23001  21055323132633665635874902239556340030107325496186408399332035814146139063461: {344895,367888,413874,2548671,2641895,3170274,4197471,4295951,4982971,6079895,6110818,6664191,6766415,7118530,7295874,7324559,7764874,8119698,8289643,8542236,8713851,8729740,8977751,9322978,9395871,9532203,9965074,10193615,10475688,10935148,11712631,11785149,11861531,12232338,12389631,13068411,13140556,13318540,13372271,13731874,14235820,14424171,14834098,15621640,15642303,15658415,15982248,15991271,16577842,16732330,17082984,17533311,17574345,17980029,18326663,18477051,18644332,18745968,18790098,18881151,19150431,19218357,19295063,19964191,20078796,20421215,20898411,20914091,21089214,21629591,22237864,22420079,22783474,23238556,23579691,24382203,24505458,25017597,25650274,25717803,25842815,26545228,26565439,26634760,27461356,28436111,29179131,29219615,29665612,29964105,30192988,30373503,30567815,30903711,31011378,31358145,31565931,31961712,32257858,32313311,32547820,32888571,32939819,33448688,33650491,33785554,34038508,34439471,35063538,35946215,35956926,36467311,36681378,37147341,37331125,37407131,37479058,37498911,37629774,37743511,39057384,39964895,40381791,40633415,40774011,41427231,41613263,41927074,42340731,43132840,43135458,43303895,43408156,43420751,43935191,43939557,44048263,44084914,44223025,44471938,44797350,44914859,45374888,46242411,46473064,47050978,47153159,47538154,47783840,47957874,48055803,48072130,48524445,48573051,48626440,48760098,48914476,49348203,49776911,50122491,50601563,50893631,51046749,51282303,51388882,51759408,51964674,52282197,53067630,53085832,53143271,53235868,53664871,53756820,53852703,54704745,55006251,55158173,55397519,55455645,55774203,56058028,56285531,56605472,57046391,57069292,57340608,57686556,57724588,57803074,58229334,58351728,58837371,59063431,59152688,59721561,59812379,59895820,60109611,60871803,62477311,62646891,62782379,62926090,63148895,63175750,63531340,63544018,63681156,63873634,63911931,64164651,64508184,64777463,64833418,65433436,65645694,65749211,65770415,66018625,66522631,66546774,66791794,66989159,67067788,67079015,67087151,67231439,67315551,68748802,69542314,69825471,70193519,70326303,71084818,71451771,71471692,71874984,71989005,72299015,72382828,72571707,72949895,73022971,73152431,73323231,74908943,75480418,75511308,75778674,75810900,76051240,76122345,76237608,76313663,76761874,76788272,77247319,77297631,77584859,77631141,77850431,78077548,78797390,78924498,79222350,79624732,79911874,80031991,80085815,80385531,80494818,80859357,80864960,81197168,81527560,82108203,82481452,82575820,82778344,83456279,83846812,84376330,84438591,84503840,85029511,85070505,85557645,85767309,85949563,85999592,86086151,86142523,86203474,86386806,86428331,86634274,86758818,87123271,87539874,87617051,87664108,87899471,89219771,89540578,89559231,89973058,90116711,90175701,90651003,90741872,90817474,90973080,91256703,91261488,91346814,91718505,91959052,92418025,92466303,92948615,93070203,93111298,93125637,94556868,94659119,94731682,94867432,95032330,95066820,95130754,95353231,95503895,95600031,95806619,96036871,96102978,96681003,96749541,97037952,97400571,97833072,98053415,98597931,98840716,99090984,99234031,99294263,99379378,...,12264784891711459680163590301502067702661259138090123111203063694885133065690258945381862420153567759040580739105631455346590989855123352709019868373962034339724013628930586940503847136367822166354174930795422297788978167505914184794256048693166987531185133538447199477308732572815455498681669061208401926614632837991393030235686611862468296489222717068898766869737884548998039893813602006311825939802678356084559955416578728013296032645503089232213406015024839612572359546940331269478936463407875656581307414251048815799270824631285211749179091728240786628266505363897167148484321637844614402295519800353965791992926719377213588696465952251640210560667212655955922284845637339639930584098137833094180587419968494388006537746683634439535494903431152626547708056138044991638614907573807848814720830723013228810981551941312371468381458368594224940534015880763449099684338549209481895339065395691355667174014215598959751208397339660931051136290459207515596756660196699221322993702603647114100146314556204492976093962909478159778584570365973102272509975459386305391871083316968173851056798069332002160413490712790450401071304628681877771521521029364837980593909724689231363539443906026005535169334164883473737121809308255791321159599432276170319424768327252158488759976222669730992186286548920261907312280124319164389618571791406942449225557366238273043791080445311601654380584366251027249935838109277970795964056161542584093780536142703706992377353527065462964097647628191155322909252547815900125290207567863478861633760908477171223683097196509951627158028712845096309849174553441104544237922575486923837254669401416189297179911624641555424812071053888918868748613472503915041589759741334022332011798760422767589675147540442977180875090693269120479164935062275569097282897187788515282062567734946635039602428807349276263691284176323889488898232192422924779203982061276775323903577972885486592208579769267692855034210057842222511456599569928722371550340806785245922002117503456467360698360907750075026902685007141225773359985444833810396772968550604284287011926790148835335870292450325266592679230386949023664819026032037712477003140544464828009259276849285366078225311127674907639963629387239029951948730784609261615550552849368183627699726620563166279683135742124249996986200463280200121846790929442742092015231940490749590958803000138978318661598666447395970967567782451625591255689673952437211841949332460238357616159861113545275724432547716448775612468169394506556492234784713607868827209939825844421125241159003106809707164830908976597853285560933723997623373153132660624287492885509669553920118364341782622432974043346159845049237441816047917325924904739691615434388765429431722104347862211882954327042649514983885973769702287626341793263099808437700815187042490746191877294930879801823591788235989525860679563706422305754102028390650970522344667416162333833816175953542995587984179061811839908983123077930399158034076821428143300212873717840375105974119936397814389054322306758822503195912737692866514225443100546984233767840042357797512092815972029710697607849677599573304394979550729326245430677589443455385427371598681613907848902639766115543055325973002640975127267341465428618078573398366154870756240076650109153431113191408665982034962609433286287969127843796820608202668136249058646788081538001091389823662514193500450575630541704676041116148094058834418158441887509936879283637162399276173957767903983654596308379562655361318710303965922502985455774139158852185546152586305985117583199898329621557399723764218001024629295740560527763023596642609391745705608688077459686959603523941698840350614455105590938094634511634705653435410769818676016874587}
23002  21130945476890882734845767745253323474261022942376192650878637477886314533011: {321902,459860,551832,620811,666217,941401,1353637,1699262,2313001,2996101,3398228,3405097,3621518,4227032,4356901,4755411,5305177,5596628,5710501,5980357,6355358,6384601,6653737,7056901,8128837,8663077,8796457,8803502,8885588,9166227,9727832,9728101,10158542,10391401,10677795,10826264,10912175,10943811,11052901,11389648,11618468,11647311,11712601,12179547,12527828,12709604,12764377,12813354,12857822,13094610,13288537,13668935,13967584,13984467,14593897,14724037,14947611,15006878,15713532,15810398,16021477,16309784,16402722,16425695,16519508,16538437,16648175,17146718,17183017,17424548,17794775,17954137,18348507,19232228,19458131,19527050,19543022,19710834,19977810,20124901,20505817,20597811,20604302,20856404,21309664,21353730,21392101,22251147,22455998,22777312,23305415,23377748,23432460,23904901,23973372,24279337,24563582,24636068,24866763,24994624,25053464,25098495,25150501,25174868,25398757,25533908,25624476,25770601,26759017,26771728,27707678,27797330,27864548,27966498,27988057,28118952,28185147,28229678,28233001,28599877,29048195,29267602,30118194,30908377,31029157,31439588,31608638,31633821,31872601,32232997,32384942,32472901,32509604,32673944,33181535,33293450,33356796,33906277,34175211,34263001,34290404,34326695,34619077,34857834,35990558,36758187,36759518,36859177,37082015,37741235,37782782,38376901,38475411,38609317,38803742,38905508,39703027,39817842,39952140,40076702,40113001,40343257,40498004,40663931,40684775,41192034,41204948,41346062,41348504,41604517,41810860,42087908,42548135,42615616,42743557,43197157,43536601,43851428,43873982,43875397,44377838,44438617,44498418,44887897,45289482,45634958,46006057,46450103,46517067,46562437,46638062,46751384,47234891,47780137,47942568,48330757,48386787,48821730,48908504,49384718,49529788,49998548,50173032,50449711,50515237,50678331,51057762,51758602,52076512,52361198,52595307,52787339,52855262,52884901,53205337,53631577,53842388,53916050,53935389,54260195,54333998,54365348,55022067,55236308,55535401,55745497,55818191,56218587,56444661,56454308,56583001,56718610,56895877,57513944,57520142,57934117,58091330,58586076,58965157,59729800,60192901,60396517,60439598,60701401,60783050,61143095,61408142,61410277,61511257,61656548,62890611,63338318,63515737,63819422,63943832,64074404,64210501,64699260,64703187,64764068,65013464,65112234,65797604,66127371,66357290,66544835,66707907,66829988,67171022,67189738,67196025,67438297,67631401,68062332,68376404,68783977,68836238,68879557,69012544,69286232,69310718,69546601,69709596,70072535,70210117,70576467,70756840,71047522,71307231,71336615,71433001,71675760,71803604,71936811,72108195,72155735,72431051,72939660,73140147,73290601,73320542,73341668,73371714,73933957,73940860,74208601,74365604,74491982,74846917,74869775,74937817,75249643,75842857,75892958,76023001,76454144,76915408,77083323,77364901,77520878,77639112,77802304,77947011,77985577,78449828,78679358,79372718,79391017,79399138,79414175,79601445,79628748,79739497,79826437,79853802,80000101,80146148,80173477,80260057,80635230,81162404,81445022,81791795,81976537,82739557,82992601,83009003,83505662,83529188,83834735,83961998,84087042,84645422,84908208,85215908,85323097,85376434,85552868,85603938,85651417,85896901,86008382,86010912,86467177,86529834,86586882,86704611,86710501,87344001,87527592,88268462,88316101,88729032,89265637,89339615,89393102,89754068,89843730,90282601,90478535,91056601,91287397,93100628,93411998,93485017,93768404,94077278,94228777,94389135,94461554,94520078,94763625,94962302,94965337,95064050,95269028,95297010,95316027,95521734,95810451,95833312,95985340,96056677,96488677,96632101,96681802,96762276,97250127,97596935,97764308,98050501,98150154,98260777,98468541,98479358,98748901,99530915,99820161,99919657,...,16353046522281946240218120402002756936881678850786830814937418259846844087587011927175816560204757012054107652140841940462121319806831136945359824498616045786298684838574115920671796181823762888472233241060563063718637556674552246392341398257555983374913511384596265969744976763753940664908892081611202568819510450655190706980915482483291061985630289425198355826317179398664053191751469341749101253070237808112746607222104970684394710194004118976284541353366452816763146062587108359305248617877167542108409885668065087732361099508380282332238788970987715504355340485196222864645762183792819203060693067138621055990568959169618118261954603002186947414222950207941229713127516452853240778797517110792240783226624659184008716995578179252713993204574870168730277408184059988851486543431743798419627774297350971747975402588416495291175277824792299920712021174351265466245784732279309193785420527588474222898685620798613001611196452881241401515053945610020795675546928932295097324936804862818800195086074939323968125283879304213038112760487964136363346633945848407189161444422624231801409064092442669547217987617053933868095072838242503695362028039153117307458546299585641818052591874701340713559112219844631649495745744341055094879465909701560425899691103002877985013301630226307989581715398560349209749706832425552519491429055209256598967409821651030725054773927082135539174112488334702999914450812370627727952074882056778791707381523604942656503138036087283952130196837588207097212336730421200167053610090484638482178347877969561631577462928679935502877371617126795079798899404588139392317230100649231783006225868554919062906548832855407233082761405185225158331484630005220055453012988445363109349065013897023452900196720590636241166787591025493972219913416367425463043862917051353709416756979928846719469905076465701684921712235098519318530976256563899705605309415035700431871437297180648789611439692356923806712280077122963348608799426571629828733787742380327896002823337941956480931147877000100035870246676188301031146647259778413862363958067472379049349235720198447114493723267100355456905640515932031553092034709383616636004187392619770679012369132380488104300414836899876853284839182985373269264974379479015487400737132490911503599635494084221706244180989498999995981600617706933495795721239256989456020309253987666121278404000185304424882131555263194627956757043268834121674252898603249615789265776613651143488213148151393700965910063621931700816624225859342075322979712951477158436279919767792561500321545337475746276219774545302130471047414578298663497830870843547499049990514012892738560157819122376829910632057794879793398983255754730556434566539652922153912518353905908962805797149615843939102723532686645181298359603050168455724350799744583601086916056654328255836393241173069098122384314652701147572751608563074338802704520867960696459556554883111778421567938057327450645572082415786545310830770573865544045435761904191066950498290453833474632159915197085852072429742345096670927883650257155352300590800729312311690453389810396682790421296039614263477132903466097739193306067639101660574236785924607180569828798242151877131870186354820724073767964003521300169689788620571490771431197821539827674986768866812204574817588544887976046616812577715050625503791729094144270224181665411529050775384001455186431550018924667267434174055606234721488197458745112557544589183346582505711516216532368231943690538644872795077839416873815091613738621230003980607698852211802914061536781741313490110933197772828743199631685624001366172394320747370350698128856812522327607478250769946249279471365255598453800819273474121250792846015512940871247214359758234689166116}
23003  21206837636386522762667353677565271970224494998062581609028511126811879960275: {23003,482853,574825,689790,735776,827748,2548893,3698653,4247785,4801357,5077033,5097342,5283790,5432277,6340548,6995785,7325197,7829701,8394942,8511853,8591902,8656297,8978533,9472981,9533037,9965942,10033957,11106985,12159790,12221636,13205253,13328382,13532830,14018173,14237060,14271061,14523085,14591748,14649118,15237813,15529748,15659785,15803593,15887005,16239396,16579286,16771333,17084472,17427702,17459480,17872597,17901301,17955502,18645956,18791742,19064406,19220031,19286733,19524493,19641915,19930148,20387230,20482741,20625757,20649385,20951376,21780685,21870296,21921781,22510317,22684693,23425262,23570298,23715597,23723062,24040285,24464676,24604083,24611401,24716653,24779262,25720077,26070505,26136822,26281112,26496457,26637080,26744542,27463748,28471640,28589701,28848342,29222185,29290575,29314533,29566251,29668196,29966715,30764101,30795085,30906453,31103797,31243280,31284606,31316830,31468585,31917385,31964496,31982542,32030595,32942701,33155684,33464660,33606313,33683997,34165968,34830685,34942237,35066622,35148690,35229577,35960058,36114877,36179941,36653326,36845373,36954102,37288664,37491936,37580196,37762302,38300862,38436714,38460853,38530201,38590126,38928877,39299485,39928382,40157592,40637005,40701193,40842430,40907461,41561517,41611117,41695995,41796822,41828182,41949747,42178428,42344517,42391081,42794941,42863005,43259182,43901403,44475728,44508301,44840158,45177291,45416701,45566948,46477112,46508941,47159382,47412957,48481417,48577413,48631885,48764406,49010916,49104037,49352581,49940175,50005981,50035194,50324701,50405101,50622505,51300548,51315433,51435606,51506185,51685630,52205053,52263575,52286751,52609885,53081197,53090456,53130878,53269520,53985837,54195613,54814285,54922712,55139277,55852357,55950853,56674173,56872222,56881117,56886781,57275401,57337597,58099837,58205613,58358262,58439230,59331224,59726763,59928210,60115053,60312901,60385976,60625453,60747006,61135630,61788051,61807422,61912235,62019093,62022756,62498185,62716290,62787901,63131862,63923424,64353001,64515716,64626622,65095640,65777142,65810973,65879638,66566757,66747627,66753613,66897376,67300982,67302985,67571108,67731301,67934223,67956685,68077016,68315677,68452437,68878942,69045385,69401701,69957093,70127076,70567885,70687357,70693117,71609101,71892430,71913852,72398341,72934622,73158877,73232595,73362756,74077077,74197357,74294682,74662250,74814262,74915497,74958116,74979757,74997822,75259548,75333961,75487022,76586643,77070685,77088421,77637903,77703613,78083797,78114768,78541797,79282893,79455337,79929790,80075077,80093005,80763582,80874075,80955085,81266830,81500997,81548022,81648013,82247005,82854462,82955977,83226526,83537485,83854148,84681462,84942301,85077915,85291741,85470505,85540933,86265680,86270916,86280213,86452873,86607790,86816312,86841502,86926477,87136995,87527317,87870382,87879114,87907237,88096526,88169828,88408453,88446050,88511113,88943876,89594700,89754505,89829718,90432781,90498781,90659397,90749053,90749776,91174575,91677085,91691197,92078581,92112213,92426075,92484822,92805757,92946128,92957005,93910621,94101956,94273597,94306318,94667401,95007477,95076308,95548393,95567680,95729133,95760877,95915748,96111606,96144260,96533557,97048890,97146102,97252880,97520196,97668351,97828952,98062285,98505397,98696406,99054301,99276637,99535935,99553822,...,24529569783422919360327180603004135405322518276180246222406127389770266131380517890763724840307135518081161478211262910693181979710246705418039736747924068679448027257861173881007694272735644332708349861590844595577956335011828369588512097386333975062370267076894398954617465145630910997363338122416803853229265675982786060471373223724936592978445434137797533739475769097996079787627204012623651879605356712169119910833157456026592065291006178464426812030049679225144719093880662538957872926815751313162614828502097631598541649262570423498358183456481573256533010727794334296968643275689228804591039600707931583985853438754427177392931904503280421121334425311911844569691274679279861168196275666188361174839936988776013075493367268879070989806862305253095416112276089983277229815147615697629441661446026457621963103882624742936762916737188449881068031761526898199368677098418963790678130791382711334348028431197919502416794679321862102272580918415031193513320393398442645987405207294228200292629112408985952187925818956319557169140731946204545019950918772610783742166633936347702113596138664004320826981425580900802142609257363755543043042058729675961187819449378462727078887812052011070338668329766947474243618616511582642319198864552340638849536654504316977519952445339461984372573097840523814624560248638328779237143582813884898451114732476546087582160890623203308761168732502054499871676218555941591928112323085168187561072285407413984754707054130925928195295256382310645818505095631800250580415135726957723267521816954342447366194393019903254316057425690192619698349106882209088475845150973847674509338802832378594359823249283110849624142107777837737497226945007830083179519482668044664023597520845535179350295080885954361750181386538240958329870124551138194565794375577030564125135469893270079204857614698552527382568352647778977796464384845849558407964122553550647807155945770973184417159538535385710068420115684445022913199139857444743100681613570491844004235006912934721396721815500150053805370014282451546719970889667620793545937101208568574023853580297670671740584900650533185358460773898047329638052064075424954006281088929656018518553698570732156450622255349815279927258774478059903897461569218523231101105698736367255399453241126332559366271484248499993972400926560400243693581858885484184030463880981499181917606000277956637323197332894791941935135564903251182511379347904874423683898664920476715232319722227090551448865095432897551224936338789013112984469569427215737654419879651688842250482318006213619414329661817953195706571121867447995246746306265321248574985771019339107840236728683565244865948086692319690098474883632095834651849809479383230868777530858863444208695724423765908654085299029967771947539404575252683586526199616875401630374084981492383754589861759603647183576471979051721359127412844611508204056781301941044689334832324667667632351907085991175968358123623679817966246155860798316068153642856286600425747435680750211948239872795628778108644613517645006391825475385733028450886201093968467535680084715595024185631944059421395215699355199146608789959101458652490861355178886910770854743197363227815697805279532231086110651946005281950254534682930857236157146796732309741512480153300218306862226382817331964069925218866572575938255687593641216405336272498117293576163076002182779647325028387000901151261083409352082232296188117668836316883775019873758567274324798552347915535807967309192616759125310722637420607931845005970911548278317704371092305172611970235166399796659243114799447528436002049258591481121055526047193285218783491411217376154919373919207047883397680701228910211181876189269023269411306870821539637352033749174}
23004  21283000567451724688394418043780326956303145131452878336641854741005022237513: {252923,643804,712163,919720,941483,987323,1034685,1103664,1241622,1332434,1399523,1536779,1882802,1902443,2221979,2358803,2707274,2905379,3398524,3450803,4402523,4492979,4626002,5170379,5980883,5992202,6295379,6430043,6796456,6810194,6967979,7102283,7243036,7646013,7925685,7995803,8307779,8454064,8663843,8713802,9510822,9728963,9773243,10392323,10436483,10610354,11193256,11318003,11421002,11713643,11757563,11960714,12502979,12592413,12634283,12710716,12769202,12809243,12887853,13307474,13594979,13725683,14113802,14768723,14948913,15277045,15634403,16195379,16257674,16324643,16840979,17326154,17592914,17607004,17771176,17796325,17998523,18239685,18332454,18979979,19136509,19412185,19455664,19456202,19490363,19992573,20126723,20299245,20317084,20676779,20761283,20782802,21014603,21309779,21355590,21520379,21652528,21814883,21824350,21887622,21973677,22105802,22276883,22779296,22995973,23236936,23281523,23294622,23307445,23425202,23948723,24359094,24572363,24868929,24912685,25055656,25194203,25401083,25419208,25528754,25626708,25715644,25896779,26141553,26185403,26189220,26514779,26577074,26802563,26925779,26933253,27337870,27745379,27935168,27968934,28031483,28187613,28276403,28596609,28643243,29187794,29448074,29895222,30013756,30580845,30790379,31192979,31427064,31620796,31875563,31915643,31995779,32042954,32475923,32619568,32627581,32715563,32805444,32851390,33039016,33076874,33296350,33671243,34186979,34293436,34329685,34366034,34384979,34503683,34661843,34780379,34849096,35137893,35355447,35371979,35490083,35584593,35589550,35908274,36628043,36697014,37085245,37168893,37720379,37837043,38380523,38464456,38916262,39054100,39076979,39086044,39205233,39347123,39421668,39955620,40116813,40249802,40667473,41011634,41195622,41208604,41444605,41494163,41712808,41760779,41830825,41874923,42065003,42619328,42707460,42784202,43272513,43578443,44480363,44502294,44911996,45554624,46454149,46610830,46715003,46755496,46864920,46926909,46975245,47121563,47379779,47563979,47809802,47821523,47946744,47973813,48057373,48372083,48558674,49030379,49127164,49272136,49322123,49649723,49733526,49989248,50106928,50194283,50196990,50301002,50349736,50797514,51067816,51248952,51541202,51637643,51914821,52599933,52723035,52791937,52837729,52925723,53518034,53543456,53884979,53940087,54061979,54168083,54309443,54415379,54943979,54979989,55415356,55431153,55594660,55729096,55823053,55932996,55976114,56237904,56370294,56459356,56466002,56623403,56643453,56958685,57199754,57317723,57451293,57559979,57629123,57655071,57885189,58077779,58096390,58249979,58353203,58535204,59210603,59278979,59567389,59892573,60198923,60236388,60707483,61146779,61263645,61816754,62058314,62322779,62385037,62695233,62742273,62757083,62879176,63217276,63223283,63267642,63422603,63745202,64125685,64217003,64250003,64465994,64769884,64888773,64945802,65019208,65137979,65347888,65399963,65726723,65966953,66363070,66586900,66713592,66766979,67187243,67260237,67638323,67670483,67812554,68350422,68526002,68580808,68653390,68695379,68791043,68918483,69013979,69172979,69238154,69395243,69553763,69585443,69715668,70059683,70122779,70217363,70343363,70739073,70971443,71981116,72465779,72867323,72928979,73146609,73298243,73328963,73516374,73519036,73696979,73718354,73941683,74164030,74763779,74854763,74975963,75052791,75482470,75519779,75565564,75964273,76061003,76753802,76867979,76950822,77153409,77218634,77373083,77402723,77528445,77607484,77811016,78991403,79137323,79224779,79406054,79428563,79635684,79696317,79863923,79904280,80037563,80153404,80226002,80644645,80686514,80996008,81327862,81369550,82155443,82384068,82409896,82579403,82692124,82697008,82748483,83001563,83029643,83209034,83589563,83621720,83923979,84118523,84175816,84463885,84534083,84699803,85096270,85167779,85231232,85308333,85359803,85487114,85524083,85600333,85906283,86069603,86394314,86720003,87073202,87204779,87285323,87537393,87553283,87658845,87702856,87747964,87750794,88193123,88325843,88405379,88755676,88877234,88996836,89275523,89458979,89775794,89892315,90318563,90578964,91066763,91120509,91269916,91323203,91476683,91703445,91986203,92012114,92163779,92542979,92711133,92900206,93034134,93124874,93162769,93276124,93502768,93697645,93793979,94074435,94115963,94411979,94469782,94697793,94829363,95146979,95438963,95560274,95885136,96355979,96523643,96595379,96661514,96773574,96939933,97142963,97643460,97817008,98085203,98101549,98435243,98665713,98760323,98769436,98819457,99059576,99794603,99871261,99931283,99997096,...,36794354675134379040490770904506203107983777414270369333609191084655399197070776836145587260460703277121742217316894366039772969565370058127059605121886103019172040886791760821511541409103466499062524792386266893366934502517742554382768146079500962593555400615341598431926197718446366496045007183625205779843898513974179090707059835587404889467668151206696300609213653646994119681440806018935477819408035068253679866249736184039888097936509267696640218045074518837717078640820993808436809390223626969743922242753146447397812473893855635247537275184722359884799516091691501445452964913533843206886559401061897375978780158131640766089397856754920631682001637967867766854536912018919791752294413499282541762259905483164019613240050903318606484710293457879643124168414134974915844722721423546444162492169039686432944655823937114405144375105782674821602047642290347299053015647628445686017196187074067001522042646796879253625192018982793153408871377622546790269980590097663968981107810941342300438943668613478928281888728434479335753711097919306817529926378158916175613249950904521553170394207996006481240472138371351203213913886045633314564563088094513941781729174067694090618331718078016605508002494650421211365427924767373963478798296828510958274304981756475466279928668009192976558859646760785721936840372957493168855715374220827347676672098714819131373241335934804963141753098753081749807514327833912387892168484627752281341608428111120977132060581196388892292942884573465968727757643447700375870622703590436584901282725431513671049291589529854881474086138535288929547523660323313632713767726460771511764008204248567891539734873924666274436213161666756606245840417511745124769279224002066996035396281268302769025442621328931542625272079807361437494805186826707291848691563365545846187703204839905118807286422047828791073852528971668466694696577268774337611946183830325971710733918656459776625739307803078565102630173526667534369798709786167114651022420355737766006352510369402082095082723250225080708055021423677320079956334501431190318905651812852861035780370446506007610877350975799778037691160847070994457078096113137431009421633394484027777830547856098234675933383024722919890888161717089855846192353827784846651658548104550883099179861689498839049407226372749990958601389840600365540372788328226276045695821472248772876409000416934955984795999342187912902703347354876773767069021857311635525847997380715072848479583340635827173297643149346326837404508183519669476704354140823606481629819477533263375723477009320429121494492726929793559856682801171992870119459397981872862478656529008661760355093025347867298922130038479535147712325448143751977774714219074846303166296288295166313043586635648862981127948544951657921309106862879025379789299425313102445561127472238575631884792639405470775364707968577582038691119266917262306085171952911567034002248487001501448527860628986763952537185435519726949369233791197474102230464284429900638621153521125317922359809193443167162966920276467509587738213078599542676329301640952701303520127073392536278447916089132092823549032798719913184938652187978736292032768330366156282114796044841723546707919298346629165977919007922925381802024396285854235720195098464612268720229950327460293339574225997946104887828299858863907383531390461824608004408747175940364244614003274169470987542580501351726891625114028123348444282176503254475325662529810637850911487197828521873303711950963788925138687966083956130911897767508956367322417476556556638457758917955352749599694988864672199171292654003073887887221681583289070789927828175237116826064232379060878810571825096521051843365316772814283903534904116960306232309456028050623761}
23005  21359435229784859812322465647149470097714669478822413963358376726460829342027: {46006,804755,965706,1149650,1379580,1471552,1655496,1862433,1998651,2824203,4060911,4248155,5097786,5674331,5946899,6939003,7397306,7830383,8495570,8657051,8988303,9053795,9253283,9602714,9794099,10034831,10154066,10194684,10215291,10567580,10864554,12681096,13070703,13991570,14266233,14650394,15549779,15659402,15888395,15915531,16789884,17023706,17131503,17183804,17312594,17941071,17957066,18405563,18744431,18945962,19066074,19153803,19931884,19961211,20067914,20332319,21156083,21170703,21923699,22008755,22048223,22213970,22241807,24319580,24386511,24443272,25396355,25989231,26107019,26308739,26389371,26410506,26656764,27065660,27498681,28036346,28474120,28542122,28909139,29046170,29183496,29184303,29298236,30475626,30492959,31059496,31174203,31319570,31607186,31774010,32033385,32144555,32158163,32478792,32736525,32831433,33158572,33158703,33542666,33656399,34168944,34383407,34855404,34918960,34941933,35137803,35745194,35802602,35911004,36498707,36538641,37291912,37517195,37583484,37659203,38128812,38293131,38440062,38573466,38932283,39048986,39283830,39525995,39859619,39860296,39865611,40409723,40774460,40911059,40965482,41006805,41251514,41295371,41298770,41902752,41953401,42866795,43113119,43561370,43740592,43781691,43843562,44056019,44172111,44684339,44842833,45020634,45369386,46850524,47140596,47378267,47431194,47446124,47577839,48064431,48080570,48762959,48817625,48857555,48929352,49208166,49222802,49277085,49356899,49433306,49558524,49615311,49944525,51440154,51510755,51549051,51701099,51824963,52141010,52273644,52562224,52879343,52992914,53274160,53384325,53489084,53674283,53862411,54927496,55019279,55045521,55158767,56139995,56771579,56891807,56943280,57179402,57696684,58374393,58444370,58581150,58629066,59132502,59336392,59933430,60008207,60069323,60374703,61408955,61517451,61528202,61590170,61793433,61812906,62207594,62486560,62569212,62633660,62937170,63834770,63928992,63965084,64061190,64176303,65885402,66007331,66311368,66753441,66929320,67212626,67367994,68084639,68331936,68791139,69218699,69269195,69493325,69661370,69884474,69916245,70133244,70177139,70297380,70459154,70574195,70871507,71278883,71714703,71920116,72108659,72229754,72359882,72838011,73027103,73169005,73306652,73653839,73690746,73908204,74203883,74577328,74600289,74983872,75160392,75295485,75451503,75524604,76196271,76601724,76739999,76873428,76921706,77060402,77180252,77311803,77566607,77857754,78598970,79021595,79856764,80046083,80082083,80277051,80315184,80962355,81274010,81402386,81684860,81701099,81814922,82084019,83123034,83222234,83233625,83391990,83546411,83593644,83656364,83899494,83964171,84356856,84555441,84689034,84699003,84782162,85589882,85726010,85799631,86157647,86460491,86518364,86677129,87144585,87497459,87802806,88951456,89016602,89680316,89976395,90354582,90506699,90833402,91133896,91898795,92190347,92280851,92725131,92813963,92954224,93017882,93087471,93498299,94224179,94318764,94456955,94825914,94901463,95139359,95617803,96542003,96663539,96698991,96962834,97009355,97154826,97263770,97418703,97528812,98021832,98208074,98705162,98795039,99285323,99544605,99880350,...,49059139566845838720654361206008270810645036552360492444812254779540532262761035781527449680614271036162322956422525821386363959420493410836079473495848137358896054515722347762015388545471288665416699723181689191155912670023656739177024194772667950124740534153788797909234930291261821994726676244833607706458531351965572120942746447449873185956890868275595067478951538195992159575254408025247303759210713424338239821666314912053184130582012356928853624060099358450289438187761325077915745853631502626325229657004195263197083298525140846996716366912963146513066021455588668593937286551378457609182079201415863167971706877508854354785863809006560842242668850623823689139382549358559722336392551332376722349679873977552026150986734537758141979613724610506190832224552179966554459630295231395258883322892052915243926207765249485873525833474376899762136063523053796398737354196837927581356261582765422668696056862395839004833589358643724204545161836830062387026640786796885291974810414588456400585258224817971904375851637912639114338281463892409090039901837545221567484333267872695404227192277328008641653962851161801604285218514727511086086084117459351922375638898756925454157775624104022140677336659533894948487237233023165284638397729104681277699073309008633955039904890678923968745146195681047629249120497276657558474287165627769796902229464953092175164321781246406617522337465004108999743352437111883183856224646170336375122144570814827969509414108261851856390590512764621291637010191263600501160830271453915446535043633908684894732388786039806508632114851380385239396698213764418176951690301947695349018677605664757188719646498566221699248284215555675474994453890015660166359038965336089328047195041691070358700590161771908723500362773076481916659740249102276389131588751154061128250270939786540158409715229397105054765136705295557955592928769691699116815928245107101295614311891541946368834319077070771420136840231368890045826398279714889486201363227140983688008470013825869442793443631000300107610740028564903093439941779335241587091874202417137148047707160595341343481169801301066370716921547796094659276104128150849908012562177859312037037107397141464312901244510699630559854517548956119807794923138437046462202211397472734510798906482252665118732542968496999987944801853120800487387163717770968368060927761962998363835212000555913274646394665789583883870271129806502365022758695809748847367797329840953430464639444454181102897730190865795102449872677578026225968939138854431475308839759303377684500964636012427238828659323635906391413142243734895990493492612530642497149971542038678215680473457367130489731896173384639380196949767264191669303699618958766461737555061717726888417391448847531817308170598059935543895078809150505367173052399233750803260748169962984767509179723519207294367152943958103442718254825689223016408113562603882089378669664649335335264703814171982351936716247247359635932492311721596632136307285712573200851494871361500423896479745591257556217289227035290012783650950771466056901772402187936935071360169431190048371263888118842790431398710398293217579918202917304981722710357773821541709486394726455631395610559064462172221303892010563900509069365861714472314293593464619483024960306600436613724452765634663928139850437733145151876511375187282432810672544996234587152326152004365559294650056774001802302522166818704164464592376235337672633767550039747517134548649597104695831071615934618385233518250621445274841215863690011941823096556635408742184610345223940470332799593318486229598895056872004098517182962242111052094386570437566982822434752309838747838414095766795361402457820422363752378538046538822613741643079274704067498348}
23006  21436142586463309409700492277597713430842280104766627534213471497758644748767: {69009,298909,505846,987409,1287608,1424326,1448559,1724475,1839440,1882966,1974646,2069370,2207328,2483244,2664868,2799046,3073558,3765604,3804886,4443958,4538593,4717606,5080609,5215933,5414548,5810758,6797048,6901606,6968593,7639453,7646679,8308513,8805046,8985958,9252004,9774109,9906913,10304893,10340758,10437409,11095959,11758609,11961766,11984404,12590758,12743355,12860086,13209475,13592912,13620388,13935958,14204566,14404071,14486072,15231099,15292026,15851370,15991606,16196833,16296831,16326109,16615558,16908128,17327686,17427604,18896509,19021644,19024273,19407133,19457926,19534609,19546486,20784646,20872966,20987355,21220708,21311713,21387863,21479755,21975591,22194973,22386512,22636006,22842004,23325409,23427286,23450653,23489103,23515126,23921428,24914855,25005958,25184826,25268566,25421432,25535559,25538404,25618486,25775706,25968891,26614948,26935599,27174493,27177059,27189958,27451366,27788833,28227604,28418943,28599111,29537446,29897826,30101871,30399475,30554090,30577063,30833533,31195873,31268806,31918609,32038813,32390758,32515348,32630423,32649286,33320955,33681958,33832075,34427773,34652308,34783633,34877759,35185828,35214008,35542352,35592650,35997046,36082909,36479370,36622795,36664908,36670609,37373473,37959958,38273018,38824370,38911328,38912404,38980726,39466513,39615759,39985146,40253446,40598490,40634168,41353558,41448215,41522566,41565604,41764753,41878909,42029206,42054519,42619558,42711180,42813183,43040758,43305056,43569255,43629766,43648700,43775244,43947354,44211604,44553766,44888755,45558592,45713439,45991946,46473872,46563046,46589244,46614890,46850404,46979355,47384353,47410779,47661015,47897446,48061559,48718188,49144726,49737858,49825370,50111312,50313999,50388406,50778109,50802166,50838416,50968075,51057508,51253416,51431288,51793558,51919343,52283106,52370806,52378440,53029558,53154148,53358013,53605126,53617791,53703903,53851558,53866506,53890273,54102673,54526609,54675740,55160353,55490758,55870336,55937868,56062966,56375226,56552806,57150109,57193218,57286486,57565693,57660093,57860199,58022447,58375588,58563155,58573479,58599613,58896148,58925745,59307655,59790444,60027512,61161690,61355233,61448223,61580758,61877271,61948155,62385958,62390471,62763409,62854128,63163153,63241592,63751126,63831286,63859933,63900463,63991558,64085908,64256509,64951846,65144593,65239136,65255162,65341153,65342055,65431126,65610888,65702780,65765343,65972699,66078032,66153748,66592700,66861355,67342486,67530951,67677409,68054079,68254993,68373958,68542813,68586872,68659370,68732068,68734333,68769958,69007366,69211873,69323686,69560758,69592609,69698192,70275786,70710894,70743958,70980166,71010109,71146791,71169186,71179100,71385373,71816548,71946109,72039313,72120855,72504253,72874909,72993019,73256086,73336609,73394028,73727771,73812249,73834203,74149959,74170490,74337786,74801953,75440758,75674086,76428433,76761046,76928912,77160231,77410909,77832524,78108200,78153958,78172088,78211515,78292075,78410466,78694246,78843336,79262353,79489371,79742159,79911240,79956355,80233626,80499604,80824033,81334946,82023268,82192609,82391244,82417208,82889210,82988326,83038609,83425616,83458909,83521558,83661650,83749846,83960893,84130006,84210913,85204513,85238656,85414920,85568404,85769103,86545026,87156886,87160609,87241213,87666555,87871725,87943599,88698753,88838173,88960726,89004588,89468893,89775959,89823992,89900145,89938909,91025533,91109248,91633315,92174113,92292303,92326033,92385255,92719359,92908298,93221660,93311391,93430006,93510992,93729840,93853818,93950490,94126609,94243126,94405755,94422673,94759558,95127958,95157793,95522653,95619604,95643046,95752155,95893488,95947626,96091785,96114746,96475315,96744166,96964093,97035409,97117348,97744609,98026273,98060758,98254328,98516413,98544272,98644246,98828103,99210493,99299446,99467052,99820955,99978496,...,73588709350268758080981541809012406215967554828540738667218382169310798394141553672291174520921406554243484434633788732079545939130740116254119210243772206038344081773583521643023082818206932998125049584772533786733869005035485108765536292159001925187110801230683196863852395436892732992090014367250411559687797027948358181414119671174809778935336302413392601218427307293988239362881612037870955638816070136507359732499472368079776195873018535393280436090149037675434157281641987616873618780447253939487844485506292894795624947787711270495074550369444719769599032183383002890905929827067686413773118802123794751957560316263281532178795713509841263364003275935735533709073824037839583504588826998565083524519810966328039226480101806637212969420586915759286248336828269949831689445442847092888324984338079372865889311647874228810288750211565349643204095284580694598106031295256891372034392374148134003044085293593758507250384037965586306817742755245093580539961180195327937962215621882684600877887337226957856563777456868958671507422195838613635059852756317832351226499901809043106340788415992012962480944276742702406427827772091266629129126176189027883563458348135388181236663436156033211016004989300842422730855849534747926957596593657021916548609963512950932559857336018385953117719293521571443873680745914986337711430748441654695353344197429638262746482671869609926283506197506163499615028655667824775784336969255504562683216856222241954264121162392777784585885769146931937455515286895400751741245407180873169802565450863027342098583179059709762948172277070577859095047320646627265427535452921543023528016408497135783079469747849332548872426323333513212491680835023490249538558448004133992070792562536605538050885242657863085250544159614722874989610373653414583697383126731091692375406409679810237614572844095657582147705057943336933389393154537548675223892367660651943421467837312919553251478615606157130205260347053335068739597419572334229302044840711475532012705020738804164190165446500450161416110042847354640159912669002862380637811303625705722071560740893012015221754701951599556075382321694141988914156192226274862018843266788968055555661095712196469351866766049445839781776323434179711692384707655569693303317096209101766198359723378997678098814452745499981917202779681200731080745576656452552091391642944497545752818000833869911969591998684375825805406694709753547534138043714623271051695994761430145696959166681271654346595286298692653674809016367039338953408708281647212963259638955066526751446954018640858242988985453859587119713365602343985740238918795963745724957313058017323520710186050695734597844260076959070295424650896287503955549428438149692606332592576590332626087173271297725962255897089903315842618213725758050759578598850626204891122254944477151263769585278810941550729415937155164077382238533834524612170343905823134068004496974003002897055721257973527905074370871039453898738467582394948204460928568859801277242307042250635844719618386886334325933840552935019175476426157199085352658603281905402607040254146785072556895832178264185647098065597439826369877304375957472584065536660732312564229592089683447093415838596693258331955838015845850763604048792571708471440390196929224537440459900654920586679148451995892209775656599717727814767062780923649216008817494351880728489228006548338941975085161002703453783250228056246696888564353006508950651325059621275701822974395657043746607423901927577850277375932167912261823795535017912734644834953113113276915517835910705499199389977729344398342585308006147775774443363166578141579855656350474233652128464758121757621143650193042103686730633545628567807069808233920612464618912056101247522}
23007  21513123603955283296926269758912258111418814990980139316339244679218938366018: {92012,758769,1126657,1609510,1931412,2136489,2299300,2759160,2824449,2943104,2961969,3104055,3310992,3331085,3724866,3997302,4198569,4610337,4707005,5648406,5707329,5812169,5947417,6639197,6665937,6768185,7076409,8121822,8496310,8716137,9254089,10195572,10352409,11319773,11348662,11565005,11893798,12146369,12675313,13207569,13375769,13478937,13878006,14794612,14886113,14980505,15511137,15660766,16991140,17025485,17314102,17942649,17976606,18107590,18331457,18506566,18886137,19205428,19290129,19588198,20069662,20308132,20389368,20430582,20666237,20903937,21135160,21306849,21635249,21729108,21752029,21784505,22243753,22425953,22938039,23777055,23987409,24794897,24923337,25362192,25991529,26141406,26525885,27272093,27983140,28532466,28552505,29178433,29186889,29300788,29319729,29901785,30812257,31099558,31176969,31309449,31318804,31776790,31831062,31923005,32321777,33268685,33579768,33954009,34047412,34263006,34367608,34448513,34625188,34649213,35140929,35272689,35284505,35554897,35882142,35914132,36811126,37488862,37508937,37777239,37891924,37902849,38132148,38307606,38427729,38663559,39863768,39922422,40135828,40644185,40664638,40784937,41177049,42312166,42341406,42380929,43315385,43718009,43847398,43946717,43982285,44017510,44096446,44306169,44427940,44483614,44846739,44926673,45002377,45831135,46903209,47165513,48586137,48639160,48640505,48773022,48886544,48973929,50522937,50792710,50906993,51957005,51978462,52214038,52524073,52617478,52778742,52821012,53224637,53313528,53388975,53995569,54131320,54560875,54719055,54997362,55163593,55264505,55336393,55412033,56072692,56300297,56854193,56939937,56948240,57061337,57084244,57409527,57818278,58092340,58236555,58366992,58368606,58471089,58563005,58596472,59441729,59977719,60013513,60380169,60897735,60951252,60985918,62030337,62118992,62283849,62348406,62493769,62639140,63043809,63214372,63504473,63548020,63821885,63929337,64066770,64283153,64289110,64316326,64328909,64561137,64957584,65444649,65473050,65662866,65921031,66317144,66317406,66442685,66830649,67006733,67085332,67104797,67249193,67312798,68337888,68344675,68400577,68766814,68856089,68987919,69413873,69710808,69837920,69844569,69883866,69922335,70275606,70968713,71490388,71605204,71822008,71846169,72115057,72969485,72997414,73077282,73620185,73717089,74583824,74606787,74738055,75034390,75166968,75318406,75582609,76203249,76257624,76586262,76880124,77146932,77690337,77864566,78097972,78424659,78433273,78556209,78567660,78595993,79051990,79081673,79544337,79719238,79720592,79731222,80107385,80407689,80777337,80799759,80819446,81548920,81803917,81822118,81930964,82013610,82128475,82503028,82590742,82597540,82692185,83236137,83240875,83478173,83805504,83906802,84094449,84562839,84829209,85733590,85789827,85915085,85929729,85972537,86226238,87122740,87481184,87563382,87640097,87687124,87922769,88112038,88344222,88973875,89243177,89368678,89393513,89685666,89770685,90041268,90738772,90764969,91312993,91742535,92198413,92371137,92437313,93578937,93701048,94281192,94756534,94862388,94892248,95155678,95268569,95626689,95669393,95746929,95831753,95987337,96128862,96161140,96976873,97027313,97290655,97427769,97525918,97635250,97715110,97858704,97882743,98146689,98416332,98445604,98554170,98713798,98803873,98866612,99117048,99230622,99889050,...,110383064025403137121472312713518609323951332242811108000827573253966197591212330508436761781382109831365226651950683098119318908696110174381178815365658309057516122660375282464534624227310399497187574377158800680100803507553227663148304438238502887780666201846024795295778593155339099488135021550875617339531695541922537272121179506762214668403004453620088901827640960940982359044322418056806433458224105204761039598749208552119664293809527803089920654135223556513151235922462981425310428170670880909231766728259439342193437421681566905742611825554167079654398548275074504336358894740601529620659678203185692127936340474394922298268193570264761895046004913903603300563610736056759375256883240497847625286779716449492058839720152709955819454130880373638929372505242404924747534168164270639332487476507119059298833967471811343215433125317348024464806142926871041897159046942885337058051588561222201004566127940390637760875576056948379460226614132867640370809941770292991906943323432824026901316831005840436784845666185303438007261133293757920452589779134476748526839749852713564659511182623988019443721416415114053609641741658136899943693689264283541825345187522203082271854995154234049816524007483951263634096283774302121890436394890485532874822914945269426398839786004027578929676578940282357165810521118872479506567146122662482043030016296144457394119724007804414889425259296259245249422542983501737163676505453883256844024825284333362931396181743589166676878828653720397906183272930343101127611868110771309754703848176294541013147874768589564644422258415605866788642570980969940898141303179382314535292024612745703674619204621773998823308639485000269818737521252535235374307837672006200988106188843804908307076327863986794627875816239422084312484415560480121875546074690096637538563109614519715356421859266143486373221557586915005400084089731806323012835838551490977915132201755969379329877217923409235695307890520580002603109396129358501343953067261067213298019057531108206246285248169750675242124165064271031960239869003504293570956716955438558583107341111339518022832632052927399334113073482541212983371234288339412293028264900183452083333491643568294704027800149074168759672664485151269567538577061483354539954975644313652649297539585068496517148221679118249972875804169521801096621118364984678828137087464416746318629227001250804867954387998026563738708110042064630321301207065571934906577543992142145218545438750021907481519892929448038980512213524550559008430113062422470819444889458432599790127170431027961287364483478180789380679570048403515978610358378193945618587435969587025985281065279076043601896766390115438605443136976344431255933324142657224538909498888864885498939130759906946588943383845634854973763927320588637076139367898275939307336683382416715726895654377918216412326094123905732746116073357800751786918255515858734701102006745461004504345583581886960291857611556306559180848107701373592422306691392853289701915863460563375953767079427580329501488900760829402528763214639235798628028987904922858103910560381220177608835343748267396278470647098396159739554815956563936208876098304991098468846344388134525170640123757895039887497933757023768776145406073188857562707160585295393836806160689850982380880018722677993838314663484899576591722150594171385473824013226241527821092733842009822508412962627741504055180674875342084370045332846529509763425976987589431913552734461593485565619911135852891366775416063898251868392735693302526869101967252429669669915373276753866058248799084966594016597513877962009221663661665044749867212369783484525711350478192697137182636431715475289563155530095950318442851710604712350880918696928368084151871283}
23008  21590379252131679461471927060378181403342622674805450109561014328398449698366: {115015,138018,597818,1011692,1079167,1628527,1974818,2313607,2414265,2450407,2575216,2848652,2874125,2897118,2996887,3133327,3405991,3448950,3678880,3765932,3949292,4138740,4358047,4414656,4493767,4966488,5329736,5441791,5587299,5598092,5847007,5995953,6116791,6147116,6386287,7058767,7193047,7531208,7609772,8472609,8798791,8887916,9077186,9435212,10161218,10431866,10526647,10829096,11621516,12182733,12744465,13422991,13594096,13803212,13815247,13937186,14337247,14727991,15278906,15293358,15637207,16617026,16929967,17022993,17610092,17840697,17971916,18493265,18504008,19548218,19813826,20511391,20609786,20681516,20765047,20817009,20874818,21238925,21397927,21524287,22191918,22658287,23491149,23517218,23923532,23968808,24006785,24036367,25181516,25385165,25486710,25720172,25901527,25971153,26418950,26964909,27161385,27185824,27240776,27759849,27871916,28363207,28409132,28808142,28972144,29382297,29461567,30071657,30104493,30432991,30462198,30584052,30645873,31037791,31279207,31702740,31983212,32001727,32393666,32593662,32652218,33231116,33816256,34272607,34391407,34655372,34855208,34880797,34978925,35575447,36136529,36625985,37793018,37921927,38043288,38048546,38814266,38915852,39069218,39092972,39148505,39212109,40124407,40239607,41043991,41569292,41745932,41958967,41974710,42441416,42528487,42559265,42623426,42775726,42798699,42959510,43281485,43322791,43662127,43951182,44113567,44389946,44451391,44773024,44892665,45272012,45684008,46464727,46649337,46650818,46854572,46901306,46978206,47030252,47364905,47665185,47746593,47842856,49112887,49829710,50011916,50169785,50369652,50529991,50537132,50842864,51071118,51076808,51236972,51271913,51394509,51551412,51827287,51937782,53220991,53229896,53823213,53871198,54348986,54354118,54379916,54902732,55025167,55216689,55534925,55577666,56181487,56233293,56390791,56455208,56837886,57198222,57461409,57640567,57951391,58027501,59074892,59290807,59795652,59883633,60203742,60210967,60798950,60996957,61108180,61154126,61529791,61667066,62033791,62391746,62537612,62836447,62844257,63468249,63512109,63837218,63906029,64077626,64329007,64781516,65019991,65030696,65260846,65298572,65771097,65805367,66026265,66144669,66641910,66725421,67363916,67458991,67664150,67748647,68855546,68900791,69304616,69567266,69568087,69755518,70090865,70137247,70371656,70428016,71084704,71185300,71355305,71735791,71994092,72165818,72615425,72944167,72958740,72999377,73159533,73245590,73329816,73341218,73734193,73773607,74746946,74961391,75518729,75919916,76137007,76189065,76546036,76764991,77389447,77648740,77822656,77824808,77961452,77967693,78098791,78298925,78321057,78926217,78933026,79017965,79154167,79168113,79231518,79435025,79851991,79970292,80285791,80506892,80976127,81196980,81268336,81580433,81747247,81988417,82173127,82496043,82707116,82896430,83030717,83045132,83131208,83529506,83757818,83856665,83942167,84058412,84109038,85186327,85239116,85422360,85626366,85761391,86081516,86264477,86332927,86610112,86727417,86739007,87138510,87259532,87297400,87550488,87552909,87626047,87894708,88423208,88424887,88583791,88979791,89107532,89137687,89362985,89506505,89609647,89777510,90312727,90700807,91117184,91164127,91317991,91426878,91478877,91983892,92235127,92947744,93126092,93178488,93229780,93366967,93522609,93591391,93605897,93700808,93958710,94482607,94768706,94821558,94850887,95070991,95322030,95794892,96100155,96123118,96433665,96474489,96521791,96665287,97378447,97436376,97622465,98154607,98209575,98289452,98494299,98852647,99475716,99476109,99650740,99817807,...,147177418700537516161963083618024812431935109657081477334436764338621596788283107344582349041842813108486968869267577464159091878261480232508238420487544412076688163547167043286046165636413865996250099169545067573467738010070970217531072584318003850374221602461366393727704790873785465984180028734500823119375594055896716362828239342349619557870672604826785202436854614587976478725763224075741911277632140273014719464998944736159552391746037070786560872180298075350868314563283975233747237560894507878975688971012585789591249895575422540990149100738889439539198064366766005781811859654135372827546237604247589503915120632526563064357591427019682526728006551871471067418147648075679167009177653997130167049039621932656078452960203613274425938841173831518572496673656539899663378890885694185776649968676158745731778623295748457620577500423130699286408190569161389196212062590513782744068784748296268006088170587187517014500768075931172613635485510490187161079922360390655875924431243765369201755774674453915713127554913737917343014844391677227270119705512635664702452999803618086212681576831984025924961888553485404812855655544182533258258252352378055767126916696270776362473326872312066422032009978601684845461711699069495853915193187314043833097219927025901865119714672036771906235438587043142887747361491829972675422861496883309390706688394859276525492965343739219852567012395012326999230057311335649551568673938511009125366433712444483908528242324785555569171771538293863874911030573790801503482490814361746339605130901726054684197166358119419525896344554141155718190094641293254530855070905843086047056032816994271566158939495698665097744852646667026424983361670046980499077116896008267984141585125073211076101770485315726170501088319229445749979220747306829167394766253462183384750812819359620475229145688191315164295410115886673866778786309075097350447784735321303886842935674625839106502957231212314260410520694106670137479194839144668458604089681422951064025410041477608328380330893000900322832220085694709280319825338005724761275622607251411444143121481786024030443509403903199112150764643388283977828312384452549724037686533577936111111322191424392938703733532098891679563552646868359423384769415311139386606634192418203532396719446757995356197628905490999963834405559362401462161491153312905104182783285888995091505636001667739823939183997368751651610813389419507095068276087429246542103391989522860291393918333362543308693190572597385307349618032734078677906817416563294425926519277910133053502893908037281716485977970907719174239426731204687971480477837591927491449914626116034647041420372101391469195688520153918140590849301792575007911098856876299385212665185153180665252174346542595451924511794179806631685236427451516101519157197701252409782244509888954302527539170557621883101458831874310328154764477067669049224340687811646268136008993948006005794111442515947055810148741742078907797476935164789896408921857137719602554484614084501271689439236773772668651867681105870038350952852314398170705317206563810805214080508293570145113791664356528371294196131194879652739754608751914945168131073321464625128459184179366894186831677193386516663911676031691701527208097585143416942880780393858449074880919801309841173358296903991784419551313199435455629534125561847298432017634988703761456978456013096677883950170322005406907566500456112493393777128706013017901302650119242551403645948791314087493214847803855155700554751864335824523647591070035825469289669906226226553831035671821410998398779955458688796685170616012295551548886726333156283159711312700948467304256929516243515242287300386084207373461267091257135614139616467841224929237824112202495044}
23009  21667910504277984897271883337961779724202277630326271227932254960771846118203: {184024,207027,896727,1264615,1517538,2253314,2962227,3219020,3560815,3862824,4272978,4345677,4598600,4663519,4707415,4936615,5173425,5518320,5648898,5886208,5923938,6208110,6589807,6621984,6662170,6868927,6997615,7420279,7449732,7683895,7994604,8397138,9220674,9345127,9414010,9475459,9512215,11109895,11296812,11320759,11414658,11624338,11794015,11894834,12100447,12147427,12651511,13278394,13331874,13536370,13615779,14152818,14526895,15241827,15390727,15647799,15807727,16191007,16243644,16992620,17254015,17432274,17592679,18508178,20391144,20488099,20704818,20905779,20972707,22012615,22464895,22639546,22690627,22697324,22918359,22940037,23097559,23130010,23787596,23835679,24292738,24435367,24617839,24925539,25350626,25851895,26415138,26503399,26751538,26957874,27665647,27756012,28602439,29152927,29322327,29589224,29720739,29772226,29904415,29961010,30498307,30914679,31022274,31312227,31321532,31476895,31950787,32150215,33287877,33982280,34050970,34451527,34628204,34839895,34951411,35275827,35511415,35885298,35953212,36124339,36215180,36662914,37013132,37136239,37772274,38230065,38410856,38580258,38725591,39176396,39217831,39628425,39973507,39979015,40139324,40616264,40711879,40778736,40861164,41332474,41538895,41622019,41807874,41862499,42270320,42613698,43212213,43270498,43319215,43458216,43504058,43569010,44168767,44487506,44692207,44851906,45428647,45693297,45876078,46576159,47554110,47917507,47974818,48494119,48590499,48644815,48866215,48890493,48978327,49116919,49398307,49589794,49846674,50418307,50724384,50911447,51961615,51983058,52182415,52282812,52466191,52888627,53051770,53095159,54001639,54544186,55966280,56590015,56689527,56896051,56901859,57064932,57072819,57105010,57290407,57352639,57355111,58115059,58221399,58356866,58373778,58568215,58601576,58603827,58639458,58787815,59486359,59803570,60160927,60641539,61575199,61624514,62199116,62353938,62514895,62618898,62637608,62909047,62962065,63171415,63553580,63662124,63846010,63935139,64046215,64163589,64288807,64439265,64643554,65657167,65926773,66537370,66584919,66771139,67159536,67191319,67749187,67908018,67974895,68094824,68096707,68333599,68526012,68628415,68735216,68897026,69230887,69250376,69298426,69976227,70189447,70218247,70281858,70351959,70467309,70545378,70569010,71109794,71627887,71764284,71828264,72295231,72739807,73622252,73843615,74744565,74977724,74999479,75017874,75554478,75783848,75805698,75863107,75970999,76264296,76385225,76606677,76615212,76627507,76855458,77327118,77370307,77580211,77906673,78172015,79476319,79727536,79844844,80271656,80806797,80976895,81288370,81329276,81523479,81531177,81569874,81623215,81988207,82354098,83366499,84167599,84204895,84624332,84682812,84761858,85256829,85468927,85797333,86317279,86458867,86630770,87436018,87550279,87694796,87893434,87964570,88035020,88192892,88612338,88855880,88967228,88981625,89350639,89401411,89693478,89853346,89992615,90004754,90305613,90957967,91198425,91662270,91731189,92500599,93019759,93210847,93460159,93587619,93806418,93896419,94298611,94331026,94899895,95573479,95682545,95755827,95785999,96116439,97035847,97060925,97172274,97278320,97281010,97451815,97546044,97773088,97891269,97947858,98531239,99080287,99962865,...,220766128050806274242944625427037218647902664485622216001655146507932395182424661016873523562764219662730453303901366196238637817392220348762357630731316618115032245320750564929069248454620798994375148754317601360201607015106455326296608876477005775561332403692049590591557186310678198976270043101751234679063391083845074544242359013524429336806008907240177803655281921881964718088644836113612866916448210409522079197498417104239328587619055606179841308270447113026302471844925962850620856341341761818463533456518878684386874843363133811485223651108334159308797096550149008672717789481203059241319356406371384255872680948789844596536387140529523790092009827807206601127221472113518750513766480995695250573559432898984117679440305419911638908261760747277858745010484809849495068336328541278664974953014238118597667934943622686430866250634696048929612285853742083794318093885770674116103177122444402009132255880781275521751152113896758920453228265735280741619883540585983813886646865648053802633662011680873569691332370606876014522266587515840905179558268953497053679499705427129319022365247976038887442832830228107219283483316273799887387378528567083650690375044406164543709990308468099633048014967902527268192567548604243780872789780971065749645829890538852797679572008055157859353157880564714331621042237744959013134292245324964086060032592288914788239448015608829778850518592518490498845085967003474327353010907766513688049650568666725862792363487178333353757657307440795812366545860686202255223736221542619509407696352589082026295749537179129288844516831211733577285141961939881796282606358764629070584049225491407349238409243547997646617278970000539637475042505070470748615675344012401976212377687609816614152655727973589255751632478844168624968831120960243751092149380193275077126219229039430712843718532286972746443115173830010800168179463612646025671677102981955830264403511938758659754435846818471390615781041160005206218792258717002687906134522134426596038115062216412492570496339501350484248330128542063920479738007008587141913433910877117166214682222679036045665264105854798668226146965082425966742468576678824586056529800366904166666983287136589408055600298148337519345328970302539135077154122966709079909951288627305298595079170136993034296443358236499945751608339043602193242236729969357656274174928833492637258454002501609735908775996053127477416220084129260642602414131143869813155087984284290437090877500043814963039785858896077961024427049101118016860226124844941638889778916865199580254340862055922574728966956361578761359140096807031957220716756387891237174871939174051970562130558152087203793532780230877210886273952688862511866648285314449077818997777729770997878261519813893177886767691269709947527854641177274152278735796551878614673366764833431453791308755836432824652188247811465492232146715601503573836511031717469402204013490922009008691167163773920583715223112613118361696215402747184844613382785706579403831726921126751907534158855160659002977801521658805057526429278471597256057975809845716207821120762440355217670687496534792556941294196792319479109631913127872417752196609982196937692688776269050341280247515790079774995867514047537552290812146377715125414321170590787673612321379701964761760037445355987676629326969799153183444301188342770947648026452483055642185467684019645016825925255483008110361349750684168740090665693059019526851953975178863827105468923186971131239822271705782733550832127796503736785471386605053738203934504859339339830746553507732116497598169933188033195027755924018443327323330089499734424739566969051422700956385394274365272863430950579126311060191900636885703421209424701761837393856736168303742566}
23010  21745718337106217787791138958301234218401589884231696082301290683729696072650: {161021,230030,276036,390881,850001,1079261,1195636,1537181,1674401,2023384,2039969,2158334,2276307,2359421,2496209,3179069,3257054,3379971,3406289,3451709,3587921,3949636,4023775,4403681,4539389,4627214,4828530,4900814,5081501,5150432,5171741,5307041,5487329,5697304,5748250,5794236,5993774,6117329,6162269,6266654,6409467,6431741,6656081,6811982,6897900,7059389,7104161,7357760,7506749,7531864,7898584,8131709,8277480,8309981,8443601,8473347,8716094,8799569,8829312,8885907,8977361,8987534,9312165,9908669,9932976,9993255,9997181,10395089,10527581,10659472,10792349,10883582,11174598,11196184,11232989,11453009,11694014,11991906,12155729,12233582,12294232,12506321,12595707,12637661,12768929,12772574,12943841,13467809,13729361,13831011,13860029,14117534,14121015,14338529,14381981,14386094,14772689,15062416,15219544,16027229,16199741,16329041,16458269,16716509,16945218,17121987,17436507,17597582,17775832,17842251,18154372,18217169,18601469,18870424,18899921,18985121,19112861,19410641,19495649,19623101,19917591,19997811,20301629,20304555,20322436,20682401,20863732,20893661,21053294,21229227,21240775,21399869,21652541,21658192,21946961,22282961,22408829,22702241,23037089,23243032,24365466,24454481,24703649,25159709,25488930,25573469,25890571,26027681,26148411,26645501,26845982,26933201,27188192,27384509,27606424,27630494,27762267,27874372,27875741,28161761,28371655,28674494,28773341,29455982,29464289,29734495,30233789,30435809,30557812,30586716,30718301,30919841,31057227,31201661,31274414,31282109,31322321,31884449,32004701,32044769,32124881,32484989,32724701,33123581,33234052,33609499,33859934,33959319,34045986,34434209,34513361,34632029,34695015,34790141,35220184,35500061,35539231,35618129,35681394,35943832,36089681,36168161,36439107,36873041,36986530,37008016,37029329,37847741,37964369,38025939,38623901,38778749,39088061,39096436,39151915,39358289,39473981,39551069,39622707,39627652,39897569,40127307,40436811,41022782,41047889,41086109,41219572,41363032,41530094,41620349,41634018,41749636,41772701,41886881,41962961,42000989,42477850,42532541,42570449,42706807,42795854,43048574,43213661,43285255,43553249,43703969,44117789,44155361,44383836,44493149,44605601,44658339,44905121,44941515,45054689,45268975,45316574,45837821,46172369,46266415,46469201,46506269,46533411,46728509,46982298,47024381,47034436,47504081,47847064,47937616,48013570,48072734,48496061,48935069,48970495,49154141,49445789,49664189,49773281,50174155,50317661,50363032,50534909,50679581,50770330,50860241,50973420,51076455,51276379,51329021,51440344,51803054,51832349,51942306,52691549,52837900,53368481,53439569,53827947,53929818,54077921,54184061,54322770,54371648,54431441,54481552,54537341,54607901,54807907,54994371,55065761,55519698,55557329,55697489,55743832,56187041,56431229,56658411,56726414,56818264,57161441,57230801,57616284,57646289,57870387,57944288,58095101,58267361,58370621,58473809,58764594,58923134,58988669,59399261,59582971,60012989,60143314,60208986,60352829,60594079,60658001,60861089,60865982,60924396,61063889,61168104,61291746,61434941,61998711,62040029,62073569,62075582,62558414,62711811,62842781,62849731,62876129,63242429,63405480,63541409,63674081,63920547,63966424,64003454,64236509,64335521,64368509,64566269,64787332,64905747,65059409,65187324,65256087,65256161,65304436,65353515,65419901,65518049,66310867,66462232,66731259,66787421,66884561,67207841,67277859,67594721,67632512,67755581,67787729,68545214,68716541,68782814,68812241,68814117,68907869,68939729,69035261,69310744,69575249,69606941,69710416,69761594,69765281,69957850,69986621,70237699,70239101,70365149,70459601,71087441,71150894,71306429,71331165,71462609,71587409,71962227,72273058,72395489,72673949,72951761,73044221,73251970,73720061,73811921,74361569,74384691,74770011,74878301,74969249,74999549,75525307,75586036,75843854,76055009,76086576,76097092,76802909,77397629,77427281,77516189,77628532,77693789,77748895,77831704,77974587,78138436,78185944,78297010,78424218,79250081,79441975,79577655,79773521,79889489,80248814,80409761,80479214,81013469,81156689,81499601,81587539,81816279,82087982,82210301,82690721,83138584,83196881,83393021,83491864,83532881,83917934,83949420,83979089,84229181,84450941,84644561,84882832,85056974,85118530,85223069,85246852,85277981,85469921,85551452,85597398,85657515,85919020,86097821,86271991,86342369,86369501,86562970,86645582,86856509,87233501,87314081,87324254,87394589,87535299,87560667,87902364,87959187,88222289,88227134,88434641,88593569,88779892,88902782,89173841,89249407,89410109,89546048,89619581,89645729,89705355,89785330,90322769,90348701,90544024,90555869,90710909,91097249,91174301,91178131,91328189,91353809,91368016,91430621,91584029,91940861,92027815,92245469,92436771,92929454,92951741,93298674,93301636,93377489,93527201,93530907,93626849,93709144,93722155,93802612,93825761,93900221,93928347,93956412,94060504,94493309,94729810,94935101,95252561,95330370,95471549,95493186,95544401,95592929,95685712,95769015,95955869,96317009,96413239,96532829,96556769,96628541,96965331,97389629,97767101,98095709,98127211,98189309,98225774,98306129,98469341,98539169,98585681,98794589,98864081,99577949,99659420,99806055,99829409,99897427,99897821,...,331149192076209411364416938140555827971853996728433324002482719761898592773636991525310285344146329494095679955852049294357956726088330523143536446096974927172548367981125847393603872681931198491562723131476402040302410522659682989444913314715508663341998605538074385887335779466017298464405064652626852018595086625767611816363538520286644005209013360860266705482922882822947077132967254170419300374672315614283118796247625656358992881428583409269761962405670669539453707767388944275931284512012642727695300184778318026580312265044700717227835476662501238963195644825223513009076684221804588861979034609557076383809021423184766894804580710794285685138014741710809901690832208170278125770649721493542875860339149348476176519160458129867458362392641120916788117515727214774242602504492811917997462429521357177896501902415434029646299375952044073394418428780613125691477140828656011174154765683666603013698383821171913282626728170845138380679842398602921112429825310878975720829970298472080703950493017521310354536998555910314021783399881273761357769337403430245580519249558140693978533547871964058331164249245342160828925224974410699831081067792850625476035562566609246815564985462702149449572022451853790902288851322906365671309184671456598624468744835808279196519358012082736789029736820847071497431563356617438519701438367987446129090048888433372182359172023413244668275777888777735748267628950505211491029516361649770532074475853000088794188545230767500030636485961161193718549818791029303382835604332313929264111544528883623039443624305768693933266775246817600365927712942909822694423909538146943605876073838237111023857613865321996469925918455000809456212563757605706122923513016018602964318566531414724921228983591960383883627448718266252937453246681440365626638224070289912615689328843559146069265577798430459119664672760745016200252269195418969038507515654472933745396605267908137989631653770227707085923671561740007809328188388075504031859201783201639894057172593324618738855744509252025726372495192813095880719607010512880712870150866315675749322023334018554068497896158782198002339220447623638950113702865018236879084794700550356250000474930704884112083400447222506279017993455453808702615731184450063619864926932940957947892618755205489551444665037354749918627412508565403289863355094954036484411262393250238955887681003752414603863163994079691216124330126193890963903621196715804719732631976426435655636316250065722444559678788344116941536640573651677025290339187267412458334668375297799370381511293083883862093450434542368142038710145210547935831075134581836855762307908761077955843195837228130805690299170346315816329410929033293767799972427971673616728496666594656496817392279720839766830151536904564921291781961765911228418103694827817922010050147250147180686963133754649236978282371717198238348220073402255360754766547576204103306020236383013513036750745660880875572834668919677542544323104120777266920074178559869105747590381690127861301238282740988504466702282488207586289643917707395884086963714768574311731681143660532826506031244802188835411941295188479218664447869691808626628294914973295406539033164403575511920371273685119662493801271071306328436218219566572688121481755886181510418482069552947142640056168033981514943990454698729775166451782514156421472039678724583463278201526029467525238887883224512165542024626026253110135998539588529290277930962768295740658203384780456696859733407558674100326248191694755605178207079907580607305901757289009009746119830261598174746397254899782049792541633886027664990984995134249601637109350453577134051434578091411547909295146425868689466590287850955328555131814137052642756090785104252455613849}
23011  21823803730766911179479535859004403159131397928879400970548764229448871979875: {23011,345045,368048,414054,1494545,1770461,1793454,2529230,3035076,3237501,4506628,4885581,4937045,4985141,5924454,6438040,6590381,6911261,6940821,7121630,7242795,7351221,7725648,8293253,8545956,8622375,8691354,8990661,9197200,9327038,9345941,9399981,9414830,9796661,9873230,10217973,10346850,10757453,11036640,11044241,11297796,11772416,11847876,12101501,12416220,12652613,13074141,13179614,13243968,13317101,13324340,13481301,13524029,13737854,13995230,14840558,14899464,15367790,15553853,15989208,16325373,16511621,16761897,16794276,17541021,17987859,18189041,18350373,18441348,18690254,18828020,18950918,19024430,19158861,19918349,20337653,21176301,21579141,22219790,22593624,22641518,22692965,22829316,23248676,23588030,23789668,24155621,24200894,24294854,25303022,25403045,25417827,26079665,26315621,26396373,26556788,26663748,27072740,27231558,28305636,28444961,28878161,29053790,30483654,30575021,30781454,30817661,30920429,31295598,31400753,31450853,31579941,31615454,32382014,32487288,33985240,34508030,34842965,34864548,34954469,35185358,35321261,36192653,36548199,37016356,37760021,38197265,38233395,40268973,40547249,40715441,40782288,40976198,41306213,41409636,41445741,41542565,41811558,41866181,41922509,41945414,43011741,44025230,44067653,44183973,44929790,44948081,45010301,45279092,45381254,45394648,45836718,45880074,46195118,46260020,46323341,46911621,47575192,47671358,48419261,48585476,48775853,48870545,48870734,49235678,49534565,49715981,49851078,50701252,50789901,51068979,51524465,51703790,51838541,52187045,52830276,53006798,53503076,53522091,53688401,53915748,55331294,55479795,55512024,55871981,55970621,56084549,56629781,56786453,56901029,57204878,58154453,58305854,58644654,58793045,59178448,59441478,59544452,59808830,59922020,60085061,60354773,60646901,60996614,61534173,61829358,61855601,62044548,62295141,62451027,62504741,62624454,62643064,62953790,63716775,63901574,64193781,64300430,64572861,65977781,66047375,66575754,66776981,67783313,67964560,67974861,68101940,68102741,68412701,68903054,69256408,69679790,69902822,70473447,70551654,70718021,71022830,71770596,71906424,72020355,72109101,72248678,72430360,72746261,73046261,73055381,73325828,74026264,74272478,75544548,75977681,76155495,76460130,76821712,77160516,77281109,77451182,77704581,77913459,78352792,78435662,78447029,79226021,79256850,79947014,79958030,80067221,80278648,80894727,80984165,81232528,81423758,81484155,81557472,81630545,81722328,81722621,81818321,81995501,82105553,82302941,82537829,82664948,82985201,83077790,83244038,83279547,83615748,83724998,84540640,85089621,85227396,86424426,86540996,86638430,86916432,86957189,87008116,87138020,87161381,87520853,88146891,88337534,88384701,88439981,88975012,89384414,89664701,89703812,89972261,90214971,90313479,90559781,90857294,91298973,91386594,91752156,91937619,93113373,93152318,93837621,94306949,94482545,94945541,95108220,95121365,95164853,95394941,95581841,95835014,95949636,96005181,96079781,96472253,96988238,97035665,97180998,97289630,97673045,97732430,97780986,97956654,98233838,98796614,99179588,99693348,...,441532256101612548485889250854074437295805328971244432003310293015864790364849322033747047125528439325460906607802732392477275634784440697524715261462633236230064490641501129858138496909241597988750297508635202720403214030212910652593217752954011551122664807384099181183114372621356397952540086203502469358126782167690149088484718027048858673612017814480355607310563843763929436177289672227225733832896420819044158394996834208478657175238111212359682616540894226052604943689851925701241712682683523636927066913037757368773749686726267622970447302216668318617594193100298017345435578962406118482638712812742768511745361897579689193072774281059047580184019655614413202254442944227037501027532961991390501147118865797968235358880610839823277816523521494555717490020969619698990136672657082557329949906028476237195335869887245372861732501269392097859224571707484167588636187771541348232206354244888804018264511761562551043502304227793517840906456531470561483239767081171967627773293731296107605267324023361747139382664741213752029044533175031681810359116537906994107358999410854258638044730495952077774885665660456214438566966632547599774774757057134167301380750088812329087419980616936199266096029935805054536385135097208487561745579561942131499291659781077705595359144016110315718706315761129428663242084475489918026268584490649928172120065184577829576478896031217659557701037185036980997690171934006948654706021815533027376099301137333451725584726974356666707515314614881591624733091721372404510447472443085239018815392705178164052591499074358258577689033662423467154570283923879763592565212717529258141168098450982814698476818487095995293234557940001079274950085010140941497231350688024803952424755375219633228305311455947178511503264957688337249937662241920487502184298760386550154252438458078861425687437064573945492886230347660021600336358927225292051343354205963911660528807023877517319508871693636942781231562082320010412437584517434005375812269044268853192076230124432824985140992679002700968496660257084127840959476014017174283826867821754234332429364445358072091330528211709597336452293930164851933484937153357649172113059600733808333333966574273178816111200596296675038690657940605078270154308245933418159819902577254610597190158340273986068592886716472999891503216678087204386484473459938715312548349857666985274516908005003219471817551992106254954832440168258521285204828262287739626310175968568580874181755000087629926079571717792155922048854098202236033720452249689883277779557833730399160508681724111845149457933912723157522718280193614063914441433512775782474349743878348103941124261116304174407587065560461754421772547905377725023733296570628898155637995555459541995756523039627786355773535382539419895055709282354548304557471593103757229346733529666862907582617511672865649304376495622930984464293431203007147673022063434938804408026981844018017382334327547841167430446225226236723392430805494369689226765571413158807663453842253503815068317710321318005955603043317610115052858556943194512115951619691432415642241524880710435341374993069585113882588393584638958219263826255744835504393219964393875385377552538100682560495031580159549991735028095075104581624292755430250828642341181575347224642759403929523520074890711975353258653939598306366888602376685541895296052904966111284370935368039290033651850510966016220722699501368337480181331386118039053703907950357727654210937846373942262479644543411565467101664255593007473570942773210107476407869009718678679661493107015464232995196339866376066390055511848036886654646660178999468849479133938102845401912770788548730545726861901158252622120383801273771406842418849403523674787713472336607485132}
23012  21902167668861138288806864610882616050733072026132167013117113583978088121859: {322042,436867,460060,552072,621081,781762,1700002,2158522,2391272,2690181,3074362,3348802,3452011,3793845,4046768,4079938,4316668,4552614,4718842,4992418,5217307,5633285,6162811,6358138,6514108,6759942,6812578,6903418,7104787,7175842,7899272,8047550,8444347,8807362,8886681,9078778,9254428,9657060,9801628,9909547,10163002,10300864,10343482,10440187,10614082,10682445,10974658,11394608,11496500,11588472,11987548,12234658,12324538,12533308,12813811,12818934,12863482,13037031,13312162,13623964,13795800,13990557,14118778,14122245,14122411,14208322,14383267,14715520,14809845,15013498,15063728,15520275,15797168,15812827,16263418,16330507,16459747,16554960,16619962,16655425,16887202,16946694,17432188,17599138,17658624,17771814,17954722,17975068,18261547,18624330,18901627,19029427,19539907,19769421,19817338,19865952,19986510,19994362,20303467,20606781,20790178,20992845,21055162,21318944,21584698,21767164,22201027,22260837,22349196,22392368,22452811,22465978,22906018,23051685,23081011,23388028,23457067,23535025,23983812,24311458,24467164,24588464,25012642,25191414,25203427,25275322,25537858,25545148,25575811,25887682,26442187,26935618,27458722,27662022,27720058,28035381,28235068,28242030,28426377,28536645,28677058,28763962,28772188,29060845,29545378,29737085,30124832,30236587,30439088,30721147,31325227,31927507,32047747,32054458,32399482,32658082,32887411,32916538,33195985,33329685,33433018,33840925,33842707,33890436,33962277,34243974,34674811,34873014,35195164,35382045,35551664,35684502,36093067,36210787,36301341,36308744,36434338,36442281,37202938,37740848,37799842,37954533,37970242,38201011,38225722,38821282,38991298,39246202,39593347,39720317,39835182,39995622,40603258,40609110,40644872,40847337,41090011,41364802,41628293,41727464,41787322,41890867,42004987,42106588,42233011,42458454,42481550,42574507,42799738,43028827,43305082,43316384,43580685,43595107,43893922,44159587,44565922,44817658,45404482,45725481,45842227,46074178,46172181,46270445,46486064,46510747,46943397,47065867,47255461,47287411,47423181,47508667,48573021,48730932,48908962,48939811,49407298,50319418,50471681,50977860,51146938,51334027,51762045,51781142,52055362,52296822,52778037,53291002,53691964,53866402,54118627,54330811,54376384,54648547,54769018,54812681,55212848,55260988,55524534,55748744,55751482,56323522,56598865,56743310,57348988,57479011,57546682,57825025,58911964,58928578,59468990,60053011,60358867,60467578,60599357,60731845,60867187,60871618,61115624,61173432,61436602,61464297,61839682,62079811,62114454,62403322,62548828,62564218,62644642,62717337,62882467,62918121,63376565,63768898,64009402,64089538,64249762,64276027,64375027,64772981,64969978,65262787,65449402,65557411,66037845,66247162,66468104,66878845,67218998,67394685,67719868,67794667,67918638,68071881,68091972,68468011,68558693,68755077,68755507,68820111,68868418,68946811,69026722,69264058,69292677,69390030,69423811,69580282,69614107,70243817,70372411,70440368,71000122,71078462,71236258,71362788,71507037,71887664,72061747,72179362,72336322,72878214,72897667,73306101,73746082,73853517,73973060,74016032,74058658,74430565,74776617,74902525,75007411,75189067,75695482,75928738,76051878,76093027,77247802,77435467,77524387,77555685,77557498,78176122,78192872,78303830,78321427,78716578,78947962,79102138,79245414,79255304,79287667,79510197,79795138,80254614,80570149,80873622,82045564,82095778,82172218,82439144,82726064,82996941,83060188,83240698,83268036,83499272,83545402,83569867,83773762,83925922,84001978,84155011,84955700,85065082,85127425,85140898,85413614,85591708,85807317,86097148,86378947,86427322,86570510,86866027,87106498,87189307,87269947,87407938,87431011,87458781,87591787,87832411,87966981,88235578,88310722,88767672,88986298,89162217,89211202,89257181,89316678,89420011,89655667,89713245,89810242,89883030,90046987,90109378,90358747,90537950,90633148,91186073,91364011,91494921,91657285,91675642,92344738,92532830,92744037,92938402,93012538,93066822,93457018,93936681,93964596,94048762,94068872,94430685,95008162,95263387,95482411,95628067,95694128,95852361,95875232,96027140,96145468,96352027,96421637,96450645,96567811,96992122,97068787,97140067,97282411,97778347,97870138,97940990,98130427,98308282,98755261,98891578,99328378,99546562,99863631,...,662298384152418822728833876281111655943707993456866648004965439523797185547273983050620570688292658988191359911704098588715913452176661046287072892193949854345096735962251694787207745363862396983125446262952804080604821045319365978889826629431017326683997211076148771774671558932034596928810129305253704037190173251535223632727077040573288010418026721720533410965845765645894154265934508340838600749344631228566237592495251312717985762857166818539523924811341339078907415534777888551862569024025285455390600369556636053160624530089401434455670953325002477926391289650447026018153368443609177723958069219114152767618042846369533789609161421588571370276029483421619803381664416340556251541299442987085751720678298696952353038320916259734916724785282241833576235031454429548485205008985623835994924859042714355793003804830868059292598751904088146788836857561226251382954281657312022348309531367333206027396767642343826565253456341690276761359684797205842224859650621757951441659940596944161407900986035042620709073997111820628043566799762547522715538674806860491161038499116281387957067095743928116662328498490684321657850449948821399662162135585701250952071125133218493631129970925404298899144044903707581804577702645812731342618369342913197248937489671616558393038716024165473578059473641694142994863126713234877039402876735974892258180097776866744364718344046826489336551555777555471496535257901010422982059032723299541064148951706000177588377090461535000061272971922322387437099637582058606765671208664627858528223089057767246078887248611537387866533550493635200731855425885819645388847819076293887211752147676474222047715227730643992939851836910001618912425127515211412245847026032037205928637133062829449842457967183920767767254897436532505874906493362880731253276448140579825231378657687118292138531155596860918239329345521490032400504538390837938077015031308945867490793210535816275979263307540455414171847343123480015618656376776151008063718403566403279788114345186649237477711489018504051452744990385626191761439214021025761425740301732631351498644046668037108136995792317564396004678440895247277900227405730036473758169589401100712500000949861409768224166800894445012558035986910907617405231462368900127239729853865881915895785237510410979102889330074709499837254825017130806579726710189908072968822524786500477911775362007504829207726327988159382432248660252387781927807242393431609439465263952852871311272632500131444889119357576688233883073281147303354050580678374534824916669336750595598740763022586167767724186900869084736284077420290421095871662150269163673711524615817522155911686391674456261611380598340692631632658821858066587535599944855943347233456993333189312993634784559441679533660303073809129842583563923531822456836207389655635844020100294500294361373926267509298473956564743434396476696440146804510721509533095152408206612040472766027026073501491321761751145669337839355085088646208241554533840148357119738211495180763380255722602476565481977008933404564976415172579287835414791768173927429537148623463362287321065653012062489604377670823882590376958437328895739383617253256589829946590813078066328807151023840742547370239324987602542142612656872436439133145376242963511772363020836964139105894285280112336067963029887980909397459550332903565028312842944079357449166926556403052058935050477775766449024331084049252052506220271997079177058580555861925536591481316406769560913393719466815117348200652496383389511210356414159815161214611803514578018019492239660523196349492794509799564099585083267772055329981969990268499203274218700907154268102869156182823095818590292851737378933180575701910657110263628274105285512181570208504911227698}
23013  21980811138452579586564627890396011372177988818465389429723046101592605633120: {46022,483063,575075,690090,736096,828108,1172643,2092363,2550003,2989090,3237783,3540922,3586908,4611543,5023203,5058460,5395835,6070152,6119907,6475002,6828921,6911863,7078263,7328387,7488627,8142635,8982443,9013256,9537207,9771162,9874090,9970282,10139913,10218867,10355127,10355411,10763763,11045203,11568035,11848908,12071325,12252035,12876080,13180762,13211043,13525207,13618167,13822522,13881642,14243260,14370625,14485590,14702442,14890007,14984435,15244503,15314987,15451296,15515223,15666635,15921123,16461987,16586506,17029955,17091912,17244750,17382708,17981322,18351987,18394400,18486807,18654076,18691882,18799962,18829660,19228401,19295223,19593322,19746460,19968243,20435946,20671643,20693700,21178167,21312483,21514906,21790235,22073280,22088482,22468835,22520247,22595592,23005811,23539867,23544832,23695752,24203002,24395127,24801383,24832440,24929943,25305226,25330803,25420041,25443011,26148282,26359228,26398707,26487936,26634202,26648680,26657721,26932083,26962602,27048058,27208955,27279227,27475708,27936495,27960203,27990460,29235035,29681116,29726007,29798928,29979765,29991543,30583955,30735580,31107706,31185267,31263131,31582743,31770151,31791427,31931435,31978416,32377047,32650746,32957111,33023242,33523794,33588552,33698967,34359027,34658291,35082042,35293835,35564263,35965235,35975718,36378082,36467187,36511531,36700746,36882696,37380508,37456067,37518963,37656040,37787121,37901836,37912983,38048860,38306787,38317722,38831523,39836698,40403427,40675306,41188083,41309827,41493033,41580087,42352602,42363045,43015587,43145943,43158282,43343611,43729463,43993955,44318067,44439580,45187248,45283036,45385930,45658632,46497352,46878347,47176060,47579336,47925911,48081687,48311242,48401788,48589708,48599223,48780151,48987123,49374807,50149527,50606044,50806090,50835654,51365961,52159330,52309521,52631242,52633235,52792746,53113576,53238611,53327496,53476171,53526753,54145480,54463116,54651507,55122707,55804407,56611272,56699763,56889922,56955363,57222763,57338583,57756322,58107580,58159591,58231923,58356947,58486947,58869303,59457323,59752773,59993433,60904887,60913665,60967308,61150042,61562908,61635322,61840858,62047203,62591196,62680983,62801506,62815511,62901706,63159882,63230908,63521111,63687681,63722325,64199607,64345763,64764028,64957623,64974576,65783927,65840883,66030523,66664811,66848883,67114955,67226487,67970480,68106723,68418763,68874167,69016060,69076235,69111267,69348391,69432131,69685930,69729096,69908938,70230611,70370716,70642522,70987331,71611427,71686235,72009803,72134251,72385306,73061863,73096398,73191107,73363443,73639955,74032712,74110947,74948267,75479127,75520042,76394530,76466790,76720407,77625911,77671713,78083043,78186035,78445233,79936503,80537946,80799603,81094498,81430882,81564576,81952396,82153527,82310263,82612426,82819272,82891482,83085130,83286801,83575843,83623116,83627223,83732362,83845018,83890828,84485283,84649835,85114965,86023482,86320023,86818547,87865571,88050460,88135306,88367946,88392867,89203485,89417207,89859580,89896162,90020602,90558184,90701367,90762508,90788843,90789296,91307427,91337047,91673436,91760148,92154903,92390236,92466325,92520040,92646682,92759523,93171681,93604983,93823242,93846327,93912887,93966963,94708811,95150384,95293847,95342716,95653347,95694491,96014103,96134307,96374643,96761027,96838522,97170952,97454967,97544707,97551706,97741090,97741468,98174103,98471356,99069130,99346691,99370743,99431962,99702156,...,993447576228628234093250814421667483915561990185299972007448159285695778320910974575930856032438988482287039867556147883073870178264991569430609338290924781517645103943377542180811618045793595474688169394429206120907231567979048968334739944146525990025995816614223157662007338398051895393215193957880556055785259877302835449090615560859932015627040082580800116448768648468841231398901762511257901124016946842849356388742876969076978644285750227809285887217012008618361123302166832827793853536037928183085900554334954079740936795134102151683506429987503716889586934475670539027230052665413766585937103828671229151427064269554300684413742132382857055414044225132429705072496624510834377311949164480628627581017448045428529557481374389602375087177923362750364352547181644322727807513478435753992387288564071533689505707246302088938898127856132220183255286341839377074431422485968033522464297050999809041095151463515739847880184512535415142039527195808763337289475932636927162489910895416242111851479052563931063610995667730942065350199643821284073308012210290736741557748674422081935600643615892174993492747736026482486775674923232099493243203378551876428106687699827740446694956388106448348716067355561372706866553968719097013927554014369795873406234507424837589558074036248210367089210462541214492294690069852315559104315103962338387270146665300116547077516070239734004827333666333207244802886851515634473088549084949311596223427559000266382565635692302500091909457883483581155649456373087910148506812996941787792334633586650869118330872917306081799800325740452801097783138828729468083271728614440830817628221514711333071572841595965989409777755365002428368637691272817118368770539048055808892955699594244174763686950775881151650882346154798758812359740044321096879914672210869737847067986530677438207796733395291377358994018282235048600756807586256907115522546963418801236189815803724413968894961310683121257771014685220023427984565164226512095577605349604919682171517779973856216567233527756077179117485578439287642158821031538642138610452598947027247966070002055662205493688476346594007017661342870916850341108595054710637254384101651068750001424792114652336250201341667518837053980366361426107847193553350190859594780798822873843677856265616468654333995112064249755882237525696209869590065284862109453233787179750716867663043011257243811589491982239073648372990378581672891710863590147414159197895929279306966908948750197167333679036365032350824609921720955031075871017561802237375004005125893398111144533879251651586280351303627104426116130435631643807493225403745510567286923726283233867529587511684392417070897511038947448988232787099881303399917283915020850185489999783969490452176839162519300490454610713694763875345885297733685254311084483453766030150441750441542060889401263947710934847115151594715044660220206766082264299642728612309918060709149040539110252236982642626718504006759032627632969312362331800760222535679607317242771145070383583903714848222965513400106847464622758868931753122187652260891144305722935195043430981598479518093734406566506235823885565437655993343609075425879884884744919886219617099493210726535761113821055358987481403813213918985308654658699718064364445267658544531255446208658841427920168504101944544831971364096189325499355347542469264416119036173750389834604578088402575716663649673536496626073878078759330407995618765587870833792888304887221974610154341370090579200222676022300978744575084266815534621239722741821917705271867027029238359490784794524239191764699346149377624901658082994972954985402748804911328051360731402154303734274234643727885439277606068399770863552865985665395442411157928268272355312757366841547}
23014  22059735130079631803612874381262050448844555455383927298306448995189929129925: {69033,253033,644084,873734,920120,941893,1035135,1104144,1216933,1242162,1563524,1628953,2451049,2587813,3134149,3400004,4317044,4483635,4494949,4782544,5172649,5311383,5380362,5983513,6148724,6323075,6657253,6697604,6904022,7194949,7587690,7886599,8093536,8159876,8633336,9067813,9105228,9437684,9712503,9984836,9998953,10434614,11266570,11323033,12325622,12716276,13028216,13519884,13625156,13806836,13818949,14209574,14351684,14471449,14656743,14811135,14955423,15798544,16095100,16547353,16888694,17614724,17773362,17804075,18157556,18220453,18508856,18988549,19314120,19499173,19603256,19771143,19819094,20326004,20601728,20686964,20733783,20770693,20822463,20880374,20897449,21228164,21364890,21530149,21656473,21728385,21949316,22053663,22789216,22993000,23176944,23317595,23537075,23975096,24167833,24469316,24649076,24683075,24879759,25066616,25164313,25412713,25627622,25637868,25726964,25867125,26032453,26074062,26624324,26971983,27247928,27591600,27758149,27981114,28037823,28199943,28237556,28244490,28244822,28248613,28416644,28766534,29389983,29431040,29591449,29619690,30026996,30127456,30653919,30804649,31040550,31287913,31594336,31625654,32130853,32272359,32491033,32526836,32661014,32730793,32919494,32949035,33109920,33132723,33239924,33310850,33774404,33893388,34344635,34401049,34519813,34864376,34988075,34994149,35198276,35317248,35543628,35585449,35909444,35950136,36174949,36304503,36523094,37101395,37248660,37803254,37932649,37957839,38058854,38419475,38631193,39079814,39222423,39538842,39558553,39634676,39731904,39951303,39973020,39988724,40251049,40366213,40443903,40572087,40606934,40685183,41213562,41580356,41631919,41970949,41985690,42085033,42110324,42637888,43169396,43534328,44126233,44402054,44521674,44689093,44698392,44784736,44905622,44931956,45812036,45921049,46103370,46162022,46474379,46589353,46661559,46725635,46776056,46914134,47033449,47070050,47377295,47561075,47586949,47967624,48248773,48578713,48622916,48934328,48976119,49176928,49534863,50025284,50285691,50382828,50406854,50550644,51075716,51090296,51151622,51775364,51842473,52623063,52814927,52884374,53450053,53871236,53963577,54088549,54567123,54618649,54917444,55051119,55324044,55440116,55549475,55778533,55847363,56070762,56470136,56484060,56603795,56852754,57073290,57242149,57354116,57476583,57527924,57544376,58121690,58278949,58970075,59090756,59411113,59474170,59755047,60249664,60432793,60473174,60502235,60737135,60737893,60878176,61012959,61442294,62650454,63257555,63528903,63753253,63855014,64095494,64108916,64249513,64737423,64778623,64798964,65316164,65774822,65833076,66391970,66659370,66866036,67672933,67681850,67685414,67780872,67924554,68078895,68487948,69208549,69349622,69589573,69746028,69779653,70253593,70390328,70764090,71103328,71369004,72186134,72421574,72466863,72602682,72617488,72634475,72868676,72884562,73059433,73520773,73796713,74405876,75481696,75599684,75909066,75940484,76071013,76209135,76251013,76253481,76402022,76451444,76953635,77642564,77982596,78238995,78492404,78946863,79038635,79179433,79186694,79189119,79238411,79266949,79440634,79616293,79670364,79991244,80051353,80224873,80577167,80955035,81206516,81218220,81289744,81694674,81858949,82180022,82199653,82729604,83214853,83256586,83454928,83574644,83781734,84009974,84213176,84466022,84916908,84963100,85024583,85149014,85296553,85334883,85599476,85707493,86057654,86116633,86126711,86270075,86610164,86632768,86634483,87161370,87190214,87787844,87963395,88319174,88374553,88727191,89131844,89246149,89635316,89639449,89717893,90808964,91450962,91684454,91725063,92148356,92344362,92452983,92540890,92761287,92972128,93021494,93022873,93630383,93886794,94131734,94202259,94292773,94352559,94510922,94574822,94739823,94846362,94956649,95017334,95219267,95322949,95614693,96698473,97146042,97461864,97817924,97879622,98608453,98763863,98814596,99646873,99921049,...,1324596768304837645457667752562223311887415986913733296009930879047594371094547966101241141376585317976382719823408197177431826904353322092574145784387899708690193471924503389574415490727724793966250892525905608161209642090638731957779653258862034653367994422152297543549343117864069193857620258610507408074380346503070447265454154081146576020836053443441066821931691531291788308531869016681677201498689262457132475184990502625435971525714333637079047849622682678157814831069555777103725138048050570910781200739113272106321249060178802868911341906650004955852782579300894052036306736887218355447916138438228305535236085692739067579218322843177142740552058966843239606763328832681112503082598885974171503441356597393904706076641832519469833449570564483667152470062908859096970410017971247671989849718085428711586007609661736118585197503808176293577673715122452502765908563314624044696619062734666412054793535284687653130506912683380553522719369594411684449719301243515902883319881193888322815801972070085241418147994223641256087133599525095045431077349613720982322076998232562775914134191487856233324656996981368643315700899897642799324324271171402501904142250266436987262259941850808597798288089807415163609155405291625462685236738685826394497874979343233116786077432048330947156118947283388285989726253426469754078805753471949784516360195553733488729436688093652978673103111555110942993070515802020845964118065446599082128297903412000355176754180923070000122545943844644774874199275164117213531342417329255717056446178115534492157774497223074775733067100987270401463710851771639290777695638152587774423504295352948444095430455461287985879703673820003237824850255030422824491694052064074411857274266125658899684915934367841535534509794873065011749812986725761462506552896281159650462757315374236584277062311193721836478658691042980064801009076781675876154030062617891734981586421071632551958526615080910828343694686246960031237312753552302016127436807132806559576228690373298474955422978037008102905489980771252383522878428042051522851480603465262702997288093336074216273991584635128792009356881790494555800454811460072947516339178802201425000001899722819536448333601788890025116071973821815234810462924737800254479459707731763831791570475020821958205778660149418999674509650034261613159453420379816145937645049573000955823550724015009658415452655976318764864497320504775563855614484786863218878930527905705742622545265000262889778238715153376467766146562294606708101161356749069649833338673501191197481526045172335535448373801738169472568154840580842191743324300538327347423049231635044311823372783348912523222761196681385263265317643716133175071199889711886694466913986666378625987269569118883359067320606147618259685167127847063644913672414779311271688040200589000588722747852535018596947913129486868792953392880293609021443019066190304816413224080945532054052147002982643523502291338675678710170177292416483109067680296714239476422990361526760511445204953130963954017866809129952830345158575670829583536347854859074297246926724574642131306024124979208755341647765180753916874657791478767234506513179659893181626156132657614302047681485094740478649975205084285225313744872878266290752485927023544726041673928278211788570560224672135926059775961818794919100665807130056625685888158714898333853112806104117870100955551532898048662168098504105012440543994158354117161111723851073182962632813539121826787438933630234696401304992766779022420712828319630322429223607029156036038984479321046392698985589019599128199170166535544110659963939980536998406548437401814308536205738312365646191637180585703474757866361151403821314220527256548210571024363140417009822455396}
23015  22138940637767559002744799059342385565215430656646502690343070499253013517928: {92044,805105,966126,1150150,1310601,1380180,1472192,1656216,1863243,1954405,2345286,2782153,4184726,4250005,5100006,5396305,5978180,6475566,7081844,7173816,7554169,7685905,7833793,8070543,8372005,8660821,9223086,10039201,10046406,10116920,10199845,10356033,10356313,10791670,10860553,11381535,11399689,11797105,12140304,12238213,12239814,12481045,12950004,13657842,13823726,14156526,14442469,14656774,14977254,15316321,15394753,15651921,15895345,16195249,16285270,16371193,16899855,16904569,17031445,17152849,17258545,17597281,17939605,17964886,18026512,18488433,19074414,19542324,19748180,19940564,20118875,20279826,20437734,20710254,20710822,20926873,20978209,21314361,21527526,21933289,22018405,22090406,22696945,23103601,23136070,23697816,23785669,23841937,24142650,24441769,24504070,25333041,25407505,25712377,25752160,25858705,25946833,26361524,26422086,26535205,26660043,27050414,27236334,27436645,27645044,27763284,28486520,28609921,28741250,28971180,29160553,29404884,29728641,29780014,29968870,30069013,30489006,30506329,30586645,30629974,30811345,30902592,31030446,31320561,31333270,31456369,31842246,31959169,32047335,32158705,32923974,33173012,33280405,33419209,34059910,34183824,34489500,34765416,34795429,35296945,35520805,35962644,36703974,36788800,36973614,37308152,37383764,37429993,37533745,37599924,37659320,37763749,37958833,38092537,38441433,38456802,38590446,38735737,38949313,39111093,39186644,39492920,39936486,40658545,40871892,40929049,41343286,41387400,41549905,41971671,42218005,42356334,42366735,42367233,42624966,42817537,43029812,43149801,43580470,43997845,44146560,44176964,44266261,44429535,44704009,44886805,44937670,45040494,45191184,46011622,46560825,47079734,47089664,47391504,47438481,48406004,48427753,48790254,48991521,49378489,49379241,49411369,49422769,49543345,49602766,49664880,49807333,49859886,49966275,49985905,50351329,50610452,50632489,50661606,50840082,50886022,51975445,52296564,52479937,52637905,52718456,52797414,52975872,53243269,53268404,53297360,53315442,53864166,53925204,53961745,54015817,54096116,54417910,54558454,54784641,54951416,55872990,55920406,55980920,56164945,56639713,56704881,56874169,57088281,57265045,58470070,58619721,58924273,59308263,59362232,59452014,59501977,59597856,59959530,59983086,60176689,60778645,60910401,61167910,61471160,61591537,61820343,62215412,62370534,62526262,62531605,62925529,62978535,63165486,63188305,63540302,63582854,63844645,63862870,63956832,64719205,64754094,65301492,65674369,65789713,65914222,66046484,66603081,66782511,67047588,67177104,67339045,67358433,67397934,68542693,68646805,68718054,68880193,68967301,69155055,69243033,69249169,69300145,69316582,69916753,70164084,70207909,70371201,70587670,70605075,70730473,71128526,71692645,71909905,71930470,71951436,72115249,72314197,72756164,72934374,73023062,73061041,73401492,73686529,73765392,73863445,74038933,74054329,74236513,74761016,74912134,75037926,75312080,75574242,75610281,75803672,75825966,75883009,76097720,76613574,76635444,76647769,76727433,77600617,77663046,77744641,78125113,79326561,79673396,80117113,80136145,80806854,80998705,81350612,81645205,81736969,82291345,82376166,82619654,82986066,82999813,83160174,83582545,84106143,84189697,84705204,84726090,85279131,85491349,85609935,86031174,86291886,86316564,86498581,86687222,87182535,87458926,87953833,87987910,88636134,88639717,88879160,89211255,90374496,90546289,90566072,90709761,90771860,90981829,91085845,91317264,91385569,91739713,92163441,92806033,92994704,93007345,93756694,93960937,93975681,94352120,94499605,94925605,94962193,95158672,95302273,95564305,95782521,95851822,96143241,96163374,96584233,96622484,96706729,96803576,97053205,97179416,97198446,97478245,97560302,97974246,98115505,98202697,98662233,98749614,99328753,99355429,99587955,99989055,...,1986895152457256468186501628843334967831123980370599944014896318571391556641821949151861712064877976964574079735112295766147740356529983138861218676581849563035290207886755084361623236091587190949376338788858412241814463135958097936669479888293051980051991633228446315324014676796103790786430387915761112111570519754605670898181231121719864031254080165161600232897537296937682462797803525022515802248033893685698712777485753938153957288571500455618571774434024017236722246604333665655587707072075856366171801108669908159481873590268204303367012859975007433779173868951341078054460105330827533171874207657342458302854128539108601368827484264765714110828088450264859410144993249021668754623898328961257255162034896090857059114962748779204750174355846725500728705094363288645455615026956871507984774577128143067379011414492604177877796255712264440366510572683678754148862844971936067044928594101999618082190302927031479695760369025070830284079054391617526674578951865273854324979821790832484223702958105127862127221991335461884130700399287642568146616024420581473483115497348844163871201287231784349986985495472052964973551349846464198986486406757103752856213375399655480893389912776212896697432134711122745413733107937438194027855108028739591746812469014849675179116148072496420734178420925082428984589380139704631118208630207924676774540293330600233094155032140479468009654667332666414489605773703031268946177098169898623192446855118000532765131271384605000183818915766967162311298912746175820297013625993883575584669267173301738236661745834612163599600651480905602195566277657458936166543457228881661635256443029422666143145683191931978819555510730004856737275382545634236737541078096111617785911399188488349527373901551762303301764692309597517624719480088642193759829344421739475694135973061354876415593466790582754717988036564470097201513615172513814231045093926837602472379631607448827937789922621366242515542029370440046855969130328453024191155210699209839364343035559947712433134467055512154358234971156878575284317642063077284277220905197894054495932140004111324410987376952693188014035322685741833700682217190109421274508768203302137500002849584229304672500402683335037674107960732722852215694387106700381719189561597645747687355712531232937308667990224128499511764475051392419739180130569724218906467574359501433735326086022514487623178983964478147296745980757163345783421727180294828318395791858558613933817897500394334667358072730064701649219843441910062151742035123604474750008010251786796222289067758503303172560702607254208852232260871263287614986450807491021134573847452566467735059175023368784834141795022077894897976465574199762606799834567830041700370979999567938980904353678325038600980909221427389527750691770595467370508622168966907532060300883500883084121778802527895421869694230303189430089320440413532164528599285457224619836121418298081078220504473965285253437008013518065255265938624724663601520445071359214634485542290140767167807429696445931026800213694929245517737863506244375304521782288611445870390086861963196959036187468813133012471647771130875311986687218150851759769769489839772439234198986421453071522227642110717974962807626427837970617309317399436128728890535317089062510892417317682855840337008203889089663942728192378650998710695084938528832238072347500779669209156176805151433327299347072993252147756157518660815991237531175741667585776609774443949220308682740181158400445352044601957489150168533631069242479445483643835410543734054058476718981569589048478383529398692298755249803316165989945909970805497609822656102721462804308607468548469287455770878555212136799541727105731971330790884822315856536544710625514733683094}
23016  22218428659040685861837771050041747829802779709865254385771976549034014469578: {115055,138066,299039,506066,528839,987839,1217039,1288168,1449189,1674839,1725225,1747468,1812023,1840240,1883786,2070270,2208288,2433866,2484324,2496863,3127048,3179903,3257906,3517929,3588863,3725039,4540583,4902098,5175626,5218223,5308439,5443703,6268298,6277089,6298703,6800008,6971663,7195583,7472725,7642823,7650009,7866143,8445839,8579423,8634088,8852305,8967270,8979743,8989898,9565088,9713349,9999839,10132583,10345298,10530383,10622766,10760724,11967026,12290543,12297448,12641039,12646150,12772343,13314506,13395208,13602263,13808044,13834629,13863743,14389898,14472743,15036839,15069609,15175380,15773198,15815663,16187072,16187505,16319752,16333439,16462703,16548839,16850063,17107943,17266672,17494223,18135626,18210456,18264839,18350303,18359721,18875368,18990263,19032863,19118039,19425006,19543439,19628423,19969672,19997906,20052863,20486763,20688023,20735589,20869228,21026039,21234789,21532103,21985161,22289039,22414943,22465881,22533140,22646066,22834103,23836823,24427905,24585839,24651244,24685225,24925705,25208039,25432552,26056432,26447039,26529383,26776223,26947329,27039768,27186983,27250312,27392063,27613672,27637898,27760703,27801623,28006103,28292039,28419148,28611621,28703368,28942898,29313486,29594183,29622270,29910846,30242183,30419739,30656601,30807503,30847823,31049303,31065381,31066233,31210343,31331039,31451663,31597088,32013623,32133839,32190200,32253983,32291289,32644633,32733839,32951905,33094706,33135609,33252383,33777388,33928439,34206143,34443863,34556305,34641743,34704105,34997423,35229448,35546724,35608150,35628143,36099839,36178343,36213975,36217583,36315112,36440906,36756105,36883439,37017712,37156943,37975103,37977098,38628240,38634839,38998346,39099143,39206512,39485183,39542286,39600839,39633129,39638188,39677903,40575621,40652008,40854501,41059583,41203456,41373928,41466265,41467566,41541386,41644926,41760748,41794898,41898839,41974943,42012983,42089039,42456328,42729780,43037039,43060298,43111875,43312946,43339343,43456770,43678823,43898632,44107326,44168039,44468423,44618423,44670021,44730839,44953305,45578432,45733509,45925463,45944961,45986000,46128649,46353888,46545669,46593839,46635190,46729705,46999905,47037983,47074150,47074943,47148839,47591543,47763369,47812463,47950192,48082489,48335666,48938632,48983305,49058903,49277903,49298152,49366150,49385961,49759518,49787783,49896839,50133232,50328626,50694383,50802839,50825426,51089865,51255244,51275736,51453928,51734250,51941953,51991103,52064906,52148124,53241863,53248648,53384183,53787265,53916743,53943966,54093863,54129263,54200039,54495856,54553439,54659303,54729839,55055961,55183200,55187543,55221205,55363223,55460421,55516298,55962228,56028983,56075646,56399886,56475112,56488980,56489644,56497226,56552543,56833288,57178439,57351839,57533068,57685203,57885669,58112423,58388039,58491263,58779966,58800503,58862080,59182898,59239380,59246039,59519543,59904729,60053992,60254912,60370943,60438839,60507505,60676223,61183583,61307838,61386023,61554503,61609298,62014929,62081100,62417641,62575826,62795039,63188672,63251308,63263065,63461039,63534501,63937449,64261706,64289039,64355063,64544718,64982066,65046383,65053672,65177663,65322028,65370705,65374343,65415889,65461586,65538023,65838988,65898070,66001429,66219840,66265446,66328213,66479848,66585505,66621700,66807863,66905039,67228439,67406505,67548808,67560741,67615463,67620145,67712039,67786776,68689270,68737703,68802098,68833439,68929103,69017433,69039626,69056543,69247463,69628439,69728752,69786839,69976150,69988298,70103039,70396552,70481423,70575839,70619601,70634496,71087256,71170898,71422343,71818888,71890103,71900272,72349898,72510983,72609006,72696623,72974543,73046188,73067039,73185381,73528439,73835039,74201903,74202790,74404149,74497320,74789829,74992823,75204839,75265343,75606508,75865298,75915678,75992409,76109039,76117708,76169063,76260123,76329033,76838950,76916663,77262386,77540783,77769265,78159628,78396863,78444846,78690503,79077684,79117106,79196121,79245313,79269352,79304543,79450223,79463808,79653839,79886063,79902606,79946040,79973163,79977448,80088839,80435543,80502098,80732426,80796249,80887806,81010823,81144174,81213868,81370366,81626865,81837681,82236839,82427124,82558105,82802039,83160712,83223839,83263838,83504039,83643839,83809485,83880609,83941898,83971380,84170066,84220648,84478439,84703129,84755039,85031989,85223423,85275776,85388183,85580039,86126039,86134213,86338792,86479223,86885063,87068656,87208439,87262223,87342839,87423383,87664583,87705105,88252466,88560577,88622903,88804108,89019143,89043348,89178021,89378186,89396784,89518463,89569472,89649383,89675543,89727839,89811244,89863912,89939295,89974629,90119039,90586103,90844463,90945205,91076303,91204823,91461263,91538039,91624072,91751865,91842098,92048039,92206740,92324044,92377823,92504303,92756663,92948758,92983103,93058439,93178706,93323118,93451270,93552112,93555801,93633623,93789393,93828268,93932039,94006463,94066898,94140100,94303439,94476143,94748229,94754590,95040839,95122150,95173898,95211863,95227561,95310453,95333783,95358143,95374281,95577023,95649839,95794305,95935248,96061103,96422063,96497546,96565943,96661703,97131141,97157426,97209839,97245832,97800839,97868656,97952238,97988903,98199863,98353856,98503439,98573303,98871333,98898383,99069726,99591745,99932663,...,2980342728685884702279752443265002451746685970555899916022344477857087334962732923727792568097316965446861119602668443649221610534794974708291828014872774344552935311830132626542434854137380786424064508183287618362721694703937146905004219832439577970077987449842669472986022015194155686179645581873641668167355779631908506347271846682579796046881120247742400349346305945406523694196705287533773703372050840528548069166228630907230935932857250683427857661651036025855083369906500498483381560608113784549257701663004862239222810385402306455050519289962511150668760803427011617081690157996241299757811311486013687454281192808662902053241226397148571166242132675397289115217489873532503131935847493441885882743052344136285588672444123168807125261533770088251093057641544932968183422540435307261977161865692214601068517121738906266816694383568396660549765859025518131223294267457904100567392891152999427123285454390547219543640553537606245426118581587426290011868427797910781487469732686248726335554437157691793190832987003192826196050598931463852219924036630872210224673246023266245806801930847676524980478243208079447460327024769696298479729610135655629284320063099483221340084869164319345046148202066684118120599661906157291041782662043109387620218703522274512768674222108744631101267631387623643476884070209556946677312945311887015161810439995900349641232548210719202014482000998999621734408660554546903419265647254847934788670282677000799147696907076907500275728373650450743466948369119263730445520438990825363377003900759952607354992618751918245399400977221358403293349416486188404249815185843322492452884664544133999214718524787897968229333266095007285105913073818451355106311617144167426678867098782732524291060852327643454952647038464396276437079220132963290639744016632609213541203959592032314623390200185874132076982054846705145802270422758770721346567640890256403708569447411173241906684883932049363773313044055660070283953695492679536286732816048814759046514553339921568649701700583268231537352456735317862926476463094615926415831357796841081743898210006166986616481065429039782021052984028612750551023325785164131911763152304953206250004274376343957008750604025002556511161941099084278323541580660050572578784342396468621531033568796849405963001985336192749267646712577088629608770195854586328359701361539252150602989129033771731434768475946717220945118971135745018675132590770442242477593687787837920900726846250591502001037109095097052473829765162865093227613052685406712125012015377680194333433601637754954758841053910881313278348391306894931422479676211236531701860771178849701602588762535053177251212692533116842346964698361299643910199751851745062550556469999351908471356530517487557901471363832141084291626037655893201055762933253450361298090451325251324626182668203791843132804541345454784145133980660620298246792898928185836929754182127447121617330756710947927880155512020277097882898907937086995402280667607038821951728313435211150751711144544668896540200320542393868276606795259366562956782673432917168805585130292944795438554281203219699518707471656696312967980030827226277639654654234759658658851298479632179607283341463166076962444211439641756955925963976099154193093335802975633593766338625976524283760505512305833634495914092288567976498066042627407793248357108521251169503813734265207727149990949020609489878221634236277991223986856296763612501378664914661665923830463024110271737600668028066902936233725252800446603863719168225465753115815601081087715078472354383572717575294098038448132874704974248984918864956208246414733984154082194206462911202822703931183656317832818205199312590658597956996186327233473784804817065938272100524641}
23017  22298200194934633313957104477066351485715563489568145712521702917510663500028: {23017,184088,207099,759099,1127147,1610210,1932252,2184335,2300300,2621202,2736167,2760360,2825679,2944384,3105405,3287999,3312432,3650799,3726486,3908810,4690572,4886859,5564306,5950007,7353147,7554827,7763439,8369452,8500010,9258119,9402447,10200012,10760267,10792610,10861499,11720807,11956360,12239279,12835199,12951132,13450905,13484847,14163688,14279783,14347632,14443727,15108338,15371810,15517947,15667586,15934149,16141086,16141583,16372619,16515947,16744010,17260055,17321642,17473463,17950539,18193799,18446172,18969225,19971759,19978127,20078402,20092812,20233840,20399690,20712066,20712626,21583340,21584847,21721106,22253483,22763070,22799378,23594210,23659797,23844023,24161963,24280608,24476426,24479628,24731759,24962090,25115447,25900008,26086535,26583983,27203439,27315684,27647452,28166425,28313052,28884938,28885727,29137509,29313548,29954508,29996859,30583019,30632642,30664439,30782903,30789506,30814055,30825767,31303842,31408967,31775723,31790690,32390498,32570540,32742386,33799710,33809138,33969099,34062890,34305698,34517090,35194562,35523935,35570507,35879210,35929772,36053024,36202187,36492767,36976866,37149287,37769927,38148828,38411303,38484359,39084648,39496360,39881128,40237750,40559652,40875468,41420508,41421644,41456847,41853746,41956418,42206543,42221735,42628722,42821303,43055052,43135883,43414347,43866578,43970229,44036810,44180812,44433405,44535503,44860439,44866269,45022187,45393890,46207202,46272140,46592567,47395632,47571338,47683874,48285300,48883538,49008140,49415723,49547735,49642059,49729127,49924523,50036543,50666082,50815010,51424754,51504320,51717410,51893666,52200935,52236959,52547243,52723048,52844172,53070410,53320086,53412225,54020543,54100828,54472668,54661359,54873290,55187723,55290088,55526568,55886699,56099243,56921963,56965647,56973040,57219842,57232799,57375263,57482500,57942360,58169867,58321106,58408727,58497519,58809768,59105207,59313429,59457282,59507183,59560028,59937740,60138026,60370619,60978012,61012658,61173290,61259948,61596983,61622690,61805184,61871807,62060892,62201349,62312079,62467389,62641122,62666540,62692347,62841527,62912738,63684492,63918338,64069055,64094670,64317410,64590447,64969419,65185155,65847948,65995067,66160989,66346024,66560810,66838418,66939623,67214927,68119820,68367648,68979000,69360683,69530832,69590858,69952785,69980267,70593890,70611225,70612055,71041610,71886239,71916335,71925288,72503499,72765623,73407948,73577600,73693067,73947228,74049225,74616304,74639277,74767528,74829767,74859986,75067490,75199848,75318640,75492939,75527498,75546443,75917666,76185074,76238139,76654523,76882866,76913604,77180892,77301383,77471474,77601375,77751479,77898626,78097359,78222186,78373288,78467663,78630923,78985840,79064135,79872972,80171063,80915949,81317090,81652535,81743784,81839927,81858098,82298735,82686572,82766603,82774800,83099810,83274447,83277125,83590559,83943342,84033983,84113469,84197063,84436010,84599829,84712668,84733470,84734466,84745839,85090103,85249932,85635074,86059624,86299602,86347607,87160940,87184247,87544247,87995690,88169949,88293120,88353928,88463627,88532522,88774347,88859070,89382503,89408018,89773610,89875340,89995883,90080988,90382368,90583727,90606887,91307735,91353083,91393643,91961757,92023244,92238743,92329679,92413947,93121650,93863739,94159468,94179328,94274663,94508135,94783008,94876962,95147135,95419967,96105527,96392559,96812008,96817077,96855506,97020203,97473099,97580508,97699535,97983042,98192379,98756978,98758482,98822738,98845538,98847105,99067919,99086690,99205532,99329760,99398169,99614666,99719772,99932550,99971810,...,3973790304914512936373003257686669935662247960741199888029792637142783113283643898303723424129755953929148159470224591532295480713059966277722437353163699126070580415773510168723246472183174381898752677577716824483628926271916195873338959776586103960103983266456892630648029353592207581572860775831522224223141039509211341796362462243439728062508160330323200465795074593875364925595607050045031604496067787371397425554971507876307914577143000911237143548868048034473444493208667331311175414144151712732343602217339816318963747180536408606734025719950014867558347737902682156108920210661655066343748415314684916605708257078217202737654968529531428221656176900529718820289986498043337509247796657922514510324069792181714118229925497558409500348711693451001457410188726577290911230053913743015969549154256286134758022828985208355755592511424528880733021145367357508297725689943872134089857188203999236164380605854062959391520738050141660568158108783235053349157903730547708649959643581664968447405916210255724254443982670923768261400798575285136293232048841162946966230994697688327742402574463568699973970990944105929947102699692928397972972813514207505712426750799310961786779825552425793394864269422245490827466215874876388055710216057479183493624938029699350358232296144992841468356841850164857969178760279409262236417260415849353549080586661200466188310064280958936019309334665332828979211547406062537892354196339797246384893710236001065530262542769210000367637831533934324622597825492351640594027251987767151169338534346603476473323491669224327199201302961811204391132555314917872333086914457763323270512886058845332286291366383863957639111021460009713474550765091268473475082156192223235571822798376976699054747803103524606603529384619195035249438960177284387519658688843478951388271946122709752831186933581165509435976073128940194403027230345027628462090187853675204944759263214897655875579845242732485031084058740880093711938260656906048382310421398419678728686071119895424866268934111024308716469942313757150568635284126154568554441810395788108991864280008222648821974753905386376028070645371483667401364434380218842549017536406604275000005699168458609345000805366670075348215921465445704431388774213400763438379123195291495374711425062465874617335980448256999023528950102784839478360261139448437812935148719002867470652172045028975246357967928956294593491961514326691566843454360589656636791583717117227867635795000788669334716145460129403298439686883820124303484070247208949500016020503573592444578135517006606345121405214508417704464521742526575229972901614982042269147694905132935470118350046737569668283590044155789795952931148399525213599669135660083400741959999135877961808707356650077201961818442854779055501383541190934741017244337933815064120601767001766168243557605055790843739388460606378860178640880827064329057198570914449239672242836596162156441008947930570506874016027036130510531877249449327203040890142718429268971084580281534335614859392891862053600427389858491035475727012488750609043564577222891740780173723926393918072374937626266024943295542261750623973374436301703519539538979679544878468397972842906143044455284221435949925615252855675941234618634798872257457781070634178125021784834635365711680674016407778179327885456384757301997421390169877057664476144695001559338418312353610302866654598694145986504295512315037321631982475062351483335171553219548887898440617365480362316800890704089203914978300337067262138484958890967287670821087468108116953437963139178096956767058797384597510499606632331979891819941610995219645312205442925608617214937096938574911541757110424273599083454211463942661581769644631713073089421251029467366188}
23018  22378256250008596690578236659175474320354052528748908531211504513512703635412: {161077,230110,276132,598078,1012132,1057678,1975678,2223337,2415315,2434078,2576336,2875375,2898378,3349678,3450450,3494936,3589177,3624046,3680480,3767572,3931803,4140540,4416576,4812277,4867732,4968648,4993726,5489257,5589729,5863215,6254096,6299257,6359806,6515812,7035858,7177726,7450078,7911481,8312917,8346459,8580181,8980537,9081166,9804196,10351252,10436446,10461815,10616878,10887406,10972597,12393227,12536596,12554178,12597406,12750015,12817237,12948457,13600016,13943326,14391166,14945450,15285646,15300018,15732286,16188915,16205557,16464181,16891678,17158846,17268176,17704610,17934540,17959486,17979796,18394681,19034581,19130176,19426698,19999678,20054677,20265166,20690596,21060766,21245532,21323317,21521448,21828757,22458937,22662507,23057715,23501379,23934052,24211629,24581086,24594896,25116015,25282078,25292300,25544686,25982463,26202217,26629012,26790416,26819797,26979175,27204526,27616088,27669258,27727486,27804181,28049557,28779796,28945486,30073678,30117603,30139218,30350760,30599535,30850681,31068099,31068939,31454581,31546396,31631326,32056681,32374144,32375010,32581659,32639504,32666878,32896597,32925406,33097678,33700126,34144605,34199067,34215886,34533344,34559315,34684537,34803157,34895987,34988446,35391315,36220981,36271252,36420912,36529678,36641935,36700606,36714639,36719442,37043257,37443135,37750736,37980526,38065726,38236078,38793397,38850012,39086878,39256846,39373177,39720181,39939344,39995812,40105726,40713175,40973526,41101717,41376046,41471178,41738456,41788597,42016981,42052078,42359017,42469578,43064206,43327407,43720681,43970322,44510197,44578078,44829886,44912215,44931762,45066280,45071977,45292132,45668206,45948963,46132667,46184259,46955763,47079481,47411797,47673646,47686035,47853877,48378827,48585747,48855810,49063657,49113579,49171678,49302488,49370450,49851410,50416078,50699317,50699565,50713707,50865104,51094335,51458547,51775635,51777055,51996181,52112864,52791843,52894078,53058766,53552446,53818815,53894658,54079536,54134581,54346837,54373966,54452857,54500624,54784126,55226015,55227344,55275796,55403797,55465299,55521406,55603246,55719481,56012206,56584078,56838296,57223242,57406736,57599977,57840175,57885796,58052771,58626972,58634617,59188366,59244540,59559637,59821692,60356625,60484366,60839478,61260175,61313202,61615006,61695646,62098606,62130762,62132466,62420686,62662078,62780619,62903326,62934627,63194176,63699817,63933859,63943083,64027246,64267678,64380400,64394581,64507966,64582578,65085817,65289266,65380981,65421587,65467678,65577397,65799867,65903810,66055215,66189412,66271218,66504766,67554776,67626035,67856878,68090835,68412286,68489077,68576627,68585017,68776681,68887726,68968057,69063637,69112610,69283486,69310803,69408210,69445237,69994846,70394197,70458896,70488697,71093448,71216300,71256286,71357007,71525811,71617081,71853125,72199678,72356686,72427950,72435166,72549481,72630224,72881812,73031167,73325307,73512210,73766303,73766878,74035424,74209657,74313886,74450035,74922175,75030997,75302171,75575317,75950206,75954196,75999123,76222515,76574935,77137131,77256480,77269678,77309687,77548981,77576115,77840499,77996692,78198286,78333175,78413024,78434581,78970366,79084572,79201678,79266258,79276376,79355806,79487797,79605615,79923577,79980129,80875957,81048181,81151242,81304016,81305977,81709002,82119166,82309935,82406912,82747856,82932530,82935132,83082772,83289852,83521496,83589796,83797678,83949886,84025966,84178078,84182377,84265717,84598357,84710507,84912656,85012537,85149775,85260181,85424917,85459560,85829763,86074078,86120596,86223750,86488681,86625892,86678686,86913540,87298681,87357646,87459817,87481659,87797264,88214652,88336078,88568291,88936846,89185923,89236846,89340042,89461678,89528377,89685481,89906610,90207039,90854581,91156864,91467018,91471477,91518987,91759935,91850926,91889922,91972000,92236117,92257298,92388181,92434035,92707776,92993557,93091338,93187678,93219707,93270380,93459410,93669097,93961683,93999810,94075966,94148300,94149886,94297678,94369107,94668203,95183086,95368981,95526738,95587897,95624926,95733481,95877507,95900384,96096181,96142005,96164978,96476115,96600937,96671332,96672757,97173481,97877264,97966610,98023657,98117806,98234581,98555806,98596304,98724217,98732300,98771922,99519036,99575566,99624181,99793678,99841215,...,5960685457371769404559504886530004903493371941111799832044688955714174669925465847455585136194633930893722239205336887298443221069589949416583656029745548689105870623660265253084869708274761572848129016366575236725443389407874293810008439664879155940155974899685338945972044030388311372359291163747283336334711559263817012694543693365159592093762240495484800698692611890813047388393410575067547406744101681057096138332457261814461871865714501366855715323302072051710166739813000996966763121216227569098515403326009724478445620770804612910101038579925022301337521606854023234163380315992482599515622622972027374908562385617325804106482452794297142332484265350794578230434979747065006263871694986883771765486104688272571177344888246337614250523067540176502186115283089865936366845080870614523954323731384429202137034243477812533633388767136793321099531718051036262446588534915808201134785782305998854246570908781094439087281107075212490852237163174852580023736855595821562974939465372497452671108874315383586381665974006385652392101197862927704439848073261744420449346492046532491613603861695353049960956486416158894920654049539392596959459220271311258568640126198966442680169738328638690092296404133368236241199323812314582083565324086218775240437407044549025537348444217489262202535262775247286953768140419113893354625890623774030323620879991800699282465096421438404028964001997999243468817321109093806838531294509695869577340565354001598295393814153815000551456747300901486933896738238527460891040877981650726754007801519905214709985237503836490798801954442716806586698832972376808499630371686644984905769329088267998429437049575795936458666532190014570211826147636902710212623234288334853357734197565465048582121704655286909905294076928792552874158440265926581279488033265218427082407919184064629246780400371748264153964109693410291604540845517541442693135281780512807417138894822346483813369767864098727546626088111320140567907390985359072573465632097629518093029106679843137299403401166536463074704913470635725852952926189231852831662715593682163487796420012333973232962130858079564042105968057225501102046651570328263823526304609906412500008548752687914017501208050005113022323882198168556647083161320101145157568684792937243062067137593698811926003970672385498535293425154177259217540391709172656719402723078504301205978258067543462869536951893434441890237942271490037350265181540884484955187375575675841801453692501183004002074218190194104947659530325730186455226105370813424250024030755360388666867203275509909517682107821762626556696782613789862844959352422473063403721542357699403205177525070106354502425385066233684693929396722599287820399503703490125101112939998703816942713061034975115802942727664282168583252075311786402111525866506900722596180902650502649252365336407583686265609082690909568290267961321240596493585797856371673859508364254894243234661513421895855760311024040554195765797815874173990804561335214077643903456626870422301503422289089337793080400641084787736553213590518733125913565346865834337611170260585889590877108562406439399037414943313392625935960061654452555279309308469519317317702596959264359214566682926332153924888422879283513911851927952198308386186671605951267187532677251953048567521011024611667268991828184577135952996132085254815586496714217042502339007627468530415454299981898041218979756443268472555982447973712593527225002757329829323331847660926048220543475201336056133805872467450505600893207727438336450931506231631202162175430156944708767145435150588196076896265749409948497969837729912416492829467968308164388412925822405645407862367312635665636410398625181317195913992372654466947569609634131876544201049282}
23019  22458597832357666514594027390395824351437715517813384162068908404747213940314: {46034,345165,368176,414198,897117,1265165,1518198,1586517,2254294,2963517,3058069,3220420,3651117,3864504,3885817,4347567,4368670,4600600,4709465,5024517,5175675,5242404,5436069,5472334,5520720,5651358,5888768,6084665,6210810,6575998,6624864,7301598,7452972,7490589,7817620,8144765,9381144,9539709,9773718,10553787,10766589,11128612,11175117,11325689,11870837,11900014,12152717,12255245,12836317,12939065,13621749,14706294,15109654,15526878,15654669,15670745,15925317,16003817,16142989,16331109,16738904,17000020,17913797,18516238,18804894,18831267,18896109,19310201,20400024,20914989,21520534,21585220,21586749,21722998,22418175,22474745,22928469,22950027,23011829,23441614,23598429,23912720,24164077,24478558,25337517,25449677,25670398,25738269,25863245,25902264,26556915,26901810,26939229,26954477,26969694,27967517,28327376,28559566,28695264,28887454,29140047,29917565,29999517,30216676,30397749,30743620,31035894,31125509,31271309,31335172,31591149,31615375,31868298,32282172,32283166,32745238,32965757,33031894,33286265,33488020,34404421,34466597,34520110,34643284,34946926,35254169,35901078,35974745,36387598,36521149,36871629,36892344,37465901,37923117,37938450,38317029,38557097,39321017,39432995,39943518,39956254,40156804,40185624,40467680,40799380,40806789,41424132,41425252,41503887,41591229,43139677,43166680,43169694,43418229,43442212,44506966,45110517,45208827,45339065,45526140,45598756,46890629,47188420,47319594,47446989,47606917,47688046,47938517,48323926,48561216,48562515,48952852,48959256,49000317,49388109,49431437,49463518,49646517,49733509,49924180,49994765,50230894,50550189,50933717,51323829,51732697,51800016,52173070,52482669,53167966,54406878,54631368,54794517,55050909,55079163,55137149,55294904,56332850,56615165,56626104,56970789,57098589,57354117,57769876,57771454,57886649,58275018,58627096,58630317,58885269,59001709,59107481,59110429,59859701,59909016,59993718,60158589,60375901,61166038,61265284,61328878,61460289,61565806,61579012,61628110,61651534,62064069,62206767,62607684,62817934,63078117,63551446,63581380,63704367,64317077,64596309,64780996,65141080,65484772,65955483,66047917,66682277,66867117,67244829,67284701,67397643,67599420,67618276,67807129,67938198,68125780,68502309,68611396,69034180,69094745,69366829,70249157,70389124,71047870,71141014,71510469,71630189,71758420,71859544,72028709,72106048,72357245,72404374,72985534,73081309,73283715,73757517,73953732,74055675,74067317,74298574,74777115,74967929,75539854,75624117,76297656,76420637,76822606,76968718,77646437,78169296,78992720,79123517,79341117,79588149,79718381,79762256,80328669,80475500,80841987,81119304,81560949,81750936,82176189,82736765,82841016,82843288,82913694,83282109,83404869,83633269,83707492,83912836,84018309,84413086,84443470,84876117,85257444,85642606,85834863,86110104,86271766,86828694,86841341,87733156,87940458,88073620,88361624,88782549,88866810,89020375,89071006,89696677,89720878,89732538,90003757,90044374,90188009,90591709,90726549,90787780,90794969,91102265,91259217,91969803,92414404,92422509,92543469,92544280,93147909,93185134,93196143,93198699,93631029,93937589,93993117,94354989,94733657,94791264,94942745,95142676,95367748,96040869,96401517,96506149,96570600,96761949,96786701,96873867,97078517,97495865,97767076,97933899,98016280,98201517,98831446,98855715,98856877,99095470,99284118,99312889,99406827,99458254,99757149,99849046,...,8941028186057654106839257329795007355240057911667699748067033433571262004888198771183377704291950896340583358808005330947664831604384924124875484044618323033658805935490397879627304562412142359272193524549862855088165084111811440715012659497318733910233962349528008418958066045582467058538936745620925004502067338895725519041815540047739388140643360743227201048038917836219571082590115862601321110116152521585644207498685892721692807798571752050283572984953108077565250109719501495450144681824341353647773104989014586717668431156206919365151557869887533452006282410281034851245070473988723899273433934458041062362843578425988706159723679191445713498726398026191867345652469620597509395807542480325657648229157032408856766017332369506421375784601310264753279172924634798904550267621305921785931485597076643803205551365216718800450083150705189981649297577076554393669882802373712301702178673458998281369856363171641658630921660612818736278355744762278870035605283393732344462409198058746179006663311473075379572498961009578478588151796794391556659772109892616630674019738069798737420405792543029574941434729624238342380981074309088895439188830406966887852960189298449664020254607492958035138444606200052354361798985718471873125347986129328162860656110566823538306022666326233893303802894162870930430652210628670840031938835935661045485431319987701048923697644632157606043446002996998865203225981663640710257796941764543804366010848031002397443090721230722500827185120951352230400845107357791191336561316972476090131011702279857822064977856255754736198202931664075209880048249458565212749445557529967477358653993632401997644155574363693904687999798285021855317739221455354065318934851432502280036601296348197572873182556982930364857941115393188829311237660398889871919232049897827640623611878776096943870170600557622396230946164540115437406811268276312164039702922670769211125708342233519725720054651796148091319939132166980210851861086478038608860198448146444277139543660019764705949105101749804694612057370205953588779429389283847779247494073390523245231694630018500959849443196287119346063158952085838251653069977355492395735289456914859618750012823129031871026251812075007669533485823297252834970624741980151717736353027189405864593100706390548217889005956008578247802940137731265888826310587563758985079104084617756451808967387101315194304305427840151662835356913407235056025397772311326727432781063363513762702180538751774506003111327285291157421489295488595279682839158056220136375036046133040583000300804913264864276523161732643939835045173920684794267439028633709595105582313536549104807766287605159531753638077599350527040894095083898931730599255555235187651669409998055725414069591552462673704414091496423252874878112967679603167288799760351083894271353975753973878548004611375529398413624036364352435401941981860894740378696784557510789262546382341364851992270132843783640466536060831293648696723811260986206842002821116465855184940305633452255133433634006689620600961627181604829820385778099688870348020298751506416755390878834386315662843609659098556122414970088938903940092481678832918963962704278975976553895438896538821850024389498230887332634318925270867777891928297462579280007408926900781299015877929572851281516536917500903487742276865703929494198127882223379745071325563753508511441202795623181449972847061828469634664902708833973671960568890290837504135994743984997771491389072330815212802004084200708808701175758401339811591157504676397259347446803243263145235417063150718152725882294115344398624114922746954756594868624739244201952462246582619388733608468111793550968953498454615597937771975793870988558981700421354414451197814816301573923}
23020  22539225953625192090276648611196058271367388631118157513459696256497558686481: {69051,322154,391051,460220,552264,621297,1079731,1196156,1354699,1903771,2024264,2115356,2277297,2588491,3381441,3407779,3816451,3951356,4025525,4446674,4830630,4868156,5152672,5309371,5715019,5750750,5796756,6120019,6389659,6553005,6659011,6699356,6900900,6989872,7062499,7178354,7248092,7360960,7535144,7863606,8208501,8281080,8477037,8669971,8833152,9070219,9316215,9624554,9735464,9772025,9863997,9937296,9987452,10134379,10797139,10952397,10978514,11179458,11458099,11726430,12508192,12598514,12719612,13031624,13168171,13910765,14071716,14355452,14605651,14646541,14660577,14900156,15126211,15822962,16551811,16625834,16692918,16939099,17160362,17196931,17850021,17961074,18162332,18353611,19121491,19608392,19631971,20141299,20522539,20702504,20776339,20872892,20903131,20923630,21029851,21233756,21250025,21662371,21774812,21945194,22059441,22664481,23290317,23924539,24299299,24786454,25073192,25108356,25194812,25500030,25634474,25791859,25896914,26534251,26981525,27200032,27774357,27886652,27888571,28207341,28378891,28623619,28782332,29721331,29890900,30449899,30571292,30600036,30934171,31296619,31464572,32259979,32280801,32377830,32411114,32584497,32928362,33338251,33783356,34291819,34317692,34529491,34536352,34648219,35003971,35162421,35409220,35869080,35918972,35959592,36185131,36717837,36789362,37770845,38069162,38260352,38429525,38505597,38853396,39168965,39569779,39685411,39999356,40109354,40352715,40377691,40454541,40530332,40722859,41381192,41860025,41982931,42097051,42121532,42491064,42646634,42780259,42839349,43042896,43304105,43331181,43574059,43657514,43913179,44701939,44917874,45325014,46045891,46115430,46553841,47002758,47047051,47157931,47802447,47868104,48372859,48383041,48423258,48424749,48702691,49117857,49141459,49162172,49189792,49360411,49547841,50196005,50232030,50564156,50584600,50885011,50999225,51089372,51298709,51780165,51781565,51964926,52073011,52404434,52420389,52717339,53252299,53258024,53465779,53580832,53639594,53851617,53958350,54210691,54302765,54409052,54581397,54634771,54740611,55232176,55338516,55454972,55608362,56099114,56424259,56633419,56907675,56946619,56998445,57259171,57363211,57559592,57890972,58296331,58399651,58985525,59326291,59531419,59915277,59934381,60042979,60147356,60235206,60278436,60450931,60701520,60756139,61191065,61199070,61465771,61701362,62136198,62137878,62405225,62874451,62877101,62909162,63092792,63262652,64113362,64368091,64748288,64750020,64754541,65163318,65279008,65333756,65453131,65793194,65850812,66041299,66195356,66760449,67400252,67500379,67693699,67790251,68289210,68398134,68431772,69066688,69118630,69229891,69369074,69606314,69791974,69801211,69976892,70180651,70782630,70979391,71499619,71532069,71780419,72212345,72433099,72441962,72485889,72487877,72542504,72841824,73059356,73283870,73401212,73429278,73438884,74003491,74086514,74195277,74278459,74886270,75281131,75346341,75501472,75558197,75914659,75961052,76131452,76185091,76365019,76472156,76581605,76973765,77171131,77316421,77586794,77700024,78173756,78259605,78513692,78746354,79292251,79440362,79476725,79751949,79878688,79991624,80076979,80211452,80337259,80976245,81200179,81426350,81610317,81623069,81855965,81947052,82203434,82752092,82942356,83073259,83476912,83577194,83578051,84033962,84104156,84499275,84522845,84718034,84939156,85157225,85406779,85764245,85817539,85981339,86128412,86292725,86309561,86552371,86654814,86657181,86796019,87281371,87412527,87441362,87940644,87986405,88403779,88483411,88642459,89020394,89156156,89196859,89354611,89659772,89698025,89747731,89824430,89863524,89990577,90132560,90143954,90584264,90606259,91148059,91336412,91379179,91749057,91897926,91993317,92265334,92348709,92368518,92442165,92477301,93054259,93129571,93579931,93911526,94158962,94226901,94546819,94676449,94823594,95062411,95327169,95347292,95372070,95647339,95707754,96372019,96731659,96757654,97171494,97711620,98127314,98227158,98343356,98362819,98604976,98642611,98740900,99702820,...,11921370914743538809119009773060009806986743882223599664089377911428349339850931694911170272389267861787444478410673774596886442139179898833167312059491097378211741247320530506169739416549523145696258032733150473450886778815748587620016879329758311880311949799370677891944088060776622744718582327494566672669423118527634025389087386730319184187524480990969601397385223781626094776786821150135094813488203362114192276664914523628923743731429002733711430646604144103420333479626001993933526242432455138197030806652019448956891241541609225820202077159850044602675043213708046468326760631984965199031245245944054749817124771234651608212964905588594284664968530701589156460869959494130012527743389973767543530972209376545142354689776492675228501046135080353004372230566179731872733690161741229047908647462768858404274068486955625067266777534273586642199063436102072524893177069831616402269571564611997708493141817562188878174562214150424981704474326349705160047473711191643125949878930744994905342217748630767172763331948012771304784202395725855408879696146523488840898692984093064983227207723390706099921912972832317789841308099078785193918918440542622517137280252397932885360339476657277380184592808266736472482398647624629164167130648172437550480874814089098051074696888434978524405070525550494573907536280838227786709251781247548060647241759983601398564930192842876808057928003995998486937634642218187613677062589019391739154681130708003196590787628307630001102913494601802973867793476477054921782081755963301453508015603039810429419970475007672981597603908885433613173397665944753616999260743373289969811538658176535996858874099151591872917333064380029140423652295273805420425246468576669706715468395130930097164243409310573819810588153857585105748316880531853162558976066530436854164815838368129258493560800743496528307928219386820583209081691035082885386270563561025614834277789644692967626739535728197455093252176222640281135814781970718145146931264195259036186058213359686274598806802333072926149409826941271451705905852378463705663325431187364326975592840024667946465924261716159128084211936114451002204093303140656527647052609219812825000017097505375828035002416100010226044647764396337113294166322640202290315137369585874486124134275187397623852007941344770997070586850308354518435080783418345313438805446157008602411956516135086925739073903786868883780475884542980074700530363081768969910374751151351683602907385002366008004148436380388209895319060651460372910452210741626848500048061510720777333734406551019819035364215643525253113393565227579725689918704844946126807443084715398806410355050140212709004850770132467369387858793445198575640799007406980250202225879997407633885426122069950231605885455328564337166504150623572804223051733013801445192361805301005298504730672815167372531218165381819136580535922642481192987171595712743347719016728509788486469323026843791711520622048081108391531595631748347981609122670428155287806913253740844603006844578178675586160801282169575473106427181037466251827130693731668675222340521171779181754217124812878798074829886626785251871920123308905110558618616939038634635405193918528718429133365852664307849776845758567027823703855904396616772373343211902534375065354503906097135042022049223334537983656369154271905992264170509631172993428434085004678015254937060830908599963796082437959512886536945111964895947425187054450005514659658646663695321852096441086950402672112267611744934901011201786415454876672901863012463262404324350860313889417534290870301176392153792531498819896995939675459824832985658935936616328776825851644811290815724734625271331272820797250362634391827984745308933895139219268263753088402098564}
23021  22620141629015188037868001314809262039156387445979771653476390965194434646403: {23021,92068,483231,575275,690330,736352,828396,1495195,1771231,1794234,2530330,2644195,3036396,3173034,4299691,4508588,4939195,5927034,6085195,6116138,6440840,6593251,6670011,7245945,7302234,7729008,7771634,8374195,8518531,8626125,8695134,8737340,9060115,9201200,9350011,9418930,10049034,10351350,10484808,10767531,10872138,10944668,11041440,11302716,11402671,11777536,11795409,11871871,12106771,12169330,12421620,12484315,12658123,13151996,13249728,14029171,14436831,14603196,14905944,14981178,15635240,15899515,16005211,16289530,16467771,16769187,16784491,16908991,17157343,17589645,17886619,17944315,18114691,18418411,18625195,18762288,18897771,19079418,19311883,19539811,19547436,20641939,21107574,21170851,21533178,21939043,22257224,22350234,22439659,22651378,22702915,23734443,23741674,23791891,23800028,24305434,24510490,24938751,25039377,25672634,25719103,25740543,25878130,25953631,26091115,26125243,26542195,26941611,27218515,27243498,27458299,29412588,30076891,30219308,31053756,31309338,31341490,31385445,31464643,31493515,31850634,31855291,32007634,32180611,32285978,32341531,32662218,32917791,33427951,33477808,34000040,34804531,34858315,34969759,35827594,35977915,36208543,37032476,37179681,37363625,37469179,37609788,37662534,37685491,37773643,37792218,37968799,38214115,38250045,38451711,38620402,38845371,38959531,39330715,39467131,39887443,40099651,40437931,40733251,40800048,41829978,41884591,42229195,42897115,43041068,43170440,43173498,43445996,43947019,44261525,44277883,44836350,44898715,44949490,45856938,45900054,46023658,46600771,46883228,47194339,47196858,47825440,48328154,48440491,48566745,48616671,48957116,49391443,49392543,49933279,49999195,50364643,50662915,50675034,50899354,51092131,51340796,51476538,51726490,51804528,52651915,53113830,53803620,53878458,53908954,53939388,55184043,55206193,55445899,55896511,55935034,56654611,56654752,56889151,56925919,57096211,57103743,57119132,57390528,57774908,58280094,58377451,58418971,58663651,58939711,59835130,59999034,60164031,60360619,60433352,60795498,61452715,61487240,62071788,62251018,62542618,62670344,63182298,63183859,63205195,63230750,63474691,63736596,63861715,63969951,64564344,64566332,64696843,65486271,65490476,65931514,66063788,66572530,66806191,66976040,67290619,67376811,67784959,67987521,68011315,68560651,68808842,68933194,69040220,69173145,69286568,69318715,69893852,69935071,69992671,70328971,70504137,70508338,70743283,70749151,71802156,71949490,72035011,72134143,72363715,72634887,72775196,73042298,73080223,73216891,73743258,73784688,74058331,74176339,74842891,74931802,75184195,75348045,75846234,75876900,76011091,76380643,76634058,77114194,77653279,77947389,78145771,78573331,78606651,78642034,78865990,79078315,79261231,79518283,79887036,79912508,80138131,80313608,80371248,80459391,80935360,80937525,81321451,81598760,81613578,81667195,82313515,82420699,82574239,82744195,82781119,82848264,82850504,83007774,83021731,83182458,83412543,84148671,84250315,85539715,86279354,86333360,86339388,86836458,86848939,86884424,87471115,87896443,89013932,89448799,90221034,90352809,90417654,90570043,90678130,91052280,91197512,91324195,91409791,91751515,91763971,91798605,92120443,92552043,92830399,92879611,93204297,93206817,93509611,93781258,94363743,94376840,94639188,94893978,94951315,94987171,95164315,95213834,95376092,95590195,95623651,95877034,96170043,96609571,96647852,96732643,96795259,97056691,97122432,97125030,97717195,97744977,97905704,97918512,98000634,98142115,98689791,98750971,98776218,98862874,98927036,99293034,99354811,99467018,99848360,99989530,...,17882056372115308213678514659590014710480115823335399496134066867142524009776397542366755408583901792681166717616010661895329663208769848249750968089236646067317611870980795759254609124824284718544387049099725710176330168223622881430025318994637467820467924699056016837916132091164934117077873491241850009004134677791451038083631080095478776281286721486454402096077835672439142165180231725202642220232305043171288414997371785443385615597143504100567145969906216155130500219439002990900289363648682707295546209978029173435336862312413838730303115739775066904012564820562069702490140947977447798546867868916082124725687156851977412319447358382891426997452796052383734691304939241195018791615084960651315296458314064817713532034664739012842751569202620529506558345849269597809100535242611843571862971194153287606411102730433437600900166301410379963298595154153108787339765604747424603404357346917996562739712726343283317261843321225637472556711489524557740071210566787464688924818396117492358013326622946150759144997922019156957176303593588783113319544219785233261348039476139597474840811585086059149882869459248476684761962148618177790878377660813933775705920378596899328040509214985916070276889212400104708723597971436943746250695972258656325721312221133647076612045332652467786607605788325741860861304421257341680063877671871322090970862639975402097847395289264315212086892005993997730406451963327281420515593883529087608732021696062004794886181442461445001654370241902704460801690214715582382673122633944952180262023404559715644129955712511509472396405863328150419760096498917130425498891115059934954717307987264803995288311148727387809375999596570043710635478442910708130637869702865004560073202592696395145746365113965860729715882230786377658622475320797779743838464099795655281247223757552193887740341201115244792461892329080230874813622536552624328079405845341538422251416684467039451440109303592296182639878264333960421703722172956077217720396896292888554279087320039529411898210203499609389224114740411907177558858778567695558494988146781046490463389260037001919698886392574238692126317904171676503306139954710984791470578913829719237500025646258063742052503624150015339066971646594505669941249483960303435472706054378811729186201412781096435778011912017156495605880275462531777652621175127517970158208169235512903617934774202630388608610855680303325670713826814470112050795544622653454865562126727027525404361077503549012006222654570582314842978590977190559365678316112440272750072092266081166000601609826529728553046323465287879670090347841369588534878057267419190211164627073098209615532575210319063507276155198701054081788190167797863461198511110470375303338819996111450828139183104925347408828182992846505749756225935359206334577599520702167788542707951507947757096009222751058796827248072728704870803883963721789480757393569115021578525092764682729703984540265687567280933072121662587297393447622521972413684005642232931710369880611266904510266867268013379241201923254363209659640771556199377740696040597503012833510781757668772631325687219318197112244829940177877807880184963357665837927925408557951953107790877793077643700048778996461774665268637850541735555783856594925158560014817853801562598031755859145702563033073835001806975484553731407858988396255764446759490142651127507017022882405591246362899945694123656939269329805417667947343921137780581675008271989487969995542982778144661630425604008168401417617402351516802679623182315009352794518694893606486526290470834126301436305451764588230688797248229845493909513189737249478488403904924493165238777467216936223587101937906996909231195875543951587741977117963400842708828902395629632603147846}
23022  22701345877304783920978781825108610348010829121821141869121896941285628122260: {115085,138102,253121,437057,644308,666797,782102,920440,1035495,1104528,1242594,1354817,1400621,1812497,2159462,2315021,2392312,2691351,2709398,3453521,3726017,3795495,3807542,4048528,4230712,4554594,4759551,4813121,5176982,5445137,5635735,6165521,6390221,6435137,6762882,6815558,7107917,7510721,7632902,7902712,8002157,8051050,8581697,8670737,8890551,8893348,9071021,9174207,9248717,9661260,9736312,10135277,10305344,10618742,10798097,10921675,10953351,11062721,11430038,11501500,11593512,11657451,11723021,12162221,12240038,12775757,12779318,13042701,13106010,13318022,13398712,13680835,13736717,13801800,13979744,14124998,14128395,14128721,14346221,14356708,14496184,14606957,14721920,15040877,15070288,15073551,15527025,15727212,16035857,16308207,16417002,16439995,16467137,16553297,16562160,16725521,16954074,17339942,17666304,18140438,18253995,18397997,18632430,19123217,19249108,19470928,19475071,19544050,19727994,19874592,19974904,20143121,20268758,20524397,21411521,21594278,21664337,21832721,21904794,21957028,22211117,22358916,22421057,22471767,22672721,22916198,23300621,23452860,23968397,24434295,24717197,25016384,25173521,25197028,25422017,25439224,25587521,25794221,26063248,26207021,26336342,26660177,27194477,27821530,27891137,28143432,28619127,28667021,28710904,29211302,29293082,29321154,29480621,29724077,29750035,29800312,30252422,30452717,30735377,30937037,31339757,31460417,31645924,31661361,32142797,32262977,32299767,32742977,32902721,33103622,33251668,33385836,33525351,33878198,33977067,34320724,34393862,34691021,35612511,35700042,35922148,36227777,36324664,36423917,36458151,36707222,36765735,37284557,37774135,38219021,38242982,38413121,38508951,38800721,38817195,39216784,39263942,39612077,39727697,40151021,40282598,40765037,40865247,41045078,41405008,41552678,41745784,41806262,41847260,42024977,42059702,42101057,42253121,42467512,42500050,42784337,43238417,43324742,43549624,43615937,43890388,44118882,44743697,45328962,46050317,46290595,46580634,46755521,46964007,47012235,47088557,47162477,47775951,47849078,48011451,48414221,48428967,48598598,48993327,49146221,49182737,49572908,49693121,49911377,50146384,50216712,50389624,50564417,50817677,51000060,51268948,51583718,51793828,52006337,52078097,52722497,52879183,52936721,53068502,53684237,53741391,53801335,53963050,54216017,54307495,54400064,54675437,54836551,54851777,55548714,55773304,55777142,55800557,56414682,56429837,56464721,56493801,56673857,56688327,56757782,57247238,57564664,57680621,57930603,57991697,58508717,58604035,59442662,59571521,59781800,60048977,60083021,60253121,60625747,60897677,60899798,61100621,61142584,61196395,61200072,61868342,61909517,62593238,62744967,62914157,62929144,63114221,63480257,63579917,63779021,63911597,64175995,64407617,64519958,64561602,64605521,64755660,64760247,64822228,65168994,65295917,65459777,65856724,66080621,66676502,66925517,67254525,67424235,67566712,67732817,67829357,68182721,68583638,68635384,68785407,68850081,68854637,68950337,69035487,69058982,69072704,69268817,69296438,69618221,69808397,70007942,70274407,70324842,70408721,70597697,70795287,70818440,71398915,71738160,71837944,71919184,72005837,72218635,72370262,72492231,72494191,73089857,73435674,73578724,74286221,75228497,75541690,76012551,76023871,76138324,76283117,76349031,76403021,76520704,76821677,76859050,77011194,77214807,77589735,77706792,77743121,78337930,78362957,79139558,79329857,79370822,79475597,79670745,79797823,79998712,80114477,80218708,80705430,80707915,80755382,80817687,80863431,80909082,81060664,81445718,81863095,82579735,82762384,83082221,83110337,83615057,83720050,83902551,83965862,84194102,84200621,84243064,84505937,84982128,85031021,85293268,85333697,85443521,85560518,85667491,85678698,86085792,86300275,86399021,86561837,86608210,86662362,87148118,87315028,87317837,87367315,87371597,87420141,87452177,87826358,87880721,88652237,88837457,89233037,89296051,89403878,89752695,89757677,89835748,89998551,90227117,90650028,90771521,90968995,91193247,91225783,91389377,91415021,91568717,91645457,92091782,92230860,92307521,93064721,93089837,93107682,93376527,93440621,93590477,93813927,94005516,94038317,94094102,94315862,94773447,94846125,95146577,95317517,95604894,95658221,95682497,95736208,95755277,96021521,96166337,96407057,96463627,96742721,96745718,96766082,96846516,96849498,97243277,97405382,97456721,98022737,98235714,98282918,98324344,98379584,98607437,98720822,98747021,98897271,99095682,99693137,99784721,99858795,99890635,...,26823084558172962320517771989385022065720173735003099244201100300713786014664596313550133112875852689021750076424015992842994494813154772374626452133854969100976417806471193638881913687236427077816580573649588565264495252335434322145037978491956201730701887048584025256874198136747401175616810236862775013506202016687176557125446620143218164421930082229681603144116753508658713247770347587803963330348457564756932622496057678165078423395715256150850718954859324232695750329158504486350434045473024060943319314967043760153005293468620758095454673609662600356018847230843104553735211421966171697820301803374123187088530735277966118479171037574337140496179194078575602036957408861792528187422627440976972944687471097226570298051997108519264127353803930794259837518773904396713650802863917765357794456791229931409616654095650156401350249452115569944947892731229663181009648407121136905106536020376994844109569089514924975892764981838456208835067234286836610106815850181197033387227594176238537019989934419226138717496883028735435764455390383174669979316329677849892022059214209396212261217377629088724824304188872715027142943222927266686317566491220900663558880567895348992060763822478874105415333818600157063085396957155415619376043958387984488581968331700470614918067998978701679911408682488612791291956631886012520095816507806983136456293959963103146771092933896472818130338008990996595609677944990922130773390825293631413098032544093007192329272163692167502481555362854056691202535322073373574009683950917428270393035106839573466194933568767264208594608794992225629640144748375695638248336672589902432075961980897205992932466723091081714063999394855065565953217664366062195956804554297506840109803889044592718619547670948791094573823346179566487933712981196669615757696149693482921870835636328290831610511801672867188692838493620346312220433804828936492119108768012307633377125026700559177160163955388444273959817396500940632555583259434115826580595344439332831418630980059294117847315305249414083836172110617860766338288167851543337742482220171569735695083890055502879548329588861358038189476856257514754959209932066477187205868370744578856250038469387095613078755436225023008600457469891758504911874225940455153209059081568217593779302119171644653667017868025734743408820413193797666478931762691276955237312253853269355426902161303945582912916283520454988506070740221705168076193316933980182298343190090541288106541616255323518009333981855873472264467886465785839048517474168660409125108138399121749000902414739794592829569485197931819505135521762054382802317085901128785316746940609647314423298862815478595260914232798051581122682285251696795191797766665705562955008229994167176242208774657388021113242274489269758624634338903038809501866399281053251682814061927261921635644013834126588195240872109093057306205825945582684221136090353672532367787639147024094555976810398531350921399608182493880946090171433782958620526008463349397565554820916900356765400300902020068861802884881544814489461157334299066611044060896254519250266172636503158946988530828977295668367244910266816711820277445036498756891888112836927929661686316689616465550073168494692661997902956775812603333675784892387737840022226780702343897047633788718553844549610752502710463226830597111788482594383646670139235213976691260525534323608386869544349918541185485408903994708126501921015881706670872512512407984231954993314474167216992445638406012252602126426103527275204019434773472514029191778042340409729789435706251189452154458177646882346033195872344768240864269784605874217732605857386739747858166200825404335380652906860495363846793813315927381612965676945101264063243353593444448904721769}
23023  22782839720856717115484228440508181641960433707439967697403500695757568336744: {46042,184136,207153,805385,966462,1150550,1173153,1380660,1472704,1656792,1863891,2093273,2990390,3239193,3542462,3588468,3701873,4064097,4805537,5060660,5081453,5288390,5711313,6072792,6346068,6831891,6914873,7765473,8519273,8599382,9017176,9878390,10144323,10223337,11050013,11116685,11449353,11723873,11854068,12076575,12170390,12232276,12684161,12881680,13186502,13340022,13531097,14030393,14376875,14491890,14604468,15458016,15543268,15928113,16748390,16785953,17037062,17145057,17252250,17390268,17474680,17478041,17888177,17945885,18120230,18360057,18402400,18700022,18759137,18837860,19168977,19541513,19659015,19977033,19983353,20098068,20643737,20702700,20969616,21187497,21535062,21744276,21767213,21889336,22065521,22082880,22259321,22605432,22805342,23555072,23590818,23743742,24061385,24213542,24338660,24625503,24843240,24968630,25122041,25316246,25431111,26009913,26075273,26303992,26499456,26519597,26590937,27210657,27446285,27948645,28058342,28873662,29198801,29206392,29316075,29591991,29811888,29962356,30403137,30672473,31270480,31496285,31784081,31799030,32010422,32391417,32450717,32579060,32857191,32935542,33538374,33568982,33817982,34314686,34374297,35179290,35773238,35888630,36146417,36229382,36502313,36527561,36836822,37159073,37250390,37524576,37795542,37972121,38105921,38158836,38623766,39079622,39094872,39504513,39557405,41283878,41327897,41564585,41647457,41732295,42215148,42217601,42341702,42410513,42900905,43066356,43816953,43878086,43939623,43981731,44090921,44281757,44514448,44700468,44817257,44872217,44879318,44902685,45302756,45378633,45405830,46642973,47468886,47483348,47583782,47600056,48523757,48610868,48801641,49020980,49655433,49877502,50078754,50369081,50449121,50817297,51345268,51438206,51481086,51590793,51756260,51907262,52182230,52250486,52309075,53084390,53499761,53550063,53883222,54437030,54486996,54862985,54916598,55060833,55063001,55202201,57247853,57325421,57364473,57390377,58150577,58825176,58895913,59012057,59120873,60055961,60153782,60423897,60438616,61567617,61966135,62107512,62329017,62618676,62682980,62709393,62770890,62858201,62929286,62987030,63089553,63701268,63710582,63750075,64015268,64086185,64361222,64571956,64683062,64742285,64987113,65324436,65565257,65835582,66059513,66178323,66855902,66955616,66957161,67232633,67790921,67993443,68000080,68991533,69609062,69716630,69870951,69939518,69998873,70928081,71335277,71655188,71773617,71905073,71955830,72417086,72897897,73086617,73712681,74064952,74359362,74727250,74938358,75219576,75325068,75370982,75547286,75584436,75937598,76428230,76500090,76903422,77156081,77240804,77375577,77690742,77794697,77919062,78152657,78661430,78934262,79525277,79602753,79774886,80109497,80199302,80875862,80944575,81027785,81466502,81600096,82320905,83323071,83612633,83647937,83659956,83665713,83769182,84458390,84622023,85136673,85214621,85366601,85794230,85870857,86033801,86082136,86340880,86346996,86370353,86529053,86891992,87894038,88487273,88523050,88555766,88670861,89163993,89406401,89672700,89797430,89898980,91349697,91713876,91772057,91800108,91973405,92047316,92262941,92354093,92802513,92838521,92887817,93201542,93766456,93889857,94388678,94393716,95172905,95215841,95650880,96656308,96779937,96842403,96880982,97046201,97133490,97233342,97587737,97753491,97914232,98237201,98473577,98782886,98785086,99866558,99998390,...,35764112744230616427357029319180029420960231646670798992268133734285048019552795084733510817167803585362333435232021323790659326417539696499501936178473292134635223741961591518509218249648569437088774098199451420352660336447245762860050637989274935640935849398112033675832264182329868234155746982483700018008269355582902076167262160190957552562573442972908804192155671344878284330360463450405284440464610086342576829994743570886771231194287008201134291939812432310261000438878005981800578727297365414591092419956058346870673724624827677460606231479550133808025129641124139404980281895954895597093735737832164249451374313703954824638894716765782853994905592104767469382609878482390037583230169921302630592916628129635427064069329478025685503138405241059013116691698539195618201070485223687143725942388306575212822205460866875201800332602820759926597190308306217574679531209494849206808714693835993125479425452686566634523686642451274945113422979049115480142421133574929377849636792234984716026653245892301518289995844038313914352607187177566226639088439570466522696078952279194949681623170172118299765738918496953369523924297236355581756755321627867551411840757193798656081018429971832140553778424800209417447195942873887492501391944517312651442624442267294153224090665304935573215211576651483721722608842514683360127755343742644181941725279950804195694790578528630424173784011987995460812903926654562841031187767058175217464043392124009589772362884922890003308740483805408921603380429431164765346245267889904360524046809119431288259911425023018944792811726656300839520192997834260850997782230119869909434615974529607990576622297454775618751999193140087421270956885821416261275739405730009120146405185392790291492730227931721459431764461572755317244950641595559487676928199591310562494447515104387775480682402230489584923784658160461749627245073105248656158811690683076844502833368934078902880218607184592365279756528667920843407444345912154435440793792585777108558174640079058823796420406999218778448229480823814355117717557135391116989976293562092980926778520074003839397772785148477384252635808343353006612279909421969582941157827659438475000051292516127484105007248300030678133943293189011339882498967920606870945412108757623458372402825562192871556023824034312991211760550925063555305242350255035940316416338471025807235869548405260777217221711360606651341427653628940224101591089245306909731124253454055050808722155007098024012445309141164629685957181954381118731356632224880545500144184532162332001203219653059457106092646930575759340180695682739177069756114534838380422329254146196419231065150420638127014552310397402108163576380335595726922397022220940750606677639992222901656278366209850694817656365985693011499512451870718412669155199041404335577085415903015895514192018445502117593654496145457409741607767927443578961514787138230043157050185529365459407969080531375134561866144243325174594786895245043944827368011284465863420739761222533809020533734536026758482403846508726419319281543112398755481392081195006025667021563515337545262651374438636394224489659880355755615760369926715331675855850817115903906215581755586155287400097557992923549330537275701083471111567713189850317120029635707603125196063511718291405126066147670003613950969107462815717976792511528893518980285302255014034045764811182492725799891388247313878538659610835335894687842275561163350016543978975939991085965556289323260851208016336802835234804703033605359246364630018705589037389787212973052580941668252602872610903529176461377594496459690987819026379474498956976807809848986330477554934433872447174203875813993818462391751087903175483954235926801685417657804791259265206295692}
23024  22864624185631869069114217692122479403841307444695068581694315758367515773775: {69063,161119,230170,276204,299143,506242,712783,874114,1288616,1333594,1400743,1449693,1564204,1725825,1840880,2070990,2209056,2360863,2485188,2709634,2801242,3624994,3726343,4318924,4485585,4630042,4784624,5313693,5382702,5418796,5490703,6325825,6435703,6907042,6974119,7452034,7590990,7615084,7890029,7932585,8097056,8448823,8461424,9109188,9519102,9626242,10313119,10353964,10890274,11271470,11768023,12163303,12331042,12780442,12820663,12870274,12899073,12951919,13525764,13631116,14215834,14390983,14817585,15021442,15265804,15290345,15805424,16004314,16102100,16339303,16727023,17163394,17341474,17781102,17786696,18142042,18255585,18348414,18497434,18911863,19153169,19322520,19422919,19429085,19472624,19779753,20010033,20270554,20610688,21237484,21596194,21737835,21843350,21906702,21960919,22125442,22465063,22716703,22860076,23003000,23015993,23187024,23314902,23344543,23446042,23547325,23845519,24324442,24480076,25122585,25217263,25551514,25555593,25558636,25878375,26085402,26212020,26636044,26797424,26950519,27180345,27361670,27473434,27603600,27959488,28050033,28179919,28249996,28256790,28257442,28692442,28713416,28992368,29213914,29443840,30081754,30140576,30147102,30423325,30738223,31054050,31221919,31454424,32071714,32302593,32616414,32834004,32879990,32905783,32934274,33106594,33124320,33145183,33451042,33908148,34208013,34679884,34812919,35332608,35386227,35615613,36280876,36320313,36507990,36795994,37053703,37170919,37264860,37452945,37755919,37974369,38246434,38498216,38804383,38941856,38950142,39088100,39384343,39455988,39500119,39749184,39949808,40286242,40537516,40723825,41048794,41650049,41914783,42087513,42257143,42823042,43188556,43310493,43328674,43665442,43809588,43914056,44422234,44635519,44717832,44842114,44943534,45345442,45832396,46601242,46760023,46905720,47314783,47536183,47698545,47936794,48015633,48868590,49187503,49403313,49434394,50032768,50307561,50347042,50353473,50394056,50726973,50822623,50844034,50878448,51175042,51364063,51472029,51588442,52126496,52414042,52672684,52768935,52883789,52977583,53320354,53405119,53659857,53832945,54344073,54362863,54388954,54468919,54574903,55255233,55643060,55782274,55875585,56286864,56470303,56628445,56693313,57238254,57334042,57421808,57513223,57935649,58422604,58586164,58619433,58642308,58652119,58961242,59269663,59354185,59448154,59500070,59600624,60089023,60504844,60763585,60905434,61106743,61276225,61470754,61874074,61925817,62679514,62820343,62920834,63120583,63291848,63322722,63512553,64181585,64285594,64525954,64599534,64612063,64695325,64806833,65204119,65485954,65793583,65805442,65817129,66207244,66503336,66771672,67050702,67318977,67756396,67954134,68108745,68606119,68641448,68787724,68989303,69084919,69382042,69657103,70037119,70510519,70604983,71203329,71225022,71358103,71375673,71400084,71844296,72455554,72649328,72847834,72916302,72943183,73414444,73531470,74569114,74816253,75118131,75236383,75321869,75548270,76030493,76438042,76485964,76826242,76859623,77017902,77157309,77221629,77601442,77634390,77751343,77860893,78273345,78353725,78375729,78433568,78527884,79224154,79455394,79513183,79626585,80019085,80302042,80565196,80612257,80714945,80824833,81417943,81530074,81655545,81730494,82045649,82090156,82374897,82527103,82810016,83105356,83119303,83456119,83491568,83612524,83694520,84049954,84119404,84202114,84293119,84506242,84625903,84708919,84935024,85000100,85535119,85568674,85674953,86435623,86476834,86649484,87099248,87231874,87488623,87649543,87780776,88237764,88847263,89487394,89568985,89846393,90230673,90263143,90657924,91425223,91578943,92100634,92581190,92646919,93100303,93161268,93511042,93928014,94024470,94156335,94177114,94324954,94393929,94480545,95551902,95565873,95693383,95698156,96022902,96541833,96551005,96705919,96828442,96857934,97024593,97064119,97197196,97349383,97845823,97986654,98057503,98127919,98292442,98365474,98548903,98753373,98806873,99145816,99386242,99822754,99958481,...,53646169116345924641035543978770044131440347470006198488402200601427572029329192627100266225751705378043500152848031985685988989626309544749252904267709938201952835612942387277763827374472854155633161147299177130528990504670868644290075956983912403461403774097168050513748396273494802351233620473725550027012404033374353114250893240286436328843860164459363206288233507017317426495540695175607926660696915129513865244992115356330156846791430512301701437909718648465391500658317008972700868090946048121886638629934087520306010586937241516190909347219325200712037694461686209107470422843932343395640603606748246374177061470555932236958342075148674280992358388157151204073914817723585056374845254881953945889374942194453140596103994217038528254707607861588519675037547808793427301605727835530715588913582459862819233308191300312802700498904231139889895785462459326362019296814242273810213072040753989688219138179029849951785529963676912417670134468573673220213631700362394066774455188352477074039979868838452277434993766057470871528910780766349339958632659355699784044118428418792424522434755258177449648608377745430054285886445854533372635132982441801327117761135790697984121527644957748210830667637200314126170793914310831238752087916775968977163936663400941229836135997957403359822817364977225582583913263772025040191633015613966272912587919926206293542185867792945636260676017981993191219355889981844261546781650587262826196065088186014384658544327384335004963110725708113382405070644146747148019367901834856540786070213679146932389867137534528417189217589984451259280289496751391276496673345179804864151923961794411985864933446182163428127998789710131131906435328732124391913609108595013680219607778089185437239095341897582189147646692359132975867425962393339231515392299386965843741671272656581663221023603345734377385676987240692624440867609657872984238217536024615266754250053401118354320327910776888547919634793001881265111166518868231653161190688878665662837261960118588235694630610498828167672344221235721532676576335703086675484964440343139471390167780111005759096659177722716076378953712515029509918419864132954374411736741489157712500076938774191226157510872450046017200914939783517009823748451880910306418118163136435187558604238343289307334035736051469486817640826387595332957863525382553910474624507706538710853804322607891165825832567040909977012141480443410336152386633867960364596686380181082576213083232510647036018667963711746944528935772931571678097034948337320818250216276798243498001804829479589185659138970395863639010271043524108765604634171802257570633493881219294628846597725630957190521828465596103162245364570503393590383595533331411125910016459988334352484417549314776042226484548978539517249268677806077619003732798562106503365628123854523843271288027668253176390481744218186114612411651891165368442272180707345064735575278294048189111953620797062701842799216364987761892180342867565917241052016926698795131109641833800713530800601804040137723605769763089628978922314668598133222088121792509038500532345273006317893977061657954591336734489820533633423640554890072997513783776225673855859323372633379232931100146336989385323995805913551625206667351569784775475680044453561404687794095267577437107689099221505005420926453661194223576965188767293340278470427953382521051068647216773739088699837082370970817807989416253003842031763413341745025024815968463909986628948334433984891276812024505204252852207054550408038869546945028058383556084680819459578871412502378904308916355293764692066391744689536481728539569211748435465211714773479495716332401650808670761305813720990727693587626631854763225931353890202528126486707186888897809443538}
23025  22946700301201845101446752963308290730927497701766377904880046307896698833268: {92084,345255,368272,414306,759363,1127539,1311171,1610770,1932924,1955255,2000391,2301100,2346306,2761320,2783363,2945408,3106485,3313584,3727782,4064451,4186546,4201863,5398655,5437491,5679271,5980780,6478386,6773495,6945063,7084924,7176936,7403746,8074053,8128194,9518855,9611074,10121320,10162906,10360563,10360823,10576780,11178051,11386485,11422626,12145584,12692136,12942455,13386263,13663782,13829746,14278653,14439363,15322991,15530946,15563359,16335411,16907205,17038546,17038895,17198764,17918483,18034352,18345839,18496563,18760771,19082255,19170663,19305411,19756780,20127625,20288646,20446674,21323751,21652223,22067443,22100026,22233370,22532163,22898706,23447746,23708136,24006471,24153150,24340780,24464552,25124239,25368322,25745091,25763360,26012211,26373004,26546855,26671653,26680044,26961539,27062194,27213063,27522621,27684959,27746151,28060786,28465943,28575095,28753750,28983780,29208936,30405831,30600095,30916032,31086536,31133651,31856226,31948295,32394291,32765025,32860053,33188163,33295055,33496780,33571906,33685939,34074124,34290114,34475639,34504500,34780536,34949360,34956082,34972353,35169063,35263391,35312495,35776354,35891770,36240460,36486663,36720114,36804800,37400044,37518274,37675720,38327271,38337954,38424799,38567183,39083026,39128103,39245207,39318030,39331319,39954066,39966706,40196136,41042505,41210151,41287474,41405400,41656919,41939232,42374994,42385185,42386163,43038663,43070124,43349855,43488552,43534426,43778672,43820871,44094799,44131042,44165760,44199599,44518642,44876143,45122631,45210864,45220653,45351095,45610684,46581075,47110144,47181636,47487484,48107571,48122770,48427084,48677320,48860125,48924621,49251006,49319985,49401411,49444439,49659891,49686480,49937260,50176563,50244082,50632492,50671895,50862222,50947079,51870223,52019826,52150546,52607984,52998912,53039194,53181874,53199023,53266559,53985695,54421314,54761985,54892570,55193991,55380367,55897290,56116684,56821159,56899139,57290495,57369651,57747324,57901847,58190419,58397602,58412784,58425213,58632150,59122967,59183982,59623776,59924712,60061267,60121783,60429363,60806274,61344946,61573191,62540960,62863759,62992570,63568162,63598060,64020844,64234563,64782834,64901434,64993011,65158120,65498163,65714382,65818643,65840855,65871084,66633351,67076748,67137964,67263171,67415301,67635964,67824991,68018163,68629372,68748594,68910323,69553825,69901863,70358580,71546476,71777260,71905191,72292834,72458764,73004626,73028255,73055122,73229783,73232705,73302885,73673644,74086799,74151591,74318146,74500780,75049152,75520563,75591084,75631055,75944242,76211842,76266051,76317672,76394039,76440659,76762563,76808179,77247532,77382663,77932103,78159244,78189744,78317231,78621063,79009026,79114810,79144439,79739267,79980531,80116543,81583431,82567756,82655794,82759055,83129170,83294914,83464590,83673411,84430296,84435202,84683404,84695495,84821026,85801810,85857381,85984655,86001063,86132712,86176463,86233267,86752589,87633906,87756172,87879246,87963462,88181842,88441863,88563514,89028896,89172231,89250105,89400936,89634514,89720659,89744434,89758636,89805370,90605512,90639199,90757266,90811660,90818807,91358151,91768055,92206131,92362231,92510447,92811111,93285946,94019271,94381251,94937772,94966696,94984083,95167564,95200112,95607455,96428391,96531571,96788931,96899301,97047514,97221736,97603282,98041960,98159855,98228931,98708163,99102727,99310866,99399119,99745943,99755004,...,80469253674518886961553315968155066197160521205009297732603300902141358043993788940650399338627558067065250229272047978528983484439464317123879356401564907302929253419413580916645741061709281233449741720948765695793485757006302966435113935475868605192105661145752075770622594410242203526850430710588325040518606050061529671376339860429654493265790246689044809432350260525976139743311042763411889991045372694270797867488173034495235270187145768452552156864577972698087250987475513459051302136419072182829957944901131280459015880405862274286364020828987801068056541692529313661205634265898515093460905410122369561265592205833898355437513112723011421488537582235726806110872226585377584562267882322930918834062413291679710894155991325557792382061411792382779512556321713190140952408591753296073383370373689794228849962286950469204050748356346709834843678193688989543028945221363410715319608061130984532328707268544774927678294945515368626505201702860509830320447550543591100161682782528715611059969803257678416152490649086206307293366171149524009937948989033549676066177642628188636783652132887266174472912566618145081428829668781800058952699473662701990676641703686046976182291467436622316246001455800471189256190871466246858128131875163953465745904995101411844754203996936105039734226047465838373875869895658037560287449523420949409368881879889309440313278801689418454391014026972989786829033834972766392320172475880894239294097632279021576987816491076502507444666088562170073607605966220120722029051852752284811179105320518720398584800706301792625783826384976676888920434245127086914745010017769707296227885942691617978797400169273245142191998184565196697859652993098186587870413662892520520329411667133778155858643012846373283721470038538699463801138943590008847273088449080448765612506908984872494831535405018601566078515480861038936661301414486809476357326304036922900131375080101677531480491866165332821879452189502821897666749778302347479741786033317998494255892940177882353541945915748242251508516331853582299014864503554630013227446660514709207085251670166508638644988766584074114568430568772544264877629796199431561617605112233736568750115408161286839236266308675069025801372409675275514735622677821365459627177244704652781337906357514933961001053604077204230226461239581392999436795288073830865711936761559808066280706483911836748738748850561364965518212220665115504228579950801940546895029570271623864319624848765970554028001945567620416793403659397357517145552422505981227375324415197365247002707244219383778488708455593795458515406565286163148406951257703386355950240821828941943269896588446435785782742698394154743368046855755090385575393299997116688865024689982501528726626323972164063339726823467809275873903016709116428505599197843159755048442185781785764906932041502379764585722616327279171918617477836748052663408271061017597103362917441072283667930431195594052764198824547481642838270514301348875861578025390048192696664462750701070296200902706060206585408654644634443468383472002897199833132182688763557750798517909509476840965592486931887005101734730800450135460832335109496270675664338510783788985058950068849396650219505484077985993708870327437810001027354677163213520066680342107031691142901366155661533648832257508131389680491791335365447783150940010417705641930073781576602970825160608633049755623556456226711984124379505763047645120012617537537223952695864979943422501650977336915218036757806379278310581825612058304320417542087575334127021229189368307118753568356463374532940647038099587617034304722592809353817622653197817572160219243574498602476213006141958720581486091540381439947782144838897030835303792189730060780333346714165307}
23026  23029069100761597894527002830818402916588578031217989693772483532915736320810: {115105,138126,322238,460340,529069,552408,598286,621459,1012484,1217569,1425566,1748228,1904269,2041393,2416155,2577232,2667188,2801486,2876375,2899386,3128408,3408673,3451650,3519459,3681760,3817453,3953569,4141980,4418112,4721726,4970376,5419268,5446093,5591673,5602484,5851633,6279819,7198753,7249988,7452686,7475975,7869613,8637848,8672269,8805793,8856155,8971170,9260084,9569248,9717579,10627386,10765404,10837592,10981406,11105619,12192291,12515233,12651650,12871406,13220975,13302769,13814084,13826353,13948238,14416611,14739853,14904068,15130273,15181980,15230168,15244359,15260269,15780058,15865170,16038733,16194112,16556269,16897646,16922848,17133939,17716513,18218376,19038204,19252484,20495673,20626238,20707928,20744619,20908813,21035569,21406483,21498455,21780548,22299169,22542940,23053873,23296419,23536046,24056113,24326606,24662084,24695975,25426669,25557819,25560884,25641326,25740548,25798146,25903838,25922893,26665069,27051528,27200719,27262232,27404653,28018993,28431668,28781966,29635170,30042884,30425975,30432969,30458353,30531608,30580690,30603683,30670011,30821773,31063693,31610848,32008628,32204200,32678606,32749069,32966255,33150039,33350055,33454046,33467053,34326788,34348059,34420333,34657933,34682948,35171619,35562204,35573392,36229725,36284084,36430753,36511170,36696828,36994868,37823726,38052483,38306338,38645040,38845838,38858170,38945248,39117613,39559506,39696673,40020066,40541108,40593291,41221376,41870975,42091179,42109069,42474968,42592655,43130625,43192388,43246669,43475670,43686700,43699693,43813404,43921838,44250884,44489713,44930126,44939569,45300575,45433406,45720152,46006000,46031986,46374048,46504993,46629804,46689086,46750055,46892084,47060653,47094650,47171569,47691038,47784339,47835553,48276769,48648884,48960152,49484173,50245170,50357859,50434526,50899873,51103028,51111186,51117272,51435171,51756750,52088269,52170804,52195873,52424040,52434123,53272088,53594848,53664531,53694769,53837655,53901038,54120433,54360690,54723340,54756769,54862573,54946868,55080171,55207200,55390513,55918976,56100066,56231473,56277411,56359838,56499992,56513580,56514884,57013355,57380269,57384884,57426832,57506931,57984736,58003213,58313713,58417069,58427828,58520353,58624539,58887680,58977045,59359355,59446669,59931099,59950059,60163508,60281152,60294204,60533855,60846650,61476446,61585393,61931211,62108100,62391793,62421575,62443838,62908848,63290615,63562491,64143428,64605186,65079373,65232828,65301639,65571313,65668008,65759980,65811566,65868548,66196563,66213188,66248640,66290366,66777963,66902084,67521073,67811053,67816296,68416026,69251233,69359768,69625838,69822769,70145855,70297069,70665216,70772454,71231226,72184155,72548653,72561752,72640626,73015980,73591988,73876509,74026669,74107406,74341838,74529720,74905890,75304813,75366123,75511838,75938593,75948738,76293333,76299169,76492868,76996432,77284813,77608766,77883712,77900284,77996173,78029739,78176200,78225819,78438433,78768686,78911976,79000238,79279823,79492513,79497575,79498368,79558791,79772811,79841569,79899616,80026055,80276269,80572484,81075032,81447650,81631971,82082353,82097588,82338855,83095859,83300098,83689069,83829566,83845935,83922455,84175026,84514286,84524269,84544955,85069019,85646084,85763569,85786715,86171723,86377112,86620986,86657348,87330884,87390769,87596403,87619176,87828112,87948225,88512673,88775973,88844468,89271038,89305393,89433095,89435664,89684228,89699053,89721575,89854219,89887068,90573455,90636493,90690884,91209411,91255693,91664792,92017419,92092055,92556193,93125975,93160993,93202484,93520046,93686413,93811440,93910513,94488855,94629566,95072366,95168173,95269031,95352243,95387953,95397090,95873588,96031266,96477133,96559415,97174251,97352151,97699055,97737180,98045293,98375006,98571573,98676769,98806626,98868788,...,107292338232691849282071087957540088262880694940012396976804401202855144058658385254200532451503410756087000305696063971371977979252619089498505808535419876403905671225884774555527654748945708311266322294598354261057981009341737288580151913967824806922807548194336101027496792546989604702467240947451100054024808066748706228501786480572872657687720328918726412576467014034634852991081390351215853321393830259027730489984230712660313693582861024603402875819437296930783001316634017945401736181892096243773277259868175040612021173874483032381818694438650401424075388923372418214940845687864686791281207213496492748354122941111864473916684150297348561984716776314302408147829635447170112749690509763907891778749884388906281192207988434077056509415215723177039350075095617586854603211455671061431177827164919725638466616382600625605400997808462279779791570924918652724038593628484547620426144081507979376438276358059699903571059927353824835340268937147346440427263400724788133548910376704954148079959737676904554869987532114941743057821561532698679917265318711399568088236856837584849044869510516354899297216755490860108571772891709066745270265964883602654235522271581395968243055289915496421661335274400628252341587828621662477504175833551937954327873326801882459672271995914806719645634729954451165167826527544050080383266031227932545825175839852412587084371735585891272521352035963986382438711779963688523093563301174525652392130176372028769317088654768670009926221451416226764810141288293494296038735803669713081572140427358293864779734275069056834378435179968902518560578993502782552993346690359609728303847923588823971729866892364326856255997579420262263812870657464248783827218217190027360439215556178370874478190683795164378295293384718265951734851924786678463030784598773931687483342545313163326442047206691468754771353974481385248881735219315745968476435072049230533508500106802236708640655821553777095839269586003762530222333037736463306322381377757331325674523920237176471389261220997656335344688442471443065353152671406173350969928880686278942780335560222011518193318355445432152757907425030059019836839728265908748823473482978315425000153877548382452315021744900092034401829879567034019647496903761820612836236326272870375117208476686578614668071472102938973635281652775190665915727050765107820949249015413077421707608645215782331651665134081819954024282960886820672304773267735920729193372760362165152426166465021294072037335927423493889057871545863143356194069896674641636500432553596486996003609658959178371318277940791727278020542087048217531209268343604515141266987762438589257693195451261914381043656931192206324490729141006787180767191066662822251820032919976668704968835098629552084452969097957079034498537355612155238007465597124213006731256247709047686542576055336506352780963488436372229224823303782330736884544361414690129471150556588096378223907241594125403685598432729975523784360685735131834482104033853397590262219283667601427061601203608080275447211539526179257957844629337196266444176243585018077001064690546012635787954123315909182673468979641067266847281109780145995027567552451347711718646745266758465862200292673978770647991611827103250413334703139569550951360088907122809375588190535154874215378198443010010841852907322388447153930377534586680556940855906765042102137294433547478177399674164741941635615978832506007684063526826683490050049631936927819973257896668867969782553624049010408505704414109100816077739093890056116767112169361638919157742825004757808617832710587529384132783489379072963457079138423496870930423429546958991432664803301617341522611627441981455387175253263709526451862707780405056252973414373777795618887076}
23027  23111731621142094824848908103924908194522658926856026080803007315956796987741: {23027,184168,207189,483357,575425,690510,736544,828612,897429,1265605,1518726,2138349,2185285,2255078,2622342,2737357,3221540,3289429,3333985,3865848,3910510,4000782,4202229,4349079,4602200,4692612,5177475,5522640,5566726,5817229,5890816,6212970,6627168,6644977,6774085,7003105,7082589,7455564,7558117,8128902,8373092,8403726,9062485,9482893,10797310,10866229,10874982,11179029,11358542,11575105,11961560,12244609,12956772,13326397,13387429,13456755,13546990,13890126,14169848,14353872,14450017,14807492,15820129,15941079,16148106,16256388,16379749,16472109,17267605,18119437,18347437,18423229,18630085,18977475,19037710,19222148,19307109,19932253,20242640,20325812,20504173,20721126,20721646,20922357,21153560,21176389,21654109,22356102,22708429,22772970,22845252,23670087,23797755,23854453,24065605,24291168,24637153,25346469,25384272,25884910,26132077,26715157,26772526,27225685,27327564,27465493,27659492,28178675,28464817,28557306,28878726,30645982,30827605,30939357,30942013,31061892,31126718,31863637,31951105,32175685,32189029,32670822,33641569,33814410,34077092,34077790,34397528,34679473,34978933,35304069,35345917,35539585,35836966,36068704,36489909,36691678,36993126,37165597,37521542,37553605,37695349,38164510,38341326,38461989,38610822,38697219,38855757,39477493,39513560,39897877,40005133,40010785,40110157,40255250,40448509,40575553,40577292,40743937,40893348,40975429,41951773,42435553,42647502,42840133,42908485,43172949,43304446,43353685,43756189,43958533,44134886,44200052,44452755,44466740,44727613,44979457,45064326,45355105,45797412,45871035,46243585,46355677,46557733,46613077,46895492,47416272,48012942,48306300,48681560,48929104,49017909,49437493,49946413,50181069,50248478,50676385,50736644,51105517,51490182,51526720,52024422,52746008,53093710,53343306,53360088,53923078,53990485,54044173,54124388,54252469,54426126,54608375,54766755,55045242,55313605,55369918,55492302,56121572,56735589,56931886,56940853,57150190,57400453,57459507,57507500,57906913,57967560,58268757,58287255,58392829,58417872,58434337,58615105,58679053,59339259,59533213,59880733,60030099,60689797,60811105,60811662,60994657,61200190,61832064,62173072,62267302,63200413,63491533,63559933,63712452,63878785,63896590,64385089,64420513,64713829,64788582,65213505,65530050,65720106,65882757,66376326,66590110,66823717,66993560,67143812,67244437,67371878,67395189,68148248,68150109,68404175,68580228,68683585,68951278,69009000,69047979,69285733,69561072,69898720,69912164,69944706,70033629,70338126,70347397,70526782,70624990,70641975,70643605,70940653,71536557,71552708,71731105,71783540,72480920,72973326,73034785,73440228,73609600,74195773,74800088,74862577,75036548,75204385,75351440,75367755,75412993,75579973,75651789,76654542,76666779,76675908,76688293,76849598,77134366,77169613,77635125,77785669,78166052,78256206,78490414,78593917,78636060,78662638,79151413,79368469,79908132,79933412,80179285,80206693,80392272,80851557,81342757,81541035,81733669,82085010,82199975,82335685,82420302,82442293,82574948,82766485,82802893,82810800,83313838,83627605,83878464,84071053,84150099,84233893,84539757,84749988,84770370,84772326,85031413,85381573,86077326,86140248,86385517,86527573,86544289,86699710,86977104,87068852,87557344,87641742,87919597,88189598,88262084,88331520,88399198,88603969,89037284,89752286,90219697,90245262,90421728,90441306,90527653,90702190,90826753,91221368,91269975,91989985,92144629,92177197,92214669,92904229,93162150,93284593,93534337,93665757,94220288,94363272,94373653,94974968,95616085,95648737,96215142,96245540,96854168,96907779,97082173,97354640,97375355,97720250,97849242,98502012,98639970,98717349,98777173,98802822,98888878,99319782,99372960,99435549,99874520,...,160938507349037773923106631936310132394321042410018595465206601804282716087987577881300798677255116134130500458544095957057966968878928634247758712803129814605858506838827161833291482123418562466899483441897531391586971514012605932870227870951737210384211322291504151541245188820484407053700861421176650081037212100123059342752679720859308986531580493378089618864700521051952279486622085526823779982090745388541595734976346068990470540374291536905104313729155945396174501974951026918102604272838144365659915889802262560918031760811724548572728041657975602136113083385058627322411268531797030186921810820244739122531184411667796710875026225446022842977075164471453612221744453170755169124535764645861837668124826583359421788311982651115584764122823584765559025112643426380281904817183506592146766740747379588457699924573900938408101496712693419669687356387377979086057890442726821430639216122261969064657414537089549855356589891030737253010403405721019660640895101087182200323365565057431222119939606515356832304981298172412614586732342299048019875897978067099352132355285256377273567304265774532348945825133236290162857659337563600117905398947325403981353283407372093952364582934873244632492002911600942378512381742932493716256263750327906931491809990202823689508407993872210079468452094931676747751739791316075120574899046841898818737763759778618880626557603378836908782028053945979573658067669945532784640344951761788478588195264558043153975632982153005014889332177124340147215211932440241444058103705504569622358210641037440797169601412603585251567652769953353777840868490254173829490020035539414592455771885383235957594800338546490284383996369130393395719305986196373175740827325785041040658823334267556311717286025692746567442940077077398927602277887180017694546176898160897531225013817969744989663070810037203132157030961722077873322602828973618952714652608073845800262750160203355062960983732330665643758904379005643795333499556604694959483572066635996988511785880355764707083891831496484503017032663707164598029729007109260026454893321029418414170503340333017277289977533168148229136861137545088529755259592398863123235210224467473137500230816322573678472532617350138051602744819350551029471245355642730919254354489409305562675812715029867922002107208154408460452922479162785998873590576147661731423873523119616132561412967823673497477497701122729931036424441330231008457159901603881093790059140543247728639249697531941108056003891135240833586807318794715034291104845011962454750648830394730494005414488438767556977416911187590917030813130572326296813902515406772711900481643657883886539793176892871571565485396788309486736093711510180771150786599994233377730049379965003057453252647944328126679453646935618551747806033418232857011198395686319510096884371563571529813864083004759529171445232654558343837234955673496105326816542122035194206725834882144567335860862391188105528397649094963285676541028602697751723156050780096385393328925501402140592401805412120413170817309289268886936766944005794399666264365377527115501597035819018953681931184973863774010203469461600900270921664670218992541351328677021567577970117900137698793300439010968155971987417740654875620002054709354326427040133360684214063382285802732311323067297664515016262779360983582670730895566301880020835411283860147563153205941650321217266099511247112912453423968248759011526095290240025235075074447905391729959886845003301954673830436073515612758556621163651224116608640835084175150668254042458378736614237507136712926749065881294076199175234068609445185618707635245306395635144320438487148997204952426012283917441162972183080762879895564289677794061670607584379460121560666693428330614}
23028  23194688902823029287952991065611887093339796656611736780079752526837887711171: {161147,230210,253187,276252,391187,644476,920680,1035765,1058138,1104816,1196572,1242918,1538387,2024968,2278089,2435138,2452547,2851132,2908427,3382617,3454427,3496456,3590747,3808538,3817787,3933513,4026925,4082786,4814387,4832310,5154464,5334376,5491667,5602972,5717027,5752750,5798772,5865765,6001173,6256816,6302027,6817346,6903300,6975347,7038918,7064987,7363520,7512707,7634906,7646867,7907138,7914971,8138171,8283960,8350089,8806571,8836224,9251171,9319455,9443452,9940752,10314947,10403387,10466365,10800971,10838536,10892186,10977467,11183346,11204968,11703266,12193353,12297107,12398617,12559638,12605589,13172867,13871171,14132507,14397506,14480507,14499976,14741171,14784587,14905372,14951950,15739226,16195965,16312473,16730027,16859147,17037813,17117171,17275696,17344538,17611586,17712310,17942340,18509365,18520168,18616571,19000547,19138496,19435158,19511507,20318171,20320485,20699267,20835189,21254772,21530808,21543827,21675184,21838667,21962812,21964907,22211238,22678907,23097827,23933267,24027685,24222159,24384582,24474587,25030466,25303300,25407265,25742812,25925267,26441950,26605538,26790971,27628168,27652706,27776027,27896476,28021571,28062467,28266827,28556565,28797227,28833222,29479706,29610587,29808136,29894507,30097837,30260546,30363960,30460336,30488718,30520538,30824627,30864971,31066571,31081689,31082469,31308227,31469171,31560116,31710347,31730340,32077466,32271971,32388224,32512187,33112538,33534153,33795292,33845696,34159455,34267878,34463171,34574365,34700747,34819427,35017067,35433026,36167989,36434171,36436752,37412171,38076408,38229827,38504968,38827365,39584747,39738971,39931571,40158789,40277747,40991346,41252476,41415856,41489238,41817626,41998907,42071138,42265187,42379187,42569027,42596365,42812966,42835959,42996910,43318089,43364171,43561096,43590707,43741571,43929971,44493971,44531507,44598338,44719067,45085880,45429971,45968973,46107746,46152757,46212347,46546571,46592838,46690077,47072092,47102171,47323907,47619107,47840171,47876987,48112226,48538307,48653212,49006233,49306571,49324168,49391950,49816787,50721615,50853338,50904827,51115638,51116685,51121768,51282652,51481096,51596292,51698147,51807676,51845786,52200971,52236827,53330138,53415587,53486747,53755449,54103056,54161171,54373547,54401438,54524464,54656267,54809306,55037517,55250065,55431107,55489689,55583425,55606667,56037986,56062187,56282313,56586107,56863336,57246765,57511989,57524627,57563932,57916233,58008971,58619365,58835627,59041571,59270340,59349947,59629717,60066971,60085768,60382875,60712667,60851950,60865938,60915971,60916706,61063216,61161380,61207366,61220387,61340022,61422971,61643546,61928171,62127386,62398067,62899787,63221696,63233267,63420805,63599171,63971253,64017256,64295027,64408400,64956669,65118827,65357212,65414171,65450077,65498138,65577971,65610707,65872307,65932510,66202329,66300078,66700110,66908092,66934106,67596489,67655485,67656947,67850171,68653576,68696118,68780027,68840666,68971571,69258347,69290171,69315866,69365896,69480947,69639707,70051547,70151965,70343238,70525067,71124408,71146784,71654171,71810171,71884375,71934827,72019413,72121571,72459450,72463187,72568168,72587171,72741971,72861506,73020107,73022340,73389947,73393656,73789307,73989736,74431571,74705747,75312707,75372717,75647452,76104966,76397171,76517027,76612676,76845971,77235273,77290080,77691676,77716340,77767787,77890496,78033971,78036633,78235226,78476171,79119012,79393346,79530107,79640565,79675667,79818697,80014959,80040132,80111147,80487107,80884617,80919227,81062867,81082216,81186582,81234971,81349547,81639189,81835067,82442752,82544867,82567863,83054877,83103097,83238453,83474147,83741950,83929765,84033107,84182358,84218138,84311387,84747397,84949936,85185310,85397829,85443971,85553747,85725285,86261250,86384776,86427347,86493338,86942171,86951340,87373400,87390205,87399386,87480971,87626808,87722387,87843676,88501768,88606861,88946171,88979426,89236307,89440885,89499227,89708987,89729425,89735171,89860252,89879138,89970467,90601150,90646571,90801827,90866812,91217493,91419971,91440304,91522547,91676171,91800285,92012000,92033507,92063972,92566571,92748096,93009986,93171467,93259608,93378172,93400953,93500110,93696971,93721907,93784168,93795685,94121306,94189300,94343138,94540307,95382076,95423171,95568678,95569307,95671106,95787971,95844885,96126827,96553538,96632171,96775907,97086347,97182873,97297768,97707565,97920304,98056571,98080067,98197427,98204197,98295075,98408171,98580159,98781227,98897387,98968346,99198467,99564489,99885165,99916765,...,241407761023556660884659947904465198591481563615027893197809902706424074131981366821951198015882674201195750687816143935586950453318392951371638069204694721908787760258240742749937223185127843700349225162846297087380457271018908899305341806427605815576316983437256227311867783230726610580551292131764975121555818150184589014129019581288963479797370740067134428297050781577928419229933128290235669973136118082812393602464519103485705810561437305357656470593733918094261752962426540377153906409257216548489873834703393841377047641217586822859092062486963403204169625077587940983616902797695545280382716230367108683796776617501695066312539338169034264465612746707180418332616679756132753686803646968792756502187239875039132682467973976673377146184235377148338537668965139570422857225775259888220150111121069382686549886860851407612152245069040129504531034581066968629086835664090232145958824183392953596986121805634324783034884836546105879515605108581529490961342651630773300485048347586146833179909409773035248457471947258618921880098513448572029813846967100649028198532927884565910350956398661798523418737699854435244286489006345400176858098420988105972029925111058140928546874402309866948738004367401413567768572614398740574384395625491860397237714985304235534262611990808315119202678142397515121627609686974112680862348570262848228106645639667928320939836405068255363173042080918969360487101504918299176960517427642682717882292896837064730963449473229507522333998265686510220822817898660362166087155558256854433537315961556161195754402118905377877351479154930030666761302735381260744235030053309121888683657828074853936392200507819735426575994553695590093578958979294559763611240988677561560988235001401334467575929038539119851164410115616098391403416830770026541819265347241346296837520726954617484494606215055804698235546442583116809983904243460428429071978912110768700394125240305032594441475598495998465638356568508465693000249334907042439225358099953995482767678820533647060625837747244726754525548995560746897044593510663890039682339981544127621255755010499525915934966299752222343705291706317632794632889388598294684852815336701209706250346224483860517708798926025207077404117229025826544206868033464096378881531734113958344013719072544801883003160812231612690679383718744178998310385864221492597135810284679424198842119451735510246216246551684094896554636661995346512685739852405821640685088710814871592958874546297911662084005836702861250380210978192072551436657267517943682125973245592095741008121732658151335466125366781386375546219695858489445220853773110159067850722465486825829809689765339307357348228095182464230104140567265271156726179899991350066595074069947504586179878971916492190019180470403427827621709050127349285516797593529479265145326557345357294720796124507139293757167848981837515755852433510244157990224813183052791310088752323216851003791293586782158292596473642444928514811542904046627584734076170144578089993388252103210888602708118180619756225963933903330405150416008691599499396548066290673252395553728528430522896777460795661015305204192401350406382497005328488812026993015532351366955176850206548189950658516452233957981126610982313430003082064031489640560200041026321095073428704098466984600946496772524394169041475374006096343349452820031253116925790221344729808912475481825899149266870669368680135952373138517289142935360037852612611671858087594939830267504952932010745654110273419137834931745476836174912961252626262726002381063687568104921356260705069390123598821941114298762851102914167778428061452867959593452716480657730723495807428639018425876161744458274621144319843346434516691092505911376569190182341000040142495921}
23029  23277941989945576167412373787735755720055459787333530450034539870585824309006: {23029,46054,345315,368336,414378,805595,966714,1150850,1381020,1473088,1495715,1587207,1657224,1771847,1794858,1864377,2531210,3037452,3059399,3563915,3652707,3887507,4276698,4370570,4510156,4667579,5244684,5474714,5712807,6124179,6443080,6578858,6667970,6874907,7003715,7248465,7426739,7731696,7821020,8001564,8404458,8629125,8698158,9204400,9385224,9483719,9804347,10226019,10354950,10558377,11045280,11133452,11452359,11634458,11781632,11804315,11860707,12425940,12687479,12841907,13254336,13289954,13548170,14006210,14165178,14911128,15116234,15821507,16150019,16205147,16257804,16338279,16746184,16775019,16807452,17554899,18124970,18631715,18839457,18965786,20505959,21594620,21596259,21732458,21749964,21772907,22358058,22427925,22710407,22717084,23150210,23556299,23608839,23923120,24174647,24456707,24489218,24639299,25913544,26016807,26082119,26336267,26417379,26568465,26652794,26774858,26913510,27093980,27453515,27780252,28339696,28707744,28900034,29152737,29206439,29614984,31629125,31640258,31813619,31882158,32178515,32296212,32459219,32512776,32759498,32944218,33316857,33691847,34535210,34870595,36238874,36576873,36694874,36846458,37260170,37545699,37954950,38075420,38115959,38444296,38614218,38759411,39450145,39480947,39662925,39864506,39908307,40485280,40651624,41008346,41338739,41442252,41443292,41479059,41844714,42244115,42307120,42352778,42421607,43158647,43249833,43308218,43373867,44219559,44712204,44731547,44828999,45045959,45390819,45416858,45545940,45690504,45733077,45780807,46655219,47340174,47427971,47595510,47708906,48116199,48131210,48425507,48582336,49274306,49668807,49755419,50692938,50768544,51401817,51565595,51769820,52264154,52512011,52575047,52935047,53149539,53430314,53545052,54451370,54655128,54930986,55318984,56015099,56357350,56929634,57114612,57757452,58684187,58840115,59027579,60071879,60213467,60381827,60402311,60695159,60816515,61291964,61487019,61655210,61878714,61884026,62123784,62233857,62253436,62726439,62963987,63106707,63497147,63727274,63902210,64103315,64219449,64351370,64378058,64495365,64719491,64741019,64759595,65341644,65582471,65714507,66897507,67283138,67628820,67836899,68154184,68155580,68170499,68795056,68863307,69009707,69161619,69291827,69358946,69889257,69957866,70608138,70691834,70768139,70946939,71079170,71673932,71954915,72137408,72168339,72979818,73383356,73986252,74087925,74331194,75043084,75107210,75390698,75586679,76280007,76329020,76451725,76673457,76682652,76923978,77221644,77394438,77439047,77711514,77768679,77815079,78954986,79027120,79795754,79995207,80010266,80021570,80220314,80510500,80897018,81151106,81154584,81487874,81602157,81696515,81786696,81883139,81950858,82061147,82213959,83635115,83669939,83903546,84056979,84871106,85135547,85236947,85295004,85680266,85816970,86248391,86345898,86608892,86707370,87026291,87512378,87917066,88269772,88400104,88694219,88905510,88933480,89430299,89455226,89958914,90043127,90128652,90631619,90710210,91277925,91298907,91375059,91442087,91594824,91742070,91811049,92010033,92152691,92465319,92487170,92711354,93115466,93191079,93226154,93542579,93596387,93790984,94381991,94559315,94832544,95765845,96025884,96157019,96548519,96612600,97090667,97114595,97145425,97363120,97858208,98035818,98247207,98263079,98499431,98785907,98874986,98898765,98901047,99356699,99450117,99892826,...,321877014698075547846213263872620264788642084820037190930413203608565432175975155762601597354510232268261000917088191914115933937757857268495517425606259629211717013677654323666582964246837124933798966883795062783173943028025211865740455741903474420768422644583008303082490377640968814107401722842353300162074424200246118685505359441718617973063160986756179237729401042103904558973244171053647559964181490777083191469952692137980941080748583073810208627458311890792349003949902053836205208545676288731319831779604525121836063521623449097145456083315951204272226166770117254644822537063594060373843621640489478245062368823335593421750052450892045685954150328942907224443488906341510338249071529291723675336249653166718843576623965302231169528245647169531118050225286852760563809634367013184293533481494759176915399849147801876816202993425386839339374712774755958172115780885453642861278432244523938129314829074179099710713179782061474506020806811442039321281790202174364400646731130114862444239879213030713664609962596344825229173464684598096039751795956134198704264710570512754547134608531549064697891650266472580325715318675127200235810797894650807962706566814744187904729165869746489264984005823201884757024763485864987432512527500655813862983619980405647379016815987744420158936904189863353495503479582632150241149798093683797637475527519557237761253115206757673817564056107891959147316135339891065569280689903523576957176390529116086307951265964306010029778664354248680294430423864880482888116207411009139244716421282074881594339202825207170503135305539906707555681736980508347658980040071078829184911543770766471915189600677092980568767992738260786791438611972392746351481654651570082081317646668535112623434572051385493134885880154154797855204555774360035389092353796321795062450027635939489979326141620074406264314061923444155746645205657947237905429305216147691600525500320406710125921967464661331287517808758011287590666999113209389918967144133271993977023571760711529414167783662992969006034065327414329196059458014218520052909786642058836828341006680666034554579955066336296458273722275090177059510519184797726246470420448934946275000461632645147356945065234700276103205489638701102058942490711285461838508708978818611125351625430059735844004214416308816920905844958325571997747181152295323462847747046239232265122825935647346994954995402245459862072848882660462016914319803207762187580118281086495457278499395063882216112007782270481667173614637589430068582209690023924909501297660789460988010828976877535113954833822375181834061626261144652593627805030813545423800963287315767773079586353785743143130970793576618973472187423020361542301573199988466755460098759930006114906505295888656253358907293871237103495612066836465714022396791372639020193768743127143059627728166009519058342890465309116687674469911346992210653633084244070388413451669764289134671721724782376211056795298189926571353082057205395503446312101560192770786657851002804281184803610824240826341634618578537773873533888011588799332528730755054231003194071638037907363862369947727548020406938923201800541843329340437985082702657354043135155940235800275397586600878021936311943974835481309751240004109418708652854080266721368428126764571605464622646134595329030032525558721967165341461791132603760041670822567720295126306411883300642434532199022494225824906847936497518023052190580480050470150148895810783459919773690006603909347660872147031225517113242327302448233217281670168350301336508084916757473228475014273425853498131762588152398350468137218890371237415270490612791270288640876974297994409904852024567834882325944366161525759791128579355588123341215168758920243121333386856661228}
23030  23361491930325191600499150548266378813281417465838208067394069999043986665813: {69081,299221,322294,437209,460420,506374,552504,621567,782374,850741,1288952,1450071,1538521,1726275,1841360,2071530,2116276,2209632,2393144,2485836,2498389,2692287,3076774,3796815,4049936,4556178,4870276,4905094,5085961,5637695,5702264,5816854,6415047,6555855,6765234,6908854,6992912,7110421,7181494,7513369,7617076,7635574,7867026,8053850,8165572,8212071,8584729,9251989,9628774,9664620,9776275,9868287,10001955,10308928,10315861,10448521,10668752,10978441,10983334,11205944,11242969,11434054,11505500,11597544,11731530,12002346,12298201,12513632,12604054,12606687,12955381,13047237,13634692,13806600,13916815,13950694,14077836,14129974,14652911,14727040,14785909,15025414,15269812,15293734,15532425,15814276,15829942,16214281,16276342,16473049,16567920,16700178,16731529,16860661,17451687,17613142,17672448,18502342,18638910,18886904,19044889,19428181,19555801,19881504,19934931,20065561,20320009,20322255,20629894,20701141,20806774,20932730,21009315,21247767,21334921,21601942,21677072,21784372,21840649,21954934,22366692,22409936,22674351,22722901,22848649,23406532,23476309,23852041,23977141,24386706,24594214,24797234,25119276,25211178,25596889,25913111,26345734,26464021,26834569,26993275,27187455,27742342,27819529,28065049,28265014,28310281,28396355,28448679,28795012,28961014,28999952,29482342,29569174,29810744,29897269,29903900,30867829,31351381,31478452,31713289,32391930,32598687,32624946,32914969,33154441,33274069,33460054,33537087,33638759,33718294,33867475,34075626,34228501,34234342,34551392,34689076,34725315,35223172,35424620,35570171,35884680,36733827,37018730,37040336,37181401,37233142,37298581,37883401,38001094,38276992,38870316,39023014,39395509,39511321,39627061,39979191,40162287,40370265,40636342,40640970,41398534,41670378,42040969,42269209,42383221,42509544,42611029,42743987,43061616,43087654,43350051,43350368,43632601,43677334,43925624,43929814,44422476,44535769,44760841,45357814,46195654,46216789,47328469,47439241,47460387,47594275,47823237,47866534,47881609,48055370,48404111,48444318,48769164,48949174,49139247,49311349,49416327,50060932,50185141,50606600,50728921,50814530,51485624,51703189,51802815,51804115,51850534,52241929,52883900,53211076,53581942,54358311,54378889,54484981,54591001,54696949,55014361,55042311,55256336,55269687,55305412,55552054,55792952,55890255,56043142,56124934,56533654,56591701,56932425,57113130,57594454,57634261,57666444,57921327,58152841,58669621,58959412,59221174,59616272,59634911,59789014,59796759,60107029,60195674,60413209,60521092,60718741,60727920,60920672,60977436,61041076,61226521,61512519,61649254,61729942,62133142,62163378,62164938,62616454,62767071,62839321,62938342,62939509,63120232,63239641,63420694,63460680,63529167,63738421,63937429,64154932,64334581,64543942,64631689,64712275,64776448,64962327,65024374,65322421,65617369,65813641,66225076,66931315,67068306,67276501,67590584,67691392,68125287,68318910,68338969,68535756,68819029,68926342,69010549,69106201,69148730,69297289,69401494,69638854,69678601,70034134,70058761,70153621,70626841,70866052,71010261,71393265,71474101,71563359,72196815,72335978,72868342,72873504,72965941,73428361,73797001,73911459,74439349,74824342,75260041,76039407,76152816,76435189,76459654,76614955,76883929,76973461,77009936,77350091,77654730,77776009,77816795,78396231,79169494,79477942,79713241,79863142,80145471,80148661,80317578,80555494,81100249,81677055,81982692,82067111,82396479,82504952,82638601,82831712,82978476,83483161,83567221,83635252,83997814,84070069,84142276,84530374,84536025,84653449,84736501,84758374,84819481,85138054,85192730,85194475,85394451,85480729,85625932,85645321,85671918,85993820,86463961,86545429,86636178,86728342,87122192,87181414,87483142,87517429,87678421,87859942,87919369,88319509,88789127,88876681,88955989,88987942,89063014,89196676,89272501,89438134,89592415,89745109,89980441,90171760,90859942,90915289,91455829,91532761,91686409,91729195,91937946,92215492,92298121,92305514,92424694,92450329,92482815,92818071,92826039,93093142,93185676,93380154,93732469,93803855,94144184,94204342,94254361,94551001,94647814,94717679,95238214,95287561,95411275,95580169,95590911,95680342,95753974,95798869,95853315,96161929,96224452,96527055,96567087,96667189,97076614,97168921,97306424,97382869,98012466,98091349,98161801,98212751,98232181,98613142,98648336,98652949,98783900,99209941,99633574,99831049,...,482815522047113321769319895808930397182963127230055786395619805412848148263962733643902396031765348402391501375632287871173900906636785902743276138409389443817575520516481485499874446370255687400698450325692594174760914542037817798610683612855211631152633966874512454623735566461453221161102584263529950243111636300369178028258039162577926959594741480134268856594101563155856838459866256580471339946272236165624787204929038206971411621122874610715312941187467836188523505924853080754307812818514433096979747669406787682754095282435173645718184124973926806408339250155175881967233805595391090560765432460734217367593553235003390132625078676338068528931225493414360836665233359512265507373607293937585513004374479750078265364935947953346754292368470754296677075337930279140845714451550519776440300222242138765373099773721702815224304490138080259009062069162133937258173671328180464291917648366785907193972243611268649566069769673092211759031210217163058981922685303261546600970096695172293666359818819546070496914943894517237843760197026897144059627693934201298056397065855769131820701912797323597046837475399708870488572978012690800353716196841976211944059850222116281857093748804619733897476008734802827135537145228797481148768791250983720794475429970608471068525223981616630238405356284795030243255219373948225361724697140525696456213291279335856641879672810136510726346084161837938720974203009836598353921034855285365435764585793674129461926898946459015044667996531373020441645635797320724332174311116513708867074631923112322391508804237810755754702958309860061333522605470762521488470060106618243777367315656149707872784401015639470853151989107391180187157917958589119527222481977355123121976470002802668935151858077078239702328820231232196782806833661540053083638530694482692593675041453909234968989212430111609396471092885166233619967808486920856858143957824221537400788250480610065188882951196991996931276713137016931386000498669814084878450716199907990965535357641067294121251675494489453509051097991121493794089187021327780079364679963088255242511510020999051831869932599504444687410583412635265589265778777196589369705630673402419412500692448967721035417597852050414154808234458051653088413736066928192757763063468227916688027438145089603766006321624463225381358767437488357996620771728442985194271620569358848397684238903471020492432493103368189793109273323990693025371479704811643281370177421629743185917749092595823324168011673405722500760421956384145102873314535035887364251946491184191482016243465316302670932250733562772751092439391716978890441707546220318135701444930973651659619379530678614714696456190364928460208281134530542313452359799982700133190148139895009172359757943832984380038360940806855655243418100254698571033595187058958530290653114690714589441592249014278587514335697963675031511704867020488315980449626366105582620177504646433702007582587173564316585192947284889857029623085808093255169468152340289156179986776504206421777205416236361239512451927867806660810300832017383198998793096132581346504791107457056861045793554921591322030610408384802700812764994010656977624053986031064702733910353700413096379901317032904467915962253221964626860006164128062979281120400082052642190146857408196933969201892993545048788338082950748012192686698905640062506233851580442689459617824950963651798298533741338737360271904746277034578285870720075705225223343716175189879660535009905864021491308220546838275669863490953672349825922505252525452004762127375136209842712521410138780247197643882228597525702205828335556856122905735919186905432961315461446991614857278036851752323488916549242288639686692869033382185011822753138380364682000080284991842}
23031  23445339775464457193345168291696849369861224500924803383822895698552675586379: {46058,92108,483441,575525,690630,736672,759561,828756,1127833,1173561,1611190,1933428,2094001,2301700,2645345,2762040,2946176,2991430,3107295,3174414,3314448,3543694,3589716,3728754,4301561,4615161,4989481,5062420,6074904,6087845,6118798,6834267,7127830,7305414,7357641,7775014,8300473,8553396,8725281,8741140,9020312,9335158,9521345,9805201,10147851,10206965,10363281,10489368,10772241,10949428,11425614,11453361,11800539,11877041,12080775,12248358,12886160,13157716,13335940,13749814,14007430,14381875,14443161,14496930,14853478,14901689,15463392,15642040,16003128,16012181,16475001,16526041,16808916,17043365,17151081,17258250,17396316,17597295,18003519,18408800,18770448,18906081,18967438,19087265,19320293,19608694,19767845,20452038,20687861,20709900,20926041,20941481,21116754,21194961,22090560,22266904,22538121,22904718,22940601,23268916,23563264,23608630,23721414,23744913,24414513,24820841,24851880,25050267,25374958,25683814,26084401,26338561,26419713,26508672,26579908,27096340,27230465,27300629,27692201,27753513,27958365,28012420,28330356,28473401,28903381,29258165,29822256,30232468,30944841,31210161,31399095,31643014,32300038,32402913,32410294,32515608,32676558,32932401,33492368,33550038,33614904,35109798,35993765,36249940,36580059,36891321,37195851,37263430,37379875,37456121,37485569,37678914,37816767,37931572,38434921,39255473,39348065,39518601,41011918,41613513,41667833,41980961,42397521,43189240,43192518,43361345,43441521,43464916,43499928,43545814,43992821,44028965,44211161,44223513,44280775,44353761,44716116,44855850,45049921,45420814,45434168,46300420,46659301,47112598,47217678,47846240,48349294,48587895,48818833,48913414,48937419,48978436,49278598,49842101,50190081,50577441,50667833,51113439,51351513,51827088,52033614,52164238,52672534,52834758,53136930,53212961,53280533,53305588,53549716,53827020,54187960,54907030,55230203,55528095,55560504,55849713,56133529,56359361,56679392,57001641,57415488,57800068,58305474,58403081,58412878,58534521,59141761,59229968,60954513,60961455,61909621,62097801,62505567,62559601,62576165,62865209,63258250,63280516,63627238,63764316,64357030,64592424,64631481,64918438,65025552,65516001,65518996,65588209,65888436,65894721,66035401,66104875,66513845,66633714,67077029,67320209,67383694,68036721,68928401,69070420,69131765,69293481,69741190,70286249,71360341,71799801,72066521,72083055,72191833,72477748,72666477,73153746,73249121,73389748,73423761,73692916,73699265,74520340,75091398,75651365,75909900,76150840,76221795,76231918,76301345,76414133,76888592,77228436,77518822,77687489,77775801,77952521,78337793,78900290,78961894,79325850,79729012,79816614,80193665,80372913,80970560,81303248,81890341,82016692,82376161,82677478,82781345,82884504,82886584,82958118,83328081,83565749,83689428,84064713,84187401,84488230,84614240,84705556,84800481,84843214,85143121,85669695,86199041,86317294,86391681,86499666,86616436,86747734,86886929,87935033,88439118,88582565,88831761,89336801,89424408,89463094,89657998,89683521,89744641,90091918,90293511,90663433,90781638,90833716,91091880,91381008,91466154,91561614,92473881,92594913,93199713,93245067,93247407,93310438,93924681,94407513,94680348,94855942,95131041,95191020,95369681,95417812,95932289,96232398,96262420,96815913,96851014,97164672,97536561,98508049,98548612,98747813,99128833,99337614,99510838,99772409,...,724223283070669982653979843713395595774444690845083679593429708119272222395944100465853594047648022603587252063448431806760851359955178854114914207614084165726363280774722228249811669555383531101047675488538891262141371813056726697916025419282817446728950950311768681935603349692179831741653876395294925364667454450553767042387058743866890439392112220201403284891152344733785257689799384870707009919408354248437180807393557310457117431684311916072969411781201754282785258887279621131461719227771649645469621504110181524131142923652760468577276187460890209612508875232763822950850708393086635841148148691101326051390329852505085198937618014507102793396838240121541254997850039268398261060410940906378269506561719625117398047403921930020131438552706131445015613006895418711268571677325779664660450333363208148059649660582554222836456735207120388513593103743200905887260506992270696437876472550178860790958365416902974349104654509638317638546815325744588472884027954892319901455145042758440499539728229319105745372415841775856765640295540345716089441540901301947084595598783653697731052869195985395570256213099563305732859467019036200530574295262964317916089775333174422785640623206929600846214013102204240703305717843196221723153186876475581191713144955912706602787835972424945357608034427192545364882829060922338042587045710788544684319936919003784962819509215204766089519126242756908081461304514754897530881552282928048153646878690511194192890348419688522567001994797059530662468453695981086498261466674770563300611947884668483587263206356716133632054437464790092000283908206143782232705090159927365666050973484224561809176601523459206279727983661086770280736876937883679290833722966032684682964705004204003402727787115617359553493230346848295174210250492310079625457796041724038890512562180863852453483818645167414094706639327749350429951712730381285287215936736332306101182375720915097783324426795487995396915069705525397079000748004721127317676074299861986448303036461600941181877513241734180263576646986682240691133780531991670119047019944632382863767265031498577747804898899256667031115875118952898383898668165794884054558446010103629118751038673451581553126396778075621232212351687077479632620604100392289136644595202341875032041157217634405649009482436694838072038151156232536994931157592664477791407430854038272596526358355206530738648739655052284689663909985986039538057219557217464922055266132444614778876623638893734986252017510108583751140632934576217654309971802553831046377919736776287223024365197974454006398376100344159126638659087575468335662561319330477203552167396460477489429069296017922072044684285547392690312421701795813470178539699974050199785222209842513758539636915749476570057541411210283482865127150382047856550392780588437795435979672036071884162388373521417881271503546945512547267557300530732473970674439549158373930266256969650553011373880760346474877789420927334785544434628712139882754202228510433734269980164756309632665808124354541859268677891801709991215451248026074798498189644198872019757186661185585291568690332382386983045915612577204051219147491015985466436080979046597054100865530550619644569851975549356701873943379832946940290009246192094468921680600123078963285220286112295400953802839490317573182507124426122018289030048358460093759350777370664034189426737426445477697447800612008106040407857119415551867428806080113557837835015574262784819490802514858796032236962330820257413504795236430508524738883757878788178007143191062704314764068782115208170370796465823342896288553308742503335284184358603878780358149441973192170487422285917055277628485233374823863432959530039303550073277517734129707570547023000120427487763}
23032  23529486580565968838934954731838742290608598632665047212868632347925711227351: {69087,115135,138162,253231,598442,644588,667087,874418,920840,1012748,1035945,1105008,1243134,1355407,1564748,1630231,1701482,2041927,2416785,2577904,2877125,2900142,3000031,3077042,3452550,3682720,3954607,4090687,4143060,4232552,4419264,4487145,4761621,4786288,4971672,4996778,5315541,5384574,5593131,5988247,6153548,6328025,6393031,6662527,7066231,7593630,7892773,8005687,8099872,8808127,9112356,9178197,9474847,9740552,9810188,10171922,10405231,10691745,10926425,10958121,11067631,11275390,11404528,11633708,11662521,11728231,12650047,12830094,13111710,13437367,13530468,13686785,13817708,13985824,14002737,14220842,14352631,14362988,15026738,15234152,15264367,15271148,15734052,16107700,16331144,16424142,16447145,16669925,16948231,17138421,17169458,17206207,18372537,18503978,18619927,19257548,19329240,19483541,19552550,19736574,20003910,20617856,20624721,20631722,20787631,20897042,21011145,21041287,21337504,21745395,21956882,21966668,22280217,22411888,22431247,22485938,22868108,23011000,23195088,23463060,24004692,24187687,24596402,25027264,25185031,25208108,25213374,25806031,25887375,25910762,26053927,26094474,26795887,27269384,27412207,27613200,27833630,27901388,28155672,28259948,28451157,28639447,29086145,29305822,29413041,29454080,29571818,30050828,30539624,30587468,30678057,30951367,31064850,31628552,31659884,31675131,32428562,32518231,32552684,32946098,33135840,33224885,33400356,33463058,33721322,33870425,34357077,34548847,34903374,35015525,35226284,35344896,35412945,35582121,36441007,37004684,37277820,37773808,37790585,38062437,38089778,38431231,38525721,38856362,39111602,39754897,39763008,39869862,39939127,40131122,40640018,40644510,40746031,41259788,41402282,41549407,41613548,41865460,42018630,42495534,42669842,43203884,43354144,43372447,43568744,43681298,43909868,44164231,44502487,44733384,44819872,44952487,45312425,45348702,45445802,45697298,46629727,46813064,46952618,47185207,47296601,47414465,47464521,47704082,47954282,48400927,48450057,48615441,48621031,48773412,49014837,49188428,49389127,49594468,50238552,50325057,50422356,50515621,51193778,51826222,52211167,52664697,52691468,52928042,52962631,53497231,53669138,53710567,53986550,54242647,54331145,54374910,54878767,55484684,55639058,55895145,56130098,56518371,56530028,56620562,56667031,56792710,56897358,57590024,57875525,57922028,57999904,58434487,58537807,58964684,59138348,59567047,59621488,59794538,59807800,60283231,60792631,61223045,61502767,61517877,61735658,62108647,62702762,62956904,63312631,63426578,64783860,64788777,65197374,65249892,65318721,65493007,65829938,66277231,66308882,66548138,66631985,66920108,66937145,67074174,67277518,67283775,67436588,67541767,67734950,67735231,68131221,68151252,68217631,68457002,68468684,69102784,69378152,69450630,70446344,70668897,70826517,70849240,70885807,71140342,71769360,72250085,72523941,72525761,73370121,73405231,73467654,73866031,73917897,74037460,74080672,74362802,74466284,74597162,74782231,75766802,76002188,76143031,76413247,76553984,77220007,77740632,78046028,78050421,78109567,78246357,78791018,79008801,79022642,79100645,79252137,79254122,79517887,79705395,79954207,79958382,80301967,80324574,80388727,80740530,81272684,81281940,81898745,82360545,82797068,83295727,83340756,84081938,84538418,84766442,85019088,85222058,85487974,85873687,86037631,86123232,86175308,86201287,86338025,86446231,86700102,86700736,87265202,87354668,87458211,87500167,87619317,87851248,87859628,88701127,88844952,89071538,89413927,89521682,89807407,90597185,90715628,90822031,91737185,92116145,92391308,92433578,93150425,93703841,94016887,94611031,94656938,94878482,94887375,94920774,95188550,95440857,95646474,95733068,95763218,96110740,96535545,96808222,96888636,97377657,97538328,97898348,98079127,98278494,98622698,98832654,98920231,99267631,99661265,99950571,99957031,...,965631044094226643538639791617860794365926254460111572791239610825696296527925467287804792063530696804783002751264575742347801813273571805486552276818778887635151041032962970999748892740511374801396900651385188349521829084075635597221367225710423262305267933749024909247471132922906442322205168527059900486223272600738356056516078325155853919189482960268537713188203126311713676919732513160942679892544472331249574409858076413942823242245749221430625882374935672377047011849706161508615625637028866193959495338813575365508190564870347291436368249947853612816678500310351763934467611190782181121530864921468434735187106470006780265250157352676137057862450986828721673330466719024531014747214587875171026008748959500156530729871895906693508584736941508593354150675860558281691428903101039552880600444484277530746199547443405630448608980276160518018124138324267874516347342656360928583835296733571814387944487222537299132139539346184423518062420434326117963845370606523093201940193390344587332719637639092140993829887789034475687520394053794288119255387868402596112794131711538263641403825594647194093674950799417740977145956025381600707432393683952423888119700444232563714187497609239467794952017469605654271074290457594962297537582501967441588950859941216942137050447963233260476810712569590060486510438747896450723449394281051392912426582558671713283759345620273021452692168323675877441948406019673196707842069710570730871529171587348258923853797892918030089335993062746040883291271594641448664348622233027417734149263846224644783017608475621511509405916619720122667045210941525042976940120213236487554734631312299415745568802031278941706303978214782360374315835917178239054444963954710246243952940005605337870303716154156479404657640462464393565613667323080106167277061388965385187350082907818469937978424860223218792942185770332467239935616973841713716287915648443074801576500961220130377765902393983993862553426274033862772000997339628169756901432399815981931070715282134588242503350988978907018102195982242987588178374042655560158729359926176510485023020041998103663739865199008889374821166825270531178531557554393178739411261346804838825001384897935442070835195704100828309616468916103306176827472133856385515526126936455833376054876290179207532012643248926450762717534874976715993241543456885970388543241138717696795368477806942040984864986206736379586218546647981386050742959409623286562740354843259486371835498185191646648336023346811445001520843912768290205746629070071774728503892982368382964032486930632605341864501467125545502184878783433957780883415092440636271402889861947303319238759061357229429392912380729856920416562269061084626904719599965400266380296279790018344719515887665968760076721881613711310486836200509397142067190374117917060581306229381429178883184498028557175028671395927350063023409734040976631960899252732211165240355009292867404015165174347128633170385894569779714059246171616186510338936304680578312359973553008412843554410832472722479024903855735613321620601664034766397997586192265162693009582214914113722091587109843182644061220816769605401625529988021313955248107972062129405467820707400826192759802634065808935831924506443929253720012328256125958562240800164105284380293714816393867938403785987090097576676165901496024385373397811280125012467703160885378919235649901927303596597067482677474720543809492554069156571741440151410450446687432350379759321070019811728042982616441093676551339726981907344699651845010505050904009524254750272419685425042820277560494395287764457195051404411656671113712245811471838373810865922630922893983229714556073703504646977833098484577279373385738066764370023645506276760729364000160569983684}
23033  23613933404545270291794002108014165315513174162103873842213987966770271058548: {92116,184216,207243,805735,897663,966882,1151050,1265935,1311627,1381260,1473344,1519122,1657512,1864701,1955935,2255666,2347122,2552223,2784331,3222380,3703483,3866856,4188002,4350213,4603400,4615563,4807627,5083663,5178825,5290690,5524080,5892352,5982860,6214590,6348828,6628896,7087388,7179432,7334767,7457508,7495167,7691935,8076861,8522983,8603122,8990263,9230322,9978962,10124840,11390445,12149808,12175690,12237596,12262735,13329883,13668534,14036503,14255660,14289751,14542135,14610828,14715282,14902987,15257883,15406831,15550028,16600946,16793263,16913085,17106792,17272135,17450562,17482280,17611087,17895967,17953735,18040624,18670316,19042690,19088935,19245141,19550023,19610402,19667565,19937467,20134625,20295702,20413930,20652727,20689663,20726562,20978736,21331263,21544482,21898856,22540107,22851228,22906722,23121727,23601078,23754082,23860711,24071935,24161550,24496716,24636213,24749023,24823003,25465231,25754187,25772320,26315432,26671880,26722171,27303007,27458335,27499628,27674983,27755967,28014860,28472263,28585135,28632367,28763750,28886322,28993860,29183431,29328825,29604861,29706956,29803378,30005865,30804391,30926784,30947583,30950107,31284080,31345563,31510135,32006256,32024362,32935323,32950002,33052082,33617832,33650383,33728907,34086730,34302162,34516500,34792632,34876735,35194590,35324935,35355163,36007038,36817600,36894603,37540896,37563535,37812162,37820061,37934876,37988731,38122651,38174530,38234335,38511223,38640586,38866143,39141711,39217388,39535690,39574855,40586167,40690855,40904076,40961431,40986187,41375722,41419800,41750445,41852082,41882962,41962747,42233508,42389922,42446671,43958733,44032855,44181120,44301127,44357727,44533808,44566591,44991223,45076242,45809436,45881202,46255855,46367803,46537832,46569931,46597275,46919287,47126528,47217260,47442828,47489826,48642843,48829026,49168447,49419147,49613863,49641682,49703760,50071471,50100534,50194587,50391271,50581983,50749916,51367628,51574735,52016935,52168802,52273423,52331825,52355061,52677122,52839426,52944331,53017344,53159816,54004855,54058351,54192680,54266683,54460930,54601258,54887335,55087291,55170847,55384402,55507026,55916730,56024840,56660712,56946802,57134667,57412807,57806762,58284543,58516330,58667403,59548831,59644512,59804793,59896507,60196683,60464936,60705883,60960027,60966765,61010671,61485535,61640551,61889682,61993085,62103423,62420322,62798190,63027945,63286028,63325663,63743301,64004763,64437391,64600076,64805826,64820588,65031216,65353116,65521947,65864335,65864802,66723031,66984736,67100076,67229808,67820731,68023053,68168703,68405287,68545947,69021823,69355855,70219596,70292431,70428927,70662535,70786507,71556123,71673967,71703031,71931423,71987530,72402535,72499880,73118587,73160118,73705855,73782642,73922935,74295247,74391702,74526860,74759750,74912242,74971138,75357828,75432751,75633534,75863144,76790667,76869842,77189911,77739333,78187087,78344647,78510946,78696130,79037202,79389307,79392063,79560247,80503707,80979825,81562365,81755083,82023836,82522183,82617931,83065567,83227026,83335666,83458587,83650135,83961922,84195147,84255991,84295735,84795042,84930843,85053691,85189065,85346037,85404031,85585855,86378480,86385036,86567143,86722690,86883042,86929832,86999856,87091628,87606631,87642127,87985642,88023727,88057930,88422322,88447026,88561550,88627183,88707522,88709791,89432232,89691807,89711700,90099842,90243463,90551371,90841628,90868336,91812487,92542951,92546825,92600840,92603487,92879131,93082855,93119383,93318602,94054143,94225196,94398667,94435356,95002735,95139867,95378107,95692480,95886487,96698588,96784471,97175790,97557535,97637666,97796061,97826828,97874838,97956872,98280331,98557196,98634607,98744907,99184231,99463323,99684202,99781231,99822207,...,1448446566141339965307959687426791191548889381690167359186859416238544444791888200931707188095296045207174504126896863613521702719910357708229828415228168331452726561549444456499623339110767062202095350977077782524282743626113453395832050838565634893457901900623537363871206699384359663483307752790589850729334908901107534084774117487733780878784224440402806569782304689467570515379598769741414019838816708496874361614787114620914234863368623832145938823562403508565570517774559242262923438455543299290939243008220363048262285847305520937154552374921780419225017750465527645901701416786173271682296297382202652102780659705010170397875236029014205586793676480243082509995700078536796522120821881812756539013123439250234796094807843860040262877105412262890031226013790837422537143354651559329320900666726416296119299321165108445672913470414240777027186207486401811774521013984541392875752945100357721581916730833805948698209309019276635277093630651489176945768055909784639802910290085516880999079456458638211490744831683551713531280591080691432178883081802603894169191197567307395462105738391970791140512426199126611465718934038072401061148590525928635832179550666348845571281246413859201692428026204408481406611435686392443446306373752951162383426289911825413205575671944849890715216068854385090729765658121844676085174091421577089368639873838007569925639018430409532179038252485513816162922609029509795061763104565856096307293757381022388385780696839377045134003989594119061324936907391962172996522933349541126601223895769336967174526412713432267264108874929580184000567816412287564465410180319854731332101946968449123618353203046918412559455967322173540561473753875767358581667445932065369365929410008408006805455574231234719106986460693696590348420500984620159250915592083448077781025124361727704906967637290334828189413278655498700859903425460762570574431873472664612202364751441830195566648853590975990793830139411050794158001496009442254635352148599723972896606072923201882363755026483468360527153293973364481382267561063983340238094039889264765727534530062997155495609797798513334062231750237905796767797336331589768109116892020207258237502077346903163106252793556151242464424703374154959265241208200784578273289190404683750064082314435268811298018964873389676144076302312465073989862315185328955582814861708076545193052716710413061477297479310104569379327819971972079076114439114434929844110532264889229557753247277787469972504035020217167502281265869152435308619943605107662092755839473552574446048730395948908012796752200688318253277318175150936671325122638660954407104334792920954978858138592035844144089368571094785380624843403591626940357079399948100399570444419685027517079273831498953140115082822420566965730254300764095713100785561176875590871959344072143768324776747042835762543007093891025094535114601061464947941348879098316747860532513939301106022747761520692949755578841854669571088869257424279765508404457020867468539960329512619265331616248709083718537355783603419982430902496052149596996379288397744039514373322371170583137380664764773966091831225154408102438294982031970932872161958093194108201731061101239289139703951098713403747886759665893880580018492384188937843361200246157926570440572224590801907605678980635146365014248852244036578060096716920187518701554741328068378853474852890955394895601224016212080815714238831103734857612160227115675670031148525569638981605029717592064473924661640514827009590472861017049477767515757576356014286382125408629528137564230416340741592931646685792577106617485006670568368717207757560716298883946384340974844571834110555256970466749647726865919060078607100146555035468259415141094046000240854975526}
23034  23698681310043831653762871799812066925657011920664333198541983812174133196456: {115145,138174,161189,230270,276324,299273,391289,506462,529253,713093,942713,1196884,1289176,1334174,1401353,1450323,1630373,1676153,1726575,1748836,1841680,2025496,2071890,2210016,2224889,2278683,2486268,2590073,2710814,2909189,3129496,3260462,3383499,3402964,3520683,3591689,3727973,3954953,4027975,4083854,4136393,4833570,5086853,5155808,5177189,5718533,5754250,5800284,5853689,6000062,6154084,6282003,6438533,6663113,6905100,6977189,7111673,7201289,7365440,7478575,7648889,7909214,7936035,8181374,8286120,8465104,8675333,8838528,8859235,8974290,8986889,9321885,9520073,9523242,9572576,9943344,9993556,10406153,10450373,10538789,10631082,10769148,11068613,11186262,11333093,11773253,11976494,12307096,12656050,12786062,12904683,13176389,13307513,13325054,13482233,13845483,14132462,14397413,14614793,14968443,15187260,15296995,15439013,15785546,16011374,16199744,16217189,16562213,16734533,16863689,16949753,17508389,17616254,17819575,18224712,18263535,18356394,18949694,19133573,19161499,19431689,19437535,19481104,19516793,19620376,19644389,20154053,20343844,20502801,20789513,20810462,21338789,21383490,21423173,21676133,21852850,21916242,21970889,22072923,22135262,22475273,22550780,22685093,22809056,23026003,23267416,23325042,23337895,23456462,23939813,24064889,24606053,24901419,25228793,25300094,25435973,25601573,25660188,26056313,26175843,26223420,26468873,26551289,26839493,26874734,27060936,27373570,27635416,27783689,27906533,27971648,28005474,28192889,28397189,28441684,28564035,28682873,28705262,28725976,29415603,29496953,29740553,30053476,30443553,30468304,30528734,30542296,30620895,30752453,30954233,31089843,31236389,31468104,31719173,32215400,32316723,32521253,32662288,32848284,32894290,32921093,33160613,33339850,33359993,33638789,33896462,34276842,34314233,34338916,34360083,34374535,34412414,34829189,35018575,35026889,35401617,35421689,35631123,36130313,36242325,36679673,36745074,37007956,37133695,37239854,37968389,38515096,38658480,38667653,38967082,39105100,39132389,39473148,39595973,39711689,40007820,40404473,40720603,40788233,41235712,41249442,41263444,41553353,41575262,41794084,42022290,42082574,42125093,42277253,42391289,42675008,43073993,43145625,43329483,43490790,43716389,43913764,43933336,44206073,44544293,44560434,44656889,44705067,44823776,44862494,44971876,45106553,45736216,46022000,46390176,46514839,46926120,47337593,47418595,47448389,48009384,48036543,48375374,48442313,48991973,49021735,49192804,49393913,49425003,49578123,49940453,50054528,50267513,50370062,50416216,50426748,51130095,51453243,51612062,51774750,51821524,52107854,52188948,52252133,52359689,52791885,52860907,52906819,52967813,53003513,53591774,54010557,54495689,54538768,54672389,54778313,54824414,55025189,55095653,55226400,55667260,55802776,55895983,56311344,56519896,56672633,56707493,56718243,56902314,57229433,57261795,57278894,57541733,57645689,57714953,57960879,58164389,58172290,58611644,58681289,58826082,58853189,58908160,59021575,59143636,59303535,59470373,59607173,60101656,60289253,60493253,60730889,60798713,61079248,61137353,61174936,61356114,61902734,62063583,62129700,62148473,62778123,62824443,62918789,63152393,63257104,63319013,63319768,63350262,63437395,63584883,63817673,64209535,64413689,64644773,64857124,65036462,65105368,65237189,65892196,65892389,66271680,66316553,66380251,66449770,66800712,66926116,67442644,67614363,67677689,67740850,67774373,68224613,68714154,68801189,68821803,68897033,69097694,69279689,69502373,69806748,69851513,70031050,70073189,70168073,70231289,70452293,70452568,70641413,70689792,70825890,71164242,71234739,71551433,72050633,72485753,72578789,72882014,73042889,73135493,73243539,73412873,73443653,73873733,73904393,74009368,74271689,74462523,74555640,75150801,75336389,75547616,75581170,76063603,76124874,76179556,76181093,76451273,76862462,77051442,77712724,78223204,78253203,79015683,79107535,79259139,79509794,79526016,79555493,79701113,79739724,79878254,79991753,80262244,80750095,81025735,81280036,81289020,81461573,81492062,81604553,81691395,81901887,81946889,82519576,82571513,82656389,82712933,82804564,83076603,83098814,83135993,83227096,83260539,83304713,83585273,83641289,83730920,83875095,84037260,84560933,84671813,84991068,85086473,85306889,85339684,85420203,85663973,85712263,86407768,86455673,86482853,86618633,86708288,86710143,86744894,87137488,87294533,87362596,87536633,87751289,87774495,87819736,88328462,88896293,89004974,89344889,89466768,89607689,89639744,89817353,89904974,90000389,90078713,90443273,90624850,90697404,90891604,91167689,91394596,91630073,92140793,92369573,92698889,92834523,93077189,93158575,93259454,93284779,93626128,93630483,93653753,93712003,93905236,93952889,94197285,94370414,94593202,94621733,94828930,94929042,95309189,95408164,95674889,95908564,96232133,96801854,96900114,97119689,97191173,97208739,97230882,97242062,97523813,97546824,98029674,98113913,98184389,98231333,98301689,98376856,98605733,98722313,98778254,98797203,98815433,99001289,99188936,99279113,99302213,...,2172669849212009947961939531140186787323334072535251038780289124357816667187832301397560782142944067810761756190345295420282554079865536562344742622842252497179089842324166684749435008666150593303143026465616673786424115439170180093748076257848452340186852850935306045806810049076539495224961629185884776094002363351661301127161176231600671318176336660604209854673457034201355773069398154612121029758225062745311542422180671931371352295052935748218908235343605262848355776661838863394385157683314948936408864512330544572393428770958281405731828562382670628837526625698291468852552125179259907523444446073303978154170989557515255596812854043521308380190514720364623764993550117805194783181232822719134808519685158875352194142211765790060394315658118394335046839020686256133805715031977338993981351000089624444178948981747662668509370205621361165540779311229602717661781520976812089313629417650536582372875096250708923047313963528914952915640445977233765418652083864676959704365435128275321498619184687957317236117247525327570296920886621037148268324622703905841253786796350961093193158607587956186710768639298689917198578401057108601591722885788892953748269325999523268356921869620788802538642039306612722109917153529588665169459560629426743575139434867738119808363507917274836072824103281577636094648487182767014127761137132365634052959810757011354888458527645614298268557378728270724244383913544264692592644656848784144460940636071533582578671045259065567701005984391178591987405361087943259494784400024311689901835843654005450761789619070148400896163312394370276000851724618431346698115270479782096998152920452673685427529804570377618839183950983260310842210630813651037872501168898098054048894115012612010208183361346852078660479691040544885522630751476930238876373388125172116671537686542591557360451455935502242284119917983248051289855138191143855861647810208996918303547127162745293349973280386463986190745209116576191237002244014163381953028222899585959344909109384802823545632539725202540790729940960046722073401341595975010357141059833897148591301795094495733243414696697770001093347625356858695151696004497384652163675338030310887356253116020354744659379190334226863696637055061232438897861812301176867409933785607025625096123471652903216947028447310084514216114453468697610984793472777993433374222292562114817789579075065619592215946218965156854068991729957958118614171658671652394766165798397333844336629870916681204958756052530325751253421898803728652962929915407661493139133759210328861669073095593923362019195128301032477379915977262726405006987683957991431610656502189381432468287207888053766216134052856642178070937265105387440410535619099922150599355666629527541275618910747248429710172624233630850448595381451146143569651178341765313386307939016108215652487165120564253643814510640836537641802671901592197421912023318647475121790798770908951659034121642281039424633368262782004356633303886136419648262606685531301202809940494268928897997424373063625577806033675405129973646353744078224395494568932596616059271559983556755874706070997147160949137746837731612153657442473047956399308242937139791162302596591651858933709555926648070105621830139498840820870027738576283406765041800369236889855660858336886202861408518470952719547521373278366054867090145075380281278052332111992102568280212279336433092343401836024318121223571358246655602286418240340673513505046722788354458472407544576388096710886992460772240514385709291525574216651273636364534021429573188112944292206346345624511112389397470028688865659926227510005852553075811636341074448325919576511462266857751165832885455700124471590298878590117910650219832553202389122711641069000361282463289}
23035  23783731363442072925776637031041895346599494008324048761222709864878392418615: {184232,207261,345405,368432,414486,759693,1128029,1496105,1611470,1772309,1795326,1933764,2001261,2186045,2302100,2531870,2623254,2738309,2762520,2946688,3038244,3107835,3290573,3315024,3729402,3911870,4066221,4253705,4511332,4694244,4890693,5104446,5568662,5681741,6125781,6444760,7250355,7406966,7692605,7733712,7840613,8376004,8631375,8668361,8700426,9000093,9206800,9231126,9615254,10047941,10167326,10357650,10581380,10768709,11048160,11784704,11863821,11965720,12272061,12429180,12491945,12697656,13257792,13461435,14174776,14284863,14358864,14669534,14915016,14990334,15383870,15408173,15946623,16153722,16779393,17045966,17167829,17206244,17612621,17964741,17980526,18208073,18460644,18768941,18984075,19179093,19957924,19987581,20249680,20358989,21198693,22077053,22780890,23123741,23562461,23678319,24017061,24180989,24299616,24351380,24475192,24525470,25135229,25429805,25969493,26424381,26659766,26724509,27337068,27534591,28073006,28188475,28424541,28511320,28579502,28634861,29084270,29185973,29221656,29430564,29805974,30095273,30515766,30607013,30813662,31100056,31215693,31433609,31821941,32075235,32779275,32874363,33201892,33202893,33586526,33700709,33826170,34213584,34428437,34544270,34901124,34964560,34987563,35184693,35222174,35552105,35791934,35907470,36081248,37340632,37566845,37796729,37950141,38085380,38177870,38441669,38490282,39100046,39220804,39335130,39874934,40019189,40269250,40312101,40591404,40827860,40989773,41060355,41305454,41379326,41453124,41957472,42008211,42662526,42923645,43057893,43088964,43385213,43797712,44114189,44895773,45080214,45702456,45793101,45813444,46243454,46259945,47202156,47440397,47508164,47640149,47721422,48143870,48323100,48438221,48827429,48881375,48993432,49272426,49341435,49454909,49498046,49646006,50009775,50844693,50930462,51415263,51508374,51544640,51579305,51618621,51768809,52242605,52588949,52630864,53343760,53444342,53528069,54606014,54892205,54916670,54999256,55117611,55349966,55404797,55511934,55859781,56029720,56214845,56944526,56967197,57170270,57264734,57527500,57772644,57987720,58366862,58450623,58657650,58975733,59209722,59413912,59606756,60011730,60397733,60418157,61016009,61491005,61608782,61645997,61853568,61874163,61895166,61900214,62362893,62568160,62570573,62691126,63020270,63033435,63123861,64012512,64048724,64758197,64776905,65236185,65870646,65900004,66104164,66840651,67235664,67293741,67300766,67457814,68173460,68188397,68602553,68604324,68881349,69033000,69584075,69585264,69753470,69977813,70389180,70649870,70710326,70775741,70786781,70792733,72014076,72178229,72204629,72563061,72823709,73122893,73264555,73635200,73789206,73929545,74103593,75081792,75127070,75555093,75606797,75624324,75640122,75869752,75977462,76245302,76349060,76468670,76715309,76842269,77022446,77281172,77418093,77662125,77732286,78161781,78283422,78434776,79071380,79149710,79396253,80151773,80387661,81071405,81172334,81381710,81808152,81808709,81922862,81972374,82191689,82236621,82365245,82751444,82839600,83072873,83500890,83656781,83657645,83704164,83765924,83925494,84303305,84467016,84779844,84893342,85353471,85918341,86079749,86271077,86790319,87258435,87917466,88065710,88239123,88362240,88602254,88715454,89067616,89133182,89982446,90066749,90152484,91618872,91762404,92034171,92210069,92402921,92511710,92735606,92854101,92937053,93075664,93139862,93194550,93317369,93620909,93838574,94253056,94434520,94885656,94979652,95025393,95224445,97098197,97140905,97285686,97554693,97639373,97658052,97779005,98336894,98838294,98927549,99146237,99227726,99283364,99407520,99674655,...,2896893132282679930615919374853582383097778763380334718373718832477088889583776401863414376190592090414349008253793727227043405439820715416459656830456336662905453123098888912999246678221534124404190701954155565048565487252226906791664101677131269786915803801247074727742413398768719326966615505581179701458669817802215068169548234975467561757568448880805613139564609378935141030759197539482828039677633416993748723229574229241828469726737247664291877647124807017131141035549118484525846876911086598581878486016440726096524571694611041874309104749843560838450035500931055291803402833572346543364592594764405304205561319410020340795750472058028411173587352960486165019991400157073593044241643763625513078026246878500469592189615687720080525754210824525780062452027581674845074286709303118658641801333452832592238598642330216891345826940828481554054372414972803623549042027969082785751505890200715443163833461667611897396418618038553270554187261302978353891536111819569279605820580171033761998158912917276422981489663367103427062561182161382864357766163605207788338382395134614790924211476783941582281024852398253222931437868076144802122297181051857271664359101332697691142562492827718403384856052408816962813222871372784886892612747505902324766852579823650826411151343889699781430432137708770181459531316243689352170348182843154178737279747676015139851278036860819064358076504971027632325845218059019590123526209131712192614587514762044776771561393678754090268007979188238122649873814783924345993045866699082253202447791538673934349052825426864534528217749859160368001135632824575128930820360639709462664203893936898247236706406093836825118911934644347081122947507751534717163334891864130738731858820016816013610911148462469438213972921387393180696841001969240318501831184166896155562050248723455409813935274580669656378826557310997401719806850921525141148863746945329224404729502883660391133297707181951981587660278822101588316002992018884509270704297199447945793212145846403764727510052966936721054306587946728962764535122127966680476188079778529531455069060125994310991219595597026668124463500475811593535594672663179536218233784040414516475004154693806326212505587112302484928849406748309918530482416401569156546578380809367500128164628870537622596037929746779352288152604624930147979724630370657911165629723416153090386105433420826122954594958620209138758655639943944158152228878228869859688221064529778459115506494555574939945008070040434335004562531738304870617239887210215324185511678947105148892097460791897816025593504401376636506554636350301873342650245277321908814208669585841909957716277184071688288178737142189570761249686807183253880714158799896200799140888839370055034158547662997906280230165644841133931460508601528191426201571122353751181743918688144287536649553494085671525086014187782050189070229202122929895882697758196633495721065027878602212045495523041385899511157683709339142177738514848559531016808914041734937079920659025238530663232497418167437074711567206839964861804992104299193992758576795488079028746644742341166274761329529547932183662450308816204876589964063941865744323916186388216403462122202478578279407902197426807495773519331787761160036984768377875686722400492315853140881144449181603815211357961270292730028497704488073156120193433840375037403109482656136757706949705781910789791202448032424161631428477662207469715224320454231351340062297051139277963210059435184128947849323281029654019180945722034098955535031515152712028572764250817259056275128460832681483185863293371585154213234970013341136737434415515121432597767892768681949689143668221110513940933499295453731838120157214200293110070936518830282188092000481709951052}
23036  23869084634872432781100033819560158283694634999013107557017854114275273412165: {161203,230290,276348,322378,437323,460540,552648,598546,621729,782578,988699,1012924,1058506,1426186,1676299,1885426,2393768,2417205,2578352,2668348,2692989,2802706,2877625,2900646,3260746,3352306,3453150,3497672,3683360,3797805,3934881,4050992,4143780,4420032,4449778,4557366,4972536,5180146,5222803,5421628,5594103,5639165,5818378,5867805,6258992,6520924,6766998,6805928,7041366,7183378,7455946,7649563,7656669,7909906,8055950,8167708,8272786,8319523,8352993,8987683,9667140,10173706,10311616,10354378,10451299,10470005,10981363,11110449,11437066,11508500,11600568,11707378,12000124,12308168,12402929,12564006,12877066,13050639,13226725,13326226,13810200,13846689,13954378,14223346,14402578,14422881,14730880,14957150,15250989,15297778,15536475,15818428,15872070,16348099,16362748,16572240,16865203,16930208,17350666,17677056,17718470,17948580,17973778,18643770,19040146,19046484,19145152,19433443,19561099,19886688,19987112,20071003,20812306,20900746,21077578,21262164,21415793,21507805,21538296,21972883,22004301,22137226,22225243,22372524,22485501,22666186,22729099,22854883,23075805,23546506,23952988,23983699,24230583,24614192,24947405,25312100,25568949,25572124,25809366,26352778,26615026,26650108,26964466,26965363,26970789,27211963,27212549,27690966,27827203,28195483,28264924,28794826,29229586,29936886,30374520,30439225,30593990,30616993,30755299,30878026,31239283,31480843,31571092,32022748,32399488,32434378,32673053,33124426,33163699,33283363,33469066,33727378,33899506,34171335,35016778,35232508,35425003,35639150,36449424,36527070,36712788,36722299,36788205,37309099,37426243,37899388,38010883,38267146,38322998,38863378,38875070,38962208,39033586,39240752,39288778,39522523,39638299,39754003,39989649,40308106,40687688,41005602,41502365,41579026,41620924,42109509,42395323,42677578,42766980,42846346,42869253,43078099,43352266,43626405,43705700,43758283,43832484,43941778,44145846,44270524,44661163,44708961,44950546,45101560,45370186,45447403,45618112,45773649,46052006,46220493,46534832,46650084,46675790,46912924,47452963,47563699,47606725,47879626,48124349,48129778,49026005,49212106,49802838,50199763,50379789,50457586,50600188,50739255,50852299,50871946,51034825,51203146,51320376,51394099,51816405,51987173,52112626,52351686,52364803,52446840,52833261,52937746,53008699,53102578,53678986,53687901,53749468,53861205,53969683,54121872,54501043,54607099,54713083,54747140,55136299,55270832,55567378,55768963,55813066,55943296,56010948,56084323,56385778,56713099,56794378,56883368,57128070,57266805,57365746,57410524,57451952,57735423,58170163,58650069,58831206,58993906,59002695,59385205,59481106,59812401,60106952,60403875,60887106,60936608,61057468,61084592,61241790,61504906,61908466,61953043,61958181,62068989,62179686,62471981,62472778,62936208,62958523,63438346,63757723,63993789,64430800,64453243,64633446,65042506,65324576,65440723,65696568,65788580,65842186,66058889,66321226,66386033,66679700,66719986,67277578,67297099,67620321,67792924,68553684,68628466,68630429,68677832,68720166,68749070,68824828,68840203,69127483,69318643,69365181,69658378,70037150,70053778,70080403,70175299,70803234,70843378,71262246,71582133,71909375,71964643,72215805,72260626,72484650,72617323,73359346,73451299,73490148,73908639,73912099,74015912,74247069,74267390,74469009,74479708,74508445,75646723,75936778,76395693,76549243,76997803,77030192,77262561,77316960,77335306,77934164,78210200,78264778,78774043,78946296,79191946,79423378,79738699,80015640,80060905,80166513,80808946,81384403,81441206,81576466,81909021,82375005,82471424,82498884,82526888,82630205,83024949,83106706,83150524,83173099,83267901,83588168,83594299,83678323,84044580,84165148,84250186,84554506,84764083,84782578,84847099,85216825,85343683,85350016,85416789,85591003,85755405,85897101,86147986,86291250,86492299,86573803,86658966,86981580,87304099,87432778,87550293,87707299,87827528,87866672,87986475,88412146,88812353,88814583,88906099,88985443,89088586,89120868,89313778,89410134,89647552,89724988,89893349,89943752,90010363,90017595,90088699,90213106,90479299,90945643,91177843,91472432,91563403,91640299,92044000,92413173,92709283,92780352,92842749,92850321,92860843,93029678,93852240,94036689,94286299,94530405,94675186,94837190,94896778,95393299,95436325,95685763,96018768,96073086,96601465,96750748,96772243,96884626,97273723,97983946,98043470,98195683,98266099,98336443,98385608,98787826,98805969,98839225,98850006,99156246,99244363,99313699,99728203,99880906,...,4345339698424019895923879062280373574646668145070502077560578248715633334375664602795121564285888135621523512380690590840565108159731073124689485245684504994358179684648333369498870017332301186606286052931233347572848230878340360187496152515696904680373705701870612091613620098153078990449923258371769552188004726703322602254322352463201342636352673321208419709346914068402711546138796309224242059516450125490623084844361343862742704590105871496437816470687210525696711553323677726788770315366629897872817729024661089144786857541916562811463657124765341257675053251396582937705104250358519815046888892146607956308341979115030511193625708087042616760381029440729247529987100235610389566362465645438269617039370317750704388284423531580120788631316236788670093678041372512267611430063954677987962702000179248888357897963495325337018740411242722331081558622459205435323563041953624178627258835301073164745750192501417846094627927057829905831280891954467530837304167729353919408730870256550642997238369375914634472234495050655140593841773242074296536649245407811682507573592701922186386317215175912373421537278597379834397156802114217203183445771577785907496538651999046536713843739241577605077284078613225444219834307059177330338919121258853487150278869735476239616727015834549672145648206563155272189296974365534028255522274264731268105919621514022709776917055291228596537114757456541448488767827088529385185289313697568288921881272143067165157342090518131135402011968782357183974810722175886518989568800048623379803671687308010901523579238140296801792326624788740552001703449236862693396230540959564193996305840905347370855059609140755237678367901966520621684421261627302075745002337796196108097788230025224020416366722693704157320959382081089771045261502953860477752746776250344233343075373085183114720902911871004484568239835966496102579710276382287711723295620417993836607094254325490586699946560772927972381490418233152382474004488028326763906056445799171918689818218769605647091265079450405081581459881920093444146802683191950020714282119667794297182603590188991466486829393395540002186695250713717390303392008994769304327350676060621774712506232040709489318758380668453727393274110122464877795723624602353734819867571214051250192246943305806433894056894620169028432228906937395221969586945555986866748444585124229635579158150131239184431892437930313708137983459915916237228343317343304789532331596794667688673259741833362409917512105060651502506843797607457305925859830815322986278267518420657723338146191187846724038390256602064954759831954525452810013975367915982863221313004378762864936574415776107532432268105713284356141874530210774880821071238199844301198711333259055082551237821494496859420345248467261700897190762902292287139302356683530626772615878032216431304974330241128507287629021281673075283605343803184394843824046637294950243581597541817903318068243284562078849266736525564008713266607772272839296525213371062602405619880988537857795994848746127251155612067350810259947292707488156448790989137865193232118543119967113511749412141994294321898275493675463224307314884946095912798616485874279582324605193183303717867419111853296140211243660278997681641740055477152566813530083600738473779711321716673772405722817036941905439095042746556732109734180290150760562556104664223984205136560424558672866184686803672048636242447142716493311204572836480681347027010093445576708916944815089152776193421773984921544481028771418583051148433302547272729068042859146376225888584412692691249022224778794940057377731319852455020011705106151623272682148896651839153022924533715502331665770911400248943180597757180235821300439665106404778245423282138000722564926578}
23037  23954742198232482716001350245919281522034804594740456106879659662719760525243: {345435,368464,414522,483567,575675,690810,736864,828972,897819,1173867,1266155,1519386,1587759,2094547,2139279,2256058,2828139,2992210,3060463,3222940,3335435,3544618,3590652,3867528,3888859,4002522,4204059,4350969,4372090,4604200,4891119,5028459,5063740,5179725,5246508,5476618,5525040,5819759,5893376,5955187,6076488,6215670,6581146,6630048,6647867,6674667,6777035,6836049,7458804,7770219,7823740,8132442,8151155,8507410,8727567,9022664,9266179,9388488,9781386,10150497,10208892,10209635,10562049,10769647,10775067,11137324,11183919,11363482,11864859,12083925,12251562,12409179,12889520,13393259,14385625,14500710,14813932,15000155,15260559,15385210,15467424,15531567,15681226,16752008,17155599,17262750,17336722,17400852,17488723,17561067,18000186,18209659,18355427,18413600,18462252,18846009,19230508,19315599,19773035,19989339,20095882,20334652,20453435,20715300,20931567,20946959,21162760,21335019,21537418,21603867,21663539,22096320,22435725,22455323,22946667,23029883,23569408,23727642,23808105,23931440,24544122,24858360,24983890,25395312,26025999,26515584,26577705,26922870,26960667,27965655,27989459,28349552,28560219,28569726,28717728,29339068,29830032,29941235,29980668,30609679,30691219,30767740,30816346,31218459,31295843,31351119,31436347,31616367,31640125,31893246,31965155,32307444,32364107,33205839,33312635,33558786,33999279,34091932,34335658,34412488,35225242,35319759,35331155,35601727,35929482,35961052,36416146,36921288,37465919,37495403,37537882,37968150,38358186,38714049,39463865,39529167,39915848,39922539,39975162,40028435,40446699,40499360,40717978,41536449,41991983,42243403,42397386,43192239,43489259,43844379,44004347,44040635,44154106,44905329,45561780,45890985,46247482,46317039,47124922,47227283,47356638,47374235,48034122,48361978,48442459,48599232,48651567,48702760,48950384,49050940,49686639,49772947,49855139,50203599,50270458,50591067,50681087,50849259,50859610,51938986,52026155,52525167,52593583,52848762,53319532,53449018,53458725,54632125,54674136,54790605,55069182,55338155,55484603,56146012,56374127,56376950,56849082,57022640,57136067,57159004,57269722,57400719,57484497,57932243,58168540,58295067,58312605,58371946,58443312,58550379,58641155,58861128,58933167,59519699,59611948,59907023,60093103,60190546,60462159,61031532,61214026,61508403,61627324,62200112,62368539,62431386,62867218,63250235,63643882,64016367,64150470,64269519,64367963,64763923,64879667,65028399,65558550,65748726,65912667,66218769,66403784,66405786,66998083,67094603,67173052,67186835,67401418,67425819,67652340,68055279,68194363,68427168,68433925,68856874,69078009,69088540,69802248,69929120,69975126,70013685,70369386,70444348,71061803,71104210,71379139,71583868,71763155,71814940,71819439,71949019,72085427,72162496,72194667,72211027,73139647,73818159,74681264,74704257,75133690,75593458,75686379,75900282,76170760,76307919,76321835,76355740,76804719,76849087,76883338,76980564,78168939,78200092,78441608,78527529,78670260,78700783,79186283,79406619,79653867,79749868,80038378,80518479,80538500,80624202,81182808,81655720,81979546,82120710,82235725,82610908,82758652,82906248,83349625,83351067,83587643,83664139,83719599,83914944,84016422,84578667,84741155,85191567,85325052,85692105,85847290,86031035,86048619,86087407,86115786,86177928,86565743,86770426,86909723,87595424,88228378,88246809,88490859,89221659,89360207,89791546,90160428,90259307,90663547,90687667,90866483,91330659,91404912,91433263,91586202,91626888,91862685,92257359,92486908,92519890,92862699,93099635,93269529,93709167,94404312,94880794,95016328,95157519,95280298,95394959,95442844,95794883,95957423,96287740,96646200,96863723,96876442,96950169,97155323,97417705,97563759,97654858,97762750,97986864,98544852,98682870,98763279,98773739,98909818,98996092,99292012,99481839,...,6518009547636029843885818593420560361970002217605753116340867373073450001563496904192682346428832203432285268571035886260847662239596609687034227868526757491537269526972500054248305025998451779909429079396850021359272346317510540281244228773545357020560558552805918137420430147229618485674884887557654328282007090054983903381483528694802013954529009981812629564020371102604067319208194463836363089274675188235934627266542015794114056885158807244656724706030815788545067329985516590183155473049944846809226593536991633717180286312874844217195485687148011886512579877094874406557656375537779722570333338219911934462512968672545766790438562130563925140571544161093871294980650353415584349543698468157404425559055476626056582426635297370181182946974355183005140517062058768401417145095932016981944053000268873332536846945242988005528110616864083496622337933688808152985344562930436267940888252951609747118625288752126769141941890586744858746921337931701296255956251594030879113096305384825964495857554063871951708351742575982710890762659863111444804973868111717523761360389052883279579475822763868560132305917896069751595735203171325804775168657366678861244807977998569805070765608862366407615926117919838166329751460588765995508378681888280230725418304603214359425090523751824508218472309844732908283945461548301042383283411397096902158879432271034064665375582936842894805672136184812172733151740632794077777933970546352433382821908214600747736013135777196703103017953173535775962216083263829778484353200072935069705507530962016352285368857210445202688489937183110828002555173855294040094345811439346290994458761358021056282589413711132856517551852949780932526631892440953113617503506694294162146682345037836030624550084040556235981439073121634656567892254430790716629120164375516350014613059627774672081354367806506726852359753949744153869565414573431567584943430626990754910641381488235880049919841159391958572235627349728573711006732042490145859084668698757878034727328154408470636897619175607622372189822880140166220204024787925031071423179501691445773905385283487199730244090093310003280042876070576085455088013492153956491026014090932662068759348061064233978137571002680591089911165183697316693585436903530602229801356821076875288370414958709650841085341930253542648343360406092832954380418333980300122666877686344453368737225196858776647838656895470562206975189873874355842514976014957184298497395192001533009889612750043614876268157590977253760265696411185958888789746222984479417401277630986585007219286781770086057585384903097432139747931788179215020963051873974294831969506568144297404861623664161298648402158569926534212811795316162321231606857299766451798066999888582623826856732241745289130517872700892551345786144353438430708953535025295940158923817048324646957461495361692760931443531922509612925408015704776592265736069955942425365372396312726854977102364926843118273900104788346013069899911658409258944787820056593903608429821482806786693992273119190876733418101026215389920939061232234673186483706797789848177814679950670267624118212991441482847413240513194836460972327419143869197924728811419373486907789774955576801128667779944210316865490418496522462610083215728850220295125401107710669566982575010658608584225555412858158642564119835098164601270435226140843834156996335976307704840636838009299277030205508072954363670714074739966806859254721022020540515140168365063375417222633729164290132660977382316721543157127874576722649953820909093602064288719564338832876619039036873533337168192410086066596979778682530017557659227434909023223344977758729534386800573253497498656367100373414770896635770353731950659497659607167368134923207001083847389867}
23038  24040705131198086734382557130403255192544252762263843469470460544024754120026: {253297,322406,391357,460580,552696,621783,644756,874646,921080,1036215,1105296,1197092,1243458,1565156,1977398,2025848,2117012,2279079,2316637,2852372,3000817,3137437,3352598,3384087,3770852,3819457,4028675,4091761,4488315,4787536,4834410,5156704,5178097,5316927,5336696,5385978,5605412,5719537,5755250,5801292,6003783,6124861,6329675,6521492,6558135,6704612,6906300,6995344,7068097,7202557,7366720,7595610,7869762,7873777,7894831,8101984,8141761,8214927,8287560,8840064,8899556,9077437,9114732,9323505,9477361,9779675,9871719,9945072,10360292,10445606,10540657,10843256,11188206,11278330,11636756,11735610,12198663,12517984,12521917,12761115,12784861,13041848,13533996,13611856,13921655,14082732,14356477,14366756,14486977,14658007,14672079,14911892,15299126,15313338,15819812,16111900,16335416,16545572,16639046,16705986,16952797,17045223,17975366,17983261,18377343,18517415,19334280,19520317,20347412,20539261,20623232,20708756,20902598,20920177,20940010,21427057,21751065,21962726,22220898,22874132,23017000,23077815,23201136,23317597,23414756,23521839,24000248,24038135,24319261,24616336,24805858,25128012,25418315,25754132,25894125,25937137,26005083,26101278,26453450,26556157,26652452,27000279,27620400,27693378,27908756,28279837,28446692,28805156,28845762,29461760,29914300,30110927,30143823,30501978,30595556,30838897,31072950,31080961,31322737,31636856,31744140,31925917,32306127,32696198,32725496,33144480,33724657,33730406,33860416,34677361,34701332,34926367,35033437,35354112,35436940,35591463,35897160,35947556,36183719,36215677,36673835,36686557,36816183,37287540,37475835,38080292,38092968,38290304,38442097,38459675,38866886,39122198,39139777,39773376,39950461,39974224,40142006,40384305,40757617,41102461,41624612,41675761,41801492,42155156,42524328,42589297,42614915,42831586,42854589,43015610,43076592,43945766,43950961,44008602,44274452,44450486,44740477,44745048,44951315,44971002,45332372,45458198,45709766,46151610,46224519,47087857,47093012,47839869,47905976,47967398,48461166,48745117,49228384,49512961,49731697,49894810,50338179,50624200,51137898,51144248,51503487,51618732,51903217,52705556,52837863,53230052,53300216,53894223,53928932,53930726,53941578,54423926,54425098,54624219,55106497,55381932,55634077,55654406,56264797,56306823,56390966,56474461,56529848,56952225,56997361,57310237,57537279,57589652,57726397,58103311,58459172,58555261,59873772,59962743,60749040,60810877,60878450,61076967,61187980,61233986,61313675,61510598,61622461,61756052,62127361,62478566,62961686,63142184,63596079,63989519,64045496,64798976,64868756,65118961,65346106,65611261,66231159,66248852,66327398,66566726,66649415,66938132,67454756,67755997,67799012,67852657,68342670,68636407,69371223,69675517,70033556,70182515,70245757,70465016,70687383,70850006,70907761,71034957,71278300,71448755,71847361,72051183,72542967,72710675,72779761,72898848,73054140,73094747,73425576,73444598,73576410,73830523,74348317,74514935,74618198,74852486,74896957,75405687,75798776,76021766,76167037,76257217,76289415,76534292,76645996,77034155,77333761,77512177,77726756,77750140,77908479,77924416,78045697,78067172,78222961,78481504,78577556,79045046,79273143,79276598,79508006,79718077,79979298,80173527,80414461,80616212,81106237,81375376,82011204,82305757,82603773,82730737,83004730,83139287,83158052,83241848,83659357,83966315,84219018,84565425,84790646,85273623,85325437,85355156,85533960,85692692,85738506,85904583,86156198,86360675,86704532,86881537,87252810,87367537,87411400,87516566,87557919,87664968,87883556,88055435,88291692,88541048,88730461,89127361,89322326,89417922,89479835,89768675,89901092,90203120,90285819,90740372,90852337,90894806,91236224,91239517,91470961,91547298,91821039,92084977,92104012,92440986,93069664,93148417,93300168,93351580,93647079,93825848,94123261,94300827,94905926,95012317,95127398,95213450,95444675,95465823,95745277,95759252,96225705,96248698,96259556,96687361,97750115,98052010,98253937,98337825,98424212,98623089,98954497,99024157,99605676,99608679,99687335,...,8690679396848039791847758124560747149293336290141004155121156497431266668751329205590243128571776271243047024761381181681130216319462146249378970491369009988716359369296666738997740034664602373212572105862466695145696461756680720374992305031393809360747411403741224183227240196306157980899846516743539104376009453406645204508644704926402685272705346642416839418693828136805423092277592618448484119032900250981246169688722687725485409180211742992875632941374421051393423106647355453577540630733259795745635458049322178289573715083833125622927314249530682515350106502793165875410208500717039630093777784293215912616683958230061022387251416174085233520762058881458495059974200471220779132724931290876539234078740635501408776568847063160241577262632473577340187356082745024535222860127909355975925404000358497776715795926990650674037480822485444662163117244918410870647126083907248357254517670602146329491500385002835692189255854115659811662561783908935061674608335458707838817461740513101285994476738751829268944468990101310281187683546484148593073298490815623365015147185403844372772634430351824746843074557194759668794313604228434406366891543155571814993077303998093073427687478483155210154568157226450888439668614118354660677838242517706974300557739470952479233454031669099344291296413126310544378593948731068056511044548529462536211839243028045419553834110582457193074229514913082896977535654177058770370578627395136577843762544286134330314684181036262270804023937564714367949621444351773037979137600097246759607343374616021803047158476280593603584653249577481104003406898473725386792461081919128387992611681810694741710119218281510475356735803933041243368842523254604151490004675592392216195576460050448040832733445387408314641918764162179542090523005907720955505493552500688466686150746170366229441805823742008969136479671932992205159420552764575423446591240835987673214188508650981173399893121545855944762980836466304764948008976056653527812112891598343837379636437539211294182530158900810163162919763840186888293605366383900041428564239335588594365207180377982932973658786791080004373390501427434780606784017989538608654701352121243549425012464081418978637516761336907454786548220244929755591447249204707469639735142428102500384493886611612867788113789240338056864457813874790443939173891111973733496889170248459271158316300262478368863784875860627416275966919831832474456686634686609579064663193589335377346519483666724819835024210121303005013687595214914611851719661630645972556535036841315446676292382375693448076780513204129909519663909050905620027950735831965726442626008757525729873148831552215064864536211426568712283749060421549761642142476399688602397422666518110165102475642988993718840690496934523401794381525804584574278604713367061253545231756064432862609948660482257014575258042563346150567210687606368789687648093274589900487163195083635806636136486569124157698533473051128017426533215544545678593050426742125204811239761977075715591989697492254502311224134701620519894585414976312897581978275730386464237086239934227023498824283988588643796550987350926448614629769892191825597232971748559164649210386366607435734838223706592280422487320557995363283480110954305133627060167201476947559422643433347544811445634073883810878190085493113464219468360580301521125112209328447968410273120849117345732369373607344097272484894285432986622409145672961362694054020186891153417833889630178305552386843547969843088962057542837166102296866605094545458136085718292752451777168825385382498044449557589880114755462639704910040023410212303246545364297793303678306045849067431004663331541822800497886361195514360471642600879330212809556490846564276001445129853156}
23039  24126974515236606723419475455604269393285061169494351706028792451901854945250: {23039,483609,575725,690870,736928,805945,829044,967134,1151350,1311969,1381620,1473728,1496365,1657944,1772617,1795638,1865187,1956445,2347734,2532310,2646265,2785057,2966097,3038772,3175518,3565465,4189094,4278558,4303057,4512116,4669609,4713565,5028897,5656278,5984420,6120926,6445880,6670870,6877897,7006765,7089236,7181304,7251615,7429969,7735056,7777718,8005044,8078967,8151865,8380765,8408118,8632875,8701938,8744180,9208400,9487849,9782238,10056918,10127480,10359450,10493016,10953236,11050080,11124445,11335549,11393415,11411617,11639518,11786752,11804643,11910374,12152976,12163297,12431340,12950365,13162292,13260096,13295734,13349334,13554070,13672098,14293489,14545945,14917608,15540438,15647480,15668409,15828397,16264884,16302310,16782309,16917495,16922257,17014820,17455134,17603415,17958445,18045328,18532358,18639865,18776976,19562772,19774765,20139875,20300994,20417784,20419270,20514889,20681965,21000217,21124098,21539294,21550134,22274648,22367838,22720297,22726964,22948689,22970007,23031889,23729718,23810557,24167850,24503124,24650029,24755497,24818358,24958569,25058979,25434265,25739281,25779040,25885945,26538109,26786518,26963049,26978017,27682249,27991897,28592665,28634809,28771250,29001420,29268445,29627864,30000310,30521118,30770420,30812449,30934848,31063134,31298569,31353897,31362452,31410015,31992697,32192665,32944089,33315565,33331347,33454177,33504016,34311198,34525500,34673444,34801704,34831837,34885945,34977446,35122134,35558365,36000372,36006445,36171649,36419318,36710854,36827200,36924504,37208787,37392875,37692018,37998697,38244445,38461016,38521297,38631198,39151917,39355357,39498217,39546070,39680175,39978678,40191764,40669304,40906870,41430600,41540067,41676529,41863134,41893918,41917729,41995657,42325520,42670038,43074836,43207734,43268643,43327078,43376665,44192640,44296175,44312749,44578249,44751217,44871450,44910646,44934445,45752967,45893334,46059766,46609425,46637689,47138816,47455284,47600365,47616210,47862880,48557629,49044297,49088244,49181329,49463617,49626889,49716720,49967780,50084569,50484337,50595609,50790624,51396397,52030765,52051998,52251865,52287097,52693945,52958257,53031168,53155410,53845740,53921334,55249411,55343065,55931310,55978918,56039809,56665465,56699104,57120438,57139452,57365437,57427849,57435456,58191169,58300329,58678136,58683297,58709857,58866265,59159101,59660064,59882470,59961336,60213009,60408337,61219358,61382438,61535480,61632692,61656889,62436918,62591686,62702238,62872694,62887297,63232734,63280250,63342289,63786492,63930310,64247379,64523415,64614888,64728214,64747801,65881945,65918649,66012903,66323929,66411678,66537565,66625270,66675729,67117572,67411165,67456503,67998558,68183864,68187297,68423209,68564649,68671316,68824976,69227415,69322297,70450484,70639518,70662310,70799209,71203454,71721817,71858964,71922104,71951097,71987065,72390061,72512569,72691749,72832292,72836617,73073965,73137769,73842576,74842215,74931838,74990806,75075764,75936300,75962617,76071229,76484975,76487377,76706847,76716372,76728817,77195065,77428098,77473417,77714857,78927730,79058334,79788001,79831696,79845078,79950324,80056870,80893398,80896089,80912367,80998720,81085945,81435956,81635889,81637647,81823057,82097617,82543849,82639777,82811065,83072898,83481609,83672665,83983966,84115537,84318445,84486806,84586449,84748765,84794772,85581037,85675897,86384478,86978518,87064681,87541945,87665089,87688758,88008694,88081270,88308212,88550329,89097875,89519881,89810658,91077277,91123560,91317675,91781970,91850979,92193001,92265897,92494964,92567329,92634078,92903497,93583789,93717849,94061569,94249844,94442529,94454566,94713276,94748470,95667865,95807495,95911609,96068244,96723956,96872281,96884918,97133137,97158445,97187675,97198464,97303134,97405520,97583965,97900768,98019159,98101880,98221945,98660449,98782381,99210217,99373278,99491097,99545894,99710278,99850089,...,13036019095272059687771637186841120723940004435211506232681734746146900003126993808385364692857664406864570537142071772521695324479193219374068455737053514983074539053945000108496610051996903559818858158793700042718544692635021080562488457547090714041121117105611836274840860294459236971349769775115308656564014180109967806762967057389604027909058019963625259128040742205208134638416388927672726178549350376471869254533084031588228113770317614489313449412061631577090134659971033180366310946099889693618453187073983267434360572625749688434390971374296023773025159754189748813115312751075559445140666676439823868925025937345091533580877124261127850281143088322187742589961300706831168699087396936314808851118110953252113164853270594740362365893948710366010281034124117536802834290191864033963888106000537746665073693890485976011056221233728166993244675867377616305970689125860872535881776505903219494237250577504253538283883781173489717493842675863402592511912503188061758226192610769651928991715108127743903416703485151965421781525319726222889609947736223435047522720778105766559158951645527737120264611835792139503191470406342651609550337314733357722489615955997139610141531217724732815231852235839676332659502921177531991016757363776560461450836609206428718850181047503649016436944619689465816567890923096602084766566822794193804317758864542068129330751165873685789611344272369624345466303481265588155555867941092704866765643816429201495472026271554393406206035906347071551924432166527659556968706400145870139411015061924032704570737714420890405376979874366221656005110347710588080188691622878692581988917522716042112565178827422265713035103705899561865053263784881906227235007013388588324293364690075672061249100168081112471962878146243269313135784508861581433258240328751032700029226119255549344162708735613013453704719507899488307739130829146863135169886861253981509821282762976471760099839682318783917144471254699457147422013464084980291718169337397515756069454656308816941273795238351215244744379645760280332440408049575850062142846359003382891547810770566974399460488180186620006560085752141152170910176026984307912982052028181865324137518696122128467956275142005361182179822330367394633387170873807061204459602713642153750576740829917419301682170683860507085296686720812185665908760836667960600245333755372688906737474450393717553295677313790941124413950379747748711685029952029914368596994790384003066019779225500087229752536315181954507520531392822371917777579492445968958834802555261973170014438573563540172115170769806194864279495863576358430041926103747948589663939013136288594809723247328322597296804317139853068425623590632324642463213714599532903596133999777165247653713464483490578261035745401785102691572288706876861417907070050591880317847634096649293914922990723385521862887063845019225850816031409553184531472139911884850730744792625453709954204729853686236547800209576692026139799823316818517889575640113187807216859642965613573387984546238381753466836202052430779841878122464469346372967413595579696355629359901340535248236425982882965694826481026389672921944654838287738395849457622838746973815579549911153602257335559888420633730980836993044925220166431457700440590250802215421339133965150021317217168451110825716317285128239670196329202540870452281687668313992671952615409681273676018598554060411016145908727341428149479933613718509442044041081030280336730126750834445267458328580265321954764633443086314255749153445299907641818187204128577439128677665753238078073747066674336384820172133193959557365060035115318454869818046446689955517459068773601146506994997312734200746829541793271540707463901318995319214334736269846414002167694779734}
23040  24213551435620153677803893501484266837493692145670848147493261546264736999748: {253319,299351,437399,506594,529391,644812,667319,782714,851111,921160,1036305,1080671,1105392,1243566,1289512,1450701,1539191,1727025,1749292,1813919,1842160,2072430,2210592,2225471,2362511,2394184,2486916,2693457,3130312,3183239,3521601,3728951,3798465,3954796,4051696,4092119,4137479,4234024,4558158,4633274,4763277,5088191,5223719,5314031,5640145,5704744,5855231,5990351,6001634,6170399,6274874,6283641,6417837,6705196,6768174,7113551,7480525,7516679,7541704,7638914,7919159,8057350,8183522,8484417,8811239,8861545,8976630,8989271,9078239,9181389,9478199,9522599,9575072,9668820,10006305,10313408,10356194,10541591,10633854,10673392,10771956,10930225,11071559,11210824,11247959,11439074,11468279,11510500,11602584,11666577,12007566,12249722,12523031,12612177,12659350,12829799,13042984,13052907,13116270,13179911,13311071,13409224,13442159,13616831,13691545,13812600,13990688,14136194,14140079,14401271,14405114,14673357,14733440,14749079,15052991,15085377,15191220,15443159,15539175,15739524,15747554,15789662,16203968,16283522,16351031,16429854,16452865,16575120,16868231,16954319,17126399,17459277,17680128,17799112,17865561,18027719,18154874,18229464,18647010,18954722,19490317,19522079,19559350,19564631,19649711,19743438,19890144,19943601,20024001,20074631,20159519,20331105,20508147,20541119,20720584,20891212,20922071,21081314,21268525,21344591,21555551,21686512,22229279,22313351,22376412,22556660,23068559,23273512,23310657,23361551,23471220,24071471,24196511,24397326,24453465,24737519,25035968,25043834,25522230,25569722,25815479,25924381,26083696,26182701,26228639,26682191,26970311,27067992,27223712,27798537,27843310,27914231,28037039,28165464,28282439,28323311,28408705,28712954,28733512,28813151,28973954,29316014,29344158,29626991,29823784,30451491,30598252,30626676,30628905,30760991,30841751,30882119,31083839,31325639,31365911,31639624,31686147,31727999,31928879,31969031,32223800,32308941,32325201,32530319,32670832,32770391,33091144,33278092,33289559,33369311,33411972,33488879,33551757,33653389,33905594,34090446,34442831,34720199,35431631,35549951,35585641,35594577,35950732,35966522,36140471,36251775,36258359,36689999,36729191,36754686,37034830,37227537,38463025,38668560,39040634,39143471,39203065,39414119,39607199,39722951,40179777,40185239,40694824,40799831,41078522,41144639,41246464,41417512,41565191,41679719,41805196,41840354,41880020,42403391,42593351,42631319,42762577,42821039,42854114,43156875,43341805,43502130,43615679,43925452,44181119,44441796,44669711,44744759,44782271,44969711,45000465,45119519,45748264,45781677,46034000,46155630,46402272,46594701,46635194,46796039,46829512,47043678,47092391,47129399,47351279,47462111,47572871,47646671,47867879,48000496,48076270,48309431,48566471,48638522,49115951,49232672,49517759,49611716,50239705,50256024,50282159,50391071,50836630,50934551,51343369,51466797,51508264,51788250,51874274,51908279,52010166,52202556,52375031,52466169,52683201,52906900,53112314,53304479,53304904,53731631,53843545,53980271,54000558,54405599,54617831,54628977,54688511,54794471,54900359,55041431,55066281,55147151,55240800,55386756,55817512,55850111,56514959,56538027,56559674,56893384,57610312,57662831,57691524,57946797,58043519,58354271,58698791,58870751,58923520,59076839,59319105,59590799,59660881,59828600,59968017,60221854,60287646,60307319,60443399,60952559,61003956,61155719,61191112,61257191,61360305,61459919,61677794,62145900,62161922,62167199,62459725,62645474,62794701,62840877,62931841,63271511,63273712,63488280,63836999,63851834,64005057,64612254,64811601,64990617,65158439,65355551,65392396,65450992,65519591,65650679,65847071,66108479,66288960,67307175,67365969,67449314,67460812,67698431,67720832,67795151,67891799,68373959,68840001,68918231,69014039,69089649,69301031,69354722,69402664,69523799,69714431,69852734,69873071,70066874,70094831,70189751,70252991,70347791,70568711,70708224,70873880,70915079,71182926,71424315,71794320,71895112,72166439,72367438,72431354,72601391,73158311,73347670,73373114,73435799,73620431,73632366,74294951,74575080,74935199,74951670,75623977,75662591,75994439,76160584,76185936,76205111,76565351,76580608,76884194,76919350,77040865,77550071,77733772,78053951,78077997,78083519,78244396,78279554,79142639,79546752,79733115,79755671,79900922,79901111,79948448,80284012,80336231,80538671,80768610,80882001,80971151,81143639,81287159,81515234,81694129,82204922,82342991,82683071,82824431,83249224,83351522,83602984,83668391,83696399,83752391,83896965,83968377,84087671,84310312,84588431,84782471,85048656,85178594,85229830,85362239,85417271,85663172,85680657,85709178,85828991,85839145,86031220,86153184,86384701,86592719,86647031,86891039,87323231,87377111,87404039,87780191,87891532,87901922,88017204,88063105,88501199,88548904,88900972,89005079,89137199,89453471,89480954,89490096,89558639,89823705,89902630,89942004,90108671,90186959,90664744,90862439,90916396,90965879,91040365,91249679,91419532,91506839,91737599,91829037,92073657,92303220,92449038,92628839,93184031,93309181,93655377,93760319,93844705,93887529,94053357,94059311,94175714,94186024,94309041,94431431,94849101,94920375,95023079,95414951,95463791,95634479,95679738,95756159,95780471,95811952,95895465,95934796,96119999,96482039,96722399,96842279,96922332,97092321,97153031,97224551,97295999,97343591,97490234,97557359,97935791,98124239,98218271,98255521,98265239,98288711,98335631,98456768,98709839,99025922,99313559,99405959,99463394,99617517,99789620,99797231,99937905,...,19554028642908089531657455780261681085910006652817259349022602119220350004690490712578047039286496610296855805713107658782542986718789829061102683605580272474611808580917500162744915077995355339728287238190550064077817038952531620843732686320636071061681675658417754412261290441688855457024654662672962984846021270164951710144450586084406041863587029945437888692061113307812201957624583391509089267824025564707803881799626047382342170655476421733970174118092447365635201989956549770549466419149834540427679780610974901151540858938624532651586457061444035659537739631284623219672969126613339167711000014659735803387538906017637300371315686391691775421714632483281613884941951060246753048631095404472213276677166429878169747279905892110543548840923065549015421551186176305204251435287796050945832159000806619997610540835728964016584331850592250489867013801066424458956033688791308803822664758854829241355875866256380307425825671760234576240764013795103888767868754782092637339288916154477893487572662191615855125055227727948132672287979589334334414921604335152571284081167158649838738427468291605680396917753688209254787205609513977414325505972100036583734423933995709415212296826587099222847778353759514498989254381766297986525136045664840692176254913809643078275271571255473524655416929534198724851836384644903127149850234191290706476638296813102193996126748810528684417016408554436518199455221898382233333801911639057300148465724643802243208039407331590109309053859520607327886648249791489335453059600218805209116522592886049056856106571631335608065469811549332484007665521565882120283037434318038872983376284074063168847768241133398569552655558849342797579895677322859340852510520082882486440047035113508091873650252121668707944317219364903969703676763292372149887360493126549050043839178883324016244063103419520180557079261849232461608696243720294702754830291880972264731924144464707640149759523478175875716706882049185721133020196127470437577254006096273634104181984463225411910692857526822867116569468640420498660612074363775093214269538505074337321716155850461599190732270279930009840128628211728256365264040476461869473078042272797986206278044183192701934412713008041773269733495551091950080756310710591806689404070463230625865111244876128952523256025790760627945030081218278498863141255001940900368000633059033360106211675590576329943515970686411686620925569621623067527544928044871552895492185576004599029668838250130844628804472772931761280797089233557876666369238668953438252203832892959755021657860345310258172756154709292296419243795364537645062889155621922884495908519704432892214584870992483895945206475709779602638435385948486963694820571899299355394200999665747871480570196725235867391553618102677654037358433060315292126860605075887820476771451144973940872384486085078282794330595767528838776224047114329776797208209867827276096117188938180564931307094780529354821700314365038039209699734975227776834363460169781710825289464448420360081976819357572630200254303078646169762817183696704019559451120393369544533444039852010802872354638974324448542239721539584509382916982257431607593774186434258120460723369324866730403386003339832630950596471255489567387830249647186550660885376203323132008700947725031975825752676666238574475927692359505294493803811305678422531502470989007928923114521910514027897831090616524218863091012142224219900420577764163066061621545420505095190126251667901187492870397982932146950164629471383623730167949861462727280806192866158693016498629857117110620600011504577230258199790939336047590052672977682304727069670034933276188603160401719760492495969101301120244312689907311061195851978492978821502104404769621003251542169601}
23041  24300436981438884930719495843741187886253385322028941828206317303529130752198: {23041,46078,759891,806015,967218,1128323,1151450,1174071,1381740,1473856,1611890,1658088,1865349,1934268,2094911,2186615,2302700,2623938,2739023,2763240,2947456,2992730,3108645,3291431,3315888,3545234,3591276,3704771,3730374,3912890,4695468,4809299,4943495,4991651,5064620,5085431,5292530,5570114,5932194,6077544,6351036,6598991,6837237,6949911,7130930,8304083,8378188,8381495,8557116,8606114,9002451,9024232,9339218,9358151,9412311,9427130,9809471,10057794,10152261,11312556,11412611,11458371,11733071,11968840,12086025,12117311,12241852,12275283,12669143,12891760,13341740,13464945,13755794,14013530,14178472,14362608,14388125,14503230,14859938,15470112,15534291,15555436,15574223,15950781,16010088,16157934,16303730,16761530,16816236,16923731,17158611,17265750,17403876,17488360,18011349,18130511,18374583,18416800,18975698,18989025,19564476,19674405,19999031,20113836,20254960,20364323,20718900,20986032,21204291,21607671,21906472,22100160,22248890,22671098,22786830,22823234,23279036,23573504,23609286,23621331,23684493,23812631,23820748,24305952,24326594,24425283,24644781,24862680,25141823,25741523,25900730,26095811,26114015,26324584,26350031,26520192,26591468,26611799,26698668,27108140,27232311,27344196,27482279,27684671,27970515,28195825,28432083,28586978,28954751,29091890,29339025,29615157,29835216,31080876,31294960,31336818,31621971,31656794,31883111,32529768,32604620,33457091,33564618,33834990,33844514,34029640,34437443,34834871,34910268,35206830,35607971,35916890,36090656,36240323,36530951,36595989,37064716,37279730,37553952,37565751,37809551,38247815,38283345,38354583,39125544,39549530,40029731,40134671,40279750,40601988,40835568,40838540,40975823,41029778,41363930,41597615,41764965,42000434,42248196,43069431,43078588,43100268,43460931,43974021,43985399,44016237,44549296,44735676,44907551,44938415,45069731,45440594,45453928,45897378,45940014,46063778,46641791,46679711,47459436,47621114,47652611,48335700,48840323,49006248,49300058,49510994,49631231,49636716,49781711,49917138,50117958,50409023,50858391,50868530,51135669,51136751,51478562,51558080,51771890,51782351,51906431,52256495,52350025,53076218,53542223,53573036,53926098,53949783,53956034,54906815,55132029,55364498,55552245,55945571,55983794,56860823,57185330,57269618,57542500,58002840,58536890,58560951,59255728,60000620,60163751,60727331,61042236,61540840,61617783,61624898,61869696,62014645,62126268,62587031,62597138,62707794,62724904,62760531,62820030,62908223,63239039,63347831,63985394,64281171,64385330,65253195,65616899,65888178,66133625,66631130,66640511,66662694,66908354,67008032,68622396,69051000,69233445,69346888,69603408,69663674,69771890,69952791,69954892,70244268,70390391,70565517,70794323,71116730,71391671,72000744,72012890,72114405,72343298,72838636,72843071,72957783,73142051,73152611,73421708,73654400,73771523,73849008,74241119,74321351,74417574,74785750,75384036,75997394,76254945,76488890,76922032,77042594,77262396,77382479,77480291,77682375,77811411,78015249,78214631,78303834,78641951,78710714,78996434,79092140,79331651,79360350,79668471,79957356,80383528,81000837,81338608,81392471,81740495,81813740,81926351,82213223,82412771,82492679,82551071,82647059,82861200,83080134,83353058,83726268,83787836,83835458,83991314,84326015,84651040,84839511,85340076,86149672,86415468,86537286,86654156,86753330,87275711,88385280,88592350,88625498,89156498,89502434,89742900,89821292,89868890,90332781,90431469,90679511,91449299,91505934,91786668,91844831,92119532,92234723,92516691,93152591,93218850,93242883,93275378,93341951,93968211,94277632,94375631,94432019,94910568,95200730,95232420,95520071,95725760,95777751,96918381,97115258,97167215,97665191,97805495,98088594,98176488,98362658,98551139,98927234,99253778,99409271,99433440,99935560,...,26072038190544119375543274373682241447880008870423012465363469492293800006253987616770729385715328813729141074284143545043390648958386438748136911474107029966149078107890000216993220103993807119637716317587400085437089385270042161124976915094181428082242234211223672549681720588918473942699539550230617313128028360219935613525934114779208055818116039927250518256081484410416269276832777855345452357098700752943738509066168063176456227540635228978626898824123263154180269319942066360732621892199779387236906374147966534868721145251499376868781942748592047546050319508379497626230625502151118890281333352879647737850051874690183067161754248522255700562286176644375485179922601413662337398174793872629617702236221906504226329706541189480724731787897420732020562068248235073605668580383728067927776212001075493330147387780971952022112442467456333986489351734755232611941378251721745071763553011806438988474501155008507076567767562346979434987685351726805185023825006376123516452385221539303857983430216255487806833406970303930843563050639452445779219895472446870095045441556211533118317903291055474240529223671584279006382940812685303219100674629466715444979231911994279220283062435449465630463704471679352665319005842355063982033514727553120922901673218412857437700362095007298032873889239378931633135781846193204169533133645588387608635517729084136258661502331747371579222688544739248690932606962531176311111735882185409733531287632858402990944052543108786812412071812694143103848864333055319113937412800291740278822030123848065409141475428841780810753959748732443312010220695421176160377383245757385163977835045432084225130357654844531426070207411799123730106527569763812454470014026777176648586729380151344122498200336162224943925756292486538626271569017723162866516480657502065400058452238511098688325417471226026907409439015798976615478261658293726270339773722507963019642565525952943520199679364637567834288942509398914294844026928169960583436338674795031512138909312617633882547590476702430489488759291520560664880816099151700124285692718006765783095621541133948798920976360373240013120171504282304341820352053968615825964104056363730648275037392244256935912550284010722364359644660734789266774341747614122408919205427284307501153481659834838603364341367721014170593373441624371331817521673335921200490667510745377813474948900787435106591354627581882248827900759495497423370059904059828737193989580768006132039558451000174459505072630363909015041062785644743835555158984891937917669605110523946340028877147127080344230341539612389728558991727152716860083852207495897179327878026272577189619446494656645194593608634279706136851247181264649284926427429199065807192267999554330495307426928966981156522071490803570205383144577413753722835814140101183760635695268193298587829845981446771043725774127690038451701632062819106369062944279823769701461489585250907419908409459707372473095600419153384052279599646633637035779151280226375614433719285931227146775969092476763506933672404104861559683756244928938692745934827191159392711258719802681070496472851965765931389652962052779345843889309676575476791698915245677493947631159099822307204514671119776841267461961673986089850440332862915400881180501604430842678267930300042634434336902221651432634570256479340392658405081740904563375336627985343905230819362547352037197108120822032291817454682856298959867227437018884088082162060560673460253501668890534916657160530643909529266886172628511498306890599815283636374408257154878257355331506476156147494133348672769640344266387919114730120070230636909739636092893379911034918137547202293013989994625468401493659083586543081414927802637990638428669472539692828004335389559468}
23042  24387632245614347550225253296877413688529902212258305745076970479539994087963: {69117,299377,506638,598702,713341,874798,1013188,1058782,1289624,1334638,1450827,1565428,1702222,1727175,1814077,1842320,2072610,2161342,2210784,2417835,2487132,2579024,2878375,2901402,3078382,3454050,3498584,3627838,3684320,3935907,4137841,4144860,4421184,4450942,4489095,4725022,4788368,4973832,5317851,5386914,5595561,5869335,6260624,6330775,6366478,7043202,7457902,7596930,7896203,7909592,7938795,8103392,8184238,8274958,8355171,8455537,8468048,8898291,9116316,9266548,9523441,9526554,10176382,10447438,10472735,10628062,10696395,11248957,11280290,11409488,11710462,11980702,12003268,12173041,12340798,12406163,12549748,12567282,12835674,12909171,13410392,13487041,13536348,14008827,14140695,14227102,14793841,14961050,15033358,15054337,15083408,15086691,15277828,15302315,15838318,16114700,16367044,16481917,16677175,16740541,16968834,17127937,17622478,17723090,17953260,17978542,18156478,18362778,18927217,18956398,19045198,19150144,19168163,19337640,19444295,19566397,20012610,20331037,20626816,20633691,20712388,21020295,21083182,21267708,21346784,21543912,21754845,21852541,21860450,22143118,22289907,22421648,22495918,22861117,22878148,22936558,23021000,23034011,23112541,23205168,23333154,24015132,24236901,24455595,24499444,25046062,25142295,25224354,25318700,25610941,25659598,25898625,26085968,26105814,26231041,26232540,26359822,26622142,26818448,26884318,27233662,27383090,27625200,27981376,28080541,28272388,28280158,28325917,28463547,28802542,28810228,29098795,29346714,29466880,29498158,29775935,29913841,30105982,30170754,30382440,30884977,30886318,31078350,31368817,31479048,31495108,31579324,31971997,32407936,32567044,32702062,32859708,32905730,33150240,33172957,33239335,33292657,33373335,33736462,33885175,33908638,34006647,34180245,34234851,34252798,34485697,34918554,35360256,35413929,35553277,35598224,35731122,36055438,36309748,36458928,36489891,36732637,37294020,37436797,37909444,38837341,38851095,38980634,39044158,39118700,39129262,39299422,39486876,39649537,39765277,39772187,39780288,39887202,40048002,40149262,40319038,40662210,40755775,41016294,41082238,41441168,41782424,41844142,42162628,42293341,42537050,42635377,42689182,42880467,43111102,43373024,43637835,43657597,44222977,44458558,44626702,44752824,44786557,45113320,46137118,46330895,46547024,46621314,46723102,46942440,47005227,47133937,47317171,47485191,47577457,47909341,48142942,48393022,48794652,48906930,49475038,50071936,50087668,50346927,50537591,50752485,50766771,51044460,51048175,51139444,51630958,51733441,51848762,52167392,52365402,52457278,52810245,53364382,53848235,53875335,53940622,54135984,54447424,54623197,54729217,54884291,55258237,55597074,55686620,55828462,55919595,56074078,56330928,56564878,56646622,56817410,57425908,57467024,57626302,57947908,58632028,58688316,59253982,59322817,59324295,59630941,59647568,60419625,60449437,60678527,60902982,60958657,61196504,61253352,61257810,61466077,61521982,61544667,61683502,61764238,62045895,62167678,62651278,62731822,63000651,63177841,63279248,63372294,63455998,63857758,63938062,63976177,64447600,64617882,64650402,65060638,65341664,65540782,65853757,66147841,66182288,66556184,66579118,66738622,66823944,66966295,66977758,67103514,67306778,67317697,67811188,68160891,68180892,68380957,68573341,68846067,68885662,68910021,69053041,69095667,69339997,69440398,69530941,70196977,70335587,70863262,71099902,71171282,71189154,71431671,71706097,71901464,71928125,71933044,72080497,72280942,72503550,72516718,72639937,73011457,73379998,73458382,73474237,73509372,73950087,74069660,74266491,74455074,74875707,75000775,75176937,75380963,76302795,76926050,77217843,77337120,77657835,78081268,78091777,78286942,78406130,78828238,79214398,79445902,79614327,80359554,80370478,80889147,80934051,81389648,81496477,81599662,82157044,82289278,82492928,82835024,83046747,83130382,83359438,83610392,83680708,83705437,83760040,83975691,84124657,84291841,84708541,84806782,84874717,85186702,85262638,85525154,85642078,85701277,85708228,85777995,85904427,86313750,86602177,86683610,87004260,87231358,87413617,87443615,87736177,87805335,87850904,87977341,88362238,88377841,88883592,89014897,89339422,89373791,89489518,89564542,89939422,90000930,90118657,90196957,90239038,91048295,91305203,91496528,91563354,91670977,91747837,91777135,92068000,92311260,92437347,92512477,92804544,93189402,93270388,93592078,93659024,93795841,93895707,94061691,94087356,94184782,94230045,94258798,94702558,94924222,95145742,95293342,95499037,95735758,95791357,95978091,96000992,96152540,96517117,96547607,96577995,96618862,97132942,97277044,97947037,98159041,98231902,98300017,98370397,98465344,98651197,98832267,98861041,98865175,99035518,99223432,99348157,99417457,99946695,99994041,...,39108057285816179063314911560523362171820013305634518698045204238440700009380981425156094078572993220593711611426215317565085973437579658122205367211160544949223617161835000325489830155990710679456574476381100128155634077905063241687465372641272142123363351316835508824522580883377710914049309325345925969692042540329903420288901172168812083727174059890875777384122226615624403915249166783018178535648051129415607763599252094764684341310952843467940348236184894731270403979913099541098932838299669080855359561221949802303081717877249065303172914122888071319075479262569246439345938253226678335422000029319471606775077812035274600742631372783383550843429264966563227769883902120493506097262190808944426553354332859756339494559811784221087097681846131098030843102372352610408502870575592101891664318001613239995221081671457928033168663701184500979734027602132848917912067377582617607645329517709658482711751732512760614851651343520469152481528027590207777535737509564185274678577832308955786975145324383231710250110455455896265344575959178668668829843208670305142568162334317299677476854936583211360793835507376418509574411219027954828651011944200073167468847867991418830424593653174198445695556707519028997978508763532595973050272091329681384352509827619286156550543142510947049310833859068397449703672769289806254299700468382581412953276593626204387992253497621057368834032817108873036398910443796764466667603823278114600296931449287604486416078814663180218618107719041214655773296499582978670906119200437610418233045185772098113712213143262671216130939623098664968015331043131764240566074868636077745966752568148126337695536482266797139105311117698685595159791354645718681705021040165764972880094070227016183747300504243337415888634438729807939407353526584744299774720986253098100087678357766648032488126206839040361114158523698464923217392487440589405509660583761944529463848288929415280299519046956351751433413764098371442266040392254940875154508012192547268208363968926450823821385715053645734233138937280840997321224148727550186428539077010148674643432311700923198381464540559860019680257256423456512730528080952923738946156084545595972412556088366385403868825426016083546539466991102183900161512621421183613378808140926461251730222489752257905046512051581521255890060162436556997726282510003881800736001266118066720212423351181152659887031941372823373241851139243246135055089856089743105790984371152009198059337676500261689257608945545863522561594178467115753332738477337906876504407665785919510043315720690620516345512309418584592838487590729075290125778311243845768991817039408865784429169741984967791890412951419559205276870771896973927389641143798598710788401999331495742961140393450471734783107236205355308074716866120630584253721210151775640953542902289947881744768972170156565588661191535057677552448094228659553594416419735654552192234377876361129862614189561058709643400628730076078419399469950455553668726920339563421650578928896840720163953638715145260400508606157292339525634367393408039118902240786739089066888079704021605744709277948648897084479443079169018765833964514863215187548372868516240921446738649733460806772006679665261901192942510979134775660499294373101321770752406646264017401895450063951651505353332477148951855384719010588987607622611356845063004941978015857846229043821028055795662181233048437726182024284448439800841155528326132123243090841010190380252503335802374985740795965864293900329258942767247460335899722925454561612385732317386032997259714234221241200023009154460516399581878672095180105345955364609454139340069866552377206320803439520984991938202602240488625379814622122391703956985957643004208809539242006503084339202}
23043  24475138324912868060263553774062102640954369540990390528273839686004627090080: {46082,92156,759957,898053,1128421,1266485,1312197,1519782,1588173,1612030,1934436,1956785,2001957,2256646,2302900,2348142,2553333,2763480,2785541,2947712,3061261,3108915,3223780,3242013,3316176,3730698,3868536,3889873,4189822,4352103,4373230,4605400,4617573,5181075,5247876,5441757,5478046,5526480,5683717,5894912,5985460,6217290,6582862,6631776,6676413,6920893,7087533,7090468,7182552,7337957,7409542,7460748,7825780,8080371,8994173,9390936,9549717,9618598,9886990,9983302,10129240,10170862,10564803,10585060,11059633,11140228,11186853,11395395,11583185,11734093,11864388,12155088,12276357,12412437,12702072,13197982,13542877,13674474,13899822,14261860,14289831,14909477,15004085,15264573,15671157,15687185,15942093,16608166,16756376,16762990,16920435,17114232,17212228,17565693,17932541,17971053,18004902,18048464,18511197,18678436,18716302,18824622,18850923,18854260,19097285,19253511,19618942,20000773,20115588,20143375,20304522,20458805,20698673,21340653,22441575,22461197,22550037,22625112,22825222,22916742,23466142,23757477,23937680,24172050,24234622,24483704,24550566,24833813,25338286,25453251,25783520,25890485,26433717,26584635,26614117,26683480,26929890,26967813,27234717,27314897,27511588,27544167,28027060,28356944,28434597,28567797,28597685,28725216,28776250,29006460,29719876,30018915,30624305,30940224,31068582,31110872,31148446,31158077,31624773,31648375,31901562,32020176,32315868,32372573,32479057,32607460,32790675,33000341,33214677,33523060,33632472,33743877,33847462,34317222,34404837,34531500,34703681,34807752,34976720,34999731,35291057,35340485,36012785,36022698,36261022,36534133,36559621,36749166,36833600,37569093,37836531,37951396,37978050,38489397,38597441,39128952,39158721,39348810,39368885,39474155,39539733,39933213,39998062,40227672,40326477,40509920,40708805,40728646,40850493,41074635,41437800,41972064,42408582,42420237,43203813,43215342,43500677,43786733,43812944,44020071,44200320,44247237,44497780,44856397,44997557,45158973,45256131,45342196,45387185,45573660,45646468,46329477,46558072,46617525,47147008,47218572,47239637,47242662,47368986,47386805,47625262,47641496,48611904,48653188,48850566,48898375,49053093,49289562,49358595,49725360,50283646,50604693,50862957,51379197,51483046,51801460,52191622,52228030,52377831,52649168,52700062,52703285,53040384,53182936,53223598,53397336,53546941,53596683,54083157,54216280,54464622,54688392,54964558,55369342,55499117,55941030,56391650,56864166,57151013,57173956,57909502,57947441,58183780,58236661,58470951,58566237,58678050,58693893,58949133,59230314,59535293,59670432,59830803,60072003,60223893,60478557,60993315,61524441,61623357,62161752,62589920,62609585,62673636,62766213,62913781,63243942,63313588,63604301,63766222,63805575,63924305,64033773,64430033,64666653,64896701,65059536,65209240,65870717,66117493,66687837,66914182,66940053,67129236,67210673,67669980,67689028,68059280,68874886,69205677,69608275,69669742,69820536,69931971,70084653,70323341,70413660,70800517,71080421,71215942,71782385,71833780,72181312,72214413,72434885,72480646,72589533,73061902,73159093,73191978,73287797,73290035,73360395,74129432,74212557,74559460,75046577,75107904,75131502,75619102,76495630,76566690,76709166,76869541,77446437,77728541,77773143,77862637,78251088,78378917,78548103,78685917,79099060,80046573,80059462,80269342,80559500,80910933,81203976,81671136,81677080,81951646,82059556,82727860,83195230,83395611,83529930,83742693,84000868,84111117,84496392,84763985,84847317,84969933,85226115,85289041,86138862,86157176,86200536,86439453,86820503,86921862,87778373,87948042,87970798,88032474,88062557,88880973,89098592,89471352,89815102,89876830,89916305,90139462,90881188,90890321,90907856,91354473,91794756,91880028,91886715,92127556,92282973,92435473,92525253,92583581,92587075,92646357,93251517,93283582,93359422,93976917,94097733,94833041,94918872,95058441,95183997,95242228,95305222,95786637,95819981,95907093,96671400,96889397,96926823,96975603,97590957,97601585,97673797,97680646,98012496,98311173,98600116,99021988,99262462,99273432,99477761,99563422,99834276,99868677,...,58662085928724268594972367340785043257730019958451778047067806357661050014071472137734141117859489830890567417139322976347628960156369487183308050816740817423835425742752500488234745233986066019184861714571650192233451116857594862531198058961908213185045026975253263236783871325066566371073963988018888954538063810494855130433351758253218125590761089836313666076183339923436605872873750174527267803472076694123411645398878142147026511966429265201910522354277342096905605969869649311648399257449503621283039341832924703454622576815873597954759371184332106978613218893853869659018907379840017503133000043979207410162616718052911901113947059175075326265143897449844841654825853180740259145893286213416639830031499289634509241839717676331630646522769196647046264653558528915612754305863388152837496477002419859992831622507186892049752995551776751469601041403199273376868101066373926411467994276564487724067627598769140922277477015280703728722292041385311666303606264346277912017866748463433680462717986574847565375165683183844398016863938768003003244764813005457713852243501475949516215282404874817041190753261064627764361616828541932242976517916300109751203271801987128245636890479761297668543335061278543496967763145298893959575408136994522076528764741428929234825814713766420573966250788602596174555509153934709381449550702573872119429914890439306581988380246431586053251049225663309554598365665695146700001405734917171900445397173931406729624118221994770327927161578561821983659944749374468006359178800656415627349567778658147170568319714894006824196409434647997452022996564697646360849112302954116618950128852222189506543304723400195708657966676548028392739687031968578022557531560248647459320141105340524275620950756365006123832951658094711909111030289877116449662081479379647150131517536649972048732189310258560541671237785547697384826088731160884108264490875642916794195772433394122920449278570434527627150120646147557163399060588382411312731762018288820902312545953389676235732078572580468601349708405921261495981836223091325279642808615515223011965148467551384797572196810839790029520385884635184769095792121429385608419234126818393958618834132549578105803238139024125319809200486653275850242268932131775420068212211389691877595333734628386857569768077372281883835090243654835496589423765005822701104001899177100080318635026771728989830547912059235059862776708864869202582634784134614658686476556728013797089006514750392533886413418318795283842391267700673629999107716006860314756611498678879265064973581035930774518268464127876889257731386093612935188667466865768653487725559113298676643754612977451687835619427129338807915306157845460891084461715697898066182602998997243614441710590175707602174660854308032962112075299180945876380581815227663461430314353434921822617153458255234848382991787302586516328672141342989330391624629603481828288351566814541694793921284341588064465100943095114117629099204925683330503090380509345132475868393345261080245930458072717890600762909235938509288451551090112058678353361180108633600332119556032408617063916922973345626719164618753528148750946772294822781322559302774361382170107974600191210158010019497892851789413766468702163490748941559651982656128609969396026102843175095927477258029998715723427783077078515883481411433917035267594507412967023786769343565731542083693493271849572656589273036426672659701261733292489198184864636261515285570378755003703562478611193948796440850493888414150871190503849584388181842418578598476079049495889571351331861800034513731690774599372818008142770158018933046914181209010104799828565809481205159281477487907303903360732938069721933183587555935478936464506313214308863009754626508803}
23044  24562956319958988646055835120972548244867265531747204881760011421952214613089: {69123,115195,138234,391459,529483,598754,943123,1013276,1197404,1426682,1631083,1749596,1905763,2026376,2117564,2279673,2317243,2418045,2454259,2579248,2669276,2878625,2901654,3130856,3138259,3384969,3404444,3454350,3522213,3628154,3684640,3820459,3956683,4029725,4145220,4322684,4364923,4421568,4835670,4974264,5158048,5179459,5314963,5596047,5756750,5802804,5856259,6156764,6284733,6559845,6666043,6908100,6997168,7204459,7255676,7368640,7481825,7871814,7875859,8009923,8217069,8275682,8289720,8842368,8863085,8901884,8978190,9079843,9325935,9450044,9576736,9746203,9782225,9874293,9947664,10635702,10773828,11114313,11191122,11338123,11738670,12521248,12656803,12661550,12732956,13231325,13925285,14086404,14427897,14490859,14621323,14661829,14830485,14915804,14974953,15142459,15193860,15256293,15662443,15792406,15819184,15877590,16206784,16368476,16549916,16710342,16911074,16936096,16957363,17215483,17730859,17796582,17827325,18232632,18533096,19046882,19053108,19653259,19796973,20163163,20352764,20511711,20849733,20894876,20945470,21052723,21256124,21392790,21423241,21432883,21515285,21559459,22317403,22497914,22560580,22695403,22818976,23348045,23420924,23567825,23961404,24006536,24346082,24681596,24812326,24912249,25099496,25134564,25144485,25198843,25447603,25671348,25818342,25820203,26068243,26687083,26820784,26974082,27007353,27072696,27222013,27796459,28017654,28074453,28236933,28281390,28410259,28454204,29428413,29510563,29587682,29922100,30066716,30108674,30166816,30173382,30456783,30555656,30604630,30627641,30847459,30968563,31676636,31934803,32055259,32229400,32734088,32776483,32963834,33354350,33375523,33481082,33937668,34237833,34255874,34375113,34389485,35033825,35043259,35199213,35244956,35446180,35635459,35906520,35957084,36225859,36258075,36312956,36351933,36696883,36725556,36825849,37149845,37854434,37912796,38007429,38090396,38300288,38336326,38675280,38685883,38888590,39132794,40025220,40192843,40394835,40662074,40738313,40759325,41253632,41267382,41424776,41686309,41903825,42040590,42166364,42535416,42601459,42693568,43087824,43164375,43283803,43509690,43624003,43705082,43720900,44286236,44579814,44753323,44843296,44991836,45722234,45756296,45873116,46042000,46068022,46225082,46410336,46535069,46545259,46602873,46666308,46722669,47212483,47439245,47655859,47852343,48030264,48473802,48649243,48911190,48998888,49198603,49855459,50092124,50284590,50448708,50637400,50771193,51221882,51319196,51475833,51797250,52171936,52211628,52462082,52465080,52719644,52883897,53244284,53636896,53742163,53768636,54034047,54391533,54467324,54699259,54766180,55122763,55123749,55250400,55622225,55920293,55962752,56161082,56544776,56560316,56651834,56677745,56927094,56967075,57058085,57431443,57605084,57620456,57743563,58197590,58365859,58693428,58882459,58933760,58996316,59023215,59551870,59827682,59997093,60211964,60341508,60523483,60764880,60816485,61092969,61539763,61769954,61772636,62156700,62737634,62958096,62990216,63158648,63350923,63550723,63612873,63943994,64347043,64751825,64815872,64823013,64863253,65134088,65404124,65719416,65811460,65925859,66300480,66345914,66478670,66585314,66746670,67472924,67770350,67776763,67817276,67873459,68013294,68259523,68360490,68469702,68505596,68971394,69697003,69837108,70267459,70362283,70720512,70827858,70863993,71053479,71106554,71118283,71196448,71437893,71462244,71467445,72110876,72619496,72729725,72917856,72979782,73275849,73465274,73635763,73934343,74096203,74371603,74588040,74873594,75011683,75387529,75425469,75818888,76281259,76371403,77224569,77674682,77702190,77961268,78070459,78088316,78159163,78237400,78258524,78287433,78342045,78598844,78973752,79050093,79141985,79299074,79530554,79544374,79560576,79743523,79774404,79835397,80096004,80179483,80298524,80638076,80682437,81324420,81511550,81648283,81696933,82032588,82164476,82446837,82757443,82842259,82882336,83054013,83564848,83688284,83770483,83911545,84325256,84586682,84587475,84606763,84611285,85074100,85270754,85296249,85378364,85435843,85760934,85847683,86093923,86222204,86257723,86665963,86746048,86864253,87275670,87315194,87396259,87477043,88017075,88445954,88845471,88917116,89253404,89505648,89573114,89788459,89792225,90226640,90259123,91347259,92192323,92274236,92661790,93094048,93199325,93242628,93255259,93446204,93556363,93752813,93884880,94005859,94010454,94267874,94634342,94865913,94970382,95118259,95154914,95485459,95649333,95818682,96141883,96285884,96786044,97365883,97589304,97813860,98287843,98358259,98779243,98873825,98892893,98950076,98988763,99058459,...,78216114571632358126629823121046724343640026611269037396090408476881400018761962850312188157145986441187423222852430635130171946875159316244410734422321089898447234323670000650979660311981421358913148952762200256311268155810126483374930745282544284246726702633671017649045161766755421828098618650691851939384085080659806840577802344337624167454348119781751554768244453231248807830498333566036357071296102258831215527198504189529368682621905686935880696472369789462540807959826199082197865676599338161710719122443899604606163435754498130606345828245776142638150958525138492878691876506453356670844000058638943213550155624070549201485262745566767101686858529933126455539767804240987012194524381617888853106708665719512678989119623568442174195363692262196061686204744705220817005741151184203783328636003226479990442163342915856066337327402369001959468055204265697835824134755165235215290659035419316965423503465025521229703302687040938304963056055180415555071475019128370549357155664617911573950290648766463420500220910911792530689151918357337337659686417340610285136324668634599354953709873166422721587671014752837019148822438055909657302023888400146334937695735982837660849187306348396891391113415038057995957017527065191946100544182659362768705019655238572313101086285021894098621667718136794899407345538579612508599400936765162825906553187252408775984506995242114737668065634217746072797820887593528933335207646556229200593862898575208972832157629326360437236215438082429311546592999165957341812238400875220836466090371544196227424426286525342432261879246197329936030662086263528481132149737272155491933505136296252675391072964533594278210622235397371190319582709291437363410042080331529945760188140454032367494601008486674831777268877459615878814707053169488599549441972506196200175356715533296064976252413678080722228317047396929846434784974881178811019321167523889058927696577858830560599038093912703502866827528196742884532080784509881750309016024385094536416727937852901647642771430107291468466277874561681994642448297455100372857078154020297349286864623401846396762929081119720039360514512846913025461056161905847477892312169091191944825112176732770807737650852032167093078933982204367800323025242842367226757616281852922503460444979504515810093024103163042511780120324873113995452565020007763601472002532236133440424846702362305319774063882745646746483702278486492270110179712179486211581968742304018396118675353000523378515217891091727045123188356934231506665476954675813753008815331571839020086631441381241032691024618837169185676975181458150580251556622487691537983634078817731568858339483969935583780825902839118410553741543793947854779282287597197421576803998662991485922280786900943469566214472410710616149433732241261168507442420303551281907085804579895763489537944340313131177322383070115355104896188457319107188832839471309104384468755752722259725228379122117419286801257460152156838798939900911107337453840679126843301157857793681440327907277430290520801017212314584679051268734786816078237804481573478178133776159408043211489418555897297794168958886158338037531667929029726430375096745737032481842893477299466921613544013359330523802385885021958269551320998588746202643541504813292528034803790900127903303010706664954297903710769438021177975215245222713690126009883956031715692458087642056111591324362466096875452364048568896879601682311056652264246486181682020380760505006671604749971481591931728587800658517885534494920671799445850909123224771464634772065994519428468442482400046018308921032799163757344190360210691910729218908278680139733104754412641606879041969983876405204480977250759629244244783407913971915286008417619078484013006168678404}
23045  24651087335248950004195818515512977046580714019704124184896270738245625244407: {92164,184312,207351,898131,1266595,1496755,1519914,1773079,1796106,2140023,2186995,2256842,2532970,2624394,2646955,2739499,3039564,3176346,3224060,3292003,3336595,3868872,3913570,4003914,4255555,4304179,4352481,4513292,4605800,4696284,5106666,5181525,5403355,5442231,5526960,5571082,5821783,5895424,6122522,6217830,6447560,6484026,6632352,6650179,7253505,7461396,7695955,7737072,7779746,7844023,8379644,8635125,8672131,8704206,8746460,9069595,9210800,9235146,10052311,10362150,10369843,10495752,10883514,10956092,11052960,11127355,11367434,11789824,11807721,11812555,11970920,12413523,12434580,13165724,13263552,13352826,13467285,13841786,14175066,14180936,14365104,14675914,14819084,14921496,15336331,15414883,15651560,15916195,15953553,16160742,16216459,16786683,17608005,17620291,17934103,17988346,18437683,18644755,18781872,18992325,19099434,19237196,19773980,19966604,20258480,20341724,20460595,20687395,21005719,21129606,21170120,21193003,21962059,22119266,22280456,22373706,22790790,23133811,23166370,23468186,23688609,23728776,23816385,24310176,24473779,24552714,24824874,25065513,25366611,25404144,25440955,26118595,26152579,26395964,26545051,26570155,26694873,26736199,27085754,27348948,27799644,28200725,28490803,28523720,28570323,28579662,28642327,28647331,29198683,29276155,29818954,29951755,30008170,30529146,30851995,31160791,31342314,31374370,31418205,31884186,32001079,32089185,32214283,33216332,33512752,33525980,33746871,33840870,34228464,34424456,35131386,35294131,35567755,35865082,35942106,36009804,36096928,36181111,36246679,36519123,37022394,37218489,37356872,37402625,37432604,37583395,37649244,37701846,37708520,37724923,38194570,38507022,38600803,38727513,38786467,39000403,39237884,39508579,39595795,39929179,40001546,40036759,40231176,40286750,40461123,40480243,40609044,40917610,41007703,41397346,41687431,41693299,42026481,42422085,42681306,42874027,43504483,44056195,44307725,44381523,44883150,44922394,44946355,45100074,45163011,45250224,45260073,45391195,45500323,45650444,45833484,45906945,46932284,47390995,47514954,47612995,47875360,48344100,48469244,48570331,48967408,49101132,49443259,49445751,49476679,49667626,50031525,50221623,50417899,50497543,50676572,50906502,51383811,51409891,51567040,51780970,52548667,52707955,52867434,53169270,53178931,53228234,53245483,53366960,53859780,53935626,54469434,54629794,54651125,55023176,55088334,55116439,55263817,55357795,55955383,56054120,56239795,56713888,56781651,56869194,56949079,56992327,57135594,57195370,57341395,57380443,57450432,57504489,57552500,58012920,58206391,58332885,58699191,58725259,59439752,60037830,60255499,60993111,61042699,61248610,61880448,61901073,62137164,62221744,62296892,62316154,62615155,62903863,63007939,63060885,63249546,63296750,63542059,63803124,64040352,64148995,64390579,64631736,64745146,64764787,64902379,64958114,65214920,65264535,65557623,65581350,65760379,65899555,66000682,66341527,66429354,66555355,66869721,67046120,67210795,67264944,67487754,67694924,68084155,68457725,68583351,68634444,68809674,69063000,69102033,69337623,69407362,69615504,69953440,69999462,70582114,70680970,70700395,70823863,72006355,72025570,72045396,72409027,72522044,72531607,72710703,73068266,73119242,73294243,73366785,73498332,73667200,73745395,73784599,75117811,75138186,75264955,75426885,75673062,75902792,75956100,75982519,76749079,76832823,76978794,77194882,77215795,77695875,77847211,78000163,78228403,78257904,78317442,78693123,78697620,78737770,78948310,79079466,79214179,79430983,79866426,79996124,80222203,80455344,80652954,81019840,81417610,81457292,81700986,81755155,81844579,82149270,82264325,82875600,83109403,83944128,84137779,84241623,84341155,84771595,84817164,84840474,84977751,85390641,85603459,85631995,85698391,86251723,86407626,86430684,86612851,87001354,87296385,87573466,87625888,87653419,88040142,88400640,88494474,88995560,89327805,89494027,89712794,89741523,89995114,90138595,90317946,90512262,90665059,90684392,90774370,91101139,91147320,91292936,91861003,92217187,92654931,92658954,93116144,93235050,93358339,94106451,94294016,94437144,94479274,94485324,94737972,94773610,95250524,95282992,95428663,95915991,96710923,97158619,97189459,97223808,97306376,97451585,97610395,97701132,97796750,97823155,98106186,98248555,98579124,98717190,98855779,99450720,99459043,99518871,99718005,99877971,...,117324171857448537189944734681570086515460039916903556094135612715322100028142944275468282235718979661781134834278645952695257920312738974366616101633481634847670851485505000976469490467972132038369723429143300384466902233715189725062396117923816426370090053950506526473567742650133132742147927976037777909076127620989710260866703516506436251181522179672627332152366679846873211745747500349054535606944153388246823290797756284294053023932858530403821044708554684193811211939739298623296798514899007242566078683665849406909245153631747195909518742368664213957226437787707739318037814759680035006266000087958414820325233436105823802227894118350150652530287794899689683309651706361480518291786572426833279660062998579269018483679435352663261293045538393294092529307117057831225508611726776305674992954004839719985663245014373784099505991103553502939202082806398546753736202132747852822935988553128975448135255197538281844554954030561407457444584082770623332607212528692555824035733496926867360925435973149695130750331366367688796033727877536006006489529626010915427704487002951899032430564809749634082381506522129255528723233657083864485953035832600219502406543603974256491273780959522595337086670122557086993935526290597787919150816273989044153057529482857858469651629427532841147932501577205192349111018307869418762899101405147744238859829780878613163976760492863172106502098451326619109196731331390293400002811469834343800890794347862813459248236443989540655854323157123643967319889498748936012718357601312831254699135557316294341136639429788013648392818869295994904045993129395292721698224605908233237900257704444379013086609446800391417315933353096056785479374063937156045115063120497294918640282210681048551241901512730012247665903316189423818222060579754232899324162958759294300263035073299944097464378620517121083342475571095394769652177462321768216528981751285833588391544866788245840898557140869055254300241292295114326798121176764822625463524036577641804625091906779352471464157145160937202699416811842522991963672446182650559285617231030446023930296935102769595144393621679580059040771769270369538191584242858771216838468253636787917237668265099156211606476278048250639618400973306551700484537864263550840136424422779383755190667469256773715139536154744563767670180487309670993178847530011645402208003798354200160637270053543457979661095824118470119725553417729738405165269568269229317372953113456027594178013029500785067772826836637590567684782535401347259998215432013720629513222997357758530129947162071861549036536928255753778515462772187225870377334933731537306975451118226597353287509225954903375671238854258677615830612315690921782168923431395796132365205997994487228883421180351415204349321708616065924224150598361891752761163630455326922860628706869843645234306916510469696765983574605173032657344282685978660783249259206963656576703133629083389587842568683176128930201886190228235258198409851366661006180761018690264951736786690522160491860916145435781201525818471877018576903102180224117356706722360217267200664239112064817234127833845946691253438329237507056297501893544589645562645118605548722764340215949200382420316020038995785703578827532937404326981497883119303965312257219938792052205686350191854954516059997431446855566154157031766962822867834070535189014825934047573538687131463084167386986543699145313178546072853345319402523466584978396369729272523030571140757510007407124957222387897592881700987776828301742381007699168776363684837157196952158098991779142702663723600069027463381549198745636016285540316037866093828362418020209599657131618962410318562954975814607806721465876139443866367175111870957872929012626428617726019509253017606}
23046  24739532479164220998299641285870651234319075879576488093239664645711660385049: {115205,138246,161273,230390,276468,391493,437513,667493,782918,989129,1058966,1197508,1218629,1677029,1886246,1905929,2026552,2279871,2363129,2394808,2500133,2694159,2853364,3184073,3262166,3385263,3499192,3799455,3811526,3936591,4030075,4052752,4235128,4410629,4559346,4634486,4764519,4836090,4908518,5158496,5225093,5338552,5450873,5641615,5757250,5803308,5870355,5991929,6005871,6127013,6261712,6276518,6307013,6769938,6808888,6908700,6980873,7044426,7256308,7369280,7640918,7652933,7659999,7876553,7913366,7921253,8059450,8290440,8323193,8356623,8645368,8729846,8843136,9183783,9258533,9326745,9671340,9726039,9791429,9948528,10316096,10358918,10474555,10629926,10809593,10933075,11192094,11339129,11513500,11605608,11669619,11712518,12313528,12408319,12569466,12657929,12964613,13056309,13119690,13314629,13332086,13445753,13695115,13751429,13816200,13852719,13994336,14408918,14511352,14737280,14963650,15143813,15543225,15743628,15751718,16019846,16325271,16434138,16457155,16484873,16551364,16571129,16579440,17051151,17131013,17217029,17517833,17684736,17726170,17803768,17956380,18159686,18523855,18651870,18900088,18930629,19015973,19153472,19492406,19495399,19564450,19655033,19748586,19895328,20029239,20716133,20762679,21054629,21262599,21271404,21350393,21547656,21687929,22013871,22228626,22235333,22382244,22445513,22676246,22739429,23074853,23477340,23493413,24046495,24203129,24241113,24328133,24494693,24717475,24958255,25042496,25242629,25313606,25323100,25427155,25465912,25946633,26462650,26813093,26982519,27429833,27839993,27850570,28044773,28172808,28412873,28649151,28657913,28855794,28981718,29242646,29323658,29660970,29757029,29831608,29949906,30121399,30284153,30284918,30387720,30512586,30890693,30971429,31253753,31324886,31495433,31584812,31638368,31694409,31755180,31977929,32058233,32098373,32413568,32687263,32736952,32779529,32994955,33099832,33178899,33179129,33378629,33420684,33498233,33560559,33822148,33872192,33896393,33914726,34186185,34430966,34571429,34749555,34848713,35202279,35461718,35559929,35593164,35638793,35654650,35678213,36196303,36268553,36465264,36739529,36829071,36935429,37066192,37237311,37795013,38093764,38106216,39306518,39541193,39593946,39734213,39965573,40312073,40326326,40628631,40705528,41023422,41520415,41691593,41699466,41789752,41844233,41890940,41907475,42105446,42512248,42605513,42643493,42785580,42846482,42865766,42869493,43030570,43118918,43287929,43665929,43741433,43967753,44634806,44728431,44795129,44995828,45012255,45121160,45390806,45637952,45793719,46549733,46586873,46696090,46790755,46841848,47013471,47061555,47135650,47217029,47475833,47586629,47660453,47826279,47922808,48013072,48145279,48433673,48692164,49047355,49239929,49363192,49624652,49824498,50198992,50269128,50288970,50397686,50405753,50761305,50895206,51342696,51419129,51636684,51640406,52009783,52067273,52136486,52697079,53374166,53641568,53797623,53913159,53948164,53996153,54014706,54145392,54173573,54444026,54527813,54704633,54739973,54810629,54916553,55163429,55269113,55533591,55592918,55796453,56035308,56148906,56287013,56473866,56552769,56562780,56636453,56820518,56908408,57063055,57291855,57760533,58371653,58475129,58665355,58716293,58856826,59021126,59094473,59175364,59403173,59844200,60002319,60120953,60133432,60217348,60333632,60346764,60430125,60529529,60586555,60913566,60970853,61111312,61209260,61255282,61275593,61376415,61545929,61694918,61937126,61984133,62096019,62152313,62499151,63345715,63353272,63557129,63869606,64021959,64110518,64386629,64458800,65276873,65468176,65473913,65552966,65637893,65927668,65932553,66087619,66128633,66414943,66708700,66751046,66962164,67324725,67383591,67590053,67650111,67815929,67875336,67912613,68475666,68511748,68750226,68778970,69035273,69322373,69735929,70067650,70086518,70211429,70274693,70369529,70398426,70489912,70685129,70892360,70937033,71157029,71270918,71272431,71813040,71914168,71940625,72001913,72451718,72516150,72625912,72703866,72809993,73088453,73393766,73451112,73643429,73651698,74103929,74299690,74501439,74501573,74776073,75686393,75708868,75825592,76014858,76180792,76359753,76600576,76672652,77277029,77350560,77371766,77663753,77671455,77777180,77871115,78078713,78108293,78167429,78265588,78815813,79301151,79348843,79753905,79781129,79842351,79881319,79926629,80013833,80050440,80217029,80385686,80448773,80564453,80789670,80903439,80997113,81324148,81476626,81518650,81704151,81944691,82170533,82507264,82534764,82632501,82849552,82935929,83358629,83372618,83555273,83779529,83807650,84081180,84332728,84618655,84893129,85070832,85143079,85202918,85303791,85387136,85527653,85703391,85793055,85939193,86175648,86246743,86328750,86567606,86675429,87019380,87027833,87248006,87410164,87432773,87441800,87486629,87755429,87809093,88572472,88610213,88955129,89159628,89166713,89506646,89667173,89686592,89824613,89983672,90056745,90060233,90216953,90269129,90652555,90996233,91357433,91444468,91512592,91614473,91746232,91872915,92084000,92136044,92450164,92820672,92912933,93070138,93090518,93205746,93332616,93445338,93474231,94016453,94165733,94424966,94463429,94874319,94878490,94945125,95129033,95311718,95351971,95520713,95704686,95740133,95886053,96060528,96225413,96587273,96827513,96947604,97117719,97186373,97257929,97298486,97329413,97437171,97822380,97997776,98322629,98369573,98372025,98393033,98397206,98510213,99001023,99644031,99710918,99995155,...,175986257786172805784917102022355129773190059875355334141203419072983150042214416413202423353578469492671702251417968929042886880469108461549924152450222452271506277228257501464704235701958198057554585143714950576700353350572784587593594176885724639555135080925759789710351613975199699113221891964056666863614191431484565391300055274759654376772283269508940998228550019770309817618621250523581803410416230082370234936196634426441079535899287795605731567062832026290716817909608947934945197772348510863849118025498774110363867730447620793864278113552996320935839656681561608977056722139520052509399000131937622230487850154158735703341841177525225978795431692349534524964477559542220777437679858640249919490094497868903527725519153028994891939568307589941138793960675586746838262917590164458512489431007259579978494867521560676149258986655330254408803124209597820130604303199121779234403982829693463172202882796307422766832431045842111186166876124155934998910818793038833736053600245390301041388153959724542696125497049551533194050591816304009009734294439016373141556730504427848548645847214624451123572259783193883293084850485625796728929553748900329253609815405961384736910671439283893005630005183835630490903289435896681878726224410983566229586294224286787704477444141299261721898752365807788523666527461804128144348652107721616358289744671317919745965140739294758159753147676989928663795096997085440100004217204751515701336191521794220188872354665984310983781484735685465950979834248123404019077536401969246882048703335974441511704959144682020472589228303943992356068989694092939082547336908862349856850386556666568519629914170200587125973900029644085178219061095905734067672594680745942377960423316021572826862852269095018371498854974284135727333090869631349348986244438138941450394552609949916146196567930775681625013713356643092154478266193482652324793472626928750382587317300182368761347835711303582881450361938442671490197181765147233938195286054866462706937637860169028707196235717741405804049125217763784487945508669273975838928425846545669035895445402654154392716590432519370088561157653905554307287376364288156825257702380455181875856502397648734317409714417072375959427601459959827550726806796395326260204636634169075632786001203885160572709304232116845651505270730964506489768271295017468103312005697531300240955905080315186969491643736177705179588330126594607607747904352403843976059429670184041391267019544251177601659240254956385851527173803102020889997323148020580944269834496036637795194920743107792323554805392383630667773194158280838805566002400597305960463176677339896029931263838932355063506858281388016423745918473536382673253385147093694198547808996991730843325131770527122806523982562924098886336225897542837629141745445682990384290943060304765467851460374765704545148975361907759548986016424028967991174873888810445484865054700443625084381763853024764193395302829285342352887297614777049991509271141528035397427605180035783240737791374218153671802288727707815527865354653270336176035060083540325900800996358668097225851191750768920036880157493856260584446252840316884468343967677908323084146510323923800573630474030058493678555368241299406106490472246824678955947968385829908188078308529525287782431774089996147170283349231235547650444234301751105802783522238901071360308030697194626251080479815548717969767819109280017979103785199877467594554593908784545856711136265011110687435833581846389322551481665242452613571511548753164545527255735795428237148487668714053995585400103541195072323798118454024428310474056799140742543627030314399485697428443615477844432463721911710082198814209165799550762667806436809393518939642926589029263879526409}
23047  24828292863985075281623257283084806883592898060077059422157838925912773159399: {184328,207369,345585,368624,414702,1174377,1496885,1588449,1773233,1796262,2095457,2533190,2829369,2993510,3039828,3061793,3546158,3566705,3592212,3705737,3890549,4280046,4373990,4513684,4671233,4810553,4893249,5065940,5086757,5248788,5293910,5478998,5717289,5957777,6079128,6352692,6448120,6584006,6673190,6839019,6880289,6951729,7254135,7362777,7432553,7564697,7737744,7827140,8007828,8511110,8608358,8635875,8704962,9026584,9070385,9211600,9270209,9392568,9414777,10154907,10213332,10363050,10566639,10774337,10806710,10875689,10884462,11053920,11142164,11461377,11643566,11790848,11870049,12089175,12245044,12255269,12435660,12697433,12895120,12968052,13094769,13264704,13300358,14391875,14462597,14507010,14922792,15391910,15474144,15538377,15559492,15578297,15688046,15944889,16394009,16537577,16759288,16788141,17270250,17344262,17408412,17492920,17568777,18139190,18217589,18421600,18439289,18470292,18854199,19679535,19998129,20104622,20689205,20724300,20739686,20991504,21194849,21613377,21767028,21789989,21912184,22105920,22254710,22282673,22445475,22734868,23579648,23615442,23625110,23627577,23941840,24029769,24651207,24827046,24869160,26102657,26154857,26331448,26527104,26589255,26705652,26934570,27239529,27683572,27977805,28350132,28361872,28644833,28730208,28923557,28962353,29229353,29238609,29346675,29351828,29622879,29638168,29842992,30623009,30672662,30829766,31303120,31450037,31653875,31832390,31907106,32217089,32321484,32432918,33342939,33573366,33670949,34014369,35216010,35240582,35617337,35868206,35976692,36566033,36875366,37198217,37289510,37563744,37728209,37819457,37970409,37984650,38198868,38474392,39481015,39547960,39693975,39932657,39933208,40483769,40516960,40683448,40921190,40986617,41374790,41775855,41932457,42011438,42259212,42277685,42340240,42386006,42454889,42472613,43192793,43283691,43472577,43863969,43924118,43985487,44238532,44491455,44560912,44747412,44924859,45427377,45581580,45768879,46267622,46332740,46598393,46691957,46936372,46987329,47377218,47457552,47617205,47632770,48463649,48620352,48947558,49105428,49649748,49794857,50131026,50733222,50808288,50872089,50881910,51414389,51646449,51920009,52237190,52305158,52363675,52616753,52791928,53090102,53140310,53192577,53389746,53472398,53481975,53773109,54171508,54299849,54697896,55260113,55434113,55599288,56172713,56244785,56401450,56875697,56981606,57047440,57140646,57159324,57284654,57294662,57450833,58397366,58552310,58959777,59390919,59637908,59903510,60016340,60179489,60489489,60865205,61058292,61535133,61678673,61703990,61952837,62030815,62321582,62549199,62684628,62748740,62836410,62924897,63158169,63547673,63768372,64002158,64178370,64269723,64298649,64428566,64476773,64545855,64678377,65634113,66081497,66129089,66347393,66432664,66658193,66952209,67025504,67051960,67303457,67435205,67493742,67681740,68086209,68224193,68456928,68848912,70044135,70262772,70588262,70703475,71135510,71730164,71884212,72019608,72193856,72362222,72493358,72537953,73038246,73791137,73969205,74044788,74340929,74436978,74713744,74736747,74805250,74865208,75166790,75271685,75298488,75403692,75417040,75433455,75449846,75478853,75596529,76097957,76342809,76389140,76511575,77014044,77201606,77402753,77455026,77460609,77500913,77572934,78000806,78204729,78475768,78735713,79017158,79191590,79858358,80003092,80061249,80073518,80277953,80462352,80573500,80922246,80960486,81022059,81218088,81666039,81805049,81835220,82015406,82409585,82794692,83374862,83385875,83386598,83389377,83700929,83702705,84052962,84145193,84223359,84710799,84844170,85105673,85230777,85362612,85639685,85705889,85748054,86461337,86620469,87008966,87298577,87661217,88112390,88285239,88531689,88615450,88681349,88763046,89766300,89808593,89844788,89892710,90200148,90326022,90500448,90520146,90606713,90703457,90782390,91000646,91300888,91370349,91473353,91514753,91666968,91813890,91882923,92259377,92359733,92451749,92542377,92905689,93177497,93616757,93864568,94095113,94636085,94781990,95029908,95225990,95317817,95545097,95750720,95804409,95840815,96165777,96688200,96938488,97140662,97221475,97831985,97934816,98202264,98329449,98576993,98864513,98886518,98891502,98953358,98980553,99335252,99435557,...,234648343714897074379889469363140173030920079833807112188271225430644200056285888550936564471437959323562269668557291905390515840625477948733232203266963269695341702971010001952938980935944264076739446858286600768933804467430379450124792235847632852740180107901013052947135485300266265484295855952075555818152255241979420521733407033012872502363044359345254664304733359693746423491495000698109071213888306776493646581595512568588106047865717060807642089417109368387622423879478597246593597029798014485132157367331698813818490307263494391819037484737328427914452875575415478636075629519360070012532000175916829640650466872211647604455788236700301305060575589799379366619303412722961036583573144853666559320125997158538036967358870705326522586091076786588185058614234115662451017223453552611349985908009679439971326490028747568199011982207107005878404165612797093507472404265495705645871977106257950896270510395076563689109908061122814914889168165541246665214425057385111648071466993853734721850871946299390261500662732735377592067455755072012012979059252021830855408974005903798064861129619499268164763013044258511057446467314167728971906071665200439004813087207948512982547561919045190674173340245114173987871052581195575838301632547978088306115058965715716939303258855065682295865003154410384698222036615738837525798202810295488477719659561757226327953520985726344213004196902653238218393462662780586800005622939668687601781588695725626918496472887979081311708646314247287934639778997497872025436715202625662509398271114632588682273278859576027296785637738591989808091986258790585443396449211816466475800515408888758026173218893600782834631866706192113570958748127874312090230126240994589837280564421362097102483803025460024495331806632378847636444121159508465798648325917518588600526070146599888194928757241034242166684951142190789539304354924643536433057963502571667176783089733576491681797114281738110508600482584590228653596242353529645250927048073155283609250183813558704942928314290321874405398833623685045983927344892365301118571234462060892047860593870205539190288787243359160118081543538540739076383168485717542433676936507273575834475336530198312423212952556096501279236801946613103400969075728527101680272848845558767510381334938513547430279072309489127535340360974619341986357695060023290804416007596708400321274540107086915959322191648236940239451106835459476810330539136538458634745906226912055188356026059001570135545653673275181135369565070802694519996430864027441259026445994715517060259894324143723098073073856511507557030925544374451740754669867463074613950902236453194706575018451909806751342477708517355231661224631381843564337846862791592264730411995988974457766842360702830408698643417232131848448301196723783505522327260910653845721257413739687290468613833020939393531967149210346065314688565371957321566498518413927313153406267258166779175685137366352257860403772380456470516396819702733322012361522037380529903473573381044320983721832290871562403051636943754037153806204360448234713413444720434534401328478224129634468255667691893382506876658475014112595003787089179291125290237211097445528680431898400764840632040077991571407157655065874808653962995766238607930624514439877584104411372700383709909032119994862893711132308314063533925645735668141070378029651868095147077374262926168334773973087398290626357092145706690638805046933169956792739458545046061142281515020014814249914444775795185763401975553656603484762015398337552727369674314393904316197983558285405327447200138054926763098397491272032571080632075732187656724836040419199314263237924820637125909951629215613442931752278887732734350223741915745858025252857235452039018506035212}
23048  24917369605904215048610417569627995567113131480000598802821673321751413899471: {161287,230410,276492,322546,437551,460780,552936,622053,713527,782986,851407,875026,1334986,1565836,1978258,2117932,2395016,2437258,2694393,2910967,3354058,3772492,3799785,3811858,4053104,4490265,4559742,4726258,4789616,5000266,5319237,5388318,5496487,5642105,5706728,6172567,6332425,6368146,6420069,6524332,6560985,6770526,6981487,6998384,7519327,7598910,7623052,7873182,7898261,7921951,7940865,8060150,8105504,8218497,8470256,8591551,8821258,8992447,9118692,9259351,9268972,9529038,9672180,9783925,9817036,9876009,10009785,10316992,10450186,10677104,10901746,11251951,11283230,11514500,11606616,11740710,11983858,12011742,12254026,12308047,12523424,12553036,12614026,12766665,12912537,13057443,13490647,13539876,13617776,13621687,13817400,13927705,13961746,14088852,14512616,14664377,14738560,15281836,15305866,15306305,15319998,15544575,15753106,15826732,15842506,16118900,16210065,16326693,16580880,16646386,16713246,16874287,17132551,17290736,17459692,17465349,17686272,18367566,18517066,18653490,19060351,19173161,19342680,19443967,19449365,19452078,19582858,19897056,19950537,20336551,20632192,20717836,20718007,20949110,21259852,21619186,21760515,21866150,21984847,22237351,22384188,22489567,22678258,23027000,23040017,23087865,23118847,23211216,23339238,23425036,23532069,23871607,24627056,24816638,25138932,25315858,25905375,25929226,25933397,26016393,26112618,26239380,26629258,26664172,26856727,26891506,27208785,27226951,27390230,27502858,27632400,27705438,27988672,28088287,28211047,28418585,28701367,28817836,29022704,29474560,29927300,30156933,30286951,30287626,31086450,31109529,31256647,31487256,31498351,31503436,31739767,32039692,32101351,32650542,32868276,32914310,32942527,32969746,33102728,33142258,33158880,33301951,33382065,33660727,33665093,34102302,34262026,34434058,34604465,34941557,35035666,35369472,35423163,35437665,35444887,35452340,35598017,35607536,35681551,35912760,36319372,36689785,37047710,37240569,37303740,37800176,37861258,38031946,38265847,38306944,38984812,38990798,39128900,39310066,39429007,39497172,39776551,39790656,40058478,40401855,41432266,41525358,41848207,42109258,42419527,42525198,42542808,42647551,42700786,42777449,43095312,43375858,43783351,44027742,44457252,44470666,44764488,44891026,44970865,45136807,45352492,45478858,46008993,46149706,46192937,46244649,46591351,46954680,46986826,47748585,47860659,48092990,48406258,48475087,48482226,48649377,48656266,48989386,49434950,49916510,50084992,50229007,50360049,50485258,50627212,50646200,50854310,50931824,51893266,52072351,52824015,52860873,52925300,53467927,53626186,53802309,53965038,54214351,54745351,54859666,55063087,55298165,55313049,55679986,55701140,55934265,56089546,56345616,56825746,56976975,57298302,57315826,57711588,57915925,57963436,58128581,58204807,58485292,58647316,58670465,59321940,59514058,59663216,59899812,60161047,60242798,60467551,60568306,60569836,60773407,60775440,61025172,61381785,61781386,61942858,62062185,62192167,62507506,62649772,62990866,63017157,63169624,63196927,63276736,63297007,63388818,63510360,63579009,63955858,63995551,64017349,64116466,64196746,64690567,64827136,65374526,65473904,65507057,65559058,65677327,65886177,65989910,66168007,66199664,66357798,66358258,66757258,66841368,66996466,67121118,67644296,67714385,67744384,67792786,67829452,68372370,68666297,68690527,68861932,69074287,69142858,69170047,69361351,69401433,69499110,69552367,69697426,70123687,70404558,70503127,70923436,71065827,71119858,71186328,71277586,71309300,71356426,71449155,72196351,72392606,72537106,72930528,73126537,73421337,73479058,73658142,73862633,73870858,74132384,74474622,74547385,74783887,75020425,75196539,75590026,75694327,76099833,76187528,76212432,76322865,78116551,78355785,78435925,78457737,78613036,79082386,79187892,79468426,79635153,79710465,79888277,79931146,80051407,80084619,80208597,80624146,80652652,81257262,81411056,81436687,82046844,82131497,83040830,83383186,83398932,83564287,83579504,83688466,83781880,83814950,84210892,84402727,84602175,84736087,84819247,84821177,85024496,85151167,85211026,85286986,85472409,85564447,85571160,85692964,85710969,85731532,85738986,85926981,85941993,86061140,86237836,86575858,87037351,87331858,87482866,87596049,87828465,87935506,88006327,88684001,89269612,89456862,89590258,89598247,89662705,89855265,89991656,90024510,90070207,90226951,90242320,90781612,91006351,91238767,91275904,91587438,91778551,92391127,92555985,92771647,92923351,93099466,93173746,93392180,93482373,93581510,93683696,94026942,94123110,94254615,94271300,94434058,94951666,95173258,95320906,95486425,95652558,95845616,95896951,96003237,96026144,96260551,96267555,96290558,96642849,96867346,97197487,97384328,97483327,98094710,98263447,98404351,98479858,98726384,98755351,99249304,99451951,99648996,99935287,...,351972515572345611569834204044710259546380119750710668282406838145966300084428832826404846707156938985343404502835937858085773760938216923099848304900444904543012554456515002929408471403916396115109170287429901153400706701145569175187188353771449279110270161851519579420703227950399398226443783928113333727228382862969130782600110549519308753544566539017881996457100039540619635237242501047163606820832460164740469872393268852882159071798575591211463134125664052581433635819217895869890395544697021727698236050997548220727735460895241587728556227105992641871679313363123217954113444279040105018798000263875244460975700308317471406683682355050451957590863384699069049928955119084441554875359717280499838980188995737807055451038306057989783879136615179882277587921351173493676525835180328917024978862014519159956989735043121352298517973310660508817606248419195640261208606398243558468807965659386926344405765592614845533664862091684222372333752248311869997821637586077667472107200490780602082776307919449085392250994099103066388101183632608018019468588878032746283113461008855697097291694429248902247144519566387766586169700971251593457859107497800658507219630811922769473821342878567786011260010367671260981806578871793363757452448821967132459172588448573575408954888282598523443797504731615577047333054923608256288697304215443232716579489342635839491930281478589516319506295353979857327590193994170880200008434409503031402672383043588440377744709331968621967562969471370931901959668496246808038155072803938493764097406671948883023409918289364040945178456607887984712137979388185878165094673817724699713700773113333137039259828340401174251947800059288170356438122191811468135345189361491884755920846632043145653725704538190036742997709948568271454666181739262698697972488876277882900789105219899832292393135861551363250027426713286184308956532386965304649586945253857500765174634600364737522695671422607165762900723876885342980394363530294467876390572109732925413875275720338057414392471435482811608098250435527568975891017338547951677856851693091338071790890805308308785433180865038740177122315307811108614574752728576313650515404760910363751713004795297468634819428834144751918855202919919655101453613592790652520409273268338151265572002407770321145418608464233691303010541461929012979536542590034936206624011395062600481911810160630373938983287472355410359176660253189215215495808704807687952118859340368082782534039088502355203318480509912771703054347606204041779994646296041161888539668992073275590389841486215584647109610784767261335546388316561677611132004801194611920926353354679792059862527677864710127013716562776032847491836947072765346506770294187388397095617993983461686650263541054245613047965125848197772672451795085675258283490891365980768581886120609530935702920749531409090297950723815519097972032848057935982349747777620890969730109400887250168763527706049528386790605658570684705774595229554099983018542283056070794855210360071566481475582748436307343604577455415631055730709306540672352070120167080651801601992717336194451702383501537840073760314987712521168892505680633768936687935355816646168293020647847601147260948060116987357110736482598812212980944493649357911895936771659816376156617059050575564863548179992294340566698462471095300888468603502211605567044477802142720616061394389252502160959631097435939535638218560035958207570399754935189109187817569091713422272530022221374871667163692778645102963330484905227143023097506329091054511471590856474296975337428107991170800207082390144647596236908048856620948113598281485087254060628798971394856887230955688864927443823420164397628418331599101525335612873618787037879285853178058527759052818}
23049  25006763825040442077889370492104588206165494326770329452779896995670298510286: {345615,368656,414738,483819,575975,691170,737248,829404,1174479,1312539,1957295,2002479,2095639,2348754,2647415,2786267,2967387,2993770,3176898,3546466,3592524,3655887,4190914,4304927,4715615,4993387,5031087,5066380,5658738,5685199,5717787,5987020,6079656,6123586,6839613,7089387,7092316,7133410,7184424,7411474,7500399,7781098,8082477,8155415,8306971,8560092,8747980,9027368,9342466,9528815,9552219,9621106,9786498,10131880,10155789,10173514,10497576,10587820,10957996,11340479,11398365,11434578,11586215,11809773,11915554,12090225,12158256,12168587,12271295,12698539,12705384,12853087,12896240,13168012,13231887,13346380,13678038,13760578,13903458,14293557,14393125,14508270,14725554,14865106,15129394,15475488,15654280,15675279,15691295,16015656,16164079,16352619,16924845,17022220,17216716,17271750,17409924,17611065,17975787,18017613,18053168,18140770,18381039,18423200,18540418,18785136,18829554,18921039,19102295,19783415,20148625,20309814,20426664,20726100,20942619,21133278,21548674,21613420,21751378,21768924,21791887,21824615,22107840,22284328,22922754,22958799,22979997,23041919,23287132,23581696,23629659,23740098,23763759,24178350,24490088,24510538,24871320,24969579,25069869,25394866,25483007,25790240,25897295,25936104,26189538,26529408,26574815,26600716,27551349,27713927,27775599,27980235,28004087,28783750,28925194,28964887,29014020,29178117,29231899,29281295,29374287,29845584,30783820,30948288,31076754,31118984,31156594,31312199,31376092,31423665,31889778,32428779,32788018,32799225,33008987,33075154,33330215,33518576,33576282,34017387,34511807,34540500,34688524,34712759,34816824,34985840,35008857,35137554,36022295,36278380,36435178,36843200,36878578,36940584,37224957,37409125,37708398,37973787,38893839,39168927,39286271,39359070,39379295,39943887,39996258,40049615,40209244,40337259,41085345,41254287,41378410,41448600,41479372,41558157,41983008,42014027,42389698,42458587,43226754,43534056,43579978,43798187,43824368,44211840,44245847,44315425,44509420,44565346,44890950,45009371,45399215,45431439,45469736,46629675,46952039,47159296,47230884,47250220,47255154,47469391,47883680,48059538,48731015,48911125,48975813,49302414,49371465,49454619,49654092,49713387,49738320,51000527,51153453,51393039,51651087,52205314,52309714,52553499,52662896,53054208,53178510,53411304,53869140,54479058,55209359,55273421,55367144,55571565,55955610,56690615,56700264,56723744,56791887,56959067,57047919,57289666,57460416,57847114,57924706,58458706,58477218,58486197,58693350,58703656,58965099,59188759,59245758,59276336,59685984,60087717,61246018,61345324,61659532,62148399,62288037,62606240,62900074,62914907,63163887,63284015,63307750,63620939,63664780,63787797,63814212,64051179,64434178,64446887,64642968,64865836,65063787,66041613,66156625,66664087,66685878,66705999,66769607,67146732,67228319,67336539,67341898,67373471,67896439,68028738,68218287,68923447,69224559,69541679,69626425,70432020,70480239,70481164,71234674,71723999,71736412,71953384,72139485,72454295,72609387,72723339,72984399,73106615,73132066,73309145,73484079,73750732,74152425,74396434,74579020,74874765,75066239,75127488,75456418,75638914,75712295,75727887,75940818,75969300,76281465,76397736,76948784,77749067,77839899,78312215,78399479,78742699,78962030,79095920,79228127,79387950,79865314,79866416,80439279,80947557,80967538,81033920,81366896,81842380,81973234,82289499,82749580,83519979,83551710,83864914,84022876,84134319,84518424,84555370,84680480,84772012,84786815,84909778,84945226,85211287,85238619,85947453,85973739,86077415,86385586,86567382,86611547,86843141,86945154,87727938,87801419,87848236,87970974,88477064,88654295,88982910,89121824,89136625,89271087,89494824,89559371,89849718,90364197,90852459,90854754,90932087,91163160,91537758,92535244,92665480,92672079,92914287,93196786,93383914,93678127,93761259,93872744,93974658,94409287,94486299,94754436,94857887,94915104,95083227,95234410,95265540,95933787,96174699,96295119,96633259,96927298,97240704,97895116,98061789,98210856,98266295,98338587,98825591,98984865,99299496,99444319,99536697,99537387,99589714,99851807,...,527958773358518417354751306067065389319570179626066002423610257218949450126643249239607270060735408478015106754253906787128660641407325384649772457350667356814518831684772504394112707105874594172663755431144851730101060051718353762780782530657173918665405242777279369131054841925599097339665675892170000590842574294453696173900165824278963130316849808526822994685650059310929452855863751570745410231248690247110704808589903279323238607697863386817194701188496078872150453728826843804835593317045532591547354076496322331091603191342862381592834340658988962807518970044684826931170166418560157528197000395812866691463550462476207110025523532575677936386295077048603574893432678626662332313039575920749758470283493606710583176557459086984675818704922769823416381882026760240514788752770493375537468293021778739935484602564682028447776959965990763226409372628793460391812909597365337703211948489080389516608648388922268300497293137526333558500628372467804996732456379116501208160800736170903124164461879173628088376491148654599582151775448912027029202883317049119424670191513283545645937541643873353370716779349581649879254551456877390186788661246700987760829446217884154210732014317851679016890015551506891472709868307690045636178673232950698688758882672860363113432332423897785165696257097423365570999582385412384433045956323164849074869234013953759237895422217884274479259443030969785991385290991256320300012651614254547104008574565382660566617063997952932951344454207056397852939502744370212057232609205907740646146110007923324535114877434046061417767684911831977068206969082278817247642010726587049570551159669999705558889742510601761377921700088932255534657183287717202203017784042237827133881269948064718480588556807285055114496564922852407181999272608894048046958733314416824351183657829849748438589703792327044875041140069929276463434798580447956974380417880786251147761951900547106284043507133910748644351085815328014470591545295441701814585858164599388120812913580507086121588707153224217412147375653291353463836526007821927516785277539637007107686336207962463178149771297558110265683472961716662921862129092864470475773107141365545627569507192946202952229143251217127878282804379879482652180420389185978780613909902507226898358003611655481718127912696350536954515812192893519469304813885052404309936017092593900722867715240945560908474931208533115538764990379783822823243713057211531928178289010552124173801058632753532804977720764869157554581521409306062669991969444061742832809503488109913385584762229323376970664416177150892003319582474842516416698007201791917881389530032019688089793791516797065190520574844164049271237755420609148019760155441281082595643426990975192529975395311581368419571947688772296659008677692628512887425236337048971152872829180914296403554381124297113635446926085723278646958049272086903973524621666431336454595164101330875253145291559074292580185908487856027058661892844331149974527813424584106192282815540107349722213374122654461015406866183123446583596063959811008528105180250620977702402989076004291677553575252306760110640472481568781753338758520950653405031903033724969252439530971771401720891422090175481035666104723898218319471416740474036867843905157489724564234925588575863347295322269988441510850047693706642951332702905253317408350566716703214080924092091583878753241439446646153909303457327840053937311355599632402783663781726353637570133408795033332062307500745539167967654444995727357840714534646259493636581767207386284711445463006142161986756200310623585216971394355362073284931422170397422227630881090943198457092285330846433533297391165735130246596442627497398652288003419310428180556818928779767087791638579227}
23050  25096476645452376229793134555019747745945385069416803137821148908816636100164: {253429,322574,460820,529621,552984,622107,645092,667609,875102,921560,1036755,1081141,1105872,1244106,1427054,1565972,1702814,1750052,2043529,2454901,2591881,2669972,3131672,3412249,3523131,3956516,3957721,4093909,4235864,4366069,4490655,4502041,4765347,4790032,4874516,5316361,5319699,5388786,5451829,5821934,5992981,6286371,6332975,6398089,6708116,7071829,7483775,7544984,7599570,7623716,7898947,8012041,8106208,8146069,8488107,8865395,8980530,9119484,9185379,9452516,9579232,9748789,10000532,10638474,10700115,10776636,10811509,10934975,10992974,11117211,11284210,11413456,11473369,11671647,12345134,12664850,12736292,12791689,12840138,13048664,13121970,13234775,13541052,13697495,13841161,13962974,13996768,14013699,14364169,14431659,14625241,14679747,14755669,15038654,15197820,15246104,15260271,15276661,15666649,15746364,15796522,15843902,15881730,16120300,16211008,16436994,16460015,16574101,16682975,16940512,17151867,17183102,17220121,17642516,17873331,17984894,18237384,18250009,18518702,18537944,19019401,19058076,19344360,19498787,19567850,19634072,19752018,20019570,20517057,20633984,20640867,20804569,20855187,20900372,21277775,21354208,21428827,21438709,21520895,21565321,21691861,21762405,21803492,22088331,22297659,22323481,22449589,22503902,22566460,22694091,23029000,23213232,23481420,23967716,24023484,24508052,24616094,25046848,25106072,25228052,25533330,25825074,25907625,25951381,26114886,26818009,26981294,27016775,27079752,27211155,27229111,27235552,27243374,27634800,27804121,27810627,27855410,27923492,27927061,28177704,28244331,29025232,29108915,29328754,29477120,29640661,30464721,30563672,30611732,30612610,30635627,30639996,30977161,31089150,31098229,31340149,31506212,31653464,31685012,31699917,31943689,32064181,32184601,32237800,32323011,32420130,32627067,32653386,33161760,33250895,33292772,33426492,33504469,33748574,33982261,34265102,34384131,34581472,34919384,34930698,35372544,35610147,35645461,36267525,36471769,36735132,36765807,36942361,37034132,37306980,38092299,38120702,38346322,38479775,38685360,38696821,38887934,38898730,38904156,39165716,39220115,39284307,39625909,39786019,39794112,39901074,40204249,40319701,40673102,41125849,41264384,41435672,41436014,41898220,42519704,42613621,42841429,43175625,43238372,43360655,43387791,43409689,43521030,43732300,43749781,43969694,44202229,44474702,44540809,44768376,44979134,44991241,45347975,45356516,46054000,46080034,46175730,46237694,46422432,46615131,46670101,46678476,46734891,46850072,47064138,47333627,47669641,47743214,47834667,48332761,48446251,48773401,49182027,49254112,49612731,49633276,49760629,49979221,50261555,50277864,50364423,50555167,50631716,51365699,51810750,51849215,51858452,51866794,52032786,52149301,52225236,52478760,52706331,53258516,53328344,53330569,53713454,53783012,54184201,54417570,54453902,54652767,54780460,54821401,55005716,55264800,55317867,55410876,55636775,55877641,55977344,56176574,56422094,56507929,56562597,56717449,56837170,57031189,57402734,57635672,58045408,58486741,58900021,58949120,59038605,59062775,59854600,59994387,60132949,60313866,60573902,60575252,61659529,62067615,62172900,62219058,62467081,62513294,62959211,62974512,62996702,63006872,63479534,63584547,63669769,64079384,64202702,64465801,64840131,65158549,65301084,65369967,65552821,65736552,65828620,65885054,65939492,66205456,66284516,66317760,66603902,66631129,66764130,66848019,67321454,67330186,67336425,67894261,68204604,68280469,68524052,68868116,69208930,69718489,69883114,69909001,70071332,70289161,70384021,70738944,70846326,70875330,70882731,70889774,70904680,70951669,71140309,71196034,71215072,71234521,71363102,71825520,72089307,72545929,72638744,73379570,73953621,74095420,74481138,74607480,74852629,75126409,75600352,75656867,75722516,76063892,76395481,76485589,76531694,76613888,76681655,76935049,77074415,77417431,77561269,77969624,77981596,78183961,78257800,78272629,78307971,78464571,78620132,78858014,78994344,79331029,79553102,79580975,79581312,79767765,79943641,80116956,80803710,81082295,81158281,81330649,81718587,81729659,82138651,82864532,82869001,82953781,83050716,83696414,83933415,84133141,84218516,84839054,85050396,85085616,85295102,85381081,85401572,85546249,85554898,85934499,85957909,86190624,86422271,86531209,86751716,86770671,86887059,87505801,87566702,87586549,87688059,87715827,87828361,88040025,88055484,88101455,88868637,88914504,88941332,89186389,89344789,89528976,89670515,89782052,89896921,89941730,90273614,90289141,90367369,90704984,90957716,91869027,92017986,92146741,92188415,92299412,92385874,92489298,93182702,93223775,93587929,93909360,93973652,94112341,94350111,94800139,94961625,95076889,95224201,95497170,95721318,95810569,96174709,96185980,96247321,96651267,96812516,96897589,96950174,96964452,97298754,97312532,97399321,97978772,98392201,98869900,99092761,99833020,...,703945031144691223139668408089420519092760239501421336564813676291932600168857665652809693414313877970686809005671875716171547521876433846199696609800889809086025108913030005858816942807832792230218340574859802306801413402291138350374376707542898558220540323703039158841406455900798796452887567856226667454456765725938261565200221099038617507089133078035763992914200079081239270474485002094327213641664920329480939744786537705764318143597151182422926268251328105162867271638435791739780791089394043455396472101995096441455470921790483175457112454211985283743358626726246435908226888558080210037596000527750488921951400616634942813367364710100903915181726769398138099857910238168883109750719434560999677960377991475614110902076612115979567758273230359764555175842702346987353051670360657834049957724029038319913979470086242704597035946621321017635212496838391280522417212796487116937615931318773852688811531185229691067329724183368444744667504496623739995643275172155334944214400981561204165552615838898170784501988198206132776202367265216036038937177756065492566226922017711394194583388858497804494289039132775533172339401942503186915718214995601317014439261623845538947642685757135572022520020735342521963613157743586727514904897643934264918345176897147150817909776565197046887595009463231154094666109847216512577394608430886465433158978685271678983860562957179032639012590707959714655180387988341760400016868819006062805344766087176880755489418663937243935125938942741863803919336992493616076310145607876987528194813343897766046819836578728081890356913215775969424275958776371756330189347635449399427401546226666274078519656680802348503895600118576340712876244383622936270690378722983769511841693264086291307451409076380073485995419897136542909332363478525397395944977752555765801578210439799664584786271723102726500054853426572368617913064773930609299173890507715001530349269200729475045391342845214331525801447753770685960788727060588935752781144219465850827750551440676114828784942870965623216196500871055137951782034677095903355713703386182676143581781610616617570866361730077480354244630615622217229149505457152627301030809521820727503426009590594937269638857668289503837710405839839310202907227185581305040818546536676302531144004815540642290837216928467382606021082923858025959073085180069872413248022790125200963823620321260747877966574944710820718353320506378430430991617409615375904237718680736165565068078177004710406636961019825543406108695212408083559989292592082323777079337984146551180779682972431169294219221569534522671092776633123355222264009602389223841852706709359584119725055355729420254027433125552065694983673894145530693013540588374776794191235987966923373300527082108491226095930251696395545344903590171350516566981782731961537163772241219061871405841499062818180595901447631038195944065696115871964699495555241781939460218801774500337527055412099056773581211317141369411549190459108199966037084566112141589710420720143132962951165496872614687209154910831262111461418613081344704140240334161303603203985434672388903404767003075680147520629975425042337785011361267537873375870711633292336586041295695202294521896120233974714221472965197624425961888987298715823791873543319632752313234118101151129727096359984588681133396924942190601776937207004423211134088955604285441232122788778505004321919262194871879071276437120071916415140799509870378218375635138183426844545060044442749743334327385557290205926660969810454286046195012658182109022943181712948593950674856215982341600414164780289295192473816097713241896227196562970174508121257597942789713774461911377729854887646840328795256836663198203050671225747237574075758571706356117055518105636}
23051  25186509195152221562036806285986719757428660765426914658766864170952660373145: {483861,576025,691230,737312,806365,829476,967638,1151950,1312653,1382340,1474496,1658808,1866159,1957465,2140581,2187565,2348958,2554221,2625078,2740213,2786509,3292861,3337465,3706381,3914590,4004958,4191278,4697508,4811389,4945645,5087641,5294830,5572534,5823301,5934774,5987540,6093145,6353796,6601861,6651913,7092932,7185048,7311774,7340509,8083179,8381828,8385145,8609854,8732901,8997301,9362221,9431230,9529645,9986774,10062174,10132760,11317476,11370398,11399355,11417581,11435574,11815645,11887381,11974040,12122581,12159312,12247172,12500665,12674653,13340341,13470795,13679226,14178774,14184632,14266820,14368848,14822948,15000798,15562196,15920365,15957711,16026121,16164954,16220701,16310830,16489461,16613942,16926315,16931101,17120184,17179813,17495960,18054736,18517701,18684932,18997275,19057630,19104438,19242212,19260207,19337113,19572996,19682955,19953109,20150375,20263760,20311578,20347028,20944461,20995152,21175640,21915992,21967813,22053145,22557981,22680958,22796730,22869156,23172430,23619546,23694783,23765853,23822595,23823001,23831108,24180450,24316512,24337174,24480181,24542590,24655491,25397078,25410768,25706174,25752733,25774653,25792480,25987621,26125465,26336024,26463774,26692760,26743213,26977341,27254365,27356076,27521156,27696781,27716341,27778053,27806916,28208075,28494601,28587114,28786250,29016540,29351775,29451108,29628027,29730212,29959645,30029355,30116281,30258788,30554461,30635065,30950976,30974389,31308560,31350558,31382590,31535065,32031312,32328158,32705238,33471661,33755853,33849690,34044440,34433432,34543500,34819848,34850041,34904365,35015629,35222130,35382901,35951574,36035226,36106336,36256213,36281540,36762078,36846400,36924141,37080836,37204741,37570272,37659108,37823113,37842078,38204590,38264665,38299995,38737611,38796613,39010621,39172329,39289693,39382765,39566830,39606265,40297250,40471941,40618009,40619628,40786681,40853328,40865061,40993813,41018461,41452200,41615965,41783115,41885238,41995669,42266556,43097348,43226840,43502756,43537848,43583774,43649230,43993131,44031241,44215680,44249701,44568656,45013309,45026521,45512269,45845508,45917598,45918915,45959994,46083838,46292665,46404181,46574264,46633725,46662301,47163392,47259318,47480196,47527518,48356700,48630195,48957145,48980079,48980176,49021076,49456213,49652941,49742640,49939158,50139738,50431213,50622861,50789732,50966014,51397653,51580480,51794590,51872208,52372775,52379076,52396047,52562413,53058816,53149630,53192893,53201432,54047965,54665375,55102698,55131013,55427854,55551198,55960470,55970101,56008174,56069461,56408581,56695645,57000589,57181053,57460909,57519483,57567500,57850388,57929774,58028040,58331901,58348095,58356234,58454341,58463798,58562590,58748574,59016901,59691168,59851611,60271261,61009653,61058713,61567640,61896576,62041595,62153508,62154021,62237968,62313188,62624398,62752184,62847330,63024421,63289645,63375541,63558901,63779556,64407541,64823065,64857558,65281545,65576036,65598450,65777581,65893861,65954541,66017974,66150308,66573145,66660430,66712053,66893821,67037152,67135609,67152564,67228765,67234201,67315261,67468701,67874389,68034774,68223421,68475575,68650441,68757145,69023614,69081000,69120051,69263595,69356541,69377048,69425518,69633648,69971680,70017714,70026661,70275108,70318681,70596207,71614821,72044590,72228613,72556760,72870356,73686400,73757156,73881168,74155321,74353981,74449914,74818250,75137533,75416796,75719065,75947574,77716125,77723053,77787678,77800191,78049179,78249061,78337854,78572542,78718140,78758590,79366861,79451821,79623193,79887774,79992516,80099230,80243221,80418488,80570181,80674518,81626355,81680853,82170690,82285775,82424365,82508574,82587181,82683469,82756820,82855645,82897200,82958744,83116314,83638729,83966016,84028054,84264861,84633141,84779396,84917174,85255755,85655065,86085145,86104101,86453508,86476501,87068112,87110749,87159956,87589165,87596374,87648736,87809101,88012213,88423680,88491694,88597621,88630850,89018840,89130692,89414821,89781900,90018742,90470799,90688813,90798430,90860853,90862878,90939472,91885261,92619275,93259350,93328587,93633241,93769941,93904078,94318592,94461768,94495053,94500440,94510308,94653145,94938782,95079865,95219301,95749081,95767360,96016069,96119076,96304053,96736261,96923629,97215061,97462030,97476995,97822250,97951626,98275165,98604828,98742930,98827581,98881981,98909238,99308184,99426774,99476640,99485101,99512713,99860629,99905853,...,1055917546717036834709502612134130778639140359252132004847220514437898900253286498479214540121470816956030213508507813574257321282814650769299544914701334713629037663369545008788225414211749188345327510862289703460202120103436707525561565061314347837330810485554558738262109683851198194679331351784340001181685148588907392347800331648557926260633699617053645989371300118621858905711727503141490820462497380494221409617179806558646477215395726773634389402376992157744300907457653687609671186634091065183094708152992644662183206382685724763185668681317977925615037940089369653862340332837120315056394000791625733382927100924952414220051047065151355872772590154097207149786865357253324664626079151841499516940566987213421166353114918173969351637409845539646832763764053520481029577505540986751074936586043557479870969205129364056895553919931981526452818745257586920783625819194730675406423896978160779033217296777844536600994586275052667117001256744935609993464912758233002416321601472341806248328923758347256176752982297309199164303550897824054058405766634098238849340383026567091291875083287746706741433558699163299758509102913754780373577322493401975521658892435768308421464028635703358033780031103013782945419736615380091272357346465901397377517765345720726226864664847795570331392514194846731141999164770824768866091912646329698149738468027907518475790844435768548958518886061939571982770581982512640600025303228509094208017149130765321133234127995905865902688908414112795705879005488740424114465218411815481292292220015846649070229754868092122835535369823663954136413938164557634495284021453174099141102319339999411117779485021203522755843400177864511069314366575434404406035568084475654267762539896129436961177113614570110228993129845704814363998545217788096093917466628833648702367315659699496877179407584654089750082280139858552926869597160895913948760835761572502295523903801094212568087014267821497288702171630656028941183090590883403629171716329198776241625827161014172243177414306448434824294751306582706927673052015643855033570555079274014215372672415924926356299542595116220531366945923433325843724258185728940951546214282731091255139014385892405904458286502434255756565608759758965304360840778371957561227819805014453796716007223310963436255825392701073909031624385787038938609627770104808619872034185187801445735430481891121816949862417066231077529980759567645646487426114423063856356578021104248347602117265507065609955441529738315109163042818612125339983938888123485665619006976219826771169524458646753941328832354301784006639164949685032833396014403583835762779060064039376179587583033594130381041149688328098542475510841218296039520310882562165191286853981950385059950790623162736839143895377544593318017355385257025774850472674097942305745658361828592807108762248594227270893852171446557293916098544173807947049243332862672909190328202661750506290583118148585160371816975712054117323785688662299949055626849168212384565631080214699444426748245308922030813732366246893167192127919622017056210360501241955404805978152008583355107150504613520221280944963137563506677517041901306810063806067449938504879061943542803441782844180350962071332209447796436638942833480948073735687810314979449128469851177151726694590644539976883021700095387413285902665405810506634816701133433406428161848184183167757506482878893292307818606914655680107874622711199264805567327563452707275140266817590066664124615001491078335935308889991454715681429069292518987273163534414772569422890926012284323973512400621247170433942788710724146569862844340794844455261762181886396914184570661692867066594782331470260493192885254994797304576006838620856361113637857559534175583277158454}
23052  25276862606119580227745874884475155350462292593466225420158224862232333355273: {253451,299507,506858,529667,645148,713651,921640,943451,1036845,1059242,1105968,1244214,1290184,1335218,1356587,1451457,1727925,1750204,1814867,1843120,2043707,2073510,2162282,2211744,2488212,2500787,2854108,3002651,3131944,3405628,3458051,3500104,3523437,3937617,4087058,4139651,4366451,4411787,4547747,4909802,5183762,5339944,5497451,5871885,6007437,6128627,6263344,6286917,6443627,6824498,7046262,7072451,7117307,7484425,7520651,7913032,7915442,7942245,8012747,8187818,8358801,8459267,8471728,8682227,8732138,8866165,8902161,8981310,9004082,9083051,9260987,9530694,9580064,9749032,9749651,9794027,9927107,10477285,10632722,10639398,10777572,10812467,10903658,10967661,11342147,11474387,11643868,11738651,11985962,12178451,12411553,12572742,12665950,12792827,12796178,12836651,12914781,13416232,13449347,13886027,14143658,14146845,14408987,14800451,14967550,14980161,15089968,15093261,15199140,15247432,15278027,15308965,15797894,15841187,16024082,16212416,16292138,16963451,16976214,17055597,17135627,17153361,17221667,17730790,17833525,17961060,18238968,18294467,18370758,18528685,18905032,19063787,19149107,19158464,19176493,19452745,19497578,19532651,20001064,20340227,20518839,20552267,20806451,21268161,21276948,21400230,21553272,21623018,21869950,21985948,22234422,22325507,22493651,22501197,22568420,22826912,22871507,22946738,23044021,23081147,23332451,23343294,23356165,23959451,24052765,24247431,24334787,24466245,24626267,24690268,24920913,25329700,25433785,25472584,25583378,25622651,25680276,25829651,26077787,26097328,26243051,26243940,26469550,26490707,26861651,27082104,27231947,27394990,27682322,27847667,27925948,27993536,28027398,28298051,28586445,28656657,28728338,28863318,29250482,29359494,29511338,29788885,30077308,30129253,30395640,30467367,30492208,30520542,30553322,31101107,31333298,31343051,31383347,31492728,31593044,31687804,31763460,31986827,32107307,32187587,32240600,32422016,32788667,32873988,32920030,32948651,33148202,33308147,33365950,33387947,33507587,33746651,33881024,34021437,34195095,34303734,34366204,34401445,34440242,34700027,34758645,35285032,35429319,35688227,35746662,35969788,36205741,36270675,36474768,36500018,36505761,36813885,36945827,37037404,37075888,37162765,37823485,37922627,38038802,38095617,38116152,38559261,38688720,38855651,38997574,39135700,39268144,39436451,39504036,39668267,39695661,39976907,40039140,40438907,40752481,40784651,41034114,41168051,41267968,41281734,41609138,41710374,41800744,41970587,42555550,42655667,42708416,42845507,42857654,42877418,42880671,43041790,43130642,43179375,43383722,43413827,43524810,43606984,43791707,44176662,44244107,44582651,44595318,44646962,44899178,44995547,45007804,45132920,45351925,45388182,45482267,45930347,46058000,46351045,46426464,46551253,46674587,46962840,47025837,47073885,47378651,47600387,47895587,47935432,48046968,48337427,48492237,49016104,49034651,49057857,49232188,49363907,49765451,50093696,50212144,50311451,50456104,50638187,50774535,51066660,51434147,51650148,51815250,51902762,51938651,52154387,52229772,52833195,52902289,53335787,53549651,53636018,53871685,53927361,53962588,54033550,54052839,54159504,54224987,54295907,54378445,54422310,54458222,54471104,54486748,54650027,54826787,54908161,54932747,55143117,55144451,55269600,55285427,55461467,55608242,55621254,55710820,55846984,55854122,55939741,56355408,56488662,56548451,56757947,56763117,57036827,57280427,57306885,57593051,58050464,58078067,58217830,58492547,58595987,58657508,58954240,59112107,59281322,59350245,59523707,60173051,60445875,60547667,60704917,60853451,60929442,61127344,61192451,61223464,61225220,61271254,61276345,61279992,61496867,61665707,61954322,62178300,62196458,62680298,62827857,62908907,63012424,63306928,63370024,63376451,63399834,63487165,63676187,63887378,64128362,64369202,64373051,64475600,64505387,64646022,64840260,65165147,65198051,65254134,65306772,65375661,65395307,65473845,65887187,66323520,66344651,66501790,66585544,66670451,66852984,67008938,67497148,67610747,67933427,67964522,68415947,68530204,68608451,68768262,68876397,68939991,69125757,69162944,69725651,69757427,69838768,69861396,70366177,70391267,70517651,70745088,70888977,71147651,71179067,71220294,71290922,71291277,71899427,71959375,72117827,72312985,72535050,72588901,72832667,72943538,73049387,73203947,73470264,73481651,73531614,73666427,73884722,74068264,74524907,74613960,74860451,74908737,75164651,75209607,76184598,76223051,76241404,76449021,76523651,76692644,76959550,76973051,77301467,77370720,77390867,77393642,77599187,77691885,77775868,77797460,77808312,77891485,78192227,78280907,78331432,78440230,78487547,78568614,79251818,79572038,79588224,79724445,79802148,80039387,80408498,80639402,81195707,81346204,81683267,81940451,81970045,82251698,82528768,82654047,82687885,82871344,82872028,83141781,83326797,83666507,83796440,83940705,84012261,84170147,84754451,85039408,85227242,85417907,85583051,85682858,85885067,86351250,86476744,86567867,86721310,86775582,86819378,86894661,86948051,87042060,87380627,87464600,87499562,87534351,87596147,87623051,87695697,87843885,87939388,88122861,88404458,88426451,88559651,88949404,88984547,89063987,89081618,89196227,89354651,89381027,89412661,89536752,89958268,89982482,90168587,90299147,90377387,90403451,90695950,90713032,90767507,91087945,91310651,91344913,91722107,92108000,92160068,92196445,92351460,92462651,92475388,92691107,92844864,93230262,93340202,93356952,93469782,93598451,93700144,93936597,94122947,94128276,94270995,94371467,94667254,95234987,95339282,95486428,95669334,95845787,96185651,96282467,96330827,96548051,96589597,96665522,96892502,97286337,97291307,97362827,97505651,97546802,98333051,98364054,98397675,98426987,98508224,98544227,98824787,98918051,99026961,99034451,99225462,99266552,99521258,99958442,99990645,...,1583876320075555252064253918201196167958710538878198007270830771656848350379929747718821810182206225434045320262761720361385981924221976153949317372052002070443556495054317513182338121317623782517991266293434555190303180155155061288342347591971521755996215728331838107393164525776797292018997027676510001772527722883361088521700497472836889390950549425580468984056950177932788358567591254712236230693746070741332114425769709837969715823093590160451584103565488236616451361186480531414506779951136597774642062229488966993274809574028587144778503021976966888422556910134054480793510499255680472584591001187438600074390651387428621330076570597727033809158885231145810724680298035879986996939118727762249275410850480820131749529672377260954027456114768309470249145646080280721544366258311480126612404879065336219806453807694046085343330879897972289679228117886380381175438728792096013109635845467241168549825945166766804901491879412579000675501885117403414990197369137349503624482402208512709372493385637520884265129473445963798746455326346736081087608649951147358274010574539850636937812624931620060112150338048744949637763654370632170560365983740102963282488338653652462632196042953555037050670046654520674418129604923070136908536019698852096066276648018581089340296997271693355497088771292270096712998747156237153299137868969494547224607702041861277713686266653652823437778329092909357974155872973768960900037954842763641312025723696147981699851191993858798854033362621169193558818508233110636171697827617723221938438330023769973605344632302138184253303054735495931204620907246836451742926032179761148711653479009999116676669227531805284133765100266796766603971549863151606609053352126713481401643809844194155441765670421855165343489694768557221545997817826682144140876199943250473053550973489549245315769111376981134625123420209787829390304395741343870923141253642358753443285855701641318852130521401732245933053257445984043411774635886325105443757574493798164362438740741521258364766121459672652236442126959874060391509578023465782550355832618911021323059008623887389534449313892674330797050418885149988765586387278593411427319321424096636882708521578838608856687429753651383634848413139638447956541261167557936341841729707521680695074010834966445154383738089051610863547436578680558407914441655157212929808051277781702168603145722836682725424793625599346616294971139351468469731139171634595784534867031656372521403175898260598414933162294607472663744564227918188009975908332185228498428510464329740156754286687970130911993248531452676009958747424527549250094021605375753644168590096059064269381374550391195571561724532492147813713266261827444059280466323843247786930280972925577589926185934744105258715843066316889977026033077885538662275709011146913458618487542742889210663143372891340906340778257169835940874147816260711920573864999294009363785492303992625759435874677222877740557725463568081175985678532993449923583440273752318576848446620322049166640122367963383046220598549370339750788191879433025584315540751862933107208967228012875032660725756920280331921417444706345260016275562851960215095709101174907757318592915314205162674266270526443106998314171694654958414250221422110603531715472469173692704776765727590041885966809965324532550143081119928853998108715759952225051700150109642242772276274751636259724318339938461727910371983520161811934066798897208350991345179060912710400226385099996186922502236617503902963334987182073522143603938778480909745301622158854134336389018426485960268600931870755650914183066086219854794266511192266682892643272829595371276855992539300599892173497205390739789327882492195956864010257931284541670456786339301263374915737681}
23053  25367538014315314320591932301515876076162273282337058889998122460384137215406: {23053,760287,806435,967722,1128911,1152050,1382460,1474624,1588863,1612730,1658952,1866321,1935276,2002827,2187755,2303900,2625306,2740451,2764680,2948992,3062591,3110265,3243423,3293147,3317616,3567635,3732318,3891563,3914930,4257035,4281162,4375130,4672451,4697916,5108442,5250156,5480426,5573018,5686187,6130587,6585722,6674930,6882083,6923903,7364703,7412762,7434491,7775643,7829180,7846751,8009916,8382556,8530403,8675147,9395016,9622778,9891290,10055807,10175282,10236747,10569393,10589660,11064443,11145068,11646602,11739203,11869548,11873163,11975080,12186290,12281727,12707592,13098207,13203722,13303826,13341503,13471965,13506123,13548767,14048723,14185864,14296041,14370096,14554835,14623548,14681018,15949083,15959097,16166358,16355487,16541903,16763656,16770290,16807883,17219708,17465802,17500931,17911547,17978943,17994602,18724442,18859113,18862460,18998925,19059290,19194267,19567043,19954847,19973548,20009483,20124348,20265520,20670707,21215487,22288511,22451325,22634952,22740796,22798710,22835162,22871148,23580947,23631290,23696841,23774762,23948080,24036123,24245162,24318624,24438207,24494344,25001330,25349306,25464321,26596185,26625707,26680682,26941590,27358452,27482435,27556137,28210525,28357548,28369264,28497083,28533640,28737696,28931123,29246367,29645896,30001596,30712643,30862835,30874403,30977087,31124392,31662125,31840730,31846907,31915422,32052242,32100345,32329908,32434527,32441402,32621660,32804925,32978922,33227884,33351633,33852630,33862202,34240368,34359626,34420107,34907435,34991920,35014941,35385983,36109472,36550043,36575651,37035402,37369864,37596635,37994550,38115260,38156111,38208876,38375067,38484424,38520414,38674226,39145992,39365910,39491305,39609755,39704325,39906218,40300750,40527520,40621547,40623156,40694056,41092485,41382107,41523483,41888922,41943503,41990304,41999327,42041097,42272891,42351280,42889091,42957755,43092507,43294977,43419251,43831984,43875723,43935626,44039241,44106290,44149091,44267007,44962235,45030443,45115962,45361916,45516251,45593460,45738312,45780813,45829983,46296755,46344860,46408223,46999947,47239092,47389566,47531706,47645190,47646002,47662216,48360900,48476363,48633024,48674348,48866111,48919625,48960362,49085180,49211387,49310982,49380045,49722303,50048925,50794156,50821536,51412348,51455601,51505466,51549306,51584960,51660363,51975242,52250930,52672048,52927548,53197547,53385520,53486426,53570531,53619993,53787227,53954682,54508730,54712152,54750027,55042312,55135871,55274591,55393562,55432682,55448771,55556106,55613832,56187407,56259755,56416150,56989202,57058203,57174228,57462947,57572500,58033080,58262351,58496361,58703550,58902216,59256054,59460424,59919290,60058710,60232562,60517576,61108922,61270130,61540235,61551171,61901952,61922601,61948778,61969043,62413707,62565561,62617120,62701116,62765180,63070130,63833325,64062624,64286481,64316127,64562685,64656316,64695963,64809731,65075583,65287215,65410476,66098783,66146483,66264993,66892977,66943322,66970443,67044851,67348767,67453235,67511706,67699380,67908347,68082273,68088880,68108435,68242091,68465027,68540003,68866864,69082403,69087000,69638525,69639696,69700082,69808730,70031258,70444260,70765802,70831487,71765651,71903148,71999243,72070452,72212672,72512426,72563080,73321885,73524156,73692800,73848282,74161672,74409482,75140544,75144107,75318216,75646226,75667151,75684156,76118003,76409180,76529330,76531525,76599990,77475222,77593226,77722875,77854143,77874563,78021242,78344658,78579386,78591467,78765530,79133660,79212530,79373903,80215187,80454027,80594500,80943882,81050325,81236018,81239256,81573362,81633465,81687333,81706656,81730122,81987626,82036922,82904400,83231930,83412363,83431881,83566230,83770476,83781183,83991338,84371435,84533112,84732993,85662755,86194696,86453680,86858233,87005512,87075696,87167548,87298460,87326745,87718667,87986262,88062482,88431360,88499402,88605503,88787651,88921983,89137312,90026618,90053042,90752291,91024538,91394163,91691016,91835196,91837830,91906881,91919988,92167676,92383931,92476163,92585330,92808362,92931483,93010907,93148528,93202403,93267450,93294687,93324602,94020447,94120271,94326784,94518636,94960392,95055036,95099751,95301755,95831067,95865805,95970227,96192543,96260003,96553803,96650207,96713400,96969033,97219835,97246825,97260390,97716827,97881201,97914290,97960158,97960352,98042152,98366591,98720747,98912426,99270851,99305882,99485280,99752685,99878316,...,2111835093434073669419005224268261557278280718504264009694441028875797800506572996958429080242941633912060427017015627148514642565629301538599089829402669427258075326739090017576450828423498376690655021724579406920404240206873415051123130122628695674661620971109117476524219367702396389358662703568680002363370297177814784695600663297115852521267399234107291978742600237243717811423455006282981640924994760988442819234359613117292954430791453547268778804753984315488601814915307375219342373268182130366189416305985289324366412765371449526371337362635955851230075880178739307724680665674240630112788001583251466765854201849904828440102094130302711745545180308194414299573730714506649329252158303682999033881133974426842332706229836347938703274819691079293665527528107040962059155011081973502149873172087114959741938410258728113791107839863963052905637490515173841567251638389461350812847793956321558066434593555689073201989172550105334234002513489871219986929825516466004832643202944683612496657847516694512353505964594618398328607101795648108116811533268196477698680766053134182583750166575493413482867117398326599517018205827509560747154644986803951043317784871536616842928057271406716067560062206027565890839473230760182544714692931802794755035530691441452453729329695591140662785028389693462283998329541649537732183825292659396299476936055815036951581688871537097917037772123879143965541163965025281200050606457018188416034298261530642266468255991811731805377816828225591411758010977480848228930436823630962584584440031693298140459509736184245671070739647327908272827876329115268990568042906348198282204638679998822235558970042407045511686800355729022138628733150868808812071136168951308535525079792258873922354227229140220457986259691409628727997090435576192187834933257667297404734631319398993754358815169308179500164560279717105853739194321791827897521671523145004591047807602188425136174028535642994577404343261312057882366181181766807258343432658397552483251654322028344486354828612896869648589502613165413855346104031287710067141110158548028430745344831849852712599085190232441062733891846866651687448516371457881903092428565462182510278028771784811808916573004868511513131217519517930608721681556743915122455639610028907593432014446621926872511650785402147818063248771574077877219255540209617239744068370375602891470860963782243633899724834132462155059961519135291292974852228846127712713156042208496695204234531014131219910883059476630218326085637224250679967877776246971331238013952439653542339048917293507882657664708603568013278329899370065666792028807167671525558120128078752359175166067188260762082299376656197084951021682436592079040621765124330382573707963900770119901581246325473678287790755089186636034710770514051549700945348195884611491316723657185614217524497188454541787704342893114587832197088347615894098486665725345818380656405323501012581166236297170320743633951424108234647571377324599898111253698336424769131262160429398888853496490617844061627464732493786334384255839244034112420721002483910809611956304017166710214301009227040442561889926275127013355034083802613620127612134899877009758123887085606883565688360701924142664418895592873277885666961896147471375620629958898256939702354303453389181289079953766043400190774826571805330811621013269633402266866812856323696368366335515012965757786584615637213829311360215749245422398529611134655126905414550280533635180133328249230002982156671870617779982909431362858138585037974546327068829545138845781852024568647947024801242494340867885577421448293139725688681589688910523524363772793828369141323385734133189564662940520986385770509989594609152013677241712722227275715119068351166554316908}
23054  25458536559695455832356497953500428860987813674231354972801277405284210451214: {299533,506902,599014,851629,989473,1013716,1059334,1290296,1402573,1427302,1451583,1728075,1843280,1886902,2073690,2118484,2211936,2419095,2488428,2580368,2670436,2713174,2879875,2902914,3455850,3500408,3629734,3686240,3937959,4087414,4147020,4324564,4412173,4423488,4976424,5001574,5598477,5708216,5872395,6005302,6174193,6263888,6309229,6421743,6562695,6811256,6916102,7000208,7046874,7117933,7655629,7662663,7875234,8174116,8220639,8279302,8359527,8732902,8823574,9095494,9786475,9794893,9819604,9878583,10012395,10367524,10478195,10679888,10990129,10994902,11119143,11743770,11783713,12014874,12257254,12412631,12526688,12573834,12837793,12887254,13237075,13494253,13625329,13648996,13756333,13931335,14092524,14144902,14234614,14434167,14668199,14836935,14968850,15041302,15062413,15262923,15826064,15830884,15884490,16025494,16375636,16717602,16749553,16918534,16943456,17364454,17464276,17469903,17732330,17804322,17962620,18008164,18166102,18279435,18521974,19061388,19160128,19498064,19499302,19576993,19588054,19805583,19854214,19955739,20087329,20954570,21265444,21278796,21432551,21524635,21555144,21624934,21807316,21864433,21935322,22021527,22684294,22948774,23125153,23287736,23376433,23477302,23578075,23971924,24003373,24249537,24356902,24503629,24823106,24966935,25145484,25155435,25331900,25585654,25592356,25673302,25829562,25940159,26198703,26493133,26832464,26898694,26987629,26991903,27233843,27772054,28086663,28218829,28287316,28293690,28341553,28425995,28588935,28817974,28831729,29600902,29930413,29935100,29960322,30179936,30186522,30398280,30494864,30556054,30617930,30640951,31386253,31595788,31682374,32048164,32424832,32584276,32698631,32951713,33670129,33673871,33926902,33952428,34111194,34198065,34252743,34271254,34306722,34443334,34742893,35446935,35454829,35461580,35573233,35607299,35662143,35667050,35922120,36367743,36477936,36588934,36741516,37057370,37105933,37501995,37809229,37810064,38023959,38127574,38298214,38316928,38352986,38905490,38995156,39065302,39440173,39556129,40002128,40021023,40412385,40680454,40777075,40826893,41037678,41104534,41534855,41612902,41704439,41860129,41974573,42536322,42553896,42788603,42800460,43106544,43115053,43246036,43739900,43971896,44468844,44651014,44987302,45002394,45136840,45653824,45743014,45893476,46088042,46162294,46664902,46686588,46712330,47383213,47644075,47761095,47873133,47918902,47937073,48078363,48105530,48162023,48494862,48599329,48662103,48669574,48932490,49252534,49380536,49468383,49841826,50659400,50778945,50793303,50867570,50945168,51166756,51245302,51360552,51439153,51539439,51659302,51763693,52027871,52155574,52194656,52486102,52487880,52939100,52952879,52981414,53723302,54017329,54164208,54463894,54789980,55079329,55185133,55364644,55502113,55553103,55695334,55851896,55987072,56054796,56134129,56596102,56702395,56991825,57172890,57313314,57456676,57726636,57780621,57931075,58011339,58500964,58718988,59022676,59048865,59358253,59577770,59859327,60154616,60258506,60451125,60791280,60842935,60934734,60984416,61041084,61106644,61198573,61356475,62202214,62520887,62666596,62686102,62766694,62833383,62915233,62985456,63186088,63316129,63375608,63492695,63526920,63973654,64214614,64265435,64375174,64412653,64481200,64844032,64891463,65204653,65577334,65747976,65840060,65897302,65903439,66110603,66159435,66296404,66384013,66616294,66731900,66775894,67015174,67493302,67673943,67746829,67762048,68042874,68390190,68607468,68615473,68732408,68802890,68880484,69191329,69400054,69517290,69573793,69764593,70145329,70240333,70524913,70570064,70619629,70858638,71084349,71186413,71297559,71376454,71467785,71469003,71493324,71939576,71965625,72411482,72541350,72949536,73000036,73011522,73440543,73520113,73627770,73889329,73891654,73966473,74074808,74151776,74325530,75420359,75646970,75718129,75845254,76077604,76129823,76191234,76232304,76261153,77118522,77258199,77323959,77377440,77711302,77962863,77995148,78271400,78376395,78456475,78536288,78872902,79008072,79336534,79391322,79953814,80076973,80078280,80229639,80598829,80717527,80820395,80877814,80932023,81504962,81548833,81569302,81763095,82068228,82336102,82535936,82563468,83090343,83149023,83218276,83334159,83420748,83601488,83675533,83941174,84346573,84624225,84846829,84929953,85111100,85178893,85311334,85416832,85483803,85674829,85691014,85715308,85754836,85761342,85786883,86083580,86261284,86358750,86767444,86827654,87049620,87213968,87583414,87632653,88035313,88055325,88353324,88488214,88882031,88884081,89165302,89190636,89293924,89390893,89706829,89798356,89878935,89991094,90015608,90088065,90178573,90265840,90348843,90413473,90703850,90776364,90964534,91269229,91663383,91860694,91905195,92116000,92702090,92852928,92923167,93102506,93181729,93349174,93925680,94051674,94147770,94605195,94679329,94757302,95200774,95511475,95710513,95791174,95870864,96093936,96583153,96674854,96984474,97230829,97302433,98014513,98032208,98069302,98115714,98367853,98464376,98727814,98917075,98935903,99347629,99530902,...,3167752640151110504128507836402392335917421077756396014541661543313696700759859495437643620364412450868090640525523440722771963848443952307898634744104004140887112990108635026364676242635247565035982532586869110380606360310310122576684695183943043511992431456663676214786329051553594584037994055353020003545055445766722177043400994945673778781901098851160937968113900355865576717135182509424472461387492141482664228851539419675939431646187180320903168207130976473232902722372961062829013559902273195549284124458977933986549619148057174289557006043953933776845113820268108961587020998511360945169182002374877200148781302774857242660153141195454067618317770462291621449360596071759973993878237455524498550821700961640263499059344754521908054912229536618940498291292160561443088732516622960253224809758130672439612907615388092170686661759795944579358456235772760762350877457584192026219271690934482337099651890333533609802983758825158001351003770234806829980394738274699007248964804417025418744986771275041768530258946891927597492910652693472162175217299902294716548021149079701273875625249863240120224300676097489899275527308741264341120731967480205926564976677307304925264392085907110074101340093309041348836259209846140273817072039397704192132553296037162178680593994543386710994177542584540193425997494312474306598275737938989094449215404083722555427372533307305646875556658185818715948311745947537921800075909685527282624051447392295963399702383987717597708066725242338387117637016466221272343395655235446443876876660047539947210689264604276368506606109470991862409241814493672903485852064359522297423306958019998233353338455063610568267530200533593533207943099726303213218106704253426962803287619688388310883531340843710330686979389537114443091995635653364288281752399886500946107101946979098490631538222753962269250246840419575658780608791482687741846282507284717506886571711403282637704261042803464491866106514891968086823549271772650210887515148987596328724877481483042516729532242919345304472884253919748120783019156046931565100711665237822042646118017247774779068898627785348661594100837770299977531172774557186822854638642848193273765417043157677217713374859507302767269696826279276895913082522335115872683683459415043361390148021669932890308767476178103221727094873157361116815828883310314425859616102555563404337206291445673365450849587251198693232589942278702936939462278343269191569069734063312745042806351796521196829866324589214945327489128455836376019951816664370456996857020928659480313508573375940261823986497062905352019917494849055098500188043210751507288337180192118128538762749100782391143123449064984295627426532523654888118560932647686495573860561945851155179852371869488210517431686132633779954052066155771077324551418022293826917236975085485778421326286745782681812681556514339671881748295632521423841147729998588018727570984607985251518871749354445755481115450927136162351971357065986899847166880547504637153696893240644098333280244735926766092441197098740679501576383758866051168631081503725866214417934456025750065321451513840560663842834889412690520032551125703920430191418202349815514637185830628410325348532541052886213996628343389309916828500442844221207063430944938347385409553531455180083771933619930649065100286162239857707996217431519904450103400300219284485544552549503272519448636679876923455820743967040323623868133597794416701982690358121825420800452770199992373845004473235007805926669974364147044287207877556961819490603244317708268672778036852971920537201863741511301828366132172439709588533022384533365785286545659190742553711985078601199784346994410781479578655764984391913728020515862569083340913572678602526749831475362}
23055  25549859386225164888809927997826243492937707825686345026986916449029108103444: {46106,760353,898521,1129009,1267145,1520574,1589001,1612870,1935444,2140953,2257822,2304100,2648105,2764920,2830353,2949248,3062857,3110535,3177726,3225460,3317904,3338045,3732642,3870552,3891901,4005654,4069761,4306049,4354371,4375510,4607800,4994689,5183775,5250612,5405705,5444601,5480902,5529360,5824313,5897984,5959849,6125182,6131121,6220530,6486846,6586294,6635232,6653069,7135270,7464636,7502361,7783126,7829860,8309137,8514070,8562324,8750260,9007953,9273433,9344902,9395832,10216884,10217645,10374153,10374353,10500312,10570311,10960852,11146036,11372374,11812851,12261174,12274505,12418953,12959405,13099353,13171444,13235361,13349860,13643241,13764166,13847806,14729406,14825524,14868982,15343001,15551286,15658360,15693502,16019832,16492353,16765112,17060806,17061245,17350294,17615655,17941913,18022311,18385881,18785281,18790032,18860751,19245556,19330881,19782580,19788605,20111614,20350564,20376769,20469545,20473494,20963393,21138786,21179320,21217353,21351921,21830345,22096273,22128886,22290136,22453275,22510205,22561953,23293204,23478406,23583001,23739096,23746326,23826735,23950160,24038241,24372580,24563454,25076403,25377801,25415184,25489673,26046681,26196414,26407444,26581805,26598495,26607652,26683006,26706483,26943930,26996849,27012246,27097534,27249153,27259145,27782961,28097446,28371728,28592082,28740192,29109670,29247096,29248953,29362036,29382081,29781321,29964905,31174361,31431855,31664875,31849681,31898166,31918194,31990445,32332716,32437401,32710974,32902983,33083806,33527312,33540580,33615766,34026441,34423161,34439416,34520849,34931604,35001862,35215953,35309501,35359145,35823094,35957886,35989204,36535353,37234659,37418875,37448884,37495313,37718226,37724920,37997850,38118580,38378481,38388534,38475409,38509953,38617613,38744343,39134086,39382829,39494735,39909694,39947096,40018966,40060205,40248696,40348041,40531040,40730345,41341414,41658081,42025049,42430974,42440535,43207969,43226961,43423033,43523513,44326975,44401353,44577022,44902650,44940483,45269904,45279783,45481592,45597420,45670324,45742296,45834081,45926895,46964321,47161894,47262580,47393682,47523561,47549524,47896160,48014153,48072246,48490324,48637248,48743945,48870409,48876414,48988688,49894253,50002660,50698612,50720849,50890353,50928642,51013889,51166791,51406881,51460083,51665001,52635289,53192370,53251414,53336429,53361364,53500575,53791933,53883180,54057545,54674875,54716904,54883401,54964870,55112274,55223801,55287827,55453657,55586055,56421050,56715096,56738528,56974049,56994166,57067280,57191361,57366845,57447321,57475392,57529479,57862246,58358235,58464593,58492734,58597953,59200397,59291792,60003192,60140857,61020681,61425286,61556517,61656801,61725670,61748806,61954174,62248784,62419353,62947129,63324250,63681460,63693814,63804483,63830844,63958445,64104484,64200690,64418849,64659816,64815457,64869054,64882804,64930769,65243320,65609850,65957844,66173875,66455768,66703266,66787073,66976521,67480953,67503591,67705260,67724404,68480736,68487475,68614521,68719252,68840214,69000713,69132063,69205805,69243441,69559937,69814870,69983840,69997353,70029882,70068495,70771966,71742761,71820845,71878353,72158295,72218944,72742293,73004361,73100086,73126205,73151302,73186753,73326473,73398735,73778345,73878801,74070804,74739728,74762739,75193270,75989100,76230520,76301355,76312222,76383305,76417752,76540769,76750134,76867953,76968848,77040828,77348452,77488953,78233361,78291984,78333245,78729153,78731820,78763657,78982610,79219510,79249049,79408650,79472121,79812436,79843697,80584953,80601500,81055040,81243094,81246312,81388112,81695841,82184970,82263469,82300075,82764214,82870505,83046966,83414875,83543001,83777844,83887006,83980608,83998654,84082194,84545782,84702560,84894153,85759335,85778182,85915510,85969971,86100605,86156329,86185014,86589954,86634449,86838502,87663968,87751446,87871252,88027649,88078482,88109153,88212580,88298182,88534014,89366655,89924470,90060886,90231924,90387759,90723832,90955961,91032502,91186920,91250045,91402101,91476624,91561626,91659966,92593510,92689720,92816446,93303321,93999894,94029153,94085801,94150041,94434529,94478184,94779132,95063412,95097005,95290380,95292004,95324432,95351809,95960481,96321921,96562761,96721800,96952726,97232129,97266048,97348696,97493935,97732222,97839250,97920724,98170360,98366001,98422774,98621964,98760090,98845953,98851517,99233257,99444606,99878273,99924441,...,4751628960226665756192761754603588503876131616634594021812492314970545051139789243156465430546618676302135960788285161084157945772665928461847952116156006211330669485162952539547014363952871347553973798880303665570909540465465183865027042775914565267988647184995514322179493577330391876056991083029530005317583168650083265565101492418510668172851648276741406952170850533798365075702773764136708692081238212223996343277309129513909147469280770481354752310696464709849354083559441594243520339853409793323926186688466900979824428722085761434335509065930900665267670730402163442380531497767041417753773003562315800223171954162285863990229711793181101427476655693437432174040894107639960990817356183286747826232551442460395248589017131782862082368344304928410747436938240842164633098774934440379837214637196008659419361423082138256029992639693916869037684353659141143526316186376288039328907536401723505649477835500300414704475638237737002026505655352210244970592107412048510873447206625538128117480156912562652795388420337891396239365979040208243262825949853442074822031723619551910813437874794860180336451014146234848913290963111896511681097951220308889847465015960957387896588128860665111152010139963562023254388814769210410725608059096556288198829944055743268020890991815080066491266313876810290138996241468711459897413606908483641673823106125583833141058799960958470313334987278728073922467618921306882700113864528290923936077171088443945099553575981576396562100087863507580676455524699331908515093482853169665815314990071309920816033896906414552759909164206487793613862721740509355228778096539283446134960437029997350030007682595415852401295300800390299811914649589454819827160056380140444204931429532582466325297011265565496030469084305671664637993453480046432422628599829751419160652920468647735947307334130943403875370260629363488170913187224031612769423760927076260329857567104923956556391564205196737799159772337952130235323907658975316331272723481394493087316222224563775094298364379017956709326380879622181174528734070397347651067497856733063969177025871662168603347941678022992391151256655449966296759161835780234281957964272289910648125564736515826570062289260954150904545239418915343869623783502673809025525189122565042085222032504899335463151214267154832590642309736041675223743324965471638789424153833345106505809437168510048176274380876798039848884913418054405409193417514903787353604601094969117564209527694781795244799486883822417991233692683754564029927724996555685495285531392989220470262860063910392735979745594358028029876242273582647750282064816127260932505770288177192808144123651173586714685173597476443441139798785482332177841398971529743360790842918776732769778557804232315776147529198950669931078099233656615986827127033440740375855462628228667631989430118674022719022334771509507822622443448782135761721594997882028091356476911977877278307624031668633221673176390704243527957035598980349770750320821256955730545339860966147499920367103890149138661795648111019252364575638299076752946622255588799321626901684038625097982177270760840995764252334119035780048826688555880645287127303524723271955778745942615488022798811579329320994942515083964875242750664266331810595146417407521078114330297182770125657900429895973597650429243359786561994326147279856675155100450328926728316828824254908779172955019815385183731115950560485435802200396691625052974035537182738131200679155299988560767506709852511708890004961546220566430811816335442729235904866476562403009167055279457880805802795612266952742549198258659564382799533576800048677929818488786113830567977617901799676520491616172219367983647476587870592030773793853625011370359017903790124747213043}
23056  25641507641892736430360556481838551418122878586648647492612435227847635418282: {69159,391663,599066,667783,1013804,1198028,1219159,1703258,1906759,1978946,2027432,2118668,2280861,2419305,2580592,2592559,2805146,2854604,2880125,2903166,3386733,3413143,3456150,3686560,3773804,4031825,4094983,4147380,4236968,4423872,4503223,4766589,4838190,4976856,5160736,5340872,5426348,5453263,5598963,5759750,5805828,6008481,6129703,6563265,6911700,7000816,7208263,7259468,7372480,7875918,7880023,8148223,8174828,8221353,8294040,8649128,8824346,8846976,9187773,9330795,9484903,9730269,9787325,9879441,9952848,10003148,10017559,10702905,10937825,11196954,11416432,11674689,11744790,12010604,12348386,12527776,12618458,12771105,12843486,13125390,13189303,13622512,13701065,13832204,13932545,14000416,14017353,14093748,14235866,14498623,14669473,14759623,15311258,15325326,15750468,16348232,16441278,16464305,16558604,16687325,16719054,17058561,17224759,17465804,17647148,17740423,17997823,18190988,18383383,18391761,18531905,19152559,19503869,19572950,19589786,19639208,19757166,20024790,20646249,20735048,20771709,20937223,20956390,21359776,21571183,21697759,21980258,21989804,22094109,22238286,22303473,22455703,23326929,23487540,23540253,23567426,24029748,24056945,24514508,24728225,24825262,25053376,25147668,25438205,25461559,25591209,25675586,25774508,26025441,26082559,26474150,26578063,26988506,27250658,27297992,27512666,27862670,27934759,28057663,28185048,28289804,28469228,28671103,28868334,29116505,29336398,29673870,29770759,29937700,30082604,30124826,30134489,30167421,30465725,30500623,30525846,30710241,31106863,31652128,31661768,31708179,31768980,32050988,32073103,32193559,32313943,32751272,33009305,33193329,33259565,33394159,33435204,33499106,33837068,33886912,34728908,34928552,34939806,34953709,35062903,35217609,35464660,35608644,35619489,35925240,36016328,36212033,36332204,36482023,36558870,36702545,36845181,36952759,37043948,38007703,38122776,38320256,38996128,38998604,39153986,39176108,39294621,39611166,39708428,39752983,39796393,39911478,40024509,40174658,40331143,40415895,40446559,40518369,40646301,41137543,41909140,41925725,42054823,42146169,42530888,42557592,42853663,42865102,42888123,43049270,43110288,43249868,43614632,43664505,43728866,43870644,44043054,44986505,45004159,45368588,45897548,46013743,46250306,46575472,46752866,46811105,46954604,47128663,47156150,47345969,47648225,47683423,47847249,47877291,47904823,47943848,48006746,48457063,48499074,48713804,49007258,49066461,49446559,49625709,49646212,49884463,49933870,50290968,50310870,50423649,50568349,50663800,51171308,51184712,51346604,51659124,51880318,52272343,52397406,52502793,52810183,52986266,53664928,53734641,53797388,53936829,53975258,53983806,54200143,54306559,54467686,54731503,54943543,55472383,55544108,56173326,56437658,56574632,56577339,56587380,56683106,56851990,56996775,57087905,57177870,57361303,57582801,57635948,57663458,58089583,58148797,58607623,58701129,58917583,59078225,59123863,59201804,59436905,59860826,59864541,59870200,59920644,60028449,60359872,60373044,60612905,60796560,60989728,61112108,61235860,61281902,61576759,62012121,62183503,62485903,62503325,62772506,62988463,63191576,63364748,63373265,63589159,63646461,64039613,64096328,64849664,65168552,65397262,65671183,65903426,65966023,66162223,66701705,66865533,67340258,67347742,67353975,67853804,67904856,68222388,68396130,68505486,68542508,68613444,68886668,69485786,69930559,70405759,70742841,70893870,70909658,70923160,71090523,71146466,71214598,71256583,71324286,71334100,71844240,72108369,72661663,72735486,72955872,73126423,73151969,73177868,73314621,73483032,73888321,74114740,74211866,74967463,75003990,75618458,75620128,76047918,76255148,76392963,76509703,76596428,76633856,76705972,77810980,77990312,78130604,78297463,78563143,78880346,79112258,79383353,79444063,79601825,79788555,79877121,79969159,80004256,80042046,80056423,80130605,80404759,80824770,81103505,81184303,81360908,81554150,81653786,82075356,82209068,82447305,82668411,82980559,83069710,83225804,83408878,83720258,83740663,83949146,84631575,84655505,85072644,85107792,85180109,85491249,85491559,85577206,85600920,85899065,86213088,86230106,86284253,86314159,86492072,86793369,87453703,87479800,87615343,87739101,87943792,88889773,88937688,89302028,89453503,89848063,89971609,89974604,90004788,90273680,90397423,91307648,91486028,91562743,91786952,92137929,92176084,92177623,92254159,92324588,92588505,92623209,92931261,93329804,93373176,93424660,93769759,94218823,94766426,94986375,95182903,95288150,95330143,95393441,95522190,95540721,95746266,95837804,95874146,96156726,96211060,96280183,96301035,96324046,96352759,96685565,96989724,97198658,97303581,97324206,97339148,97432759,97864980,98214463,98414775,98505068,98566903,98761072,98936766,99683652,99765545,...,6335505280302221008257015672804784671834842155512792029083323086627393401519718990875287240728824901736181281051046881445543927696887904615797269488208008281774225980217270052729352485270495130071965065173738220761212720620620245153369390367886087023984862913327352429572658103107189168075988110706040007090110891533444354086801989891347557563802197702321875936227800711731153434270365018848944922774984282965328457703078839351878863292374360641806336414261952946465805444745922125658027119804546391098568248917955867973099238296114348579114012087907867553690227640536217923174041997022721890338364004749754400297562605549714485320306282390908135236635540924583242898721192143519947987756474911048997101643401923280526998118689509043816109824459073237880996582584321122886177465033245920506449619516261344879225815230776184341373323519591889158716912471545521524701754915168384052438543381868964674199303780667067219605967517650316002702007540469613659960789476549398014497929608834050837489973542550083537060517893783855194985821305386944324350434599804589433096042298159402547751250499726480240448601352194979798551054617482528682241463934960411853129953354614609850528784171814220148202680186618082697672518419692280547634144078795408384265106592074324357361187989086773421988355085169080386851994988624948613196551475877978188898430808167445110854745066614611293751113316371637431896623491895075843600151819371054565248102894784591926799404767975435195416133450484676774235274032932442544686791310470892887753753320095079894421378529208552737013212218941983724818483628987345806971704128719044594846613916039996466706676910127221136535060401067187066415886199452606426436213408506853925606575239376776621767062681687420661373958779074228886183991271306728576563504799773001892214203893958196981263076445507924538500493680839151317561217582965375483692565014569435013773143422806565275408522085606928983732213029783936173647098543545300421775030297975192657449754962966085033459064485838690608945768507839496241566038312093863130201423330475644085292236034495549558137797255570697323188201675540599955062345549114373645709277285696386547530834086315354435426749719014605534539393652558553791826165044670231745367366918830086722780296043339865780617534952356206443454189746314722233631657766620628851719232205111126808674412582891346730901699174502397386465179884557405873878924556686538383138139468126625490085612703593042393659732649178429890654978256911672752039903633328740913993714041857318960627017146751880523647972994125810704039834989698110197000376086421503014576674360384236257077525498201564782286246898129968591254853065047309776237121865295372991147721123891702310359704743738976421034863372265267559908104132311542154649102836044587653834473950170971556842652573491565363625363113028679343763496591265042847682295459997176037455141969215970503037743498708891510962230901854272324703942714131973799694333761095009274307393786481288196666560489471853532184882394197481359003152767517732102337262163007451732428835868912051500130642903027681121327685669778825381040065102251407840860382836404699631029274371661256820650697065082105772427993256686778619833657000885688442414126861889876694770819107062910360167543867239861298130200572324479715415992434863039808900206800600438568971089105099006545038897273359753846911641487934080647247736267195588833403965380716243650841600905540399984747690008946470015611853339948728294088574415755113923638981206488635416537345556073705943841074403727483022603656732264344879419177066044769066731570573091318381485107423970157202399568693988821562959157311529968783827456041031725138166681827145357205053499662950724}
23057  25733482478723655504499326231298322703649324870099450764087563887526365758774: {23057,92212,898599,1267255,1497535,1520706,1774003,1797042,2258018,2534290,2554887,2648335,2968419,3041148,3178002,3225740,3568255,3707347,3870888,4207719,4281906,4306423,4354749,4515644,4608200,4673263,4717255,4812643,5088967,5184225,5296210,5529840,5660706,5898496,6125714,6221070,6355452,6450920,6635808,6676090,6782935,6883279,7257285,7342423,7435783,7465284,7567987,7741104,7783802,8011308,8139522,8612098,8639625,8708742,8751020,8999647,9074335,9215600,9989378,10218535,10367550,10501224,10811410,10880419,10889202,10961804,11058720,11344423,11648626,11795968,11813877,11919698,12172819,12250364,12260599,12262242,12441060,12503935,12973692,13172588,13236519,13270464,13306138,13404919,14270540,14304703,14468887,14929272,15004722,15013255,15566252,15659720,16401139,16618274,16795431,17028140,17124648,17184307,17290255,17500520,17617185,18015906,18143167,18371407,18447319,18522579,18546866,18689804,18791664,18927687,19265229,19688085,20433768,20435290,20698255,20748306,20748706,20965219,21000624,21140622,21204079,21353799,21682399,21832255,21921704,22058935,22292072,22738735,22744748,22966887,22987989,23625702,23885743,24522348,24549010,24661917,24774919,24837906,25078581,25918810,25994419,26166247,26198706,26342888,26470722,26699720,27286482,27487255,27501463,27528332,27695612,27704047,28657363,29359425,29384679,29458812,29635749,29651048,29737964,30037185,30124159,30562483,30643135,30686002,30836623,31102572,31316720,31387004,31434585,31514287,31905367,32039664,32218135,32231119,32970387,32984706,33357429,33530224,34121612,34122490,34700588,35024803,35231310,35351139,35362255,35586535,35883826,36044622,36771762,37214527,37237893,37422125,37498579,37570562,37580064,37603255,37721502,37744639,37833007,38162803,38491112,38513379,38551519,38661762,39565160,39577210,39711225,39950047,40063735,40162687,40223228,40482759,40501399,40701128,40753538,40797367,40875987,40939090,40946988,41268999,41794005,41926786,41950867,42277572,42296335,42358640,42434706,42703842,43302501,43411135,43660690,44004597,44016103,44192546,44257772,44330825,44510805,44580272,44613223,44786623,44906550,45020410,45123906,45187239,45415255,45788769,46304935,46586408,46956812,47166002,47478192,47492652,47653470,47900320,48076482,48516919,48745160,48748255,48970135,49126908,49502803,49635535,49665967,49898599,50123863,50152806,50248659,50725267,50755602,50830368,50979346,51172447,51436879,52093362,52328119,52386425,52392828,52409709,52814888,53163610,53196990,53215304,53366012,53412966,53887860,53993698,54024492,54062335,54115063,54195068,54498306,54518290,54838305,55292629,55565922,56084287,56194892,56710735,56743456,56743999,57015523,57022483,57184164,57371935,57476023,57480384,58219340,58494192,58497906,58693255,58724072,58730979,58764162,59032339,59416749,59562642,59571679,59611303,59867217,59929810,59959603,60261987,60892255,62057765,62348722,62863710,63283183,63329750,63392167,63699362,63796332,63836388,63964135,63980890,64183255,64297653,64573905,64665432,64874802,65421948,65593299,65805966,65911219,66064581,66167612,66911347,67054624,67081160,67231532,67246735,67332967,67397143,68052882,68241523,68668399,68846322,68878832,69041698,69094519,69375459,69377143,69430135,69566023,69863208,70003724,70044979,70129299,70337143,70431906,70439527,70619002,70718290,70734225,71123863,71646188,71915772,71978408,72010119,72044935,72247507,72569683,72748611,73070706,73510887,74002255,74174719,74292943,74469318,74837750,74897768,74900805,74990626,75436452,75449840,75466305,75680563,75995700,76131367,76237160,76390135,76544825,76756962,76777068,76789603,76950818,77019906,77235226,77488686,77743459,77820477,78268172,78596109,78696847,78765658,78989470,79205935,79479399,79819388,79894192,80037932,80120410,80313583,80497392,80696082,80962887,80975709,81062080,81449287,81460690,81701529,82550263,82608847,82682828,83316162,84050098,84182263,84259989,84344383,84656487,84817255,84861948,84881070,85024659,85277985,85678135,85743379,85766805,86108335,86415938,86453922,86495187,86499247,86642083,86658559,86846066,87047026,87133783,88653950,88802706,88803223,89154044,89167625,89541823,89791239,89805300,89880966,90338527,90539808,90559566,90963184,90963919,91194840,91340648,91472335,91484592,91555123,91668162,91853790,91922853,92643425,93657967,93928642,94158759,94323788,94525160,94787364,95047122,95099048,95137039,95318935,95745535,95774167,95792320,95878543,95882465,96028306,96144492,96888127,96980648,97263725,97274496,97487890,97663255,97740818,97752828,97977376,98095893,98383843,98855139,99538927,99788506,...,9503257920453331512385523509207177007752263233269188043624984629941090102279578486312930861093237352604271921576570322168315891545331856923695904232312012422661338970325905079094028727905742695107947597760607331141819080930930367730054085551829130535977294369991028644358987154660783752113982166059060010635166337300166531130202984837021336345703296553482813904341701067596730151405547528273417384162476424447992686554618259027818294938561540962709504621392929419698708167118883188487040679706819586647852373376933801959648857444171522868671018131861801330535341460804326884761062995534082835507546007124631600446343908324571727980459423586362202854953311386874864348081788215279921981634712366573495652465102884920790497178034263565724164736688609856821494873876481684329266197549868880759674429274392017318838722846164276512059985279387833738075368707318282287052632372752576078657815072803447011298955671000600829408951276475474004053011310704420489941184214824097021746894413251076256234960313825125305590776840675782792478731958080416486525651899706884149644063447239103821626875749589720360672902028292469697826581926223793023362195902440617779694930031921914775793176257721330222304020279927124046508777629538420821451216118193112576397659888111486536041781983630160132982532627753620580277992482937422919794827213816967283347646212251167666282117599921916940626669974557456147844935237842613765400227729056581847872154342176887890199107151963152793124200175727015161352911049398663817030186965706339331630629980142619841632067793812829105519818328412975587227725443481018710457556193078566892269920874059994700060015365190831704802590601600780599623829299178909639654320112760280888409862859065164932650594022531130992060938168611343329275986906960092864845257199659502838321305840937295471894614668261886807750740521258726976341826374448063225538847521854152520659715134209847913112783128410393475598319544675904260470647815317950632662545446962788986174632444449127550188596728758035913418652761759244362349057468140794695302134995713466127938354051743324337206695883356045984782302513310899932593518323671560468563915928544579821296251129473031653140124578521908301809090478837830687739247567005347618051050378245130084170444065009798670926302428534309665181284619472083350447486649930943277578848307666690213011618874337020096352548761753596079697769826836108810818386835029807574707209202189938235128419055389563590489598973767644835982467385367509128059855449993111370990571062785978440940525720127820785471959491188716056059752484547165295500564129632254521865011540576354385616288247302347173429370347194952886882279597570964664355682797943059486721581685837553465539557115608464631552295058397901339862156198467313231973654254066881480751710925256457335263978860237348045438044669543019015645244886897564271523443189995764056182712953823955754556615248063337266443346352781408487055914071197960699541500641642513911461090679721932294999840734207780298277323591296222038504729151276598153505893244511177598643253803368077250195964354541521681991528504668238071560097653377111761290574254607049446543911557491885230976045597623158658641989885030167929750485501328532663621190292834815042156228660594365540251315800859791947195300858486719573123988652294559713350310200900657853456633657648509817558345910039630770367462231901120970871604400793383250105948071074365476262401358310599977121535013419705023417780009923092441132861623632670885458471809732953124806018334110558915761611605591224533905485098396517319128765599067153600097355859636977572227661135955235803599353040983232344438735967294953175741184061547587707250022740718035807580249494426086}
23058  25825785052794701337637217604315394404718321408184808013316604276940730843783: {115265,138318,391697,437741,667841,713837,783326,851777,943697,1081517,1198132,1335566,2027608,2227217,2281059,2396056,2438318,2695563,3140177,3387027,3406516,3458957,3595457,3801435,3813518,3957892,4032175,4054864,4140737,4237336,4503617,4548941,4561722,4767003,4838610,5161184,5185118,5498897,5610292,5644555,5709208,5724557,5760250,5806332,6175277,6400337,6422859,6773466,6826286,6912300,6984557,7208897,7373120,7522637,7547608,7656977,7925441,7944315,8063650,8148941,8189966,8294760,8327597,8473936,8491059,8595341,8818241,8847744,9006446,9188571,9331605,9485741,9530177,9533178,9676380,9929741,9953712,10014135,10321472,10681744,10852696,10906526,10938775,10992077,11080397,11197926,11477441,11519500,11611656,11675703,12016962,12209283,12259406,12313517,12533057,12918147,12971537,13063113,13126530,13702255,13823400,13846097,14001632,14416526,14518936,14744960,14804417,14984067,15151937,15312955,15455597,15551325,15751836,15760046,15845441,16217115,16296446,16333803,16349656,16442706,16465735,16588080,16752557,17298256,17472939,17527277,17648692,17693952,17838175,17879547,18042317,18375546,18393363,18427841,18661590,18969806,19181491,19457815,19460538,19505563,19574650,19665677,19758882,19905696,19959207,20006296,20035118,20175917,20557841,20939117,21285175,21361997,21405810,21868397,21875650,22393908,22457741,22499777,22507083,22709837,22832864,23050027,23338817,23349378,23362255,23489580,24021208,24091217,24696772,24757841,24927411,25055552,25236916,25542210,25686972,25944667,25960877,26250780,26378606,26580497,26992577,27023859,27245024,27402130,27444941,27664408,27820299,27865090,28000832,28034706,28101197,28187496,28305857,28428557,28430935,28471732,28673741,28714577,28997246,29338946,29519246,30503441,30622516,30650652,30652935,31122459,31123059,31271117,31500936,31512941,31710933,31754477,31955537,32116241,32316941,32696464,32882556,32928610,33117208,33374650,33438108,33516941,33676397,33679723,33756077,34117122,34410415,34449518,34619515,34931608,35294296,35438553,35461457,35480846,35613487,35658797,35995646,36381976,36766766,36783522,36823515,37063810,37112897,37172455,37256859,38050241,38305118,38478317,38866637,38878215,39007738,39145900,39176717,39179572,39233755,39278416,39298059,39514332,39563597,39640877,39706083,39795341,39988241,40049580,40219457,40763107,40929723,41179757,41292498,41470096,41543418,41874446,41912780,42058817,42096941,42629837,42652015,42719552,42796039,42857741,43142366,43375735,43395518,43960516,43979608,43992941,44188218,44219117,44476572,44557841,44606946,44708177,44911406,45158417,45495341,46029003,46213027,46563391,46653858,46836557,46975080,47080506,47134852,47170241,47503277,47909441,47946317,48059496,48113890,48461741,48498497,48682157,49029016,49158737,49456450,49477059,49650524,49889297,50106752,50279035,50295336,50435117,50652941,50876410,50923118,51182418,51183735,51351172,51383563,51549016,52050882,52165118,52277441,52313357,52815341,52846965,52916083,52948300,53156126,53494097,53825739,53977012,54027917,54066933,54240941,54501316,54595984,54772241,54948941,55025332,55157643,55160717,55322215,55513037,55725340,55869518,55954327,56115326,56355843,56370096,56530241,56579608,56582253,56670017,56938456,57342206,57714257,57736668,57992643,58233010,58406417,58613441,58672796,58696015,59347740,59365815,59438657,59541518,59644241,59875400,60165208,60249652,60268978,60334842,60361517,60803777,60931450,61001246,61051692,61130307,61210817,61312397,61408635,61420482,61515341,62021441,62213726,62223377,62890179,62981107,62994797,63028241,63304256,63323536,63395597,63416358,63537960,63652059,63828497,64055763,64101976,64146206,64387118,64491857,64627886,65184941,65316557,65491035,65502544,65513741,65535547,65710637,66018610,66168941,66201617,66288819,66364877,66386658,66519130,66707515,66788318,66870408,66998212,67359825,67530615,67631441,67674136,67685859,67743835,67773824,67825217,68436941,68725697,68885837,69365057,69457816,69747137,69857104,69879612,69907418,70125806,70243615,70318097,70435218,70539437,70634177,70749003,70929320,71169677,71217288,71238978,71263937,71480205,71850480,72032656,72114723,72233741,72424066,72664408,72700241,72774175,72964046,73117740,73405090,73504577,73690362,73904717,73905518,73966157,74087896,74364737,74975297,75005741,75229209,75683179,76015406,76066241,76133403,76245552,76337357,76469019,76547777,76637837,76640512,76967441,77087057,77415341,77712941,77891117,77992256,77997208,78140043,78305741,78307972,78352216,78589242,78600941,79222332,79416856,79481741,79505966,79592786,79745415,79795485,79822956,79923067,80049018,80094017,80119449,80239277,80349316,80662286,80831790,80893118,80990547,81036738,81049037,81221741,81292602,81480257,81747459,81758083,81777435,82052417,82275086,82394177,82678097,82709515,83211667,83348883,83749697,83777741,83818280,83851450,84039415,84109646,84292338,84858067,84865217,85061776,85115184,85693457,85707326,85730204,85776246,85995341,86098540,86159597,86220576,86452327,86499736,86677841,86976557,87229264,87329010,87457732,87490241,87504655,87651857,87741288,87746859,88086108,88146243,88668737,88722571,88828241,89093441,89343963,89384237,89463377,89557735,89884241,89894715,89973010,90008318,90276941,90407441,90433517,90737176,91289537,91341137,91418477,91572941,91598657,91795096,91829741,92027486,92187917,92442797,92500612,93150944,93253037,93382387,93505732,93523083,93622210,93909208,94080017,94229441,94257326,94295565,94312300,94691938,94750157,94994625,95296450,95340941,95366846,95549043,95694498,95732237,95754582,95809646,95887696,95951441,95971335,96013492,96291137,96315341,96653357,96797741,96914126,96998148,97312203,97396241,97427608,97539137,97657997,97835215,98014516,98132922,98225741,98249297,98437457,98578241,98708949,98893118,99138497,99251418,99292424,99370577,99416897,99768926,99774235,99867740,...,14254886880679997268578285263810765511628394849903782065437476944911635153419367729469396291639856028906407882364855483252473837317997785385543856348468018633992008455488857618641043091858614042661921396640910996712728621396395551595081128327743695803965941554986542966538480731991175628170973249088590015952749505950249796695304477255532004518554944830224220856512551601395095227108321292410126076243714636671989029831927388541727442407842311444064256932089394129548062250678324782730561019560229379971778560065400702939473286166257284303006527197792701995803012191206490327141594493301124253261319010686947400669515862486857591970689135379543304282429967080312296522122682322919882972452068549860243478697654327381185745767051395348586247105032914785232242310814722526493899296324803321139511643911588025978258084269246414768089977919081750607113053060977423430578948559128864117986722609205170516948433506500901244113426914713211006079516966056630734911776322236145532620341619876614384352440470737687958386165261013674188718097937120624729788477849560326224466095170858655732440313624384580541009353042438704546739872889335689535043293853660926669542395047882872163689764386581995333456030419890686069763166444307631232176824177289668864596489832167229804062672975445240199473798941630430870416988724406134379692240820725450925021469318376751499423176399882875410940004961836184221767402856763920648100341593584872771808231513265331835298660727944729189686300263590522742029366574097995725545280448559508997445944970213929762448101690719243658279727492619463380841588165221528065686334289617850338404881311089992050090023047786247557203885902401170899435743948768364459481480169140421332614794288597747398975891033796696488091407252917014993913980360440139297267885799489254257481958761405943207841922002392830211626110781888090464512739561672094838308271282781228780989572701314771869669174692615590213397479317013856390705971722976925948993818170444183479261948666673691325282895093137053870127979142638866543523586202211192042953202493570199191907531077614986505810043825034068977173453769966349898890277485507340702845873892816869731944376694209547479710186867782862452713635718256746031608871350508021427076575567367695126255666097514698006389453642801464497771926929208125025671229974896414916368272461500035319517428311505530144528823142630394119546654740254163216227580252544711362060813803284907352692628583084345385734398460651467253973701078051263692089783174989667056485856594178967661410788580191731178207939236783074084089628726820747943250846194448381782797517310864531578424432370953520760144055520792429330323419396356446996533524196914589230082372528756330198309335673412696947328442587596852009793234297700969847960481381100322221127566387884686002895968290356022068157067004314528523467867330346346407285164784993646084274069430735933631834922872095005899665019529172112730583871106796941049312250962463770867191636019582898442499761101311670447415985386944333057757093726914897230258839866766766397964880705052115875293946531812282522987292757002357107340146480065667641935861381910574169815867336237827846464068396434737987962984827545251894625728251992798995431785439252222563234342990891548310376973701289687920792951287730079359685982978441839570025465301350986780184950486472764726337518865059446155551193347851681456307406601190074875158922106611548214393602037465899965682302520129557535126670014884638661699292435449006328187707714599429687209027501165838373642417408386836800858227647594775978693148398600730400146033789455466358341491703932853705399029561474848516658103950942429763611776092321381560875034111077053711370374241639129}
23059  25918416524248100354506779757118883667744309887082120592916336258012827250495: {23059,46114,184424,207477,1174989,1497665,1774157,1797198,2003349,2096549,2534510,2995070,3041412,3548006,3594084,3657477,3707669,4258145,4516036,4813061,4947365,4995557,5068580,5089409,5109774,5296670,5687669,5720277,5936838,6082296,6356004,6451480,6604157,6842583,7012865,7136510,7257915,7414694,7741776,7777677,7848797,8310581,8415438,8563812,8612846,8640375,8677409,8709498,9031288,9216400,9346526,9365477,9434510,9496109,9625286,10058429,10160199,10177934,10239429,10368450,10592420,11059680,11321412,11796992,12095475,12126797,12251428,12284949,12442140,12679061,12704069,12710904,12858677,12901840,13271616,13352180,13509669,13565870,13766558,14299767,14305949,14399375,14514570,14684846,14871566,14930568,15135974,15482208,15567604,15842177,16022616,16171109,16279044,16359789,16796889,17224196,17279250,17417484,17502040,17505509,17999294,18025443,18148670,18389109,18431200,19689795,19978756,20437070,20532749,20735100,21002448,21018557,21622820,21624789,21760838,21778404,21801377,21923608,22060865,22117440,22688846,22740077,23297252,23591936,23627754,23640069,23839396,24206357,24345638,24444669,24500728,24521198,24524484,24664059,24671489,24777077,24882120,25007870,25947384,26345176,26473038,26540928,26612276,26809838,27563319,27992385,28454709,28541080,28609406,28937774,28977557,29190807,29244629,29361975,29638323,29858544,30009444,30026510,30052677,30565157,30720677,30839309,30870965,30882509,31132504,31319440,31546145,31834229,32020637,32108715,32501729,32802278,32813475,33236548,33590862,34056280,34249296,34368614,34464461,34580510,35001040,35024067,35234370,35589665,36031812,36286334,36742814,36894638,37045158,37093732,37379608,37583328,37855374,38278145,38313315,38482157,38530458,38554877,39376170,39567909,40867536,40870580,41103195,41392949,41396510,41496612,41497412,41797635,41930438,42001248,42052059,42281244,42283949,42408158,42477077,42707598,42900389,43364798,43495869,43664510,43843408,44008419,44117870,44278869,44584144,44617109,44887709,45105389,45477470,45489496,45933774,45975978,47251404,47689997,47771486,48932375,48974465,49044696,49098020,49323834,49392915,49507157,49549838,49675812,49821149,50061975,50128229,50157162,51175683,51674277,51822977,51837620,51988838,52332494,52332677,52390975,52397412,52644557,52685776,52941444,53221269,53399440,53993469,54572964,54950645,54974510,55002926,55056664,55150149,55175283,55391224,55408094,55595715,56089229,57314726,57338177,57457677,58511607,58718850,58769358,58917624,58918565,59214869,59271498,59302096,59475928,60074370,60248318,60461357,60481541,60775589,61124966,61286270,61372004,61673246,61938747,62063155,62205144,62315127,62633440,62774008,62811669,62869170,63028574,63581357,63810734,64079328,64188965,64436270,64462238,64713549,64826909,65093277,65940774,65969412,66185375,66282327,66714858,66910419,67060448,67062389,67367109,67471265,67898237,67926209,68126645,68243224,68244980,68247557,68558189,68781665,69401176,69489749,69656675,69980787,70049606,70343297,70462620,70620759,70702278,70724510,70850069,70861349,71173070,71767652,72018077,72089244,72170835,72453281,73340995,73543524,74184675,74429054,74475786,74844250,74997158,75141124,75160128,75206510,75312065,75443004,75489278,75666014,75687269,76028957,76314615,76325606,76384677,76773627,76796357,76982224,77026758,77103038,77323524,77750261,77895077,77916989,78076323,78247677,78612101,79130320,79154420,79395029,79422450,79651169,79734189,79900094,80127470,80320709,80325374,80446456,80965518,81002798,81402256,81507076,81594734,81751974,81878180,81893976,81991169,82170557,82537998,82712597,83588010,83747765,83804277,83853572,83901734,84172989,84555144,84592670,84717280,84869412,85249157,85348577,85407684,85655777,86013309,86605002,86822270,86880871,87141461,87321380,87349515,88009194,88032206,88385092,88515544,88661650,89021610,89160544,89226446,89312277,89549789,89573246,89813100,89856557,90040820,90161237,90247812,90374478,90403467,90502263,90751349,90830510,91156817,91397175,91501869,91577538,92130723,92609870,93172816,93320589,93913624,94145429,94332004,94507061,94956384,94985304,95124537,95306940,95800640,96152964,96219309,96580677,96675629,96941829,97033838,97202189,97490320,97496510,97884965,97940270,98253816,98916917,99005606,99027915,99250661,99271070,99331934,99488129,99579987,99778695,99797198,...,19006515840906663024771047018414354015504526466538376087249969259882180204559156972625861722186474705208543843153140644336631783090663713847391808464624024845322677940651810158188057455811485390215895195521214662283638161861860735460108171103658261071954588739982057288717974309321567504227964332118120021270332674600333062260405969674042672691406593106965627808683402135193460302811095056546834768324952848895985373109236518055636589877123081925419009242785858839397416334237766376974081359413639173295704746753867603919297714888343045737342036263723602661070682921608653769522125991068165671015092014249263200892687816649143455960918847172724405709906622773749728696163576430559843963269424733146991304930205769841580994356068527131448329473377219713642989747752963368658532395099737761519348858548784034637677445692328553024119970558775667476150737414636564574105264745505152157315630145606894022597911342001201658817902552950948008106022621408840979882368429648194043493788826502152512469920627650250611181553681351565584957463916160832973051303799413768299288126894478207643253751499179440721345804056584939395653163852447586046724391804881235559389860063843829551586352515442660444608040559854248093017555259076841642902432236386225152795319776222973072083563967260320265965065255507241160555984965874845839589654427633934566695292424502335332564235199843833881253339949114912295689870475685227530800455458113163695744308684353775780398214303926305586248400351454030322705822098797327634060373931412678663261259960285239683264135587625658211039636656825951174455450886962037420915112386157133784539841748119989400120030730381663409605181203201561199247658598357819279308640225520561776819725718130329865301188045062261984121876337222686658551973813920185729690514399319005676642611681874590943789229336523773615501481042517453952683652748896126451077695043708305041319430268419695826225566256820786951196639089351808520941295630635901265325090893925577972349264888898255100377193457516071826837305523518488724698114936281589390604269991426932255876708103486648674413391766712091969564605026621799865187036647343120937127831857089159642592502258946063306280249157043816603618180957675661375478495134010695236102100756490260168340888130019597341852604857068619330362569238944166700894973299861886555157696615333380426023237748674040192705097523507192159395539653672217621636773670059615149414418404379876470256838110779127180979197947535289671964934770735018256119710899986222741981142125571956881881051440255641570943918982377432112119504969094330591001128259264509043730023081152708771232576494604694346858740694389905773764559195141929328711365595886118973443163371675106931079114231216929263104590116795802679724312396934626463947308508133762961503421850512914670527957720474696090876089339086038031290489773795128543046886379991528112365425907647911509113230496126674532886692705562816974111828142395921399083001283285027822922181359443864589999681468415560596554647182592444077009458302553196307011786489022355197286507606736154500391928709083043363983057009336476143120195306754223522581148509214098893087823114983770461952091195246317317283979770060335859500971002657065327242380585669630084312457321188731080502631601719583894390601716973439146247977304589119426700620401801315706913267315297019635116691820079261540734924463802241941743208801586766500211896142148730952524802716621199954243070026839410046835560019846184882265723247265341770916943619465906249612036668221117831523223211182449067810970196793034638257531198134307200194711719273955144455322271910471607198706081966464688877471934589906351482368123095175414500045481436071615160498988852172}
23060  26011378057305728313875018426994371418271614113556019868962185951451055554234: {69171,161371,230530,276636,437779,713899,783394,875482,989731,1335682,1427674,1540531,1566652,1703554,1887394,2163034,2227411,2396264,2671132,2695797,3186019,3801765,4055216,4454434,4492605,4549339,4562118,4792112,4876636,5322009,5391126,5645045,6280354,6310891,6335725,6445891,6774054,6813032,6917914,7190914,7602870,7627036,7664661,7902377,7915784,7945005,8064350,8109728,8281474,8474672,8905257,9007234,9097882,9123444,9264259,9531019,9534006,9677220,9930619,10322368,10370236,10704765,10993051,10997794,11122041,11220584,11289110,11418416,11449114,11520500,11612664,12350554,12623157,12800674,12845718,12919269,12972691,13064247,13240525,13546932,13628971,13652572,13760011,13824600,13890979,13969114,14019789,14151765,14417794,14437929,14746240,15045274,15095216,15266901,15313954,15314285,15456979,15552675,15850882,15888630,16127300,16297882,16379932,16589520,16655194,16690225,16883371,16947872,16982118,17141779,17190682,17528851,17636482,17695488,18012892,18377142,18663210,18971482,19060354,19066356,19183157,19352760,19459505,19859482,19907424,20028270,20092771,20348805,20642944,20649837,20729251,21363488,21363931,21438137,21530245,21705392,21771855,21813052,21877550,21984154,21996811,22027269,22160794,22249459,22307349,22395852,22501819,22703961,22753891,22954882,23039000,23052029,23223312,23351406,23382811,23508379,24033924,24418566,24510331,24518812,24627034,24635251,24973445,25066114,25836294,25918875,25943074,26126226,26252659,26253060,26998941,27028525,27223005,27240941,27404510,27646800,27692194,28003264,28349371,28717219,28833052,29037872,29121565,29489920,29608834,29799245,29968134,30303739,30303874,30625910,30648937,30655605,30911194,31102650,31274011,31503672,31515859,31520092,31690882,31757419,31998691,32434230,32592892,32641257,32667606,32699312,32707157,32885412,32931470,32960899,33176160,33200731,33265345,33505114,33679531,33918499,34033269,34596512,34871491,34945878,35054554,35297384,35387904,35441631,35583211,35676350,35701579,35759094,36084634,36518457,36751092,36781797,36786726,36855682,37116379,37233811,37323180,37511805,37819891,37936891,37939612,38362982,38915630,38921076,39011126,39149300,39331354,39517764,39567331,39683251,39709557,39803309,39811392,39918414,40012592,40070236,40214757,40351834,41115682,41545685,41878234,41986531,42100939,42570350,42671899,42723994,42811620,42914109,43406661,43736794,43751300,44261011,44599699,44787816,44915482,44999554,45014166,45039765,45162739,45419674,45665728,45947971,46100054,46367165,46677634,46698756,46724510,46841059,46979160,47354197,47507851,47950939,48042416,48174581,48182434,48467321,48503179,49203417,49393544,49515682,49854822,50111104,50386293,50473832,50577137,50802931,51084420,51088225,51373944,51552921,51870765,51871765,51889334,51921754,52041437,52102819,52318459,52501560,52757212,52851555,53160994,53499331,53985154,54047718,54429501,54459019,54490048,54804260,54889882,54927257,55095571,55114221,55201411,55307179,55328816,55341957,55567737,55640598,55730180,56001664,56069412,56202394,56374992,56570779,56611714,56783061,56857114,56861870,56943464,57347482,57429154,57795687,57994492,58239451,58677892,58757131,59038492,59064255,59375971,59684419,59712821,60726029,60809851,61006882,61013539,61245032,61301304,61305870,61318531,61372525,62094765,62244918,62246118,62537189,62542234,62895657,63001872,63025882,63034579,63421866,63508954,63612237,63834931,63911074,64061397,64232482,64531459,64633882,64797025,65047197,65224459,65323171,65392928,65496765,65765112,65857220,65913931,66127841,66176805,66208339,66234416,66404251,66749300,66876216,67033882,67352794,67359446,67512154,67767571,67864411,68216205,68234244,68732731,68820830,68899036,68900661,68924899,68963967,69239030,69404059,69595219,69786091,69863216,70262011,70390649,70546699,70588592,70641451,70736131,70877106,70922914,70961692,71208451,71226974,71317594,71657229,71991292,72054091,72763952,73079731,73533532,73543051,73567044,73647030,73912411,73985751,74004571,74127620,74225794,74324757,74344910,74372491,74513718,75013579,75235743,76100482,76610236,76715005,76956634,77005459,77451101,77733274,77756430,77983257,78015476,78291800,78353434,78359144,78467510,78498741,78556832,78596118,79028664,79127194,79226659,79281754,79412166,79590682,79976482,80099160,80276851,80438914,81526214,81859446,82174421,82359514,82431451,82461765,82504389,82584996,82940192,83086836,83112141,83618371,83748892,83786779,83825560,84117634,84193882,84457531,84957571,85206619,85259674,85304030,85306225,85439104,85592078,85715482,85785211,85972089,86284732,86751470,86791036,87094459,87921032,87959216,87985882,88064299,88078275,88154037,88376436,88438234,88465339,88907247,88953144,89115682,89213892,89416354,89420491,89443757,89709565,89822812,90111555,90286939,90316834,90372477,90443539,90990682,91376681,91608859,91687449,91929405,92058006,92426054,92509869,92605699,92834011,92985859,93126782,93288691,93307716,93390521,93673114,93926405,93950160,94161012,94269704,94303755,94340482,94414051,94542861,94711411,94841369,95006554,95716101,95816251,95818882,95892634,96118992,96227780,96326299,96623189,96654405,96693357,96832819,96923482,96996994,97335811,97364314,97407379,98058032,98260579,98317474,98341061,98472259,98753491,98911161,98912900,98943025,98954118,98963659,99301048,99451531,99778594,...,28509773761359994537156570527621531023256789699807564130874953889823270306838735458938792583279712057812815764729710966504947674635995570771087712696936037267984016910977715237282086183717228085323842793281821993425457242792791103190162256655487391607931883109973085933076961463982351256341946498177180031905499011900499593390608954511064009037109889660448441713025103202790190454216642584820252152487429273343978059663854777083454884815684622888128513864178788259096124501356649565461122039120458759943557120130801405878946572332514568606013054395585403991606024382412980654283188986602248506522638021373894801339031724973715183941378270759086608564859934160624593044245364645839765944904137099720486957395308654762371491534102790697172494210065829570464484621629445052987798592649606642279023287823176051956516168538492829536179955838163501214226106121954846861157897118257728235973445218410341033896867013001802488226853829426422012159033932113261469823552644472291065240683239753228768704880941475375916772330522027348377436195874241249459576955699120652448932190341717311464880627248769161082018706084877409093479745778671379070086587707321853339084790095765744327379528773163990666912060839781372139526332888615262464353648354579337729192979664334459608125345950890480398947597883260861740833977448812268759384481641450901850042938636753502998846352799765750821880009923672368443534805713527841296200683187169745543616463026530663670597321455889458379372600527181045484058733148195991451090560897119017994891889940427859524896203381438487316559454985238926761683176330443056131372668579235700676809762622179984100180046095572495114407771804802341798871487897536728918962960338280842665229588577195494797951782067593392976182814505834029987827960720880278594535771598978508514963917522811886415683844004785660423252221563776180929025479123344189676616542565562457561979145402629543739338349385231180426794958634027712781411943445953851897987636340888366958523897333347382650565790186274107740255958285277733087047172404422384085906404987140398383815062155229973011620087650068137954346907539932699797780554971014681405691747785633739463888753388419094959420373735565724905427271436513492063217742701016042854153151134735390252511332195029396012778907285602928995543853858416250051342459949792829832736544923000070639034856623011060289057646285260788239093309480508326432455160505089422724121627606569814705385257166168690771468796921302934507947402156102527384179566349979334112971713188357935322821577160383462356415878473566148168179257453641495886501692388896763565595034621729063156848864741907041520288111041584858660646838792712893993067048393829178460164745057512660396618671346825393894656885175193704019586468595401939695920962762200644442255132775769372005791936580712044136314134008629057046935734660692692814570329569987292168548138861471867263669845744190011799330039058344225461167742213593882098624501924927541734383272039165796884999522202623340894831970773888666115514187453829794460517679733533532795929761410104231750587893063624565045974585514004714214680292960131335283871722763821148339631734672475655692928136792869475975925969655090503789251456503985597990863570878504445126468685981783096620753947402579375841585902575460158719371965956883679140050930602701973560369900972945529452675037730118892311102386695703362912614813202380149750317844213223096428787204074931799931364605040259115070253340029769277323398584870898012656375415429198859374418055002331676747284834816773673601716455295189551957386296797201460800292067578910932716682983407865707410798059122949697033316207901884859527223552184642763121750068222154107422740748483278258}
23061  26104670820283361729892803035084366094110969871380115780329957683078710195886: {46118,92228,345795,368848,414954,1175091,1313223,1958315,2003523,2096731,2141511,2349978,2555331,2787719,2831091,2995330,3244551,3338915,3548314,3594396,4006698,4193098,5069020,5688163,5825831,5961403,5990140,6082824,6095795,6654803,6681651,6843177,6926311,7096012,7188168,7314954,7343699,7415338,8086689,8516290,9001211,9032072,9275851,9420531,9533795,9626122,9818011,9894730,9991114,10137160,10161081,10178818,10219548,10376871,10593340,10786371,11068291,11375338,11404305,11440554,11873676,11892551,12096525,12164592,12422211,12712008,12902960,12962795,13208314,13510851,13553479,13646823,13685166,14025730,14273020,14301009,14400625,14515830,14829388,15483552,15555354,15697594,16033091,16496691,16621162,16830876,16933665,17065715,17127624,17173671,17225692,17280750,17354818,17418996,18062576,18432800,18525831,18693052,18730954,18869020,18992218,19201011,19250572,19268577,19345523,20116858,20159125,20320398,20355868,20474915,20478858,20736900,20953671,21184840,21626691,22119360,22478819,22516115,22567911,22642824,22970931,23593984,23776323,23832945,24190950,24253594,24446823,24502856,24569898,24884280,24982791,25358122,25408138,25421808,25473177,25717354,25786023,25803680,26372971,26454723,26543232,26704360,27003911,27019338,27131740,27266315,27533116,27565713,27728411,27994815,28457223,28510691,28590531,28599534,28611898,28798750,29029140,29369692,29743132,29789223,29861136,30042405,30271948,30648515,30885211,30964416,31135208,31684354,32045232,32342218,32397971,32558088,32719578,32816325,32976231,33241191,33593778,34432323,34448392,34467463,34558500,34834968,35004080,35011018,35027109,35998588,36041315,36050886,36297340,36627849,36778218,36862400,36940551,37534739,37599171,37842571,38754441,38914611,39189339,39306803,39379590,39393131,39400115,39957512,40741115,40874140,41065498,41106765,41470200,41538291,41722403,42004896,42037114,43219351,43245640,43249578,43521676,43534931,43556808,43602754,43847216,44121730,44164603,44234880,44268971,44413251,44952201,45032999,45377692,45455811,45480154,45938865,46366791,46594504,46653975,47183872,47255508,47276699,47280138,47424515,47536323,47678792,47694151,48026759,48412714,48651345,48691276,48889338,48936625,49001409,49001456,49042396,49048968,49328118,49342978,49397205,49522451,49554154,49764240,49825531,50015740,50087795,50257671,51827491,51894768,52418817,52581831,52690352,52946076,53081856,53224552,53282651,53350403,53514525,53589403,53619676,53638641,54126951,54689125,55126638,55180089,55283523,55542659,55984770,56909418,57082160,57195851,57218812,57544473,57875548,57955114,58373445,58381614,58479971,58489258,58516689,58723950,58997031,59215883,59276646,59717088,59877621,59970119,60018888,60053020,60105354,60527751,61130314,61441354,61673523,61678618,61741930,61765018,62265008,62638880,62817351,63092290,63668458,63855525,64041274,64085991,64217430,64947803,65003458,65604556,65605191,65626950,65922791,65946515,66473096,67181724,67263611,67373223,67499331,67521249,68112560,68129511,68498592,68505325,68564251,68737228,68928922,69018791,69150081,69161020,69662725,70002080,70016451,70048134,70086765,70378979,70468740,71179330,71454331,72063624,72161051,72273651,72493115,72572668,73347365,73485628,73789276,73798115,74090316,74187464,74203691,74273523,74759216,74782233,75166656,75710748,76556290,76560791,76626630,76930903,76964314,77060916,77109754,77450059,77790119,77834001,77882631,78054611,78618979,78752340,79135818,79741491,79864583,80243371,80977731,81071577,81735072,81741160,82206390,82321525,82334823,82485991,82785898,82793020,82993224,82994824,83436625,83460897,83595270,83860876,84002496,84104118,84303591,84562488,84567898,84816316,84917571,84954154,85285671,85292805,85415196,85800778,86021223,86123795,86143731,86311931,86729596,86888417,86991738,87000899,87329020,87351931,87686816,87847511,88016838,88050803,88132451,88235740,88557738,88702115,89168288,89234218,89606759,89775418,89864551,89989115,90210778,90354371,90759331,90954940,90978992,91510323,91867548,91916915,91951956,91958805,92659525,93367377,93369177,93813351,94110503,94459771,94502808,94538823,95132799,95263431,95377303,95379994,95542972,95603491,95762795,95866611,96294331,96348723,96950823,97519345,97751251,97864750,97948930,98089392,98196040,98647668,98785830,99014314,99099676,99351624,99556403,99642298,...,42764660642039991805734855791432296534885184549711346196312430834734905460258103188408188874919568086719223647094566449757421511953993356156631569045404055901976025366466572855923129275575842127985764189922732990138185864189186654785243384983231087411897824664959628899615442195973526884512919747265770047858248517850749390085913431766596013555664834490672662569537654804185285681324963877230378228731143910015967089495782165625182327223526934332192770796268182388644186752034974348191683058680688139915335680196202108818419858498771852909019581593378105987409036573619470981424783479903372759783957032060842202008547587460572775912067406138629912847289901240936889566368046968759648917356205649580730436092962982143557237301154186045758741315098744355696726932444167579481697888974409963418534931734764077934774252807739244304269933757245251821339159182932270291736845677386592353960167827615511550845300519502703732340280744139633018238550898169892204735328966708436597861024859629843153057321412213063875158495783041022566154293811361874189365433548680978673398285512575967197320940873153741623028059127316113640219618668007068605129881560982780008627185143648616491069293159745986000368091259672058209289499332922893696530472531869006593789469496501689412188018926335720598421396824891292611250966173218403139076722462176352775064407955130254498269529199648626232820014885508552665302208570291761944301024780754618315424694539795995505895982183834187569058900790771568226088099722293987176635841345678526992337834910641789287344305072157730974839182477858390142524764495664584197059002868853551015214643933269976150270069143358742671611657707203512698307231846305093378444440507421263997844382865793242196927673101390089464274221758751044981741941081320417891803657398467762772445876284217829623525766007178490634878332345664271393538218685016284514924813848343686342968718103944315609007524077846770640192437951041569172117915168930777846981454511332550437785846000021073975848685279411161610383937427916599630570758606633576128859607480710597575722593232844959517430131475102206931520361309899049696670832456522022108537621678450609195833130082628642439130560603348587358140907154770238094826614051524064281229726702103085378766998292544094019168360928404393493315780787624375077013689924689244749104817384500105958552284934516590433586469427891182358639964220762489648682740757634134086182441409854722058077885749253036157203195381954401761921103234153791076269349524969001169457569782536902984232365740575193534623817710349222252268886180462243829752538583345145348392551932593594735273297112860562280432166562377287990970258189069340989600572590743767690247117586268990594928007020238090841985327762790556029379702893102909543881444143300966663382699163654058008687904871068066204471201012943585570403601991039039221855494354980938252822208292207800895504768616285017698995058587516338191751613320390823147936752887391312601574908058748695327499283303935011342247956160832999173271281180744691690776519600300299193894642115156347625881839595436847568961878271007071322020439440197002925807584145731722509447602008713483539392205189304213963888954482635755683877184755978396986295356317756667689703028972674644931130921103869063762378853863190238079057948935325518710076395904052960340554851459418294179012556595178338466653580043555044368922219803570224625476766319834644643180806112397699897046907560388672605380010044653915985097877306347018984563123143798289061627082503497515120927252225160510402574682942784327936079445195802191200438101368366399075024475111798561116197088684424545549974311852827289290835328276964144682625102333231161134111122724917387}
23062  26198295985604978748985830769567710093538659166188909653884393467521365494166: {69177,115285,138342,322742,461060,529897,553272,622431,875558,943861,1357177,1427798,1566788,1750964,1979462,2044597,2319061,2671364,2855348,3081062,3133304,3407108,3524967,3774788,4326068,4368361,4454822,4492995,4792528,5322471,5342264,5391594,5725561,6010047,6289647,6336275,6372038,6671317,7075561,7487675,7603530,7903063,8016277,8110432,8686057,8870015,8908868,8985210,9098678,9124236,9487417,9584224,9753272,10020217,10153237,10644018,10782252,10972431,11082361,11123007,11290090,11743861,12560708,12621782,12671450,12774435,12891782,13241675,13324117,13548108,13626064,13835828,14381828,14439183,14633077,14842095,14986671,15205740,15254072,15268227,15329322,15804754,15831568,15890010,16064617,16128700,16219456,16562948,16949344,17063007,17160831,17810514,17841275,18014468,18195764,18246888,18528518,18536735,19062038,19068012,19354440,19812471,19861238,20527749,20561557,20644736,20740472,21038595,21069877,21409530,21439999,21450361,21532115,21703657,21773745,21986102,21995588,22244082,22441168,22578220,22713961,22836832,22898228,23041000,23091637,23225328,23333031,23366315,23546391,23586275,24063215,24701108,24931743,25219561,25246314,25444835,25601348,25691436,25838538,25841461,25921125,25945382,26032227,26128494,26481050,26709097,27093864,27243307,27257942,27305144,27449977,27520022,27649200,27781958,27938228,28039578,28065397,28096431,28303530,28488327,28835588,28875858,29492480,29535061,30090548,30142343,30175287,30190432,30480597,30533802,30627908,30628570,30651599,30718287,30913958,31105350,31357561,31701764,31777260,32202517,32254600,32322937,32595764,32759864,33179040,33310388,33380450,33523177,33762361,33766742,33895744,33914675,33964236,34283558,34381364,34416395,34962823,35057702,35272964,35390976,36025784,36221471,36286425,36380391,36712115,36727861,36754284,36854847,37178915,37326420,37839935,37942964,38037183,38112207,38120708,38132712,38366314,38576031,38705520,38919010,39648361,39718964,39814848,40056540,40185542,40458037,40529007,40697610,40770191,41285888,41299674,41458502,41608597,41718943,42181177,42726976,42727862,42865897,42876274,42899301,42917847,43060490,43198125,43410784,43543710,43626104,43661461,43755100,43968308,43993622,44001337,44054538,44321588,44498918,44614698,44791704,44791861,44998235,45003638,45371675,45407922,45507782,45909764,46078000,46104058,46138837,46446624,46571483,46702812,46765622,47016758,47253397,47526531,47918677,48067848,48513327,48837132,49020662,49037624,49079367,49241461,49254068,49270502,49570537,49946890,50008297,50132228,50390667,51092675,51672588,51837750,51886148,52252452,52505318,52506120,52516527,52825657,52925279,53575861,53997882,54057050,54076329,54322537,54402095,54446010,54481882,54809020,54853717,55167327,55293600,55384388,55488757,55964051,56006528,56698742,56722115,56751061,57434438,57482617,57666104,57795061,58075744,58106857,58163959,58243130,58979840,59069385,59141497,59217668,59598490,59936268,60168937,60373561,60607478,60607748,60864095,60883861,61251820,61297874,61302995,61311210,61595257,61598247,61696597,61822388,62205300,62519675,62548022,63007344,63031718,63040184,63055671,63381764,63514838,63708277,63907861,63997382,64056311,64868460,64874367,64914031,65185784,65198137,65282514,65335212,65398624,65404131,65414314,65592697,65770824,65862940,65921798,66182595,66352320,66401462,66530690,67010228,67024595,67359062,67836998,68066538,68220231,68322361,69193024,69742982,69891756,69952117,70109108,70594768,70775808,70883262,70920207,70995577,71166422,71184361,71352700,71403158,71518188,71523515,72169268,72344435,72591061,72619071,72620471,73036914,73171043,73241977,73334007,73502184,73563594,73573452,73711364,73907587,73981561,73992177,74014467,74232758,74331231,74441461,74467622,74646360,75023610,75066275,75082297,75639782,75873782,75879224,76082197,76725964,76983637,77831260,77842152,78022252,78298600,78662708,79035528,79134662,79366502,79419114,79606618,79622784,79836828,80025184,80081977,80140472,80429514,80517397,80703668,80745599,81382837,81984361,82005695,82231364,82689957,83091370,83756468,83851897,83973062,83977155,84201878,85140700,85343798,85364127,85447988,85602037,85623240,85828218,85921535,86178361,86451275,86587861,86751157,86813322,86932671,86995561,87473588,87502600,87563317,87572421,87733887,88085925,88522022,88608361,88914969,89199398,89245417,89403961,89562217,89575632,89830964,89956597,89999108,90028332,90079530,90158031,90325478,90349177,90583861,90715835,90839348,91331456,91361461,91695471,91857035,91895942,92162031,92200108,92236595,92285077,92514361,92517927,92612895,92647527,92734330,93355268,93397512,93449020,93682118,93801397,93876457,93958320,94548757,94638435,94708394,95015702,95141461,95288917,95502687,95901878,96061911,96084832,96326145,96349162,96364868,96385657,96934642,97006358,97466197,97505187,97680361,98406834,98440425,98600917,98787088,98970311,99031364,99091561,99439861,99709644,...,57019547522719989074313141055243062046513579399615128261749907779646540613677470917877585166559424115625631529459421933009895349271991141542175425393872074535968033821955430474564172367434456170647685586563643986850914485585582206380324513310974783215863766219946171866153922927964702512683892996354360063810998023800999186781217909022128018074219779320896883426050206405580380908433285169640504304974858546687956119327709554166909769631369245776257027728357576518192249002713299130922244078240917519887114240261602811757893144665029137212026108791170807983212048764825961308566377973204497013045276042747789602678063449947430367882756541518173217129719868321249186088490729291679531889808274199440973914790617309524742983068205581394344988420131659140928969243258890105975597185299213284558046575646352103913032337076985659072359911676327002428452212243909693722315794236515456471946890436820682067793734026003604976453707658852844024318067864226522939647105288944582130481366479506457537409761882950751833544661044054696754872391748482498919153911398241304897864380683434622929761254497538322164037412169754818186959491557342758140173175414643706678169580191531488654759057546327981333824121679562744279052665777230524928707296709158675458385959328668919216250691901780960797895195766521723481667954897624537518768963282901803700085877273507005997692705599531501643760019847344736887069611427055682592401366374339491087232926053061327341194642911778916758745201054362090968117466296391982902181121794238035989783779880855719049792406762876974633118909970477853523366352660886112262745337158471401353619525244359968200360092191144990228815543609604683597742975795073457837925920676561685330459177154390989595903564135186785952365629011668059975655921441760557189071543197957017029927835045623772831367688009571320846504443127552361858050958246688379353233085131124915123958290805259087478676698770462360853589917268055425562823886891907703795975272681776733917047794666694765301131580372548215480511916570555466174094344808844768171812809974280796767630124310459946023240175300136275908693815079865399595561109942029362811383495571267478927777506776838189918840747471131449810854542873026984126435485402032085708306302269470780505022664390058792025557814571205857991087707716832500102684919899585659665473089846000141278069713246022120578115292570521576478186618961016652864910321010178845448243255213139629410770514332337381542937593842605869015894804312205054768359132699958668225943426376715870645643154320766924712831756947132296336358514907282991773003384777793527131190069243458126313697729483814083040576222083169717321293677585425787986134096787658356920329490115025320793237342693650787789313770350387408039172937190803879391841925524401288884510265551538744011583873161424088272628268017258114093871469321385385629140659139974584337096277722943734527339691488380023598660078116688450922335484427187764197249003849855083468766544078331593769999044405246681789663941547777332231028374907659588921035359467067065591859522820208463501175786127249130091949171028009428429360585920262670567743445527642296679263469344951311385856273585738951951851939310181007578502913007971195981727141757008890252937371963566193241507894805158751683171805150920317438743931913767358280101861205403947120739801945891058905350075460237784622204773391406725825229626404760299500635688426446192857574408149863599862729210080518230140506680059538554646797169741796025312750830858397718748836110004663353494569669633547347203432910590379103914772593594402921600584135157821865433365966815731414821596118245899394066632415803769719054447104369285526243500136444308214845481496966556516}
23063  26292254729817109652774032872278606616045147726785927481999695649161254037592: {23063,92236,184456,207513,484113,576325,691590,737696,829908,1313337,1958485,2141697,2188705,2350182,2626446,2741641,2787961,2969193,3294577,3339205,3569185,3916630,4007046,4193462,4258885,4283022,4621593,4674481,4699956,4718485,5110662,5407585,5575438,5662182,5826337,5990660,6489102,6655381,6677830,6682233,6885073,7096628,7188792,7437721,7850161,8013396,8087391,8386196,8534113,8678917,9558057,10060177,10138040,10377961,11136085,11347381,11376326,11405295,11651662,11922806,11980280,12165648,12175993,12191590,13309606,13347313,13363302,13477815,13648017,13686354,13852622,14054833,14192024,14376336,14629908,14687398,14830676,14922457,15348337,15700885,15966027,16173378,16815193,16935135,17032580,17294785,17919337,17977285,18002422,18064144,18147913,18551702,18841062,18932673,19007175,19067590,19252244,19337673,19575553,19636022,19789460,19963537,19982228,20160875,20274320,20322162,20357636,20439096,20679697,20703685,20716693,20753742,21186680,21572742,22136582,22480777,22518085,22744705,22750676,22808610,22881108,22993983,23707131,23747352,23785102,23835015,23892001,24193050,24329184,24844422,24855433,25424016,25805920,25925590,26416628,26565877,26715771,27021702,27106958,27293646,27338677,27370332,27494485,27508657,27792777,28051460,28222775,28509493,28546040,28593057,28602018,28622785,28664881,28801250,29031660,29658776,29791857,30876385,30967104,30990577,31110708,31395188,31522561,31913713,32001685,32066182,32114295,32400793,32979153,32993382,33029161,33242324,33366123,33661752,33694453,33867330,34131430,34255248,34347342,34451384,34561500,34709636,34837992,34922785,35401393,36044485,36125152,36209497,36865600,37051662,37386104,37461908,37613185,37738040,37869471,37984436,38038561,38172841,38284885,38402022,38501144,38537154,38691046,38757807,38918073,39192741,39627205,39721575,40173193,40233716,40318250,40639237,40640796,40711736,40744705,40886913,40949830,40957716,41280033,41473800,41637985,41672937,41720137,41907342,42017617,42059367,42369680,42455295,42502261,42907921,42976705,43253382,43313787,44027617,44091205,44238720,44359237,44957638,45032230,45050053,45135822,45285648,45536161,45800703,45941862,45942855,46370937,46428433,46630921,46658025,47187968,47280817,47428705,47552646,47650885,47665890,48030961,48381900,48507188,48529657,48608437,48893646,49005712,49139796,49648705,49768560,49965582,50025217,50070675,50457841,50537161,50650113,50716244,50816276,50843616,50946354,51185833,51425337,51434708,51450373,51572046,51607360,52586553,52745942,52909446,53086464,53220817,53408720,54007822,54038676,54129241,54263480,54337753,54532630,54693875,54960385,55066232,55131426,55160161,55401985,55456822,55547497,55989630,56758897,56914446,57021382,57037561,57181062,57199068,57200833,57223796,57387205,57425461,57549471,57597500,58058280,58252057,58378515,58526533,58739384,59486264,59578446,59626921,59722272,60084810,60278313,60471961,60543896,61046415,61297030,61567585,61770422,61928832,61949511,62187753,62270416,62665285,63299737,63368708,64090464,64091793,64314411,64521781,64590735,64684436,64795942,64857685,65116176,65315565,65439156,65632650,65952462,65990433,66081807,66394321,66482382,66748377,66922047,67187556,67414897,67505457,68111883,68261673,68511275,68864646,68896784,68934926,69112693,69117000,69156087,69230485,69669936,70008160,70022036,70054218,70122913,70148433,70457953,70525137,70873777,70879897,71997176,72082630,72101772,72588721,72594680,73214497,73255698,73530993,73556436,73724800,73881102,73905753,74022085,74312377,74920335,74980693,75069478,75112117,75176977,75198342,75531541,75685142,75759685,76564775,77277985,77508882,77756625,77796961,77829222,77908753,78290377,78378678,78613606,78717433,78757977,78759180,78786262,78800230,79227205,79915024,80996823,81085575,81470593,81482230,81669015,81722823,81748280,81862153,82130996,82213530,82328675,82571857,82727161,82933537,82940400,83076582,83175157,83444806,83762785,84009792,84074228,84366481,85048113,85165081,85765873,86151657,86438702,86491280,86499156,87043352,87069862,87113616,87205508,87364695,87636385,87694432,88140217,88243460,88329206,88469760,88537942,88743253,88826502,88826581,89190875,89397735,89904402,90065998,90211585,90669961,90755384,90911217,90911622,90960308,91877730,91933777,91946811,91966815,92139205,92325121,92664841,92733582,93000961,93051937,93189008,93307950,93822033,94118737,94367744,94511016,94547577,94553398,94560276,94849030,94915861,95072646,95162017,95272257,95357584,95388302,95504497,95907455,95996073,96053518,96825428,97289075,97302690,97382552,97527815,97778676,97873250,97923771,98002818,98002912,98084792,98097936,98121471,98328385,98409721,98656236,98685956,98794410,98882697,99044902,99108308,99528480,99602193,99651062,99796035,99913561,...,85529321284079983611469711582864593069770369099422692392624861669469810920516206376816377749839136173438447294189132899514843023907986712313263138090808111803952050732933145711846258551151684255971528379845465980276371728378373309570486769966462174823795649329919257799230884391947053769025839494531540095716497035701498780171826863533192027111329668981345325139075309608370571362649927754460756457462287820031934178991564331250364654447053868664385541592536364777288373504069948696383366117361376279830671360392404217636839716997543705818039163186756211974818073147238941962849566959806745519567914064121684404017095174921145551824134812277259825694579802481873779132736093937519297834712411299161460872185925964287114474602308372091517482630197488711393453864888335158963395777948819926837069863469528155869548505615478488608539867514490503642678318365864540583473691354773184707920335655231023101690601039005407464680561488279266036477101796339784409470657933416873195722049719259686306114642824426127750316991566082045132308587622723748378730867097361957346796571025151934394641881746307483246056118254632227280439237336014137210259763121965560017254370287297232982138586319491972000736182519344116418578998665845787393060945063738013187578938993003378824376037852671441196842793649782585222501932346436806278153444924352705550128815910260508996539058399297252465640029771017105330604417140583523888602049561509236630849389079591991011791964367668375138117801581543136452176199444587974353271682691357053984675669821283578574688610144315461949678364955716780285049528991329168394118005737707102030429287866539952300540138286717485343223315414407025396614463692610186756888881014842527995688765731586484393855346202780178928548443517502089963483882162640835783607314796935525544891752568435659247051532014356981269756664691328542787076437370032569029849627696687372685937436207888631218015048155693541280384875902083138344235830337861555693962909022665100875571692000042147951697370558822323220767874855833199261141517213267152257719214961421195151445186465689919034860262950204413863040722619798099393341664913044044217075243356901218391666260165257284878261121206697174716281814309540476189653228103048128562459453404206170757533996585088188038336721856808786986631561575248750154027379849378489498209634769000211917104569869033180867172938855782364717279928441524979297365481515268268172364882819709444116155771498506072314406390763908803523842206468307582152538699049938002338915139565073805968464731481150387069247635420698444504537772360924487659505077166690290696785103865187189470546594225721124560864333124754575981940516378138681979201145181487535380494235172537981189856014040476181683970655525581112058759405786205819087762888286601933326765398327308116017375809742136132408942402025887171140807203982078078443710988709961876505644416584415601791009537232570035397990117175032676383503226640781646295873505774782625203149816117497390654998566607870022684495912321665998346542562361489383381553039200600598387789284230312695251763679190873695137923756542014142644040878880394005851615168291463445018895204017426967078784410378608427927777908965271511367754369511956793972590712635513335379406057945349289862261842207738127524757707726380476158115897870651037420152791808105920681109702918836588358025113190356676933307160087110088737844439607140449250953532639669289286361612224795399794093815120777345210760020089307831970195754612694037969126246287596578123254165006995030241854504450321020805149365885568655872158890391604382400876202736732798150048950223597122232394177368849091099948623705654578581670656553928289365250204666462322268222245449834774}
23064  26386548233603237158090135285675925940095425767937982939927802758820264926854: {115295,138354,161399,230570,253583,276684,529943,645484,851999,922120,989903,1037385,1059794,1081799,1106544,1219583,1244862,1403183,1632503,1751116,1887722,2319263,2364983,2714354,2855596,2912999,3133576,3501928,3525273,3596399,3732863,3939669,3958924,4089194,4414103,4638122,4821983,5342728,5710696,5861399,5874945,6010569,6162124,6266608,6290193,6311999,6402023,6424533,6814216,7049934,7121063,7488325,7549576,7658999,7665993,7882799,8329799,8363157,8463743,8493273,8652136,8736722,8870785,8909644,8985990,9532703,9585056,9733653,10016745,10021103,10482745,10644942,10684528,10783188,11083343,11451122,11744903,11788943,12020094,12418021,12579294,12668063,12672550,12744076,13342634,13849799,14151122,14155223,14975350,15069143,15207060,15286223,15806126,16032554,16220864,16886399,16972583,17064489,17230943,17372114,17477493,17531999,17740030,17817736,17884209,17970420,18197356,18248472,18287385,18538345,18974834,19168448,19506544,19964409,20040434,20044953,20096399,20181383,20306474,20529531,20778933,20817743,21071783,21288036,21290725,21452303,21564504,21874343,21944862,22000799,22031097,22164722,22246014,22337663,22580180,22758023,23135663,23345183,23487722,23888999,24065305,24222983,24260067,24736825,24977785,25121416,25243564,25263383,25342900,25447045,25548870,25636703,25783564,25951429,26092103,26257463,26483350,26505263,26648234,26711543,27003633,27096216,27252128,27671656,27821999,27827553,28108943,28231799,28261593,28436399,28438345,28601385,28763656,28844999,28878366,29266154,29454033,29684190,29944223,29973342,30144961,30411480,30483243,30508144,30536454,30658644,31130613,31279799,31360463,31400783,31609508,31663136,31780020,32084999,32129234,32257400,32359113,32438912,32712841,33020785,33125896,33204873,33206903,33688501,33765503,33898688,34004423,34126014,34212915,34282799,34321662,35064325,35471399,35589863,35621028,35622769,35668799,35677653,35682550,36028936,36224617,36289575,36391528,36493776,36770543,37057036,37073470,37123343,37240799,37266633,38021999,38124076,38136024,38708880,38888385,39243985,39624942,39652103,39690743,39722476,39767999,40230863,40346399,40532553,40660437,40940469,41055498,41123114,41289472,41480944,41552905,42070799,42077190,42139754,42185183,42807193,42819060,42879998,42900722,42903027,43064230,43135583,43201875,43325063,43387045,43407314,43547490,43665623,43703423,43972204,43991176,44488164,44833703,44882336,45156440,45171383,45427922,45673664,45796456,46031399,46082000,46183274,46450656,46666062,46732630,46827385,47092782,47172550,47480545,47627903,47960183,48099273,48126430,48182953,48365423,48622799,48806399,49063103,49282823,49402216,49490073,49863486,50013143,50267999,50292145,50439122,50492628,50800995,50889670,51197145,51202696,51382872,51396961,51521013,51677076,51682922,51788903,51842250,51890764,51969023,52050481,52064454,52184903,52256988,52436399,52962100,52975909,53418194,53581103,53794823,54187728,54221399,54469703,54486614,54515884,54610288,54899954,55040044,55106399,55176983,55298400,55529423,55563916,55577493,55705343,55876456,56079156,56130794,56161799,56192862,56336999,56607060,56791583,56976654,57314423,57603033,57671176,57751716,57805731,58036569,58250999,58527383,58768799,58984960,59070122,59456399,59559263,60181096,60209063,60284686,60350574,60380864,60477375,60633985,60889943,60961194,61067604,61255816,61257140,61303198,61330799,61424745,61436574,61827916,62210700,62510999,62548057,62715122,62861013,62997529,63395305,63403528,63520345,63554520,63614783,63914303,64293385,64405034,64412063,64509200,64645874,64742903,64880073,65191528,65237663,65435063,65519728,65992799,66139333,66358080,66620776,66760900,67046354,67436457,67524722,67533484,67548345,67703733,67791488,67829350,67845983,67928472,67942799,68567116,68650583,68762728,68832790,68912793,69003023,69386399,69768623,69925646,69959303,70115404,70181399,70339799,70434743,70545928,70561223,70655999,70750703,70781952,71223143,71285999,71328969,71498835,71505743,71529745,71996875,72051568,72442942,72572850,72760782,73156799,73340469,73424230,73455722,73508568,73709694,73712423,73989263,74019983,74357830,74449223,74652840,74846399,74948373,75090143,75394103,75679870,75702913,75885928,76074366,76162933,76224414,76241416,76265424,76419531,76451663,76661999,76732628,77021663,77152062,77358069,77411040,77618543,77838020,78537383,79118913,79210885,79296722,79364169,79410961,79437928,79629696,80113080,80119583,80264903,80371084,80855545,80916074,81011733,81058014,81395220,81540382,81592463,81735743,81779401,81798945,82571776,82599348,82697139,82789799,82917004,83185233,83217194,83270423,83437886,83860943,83984445,84196799,84362354,84392183,84698423,84975983,85209733,85225103,85371669,85445999,85453952,85455724,85532073,85638863,85731794,85752548,85771593,85798602,85803863,85824193,85835694,86120980,86314261,86396250,86474869,86624543,86821568,87005063,87087420,87252208,87322922,87510200,87527545,87842063,87936616,87987244,88002674,88083623,88109076,88643176,88997836,89229396,89367669,89413823,89440223,89492999,89572103,89583408,89583722,89887799,89996470,90007276,90127215,90149999,90359183,90593903,90619943,90743350,90815844,90983663,91015564,91319999,91448999,91706399,91819528,91945545,92156000,92208116,92277674,92295383,92655633,92893248,93142966,93233999,93359999,93405624,93531244,93811943,93834433,93912023,94033516,94186583,94506794,94782263,95053062,95152223,95426617,95471399,95837354,95837999,95886743,96135696,96396623,97026654,97193913,97477343,97572623,97674264,98041324,98075248,98158734,98353799,98448975,98482922,98508136,98541004,98928693,99141074,99404999,99474503,99723573,99893780,...,128293981926119975417204567374296889604655553649134038588937292504204716380774309565224566624758704260157670941283699349272264535861980068469894707136212167705928076099399718567769387826727526383957292569768198970414557592567559964355730154949693262235693473994878886698846326587920580653538759241797310143574745553552248170257740295299788040666994503472017987708612964412555857043974891631691134686193431730047901268487346496875546981670580802996578312388804547165932560256104923044575049176042064419746007040588606326455259575496315558727058744780134317962227109720858412944274350439710118279351871096182526606025642762381718327736202218415889738541869703722810668699104140906278946752068616948742191308278888946430671711903462558137276223945296233067090180797332502738445093666923229890255604795204292233804322758423217732912809801271735755464017477548796810875210537032159777061880503482846534652535901558508111197020842232418899054715652694509676614205986900125309793583074578889529459171964236639191625475487349123067698462881434085622568096300646042936020194856537727901591962822619461224869084177381948340920658856004021205815389644682948340025881555430945849473207879479237958001104273779016174627868497998768681089591417595607019781368408489505068236564056779007161795264190474673877833752898519655209417230167386529058325193223865390763494808587598945878698460044656525657995906625710875285832903074342263854946274083619387986517687946551502562707176702372314704678264299166881961529907524037035580977013504731925367862032915216473192924517547433575170427574293486993752591177008606560653045643931799809928450810207430076228014834973121610538094921695538915280135333321522263791993533148597379726590783019304170268392822665276253134945225823243961253675410972195403288317337628852653488870577298021535471904634997036992814180614656055048853544774441545031059028906154311832946827022572233540311920577313853124707516353745506792333540944363533997651313357538000063221927546055838233484831151812283749798891712275819900728386578822442131792727167779698534878552290394425306620794561083929697149090012497369566066325612865035351827587499390247885927317391681810045762074422721464310714284479842154572192843689180106309256136300994877632282057505082785213180479947342362873125231041069774067734247314452153500317875656854803549771300759408283673547075919892662287468946048222272902402258547324229564166174233657247759108471609586145863205285763309702461373228808048574907003508372709347610708952697097221725580603871453131047666756806658541386731489257615750035436045177655797780784205819891338581686841296499687131863972910774567208022968801717772231303070741352758806971784784021060714272525955983288371668088139108679308728631644332429902899990148097490962174026063714613204198613413603038830756711210805973117117665566483064942814758466624876623402686514305848855053096985175762549014575254839961172469443810258662173937804724724176246085982497849911805034026743868482498997519813843542234075072329558800900897581683926345469042877645518786310542706885634813021213966061318320591008777422752437195167528342806026140450618176615567912641891666863447907267051631554267935190958886068953270003069109086918023934793392763311607191287136561589570714237173846805976556130229187712158881021664554378254882537037669785535015399960740130665133106766659410710673876430298959503933929542418337193099691140722681166017816140030133961747955293631919041056953689369431394867184881247510492545362781756675481531207724048828352983808238335587406573601314304105099197225073425335395683348591266053273636649922935558481867872505984830892434047875306999693483402333368174752161}
23065  26481177681798246685753898811187259096968998064035608395061938321216197418659: {46126,184472,207531,345855,368912,415026,806855,968226,1152650,1383180,1475392,1589691,1659816,1867293,2188895,2626674,2741879,2831583,3064187,3294863,3569495,3893591,3916970,4071531,4283394,4377410,4674887,4700364,4948655,4996859,5252892,5483282,5575922,5938386,5962439,6133791,6589154,6605879,6678410,6885671,6957183,7138370,7438367,7570619,7702655,7833260,8014092,8312747,8386924,8517770,8566044,9243186,9277463,9348962,9367919,9399912,9436970,10221324,10574901,10815170,10884203,11137055,11150876,11324364,11652674,11981320,12129959,12264863,12682367,12978204,13105083,13310762,13355660,13364466,13478985,13770146,14193256,14377584,14473919,14875442,15428303,15590519,15700322,15930095,15967413,16026792,16174782,16406843,16772392,17068226,17176683,17357834,17635631,18030141,18793451,18868941,19008825,19116114,20013951,20120354,20276080,20755922,21226683,21981239,22105883,22272170,22463025,22694762,22746695,22752652,22810590,23153951,23303324,23593271,23709189,23845612,23960560,24048831,24212699,24331296,24351986,24383180,25168199,26058171,26568191,26610045,26619212,26694626,26726604,26955630,27296034,27372708,27705244,28109666,28225225,28384048,28462251,28672271,28752672,28985159,29224103,29259816,29374796,29661352,29844914,30060651,30459711,30696674,31401770,31525319,31554455,31678625,31842587,31863551,31932054,32229455,32346756,32510231,32917293,33247083,33369021,33630386,33870270,34065160,34589570,35231583,35838674,35954570,36004844,36128288,36212651,36295826,37103404,37682124,37865346,38014350,38135180,38323305,38492279,38504488,38675346,39034463,39151106,39272044,39511885,39578920,39725025,39927074,39964456,39972351,40071899,40321750,40548640,40644324,40715272,40878192,41359394,41407370,41433386,41507484,41723771,42373360,43145484,43226939,43317549,43441943,43899231,44273164,44526285,44802359,44899451,44954663,44960013,44961554,45036170,45489410,45501352,45617220,45762216,45804681,45987966,46321295,47414262,47494704,47502527,47570204,47655095,47670030,47784002,48193851,48386100,48533903,48612671,48658368,48891899,49486439,49653095,49688844,49710866,50462279,50541563,50848032,51189021,51482493,51611840,51851180,51960743,52658459,52833256,53131754,53431542,53523825,53598839,53815463,54043404,54213916,54587292,54677354,54740664,54965255,54988970,55017314,55478087,55585554,55610205,56102920,56445550,56763863,56920319,57018986,57042587,57092080,57186114,57204036,57245570,57329762,57353231,57430463,57602500,58063320,58257131,58293179,59120711,59317552,59437413,59583714,60167387,60226703,60497387,61583247,61684671,61727687,61752770,61934208,61981154,62221416,62790376,63045122,63115785,63209631,63827426,64003370,64132364,64228590,64319997,64351083,64596345,64801586,64863455,65110971,65321235,65958306,65986764,66058322,66202625,66400187,66484648,66711239,66732246,67323504,67388906,67734660,67916123,68141883,68144855,68262860,68510496,68694684,68800055,68902768,68971559,69123000,69274911,69401519,69419272,69454895,69508187,69675984,69845570,69999093,70098945,70639173,70758825,70802786,71466863,72088970,72189645,72250304,72418994,73731200,74103324,74772208,74795229,74923816,75226370,75476080,75658683,75738942,75968872,76077122,76334505,76345682,76569770,76571425,76804044,76944539,77002288,77074308,77284895,77382092,77515614,77524383,77562779,77763375,77836146,77937371,78096681,78297263,78385482,79254410,79443150,79672151,80127291,80292263,80342087,80346386,80467432,80636500,81278474,81281592,81423472,81489410,81729921,81773826,81899660,81915432,82349931,82560066,82947600,83275970,83345874,83440274,83451125,83767151,83801951,83814684,84035234,84118734,84196191,84211919,84289293,84416855,84739360,84910590,85004522,85370903,85464981,85708895,85815842,85953410,86194619,86506764,86627574,87644255,87731399,88055234,88182410,88477440,88605183,88718474,89915276,90064460,90100106,90184859,90271644,90427029,90525861,90571296,90744239,90800759,91072322,91441791,91601406,91883724,91885710,91941863,91954797,92154861,92524991,92741874,92856866,93261842,93316050,93440279,93743519,94072683,94375936,94561634,94857410,95105292,95170343,95301770,95331780,95915785,96061922,96607551,96763800,96795383,96922679,96968811,97014376,97059314,97216874,97297525,97768463,97787292,98011424,98279592,99276767,99297410,99537120,99545903,99931164,...,171058642568159967222939423165729186139540738198845384785249723338939621841032412753632755499678272346876894588378265799029686047815973424626526276181616223607904101465866291423692517102303368511943056759690931960552743456756746619140973539932924349647591298659838515598461768783894107538051678989063080191432994071402997560343653727066384054222659337962690650278150619216741142725299855508921512914924575640063868357983128662500729308894107737328771083185072729554576747008139897392766732234722752559661342720784808435273679433995087411636078326373512423949636146294477883925699133919613491039135828128243368808034190349842291103648269624554519651389159604963747558265472187875038595669424822598322921744371851928574228949204616744183034965260394977422786907729776670317926791555897639853674139726939056311739097011230956977217079735028981007285356636731729081166947382709546369415840671310462046203381202078010814929361122976558532072954203592679568818941315866833746391444099438519372612229285648852255500633983132164090264617175245447496757461734194723914693593142050303868789283763492614966492112236509264454560878474672028274420519526243931120034508740574594465964277172638983944001472365038688232837157997331691574786121890127476026375157877986006757648752075705342882393685587299565170445003864692873612556306889848705411100257631820521017993078116798594504931280059542034210661208834281167047777204099123018473261698778159183982023583928735336750276235603163086272904352398889175948706543365382714107969351339642567157149377220288630923899356729911433560570099057982658336788236011475414204060858575733079904601080276573434970686446630828814050793228927385220373513777762029685055991377531463172968787710692405560357857096887035004179926967764325281671567214629593871051089783505136871318494103064028713962539513329382657085574152874740065138059699255393374745371874872415777262436030096311387082560769751804166276688471660675723111387925818045330201751143384000084295903394741117644646441535749711666398522283034426534304515438429922842390302890372931379838069720525900408827726081445239596198786683329826088088434150486713802436783332520330514569756522242413394349432563628619080952379306456206096257124918906808412341515067993170176376076673443713617573973263123150497500308054759698756978996419269538000423834209139738066361734345877711564729434559856883049958594730963030536536344729765639418888232311542997012144628812781527817607047684412936615164305077398099876004677830279130147611936929462962300774138495270841396889009075544721848975319010154333380581393570207730374378941093188451442249121728666249509151963881032756277363958402290362975070760988470345075962379712028080952363367941311051162224117518811572411638175525776573203866653530796654616232034751619484272264817884804051774342281614407964156156887421977419923753011288833168831203582019074465140070795980234350065352767006453281563292591747011549565250406299632234994781309997133215740045368991824643331996693085124722978766763106078401201196775578568460625390503527358381747390275847513084028285288081757760788011703230336582926890037790408034853934157568820757216855855555817930543022735508739023913587945181425271026670758812115890698579724523684415476255049515415452760952316231795741302074840305583616211841362219405837673176716050226380713353866614320174220177475688879214280898501907065279338578572723224449590799588187630241554690421520040178615663940391509225388075938252492575193156246508330013990060483709008900642041610298731771137311744317780783208764801752405473465596300097900447194244464788354737698182199897247411309157163341313107856578730500409332924644536444490899669548}
23066  26576144263402926770346369695743071855386408648261242041435878666769261630919: {69189,161413,230590,276708,299689,322798,461140,507166,553368,622539,852073,1059886,1290968,1452339,1678489,1703998,1728975,1844240,1979806,2074770,2119588,2163598,2213088,2365189,2439166,2489724,2806366,3265006,3502232,3775444,3940011,4638526,4729966,5428708,5711192,5825998,5875455,6267152,6425091,6447589,6566115,7003856,7050546,7192798,7465726,7879338,7917848,7928233,8178388,8224923,8330533,8363883,8828206,8907579,8999593,9276244,9643966,9791575,9883731,10017615,10483655,10685456,10707555,11260933,11421392,11722798,11749890,11789989,12021138,12324248,12419099,12533216,12580386,12623998,12776655,12804046,12849066,13628432,13763689,13864779,13894693,13938595,14023443,14099868,14155455,14242126,14675843,14976650,15099152,15317998,15331986,15765598,16222755,16659598,16694575,16726314,16927486,16986546,17304272,17473444,17479011,17533573,17741570,17819288,17971980,19065406,19170112,19459753,19467306,19966143,20033490,20042206,20046699,20098213,20353093,20655219,20734873,20965490,21289884,21369056,21566376,22166686,22313163,22886053,22902244,23389189,23489806,23514793,23550483,23577886,24040188,24262173,24641989,24766873,24836042,25158588,25336126,25345100,25488152,25602339,25953683,26036751,26685268,27249433,27699598,27865573,28302244,28310446,28440815,28674171,28847653,29129155,29807015,29950700,30138286,30180531,30414120,30478975,30572446,31133883,31403689,31612252,32065108,32128153,32441728,33209989,33274015,33329833,33408255,33688933,33691427,33772798,33927973,33945166,34042143,34128978,34215885,34461886,34631555,34744228,34954986,34968899,35063998,35480060,35625863,35635472,35711593,35768418,35940840,36394712,36496944,36527979,36574770,36718495,37076690,37244293,37361689,37947589,37949668,38064553,38336896,39013088,39694489,39810373,39813683,39928818,40041939,40080868,40089906,40192798,40362766,40433445,40612948,40944051,41059062,41557866,41635486,42112933,42143566,42164499,42576072,42581450,42810911,42904606,43129008,43139689,43707589,43748686,43889724,44001598,44062194,44329444,44492028,44675326,44725273,44767371,45006055,45160360,45512773,45516046,46045011,46229099,46271326,46379255,46690366,46975444,47102655,47366539,47632489,47668975,47777998,47898081,48130610,48445966,48520134,48627493,49090055,49473650,49955570,50242832,50445579,50487128,50526766,50590319,50685800,50805405,50817733,50894090,50926489,51097740,51273406,51469189,51567128,51884355,51902858,52184206,52441513,52514926,52966700,53010526,53296468,53423086,53758011,53931855,54007266,54192432,54262213,54443739,54504256,54581353,54941579,55111813,55217689,55323493,55341455,55343312,55643998,55655106,56217886,56463598,56523186,56692393,56798019,56872798,56876690,57021525,57202770,57320089,57527312,57689998,57756732,58013019,58174067,58532308,58726659,58774633,58908066,59368380,59393689,59462755,59888446,59890611,59946684,60289922,60482625,60521893,60741863,60822960,60828073,60966486,61016288,61072908,61317288,62039091,62111055,62150079,62261226,62559598,62720926,62801566,63219016,63326272,63560040,64067443,64169998,64258468,64451689,64514800,64718226,64813975,64877824,65343013,65425682,65441689,65558339,66041570,66251792,66409746,66413806,66472763,67377002,67442331,67531006,67554255,67767395,67788313,67797376,67885189,67981993,68008846,68234115,68252028,68425830,68565598,68643324,68981949,69425413,69807589,70128650,70409003,70663273,70757989,70942798,71121393,71179726,71242056,71245538,71337598,71355306,71365100,71505045,71676003,72003125,72057872,72170089,72449234,72579150,72783056,72987552,73102489,73183759,73541086,73920431,73935493,74027689,74114072,74146940,74246686,74481598,74533266,74566299,76043998,76248152,76272048,77119513,77417760,77656489,77776770,78487970,78545689,79249884,79304206,79381486,79444952,79535998,79697631,80147313,80165455,80302489,80461726,80692798,81065106,81320874,81880938,82016031,82110996,82246228,82483455,82525971,82578944,82961888,83105810,83307589,83378331,83729689,84141598,84154380,84233833,84279508,84370366,84668325,84887579,85328575,85482853,85528479,85614386,85638120,85759996,85779171,85801444,85806054,85868355,85994643,86128460,86271166,86403750,86650126,86774090,86814628,87094980,87123013,87331246,87406846,87851689,87944408,87982352,88753427,88928483,88976328,89375571,89450089,89467079,89667406,89764672,89923993,90010739,90312880,90342766,90629989,90855844,91330153,91347328,91400507,91592912,91716613,92062798,92164000,92366548,92629155,92901312,92971731,93244453,93332124,93465260,93654770,94185564,94345100,94567683,94961090,95255806,95482213,95741139,95920366,95921989,96005055,96198546,96252860,96342885,96365906,96648383,96727615,96730846,96938053,97202379,97245598,97297513,97440793,97612798,98081989,98126206,98365093,98565646,98787589,98804432,98857753,98937459,98980146,99087483,99555433,99726972,...,256587963852239950834409134748593779209311107298268077177874585008409432761548619130449133249517408520315341882567398698544529071723960136939789414272424335411856152198799437135538775653455052767914585139536397940829115185135119928711460309899386524471386947989757773397692653175841161307077518483594620287149491107104496340515480590599576081333989006944035975417225928825111714087949783263382269372386863460095802536974692993751093963341161605993156624777609094331865120512209846089150098352084128839492014081177212652910519150992631117454117489560268635924454219441716825888548700879420236558703742192365053212051285524763436655472404436831779477083739407445621337398208281812557893504137233897484382616557777892861343423806925116274552447890592466134180361594665005476890187333846459780511209590408584467608645516846435465825619602543471510928034955097593621750421074064319554123761006965693069305071803117016222394041684464837798109431305389019353228411973800250619587166149157779058918343928473278383250950974698246135396925762868171245136192601292085872040389713075455803183925645238922449738168354763896681841317712008042411630779289365896680051763110861891698946415758958475916002208547558032349255736995997537362179182835191214039562736816979010136473128113558014323590528380949347755667505797039310418834460334773058116650386447730781526989617175197891757396920089313051315991813251421750571665806148684527709892548167238775973035375893103005125414353404744629409356528598333763923059815048074071161954027009463850735724065830432946385849035094867150340855148586973987505182354017213121306091287863599619856901620414860152456029669946243221076189843391077830560270666643044527583987066297194759453181566038608340536785645330552506269890451646487922507350821944390806576634675257705306977741154596043070943809269994073985628361229312110097707089548883090062118057812308623665893654045144467080623841154627706249415032707491013584667081888727067995302626715076000126443855092111676466969662303624567499597783424551639801456773157644884263585454335559397069757104580788850613241589122167859394298180024994739132132651225730070703655174998780495771854634783363620091524148845442928621428568959684309144385687378360212618512272601989755264564115010165570426360959894684725746250462082139548135468494628904307000635751313709607099542601518816567347094151839785324574937892096444545804804517094648459128332348467314495518216943219172291726410571526619404922746457616097149814007016745418695221417905394194443451161207742906262095333513613317082773462978515231500070872090355311595561568411639782677163373682592999374263727945821549134416045937603435544462606141482705517613943569568042121428545051911966576743336176278217358617457263288664859805799980296194981924348052127429226408397226827206077661513422421611946234235331132966129885629516933249753246805373028611697710106193970351525098029150509679922344938887620517324347875609449448352492171964995699823610068053487736964997995039627687084468150144659117601801795163367852690938085755291037572621085413771269626042427932122636641182017554845504874390335056685612052280901236353231135825283783333726895814534103263108535870381917772137906540006138218173836047869586785526623214382574273123179141428474347693611953112260458375424317762043329108756509765074075339571070030799921480261330266213533318821421347752860597919007867859084836674386199382281445362332035632280060267923495910587263838082113907378738862789734369762495020985090725563513350963062415448097656705967616476671174813147202628608210198394450146850670791366697182532106547273299845871116963735745011969661784868095750613999386966804666736349504322}
23067  26671449171598519783818276834726786626974267647537367744086540813790534330706: {92252,345885,368944,415062,484197,576425,691710,737824,760749,830052,1129597,1589829,1613710,1936452,2305300,2555997,2649485,2766360,2950784,2969709,3064453,3112155,3179382,3245397,3319632,3658749,3734586,3893929,4209549,4308293,4377790,4719305,4897509,4997293,5253348,5483758,5663166,6128374,6589726,6785885,6928117,6957789,7094949,7138990,7345613,7787182,7833940,8143062,8313469,8566788,8738997,8754820,9003557,9349774,9400728,9897310,9993718,10222985,10505784,10575819,10783717,10789197,10966564,11071177,11151844,11198589,11349353,11595305,11819007,11876772,11924878,12178109,12267582,12863149,13178308,13211758,13242309,13356820,13410749,13557013,13771342,13914366,14276740,14465949,14876734,15141238,15405310,15591877,15666520,16028184,16176733,16625494,16773848,17035540,17132088,17584197,17624835,18031707,18233449,18379397,18486372,18554926,18697924,18735838,18799824,18870579,18873940,18935997,19206069,19273599,20442648,20974349,21149802,21363189,21630340,21691829,21768406,21841805,22274110,22301752,22302133,22464975,22648728,22976997,22997979,23305348,23648397,23962640,24259918,24529726,24989397,25089471,25364734,25391229,25479819,25956408,26210166,26612355,26621524,26711320,26728932,26957970,27540292,28386512,28518149,28598109,28627805,28755168,28947838,29200959,29750884,30050235,30063309,30649669,30856606,31181038,31400644,31448235,31477417,31681375,31845373,31860190,31934826,32053584,32349564,32813686,33250029,33356585,33544784,34136452,34353366,34715668,34739993,35234709,35271262,35366829,35377805,36060282,37254063,37438375,37514909,37544573,37586902,37737882,38004189,38017650,38232228,39515315,40027902,40081385,40240708,40552160,41511844,41549397,41733317,42453366,42465669,43430285,43832549,43962478,44061977,44176237,44211766,44350075,44544340,44926050,45044813,45121237,45207429,45389524,45493390,45505304,45621180,45858669,46307902,46606648,47186542,47418378,47437085,47691224,47921120,48097662,48425398,48662592,48703972,48766360,49535453,49920329,50101085,50336398,50659197,50747357,50766185,50917749,51193467,51692829,51965269,52116342,52432479,52595997,53136382,53220090,53238424,53296589,53389252,53453208,53652627,53911260,54592068,54745416,54862155,55308373,55316639,55410488,55411805,55615035,56219332,56447957,56450450,56768096,56924502,56925277,57344542,57358249,57505344,57970318,58008233,58448206,58519632,58719305,58749592,59322704,59689828,59893227,59985893,60121302,60134859,60231949,60289197,60544149,60919422,61393348,61588593,62336799,62453229,62803540,63050638,63108910,63215349,63357250,63670853,63685174,63727102,63864108,63872175,64356909,64458910,64497449,64693512,64849813,65020462,65623029,65834586,66002397,66093291,66208375,66494166,66620585,66717133,66738042,67012989,67182473,67260772,67281257,67426733,67740540,68130320,68274069,69179140,69406989,69514333,69596453,70035549,70463166,71666997,71677348,71909140,72009688,72179957,72195915,72256576,72425302,72591652,72668949,72780201,73165385,74206808,74210475,74223173,74933355,75364248,75730692,75790149,76028700,76270360,76341135,76534697,76646610,76910109,76951357,76984558,77008976,77350692,77854287,78068926,78075029,78276309,78302212,78544088,78772389,79023770,79157840,79290893,79450050,79515789,79854148,79928912,79944702,80134629,80143798,80264509,80323085,80643500,81010899,81097280,81288648,81430544,81756384,82019977,82718788,82814740,82866772,83014968,83447542,83465997,83482659,83697113,84326829,84695397,84746720,84784779,85309197,85315035,85804155,86290968,86334509,86453878,86534997,86635098,86680253,86883886,87023693,87798462,87870557,88362099,88546328,89052570,89206375,89477237,89604718,89630453,89798902,89832669,89909326,89920026,89923108,90072340,90378137,90434883,90808837,90978820,90985673,91002704,91003709,91234440,91449729,91524432,91609362,91975932,92440393,92533129,92642590,92681093,92683675,93391839,93839397,94081389,94202349,94828524,94989408,95005054,95140408,95310190,95340060,95402797,95568004,96083093,96254997,96320077,96387702,96772200,97067806,97077339,97225342,97236853,97316736,97783798,98138523,98972878,99062355,99306190,99377688,99421732,99523177,99614619,99620709,...,384881945778359926251613702122890668813966660947402115766811877512614149142322928695673699874276112780473012823851098047816793607585940205409684121408636503117784228298199155703308163480182579151871877709304596911243672777702679893067190464849079786707080421984636660096538979763761741960616277725391930430724236660656744510773220885899364122000983510416053963125838893237667571131924674895073404058580295190143703805462039490626640945011742408989734937166413641497797680768314769133725147528126193259238021121765818979365778726488946676181176234340402953886681329162575238832823051319130354838055613288547579818076928287145154983208606655247669215625609111168432006097312422718836840256205850846226573924836666839292015135710387674411828671835888699201270542391997508215335281000769689670766814385612876701412968275269653198738429403815207266392052432646390432625631611096479331185641510448539603957607704675524333591062526697256697164146958083529029842617960700375929380749223736668588377515892709917574876426462047369203095388644302256867704288901938128808060584569613183704775888467858383674607252532145845022761976568012063617446168934048845020077644666292837548419623638437713874003312821337048523883605493996306043268774252786821059344105225468515204709692170337021485385792571424021633501258695558965628251690502159587174975579671596172290484425762796837636095380133969576973987719877132625857498709223026791564838822250858163959553063839654507688121530107116944114034792897500645884589722572111106742931040514195776103586098745649419578773552642300725511282722880460981257773531025819681959136931795399429785352430622290228684044504919364831614284765086616745840405999964566791375980599445792139179772349057912510805178467995828759404835677469731883761026232916586209864952012886557960466611731894064606415713904991110978442541843968165146560634323324635093177086718462935498840481067716700620935761731941559374122549061236520377000622833090601992953940072614000189665782638167514700454493455436851249396675136827459702185159736467326395378181503339095604635656871183275919862383683251789091447270037492108698198976838595106055482762498170743657781952175045430137286223268164392932142853439526463716578531067540318927768408902984632896846172515248355639541439842027088619375693123209322203202741943356460500953626970564410649313902278224851020641227759677986862406838144666818707206775641972688692498522700971743277325414828758437589615857289929107384119686424145724721010525118128042832126858091291665176741811614359393143000270419975624160194467772847250106308135532967393342352617459674015745060523889499061395591918732323701624068906405153316693909212224058276420915354352063182142817577867949865115004264417326037926185894932997289708699970444292472886522078191143839612595840240809116492270133632417919351352996699449194828444275399874629870208059542917546565159290955527287647043725764519883517408331430775986521813414174172528738257947493549735415102080231605447496992559441530626702225216988676402702692745051779036407128632936556358931628120656904439063641898183954961773026332268257311585502585028418078421351854529846703737925675000590343721801154894662803805572876658206859810009207327260754071804380178289934821573861409684768712142711521540417929668390687563136476643064993663134764647611113009356605046199882220391995399320299978232132021629290896878511801788627255011579299073422168043498053448420090401885243865880895757123170861068108294184601554643742531477636088345270026444593623172146485058951424715006762219720803942912315297591675220276006187050045773798159820909949768806675445603617517954492677302143625920999080450207000104524256483}
23068  26767093603761323146358523313143589177548294418966259735846845512774997525267: {115315,138378,253627,322826,461180,553416,599378,622593,645596,668131,922280,944107,1014332,1037565,1081987,1106736,1245078,1704146,2119772,2420565,2456827,2581936,2881625,2904678,3004747,3356978,3407996,3457950,3688480,3824467,3959612,4149540,4239176,4327196,4369507,4426176,4505587,4730378,4769073,4878332,4979448,5601879,5612732,5727067,5862427,6403147,6530012,6566685,7004464,7212067,7550888,7880022,7884187,8152531,8225637,8494749,8822131,9192561,9277052,9459932,9756547,9792425,9884589,10155931,10708485,10857416,10943525,11422384,11651996,11680773,11750910,12214593,12534304,12538627,12850182,12895178,13132230,13196347,13458931,13708205,13939805,14007712,14024661,14101092,14385596,14677117,14767531,14845965,14931452,14990577,15158707,15679267,15758676,15835696,15856466,16068931,16356776,16449846,16472885,16661066,16696025,16727766,16975627,17656412,17749987,17815158,17845925,17887317,17999186,18007531,18264787,18401373,18552488,18650131,19287932,19514033,19583150,19767462,19817637,20035230,20185027,20657013,20871549,20967310,21294425,21370912,21415110,21582907,22315101,22521866,22711857,22720147,22842784,23107965,23372405,23445596,23499780,23579978,23592425,23976907,24042276,24648496,24838198,24938241,25066432,25160772,25247996,25553310,25608092,25698132,25972747,26592667,26840131,27037925,27256864,27527378,27729558,27789386,27832389,27877190,28046886,28103757,28199736,28310910,28318867,28484252,29131685,29351686,29665267,29953300,30198304,30635996,30663972,31366267,31531196,31724703,31970347,32331931,32445510,32572627,32652609,33276905,33319196,33389150,33411165,33452628,33854972,33973092,34368667,34425365,34608544,34946888,34958022,35067146,35483140,35638576,35675467,35943960,36389877,36738187,36794589,37188605,38047101,38130812,38340224,38919506,38934612,39195187,39250805,39315249,39775507,39817141,39932286,40007131,40066980,40084412,40093398,40196426,40436955,40706186,40780817,41310438,41469746,41729821,41735131,41930980,42579768,42670565,42738112,43132752,43394585,43421757,43787347,44333372,44579131,44626326,45772106,45804488,46284909,46583621,46771557,46778378,46979612,47029586,47100966,47155772,47370653,47710987,47790285,47902239,47932531,48080376,48484177,48524346,48705667,49220529,49283978,49533746,49672084,50300885,50317176,50350507,50594713,50672252,50690200,50976304,51204678,51405893,51530049,51889805,51907366,52073502,52906893,52939073,53055907,53370536,54090423,54232027,54498866,54975931,55187827,55399196,55680425,55716307,55731146,55978637,56380353,56604488,56606823,56620892,56736905,56881630,57026475,57081931,57348342,57395347,57695306,58258310,59159131,59614030,59901400,60041853,60276572,60361062,60828240,60879965,60957950,61144892,61715131,62220931,62267766,62807378,63008477,63224504,63680049,64130216,64256306,64883456,64930957,65711131,65943717,66202531,66317649,66398587,66419978,66548030,66659666,66736565,66816510,66985027,67377866,67382854,67389075,67545596,67855946,67890332,68084286,68240085,68257956,68343307,68431770,68726077,68921107,68923772,69263110,69461853,69488456,69909972,69937798,70127996,70274165,70779813,70960120,71127567,71251726,71270944,71300707,71423186,71536836,71881680,72146493,72638097,72706867,72789424,72893131,72993888,73055958,73149540,73436990,74153380,74488586,74612285,74723378,74923027,75197131,75470587,75504597,75716069,75895178,75899336,76106131,76129106,76673792,76741685,77478037,78026176,78174513,78504425,78613027,79388978,79620746,79627366,79670131,79704573,79830135,79857636,80083878,80161736,80179812,80281987,80385596,80725532,80766653,80866890,81225896,81236347,81408931,81793613,81888102,82096387,82118124,82864267,83115732,83247857,83270972,83288347,84075965,84214987,84225866,84287132,84328998,84675675,85152144,85162900,85386753,85621822,85809212,86016813,86258016,86279378,86473925,86489897,86955477,87415178,87497372,87672309,87672931,87779448,87915067,88003196,88124388,88658888,88717507,88984056,89274931,89350652,89450546,89512747,89534742,89596685,89886425,90012110,90181953,90320720,90457531,90613987,90739565,91025546,91032092,91379133,91391947,91469347,92090022,92239387,92458198,92542652,92758510,93305347,93380732,93682627,93908131,93950888,94205310,94575957,94663365,94733078,94874353,95035875,95247547,95264978,95337950,95394931,95527761,95555996,95590653,95796162,95908507,96261220,96273187,96688365,96891932,97040268,97254986,97530693,97713907,97877765,98180110,98423467,98751879,98947300,98996117,99195667,99474307,99741249,99817685,99911140,...,513175927704479901668818269497187558418622214596536154355749170016818865523097238260898266499034817040630683765134797397089058143447920273879578828544848670823712304397598874271077551306910105535829170279072795881658230370270239857422920619798773048942773895979515546795385306351682322614155036967189240574298982214208992681030961181199152162667978013888071950834451857650223428175899566526764538744773726920191605073949385987502187926682323211986313249555218188663730241024419692178300196704168257678984028162354425305821038301985262234908234979120537271848908438883433651777097401758840473117407484384730106424102571049526873310944808873663558954167478814891242674796416563625115787008274467794968765233115555785722686847613850232549104895781184932268360723189330010953780374667692919561022419180817168935217291033692870931651239205086943021856069910195187243500842148128639108247522013931386138610143606234032444788083368929675596218862610778038706456823947600501239174332298315558117836687856946556766501901949396492270793851525736342490272385202584171744080779426150911606367851290477844899476336709527793363682635424016084823261558578731793360103526221723783397892831517916951832004417095116064698511473991995074724358365670382428079125473633958020272946256227116028647181056761898695511335011594078620837668920669546116233300772895461563053979234350395783514793840178626102631983626502843501143331612297369055419785096334477551946070751786206010250828706809489258818713057196667527846119630096148142323908054018927701471448131660865892771698070189734300681710297173947975010364708034426242612182575727199239713803240829720304912059339892486442152379686782155661120541333286089055167974132594389518906363132077216681073571290661105012539780903292975845014701643888781613153269350515410613955482309192086141887618539988147971256722458624220195414179097766180124236115624617247331787308090288934161247682309255412498830065414982027169334163777454135990605253430152000252887710184223352933939324607249134999195566849103279602913546315289768527170908671118794139514209161577701226483178244335718788596360049989478264265302451460141407310349997560991543709269566727240183048297690885857242857137919368618288771374756720425237024545203979510529128230020331140852721919789369451492500924164279096270936989257808614001271502627419214199085203037633134694188303679570649149875784192889091609609034189296918256664696934628991036433886438344583452821143053238809845492915232194299628014033490837390442835810788388886902322415485812524190667027226634165546925957030463000141744180710623191123136823279565354326747365185998748527455891643098268832091875206871088925212282965411035227887139136084242857090103823933153486672352556434717234914526577329719611599960592389963848696104254858452816794453654412155323026844843223892468470662265932259771259033866499506493610746057223395420212387940703050196058301019359844689877775241034648695751218898896704984343929991399647220136106975473929995990079255374168936300289318235203603590326735705381876171510582075145242170827542539252084855864245273282364035109691009748780670113371224104561802472706462271650567566667453791629068206526217071740763835544275813080012276436347672095739173571053246428765148546246358282856948695387223906224520916750848635524086658217513019530148150679142140061599842960522660532427066637642842695505721195838015735718169673348772398764562890724664071264560120535846991821174527676164227814757477725579468739524990041970181451127026701926124830896195313411935232953342349626294405257216420396788900293701341582733394365064213094546599691742233927471490023939323569736191501227998773933609333472699008644}
23069  26863078761477341198542544581780891652655286571161854935170383356766310884218: {184504,207567,484239,576475,691770,737888,806995,830124,899067,968394,1152850,1267915,1383420,1475648,1521498,1660104,1867617,2259194,2556219,2649715,3179658,3227420,3709279,3872904,4259995,4308667,4357017,4610600,4815151,4949515,5035467,5091619,5111994,5186925,5298970,5408995,5532720,5901568,5939418,6097915,6128906,6224310,6358764,6490794,6607027,6639264,7015915,7095567,7317498,7346251,7469172,7787858,7852207,8162515,8419098,8616586,8681179,8755580,9004339,9369547,9438610,9500239,9795018,9994586,10062799,10380667,10506696,10967516,11326332,11596315,11820033,11824915,11896687,12132067,12256748,12684571,13179452,13571770,13856234,13915578,14189898,14277980,14312179,14564995,14691226,15352339,15574364,15667880,15849067,16038667,16233427,16286124,16626938,17133576,17477994,17509640,17626365,17981995,18007114,18664315,18699548,18801456,19275273,19342767,19352251,19698345,19794620,19987436,20445970,20541679,21011568,21151638,21567434,21578394,21933128,22070515,22142354,22303688,22397178,22698706,22749967,23061979,23190610,23638014,23753544,23784699,23849756,24109915,24356218,24499387,24535164,24674769,24682219,24787867,24991599,25091649,25726298,26356616,26423516,26484618,26713640,26722737,26821498,26998779,27114026,27542684,27828732,28028467,28553480,28931898,29306995,29374725,29651193,29753468,30052845,30282476,30578527,30810620,30852739,31183754,31333040,31339459,31450965,31559995,32010115,32056368,32122665,32353466,33250988,33547696,33703267,33782799,34071080,34264176,34541947,34743019,35168394,35249670,35369967,35605315,36063414,36466898,36758794,36972744,37109852,37257297,37395848,37441625,37471676,37599648,37741158,37747880,37871994,38048527,38294995,38329965,38412138,38547198,38571667,38827051,39413995,39550027,40078927,40885296,41291067,41594337,41648995,41684079,41815785,41948698,42070329,42299604,42318715,42466365,42513379,42726378,43260680,43383658,43536812,43683610,43836367,44027529,44353925,44370859,44548220,44603504,44604266,44636539,44929950,45297456,45548107,45953994,45995958,46610696,46643119,46699219,47296794,47663515,47925280,48519836,48668265,49059452,49245739,49528927,49539787,49978794,50038351,50083725,50105515,50150059,50178942,50729468,50782458,50959638,51045067,51912816,52355467,52413725,52420332,52437033,52600719,52603651,53224710,53234779,53243048,53422640,53457864,53915940,54351967,55080584,55321441,55416715,56113939,56773024,57036298,57196218,57255610,57503059,57510336,57895676,58379259,58401918,58541899,58724515,58786867,58944715,59501768,59898429,60100470,60126618,60140097,60294639,60318547,60487867,60802399,61059279,61299338,61713212,61965657,62090105,62204619,62362076,62801288,62896470,62954834,62970127,63073867,63340315,63362750,63676399,63690746,63720380,63869652,64107168,64503067,64538659,64699128,64832731,65627372,65829187,66411919,66500058,66713170,66939489,67089568,67928047,68272904,68512819,68658159,68706732,69248995,69431336,69479986,70141519,70167567,70374067,70403707,70469418,70542524,70544379,70651449,70733658,70755610,70776115,70892419,71072659,71815747,72120564,72786519,73233679,73925967,74229667,74300619,74508126,74876750,75000379,75029818,75089146,75173804,75196699,75345715,75475764,75551299,76008378,76035300,76431115,76464456,76807017,76830127,77311699,77576527,77784271,77861049,78110253,79030630,79297867,79686139,80055804,80162770,80481416,81104320,81748299,81883567,82207027,82749007,82955311,83023688,83098794,83466634,83596719,84226747,84431995,84862915,84906732,84931338,85187359,85322445,85538779,86022513,86154715,86542959,86860570,87179851,87387465,87659995,87665098,87779899,87924956,88123954,88352474,88423532,88700150,88766467,89088680,89421045,89638351,89852100,90089626,90242474,90414858,90541593,90693679,90779048,90986780,91010608,91242360,91436925,91603567,91717338,92313931,92615804,92691725,93025327,93213296,93268819,93401649,93456667,93707419,94211067,94373084,94548751,94836756,94874170,95382448,95842240,96037219,96195324,96384459,96850796,97000651,97260547,97325184,97407944,97532720,98789659,99070906,99340147,99629967,99822045,99840658,99989499,...,769763891556719852503227404245781337627933321894804231533623755025228298284645857391347399748552225560946025647702196095633587215171880410819368242817273006235568456596398311406616326960365158303743755418609193822487345555405359786134380929698159573414160843969273320193077959527523483921232555450783860861448473321313489021546441771798728244001967020832107926251677786475335142263849349790146808117160590380287407610924078981253281890023484817979469874332827282995595361536629538267450295056252386518476042243531637958731557452977893352362352468680805907773362658325150477665646102638260709676111226577095159636153856574290309966417213310495338431251218222336864012194624845437673680512411701692453147849673333678584030271420775348823657343671777398402541084783995016430670562001539379341533628771225753402825936550539306397476858807630414532784104865292780865251263222192958662371283020897079207915215409351048667182125053394513394328293916167058059685235921400751858761498447473337176755031785419835149752852924094738406190777288604513735408577803876257616121169139226367409551776935716767349214505064291690045523953136024127234892337868097690040155289332585675096839247276875427748006625642674097047767210987992612086537548505573642118688210450937030409419384340674042970771585142848043267002517391117931256503381004319174349951159343192344580968851525593675272190760267939153947975439754265251714997418446053583129677644501716327919106127679309015376243060214233888228069585795001291769179445144222213485862081028391552207172197491298839157547105284601451022565445760921962515547062051639363918273863590798859570704861244580457368089009838729663228569530173233491680811999929133582751961198891584278359544698115825021610356935991657518809671354939463767522052465833172419729904025773115920933223463788129212831427809982221956885083687936330293121268646649270186354173436925870997680962135433401241871523463883118748245098122473040754001245666181203985907880145228000379331565276335029400908986910873702498793350273654919404370319472934652790756363006678191209271313742366551839724767366503578182894540074984217396397953677190212110965524996341487315563904350090860274572446536328785864285706879052927433157062135080637855536817805969265793692345030496711279082879684054177238751386246418644406405483886712921001907253941128821298627804556449702041282455519355973724813676289333637414413551283945377384997045401943486554650829657516875179231714579858214768239372848291449442021050236256085664253716182583330353483623228718786286000540839951248320388935545694500212616271065934786684705234919348031490121047778998122791183837464647403248137812810306633387818424448116552841830708704126364285635155735899730230008528834652075852371789865994579417399940888584945773044156382287679225191680481618232984540267264835838702705993398898389656888550799749259740416119085835093130318581911054575294087451529039767034816662861551973043626828348345057476515894987099470830204160463210894993985118883061253404450433977352805405385490103558072814257265873112717863256241313808878127283796367909923546052664536514623171005170056836156842703709059693407475851350001180687443602309789325607611145753316413719620018414654521508143608760356579869643147722819369537424285423043080835859336781375126272953286129987326269529295222226018713210092399764440783990798640599956464264043258581793757023603577254510023158598146844336086996106896840180803770487731761791514246341722136216588369203109287485062955272176690540052889187246344292970117902849430013524439441607885824630595183350440552012374100091547596319641819899537613350891207235035908985354604287251841998160900414000209048512966}
23070  26959405850556987909376149983478744554486691210292854667194354609408209849153: {161441,230630,253649,276756,299741,391901,507254,645652,668189,714209,922360,944189,990161,1037655,1106832,1198756,1219901,1245186,1291192,1336262,1357649,1452591,1541201,1729275,1844560,1888214,2028664,2075130,2163974,2213472,2228381,2282247,2457041,2490156,2502749,2913761,3388791,3408292,3415229,3733841,4034275,4239544,4415261,4551329,4769487,4823249,4841130,4913654,5163872,5763250,5809356,5998241,6009494,6448721,6673661,6713956,6815992,6915900,7376960,7526609,7648934,7667991,7919224,7929629,7948455,8019101,8299080,8465981,8478352,8599889,8654392,8739014,8852352,8909127,9011174,9090269,9193359,9336465,9460756,9490769,9538146,9736191,9756664,9757409,9801821,9958896,10156829,10334141,10944475,10976247,11203758,11225464,11262929,11351201,11454134,11681787,11724854,11748029,12628647,12803069,12806294,12924879,13060024,13133370,13197521,13503869,13709395,13853501,14008928,14157915,14424134,14692527,14812349,14991879,15073181,15101776,15320935,15680669,15760044,15768374,16243361,16305062,16451274,16474315,16989498,17536721,17644262,17751581,17847475,18052049,18309281,18385122,18554104,18919864,19191487,19463261,19467955,19513094,19515727,19548509,19584850,19769178,20186849,20311862,20357655,20738621,20784351,20823389,20873367,20950481,21284847,21416970,21584861,21714832,21880289,21887050,22006781,22036839,22469969,22722209,22764221,22844768,22890209,23062039,23303992,23361546,23374435,23501820,24020861,24354749,24429186,24743275,24940407,24984295,25068608,25077254,25700364,25790356,26216991,26264460,26392694,26842589,26883809,26917862,27010671,27254429,27416410,27879610,27952721,28015424,28049322,28202184,28239581,28362401,28689569,28771192,29354234,29535062,29691930,29812195,29862904,29981154,30317414,30520349,30668955,30803681,31358534,31409501,31517352,31530449,31671392,31712932,31727457,31772129,31973309,32013521,32137862,32214461,32351151,32367591,32575649,32713552,32721367,32899692,32945770,33029395,33213531,33322132,33336029,33392050,33415901,33455532,33595767,33695201,33774929,33934289,33951254,34013921,34048059,34428355,34785915,35085821,35312824,35457021,35499974,35599841,35630316,35691850,35718269,35774634,35998372,36015062,36191261,36529574,36534327,36780881,36802746,37104976,37191835,37251281,37300262,37368701,37853095,38032721,38305469,38513275,38575864,38589447,38733281,39028066,39166300,39534924,39635274,39726927,39779261,39817889,40070460,40232247,40242269,40357841,40370054,40473341,40671039,40784359,40819409,41164829,41314026,41563735,41743098,41934620,42197201,42349649,42588850,42741824,42830220,42882209,43147901,43165814,43397847,43451069,43791521,43829309,44244449,44621009,44630202,44808989,45043732,45423714,45440294,45685568,46156541,46215930,46305629,46387315,46587667,46744810,46775631,46839595,46891192,46999560,47159956,47184850,47419709,47715581,47953814,47974049,48084552,48195511,48489809,48530199,48710369,49187261,49296992,49406909,49676396,49876482,50132864,50321544,50495992,50682449,51008861,51106620,51216184,51396264,51804029,51945494,52064047,52308029,52752591,52874505,52943671,53061089,53096861,53185334,53680262,54075850,54095121,54272849,54343841,54421015,54485729,54513728,54592061,54700347,54951127,55054756,55138191,55193249,55228541,55459116,55510589,55578772,55664778,55685275,55754380,55983499,56093772,56207514,56399472,56611737,56621820,56637734,56773469,56807991,56968504,57401021,57618207,57644369,57820797,58263370,58268321,58441181,58648349,58703372,58958561,59330534,59405501,59474141,59577041,59679869,59738791,59906600,60192929,60396608,60533969,60602081,60649795,60752419,60908189,61044029,61271992,61324315,61327944,61552289,62058749,62260829,62564359,62732534,62923047,63062392,63266909,63411835,63449406,63634001,63733949,63867101,63940694,64066589,64089567,64431569,64530941,64663862,64891020,65075487,65145254,65305218,65356241,65525415,65553569,65750609,65947361,66156571,66241949,66405329,66437981,66553810,66638392,66698909,66778300,66822330,66905256,66906399,67394925,67709944,67866749,67946184,67963601,68478929,68671649,68737334,68767901,68850730,68928161,68930991,68960189,68993937,69120209,69217088,69790109,69893776,69916044,69980861,70134292,70203041,70298141,70421239,70456481,70677821,70772561,70945191,70966280,71277152,71350934,71527889,71621981,71887920,72369595,72621149,72645727,72745469,72779754,73179581,73272401,73476374,73550429,73589178,73735421,74012369,74196641,74377210,74594909,74869841,74968191,75204989,75235409,75268413,76094202,76114109,76173687,76261624,76295069,76439457,76565969,76680448,77135741,77141515,77643089,77839012,77869224,77940449,77952595,78390374,78501610,78562301,78621341,78630498,78650849,79268669,79415249,79431667,79551014,79634282,79650475,79707809,79837065,79864572,80014262,80133960,80168824,80186796,80319581,80392852,80464721,80667581,80873910,81100961,81273809,81412372,81532541,81561634,82019489,82034215,82276349,82620876,82939492,83325521,83459642,83470262,83803901,83861960,84224081,84252029,84503201,85159536,85231951,85341130,85473821,85476224,85554447,85556561,85749341,85794327,85883415,85969181,86215889,86265504,86336767,86380001,86734589,86789170,86843514,87142049,87466721,87574694,87602877,87709469,87870941,87924701,88178155,88647329,88666744,88886909,89158262,89252652,89482627,89522621,89601761,89707169,89996381,90150705,90189927,90258461,90467549,90493649,90624029,90650081,91402109,91416391,91544212,91608976,91634129,91814141,91949007,92249681,92504801,92569818,92657489,92784509,93167242,93315809,93341021,93431191,93543114,93556756,93918689,93943709,93959224,93967255,94059172,94201932,94293149,94311544,94344705,94432251,94467281,94591421,94741306,95044125,95258321,95421974,95451499,95536119,95577341,95580570,95804478,95865062,95943761,96160752,96284129,96647069,96665179,96863969,96968354,97008209,97048692,97411334,97510781,97606109,98293409,98383831,98434769,98441058,98458301,98567956,98646269,98810321,98927261,99067492,99137249,99344168,99439421,99508961,99578429,99750087,99924689,...,1154645837335079778754841106368672006441899982842206347300435632537842447426968786087021099622828338341419038471553294143450380822757820616229052364225909509353352684894597467109924490440547737455615633127913790733731018333108039679201571394547239360121241265953909980289616939291285225881848833176175791292172709981970233532319662657698092366002950531248161889377516679713002713395774024685220212175740885570431111416386118471879922835035227226969204811499240924493393042304944307401175442584378579777714063365297456938097336179466840028543528703021208861660043987487725716498469153957391064514166839865642739454230784861435464949625819965743007646876827333505296018291937268156510520768617552538679721774510000517876045407131163023235486015507666097603811627175992524646005843002309069012300443156838630104238904825808959596215288211445621799176157297939171297876894833289437993556924531345618811872823114026573000773187580091770091492440874250587089527853882101127788142247671210005765132547678129752724629279386142107609286165932906770603112866705814386424181753708839551114327665403575151023821757596437535068285929704036190852338506802146535060232933998878512645258870915313141622009938464011145571650816481988918129806322758360463178032315676405545614129076511011064456157377714272064900503776086676896884755071506478761524926739014788516871453277288390512908286140401908730921963159631397877572496127669080374694516466752574491878659191518963523064364590321350832342104378692501937653769167716333320228793121542587328310758296236948258736320657926902176533848168641382943773320593077459045877410795386198289356057291866870686052133514758094494842854295259850237521217999893700374127941798337376417539317047173737532415535403987486278214507032409195651283078698749758629594856038659673881399835195682193819247141714973332935327625531904495439681902969973905279531260155388806496521443203150101862807285195824678122367647183709561131001868499271805978861820217842000568997347914502544101363480366310553748190025410482379106555479209401979186134544510017286813906970613549827759587151049755367274341810112476326094596930515785318166448287494512230973345856525136290411858669804493178796428560318579391149735593202620956783305226708953898690538517545745066918624319526081265858127079369627966609608225830069381502860880911693231947941706834674553061923683279033960587220514434000456121620326925918066077495568102915229831976244486275312768847571869787322152359059272437174163031575354384128496380574273874995530225434843078179429000811259926872480583403318541750318924406598902180027057852379022047235181571668497184186775756196971104872206719215459950081727636672174829262746063056189546428452733603849595345012793251978113778557684798991869126099911332877418659566234573431518837787520722427349476810400897253758054058990098347584485332826199623889610624178628752639695477872866581862941131177293559650552224994292327959565440242522517586214773842480649206245306240694816342490977678324591880106675650966029208108078235155337109221385898809669076794884361970713317190925694551864885319078996804771934756507755085254235264055563589540111213777025001771031165403464683988411416718629974620579430027621981782262215413140534869804464721584229054306136428134564621253789005172062689409429929194980989404293942833339028069815138599646661175986197960899934696396064887872690635535405365881765034737897220266504130494160345260271205655731597642687271369512583204324882553804663931227594432908265035810079333780869516439455176854274145020286659162411828736945892775025660828018561150137321394479462729849306420026336810852553863478031906430877762997241350621000313572769449}
23071  27056076081049840595448335431162404436505047923818914011298757815312233224868: {23071,345945,369008,415134,760881,807065,968478,1129793,1152950,1383540,1475776,1498445,1613990,1660248,1775081,1798134,1867779,1936788,2004393,2305700,2535830,2766840,2832321,2951296,3042996,3112695,3245961,3320208,3709601,3735234,4260365,4518388,4815569,5092061,5112438,5299430,5690633,5963993,6359316,6454840,6929321,7261695,7370481,7418558,7572593,7745808,7852889,8392445,8519990,8537081,8617334,8644875,8681933,8714034,9014241,9221200,9279881,9630302,9822281,9899030,10063673,10070934,10183238,10223988,10373850,10597940,10817990,10887041,11065440,11073101,11427521,11473401,11803136,11825945,11878836,12195830,12257812,12268061,12448620,12717528,12981588,13108521,13214054,13278528,13516761,13559369,14031830,14059721,14191134,14307219,14477693,14634996,14692502,14938344,15575716,15704414,16234841,16325030,16411121,16554881,16805637,16821041,16838196,16945841,17181201,17233172,17362358,17511160,17587281,17925569,18008678,18739094,18877220,19000478,19209441,19582361,19590036,19700055,19989172,20125598,20390993,20686889,20761334,21013392,21636201,21935032,22652664,23192630,23640066,23649830,23652561,23793374,23843741,24264134,24457593,24501521,24513496,24676911,25174793,25369142,25484247,25775153,26130041,26358904,26384441,26466393,27143540,27577683,27712468,27831156,28379796,28555960,28624358,28953821,29129990,29269641,29377275,29382452,29653767,30467793,30704678,30898721,31148728,31335760,31698134,32077334,32125455,32237945,32466854,32572248,32830575,33253876,33500801,33753881,34267152,34482473,34880381,34955988,35019280,35042319,35046209,35252730,35963990,36014228,36643779,37328630,37399096,37602912,37615881,38550546,38685534,38704502,38830433,39396690,39589041,39589240,39641165,39974872,40376793,40822301,40891940,41029793,41083358,41124615,41652665,41819415,42023136,42073983,42303276,43134868,43156788,43866256,44031351,44141030,44183993,44284708,44302593,44537895,44607376,44794356,44814161,44966441,44971731,44997965,45397412,45476121,45499934,46123958,46381220,46740941,47037801,47276028,47507088,47514953,47569398,47699512,47714921,48206793,48219830,48712436,48957875,48998774,49070328,49349538,49364438,49418655,49575734,49847441,49983198,50042729,50088075,50183298,50926881,51452596,51850061,52418275,52608233,52713232,52847032,52969236,53249961,53427280,53445474,53537775,53612993,53642996,53661951,53829581,53997558,54022593,54228052,54794361,55085368,55179593,55204119,55657464,55950393,56056934,56231489,56304665,57050369,57106960,57863796,58308593,58542099,58547021,58613990,58749450,58949945,59136233,59246201,59302386,59452911,59506936,60105690,60323801,60555081,60564952,61157054,61621240,61705478,61971039,62017661,62095495,62367508,62614647,62666080,62678918,62901930,63079361,63119990,63883275,64020230,64112736,64245330,64706932,64748721,65702969,65834921,66150641,66501976,66728921,66945303,66952241,67095392,67406534,67565598,68135571,68142160,68160441,68528352,68818445,68989601,69083894,69323895,69419801,69473465,69486038,69692975,70117215,70147721,70336788,70499340,70739934,70777275,70904801,71210630,71485661,71930721,72126828,72933796,73237841,73379215,73517588,73945488,74219704,74419241,74514594,74791696,74814723,74883250,74943352,75006941,75199296,75482316,75495760,75743988,76097054,76589990,76659930,76824276,77094396,77143334,77583401,77654102,77918241,78653369,78827990,79100054,79778001,80157854,80278601,80520393,81113775,81770592,82214321,82320893,82522601,82582134,82962569,83188674,83204381,83297990,83368158,83472875,83497167,83631570,83823953,83897396,84140658,84311271,84599208,84637430,84932730,84956601,85026758,85452756,86407193,86521360,86767316,86926147,87073624,87367220,87395055,87667865,87672734,88055058,88676441,88707850,88741718,88995801,89096440,89207008,89208532,89273078,89859900,90594912,90799241,91096214,91907988,91991916,93221392,93286238,93398438,93715661,93768041,94098801,94593588,95174109,95327030,95832701,95850560,95911041,96948593,96995793,97039672,97298765,97336530,97717881,97794281,97957827,98118904,98491478,98680409,99057854,99079574,99086561,99540701,99830715,99957588,...,1539527783113439705006454808491562675255866643789608463067247510050456596569291714782694799497104451121892051295404392191267174430343760821638736485634546012471136913192796622813232653920730316607487510837218387644974691110810719572268761859396319146828321687938546640386155919055046967842465110901567721722896946642626978043092883543597456488003934041664215852503355572950670284527698699580293616234321180760574815221848157962506563780046969635958939748665654565991190723073259076534900590112504773036952084487063275917463114905955786704724704937361611815546725316650300955331292205276521419352222453154190319272307713148580619932834426620990676862502436444673728024389249690875347361024823403384906295699346667357168060542841550697647314687343554796805082169567990032861341124003078758683067257542451506805651873101078612794953717615260829065568209730585561730502526444385917324742566041794158415830430818702097334364250106789026788656587832334116119370471842801503717522996894946674353510063570839670299505705848189476812381554577209027470817155607752515232242338278452734819103553871433534698429010128583380091047906272048254469784675736195380080310578665171350193678494553750855496013251285348194095534421975985224173075097011147284237376420901874060818838768681348085941543170285696086534005034782235862513006762008638348699902318686384689161937703051187350544381520535878307895950879508530503429994836892107166259355289003432655838212255358618030752486120428467776456139171590002583538358890288444426971724162056783104414344394982597678315094210569202902045130891521843925031094124103278727836547727181597719141409722489160914736178019677459326457139060346466983361623999858267165503922397783168556719089396231650043220713871983315037619342709878927535044104931666344839459808051546231841866446927576258425662855619964443913770167375872660586242537293298540372708346873851741995361924270866802483743046927766237496490196244946081508002491332362407971815760290456000758663130552670058801817973821747404997586700547309838808740638945869305581512726013356382418542627484733103679449534733007156365789080149968434792795907354380424221931049992682974631127808700181720549144893072657571728571413758105854866314124270161275711073635611938531587384690060993422558165759368108354477502772492837288812810967773425842003814507882257642597255609112899404082564911038711947449627352578667274828827102567890754769994090803886973109301659315033750358463429159716429536478745696582898884042100472512171328507432365166660706967246457437572572001081679902496640777871091389000425232542131869573369410469838696062980242095557996245582367674929294806496275625620613266775636848896233105683661417408252728571270311471799460460017057669304151704743579731989158834799881777169891546088312764575358450383360963236465969080534529671677405411986797796779313777101599498519480832238171670186260637163822109150588174903058079534069633325723103946087253656696690114953031789974198941660408320926421789987970237766122506808900867954705610810770980207116145628514531746225435726512482627617756254567592735819847092105329073029246342010340113672313685407418119386814951702700002361374887204619578651215222291506632827439240036829309043016287217520713159739286295445638739074848570846086161671718673562750252545906572259974652539058590444452037426420184799528881567981597281199912928528086517163587514047207154509020046317196293688672173992213793680361607540975463523583028492683444272433176738406218574970125910544353381080105778374492688585940235805698860027048878883215771649261190366700881104024748200183095192639283639799075226701782414470071817970709208574503683996321800828000418097025932}
23072  27153090667259444827006459641732449313367387682362396762575394929431922352891: {299767,322882,438007,461260,507298,553512,599482,622701,714271,783802,990247,1014508,1291304,1336378,1403671,1428418,1452717,1729425,1816447,1844720,1888378,1980322,2075310,2213664,2397512,2420985,2439802,2490372,2502967,2582384,2672524,2697201,2715298,2882125,2905182,3082402,3458550,3461071,3689120,3776428,3803745,4057328,4150260,4327948,4426944,4456762,4564494,4823671,4914082,4980312,5005498,5602851,5647985,5827522,6777582,6816584,6830458,7467682,7527271,7668657,7949145,8068550,8466727,8479088,8830522,9102658,9536071,9538974,9646498,9682260,9802687,9827308,10327744,11127837,11263927,11526500,11618712,11793127,11996482,12018988,12189271,12779985,12848071,12897442,12926001,13071051,13247425,13347322,13427912,13631984,13831800,13898407,14160271,14445453,14753920,14848545,15053218,15106401,15274857,15297868,15322265,15335982,15465271,15560775,15838448,15859258,15896910,16038202,16226985,16598160,16931962,16956704,17151007,17199778,17308784,17478028,17704704,17818254,18022348,18180538,18293745,18386718,18672930,18921512,18981538,19076292,19193153,19469645,19472382,19513328,19514818,19592887,19603642,19821081,19917792,20313658,20358607,20668282,21047745,21286701,21449309,21541465,21888950,21952494,22038753,22261567,22407516,22450928,22514071,22525858,22702402,22766287,22908268,23064041,23363574,23449708,23496058,23521207,23556621,23596525,24487545,24773647,24986465,25257294,25606138,25612588,25849758,26043537,26120048,26266740,26267071,26395042,26514967,26886271,27007738,27013017,27255137,27418790,27707002,28017856,28108641,28315830,28500717,28733071,28848268,29385054,29624698,29983758,30146362,30188397,30203552,30320527,30641870,30664909,30806527,31142001,31361338,31520088,31533367,31536748,31775071,32016487,32486722,32610124,32724209,32902548,32948630,33219247,33339127,33929425,33937447,33978996,34640585,34788945,34978013,35073442,35288524,35460099,35474745,35503162,35690061,35694950,36104098,36194647,36396201,36618562,36728065,36770244,37108208,37372207,37489567,37839728,38053713,38075287,38382974,38926522,38935910,39026188,39031454,39097018,39169700,39473671,39538356,39821647,40373698,40623724,40715310,40861687,41207071,41477242,41567345,41568702,41646778,41737073,41746734,41900962,42353671,42569694,42833940,42936537,43152007,43169722,43429664,43694985,43760578,43774100,43833487,44013562,44073678,44286367,44850847,44939938,45017785,45444418,45528442,45689536,45780418,46057017,46124078,46241153,46607984,46723092,46748870,47003640,47547201,48041722,48116001,48199697,48531271,48700281,48709498,48858372,49486550,49880814,49968590,50137216,50154508,50941327,51114925,51400728,51580712,51809071,52068569,52133287,52349071,52433982,52528920,52785388,52879095,52994333,53102047,53685178,53767618,53835724,53918585,53945985,54021342,54508858,54703687,54832820,55233967,55339807,55355885,55551271,55759220,55867927,55905442,55992945,56030848,56098644,56404368,56479162,56724802,56746765,56814007,57379138,57542384,57825819,57976525,58028301,58056753,58189229,58708468,59070124,59095035,59383860,59624390,59720071,59725808,59962308,60233071,60634828,60890545,61040698,61050127,61253671,61337910,61558447,61607362,61625037,62064967,62569793,62717068,62819002,63034704,63060898,63273271,63342784,63425864,63454914,63544258,63946618,64027042,64073047,64084141,64275724,64315745,64428922,64471207,64570567,64702302,64735182,64769071,64942241,65151298,65427104,65442734,65461567,65560207,65575433,65799384,65891540,66058790,66162317,66211545,66427062,66444727,66644264,66672058,66738271,66784100,66831802,66911064,67053745,67191534,67390402,67549858,67785065,67868578,67902508,67905967,68002807,68027842,68096118,68249901,68856710,68967247,69159271,69185937,69571830,69638071,69829087,70171642,70590271,70625648,70779847,70914042,70999948,71199682,71260632,71354097,71383700,71436538,71535271,71549268,71996744,72030124,72286087,72329745,72382522,73059148,73068654,73202833,73498161,73561762,73588927,73605492,73939697,74024307,74046657,74050807,74209952,74363601,74383670,74502562,74600524,74602687,74737402,74974797,75243271,75274947,75706190,76065442,76189421,76333207,76604071,76610938,77026550,77151728,77178894,77466562,77681047,77770327,77959385,78056132,78332600,78570607,78659167,79069848,79270548,79453854,79558522,79635778,80140920,80168211,80464494,80484538,80715682,80740108,80780689,80883665,80946682,80996337,81342078,81568718,81638818,82329658,82628052,83127470,83486196,83841007,83869240,84085401,84261127,84394402,84699298,84846271,84909713,85177700,85262071,85483648,85510687,85660440,85764418,85854041,86295802,86331628,86795694,86902138,87151567,87476287,87583042,87658618,87920985,88124175,88488898,88523671,88776569,88953579,89082607,89242018,89260404,89617978,89717071,90087464,90158535,90503671,90660127,90847428,90880588,91127767,91167245,91371136,91670071,91735581,91824367,91896985,92313082,92431860,92558217,92611258,92774630,93048367,93175334,93351487,93489620,93551262,93679190,93782384,93954271,93999120,94018377,94319912,94352895,94369700,94477927,94679985,94839418,95431162,95588167,95907628,95948098,96027727,96030345,96169104,96367995,96391022,96682207,96899071,96979618,97060398,97402567,97420738,97617271,98115727,98328271,98374522,98469607,98593984,98813818,98821687,98891887,99013321,99352792,99752964,99936247,...,2309291674670159557509682212737344012883799965684412694600871265075684894853937572174042199245656676682838076943106588286900761645515641232458104728451819018706705369789194934219848980881095474911231266255827581467462036666216079358403142789094478720242482531907819960579233878582570451763697666352351582584345419963940467064639325315396184732005901062496323778755033359426005426791548049370440424351481771140862222832772236943759845670070454453938409622998481848986786084609888614802350885168757159555428126730594913876194672358933680057087057406042417723320087974975451432996938307914782129028333679731285478908461569722870929899251639931486015293753654667010592036583874536313021041537235105077359443549020001035752090814262326046470972031015332195207623254351985049292011686004618138024600886313677260208477809651617919192430576422891243598352314595878342595753789666578875987113849062691237623745646228053146001546375160183540182984881748501174179055707764202255576284495342420011530265095356259505449258558772284215218572331865813541206225733411628772848363507417679102228655330807150302047643515192875070136571859408072381704677013604293070120465867997757025290517741830626283244019876928022291143301632963977836259612645516720926356064631352811091228258153022022128912314755428544129801007552173353793769510143012957523049853478029577033742906554576781025816572280803817461843926319262795755144992255338160749389032933505148983757318383037927046128729180642701664684208757385003875307538335432666640457586243085174656621516592473896517472641315853804353067696337282765887546641186154918091754821590772396578712114583733741372104267029516188989685708590519700475042435999787400748255883596674752835078634094347475064831070807974972556429014064818391302566157397499517259189712077319347762799670391364387638494283429946665870655251063808990879363805939947810559062520310777612993042886406300203725614570391649356244735294367419122262003736998543611957723640435684001137994695829005088202726960732621107496380050820964758213110958418803958372269089020034573627813941227099655519174302099510734548683620224952652189193861031570636332896574989024461946691713050272580823717339608986357592857120637158782299471186405241913566610453417907797381077035091490133837248639052162531716254158739255933219216451660138763005721761823386463895883413669349106123847366558067921174441028868000912243240653851836132154991136205830459663952488972550625537695143739574644304718118544874348326063150708768256992761148547749991060450869686156358858001622519853744961166806637083500637848813197804360054115704758044094470363143336994368373551512393942209744413438430919900163455273344349658525492126112379092856905467207699190690025586503956227557115369597983738252199822665754837319132469146863037675575041444854698953620801794507516108117980196695168970665652399247779221248357257505279390955745733163725882262354587119301104449988584655919130880485045035172429547684961298412490612481389632684981955356649183760213351301932058416216156470310674218442771797619338153589768723941426634381851389103729770638157993609543869513015510170508470528111127179080222427554050003542062330806929367976822833437259949241158860055243963564524430826281069739608929443168458108612272856269129242507578010344125378818859858389961978808587885666678056139630277199293322351972395921799869392792129775745381271070810731763530069475794440533008260988320690520542411311463195285374542739025166408649765107609327862455188865816530071620158667561739032878910353708548290040573318324823657473891785550051321656037122300274642788958925459698612840052673621705107726956063812861755525994482701242000627145538898}
23073  27250450827758170697369121318964778235387636992043555942564483375443992247129: {46142,484323,576575,691890,738016,760947,830268,899223,1129891,1175703,1268135,1521762,1614130,1936956,2004567,2097823,2142627,2259586,2305900,2767080,2832567,2951552,2970483,2996890,3112965,3227980,3320496,3340655,3550162,3596268,3659703,3735558,3873576,4008786,4072947,4357773,4611400,4623603,4720535,5071660,5187825,5409935,5533680,5664642,5691127,5828867,5902592,5964511,6085992,6225390,6491922,6640416,6658271,6685143,6846741,7371123,7419202,7470468,7508247,8520730,8741283,9036776,9280687,9631138,10166373,10184122,10224876,10245687,10382471,10598860,11201523,11352311,11381266,11749423,11927986,12102825,12181283,12284135,12718632,12866503,12909680,13245783,13653987,13858642,14308461,14408125,14469747,14523390,14740962,14837116,14928947,15023735,15145186,15355007,15491616,15705778,16180951,16556323,16784890,17039980,17074162,17234668,17289750,17363866,17428068,17994723,18028482,18442400,18559762,18799987,19122335,19260604,19346163,19644562,19798060,20020983,20026903,20127346,20141868,20366476,20447976,20725703,20747700,21195880,21635980,21774082,21847535,22113571,22130880,22146202,22490567,22527935,22579827,22855042,22946802,23003973,23606272,23651890,23757672,23788887,23845365,24057303,24391660,24515624,24536122,24866243,24897240,25397943,25435056,25509671,25799667,25963176,26217042,26428108,26557056,26648887,26727381,27033522,27118738,27270807,27350567,27580077,28009395,28063660,28119442,28382268,28472307,28614438,28635335,28955386,28956343,29208573,29269992,29272227,29312135,29385004,29405463,29876688,30470487,31002423,31151432,31408828,32015735,32414903,32469682,32650060,32822242,32833425,32928741,33109762,33611274,33642082,33676392,33788787,33891682,34053603,34362402,34466344,34724716,35022320,35045361,35174562,35244087,35851138,36017356,36060335,36581863,37478188,37754440,37885941,38000956,38409207,38418882,38774637,39164722,39180072,39400110,39420935,39592563,39978344,40251196,40511607,40762655,40781986,41128185,41373778,41418247,41522668,41560503,42026784,42473745,43272402,43870064,44073503,44077581,44110655,44437047,44975637,45133123,45219543,45305328,45962805,46385260,47001167,47042007,47280132,47299660,47301407,47305122,47586748,47687482,48051971,48528268,48730083,48782735,48915186,48962125,49003042,49026992,49353822,49422945,50349586,50738284,50779655,50968494,51550306,52260082,52610163,52717808,52768882,52932786,53254743,53542425,54156147,54287080,54717625,54927843,55155366,55267127,55424936,55497631,55571687,55662312,56236387,56462723,56759592,57111920,57225743,57248716,57574461,57907642,58023431,58259980,58313731,58389783,58403865,58539282,58547181,58645527,58754550,58764904,59141407,59307534,59613263,60560547,60935586,61072965,61409356,61797442,62023063,62215863,62297456,62353053,62470167,62620101,62671520,62693135,62851443,62981171,62997151,63396268,63854541,64154668,64250910,64475890,64754583,64933708,65144496,65640867,65661150,65981735,66020343,66110517,66156403,66507752,66839471,67001602,67200047,67294655,67409907,67507762,68166627,68292663,68534304,68541025,68670627,68964946,69186117,69614711,69699025,69760762,69911976,70038560,70084638,70092418,70123305,70505460,71173511,71799047,71927980,72028456,72062583,73064247,73287558,73384487,73385585,73837655,74229825,74657260,74798192,74821221,74952885,75205824,75231762,75793535,76554791,77101092,77371068,77409004,77660866,77831171,78396335,78481727,78650973,78793380,78826531,79178082,79178480,79282330,79949744,80344655,80527767,80651427,80753586,81032013,81644602,81763287,81783880,82041583,82059586,82166716,82249230,82364425,82529923,83305330,83480125,83638830,83719007,83796583,83831287,83858163,84046272,84147966,84606552,84718743,84878135,85087203,86068707,86269736,86313576,86933693,87732512,88062702,88179047,88282060,88367986,88569416,88605186,88749935,89075790,89214752,89229625,89436585,89500643,89588712,89628322,89932882,89943462,89995930,90037655,90794824,90952242,90999868,91009511,91027583,91323935,91561047,92006865,92247916,92411043,92705471,92762440,93250655,93481882,94075602,94159907,94228503,94552056,94591347,95014176,95029906,95138796,95182371,95316387,95399024,95429842,95546627,95919927,95945471,96040563,96108227,96345823,96413586,96439660,96643383,97053453,97102773,97262851,97424872,97570165,97726947,97915750,97997548,98140656,98164101,98699076,98728876,98837310,99088185,99151468,99640593,99694882,99966396,...,3463937512005239336264523319106016019325699948526619041901306897613527342280906358261063298868485015024257115414659882430351142468273461848687157092677728528060058054683792401329773471321643212366846899383741372201193054999324119037604714183641718080363723797861729940868850817873855677645546499528527373876518129945910700596958987973094277098008851593744485668132550039139008140187322074055660636527222656711293334249158355415639768505105681680907614434497722773480179126914832922203526327753135739333142190095892370814292008538400520085630586109063626584980131962463177149495407461872173193542500519596928218362692354584306394848877459897229022940630482000515888054875811804469531562305852657616039165323530001553628136221393489069706458046522998292811434881527977573938017529006927207036901329470515890312716714477426878788645864634336865397528471893817513893630684499868313980670773594036856435618469342079719002319562740275310274477322622751761268583561646303383364426743013630017295397643034389258173887838158426322827858497798720311809338600117443159272545261126518653342982996210725453071465272789312605204857789112108572557015520406439605180698801996635537935776612745939424866029815392033436714952449445966754389418968275081389534096947029216636842387229533033193368472133142816194701511328260030690654265214519436284574780217044365550614359831865171538724858421205726192765889478894193632717488383007241124083549400257723475635977574556890569193093770964052497026313136077505812961307503148999960686379364627761984932274888710844776208961973780706529601544505924148831319961779232377137632232386158594868068171875600612058156400544274283484528562885779550712563653999681101122383825395012129252617951141521212597246606211962458834643521097227586953849236096249275888784568115979021644199505587046581457741425144919998805982876595713486319045708909921715838593780466166419489564329609450305588421855587474034367102941551128683393005605497815417936585460653526001706992043743507632304090441098931661244570076231447137319666437628205937558403633530051860441720911840649483278761453149266101823025430337428978283790791547355954499344862483536692920037569575408871235576009413479536389285680955738173449206779607862870349915680126861696071615552637235200755872958578243797574381238108883899828824677490208144508582642735079695843825120504023659185771049837101881761661543302001368364860980777754198232486704308745689495928733458825938306542715609361966457077177817311522489094726063152385489141722821624986590676304529234538287002433779780617441750209955625250956773219796706540081173557137066141705544715005491552560327268590913314616620157646379850245182910016524487788238189168568639285358200811548786035038379755934341335673054396975607378299733998632255978698703720294556513362562167282048430431202691761274162176970295042753455998478598871668831872535886257919086433618599745588823393531880678951656674982876983878696320727567552758644321527441947618735918722084449027472933034973775640320026952898087624324234705466011327664157696429007230384653085912139951572777083655594655957236990414315804269523265255762705792166690768620333641331075005313093496210394051965234250155889923861738290082865945346786646239421604609413394164752687162918409284403693863761367015516188068228289787584942968212881828500017084209445415798939983527958593882699804089188194663618071906606216097645295104213691660799512391482481035780813616967194792928061814108537749612974647661413991793682783298724795107430238001342608549318365530562822435060859977487235486210837678325076982484055683450411964183438388189547919260079010432557661590434095719292633288991724051863000940718308347}
23074  27348157785402120632696066948008424668019833594872030928433583590346221878752: {69213,253693,391969,599534,645764,876014,922520,1014596,1037835,1082269,1107024,1198964,1220113,1245402,1428542,1567604,1633213,1980494,2029016,2282643,2320273,2421195,2582608,2594593,2672756,2807342,2856836,2882375,2905434,3005533,3142369,3389379,3458850,3632894,3689440,3776756,3825469,3960644,3961873,4034975,4150620,4427328,4495335,4506769,4795024,4841970,4879604,4980744,5005934,5164768,5325243,5345048,5394402,5430596,5603337,5764250,5810364,5863969,5999293,6013179,6164804,6339575,6917100,6922142,7378240,7552856,7607490,7886269,7907179,8020513,8114656,8300520,8496963,8655896,8690653,8853888,8913524,9128988,9338085,9647342,9737883,9759133,9828164,9960624,10010996,10424593,11128803,11205702,11295970,11353213,11655044,12673693,12781095,13248575,13331233,13555164,13633168,13660916,14379553,14446707,14935364,15054542,15162769,15276183,15293053,15337314,15898290,16137100,16933454,16958176,17071899,17661044,17754769,17891979,18205316,18398269,18546395,19072142,19077948,19292996,19364520,19552033,19605374,19654616,20655488,20787963,20827153,21299975,21451171,21543335,21715453,21785085,22111443,22255674,22527854,22717779,23053000,23237424,23355793,23558667,23586254,23992964,24037976,24075755,24108769,24378542,24747575,25177335,25458095,25482493,25559970,25611243,25696142,25794884,25852002,25855633,25934625,26045799,26104033,26142102,26494850,26694644,26723773,26855824,27042723,27044975,27257503,27263968,27663600,27796814,27839643,28320542,28326673,28449469,28890906,29466843,29507840,29551393,29697090,29795473,30106436,30158051,30191019,30212802,30489575,30549714,30595736,30644530,30667571,30671964,30890269,30930542,31121550,31676896,31718516,31793820,32076404,32099869,32453970,32581693,32661123,33035135,33196320,33219303,33422113,33781213,33863924,33913408,34020253,34282563,34302014,34399556,34420203,34497469,34617568,34956056,34981051,35079575,35409408,35477835,35636508,35685469,36044696,36240347,36276769,36361076,36587490,36731255,36773436,36804183,36983953,37345860,37843024,37963076,38152584,38386306,38939290,38944764,39026656,39029636,39185774,39206269,39207284,39261035,39325563,39642162,39835584,40550283,40627316,40678107,40717214,40812575,40827133,41336564,41632273,42095490,42179163,42573402,42898618,42921657,43082930,43345693,43405895,43433079,43777900,43904988,44077506,44252893,44523134,44815032,44901856,45021695,45028142,45042913,45051716,45404804,45532574,45816536,46128082,46727148,46847735,46899416,46992116,47042414,47113242,47169469,47193050,47501195,48496819,48704523,48829969,48975090,49233363,49270033,49489633,49547294,49664643,49818493,49972930,50313995,50416911,50463123,50474269,50514588,50837523,51212276,51225176,51419291,51543603,51699516,51903335,51994333,52087074,52240096,52533480,52534142,52761843,52790084,53029934,53071453,53772542,53776707,53821153,54015476,54026034,54354493,54510274,54837580,55414004,55732753,56035712,56217282,56364769,56631660,57001434,57466142,57516733,57628323,57696536,57981575,58194283,58452769,58747083,58770108,58970269,59100165,59124575,59249396,59483435,59485969,59967516,60292724,60376794,60407104,60409693,60614173,60641054,60660335,61172979,61283740,61329818,61613054,61632253,62060667,62284002,62542369,62722676,63024899,63040176,63066734,63073496,63422855,63550142,63946513,64032974,64089707,64908603,64973444,65220248,65448418,65632573,65805096,65897260,66026269,66438494,66678254,67102993,67858850,67874894,67957992,68364253,69038353,69281170,69577890,69956026,70146884,70375969,70577048,70920198,70949490,70957683,71006324,71228413,71380122,71389900,71531223,71560895,71699473,72208196,72389294,72792402,72824975,73209191,73237124,73372779,73456130,73504563,73540488,73946119,74030733,74212093,74216416,74744414,74946493,74979134,75037969,75486019,75524379,75679456,75735803,76107426,76150574,76311073,76452741,76761695,76765948,77325459,77391073,77498239,77853044,77871820,78052376,78062908,78194036,78194269,78339400,78390123,78637969,78947342,79076712,79153323,79245335,79399179,79445471,79643294,80193335,80307613,80747396,81167135,81247448,81430620,81723374,81779473,81814931,82414142,82733049,82954484,82975969,83134690,83137404,83293556,83315233,83474146,83493468,83801924,84707342,85139388,85246763,85667880,85873074,85987873,86304014,86339444,86351771,86398813,86512439,86644513,86807953,86859328,86861463,87389970,87521156,87539869,87548200,87666974,87808923,87943969,88027124,88131825,88147356,88572734,88961301,89463133,89621533,89701694,89879876,89909975,90035570,90042043,90888836,91056884,91379072,91403379,91499869,91560836,92114034,92248156,92346913,92482306,92576413,92696163,93215968,93321575,93412369,93446184,93497740,93875243,94007280,94899091,95094402,95353633,95468087,95647969,96083444,96232002,96376365,96378769,96399394,96669073,96713835,96761255,97062542,97400562,97418996,97716744,97747453,98491725,98527969,98973100,99508753,99761628,99937180,99993853,...,4618583349340319115019364425474688025767599931368825389201742530151369789707875144348084398491313353365676153886213176573801523291031282464916209456903638037413410739578389868439697961762190949822462532511655162934924073332432158716806285578188957440484965063815639921158467757165140903527395332704703165168690839927880934129278650630792369464011802124992647557510066718852010853583096098740880848702963542281724445665544473887519691340140908907876819245996963697973572169219777229604701770337514319110856253461189827752389344717867360114174114812084835446640175949950902865993876615829564258056667359462570957816923139445741859798503279862972030587507309334021184073167749072626042083074470210154718887098040002071504181628524652092941944062030664390415246508703970098584023372009236276049201772627354520416955619303235838384861152845782487196704629191756685191507579333157751974227698125382475247491292456106292003092750320367080365969763497002348358111415528404511152568990684840023060530190712519010898517117544568430437144663731627082412451466823257545696727014835358204457310661614300604095287030385750140273143718816144763409354027208586140240931735995514050581035483661252566488039753856044582286603265927955672519225291033441852712129262705622182456516306044044257824629510857088259602015104346707587539020286025915046099706956059154067485813109153562051633144561607634923687852638525591510289984510676321498778065867010297967514636766075854092257458361285403329368417514770007750615076670865333280915172486170349313243033184947793034945282631707608706135392674565531775093282372309836183509643181544793157424229167467482744208534059032377979371417181039400950084871999574801496511767193349505670157268188694950129662141615949945112858028129636782605132314794999034518379424154638695525599340782728775276988566859893331741310502127617981758727611879895621118125040621555225986085772812600407451229140783298712489470588734838244524007473997087223915447280871368002275989391658010176405453921465242214992760101641929516426221916837607916744538178040069147255627882454199311038348604199021469097367240449905304378387722063141272665793149978048923893383426100545161647434679217972715185714241274317564598942372810483827133220906835815594762154070182980267674497278104325063432508317478511866438432903320277526011443523646772927791766827338698212247694733116135842348882057736001824486481307703672264309982272411660919327904977945101251075390287479149288609436237089748696652126301417536513985522297095499982120901739372312717716003245039707489922333613274167001275697626395608720108231409516088188940726286673988736747103024787884419488826876861839800326910546688699317050984252224758185713810934415398381380051173007912455114230739195967476504399645331509674638264938293726075351150082889709397907241603589015032216235960393390337941331304798495558442496714515010558781911491466327451764524709174238602208899977169311838261760970090070344859095369922596824981224962779265369963910713298367520426702603864116832432312940621348436885543595238676307179537447882853268763702778207459541276315987219087739026031020341016941056222254358160444855108100007084124661613858735953645666874519898482317720110487927129048861652562139479217858886336916217224545712538258485015156020688250757637719716779923957617175771333356112279260554398586644703944791843599738785584259551490762542141621463527060138951588881066016521976641381041084822622926390570749085478050332817299530215218655724910377731633060143240317335123478065757820707417096580081146636649647314947783571100102643312074244600549285577917850919397225680105347243410215453912127625723511051988965402484001254291077796}
23075  27446212767346088919740505330785531356719023014218206320636836587710920629426: {92284,807205,899301,968646,1153150,1268245,1314021,1383780,1476032,1498705,1521894,1660536,1775389,1798446,1868103,1959505,2142813,2259782,2351406,2536270,2789413,2970741,3043524,3228260,3340945,3571045,3873912,4009134,4195646,4211013,4285254,4358151,4519172,4611800,4676917,4720945,4950805,5188275,5449341,5534160,5665134,5829373,5903104,5940966,5993780,6099505,6225930,6455960,6608749,6640992,6658849,6681310,6788245,6888661,7100324,7192536,7262955,7319406,7441597,7471116,7508901,7573909,7706005,7747152,8017572,8091603,8145894,8646375,8715546,9222800,9247206,9371989,9441070,10143320,10375650,10383213,10819870,10888933,11067360,11141905,11329284,11353297,11382254,11411235,11657734,11805184,11899789,11929022,12135229,12171984,12182341,12270193,12285205,12450780,12513745,12687877,12983844,13280832,13316542,13370286,13415413,13693482,14471013,14480209,14568805,14742246,14838404,14940936,15016494,15435013,16042849,16413973,16808553,16943955,17041460,17076145,17197789,17482566,17643301,17957533,18073552,18385789,18561374,18669205,19262276,19357297,20171375,20332746,20368244,20449752,20491374,20764942,21033229,21197720,21699373,22076305,22403046,22581813,22704622,22756645,22762532,23005971,23164021,23498846,23847435,23855972,24116245,24205650,24362566,24568270,25400181,25437264,25511893,25733006,25819360,26014813,26491566,26579761,26771269,27307974,27717284,28608213,28616922,28684741,28816250,28939494,29046780,29236813,29408061,29481924,29674232,29857894,29991205,30047470,30147793,30290372,30586549,30710014,30983232,31201501,31411556,31539109,32042989,32243605,32361902,33112646,33368305,33383511,33569780,33791781,34079960,34148324,34469336,34579500,34727732,34856136,35340241,35379381,35989446,36056964,36228421,36567813,36884800,37119524,37599974,37633045,37862689,38244670,38339955,38521208,38544213,38651233,38692326,38778003,39213153,39289124,39560389,39596120,39648145,39742275,40041966,40053806,40089469,40095505,40254692,40283736,40732952,40895952,41036989,41061493,41451406,41495400,41695221,41741941,42329905,42391760,42480813,42999445,43271960,43336359,43548164,43695070,44227142,44261760,44292404,44545635,44822029,44981134,45055870,45159654,45319203,45451345,45710084,45824571,45893604,45966795,46007946,46395813,46682325,47005261,47212544,47303780,47453845,47515344,47577774,47690730,48114606,48555133,48633841,48680955,48783320,48787045,49009105,49031248,49072244,49258621,49732486,49794480,50484469,50563573,50784145,50795886,50870112,51019342,51453021,51599334,51670705,51926352,52434084,52856216,53041813,53114112,53297774,53383009,53454762,54067044,54237476,54541614,54701134,54722375,54881235,55160154,55189309,55271941,56018790,56127320,56238884,56314645,56756005,56764536,56788693,56944614,57067717,57228876,57270670,57455473,57518101,57579459,57910772,57912686,58282501,58408935,58417146,58539984,58544454,58624270,58740145,58770008,58778661,58802269,58810926,59078653,59463243,59753376,60940974,61075821,61122769,61754917,62004846,62302864,62817656,63143235,63860103,64015345,64031470,64347927,64475389,64624395,64829806,64849717,64939364,65300120,65644484,65666850,65857482,65987605,66116259,66219524,66784701,66845293,67222548,67284164,67352784,67519345,67542213,67577574,67783364,68107206,68295829,68298861,68530741,68546975,68722273,68724804,68932688,69060973,69192123,69267505,69431989,69449432,70044640,70090722,70099933,70349124,70392529,70422253,70488174,70563621,70669863,70789575,71091517,71702276,71805301,71834533,72034712,72120670,72304189,72503857,73163726,73462635,74061745,74232913,74320941,74432293,74956376,74959395,75365905,75508880,75771882,76001912,76082029,76561489,76604675,76818414,76837764,77331997,77549274,77804677,78130611,78329444,78331693,78360144,78403345,78800220,78801213,78841870,79185126,79535173,79544901,79956688,80502392,80658813,81023214,81039051,81216805,81525310,81563972,81765411,82256370,82371575,82747556,82836494,83045336,83121006,84053568,84248989,84325923,84947490,85502151,85561237,85715569,86199213,86544804,86710789,86727121,87683605,87740128,87770389,87802861,88147006,88155162,88221310,88757905,88874094,89237375,89951274,90260245,90266246,90439086,90565191,90610656,90961581,91220449,91546405,91627789,91925610,91982293,91994727,92338117,92374429,92419581,92770520,93101173,93426003,93481249,94002334,94084014,94212517,94560264,94599320,94600101,94602814,94610244,95173496,95211973,95325213,95374964,95957435,96049461,96062341,96103942,97056536,97286029,97316305,97317469,97339775,97460166,97565470,97578635,97742545,97830372,97924250,98006084,98053984,98172627,98707644,98815501,98845890,99366133,99657741,...,6927875024010478672529046638212032038651399897053238083802613795227054684561812716522126597736970030048514230829319764860702284936546923697374314185355457056120116109367584802659546942643286424733693798767482744402386109998648238075209428367283436160727447595723459881737701635747711355291092999057054747753036259891821401193917975946188554196017703187488971336265100078278016280374644148111321273054445313422586668498316710831279537010211363361815228868995445546960358253829665844407052655506271478666284380191784741628584017076801040171261172218127253169960263924926354298990814923744346387085001039193856436725384709168612789697754919794458045881260964001031776109751623608939063124611705315232078330647060003107256272442786978139412916093045996585622869763055955147876035058013854414073802658941031780625433428954853757577291729268673730795056943787635027787261368999736627961341547188073712871236938684159438004639125480550620548954645245503522537167123292606766728853486027260034590795286068778516347775676316852645655716995597440623618677200234886318545090522253037306685965992421450906142930545578625210409715578224217145114031040812879210361397603993271075871553225491878849732059630784066873429904898891933508778837936550162779068193894058433273684774459066066386736944266285632389403022656520061381308530429038872569149560434088731101228719663730343077449716842411452385531778957788387265434976766014482248167098800515446951271955149113781138386187541928104994052626272155011625922615006297999921372758729255523969864549777421689552417923947561413059203089011848297662639923558464754275264464772317189736136343751201224116312801088548566969057125771559101425127307999362202244767650790024258505235902283042425194493212423924917669287042194455173907698472192498551777569136231958043288399011174093162915482850289839997611965753191426972638091417819843431677187560932332838979128659218900611176843711174948068734205883102257366786011210995630835873170921307052003413984087487015264608180882197863322489140152462894274639332875256411875116807267060103720883441823681298966557522906298532203646050860674857956567581583094711908998689724967073385840075139150817742471152018826959072778571361911476346898413559215725740699831360253723392143231105274470401511745917156487595148762476217767799657649354980416289017165285470159391687650241008047318371542099674203763523323086604002736729721961555508396464973408617491378991857466917651876613085431218723932914154355634623044978189452126304770978283445643249973181352609058469076574004867559561234883500419911250501913546439593413080162347114274132283411089430010983105120654537181826629233240315292759700490365820033048975576476378337137278570716401623097572070076759511868682671346108793951214756599467997264511957397407440589113026725124334564096860862405383522548324353940590085506911996957197743337663745071772515838172867237199491177646787063761357903313349965753967757392641455135105517288643054883895237471837444168898054945866069947551280640053905796175248648469410932022655328315392858014460769306171824279903145554167311189311914473980828631608539046530511525411584333381537240667282662150010626186992420788103930468500311779847723476580165731890693573292478843209218826788329505374325836818568807387727522734031032376136456579575169885936425763657000034168418890831597879967055917187765399608178376389327236143813212432195290590208427383321599024782964962071561627233934389585856123628217075499225949295322827983587365566597449590214860476002685217098636731061125644870121719954974470972421675356650153964968111366900823928366876776379095838520158020865115323180868191438585266577983448103726001881436616694}
23076  27544617005058573129817312595711679774437204057702309358778986213696013535726: {115355,138426,299819,392003,438083,507386,530219,783938,852443,1082363,1199068,1291528,1358003,1452969,1679219,1729725,1752028,1845040,1908419,2029192,2075670,2164538,2214048,2282841,2366219,2397928,2440226,2490804,2594819,2697669,2857084,3135208,3188243,3266426,3389673,3527109,3804405,3960988,4035325,4058032,4552523,4565286,4640546,4842390,5096219,5165216,5189186,5345512,5614684,5648965,5713672,5764750,5810868,6011066,6013701,6135083,6284738,6293469,6427881,6675419,6778758,6917700,6990083,7265788,7378880,7492225,7553512,7650938,7663043,7921288,7923746,7931723,8069950,8155403,8301240,8334203,8497701,8602163,8854656,8875405,8911449,8990670,9003563,9013538,9338895,9590048,9683940,9759208,9804419,9937643,9961488,10011868,10021965,10329536,10336883,10469819,10650486,10690096,10788804,10861192,10979109,11206674,11354219,11486603,11528500,11620728,11727938,11998586,12026358,12218841,12329608,12679150,13073319,13332419,13638683,13834200,13844284,13870809,14161605,14424419,14756480,15105712,15214980,15563475,15772538,15814358,15858203,16041026,16229312,16229805,16247723,16377419,16601040,16993926,17073381,17154083,17240219,17311792,17381306,17486601,17707776,17756363,17827048,17893533,18257976,18442763,18548005,18676170,19294684,19475766,19518266,19596419,19656328,19681643,19921248,19974813,20021992,20055429,20362283,20540223,20574563,20849186,20956163,21083219,21301825,21379403,21717419,22012763,22113369,22257606,22265603,22349819,22411404,22524741,22591940,22706426,22896443,23106323,23310088,23399819,24077845,25347386,25460305,25562190,25964953,26223849,26497150,26519819,26602403,26662466,27014843,27110328,27266336,27321832,27467603,27837323,27842061,28083443,28370219,28453165,28697483,28759106,28893414,29819965,29870728,30109084,30160669,30325538,30499119,30552366,30586106,30674628,30737061,30893123,30933563,31147413,31539203,31796580,32102843,32143043,32274200,32343923,33425219,33545003,33604569,33706057,33866908,33916352,34023419,34056933,34143798,34540403,34646605,35248269,35322088,35491283,35509538,35641333,35728283,35783958,36201419,36243493,36280163,36308475,36319523,36410632,36543849,36796538,36852405,37092790,37379219,37496603,37862965,38144284,38155896,38585992,38599509,38729040,39104066,39210748,39264445,39309232,39737349,40022243,40369283,40484819,40869419,40961961,41310976,41575926,41654306,41903843,41962225,42476003,42599950,42685405,42829501,42902342,42925383,43086670,43160219,43224375,43349819,43409241,43409665,43430906,43570170,44222886,44294819,44511348,44596163,44746643,44786841,45055708,45071205,45435558,45534563,45983219,46065021,46106000,46249189,46399405,46474848,46711586,47117334,47172508,47174003,47211083,47544443,47985928,48075952,48151510,48217538,48393419,48542853,48757084,48834683,49111405,49311419,49495150,49668969,50297243,50318365,50354670,50916190,50964986,51023723,51119940,51222486,51392284,51423757,51589768,51704004,51711266,51869250,52091598,52208066,52215419,52284204,52989700,53112419,53389288,53447546,53711648,53826419,53984169,54085446,54089950,54435205,54515006,54527936,54608123,54714419,54785243,54965449,55138883,55327200,55350683,55365505,55526963,55593628,55679286,55878923,55949219,56399961,56580443,56641084,56653346,56898938,57137605,57367005,57522419,57765683,57781812,58038489,58562219,58933686,58976123,59015680,59102786,59129725,59394180,59423219,59590946,59594819,59697683,60062949,60080709,60212872,60316102,60382038,60425604,60768253,60979150,61099428,61191472,61289060,61335142,61340305,61343928,61570763,61638419,61780538,61861084,62177109,62243100,62984819,63030373,63353792,63386243,63437032,63587640,63753203,64152808,64199738,64550483,64907940,65163386,65244323,65322246,65474819,65542605,65586829,65639219,66070270,66229403,66340713,66392640,66438606,66501673,66719243,66844226,67471701,67562426,67583805,67727848,67739481,67796845,67826816,67984403,68040506,68499923,68565126,68604028,68789003,68799112,68840406,68994938,69011919,69045419,69235136,69912112,69962102,70002419,70159150,70224683,70298605,70319819,70439593,70794419,70818816,70955670,71046803,71267219,71273016,71366661,71370938,71536095,71644163,72089392,72171909,72388465,72480694,72553538,72664669,72722152,72737003,73174980,73295219,73462510,73546872,73608366,73967906,74219819,74598729,74691720,75076283,75686048,75742381,75926152,76138043,76193829,76305168,76349219,76409483,76529013,76772612,77399001,77878580,77889528,78053312,78059272,78232163,78371548,78412538,78414568,78522070,78646283,78651126,78675803,78941123,79284324,79528403,79671168,79946661,80182143,80345219,80490419,80577443,81100566,81126923,81174205,81254632,81356214,81434428,81558683,81625150,81644819,81654266,81812421,81822037,82051701,82055605,82131563,82673128,82740231,82774405,83264546,83276809,83352419,83493419,83915219,84028185,84105205,84190980,84358326,84729205,84753419,84924469,85146804,85416921,85501643,85584419,85667123,85797236,85843314,85859819,85906005,86079563,86165860,86519953,86681219,86691386,86811790,86866158,86869029,87549443,87555800,87576443,87625719,87809976,87816681,87936405,88155012,88216389,88505786,88756523,88791997,89046268,89499419,89505949,89627845,89630064,89631419,89803712,89815883,90043390,90056284,90085826,90103432,90209843,90366923,90809608,91065148,91411461,91440217,91510043,91633072,91664723,91921883,92256164,92280563,92357219,92535803,93007269,93422843,93454296,93695470,93798832,93984232,94084828,94226484,94338938,94386100,94796963,95002390,95364419,95536283,95658803,95683283,96047205,96049523,96389723,96413963,96690373,96704219,96752483,96993638,97244709,97353083,97409046,97659938,97911805,97950180,98466726,98500275,98539283,98540066,98562803,98786223,98844419,98914643,98961419,98979266,99094588,99241403,99329286,99543419,99612923,99636986,99945860,...,10391812536015718008793569957318048057977099845579857125703920692840582026842719074783189896605455045072771346243979647291053427404820385546061471278033185584180174164051377203989320413964929637100540698151224116603579164997972357112814142550925154241091171393585189822606552453621567032936639498585582121629554389837732101790876963919282831294026554781233457004397650117417024420561966222166981909581667970133880002747475066246919305515317045042722843303493168320440537380744498766610578983259407217999426570287677112442876025615201560256891758327190879754940395887389531448486222385616519580627501558790784655088077063752919184546632379691687068821891446001547664164627435413408594686917557972848117495970590004660884408664180467209119374139568994878434304644583932721814052587020781621110703988411547670938150143432280636365937593903010596192585415681452541680892053499604941942012320782110569306855408026239157006958688220825930823431967868255283805750684938910150093280229040890051886192929103167774521663514475278968483575493396160935428015800352329477817635783379555960028948988632176359214395818367937815614573367336325717671046561219318815542096405989906613807329838237818274598089446176100310144857348337900263168256904825244168602290841087649910527161688599099580105416399428448584104533984780092071962795643558308853724340651133096651843079495595514616174575263617178578297668436682580898152465149021723372250648200773170426907932723670671707579281312892157491078939408232517438883922509446999882059138093883285954796824666132534328626885921342119588804633517772446493959885337697131412896697158475784604204515626801836174469201632822850453585688657338652137690961999043303367151476185036387757853853424563637791739818635887376503930563291682760861547708288747827666353704347937064932598516761139744373224275434759996417948629787140458957137126729765147515781341398499258468692988828350916765265566762422103101308824653386050179016816493446253809756381960578005120976131230522896912271323296794983733710228694341411958999312884617812675210900590155581325162735521948449836284359447798305469076291012286934851372374642067863498034587450610078760112708726226613706728028240438609167857042867214520347620338823588611049747040380585088214846657911705602267618875734731392723143714326651699486474032470624433525747928205239087531475361512070977557313149511305645284984629906004105094582942333262594697460112926237068487786200376477814919628146828085899371231533451934567467284178189457156467425168464874959772028913587703614861007301339341852325250629866875752870319659390119620243520671411198425116634145016474657680981805772739943849860472939139550735548730049573463364714567505705917856074602434646358105115139267803024007019163190926822134899201995896767936096111160883669540087686501846145291293608075283822486530910885128260367995435796615006495617607658773757259300855799236766470180595642036854970024948630951636088962182702658275932964582325842856207756166253347082418799104921326920960080858694262872972704116398033982992473089287021691153959257736419854718331250966783967871710971242947412808569795767288117376500072305861000923993225015939280488631182155895702750467669771585214870248597836040359938718264813828240182494258061488755227853211081591284101046548564204684869362754828904638645485500051252628336247396819950583875781648099412267564583990854215719818648292935885312641074982398537174447443107342440850901584378784185442325613248838923942984241975381048349896174385322290714004027825647955096591688467305182579932461706458632513034975230947452167050351235892550315164568643757780237031297672984771302287157877899866975172155589002822154925041}
23077  27643371734336837617830787120074464298201329764027682289890824403364256290830: {184568,207639,761079,1130087,1175907,1498835,1614410,1775543,1798602,1937292,2098187,2190035,2306300,2536490,2628042,2743307,2767560,2952064,2997410,3043788,3113505,3246807,3296579,3321072,3550778,3571355,3596892,3660339,3736206,3919010,4285626,4519564,4677323,4702812,4899639,4951235,4999463,5072540,5578826,5941482,6087048,6456520,6609323,6681890,6847929,6889259,6931127,6960819,7018355,7142090,7263585,7442243,7747824,7783779,8018268,8317079,8391292,8422026,8539307,8570508,8647125,8716302,9016599,9038344,9082235,9223600,9353834,9372803,9427107,9441890,9503543,9901610,10168137,10376550,10788407,10898682,11068320,11075987,11330268,11476407,11658746,11806208,11881932,11885619,11987560,12104925,12136283,12199010,12451860,12514835,12688979,12868739,12911920,13217498,13281984,13317698,13362620,13486005,13520307,13562903,13576490,13777322,14063387,14200648,14385072,14410625,14525910,14638812,14883194,14942232,15017802,15147818,15412010,15494304,15598667,15854579,15975729,16035144,16183206,16183763,16291788,16810011,16825427,17199287,17292750,17305355,17431092,17519243,17591907,17930243,17997879,18039537,18241379,18445600,18463379,18494412,18743978,18882140,19018725,19587467,20286640,20396327,20548823,20692283,20751300,20766426,21222539,21639740,21777866,22134720,22283810,22658568,22706594,22757879,22764508,22822470,23315468,23610368,23658807,23721537,23799578,23858044,23906603,24061539,24118355,24270458,24343968,24364682,24540386,24570410,24690803,24901560,25027490,25375754,25490889,25967688,26017079,26071959,26136887,26189027,26561664,26633084,26740572,26830826,27386964,28014255,28239925,28942026,28960418,29137610,29213649,29277399,29484492,29676808,29881872,30032988,30150419,30662999,30744779,30870026,30906827,31273779,31491107,31859303,32085698,32259179,32827946,33386409,33617106,33762743,33887910,34059639,34082920,34152290,34395578,34965132,35286602,35915066,36147104,36771578,37122748,37338410,37636355,37777499,37865987,37868987,38021079,38343285,38524552,38714594,39745725,39984827,39993699,40342750,40536659,40665492,40736488,40899504,40982748,41529884,41987687,42066458,42317123,42333635,42395440,43138659,43340121,43398746,44152610,44806092,45141047,45163626,45409244,45488307,45513290,45525064,45828549,45879159,46011942,46328042,46715627,46753187,46997692,47680355,47694870,47711944,48232490,48411300,48527219,48725132,49013435,49136540,50800362,50874528,51023786,51215697,51466012,51638720,51987899,52029626,52686263,52983132,53159522,53264307,53542538,53675937,54162323,54615948,55194807,55434568,55507403,55639185,56133707,56319635,56950067,57216426,57233844,57369482,57383339,57632500,57878988,58093560,58473626,58656099,58816122,58963848,58965635,59083799,59261867,59348464,59663363,59715788,59982410,60094940,60199223,60258179,60295586,60580744,60946355,61173098,61420028,61966464,62363889,62403002,62481459,62685779,62823112,63078218,63631883,63899925,64085978,64240355,64353513,64487210,64630005,64723804,65146359,65355255,65720183,66225292,66237125,66334329,66435383,66736610,66767022,67115003,67139560,67583562,68153337,68159920,68296648,68301863,68313683,68612747,68728259,68938672,69159000,69455464,69492035,69712272,70067379,70106039,70676001,70680482,70758762,70801355,70923479,71097803,71978892,72074579,72113928,72227265,72310487,72326307,72338987,72456842,73135626,73256999,73769600,74239048,74239379,74242725,75199948,75266090,75532005,75725378,76198187,76374285,76447479,76489340,76611325,76679910,76833729,77042416,77088426,77302466,77326355,77338763,77384652,77504123,77556006,77566899,77803875,78137397,78312099,78426306,78578248,78674003,78840503,79120778,79192240,79296290,79458407,79484550,80083932,80107612,80171319,80178938,80191010,80509384,80567472,81128169,81134925,81465904,81772509,81791904,82055987,82073978,82122986,82236203,82342427,82902812,82990800,83226299,83390442,83483882,83518929,84418043,84659810,84783520,84961626,84980019,85348407,85568723,85755035,85998890,86429879,86543920,86672718,87096328,87210563,87390140,87412907,88400529,88454284,88523520,88584808,88654179,89091270,89386419,89621483,89644058,89962268,90111740,90319308,90474153,90573057,90638406,90902690,91420168,91468725,91635863,91649142,91787208,91933590,92002713,92015892,92382647,92573819,92670807,92791626,93364650,94010522,94425088,94527083,94607560,94907690,95030688,95155548,95381460,95670227,95965765,96229212,96299607,96974507,97110266,97267682,97348225,97361910,97566640,97574090,97745079,97964435,97983369,98018210,98062496,98144488,98517242,98706263,98995523,99105405,99464972,99566987,99588960,99657909,...,13855750048020957345058093276424064077302799794106476167605227590454109369123625433044253195473940060097028461658639529721404569873093847394748628370710914112240232218735169605319093885286572849467387597534965488804772219997296476150418856734566872321454895191446919763475403271495422710582185998114109495506072519783642802387835951892377108392035406374977942672530200156556032560749288296222642546108890626845173336996633421662559074020422726723630457737990891093920716507659331688814105311012542957332568760383569483257168034153602080342522344436254506339920527849852708597981629847488692774170002078387712873450769418337225579395509839588916091762521928002063552219503247217878126249223410630464156661294120006214512544885573956278825832186091993171245739526111910295752070116027708828147605317882063561250866857909707515154583458537347461590113887575270055574522737999473255922683094376147425742473877368318876009278250961101241097909290491007045074334246585213533457706972054520069181590572137557032695551352633705291311433991194881247237354400469772637090181044506074613371931984842901812285861091157250420819431156448434290228062081625758420722795207986542151743106450983757699464119261568133746859809797783867017557675873100325558136387788116866547369548918132132773473888532571264778806045313040122762617060858077745138299120868177462202457439327460686154899433684822904771063557915576774530869953532028964496334197601030893902543910298227562276772375083856209988105252544310023251845230012595999842745517458511047939729099554843379104835847895122826118406178023696595325279847116929508550528929544634379472272687502402448232625602177097133938114251543118202850254615998724404489535301580048517010471804566084850388986424847849835338574084388910347815396944384997103555138272463916086576798022348186325830965700579679995223931506382853945276182835639686863354375121864665677958257318437801222353687422349896137468411766204514733572022421991261671746341842614104006827968174974030529216361764395726644978280304925788549278665750512823750233614534120207441766883647362597933115045812597064407292101721349715913135163166189423817997379449934146771680150278301635484942304037653918145557142723822952693796827118431451481399662720507446784286462210548940803023491834312975190297524952435535599315298709960832578034330570940318783375300482016094636743084199348407527046646173208005473459443923111016792929946817234982757983714933835303753226170862437447865828308711269246089956378904252609541956566891286499946362705218116938153148009735119122469767000839822501003827092879186826160324694228548264566822178860021966210241309074363653258466480630585519400980731640066097951152952756674274557141432803246195144140153519023737365342692217587902429513198935994529023914794814881178226053450248669128193721724810767045096648707881180171013823993914395486675327490143545031676345734474398982355293574127522715806626699931507935514785282910270211034577286109767790474943674888337796109891732139895102561280107811592350497296938821864045310656630785716028921538612343648559806291108334622378623828947961657263217078093061023050823168666763074481334565324300021252373984841576207860937000623559695446953160331463781387146584957686418437653576659010748651673637137614775455045468062064752272913159150339771872851527314000068336837781663195759934111834375530799216356752778654472287626424864390581180416854766643198049565929924143123254467868779171712247256434150998451898590645655967174731133194899180429720952005370434197273462122251289740243439909948941944843350713300307929936222733801647856733753552758191677040316041730230646361736382877170533155966896207452003762873233388}
23078  27742478195322029275817864595911647550957127020525431538809577449137094008428: {161497,230710,276852,438121,599638,784006,852517,876166,1014772,1060438,1404037,1541737,1567876,1704886,2164726,2398136,2421615,2583056,2697903,2716006,2882875,2905938,3358438,3459450,3504056,3598597,3690080,3804735,3816838,3942063,4058384,4151340,4329076,4428096,4496115,4565682,4732438,4795856,4880452,4981608,5189638,5326167,5395338,5604309,5649455,5714168,5878515,6180697,6270416,6340675,6376486,6428439,6532852,6779346,7054218,7608810,7663717,7908551,7921976,8070650,8116064,8368239,8602921,8912223,9105046,9130572,9271621,9281092,9684780,9938521,10022835,10192438,10330432,10337797,10378372,10489115,10691024,10713135,11229368,11297930,11427344,11529500,11621736,12022132,12027402,12270166,12324457,12425567,12569476,12586938,12633039,12855762,12983077,13074453,13350838,13557516,13835400,13980166,14030751,14162835,14164057,14531576,14757760,14852415,14984450,15107024,15301876,15326086,15564825,15842576,15847492,15859621,15863446,16139900,16310806,16348023,16602480,16668406,16703275,16995402,17204326,17488119,17543017,17709312,17750810,17822898,17981340,18007126,18027076,18298515,18677790,19180096,19367880,19518416,19608838,19826247,19875286,19922976,19976547,20023736,20043930,20109097,20364121,20364735,20659072,20665983,20673766,20939638,21300972,21380192,21381337,21577608,21722384,21788865,21958218,22324791,22413348,22526703,22708438,22721727,22898521,22973206,23057000,23118015,23150377,23241456,23455876,23602675,23904217,23997172,24052716,24274809,24437682,24530437,24659216,25358300,25939125,25967207,26146638,26664838,27017317,27049675,27277366,27668400,27688568,27741618,27880921,28115967,28127017,28323210,28455635,28740997,28848838,28863577,29144335,29512960,29822555,30211424,30429960,30936421,31126950,31149639,31545076,31628716,31716406,32082052,32146021,32458624,32459610,32495446,32666799,32754838,33202080,33291355,33348421,33425715,33708983,33946921,33987852,34059891,34146762,34233705,34305157,34308166,34480438,34623584,34762612,34973202,35415552,35512726,35644427,35654096,35699367,35787066,36322921,36405687,36515952,36547023,36810579,36855615,36885526,37096010,37352340,37500121,37541235,38063631,38319877,38589368,38903257,38951532,39036532,39192838,39312656,39363286,39600937,39834431,39842496,39949626,40043984,40110858,40246239,40724566,41080446,41149126,41698372,41747951,41912326,42166438,42365737,42480037,42603650,42758806,42833219,43413039,43434838,43440627,43706415,44025526,44226738,44515212,44531206,44638057,44699638,44822808,45049482,45183880,45412852,45538921,45792886,46212646,46305039,46323397,46403435,46620176,46799638,47215621,47391223,48128547,48155690,48505247,48655657,49096297,49241919,50302117,50425659,50616683,50694772,50831865,50847337,50920610,51124380,51228435,51593367,51912355,51929906,52447698,52472197,52929903,52994300,53008151,53039638,53204806,53324932,53872599,54029686,54080857,54220656,54507097,54532672,54643664,54826021,54935206,54970223,55157367,55356121,55567657,55674646,55684122,56007615,56166886,56621017,56740438,56761555,56906330,57394966,57518212,57786828,58071891,58747115,58809637,59639930,59737897,59741456,59759567,60218168,60321338,60514125,60651076,60773531,60906415,60998238,61068421,61104732,61172212,61349256,61373737,61420675,61474122,61786246,61867126,62294826,63078406,63099687,63392617,63593160,63892837,64205686,64286086,64332515,64548400,64590121,64687846,64959167,65098119,65283877,65580121,66228915,66268837,66758617,66850438,67090006,67209138,67412114,67733816,67745439,67832704,68023621,68046838,68113866,68269935,68287596,68755967,69017913,69080806,69276457,69293210,69492063,69659497,70231897,70445711,70496538,70612057,70644176,70706917,70982566,71019076,71282666,71456566,71542305,71557417,71567916,71651557,72040625,72348735,72402838,72486986,72560326,72616950,72639046,72775621,72821264,73087698,73593076,73704810,73981657,74185580,74644735,74758438,74993206,75118675,75725930,76200543,76209287,76288568,76311792,76535679,76718377,76775035,77171984,77199018,77458080,77511707,77794921,78044439,78208132,78421496,78528890,78618464,78684121,79474698,79566121,79739283,79992647,80044486,80313807,80738566,80801743,80904755,80969638,81738838,81923922,82621952,82766917,82781615,83151852,83308612,83807686,83924450,84456037,84952006,84957157,85199900,85289797,85370810,85538521,85659002,85703977,85804684,85824639,85850766,85876427,86054223,86173340,86320438,86448750,86699638,86818482,86819330,86861812,87140340,87586021,87710439,88224183,88445772,88552837,88589638,89022696,89191621,89192326,89493286,89513723,89573682,89746777,89825797,89973615,90111416,90142410,90443379,90871116,91069126,91448159,91700677,91759647,91777897,91932121,91966438,92130042,92212000,92498378,92546137,92798810,92927557,92949696,93307177,93423172,93604503,93999935,94234668,94345016,94348006,94422166,94617327,94915583,95088886,95611675,95694121,95971856,96128967,96151904,96303020,96424921,96435076,96698771,96730815,96786838,97004377,97085706,97507621,97514168,97650757,97669366,98222810,98418047,98432857,98574121,98622838,98926021,98990300,99039127,99066277,99337938,99485317,99970921,...,20783625072031436017587139914636096115954199691159714251407841385681164053685438149566379793210910090145542692487959294582106854809640771092122942556066371168360348328102754407978640827929859274201081396302448233207158329995944714225628285101850308482182342787170379645213104907243134065873278997171164243259108779675464203581753927838565662588053109562466914008795300234834048841123932444333963819163335940267760005494950132493838611030634090085445686606986336640881074761488997533221157966518814435998853140575354224885752051230403120513783516654381759509880791774779062896972444771233039161255003117581569310176154127505838369093264759383374137643782892003095328329254870826817189373835115945696234991941180009321768817328360934418238748279137989756868609289167865443628105174041563242221407976823095341876300286864561272731875187806021192385170831362905083361784106999209883884024641564221138613710816052478314013917376441651861646863935736510567611501369877820300186560458081780103772385858206335549043327028950557936967150986792321870856031600704658955635271566759111920057897977264352718428791636735875631229146734672651435342093122438637631084192811979813227614659676475636549196178892352200620289714696675800526336513809650488337204581682175299821054323377198199160210832798856897168209067969560184143925591287116617707448681302266193303686158991191029232349150527234357156595336873365161796304930298043446744501296401546340853815865447341343415158562625784314982157878816465034877767845018893999764118276187766571909593649332265068657253771842684239177609267035544892987919770675394262825793394316951569208409031253603672348938403265645700907171377314677304275381923998086606734302952370072775515707706849127275583479637271774753007861126583365521723095416577495655332707408695874129865197033522279488746448550869519992835897259574280917914274253459530295031562682796998516937385977656701833530531133524844206202617649306772100358033632986892507619512763921156010241952262461045793824542646593589967467420457388682823917998625769235625350421801180311162650325471043896899672568718895596610938152582024573869702744749284135726996069174901220157520225417452453227413456056480877218335714085734429040695240677647177222099494080761170176429693315823411204535237751469462785446287428653303398972948064941248867051495856410478175062950723024141955114626299022611290569969259812008210189165884666525189394920225852474136975572400752955629839256293656171798742463066903869134934568356378914312934850336929749919544057827175407229722014602678683704650501259733751505740639318780239240487041342822396850233268290032949315361963611545479887699720945878279101471097460099146926729429135011411835712149204869292716210230278535606048014038326381853644269798403991793535872192222321767339080175373003692290582587216150567644973061821770256520735990871593230012991235215317547514518601711598473532940361191284073709940049897261903272177924365405316551865929164651685712415512332506694164837598209842653841920161717388525745945408232796067965984946178574043382307918515472839709436662501933567935743421942485894825617139591534576234753000144611722001847986450031878560977262364311791405500935339543170429740497195672080719877436529627656480364988516122977510455706422163182568202093097128409369738725509657809277290971000102505256672494793639901167751563296198824535129167981708431439637296585871770625282149964797074348894886214684881701803168757568370884651226497677847885968483950762096699792348770644581428008055651295910193183376934610365159864923412917265026069950461894904334100702471785100630329137287515560474062595345969542604574315755799733950344311178005644309850082}
23079  27841937632514345721077036360542708624346379490924969105510760439646441955151: {346065,369136,415278,899457,1176009,1268465,1314249,1522158,1590657,1959845,2098369,2260174,2351814,2557329,2789897,2997670,3066049,3228820,3247089,3551086,3597204,3874584,3895957,4074009,4196374,4358907,4380070,4612600,4999897,5037657,5072980,5189175,5256084,5411345,5486614,5535120,5725257,5904128,5994820,6087576,6100565,6227010,6493614,6593158,6642144,6848523,6931729,7098657,7101556,7142710,7193784,7320678,7349441,7472412,7784457,7838020,8093007,8166065,8317801,8571252,9008249,9039128,9354646,9405624,9564729,9799278,9825697,9902470,9998926,10145080,10169019,10385177,10581327,11076949,11157652,11413215,11601365,11882964,11901857,12105975,12174096,12715129,12913040,12972965,13218646,13363780,13564081,13657569,13695858,13778518,13862254,13921638,14036710,14284180,14411875,14527170,14884486,15027665,15288657,15359009,15495648,15567558,15711845,16036536,16045637,16634158,16782584,16844052,16946895,17078614,17141016,17294250,17432604,17520769,18033198,18041103,18076688,18164470,18405249,18447200,18707668,18745606,18804889,18854214,18880407,18883780,19007086,19127345,19283643,19360661,19803220,19809365,20026257,20174875,20336274,20753100,20970249,21576814,21797364,21820357,22119337,22136640,22151974,22476675,22533845,22660536,22952814,22989129,23072009,23317492,23612416,23763864,23771238,23795169,23975120,24209850,24227497,24272566,24398020,24466209,24903720,25002609,25029670,25377958,25493103,25737478,25806489,25823840,26393617,26434996,26563968,26626215,26635396,26725240,26734347,26972010,27010689,27025097,27040614,27125806,27152980,27554644,28016685,28040657,28126774,28401296,28770144,28821250,29051820,29270089,29277624,29319845,29413257,29766388,29812929,29884464,29996465,30035604,30065895,30295636,30747457,30824020,30988608,31010649,31197334,31353089,31409457,31697875,31709158,31951458,32070288,32366412,32367526,32583576,32937327,33052217,33620022,33650854,33765697,34062657,34398574,34459809,34585500,34610710,34758149,34862184,35038486,35183814,35860486,35995758,36079074,36482758,36656523,36891200,36926758,36988824,37487956,37764280,38037450,39174934,39219957,39424037,39431345,39535895,39997257,40102565,40573280,40792654,40916049,41097646,41384566,41502600,41532852,41612427,42069137,42320809,42445078,42484815,42514057,43273257,43279480,43453265,43555732,43855457,44269440,44567620,45317136,45413188,45515758,45529016,45644940,46630936,46690425,47220736,47317614,47443074,47574609,47599156,47716088,47813206,48064577,48123078,48236710,48540916,48687936,48689415,48729364,48743169,48795665,49080772,49132257,49140820,49381606,49561457,49803120,50054980,50751508,50981778,51220143,51462249,51720657,51935376,52034158,52122965,52143918,52273774,52378054,52459803,52690897,53123328,53266168,53269089,53481144,53661652,53680599,54773928,55328289,55644015,56028510,56479850,56766065,57884052,57920836,58275220,58427298,58554798,58789257,58968984,59044929,59262341,59267089,59353616,59628857,59763744,59924439,60065976,60166287,60300838,60534361,61086849,61325998,61489558,61620669,61723689,61740052,61813654,62547558,62868489,62982214,62997737,63249657,63368465,63704129,63718606,63905475,64138209,64171396,64486697,64518358,64531157,65152257,65655892,66038289,66242875,66340107,66656165,66752497,66772818,66796809,67049457,67120849,67234212,67525486,67574223,67775820,68119278,68165840,68304580,68618809,68689329,68791156,69318969,69930264,70199457,70434617,70573204,71192129,71830132,71897765,72080857,72233535,72294208,73543156,74245496,74262137,74676820,75164549,75272710,75554998,75731974,75737974,75813845,76042158,76380915,76465265,76620857,76686570,77049104,77429188,77894859,78502289,78671547,78847489,79332737,79491450,79559457,79807209,79927241,79969654,79987398,80685500,81044529,81073318,81330984,81472976,81799008,81965496,82402809,82551889,83059768,83511969,83526183,83818657,83975374,84132916,84250329,84634246,84667270,84790880,85110657,85324897,85359495,86092449,86277318,86437441,86680242,86726057,86797492,88305220,88773845,89459895,89612184,89677841,89936497,90239977,90282094,90327252,90482007,90818488,90976614,91026580,91050128,91497357,91657098,91758318,91991345,92023884,92211183,92656084,92679369,92731975,92800689,93431254,93442239,93506374,93995384,94184609,94617609,94982117,95360710,95389740,95423888,95970569,96308529,96429129,96464980,96822600,97031769,97043441,97054438,97288849,97334537,97450264,97760165,98026870,98273080,98955221,99121897,...,31175437608047154026380709871954144173931299536739571377111762078521746080528157224349569689816365135218314038731938941873160282214461156638184413834099556752540522492154131611967961241894788911301622094453672349810737494993917071338442427652775462723273514180755569467819657360864701098809918495756746364888663169513196305372630891757848493882079664343700371013192950352251073261685898666500945728745003910401640008242425198740757916545951135128168529910479504961321612142233496299831736949778221653998279710863031337328628076845604680770675274981572639264821187662168594345458667156849558741882504676372353965264231191258757553639897139075061206465674338004642992493882306240225784060752673918544352487911770013982653225992541401627358122418706984635302913933751798165442157761062344863332111965234643012814450430296841909097812781709031788577756247044357625042676160498814825826036962346331707920566224078717471020876064662477792470295903604765851417252054816730450279840687122670155658578787309503323564990543425836905450726480188482806284047401056988433452907350138667880086846965896529077643187455103813446843720102008977153013139683657956446626289217969719841421989514713454823794268338528300930434572045013700789504770714475732505806872523262949731581485065797298740316249198285345752313601954340276215888386930674926561173021953399289955529238486786543848523725790851535734893005310047742694457395447065170116751944602319511280723798171012015122737843938676472473236818224697552316651767528340999646177414281649857864390473998397602985880657764026358766413900553317339481879656013091394238690091475427353812613546880405508523407604898468551360757065972015956413072885997129910101454428555109163273561560273690913375219455907662129511791689875048282584643124866243482999061113043811194797795550283419233119672826304279989253845889361421376871411380189295442547344024195497775406078966485052750295796700287266309303926473960158150537050449480338761429269145881734015362928393691568690736813969890384951201130686083024235876997938653853438025632701770466743975488206565845349508853078343394916407228873036860804554117123926203590494103762351830236280338126178679841120184084721315827503571128601643561042861016470765833149241121141755264644539973735116806802856627204194178169431142979955098459422097411873300577243784615717262594426084536212932671939448533916935854953889718012315283748826999787784092380338778711205463358601129433444758884440484257698113694600355803702401852534568371469402275505394624879316086740763110844583021904018025556975751889600627258610958978170358860730562014233595275349902435049423973042945417318219831549581418817418652206646190148720390094143702517117753568223807303939074315345417803409072021057489572780466404697605987690303808288333482651008620263059505538435873880824225851467459592732655384781103986307389845019486852822976321271777902567397710299410541786926110564910074845892854908266886548107974827798893746977528568623268498760041247256397314763980762880242576082788618918112349194101948977419267861065073461877773209259564154993752900351903615132913728842238425709387301864352129500216917583002771979675047817841465893546467687108251403009314755644610745793508121079816154794441484720547482774184466265683559633244773852303139645692614054608088264486713915936456500153757885008742190459851751627344944298236802693751972562647159455944878807655937923224947195611523342329322027322552704753136352556326976839746516771828952725926143145049688523155966872142012083476943865289775065401915547739797385119375897539104925692842356501151053707677650945493705931273340711093893018954313906861473633699600925516466767008466464775123}
23080  27941751294788256099569636134779928853232169404244198626931653461131929501670: {322994,392071,461420,530311,553704,622917,876242,944599,1199276,1220431,1358239,1568012,1705034,1752332,2029544,2120876,2283237,2458111,2808074,3083474,3135752,3143191,3390261,3409772,3527721,3962911,4036025,4099279,4329452,4496505,4796272,4843230,5166112,5187631,5326629,5395806,5432012,5765750,5811876,6000871,6136159,6294561,6341225,6570105,6676591,6716876,6918900,7008112,7081159,7197194,7380160,7493525,7609470,7633676,7884126,7909237,8022631,8116768,8156839,8229921,8302680,8658152,8692951,8826799,8856192,8876945,8992230,9094279,9131364,9340515,9464876,9591712,9740421,9760904,9797525,9889737,9963216,10028191,10379276,10427359,10560271,10652334,10714065,10790676,10981017,11208618,11298910,11428336,11488639,11757030,12361394,12540832,12681350,12752972,12808759,12856878,13065704,13466119,13558692,13947065,14031969,14108436,14514151,14684761,14698917,14853705,14998389,15217620,15297151,15327434,15817102,15843952,16141300,16232128,16704725,16736478,17205842,17243311,17759551,17824446,17855225,18017239,18210092,18261144,18274639,18543242,18562184,19369560,19685191,19827969,19877042,20045670,20384876,20543787,20660864,20667777,20675594,20756744,20793381,20882457,20959951,20978230,21055065,21382048,21426270,21467839,21790755,22326729,22353871,22458736,22595860,22854688,23059000,23110519,23243472,23351337,23384585,23604725,24044264,24054804,24240631,24540332,24648914,24754025,24851134,24951237,25138952,25173876,25240279,25266078,25617921,25711524,25941375,25966154,25986991,26148906,26607271,26701676,26854879,27049797,27115032,27246705,27472639,27670800,27842431,27960332,28061502,28118409,28281321,28325670,28328114,28457311,28510629,29063152,29146865,29515520,29681671,29704830,29968900,30214048,30497525,30504411,30603752,30652172,31020151,31129650,31685152,31694984,31719242,31726892,31988119,32229391,32279800,32365221,32590759,32621612,32696046,32831311,33043745,33204960,33227961,33294245,33336812,33406550,33551239,33941225,33990804,34408652,34429221,34443305,34626271,34976238,35086034,35418624,35501620,35645796,35656857,35962680,36014252,36054152,36286951,36314775,36408849,36597030,36994351,37207985,37355580,37544505,37869545,38066937,38360192,38518159,38530025,38606217,38735760,39036832,39217676,39652494,39750572,39837889,39845952,39953094,40029799,40047472,40087860,40218194,40261279,40458015,40560921,40688709,40728242,40729470,40802069,40838719,41318144,41331966,41347532,41644111,41751577,41758879,41879276,42190161,42601944,42760384,42762674,43155216,43231875,43358071,43444768,43471759,43577730,43916436,44039119,44649582,44826696,44830399,45053406,45416876,45443454,45797042,45946412,46066711,46114000,46236030,46300754,46482912,46607897,46796001,46859945,46911752,47205350,47294311,47395337,47563737,47808434,47927187,47960239,47994344,48105432,48402751,48549618,48551289,48875364,49060874,49318432,49613719,49942471,50379799,50430033,50476281,50621077,50716600,51597861,51878250,51916065,51934414,52009519,52293276,52557729,52775721,52966661,53329676,53790729,53993637,54034634,54099350,54118611,54444665,54554732,54724137,54795991,55220359,55336800,55377136,55390137,55483236,55709525,55761842,55960231,56007809,56231934,56254034,56646420,56766485,56911270,57056175,57115759,57481994,57697676,57727154,57846559,58158679,58288670,58470151,58573831,58762401,59025920,59498945,59503711,59606671,59645110,60422848,60676145,60859920,60911705,61188981,61350965,61426025,61646469,61650751,61752199,61872842,62076849,62253900,62258359,62299278,62568725,63064471,63090152,63257432,63432812,63439385,63465799,63667617,64164104,64292042,64917248,64919220,64964809,64990892,65333598,65509676,65751079,66404160,66439039,66582710,66696842,66851430,67077065,67417966,67893842,67975704,68119782,68273637,68293524,68467410,68610314,68616332,68960876,68963431,69155599,69247168,69525224,69946404,70397671,70492711,70831104,70976421,71025452,71061439,71164611,71288854,71308192,71344831,71398734,71574132,71719809,71721679,72184617,72355065,72401045,72645842,72658759,72677297,72811374,72844025,72938479,73031904,73094046,73588639,73621158,73711230,73771052,74072409,74192020,74704680,75000242,75061471,75082470,75152911,76127262,76335079,76425511,76472667,76639754,77056519,77175065,77178736,77505079,77806514,77903064,78051237,78073064,78215877,78307951,78385676,78410661,78567081,78625312,78726572,79201874,79457359,79466177,79668862,79684992,79896199,79899252,80087968,80214245,80221716,80492478,80507551,80808761,81288391,81449132,81461119,82069865,82160892,82245961,82298252,82320439,83087671,83396744,83495902,83511391,83824652,84042765,84332876,84719775,84731474,84960074,85207300,85268981,85380725,85517612,85520191,85666438,85988945,86098279,86374277,86826078,86869676,86881254,87081079,87412830,87640947,87649591,87832197,88051052,88216505,88453476,88935799,89030424,89062412,89276114,89399276,89492719,89571991,89645616,89787665,90065521,90098964,90367760,90439231,90451257,90674239,90825704,90908599,91077842,91585772,91685119,91928945,91988997,92234337,92425292,92607439,92610078,92646794,92720481,92806870,92836399,93240352,93346025,93599276,93821337,93896311,94196551,94431242,94473321,94644751,94782446,94867879,95459719,95492969,95577909,96257094,96311380,96338839,96484351,96702079,96774511,96777537,96786485,97010494,97311314,97780999,98192594,98483838,98984191,99047729,...,41567250144062872035174279829272192231908399382319428502815682771362328107370876299132759586421820180291085384975918589164213709619281542184245885112132742336720696656205508815957281655859718548402162792604896466414316659991889428451256570203700616964364685574340759290426209814486268131746557994342328486518217559350928407163507855677131325176106219124933828017590600469668097682247864888667927638326671880535520010989900264987677222061268180170891373213972673281762149522977995066442315933037628871997706281150708449771504102460806241027567033308763519019761583549558125793944889542466078322510006235163138620352308255011676738186529518766748275287565784006190656658509741653634378747670231891392469983882360018643537634656721868836477496558275979513737218578335730887256210348083126484442815953646190683752600573729122545463750375612042384770341662725810166723568213998419767768049283128442277227421632104956628027834752883303723293727871473021135223002739755640600373120916163560207544771716412671098086654057901115873934301973584643741712063201409317911270543133518223840115795954528705436857583273471751262458293469345302870684186244877275262168385623959626455229319352951273098392357784704401240579429393351601052673027619300976674409163364350599642108646754396398320421665597713794336418135939120368287851182574233235414897362604532386607372317982382058464698301054468714313190673746730323592609860596086893489002592803092681707631730894682686830317125251568629964315757632930069755535690037787999528236552375533143819187298664530137314507543685368478355218534071089785975839541350788525651586788633903138416818062507207344697876806531291401814342754629354608550763847996173213468605904740145551031415413698254551166959274543549506015722253166731043446190833154991310665414817391748259730394067044558977492897101739039985671794519148561835828548506919060590063125365593997033874771955313403667061062267049688412405235298613544200716067265973785015239025527842312020483904524922091587649085293187179934934840914777365647835997251538471250700843602360622325300650942087793799345137437791193221876305164049147739405489498568271453992138349802440315040450834904906454826912112961754436671428171468858081390481355294354444198988161522340352859386631646822409070475502938925570892574857306606797945896129882497734102991712820956350125901446048283910229252598045222581139938519624016420378331769333050378789840451704948273951144801505911259678512587312343597484926133807738269869136712757828625869700673859499839088115654350814459444029205357367409301002519467503011481278637560478480974082685644793700466536580065898630723927223090959775399441891756558202942194920198293853458858270022823671424298409738585432420460557071212096028076652763707288539596807983587071744384444643534678160350746007384581165174432301135289946123643540513041471981743186460025982470430635095029037203423196947065880722382568147419880099794523806544355848730810633103731858329303371424831024665013388329675196419685307683840323434777051491890816465592135931969892357148086764615837030945679418873325003867135871486843884971789651234279183069152469506000289223444003695972900063757121954524728623582811001870679086340859480994391344161439754873059255312960729977032245955020911412844326365136404186194256818739477451019315618554581942000205010513344989587279802335503126592397649070258335963416862879274593171743541250564299929594148697789772429369763403606337515136741769302452995355695771936967901524193399584697541289162856016111302591820386366753869220730319729846825834530052139900923789808668201404943570201260658274575031120948125190691939085209148631511599467900688622356011288619700164}
23081  28041920435407774685898678522632153718591598714149012757184733285814500231627: {23081,484491,576775,692130,738272,830556,1314363,1499095,1775851,1798914,1960015,2190415,2352018,2536930,2557551,2628498,2651095,2743783,2790139,3044316,3181314,3297151,3919690,4196738,4212111,4262215,4310911,4520348,4625211,4703628,5114658,5411815,5579794,5995340,6132098,6457640,6494178,6790015,7102172,7194408,7264845,7350079,7575883,7749168,7791914,7856299,8093709,8148018,8392748,8396095,8540791,8648625,8685703,8717814,8760140,9009031,9225200,9542095,9999794,10068043,10075314,10145960,10378350,10386079,10512168,10795791,10822690,10891771,10973228,11070240,11414205,11432491,11450514,11808256,11826189,11831095,11989640,12175152,12201130,12273391,12454020,12974095,12987228,13186316,13284288,13418911,13488345,13697046,13863458,14065831,14197314,14203112,14285420,14387568,14483983,14641356,14698882,14934139,14944824,15360343,15568914,15676040,15941215,15978501,16186014,16241911,16332130,16418251,16635602,16812927,16828351,16948365,16953211,17142504,17635545,17933359,18016498,18078256,18162151,18390583,18542091,18709292,18811248,19022025,19129458,19285317,19590871,19598556,19651394,19804940,19997852,20176625,20290160,20338038,20695879,20732911,20770354,21038731,21162654,21705031,21996583,22153898,22315304,22762615,22826430,22991151,23202730,23725653,23765928,23803714,23854111,24211950,24348192,24512191,24874891,25104717,25430258,25481095,25786363,25808763,25826080,25945930,26437292,26727560,26736669,26778283,27027451,27128162,27315138,27360079,27391716,27530239,27557036,27724508,27733111,27752551,27814863,27843276,28073420,28244825,28568360,28823750,29054340,29768972,29815563,30055330,30068505,30577314,30675415,30718018,30991296,31013391,31135116,31423690,31467345,31547383,31938751,32051371,32073072,32091274,32139405,33268316,33377095,33515371,33565168,33688104,33893790,34157228,34282032,34588500,34865208,34895551,34950415,35041538,36066396,36082206,36153376,36328940,36810498,36894400,36973371,37276701,37415336,37461125,37491212,37567519,37609778,37708428,37760814,37767560,37899117,38014172,38254690,38315215,38567286,38721322,38847343,38949231,39061711,39223359,39341023,39427471,39606440,39618730,39658615,40052514,40204711,40349750,40672548,40777015,41047783,41072251,41506200,41671015,41940498,41995051,42092253,42488505,42492171,43010815,43153628,43594728,43640714,44062159,44238674,44273280,44303948,44307511,44377025,44557245,44953350,45017815,45067690,45321072,45905628,45978258,46144018,46634984,46694475,47224832,47527728,47542476,47578863,47590338,47950240,48419700,48454994,48545132,48567871,48796040,48932418,49022095,49044069,49520983,49688215,49718071,49807440,50005218,50059340,50064619,50109825,50755916,50986206,51225991,51474956,51612978,51647680,51684415,52349095,52464357,52629051,52631143,52787234,52869992,53055739,53127936,53252430,53270792,53450480,53468694,53944020,54021378,54050194,54081228,54251612,54305960,54895545,55109288,55203883,55350253,56033370,56081314,56143591,56253548,56771095,56802592,56803591,57433015,57540288,57642500,58103640,58540178,58555248,58572631,58639690,58826514,59267503,59478741,59532776,59625858,59768928,59929641,59992930,60071208,60131790,60327291,60350071,60591272,60834571,61092363,61094205,61138783,61494914,61648040,61977216,61997949,62021298,62394668,62706178,62818914,63106831,63349399,63395750,63418316,63458671,63902916,64140576,64144011,64732824,64735052,65167152,65366595,65863591,65874654,65980651,66104434,66662095,66974373,67240044,67301708,67531394,67580109,68125314,68165181,68193415,68313931,68695563,68797148,68919618,69171000,69221420,69354045,69451131,69516298,69724368,70076972,70367628,70513231,70808025,70935931,71712651,71720972,71991516,72122095,72158148,72224071,72522823,72824427,72965516,72972151,73313046,73410271,73591311,73782400,73853516,73977648,74370679,74451871,74975912,75039751,75528560,76074900,76101931,76211551,76627531,77817375,77901621,78349868,78439914,78779191,78848074,78862690,79071790,79291015,79472491,79556011,79934203,79994514,80205130,80348311,81051951,81146560,81149025,81238615,81534511,81585308,81832098,81887095,81973711,82195292,82636639,82695511,82769132,82792699,82998859,83005200,83065704,83224854,83240911,83642763,84138274,84347901,84381051,84641618,84890156,84969630,85028114,85366905,85737991,85770415,86201095,86222991,86546514,86558960,86590731,86906530,87076879,87111464,87225919,87433005,87710914,88210111,88538880,88715851,88781815,89135240,89467665,90634272,90807583,90826376,91031516,91058032,91244311,91289880,92213815,92740025,92809263,93125791,93261872,93318631,93380850,93448917,93756871,94441472,94598779,94635228,94886148,95149218,95198312,95236951,95432176,95626412,96129154,96246156,96438063,96473420,96862951,97081832,97375872,97378830,97458728,97486338,97591330,97982095,98000397,98161544,98264514,98281640,98408215,98763212,99122914,99606240,99615391,99643783,99874065,99992959,...,62350875216094308052761419743908288347862599073479142754223524157043492161056314448699139379632730270436628077463877883746320564428922313276368827668199113505081044984308263223935922483789577822603244188907344699621474989987834142676884855305550925446547028361511138935639314721729402197619836991513492729777326339026392610745261783515696987764159328687400742026385900704502146523371797333001891457490007820803280016484850397481515833091902270256337059820959009922643224284466992599663473899556443307996559421726062674657256153691209361541350549963145278529642375324337188690917334313699117483765009352744707930528462382517515107279794278150122412931348676009285984987764612480451568121505347837088704975823540027965306451985082803254716244837413969270605827867503596330884315522124689726664223930469286025628900860593683818195625563418063577155512494088715250085352320997629651652073924692663415841132448157434942041752129324955584940591807209531702834504109633460900559681374245340311317157574619006647129981086851673810901452960376965612568094802113976866905814700277335760173693931793058155286374910207626893687440204017954306026279367315912893252578435939439682843979029426909647588536677056601860869144090027401579009541428951465011613745046525899463162970131594597480632498396570691504627203908680552431776773861349853122346043906798579911058476973573087697047451581703071469786010620095485388914790894130340233503889204639022561447596342024030245475687877352944946473636449395104633303535056681999292354828563299715728780947996795205971761315528052717532827801106634678963759312026182788477380182950854707625227093760811017046815209796937102721514131944031912826145771994259820202908857110218326547123120547381826750438911815324259023583379750096565169286249732486965998122226087622389595591100566838466239345652608559978507691778722842753742822760378590885094688048390995550812157932970105500591593400574532618607852947920316301074100898960677522858538291763468030725856787383137381473627939780769902402261372166048471753995877307706876051265403540933487950976413131690699017706156686789832814457746073721609108234247852407180988207524703660472560676252357359682240368169442631655007142257203287122085722032941531666298482242283510529289079947470233613605713254408388356338862285959910196918844194823746601154487569231434525188852169072425865343878897067833871709907779436024630567497653999575568184760677557422410926717202258866889517768880968515396227389200711607404803705069136742938804551010789249758632173481526221689166043808036051113951503779201254517221917956340717721461124028467190550699804870098847946085890834636439663099162837634837304413292380297440780188287405034235507136447614607878148630690835606818144042114979145560932809395211975380607616576666965302017240526119011076871747761648451702934919185465310769562207972614779690038973705645952642543555805134795420598821083573852221129820149691785709816533773096215949655597787493955057137246536997520082494512794629527961525760485152165577237836224698388203897954838535722130146923755546418519128309987505800703807230265827457684476851418774603728704259000433835166005543959350095635682931787092935374216502806018629511289221491587016242159632309588882969441094965548368932531367119266489547704606279291385228109216176528973427831872913000307515770017484380919703503254689888596473605387503945125294318911889757615311875846449894391223046684658644054645105409506272705112653953679493033543657905451852286290099377046311933744284024166953887730579550130803831095479594770238751795078209851385684713002302107415355301890987411862546681422187786037908627813722947267399201851032933534016932929550246}
23082  28142446312041787461791054107053487536423775307506044944768617162787436567769: {253781,438197,530357,645988,668537,784142,922840,944681,990677,1038195,1060622,1107408,1220537,1245834,1404281,1633781,1752484,1817237,1889198,2046377,2398552,2440862,2504057,2698371,2716478,3136024,3189077,3410068,3504664,3528027,3805395,3942747,4059088,4145081,4241752,4566474,4771971,4825781,4916222,5097557,5233337,5616148,5650435,5879535,6166948,6181781,6271504,6286382,6295107,6780522,6819544,7055442,7126697,7494175,7530581,7671987,7925822,8072050,8198558,8369691,8470457,8658904,8693717,8877715,8993010,9198147,9592544,9686460,9741267,9762581,9940277,10029077,10332224,10375262,10428281,10472597,10490935,10653258,10791612,10864024,10950175,11489657,11531500,11623752,11687871,12001742,12194681,12222027,12272318,12427723,12589122,12682450,12853781,13076721,13140210,13353182,13433752,13467317,13511081,13716535,13773497,13837800,14016224,14162318,14384681,14394388,14760320,14987050,14999691,15081257,15112971,15218940,15267352,15472181,15567525,15689081,15768252,15818474,16045262,16233536,16234035,16313678,16381817,16459842,16482895,16511477,16605360,17175771,17316304,17385902,17653598,17712384,17753890,17856775,17984460,18018857,18061781,18188558,18262728,18301695,18319157,18681030,18929752,18961337,19183424,19480842,19521808,19525891,19595050,19779474,19926432,20056382,20197781,20545569,20580137,20758552,20795187,20854718,21088937,21120542,21295971,21304668,21428130,21469781,21581352,21892181,21962034,22048323,22271657,22417236,22482197,22597820,22734581,22856672,22977278,23154581,23353371,23386615,23514060,23531897,23992181,24279021,24498195,24722788,24756175,24953403,24997315,25081664,25284137,25362700,25505944,25617518,25657781,25713756,26131408,26279081,26733557,26898581,26932238,27024747,27117384,27886037,27894130,27968117,28063938,28216872,28694187,29028302,29369522,29397834,29477091,29707410,29969081,29996778,30334517,30435240,30507057,30537257,30594302,30654868,31023017,31155531,31634204,31687904,31743981,31789781,31991081,32031317,32232377,32282600,32464256,32738419,32834357,33046615,33230847,33409450,33434537,33472956,33554357,33953237,34032917,34239645,34391081,34411684,34446295,34486622,34655635,34804095,35091775,35519102,35619797,35648892,35705571,35710450,36034478,36317925,36329717,36420184,36522288,36549278,37086484,37124368,37154681,37211215,37507157,38145387,38739120,38918895,39370382,39492281,39655938,39685781,39754084,40033577,40091340,40496297,40692243,40769752,40805611,40881017,40972707,41087574,41321728,41335554,41351188,41513488,41585395,41586762,41764914,41919902,41956460,42030377,42110130,42696535,42764096,42852540,42935678,43235625,43362197,43475897,43581510,43703081,44043317,44653458,44707742,44872277,44917472,45060137,45082995,45191720,45210281,45411175,45547637,45709376,45865971,45996437,46077027,46118000,46221038,46261243,46486944,46611943,46702674,46769170,46864015,47135535,47209450,47298857,47517715,47669177,47964857,48001781,48088528,48109608,48136911,48220627,48407417,48481262,48517877,48738581,49080664,49297828,49435577,49508050,49702268,49902474,50277904,50347752,50384681,50480558,50532156,50840685,51235842,51423048,51882750,51932308,51973982,52014581,52091179,52158677,52297812,52338617,52562307,52971259,53017363,53214542,53403352,53709758,53942035,54099594,54123309,54230064,54493410,54517781,54730517,54836777,54907577,54945278,55215747,55261097,55341600,55379935,55543337,55684862,55754681,55895417,55920664,56012671,56123004,56236818,56414667,56562642,56641221,56651340,56656228,56914622,57021258,57365417,57382035,57678581,57850929,58081983,58126304,58293730,58683257,59031040,59200277,59363342,59409660,59428095,59440937,59715497,59937800,60078771,60428096,60433781,60524625,60570197,60681415,60995050,61008822,61207504,61284281,61304344,61758377,62040302,62096057,62259300,62264597,62298281,62574175,62596963,62910747,63003797,63104297,63370304,63389968,63438484,63444895,63453784,63472181,63972281,63976238,64105337,64343695,64458782,64559600,64730442,65181518,65243224,65392092,65461071,65593397,65603923,65659157,65662622,65757737,65790581,65987477,66087490,66191047,66358011,66409920,66455922,66478457,66588490,66673624,66813100,67102478,67430025,67601535,67814515,67882450,67981608,68520917,68713781,68817304,68858442,68886610,68967387,69002537,69162677,69194681,69216027,69252542,69833081,69952476,70023977,70172068,70316935,70341497,70837248,71003240,71068757,71291592,71313714,71385507,71572181,71729081,71854457,71925360,72028504,72053125,72108304,72573902,72629550,72682491,72817698,73163177,73194060,73398627,73627157,73781417,73988702,74058581,74242997,74415970,74711160,75007827,75089010,75099797,75465077,75739090,76133874,76222531,76343081,76373237,76479309,76523897,76720384,77036318,77060050,77094581,77212434,77419467,77423657,77471520,77993335,78073664,78435352,79180851,79272895,79304988,79473079,79501144,79675778,79691904,79878645,79906188,79933877,80059598,80094944,80175720,80203041,80436388,80522558,80603177,80916030,80918815,81032067,81075291,81121842,81325877,81377418,81456484,81458940,81604138,81670997,81677438,82072181,82500281,82636288,82663932,82695064,83288222,83298523,83503154,83517758,83758552,84050055,84121971,84127135,84380322,84474281,84946603,85203888,85276387,85308281,85520768,85525348,85557077,85612277,85695017,85891351,85996435,86310432,86381779,86436437,86463750,86526775,86716142,86791337,86889536,86943518,87155460,87596215,87659177,87810267,87832872,87928697,87959535,88078238,88170581,88239771,88705781,88815139,89299164,89438787,89529017,89651215,89653392,89660798,89766581,89989395,90106812,90197685,90318377,90684281,90710357,90833752,90886908,90918677,91206895,91594084,91721081,91892824,92133422,92228000,92242371,92316895,92388137,92472060,92601508,92617781,92719637,92965824,93031947,93215794,93378581,93592002,93719890,93823504,93907891,94059267,94228371,94410700,94588622,94655417,94790674,95093625,95127474,95470517,95501263,95616868,95642297,95854374,95920478,95988688,96210864,96495317,96713081,96737237,96805502,97074581,97099236,97102578,97458197,97577657,97750728,97792181,97937335,98121748,98361077,98502581,98636864,98811981,98948777,98995577,99156651,99227438,99554681,99647417,99884942,...,93526312824141462079142129615862432521793898610218714131335286235565238241584471673048709069449095405654942116195816825619480846643383469914553241502298670257621567476462394835903883725684366733904866283361017049432212484981751214015327282958326388169820542542266708403458972082594103296429755487270239094665989508539588916117892675273545481646238993031101113039578851056753219785057695999502837186235011731204920024727275596222273749637853405384505589731438514883964836426700488899495210849334664961994839132589094011985884230536814042312025824944717917794463562986505783036376001470548676225647514029117061895792693573776272660919691417225183619397023014013928977481646918720677352182258021755633057463735310041947959677977624204882074367256120953905908741801255394496326473283187034589996335895703929038443351290890525727293438345127095365733268741133072875128028481496444477478110887038995123761698672236152413062628193987433377410887710814297554251756164450191350839522061368010466975736361928509970694971630277510716352179440565448418852142203170965300358722050416003640260540897689587232929562365311440340531160306026931459039419050973869339878867653909159524265968544140364471382805015584902791303716135041102368514312143427197517420617569788849194744455197391896220948747594856037256940805863020828647665160792024779683519065860197869866587715460359631545571177372554607204679015930143228083372186341195510350255833806958533842171394513036045368213531816029417419710454674092656949955302585022998938532242844949573593171421995192808957641973292079076299241701659952018445638968039274182716070274426282061437840640641216525570222814695405654082271197916047869239218657991389730304363285665327489820684680821072740125658367722986388535375069625144847753929374598730448997183339131433584393386650850257699359018478912839967761537668084264130614234140567886327642032072586493326218236899455158250887390100861798927911779421880474451611151348441016284287807437645202046088785181074706072210441909671154853603392058249072707630993815961560314076898105311400231926464619697536048526559235030184749221686619110582413662351371778610771482311287055490708841014378536039523360552254163947482510713385804930683128583049412297499447723363425265793933619921205350420408569881612582534508293428939865295378266292235619901731731353847151787783278253608638798015818345601750807564861669154036945851246480999363352277141016336133616390075803388300334276653321452773094341083801067411107205557603705114408206826516183874637948260222289332533749065712054076670927255668801881775832876934511076582191686042700785826049707305148271919128836251954659494648744256452255956619938570446161170282431107551353260704671421911817222946036253410227216063172468718341399214092817963070911424865000447953025860789178516615307621642472677554402378778197966154343311958922169535058460558468928963815333707702193130898231625360778331694730224537678564724800659644323924483396681240932585705869805496280123741769191944291942288640727728248365856754337047582305846932257803583195220385633319627778692464981258701055710845398741186526715277128161905593056388500650752749008315939025143453524397680639403061324754209027944266933832237380524363239448464383324454161642448322553398797050678899734321556909418937077842163824264793460141747809369500461273655026226571379555254882034832894710408081255917687941478367834636422967813769674841586834570026987966081967658114259409057668980930519239550315486858177778429435149065569467900616426036250430831595869325196205746643219392155358127692617314777078527069503453161123032952836481117793820022133281679056862941720584420901098802776549400301025399394325369}
23083  28243330186779431855631617831779488943644658610236876326049093895304680805708: {46162,807485,968982,1153550,1176213,1384260,1476544,1590933,1661112,1868751,2098733,2190605,2628726,2744021,2833797,2998190,3066581,3297437,3551702,3597828,3661293,3711533,3896633,3920030,4074717,4262585,4380830,4704036,4818077,5073860,5094713,5115102,5256996,5302190,5487566,5580278,5967101,6088632,6362628,6594302,6849711,7020185,7374333,7576541,7708685,7839380,7856981,8393476,8424222,8524430,8621822,8686457,9040696,9250422,9284717,9407256,9429573,9506021,10068917,10170783,10229316,10583163,10823630,10892717,11159588,11754533,11888733,11990680,12108075,12264196,12274457,12297837,12872093,12915280,12988356,13358933,13489515,13580030,14204344,14388816,14414375,14485241,14529690,14700158,15151766,15440381,15498336,15562893,15583828,15712598,15858713,15979887,16187418,16187981,16296036,16419677,16563533,16785496,16792190,17081582,17297250,17371406,17435628,17520280,17649437,17992985,18002613,18018062,18163733,18408477,18450400,18808157,18883683,19023675,19084190,19710315,19980917,19999588,20029773,20035613,20136086,20150628,20291920,20554181,20756700,20772158,21024336,21243477,21591582,21645380,21783542,21946456,22123181,22140480,22317701,22480575,22763813,22828410,22864982,22901028,23172077,23616512,23652378,23662190,23727711,23979280,24067893,24350304,24402260,24470517,24546782,24689763,24697241,24908040,25948190,25974456,26078853,26372632,26480397,26568576,26630835,26660477,26837822,26976690,27282837,27394092,27532637,27726916,28021545,28131662,28247275,28394628,28406224,28534313,28570840,28694717,28775136,28967966,28968953,29221263,29246981,29282712,29392575,29397764,29669211,29868278,29889648,30084573,30720686,30903485,31017557,31137828,31282077,31352080,31680813,31703375,31867661,31882430,31941533,31957002,32142195,32372028,32483822,32535737,32664260,32836502,32943051,33271204,33625854,33656702,33896730,33906422,34285008,34465917,35271090,35432213,35673533,35866718,36032996,36156512,36324302,36597773,36781166,37084182,37418584,37622496,37878893,38044050,38071781,38258916,38318585,38426277,38570634,39181742,39197112,39302788,39542755,39609880,39995704,40208213,40353250,40398357,40580320,40674617,40676076,41391758,41465822,41540708,41841195,42054197,42077462,42095907,42325308,42945581,43014605,43410062,43542453,43993166,44054283,44065997,44096751,44307796,44397977,44561115,44630608,44934677,44995167,45089273,45525230,45652860,45891453,45982302,46358105,46405460,46468853,46727933,47451306,47531856,47607428,47708222,48423900,48539933,48696384,48930581,49024382,49692605,49749782,50114175,50209434,50860516,50962190,51230453,51572726,51617526,51652160,51688985,51729933,51891860,52445575,52874584,53060381,53278653,53455120,53473338,53556566,53565675,53641301,54051717,54054902,54256324,54630276,54720158,54783432,54823917,55060478,55114072,55346981,55449016,55466222,55505102,55522061,55629726,55686552,56146840,56260877,56489650,57087821,57136720,57398393,57647500,58108680,58339421,59055573,59167277,59483907,59537944,59631126,60110660,60137010,60215141,61154628,61350830,61436036,61622285,61631361,61982592,62003331,62026782,62050073,62127835,62270232,62380143,62647371,62702237,62847380,62879853,62934690,63024941,63094766,63165195,63354917,63877502,64102742,64146144,64182548,64278810,64403517,64915385,65372265,66185213,66536632,66754190,66980187,67030742,67061613,67130336,67376208,67787580,68314456,68331581,68564064,68630933,69177000,69331557,69563501,69730416,69791102,69900830,70054011,70083076,70153755,70519373,70814175,70820285,70924397,72132792,72164412,72306752,72358181,72657880,72721893,73278437,73288733,73620996,73788800,73946742,74262075,74377157,74553402,74830672,74853711,74922250,74982424,75135038,75219556,75416856,75521628,75535120,75720837,75798234,76028344,76509380,76630430,76853763,77134572,77442644,77524397,77694686,77824125,77898462,77960973,77977133,77998517,78123422,78446718,78682046,78786053,78854942,79212880,79237460,79298105,79317230,79479533,79821813,80105028,80406221,80409422,80564637,80699500,81149391,81345096,81541613,81554030,81740115,82095566,82144502,82417917,82643837,82799981,83012400,83342030,83516375,83527293,83833373,83867957,83880996,83990102,84184506,84355227,84843963,84977010,84984342,85371933,85437881,85531887,86021630,86307256,86757593,87189456,87281428,87435773,87440595,87715085,88124318,88477348,88546560,88607896,88615022,88754050,89045013,89114490,89906700,90035630,90135380,90642144,91492575,91513233,91617677,91811256,91956516,92288036,92504921,93060453,93082181,93133997,93269968,93326933,93388950,94449664,95055456,95084952,95157726,95180676,95470781,95695253,95900480,95964357,96688173,96839400,96909988,97090264,97095663,97135742,97592080,97772277,97845917,97864836,98044190,98088138,98493933,99041966,99131235,99376430,99436142,99614880,99683883,99882735,...,124701750432188616105522839487816576695725198146958285508447048314086984322112628897398278759265460540873256154927755767492641128857844626552737655336398227010162089968616526447871844967579155645206488377814689399242949979975668285353769710611101850893094056723022277871278629443458804395239673983026985459554652678052785221490523567031393975528318657374801484052771801409004293046743594666003782914980015641606560032969700794963031666183804540512674119641918019845286448568933985199326947799112886615993118843452125349314512307382418723082701099926290557059284750648674377381834668627398234967530018705489415861056924765035030214559588556300244825862697352018571969975529224960903136243010695674177409951647080055930612903970165606509432489674827938541211655735007192661768631044249379453328447860938572051257801721187367636391251126836127154311024988177430500170704641995259303304147849385326831682264896314869884083504258649911169881183614419063405669008219266921801119362748490680622634315149238013294259962173703347621802905920753931225136189604227953733811629400554671520347387863586116310572749820415253787374880408035908612052558734631825786505156871878879365687958058853819295177073354113203721738288180054803158019082857902930023227490093051798926325940263189194961264996793141383009254407817361104863553547722699706244692087813597159822116953947146175394094903163406142939572021240190970777829581788260680467007778409278045122895192684048060490951375754705889892947272898790209266607070113363998584709657126599431457561895993590411943522631056105435065655602213269357927518624052365576954760365901709415250454187521622034093630419593874205443028263888063825652291543988519640405817714220436653094246241094763653500877823630648518047166759500193130338572499464973931996244452175244779191182201133676932478691305217119957015383557445685507485645520757181770189376096781991101624315865940211001183186801149065237215705895840632602148201797921355045717076583526936061451713574766274762947255879561539804804522744332096943507991754615413752102530807081866975901952826263381398035412313373579665628915492147443218216468495704814361976415049407320945121352504714719364480736338885263310014284514406574244171444065883063332596964484567021058578159894940467227211426508816776712677724571919820393837688389647493202308975138462869050377704338144851730687757794135667743419815558872049261134995307999151136369521355114844821853434404517733779035537761937030792454778401423214809607410138273485877609102021578499517264346963052443378332087616072102227903007558402509034443835912681435442922248056934381101399609740197695892171781669272879326198325675269674608826584760594881560376574810068471014272895229215756297261381671213636288084229958291121865618790423950761215233153333930604034481052238022153743495523296903405869838370930621539124415945229559380077947411291905285087111610269590841197642167147704442259640299383571419633067546192431899311195574987910114274493073995040164989025589259055923051520970304331154475672449396776407795909677071444260293847511092837038256619975011601407614460531654915368953702837549207457408518000867670332011087918700191271365863574185870748433005612037259022578442983174032484319264619177765938882189931096737865062734238532979095409212558582770456218432353057946855663745826000615031540034968761839407006509379777192947210775007890250588637823779515230623751692899788782446093369317288109290210819012545410225307907358986067087315810903704572580198754092623867488568048333907775461159100261607662190959189540477503590156419702771369426004604214830710603781974823725093362844375572075817255627445894534798403702065867068033865859100492}
23084  28344573326145529826222556718174822129635048532636371160756981934725026591802: {69243,299923,507562,714643,876394,990763,1060714,1291976,1337074,1453473,1542139,1568284,1679803,1730325,1845680,1889362,1981354,2076390,2121244,2214816,2441074,2491668,2808562,3267562,3504968,3634474,3736123,3778396,3943089,4092754,4497285,4797104,4881724,5008114,5098003,5327553,5396742,5432956,5880045,6272048,6317539,6342325,6378154,6571245,6820136,6992539,7009328,7056054,7610790,7672653,7885494,7910609,7953285,8118176,8231349,8290162,8337139,8370417,8483504,9132948,9543942,9651562,9799225,9807883,9832444,9891453,10195114,10466674,10473523,10491845,11232296,11300870,11759070,12195763,12333896,12363562,12428801,12543008,12572764,12590214,12636333,12786645,12932733,13512283,13561044,13639088,13875633,13949485,14110884,14167843,14253394,14429563,14687309,14988350,15061162,15330245,15343974,15851644,16144100,16235445,16397116,16739382,16940914,17317808,17387434,17755430,17986020,18063403,18396294,19185088,19203149,19372920,19479785,19482534,19525162,19880554,20058154,20370045,20664448,20750524,20751739,20856562,20945194,20981870,21306516,21583224,21728048,21794535,21894163,21900350,22050237,22526323,22727649,22778683,22979314,23063000,23076053,23247504,23375742,23568897,23910739,24003484,24036163,24281127,24389362,24444054,24544636,24662203,24855446,24999485,25178244,25188285,25364900,25622373,25707562,25945875,26057109,26153442,26280420,26529523,26706364,26867504,26934634,27022162,27027093,27056725,27433070,27546994,27675600,28032448,28257739,28324636,28626285,28769362,28788776,28871539,29520640,29974100,29999382,30162514,30204129,30225942,30437880,30502825,30534704,30823603,30944362,31135050,31158237,31378162,31536504,31636948,31792723,32034283,32090524,32387373,32467072,32468070,32627356,32675313,32741261,32763634,32919684,32965790,33022954,33210720,33717139,34242615,34297473,34314739,34351542,34632608,34658645,34771804,34996241,35307196,35424768,35478567,35493285,35507780,35713550,35968920,36037714,36123562,36214963,36377116,36525456,36603390,36638314,36747205,36820173,37362060,37859504,37922674,38330683,38366848,38922285,38961684,39043616,39051782,39190100,39558948,39728203,39852864,40112764,40256733,40395562,40465035,40830325,41091138,41160274,41517104,41589005,41590374,41709436,42177874,42197493,42241084,42492139,42591942,42609336,42856260,42939562,43162704,43176643,43451949,43745083,43784362,43924068,44096646,44543314,44763739,44802417,44834472,44964394,45041245,45195640,45469162,45713344,45954556,46081029,46265261,46309162,46706742,46773230,47028120,47063794,47823645,47935503,47984362,48006403,48224813,48517889,48558042,48559363,48725733,48996390,49128485,49220539,49254753,49445576,49512350,49906806,49994630,50163328,50438781,50485053,50568274,50725400,50845095,50859633,50971003,51011888,51235036,51315562,51427512,51839323,51925885,52095701,52262816,52379683,52558162,52906635,53467114,53797162,53800077,53864476,54049494,54234768,54486453,54629539,55171749,55384745,55584043,55626273,55772074,55788260,55936234,56127876,56433744,56742739,57066075,57388374,57684283,57855951,58006825,58056604,58219553,58739044,58772613,58795668,58954182,59414820,59509285,59755723,59775149,59938162,59993556,60529875,60669034,60870480,60882739,61014114,61074514,61188604,61290403,61309736,62046034,62087637,62198733,62304523,62311062,62602397,63116193,63268408,63375808,63487962,63575645,63579562,63912139,63982162,64062634,64117537,64464754,64565200,64808323,64864825,64928512,65115093,65402539,65476838,65609621,65668714,65797243,65989749,66093230,66196793,66461694,66524801,66818900,66869074,66945912,67108714,67820405,67906474,68065834,68287845,68479290,68782162,68823368,68892590,68973244,68973453,69201763,69311270,69608190,69872083,70183550,70253539,70348723,70728739,70823563,71038204,71176959,71239594,71297784,71411142,71420900,71562333,71673739,72059375,72068956,72635850,72659434,72840368,73044576,73098556,73240981,73536573,73978229,74004739,74097043,74172968,74248736,74309362,74422430,74465539,74624673,75014314,75138325,75314151,75472963,75518849,76290774,76381243,76443285,76795045,77359089,77426289,77478240,77531909,77837790,77998003,78559225,78740764,78984562,79311876,79371562,79508168,80067154,80182680,80210007,80228185,80334849,80727739,80992594,81082353,81161539,81384486,81539504,81611222,81762034,81945414,82080237,82175148,82537603,82590717,82643456,82671108,82702376,82878739,83026976,83170790,83173524,83199333,83257653,83444589,83529828,83839804,83912920,84060754,84220260,84483403,84567139,84734475,84901363,84953981,85068043,85393070,85528192,85705080,85731883,85814539,85871356,86471250,86724394,86951794,87163020,87406162,87533683,87603845,88086634,88180243,88582003,88822853,89141443,89306916,89415484,89446689,89744554,89776483,89834944,89855539,90081173,90120274,90165990,90205515,90249739,90383440,90420562,90720403,90822350,91095274,91418752,91731942,91808539,91885723,91992874,92026245,92154054,92236000,92442076,92522486,92973888,93040173,93223886,93405348,93414283,93538340,93728030,94024445,94271070,94402035,94418900,94541803,94597714,94642149,94839739,94940321,95035430,95338354,95636725,95816253,95929714,96003562,96154113,96177056,96219216,96273822,96418215,96441254,96748243,96803305,96814834,96962524,97035754,97477162,98161328,98395963,98443709,98537443,98595656,98871154,98889883,99016100,99046825,99100483,99404536,99589363,99804948,...,187052625648282924158284259231724865043587797220437428262670572471130476483168943346097418138898190811309884232391633651238961693286766939829106483004597340515243134952924789671807767451368733467809732566722034098864424969963502428030654565916652776339641085084533416806917944165188206592859510974540478189331979017079177832235785350547090963292477986062202226079157702113506439570115391999005674372470023462409840049454551192444547499275706810769011179462877029767929672853400977798990421698669329923989678265178188023971768461073628084624051649889435835588927125973011566072752002941097352451295028058234123791585387147552545321839382834450367238794046028027857954963293837441354704364516043511266114927470620083895919355955248409764148734512241907811817483602510788992652946566374069179992671791407858076886702581781051454586876690254190731466537482266145750256056962992888954956221774077990247523397344472304826125256387974866754821775421628595108503512328900382701679044122736020933951472723857019941389943260555021432704358881130896837704284406341930600717444100832007280521081795379174465859124730622880681062320612053862918078838101947738679757735307818319048531937088280728942765610031169805582607432270082204737028624286854395034841235139577698389488910394783792441897495189712074513881611726041657295330321584049559367038131720395739733175430920719263091142354745109214409358031860286456166744372682391020700511667613917067684342789026072090736427063632058834839420909348185313899910605170045997877064485689899147186342843990385617915283946584158152598483403319904036891277936078548365432140548852564122875681281282433051140445629390811308164542395832095738478437315982779460608726571330654979641369361642145480251316735445972777070750139250289695507858749197460897994366678262867168786773301700515398718036957825679935523075336168528261228468281135772655284064145172986652436473798910316501774780201723597855823558843760948903222302696882032568575614875290404092177570362149412144420883819342309707206784116498145415261987631923120628153796210622800463852929239395072097053118470060369498443373238221164827324702743557221542964622574110981417682028757072079046721104508327894965021426771609861366257166098824594998895446726850531587867239842410700840817139763225165069016586857879730590756532584471239803463462707694303575566556507217277596031636691203501615129723338308073891702492961998726704554282032672267232780151606776600668553306642905546188682167602134822214411115207410228816413653032367749275896520444578665067498131424108153341854511337603763551665753869022153164383372085401571652099414610296543838257672503909318989297488512904511913239877140892322340564862215102706521409342843823634445892072506820454432126344937436682798428185635926141822849730000895906051721578357033230615243284945355108804757556395932308686623917844339070116921116937857927630667415404386261796463250721556663389460449075357129449601319288647848966793362481865171411739610992560247483538383888583884577281455456496731713508674095164611693864515607166390440771266639255557384929962517402111421690797482373053430554256323811186112777001301505498016631878050286907048795361278806122649508418055888533867664474761048726478896928766648908323284896645106797594101357799468643113818837874155684327648529586920283495618739000922547310052453142759110509764069665789420816162511835375882956735669272845935627539349683173669140053975932163935316228518818115337961861038479100630973716355556858870298131138935801232852072500861663191738650392411493286438784310716255385234629554157054139006906322246065905672962235587640044266563358113725883441168841802197605553098800602050798788650738}
23085  28446177001116074474568396980848946433218426791486688303183739430904600606409: {92324,761343,1130479,1314591,1591071,1614970,1937964,1960355,2005611,2307100,2352426,2651555,2768520,2790623,2834043,2953088,2972031,3066847,3114585,3181866,3322224,3661611,3737502,3896971,4197466,4212843,4311659,4381210,4722995,4901343,5257452,5451711,5488042,5667594,5694091,5967619,5996380,6102155,6133162,6139131,6594874,6791195,7103404,7195656,7322586,7423066,7512171,7793266,7840060,8095113,8149434,8525170,8761660,9285523,9408072,9567231,9636154,9828259,10147720,10189426,10230204,10513992,10584081,10604380,10792159,10975132,11160556,11358227,11416185,11828241,11904959,11934202,12177264,12187631,12290555,12435243,12725256,12873211,13188604,13421243,13699422,14040370,14315913,14477343,14748666,15153082,15292671,15417370,15678760,15700011,15713962,15715955,16049819,16189387,16786952,16848444,16951305,17048860,17243644,17372914,17638605,17965343,18081392,18247723,18393779,18500844,18545343,18569434,18814512,18859146,18885321,19012042,19365707,19814555,20137834,20180125,20341566,20458632,20496395,21166326,21380091,21647260,21708803,21785434,22319176,22482525,22591743,23015961,23509066,23613811,23777466,23981360,24216150,24528392,24548914,24595674,25109073,25190179,25411371,25523003,25744186,25830560,25938155,25976712,26081151,26400499,26633145,26717866,26979030,27160060,27594441,28408688,28540523,28777632,28828750,28970482,29059380,29223801,29287743,29400316,29820831,30004355,30087231,30303532,30673663,30680795,30880762,30996672,31125786,31167656,31215071,31284843,31417791,31425196,31472805,31502059,31706125,31717426,31891291,31959774,32374836,32375962,32538571,32592072,32839354,32850525,33060863,33127066,33382955,33570992,33584380,34163164,34468971,34566059,34594500,34742812,34871256,35040560,35063613,35298874,35355611,35405795,35985970,36005226,36036124,36327466,36584043,36666081,36816954,36900800,37283169,37467625,37616314,37767366,38047350,38168380,38561343,38668043,39230163,39420630,39546185,39961834,39999176,40059546,40071226,40113155,40272172,40301256,40401951,40533243,40583840,40784195,41108362,41149605,41320491,41513400,41544316,41766059,42048672,42080159,42486954,43154043,43183164,43264879,43290760,43464755,43479763,43567084,43580603,43892912,44133995,44246362,44280960,44384725,44635402,44938591,44961150,44993923,44999073,45243771,45338913,45471395,45527626,45656820,45729964,45802056,46344154,46416543,46702575,47025731,47067243,47233024,47304756,47324380,47455422,47958560,48135786,48700608,48702105,48804520,48941034,48987625,49093564,49145451,49379526,49394482,49448685,49534431,49574459,49816080,50140955,51080699,51527313,51896380,51948912,52136795,52157706,52745264,52801355,52960794,53137152,53261670,53320954,53338403,53570325,53646019,53675644,53953380,54056571,54185343,54565674,54788184,54905085,54957471,55065274,55296011,55359857,55453832,56043090,56263324,56494550,56789256,56812448,56884011,57068626,57141680,57389434,57443195,57550272,57935932,57937906,58442526,58493962,58565424,58577673,58785150,58795528,59338422,59736556,59779296,60169146,60220447,60593343,61441372,61636707,61740411,61806970,62035114,62275656,62385561,62564154,62704160,62707723,63266811,63361626,63406750,63735322,63764860,63883066,63887913,63914004,64043795,64284390,64409343,64503659,64744056,64901347,64967644,65015939,65071474,65328520,65673004,65676543,65886102,65992223,66144969,66542408,66814971,66874403,67251708,67313404,67330595,67446591,67793460,67812844,68203743,68570016,68931834,69463743,69569647,69735325,70060113,70159845,70542180,70595691,70864426,71347066,71733436,71836571,71976543,72065992,72313024,72364579,72570755,72648604,72837063,73195546,73423805,73494585,73562332,74168364,74268525,74281619,74837168,74860209,74991945,75184211,75244992,75757786,75852411,76088100,76143562,76485755,76517832,76594979,76637170,76852554,76973343,77141268,78005311,78136283,78363484,78394224,78605576,78837243,79085510,79219760,79991408,80200671,80416426,80695743,80706500,80796714,81074241,81160640,81349234,81352152,82783516,82931644,83081416,83523625,83658111,83682390,83904351,84108394,84154924,84191814,84650616,85445323,85891162,86029210,86082561,86216555,86271199,86402243,86748959,86820124,86978969,87084906,87986332,88108566,88131994,88193502,88225643,88431273,88615592,88795954,88797755,89122230,89261216,89276125,89869354,89907243,89990334,90086195,90178546,90881539,91003551,91050460,91305720,91373195,91521171,91611771,91782906,91964604,92716210,92810920,92937706,93069051,93455866,93466593,94902612,95006963,95063712,95214856,95231943,95369343,95416444,95597183,95973243,96093951,96697131,96847800,97079866,97360139,97392768,97854523,97861162,98048764,98215257,98425955,98503071,98981147,99139845,99148399,99385210,99499564,99661259,99692541,...,280578938472424386237426388847587297565381695830656142394005858706695714724753415019146127208347286216964826348587450476858442539930150409743659724506896010772864702429387184507711651177053100201714598850083051148296637454945253642045981848874979164509461627626800125210376916247782309889289266461810717283997968525618766748353678025820636444938716979093303339118736553170259659355173087998508511558705035193614760074181826788666821248913560216153516769194315544651894509280101466698485632548003994885984517397767282035957652691610442126936077474834153753383390688959517349109128004411646028676942542087351185687378080721328817982759074251675550858191069042041786932444940756162032056546774065266899172391205930125843879033932872614646223101768362861717726225403766183488979419849561103769989007687111787115330053872671577181880315035381286097199806223399218625384085444489333432434332661116985371285096016708457239187884581962300132232663132442892662755268493350574052518566184104031400927209085785529912084914890832532149056538321696345256556426609512895901076166151248010920781622693068761698788687095934321021593480918080794377118257152921608019636602961727478572797905632421093414148415046754708373911148405123307105542936430281592552261852709366547584233365592175688662846242784568111770822417589062485942995482376074339050557197580593609599763146381078894636713532117663821614037047790429684250116559023586531050767501420875601526514183539108136104640595448088252259131364022277970849865907755068996815596728534848720779514265985578426872925919876237228897725104979856055336916904117822548148210823278846184313521921923649576710668444086216962246813593748143607717655973974169190913089856995982469462054042463218220376975103168959165606125208875434543261788123796191346991550017394300753180159952550773098077055436738519903284613004252792391842702421703658982926096217759479978654710698365474752662170302585396783735338265641423354833454045323048852863422312935606138266355543224118216631325729013464560810176174747218122892981447884680942230694315934200695779393859092608145579677705090554247665059857331747240987054115335832314446933861166472126523043135608118570081656762491842447532140157414792049385749148236892498343170090275797381800859763616051261225709644837747603524880286819595886134798876706859705195194061541455363349834760825916394047455036805252422694585007462110837553739442998090056831423049008400849170227410164901002829959964358319283023251403202233321616672811115343224620479548551623913844780666867997601247197136162230012781767006405645327498630803533229746575058128102357478149121915444815757386508755863978483946232769356767869859815711338483510847293322654059782114014265735451668838108760230681648189517406155024197642278453889212734274595001343859077582367535549845922864927418032663207136334593898463029935876766508605175381675406786891446001123106579392694694876082334995084190673613035694174401978932971773450190043722797757117609416488840371225307575832875826865922183184745097570263011142746917540796773410749585661156899958883336077394943776103167132536196223559580145831384485716779169165501952258247024947817075430360573193041918209183974262627083832800801496712141573089718345393149973362484927344967660196391152036699202964670728256811233526491472794380380425243428108501383820965078679714138665764646104498684131224243767753063824435103503909268903441309024524760503710080963898245902974342778227173006942791557718650946460574533335288305447196708403701849278108751292494787607975588617239929658176466074383077851944331235581208510359483369098858509443353381460066399845037170588825161753262703296408329648200903076198182976107}
23086  28548142487133770368116116453140476079545133003003141734672759198783822754594: {115405,138486,530449,599846,668653,1015124,1082833,1358593,1429286,1752788,1909249,1981526,2121428,2422455,2583952,2595949,2674148,2883875,2906946,3084278,3136568,3359606,3417613,3460650,3528639,3691360,3778724,3962708,4100353,4152780,4242488,4429632,4772799,4882148,4983336,5188993,5324749,5606253,5617124,6137773,6296199,6535124,6571815,7009936,7217773,7268948,7472246,7495475,7556792,7886178,7890433,8158993,8185508,8232063,8501391,8829133,8879255,8994570,9199743,9594208,9763448,9800075,9892311,10016228,10030849,10164013,10196006,10563073,10655106,10793484,10865912,10952075,10983879,11134599,11689899,11760090,12224151,12544096,12635078,12684650,12756308,12787755,13142490,13255475,13640272,13718915,13863373,13950695,13985078,14018656,14112108,14454231,14648749,14688583,15170893,15221580,15284139,15345306,15770988,15821218,15906570,16081873,16236352,16462698,16485755,16580324,16600849,16674278,16740834,16967008,17901303,18022093,18265896,18408193,18665233,19050253,19087884,19303124,19529279,19598450,19615766,19664888,19782906,20390228,20549133,20583853,20933348,20947046,20983690,21060555,21092749,21311075,21462343,21554555,21600493,22122999,22359949,22464592,22486273,22601740,22729623,23116813,23126055,23518140,23570943,24372493,24391526,24667792,24727124,24857602,25086016,25145528,25180428,25272666,25573290,25865466,26059371,26118349,26738449,27024566,27059075,27122088,27271699,27278176,27751266,27854151,27898970,27973249,28221768,28288719,28335686,28506788,28518063,28710673,28859126,29374618,29811949,29976700,30122324,30206751,30512349,30660490,30683543,30687948,31150033,31703288,31749489,32117713,32288200,32358913,32470890,32678151,32794232,32840449,33478764,33881828,33950075,34039249,34635616,34755073,34774868,34999279,35263599,35510860,35666199,35705473,35972040,36126806,36324225,36533293,36750395,36792588,36823371,36893511,37879415,38370176,38406298,38616279,38745840,38959570,38965068,39050324,39281495,39761108,40076799,40116308,40388353,40468545,40740090,41328896,41501048,41503478,41713124,41770753,41890388,41963740,41980475,42114733,42613032,42686593,42703955,43166448,43243125,43370449,43428515,43455723,43456096,43484173,43589070,43788326,43800700,44100474,45045155,45052646,45455298,45557366,45958628,46079953,46126000,46152106,46191949,46321143,46495008,46639213,46688679,46751484,47137794,47576139,47710475,47752333,47821478,47939661,48006968,48072326,48416749,48522103,48527233,48562254,48563943,48778724,48888108,49089272,49259031,49324406,49518349,49690599,49710892,49998970,50066449,50340215,50356488,50376570,50503633,50721793,50729800,51244746,51415124,51446087,51891750,51930395,52114218,52240849,52306884,52560840,52887553,52948311,53059046,53412728,53424493,53735008,53869268,53978955,54007839,54044324,54054186,54113450,54458855,54491199,54812113,54866140,54918349,55093988,55225431,55351200,55554253,55976749,56064896,56424471,56515478,56608333,56649272,56651049,57071025,57162455,57252570,57446413,57538724,57577552,57743078,58224607,58591249,58694893,59041280,59130945,59155475,59212033,59521453,59624449,59727373,59942751,59948200,59998764,60089319,60106839,60325028,60408258,60451884,60650449,60875760,61005650,61069408,61366955,61647206,61662543,61770733,61888724,62270100,62316474,62580013,62756324,63057743,63073008,63083473,63273896,63585446,63730431,64068566,64123103,64181048,64774746,64870475,64934144,64936140,65254712,65350626,65482522,65527268,65672449,65839368,65931580,66045908,66066433,66262993,66369543,66421440,66753133,66953103,67094555,67434278,67441725,68291439,68485230,68594946,68629478,68703084,68779879,68984593,69080749,69265216,69317290,69516231,69543608,69992482,70329155,70419373,70514449,70614392,70849536,70957134,70986570,71015560,71083393,71183133,71427100,71937840,72075428,72203679,72247124,72419915,72429926,72696239,72754232,72774673,73050912,73206780,73240333,73247339,73276628,73411551,73494410,73640346,73984651,74069289,74091723,74670695,74724120,75176449,75267853,75541633,75719008,75775271,75845348,76449553,76539949,76661366,76733696,76801715,77080813,77439949,77538643,77844570,77923368,78087232,78103564,78236559,78243793,78380200,78421633,79117896,79441191,79456406,79570573,79705728,79706075,79892505,79981431,80225528,80513466,80533249,80620333,80791124,80930070,81209555,81314413,81660650,81831949,81848511,81857567,82091255,82182276,82320548,82597911,83034208,83178010,83180748,83312999,83418872,83538349,84064635,84141755,84296833,84355748,84394986,84482168,84741825,84766055,84799249,84984278,85183884,85218672,85602939,85630849,85712520,85879124,86043949,86084151,86325408,86353286,86557523,86864749,86903898,86906859,87490166,87568724,87663789,87740943,87759313,87848136,88001773,88177725,88193292,89005903,89007633,89086628,89527478,89601613,89604834,89666795,89668944,89680849,89928788,89997073,90082490,90253719,90391280,90547693,90810755,90938324,90938833,91426688,91715713,91909112,91952915,92162058,92332033,92530522,92618324,92710455,93052671,93413484,93546460,93846231,94003153,94056240,94127588,94228333,94303249,94948567,95042439,95110125,95602983,95647290,95712973,95824599,95871006,95968724,96012806,96426585,96444493,96449626,96807553,97035778,97116084,97118726,97451466,97607211,97954355,97992780,98256970,98441078,98509506,98736973,98829153,98891152,99018349,99024700,99813612,99989260,...,374105251296565848316568518463449730087175594440874856525341144942260952966337886692194836277796381622619768464783267302477923386573533879658212966009194681030486269905849579343615534902737466935619465133444068197728849939927004856061309131833305552679282170169066833613835888330376413185719021949080956378663958034158355664471570701094181926584955972124404452158315404227012879140230783998011348744940046924819680098909102384889094998551413621538022358925754059535859345706801955597980843397338659847979356530356376047943536922147256169248103299778871671177854251946023132145504005882194704902590056116468247583170774295105090643678765668900734477588092056055715909926587674882709408729032087022532229854941240167791838711910496819528297469024483815623634967205021577985305893132748138359985343582815716153773405163562102909173753380508381462933074964532291500512113925985777909912443548155980495046794688944609652250512775949733509643550843257190217007024657800765403358088245472041867902945447714039882779886521110042865408717762261793675408568812683861201434888201664014561042163590758348931718249461245761362124641224107725836157676203895477359515470615636638097063874176561457885531220062339611165214864540164409474057248573708790069682470279155396778977820789567584883794990379424149027763223452083314590660643168099118734076263440791479466350861841438526182284709490218428818716063720572912333488745364782041401023335227834135368685578052144181472854127264117669678841818696370627799821210340091995754128971379798294372685687980771235830567893168316305196966806639808073782555872157096730864281097705128245751362562564866102280891258781622616329084791664191476956874631965558921217453142661309959282738723284290960502633470891945554141500278500579391015717498394921795988733356525734337573546603401030797436073915651359871046150672337056522456936562271545310568128290345973304872947597820633003549560403447195711647117687521897806444605393764065137151229750580808184355140724298824288841767638684619414413568232996290830523975263846241256307592421245600927705858478790144194106236940120738996886746476442329654649405487114443085929245148221962835364057514144158093442209016655789930042853543219722732514332197649189997790893453701063175734479684821401681634279526450330138033173715759461181513065168942479606926925415388607151133113014434555192063273382407003230259446676616147783404985923997453409108564065344534465560303213553201337106613285811092377364335204269644428822230414820457632827306064735498551793040889157330134996262848216306683709022675207527103331507738044306328766744170803143304198829220593087676515345007818637978594977025809023826479754281784644681129724430205413042818685687647268891784145013640908864252689874873365596856371271852283645699460001791812103443156714066461230486569890710217609515112791864617373247835688678140233842233875715855261334830808772523592926501443113326778920898150714258899202638577295697933586724963730342823479221985120494967076767777167769154562910912993463427017348190329223387729031214332780881542533278511114769859925034804222843381594964746106861108512647622372225554002603010996033263756100573814097590722557612245299016836111777067735328949522097452957793857533297816646569793290213595188202715598937286227637675748311368655297059173840566991237478001845094620104906285518221019528139331578841632325023670751765913471338545691871255078699366347338280107951864327870632457037636230675923722076958201261947432711113717740596262277871602465704145001723326383477300784822986572877568621432510770469259108314108278013812644492131811345924471175280088533126716227451766882337683604395211106197601204101597577301476}
23087  28650471064123627762511073114066505592843849261197777369345875268739212627676: {23087,184648,207729,899769,1268905,1522686,2143929,2190985,2260958,2629182,2651785,2744497,2972289,3182142,3229940,3298009,3342685,3712177,3875928,3920710,4011222,4312033,4360419,4614200,4626417,4704852,4723405,4818913,4953385,5039409,5095597,5190975,5303110,5537040,5581246,5668086,5832409,5906176,5944062,6102685,6133694,6229170,6363732,6612193,6644448,6662317,7021405,7323222,7475004,7793942,8168905,8394932,8425686,8543017,8623318,8762420,9086185,9376873,9445990,9507673,9802686,10231885,10514904,10903422,10976084,11208369,11335188,11359213,11388182,11829267,11905993,11935238,11992760,12141553,12188689,12204310,12266324,12278262,12520285,12694489,13189748,13491855,13582390,14069497,14206808,14391312,14645172,14846132,14938033,15024342,15294009,15586532,15680120,15861469,15945385,15982659,16051213,16190226,16298868,16832737,17050340,17206777,17523320,17640135,17938033,18471409,18571046,18816144,18952617,19026975,19134462,19272308,19367389,19595977,19656518,19713735,20295440,20378852,20460408,20557753,20701273,20725405,20738317,20977617,20992609,21027984,21168162,21208760,21231769,21584318,21950264,22002337,22321112,22716454,22767769,22832370,23017959,23080033,23656482,23731827,23809918,23859855,23868404,24128905,24354528,24375262,24581110,24694047,24701533,24870486,24881377,25011417,25111251,25450512,25487785,25746422,26028409,26166685,26200417,26377208,26842486,27367213,27398844,27740377,28050409,28080740,28252175,28543009,28631826,28694953,28954686,29397675,29423649,29497332,29674359,30163549,30306164,30585342,30834740,30908905,31357520,31363993,31400022,31420569,31427924,31431910,31475535,32099638,32273209,32378774,33573904,33696888,33729709,33902610,34097720,34487288,34745828,35070673,35277210,35633485,35930686,36162784,36313417,36495446,36587289,36787558,37001688,37090686,37138868,37286403,37470875,37547569,37629024,37652905,37718292,37770642,37793929,37882477,37908999,38024084,38359935,38731414,38798199,39071929,39629110,40002217,40275668,40360250,40536849,40554289,40683132,40850797,40917264,40992790,41626899,41769697,41848455,42006097,42332652,42352285,42503529,42546733,42760182,42953113,43288689,43294520,43417606,43468585,43570868,44061927,44388575,44638352,44965050,45183486,45990735,46031922,46679713,46736137,47018132,47227622,47554932,47962720,48432300,48706335,48812905,49056784,49097828,49191348,49533937,49568113,49701385,49731097,49963789,50077753,50145385,50218146,50380358,50791537,50822742,51046006,51488372,51504349,51661120,51876310,51953424,52141405,52162302,52362985,52454675,52800998,53266290,53343049,53435732,53958060,54190209,54320120,54394609,54750875,55188882,55364659,56058409,56158417,56817376,57081046,57090193,57097873,57448285,57555264,57609447,57657500,57940964,58058893,58118760,58439355,58447602,58575486,58587997,58800632,59109529,59641662,60008710,60174462,60607064,60850657,60973405,61110135,61347326,61361590,61761524,61787593,61993344,62138615,62251572,62255217,62335312,62430142,62569686,62835582,62850392,62945610,63004118,63412250,63434852,63475297,63659953,63782582,63919548,64268905,64589293,64749672,64751924,65077142,65184144,65383605,65678708,65682489,65701050,66121726,66150711,66254132,66765910,66998977,67141984,67168760,67336585,67485913,67555405,67578969,68182947,68326328,68336049,68582675,68758189,68867485,68937942,69132118,69189000,69228159,69485624,69742512,70081120,70127226,70136569,70197337,70597748,70706691,70711222,70811590,71732217,71923405,71971940,72010452,72072248,72108489,72341977,72654932,72664873,72843381,72991513,73168086,73332162,73429609,73633908,73801600,73921897,73986609,74271709,74566338,74935250,74998455,75059437,75232628,75406285,75534732,75564855,75610573,76094700,76231597,76336760,76867119,76890913,77122686,77336086,77360905,77372593,77837625,77990809,78143089,78171327,78445405,78460326,78841260,79092370,79588569,79923668,79998352,80119092,80142452,80226310,80369329,80420473,80544344,80602512,80803902,81066486,81081279,81167680,81170175,81568390,81909085,81947809,81995233,82216724,82299210,82414475,82557385,82640982,82717177,83020633,83026800,83088632,83532118,84097344,84160318,84293473,84773217,84973908,85254193,85606153,85855849,85878855,86308086,86366328,86409769,86529758,86581520,86614617,86929510,86959526,87134168,87161206,87248953,87785824,88267990,88492724,88561920,88769450,88836109,89270804,89283875,89661313,89709433,89877182,89922300,89987846,89998146,90094285,90308905,90487542,90612387,90677826,90764833,90831337,90942790,91055252,91065133,91313640,91459928,91508475,91595785,91604112,91676233,92470809,92688308,92833086,93405150,93474711,94051462,94134486,94262833,94466048,94609512,94623793,94648760,94806685,94910844,95378169,95899597,95917120,96102849,96271572,96888289,97162119,97401216,97404210,97609040,97629455,97882068,97975250,98025939,98187128,98223783,98290902,98759052,98788964,98897370,99039193,99068862,99148918,99632160,99641449,...,561157876944848772474852777695174595130763391661312284788011717413391429449506830038292254416694572433929652697174900953716885079860300819487319449013792021545729404858774369015423302354106200403429197700166102296593274909890507284091963697749958329018923255253600250420753832495564619778578532923621434567995937051237533496707356051641272889877433958186606678237473106340519318710346175997017023117410070387229520148363653577333642497827120432307033538388631089303789018560202933396971265096007989771969034795534564071915305383220884253872154949668307506766781377919034698218256008823292057353885084174702371374756161442657635965518148503351101716382138084083573864889881512324064113093548130533798344782411860251687758067865745229292446203536725723435452450807532366977958839699122207539978015374223574230660107745343154363760630070762572194399612446798437250768170888978666864868665322233970742570192033416914478375769163924600264465326264885785325510536986701148105037132368208062801854418171571059824169829781665064298113076643392690513112853219025791802152332302496021841563245386137523397577374191868642043186961836161588754236514305843216039273205923454957145595811264842186828296830093509416747822296810246614211085872860563185104523705418733095168466731184351377325692485569136223541644835178124971885990964752148678101114395161187219199526292762157789273427064235327643228074095580859368500233118047173062101535002841751203053028367078216272209281190896176504518262728044555941699731815510137993631193457069697441559028531971156853745851839752474457795450209959712110673833808235645096296421646557692368627043843847299153421336888172433924493627187496287215435311947948338381826179713991964938924108084926436440753950206337918331212250417750869086523576247592382693983100034788601506360319905101546196154110873477039806569226008505584783685404843407317965852192435518959957309421396730949505324340605170793567470676531282846709666908090646097705726844625871212276532711086448236433262651458026929121620352349494436245785962895769361884461388631868401391558787718185216291159355410181108495330119714663494481974108230671664628893867722332944253046086271216237140163313524983684895064280314829584098771498296473784996686340180551594763601719527232102522451419289675495207049760573639191772269597753413719410390388123082910726699669521651832788094910073610504845389170014924221675107478885996180113662846098016801698340454820329802005659919928716638566046502806404466643233345622230686449240959097103247827689561333735995202494394272324460025563534012811290654997261607066459493150116256204714956298243830889631514773017511727956967892465538713535739719631422676967021694586645308119564228028531470903337676217520461363296379034812310048395284556907778425468549190002687718155164735071099691845729854836065326414272669187796926059871753533017210350763350813573782892002246213158785389389752164669990168381347226071388348803957865943546900380087445595514235218832977680742450615151665751653731844366369490195140526022285493835081593546821499171322313799917766672154789887552206334265072392447119160291662768971433558338331003904516494049895634150860721146386083836418367948525254167665601602993424283146179436690786299946724969854689935320392782304073398405929341456513622467052982945588760760850486856217002767641930157359428277331529292208997368262448487535506127648870207007818537806882618049049521007420161927796491805948685556454346013885583115437301892921149066670576610894393416807403698556217502584989575215951177234479859316352932148766155703888662471162417020718966738197717018886706762920132799690074341177650323506525406592816659296401806152396365952214}
23088  28753164016508610906562851646780941933483536338856045469994816458947197823822: {161567,230810,276972,392207,668711,714767,1060898,1082927,1199692,1337306,1358711,1404647,1542407,1634207,2030248,2165666,2284029,2717186,2858572,2916047,3391437,3463487,3505576,3818498,3827807,3943773,3963052,4037425,4146167,4242856,4773213,4827047,4844910,5167904,5189447,5191898,5234711,5348296,5767750,5813892,5881065,6016833,6168556,6183407,6273136,6318647,6408767,6719212,6835226,6921300,7057278,7083647,7382720,7557448,7667087,7891127,7925416,7935911,7954665,8200706,8305560,8338607,8371869,8484976,8502129,8606711,8829911,8859264,8916093,9008327,9200541,9275711,9343755,9498311,9545598,9764296,9966672,10164911,10377986,10493665,10564007,10649498,10953025,10984833,11212506,11234248,11690913,11757407,12275546,12329927,12430957,12549767,12592398,12638529,12934977,12988847,13070248,13143630,13208087,13645967,13720105,13908311,14019872,14168985,14388527,14435546,14519327,14537896,14704029,14944492,14990950,15113584,15332905,15476327,15772356,15780866,16083311,16317986,16355133,16371016,16464126,16487185,16515911,17002782,17082273,17658266,17758510,17765927,17902857,17989140,18023711,18066647,18306465,18399486,18417393,18452711,18557665,19094711,19188416,19206481,19483165,19526896,19530973,19600150,19784622,20032456,20061698,20328026,20373585,20392012,20585711,20840327,21126146,21310212,21312925,21586968,21602447,21731824,21904150,21967758,22024727,22269198,22277711,22530407,22536513,23080057,23118911,23160887,23370647,23379798,23520180,23998727,24090385,24124127,24285339,24448302,25088192,25249487,25270156,25369300,25473565,25512616,25575510,26284980,26510950,26617007,26864711,27029687,27276911,27280544,27437830,27726746,27856569,27901390,27970156,28037312,28098911,28224216,28344887,28701693,28754207,28908462,29297498,29377166,29484777,29570447,29835505,30176377,30341786,30443160,30568278,30690612,30910247,31152911,31541976,31642436,31752243,31798607,31813140,32120687,32160911,32163746,32361911,32376477,32472704,32602847,32925396,32971510,33003767,33160648,33201698,33348556,33481668,33563711,33723407,33803207,33934016,34074681,34248555,34321127,34400687,34519967,34798007,35100925,35484723,35714877,35748311,35802606,36044186,36262369,36300527,36531792,36536711,36562893,36816386,36871665,37165127,37282727,37305729,37330466,37882705,38100506,38175768,38532647,38543425,38606248,38619633,39058558,39196900,39231532,39284905,39329776,39503447,39565812,39619607,39813047,40263729,40276487,40780456,40854167,41098266,41167706,41199911,41866696,41894092,41927687,41967380,42121110,42156911,42185498,42622150,42690647,42728711,42924686,42947739,43109110,43200986,43432029,43432285,43488311,43829087,44245998,44621711,44719898,44847527,44929184,44972546,45203480,45459246,45878013,46233626,46252110,46423585,46680911,47036280,47100033,47141886,47147865,47460767,47530105,48149457,48531911,48568161,48568727,48744986,48783052,48862967,49120007,49303367,49335584,49454248,49715204,50172032,50291056,50344585,50360856,50508527,50545332,50853915,51053447,51146580,51450553,51730932,52118742,52173911,52236698,52892711,52915815,53031181,53429711,53476898,53896029,54049132,54107327,54118150,54244176,54285167,54463585,54543398,54556352,54640247,54743169,54852911,54994093,55029911,55181337,55383311,55502532,55559711,55594967,55636029,55708302,55771127,55797940,55946498,56443536,56577438,56648927,56655963,56671372,56823887,57013576,57036126,57138311,57421346,57718252,57799967,58097121,58320287,58749236,58772665,59011247,59217911,59443665,59623898,59767607,59785537,59953400,60244648,60246911,60413502,60540375,60799921,60894887,60962927,61024698,61320980,61367086,61372285,61375896,61404407,61489185,62114711,62300066,63063217,63123311,63406576,63498978,63991607,64140273,64235426,64360465,64576400,64717826,64941780,65126409,65356302,65588464,65680898,65777711,66302447,66466007,66759911,66792527,66794665,66957528,67053167,67447575,67763656,67775229,67900150,68078498,68413127,68734847,68831207,69023711,69047883,69271232,69311927,69471767,69510146,69549736,69854567,69998558,70426607,70476301,70527198,70648367,70841433,71021720,71090711,71279807,71332398,71410946,71688527,71751287,71876711,71944080,72071875,72253612,72426205,72648450,72702553,72813311,72968711,73066586,73500790,73585176,73619207,73646742,73787022,74081687,74481047,74542367,74940167,75306167,75327219,75549527,75570537,75758830,75781849,75853007,76234113,76242397,76367087,76457567,76569009,76638311,76740352,76812596,77118887,77201905,77208767,77232558,77491680,77537711,77814465,77919140,77930136,78100648,78243453,78281711,78562990,78991247,79201497,79293565,79522216,79608311,79754711,79899435,80027437,80153598,80232616,80776706,80937090,80939905,81351911,81480180,81610967,81864673,82098385,82184327,82355711,82657792,82783323,82817665,82953287,83002096,83006956,83426248,83541506,83780776,83927480,83960950,84229466,84305927,84333911,84585407,85226064,85373186,85407910,85557287,85621569,85722911,85913737,86300327,86332896,86486250,86565037,86710607,86740898,86857030,86911446,86912192,86968346,87178140,87227711,87576652,87601400,87606887,87671403,87768911,87795887,87863229,88199567,88200948,88247185,88735007,88815047,88974911,89373311,89462493,89552593,89875367,89964925,90007007,90013065,90033311,90090310,90105292,90261693,90426911,90583847,90818665,90910596,90948911,91114732,91487869,91725911,91751687,91828967,91917256,92020989,92042385,92159906,92252000,92304212,92383898,92597807,92642286,92750711,92979527,92990016,93278426,93377358,93485687,93502968,93645213,93787847,93854529,93932377,94038767,94040785,94238927,94253373,94275588,94418415,94506177,94910687,95118375,95152278,95281367,95420950,95504666,95601167,95642956,95673873,95748311,95879322,95895167,96013936,96144652,96479711,96740761,96818567,96833498,96963311,97044206,97054466,97124508,97127886,97557448,97563311,97615713,97776216,97825727,98178544,98394911,98460817,98518062,98551575,98607167,98648812,98748311,99036698,99123287,99182589,99240047,99381198,99421784,99542687,99904585,99997940,...,841736815417273158712279166542761892696145087491968427182017576120087144174260245057438381625041858650894479045762351430575327619790451229230979173520688032318594107288161553523134953531159300605143796550249153444889912364835760926137945546624937493528384882880400375631130748743346929667867799385432151851993905576856300245061034077461909334816150937279910017356209659510778978065519263995525534676115105580844280222545480366000463746740680648460550307582946633955683527840304400095456897644011984657953552193301846107872958074831326380808232424502461260150172066878552047327384013234938086030827626262053557062134242163986453948277222755026652574573207126125360797334822268486096169640322195800697517173617790377531637101798617843938669305305088585153178676211298550466938259548683311309967023061335361345990161618014731545640945106143858291599418670197655876152256333468000297302997983350956113855288050125371717563653745886900396697989397328677988265805480051722157555698552312094202781627257356589736254744672497596447169614965089035769669279828538687703228498453744032762344868079206285096366061287802963064780442754242383131354771458764824058909808885182435718393716897263280242445245140264125121733445215369921316628809290844777656785558128099642752700096776527065988538728353704335312467252767187457828986447128223017151671592741780828799289439143236683910140596352991464842111143371289052750349677070759593152302504262626804579542550617324408313921786344264756777394092066833912549597723265206990446790185604546162338542797956735280618777759628711686693175314939568166010750712353467644444632469836538552940565765770948730132005332258650886740440781244430823152967921922507572739269570987947408386162127389654661130925309506877496818375626626303629785364371388574040974650052182902259540479857652319294231166310215559709853839012758377175528107265110976948778288653278439935964132095096424257986510907756190351206014796924270064500362135969146558590266938806818414799066629672354649893977187040393682430528524241654368678944343654042826692082947802602087338181577277824436739033115271662742995179571995241722961162346007496943340801583499416379569129406824355710244970287475527342596420472244376148157247444710677495029510270827392145402579290848153783677128934513242810574640860458787658404396630120579115585582184624366090049504282477749182142365110415757268083755022386332512661218328994270170494269147025202547510682230494703008489879893074957849069754209606699964850018433346029673861438645654871741534342000603992803741591408486690038345301019216935982495892410599689239725174384307072434447365746334447272159526267591935451838698308070303609579447134015450532541879967962179346342042797206355006514326280692044944568552218465072592926835361667638202823785004031577232747102606649537768594782254097989621409003781695389089807630299525815526145026220360674338003369319738178084084628247004985252572020839107082523205936798915320350570131168393271352828249466521113675922727498627480597766549554235292710789033428240752622390320232248756983470699876650008232184831328309501397608588670678740437494153457150337507496505856774741074843451226291081719579125754627551922787881251498402404490136424719269155036179449920087454782034902980589173456110097608894012184770433700579474418383141141275730284325504151462895236039142415997293938313496052393672731303259191473305310511727806710323927073574281511130242891694737708923028334681519020828374673155952839381723600005864916341590125211105547834326253877484362823926765851719788974529398223149233555832993706743625531078450107296575528330060144380199199535111511766475485259788109889224988944602709228594548928321}
23089  28856222633225340616750674604026980231804364389429959098274886588404778347624: {46174,346215,369296,415458,1499615,1591347,1776467,1799538,2005959,2537810,3045372,3067379,3248499,3573215,3712499,3897647,4075779,4287858,4381970,4521916,4679759,4819331,4953815,5096039,5258364,5303570,5488994,5695079,5727747,5944578,6364284,6459880,6596018,6612767,6685370,6892847,6934739,7267365,7424354,7446119,7710695,7751856,7787847,7841420,8022444,8399015,8543759,8624066,8651625,8720838,9228400,9252834,9377687,9409704,9446810,9637826,9829967,9906770,10078818,10191194,10252839,10381950,10585917,10606220,11074080,11081759,11162492,11336172,11436467,11664818,11812352,11888124,12142607,12205370,12267388,12301059,12458340,12695591,12720659,12727464,13224386,13288896,13324634,13569971,14042810,14070719,14318397,14324639,14646444,14950008,15444407,15566979,15587884,15974247,16337810,16789864,16818759,16834199,16851372,16959107,17086034,17246636,17524840,17528399,17654039,17939591,18172370,18413319,18680615,18753746,18813059,18888597,18891980,19015346,19597679,19605372,19715445,20463770,20703071,21029808,21653319,21806844,21829847,21952168,22128947,22323539,22416738,22486425,22670376,22718426,22776364,23178119,23658534,23671299,23811986,23862407,23870476,23985520,24283106,24377378,24408620,24476979,24532648,24556524,24696189,24809447,25040570,25388978,25490015,25504173,25795331,26379496,26405087,26487399,26637765,26983710,27164780,27599229,28138994,28413616,28702199,28782624,29015567,29254607,29282819,29290344,29400225,29676933,29692264,29876066,30048684,30092547,30492039,30588018,30760847,30879599,31173064,31360240,31587695,31689219,31711625,31722938,31890770,31965318,32102426,32380452,32597736,32856225,32951637,33403797,33527027,33665474,33732647,33780467,34100680,34413554,34907687,34962695,35046640,35069697,35280270,35682899,35876066,36633359,36672453,36942818,37142092,37632288,37905234,38053950,38268924,38363265,38544616,38605247,38734778,39191954,39313036,39427470,39553045,39584567,39766425,40590880,40757704,40920816,41115506,41156745,41402546,41447159,41450810,41476634,41590119,41685695,41852085,41955234,41985218,42055968,42336324,42339239,42417520,42463538,42532547,42550439,43168636,43272467,43362693,43900528,43946247,44004674,44065749,44642224,44675399,45432908,45512679,45535538,45664740,45852417,46035918,46160066,46683779,47312964,47463654,47552231,47619836,47719710,47736808,48245619,48257810,48709056,48750524,48996125,49039415,49162220,49388094,49403066,49457265,49740972,49762754,49802547,49886879,50022834,50193719,50222502,50901024,50975570,51492844,52056818,52333370,52367615,52400834,52401047,52459225,52714067,52754416,53684972,53703909,54066279,54399347,54734426,54797688,55224579,55361459,55480754,55995699,56100818,56161480,56504350,57086018,57150759,57263652,57389906,57909372,58587837,58795350,58838207,58847298,58994664,59182799,59293199,59348718,60327098,60612328,60856019,60978815,61170684,61647399,61669480,61751559,61817810,62144005,62715040,62727986,62800044,62841138,62855848,62863820,62951070,63181665,63278247,63933225,64199276,64387029,64546418,64594919,64663665,64757548,64801479,64889351,66250847,66368997,67079847,67147808,67150079,67393776,67458819,67459418,67561415,67805220,67987667,68188869,68195440,68338067,68974576,69043727,69350439,69378165,69491656,69581939,69747425,70141346,70203539,70554420,70712829,70839215,70942979,71266970,71861372,72112247,72147815,72325568,72626834,72990892,72997967,73117479,73174578,73308179,73436545,73575116,74003376,74181372,74277736,74572806,74941750,75095138,75258048,75305810,75436584,75541284,75587858,75617159,75764954,75817998,76048168,76651225,76719870,77462828,77596398,78143858,78178113,78355047,79258220,79756079,80004434,80215347,80427599,80551336,80720500,81073698,81108578,81177225,81366264,81701594,81815097,81834528,81954947,81985580,82002407,83253798,83539394,83562453,83696910,83889959,83919747,84012194,84300887,84665304,84704570,84866157,85007058,85093466,85261619,85362767,85520364,85554189,85906226,86132019,86475251,86577378,86589040,86780447,86835212,86937170,86994061,87141736,88123854,88777150,88843847,89276704,89435847,89930100,89976467,90317015,90366972,90620253,90772739,90871079,91537047,91641731,91981470,92050629,92063844,92394551,92529119,93359426,93450099,93472274,93841607,94036264,94271219,94455244,94577567,94632131,95109864,95248467,95925440,96015745,96353139,96414479,96864600,97076739,97345487,97398925,97412670,97625810,98034453,98113568,98195656,98382696,98521347,99067874,99136226,99402770,99462194,99619559,99927578,...,1122315753889697544949705555390349190261526783322624569576023434826782858899013660076584508833389144867859305394349801907433770159720601638974638898027584043091458809717548738030846604708212400806858395400332204593186549819781014568183927395499916658037846510507200500841507664991129239557157065847242869135991874102475066993414712103282545779754867916373213356474946212681038637420692351994034046234820140774459040296727307154667284995654240864614067076777262178607578037120405866793942530192015979543938069591069128143830610766441768507744309899336615013533562755838069396436512017646584114707770168349404742749512322885315271931036297006702203432764276168167147729779763024648128226187096261067596689564823720503375516135731490458584892407073451446870904901615064733955917679398244415079956030748447148461320215490686308727521260141525144388799224893596874501536341777957333729737330644467941485140384066833828956751538327849200528930652529771570651021073973402296210074264736416125603708836343142119648339659563330128596226153286785381026225706438051583604304664604992043683126490772275046795154748383737284086373923672323177508473028611686432078546411846909914291191622529684373656593660187018833495644593620493228422171745721126370209047410837466190336933462368702754651384971138272447083289670356249943771981929504297356202228790322374438399052585524315578546854128470655286456148191161718737000466236094346124203070005683502406106056734156432544418562381792353009036525456089111883399463631020275987262386914139394883118057063942313707491703679504948915590900419919424221347667616471290192592843293115384737254087687694598306842673776344867848987254374992574430870623895896676763652359427983929877848216169852872881507900412675836662424500835501738173047152495184765387966200069577203012720639810203092392308221746954079613138452017011169567370809686814635931704384871037919914618842793461899010648681210341587134941353062565693419333816181292195411453689251742424553065422172896472866525302916053858243240704698988872491571925791538723768922777263736802783117575436370432582318710820362216990660239429326988963948216461343329257787735444665888506092172542432474280326627049967369790128560629659168197542996592947569993372680361103189527203439054464205044902838579350990414099521147278383544539195506827438820780776246165821453399339043303665576189820147221009690778340029848443350214957771992360227325692196033603396680909640659604011319839857433277132093005612808933286466691244461372898481918194206495655379122667471990404988788544648920051127068025622581309994523214132918986300232512409429912596487661779263029546035023455913935784931077427071479439262845353934043389173290616239128456057062941806675352435040922726592758069624620096790569113815556850937098380005375436310329470142199383691459709672130652828545338375593852119743507066034420701526701627147565784004492426317570778779504329339980336762694452142776697607915731887093800760174891191028470437665955361484901230303331503307463688732738980390281052044570987670163187093642998342644627599835533344309579775104412668530144784894238320583325537942867116676662007809032988099791268301721442292772167672836735897050508335331203205986848566292358873381572599893449939709379870640785564608146796811858682913027244934105965891177521521700973712434005535283860314718856554663058584417994736524896975071012255297740414015637075613765236098099042014840323855592983611897371112908692027771166230874603785842298133341153221788786833614807397112435005169979150431902354468959718632705864297532311407777324942324834041437933476395434037773413525840265599380148682355300647013050813185633318592803612304792731904428}
23090  28959648207739851308235730181866170120249923682842672961936745854619711284987: {69261,323134,438349,461620,553944,623187,714829,784414,852961,1337422,1404769,1429534,1680241,1817869,2121796,2165854,2230321,2399384,2674612,2699307,2717422,2809294,2916301,3084814,3268414,3806715,4060496,4331332,4568058,5235169,5434372,5652395,5717144,5832094,6431787,6454381,6572955,6782874,6926974,6994381,7011152,7129201,7636996,7655614,7887546,7926104,7936609,7955355,8074850,8233491,8292334,8473441,8485712,8916867,9543649,9546426,9654094,9689820,9801775,9894027,9943789,10028055,10335808,10378894,10383796,10469422,10696592,11136531,11535500,11627784,11762130,11802541,12033666,12199009,12331021,12337112,12366814,12546272,12637294,12817534,12936099,13081257,13257775,13438424,13647181,13670452,13842600,13879251,13953115,14114556,14167294,14170215,14433421,14456739,14691131,14765440,14860155,15114896,15118227,15286791,15334174,15334235,15572925,15782254,15850832,15868129,15871822,15909330,16401412,16611120,16677214,16743738,16969952,17004258,17213422,17497227,17552461,17659822,17718528,17832186,18016654,18068269,18308055,18401082,18551422,18687510,18996622,19091196,19208147,19484855,19528592,19836579,19933344,19986951,20329822,20375149,20755972,20757361,20987330,21064215,21128014,21298996,21392941,21466067,21558295,21906050,21969666,22026721,22425012,22468496,22910989,23082059,23162989,23381826,23414701,23514814,23614975,23917261,24042721,24506715,24551092,24659854,24793969,24861914,25099534,25184796,25277058,25293361,25629051,25869954,25977694,25980731,26140496,26287260,26416174,26908429,27258555,27276431,27279409,27291934,27440210,27816622,28039744,28130619,28142509,28337970,28388461,28470455,28523019,28777054,28871092,29038654,29075792,29408058,29838095,29888984,29981900,30227168,30510775,30665810,30688867,30695655,30952654,30953569,31544712,31561732,32163889,32166622,32635972,32710266,32742032,32928252,32974370,33006829,33031822,33625107,33726539,33726541,33955975,34005564,34077639,34164546,34324321,34562929,35316532,35487801,35514481,35517020,35531854,35662991,35717979,35805714,35978280,36047422,36133294,36225121,36343309,36424659,36566067,36612930,36798972,36834786,36905422,37115330,37560855,37873201,38083467,38189422,38376832,38412962,38966330,39053792,39061946,39200300,39569244,39855469,40064912,40123396,40475565,40656052,40747170,40784024,40896481,41171422,41242189,41680654,41769707,42208491,42252292,42620424,42625850,42732769,42855527,43173936,43204894,43463648,43808300,43871089,43935516,44049454,44538396,44555422,44663629,44814099,44889421,45060814,45073026,45227569,45882027,46014061,46160114,46237822,46321774,46427615,46741294,46759596,47040360,47465329,47584407,47836155,47947977,47997454,48153639,48180770,48248254,48570678,48573409,48683821,48896604,49124749,49141295,49344781,50176384,50498211,50498974,50540312,50738600,50947130,51025232,51151020,51620331,52178989,52502881,52569960,52920405,53021900,53035787,53234014,53729422,53814099,53960795,54059374,54112621,54326029,54553822,54561088,54751981,54875660,54998867,55414227,55453492,55600429,55713138,55802780,55917409,55940312,56074624,56197822,56233741,56448432,56689774,56791135,56857851,56864461,57080925,57403386,57508414,57805681,57816924,58102167,58594996,58754332,58787931,58844641,58969554,59140894,59141205,59524795,59671010,60287089,60352754,60594349,60683572,60805199,60886320,60938155,61136556,61308769,61381224,61410541,61452775,61613869,61673259,61820494,62103819,62176215,62214951,62305822,62932851,62977827,63029101,63083952,63284872,63504486,63597214,63626280,63695307,64131169,64241374,64321822,64327492,64366055,64723822,64752954,64827949,64945408,64993019,65205694,65521201,65817229,65850792,65943020,66007011,66007534,66321296,66403396,66505441,66542147,66697112,66799309,66963336,67106215,67127422,67446814,67606414,67868032,68149362,68303307,68497110,68642254,68801374,69039934,69053877,69240099,69319021,69510829,69596014,69893581,70201850,70275181,70370401,70482419,70845421,70969446,71195481,71318641,71429754,71496622,71579565,71605212,71884129,72088372,72386715,72524738,72601054,73063584,73073422,73125786,73632772,73657741,73743330,74082141,74104599,74120161,74330254,74488801,74565454,74611458,74644131,74660932,74947981,75034251,75333753,75765410,76201012,76249019,76351536,76405261,76463355,76676449,77065294,77086850,77212496,77239266,78022669,78085227,78117116,78393800,78463064,78500055,78569810,78579775,78601251,78659552,78999601,79006894,79131624,79239214,79626094,79792429,80249095,80527458,80552974,80753521,80843851,80946935,81560912,81708334,82101639,82196532,82281731,82335412,82399822,83221131,83733392,83753581,83788184,83855374,83934760,84151227,84242220,84313822,84343009,84370996,84594541,84756525,85012321,85244300,85381294,85457422,85594189,85629027,85759789,85842481,85849372,85895478,85921199,85925101,86084859,86218220,86401972,86747341,86864058,86864570,86976622,87562381,87643489,87658174,87805489,88193025,88270947,88491996,88611169,89023077,89243422,89250529,89439796,89560367,89695054,89826715,89858368,89885281,89945092,90043249,90104651,90358321,90406960,90490647,90918492,91238615,91452001,91495811,91756026,91761889,91916401,91968895,91993549,92467252,92504220,92608141,92726715,92761069,92847170,93142129,93361822,93369901,93512531,94072560,94091979,94200066,94261707,94283772,94295730,94426605,94921534,95060210,95611981,95906029,96298914,96749159,96819627,96828535,96998449,97063822,97136322,97137454,97489972,97566104,97717729,97725934,98216941,98240014,98429809,98500621,98606734,98642029,98671168,98908496,98994289,99072775,99090739,99134689,99430408,99693409,...,1683473630834546317424558333085523785392290174983936854364035152240174288348520490114876763250083717301788958091524702861150655239580902458461958347041376064637188214576323107046269907062318601210287593100498306889779824729671521852275891093249874987056769765760800751262261497486693859335735598770864303703987811153712600490122068154923818669632301874559820034712419319021557956131038527991051069352230211161688560445090960732000927493481361296921100615165893267911367055680608800190913795288023969315907104386603692215745916149662652761616464849004922520300344133757104094654768026469876172061655252524107114124268484327972907896554445510053305149146414252250721594669644536972192339280644391601395034347235580755063274203597235687877338610610177170306357352422597100933876519097366622619934046122670722691980323236029463091281890212287716583198837340395311752304512666936000594605995966701912227710576100250743435127307491773800793395978794657355976531610960103444315111397104624188405563254514713179472509489344995192894339229930178071539338559657077375406456996907488065524689736158412570192732122575605926129560885508484766262709542917529648117819617770364871436787433794526560484890490280528250243466890430739842633257618581689555313571116256199285505400193553054131977077456707408670624934505534374915657972894256446034303343185483561657598578878286473367820281192705982929684222286742578105500699354141519186304605008525253609159085101234648816627843572688529513554788184133667825099195446530413980893580371209092324677085595913470561237555519257423373386350629879136332021501424706935288889264939673077105881131531541897460264010664517301773480881562488861646305935843845015145478539141975894816772324254779309322261850619013754993636751253252607259570728742777148081949300104365804519080959715304638588462332620431119419707678025516754351056214530221953897556577306556879871928264190192848515973021815512380702412029593848540129000724271938293117180533877613636829598133259344709299787954374080787364861057048483308737357888687308085653384165895605204174676363154555648873478066230543325485990359143990483445922324692014993886681603166998832759138258813648711420489940574951054685192840944488752296314494889421354990059020541654784290805158581696307567354257869026485621149281720917575316808793260241158231171164369248732180099008564955498364284730220831514536167510044772665025322436657988540340988538294050405095021364460989406016979759786149915698139508419213399929700036866692059347722877291309743483068684001207985607483182816973380076690602038433871964991784821199378479450348768614144868894731492668894544319052535183870903677396616140607219158894268030901065083759935924358692684085594412710013028652561384089889137104436930145185853670723335276405647570008063154465494205213299075537189564508195979242818007563390778179615260599051631052290052440721348676006738639476356168169256494009970505144041678214165046411873597830640701140262336786542705656498933042227351845454997254961195533099108470585421578066856481505244780640464497513966941399753300016464369662656619002795217177341357480874988306914300675014993011713549482149686902452582163439158251509255103845575762502996804808980272849438538310072358899840174909564069805961178346912220195217788024369540867401158948836766282282551460568651008302925790472078284831994587876626992104787345462606518382946610621023455613420647854147148563022260485783389475417846056669363038041656749346311905678763447200011729832683180250422211095668652507754968725647853531703439577949058796446298467111665987413487251062156900214593151056660120288760398399070223023532950970519576219778449977889205418457189097856642}
23091  29063442038063402669987642106885565040917196401376844406449666912440807177199: {92348,484701,577025,692430,738592,830916,1176621,2006133,2099461,2144301,2652245,2999230,3182694,3248781,3343265,3552934,3599076,4011918,4076133,4213941,4312781,4627221,4902621,5002501,5075620,5414165,5695573,5833421,6090744,6134758,6496998,6663473,6792965,6852087,6935341,7146430,7424998,7795294,8151558,8322133,8575716,8748141,8763940,9043832,9359518,9546245,9638662,9907630,10174311,10192078,10390461,10390589,10516728,10607140,10794973,10977988,11082721,11390158,11455494,11483421,11758621,11831319,11889156,12112275,12438501,12728568,12919760,12979745,13192036,13225534,13370740,13424741,13571149,13785694,13869478,14319639,14419375,14481141,14534730,14848708,14892238,14940629,15367013,15421390,15503712,15568341,15575694,15682840,15704133,16044888,16798030,17087518,17088065,17248132,17303250,17441676,17643195,18050499,18252481,18398573,18456800,18505668,18550221,18755374,18814693,18819408,18893620,18955941,19226301,19275652,19659934,19813540,20042581,20157636,20382388,20501765,20505678,20741921,20763900,21171834,21212440,21250941,21714461,22130869,22148160,22163518,22324984,22672344,22872934,23001261,23329636,23624704,23673381,23776248,23807733,23863995,24285214,24410740,24534776,24602118,24885701,24916680,25015821,25115607,25391182,25441318,25454928,25506387,25820133,25944965,26152861,26448772,26489733,26577792,26623745,26649268,26669749,26748279,27024981,27039221,27139942,27371969,27601623,27764621,27827133,28031265,28085620,28141438,28494933,28636794,28649278,29292888,29900016,30494733,30681661,30688865,30888814,31133958,31175768,31480995,31510273,31692021,31948494,32675620,32859075,32954499,33579728,33637518,33668398,33702744,33918214,34172068,34493272,34512493,34575101,35049680,35056798,35072739,35272221,35308078,35686021,35879182,36088865,36344740,36610501,36826638,36989781,37292871,37361230,37477375,37507492,37626118,37649301,37777194,37783960,37915587,38030692,38804931,38966541,39195358,39210744,39358133,39430890,39444641,39452165,39624261,40794965,40927540,40937901,41160315,41406142,41724933,42059616,42506955,43165581,43306638,43557981,43592021,43613688,43659694,43904336,44108081,44112087,44145665,44222773,44257894,44326781,44396275,44647078,44833476,44972850,45092069,45340752,45436852,45552728,45998715,46356238,46428981,46781761,47317068,47342598,47556373,47623972,47724814,47740952,47756461,47971040,48249933,48566212,48754756,48817240,48947773,48953958,49000375,49065296,49065399,49113048,49392378,49461555,49547733,49618894,50081140,50154245,50777956,50820065,50980030,51008346,51094061,51246819,51590662,51895201,52758992,52810174,52815365,52974798,53275530,53297781,53420273,53708571,53967420,54071133,54199941,54329560,54760375,54919395,55198458,55252179,55358133,55374263,55672995,56277988,56507021,56827232,57063941,57284133,57404398,57565248,57619443,58031134,58359973,58449495,58509214,58565638,58580688,58592919,58800450,59293313,59353866,59384528,59752132,60097368,60185094,60984078,61120755,61176036,61521694,61757133,61759198,62346128,62520981,62720480,63175390,63378438,63423250,63445876,63781540,63930636,63938775,64204852,64760904,64807341,65032973,65195472,65712450,65760349,65903274,66009581,66074181,66277375,66807594,66833133,67054054,67252769,67330948,67351841,67465294,67497749,67560934,67591221,67609539,68201360,68594575,68655181,68827108,69049741,69109181,69240171,69316865,69356733,69482661,69753475,69815374,69925390,70093280,70111941,70139394,70560540,71365798,71752132,71996181,72271155,72372381,72856017,73243745,73266718,73314661,73344906,73442501,73442915,73885636,74284184,75264576,75748461,75810468,75854465,76107900,76420695,76537848,76615073,76660901,76726530,77089232,77210494,77469556,77892749,78383908,78626072,78854940,79106090,79169134,79532850,79851021,79969013,80349061,80409365,80594133,81089061,81181760,81515408,81830733,81841632,82231012,82313490,82428775,82805092,82894318,82901620,82953268,83004245,83180238,83371390,83569707,83704170,83784689,83910468,83970436,84111936,84296733,84672648,84678478,84835040,84927076,85034661,85065094,85100878,85370341,86105079,86262621,86337272,86544934,86725386,87001607,87801056,87892494,87962741,88009348,88131498,88248941,88454331,88711341,89284448,89350798,89506515,89570861,89725229,90110465,90529131,90865816,91025358,91071076,91329480,91649749,91704834,92040965,92071836,92320132,92730741,93326165,93367558,93458733,93849781,94585981,94625928,94927308,95104462,95239672,95251265,95256729,95395821,95439420,95473616,95622461,96183629,96362061,96482733,96491238,96515620,97085733,97094789,97129431,97418112,97501048,97646395,97808541,97992250,98078830,98324440,98766589,98776188,98806132,98914530,99011301,99174901,99481944,99525508,99605094,99628321,99687473,99773758,...,2525210446251819476136837499628285678088435262475905281546052728360261432522780735172315144875125575952683437137287054291725982859371353687692937520562064096955782321864484660569404860593477901815431389650747460334669737094507282778413836639874812480585154648641201126893392246230040789003603398156296455555981716730568900735183102232385728004448452811839730052068628978532336934196557791986576604028345316742532840667636441098001391240222041945381650922748839901867050583520913200286370692932035953973860656579905538323618874224493979142424697273507383780450516200635656141982152039704814258092482878786160671186402726491959361844831668265079957723719621378376082392004466805458288508920966587402092551520853371132594911305395853531816007915915265755459536028633895651400814778646049933929901069184006084037970484854044194636922835318431574874798256010592967628456769000404000891908993950052868341565864150376115152690961237660701190093968191986033964797416440155166472667095656936282608344881772069769208764234017492789341508844895267107309007839485616063109685495361232098287034604237618855289098183863408889194341328262727149394064314376294472176729426655547307155181150691789840727335735420792375365200335646109763949886427872534332970356674384298928258100290329581197965616185061113005937401758301562373486959341384669051455014778225342486397868317429710051730421789058974394526333430113867158251049031212278779456907512787880413738627651851973224941765359032794270332182276200501737648793169795620971340370556813638487015628393870205841856333278886135060079525944818704498032252137060402933333897409509615658821697297312846190396015996775952660221322343733292469458903765767522718217808712963842225158486382168963983392775928520632490455126879878910889356093114165722122923950156548706778621439572956957882693498930646679129561517038275131526584321795332930846334865959835319807892396285289272773959532723268571053618044390772810193501086407907439675770800816420455244397199889017063949681931561121181047291585572724963106036833030962128480076248843407806262014544731833473310217099345814988228985538715985725168883487038022490830022404750498249138707388220473067130734910862426582027789261416733128444471742334132032485088530812482176436207737872544461351031386803539728431723922581376362975213189890361737346756746553873098270148512847433247546427095331247271804251265067158997537983654986982810511482807441075607642532046691484109025469639679224873547209262628820099894550055300038089021584315936964615224603026001811978411224774225460070115035903057650807947487677231799067719175523152921217303342097239003341816478578802775806355516094924210910828738341402046351597625639903886538039026128391619065019542978842076134833705656655395217778780506085002914608471355012094731698241307819948613305784346762293968864227011345086167269422890898577446578435078661082023014010107959214534252253884741014955757716062517321247569617810396745961051710393505179814058484748399563341027768182495882441793299648662705878132367100284722257867170960696746270950412099629950024696554493984928504192825766012036221312482460371451012522489517570324223224530353678873245158737377263882655768363643754495207213470409274157807465108538349760262364346104708941767520368330292826682036554311301101738423255149423423827190852976512454388685708117427247991881814940488157181018193909777574419915931535183420130971781220722844533390728675084213126769085004044557062485124019467858518145170800017594749024770375633316643502978761632453088471780297555159366923588194669447700667498981120230876593235350321889726584990180433140597598605334535299426455779364329667674966833808127685783646784963}
23092  29167605426768346172274356046374735310095905355355500921358146251279149489726: {115435,138522,253891,646268,668827,876698,923240,1038645,1107888,1221067,1246374,1429658,1568828,1634491,1705922,2047267,2674844,2809538,2859068,3007891,3360482,3418507,3635738,4243592,4331708,4374091,4460642,4498845,4774041,4798768,5326147,5329401,5349224,5398614,5434844,5461867,5618588,5832602,6017877,6169628,6344525,6409891,6536828,7613430,7913353,8026867,8120992,8662664,8697547,9099091,9136116,9202137,9745497,10166707,10470338,10719645,10831627,10868744,10954925,11137497,11304790,11434288,11664188,11692941,11759491,12227337,12863574,12908762,13145910,13258925,13565748,13722485,13853948,13988762,14022304,14039277,14258402,14457993,14783347,14861445,15273992,15288117,15305347,15311228,15696091,15775092,15852208,15873218,15910710,16149700,16466982,16490045,16584668,16605307,16713425,16946882,16971424,17085237,17183241,17833734,18026947,18284491,18560885,19087298,19092852,19183627,19308188,19379640,19534361,19603550,19788054,19838301,19887578,20056110,20671616,20678541,20757788,20767592,20804217,20938844,21393184,21467929,21560165,21733147,21802095,22273062,22338357,22366027,22492387,23071000,23132085,23255568,23363541,23374891,23524260,23605082,23617025,24067332,24094565,24398018,24662042,24674224,24733628,24766925,25092544,25197045,25274588,25477985,25503427,25631277,25635068,25872198,25876891,25954875,26162514,26515550,26869627,26876848,27278797,27294362,27340904,27685200,27758502,27906230,28104067,28133061,28229112,28334588,28340430,28718587,28866842,28913478,29162045,29382262,29489901,29530880,29720310,30181613,30229792,30236454,30513425,30551347,30573582,30668348,30668470,30691529,30758517,31145850,31564508,31701664,31736258,31743644,31757751,31818660,32005891,32247307,32802824,32849587,33060965,33222240,33245277,33311585,33354428,33487476,33809491,33939904,34008516,34309401,34407091,34426844,34994454,35104922,35107025,35319644,35437056,35664372,36033308,36136538,36268661,36427821,36543547,36616110,36802164,36903177,37102844,37375020,37993244,38086773,38161977,38182392,38416294,38773387,38969710,39057184,39673158,39704491,39858637,39866688,39973902,40284091,40515427,40659644,40709913,40750298,40844525,41207707,41511944,41514722,41773333,41974660,42128430,42212157,42241267,42256028,42597992,42715085,42785882,42932134,42955191,42973917,43116590,43496587,43723891,43812100,43939332,44053442,44290891,44630227,44850024,44936992,45081667,45430925,45821978,46164118,46205227,46325978,46333221,46700937,46763652,46764307,46829402,46884365,47029628,47229950,47420021,47538365,47834522,47922741,48085442,48430747,48541267,49013430,49102184,49319708,49587938,49642507,49723828,49861891,50199068,50369592,50456277,50502597,50554116,50586722,50647441,50877321,51159425,51258102,51739908,51955388,51961462,52256107,52280992,52364107,52574520,52585197,52832348,52962117,53440147,53816858,53818773,54517110,54552862,54558818,54583868,54880420,54934507,55040707,55239957,55633244,56041845,56079488,56261238,56285018,56439177,56665791,56675940,56776922,56796065,56940910,57046038,57554108,57567907,57742184,57880891,58077308,58151584,58712347,58793037,58816116,59146335,59529965,59642227,59676190,59745187,59777968,59963800,60454336,60707765,60943445,60975091,61021550,61331620,61377734,61391310,61905308,61907138,62109213,62295787,62601425,63089424,63123464,63472445,63704467,64327778,64333244,64503091,64959957,64998661,65271944,65297107,65420532,65484064,65489541,65791027,65856504,65948740,66013658,66063644,66386841,66970617,67250214,67453078,67453082,67459275,67911950,68011128,68155278,68329092,68648642,68797813,69101947,69125858,69198067,69534357,70347485,70536187,70633064,70975602,71013897,71028962,71034040,71063708,71105347,71294491,71325982,71435958,71587221,71611428,71766091,71956560,72048187,72094844,72266588,72450242,72686618,72849318,73132134,73225860,73356067,73430937,73597944,73669572,73810844,73819747,74088567,74230660,74428341,74557891,74690165,75016891,75121710,75291427,75545113,75746402,76166934,76378844,76470045,76512519,76564027,76654387,76753664,76825924,77385993,77554027,77733091,77932660,78107584,78123892,78357547,78400600,79138488,79215261,79307345,79462197,79507589,79710938,79726925,79913295,80122267,80129824,80246792,80256065,80646067,80850869,80951130,81312104,81494340,81513307,81568048,81792962,81858187,82116091,82342844,82484378,82544491,82797687,83334713,83361308,83539414,84163685,84416982,84504584,85240848,85251700,85313417,85465538,85711054,85741507,86033885,86106597,86154427,86319091,86347872,86409788,86419289,86729491,86927296,87046701,87138091,87616600,87742178,87763821,87848457,87871032,88098908,88200675,89030799,89076792,89110844,89327258,89628198,89690165,89710507,89778842,90105787,90112477,90121628,90146052,90277641,90455138,90499267,91125091,91476117,91764054,92028122,92282541,92320228,92357045,92439667,92475644,92638797,92643548,92669491,92855230,92898667,93482588,93519192,93948701,94080720,94335067,94409947,94763085,94930658,95067657,95134875,95168814,95542733,95672310,95895954,95994908,96307278,96361540,96496508,96550147,96836945,96985387,97141356,97146818,97367642,97633387,97793208,97979885,98249498,98282590,98568675,98689562,98854911,99099341,99612091,...,3366947261669092634849116666171047570784580349967873708728070304480348576697040980229753526500167434603577916183049405722301310479161804916923916694082752129274376429152646214092539814124637202420575186200996613779559649459343043704551782186499749974113539531521601502524522994973387718671471197541728607407975622307425200980244136309847637339264603749119640069424838638043115912262077055982102138704460422323377120890181921464001854986962722593842201230331786535822734111361217600381827590576047938631814208773207384431491832299325305523232929698009845040600688267514208189309536052939752344123310505048214228248536968655945815793108891020106610298292828504501443189339289073944384678561288783202790068694471161510126548407194471375754677221220354340612714704845194201867753038194733245239868092245341445383960646472058926182563780424575433166397674680790623504609025333872001189211991933403824455421152200501486870254614983547601586791957589314711953063221920206888630222794209248376811126509029426358945018978689990385788678459860356143078677119314154750812913993814976131049379472316825140385464245151211852259121771016969532525419085835059296235639235540729742873574867589053120969780980561056500486933780861479685266515237163379110627142232512398571010800387106108263954154913414817341249869011068749831315945788512892068606686370967123315197157756572946735640562385411965859368444573485156211001398708283038372609210017050507218318170202469297633255687145377059027109576368267335650198390893060827961787160742418184649354171191826941122475111038514846746772701259758272664043002849413870577778529879346154211762263063083794920528021329034603546961763124977723292611871687690030290957078283951789633544648509558618644523701238027509987273502506505214519141457485554296163898600208731609038161919430609277176924665240862238839415356051033508702112429060443907795113154613113759743856528380385697031946043631024761404824059187697080258001448543876586234361067755227273659196266518689418599575908748161574729722114096966617474715777374616171306768331791210408349352726309111297746956132461086650971980718287980966891844649384029987773363206333997665518276517627297422840979881149902109370385681888977504592628989778842709980118041083309568581610317163392615134708515738052971242298563441835150633617586520482316462342328738497464360198017129910996728569460441663029072335020089545330050644873315977080681977076588100810190042728921978812033959519572299831396279016838426799859400073733384118695445754582619486966137368002415971214966365633946760153381204076867743929983569642398756958900697537228289737789462985337789088638105070367741807354793232281214438317788536061802130167519871848717385368171188825420026057305122768179778274208873860290371707341446670552811295140016126308930988410426598151074379129016391958485636015126781556359230521198103262104580104881442697352013477278952712336338512988019941010288083356428330092823747195661281402280524673573085411312997866084454703690909994509922391066198216941170843156133712963010489561280928995027933882799506600032928739325313238005590434354682714961749976613828601350029986023427098964299373804905164326878316503018510207691151525005993609617960545698877076620144717799680349819128139611922356693824440390435576048739081734802317897673532564565102921137302016605851580944156569663989175753253984209574690925213036765893221242046911226841295708294297126044520971566778950835692113338726076083313498692623811357526894400023459665366360500844422191337305015509937451295707063406879155898117592892596934223331974826974502124313800429186302113320240577520796798140446047065901941039152439556899955778410836914378195713284}
23093  29272139681004046595408948602441050931636857621670740374625691747791497624036: {184696,207783,807835,969402,1154050,1315047,1384860,1477184,1661832,1869561,1961035,2144487,2353242,2558883,2791591,3343555,3573835,3713143,4012266,4198922,4214307,4288602,4680571,4820167,5040723,5096923,5304490,5414635,5453607,5833927,5998460,6365388,6497562,6664051,6686530,6690963,6793555,6894043,7023235,7105868,7198152,7353907,7447411,7579831,7712035,8023836,8097921,8152266,8171035,8427882,8625562,8748903,9013723,9254442,9510151,9805242,10005002,10151240,10391491,10828330,10897447,11391146,11420145,11666842,12181488,12269516,12279787,12993996,13326946,13364743,13425907,13585930,13704174,13870682,14292860,14491531,14580235,14849996,15368347,15447091,15590588,15705507,15865603,16303116,16426807,16644266,16957185,17151432,17317435,17496282,17527880,17657107,17971591,18087664,18171643,18400171,18719036,19092490,19139035,19277324,19295361,19363143,19718865,19815260,19989607,20187125,20348622,20384156,20563111,20730835,20780922,20781178,20983143,21033456,21214280,21387603,21589946,21716347,21955976,22165442,22510147,22773703,22780316,22910988,22966842,23086051,23182147,23517242,23662638,23778312,23809827,23866065,23923291,24135235,24224550,24700473,24707971,24877002,25420323,25457136,25839520,25947235,25959490,26173555,26384072,26451068,26741480,26750601,26849482,27142298,27544627,27571388,27738956,28057723,28546723,28630947,28639278,28702471,28707187,28838750,28962282,29069460,29259691,29405325,29682081,29697416,29784476,29831367,29881258,30084165,30734026,30842780,30917035,31007424,31031047,31136682,31151388,31225927,31365680,31372171,31408266,31593235,31955443,32043835,32089776,32443123,33409593,33596060,34175036,34176130,34496264,34606500,34883352,35079847,35286390,35367907,35407623,35418235,35447623,36100998,36322951,36504962,36597027,36797146,36913600,36993063,37011336,37100442,37273243,37510748,37629386,37638816,37787240,37911882,38335435,38452602,38551304,38681491,38808297,39243771,39319868,39455635,39627080,39679555,39773325,40085162,40225723,40315272,40692307,40764776,40861483,40941543,41003530,41011356,41483842,41527800,41637753,41693035,41859345,42072487,42343668,42424880,42501882,42510645,42964411,43033555,43300263,43370217,43428922,44073393,44085187,44111923,44149555,44261738,44296320,44327036,44580465,44649968,45041635,45108883,45344688,45354681,45595891,45745868,45860373,46002522,46002705,46378555,46489063,46659272,46718775,47249408,47342587,47346762,47491555,47552496,47604387,47615466,47727990,48570428,48821480,49069552,49204236,49297267,49771402,49833360,50031642,50231214,50524411,50782364,50824555,50882636,50909856,51012774,51252763,51517843,51640266,51889930,52305722,52468325,52491681,52657383,52820035,52897544,52979466,53083591,53155584,53247490,53290627,53298536,53339498,53496558,54049962,54078442,54200131,54204807,54279884,54743938,54765125,54924165,55203246,55233031,55529242,55620067,55654266,56062530,56073127,56171240,56282876,56511943,56989866,57105127,57112951,57273588,57275563,57298556,57563227,57566707,57624441,58454565,58585776,58787035,59509737,59705011,59800032,59960853,60989466,61125447,61363322,61377730,61649635,61777628,61803931,62154785,62267916,62272083,62351536,62748835,62961990,63020546,63192645,63382507,63384042,63896988,64178823,64398201,64674885,64944235,65351240,65718150,65908998,66040435,66080163,67016503,67159456,67258627,67275036,67336796,67405488,67439203,67836428,67999591,68229835,68344136,68584507,68600525,68732967,68986544,69024986,69150202,69246177,69488967,69541555,70099360,70113596,70145478,70215943,70244103,70544442,70550083,70616156,70844925,71148091,71372042,71751783,71758364,71890891,71942635,72128163,72177730,72596635,72683911,72689480,73221002,73520145,73653276,73941511,73979562,74381907,74409547,74585742,74722460,74954750,75014984,75252236,75275587,75298602,75554388,75567920,75831174,75880083,76061384,76664525,76887153,77381635,77392891,77609862,77933082,77942193,78011323,78390716,78393667,78421488,78550267,78716266,78820363,78861780,78889282,78904330,79248522,79770067,80416555,80725287,81577123,81589930,81775665,81829293,81838227,81855080,81875802,82320630,82435925,82579555,82679827,82812284,82836391,83449866,83791987,84119232,84391857,84427527,84476971,85013910,85165383,85411365,85569057,85628611,85878343,86331162,86613276,86635723,86795683,87115962,87184042,87227376,87319388,87808672,87871747,88216162,88224174,88291330,88445546,88515788,88653562,88792550,88829635,89294156,89514285,89578663,89666952,89945700,90118555,90184138,90333235,90681504,90873704,91105456,91532325,91997430,92055067,92066601,92086965,92263555,92712476,92788325,92857962,92860707,93175027,93563522,94634136,94685196,95112746,95247944,95449628,95473555,95481904,95512922,95630887,95924683,95942080,96032405,96137707,96192007,96491667,96499866,97043611,97132424,97415825,97509512,97634480,97654865,97895546,97907916,98000750,98130592,98130798,98226096,98784756,98893027,98923110,99020487,99095466,99237788,99444091,...,5050420892503638952273674999256571356176870524951810563092105456720522865045561470344630289750251151905366874274574108583451965718742707375385875041124128193911564643728969321138809721186955803630862779301494920669339474189014565556827673279749624961170309297282402253786784492460081578007206796312592911111963433461137801470366204464771456008896905623679460104137257957064673868393115583973153208056690633485065681335272882196002782480444083890763301845497679803734101167041826400572741385864071907947721313159811076647237748448987958284849394547014767560901032401271312283964304079409628516184965757572321342372805452983918723689663336530159915447439242756752164784008933610916577017841933174804185103041706742265189822610791707063632015831830531510919072057267791302801629557292099867859802138368012168075940969708088389273845670636863149749596512021185935256913538000808001783817987900105736683131728300752230305381922475321402380187936383972067929594832880310332945334191313872565216689763544139538417528468034985578683017689790534214618015678971232126219370990722464196574069208475237710578196367726817778388682656525454298788128628752588944353458853311094614310362301383579681454671470841584750730400671292219527899772855745068665940713348768597856516200580659162395931232370122226011874803516603124746973918682769338102910029556450684972795736634859420103460843578117948789052666860227734316502098062424557558913815025575760827477255303703946449883530718065588540664364552401003475297586339591241942680741113627276974031256787740411683712666557772270120159051889637408996064504274120805866667794819019231317643394594625692380792031993551905320442644687466584938917807531535045436435617425927684450316972764337927966785551857041264980910253759757821778712186228331444245847900313097413557242879145913915765386997861293358259123034076550263053168643590665861692669731919670639615784792570578545547919065446537142107236088781545620387002172815814879351541601632840910488794399778034127899363863122242362094583171145449926212073666061924256960152497686815612524029089463666946620434198691629976457971077431971450337766974076044981660044809500996498277414776440946134261469821724853164055578522833466256888943484668264064970177061624964352872415475745088922702062773607079456863447845162752725950426379780723474693513493107746196540297025694866495092854190662494543608502530134317995075967309973965621022965614882151215285064093382968218050939279358449747094418525257640199789100110600076178043168631873929230449206052003623956822449548450920140230071806115301615894975354463598135438351046305842434606684194478006683632957157605551612711032189848421821657476682804092703195251279807773076078052256783238130039085957684152269667411313310790435557561012170005829216942710024189463396482615639897226611568693524587937728454022690172334538845781797154893156870157322164046028020215918429068504507769482029911515432125034642495139235620793491922103420787010359628116969496799126682055536364991764883586599297325411756264734200569444515734341921393492541900824199259900049393108987969857008385651532024072442624964920742902025044979035140648446449060707357746490317474754527765311536727287508990414426940818548315614930217076699520524728692209417883535040736660585653364073108622602203476846510298846847654381705953024908777371416234854495983763629880976314362036387819555148839831863070366840261943562441445689066781457350168426253538170008089114124970248038935717036290341600035189498049540751266633287005957523264906176943560595110318733847176389338895401334997962240461753186470700643779453169980360866281195197210669070598852911558728659335349933667616255371567293569926}
23094  29377046112512858769293286721157151238489231607413256581404294383426820508177: {161609,230870,277044,300053,507782,530633,714953,853109,945173,1221173,1292536,1337654,1454103,1542809,1680533,1731075,1753396,1846480,1909913,2077290,2215776,2322293,2442134,2492748,2859316,3008153,3137656,3268982,3411844,3464393,3529863,3601109,3965333,4094534,4419893,5100233,5326613,5349688,5507573,5619076,5718136,6015782,6018399,6298383,6320309,6432903,6455513,6720964,6837014,6995609,7085513,7220309,7271476,7498075,7956735,8027573,8340809,8474933,8487184,8663416,8748182,8882335,8921284,8997690,9010709,9548082,9597536,9746343,10029795,10034393,10345109,10652294,10658802,10698448,10797228,10869688,10923734,11237176,11665204,11760533,11804633,12035754,12228399,12339256,12641823,12684953,12689050,12819782,12938343,13073656,13343093,13780853,13881663,14392373,14523209,14653973,14707863,14828213,15007503,15226860,15336895,15826706,16053734,16241984,16242495,16260809,16779593,17086719,17325328,17395094,17500263,17555609,17866075,18071513,18198182,18272232,18286133,18329033,18404274,18562495,19211479,19488235,19490994,19990419,20333414,20378895,20556261,20761109,20806023,20845973,20940676,20973209,21439290,21481433,21663254,21735113,21737488,21909850,22274994,22536533,22609580,22746953,22868576,23086063,23328376,23385882,23398795,23418953,23518982,24005273,24096655,24130709,24256073,24454674,24548309,24769075,24966399,25256393,25480195,25727148,25817524,25985239,26244423,26291820,26293493,26517850,26541653,26748233,26913353,27131496,27444970,27707896,27860309,27977524,28044608,28078554,28147673,28475395,28475609,28516804,28638735,28762133,28884809,28915986,29566694,29700809,29722890,29985653,30184231,30522933,30547984,30576234,30610694,30622456,31040213,31171383,31171767,31323209,31392182,31550184,31704416,31746436,31821420,32008853,32049113,32250293,32299400,32384919,32933964,32980090,33012953,33063835,33169336,33210614,33248163,33426850,33732391,33812633,33893764,33942848,34170474,34366482,34410293,34450263,34464235,34529609,34648853,34673695,34926809,35275863,35493957,35667468,35669179,36053894,36231893,36271807,36310709,36336825,36568982,37121770,37230595,37293209,37315503,37410773,37880309,38174596,38185704,38367254,38543513,38553475,38616376,38759280,38939235,39068722,39207100,39243209,39576108,39630809,39676602,39746933,39775156,40112220,40274223,40287893,40403609,40713447,40826863,40865753,41249993,41343232,41357082,41515576,41535184,41608434,41671733,41877688,41939609,41995075,42054293,42702809,42718795,42786368,42862963,42935858,42958917,43120330,43258125,43386953,43443423,43466294,43604190,43728053,43765913,44295113,44332853,44546124,44672153,44676714,44732054,44821887,44984774,46097609,46101039,46142000,46264170,46285351,46358933,46511136,46636219,46657109,46705023,46727082,46749782,46888435,47048520,47112399,47210164,47234050,47585609,48134664,48189130,48582773,48693209,48766793,48796036,49149835,49244309,49324084,49348448,49467256,49533850,50185088,50394090,50549176,50886809,50955970,51006854,51262554,51264195,51270136,51744396,51753782,51909750,52044953,52261193,52325028,52405193,52929585,52998847,53031100,53588309,53739254,53753696,54151497,54407753,54557594,54588724,54681808,54757443,54762713,54833609,55195719,55370400,55408795,55517004,55650663,55787573,55812460,55998773,56041843,56208134,56244809,56266122,56444079,56458224,56669176,56680860,56770709,56867823,57182335,57399413,57437174,57678903,57733684,57826956,57886613,58324090,58764524,58856309,58979802,59061760,59440620,59785433,59801119,60127743,60363226,60459584,60472908,60674633,60713035,61026850,61102694,61147164,61336696,61336940,61383058,61505295,61517034,61693913,62225763,62291700,62335733,63108809,63129016,63343253,63403328,63472516,63477955,63487288,63515502,63603295,63637320,63710873,63752823,64011782,64494614,64509593,64542773,65143383,65336693,65605648,65638111,65699174,65830553,66027593,66121930,66392607,66444480,66490554,66553711,66623170,66708856,66974952,67073609,67171253,67496213,67618982,67849855,67879808,68017032,68434073,68618802,68755913,68814182,68852309,68853688,69003783,69237173,69988908,70067093,70209844,70214050,70353595,70448309,70543433,70639288,70670153,70765109,70874112,71020143,71301833,71328744,71333333,71396309,71423199,71591985,71616473,71623195,72066616,72273076,72537322,72711413,72855642,73087094,73208693,73232220,73604328,73642133,73806354,74205688,74289353,74565653,74657103,74750040,75024713,75047463,75329753,75346821,75986488,76173546,76323954,76364784,76481609,76519161,76572053,76692533,76832588,77222035,77233109,77460399,77546774,77771093,77834895,77939420,78114368,78458583,79016309,79346316,79408982,79469199,79514491,79717274,79733376,79871235,79947804,80009247,80244837,80568182,80770709,81030854,81074943,81117663,81319288,81349109,81419826,81500596,81689050,81723353,82115907,82415414,82581833,82804869,83023888,83029444,83065109,83293863,83341951,83481399,83546666,83771609,83949320,84093795,84170995,84256860,84424314,84482534,84512056,84795535,84947273,84990871,85195984,85320823,85430170,85484799,85571764,85585109,85667993,85778393,85864268,85910382,85947834,86233180,86426791,86766233,86993174,87447782,87581513,87624200,87635609,87641995,87716693,87878664,88106884,88270195,88581782,88630613,88764233,88844309,88861423,89190473,89260454,89697955,89700048,89825993,89873984,90036809,90115733,90163334,90861850,91135193,91484199,91524053,91643956,91859609,91936853,92044983,92066595,92328236,92410454,92651956,92666442,92679833,93401874,93403075,93441353,93527304,93528614,93658804,93768730,94059256,94065295,94345673,94442985,94459900,94530819,94719413,94840042,94893209,95076063,95076730,95313653,95387609,95551027,95669044,95707253,95845482,96001109,96170884,96415433,96861494,97020533,97082534,97988395,98026860,98204368,98239433,98486479,98570393,98577225,98639416,98863497,99063893,99157493,99175876,99274313,99285014,99344309,99447656,99646793,99723782,...,7575631338755458428410512498884857034265305787427715844638158185080784297568342205516945434625376727858050311411861162875177948578114061063078812561686192290867346965593453981708214581780433705446294168952242381004009211283521848335241509919624437441755463945923603380680176738690122367010810194468889366667945150191706702205549306697157184013345358435519190156205886935597010802589673375959729812085035950227598522002909323294004173720666125836144952768246519705601151750562739600859112078796107861921581969739716614970856622673481937427274091820522151341351548601906968425946456119114442774277448636358482013559208179475878085534495004795239873171158864135128247176013400416374865526762899762206277654562560113397784733916187560595448023747745797266378608085901686954202444335938149801789703207552018252113911454562132583910768505955294724624394768031778902885370307001212002675726981850158605024697592451128345458072883712982103570281904575958101894392249320465499418001286970808847825034645316209307626292702052478368024526534685801321927023518456848189329056486083696294861103812712856565867294551590226667583023984788181448182192943128883416530188279966641921465543452075369522182007206262377126095601006938329291849659283617602998911070023152896784774300870988743593896848555183339017812205274904687120460878024154007154365044334676027459193604952289130155191265367176923183579000290341601474753147093636836338370722538363641241215882955555919674825296077098382810996546828601505212946379509386862914021111670440915461046885181610617525568999836658405180238577834456113494096756411181208800001692228528846976465091891938538571188047990327857980663967031199877408376711297302568154653426138891526675475459146506891950178327785561897471365380639636732668068279342497166368771850469646120335864318718870873648080496791940037388684551114825394579752965385998792539004597879505959423677188855867818321878598169805713160854133172318430580503259223722319027312402449261365733191599667051191849045794683363543141874756718174889318110499092886385440228746530223418786043634195500419930651298037444964686956616147957175506650461114067472490067214251494747416122164661419201392204732587279746083367784250199385333415227002396097455265592437446529308623213617633384053094160410619185295171767744129088925639569671085212040270239661619294810445538542299742639281285993741815412753795201476992613950964960948431534448422323226822927596140074452327076408919037674620641627787886460299683650165900114267064752947810893845673809078005435935233674322676380210345107709172952423842463031695397203157526569458763651910026291717010025449435736408327419066548284772632732486215024206139054792876919711659614117078385174857195058628936526228404501116969966185653336341518255008743825414065036284195094723923459845839917353040286881906592681034035258501808268672695732339735305235983246069042030323877643602756761654223044867273148187551963742708853431190237883155131180515539442175454245198690023083304547487647325379898945988117634397101300854166773601512882090238812851236298889850074089663481954785512578477298036108663937447381114353037567468552710972669673591061036619735476212131791647967305090931263485621640411227822473422395325615049280787093038314126825302561104990878480046109662933903305215269765448270271481572558929537363166057124352281743975645444821464471543054581729332723259747794605550260392915343662168533600172186025252639380307255012133671187455372058403575554435512400052784247074311126899949930508936284897359265415340892665478100770764584008343102002496943360692629779706050965669179754970541299421792795816003605898279367338092989003024900501424383057350940354889}
23095  29482326037646159713947084632801060106919824245203017435381043244131318810363: {346305,369392,415566,761673,1130969,1615670,1938804,2006481,2191745,2308100,2630094,2745449,2769720,2954368,3115935,3299153,3323664,3574145,3663201,3739122,3922070,4264805,4288974,4680977,4706484,4903473,5003369,5117766,5583182,5696561,6141801,6687110,6894641,7023845,7147670,7426286,7448057,7580489,7861073,8024532,8323577,8397844,8401205,8428614,8577204,8690981,9023673,9089345,9361142,9510977,9640334,9832529,10074161,10081446,10193846,10255521,10608980,10796849,10829270,10898393,10907214,11151605,11439449,11667854,11996920,12280853,12730776,12878801,12995124,13122273,13328102,13373060,13381926,13496535,13587110,13788086,14046470,14211736,14322123,14396304,14492789,14581505,14707814,14894822,15159662,15424070,15866981,15978441,15988203,16047672,16195842,16196417,16304532,16342070,16385601,16428233,16855764,16963529,17251124,17497806,18027446,18053631,18255653,18477833,18508884,19020302,19033575,19229673,19610484,20010004,20302480,20412329,20564897,20782982,21239153,21656660,21794894,22775681,22782292,22840290,23333684,23624081,23740059,23868629,24080601,24244409,24362976,24539032,24559574,24710117,25802057,25987992,26092641,26175845,26209529,26411969,26602901,26653892,26729486,26794649,26851814,27171860,27297273,27408348,27606411,27741364,28261975,28585720,28983062,29023169,29160470,29236491,29699992,30500121,30686993,30736694,30894182,31181176,31411014,31515749,31731206,31905161,32158935,32271905,32284433,32494881,32552741,32606232,32853614,32864775,33288532,33412491,33535769,33789329,33914370,34302864,34634870,34916789,34971905,34992564,35055760,35078823,35278473,35314214,35646005,35943182,36175328,36259961,36326129,36343286,36642977,36682011,36800342,37438072,37807073,38184980,38278070,38554648,38590722,38726286,39437730,39630520,39683045,39776775,39979214,40016129,40374250,40568393,40697244,40768312,41097353,41126222,41167455,41458001,41461670,41561844,41562356,41778281,41966286,42066912,42117831,42367205,42428560,42775206,43179892,43283849,43373979,43432694,43498673,43911952,44230529,44330884,44350041,44584335,44861369,44958161,45020294,45547406,45560632,45821976,45864351,45916041,45933684,46172102,46364294,47034484,47088273,47325276,47556624,47619654,47718245,47732130,47846582,48270470,48449100,48676181,49008875,49301561,49400946,49415942,49470135,49585529,49718945,49754004,49815921,50140275,50607593,50840646,50914272,51255711,51549723,51679040,51894470,51918980,52347110,52768144,52902136,53482960,53501202,53669609,53698964,53886053,54080841,54284596,54853473,55089254,55142776,55237889,55477912,55551377,55682655,56078033,56115446,57093446,57261894,57278556,57404942,57414374,57505493,57550881,57568241,57677500,57924564,58138920,58333241,58370249,58519382,58603083,58810650,59012705,59364162,59394832,59514903,59568952,59662734,59762516,60168330,60246977,60576617,60995045,61176149,61468052,61655105,61685560,61809377,61834070,62014848,62035623,62062094,62273364,62302776,62412651,62451854,62731360,62735153,62744342,62816532,63058289,63186470,63910886,64087670,64179552,64403787,64680495,64886246,64929977,65199441,65406285,66268241,66288875,66488177,66819186,67015071,67098081,67192120,67477161,68033381,68235905,68350072,68352260,68590481,68992528,69213000,69396255,69492929,69765575,69766704,70090623,70124673,70159694,70572780,70735814,70815246,70836470,70851075,70895246,71154377,71897153,72167105,72201996,72283695,72645902,73009924,73194054,73314473,73455655,73594292,73827200,73948049,73986126,74022672,74200884,74300775,74546486,75021496,75258772,75277632,75574480,75591135,75823764,76433955,76510281,76670870,76671175,76893831,76905204,76917929,77102608,77362982,77616594,77630673,77864625,78039281,78487542,78639736,78911270,79254160,79340645,79359110,79546650,79604633,80170324,80363153,80451446,80608881,80630544,81384614,81529552,81722966,81836391,81883086,82007060,82022712,82301849,82407029,82967684,83055600,83275506,83386070,83718690,84144974,84312201,84399183,84687336,84849760,85003764,85021290,85482533,85928822,86067110,86155761,86309489,86497937,86600526,86740434,86857844,87016699,87486135,87762305,87848369,87879401,88146786,88170374,88223846,88299110,88469703,88523476,88592640,88654072,89160930,89299936,90083270,90217766,90302969,90341345,90544839,90689376,90709362,90921929,91191782,91491736,91540275,91654041,91708529,91720746,92005044,92005410,92074587,92275551,92456609,92647061,92757110,92978126,93318544,93437550,94498816,94685174,94693524,94983110,95104992,95208774,95230932,95273253,95455980,95521769,96017673,96040735,96146081,96741921,96828161,97140856,97358177,97424275,97642960,97897553,98139104,98408472,98548761,98594534,98901641,99182895,99452753,99542804,99666720,99735831,99934755,...,10100841785007277904547349998513142712353741049903621126184210913441045730091122940689260579500502303810733748549148217166903931437485414750771750082248256387823129287457938642277619442373911607261725558602989841338678948378029131113655346559499249922340618594564804507573568984920163156014413592625185822223926866922275602940732408929542912017793811247358920208274515914129347736786231167946306416113381266970131362670545764392005564960888167781526603690995359607468202334083652801145482771728143815895442626319622153294475496897975916569698789094029535121802064802542624567928608158819257032369931515144642684745610905967837447379326673060319830894878485513504329568017867221833154035683866349608370206083413484530379645221583414127264031663661063021838144114535582605603259114584199735719604276736024336151881939416176778547691341273726299499193024042371870513827076001616003567635975800211473366263456601504460610763844950642804760375872767944135859189665760620665890668382627745130433379527088279076835056936069971157366035379581068429236031357942464252438741981444928393148138416950475421156392735453635556777365313050908597576257257505177888706917706622189228620724602767159362909342941683169501460801342584439055799545711490137331881426697537195713032401161318324791862464740244452023749607033206249493947837365538676205820059112901369945591473269718840206921687156235897578105333720455468633004196124849115117827630051151521654954510607407892899767061436131177081328729104802006950595172679182483885361482227254553948062513575480823367425333115544540240318103779274817992129008548241611733335589638038462635286789189251384761584063987103810640885289374933169877835615063070090872871234851855368900633945528675855933571103714082529961820507519515643557424372456662888491695800626194827114485758291827831530773995722586716518246068153100526106337287181331723385339463839341279231569585141157091095838130893074284214472177563091240774004345631629758703083203265681820977588799556068255798727726244484724189166342290899852424147332123848513920304995373631225048058178927333893240868397383259952915942154863942900675533948152089963320089619001992996554829552881892268522939643449706328111157045666932513777886969336528129940354123249928705744830951490177845404125547214158913726895690325505451900852759561446949387026986215492393080594051389732990185708381324989087217005060268635990151934619947931242045931229764302430570128186765936436101878558716899494188837050515280399578200221200152356086337263747858460898412104007247913644899096901840280460143612230603231789950708927196270876702092611684869213368388956013367265914315211103225422064379696843643314953365608185406390502559615546152156104513566476260078171915368304539334822626621580871115122024340011658433885420048378926792965231279794453223137387049175875456908045380344669077691563594309786313740314644328092056040431836858137009015538964059823030864250069284990278471241586983844206841574020719256233938993598253364111072729983529767173198594650823512529468401138889031468683842786985083801648398519800098786217975939714016771303064048144885249929841485804050089958070281296892898121414715492980634949509055530623073454575017980828853881637096631229860434153399041049457384418835767070081473321171306728146217245204406953693020597693695308763411906049817554742832469708991967527259761952628724072775639110297679663726140733680523887124882891378133562914700336852507076340016178228249940496077871434072580683200070378996099081502533266574011915046529812353887121190220637467694352778677790802669995924480923506372941401287558906339960721732562390394421338141197705823117457318670699867335232510743134587139852}
23096  29587980777380436371861729660061130320751818421468945901463167707448448902912: {323218,461740,554088,600106,623349,853183,991279,1015564,1061266,1429906,1542943,1706218,1818343,1890346,2368279,2423505,2442346,2585072,2675308,2885125,2908206,3085618,3361066,3462150,3506792,3692960,3819826,3945141,4154580,4431552,4644586,4884268,4985496,5608683,5718632,5883105,6016306,6275312,6433461,6537964,6823688,6928786,7059726,7131079,7202218,7676649,7930666,8189068,8374773,8609743,8839786,9011503,10030665,10200466,10346023,10497305,10653226,10699376,10721505,11015146,11139429,11238152,11436272,11805679,12031564,12036798,12334303,12435269,12596766,12640618,12642921,12865806,12911026,13261225,13441928,13674028,13782079,13991218,14041713,14171026,14437279,14440618,14460501,14542952,14996150,15122169,15290769,15913470,16055146,16243905,16262263,16360821,16681618,16716325,16949866,16974368,17326832,17496364,17501781,17764670,17842568,17995380,18021418,18330679,19096164,19195072,19492686,19992153,20059590,20068786,20072889,20125423,20380665,20682129,20690218,20762983,21069705,21304588,21317604,21396896,21398743,21471653,21563905,21594456,21739376,21847468,22061721,22342233,22474352,22739493,22791079,23136105,23330408,23521066,23546863,23609266,24049279,24071508,24293763,24456798,24513105,24678512,25012505,25283646,25300279,25369906,25378100,25639564,25876686,25987493,26147312,26246709,26686186,27039583,27041169,27070825,27283529,27561706,27763326,27903943,28273303,28477865,28530453,28784746,29046418,29167105,29307946,29415726,29656426,30015006,30453720,30673790,30696853,30840679,31174473,31326103,31653412,32052079,32107468,32483968,32484990,32521618,32692341,32758313,33317365,33559186,33735317,33735943,33964825,33975343,34173438,34260435,34333903,34572583,34650656,34676705,34790188,35000526,35111218,35643079,35672273,35732150,36143026,36353503,36396364,36544464,36572266,36658066,36808548,36839361,37124990,37883863,38001079,38422958,38976470,38981988,39865553,39980838,40094229,40277721,40666828,40757790,40908079,41112522,41522218,41610665,41612046,41691946,41881352,41946418,42744943,42866681,42878580,42962866,43326508,43470226,43474593,43474976,43740705,43770079,43819700,44337079,44549988,44789383,45073066,45219160,45493906,45737152,46105041,46172126,46289369,46341273,46656752,46698823,46771764,46797590,46837906,47037964,47116521,47428249,47590183,47596809,47731225,48010546,48193310,48249929,48261418,48512146,48543173,48697903,48909348,49096618,49249063,49280421,49469023,49538150,49932798,50512786,50656229,50871555,50960390,51454296,51544279,51635048,51952305,51952945,51970478,52122833,52488846,52583640,52586986,52971321,53035700,53083306,53496466,53593543,53826706,53914773,53974865,54262992,54514929,54874423,54889940,55193023,55200513,55413605,55415792,55720618,55933903,55955048,56089216,56157108,56295346,56950790,56951218,57033608,57277470,57417105,57524266,57769618,57831972,57886083,58089429,58793105,59133388,59156595,59401618,59445780,59482279,59806313,59968821,59971306,60368462,60561375,61045866,61095968,61123303,61152468,61221388,61244912,61428943,61689333,62080426,62192505,62342766,62343534,62635001,62646418,62784364,62949429,63100368,63148663,63408832,63492872,63642840,64017706,64098226,64150543,64162809,64500586,64549279,64598800,64769838,64898725,65149041,65639863,65643809,65867928,65960180,66025906,66034279,66127670,66231269,66338672,66421228,66496326,66853700,67123705,67464782,67530441,67625266,67787528,67855745,67885696,68321109,68340948,68569903,68732964,68809769,68820586,68900526,68928470,69059218,69258153,69297706,69347390,69546441,69853618,70296823,70392079,70551726,70987914,71334936,71338358,71340679,71429481,71598195,71769873,71906383,72096875,72107788,72405705,72463786,72543614,72621418,72673650,73137964,73680679,74050903,74101419,74123913,74243540,74461190,74512063,74586418,74631006,74696023,74703145,74821546,75760618,76260969,76349192,76371408,76734508,76790863,76835065,77087026,77106950,77232752,77518560,77572313,77841705,77878470,78137444,78414200,78486418,78520665,79024663,79152216,79261618,79353204,79493866,79550312,80055269,80224440,80251803,80548446,80575786,80807218,81386623,81426894,81653726,81731506,82499986,82633881,82686464,82714164,83031152,83070368,83216868,83343466,83755376,83865079,83879218,83990150,84108586,84173169,84998249,85123279,85405618,85437590,85440325,85572736,85622023,85640169,85725926,85870423,85871716,85892841,85917834,85953079,86107413,86121561,86240660,86516250,86773906,86857543,86886846,86932588,87208380,87456106,87531826,87591079,87672223,87779073,88215975,88590226,88665706,88869137,89044613,89046243,89092248,89344306,89353428,89464108,89494101,89643774,89969548,90073063,90252495,90466903,91262405,91869823,91992865,92024263,92195218,92202078,92284000,92528340,92570702,92639143,92717866,92751105,93022272,93093141,93272438,93314218,93410046,93454164,93477079,93499564,93677781,93776870,94073465,94097040,94116513,94224798,94420328,94468100,94779705,94903903,94989797,95171218,95718079,95866329,96011983,96131505,96269328,96378260,97103863,97165546,97329369,97386418,97464223,97533586,97592072,98299670,98488618,98495033,98534503,98605279,98648168,98696896,98934512,99067700,99588583,...,15151262677510916856821024997769714068530611574855431689276316370161568595136684411033890869250753455716100622823722325750355897156228122126157625123372384581734693931186907963416429163560867410892588337904484762008018422567043696670483019839248874883510927891847206761360353477380244734021620388937778733335890300383413404411098613394314368026690716871038380312411773871194021605179346751919459624170071900455197044005818646588008347441332251672289905536493039411202303501125479201718224157592215723843163939479433229941713245346963874854548183641044302682703097203813936851892912238228885548554897272716964027118416358951756171068990009590479746342317728270256494352026800832749731053525799524412555309125120226795569467832375121190896047495491594532757216171803373908404888671876299603579406415104036504227822909124265167821537011910589449248789536063557805770740614002424005351453963700317210049395184902256690916145767425964207140563809151916203788784498640930998836002573941617695650069290632418615252585404104956736049053069371602643854047036913696378658112972167392589722207625425713131734589103180453335166047969576362896364385886257766833060376559933283842931086904150739044364014412524754252191202013876658583699318567235205997822140046305793569548601741977487187793697110366678035624410549809374240921756048308014308730088669352054918387209904578260310382530734353846367158000580683202949506294187273672676741445076727282482431765911111839349650592154196765621993093657203010425892759018773725828042223340881830922093770363221235051137999673316810360477155668912226988193512822362417600003384457057693952930183783877077142376095980655715961327934062399754816753422594605136309306852277783053350950918293013783900356655571123794942730761279273465336136558684994332737543700939292240671728637437741747296160993583880074777369102229650789159505930771997585078009195759011918847354377711735636643757196339611426321708266344636861161006518447444638054624804898522731466383199334102383698091589366727086283749513436349778636220998185772770880457493060446837572087268391000839861302596074889929373913232295914351013300922228134944980134428502989494832244329322838402784409465174559492166735568500398770666830454004792194910531184874893058617246427235266768106188320821238370590343535488258177851279139342170424080540479323238589620891077084599485278562571987483630825507590402953985227901929921896863068896844646453645855192280148904654152817838075349241283255575772920599367300331800228534129505895621787691347618156010871870467348645352760420690215418345904847684926063390794406315053138917527303820052583434020050898871472816654838133096569545265464972430048412278109585753839423319228234156770349714390117257873052456809002233939932371306672683036510017487650828130072568390189447846919691679834706080573763813185362068070517003616537345391464679470610471966492138084060647755287205513523308446089734546296375103927485417706862380475766310262361031078884350908490397380046166609094975294650759797891976235268794202601708333547203025764180477625702472597779700148179326963909571025156954596072217327874894762228706075134937105421945339347182122073239470952424263583295934610181862526971243280822455644946844790651230098561574186076628253650605122209981756960092219325867806610430539530896540542963145117859074726332114248704563487951290889642928943086109163458665446519495589211100520785830687324337067200344372050505278760614510024267342374910744116807151108871024800105568494148622253799899861017872569794718530830681785330956201541529168016686204004993886721385259559412101931338359509941082598843585591632007211796558734676185978006049801002848766114701880709778}
23097  29694011657333429123671284833633754223683462989884393938430905333649103785958: {484827,577175,692610,738784,831132,900159,1269455,1523346,1591899,2144859,2261938,2559327,2835519,3068443,3231340,3344135,3663519,3877608,3898999,4012962,4362309,4383490,4616200,4628427,5003803,5041599,5193225,5260188,5490898,5539440,5729739,5834939,5908736,5970727,6105335,6231870,6598306,6647328,6665207,6966879,7148290,7326402,7355183,7478244,7844140,8172455,8324299,8529610,8577948,9015287,9024459,9290359,9361954,9412968,9806946,9833383,10006738,10235532,10236335,10393179,10589589,10803327,11166364,11393122,11761687,11895999,11911163,12283602,12725083,12879919,13259679,13374220,13789282,14047690,14295340,14852572,14896114,14944523,15039455,15160978,15300699,15612247,15722146,15979839,16049064,16058183,16197823,16522719,16647154,16795688,16802410,16857228,17092535,17154408,17381962,18047346,18055197,18178690,18722284,18895149,18960927,19021954,19280668,19298709,19366539,19375799,19665058,20047807,20148322,20162892,20387692,20414107,20511042,20747327,20986827,21001739,21217960,21256539,21593698,21658540,21660927,21796786,21814428,21837439,21870455,22303210,22494225,22878898,23090063,23335708,23870205,23993840,24082719,24561706,24892187,25022427,25424799,25461552,25757602,25990248,26244546,26414263,26630735,26647005,26656204,26676703,26746120,26763852,26993070,27032127,27174220,27309335,27379103,27576172,28062599,28092940,28423472,28555439,28644246,28792608,28985578,29163010,29239029,29293003,29415628,29789644,30089385,30103179,30319324,30848140,31035327,31377623,31722625,31733962,31956882,31976406,32049455,32095344,32391684,32392834,32609064,32684140,32771202,32856466,33711528,33927058,34502248,34995612,35281599,35413899,36054892,36107262,36511306,36620047,36646183,36685197,36955666,37017768,37563899,37593743,37925469,38040604,38054859,38067150,38459346,38815029,39220968,39566765,40020008,40029279,40134335,40604960,40824658,41129794,41342559,41565964,41644989,41787887,42478306,42547339,43177119,43313320,43487735,43569627,43589788,43961919,44123589,44484639,45022509,45103883,45180667,45495455,45551362,45564584,45680580,46010685,46667368,47248162,47480118,47737258,48161202,48488818,48569599,48725952,48727485,48782427,48960667,49078064,49119148,49420234,49904407,49985519,50338779,50813627,50833535,51260157,51604114,51975984,52033159,52185282,52351690,52419058,52500789,52666827,52823938,53205802,53307784,53366279,53434247,53458972,53589298,53598225,53703628,54158135,54214539,54343720,54594546,54774625,54816696,54858399,54987099,55212822,55482728,55556263,55687485,56523950,56999647,57078923,57171440,57634437,57966124,58046338,58320940,58464705,58472982,58572239,58797455,59314087,59399984,59675639,59971257,60310639,61000242,61136685,61373986,61473388,61668783,61788364,62283327,62362352,62418069,62537919,62822028,62919627,63031498,63462412,63810322,64317870,64444299,64543810,64568866,64989762,65105482,65205339,65212464,65707228,65729550,66274039,66294625,66577064,66805543,66824982,67071538,67369487,67515503,67578658,67609599,67828740,68240859,68373343,68605728,68612425,69127259,69258189,69269740,69606523,69687743,69833578,69943810,69985128,70111520,70157646,70196385,70256859,70556946,70628428,71247983,71292010,71886364,72015819,72274487,72289965,72350656,72392127,72519922,72652258,72686572,72768219,73285954,73320859,73364022,73600684,73644927,73916735,74307225,74876144,74899197,75614146,75769179,76369960,76440585,76526735,76556140,77109296,77181444,77452572,77955717,78177119,78480455,78733269,78875460,78880479,79261040,79366090,79395503,79553550,79624959,79958428,80032258,80244699,80740059,80748500,81136786,81394488,81536624,82128007,82194706,82252444,82334910,82414207,82450225,82617787,82916002,82923340,83026535,83123688,83124712,83556562,83567125,83580927,83932572,84133824,84235662,84443019,84734410,84857120,85393063,85426185,85426827,85550412,85916205,86286399,86317147,86359784,86447399,86567698,86654427,86747958,86794763,86865388,86997346,87137663,87823904,87985787,88189727,88461058,88661768,88700082,89102427,89168670,89722738,89748923,89916322,89956959,90040588,90134735,90552693,90903007,91094812,91121264,91123079,91422455,91568799,91643952,91728702,91832082,91867368,92344204,92728588,92804425,93120639,93514149,93515301,93969627,94068968,94176546,94650552,95113248,95239308,95436490,95464260,95530267,95693164,95918135,96026559,96045863,96147339,96540940,96750879,96898200,97120463,97154757,97352362,97671805,98017750,98603122,98801892,98831884,98940270,99038859,99171058,99191505,99437890,99508008,99631842,99744489,...,22726894016266375285231537496654571102795917362283147533914474555242352892705026616550836303876130183574150934235583488625533845734342183189236437685058576872602040896780361945124643745341301116338882506856727143012027633850565545005724529758873312325266391837770810142040530216070367101032430583406668100003835450575120106616647920091471552040036075306557570468617660806791032407769020127879189436255107850682795566008727969882012521161998377508434858304739559116803455251688218802577336236388323585764745909219149844912569868020445812281822275461566454024054645805720905277839368357343328322832345909075446040677624538427634256603485014385719619513476592405384741528040201249124596580288699286618832963687680340193354201748562681786344071243237391799135824257705060862607333007814449405369109622656054756341734363686397751732305517865884173873184304095336708656110921003636008027180945550475815074092777353385036374218651138946310710845713727874305683176747961396498254003860912426543475103935948627922878878106157435104073579604057403965781070555370544567987169458251088884583311438138569697601883654770680002749071954364544344546578829386650249590564839899925764396630356226108566546021618787131378286803020814987875548977850852808996733210069458690354322902612966230781690545665550017053436615824714061361382634072462021463095133004028082377580814856867390465573796101530769550737000871024804424259441280910509015112167615090923723647648866667759024475888231295148432989640485804515638839138528160588742063335011322746383140655544831852576706999509975215540715733503368340482290269233543626400005076685586540929395275675815615713564143970983573941991901093599632225130133891907704463960278416674580026426377439520675850534983356685692414096141918910198004204838027491499106315551408938361007592956156612620944241490375820112166053653344476183739258896157996377617013793638517878271031566567603454965635794509417139482562399516955291741509777671166957081937207347784097199574799001153575547137384050090629425624270154524667954331497278659156320686239590670256358130902586501259791953894112334894060869848443871526519951383342202417470201642754484242248366493984257604176614197761839238250103352750598156000245681007188292365796777312339587925869640852900152159282481231857555885515303232387266776918709013255636120810718984857884431336615626899227917843857981225446238261385604430977841852894882845294603345266969680468782788420223356981229226757113023861924883363659380899050950497700342801194258843432681537021427234016307805701022968029140631035323127518857271527389095086191609472579708376290955730078875151030076348307209224982257199644854317898197458645072618417164378630759134978842351235155524571585175886809578685213503350909898556960009024554765026231476242195108852585284171770379537519752059120860645719778043102105775505424806018087197019205915707949738207126090971632930808270284962669134601819444562655891228126560293570713649465393541546618326526362735596070069249913642462941976139696837964352903191303902562500320804538646270716438553708896669550222268990445864356537735431894108325991812342143343059112702405658132918009020773183109859206428636395374943901915272793790456864921233683467420267185976845147842361279114942380475907683314972635440138328988801709915645809296344810814444717676788612089498171373056845231926936334464393414629163745187998169779243383816650781178746030986505600800516558075757918140921765036401013562366116175210726663306537200158352741222933380699849791526808854692077796246022677996434302312293752025029306007490830082077889339118152897007539264911623898265378387448010817694838102014278967009074701504273149172052821064667}
23098  29800420007780331279288332709818057414984800049049852726823227860779202934334: {253957,392377,646436,923480,945337,1038915,1108176,1200212,1246698,1359301,1634917,1706366,1982558,2031128,2122532,2285019,2859812,3085886,3145657,3392907,3412436,3636686,3780692,4039175,4375237,4511497,4736558,4847010,4884692,5170144,5191717,5350616,5463301,5770250,5816412,6019443,6171236,6411577,6575235,6722132,6924300,7013584,7086757,7385920,7639652,7890282,7894597,8163301,8236347,8309160,8833801,8863104,9101497,9289172,9347805,9502501,9768536,9805175,9897459,9970992,10435657,10722435,10834501,10989603,11217366,11437264,11766210,12032612,12550624,12555337,12794415,12866922,13075928,13213957,13647376,13857572,13870777,13957955,14042931,14119452,14262158,14404436,14696227,14710419,15010107,15353298,15700297,15861332,16378136,16717775,16749546,17089683,17219486,17679572,17869175,18023006,18289417,18418117,18425403,18565715,18675301,20061330,20400932,20683923,20692046,20849737,20994610,21071535,21306452,21398752,21443010,22030292,22278858,22344171,22476304,22498501,22741467,22751077,22872544,23381257,23402855,23583219,23611358,24063128,24073596,24100835,24668606,24870538,24970731,25193532,25203615,25281236,25285842,25484615,25731612,25822052,26008357,26072943,26522450,26629177,26883856,27071019,27073175,27268035,27348056,27495301,27564158,27865417,27982436,28083426,28342052,28532931,28874558,28881236,28921002,29085904,29169635,29497587,29584057,29992300,30189467,30222483,30244338,30581538,30766563,31409797,31826940,32014777,32110292,32135557,32376901,32390547,32487810,32524526,32617957,32695179,32721642,33320255,33363236,33432650,33454815,33899732,33948736,33967775,34318347,34470215,34536037,34653664,34992728,35003562,35017507,35116175,35529340,35685136,35990760,36042836,36278099,36317497,36661358,36769535,36789817,36842559,37237055,37899155,38192328,38390144,38560175,38636403,38985372,39366819,39715717,39831817,39869011,39984306,40119180,40137572,40145778,40250846,40411237,40489605,40761330,40833947,40855175,41219401,41364258,41380436,41525966,42138697,42139410,42609176,42635208,42793792,42797486,42939301,42943306,42966369,43127810,43188912,43478367,43478752,43694936,43736377,43744515,43849957,44123442,44684466,44948704,45068615,45478986,45582158,46272210,46644311,46660816,47042132,47093726,47218532,47432363,47550755,47600943,47935323,47964609,48001801,48098558,48143016,48547387,48555301,48587526,48589251,48776197,48913596,49026210,49156803,49284699,49327177,49357024,49985977,50025010,50567292,50600558,50660623,50739812,50751301,50756200,50890587,51279128,51753372,51957455,51974986,52294624,52379401,52493418,53008043,53133637,53372372,53670217,54079166,54082338,54141650,54160893,54311737,54487235,54567058,54766959,54844357,55056901,55123412,55433499,55526652,55587001,55798537,55807886,56051567,56546606,56851897,56955730,57060906,57100725,57480457,57569492,57689019,58092836,58210501,58254931,58334210,58522297,58615892,58831452,59312852,59763001,60030012,60907440,61236987,61347580,61393706,61398935,61681358,61694691,62314501,62348946,62617657,62652206,63306824,63717459,63823801,64104158,64156499,64214936,64622137,64967936,64969980,65043236,65384682,65516626,66106597,66303301,66499717,66634730,66793801,66823715,67118372,67129535,67470634,67471886,67929650,67950686,68327043,68346876,68520870,68667806,69026917,69145166,69219301,69301312,69353410,69507337,69580376,70001052,70222436,70872243,71220177,71286158,71316517,71344546,71411017,71464300,71605887,72070501,72241803,72286052,72457655,72707006,72733227,72734123,72792728,72901175,73006501,73088928,73144532,73285487,73285897,73316132,73617096,73678722,74023183,74130351,74249980,75131977,75564811,75767726,76002158,76678501,76841735,76845916,77235455,77406171,77579047,77952940,77963976,78277923,78471301,78527535,78628587,79235907,79328015,79731106,79797001,79808703,79961676,80188458,80235301,80383947,80555442,81333656,81515580,81539401,81816158,81891819,82134035,82225044,82228297,82310347,82819233,83044436,83221330,83224092,83383892,83422777,83762704,83892836,84785925,85489886,85603657,85733362,85757160,85925732,86587175,86653016,86940452,86949186,86949952,87069507,87481410,87540158,87639400,87654757,87709473,88285535,88674158,89099976,89578766,89857955,90056677,90146132,90438320,90607801,90764617,90858215,90987812,90999301,91155397,91474304,91500363,92000855,92060979,92210082,92344252,92578738,92682546,92929801,93313504,93397646,93543528,93595180,93675812,93840457,93973187,94075928,94233042,94441801,94547247,94856498,94964197,94998043,95180366,95193618,95462450,95695175,95715483,95777977,96021092,96071737,96386620,96437317,96476805,96499858,96522836,96801097,96815715,96853299,97018501,97024292,97086346,97395806,97484643,97658223,97818696,98193236,98498126,98560842,98594325,98938046,99076300,99297157,99865596,99948035,...,30302525355021833713642049995539428137061223149710863378552632740323137190273368822067781738501506911432201245647444651500711794312456244252315250246744769163469387862373815926832858327121734821785176675808969524016036845134087393340966039678497749767021855783694413522720706954760489468043240777875557466671780600766826808822197226788628736053381433742076760624823547742388043210358693503838919248340143800910394088011637293176016694882664503344579811072986078822404607002250958403436448315184431447686327878958866459883426490693927749709096367282088605365406194407627873703785824476457771097109794545433928054236832717903512342137980019180959492684635456540512988704053601665499462107051599048825110618250240453591138935664750242381792094990983189065514432343606747816809777343752599207158812830208073008455645818248530335643074023821178898497579072127115611541481228004848010702907927400634420098790369804513381832291534851928414281127618303832407577568997281861997672005147883235391300138581264837230505170808209913472098106138743205287708094073827392757316225944334785179444415250851426263469178206360906670332095939152725792728771772515533666120753119866567685862173808301478088728028825049508504382404027753317167398637134470411995644280092611587139097203483954974375587394220733356071248821099618748481843512096616028617460177338704109836774419809156520620765061468707692734316001161366405899012588374547345353482890153454564964863531822223678699301184308393531243986187314406020851785518037547451656084446681763661844187540726442470102275999346633620720954311337824453976387025644724835200006768914115387905860367567754154284752191961311431922655868124799509633506845189210272618613704555566106701901836586027567800713311142247589885461522558546930672273117369988665475087401878584481343457274875483494592321987167760149554738204459301578319011861543995170156018391518023837694708755423471273287514392679222852643416532689273722322013036894889276109249609797045462932766398668204767396183178733454172567499026872699557272441996371545541760914986120893675144174536782001679722605192149779858747826464591828702026601844456269889960268857005978989664488658645676805568818930349118984333471137000797541333660908009584389821062369749786117234492854470533536212376641642476741180687070976516355702558278684340848161080958646477179241782154169198970557125143974967261651015180805907970455803859843793726137793689292907291710384560297809308305635676150698482566511151545841198734600663600457068259011791243575382695236312021743740934697290705520841380430836691809695369852126781588812630106277835054607640105166868040101797742945633309676266193139090530929944860096824556219171507678846638456468313540699428780234515746104913618004467879864742613345366073020034975301656260145136780378895693839383359669412161147527626370724136141034007233074690782929358941220943932984276168121295510574411027046616892179469092592750207854970835413724760951532620524722062157768701816980794760092333218189950589301519595783952470537588405203416667094406051528360955251404945195559400296358653927819142050313909192144434655749789524457412150269874210843890678694364244146478941904848527166591869220363725053942486561644911289893689581302460197123148372153256507301210244419963513920184438651735613220861079061793081085926290235718149452664228497409126975902581779285857886172218326917330893038991178422201041571661374648674134400688744101010557521229020048534684749821488233614302217742049600211136988297244507599799722035745139589437061661363570661912403083058336033372408009987773442770519118824203862676719019882165197687171183264014423593117469352371956012099602005697532229403761419556}
23099  29907207163670044737309808588445980430173676013405274885546411570352771469074: {23099,808045,969654,1154350,1385220,1477568,1500265,1662264,1777237,1800318,1870047,2538910,2559549,2653165,2973837,3046692,3183798,3574765,4265545,4289718,4314277,4523876,4628829,4681789,4725865,5118654,5455029,5671038,6105865,6136886,6462680,6688270,6895837,7104837,7270515,7327038,7355821,7449349,7714045,7755216,7797998,7862437,8025924,8402665,8547469,8655375,8692489,8724618,8766980,9016069,9232400,9256854,9549565,10007606,10075909,10083198,10386450,10520376,10981796,11078880,11365129,11441437,11459478,11611465,11669878,11817472,11835423,11912197,11941454,12195037,12210670,12463740,13196612,13294656,13330414,13933758,14076829,14296580,14330869,14652804,14710366,14945821,14956488,15040765,15451117,15688280,16059577,16344910,16648598,16826049,16841509,16966477,17059220,17155896,17321965,17649315,17661709,17947381,17976277,18005545,18030574,18048918,18580718,18723908,18825936,19300383,19377481,19606189,19613892,19666766,19826665,20013476,20471064,20472670,20712061,20749129,20786358,21055237,21179178,21393237,21606654,22099465,22332728,22786244,23029947,23188189,23523374,23791998,23822326,23872777,23929549,24567204,24820237,24894349,25124319,25450166,25501165,25759838,25806541,25829229,26519358,26633065,26748440,27034509,27381481,27537865,27578564,27774277,28095380,28590680,28714669,29267317,29705144,29792228,29889046,30078910,30091995,30321956,30601398,30618637,30893029,31038069,31224494,31234069,31444292,31491915,31601545,31959678,32076517,32098128,32116366,32164515,32277565,32395646,33045438,33294308,33418287,33541597,33591376,33604820,33714456,33747337,34185070,34308816,34763924,34788409,34922857,34978045,35377129,35417037,35427565,36094692,36101545,36110394,36357380,37002909,37283029,37305807,37444568,37490375,37790298,37921854,37928763,38043908,38098357,38233069,38561336,38597418,38622037,38691577,38733078,38751598,39330116,39371821,39783675,40095614,40137865,40296644,40325784,40775384,40828214,41022084,41346237,41494654,41704045,41973654,42003478,42105877,42125139,42374665,42435920,42513078,42568969,43187396,43311837,43317080,43321854,43381503,43593572,43628856,43674878,43740910,43893637,44342197,44411675,44428969,44606420,44694829,44869237,44988450,45053545,45366507,45607837,45757796,45872307,46180126,46671416,46704109,47740410,47987680,48165438,48731715,48786789,49082463,49123412,49784374,50044854,50148975,50171965,50215549,50849598,50923104,51515204,51725545,51980496,52423837,52489092,52505343,52828526,53097517,53261470,53294010,53304589,53312408,53353406,53492240,53527704,53986140,54064254,54214309,54348440,54423037,54618670,54758206,54992037,55152344,55393471,56125198,56185880,56188069,56846944,57083917,57110878,57288492,57581821,57585216,57971156,58326020,58478058,58586006,58802665,58831256,59023165,59579288,59680837,59720629,59976459,60178770,60206358,60218667,60376269,60638648,60882829,61141995,61696280,62046387,62070654,62288949,62755246,63209115,63424765,63445250,63467924,63693637,63759589,63913764,63952812,64098910,64190688,64196229,64414959,64587337,64623049,64691715,64783368,64785668,65218128,65368280,65542404,65712932,66185163,66715465,67026699,67423056,67456909,67854116,68017477,68218479,68373237,68904265,69004496,69221737,69408315,69505117,69991224,70466377,70496437,70563198,70640589,70827798,71166949,71254189,71961865,72109784,72147837,72214524,72579721,72616045,72881289,73022612,73240094,73269865,73292366,73329589,73370394,73539315,73911332,74035536,74141065,75037515,75127798,75187486,75295309,75650089,75821389,75850938,75900837,76081208,76109718,76134300,76161637,76684475,76918692,77630058,77886301,77920117,77962479,78441936,78740127,79133530,79791049,80040016,80058558,80268670,81118749,81123507,81209920,81212475,81304045,81649316,81850587,81990637,82038277,82259588,82316437,82685118,83131928,83289978,83575774,83711829,83897965,84337957,84499069,84819909,84956612,85094678,85298749,85433595,85591359,85805257,86354238,86626640,86658469,86802397,86975470,87139254,87179576,87295021,87501315,87778045,87923838,88247178,88882537,88966729,88969278,89330375,90045018,90207766,90357565,90361334,90812269,90990910,91102724,91129168,91315897,91361160,91430665,91645165,91724677,92021370,92090559,92522037,92812475,93147157,93334736,93523419,93831049,93978309,94496324,94673821,94960236,95474516,96054229,96057395,96156237,96322404,96977636,97129021,97139198,97441175,97451904,97454970,97564854,97921334,98077023,98156128,98238296,98274939,98564989,98840468,99041641,99091597,99808814,99952095,99971038,...,45453788032532750570463074993309142205591834724566295067828949110484705785410053233101672607752260367148301868471166977251067691468684366378472875370117153745204081793560723890249287490682602232677765013713454286024055267701131090011449059517746624650532783675541620284081060432140734202064861166813336200007670901150240213233295840182943104080072150613115140937235321613582064815538040255758378872510215701365591132017455939764025042323996755016869716609479118233606910503376437605154672472776647171529491818438299689825139736040891624563644550923132908048109291611441810555678736714686656645664691818150892081355249076855268513206970028771439239026953184810769483056080402498249193160577398573237665927375360680386708403497125363572688142486474783598271648515410121725214666015628898810738219245312109512683468727372795503464611035731768347746368608190673417312221842007272016054361891100951630148185554706770072748437302277892621421691427455748611366353495922792996508007721824853086950207871897255845757756212314870208147159208114807931562141110741089135974338916502177769166622876277139395203767309541360005498143908729088689093157658773300499181129679799851528793260712452217133092043237574262756573606041629975751097955701705617993466420138917380708645805225932461563381091331100034106873231649428122722765268144924042926190266008056164755161629713734780931147592203061539101474001742049608848518882561821018030224335230181847447295297733335518048951776462590296865979280971609031277678277056321177484126670022645492766281311089663705153413999019950431081431467006736680964580538467087252800010153371173081858790551351631231427128287941967147883983802187199264450260267783815408927920556833349160052852754879041351701069966713371384828192283837820396008409676054982998212631102817876722015185912313225241888482980751640224332107306688952367478517792315992755234027587277035756542063133135206909931271589018834278965124799033910583483019555342333914163874414695568194399149598002307151094274768100181258851248540309049335908662994557318312641372479181340512716261805173002519583907788224669788121739696887743053039902766684404834940403285508968484496732987968515208353228395523678476500206705501196312000491362014376584731593554624679175851739281705800304318564962463715111771030606464774533553837418026511272241621437969715768862673231253798455835687715962450892476522771208861955683705789765690589206690533939360937565576840446713962458453514226047723849766727318761798101900995400685602388517686865363074042854468032615611402045936058281262070646255037714543054778190172383218945159416752581911460157750302060152696614418449964514399289708635796394917290145236834328757261518269957684702470311049143170351773619157370427006701819797113920018049109530052462952484390217705170568343540759075039504118241721291439556086204211551010849612036174394038411831415899476414252181943265861616540569925338269203638889125311782456253120587141427298930787083093236653052725471192140138499827284925883952279393675928705806382607805125000641609077292541432877107417793339100444537980891728713075470863788216651983624684286686118225404811316265836018041546366219718412857272790749887803830545587580913729842467366934840534371953690295684722558229884760951815366629945270880276657977603419831291618592689621628889435353577224178996342746113690463853872668928786829258327490375996339558486767633301562357492061973011201601033116151515836281843530072802027124732232350421453326613074400316705482445866761399699583053617709384155592492045355992868604624587504050058612014981660164155778678236305794015078529823247796530756774896021635389676204028557934018149403008546298344105642129334}
23100  30014374464641492006157690002860026736181828765635437223278439835150372815669: {300131,438539,507914,669059,784754,853331,945419,991451,1083491,1292872,1359419,1405379,1454481,1635059,1680971,1731525,1818659,1846960,1890674,1910411,2047979,2077830,2216352,2231291,2400424,2460251,2493396,2700477,2718602,2917571,3145931,3191579,3269834,3412732,3602051,3738731,3808365,3965116,4062256,4102859,4245064,4421051,4557299,4570038,4775697,5101571,5237459,5463779,5509019,5654845,5719624,6171772,6291314,6434577,6457211,6682451,6785814,6824872,7132331,7222211,7273372,7536539,7561384,7677981,7940099,8078350,8164019,8477171,8506557,8611259,8700611,8750474,9022994,9102299,9205329,9280619,9473116,9547859,9694020,9769384,9770339,10032405,10170299,10340288,10347851,10383434,10436579,10480931,10701232,10835459,10926602,10958725,10990557,11012531,11540500,11632824,11696997,12038886,12342472,12556451,12820139,12823154,13086927,13150470,13444264,13478099,13727245,13848600,13872011,13885281,13915739,14027168,14173514,14177939,14527091,14657891,14771840,14788619,15011409,15124797,15279304,15484619,15579675,15780564,15789194,15875219,16091939,16326602,16395011,16472694,16495765,16618320,16784099,16913651,17189217,17504817,17667602,17726208,17775491,17870725,17912181,18033419,18202994,18291059,18316005,18333971,18419771,18462659,18578344,18695610,18976691,19005002,19537072,19541137,19610350,19794918,19941984,19995621,20129051,20214179,20596859,20851619,20871314,20900637,20978891,21106091,21324025,21402611,21444870,21487259,21614171,21669002,21910019,21979206,22065549,22289819,22434732,22542659,22795211,22874528,23131499,23383379,23404885,23425331,23532420,23551139,23928131,24065224,24137291,24262691,24388019,24517365,24680171,24972897,25016845,25101248,25110674,25512731,25588830,25678859,25733844,25992001,26151856,26427914,26879459,27044531,27045861,27073377,27291899,27294752,27497819,27715144,27741554,27871077,27909059,27915910,27991211,28085862,28238904,28278491,28360499,28482805,28524316,28808872,28892771,29392454,29420838,29500149,29586779,29831171,30020214,30359699,30706596,30709005,30927371,31170179,31179537,31400594,31412699,31453091,31722664,31768767,32058011,32138531,32178779,32379899,32409981,32620979,32756272,32763997,32861771,33022139,33262451,33435550,33499092,33741169,33822059,33981659,34061411,34179366,34340291,34419899,34438972,34473205,34539251,34579019,34658531,34777739,35119225,35285061,35359144,35678461,35687997,35728811,35733489,35738350,36046012,36242051,36360299,36557219,36578834,36793259,36832571,36836234,36850806,37131430,37240285,37350602,37421291,37538819,37890971,37902445,38008211,38086331,38175249,38639757,38787971,38943539,39305365,39758171,39779037,39874259,40067579,40122660,40415051,40530731,40801864,40837489,40877339,41261699,41367846,41384092,41617885,41699474,41798459,41989220,42006025,42066251,42143070,42180899,42409979,42612904,42797504,42874117,42886020,42943379,43454905,43513139,43740539,43778411,43854131,43891979,44060584,44081099,44557716,44688342,44797931,44833569,44873219,44952608,44997002,45098891,45118365,45249179,45446725,45482934,45502154,45586859,45745088,45902097,46036091,46222931,46372259,46648357,46762514,46782251,46805710,46836741,46931099,47166438,47222716,47554885,47710451,47939517,48043379,48126256,48147192,48174549,48201670,48258301,48593469,48596819,48707291,48780899,48891251,49162645,49331939,49337212,49368611,49551851,49568157,49741076,49941462,50355731,50370805,50387064,50407230,50562472,50571684,50756219,50969230,51010571,51277605,51463224,51477349,51644104,52016714,52131877,52145886,52384499,52420499,52528451,52923659,53012641,53044900,53058817,53138819,53174651,53258354,53604011,53675459,53767712,53984245,54142038,54146350,54165591,54317051,54352619,54491965,54536070,54696112,54885179,54956051,54990602,55128316,55203851,55274579,55627739,55730834,55758025,55804019,55964872,56015291,56056429,56166852,56261411,56436971,56684104,56685447,56882781,56892491,57065862,57197245,57729899,57749116,57762472,57842004,57896127,58099617,58127397,58171808,58339270,58873811,58995174,59046371,59168114,59253179,59494091,59562851,59803259,59984600,60143421,60282899,60378934,60444966,60487979,60488676,60931331,61135499,61163076,61242321,61404265,61533126,61644659,61813979,62152019,62241981,62354459,62623931,62645869,62819594,62960481,63005217,63060731,63096061,63362339,63462731,63653880,63769617,63830219,64029554,64220584,64271114,64394005,64628651,64661819,64753802,64781094,64975620,64982781,65049052,65235914,65323499,65390358,65443284,65455451,65512317,65611365,65718971,66113291,66242761,66342779,66539171,66571057,66640510,66726472,66833219,66865300,66909630,67191731,67482675,67799464,67897472,67935550,68455019,68636694,68873411,68940430,69066059,69072074,69258419,69270189,69307328,69354491,69514451,69546419,69985456,70007124,70035014,70088651,70232350,70470011,70565171,70691939,70786931,70881851,71058680,71134619,71323859,71355371,71370272,71418371,71610615,71732891,71921219,71981520,72077939,72085672,72203171,72248157,72463945,72556198,72634994,72740437,72827411,72907525,73322716,73539070,73579634,73685118,73850411,74127899,74312531,74474110,74588939,74676561,74711579,75067281,75139811,75170339,75536051,75798310,75821317,76274397,76282129,76384656,76596131,76686539,76716659,76780288,76806971,77120350,77137499,77272806,77765819,77885099,77970744,78301571,78686891,78733638,79242789,79334905,79394699,79431434,79663634,79738022,79834739,79892205,79941015,79968612,79981019,80030109,80238360,80272979,80275144,80291556,80501692,80796491,80822474,80979210,80982085,81096381,81230771,81522660,81663251,81667894,81710350,81907309,81928005,82137309,82141165,82408619,82438802,82579859,82728516,82760872,83051932,83176931,83460011,83798651,83883131,83939411,84187797,84277394,84278820,84360491,84556379,84817645,84863411,85058291,85218352,85270416,85587584,85594972,85640579,85666317,85695851,85778699,85878602,85886612,85889051,85932738,85958509,86109371,86255620,86377824,86521091,86610121,86767259,86876459,86931011,86956734,86957504,87284819,87389872,87472754,87489030,87664331,87691379,87699914,87717087,87745451,87826499,87879009,88015331,88246884,88257539,88793459,88873571,89033579,89299619,89368932,89432339,89591339,89855699,89897408,89934851,90066611,90092939,90137230,90145571,90268155,90309537,90539291,90643979,90800771,90957972,91009379,91164316,91165499,91269419,91278265,91632131,91967531,92044739,92389165,92544420,92710859,92812859,92940179,93041891,93105981,93194219,93288622,93321632,93548531,93553201,93850979,93981349,94001771,94084264,94132869,94187452,94437064,94452419,94864726,94974899,95101510,95167875,95201886,95419931,95493851,95788811,95813339,95870646,95929218,95960339,96003602,96082619,96107051,96148365,96197116,96286032,96521171,96812099,96836291,97029539,97053659,97094774,97110602,97125971,97174139,97175052,97178502,97552394,97773539,97827192,97892819,98052420,98273171,98313606,98569398,98604299,98654354,98675051,98714048,98816339,98980811,99308579,99378611,99658019,99750899,99971954,...,68180682048799125855694612489963713308387752086849442601743423665727058678115079849652508911628390550722452802706750465876601537203026549567709313055175730617806122690341085835373931236023903349016647520570181429036082901551696635017173589276619936975799175513312430426121590648211101303097291750220004300011506351725360319849943760274414656120108225919672711405852982420373097223307060383637568308765323552048386698026183909646037563485995132525304574914218677350410365755064656407732008709164970757294237727657449534737709604061337436845466826384699362072163937417162715833518105072029984968497037727226338122032873615282902769810455043157158858540429777216154224584120603747373789740866097859856498891063041020580062605245688045359032213729712175397407472773115182587821999023443348216107328867968164269025203091059193255196916553597652521619552912286010125968332763010908024081542836651427445222278332060155109122655953416838932132537141183622917049530243884189494762011582737279630425311807845883768636634318472305312220738812172211897343211666111633703961508374753266653749934314415709092805650964312040008247215863093633033639736488159950748771694519699777293189891068678325699638064856361394134860409062444963626646933552558426990199630208376071062968707838898692345071636996650051160309847474142184084147902217386064389285399012084247132742444570602171396721388304592308652211002613074413272778323842731527045336502845272771170942946600003277073427664693885445298968921457413546916517415584481766226190005033968239149421966634495557730120998529925646622147200510105021446870807700630879200015230056759622788185827027446847140692431912950721825975703280798896675390401675723113391880835250023740079279132318562027551604950070057077242288425756730594012614514082474497318946654226815083022778868469837862832724471127460336498160960033428551217776688473989132851041380915553634813094699702810364896907383528251418447687198550865875224529333013500871245811622043352291598724397003460726641412152150271888276872810463574003862994491835977468962058718772010769074392707759503779375861682337004682182609545331614579559854150026607252410604928263452726745099481952772812529842593285517714750310058251794468000737043021564877097390331937018763777608922558700456477847443695572667656545909697161800330756127039766908362432156954573653294009846880697683753531573943676338714784156813292933525558684648535883810035800909041406348365260670070943687680271339071585774650090978142697152851493101028403582776530298044611064281702048923417103068904087421893105969382556571814582167285258574828417739125128872867190236625453090229044921627674946771598934562953694592375935217855251493135892277404936527053705466573714755527660428736055640510052729695670880027073664295078694428726585326557755852515311138612559256177362581937159334129306317326516274418054261591057617747123849214621378272914898792424810854888007403805458333687967673684379680880712140948396180624639854979579088206788210207749740927388825928419090513893058709573911707687500962413615938812149315661126690008650666806971337593069613206295682324977975437026430029177338107216974398754027062319549329577619285909186124831705745818381371370594763701050402260801557930535443527083837344827141427723049944917906320414986966405129746937427889034432443334153030365836268494514119170535695780809003393180243887491235563994509337730151449952343536238092959516802401549674227273754422765295109203040687098348525632179989919611600475058223668800142099549374580426564076233388738068033989302906936881256075087918022472490246233668017354458691022617794734871694796135162344032453084514306042836901027224104512819447516158463194001} 
23101  30121923255039984781081370442974470075099452982717431572035643442614326557864: {46198,761871,1131263,1177131,1616090,1939308,2100371,2308700,2770440,2836011,2955136,3000530,3116745,3324528,3554474,3600636,3714431,3740094,4077903,4265915,4821839,4904751,4956395,5004671,5077820,5098691,5119098,5306330,5947674,5971763,6093384,6367596,6616211,6855057,7149530,7714715,7863119,8325743,8531090,8548211,8579436,8628554,8693243,9047752,9091715,9257658,9291971,9363578,9382571,9436971,9451730,10076783,10178721,10237308,10799663,10910058,11342076,11763731,11841395,12117525,12148931,12211730,12273772,12702203,12925360,13125711,13369391,13376540,13534491,13791674,14078051,14209674,14425625,14541030,14654076,14711642,14898698,15428090,15452459,15510432,15575151,15595996,15724874,16051848,16256051,16389903,16805330,16842971,17094938,17310750,17384978,17449236,17533960,17663243,17948939,18032138,18058329,18260411,18464800,18482651,18513708,18822863,19099130,19234731,19607891,19725705,19996559,20015212,20051291,20151818,20166396,20713859,20772900,21040752,21057071,21244691,21260271,21963592,22140479,22157760,22730258,22882874,22918956,23190203,23222930,23339756,23634944,23670846,23683791,23824394,23882908,24250751,24390074,24421340,24489903,24533531,24709041,24927480,25207763,26216363,26393224,26501403,26589312,26660828,26681339,27304491,27757331,27867516,28043415,28153658,28507503,28556651,28593160,28661738,28717163,29269859,29305608,29415525,29420732,29692377,29891642,29912976,30081530,30694991,30902234,30939251,31041839,31306971,31376560,31523963,32079311,32119154,32167305,32292851,32503503,32689820,32968809,33297196,33652098,33683018,33932954,34118440,34311792,34527503,34643930,35298630,35323418,35459951,35655395,35701631,35894762,35952554,36011090,36061148,36097836,36626411,37161436,37286291,37447816,37651872,37666011,37816931,37908611,38383245,38553011,38600766,38754962,38881163,39212378,39227784,39333532,39641871,39653330,40026563,40026952,40578971,40706459,40942128,40945340,41424122,41498258,41572716,41612331,41873865,42087119,42110474,42128793,42358356,42786474,43048715,43213308,44088681,44131257,44198930,44242163,44665456,45025331,45030321,45057515,45124571,45188591,45572488,46059894,46376378,46505231,47046748,47100891,47577083,47583996,47644652,47745554,47777231,47859098,48969263,49134408,49598591,49640474,49761491,49788698,50153325,50248638,50542163,50900332,51002330,51269049,51519676,51613082,51658458,51730115,51917771,52486525,52676963,53038716,53266130,53496880,53607525,53900171,54069018,54762962,54868251,55075730,55157128,55254351,55276209,55548554,55697145,56025903,56190760,56193011,57181360,57429338,57586859,58385663,58534634,59028395,59324531,59410288,59584456,59778092,60157820,60183990,60402611,60592463,60643912,61202796,61237274,61671515,61786058,62051769,62076138,62176345,62448988,62468138,62549211,62751611,62888584,62983830,63074963,63161771,63203090,63214605,63514091,63919356,64153034,64196256,64232732,64329030,64555130,64791292,65920931,66090876,66306125,66588616,66836574,67032513,67083194,67182752,67209640,67428912,67462811,67494674,67495503,68051243,68224401,68253231,68370140,68617632,68910395,69079811,69527848,69576818,69845714,69956090,70143771,70208565,70240751,70749657,70754258,70834074,70855130,70998191,72186395,72189384,72203090,72220788,72302505,72415763,72586043,72714760,74005818,74566058,74611614,74889136,74912193,74980750,75580596,75610845,75843708,75857526,76087816,76168271,76196714,76453845,76466138,76938191,77122672,77194836,77244074,77383154,77466156,77503196,77585219,78025071,78218829,78421211,78660232,78743642,78756539,79567350,79887531,80191228,80275730,80384291,80593288,80651568,81213057,81219525,81311315,81550768,81656428,81804105,82044168,82142411,82323731,82485903,82632431,82692474,82767731,82989308,83313971,83408090,83581625,83596251,83947308,84006956,84211754,84250278,84749330,84871840,85026156,85137938,85598793,85812731,86374792,86623674,86634160,86643708,86666051,86763006,87187144,87257712,87302699,87349756,87481820,87504371,87508905,87787274,88492761,88684394,88752171,88794671,88823350,88857938,89212840,89389658,89738474,89976900,90107090,90326591,90568401,90667449,90733014,91215674,91323851,91515592,91653395,91689839,91744614,92087411,92299689,92360252,93207851,93342832,93401651,93408218,93890651,94229391,95480820,95770331,95975360,96044331,96330876,96406671,96465971,96853583,97130703,97171641,97463430,97573578,97853871,98085537,98164926,98246824,99433403,99568748,99672131,99960765,...,90907576065065501140926149986618284411183669449132590135657898220969411570820106466203345215504520734296603736942333954502135382937368732756945750740234307490408163587121447780498574981365204465355530027426908572048110535402262180022898119035493249301065567351083240568162120864281468404129722333626672400015341802300480426466591680365886208160144301226230281874470643227164129631076080511516757745020431402731182264034911879528050084647993510033739433218958236467213821006752875210309344945553294343058983636876599379650279472081783249127289101846265816096218583222883621111357473429373313291329383636301784162710498153710537026413940057542878478053906369621538966112160804996498386321154797146475331854750721360773416806994250727145376284972949567196543297030820243450429332031257797621476438490624219025366937454745591006929222071463536695492737216381346834624443684014544032108723782201903260296371109413540145496874604555785242843382854911497222732706991845585993016015443649706173900415743794511691515512424629740416294318416229615863124282221482178271948677833004355538333245752554278790407534619082720010996287817458177378186315317546600998362259359599703057586521424904434266184086475148525513147212083259951502195911403411235986932840277834761417291610451864923126762182662200068213746463298856245445530536289848085852380532016112329510323259427469561862295184406123078202948003484099217697037765123642036060448670460363694894590595466671036097903552925180593731958561943218062555356554112642354968253340045290985532562622179327410306827998039900862162862934013473361929161076934174505600020306742346163717581102703262462854256575883934295767967604374398528900520535567630817855841113666698320105705509758082703402139933426742769656384567675640792016819352109965996425262205635753444030371824626450483776965961503280448664214613377904734957035584631985510468055174554071513084126266270413819862543178037668557930249598067821166966039110684667828327748829391136388798299196004614302188549536200362517702497080618098671817325989114636625282744958362681025432523610346005039167815576449339576243479393775486106079805533368809669880806571017936968993465975937030416706456791047356953000413411002392624000982724028753169463187109249358351703478563411600608637129924927430223542061212929549067107674836053022544483242875939431537725346462507596911671375431924901784953045542417723911367411579531381178413381067878721875131153680893427924916907028452095447699533454637523596203801990801371204777035373730726148085708936065231222804091872116562524141292510075429086109556380344766437890318833505163822920315500604120305393228836899929028798579417271592789834580290473668657514523036539915369404940622098286340703547238314740854013403639594227840036098219060104925904968780435410341136687081518150079008236483442582879112172408423102021699224072348788076823662831798952828504363886531723233081139850676538407277778250623564912506241174282854597861574166186473306105450942384280276999654569851767904558787351857411612765215610250001283218154585082865754214835586678200889075961783457426150941727576433303967249368573372236450809622632531672036083092732439436825714545581499775607661091175161827459684934733869681068743907380591369445116459769521903630733259890541760553315955206839662583237185379243257778870707154448357992685492227380927707745337857573658516654980751992679116973535266603124714984123946022403202066232303031672563687060145604054249464464700842906653226148800633410964891733522799399166107235418768311184984090711985737209249175008100117224029963320328311557356472611588030157059646495593061513549792043270779352408057115868036298806017092596688211284258668}
23102  30229854883933649271812756349351168507356881061643684830409410517663523894371: {69297,600262,715201,877078,991537,1015828,1338118,1405501,1569508,1681117,1706662,1890838,1982902,2166982,2424135,2506237,2585744,2718838,2810758,2885875,2908962,3191857,3270118,3361942,3463050,3637318,3693920,3781348,3820822,4095958,4148701,4155660,4432704,4462582,4500795,4800848,4920502,4986792,5331711,5400954,5437204,5509501,5610141,5835142,6291862,6347275,6383158,6539668,6825464,7204102,7477462,7616730,7678647,7916783,7930232,7959495,8124512,8205718,8490128,8842102,8921511,9114598,9140076,9551394,9815677,10203142,10474918,10481857,10724295,10927558,11018038,11309690,11439248,12343544,12582628,12796635,12865201,12869154,12914422,12942831,13364902,13523101,13571628,13649744,13886487,13916977,14045367,14177595,14264662,14444422,14546744,14833501,15073078,15122768,15342215,15355962,15880198,16156700,16328038,16365087,16396477,16720675,16954342,17013114,17222518,17401222,17500948,18045988,18078001,18204598,18317595,18335617,18410658,18464317,18561238,18946232,19095718,19218143,19388040,19494995,19538768,19540678,20064810,20340598,20680576,20687511,20695702,20766868,20873158,20961862,21314511,21402464,21670918,21811545,21853204,21912001,21917450,21981114,22025062,22067463,22291837,22348047,22923457,23081000,23094071,23142135,23175601,23265648,23393994,23427457,23587311,24077772,24684944,25019015,25112902,25207995,25640278,25642407,25646308,25966125,26077467,26173854,26300940,26888528,26923201,26956198,27048207,27454490,27697200,27744022,27770562,27831478,28054336,28347028,28355878,28404097,28648695,29054182,29174695,29315782,29543680,29577238,29853635,30022818,30227727,30249594,30526675,30558608,30969238,30970717,31159350,31455997,31561128,31578388,31750438,32181757,32183878,32653204,32766839,32790022,32945388,32991530,33236640,33265537,33326035,33568198,33827302,33984817,34095387,34324311,34378434,34582237,34820701,34834395,35009634,35023583,35335204,35452416,35506269,35550982,35736591,35741450,35771677,35824362,36066838,36405988,36582118,36585111,36632010,36667942,36775915,36836017,36839542,36925318,37156688,37391220,37953382,38010004,38011777,38128957,39074144,39082274,39220700,39589836,39875927,39883968,39991242,40258102,40428358,40862275,40919677,41193718,41621495,41703238,41742628,41801274,41957782,42212182,42230487,42648050,42805222,42889740,42974518,42992607,43228342,43338004,43782577,43820038,43896157,43958412,44131098,44579638,44837463,44869464,44915137,45076435,45085318,45122295,45590422,45749056,46040497,46262998,46353351,46451795,46766758,46809770,46850662,47064840,47102278,47440591,47715037,47856262,48130448,48178731,48262487,48274582,48525382,48776038,49034730,49153201,49166915,49360342,49373377,49945794,50033690,50202496,50221348,50478147,50524527,50669411,50899431,51025462,51177660,51181675,51357718,51467688,51559297,51965895,51984002,52136399,52209457,52303712,52425601,52855828,52947945,52985127,53063423,53179837,53758918,53842143,53928831,54016635,54089062,54091722,54146754,54357937,54571201,54583798,54589504,54995638,55027511,55315357,55430288,55483108,55742154,55818118,55831820,55950397,55982422,56171724,56477808,56556982,56720998,56965610,57048632,57422077,57617744,57785542,57901149,58132443,58265039,58784908,58808435,58818567,58841676,59000298,59173558,59479995,59499997,59555815,59662342,60040428,60323101,60719398,60836867,61413192,61418010,61650817,61854742,62136183,62158237,62247387,62340358,62359074,62651303,62801188,62825398,62906182,63165711,63445328,63537534,63625415,64116022,64167631,64179711,64277062,64357558,64399595,64668337,64759798,64819962,65241958,65363101,65512544,65527994,65723542,66044278,66054337,66248507,66298395,66524902,66576839,66871100,66998184,67482338,67644118,67963318,68122822,68358732,68590897,68680582,68827703,68839798,68877944,68946410,69078502,69089841,69158038,69317062,69553537,69555478,69564567,69745201,70238450,70413757,70519127,70570122,70699201,70718288,71356922,71362717,71375994,71457622,71466978,71476700,71618331,71788647,72092024,72484102,72720598,72866077,73114438,73157668,73239037,73298203,73586518,73665142,73672468,73701612,74036027,74166397,74262860,74460711,74480570,74683047,74701204,74719357,74722615,74842582,75077638,75178177,75197275,75372957,75577943,75781942,75804890,76016422,76172662,76288751,76350498,76503495,76724701,77175601,77279514,77419623,77487687,77575942,77803837,77887078,78061235,78339517,78610730,79516342,79558074,79748518,79899195,80018737,80076143,80135158,80245320,80290915,80830102,80989115,81061462,81103527,81603728,81674978,81754678,82144443,82523398,82613595,82617217,82735692,82768184,82873501,83235770,83322831,83398948,83596918,83976577,83978440,84012050,84132502,84286140,84361798,84397597,84565501,84819958,85225808,85400701,85462675,85595008,85748234,85772040,85815601,85886758,85965971,85981057,86144007,86804017,86909810,87026278,87481078,87556822,87700957,87708262,87783958,87801951,87863101,88024957,88121168,88162198,89115432,89229697,89376684,89595862,89607011,89627677,89667138,89746438,89905216,89994004,90102877,90151607,90197782,90236730,90275985,90498358,90893450,90965868,91004308,91173718,91279537,91490176,91543463,91804194,91855911,91977757,92072182,92445862,92679087,92744518,92823217,93114207,93296714,93525028,93564502,93611420,93673482,93702207,93862198,94332876,94445432,94475745,94804635,95109770,95420902,95824177,95879034,96086758,96117937,96229551,96252512,96294384,96349098,96403340,96493545,96516602,96556417,96799547,96832695,96847297,96878995,97064701,97186938,97193638,97414582,97561798,97569457,97782502,98325290,98639197,98663878,98674424,98709937,98737222,98992177,99103702,99136314,99203101,99482152,99692737,99882924,...,136361364097598251711389224979927426616775504173698885203486847331454117356230159699305017823256781101444905605413500931753203074406053099135418626110351461235612245380682171670747862472047806698033295041140362858072165803103393270034347178553239873951598351026624860852243181296422202606194583500440008600023012703450720639699887520548829312240216451839345422811705964840746194446614120767275136617530647104096773396052367819292075126971990265050609149828437354700820731510129312815464017418329941514588475455314899069475419208122674873690933652769398724144327874834325431667036210144059969936994075454452676244065747230565805539620910086314317717080859554432308449168241207494747579481732195719712997782126082041160125210491376090718064427459424350794814945546230365175643998046886696432214657735936328538050406182118386510393833107195305043239105824572020251936665526021816048163085673302854890444556664120310218245311906833677864265074282367245834099060487768378989524023165474559260850623615691767537273268636944610624441477624344423794686423332223267407923016749506533307499868628831418185611301928624080016494431726187266067279472976319901497543389039399554586379782137356651399276129712722788269720818124889927253293867105116853980399260416752142125937415677797384690143273993300102320619694948284368168295804434772128778570798024168494265484889141204342793442776609184617304422005226148826545556647685463054090673005690545542341885893200006554146855329387770890597937842914827093833034831168963532452380010067936478298843933268991115460241997059851293244294401020210042893741615401261758400030460113519245576371654054893694281384863825901443651951406561597793350780803351446226783761670500047480158558264637124055103209900140114154484576851513461188025229028164948994637893308453630166045557736939675725665448942254920672996321920066857102435553376947978265702082761831107269626189399405620729793814767056502836895374397101731750449058666027001742491623244086704583197448794006921453282824304300543776553745620927148007725988983671954937924117437544021538148785415519007558751723364674009364365219090663229159119708300053214504821209856526905453490198963905545625059685186571035429500620116503588936001474086043129754194780663874037527555217845117400912955694887391145335313091819394323600661512254079533816724864313909147306588019693761395367507063147887352677429568313626585867051117369297071767620071601818082812696730521340141887375360542678143171549300181956285394305702986202056807165553060596089222128563404097846834206137808174843786211938765113143629164334570517149656835478250257745734380473250906180458089843255349893543197869125907389184751870435710502986271784554809873054107410933147429511055320857472111281020105459391341760054147328590157388857453170653115511705030622277225118512354725163874318668258612634653032548836108523182115235494247698429242756545829797584849621709776014807610916667375935347368759361761424281896792361249279709959158176413576420415499481854777651856838181027786117419147823415375001924827231877624298631322253380017301333613942675186139226412591364649955950874052860058354676214433948797508054124639098659155238571818372249663411491636762742741189527402100804521603115861070887054167674689654282855446099889835812640829973932810259493874855778068864886668306060731672536989028238341071391561618006786360487774982471127989018675460302899904687072476185919033604803099348454547508845530590218406081374196697051264359979839223200950116447337600284199098749160853128152466777476136067978605813873762512150175836044944980492467336034708917382045235589469743389592270324688064906169028612085673802054448209025638895032316926388002}
23103  30338170705129908476331595077707107855415966654195813326031695330162887253339: {92396,900393,1269785,1315617,1523742,1961885,2007177,2262526,2354262,2559993,2792801,2836257,2974353,3232180,3250473,3878616,4078257,4200742,4216137,4363443,4617400,4726685,4905177,5042913,5194575,5455977,5540880,5672022,5698537,5731233,5910272,5972281,6001060,6143937,6233490,6649056,6693873,6796505,6938953,7108948,7201272,7357097,7380753,7428862,7480188,8101431,8155806,8174585,8531830,8752713,9017633,9292777,9437793,9574737,9643678,9809502,9912790,10009342,10155640,10197382,10238196,10612660,10800601,10806153,11088493,11216193,11367101,11425095,11895348,11943526,12186768,12197153,12308577,12728401,12735192,13232422,13263153,13431737,13578217,13671897,13710114,14299060,14327091,15304713,15429430,15712377,15726238,15728285,16391337,16527057,16577953,16651486,16964535,17062180,17096422,17158872,17257108,17386486,17979401,18095504,18183430,18261997,18408161,18515316,18583942,18727156,18765142,18824497,18873942,18903460,19303731,19371633,20047353,20153566,20195875,20357442,20474616,21396993,21599326,21666633,21725777,21820116,21843133,21876185,22142401,22519937,22557485,22609617,22684152,23033943,23096081,23527462,23632297,23682790,23820297,24235050,24297862,24423460,24492057,24547544,25404406,25431513,25519671,25833777,25850720,25958585,26101833,26251422,26738782,26753080,27068982,27306897,27316505,27583348,27615987,27841857,28069913,28156102,28419348,28643577,28851250,28994173,29082060,29300641,29308152,29311017,29423284,29797396,30097215,30510897,30697657,30856180,30904918,31020864,31043553,31150302,31191992,31239497,31309737,31385801,31442793,31449748,31526701,31916257,32057885,32103696,32457233,32506377,32512102,32779806,32876175,32971671,33037593,33086801,33610660,33685942,34189876,34621500,34769956,34898472,35067920,35090991,35326486,35383277,35433785,35897878,36064276,36116658,36520822,36929600,36965302,37027416,37603577,37645726,37669353,37911913,38198260,38460417,38469462,38698301,39215782,39260781,39451410,39472985,39993118,40030424,40102582,40303636,40332792,40434297,40816505,41181735,41427718,41545800,41616033,41655843,41747217,42081504,42114142,42489382,42520542,42533817,42558433,43513801,43581273,43927184,43973673,44131133,44169005,44280958,44315520,44365857,45034227,45374391,45460516,45507485,45765748,45837912,46380406,46445860,46453857,46679512,46739025,47269888,47341692,47363177,47367582,47512505,47625657,47648788,47765816,48115001,48275817,48501502,48780148,48842680,48979806,49025875,49067062,49185033,49418082,49487295,49854960,49917553,50352297,50415526,50740953,51567651,52178285,52432726,52514451,52786448,53002806,53178624,53321656,53326473,53362678,53612175,53736543,54100257,54172505,54608982,54873177,54948015,55001913,55259313,55387977,55514662,55644257,55735032,56086830,56307316,56309857,56536553,56930073,57015006,57113302,57186320,57300473,57323476,57434326,58099421,58539718,58587617,58611216,58623411,58831050,58841464,59384754,59783284,59825952,59986863,60080537,60163060,60268201,60387153,60642537,61389982,61790577,61804468,61878502,62083678,62104093,62554857,62613942,62701911,62753120,62776685,62936673,63047926,63080521,63318273,63972075,64158622,64207833,64238308,64334610,64461777,64585702,64842513,65007006,65379640,65730057,65937618,66069785,66196647,66242833,66594392,66869457,67287917,67304196,67366036,67627977,67865908,68057197,68236880,68385633,68623584,69055006,69287860,69353885,69394497,69706001,69789775,70150137,70214655,70275993,70508801,70597260,70646836,70653417,70919902,70986337,71310790,71403262,71784393,71789524,71905108,72022180,72122296,72195672,72293393,72411873,72422161,72788073,73164057,73252822,73481135,73552095,74040513,74322872,74572582,74895632,74918691,75050535,75243197,75303744,75332022,75633862,75817222,76538193,76766490,77036577,77106022,77201532,77509924,77591977,77762326,77976003,78424756,78455568,78501485,78667064,79283742,79306660,80053126,80053904,80638377,81133593,81137583,81157942,81220131,81412918,81875697,81884256,81890680,82493457,82639753,82848244,82996516,83145432,83224662,83588875,83613231,83727177,83747730,83828477,83906953,83973633,84174238,84220948,84257586,84716712,84835473,85081497,85448415,85572948,86097430,86340121,86426616,86678313,87046883,87160457,87511993,88177362,88212881,88262514,88295537,88397860,88484326,88500447,88760337,89330912,89345875,89493513,89617673,90050662,90060642,90115030,90249142,90377182,90520733,90926953,91079097,91128701,91144976,91146953,91447085,92090585,92119788,92127015,92679613,92752756,92782113,92828575,93010462,93376505,93510537,93538611,94093496,94201782,94238097,94283417,94359273,95081501,95154166,95167992,95289304,95306301,95491108,95554462,95673017,95718196,95778673,96174033,96233897,96415593,96474553,96536337,96862057,97139697,97229943,97862937,97938526,98268816,98291991,98585313,99066417,99197182,99280948,99522982,99577396,99787353,...,204542046146397377567083837469891139925163256260548327805230270997181176034345239548957526734885171652167358408120251397629804611609079648703127939165527191853418368071023257506121793708071710047049942561710544287108248704655089905051520767829859810927397526539937291278364771944633303909291875250660012900034519055176080959549831280823243968360324677759018134217558947261119291669921181150912704926295970656145160094078551728938112690457985397575913724742656032051231097265193969223196026127494912271882713182972348604213128812184012310536400479154098086216491812251488147500554315216089954905491113181679014366098620845848708309431365129471476575621289331648462673752361811242121369222598293579569496673189123061740187815737064136077096641189136526192222418319345547763465997070330044648321986603904492807075609273177579765590749660792957564858658736858030377904998289032724072244628509954282335666834996180465327367967860250516796397611423550868751148590731652568484286034748211838891275935423537651305909902955416915936662216436516635692029634998334901111884525124259799961249802943247127278416952892936120024741647589280899100919209464479852246315083559099331879569673206034977098914194569084182404581227187334890879940800657675280970598890625128213188906123516696077035214910989950153480929542422426552252443706652158193167856197036252741398227333711806514190164164913776925956633007839223239818334971528194581136009508535818313512828839800009831220282994081656335896906764372240640749552246753445298678570015101904717448265899903486673190362995589776939866441601530315064340612423101892637600045690170278868364557481082340541422077295738852165477927109842396690026171205027169340175642505750071220237837396955686082654814850210171231726865277270191782037843542247423491956839962680445249068336605409513588498173413382381009494482880100285653653330065421967398553124142746660904439284099108431094690722150584754255343061595652597625673587999040502613737434866130056874796173191010382179924236456450815664830618431390722011588983475507932406886176156316032307223178123278511338127585047011014046547828635994843738679562450079821757231814784790358180235298445858318437589527779856553144250930174755383404002211129064694631292170995811056291332826767676101369433542331086718002969637729091485400992268381119300725087296470863720959882029540642093051260594721831029016144352470439878800576676053945607651430107402727124219045095782010212831063040814017214757323950272934428091458554479303085210748329590894133833192845106146770251309206712262265679317908147669715443746501855775724485253217375386618601570709876359270687134764883024840314796803688861083777127805653565754479407676832214809581161116399721144266582981286208166921530158189087012640081220992885236083286179755979673267557545933415837677768532087745811478002387918951979548823254162784773172853241371547643864134818744696377274432564664022211416375001063903021053139042642136422845188541873919564938737264620364630623249222782166477785257271541679176128721735123062502887240847816436447946983380070025952000420914012779208839618887046974933926311079290087532014321650923196262081186958647988732857857727558374495117237455144114111784291103151206782404673791606330581251512034481424283169149834753718961244960899215389240812283667103297330002459091097508805483542357511607087342427010179540731662473706691983528013190454349857030608714278878550407204649022681821263268295885327609122061295045576896539969758834801425174671006400426298648123741279692228700166214204101967908720810643768225263754067417470738701004052063376073067853384204615084388405487032097359253542918128510703081672313538458342548475389582003}
23104  30446872077192021596867275401847378287150677171753172650318713833281489544433: {115495,138594,392479,530863,945583,1083679,1200524,1430402,1754156,1910743,1983074,2031656,2285613,2323303,2676236,2811002,3009463,3139016,3362234,3393789,3413324,3531393,3781676,3830479,3965804,4040225,4333964,4512679,4848270,5012474,5171488,5193079,5328943,5437676,5621516,5736103,5771750,5817924,6301113,6383714,6540236,6683623,6723884,6926100,7223479,7274636,7387840,7501325,7562696,7641644,8031103,8191916,8297402,8311320,8508033,8702143,8865408,8886185,8925164,9001590,9350235,9601696,9841004,9973584,10438423,10571479,10663422,10801908,10874408,11019002,11102983,11143293,11220282,11670284,12233709,12583724,12690583,12694550,12766316,12797745,13079336,13265825,13349023,13650928,14408204,14465517,14714253,14869185,14954924,15014013,15233460,15296073,15357294,15833566,15860464,15918990,16249024,16411436,16980256,17003023,17684204,17778679,17843022,17873825,17915289,18229196,18280152,18294343,18423079,19065679,19102788,19631354,19848633,20217823,20406284,20565171,20949836,20963714,20982679,21327725,21448590,21479101,21491143,21571385,21855116,22036076,22378183,22619380,22757263,22878496,23144145,23408945,23589357,23629325,24016183,24687088,24977229,25165256,25593270,25644633,25730402,25738308,25828844,25885662,26079729,26139823,26729804,26760463,27046202,27143256,27275145,27292993,27299488,27772974,27833954,27875913,27996343,28090734,28147713,28310913,28355190,28365703,28529324,28888844,29093488,29667002,29714479,30146156,30230349,30245536,30529325,30536163,30684430,30707501,30711924,31760396,32144479,32265223,32313400,32398989,32656076,32730174,32792954,33441350,33908684,34026228,34067743,34426303,34445036,34479185,34664983,34802444,35001896,35026621,35141479,35291193,35524185,36091976,36156002,36327679,36352575,36409196,36446793,36635190,36671234,36779105,36800143,36821316,36928634,37122476,37246745,37892464,38093479,38106609,38191436,38436286,38570225,38776080,38989990,39077536,39081356,39312185,39377133,39843079,40108173,40129620,40538383,40603473,40681196,40844573,41361152,41375022,41391404,41533736,41746316,41795089,41923724,42013325,42150679,42234153,42265303,42629022,42737345,42804928,43276875,43341836,43462445,43623090,43706408,43748863,43824002,43834900,43862479,43962228,44050124,44134926,44583674,44696094,44881783,45080345,45846914,46119679,46162000,46188142,46284270,46351202,46357377,46531296,46656449,46725453,46787988,46854914,47174622,47747825,47793679,48155544,48458743,48768153,48790303,48900679,49169709,49369888,49890823,50038030,50110063,50225804,50379545,50415990,50438383,50528913,51093079,51280556,51284814,51292616,51486281,51932250,52154934,52347708,52601880,52989729,53021837,53685943,53777056,53846402,53846817,53912396,54096414,54174987,54434383,54781233,54908980,54966823,55285423,55394400,55447953,55488044,55541124,55662956,56066153,56108672,56448079,56468589,56694056,56711756,56808194,56825645,57207185,57297390,57602023,57704193,58057325,58108364,58270093,58349390,58631564,58643503,58823673,59058079,59087360,59154476,59177115,59560985,59574679,59707270,59989677,60045636,60153873,60455454,60499188,60975185,61011583,61053350,61117216,61724743,61938476,61941434,62141577,62318700,62911994,63107009,63122256,63140479,63156776,63171213,63500876,63542383,63734073,63780813,64173197,64363514,64367756,64542103,65032513,65306408,65533678,65580044,65890776,65983060,66421437,66473280,66531074,66652070,67107679,67136396,67654604,67969634,68190774,68648622,68756868,68833681,69048079,69144343,69164474,69570609,69641402,69668790,70019268,70047166,70384145,70670408,70904832,71012538,71051373,71101964,71338543,71433079,71473182,71482900,71543354,71648724,71654345,71810503,72133676,72752253,72811976,73164236,73170222,73264020,73304561,73335884,73401703,73469709,73551830,73600593,73672034,73679084,73850636,74042449,74127123,74313376,74729105,74782440,75203825,75247063,75612679,75623289,75834473,75906764,76020008,76023554,76257914,77255585,77513263,77782183,78148288,78164548,78441400,78649089,78762679,79179672,79504209,79751854,79767936,79982484,80044017,80297885,80516204,80856716,80892977,81724550,81839354,81910663,81913473,81921521,82168783,82331809,82387436,83242990,83271993,83378141,83406476,83485256,83602548,83915564,83957479,84130245,84207545,84424364,84460974,84832385,84881743,85296100,85522509,85610444,85669953,85714423,85779480,85949036,85985214,86151489,86375383,86456684,86539903,86609825,86625149,86676008,86949943,87195103,87565154,87640076,87764623,87792314,87809577,87916824,88088479,88246575,88262196,88308545,88812943,89075581,89077131,89159276,89674926,89736905,89738928,89830274,89881385,90027725,90152870,90159433,90165463,90170636,90244590,91180844,91498112,92080994,92084973,92424679,92525996,92706702,92817753,92903590,93125517,93533516,93619540,93701324,93920913,94129680,94204556,94323679,94571889,94881182,95430074,95712524,96237933,96260896,96357462,96501915,96524974,96543079,96549164,96878553,96887405,96906679,97050764,97196263,97510509,97552076,98030945,98069460,98306402,98333830,98720684,98746754,98906427,99133325,99150953,99331423,99401479,99891588,...,272722728195196503422778449959854853233551008347397770406973694662908234712460319398610035646513562202889811210827001863506406148812106198270837252220702922471224490761364343341495724944095613396066590082280725716144331606206786540068694357106479747903196702053249721704486362592844405212389167000880017200046025406901441279399775041097658624480432903678690845623411929681492388893228241534550273235061294208193546792104735638584150253943980530101218299656874709401641463020258625630928034836659883029176950910629798138950838416245349747381867305538797448288655749668650863334072420288119939873988150908905352488131494461131611079241820172628635434161719108864616898336482414989495158963464391439425995564252164082320250420982752181436128854918848701589629891092460730351287996093773392864429315471872657076100812364236773020787666214390610086478211649144040503873331052043632096326171346605709780889113328240620436490623813667355728530148564734491668198120975536757979048046330949118521701247231383535074546537273889221248882955248688847589372846664446534815846033499013066614999737257662836371222603857248160032988863452374532134558945952639802995086778078799109172759564274713302798552259425445576539441636249779854506587734210233707960798520833504284251874831355594769380286547986600204641239389896568736336591608869544257557141596048336988530969778282408685586885553218369234608844010452297653091113295370926108181346011381091084683771786400013108293710658775541781195875685829654187666069662337927064904760020135872956597687866537982230920483994119702586488588802040420085787483230802523516800060920227038491152743308109787388562769727651802887303902813123195586701561606702892453567523341000094960317116529274248110206419800280228308969153703026922376050458056329897989275786616907260332091115473879351451330897884509841345992643840133714204871106753895956531404165523662214539252378798811241459587629534113005673790748794203463500898117332054003484983246488173409166394897588013842906565648608601087553107491241854296015451977967343909875848234875088043076297570831038015117503446729348018728730438181326458318239416600106429009642419713053810906980397927811091250119370373142070859001240233007177872002948172086259508389561327748075055110435690234801825911389774782290670626183638788647201323024508159067633449728627818294613176039387522790735014126295774705354859136627253171734102234738594143535240143203636165625393461042680283774750721085356286343098600363912570788611405972404113614331106121192178444257126808195693668412275616349687572423877530226287258328669141034299313670956500515491468760946501812360916179686510699787086395738251814778369503740871421005972543569109619746108214821866294859022110641714944222562040210918782683520108294657180314777714906341306231023410061244554450237024709450327748637336517225269306065097672217046364230470988495396858485513091659595169699243419552029615221833334751870694737518723522848563793584722498559419918316352827152840830998963709555303713676362055572234838295646830750003849654463755248597262644506760034602667227885350372278452825182729299911901748105720116709352428867897595016108249278197318310477143636744499326822983273525485482379054804201609043206231722141774108335349379308565710892199779671625281659947865620518987749711556137729773336612121463345073978056476682142783123236013572720975549964942255978037350920605799809374144952371838067209606198696909095017691061180436812162748393394102528719959678446401900232894675200568398197498321706256304933554952272135957211627747525024300351672089889960984934672069417834764090471178939486779184540649376129812338057224171347604108896418051277790064633852776004}
23105  30555960363455680794934348846750562579298701772904777788097045178946791601629: {184792,207891,1500655,1777699,1800786,2145603,2192695,2539570,2631234,2746639,2974611,3047484,3300583,3345295,3923770,4014354,4216503,4266655,4525052,4708524,4727095,4957255,5043351,5119986,5417455,5585602,5672514,5836963,5948706,6464360,6500946,6617359,6667519,6797095,7026895,7272405,7518711,7757232,7864483,8156514,8175295,8401484,8404855,8432274,8657625,8694751,8726886,9093295,9234800,9384199,9453370,9515107,9552055,9575571,9810354,10078531,10085826,10239895,10389150,10396903,10911954,11081760,11156455,11344044,11368087,11397074,11444419,11462466,11820544,11944562,12002120,12151039,12198211,12287874,12301255,12446103,12466980,12704407,13298112,13387746,13432903,13502385,13593010,13877906,14217896,14402544,14587855,14714194,14761506,14857724,14960376,15376351,15729655,15873871,15957895,15995133,16202862,16311612,16349170,16528503,16830423,16970899,17063660,17505426,18010255,18035266,18409759,18485863,18585554,18693655,18875586,19041825,19149474,19287356,19619004,19825580,20018684,20311280,20394764,20476392,20514295,20573827,21009043,21225320,21248383,21601202,21612306,21727663,22019599,22105255,22176986,22432386,22734202,22785571,22786495,22850190,23035941,23098087,23750349,23790696,23878485,23878999,23887052,24373536,24394306,24617154,24720847,25456802,25470384,25507855,25545223,25813267,26187295,26220919,26464844,26526306,26614471,26764533,26863474,27156434,27318895,27343794,27420228,27545095,27781519,28072351,28274225,28598120,28654182,29447031,30609426,30626659,30858860,31388527,31424754,31445571,31452476,31456570,31580479,32172885,32286055,32298463,32782674,33054114,33089683,33155906,33302972,33412255,33550339,33929070,34124360,34192844,34317744,34514216,34772972,34931959,35661655,35958802,36111055,36191008,36275731,36342019,36366860,36523994,36816322,37030632,37167884,37454312,37530284,37576963,37648994,37682695,37747884,37806920,37823503,38108323,38243107,38389905,38595603,38607462,38743266,38828493,39102583,39382087,39612199,39700495,40033519,40094706,40307132,40391750,40569303,40586023,40714884,40820095,40949232,41659461,41750931,41796451,42136101,42385855,42532785,42793986,43056295,43198652,43333266,43451554,43503055,43618663,43640232,43686266,43752370,44284802,44353759,44440591,44500503,44881039,45039874,45114970,45219234,45368304,45511495,46026645,46067886,46192162,46403095,47054924,47066671,47264594,47365580,47640594,47739295,48470100,48595724,48618823,48697351,48846920,48851695,48984114,49095088,49095261,49189431,49323031,49572799,49607299,50002903,50162025,50629603,50808812,50831299,50851495,50863026,51039342,51667554,51701440,51739255,51917170,52182895,52203666,52404655,52502844,53477564,53506160,54137964,54177295,54234003,54613794,54633010,54793625,54952785,55006851,55062655,55166696,55231974,55262179,55344151,55392951,55683714,56102563,56139826,56312204,56838696,56863183,57143107,57287154,57530503,57593311,57654429,57702500,57988346,58164120,58358611,58484985,58592743,58601282,58616304,58622034,58846568,58879279,59594792,60194430,60583303,61021794,61395314,61712360,61809836,61836607,62041728,62062533,62087106,62300604,62383984,62478994,62619474,62771602,62782255,62885586,62899496,63053402,63710479,63832514,63943533,64100695,64115770,64207392,64914466,64934647,65012754,65024204,65072719,65434635,65559612,65736003,65752350,65943342,66075186,66173602,66202389,66517507,66875511,66932623,67044141,67221320,67371884,67390495,68379752,68620351,68636225,68770371,69239911,69243000,69282213,69360055,69426405,69523399,69526803,69539912,69578695,69796944,70135840,70181982,70282371,70484839,70652972,70761933,70766554,70867570,70889695,71004271,71010643,71795756,71899111,71928463,72128552,72233316,72635455,73041644,73049599,73289455,73348771,73859200,73930604,73943095,74054832,75057045,75207154,75249751,75291452,75338706,75623985,75823826,75841507,76396520,76920834,76927221,76938924,76951699,77396602,77423095,77898375,77906707,77940643,78232401,78431564,78521562,78902820,78945970,79376095,79423399,79986236,80060848,80205164,80432383,80459695,80607272,80665584,80769603,80868594,81144621,81633010,81975055,82059799,82363470,82478825,82855436,83091600,83232066,83311686,83328583,83494434,83920495,84163008,84228284,84568255,84978764,85041084,85067634,85116866,85212291,85946085,87027602,87162546,87524085,87854368,87887359,87917671,87947346,88220599,88262266,88303303,88338010,88561916,88631040,88731714,88877455,88990087,89353625,89560905,90068454,90167095,90683181,90748782,90902599,90921032,91014970,91455295,91531496,91580025,91669855,91675824,91748899,92098855,92313295,92459047,92497699,92760812,92891720,92907714,92912151,93171523,93224263,93359024,93478050,94367991,94539776,94683384,94726354,94735164,94883455,95025010,95089783,95251314,95297576,95336863,95531632,96187951,96230002,96545271,96551634,96964303,97003004,97095439,97413439,97560296,97685360,97705685,97959612,98051750,98134124,98300517,98370066,98590867,98836164,98944711,98974590,99117799,99496063,99709920,99719623,99796611,99835106,99978105,...,409084092292794755134167674939782279850326512521096655610460541994362352068690479097915053469770343304334716816240502795259609223218159297406255878331054383706836736142046515012243587416143420094099885123421088574216497409310179810103041535659719621854795053079874582556729543889266607818583750501320025800069038110352161919099662561646487936720649355518036268435117894522238583339842362301825409852591941312290320188157103457876225380915970795151827449485312064102462194530387938446392052254989824543765426365944697208426257624368024621072800958308196172432983624502976295001108630432179909810982226363358028732197241691697416618862730258942953151242578663296925347504723622484242738445196587159138993346378246123480375631474128272154193282378273052384444836638691095526931994140660089296643973207808985614151218546355159531181499321585915129717317473716060755809996578065448144489257019908564671333669992360930654735935720501033592795222847101737502297181463305136968572069496423677782551870847075302611819805910833831873324432873033271384059269996669802223769050248519599922499605886494254556833905785872240049483295178561798201838418928959704492630167118198663759139346412069954197828389138168364809162454374669781759881601315350561941197781250256426377812247033392154070429821979900306961859084844853104504887413304316386335712394072505482796454667423613028380328329827553851913266015678446479636669943056389162272019017071636627025657679600019662440565988163312671793813528744481281499104493506890597357140030203809434896531799806973346380725991179553879732883203060630128681224846203785275200091380340557736729114962164681082844154591477704330955854219684793380052342410054338680351285011500142440475674793911372165309629700420342463453730554540383564075687084494846983913679925360890498136673210819027176996346826764762018988965760200571307306660130843934797106248285493321808878568198216862189381444301169508510686123191305195251347175998081005227474869732260113749592346382020764359848472912901631329661236862781444023177966951015864813772352312632064614446356246557022676255170094022028093095657271989687477359124900159643514463629569580716360470596891716636875179055559713106288501860349510766808004422258129389262584341991622112582665653535352202738867084662173436005939275458182970801984536762238601450174592941727441919764059081284186102521189443662058032288704940879757601153352107891215302860214805454248438090191564020425662126081628034429514647900545868856182917108958606170421496659181788267666385690212293540502618413424524531358635816295339430887493003711551448970506434750773237203141419752718541374269529766049680629593607377722167554255611307131508958815353664429619162322232799442288533165962572416333843060316378174025280162441985770472166572359511959346535115091866831675355537064175491622956004775837903959097646508325569546345706482743095287728269637489392754548865129328044422832750002127806042106278085284272845690377083747839129877474529240729261246498445564332955570514543083358352257443470246125005774481695632872895893966760140051904000841828025558417679237774093949867852622158580175064028643301846392524162373917295977465715715455116748990234474910288228223568582206302413564809347583212661162503024068962848566338299669507437922489921798430778481624567334206594660004918182195017610967084715023214174684854020359081463324947413383967056026380908699714061217428557757100814409298045363642526536591770655218244122590091153793079939517669602850349342012800852597296247482559384457400332428408203935817441621287536450527508134834941477402008104126752146135706768409230168776810974064194718507085836257021406163344627076916685096950779164006}
23106  30665436932045665482872307396140855850130599549035641095044117884803544207007: {161693,230990,277188,438653,784958,991709,1061726,1083773,1221809,1543613,1819133,1891166,2048513,2167358,2369309,2401048,2598209,2701179,2860804,3508312,3739709,3809355,3821486,3946851,3966148,4063312,4558493,4571226,4646606,5238833,5352472,5622004,5656315,5885655,6018926,6021531,6278032,6724468,6787578,6826648,7062786,7563352,7660958,7673153,7679979,7931608,8080450,8345213,8378403,8508771,8613533,8667928,8836913,8923059,9015473,9025358,9283073,9696540,9751419,10024948,10342976,10386158,10483709,10501855,10572413,10657886,10875352,11015453,11243032,11472206,11543500,11635848,12234771,12440659,12559793,12602226,12648411,12691709,12767428,13080472,13090329,13367246,13447768,13852200,14180055,14446958,14549272,14661809,14715531,14775680,14792573,15002650,15097409,15125392,15128739,15283288,15583725,15879473,16062206,16367931,16383832,16529213,16594804,16622640,16918193,17016066,17095611,17193699,17404286,17730816,17772370,17850328,17916843,18003180,18338909,18424733,18431811,18467633,18572155,18700470,19110173,19203392,19494833,19682008,19947168,20081619,20389515,20816859,20876846,20984573,21111809,21142958,21326844,21329575,21603816,21620033,21746909,21748816,22038004,22042673,22071291,22142259,22205966,22286586,22380209,22440564,22801409,22927613,23340568,23557553,24060209,24109195,24269309,24304293,24394673,24467418,24523755,24781975,24812033,25023355,25167448,25381166,25389100,25493455,25519709,25532632,25595490,26158672,26258139,26531650,26556209,26698046,27052899,27301856,27878331,28122113,28313379,28409309,28491293,28724211,28737053,28816408,28931034,29428506,29717213,29738370,29858815,29909848,30028026,30199939,30466920,30592146,30714588,30854909,31057409,31582973,31667132,31720928,31837980,32187713,32268209,32401803,32418459,32498048,32772523,32822872,33081055,33265479,33271709,33391793,33648579,33960512,34006046,34070909,34101303,34275285,34548893,34668209,34787453,35368408,35557358,35686044,35747650,35830578,36290683,36370493,36458392,36560304,36567473,36588686,36591459,36842909,36846158,36925731,37549373,38018909,38097053,38131358,38136113,38185203,38205576,38573575,38798909,39262708,39315595,39697266,39789459,39885533,40295211,40435646,40542209,40734651,40812568,41015691,41130342,41234993,41628715,41899672,41927428,41965358,42192893,42536513,42655450,42741055,42897180,42955613,42958202,42981273,42982286,43142770,43466215,43710232,43790909,43866653,43904513,44072152,44756366,44923709,45238760,45458575,45514526,45756992,45914139,46049309,46124093,46288290,46459855,46817890,46912855,47137131,47178714,47184855,47258650,47798273,48032366,48270859,48463409,48721373,48905393,49174011,49374176,49492913,49581171,49676093,49733859,49954458,50330512,50383915,50893605,50916413,51186540,51289266,51460804,51476616,51490747,51657688,51771324,52145443,52159458,52279646,52291709,52543793,53459608,53520926,53938203,53998315,54092404,54286512,54439709,54550290,54585986,54598976,54785991,55037059,55078493,55220093,55224483,55326209,55545948,55667908,55751826,55961393,55992686,56031809,56181468,56295426,56473491,56621826,56710380,56731406,57058648,57189053,57503153,57777688,57851393,57911193,58114899,58186976,58372253,58818655,59206975,59334004,59428958,59580593,59683709,59832283,60142059,60292312,60300893,60460698,60491072,60587625,60744655,60847423,61058650,61072326,61368860,61415002,61423848,61730909,62170673,62662171,63112483,63180353,63481853,63511015,63520792,63982913,64190979,64288958,64530446,64581809,64626800,64797978,64999899,65177331,65312152,65460348,65529399,65574209,65585908,65628555,65837633,66067709,66133373,66259999,66427203,66820913,66846955,66882700,67114493,67559811,67672455,67817368,67828851,68052456,68135486,68852606,68890072,68958370,69087233,69101829,69288243,69329966,69375773,69604888,70003792,70053242,70282958,70390255,70491713,70531363,70582386,70586909,70808753,70896891,70903709,71048370,71156573,71377409,71440433,71460891,72100253,72128125,72183952,72225533,72312004,72319409,72655358,72705150,72818392,72893586,73270380,73316273,73342468,73476171,73558210,73600286,73642632,73857268,73873409,74089373,74244952,74493490,75254909,75559709,75784928,75841051,75924413,76186958,76213218,76294539,76382872,76559013,76710653,76831133,76872572,77140450,77262295,77501331,77552160,77820209,77875755,77979980,78155072,78162712,78305499,78326333,78415409,78624370,78754266,78800573,79555903,79686158,80090059,80216346,80259240,81076766,81206946,81280255,81362392,81574193,81689146,81689393,81775709,81920691,81928627,81949515,82722304,82750044,82782808,82847961,83067472,83385379,83492632,83525571,83590178,83847448,83910209,83994653,84026650,84050909,84209739,84214855,84301358,84468306,84530606,84667613,84890909,85169309,85258044,85365259,85474690,85609856,85806593,85930731,85999709,86137409,86219933,86471803,86553750,86632663,86683672,86924890,86982519,87246180,87412816,87497726,87648004,87669800,87724958,87774209,87855293,87901923,87924456,87933051,88098113,88100248,88269852,88316215,88902833,89062913,89167348,89392188,89622559,89700353,89744695,89763566,89964593,90160690,90175409,90291645,90359453,90647873,91299773,91302055,91532691,91559347,91693828,92075453,92092971,92239358,92324000,92376284,92413255,92434973,92568540,92690813,92702404,92714754,93062592,93073073,93130659,93312898,93450906,93575976,93709828,93718491,93929211,94108733,94114315,94157403,94328379,94349244,94580103,94658909,95495650,95526209,95587358,95600093,95600791,95748771,96066353,96173655,96212993,96311088,96578333,96626909,96816343,96917486,96917693,97159133,97371699,97519131,97536306,97580606,97801358,98039455,98306909,98339418,98496413,98537803,98628525,98708993,98739776,98915013,99085313,99112779,99260403,99412913,99781646,99982795,...,613626138439192132701251512409673419775489768781644983415690812991543528103035718646872580204655514956502075224360754192889413834827238946109383817496581575560255104213069772518365381124215130141149827685131632861324746113965269715154562303489579432782192579619811873835094315833899911727875625751980038700103557165528242878649493842469731905080974033277054402652676841783357875009763543452738114778887911968435480282235655186814338071373956192727741174227968096153693291795581907669588078382484736815648139548917045812639386436552036931609201437462294258649475436754464442501662945648269864716473339545037043098295862537546124928294095388414429726863867994945388021257085433726364107667794880738708490019567369185220563447211192408231289923567409578576667254958036643290397991210990133944965959811713478421226827819532739296772248982378872694575976210574091133714994867098172216733885529862847007000504988541395982103903580751550389192834270652606253445772194957705452858104244635516673827806270612953917729708866250747809986649309549907076088904995004703335653575372779399883749408829741381835250858678808360074224942767842697302757628393439556738945250677297995638709019618104931296742583707252547213743681562004672639822401973025842911796671875384639566718370550088231105644732969850460442788627267279656757331119956474579503568591108758224194682001135419542570492494741330777869899023517669719455004914584583743408028525607454940538486519400029493660848982244969007690720293116721922248656740260335896035710045305714152344797699710460019571088986769330819599324804590945193021837269305677912800137070510836605093672443247021624266231887216556496433781329527190070078513615081508020526927517250213660713512190867058247964444550630513695180595831810575346113530626742270475870519888041335747205009816228540765494520240147143028483448640300856960959990196265902195659372428239982713317852297325293284072166451754262766029184786957792877020763997121507841212304598390170624388519573031146539772709369352446994491855294172166034766950426523797220658528468948096921669534369835534014382755141033042139643485907984531216038687350239465271695444354371074540705895337574955312768583339569659432752790524266150212006633387194083893876512987433168873998480303028304108300626993260154008908913187274456202976805143357902175261889412591162879646088621926279153781784165493087048433057411319636401730028161836822954290322208181372657135287346030638493189122442051644271971850818803284274375663437909255632244988772682401499578535318440310753927620136786797037953724443009146331239505567327173455759652126159855804712129629077812061404294649074520944390411066583251331383416960697263438223030496644428743483349199163432799748943858624500764590474567261037920243662978655708249858539267939019802672637800247513033305596263237434434007163756855938646469762488354319518559724114642931592404456234089131823297693992066634249125003191709063159417127926409268535565625621758694816211793861093891869747668346499433355771814625037528386165205369187508661722543449309343840950140210077856001262742038337626518856661140924801778933237870262596042964952769588786243560875943966198573573182675123485351712365432342335352873309453620347214021374818991743754536103444272849507449504261156883734882697646167722436851001309891990007377273292526416450627072534821262027281030538622194987421120075950584039571363049571091826142836635651221613947068045463789804887655982827366183885136730689619909276504404275524013019201278895944371223839076686100498642612305903726162431931304675791262202252412216103012156190128219203560152613845253165216461096292077760628754385532109245016940615375027645426168746009}
23107  30775303155892554350035728599816764653890541817096658144221264880980506607366: {346485,369584,415782,1177437,1592589,2100917,2836749,3001310,3069773,3251037,3555398,3576005,3601572,3900689,4291206,4385390,4683413,4957685,5079140,5262468,5493278,5732229,5949222,5973317,6094968,6601166,6617933,6690590,6856839,6898229,6940157,6969909,7027505,7451933,7584437,7847540,8028708,8405585,8433006,8533310,9028389,9050104,9294389,9385013,9417048,9454190,9515933,9837653,9914510,10086702,10181367,10239972,10594179,10834910,10904069,11090417,11171204,11345028,11445413,11491437,11673926,11766797,11897412,12120675,12152093,12287249,12531185,12705509,12730613,12928720,13001892,13234718,13335038,13372877,13538037,13580573,13594190,14053790,14335853,14429375,14500337,14544810,15037422,15514464,15579237,15619037,15728966,15875249,15959285,15986829,16313028,16350590,16436789,16802968,16809710,16864548,16972373,17208309,17221757,17315250,17389502,17453772,18186590,18469600,18768398,18903339,18906740,19030214,19104110,19151142,19620708,20001773,20050869,20056517,20157062,20171652,20422997,20479790,20575613,20743505,20778300,20793806,21670437,21823908,21846929,22021517,22163520,22312910,22341053,22503975,22688088,22736174,22787549,22794148,22888838,22924932,23641088,23881073,23889124,24004240,24093309,24302078,24396422,24575748,24602510,24722993,24828869,24892206,24933960,25214357,25408814,25524099,25815509,26051069,26106429,26171117,26425733,26596224,26658555,26688293,26775492,26865806,27004770,27186020,27547505,27755812,28050705,28435792,28564097,28720013,28805088,29175710,29305733,29428388,29523012,29715448,29920752,30189809,30752702,30903773,30947357,31049933,31315269,31459310,31714437,31736375,31747742,31901093,31915790,31990266,32405724,32623224,32698340,33057006,33308949,33429879,33553253,33660846,33941798,34127320,34934993,35010852,35469197,35710997,36020510,36070532,36635957,36662213,36701127,36819518,36971726,37171108,37387310,37751172,37915457,38071749,38083650,38246453,38298948,38393235,38563133,38574712,38635469,39105989,39238008,39583915,39651160,39797475,40037368,40047069,40622560,40717073,40789528,40952784,41028590,41147654,42018086,42098093,42450640,42496766,42565829,43202404,43224612,43396551,43455326,44039198,44142759,44210510,44353972,44607555,44710373,44864772,45037109,45042039,45136337,45200477,45468404,45571142,45572990,45700380,45888219,46071882,46196174,46517357,46777157,46814417,47500698,47581392,47756970,47757998,47774104,48747072,48788612,49078385,49234308,49441694,49577117,49926317,50233013,50555477,50913604,50940768,51009069,51015710,51090446,51549329,51626534,52055789,52374590,52409285,52441838,52442069,52755773,52929688,53052612,53228942,53336037,53529066,53621475,53726948,53745867,54312868,54637790,54687588,54840456,54883029,55090190,55269237,55404893,55563038,55580693,56144702,56548450,57024437,57148133,57196240,57197037,57308364,57458609,58894062,59160989,59340197,59545899,60278813,60336869,60653469,60904277,61218852,61253318,61695513,61717720,62777054,62849508,62891142,62904952,62913140,62948037,63160958,63716093,63983175,64326005,64345770,64437303,64473429,64572110,64596926,64714155,64964333,65565348,65806253,66108228,66179366,66303029,66311812,66605944,66824510,66835013,67100678,67134549,67615505,67858140,68248720,68271789,68385688,68392373,68635488,68818049,69028432,69245969,69432435,69545944,69584885,69863918,70197629,70226835,70768071,70887975,71192093,71323310,71598449,71917604,72048549,72222110,72382016,72404957,72434957,72551462,72684038,72728333,72733720,73047988,73056053,73352789,73366517,73632644,74061264,74167505,74335768,74336369,74908624,74931687,75060568,75153926,75297988,75365390,75495768,75613840,75647006,75848213,76216646,76486214,76711075,76779810,76933899,77087717,77191206,77214924,77486532,77656986,78205166,78239187,78419469,78441869,78764174,78777173,79224398,79400990,80067038,80189412,80281389,80439389,80614264,80783500,81138606,81172046,81429768,81640190,81825435,81878979,81898464,81982385,82164017,82450097,83318922,83501862,83592902,83603375,83627739,83921669,83989029,84272202,84443139,84771710,84932739,85065570,85097109,85587972,85930829,86112590,86397304,86666532,86903108,87006110,87237326,87280464,87372532,87504740,87895157,88569604,88707518,88881182,88997873,89001006,89143437,89740973,89762078,90079748,90229940,90390005,90438468,90691047,90736608,90910517,90942917,91022990,91587975,91608489,91678085,91713893,92053290,92111669,92122503,92135772,92321585,92384324,92601713,92806190,93864017,94109848,94133342,94346693,94529188,94707173,94731160,95281188,95478590,96090715,96433437,96795669,96940200,96972749,97104077,97191448,97196967,97237646,97394702,97410173,97474975,97693840,97703390,97968228,98190176,98190522,98378862,98599493,98646062,98835533,99126533,99145598,99214598,99245573,99459509,99728309,...,818168184585589510268335349879564559700653025042193311220921083988724704137380958195830106939540686608669433632481005590519218446436318594812511756662108767413673472284093030024487174832286840188199770246842177148432994818620359620206083071319439243709590106159749165113459087778533215637167501002640051600138076220704323838199325123292975873441298711036072536870235789044477166679684724603650819705183882624580640376314206915752450761831941590303654898970624128204924389060775876892784104509979649087530852731889394416852515248736049242145601916616392344865967249005952590002217260864359819621964452726716057464394483383394833237725460517885906302485157326593850695009447244968485476890393174318277986692756492246960751262948256544308386564756546104768889673277382191053863988281320178593287946415617971228302437092710319062362998643171830259434634947432121511619993156130896288978514039817129342667339984721861309471871441002067185590445694203475004594362926610273937144138992847355565103741694150605223639611821667663746648865746066542768118539993339604447538100497039199844999211772988509113667811571744480098966590357123596403676837857919408985260334236397327518278692824139908395656778276336729618324908749339563519763202630701123882395562500512852755624494066784308140859643959800613923718169689706209009774826608632772671424788145010965592909334847226056760656659655107703826532031356892959273339886112778324544038034143273254051315359200039324881131976326625343587627057488962562998208987013781194714280060407618869793063599613946692761451982359107759465766406121260257362449692407570550400182760681115473458229924329362165688309182955408661911708439369586760104684820108677360702570023000284880951349587822744330619259400840684926907461109080767128151374168989693967827359850721780996273346421638054353992693653529524037977931520401142614613320261687869594212496570986643617757136396433724378762888602339017021372246382610390502694351996162010454949739464520227499184692764041528719696945825803262659322473725562888046355933902031729627544704625264129228892712493114045352510340188044056186191314543979374954718249800319287028927259139161432720941193783433273750358111119426212577003720699021533616008844516258778525168683983244225165331307070704405477734169324346872011878550916365941603969073524477202900349185883454883839528118162568372205042378887324116064577409881759515202306704215782430605720429610908496876180383128040851324252163256068859029295801091737712365834217917212340842993318363576535332771380424587081005236826849049062717271632590678861774986007423102897941012869501546474406282839505437082748539059532099361259187214755444335108511222614263017917630707328859238324644465598884577066331925144832667686120632756348050560324883971540944333144719023918693070230183733663350711074128350983245912009551675807918195293016651139092691412965486190575456539274978785509097730258656088845665500004255612084212556170568545691380754167495678259754949058481458522492996891128665911141029086166716704514886940492250011548963391265745791787933520280103808001683656051116835358475548187899735705244317160350128057286603692785048324747834591954931431430910233497980468949820576456447137164412604827129618695166425322325006048137925697132676599339014875844979843596861556963249134668413189320009836364390035221934169430046428349369708040718162926649894826767934112052761817399428122434857115514201628818596090727285053073183541310436488245180182307586159879035339205700698684025601705194592494965118768914800664856816407871634883242575072901055016269669882954804016208253504292271413536818460337553621948128389437014171672514042812326689254153833370193901558328012}
23108  30885560412749495322458770540546562382390948094573036984316259186132312452879: {323386,461980,554376,623673,853627,877306,1543747,1569916,1819291,1983418,2123452,2167546,2232067,2443618,3087226,3638266,3782332,4097026,4334716,4501965,4738618,4802096,5196418,5333097,5402358,5721608,6348925,6436809,6578085,7016624,7479418,7539187,7618710,7642972,7893702,7918841,7932296,8126624,8239917,8345947,8923833,9116986,9142452,9283891,9293212,9809425,9901749,9951691,10035885,10351507,10477666,10704944,11016427,11244008,11312630,11771310,12037852,12043062,12208747,12556064,12649509,12799965,13000387,13448936,13575156,13653296,13658107,13964005,14125572,14181285,14702597,14837467,14871765,15126704,15130053,15321916,15346306,15359958,15863216,16160900,16252365,16270987,16530691,16690426,16756806,17017542,17227066,17335856,17510889,17673826,17846118,18030946,18050716,18469291,18566146,19393080,19502838,19852077,20002557,20049896,20391285,20391691,20685952,20772316,20774227,20967418,21003710,21080685,21144826,21315772,21750704,21817215,22030906,22044667,22486064,22556133,22944412,23087000,23271696,23559691,23593449,23633425,24469542,24525885,24563947,24881318,25119586,25204452,25214565,25296822,25383418,25534856,25688227,25972875,26001017,26084253,26160944,26180658,26734492,26895536,27054427,27279885,27301891,27704400,28152597,28165747,28360110,28492685,28545321,28656165,28726713,28780627,28893916,29098544,29323618,29431062,29551360,29585146,29861405,30004987,30005300,30194818,30235593,30250784,30257478,30566576,30719685,31167450,31190709,31343467,31585891,31758946,32124412,32735862,32767664,33034387,33058426,33189608,33245280,33394891,33469365,33752873,33836386,33982525,33994291,34032132,34104261,34191222,34333257,34387398,34591891,34694765,34808572,34830427,34949587,35032697,35461632,35544740,35690837,35700656,35833686,36006360,36453117,36594633,36677818,36785485,36849466,36863622,36903765,36935266,37144310,37338309,37400940,38113221,38139691,38220346,38406784,38958187,38989666,39364016,39540667,39894336,40163238,40298709,40507155,40779030,40872925,41277307,41633718,41753692,41802341,41967427,41969146,42223618,42285916,42653688,42659150,42888989,43207632,43240066,43493818,43497632,43763565,43908691,44076008,44085346,44142582,44284518,44411932,44573172,44760418,44881128,45088165,45266467,45602818,45604291,45855226,46129053,46313477,46390027,46463885,46681136,46949107,47115106,47188965,47621613,47873685,47985399,48120418,48218390,48538618,48608586,48789346,48934836,49047510,49277587,49497691,49563950,49585509,49624066,50046710,50334896,50491269,50762332,50778200,50912697,50921347,50986910,51039418,51065264,51190980,52317344,52516278,52548907,53063300,53112418,53396092,54003005,54030765,54105798,54603712,54693787,55041833,55229277,55437691,55442465,55457589,55756662,55966891,56080965,56244226,56283547,56626758,56818618,56835505,56982586,57125475,57448422,57474106,57632816,57862068,58280201,58857012,59434426,59476740,59717630,59819696,59837477,60056052,60341107,60399878,60648691,60852701,60933840,60955627,60985765,61184292,61363867,61429176,61542885,61669291,61709818,61721481,62114818,63027129,63165946,63334264,63387787,63441856,63642005,63675960,63745149,63989347,64184329,64375426,64536418,64803606,64836918,64996096,65043797,65182989,65481907,65545046,65645744,65677997,65877187,66058797,66162110,66315765,66530958,66543418,66783586,66860347,67158685,67297158,67891085,67921024,68012092,68141818,68202606,68356713,68359485,68550570,68611891,68805067,69097786,69107823,69294261,69336418,69574906,70340107,70537481,70720987,70736816,70816027,71114716,71251047,71372088,71495300,71635455,71636997,71661156,71668147,72232987,72581366,72740986,72916784,73120608,73134946,73177372,73182918,73317277,73685818,73692316,73851462,74055293,74162541,74558587,74742691,75098746,75597641,75932347,76037818,76194106,76262716,76272226,76370406,76411152,76523565,76635669,76748827,76839187,77147150,77289907,77439801,77597818,77917891,78364291,78525416,78561885,78631190,78641425,78662757,79394532,79578918,79771066,79843413,80293599,80590422,80871292,80907013,81084418,81469302,81625136,81956685,82031382,82260684,82346117,82469986,82635285,82889765,82985467,83257430,83344557,83799344,83854856,83930716,84217053,84385786,84676747,84822675,85011547,85042517,85073026,85310900,85482110,85794360,85843507,85911226,85916404,85926307,85962546,85964572,86285540,86914291,86932430,87420464,87581818,87733306,87809026,87891907,88144304,88341093,88915421,89338891,89512732,89630333,89847418,89897005,90369427,90477520,90684067,90917150,91029052,91309891,91309985,91513984,91567289,91828278,91879977,92040805,92085691,92098618,92248186,92576580,92854291,92919710,93083467,93463987,93585737,93635780,93825710,94122485,94144387,94165581,94274262,94336713,94357428,94369710,94517300,94741437,94968067,95596546,96064732,96223891,96518655,96541718,96824741,96858165,96895389,96926818,97170187,97442746,97530907,97674691,97810786,98348022,98531347,98546357,98743891,98748352,98985826,99096691,99162342,99168157,99269049,99352186,99467718,99796891,99908916,...,1227252276878384265402503024819346839550979537563289966831381625983087056206071437293745160409311029913004150448721508385778827669654477892218767634993163151120510208426139545036730762248430260282299655370263265722649492227930539430309124606979158865564385159239623747670188631667799823455751251503960077400207114331056485757298987684939463810161948066554108805305353683566715750019527086905476229557775823936870960564471310373628676142747912385455482348455936192307386583591163815339176156764969473631296279097834091625278772873104073863218402874924588517298950873508928885003325891296539729432946679090074086196591725075092249856588190776828859453727735989890776042514170867452728215335589761477416980039134738370441126894422384816462579847134819157153334509916073286580795982421980267889931919623426956842453655639065478593544497964757745389151952421148182267429989734196344433467771059725694014001009977082791964207807161503100778385668541305212506891544389915410905716208489271033347655612541225907835459417732501495619973298619099814152177809990009406671307150745558799767498817659482763670501717357616720148449885535685394605515256786879113477890501354595991277418039236209862593485167414505094427487363124009345279644803946051685823593343750769279133436741100176462211289465939700920885577254534559313514662239912949159007137182217516448389364002270839085140984989482661555739798047035339438910009829169167486816057051214909881076973038800058987321697964489938015381440586233443844497313480520671792071420090611428304689595399420920039142177973538661639198649609181890386043674538611355825600274141021673210187344886494043248532463774433112992867562659054380140157027230163016041053855034500427321427024381734116495928889101261027390361191663621150692227061253484540951741039776082671494410019632457081530989040480294286056966897280601713921919980392531804391318744856479965426635704594650586568144332903508525532058369573915585754041527994243015682424609196780341248777039146062293079545418738704893988983710588344332069533900853047594441317056937896193843339068739671068028765510282066084279286971815969062432077374700478930543390888708742149081411790675149910625537166679139318865505581048532300424013266774388167787753025974866337747996960606056608216601253986520308017817826374548912405953610286715804350523778825182325759292177243852558307563568330986174096866114822639272803460056323673645908580644416362745314270574692061276986378244884103288543943701637606568548751326875818511264489977545364802999157070636880621507855240273573594075907448886018292662479011134654346911519304252319711609424259258155624122808589298149041888780822133166502662766833921394526876446060993288857486966698398326865599497887717249001529180949134522075840487325957311416499717078535878039605345275600495026066611192526474868868014327513711877292939524976708639037119448229285863184808912468178263646595387984133268498250006383418126318834255852818537071131251243517389632423587722187783739495336692998866711543629250075056772330410738375017323445086898618687681900280420155712002525484076675253037713322281849603557866475740525192085929905539177572487121751887932397147146365350246970703424730864684670705746618907240694428042749637983487509072206888545699014899008522313767469765395292335444873702002619783980014754546585052832901254145069642524054562061077244389974842240151901168079142726099142183652285673271302443227894136090927579609775311965654732367770273461379239818553008808551048026038402557791888742447678153372200997285224611807452324863862609351582524404504824432206024312380256438407120305227690506330432922192584155521257508771064218490033881230750055290852337492018}
23109  30996210085209033655498174259670945450612629509582700072543312913961477806033: {485079,577475,692970,739168,831564,1315959,1962395,2354874,2654315,2793527,2975127,3185178,3251319,3665427,4201834,4316147,4630839,4727915,5006407,5418395,5457399,5673498,6002620,6139546,6145539,6502074,6940759,7107927,7110796,7152010,7203144,7794627,7801378,8103537,8328631,8582412,8770780,9366826,9553715,9838507,9915370,10158280,10398707,10524936,10986556,11091379,11219127,11370059,11428065,11464458,11616515,11767819,11840553,11898444,11946634,12189936,12200327,12886627,13202332,13235866,13381180,13581751,13675479,13713678,13796458,13880314,13939818,14055010,14903866,14952311,15047315,15168874,15379019,15695080,15716499,16057416,16206259,16811170,16866012,16968945,17066620,17543659,17656965,17984087,18056778,18064593,18100208,18588778,18770026,18834096,18908380,19031866,19152395,19675306,19829020,20058259,20173404,20201125,20362734,20479944,20758139,21188358,21669820,21808138,22180834,22342408,22342999,22563395,22690056,22890826,22982874,23019459,23039937,23347852,23533594,23638459,23794824,24241350,24304186,24574498,24905159,25035639,25062370,25135209,25411018,25461226,25526313,25840599,25857440,25965395,26003784,26428027,26469436,26510739,26644715,26670076,26690611,26745754,26769177,27046419,27076074,27161146,27188380,27393371,27786347,27849219,28107580,28671706,28680515,28858750,29000674,29040907,29089620,29254257,30074844,30787627,31028928,31158474,31238074,31247639,31451127,31457932,31505565,31717239,31750498,31918570,31924579,31973658,32626056,32701180,32873578,33046359,33418115,33605936,33619420,33729096,33944746,34416618,34443514,34539511,34602227,34630500,34779004,34803539,34907544,35392499,36117395,36373180,36639139,36704313,36939200,37321977,37506625,37536796,37679379,37806678,37813480,37945233,38060428,38075127,38208220,38302284,38566507,38708387,39241416,39270987,39388931,40003546,40101738,40113034,40155515,40314124,40343304,40845994,40959580,41151226,41487010,41556600,41587612,42376099,42540165,43340874,43510715,43525147,43647816,43693858,43912727,43985427,44043034,44146593,44327040,44361467,44377719,44430925,44625820,44682106,45007950,45292227,45376176,45386217,45472348,45575098,45588296,45777676,45849864,46751175,47282176,47638419,47762146,47778248,47793847,48008480,48127607,48186618,48604156,48792844,49103793,49151496,49205020,49445986,49587639,49626467,49657738,49784412,49867920,50428714,50754579,50817628,51048198,51134147,51286833,51581097,51631018,51935827,52102138,52192115,52212858,52342234,52851466,52857395,53192448,53317110,53376586,53550984,53731612,53750529,54009540,54372040,55016727,55095010,55274199,55295433,55402899,55409719,55417481,55511624,55514915,55716465,56101410,56871584,57108887,57128194,57330519,57440026,57610176,58114619,58351420,58484499,58611466,58856776,59046024,59430896,59706827,59841504,60096311,60244857,60379618,61168545,61505404,61807546,61894714,62099866,62450577,62630538,62918620,62953719,63335427,63428874,63452915,63472750,63495484,63787319,63802186,63831580,63980532,63988725,64615427,64811448,64860099,65240727,65246448,65396680,66114012,66128019,66213873,66329125,66426777,66617898,66745115,66859758,67106506,67140627,67208539,67321692,67883596,68254640,68404227,68709739,68782839,69869986,70021704,70527347,70672659,70938394,71285219,71421994,72041020,72141064,72175027,72180627,72327585,72807927,72912879,73184019,73271914,73324426,73372999,73402254,73571265,73639036,73943452,74342216,74345925,74359547,74436099,74774620,75070065,75502344,75830914,76143498,76167300,76480365,76492906,76559127,76597896,76786470,77126266,77149424,77270938,77954327,78211978,78476016,78605099,78774417,79167830,79302320,79594950,79668627,80074736,80094138,81158697,81245120,81434146,81579056,81905568,82057180,82295308,83634993,84036172,84196186,84366339,84901280,84940137,84993532,85015115,85131658,85227927,85473879,86172633,86211159,86404808,86449224,86793102,86840567,86910652,88078396,88285518,88421020,88707944,88893395,89151639,89215110,89369125,89420746,89576445,89729544,89796311,90056407,90074218,90084078,90272674,90400954,90544499,90599817,90936808,91142284,91145980,91152539,91400760,91471715,91776438,92115395,92143764,92392348,92564727,92609779,92704027,92851739,93034714,93172227,93554314,93628834,94308119,94661707,94748919,95001396,95162784,95328395,95513940,95515996,95548208,96096059,96563139,96804627,97171811,97205409,97255377,97418839,97494144,97577224,98156770,98317569,98468616,98883388,99154234,99243165,99468211,99796437,99815127,99852634,...,1840878415317576398103754537229020259326469306344934950247072438974630584309107155940617740613966544869506225673082262578668241504481716838328151452489744726680765312639209317555096143372645390423449483055394898583974238341895809145463686910468738298346577738859435621505282947501699735183626877255940116100310671496584728635948481527409195715242922099831163207958030525350073625029290630358214344336663735905306440846706965560443014214121868578183223522683904288461079875386745723008764235147454210446944418646751137437918159309656110794827604312386882775948426310263393327504988836944809594149420018635111129294887587612638374784882286165243289180591603984836164063771256301179092323003384642216125470058702107555661690341633577224693869770702228735730001764874109929871193973632970401834897879435140435263680483458598217890316746947136618083727928631722273401144984601294516650201656589588541021001514965624187946311710742254651167578502811957818760337316584873116358574312733906550021483418811838861753189126598752243429959947928649721228266714985014110006960726118338199651248226489224145505752576036425080222674828303528091908272885180318670216835752031893986916127058854314793890227751121757641641231044686014017919467205919077528735390015626153918700155111650264693316934198909551381328365881801838970271993359869423738510705773326274672584046003406258627711477484223992333609697070553009158365014743753751230224085576822364821615459558200088480982546946734907023072160879350165766745970220781007688107130135917142457034393099131380058713266960307992458797974413772835579065511807917033738400411211532509815281017329741064872798695661649669489301343988581570210235540845244524061580782551750640982140536572601174743893333651891541085541787495431726038340591880226811427611559664124007241615029448685622296483560720441429085450345920902570882879970588797706586978117284719948139953556891975879852216499355262788298087554360873378631062291991364523523636913795170511873165558719093439619318128108057340983475565882516498104300851279571391661975585406844290765008603109506602043148265423099126418930457723953593648116062050718395815086333063113223622117686012724865938305750018708978298258371572798450636019900161582251681629538962299506621995440909084912324901880979780462026726739561823368608930415430073706525785668237773488638938265865778837461345352496479261145299172233958909205190084485510468862870966624544117971405862038091915479567367326154932815915552456409852823126990313727766896734966318047204498735605955320932261782860410360391113861173329027438993718516701981520367278956378479567414136388887233436184212883947223562833171233199749753994150250882091790314669091489933286230450047597490298399246831575873502293771423701783113760730988935967124749575617803817059408017913400742539099916788789712303302021491270567815939409287465062958555679172343928794777213368702267395469893081976199902747375009575127189478251383779227805606696876865276084448635381583281675609243005039498300067315443875112585158495616107562525985167630347928031522850420630233568003788226115012879556569983422774405336799713610787788128894858308766358730682627831898595720719548025370456055137096297027006058619928360861041642064124456975231263608310332818548522348512783470651204648092938503167310553003929675970022131819877579249351881217604463786081843091615866584962263360227851752118714089148713275478428509906953664841841204136391369414662967948482098551655410192068859727829513212826572039057603836687833113671517230058301495927836917711178487295793914027373786606757236648309036468570384657610680457841535759495649383288876233281886263156596327735050821846125082936278506238027}
23110  31107253560719998359641417861853516178303297765472214446456751516411208865932: {254089,531001,646772,669349,923960,1039455,1083961,1108752,1222021,1247346,1635769,1707254,1754612,1911241,2048869,2461321,3087494,3139832,3147301,3421189,3532311,3638582,3831481,3966836,3968101,4246904,4335092,4464134,4777767,4887236,5330341,5466169,5737609,5873221,6174452,6302751,6685381,7276532,7503275,7564664,8167609,8194052,8510247,8669432,8704441,8838469,8888495,9003930,9106309,9209319,9477236,9507529,9604192,9753111,9774649,10392836,10574281,10666194,10728015,10804716,10963475,11105929,11443216,11702067,12697850,12825829,12873618,13156170,13484089,13733195,14033248,14050239,14402629,14873055,14958836,15078374,15187141,15237420,15285944,15708709,15787404,15837682,15864592,16099129,16253248,16479834,16502915,16618681,16691894,16726475,17007589,17196687,17847666,17919951,18233972,18284904,18428041,18567782,18586424,18685369,19199161,19549607,19583749,19618850,19803498,19853799,19903382,20071770,20570517,20694687,20703014,20820471,20909727,20955332,21082515,21115621,21333275,21409888,21623941,22032854,22355799,22488016,22510729,22625260,22753311,22763449,23542620,23635475,24075704,24086124,24148261,24417494,24786275,25112128,25216755,25299018,25599930,25898149,26000774,26643781,26891749,26897872,27085167,27087275,27150312,27306592,27316214,27510409,27883167,27928010,28127269,28155039,28251144,28362570,28496521,28547799,29184815,29405194,29512959,29674934,29743530,29844901,30253408,30260106,30544101,30576709,30643832,30692612,30719916,30941641,31726432,31782537,32274181,32321800,32394889,32504730,32541974,32636089,32712207,32877001,33061382,33086795,33271251,33337595,33380852,33478021,33513612,33985475,34035084,34336239,34454132,34474311,34555321,34671712,34793929,35021778,35134475,35300391,35347652,35692236,36061892,36101432,36362025,36456279,36574309,36861747,36938582,37046341,37132292,37593555,38104201,38116527,38191839,38786160,39005676,39322415,39704154,39889759,40005114,40086469,40099792,40118631,40614111,40741719,40782570,40783382,40876475,40896649,41371904,41544632,41548454,41805967,41934836,42007420,42024275,42161370,42277321,42289652,42631544,43007559,43288125,43473755,43501011,43501408,43634430,43875001,44061812,44089334,44102089,44668549,44972128,45112266,45466475,45888824,46132921,46174000,46245061,46543392,46692901,46737711,46857111,46920995,47119382,47186898,47266850,47457047,47575535,47625747,47760275,47877855,47960487,48572671,48583369,48804409,48914821,48939084,49051770,49127894,49310367,49575781,49762636,50014981,50239172,50392655,50408904,50429130,50562361,50593644,50686987,50766836,50917119,51069712,51199475,51376454,51499679,51624927,51665271,51945750,51984515,52002034,52168506,52321888,52361316,53468984,53791072,53915941,54108854,54559770,54603782,55089289,55301689,55408800,55782275,55831429,56042821,56305194,56331494,56464741,56710017,56720220,56840435,56985370,57090642,57222095,57312330,57453426,57561254,57787832,57932389,58197088,58245049,58647236,58764709,58862124,59075641,59102720,59170292,59695561,59722810,60005319,60009974,60010600,60152607,60169551,60389636,60471186,60501568,60514956,60755195,60991055,61133152,61268991,61439370,61506275,61726839,61844869,62230515,62334900,62351929,62381418,62655301,62686934,63123431,63171782,63517892,63522035,63561529,64062469,64248824,64661221,65011311,65049439,65471724,65535328,65540787,66064551,66068774,66116852,66146761,66343609,66379216,66490560,66540169,66789782,66938730,67023159,67164515,67225861,67505746,67511925,67672772,67810789,67965050,67988582,68064264,68208522,68362647,68382444,68666514,68774796,69069241,69165541,69183782,69261769,69389530,69550021,69617144,69660854,69899174,70065394,70923264,71089480,71381674,71401312,71455141,71643219,71667372,72012720,72115129,72279927,72906234,72939275,73189266,73355636,73570970,73698932,73703269,73727244,73807530,73870532,74166409,74168979,74288620,74486607,74676618,74801880,75362149,75604207,75636361,75643071,75854207,76226442,76273669,76279382,76440692,76572297,76813568,76881755,77446527,77537701,77619451,77627449,77916374,77979332,78153207,78319287,78513351,78648275,78728032,79081334,79277199,79369355,79569707,79583689,79788672,79789475,79975665,80023429,80064879,80326476,80461369,80597418,80914031,81014310,81418501,81558060,81745850,81942839,82195129,82281061,82452709,82554614,82642515,83267436,83507384,83604682,83646181,83934854,83938292,83984581,84069001,84152115,84447236,84571832,84854495,85307376,85318300,85380071,85692291,85777978,85825189,86160039,86415264,86480132,86486807,86647691,86987636,86995264,87527130,87817382,87874489,87917199,88152016,88170692,88285164,88569036,88823864,88922341,89098807,89146344,89481529,89520836,89762256,90051275,90116281,90176330,90532934,90569427,90824869,91205636,91208582,91216009,91710452,92048795,92258106,92429315,92532421,92626954,92711319,92762569,92780054,92842071,92927770,92992069,93149799,93362272,93468275,93898214,93945807,94022159,94054501,94230212,94377930,94430521,95047519,95143311,95209125,95243226,95399749,95617379,95703279,95747370,95970798,96137029,96240836,96436780,96648841,96867109,97077236,97217172,97229449,97578692,97869672,97948729,98095020,98518969,98555174,98995382,99127900,99154981,99171018,99176759,99248132,99435781,99926847,...,2454504553756768530805006049638693679101959075126579933662763251966174112412142874587490320818622059826008300897443016771557655339308955784437535269986326302241020416852279090073461524496860520564599310740526531445298984455861078860618249213958317731128770318479247495340377263335599646911502503007920154800414228662112971514597975369878927620323896133108217610610707367133431500039054173810952459115551647873741921128942620747257352285495824770910964696911872384614773167182327630678352313529938947262592558195668183250557545746208147726436805749849177034597901747017857770006651782593079458865893358180148172393183450150184499713176381553657718907455471979781552085028341734905456430671179522954833960078269476740882253788844769632925159694269638314306669019832146573161591964843960535779863839246853913684907311278130957187088995929515490778303904842296364534859979468392688866935542119451388028002019954165583928415614323006201556771337082610425013783088779830821811432416978542066695311225082451815670918835465002991239946597238199628304355619980018813342614301491117599534997635318965527341003434715233440296899771071370789211030513573758226955781002709191982554836078472419725186970334829010188854974726248018690559289607892103371647186687501538558266873482200352924422578931879401841771154509069118627029324479825898318014274364435032896778728004541678170281969978965323111479596094070678877820019658338334973632114102429819762153946077600117974643395928979876030762881172466887688994626961041343584142840181222856609379190798841840078284355947077323278397299218363780772087349077222711651200548282043346420374689772988086497064927548866225985735125318108760280314054460326032082107710069000854642854048763468232991857778202522054780722383327242301384454122506969081903482079552165342988820039264914163061978080960588572113933794561203427843839960785063608782637489712959930853271409189301173136288665807017051064116739147831171508083055988486031364849218393560682497554078292124586159090837477409787977967421176688664139067801706095188882634113875792387686678137479342136057531020564132168558573943631938124864154749400957861086781777417484298162823581350299821251074333358278637731011162097064600848026533548776335575506051949732675495993921212113216433202507973040616035635652749097824811907220573431608701047557650364651518584354487705116615127136661972348193732229645278545606920112647347291817161288832725490628541149384122553972756489768206577087887403275213137097502653751637022528979955090729605998314141273761243015710480547147188151814897772036585324958022269308693823038608504639423218848518516311248245617178596298083777561644266333005325533667842789053752892121986577714973933396796653731198995775434498003058361898269044151680974651914622832999434157071756079210690551200990052133222385052949737736028655027423754585879049953417278074238896458571726369617824936356527293190775968266536996500012766836252637668511705637074142262502487034779264847175444375567478990673385997733423087258500150113544660821476750034646890173797237375363800560840311424005050968153350506075426644563699207115732951481050384171859811078355144974243503775864794294292730700493941406849461729369341411493237814481388856085499275966975018144413777091398029798017044627534939530790584670889747404005239567960029509093170105665802508290139285048109124122154488779949684480303802336158285452198284367304571346542604886455788272181855159219550623931309464735540546922758479637106017617102096052076805115583777484895356306744401994570449223614904649727725218703165048809009648864412048624760512876814240610455381012660865844385168311042515017542128436980067762461500110581704674984036}
23111  31218692231604447160351472425951227051222242295289779542343285969126227278860: {808465,970158,1154950,1385940,1478336,1663128,1871019,2193265,2560881,2631918,2747353,3301441,3716041,3924790,4631241,4709748,4823929,4958545,5100901,5308630,5418865,5457873,5587054,5950254,6109045,6370356,6502638,6619081,6696201,7330854,7359649,7585753,7718065,8403668,8632294,9020761,9095665,9261678,9386641,9455830,10012814,10242565,10399609,10836790,10905961,10914798,11346996,11846545,11918401,12005240,12154201,12279092,12289381,12291078,12707713,12991045,13004148,13375201,13505895,13881518,14215854,14221592,14304020,14406288,14502853,14953609,15380353,15459169,15589254,15602756,15999291,16067941,16207074,16263121,16439641,16657262,17164824,17541560,17670913,17985649,18490681,18698545,18733652,19046775,19107430,19310427,19387573,19677014,19734255,19830740,20005249,20316560,20759941,20797414,21014521,21049872,21066241,21253921,21973112,22182758,22438254,22527769,22617561,22740118,22792465,22856130,22928916,23200273,23233030,23535638,23681106,23756523,23796888,23893268,24379872,24400654,24544201,24719751,24907321,25037841,25773254,26194165,26227753,26404664,26471732,26762360,26771499,26813353,27062761,27163502,27350958,27395749,27427356,27592916,27760628,27851673,27879636,28110020,28281575,28569061,28729633,29282569,29428275,29705247,29807732,29855073,29904622,30094630,30107655,30337748,30758038,31054521,31055329,31250353,31390160,31432998,31588753,32093281,32114832,32306881,32412518,32468521,33049281,33622340,33732024,33937890,34133240,34605241,35087318,35107369,35313930,35395573,35475361,35968174,36113556,36129186,36200416,36351553,36626241,37177556,37302601,37540052,37586761,37668192,37816760,37833361,37948527,38063732,38304790,38365765,38399895,38711749,38898073,39001161,39350612,39478981,39622561,39658040,40043953,40116518,40152721,40346808,40402250,40596601,40724149,40725468,40893541,40959888,40974321,41126041,41516278,41726065,41892015,42105409,42376716,42543855,43067665,43339640,43616276,44107791,44184565,44361668,44512401,44615295,44684816,44685998,45077365,45126790,45131449,45144181,45380112,45390159,45781652,45965748,46038918,46079874,46415365,46525441,46695704,46785361,47067188,47276918,47379649,47589648,48482700,48608372,48631561,48757095,48812961,49148996,49592073,49810318,50015941,50071278,50124740,50130289,50270418,50564353,50822036,50844553,50922452,51052626,51138601,51681198,51714880,51930790,52007568,52418545,52509275,52532667,52699873,52856054,52862065,52938872,53021478,53289430,53340152,53381222,53491508,53538354,54092838,54152148,54322292,54376760,54786742,55077265,55407873,55572694,55663609,55698438,56117281,56215160,56217721,56878081,57149929,57320401,57343412,57361030,57612049,57717500,58001348,58081814,58179240,58508514,58649461,58894681,59344933,59556231,60007671,60101569,60149688,60428881,60599209,60915001,61173855,61175073,61218853,61575254,62057856,62203295,62316948,62322681,62476148,62495278,62798965,62902254,62915864,63011130,63189241,63242055,63434478,63458545,63500996,63837140,63849158,63947316,64951633,65252112,65402360,65451645,65747156,65949601,66092718,66134001,66836230,67069081,67211872,67238840,67410661,67458192,67492321,67668399,67889492,68833236,68887028,69079022,69204454,69261000,69558008,69607078,69815088,70679073,70780347,70784998,70900275,71022913,71029321,72234790,72617653,72746360,73068961,73278278,73309045,73408626,73506961,73577655,73691841,73878400,73962865,74000353,74643954,75013250,75073592,75138181,75358758,75487045,75613356,75626960,75643695,75890466,76120856,76150254,76201441,76416440,76604568,76727641,77064681,77133014,77416774,77720881,77918625,78003051,78252759,78455641,78482832,78541974,78777862,79397365,79444321,79660201,80007092,80038633,80203476,80226068,80311030,80628248,80686608,81163281,81691988,81839655,81905673,81919160,82302452,82646065,82901929,82974020,83107729,83113200,83175224,83350501,84457791,84497241,84590965,84752198,85080330,85478055,85635963,85850101,85968495,86180139,86341881,86681748,86703961,87021430,87050294,87295632,87341089,87387716,87825454,87970854,88039561,88086068,88293186,88654080,88722934,88755438,88834081,88861850,89251640,89364212,89584215,89804209,90014961,90015900,90552421,90584454,90706779,90752352,90772434,90944696,91150196,91176592,91363621,91555352,91694545,91699728,92123665,92127841,92159055,92338165,92483233,92860775,93248881,93443161,93502350,93572127,93628741,94030401,94564352,94723849,94757673,95276838,95361841,95524292,95550865,95556496,95587694,95706721,95999941,96016960,96255214,96373236,97208312,97438921,97474165,97585688,98207586,98302992,98410040,98891972,99103161,99175278,99252934,99315476,99568824,99735840,...,3681756830635152796207509074458040518652938612689869900494144877949261168618214311881235481227933089739012451346164525157336483008963433676656302904979489453361530625278418635110192286745290780846898966110789797167948476683791618290927373820937476596693155477718871243010565895003399470367253754511880232200621342993169457271896963054818391430485844199662326415916061050700147250058581260716428688673327471810612881693413931120886028428243737156366447045367808576922159750773491446017528470294908420893888837293502274875836318619312221589655208624773765551896852620526786655009977673889619188298840037270222258589775175225276749569764572330486578361183207969672328127542512602358184646006769284432250940117404215111323380683267154449387739541404457471460003529748219859742387947265940803669795758870280870527360966917196435780633493894273236167455857263444546802289969202589033300403313179177082042003029931248375892623421484509302335157005623915637520674633169746232717148625467813100042966837623677723506378253197504486859919895857299442456533429970028220013921452236676399302496452978448291011505152072850160445349656607056183816545770360637340433671504063787973832254117708629587780455502243515283282462089372028035838934411838155057470780031252307837400310223300529386633868397819102762656731763603677940543986719738847477021411546652549345168092006812517255422954968447984667219394141106018316730029487507502460448171153644729643230919116400176961965093893469814046144321758700331533491940441562015376214260271834284914068786198262760117426533920615984917595948827545671158131023615834067476800822423065019630562034659482129745597391323299338978602687977163140420471081690489048123161565103501281964281073145202349487786667303783082171083574990863452076681183760453622855223119328248014483230058897371244592967121440882858170900691841805141765759941177595413173956234569439896279907113783951759704432998710525576596175108721746757262124583982729047047273827590341023746331117438186879238636256216114681966951131765032996208601702559142783323951170813688581530017206219013204086296530846198252837860915447907187296232124101436791630172666126226447244235372025449731876611500037417956596516743145596901272039800323164503363259077924599013243990881818169824649803761959560924053453479123646737217860830860147413051571336475546977277876531731557674922690704992958522290598344467917818410380168971020937725741933249088235942811724076183830959134734652309865631831104912819705646253980627455533793469932636094408997471211910641864523565720820720782227722346658054877987437033403963040734557912756959134828272777774466872368425767894447125666342466399499507988300501764183580629338182979866572460900095194980596798493663151747004587542847403566227521461977871934249499151235607634118816035826801485078199833577579424606604042982541135631878818574930125917111358344687857589554426737404534790939786163952399805494750019150254378956502767558455611213393753730552168897270763166563351218486010078996600134630887750225170316991232215125051970335260695856063045700841260467136007576452230025759113139966845548810673599427221575576257789716617532717461365255663797191441439096050740912110274192594054012117239856721722083284128248913950462527216620665637097044697025566941302409296185877006334621106007859351940044263639755158498703762435208927572163686183231733169924526720455703504237428178297426550956857019813907329683682408272782738829325935896964197103310820384137719455659026425653144078115207673375666227343034460116602991855673835422356974591587828054747573213514473296618072937140769315221360915683071518991298766577752466563772526313192655470101643692250165872557012476054}
23112  31330527495074670193506742870169495296198980828494280907513946420175662151823: {300287,508178,715511,945911,1062002,1222127,1293544,1338698,1360127,1455237,1635911,1681847,1732425,1847920,1911407,2078910,2167922,2217504,2324111,2444042,2494692,2507327,3193247,3271538,3414508,3421487,3467111,3509224,3822482,3947877,4097738,4377911,4832111,4922642,5511911,5738111,5887185,6174988,6279664,6294602,6842378,7064622,7277164,7662962,7933672,7936202,7962945,8380581,8481647,8493808,8670184,8925381,8928268,9552911,9555534,9753957,9774472,9820007,10042367,10442111,10504585,10660682,10932338,10996281,11106911,11283887,11475218,11746442,12210911,12348904,12443893,12605502,12695087,12826967,12870911,12948441,13370762,13529111,13892517,14183745,14185511,14447567,14553064,14796527,15006550,15019221,15129328,15348865,16255185,16335218,16372197,16388104,16620167,17020494,17181767,17338864,17408882,17676938,17776990,17880025,18007860,18043127,18212618,18300911,18418638,18436617,18472607,18687047,18954472,18986927,19015058,19208384,19226473,19503445,19506222,19549298,19628207,20395367,20785672,20822277,20862911,21117527,21148562,21323781,21332388,21456030,21609432,21752807,21926950,22211858,22512767,22554911,22807607,22886432,22933847,23104081,23144087,23383881,23396111,23404134,23417065,24310611,24401327,24788425,24985893,25277111,25395700,25651658,25747236,26312340,26315111,26935511,26968178,27306887,27466390,28066496,28100478,28170911,28661145,28805258,29515521,29603111,29746110,29847647,29866585,29917672,30156748,30374282,30376487,30474840,30571888,30985007,31187447,31196121,31417418,31430111,31574808,31675364,31729184,32198258,32397887,32506496,32639111,32880047,32959668,33005830,33089665,33237362,33274137,33280967,33383788,33401087,33452950,33481127,33657381,34015178,34080407,34110177,34284195,34393374,34491145,34598327,34677887,34700785,34797167,34836911,34849545,35137525,35303457,35521659,35695332,35839902,36262367,36467944,36569808,36600981,36813911,36856082,37049807,37135564,37172848,37259665,37370738,37922185,38146847,38398322,38659881,39099214,39167498,39237700,39606996,39707598,39806764,40143540,40322111,40745253,40858741,40939007,41026437,41141034,41246687,41389374,41406028,41640942,41707247,41819454,41910664,42027925,42165030,42231242,42434111,42666550,42819776,43234127,43247882,43765511,43917047,44065708,44106287,44333111,44672807,44710511,44711598,44856933,44976032,45021458,45124727,45141945,45250520,45506622,45526898,46137057,46249487,46321513,46471945,46672633,46734647,46925065,47085240,47149497,47270950,47579665,48151408,48172248,48296522,48588047,48618777,48624911,48834988,49188265,49360511,49572550,49580567,50224256,50433510,50598036,50906835,51040247,51199860,51796298,52001548,52415087,52630977,52954607,52970895,53040229,53169911,53287562,53783498,53795744,53921207,53952261,54170334,54174550,54193779,54300624,54520345,54597911,54613184,54632428,55020818,55051381,55342487,55448567,55452085,55766334,55856020,56048327,56085601,56254538,56310078,56502288,56680847,56725140,56993042,57095598,57227065,57457185,57624767,57764111,58250807,58369630,58810388,58833985,59025918,59288447,59349868,59487060,59689802,59701487,59804567,60174777,60318887,60506816,60520212,60524111,60603375,60729047,60760465,60863257,61035911,61088202,61153418,61172087,61287664,61376111,61385224,61436245,61439832,61749407,61851047,61883282,62274417,62358167,62391911,62655925,63098687,63452864,63527545,63565074,63653065,64068911,64548362,64568111,64643600,64700927,64789778,64899911,65009460,65083948,65272178,65363087,65424414,65689393,65692967,65754002,66122764,66173590,66350327,66383111,66542502,66579647,66605749,66675190,66761704,66864385,66956042,67027224,67028997,67232687,67690185,67902865,67970950,68070168,68672478,68908264,68948622,69058377,69108407,69110642,69119811,69300911,69343424,69587858,69589127,69780911,69940511,70043556,70268950,70549717,70600782,70608647,70695304,70915377,70925567,71367911,71384472,71679265,71682911,71965727,72123784,72146875,72202864,72341807,72435647,72501685,72724050,72778321,72912558,73059407,73148618,73276967,73432127,73723494,73741847,73877164,74092682,74204927,74264584,74358887,74635511,74715477,75106917,75187110,75370007,75400511,75405627,76208402,76233054,76383678,76578939,77521797,77572320,77896185,77934287,78011352,78095185,78113111,78440207,78529247,78644830,78736727,79284081,79376245,79408308,79445111,79532217,79576609,79779518,79796425,79934145,80010228,80061167,80071833,80110933,80172938,80199584,80207327,80237262,80307531,80499047,81139257,81228222,81456047,81483438,81565140,81566764,81752950,81793298,81801887,82180113,82183945,82632911,82743808,82917911,83060111,83089264,83096908,83359041,83547657,83611934,83869672,84014840,84021767,84048550,84322740,84554642,84579304,84861865,85029911,85057273,85263088,85387477,85862111,86015118,86041545,86108785,86165447,86248007,86494309,86576250,86947510,86987807,87002022,87002816,87122721,87268860,87341927,87667607,87750002,87762771,87884087,87911111,88123624,88178668,88204178,88718111,88930849,89092247,89337098,89645881,89650511,89809367,89944256,90152567,90224532,90468167,90861047,90932950,91226111,91583173,91777648,91848287,92265842,92348000,92362881,92490122,92542727,93002447,93086784,93256727,93385802,93475422,93535511,93714222,93742917,93841990,93914111,94030321,94065047,94238764,94353381,94373796,94516695,94533700,94690847,94914094,95039111,95151070,95151717,95251494,95520550,95625673,95632487,95755710,95773737,95920974,96025511,96172367,96841537,96902327,97145342,97166738,97240511,97608818,97744847,97829642,97878168,98103540,98255788,98340647,98553911,98620734,98884367,99139077,99151562,99166367,99377111,99525272,...,5522635245952729194311263611687060777979407919034804850741217316923891752927321467821853221841899634608518677019246787736004724513445150514984454357469234180042295937917627952665288430117936171270348449166184695751922715025687427436391060731406214895039733216578306864515848842505099205550880631767820348300932014489754185907845444582227587145728766299493489623874091576050220875087871891074643033009991207715919322540120896681329042642365605734549670568051712865383239626160237169026292705442362631340833255940253412313754477928968332384482812937160648327845278930790179982514966510834428782448260055905333387884662762837915124354646858495729867541774811954508492191313768903537276969010153926648376410176106322666985071024900731674081609312106686207190005294622329789613581920898911205504693638305421305791041450375794653670950240841409854251183785895166820203434953803883549950604969768765623063004544896872563838935132226763953502735508435873456281011949754619349075722938201719650064450256435516585259567379796256730289879843785949163684800144955042330020882178355014598953744679467672436517257728109275240668024484910584275724818655540956010650507256095681960748381176562944381670683253365272924923693134058042053758401617757232586206170046878461756100465334950794079950802596728654143985097645405516910815980079608271215532117319978824017752138010218775883134432452671977000829091211659027475095044231261253690672256730467094464846378674600265442947640840204721069216482638050497300237910662343023064321390407751427371103179297394140176139800880923977376393923241318506737196535423751101215201233634597529445843051989223194618396086984949008467904031965744710630706622535733572184742347655251922946421609717803524231680000955674623256625362486295178115021775640680434282834678992372021724845088346056866889450682161324287256351037762707712648639911766393119760934351854159844419860670675927639556649498065788364894262663082620135893186875974093570570910741385511535619496676157280318857954384324172022950426697647549494312902553838714174985926756220532872295025809328519806129444796269297379256791373171860780944348186152155187445258999189339670866353058038174597814917250056126934894775114718395351908059700484746755044888616886898519865986322727254736974705642939341386080180218685470105826791246290221119577357004713320465916814797597336512384036057489437783435897516701876727615570253456531406588612899873632353914217586114275746438702101978464798447746657369229558469380970941183300690204898954141613496206817865962796785348581231081173341583519987082316981155550105944561101836869135438702242409166661700308552638651841670688499513699599249261982450752646275370944007274469799858691350142792470895197740494727620506881314271105349341282192966807901374248726853411451178224053740202227617299750366369136909906064473811703447818227862395188875667037517031786384331640106106802186409679245928599708242125028725381568434754151337683416820090630595828253345906144749845026827729015118494900201946331625337755475486848322687577955502891043784094568551261890700704011364678345038638669709950268323216010399140832363364386684574926299076192047883495695787162158644076111368165411288891081018175859785082583124926192373370925693790824930998455645567045538350411953613944278815509501931659011789027910066395459632737748055643652813391358245529274847599754886790080683555256356142267446139826435285529720860994525523612409174108243988903845446295654966230576206579183488539638479716117172811510063499341014551690174904487783510753133535461887381742082121359820271709944927109405711153972832041373524607278486948149866628699845658789469788983205152465538375248808835518714081}
23113  31442760753250252638684244911205573518949256378833498633497718163350994689590: {762267,1131851,1593003,1616930,1940316,2008047,2309900,2771880,2956672,3070571,3118365,3251883,3326256,3666063,3742038,3901703,4268135,4386530,4907307,5121762,5263836,5494706,5701007,5733723,6146607,6602882,6941963,7383963,7432082,7586411,7718735,7849580,7867211,8552663,8697767,9096455,9262482,9419496,9441903,9647858,9917090,10082027,10201802,10263567,10596933,10617260,10805291,10837730,10906907,10915746,11093303,11160335,11174108,11494443,11900508,11904303,12218090,12290447,12733931,12740712,12888863,13005276,13238162,13392402,13584107,14085383,14333301,14339591,14504111,14661708,14719298,15171506,15436130,15460511,15991023,16209071,16398507,16441067,16585163,16807336,16851743,17212827,17264588,17619663,17672447,17958287,18041522,18187463,18191330,18269927,18492287,18523356,18773282,18908253,18911660,19618103,20025628,20056143,20485130,20724647,20799218,21255767,21673580,21811922,21829596,21852623,22509825,22693992,23202287,23642567,23693090,23836802,24010480,24308402,24502827,24558184,24578762,24582156,24835343,25415426,25530741,25982090,26008296,26113323,26177963,26230031,26515407,26623727,26665485,26750402,27011790,27318927,27568607,27627957,27763036,28431708,28443184,28522587,28608040,28732127,28812576,29005706,29006783,29259333,29285111,29313371,29323947,29907218,30710987,30760706,30911831,30918338,31178508,31205512,31540391,31722843,31744625,31909451,31930127,31983263,31998582,32135882,32184045,32309687,32414148,32526242,32879282,32890425,33314524,33317787,34329648,35083120,35106201,35110427,35341826,35971298,36288347,36671831,36981362,37397090,37467304,37695935,37836647,37928423,38093550,38214860,38477487,38620854,38645543,38775146,39354028,39468510,39594205,39661480,40010498,40047431,40260743,40452267,40600127,40633120,40897103,41199585,41490527,41519882,41594828,41729735,41810987,42029042,42099744,42132482,42150717,42507842,42576923,43207887,43532711,43946224,44123567,44365516,44619165,44722031,44876508,45055538,45235122,45480236,45561423,45584930,45635711,45712260,45857832,46400546,46419455,46466060,46826663,47071276,47126127,47362212,47513046,47593776,47786536,48297387,48603503,48714287,48759744,48801308,49047125,49088402,49439502,49508745,49758455,49814642,49856043,50075682,50179425,50246111,50647211,51022767,51297383,51546508,51590061,51757535,52388330,52455506,52455743,52809328,52943464,53337167,53524720,53542998,53626706,53712071,53759853,54125522,54327004,54701916,54791498,54854712,55082135,55185832,55284123,55521256,55703346,55759272,56056107,56220040,56334347,56563150,57138122,57154907,57459266,57473663,57550511,57597483,58378907,58416491,58565138,58648821,58751247,58856550,59244887,59410494,59561397,59615464,59710146,59809244,60189260,60215310,60294731,60604511,60675496,61043735,61516076,61711551,61858391,62084061,62109042,62110658,62131103,62461413,62500706,62729181,62780320,62865996,63108311,63177506,63247545,63346863,63437687,63999825,64186562,64229664,64613762,64825036,64871823,64937042,64981511,65001935,65823467,66098562,66271643,66320423,67067397,67074923,67244680,67464048,67532187,67875780,68086967,68259933,68266480,68290347,68290535,68421071,69210482,69820025,70174636,70214738,70611503,70627860,70791146,70906425,70950722,71029127,71617247,71936348,72227112,72258372,72400832,72444783,72703106,73252482,73385963,73512985,74006891,74187335,74355112,74358825,74474327,74605202,75080104,75173522,75336384,75341327,75633520,75650265,75666722,75897054,76127464,76609580,76731530,76799790,77108171,77423498,77625767,77694447,77796146,78002322,78701224,78888983,78957962,79245122,79316080,79931343,80087906,80233036,80305442,80675247,80693616,80804500,81193202,81255501,81261825,81354935,81448298,81450936,81648143,81787082,81919776,81948642,82252082,82531227,82653455,82751807,83032556,83452130,83649501,83784030,83943743,83977967,84210818,84381807,84465117,84753432,85087710,85489563,85643397,86135330,86679280,86871863,87084613,87232552,87550103,87554445,87918551,88215582,88369130,88538877,88723336,88841963,89024802,89230590,89369632,89371996,89534703,90154730,90253580,90262898,90288362,90760224,90780318,91563304,91632303,91730127,91931496,92077836,92159748,92346455,92720303,92824923,92830730,93050882,93391408,93570722,93888743,94134376,94553836,94759298,95179296,95347611,95820383,96008303,96822543,96904427,96965400,97184667,97216744,97263122,97514190,97625922,97908267,97975007,98136621,98297992,98631003,98861387,99184146,99260385,99620636,99813753,...,7363513661270305592415018148916081037305877225379739800988289755898522337236428623762470962455866179478024902692329050314672966017926867353312605809958978906723061250556837270220384573490581561693797932221579594335896953367583236581854747641874953193386310955437742486021131790006798940734507509023760464401242685986338914543793926109636782860971688399324652831832122101400294500117162521432857377346654943621225763386827862241772056856487474312732894090735617153844319501546982892035056940589816841787777674587004549751672637238624443179310417249547531103793705241053573310019955347779238376597680074540444517179550350450553499139529144660973156722366415939344656255085025204716369292013538568864501880234808430222646761366534308898775479082808914942920007059496439719484775894531881607339591517740561741054721933834392871561266987788546472334911714526889093604579938405178066600806626358354164084006059862496751785246842969018604670314011247831275041349266339492465434297250935626200085933675247355447012756506395008973719839791714598884913066859940056440027842904473352798604992905956896582023010304145700320890699313214112367633091540721274680867343008127575947664508235417259175560911004487030566564924178744056071677868823676310114941560062504615674800620446601058773267736795638205525313463527207355881087973439477694954042823093305098690336184013625034510845909936895969334438788282212036633460058975015004920896342307289459286461838232800353923930187786939628092288643517400663066983880883124030752428520543668569828137572396525520234853067841231969835191897655091342316262047231668134953601644846130039261124069318964259491194782646598677957205375954326280840942163380978096246323130207002563928562146290404698975573334607566164342167149981726904153362367520907245710446238656496028966460117794742489185934242881765716341801383683610283531519882355190826347912469138879792559814227567903519408865997421051153192350217443493514524249167965458094094547655180682047492662234876373758477272512432229363933902263530065992417203405118285566647902341627377163060034412438026408172593061692396505675721830895814374592464248202873583260345332252452894488470744050899463753223000074835913193033486291193802544079600646329006726518155849198026487981763636339649299607523919121848106906958247293474435721661720294826103142672951093954555753063463115349845381409985917044581196688935835636820760337942041875451483866498176471885623448152367661918269469304619731263662209825639411292507961254911067586939865272188817994942423821283729047131441641441564455444693316109755974874066807926081469115825513918269656545555548933744736851535788894251332684932798999015976601003528367161258676365959733144921800190389961193596987326303494009175085694807132455042923955743868498998302471215268237632071653602970156399667155158849213208085965082271263757637149860251834222716689375715179108853474809069581879572327904799610989500038300508757913005535116911222426787507461104337794541526333126702436972020157993200269261775500450340633982464430250103940670521391712126091401682520934272015152904460051518226279933691097621347198854443151152515579433235065434922730511327594382882878192101481824220548385188108024234479713443444166568256497827900925054433241331274194089394051133882604818592371754012669242212015718703880088527279510316997407524870417855144327372366463466339849053440911407008474856356594853101913714039627814659367364816545565477658651871793928394206621640768275438911318052851306288156230415346751332454686068920233205983711347670844713949183175656109495146427028946593236145874281538630442721831366143037982597533155504933127545052626385310940203287384500331745114024952108}
23114  31555393413175196493225880100997140271622189544216087883738199973445309748746: {600574,992053,1016356,1406233,1431022,1681993,1891822,2124004,2232649,2370133,2425395,2444254,2587088,2677396,2720254,2887375,2910474,3271822,3363694,3464850,3467413,3695840,3822814,4157820,4335844,4423753,4435008,4648222,4888084,4989384,5014654,5613057,6386494,6543076,6579795,6829016,6842974,6934222,7001749,7018448,7541173,7644964,7675849,7682643,7895754,8195476,8242059,8482393,8755822,9018649,9664222,9811975,9845284,9904323,10487413,11023822,11148123,11476222,11774370,12211993,12344149,12349976,12559328,12589204,12872053,13271575,13684756,13793113,13893723,13967635,14129244,14186773,14471787,14554328,14706419,14841433,14875635,15102793,15302703,15325924,15867344,15872404,15925890,16256595,16373619,16405273,16761162,16963294,16987616,17340368,17850762,17856536,18087733,18327135,18345493,19105822,19111068,19507914,19548944,19640014,19857243,20084734,20088603,20884222,21009170,21321364,21416149,21488411,21580735,21864676,21923893,21992562,22078947,22213822,22556953,22567774,22757259,22950436,23154195,23188213,23440213,23492884,23639575,23943349,24421822,24570649,24695893,24697808,24887786,25032035,25211004,25321033,25390174,25653934,25695253,25741822,25896882,26741524,27058222,27062283,27091975,27286995,27304823,27785034,28159923,28296649,28367490,28371022,28895134,28911349,29106128,29593054,30013100,30038442,30258656,30697730,30720811,30727695,31198827,31473433,32510370,32670436,32717883,32744394,32776208,32783891,33240334,34040988,34362649,34363534,34677728,34703795,34817764,34840153,34959349,35353876,35539635,35553980,35755203,35760050,36015720,36086254,36425236,36462603,36601822,36837276,36856693,36868143,36873234,36945214,37374094,37908944,37973854,38030116,38123139,38384713,38416768,38452946,38969173,38973135,39006890,39012444,39098596,39256414,39668149,40125603,40517685,40790734,41289013,41571344,41643155,41644554,41725822,41813219,42094153,42235054,42297124,42647562,42664776,42912060,43218864,43238233,43505614,43508559,43807573,43853900,44375113,44423716,44714773,44860827,45025534,45109822,45615214,45772864,45867694,46141059,46208162,46288174,46325531,46377507,46767762,46792222,46808268,46834130,47768575,47997873,48203823,48287603,48581099,48621222,48629593,48789363,48802654,49181653,49192535,49318923,49401973,49576850,49971786,50554222,50791400,51045193,51303316,51494472,51589333,51914953,51993535,52163531,52456213,52624680,52630222,53012739,53091059,53210953,53871022,53936356,53956947,54603253,54613774,54816373,54932780,55241749,55456895,55472043,56095635,56132992,56200956,56300149,56341822,56721493,56850295,57140325,57322290,57610516,57931281,58082575,58162719,58839095,59031042,59202765,59206222,59492220,59535433,59695294,59733170,59835344,59844853,60015747,60313496,60359113,60748564,60752974,60949680,61001635,61143776,61484149,61970014,62279823,62374894,62392242,62398153,62683907,62834836,62860222,63043563,63149616,63198723,63350728,63458368,63507349,63761763,64396516,64433135,64607833,64795774,64906453,65012992,65060723,65278222,65402713,65600713,65695091,65760094,65919336,66011660,66179330,66282983,66389833,66474724,66548274,66561934,66611531,66767576,66802174,66905900,66962254,67314762,67564873,67583307,67852683,67908755,68030356,68160814,68220354,68377395,68568390,68786748,68826133,68863571,68922649,68982290,69196654,69355774,69401570,69594334,69600819,69673822,69699090,69788053,69979573,70275050,70361749,70457113,70606914,70742773,70837849,70932853,71043318,71269569,71390664,71406793,71679804,71690293,71784649,72255349,72349273,72524734,72935888,73139616,73201962,73627822,73632603,73712164,74099614,74120149,74159253,74271128,74345696,74519330,74581849,74721963,74741476,74761555,75041749,75113523,75236575,75408373,75844370,76293694,76328483,76796644,76863349,76895095,77319762,77632919,78198428,78334996,78475400,78582495,78683259,79213992,79415196,79453513,79613528,80117891,80287080,80314497,80440059,80644222,80928067,81031295,81188283,81291349,81490506,81717482,81724249,81878014,82052874,82187247,82282068,82367579,82493374,82670293,82778748,82812056,83281884,83414494,83555019,83638908,83821328,84055850,84330060,84462484,84620233,84844725,84868222,85039093,85064651,85122649,85333100,85456153,85639552,85707183,85954249,86010743,86037013,86188899,86468254,86495764,87531022,87718295,87834094,87847707,87920713,88082713,88131416,88212574,88284825,88666222,88727833,88938563,89114291,89115741,89288533,89345614,89421022,89423196,89565219,89686873,89713866,89920435,89952064,90042916,90249454,90283890,90322965,90399349,90478153,90501040,91013244,91053796,91884313,92274114,92498974,92643026,92943890,93163563,93165987,93345266,93469294,93571273,93610139,93751059,93850130,94170480,94298994,94541900,94701493,94766259,95064011,95159330,95741749,95761975,96036373,96279843,96302816,96344496,96593044,96920643,97176094,97237554,97249822,97405563,97636213,97669976,98351893,98376530,98636149,98721022,99060373,99145100,99147843,99161134,99193963,99691849,...,11045270491905458388622527223374121555958815838069609701482434633847783505854642935643706443683799269217037354038493575472009449026890301029968908714938468360084591875835255905330576860235872342540696898332369391503845430051374854872782121462812429790079466433156613729031697685010198411101761263535640696601864028979508371815690889164455174291457532598986979247748183152100441750175743782149286066019982415431838645080241793362658085284731211469099341136103425730766479252320474338052585410884725262681666511880506824627508955857936664768965625874321296655690557861580359965029933021668857564896520111810666775769325525675830248709293716991459735083549623909016984382627537807074553938020307853296752820352212645333970142049801463348163218624213372414380010589244659579227163841797822411009387276610842611582082900751589307341900481682819708502367571790333640406869907607767099901209939537531246126009089793745127677870264453527907005471016871746912562023899509238698151445876403439300128900512871033170519134759592513460579759687571898327369600289910084660041764356710029197907489358935344873034515456218550481336048969821168551449637311081912021301014512191363921496762353125888763341366506730545849847386268116084107516803235514465172412340093756923512200930669901588159901605193457308287970195290811033821631960159216542431064234639957648035504276020437551766268864905343954001658182423318054950190088462522507381344513460934188929692757349200530885895281680409442138432965276100994600475821324686046128642780815502854742206358594788280352279601761847954752787846482637013474393070847502202430402467269195058891686103978446389236792173969898016935808063931489421261413245071467144369484695310503845892843219435607048463360001911349246513250724972590356230043551281360868565669357984744043449690176692113733778901364322648574512702075525415425297279823532786239521868703708319688839721341351855279113298996131576729788525326165240271786373751948187141141821482771023071238993352314560637715908768648344045900853395295098988625805107677428349971853512441065744590051618657039612258889592538594758513582746343721561888696372304310374890517998378679341732706116076349195629834500112253869789550229436790703816119400969493510089777233773797039731972645454509473949411285878682772160360437370940211653582492580442239154714009426640931833629595194673024768072114978875566871795033403753455231140506913062813177225799747264707828435172228551492877404203956929596895493314738459116938761941882366601380409797908283226992413635731925593570697162462162346683167039974164633962311100211889122203673738270877404484818333323400617105277303683341376999027399198498523964901505292550741888014548939599717382700285584941790395480989455241013762628542210698682564385933615802748497453706822902356448107480404455234599500732738273819812128947623406895636455724790377751334075034063572768663280212213604372819358491857199416484250057450763136869508302675366833640181261191656506691812289499690053655458030236989800403892663250675510950973696645375155911005782087568189137102523781401408022729356690077277339419900536646432020798281664726728773369149852598152384095766991391574324317288152222736330822577782162036351719570165166249852384746741851387581649861996911291134091076700823907227888557631019003863318023578055820132790919265475496111287305626782716491058549695199509773580161367110512712284534892279652870571059441721989051047224818348216487977807690892591309932461152413158366977079276959432234345623020126998682029103380349808975567021506267070923774763484164242719640543419889854218811422307945664082747049214556973896299733257399691317578939577966410304931076750497617671037428162}
23115  31668426886835101690721832529439866366851316626477297513794906575675140415399: {900861,1270445,1524534,2146533,2263702,2655005,2837733,3186006,3233860,3346745,3666381,3880632,4016094,4080381,4317269,4365711,4619800,4907733,5045541,5197275,5419805,5543760,5734221,5839493,5913344,5975389,6110105,6141142,6236730,6503766,6652512,6670409,6972333,7332126,7484076,7521981,7803406,8178845,8536270,8773060,9297613,9556205,9579741,9814614,10243524,10244345,10264461,10401333,10401413,10527672,10806229,10989412,11402014,11467446,11843631,11920469,12293214,12306605,12735037,12889981,13133733,13205764,13883926,14496333,14767926,14864164,15172822,15383021,15437470,15624469,15699160,15734422,15736505,16070729,16210477,16535733,17105326,17105945,17214333,17395534,17661555,18192910,18271513,18524964,18834301,18838992,18883806,19157405,19295716,19390937,19834180,19840505,20164054,20403604,20527134,21018173,21193866,21234520,21610582,21675460,21813814,21831492,21854521,22153933,22186606,22320670,22348216,22988886,23108117,23801016,23808606,23888835,24436180,24580894,25141743,25444941,25467862,25481424,25556333,25777726,26010552,26476324,26651705,26776143,26784804,27168214,27330845,27793589,28084541,28170766,28658733,28666602,28679182,28688045,29008222,29261871,29315917,29323416,29366105,29438596,29460021,30127101,30343012,30713653,30872260,30921022,31326333,31402157,31513755,31543129,31982046,32418142,32581081,32797014,32882134,32988843,33104093,33170326,33320733,33426905,33614672,33703486,33851661,34425654,34529176,34548517,35239326,35344894,35916574,36083044,36374926,36382660,36539854,36632733,36984574,37046712,37331679,37516375,37546564,37593293,37816506,37823320,38085261,38480901,38612733,38845323,39236206,39399197,40051256,40112286,40587333,40838045,40970260,41449294,41494141,41598436,41677551,42135269,42511534,42551235,42556533,42580621,43342701,43347160,43522205,43623844,43659192,43705246,44192345,44373029,44389581,44442475,44997301,45019650,45057663,45387984,45531545,46046595,46404574,47087141,47285134,47386180,47537645,47673604,47806309,48020960,48616804,48765555,48873245,49005654,49116368,49116591,49157524,49164312,49639469,49670686,49860501,50024633,50830852,50853389,51061482,51545301,51949369,51964180,52016592,52073893,52226646,52355926,52460062,52774309,52871405,53030814,53247454,53330970,53476169,53500804,53640075,53933113,54023580,54129381,54637854,54817375,54902733,55137214,55255914,55309851,55368221,55417821,55431887,55526072,55529645,56061141,56863416,56886368,56960781,57044269,57045174,57123869,57216080,57464254,57625152,57679419,58011412,58013566,58421629,58510335,58518666,58570222,58618373,58626742,58647894,58884621,59814436,60357853,61186101,61421974,61521412,61823662,61836676,62357016,62411024,62466831,62588733,63080782,63097133,63352581,63445686,63489250,63818902,63860254,63966526,63971343,63997164,64129145,64271764,64368090,64619374,64828296,64987237,65052484,65258421,65758564,65780850,66629048,66635574,66961733,67420445,67538301,67664733,68422821,68659296,68665975,68801541,69181493,69312243,69432261,69661837,70151643,70166240,70188333,70212402,70220854,70251195,70683652,71623513,71930381,71942596,72013145,72460549,72576694,72931833,73203981,73343662,73519853,73962724,74365275,74379029,74794180,74934608,74957679,75282521,75391870,75673294,75831333,75856846,75935705,76187100,76429720,76695449,76954974,77114989,77241708,77291086,77550292,78107221,78543545,78625661,78708056,78937020,78945333,79188410,79322960,79458269,80020996,80094862,80495645,80521486,80806533,80904534,81200254,81266240,81794206,81920661,82399170,82514575,82981054,83039764,83093405,83189656,83459470,83621974,83632375,84058084,84199488,84264964,84301434,84512733,85015684,85037945,85153846,85461229,85556953,85983435,86415774,87065422,87892448,88247134,88259189,88342133,88546563,88731032,88809333,89238330,89444062,89542941,89599755,89753016,90111076,90470244,90960472,91002709,91122846,91129461,91169860,91271422,91424520,91715664,92140205,92801092,92838910,92876117,92932120,92955021,93426845,93562341,93588363,93653326,94142552,94252254,94290333,94724424,95026092,95131193,95187552,95573072,95606749,95723573,95995805,96594774,97193661,97207006,97428574,97519488,97602616,97748035,97917333,97918745,98094250,98176804,98640141,98879004,99017490,99110777,99268995,99516910,99629284,99712086,99822411,99842901,...,16567905737858187582933790835061182333938223757104414552223651950771675258781964403465559665525698903825556031057740363208014173540335451544953363072407702540126887813752883857995865290353808513811045347498554087255768145077062282309173182194218644685119199649734920593547546527515297616652641895303461044902796043469262557723536333746682761437186298898480468871622274728150662625263615673223929099029973623147757967620362690043987127927096817203649011704155138596149718878480711507078878116327087894022499767820760236941263433786904997153448438811481944983535836792370539947544899532503286347344780167716000163653988288513745373063940575487189602625324435863525476573941306710611830907030461779945129230528318968000955213074702195022244827936320058621570015883866989368840745762696733616514080914916263917373124351127383961012850722524229562753551357685500460610304861411650649851814909306296869189013634690617691516805396680291860508206525307620368843035849263858047227168814605158950193350769306549755778702139388770190869639531357847491054400434865126990062646535065043796861234038403017309551773184327825722004073454731752827174455966622868031951521768287045882245143529688833145012049760095818774771079402174126161275204853271697758618510140635385268301396004852382239852407790185962431955292936216550732447940238824813646596351959936472053256414030656327649403297358015931002487273634977082425285132693783761072016770191401283394539136023800796328842922520614163207649447914151491900713731987029069192964171223254282113309537892182420528419402642771932129181769723955520211589606271253303645603700903792588337529155967669583855188260954847025403712095897234131892119867607200716554227042965755768839264829153410572695040002867023869769876087458885534345065326922041302848504036977116065174535265038170600668352046483972861769053113288123137945919735299179359282803055562479533259582012027782918669948494197365094682787989247860407679560627922280711712732224156534606858490028471840956573863152972516068851280092942648482938707661516142524957780268661598616885077427985559418388334388807892137770374119515582342833044558456465562335776997568019012599059174114523793444751750168380804684325344155186055724179101454240265134665850660695559597958968181764210924116928818024158240540656056410317480373738870663358732071014139961397750444392792009537152108172468313350307692550105630182846710760369594219765838699620897061742652758342827239316106305935394395343239972107688675408142912823549902070614696862424840488620453597888390356045743693243520024750559961246950943466650317833683305510607406316106727227499985100925657915955525012065498541098797747785947352257938826112832021823409399576074050428377412685593221484182861520643942813316048023846578900423704122746180560234353534672161220606682851899251099107410729718193421435110343454683587185566627001112551095359152994920318320406559229037737785799124726375086176144705304262454013050250460271891787484760037718434249535080483187045355484700605838994876013266426460544968062733866508673131352283705653785672102112034094035035115916009129850804969648031197422497090093160053724778897228576143650487087361486475932228334104496233866673243054527579355247749374778577120112777081372474792995366936701136615051235860841832836446528505794977035367083730199186378898213244166930958440174074736587824542799264660370242050665769068426802338419479305856589162582983576570837227522324731966711536338886964898691728619737550465618915439148351518434530190498023043655070524713463350532259400606385662145226246364079460815129834781328217133461918496124120573821835460844449599886099536976368409366949615457396615125746426506556142243}
23116  31781862591174406768241631081995587367311358000503824086719590629213436049607: {392683,669523,1201148,1222339,1360363,1984106,2032712,2049403,2286801,2599339,2812466,2862044,3363986,3395553,3783644,3969139,4042325,4105723,4248008,4465298,4740266,4779009,4850790,4888508,5174176,5354792,5440508,5467603,5774750,5820948,5874763,6010339,6024141,6543644,6727388,6929700,6934826,7391680,7645628,7900843,8315640,8671688,8840803,8847506,8870016,9211713,9296444,9355095,9510043,9755649,9776168,9978768,10029308,10843123,10966325,10998189,11226114,11374339,11705109,12772988,12804405,13086152,13159590,13658032,13685948,13736765,13868444,14003498,14036896,14537443,14721921,15082346,15289928,15321739,15351698,15365286,15791508,16103443,16390952,16484118,16507205,16964786,17103021,17201169,17271139,17511644,18037298,18046363,18439821,18580205,18690403,19075963,19328444,19554689,19623950,19690568,19717123,19808646,20825889,20974826,21756739,22047644,22151889,22296246,22759233,22952444,23148283,23156205,23548740,23601633,24119645,24280339,24423986,24688298,24699952,24792725,25118656,25178408,25504505,25657989,25744106,26029723,26093301,26543150,26775139,27094325,27289365,27369512,27586226,27787446,27888403,27935270,28258488,28325709,28373546,28943574,29108656,29412838,29682866,29751270,30205586,30213029,30246081,30545225,30605406,30651848,30790701,31071739,31734688,31744808,31790799,31851780,32403883,32415873,32513190,32720721,32747238,32810546,33095405,33279909,33481005,33487339,33522324,33607363,33926588,33975232,34483329,34680736,34684339,35044849,35701524,35712909,35713072,36175466,36306413,36348043,36584563,36654270,36690986,36798245,36871341,37056739,37928765,38201793,38211644,38222136,38590325,38666589,39015828,39097888,39280028,39283843,39714486,40097803,40169468,40177206,40752321,41715139,41768444,42018340,42256149,42642728,42747403,42832298,42976822,42999903,43018773,43161470,43512333,43729352,43847786,43985124,44114683,44157894,44427644,45103805,45113906,45133339,45135548,45478325,45514518,45900872,46258339,46308390,46376426,46381533,46706323,46818139,46880426,46933205,46985768,47264683,47279150,47886698,47973069,48043363,48585313,48627213,48843644,48928963,49141298,49195521,49323201,49391786,49395616,49700083,49755489,49775572,50064070,50139139,50422008,50555229,50642066,50780348,51122803,51212825,51307868,51390506,51483644,51638481,51793764,51998045,52858989,53017341,53483048,53502763,53874861,53931739,54116444,54124566,54183950,54529805,54562389,54573990,54609646,54809781,55476861,55570068,56319846,56593298,56692003,56724759,56734980,56742044,57217243,57790268,57822698,58212256,58300417,58574443,58854309,59186108,59232725,59300203,59592005,59816443,60026200,60076884,60168429,60330883,60517312,60771005,61395460,61441622,61446905,61455390,62173941,62370643,62397654,62674123,62946866,63178483,63538565,63767301,63781339,64206593,64955225,65020740,65340872,65435766,65488788,65552416,65557869,65567782,65772139,66480668,66854803,66876005,67148563,67529475,68081976,68725298,68727068,68869549,69186739,69283003,69355456,69407590,69571363,69606861,69635528,69680306,69918698,70707752,70927701,71079270,71107960,71193163,71510406,71520100,72031440,72172508,72514265,72790949,72850472,72925206,73203644,73342709,73354243,73508481,73674552,73713386,73736286,73746468,73890428,74080981,74506029,74748188,74768045,75817888,75947708,76060232,76246278,76592223,76769426,76833536,76901765,76905892,77295845,77639653,77651923,77938346,77946270,78013780,78024888,78197192,78339969,78512828,78533889,78690093,78812563,79336298,79546221,79590413,79697083,79871181,79996455,80251206,80339705,81035370,81315605,81581468,81956781,81963139,82198205,82307443,82374733,82578026,82705821,82883871,83142688,83286310,83289108,83451644,83626438,84096139,84188306,84470108,84594248,85295124,85329552,85402289,85567761,85824120,86184139,86196381,86437728,86476466,86509313,86596339,87011228,87017118,87020349,87615146,87707800,87740923,87777999,87855333,87940113,87971841,88354565,88750226,88847432,89429546,89721654,89928245,90051068,90146083,90206389,90219644,90225139,91090003,91230428,91545728,91735388,92132961,92282118,92416324,92453405,92576348,92651062,92735493,92755014,93492725,93535524,93584444,93616536,93668260,94161523,94537363,94621173,94836739,95072257,95168529,95233875,95506123,95537150,95642261,95728353,95790381,95949789,95995746,96407646,96552135,96575206,96929061,96937865,96972763,97117843,97162198,97242444,97259186,97578726,97605308,98363306,98385070,98552803,98637846,98671275,98803946,99153700,99943572,99953361,...,22090540983810916777245054446748243111917631676139219402964869267695567011709285871287412887367598538434074708076987150944018898053780602059937817429876936720169183751670511810661153720471744685081393796664738783007690860102749709745564242925624859580158932866313227458063395370020396822203522527071281393203728057959016743631381778328910348582915065197973958495496366304200883500351487564298572132039964830863677290160483586725316170569462422938198682272206851461532958504640948676105170821769450525363333023761013649255017911715873329537931251748642593311381115723160719930059866043337715129793040223621333551538651051351660497418587433982919470167099247818033968765255075614149107876040615706593505640704425290667940284099602926696326437248426744828760021178489319158454327683595644822018774553221685223164165801503178614683800963365639417004735143580667280813739815215534199802419879075062492252018179587490255355740528907055814010942033743493825124047799018477396302891752806878600257801025742066341038269519185026921159519375143796654739200579820169320083528713420058395814978717870689746069030912437100962672097939642337102899274622163824042602029024382727842993524706251777526682733013461091699694772536232168215033606471028930344824680187513847024401861339803176319803210386914616575940390581622067643263920318433084862128469279915296071008552040875103532537729810687908003316364846636109900380176925045014762689026921868377859385514698401061771790563360818884276865930552201989200951642649372092257285561631005709484412717189576560704559203523695909505575692965274026948786141695004404860804934538390117783372207956892778473584347939796033871616127862978842522826490142934288738969390621007691785686438871214096926720003822698493026501449945180712460087102562721737131338715969488086899380353384227467557802728645297149025404151050830850594559647065572479043737407416639377679442682703710558226597992263153459577050652330480543572747503896374282283642965542046142477986704629121275431817537296688091801706790590197977251610215354856699943707024882131489180103237314079224517779185077189517027165492687443123777392744608620749781035996757358683465412232152698391259669000224507739579100458873581407632238801938987020179554467547594079463945290909018947898822571757365544320720874741880423307164985160884478309428018853281863667259190389346049536144229957751133743590066807506910462281013826125626354451599494529415656870344457102985754808407913859193790986629476918233877523883764733202760819595816566453984827271463851187141394324924324693366334079948329267924622200423778244407347476541754808969636666646801234210554607366682753998054798396997047929803010585101483776029097879199434765400571169883580790961978910482027525257084421397365128771867231605496994907413645804712896214960808910469199001465476547639624257895246813791272911449580755502668150068127145537326560424427208745638716983714398832968500114901526273739016605350733667280362522383313013383624578999380107310916060473979600807785326501351021901947393290750311822011564175136378274205047562802816045458713380154554678839801073292864041596563329453457546738299705196304768191533982783148648634576304445472661645155564324072703439140330332499704769493483702775163299723993822582268182153401647814455777115262038007726636047156111640265581838530950992222574611253565432982117099390399019547160322734221025424569069784559305741142118883443978102094449636696432975955615381785182619864922304826316733954158553918864468691246040253997364058206760699617951134043012534141847549526968328485439281086839779708437622844615891328165494098429113947792599466514799382635157879155932820609862153500995235342074856324}
23117  31895701948113689287342308099066428931112715345244165362327211766125975574593: {23117,1501435,1778623,1801722,2540890,2976159,3049068,3577555,3717007,4218699,4293066,4527404,4685443,4729555,4825183,5045979,5102227,5310010,5675466,6110635,6372012,6467720,6693490,6697947,6800635,6901219,7110399,7276185,7332762,7455163,7587727,7761264,8032188,8160762,8179555,8409235,8554147,8634538,8662125,8731422,9239600,9557035,9815466,10091082,10394550,10402239,10839610,10908799,11087520,11374003,11450383,11468442,11620555,11678986,11826688,11921503,11950778,12204559,12220210,12282284,12292579,12473460,12536635,13007532,13271259,13305024,13340818,13378687,13439899,13944666,14087827,14342083,14506627,14664252,14968152,15043962,15606812,15966235,16072123,16357690,16443919,16839171,16854667,16979743,17072540,17107435,17229247,17335555,17546120,17961403,18419347,18595226,19112410,19159482,19392619,19621507,19629228,19739385,20010463,20487048,20488690,20528922,20728243,20802666,20802826,21005247,21055344,21612458,21738979,21889555,21978824,22031107,22533643,22623519,22804028,22934892,23027547,23047929,23110123,23687262,23840938,23891443,23948323,24160555,24586428,24613210,24726177,24839659,25447179,25470074,25779962,25826719,26062399,26267466,26411528,26820367,27055947,27559555,27767852,27776707,27796003,28086979,28576507,28580299,28690555,28992666,29435925,29535852,29712969,29728328,30202939,30345644,30766042,30874940,30917203,31063423,31248938,31398320,31404883,31462239,31468844,31473010,32141458,32420954,32476987,33071466,33444369,33567823,34210652,34211890,34428666,34791068,34815643,34950163,35323110,35484607,36385820,36543026,36635979,37032447,37049928,37312387,37668602,37677984,37767612,37931947,38263183,38314810,38591432,38616159,38652259,38781874,39123019,39402619,39668360,39681010,39814725,40163263,40328108,40734763,40807208,41054268,41112547,41136799,41379339,41681169,41824267,41902905,42036346,42116383,42387732,42408235,42469040,42560319,43221164,43350920,43415361,43627628,43662984,43709042,43927999,44119257,44307866,44373212,44376883,44524299,44626905,44641340,44696432,44729803,45155947,45308379,45908109,45977772,46216234,46537567,46797667,47392003,47602032,47617212,47764555,47777670,48769785,48872360,49100035,49120857,49161788,49215819,49598707,49796227,50143423,50211835,50254843,50283486,50889882,50935724,50962848,51112666,51555452,52021104,52210555,52464859,52522925,52952648,53303410,53412739,53480827,53552286,53569608,54256843,54263199,54336428,54661690,54981405,55036479,55534555,55587178,55678123,56169082,56341532,56419435,57173263,57317466,57333204,57335347,57358364,57376090,57627163,58016444,58523742,58631834,58646832,58664827,58732210,58877192,58920042,59186719,59571729,59767483,60254202,60265809,60686024,60931087,61054555,61234867,61427306,61744520,61842044,61869283,62219465,62652666,62804314,63027510,63086258,63475435,63558427,63744163,63809503,63964092,64134835,64248447,64354555,64465233,64637899,64742205,64836284,65162162,65594028,65764268,65771679,65977686,66208186,66236841,66340652,66552703,66641466,66853810,67229344,67406972,67510027,67645555,67670859,67703322,68271777,68422543,68847979,68851308,69058352,69097034,69187519,69276259,69462585,69564639,69748603,70228159,70320639,70478652,70689788,70918725,70927555,71830047,71833148,72166088,72237835,72436447,72749852,72765320,73079708,73265466,73711947,73969148,73982635,74019967,74087679,74093424,74368699,74569339,74663358,75032750,75093128,75096105,75157867,75186586,75633012,75646640,75963099,76170522,76744325,76961802,77085759,77225466,77474083,77690646,77741503,78245179,78472412,78798394,79681039,80102512,80224572,80474419,81174666,81186849,81275925,81676090,81860985,81914469,81940520,82825507,82898588,82988282,83100835,83129503,83196872,83355102,84270538,84404683,84479769,84565363,84889947,85023068,85102470,85113066,85161242,85718443,85908835,86522659,86685402,86694320,86726707,86734047,86887099,87044410,87247688,87318384,87410492,88384690,88746058,88779162,88884950,89036803,89400125,89780803,89994602,90039300,90115326,90215635,90775968,90950107,91063090,91202659,91504555,91797343,92093190,92162433,92183085,92363035,92809148,92884243,93435235,93596481,93653323,93905227,94174282,94388623,94420299,94570268,94748863,94772360,94934635,95075290,95347208,95612618,96041920,96132365,97014979,97206043,97233608,97517225,97531110,97746490,98011308,98141035,98153649,98232736,98233182,98315048,98328624,98351673,98642623,99170203,99278938,99341372,99721002,99771739,...,33135811475716375165867581670122364667876447514208829104447303901543350517563928806931119331051397807651112062115480726416028347080670903089906726144815405080253775627505767715991730580707617027622090694997108174511536290154124564618346364388437289370238399299469841187095093055030595233305283790606922089805592086938525115447072667493365522874372597796960937743244549456301325250527231346447858198059947246295515935240725380087974255854193634407298023408310277192299437756961423014157756232654175788044999535641520473882526867573809994306896877622963889967071673584741079895089799065006572694689560335432000327307976577027490746127881150974379205250648871727050953147882613421223661814060923559890258461056637936001910426149404390044489655872640117243140031767733978737681491525393467233028161829832527834746248702254767922025701445048459125507102715371000921220609722823301299703629818612593738378027269381235383033610793360583721016413050615240737686071698527716094454337629210317900386701538613099511557404278777540381739279062715694982108800869730253980125293070130087593722468076806034619103546368655651444008146909463505654348911933245736063903043536574091764490287059377666290024099520191637549542158804348252322550409706543395517237020281270770536602792009704764479704815580371924863910585872433101464895880477649627293192703919872944106512828061312655298806594716031862004974547269954164850570265387567522144033540382802566789078272047601592657685845041228326415298895828302983801427463974058138385928342446508564226619075784364841056838805285543864258363539447911040423179212542506607291207401807585176675058311935339167710376521909694050807424191794468263784239735214401433108454085931511537678529658306821145390080005734047739539752174917771068690130653844082605697008073954232130349070530076341201336704092967945723538106226576246275891839470598358718565606111124959066519164024055565837339896988394730189365575978495720815359121255844561423425464448313069213716980056943681913147726305945032137702560185885296965877415323032285049915560537323197233770154855971118836776668777615784275540748239031164685666089116912931124671553995136038025198118348229047586889503500336761609368650688310372111448358202908480530269331701321391119195917936363528421848233857636048316481081312112820634960747477741326717464142028279922795500888785584019074304216344936626700615385100211260365693421520739188439531677399241794123485305516685654478632212611870788790686479944215377350816285825647099804141229393724849680977240907195776780712091487386487040049501119922493901886933300635667366611021214812632213454454999970201851315831911050024130997082197595495571894704515877652225664043646818799152148100856754825371186442968365723041287885626632096047693157800847408245492361120468707069344322441213365703798502198214821459436386842870220686909367174371133254002225102190718305989840636640813118458075475571598249452750172352289410608524908026100500920543783574969520075436868499070160966374090710969401211677989752026532852921089936125467733017346262704567411307571344204224068188070070231832018259701609939296062394844994180186320107449557794457152287300974174722972951864456668208992467733346486109055158710495498749557154240225554162744949585990733873402273230102471721683665672893057011589954070734167460398372757796426488333861916880348149473175649085598529320740484101331538136853604676838958611713178325165967153141674455044649463933423072677773929797383457239475100931237830878296703036869060380996046087310141049426926701064518801212771324290452492728158921630259669562656434266923836992248241147643670921688899199772199073952736818733899230914793230251492853013112284486}
23118  32009946384567026214584346887640264839180951160532116999973235506060042992977: {438881,715697,785366,853997,1084337,1339046,1360481,1406477,1820081,2049581,2233037,2324717,2402296,2444678,2462177,2702583,2720726,3604877,3811335,3968212,4065424,4098806,4151597,4515437,4573602,4833377,5198678,5513357,5624932,5659255,5724088,5875277,6439599,6727972,6791106,7002977,7092977,7542497,7567288,7938278,7946381,7965015,8084650,8211446,8349617,8496016,8513199,8618081,8930596,9020237,9109517,9287981,9480532,9510881,9555437,9558018,9701580,9777016,9956081,10040235,10178381,10348352,10578017,10709584,10844081,10881016,10935206,10999143,11286881,11549500,11641896,11749526,12020678,12048282,12241143,12346337,12830381,12951807,13006157,13087288,13097133,13225697,13454776,13664177,13859400,13869652,13883117,14723199,14783360,15136623,15192557,15291256,15352855,15591825,15801686,15887981,16259415,16278257,16631280,16797617,17186381,17202663,17343376,17518479,17681606,17695012,17740032,17926167,18090977,18330315,18423426,18434657,18592888,18692081,18710190,19020086,19120481,19231471,19508515,19511298,19552336,19957536,20011227,20058616,20613581,20916999,20995937,21340675,21504737,21686246,21932650,21996378,22307981,22452228,22565943,22748678,22940081,23110087,23192417,23410218,23947697,24031457,24536535,25545976,25608810,25907597,26012287,26172304,26319180,27066797,27316064,27371896,27473530,27520481,27736888,27890957,27892839,27932081,28006996,28073792,28301837,28383917,28505035,28668615,28739223,28752881,29074886,29443842,29611277,29733617,30018797,30164692,30579856,30643478,30703396,30730572,30733035,30793383,31203999,31204239,31583016,31842737,32206886,32418687,32781904,32968236,33014410,33049697,33410381,33610481,33767503,33929572,34206042,34369037,34402338,34448717,34542278,34709815,34806881,34965857,35023288,35164397,35530893,35706307,35761407,36074596,36092726,36390881,36824237,36879642,36919815,37160410,37217357,37380806,37922957,37932055,38151926,38205111,38391917,38593675,38656888,38669943,39109378,39247900,39336055,39381136,39401199,39434246,39617292,39753137,40449377,40912097,41258381,41651778,41834081,41949652,42178637,42446177,42560717,42763315,42789581,42907579,43488835,43488999,43513478,43891697,44095288,44118881,44303778,44592492,44836397,45482275,45518466,45626081,45904888,46149063,46296566,46312410,46333567,46412237,46748081,46873407,47097480,47203266,47209515,47306381,48047981,48084977,48212187,48239290,48560678,48631431,48749537,48847972,49191137,49376596,49399904,49585450,49607199,49704881,49924577,50237312,50356816,50399597,50410135,51009010,51127757,51315978,51317835,51488212,51517543,51642999,52059446,52186602,52984665,53086300,53100271,53507981,53550278,54026455,54188650,54534535,54578730,54720557,54739024,54814539,54898097,55172452,55252577,55323377,55464881,55466515,55574892,55641581,55776806,55801675,55870540,55994381,56486957,56502903,56516976,56651418,56732657,56747092,57472215,57885677,57887148,58172811,58217312,58406897,58825676,58926317,59365732,59502540,59521515,59616077,59822381,59856737,60371117,60411172,60426058,60492162,60542177,61090450,61210812,61303696,61452235,61496417,61581402,61869581,62143478,62410637,63054519,63145327,63218381,63419597,63469376,63489616,63581598,63587057,63669655,63703560,64221581,64444315,64587617,64687277,64807766,64831746,65026380,65382881,65441442,65494476,65563563,65621092,65706487,66190810,66370481,66461799,66559818,66894257,66962010,66974678,67044648,67214726,67853176,67920535,67950464,67968077,68966658,69322157,69324351,69361472,69368678,69418337,69610481,70089698,70426915,70535117,71389937,71403048,71425818,71426144,71484557,71666505,71697955,71705057,71799437,71862317,72270257,72350932,72458081,72520555,72612826,72696086,72797263,73169126,73308540,73381972,73596490,73742682,74113478,74197217,74658797,75057377,75118577,75425229,75857530,75880519,76334823,76341727,76403586,76423288,76444272,76668999,77180650,77210381,77302555,77333178,78031656,78195776,78554081,78560056,78567686,78850481,79428972,79470317,79734881,79955115,80195606,80320481,80328429,80338936,80354412,81045355,81504642,81971263,81992535,82205335,82925815,83029937,83172077,83380767,83428807,83430278,83512397,83536888,84036680,84253623,84258715,84512298,85079407,85141037,85285456,85494806,85664596,85696397,85953644,85972877,85976199,85999806,86025667,86037546,86064135,86276081,86322940,86441057,86677747,86852237,87024666,87261617,87458704,87695572,87777581,87785613,87947751,87970248,88098315,88155917,88229366,88315788,88344497,88362235,88380063,88747277,88855288,88953991,89121581,89520881,89759597,89791435,90182381,90207610,90227812,90266678,90271096,90381303,90419297,90576881,90865037,90937315,90956650,91029036,91349635,91360481,91594157,91801744,92140959,92461435,92496737,92516678,92616780,92752852,92763066,92906081,93033581,93135437,93287981,93412646,93516257,93626407,93636278,93642797,93760852,93866410,93971536,93978999,94172081,94197197,94206471,94529366,94541265,94558300,94629387,95442797,95773396,95946138,96086726,96131597,96278381,97128881,97153037,97170626,97254426,97687288,97743243,97857926,98090515,98282596,98391042,98587757,98646402,98658737,98706017,98783572,98791232,98918381,98966529,99294317,99312279,99400166,99481517,99510978,99551144,99761357,99962199,...,49703717213574562748801372505183547001814671271313243656670955852315025776345893210396678996577096711476668093173221089624042520621006354634860089217223107620380663441258651573987595871061425541433136042495662261767304435231186846927519546582655934055357598949204761780642639582545892849957925685910383134708388130407787673170609001240048284311558896695441406614866824184451987875790847019671787297089920869443273902861088070131961383781290451610947035112465415788449156635442134521236634348981263682067499303462280710823790301360714991460345316434445834950607510377111619842634698597509859042034340503148000490961964865541236119191821726461568807875973307590576429721823920131835492721091385339835387691584956904002865639224106585066734483808960175864710047651600968106522237288090200849542242744748791752119373053382151883038552167572688688260654073056501381830914584234951949555444727918890607567040904071853074550416190040875581524619575922861106529107547791574141681506443815476850580052307919649267336106418166310572608918594073542473163201304595380970187939605195131390583702115209051928655319552983477166012220364195258481523367899868604095854565304861137646735430589066499435036149280287456324313238206522378483825614559815093275855530421906155804904188014557146719557223370557887295865878808649652197343820716474440939789055879809416159769242091968982948209892074047793007461820904931247275855398081351283216050310574203850183617408071402388986528767561842489622948343742454475702141195961087207578892513669762846339928613676547261585258207928315796387545309171866560634768818813759910936811102711377765012587467903008751565564782864541076211136287691702395676359602821602149662681128897267306517794487460231718085120008601071609309628262376656603035195980766123908545512110931348195523605795114511802005056139451918585307159339864369413837759205897538077848409166687438599778746036083348756009845482592095284048363967743581223038681883766842135138196672469603820575470085415522869721589458917548206553840278827945448816122984548427574873340805984795850655232283956678255165003166423676413311122358546747028499133675369396687007330992704057037797177522343571380334255250505142414052976032465558167172537304362720795403997551982086678793876904545292632772350786454072474721621968169230952441121216611990076196213042419884193251333178376028611456324517404940050923077650316890548540132281108782659297516098862691185227958275028481717948318917806183186029719916323066026224428738470649706211844090587274521465861360793665171068137231079730560074251679883740852830399950953501049916531822218948320181682499955302776973747866575036196495623296393243357842056773816478338496065470228198728222151285132238056779664452548584561931828439948144071539736701271112368238541680703060604016483661820048555697753297322232189154580264305331030364050761556699881003337653286077458984760954961219677687113213357397374179125258528434115912787362039150751380815675362454280113155302748605241449561136066454101817516984628039799279381634904188201599526019394056851116961357016306336102282105105347748027389552414908944093592267491270279480161174336691685728430951461262084459427796685002313488701600019729163582738065743248124335731360338331244117424378986100810103409845153707582525498509339585517384931106101251190597559136694639732500792875320522224209763473628397793981110726151997307205280407015258437917569767487748950729712511682566974195900134609016660894696075185859212651396856746317445054555303590571494069130965211574140390051596778201819156986435678739092238382445389504343984651400385755488372361721465506382533348799658298610929105228100848846372189845377239279519668426729}
23119  32124597332459414467989754800084348487455788735096763053259999586976341996626: {46234,1178049,2008569,2102009,3002870,3557246,3603444,3667017,4081089,4960265,5008577,5081780,5702489,5952318,6098136,6148209,6621377,6860403,7031165,7155110,7434014,7798017,8332241,8409965,8437398,8554889,8586132,9054808,9370886,9389897,9459110,9520889,9650366,10091958,10186659,10204454,10620020,11163245,11350932,11451377,11772929,11850665,11907417,12126975,12158417,12221270,12317169,12712121,12744024,12892217,12935440,13379849,13386980,13395894,13601270,13802438,14089049,14220798,14337027,14436875,14552370,14665524,14910326,15175454,15522528,15883517,16064376,16213289,16268777,16321524,16359110,16402809,16818470,16856129,16981217,17108294,17269076,17324250,17337065,17462844,17551289,17624289,17962961,18031017,18072423,18479200,18837569,19114070,19623209,19630932,20012201,20066969,20182164,20586329,20730041,20789100,20804478,21679220,21817598,22118765,22157777,22175040,22352729,22748006,22799417,22900766,22936884,23241110,23357972,23648729,23653376,23702529,23843006,23893517,23901556,23950409,24269777,24409118,24440420,24552737,24564568,24585158,24735869,24946920,25073270,25828961,26015064,26522409,26542518,26610048,26630669,26681636,26702201,26757374,26879798,27635139,27889332,28065285,28175654,28530129,28578989,28684166,29013254,29266947,29328504,29936304,30087924,30645377,30801017,31066121,31213624,31932470,31938449,32144246,32529369,32715380,32887838,32898975,32994567,33570737,33678342,33709334,33776717,33824777,33959486,34123017,34145080,34214870,34458494,34554521,34671110,34953197,35008745,35092240,35115327,35487689,35922806,36297809,36655049,36838694,37190452,37705865,38224820,38318964,38379245,38413215,38583377,38785238,38911601,39243014,39258456,39478770,40020926,40166777,40738301,40974096,40977380,41057844,41210295,41456486,41605332,41605652,41821889,42010494,42110688,42120041,42394529,42411965,42606029,43224916,43477958,43544057,43612329,43779110,43957648,44062214,44165763,45067286,45093245,45159869,45247038,45608056,45869784,45965217,46055094,46095858,46220246,46541609,46744769,47374524,47681876,47782886,47814617,47896646,48310329,48321110,48616217,48726989,49059875,49172856,49226420,49452354,49521615,49679318,50660417,50894358,50940148,51309063,51559924,51603507,51653438,51813417,51958397,52124798,52437065,52534932,52718201,52823056,53640734,54111894,54139089,54261569,54470417,55119110,55319463,55433849,55535704,55553414,55592006,55740615,56071209,56173958,57153014,57160598,57227889,57381110,57565517,57985332,58394129,58664067,58871850,59071704,59151369,59260409,59371529,59425938,59456656,59772689,60405878,60449897,60640001,60691288,61059965,61532084,61720745,61749880,61834406,62126846,62477667,62497876,62796640,62809766,62924478,62937688,62946020,63211217,64282916,64360265,64679309,64841908,64953974,65270217,65972537,66142932,66357875,66455667,66870377,66888738,67135646,67237769,68104829,68277699,68421304,68423780,68438969,68740049,68857332,68965565,69444849,69468615,69582136,69631286,69838175,69900326,70296569,70527917,70646220,70804899,70933865,70969214,71035889,72206417,72358935,72771640,72841017,73086052,73094777,73271958,73532095,74064894,74099856,74207165,74378175,74624774,75337204,75355968,75513965,75535224,75715949,75863894,76513515,76526366,76629620,76973967,77182864,77232318,77304518,77563748,77748377,77954321,78089169,78246038,78279903,78805238,78987209,79336720,79362020,79629450,80325417,80326526,80656216,81282975,81469526,81614416,81868095,82026365,82062017,82108536,82225094,82273598,82758678,82931057,83362338,83648534,83665209,83805810,83999969,84072692,84232766,84572729,84775464,84816470,84938080,84977127,85120638,85373009,85476377,86442328,86588681,86701840,86830722,87107251,87255256,87325968,87418084,87855998,88238514,88615732,88746424,88753766,88865609,88959917,89048598,89253810,89282680,89392864,89459606,89788769,90096377,90311894,90397457,90438665,90616758,90639087,90738243,90891329,91635675,91727465,91805417,91816218,91955544,92372103,92432468,92650109,93075134,93215217,93595334,93661517,94703777,94784006,95204064,95234424,95372397,95529110,95555340,96929849,97211649,97247619,97539570,97744720,98162163,98200070,98241714,98323576,98431638,99197414,99286215,99298577,99511721,99592454,99750989,99839727,...,66271622951432750331735163340244729335752895028417658208894607803086701035127857613862238662102795615302224124230961452832056694161341806179813452289630810160507551255011535431983461161415234055244181389994216349023072580308249129236692728776874578740476798598939682374190186110061190466610567581213844179611184173877050230894145334986731045748745195593921875486489098912602650501054462692895716396119894492591031870481450760175948511708387268814596046816620554384598875513922846028315512465308351576089999071283040947765053735147619988613793755245927779934143347169482159790179598130013145389379120670864000654615953154054981492255762301948758410501297743454101906295765226842447323628121847119780516922113275872003820852298808780088979311745280234486280063535467957475362983050786934466056323659665055669492497404509535844051402890096918251014205430742001842441219445646602599407259637225187476756054538762470766067221586721167442032826101230481475372143397055432188908675258420635800773403077226199023114808557555080763478558125431389964217601739460507960250586140260175187444936153612069238207092737311302888016293818927011308697823866491472127806087073148183528980574118755332580048199040383275099084317608696504645100819413086791034474040562541541073205584019409528959409631160743849727821171744866202929791760955299254586385407839745888213025656122625310597613189432063724009949094539908329701140530775135044288067080765605133578156544095203185315371690082456652830597791656605967602854927948116276771856684893017128453238151568729682113677610571087728516727078895822080846358425085013214582414803615170353350116623870678335420753043819388101614848383588936527568479470428802866216908171863023075357059316613642290780160011468095479079504349835542137380261307688165211394016147908464260698141060152682402673408185935891447076212453152492551783678941196717437131212222249918133038328048111131674679793976789460378731151956991441630718242511689122846850928896626138427433960113887363826295452611890064275405120371770593931754830646064570099831121074646394467540309711942237673553337555231568551081496478062329371332178233825862249343107990272076050396236696458095173779007000673523218737301376620744222896716405816961060538663402642782238391835872727056843696467715272096632962162624225641269921494955482653434928284056559845591001777571168038148608432689873253401230770200422520731386843041478376879063354798483588246970611033371308957264425223741577581372959888430754701632571651294199608282458787449699361954481814391553561424182974772974080099002239844987803773866601271334733222042429625264426908909999940403702631663822100048261994164395190991143789409031755304451328087293637598304296201713509650742372885936731446082575771253264192095386315601694816490984722240937414138688644882426731407597004396429642918872773685740441373818734348742266508004450204381436611979681273281626236916150951143196498905500344704578821217049816052201001841087567149939040150873736998140321932748181421938802423355979504053065705842179872250935466034692525409134822615142688408448136376140140463664036519403219878592124789689988360372640214899115588914304574601948349445945903728913336417984935466692972218110317420990997499114308480451108325489899171981467746804546460204943443367331345786114023179908141468334920796745515592852976667723833760696298946351298171197058641480968202663076273707209353677917223426356650331934306283348910089298927866846145355547859594766914478950201862475661756593406073738120761992092174620282098853853402129037602425542648580904985456317843260519339125312868533847673984496482295287341843377798399544398147905473637467798461829586460502985706026224568972}
23120  32239656228744251836582633562015807567448061249296343012953244528433237700310: {69351,877762,1406599,1431394,1544551,1570732,1707994,1820239,2168674,2370751,2508199,2678092,2720962,2812954,2920111,3605191,3640162,4099162,4466074,4504305,4561279,4649434,4804592,4889356,4924354,5335869,5405166,5441452,6352225,7138591,7209754,7622670,7677871,7922957,7936424,8130848,8197612,8303194,8618839,8928477,9030874,9147204,9556279,9666754,10397356,10732665,11026714,11151021,11249864,11287879,11318510,11448176,11750554,12347431,12656097,12875479,12879198,13007311,13275025,13455944,13582212,13928119,14005954,14056329,14185954,14188665,14475549,15084994,15106831,15134576,15137937,15306681,15876556,15892762,15930030,16169300,16422892,16539559,16699234,16733725,16799119,16992032,17026398,17236162,17861192,18040474,18219034,18331905,18479239,18575962,18961064,19021762,19110874,19116036,19403160,19554032,19912162,20080470,20093841,20356762,20401905,20696704,20703657,21156034,21331197,21419168,21421951,21493997,21586345,21688162,21762032,21828555,21870412,21929839,21998286,22056631,22309999,22365489,22573762,22763181,23099000,23283792,23499052,23572519,24041356,24075511,24096564,24482286,24538665,24577351,24692674,24702631,24827839,25227705,25660762,25662441,25903614,25986375,26012314,26174576,26194266,26451394,26909552,27099025,27311921,27316879,27328354,27718800,27739304,27766234,27934639,28427551,28671105,28796479,29197465,29446398,29566720,29876945,30021559,30273246,30385114,30550525,30582512,30705710,30728797,31183650,31206717,31360831,31603372,31603399,31775962,31845679,32518830,32556514,32726397,33052759,33262560,33293311,33352045,33595234,34122009,34351149,34372231,34372762,34405326,34686752,34849879,34861665,34969111,35036958,35363212,35390024,35480064,35764509,35852334,36181954,36613677,36660630,36846852,36867031,36869314,36877737,37185776,37220839,37384162,37420380,37609905,38040172,38240962,38395519,38462942,39017030,39022596,39104672,39795631,39813777,39907049,39915072,40022454,40117232,40136061,40319697,40894225,40954471,41227162,41300719,41833998,41991874,42220879,42263481,42681350,43009474,43026249,43250551,43372492,43519881,43865300,43933759,43992756,44615962,44840671,44904456,45131886,45292399,45497356,45880162,46220174,46384834,46416679,46488065,46820436,47477617,47781025,47895394,47898705,48062914,48089599,48216369,48593741,48754231,49073070,49195879,49306111,49331757,49526359,50517513,50564001,50708957,50939229,51091952,51217620,51221725,51322305,51687741,51815194,51930079,52006665,52007065,52024574,52344608,52579591,52638360,53104877,53884209,54031145,54133594,54632128,54725911,54743792,54938959,54947060,55040962,55070477,55258041,55364191,55473776,55682359,55781914,55785678,55864162,56013992,56147584,56316751,56603674,56767834,56843431,57010070,57337230,57473071,57478446,57505762,57786919,58149772,58177857,58412671,58864521,58887684,59218155,59222554,59467234,59602345,59862679,59868641,60031389,60037594,60329384,60684919,60884369,61159712,61196479,61286956,61406792,61461144,61466070,61533025,61586766,62184729,62214199,62407998,62408478,63015741,63166032,63675185,63685474,64228039,64413772,64449905,64627351,64726999,64837374,65216937,65422519,65521591,65563808,65668665,65719519,65936472,66028820,66093321,66099394,66114511,66409999,66820762,67220962,67535006,67585471,67600929,67859144,67870557,68412084,68738074,68804676,68847199,68897434,68943751,69082641,69084556,69143787,69330369,69419630,69613762,69931714,70046576,70328794,70478791,70574189,70764559,70859671,70954711,71061786,71412614,71428831,71522814,71674329,71712439,71806831,71844969,72149192,72185452,72371671,72465559,72481665,72781762,73648474,73759284,73839630,74143231,74178531,74235751,74320820,74434714,74518977,74761612,74789359,75065191,75637037,75845914,75864110,76303852,76341537,76348349,76410222,76783834,76915105,77187350,77248519,77313776,77339886,77480157,77653121,78122345,78145999,78187197,78218756,78495800,78672110,78682525,78762272,78802398,78868492,79234584,79478719,79506274,80353645,80358199,80461101,80898754,81052385,81167841,81317311,81824194,81836791,82516762,82678665,82953439,83303556,83330121,83388009,83549671,83668162,83899304,84260937,84357274,84731551,84892354,85121434,85150231,85233751,85526630,85529725,85579162,85729521,85733359,85740897,85815158,86033129,86064991,86071665,86889031,86977670,86977998,87026956,87783394,88111591,88190576,88237762,88307775,88354159,88607556,89137517,89138907,89184984,89317951,89397799,89672794,89676977,89954719,90222041,90429271,90508111,90586879,90608817,90901231,90964550,91036932,91252162,91357565,91370599,91604311,91614941,91809776,91992391,92298126,92593132,92624820,92667134,92751609,92824474,93145831,93190269,93298399,93496162,93746814,94171505,94194960,94207759,94214649,94386717,94406532,94419030,94612762,95088749,95774191,95787025,95847991,96095962,96142471,96169954,96424374,96478580,96875129,96954685,97121356,97164079,97262862,97430961,97499074,97695944,97741519,97885159,98382274,98385631,98597681,98740951,98753192,98799808,99164959,99170900,99202525,99214398,99305719,99409762,99726271,99796111,99849154,...,99407434427149125497602745010367094003629342542626487313341911704630051552691786420793357993154193422953336186346442179248085041242012709269720178434446215240761326882517303147975191742122851082866272084991324523534608870462373693855039093165311868110715197898409523561285279165091785699915851371820766269416776260815575346341218002480096568623117793390882813229733648368903975751581694039343574594179841738886547805722176140263922767562580903221894070224930831576898313270884269042473268697962527364134998606924561421647580602721429982920690632868891669901215020754223239685269397195019718084068681006296000981923929731082472238383643452923137615751946615181152859443647840263670985442182770679670775383169913808005731278448213170133468967617920351729420095303201936213044474576180401699084485489497583504238746106764303766077104335145377376521308146113002763661829168469903899110889455837781215134081808143706149100832380081751163049239151845722213058215095583148283363012887630953701160104615839298534672212836332621145217837188147084946326402609190761940375879210390262781167404230418103857310639105966954332024440728390516963046735799737208191709130609722275293470861178132998870072298560574912648626476413044756967651229119630186551711060843812311609808376029114293439114446741115774591731757617299304394687641432948881879578111759618832319538484183937965896419784148095586014923641809862494551710796162702566432100621148407700367234816142804777973057535123684979245896687484908951404282391922174415157785027339525692679857227353094523170516415856631592775090618343733121269537637627519821873622205422755530025174935806017503131129565729082152422272575383404791352719205643204299325362257794534613035588974920463436170240017202143218619256524753313206070391961532247817091024221862696391047211590229023604010112278903837170614318679728738827675518411795076155696818333374877199557492072166697512019690965184190568096727935487162446077363767533684270276393344939207641150940170831045739443178917835096413107680557655890897632245969096855149746681611969591701310464567913356510330006332847352826622244717093494056998267350738793374014661985408114075594355044687142760668510501010284828105952064931116334345074608725441590807995103964173357587753809090585265544701572908144949443243936338461904882242433223980152392426084839768386502666356752057222912649034809880101846155300633781097080264562217565318595032197725382370455916550056963435896637835612366372059439832646132052448857476941299412423688181174549042931722721587330342136274462159461120148503359767481705660799901907002099833063644437896640363364999910605553947495733150072392991246592786486715684113547632956676992130940456397456444302570264476113559328905097169123863656879896288143079473402542224736477083361406121208032967323640097111395506594644464378309160528610662060728101523113399762006675306572154917969521909922439355374226426714794748358250517056868231825574724078301502761631350724908560226310605497210482899122272132908203635033969256079598558763269808376403199052038788113702233922714032612672204564210210695496054779104829817888187184534982540558960322348673383371456861902922524168918855593370004626977403200039458327165476131486496248671462720676662488234848757972201620206819690307415165050997018679171034769862212202502381195118273389279465001585750641044448419526947256795587962221452303994614410560814030516875835139534975497901459425023365133948391800269218033321789392150371718425302793713492634890109110607181142988138261930423148280780103193556403638313972871357478184476764890779008687969302800771510976744723442931012765066697599316597221858210456201697692744379690754478559039336853458}
23121  32355124515420878480861052269812246789562334975901463768727029198142575798685: {92468,1316643,1963415,2147091,2356098,2561991,2794979,3253011,3347615,4017138,4081443,4204018,4219431,5460243,5841011,6005740,6111695,6148743,6672143,6699111,6801815,6944371,6974151,7114492,7206888,7334034,7362839,7386531,8107749,8162178,9024671,9843631,9920530,10017154,10163560,10247015,10814631,11097151,11404978,11434005,11773951,11904636,11923571,12196272,12296418,12454791,12996695,13242754,13442231,13546311,13588819,13720806,14062330,14310220,14500131,14868028,15596034,15628543,16074911,16540071,16590931,16664482,16819930,16874796,16977765,17109778,17172264,17625831,17993459,18109616,18422543,18741772,18779794,18839203,18918220,19041778,19300732,19318797,19395983,19845695,20068711,20183916,20211625,20373318,20408908,20528615,21008931,21023651,21240040,21278931,21742751,22159699,22326490,22537559,22627491,22701864,22902754,23545858,23650783,23701330,23814834,23839143,23895045,24253950,24271891,24316834,24442540,24634338,25048851,25424242,25488048,25539597,25784434,25854243,25870880,26441791,26704519,26759698,26773960,26791788,27060711,27074531,27202540,27328551,27338015,27604876,27863943,28178098,28441596,28532643,28666311,28674054,28873750,29016871,29104740,29331048,29373815,29820652,29868243,30051695,30120705,30350908,30535143,30966271,31045056,31263923,31734051,31767034,31941223,32128752,32426578,32482631,32532243,32537554,32643048,32718220,32805618,32997429,33636940,33712258,33860643,33962434,34216588,34538152,34620311,34648500,34674130,34925688,35102578,35248578,35410943,35925922,36062034,36144846,36658231,36723429,36958400,37039011,37603091,37633079,37675138,38228140,38491143,38728559,38855421,39018471,39246418,39261864,39291399,39496151,39504215,39677091,40024402,40133938,40364328,40992531,41172658,41460082,41578200,41608956,41649351,42146291,43358440,43547839,43635196,43649111,44169597,44204015,44237530,44315554,44350080,44705458,45409869,45496012,45577671,45598834,45801532,45873768,46058565,46482220,46715944,46775475,47297458,47306752,47400239,47405058,47550215,47618503,47663943,47686012,47787034,47803112,47900818,48539554,48778245,48818236,48834771,48880840,49012243,49105474,49129136,49170316,49471738,49893840,50037671,50146540,50392851,50866643,51160871,51559143,51607989,51657922,52030128,52087471,52555437,52788211,53044818,53085036,53220096,53261338,53363272,53404402,53514748,53730943,53759596,53778501,54215615,54272931,54831625,54990945,55270278,55303971,55687799,55778664,56076243,56130570,56351308,56353939,56871695,57059143,57060258,57157978,57345311,57361443,57368332,57694413,58026508,58525545,58533894,58633751,58657008,59370743,59376751,59872608,60033681,60127859,60175848,60373591,60645283,61290754,61602034,61840743,62132242,62152711,62427248,62750997,62987811,63113699,63130543,63864940,63876898,64022025,64288492,64514211,64605431,65058738,65118143,65430760,65775676,65797950,65989134,66294691,66923943,67141474,67356684,67418668,67553434,67649554,67697829,67918972,68246034,68290160,68429740,68683825,68820243,68916988,69109042,69139951,69330261,69342220,69577251,69906394,70017490,70184480,70230654,70975378,71843091,71845612,72094371,72350111,72595618,72687215,73310098,73411891,73539191,73609605,73677388,74380904,75411730,76449640,76608695,76637928,76715543,76758490,76761011,76826430,77166754,77570476,77722791,77823202,78036861,78486028,78516912,78825319,78957540,80041852,80073443,80333554,80517215,81200391,81476602,81948192,81954760,82115688,82420590,82536025,82561443,82912972,83210664,83211304,83643778,83672871,83678517,83796243,84020988,84221376,84240082,84789058,84823930,84905511,85151751,85212058,85483951,85515105,86005845,86217669,86258643,86355695,86409043,86449832,86955916,87088114,87224658,87228839,87558220,87915296,88124428,88282343,88331526,88833831,89200851,89843699,90056391,90104371,90134572,90186490,90231815,90319738,90405331,90494076,90592031,91216112,91739568,91930434,92110188,92191716,92199105,92380149,92440492,92901025,93083218,93452015,93489538,93611997,93612717,93972391,94749048,95363752,95379815,95528211,95565772,95629234,95748851,95793292,96551791,96620658,96642220,97223159,97232434,97256061,97453978,97513751,97773445,98009431,98119750,98345712,98452840,98585615,98904708,99043230,99136703,99149091,99307411,99358636,...,149111151640723688246404117515550641005444013813939730970012867556945077329037679631190036989731290134430004279519663268872127561863019063904580267651669322861141990323775954721962787613184276624299408127486986785301913305693560540782558639747967802166072796847614285341927918747637678549873777057731149404125164391223363019511827003720144852934676690086324219844600472553355963627372541059015361891269762608329821708583264210395884151343871354832841105337396247365347469906326403563709903046943791046202497910386842132471370904082144974381035949303337504851822531131334859527904095792529577126103021509444001472885894596623708357575465179384706423627919922771729289165471760395506478163274156019506163074754870712008596917672319755200203451426880527594130142954802904319566711864270602548626728234246375256358119160146455649115656502718066064781962219169504145492743752704855848666334183756671822701122712215559223651248570122626744573858727768583319587322643374722425044519331446430551740156923758947802008319254498931717826755782220627419489603913786142910563818815585394171751106345627155785965958658950431498036661092585775444570103699605812287563695914583412940206291767199498305108447840862368972939714619567135451476843679445279827566591265718467414712564043671440158671670111673661887597636425948956592031462149423322819367167639428248479307726275906948844629676222143379022385462714793741827566194244053849648150931722611550550852224214207166959586302685527468868845031227363427106423587883261622736677541009288539019785841029641784755774623784947389162635927515599681904306456441279732810433308134133295037762403709026254696694348593623228633408863075107187029078808464806448988043386691801919553383462380695154255360025803214827928884787129969809105587942298371725636536332794044586570817385343535406015168418355755755921478019593108241513277617692614233545227500062315799336238108250046268029536447776285852145091903230743669116045651300526405414590017408811461726410256246568609164768376752644619661520836483836346448368953645282724620022417954387551965696851870034765495009499271029239933367075640241085497401026108190061021992978112171113391532567030714141002765751515427242158928097396674501517611913088162386211992655946260036381630713635877898317052359362217424164865904507692857323363649835970228588639127259652579753999535128085834368973552214820152769232950950671645620396843326347977892548296588073555683874825085445153844956753418549558089159748969198078673286215411949118635532271761823564397584082380995513204411693239191680222755039651222558491199852860503149749595466656844960545047499865908330921243599725108589486869889179730073526170321449435015488196410684596184666453855396714170338993357645753685795485319844432214619210103813337104715625042109181812049450985460145667093259891966696567463740792915993091092152284670099643010012959858232376954282864883659033061339640072192122537375775585302347738362086117452254142447026087362840339465908245815724348683408199362305452550953884119397838144904712564604798578058182170553350884071048919008306846315316043244082168657244726832280776802473810838440483523010075057185292854383786253378283390055006940466104800059187490748214197229744373007194081014993732352273136958302430310229535461122747576495528018756552154793318303753571792677410083919197502378625961566672629290420885193381943332178455991921615841221045775313752709302463246852189137535047700922587700403827049982684088225557577637954190570238952335163665910771714482207392895634722421170154790334605457470959307036217276715147336168513031953954201157266465117085164396519147600046398974895832787315684302546539116569536131717838559005280187}
23122  32471003639552179222759869084498445990703064951863469478446939150397189039755: {115585,138702,531277,946321,1360717,1755524,1912237,2325121,2813198,2862788,3089102,3141464,3415988,3422977,3534147,3640478,4106797,4337348,4741502,5016398,5356184,5441924,5625908,5740621,5840222,6011917,6025707,6147457,6306027,7094221,7210382,7280324,7507175,8037457,8198324,8709037,8893115,8932148,9008610,9111121,9122558,9298868,9609184,9778712,9779821,9848708,10046797,10671738,10810332,10845997,10882904,11001051,11377357,11510017,12243267,12704450,14277182,14410321,14419508,14672257,14880795,15025731,15245340,15355742,15845914,15872848,16261696,16395224,16606388,17107467,17237678,17275777,17856954,17887775,18061748,18294408,18444627,18585035,18695437,19112558,19209517,19333508,19864131,20581209,20617297,20794712,21093495,21465330,22053428,22302042,22396417,22499728,22575758,22637020,22775821,22896352,23154577,23394051,23427215,23501108,23647775,24035821,24125915,24412417,24694862,24996723,25229895,25312194,25511135,25664667,25750958,25758396,26014622,26161297,26550050,26906497,26911888,27164424,27525517,27856238,28011908,28019437,28112658,28169691,28371908,28377330,28389121,28562667,28758157,28951098,30169988,30213662,30220883,30269152,30275874,30553175,30559977,30593617,30613362,31201837,31753112,31785524,31860060,32338600,32654221,32845784,32895277,33079118,33398468,33467450,33489735,33496657,33598238,33616717,33984064,34003175,34052796,34354131,34455121,34472324,34506095,34813357,35318787,35551995,35722251,35722384,36080948,36315851,36380925,36438068,36475251,36663810,36831121,36951507,36958478,37151924,37275815,37922128,37938635,38043524,38136363,38221748,38232072,38676651,38806320,39108064,39824324,40139547,40160940,40187682,40341121,40713524,40803810,40876451,40897775,40919821,41393408,41407314,41726977,41827723,41841997,42046175,42267147,42312068,42662394,42770735,42838336,42843902,42987994,43011081,43172690,43310625,43376324,43444717,43524064,43657110,43740824,43859678,43996572,44113262,44127277,44354221,44619998,44730978,44920321,45147524,45526362,46198000,46567584,46692863,46831597,46998104,47145038,47389777,47650551,47785175,48082712,48151022,48193128,48500737,48639867,48806331,48832621,48964572,49077330,49154702,49208427,49385348,49405262,49655678,50455410,50482321,50568387,50810317,50943651,51321524,51324882,51807228,51972750,52011195,52024628,52349152,52388532,52653867,52872867,52902788,52980397,53063219,53819104,53888883,54093051,54198050,54217269,54543995,54623842,54633758,54656708,55334221,55437600,55478608,55532468,55652497,55869278,56075857,56109911,56512707,56708737,56855102,56870015,57251915,57342210,57592958,57966721,58102775,58394930,58695757,58869627,58892796,59133440,59317837,59607515,59753890,60036603,60043118,60200907,60348877,60546492,60770228,61022795,61101050,61165024,61411420,61457594,61462895,61758987,62190123,62367300,62413434,62683175,62721662,63206744,63206798,63551924,63691358,63800557,63900817,65037660,65083291,65113028,65452794,65890897,66105518,66356295,66383917,66473331,66525120,66580621,66586622,66704090,66893435,67058187,67190468,67199495,67266817,68046721,68244018,68398251,68702298,68744462,68745524,68810652,69304237,69373504,69699758,69723330,69938222,69976321,70073916,70439135,70726424,70780048,70946187,70960128,71107587,71215117,71529018,71680551,71704668,71710415,71851227,71877121,72159757,72363908,72533135,72809331,72809891,73227354,73321260,73470157,73658211,73693704,73734062,73738628,73749121,73755474,73934737,74207607,74371552,74397517,74441678,74768324,74840760,75134221,75219810,75643603,76080344,76481924,76503121,76791038,76925884,77226577,77486883,77855821,78034060,78045192,78209344,79567227,79591262,79627554,79634221,79814098,79830144,79831175,79892007,80044908,80106603,80234464,80249857,80272122,80360615,80639394,80687437,80956139,81643777,81788450,81908942,81989377,82219595,82247821,82454324,82505617,82601438,82677121,82905417,83104621,83443283,83667996,83983748,84195855,84273335,84441758,84526962,84898715,84964237,85362700,85537175,85590387,85736967,86018948,86052498,86146235,86294797,86501102,86677775,86744984,86871121,87039762,87280621,87730600,87800841,87850897,87867518,87985512,88900621,89141137,89145259,89231924,89681342,89699821,89807015,89808912,90229867,90254977,90263772,90584798,90649357,90994712,91666321,91760324,91936131,92096735,92403051,92440348,92769668,92833358,92976130,93198363,93587821,93640872,94868737,94955234,95562050,95612497,95790788,95797410,95815347,96125828,96179198,96202321,96432738,96963095,97187482,97508462,97588107,98107535,98146140,98391758,98586637,98612222,98663514,98696925,98728621,98983701,99052718,99228371,...,198814868854298250995205490020734188007258685085252974626683823409260103105383572841586715986308386845906672372692884358496170082484025418539440356868892430481522653765034606295950383484245702165732544169982649047069217740924747387710078186330623736221430395796819047122570558330183571399831702743641532538833552521631150692682436004960193137246235586781765626459467296737807951503163388078687149188359683477773095611444352280527845535125161806443788140449861663153796626541768538084946537395925054728269997213849122843295161205442859965841381265737783339802430041508446479370538794390039436168137362012592001963847859462164944476767286905846275231503893230362305718887295680527341970884365541359341550766339827616011462556896426340266937935235840703458840190606403872426088949152360803398168970978995167008477492213528607532154208670290754753042616292226005527323658336939807798221778911675562430268163616287412298201664760163502326098478303691444426116430191166296566726025775261907402320209231678597069344425672665242290435674376294169892652805218381523880751758420780525562334808460836207714621278211933908664048881456781033926093471599474416383418261219444550586941722356265997740144597121149825297252952826089513935302458239260373103422121687624623219616752058228586878228893482231549183463515234598608789375282865897763759156223519237664639076968367875931792839568296191172029847283619724989103421592325405132864201242296815400734469632285609555946115070247369958491793374969817902808564783844348830315570054679051385359714454706189046341032831713263185550181236687466242539075275255039643747244410845511060050349871612035006262259131458164304844545150766809582705438411286408598650724515589069226071177949840926872340480034404286437238513049506626412140783923064495634182048443725392782094423180458047208020224557807674341228637359457477655351036823590152311393636666749754399114984144333395024039381930368381136193455870974324892154727535067368540552786689878415282301880341662091478886357835670192826215361115311781795264491938193710299493363223939183402620929135826713020660012665694705653244489434186988113996534701477586748029323970816228151188710089374285521337021002020569656211904129862232668690149217450883181615990207928346715175507618181170531089403145816289898886487872676923809764484866447960304784852169679536773005332713504114445825298069619760203692310601267562194160529124435130637190064395450764740911833100113926871793275671224732744118879665292264104897714953882598824847376362349098085863445443174660684272548924318922240297006719534963411321599803814004199666127288875793280726729999821211107894991466300144785982493185572973431368227095265913353984261880912794912888605140528952227118657810194338247727313759792576286158946805084449472954166722812242416065934647280194222791013189288928756618321057221324121456203046226799524013350613144309835939043819844878710748452853429589496716501034113736463651149448156603005523262701449817120452621210994420965798244544265816407270067938512159197117526539616752806398104077576227404467845428065225344409128420421390992109558209659635776374369069965081117920644697346766742913723805845048337837711186740009253954806400078916654330952262972992497342925441353324976469697515944403240413639380614830330101994037358342069539724424405004762390236546778558930003171501282088896839053894513591175924442904607989228821121628061033751670279069950995802918850046730267896783600538436066643578784300743436850605587426985269780218221214362285976276523860846296561560206387112807276627945742714956368953529781558017375938605601543021953489446885862025530133395198633194443716420912403395385488759381508957118078673706916}
23123  32587295053282246834377403245554816987985032462770456790040299600486287673896: {184936,208053,2194405,2633286,2748781,3303157,3578485,3926830,4219797,4269985,4294182,4633653,4686661,4712196,5123982,5421685,5460717,5589958,6506022,6695230,6802405,6903013,7032385,7112253,7457101,7524597,7870621,8034276,8162886,8408036,8438862,8556373,8701537,8760333,9100405,9522541,10086397,10247905,10405021,10815573,10920486,11165185,11623585,11682022,12011480,12223390,12297486,12310885,13344286,13398222,13443397,13512915,13603630,13683837,13888742,13948302,14091493,14228984,14345821,14413776,14668068,14725678,14773062,14961397,15388357,15886273,16007607,16215498,16324356,16859053,17966077,17995021,18024385,18049342,18195373,18424141,18500317,19056675,19626613,19687262,19841060,20034308,20327120,20494030,20589901,20733637,20757985,20770753,21025477,21264997,21415773,21629262,21744637,22194302,22577185,22803373,22809956,22868010,23033613,23547902,23768871,23809272,23847142,24166885,24392544,24592836,24740161,24846133,24909582,24920293,25565221,25856517,25993390,26241421,26485508,26635297,26785431,26884462,27092622,27177638,27410017,27441612,27566785,27580597,27783973,28124660,28296275,28620440,28668837,28740061,29000262,29376385,29736056,30925261,31192068,31257086,31266637,31997173,32149822,32197995,32323717,33080142,33181862,33328964,33453063,33639860,33749592,33863637,33955530,34219556,34344528,34824721,35014885,35125717,35251662,35414017,35464885,35986918,36219232,36304117,36845086,37042293,37483544,37559588,37606357,37636357,37678406,37712485,37836440,37853077,37968291,38083556,38138221,38273221,38601464,38626437,38637594,38662333,38731921,38791966,39021933,39691390,39731905,39825075,40064821,40137422,40278253,40367832,40423250,40617757,40746636,40817816,40914913,41057230,41123341,41748085,41784357,41829157,42017862,42047302,42072373,42168987,42480080,42557862,42565995,43090405,43426647,43485502,43939453,44142757,44169553,44319398,44475457,44652980,44741461,45075118,45101185,45254982,45320493,45403728,45413811,45547585,45805508,45920043,46439905,47091716,47103517,47301566,47402660,47554405,47629668,47678286,47777185,47790090,48157021,48507900,48543782,48633668,48735457,48885080,49268676,49618677,49780405,49809253,50042017,50097702,50201175,50267941,50397357,50669221,50848484,50871061,50891905,50976096,51079194,51319693,51568868,51585313,51708486,51741760,52478533,52883582,52890085,53153221,53409038,53519396,53547920,53583576,54121422,54149062,54220405,54405080,54657102,54676030,54995715,55209752,55305901,55387477,55437717,55727886,56356196,56434405,56585773,56883192,57065286,57179797,57332622,57348108,57575521,57747500,58033742,58209480,58404277,58662096,58747630,59641304,59736486,60103390,60241410,60281523,60631021,60701816,61070286,61205715,61731685,61885621,61932542,62090112,62110971,62527846,63119221,63465277,63468102,63534068,63575053,63826141,63882446,63993591,64151905,64257504,64265853,64481991,64654753,64759035,64853156,64965262,65030785,65064486,65075108,65286096,65436440,65485665,65611236,65789517,65994858,66128485,66169893,66570301,66929997,66985021,67096467,67104133,67273880,67346497,67424516,67721286,67924868,68289543,68320885,68433176,69076304,69240622,69294433,69297000,69348260,69415585,69851376,70205156,70497156,70642213,70717557,70821886,71060197,71851844,71955397,72124068,72226533,72289692,72356413,72779101,73316462,73406317,73446858,73615995,73732053,73916800,74078022,74107893,74483517,74506717,74588917,75206182,75266158,75350276,75683115,75901861,75962785,76351873,76456280,76764275,76982286,76987323,77457118,77494381,77710842,77959125,78036942,78492836,78523728,78582798,78923293,78992302,79008430,79354182,79439905,79620373,80048804,80267876,80728656,81297075,81391285,81683653,81935763,81950637,81985062,82345316,82787797,82847173,82920164,83156400,83217912,83298702,83803917,83901457,83988085,84292582,85282653,85740901,85931905,85990813,86013315,86389437,86716880,86909953,87095678,87236437,87270392,87298222,87592395,88339194,88408030,88475060,88631108,88700160,89060161,89410916,89630835,89695693,90064677,90454885,90819738,90992024,91155342,91197668,91603064,91651575,91747536,92117130,92173285,92186391,92964440,93244621,93298117,93431888,93460405,93550950,93620151,94082493,94365757,94594916,94613504,94800478,94810116,94810197,95100430,95237006,95327886,95372024,95537037,95574068,95602405,95606224,95801636,96050113,96157355,96317677,97079108,97542575,97556490,97636472,97669542,97761680,98024486,98179191,98210948,98258272,98340632,98668501,98943476,99158277,99787680,99879933,...,298222303281447376492808235031101282010888027627879461940025735113890154658075359262380073979462580268860008559039326537744255123726038127809160535303338645722283980647551909443925575226368553248598816254973973570603826611387121081565117279495935604332145593695228570683855837495275357099747554115462298808250328782446726039023654007440289705869353380172648439689200945106711927254745082118030723782539525216659643417166528420791768302687742709665682210674792494730694939812652807127419806093887582092404995820773684264942741808164289948762071898606675009703645062262669719055808191585059154252206043018888002945771789193247416715150930358769412847255839845543458578330943520791012956326548312039012326149509741424017193835344639510400406902853761055188260285909605808639133423728541205097253456468492750512716238320292911298231313005436132129563924438339008290985487505409711697332668367513343645402245424431118447302497140245253489147717455537166639174645286749444850089038662892861103480313847517895604016638508997863435653511564441254838979207827572285821127637631170788343502212691254311571931917317900862996073322185171550889140207399211624575127391829166825880412583534398996610216895681724737945879429239134270902953687358890559655133182531436934829425128087342880317343340223347323775195272851897913184062924298846645638734335278856496958615452551813897689259352444286758044770925429587483655132388488107699296301863445223101101704448428414333919172605371054937737690062454726854212847175766523245473355082018577078039571682059283569511549247569894778325271855031199363808612912882559465620866616268266590075524807418052509393388697187246457266817726150214374058157616929612897976086773383603839106766924761390308510720051606429655857769574259939618211175884596743451273072665588089173141634770687070812030336836711511511842956039186216483026555235385228467090455000124631598672476216500092536059072895552571704290183806461487338232091302601052810829180034817622923452820512493137218329536753505289239323041672967672692896737907290565449240044835908775103931393703740069530990018998542058479866734151280482170994802052216380122043985956224342226783065134061428282005531503030854484317856194793349003035223826176324772423985311892520072763261427271755796634104718724434848329731809015385714646727299671940457177278254519305159507999070256171668737947104429640305538465901901343291240793686652695955785096593176147111367749650170890307689913506837099116178319497938396157346572430823898237271064543523647128795168164761991026408823386478383360445510079302445116982399705721006299499190933313689921090094999731816661842487199450217178973739778359460147052340642898870030976392821369192369332907710793428340677986715291507371590970639688864429238420207626674209431250084218363624098901970920291334186519783933393134927481585831986182184304569340199286020025919716464753908565729767318066122679280144384245074751551170604695476724172234904508284894052174725680678931816491631448697366816398724610905101907768238795676289809425129209597156116364341106701768142097838016613692630632086488164337314489453664561553604947621676880967046020150114370585708767572506756566780110013880932209600118374981496428394459488746014388162029987464704546273916604860620459070922245495152991056037513104309586636607507143585354820167838395004757251923133345258580841770386763886664356911983843231682442091550627505418604926493704378275070095401845175400807654099965368176451115155275908381140477904670327331821543428964414785791269444842340309580669210914941918614072434553430294672337026063907908402314532930234170328793038295200092797949791665574631368605093078233139072263435677118010560374}
23124  32704000213854106535454537765972303433199665038054630719350882938834156912270: {161819,231170,277404,854219,992483,1062554,1222763,1406843,1544819,1636763,1892642,1912403,2233619,2371163,2462819,2600243,2721434,3012083,3468923,3511048,3742643,3824474,3949929,4152683,4650242,5106923,5626396,5725576,5890245,6012443,6178204,6193163,6282928,6441273,6831976,6845954,7004819,7068294,7139843,7229819,7280956,7679219,7685973,7903619,8213594,8384937,8486123,8674696,8709803,9022619,9483004,9759033,9825203,10032796,10042845,10510045,10712368,10883848,11024219,11251816,11378363,11481242,11680444,12023834,12051414,12244329,12294914,12450361,12569819,12612054,12658293,13360883,13799243,14188442,14411603,14420764,14455283,14560648,15014350,15196619,15327203,15501203,16074914,16282619,16380729,16396648,16412603,16629083,16931819,17418074,17523033,17786230,17864296,18017220,18222242,18245116,18310763,18335085,18446229,18597736,18997163,19218368,19510619,19557424,19559642,19697416,20016429,20093594,20097333,20405445,20833113,20922453,21128963,21343476,21425819,21510563,21620664,21637619,21691994,21765808,21933803,22002102,22088517,22159593,22398443,22754714,22777883,22820003,23020034,23198723,23408843,23954219,24079883,24163619,24323247,24486534,24801325,25042885,25408900,25540643,25914683,26019049,26039219,26578043,26950283,27074013,28022003,28432763,28512445,28514819,28554364,28801763,28820642,28839016,29344514,29530893,29741819,29761590,29864123,30051462,30490680,30711484,30741045,30880523,31447523,31691828,31745696,32443893,32523392,32657243,32790448,32798101,32898323,33106885,33212776,33291453,33776281,33779819,34214934,34302015,34458323,34475356,34551554,34577819,34856363,35155825,35174219,35321853,35570819,35713908,35715589,35770713,35775550,36123496,36588816,36873923,36889254,37070603,37170070,37227803,37345619,37364373,37390874,37933619,38051003,38225116,38402723,38419034,38597843,38667016,38990085,39298619,39728262,39880619,40326693,40576643,40638933,40766457,40923683,40962203,41162418,41234594,41589424,41661205,42049825,42186990,42305363,42572819,42774445,42918733,42930660,43448843,43500393,44106856,44358443,44396243,44604084,44792834,44924603,44962283,44999456,45151516,45274040,45301043,45551642,45792704,46088963,46309154,46425563,46724219,46788102,46854430,46885629,46949485,46985123,47002216,47282819,47295550,47604445,48071642,48224733,48251830,48308533,48824834,48837323,49205363,49315619,49389083,49389724,49609283,49620213,49772793,49993446,50048819,50459790,50624388,50933295,51022270,51329334,51501916,51516792,52029244,52120883,52186141,52322594,52877493,53100100,53114089,53201003,53666819,53812994,53823776,53980377,54202619,54328848,54843203,55020683,55051034,55267629,55375043,55693283,55712476,55816225,56023816,56038874,56225316,56327819,56339382,56503619,56517609,56743816,56749403,56754660,56778242,56854619,56924723,57125334,57256885,57516314,57554219,57902196,57956391,58187949,58864645,59253325,59537085,59737043,59879029,60206133,60339976,60389123,60427324,60441766,60538304,60551748,60560243,60634875,60765323,60792085,61106350,61119954,61187234,61226724,61412843,61585845,62403674,62711077,63026793,63070953,63136643,63506224,63539219,63560605,63571048,63720120,63836793,64461085,64677200,64706819,64939163,65228253,65308442,65691568,65790554,65798723,65930483,66158236,66193619,66311713,66423443,66479097,66587363,66620123,66796936,66899245,66934900,66979470,66993314,67175819,67196476,67233434,67612677,67882473,67968128,68006350,68086043,68105592,68708262,68910242,68944648,69012190,69118619,69343403,69439619,69626714,69823763,69983483,70015403,70174883,70445245,70556819,70637574,70652123,70952349,71103990,71444502,71444768,71506619,71517429,71685135,71727203,71821619,71884523,72161896,72184375,72386603,72631702,72761850,72815673,72876136,72950502,73327620,73662242,73787723,73903014,73916956,74220323,74303848,74551630,75142043,75146553,75233819,75630683,75844256,75877270,75995819,76087048,76272726,76361593,76443496,76464144,76541363,76618791,77264723,77353302,77562729,77594723,77612640,77893883,78162443,78216128,79141619,79325373,79417585,79618021,79642643,79648648,80113557,80152681,80279094,80321880,80375364,80682242,81066445,81182133,81223593,81334619,81343885,81427048,81479219,81607620,81752902,81795550,81839642,81985653,82014045,82714523,82786816,82814628,83284043,83450521,83453954,83591829,83655446,83683994,83906819,84092350,84280645,84534294,84624136,84906085,84973403,85252163,85324788,85431913,85502363,85541470,85597929,85676672,85687804,85807283,85975988,85998933,86022162,86048053,86083643,86221523,86345380,86469203,86539321,86621250,86685325,86752648,86889434,86907923,87048128,87050613,87314220,87481648,87719356,87725003,87756445,87993144,88121445,88130843,88184819,88226524,88254554,88708442,88910363,89239996,89461956,89604729,89736203,89814805,89840642,89868683,90155085,90295048,90362115,90528083,90659363,91052724,91605429,91624619,91676483,92396000,92527619,92604563,92783819,92898813,93135168,93385726,93623603,93650809,93663194,93791769,93977243,93996208,94079293,94128323,94187845,94290076,94429619,94779554,94879403,95202153,95301102,95549219,95570350,95675437,95823669,95918819,96165424,96213203,96237683,96302044,96386256,96944123,97001474,97258619,97279734,97447893,97596729,97612662,97665242,97811723,97929144,98116045,98154660,98309404,98416854,98614789,98621603,98692619,98763563,98770696,98810524,98810819,98992287,99234683,99311356,99749219,99795803,...,447333454922171064739212352546651923016332041441819192910038602670835231987113038893570110969193870403290012838558989806616382685589057191713740802955007968583425970971327864165888362839552829872898224382460960355905739917080681622347675919243903406498218390542842856025783756242913035649621331173193448212375493173670089058535481011160434558804030070258972659533801417660067890882117623177046085673809287824989465125749792631187652454031614064498523316012188742096042409718979210691129709140831373138607493731160526397414112712246434923143107847910012514555467593394004578583712287377588731378309064528332004418657683789871125072726395538154119270883759768315187867496415281186519434489822468058518489224264612136025790753016959265600610354280641582782390428864408712958700135592811807645880184702739125769074357480439366947346969508154198194345886657508512436478231258114567545999002551270015468103368136646677670953745710367880233721576183305749958761967930124167275133557994339291655220470771276843406024957763496795153480267346661882258468811741358428731691456446756182515253319036881467357897875976851294494109983277757326333710311098817436862691087743750238820618875301598494915325343522587106918819143858701406354430531038335839482699773797155402244137692131014320476015010335020985662792909277846869776094386448269968458101502918284745437923178827720846533889028666430137067156388144381225482698582732161548944452795167834651652556672642621500878758908056582406606535093682090281319270763649784868210032623027865617059357523088925354267323871354842167487907782546799045712919369323839198431299924402399885113287211127078764090083045780869685900226589225321561087236425394419346964130160075405758660150387142085462766080077409644483786654361389909427316763826895115176909608998382133759712452156030606218045505255067267267764434058779324724539832853077842700635682500186947398008714324750138804088609343328857556435275709692231007348136953901579216243770052226434385179230768739705827494305130257933858984562509451509039345106860935848173860067253863162655897090555610104296485028497813087719800101226920723256492203078324570183065978934336513340174597701092142423008297254546281726476784292190023504552835739264487158635977967838780109144892140907633694951157078086652272494597713523078571970090949507910685765917381778957739261998605384257503106920656644460458307698852852014936861190529979043933677644889764220667051624475256335461534870260255648674267479246907594236019858646235847355906596815285470693192752247142986539613235079717575040668265118953667675473599558581509449248786399970534881635142499597724992763730799175325768460609667539190220578510964348305046464589232053788553999361566190142511016980072937261057386455959533296643857630311440011314146875126327545436148352956380437001279779675900089702391222378747979273276456854010298929030038879574697130862848594650977099184018920216576367612127326755907043215086258352356762427341078262088521018397724737447173046050224598086916357652861652358193514434714137693814395734174546511660052652213146757024920538945948129732246505971734180496842330407421432515321450569030225171555878563151358760134850170165020821398314400177562472244642591689233119021582243044981197056819410874907290930688606383368242729486584056269656464379954911260715378032230251757592507135877884700017887871262655580145829996535367975764847523663137325941258127907389740556567412605143102767763101211481149948052264676672732913862571710716857005490997732315143446622178686904167263510464371003816372412877921108651830145442008505539095861862603471799395351255493189557442800139196924687498361947052907639617349708608395153515677015840561}
23125  32821120583627501910312943226283549421547521730184609887824966328030036819475: {346755,369872,416106,1593831,2838963,3072167,3903731,4082151,4388810,5009879,5266572,5497562,5736711,5977979,6606314,6975363,7032995,7156970,7590359,7722755,7853660,8334407,8439594,8539970,8588364,9101195,9267306,9301643,9373322,9424392,9523367,9845339,10247964,10268931,10602441,10843370,10912583,10921434,11179916,11853755,12296843,12320391,12540995,12740567,13012044,13390460,13604810,13806026,14064770,14224506,14347067,14511659,14600555,14914202,15049194,15468563,15631259,15741242,15887651,16068552,16273019,16325772,16449623,16816072,16877724,17112746,17221863,17235239,17403074,17520666,17681651,18025955,18035751,18077121,18200810,18442371,18501923,18842471,18918081,19045082,20172794,20495810,20591687,20810042,21266843,21282663,21631146,21840972,21864011,22163543,22330370,22521525,22805351,22806395,23214371,23247170,23364044,24022960,24112371,24446780,24559139,24594972,24621770,24742307,24848291,25234139,26071463,26127111,26243699,26446379,26679345,26688572,26796444,26886794,27025830,27207260,27333363,27367674,27777484,27896604,28182986,28457968,28691642,28747091,28827552,29061179,29300363,29328647,29336136,29339463,29451356,29546124,29922794,30140391,30213443,30776714,30927947,31608059,31761125,31772546,32015214,32326523,32430996,32537991,32595251,32648712,33003153,33718106,33833639,34132071,34530051,34563527,35692955,35932154,35990042,36048770,36098684,36390746,36729801,36848282,37000634,37856363,37945139,38113350,38141543,38389355,38593499,38665691,38921747,39253226,39374524,39614785,39682120,40068299,40068616,40621283,40654240,40988060,41126939,41179802,41467274,41512211,41515970,41541506,42050954,42529994,42599111,42831546,43094195,43230963,43258524,43489274,44016771,44388604,44479331,44642385,44745347,45016871,45072443,45077193,45154370,45606746,45619912,45736020,46067226,47095804,47537742,47618544,47694284,47781395,47827079,48333770,48661283,48785088,49020839,49185672,49365971,49480322,49650839,49692266,49819164,49840586,50272307,51130442,51322401,51713034,51827331,51971939,51986780,52096523,52482842,52483091,52731947,52797479,52971016,53270594,53570862,53663325,53768924,54185244,54355276,54820034,54883224,55133570,55161194,55333881,55567946,55624667,55755105,56086311,56249320,56439395,56592550,56912843,57069059,57240880,57337674,57480122,57628551,57643451,58000524,58447319,58752770,59207303,59472112,59592393,60326567,60384083,60465659,61737155,61743627,61850522,61851891,62384136,62514172,62533274,62817443,63141659,63227699,63280485,63766619,63994346,64299644,64377395,64395990,64647434,65015867,65036555,65989739,66160284,66363724,66375125,66576167,66657928,66888059,66906126,67189251,67279720,67499184,67727274,67911060,68327463,68439112,68680091,68689056,68871923,69463731,69640595,69649442,69692567,70029770,70182153,70251434,70252583,70281645,70503324,70828034,70929770,70943325,71054471,71248667,71654843,71973836,71991083,72107463,72377745,72438464,72461639,72608234,73237251,73412711,73690172,74046119,74084586,74394563,74595443,74967088,74990169,75119176,75212714,75272714,75356812,75424970,75534155,75672880,75689685,75706154,75908567,75936582,76167112,76276442,76533405,76546442,76994001,77019239,77202928,77252874,77275188,77324666,77463842,77583932,78043866,78141191,78483891,79008167,79382780,79463810,79650150,80129642,80274844,80556506,80719491,80735664,80846500,81235514,81493272,81635632,81829826,82114460,82246682,82576551,82697795,82952903,83496170,83568714,83658314,83668625,83995595,84035724,84058311,84094604,84144746,84337974,84434339,84509073,84960160,85115724,85131990,85167363,85594163,85688001,86180810,86274471,86424359,86611367,86853294,86971004,87878906,87994211,88285514,88339106,88638796,88950914,89305960,89482922,89812667,90150236,90202370,90509964,90640986,90662649,90807456,90827622,91043099,91095170,91611016,91659525,91679931,91780851,91840086,92396195,92579879,92879810,93252743,93306323,93605511,94183432,94207034,94603132,94805320,95108810,95259336,95356572,95420123,95554370,95580180,95649239,96271691,96314042,97015800,97087564,97181819,97267336,97470914,97770160,97962663,98537352,98685831,99030851,99205139,99237354,99537827,99560810,99582683,99618506,...,596444606562894752985616470062202564021776055255758923880051470227780309316150718524760147958925160537720017118078653075488510247452076255618321070606677291444567961295103818887851150452737106497197632509947947141207653222774242163130234558991871208664291187390457141367711674990550714199495108230924597616500657564893452078047308014880579411738706760345296879378401890213423854509490164236061447565079050433319286834333056841583536605375485419331364421349584989461389879625305614254839612187775164184809991641547368529885483616328579897524143797213350019407290124525339438111616383170118308504412086037776005891543578386494833430301860717538825694511679691086917156661887041582025912653096624078024652299019482848034387670689279020800813805707522110376520571819211617278266847457082410194506912936985501025432476640585822596462626010872264259127848876678016581970975010819423394665336735026687290804490848862236894604994280490506978295434911074333278349290573498889700178077325785722206960627695035791208033277017995726871307023128882509677958415655144571642255275262341576687004425382508623143863834635801725992146644370343101778280414798423249150254783658333651760825167068797993220433791363449475891758858478268541805907374717781119310266365062873869658850256174685760634686680446694647550390545703795826368125848597693291277468670557712993917230905103627795378518704888573516089541850859174967310264776976215398592603726890446202203408896856828667838345210742109875475380124909453708425694351533046490946710164037154156079143364118567139023098495139789556650543710062398727617225825765118931241733232536533180151049614836105018786777394374492914533635452300428748116315233859225795952173546767207678213533849522780617021440103212859311715539148519879236422351769193486902546145331176178346283269541374141624060673673423023023685912078372432966053110470770456934180910000249263197344952433000185072118145791105143408580367612922974676464182605202105621658360069635245846905641024986274436659073507010578478646083345935345385793475814581130898480089671817550207862787407480139061980037997084116959733468302560964341989604104432760244087971912448684453566130268122856564011063006061708968635712389586698006070447652352649544847970623785040145526522854543511593268209437448869696659463618030771429293454599343880914354556509038610319015998140512343337475894208859280611076931803802686582481587373305391911570193186352294222735499300341780615379827013674198232356638995876792314693144861647796474542129087047294257590336329523982052817646772956766720891020158604890233964799411442012598998381866627379842180189999463633323684974398900434357947479556718920294104681285797740061952785642738384738665815421586856681355973430583014743181941279377728858476840415253348418862500168436727248197803941840582668373039567866786269854963171663972364368609138680398572040051839432929507817131459534636132245358560288768490149503102341209390953448344469809016569788104349451361357863632983262897394733632797449221810203815536477591352579618850258419194312232728682213403536284195676033227385261264172976328674628978907329123107209895243353761934092040300228741171417535145013513133560220027761864419200236749962992856788918977492028776324059974929409092547833209721240918141844490990305982112075026208619173273215014287170709640335676790009514503846266690517161683540773527773328713823967686463364884183101255010837209852987408756550140190803690350801615308199930736352902230310551816762280955809340654663643086857928829571582538889684680619161338421829883837228144869106860589344674052127815816804629065860468340657586076590400185595899583331149262737210186156466278144526871354236021120748}
23126  32938657630096742455679662665403564135670420567895721152060682149631063287894: {323638,462340,554808,624159,1544953,1682869,1708438,1984966,2125108,2233813,2445526,2508853,2813686,3089638,3273526,3742969,3785284,3824806,4467238,4742326,4925638,5200486,5442868,6024166,6583215,6937846,7022096,7485286,7648948,7899858,7949173,8246343,8305366,9291253,9300484,9817075,9909471,10213846,10359733,10735455,11025193,11252792,11451152,11780490,12024886,12356408,12386326,12565856,12659391,12809955,12882546,13010773,13663952,13691908,13900959,13974895,14009638,14059983,14136588,14279686,14456569,14459638,14561912,14714063,15110869,15358438,15371946,15807238,16265055,16382151,16427188,16738075,16769874,16933333,16972246,17349392,17419606,18045238,18355369,18966008,18998869,19518066,19650406,20065592,20085690,20407215,20709039,20791093,21020090,21097155,21336759,21424736,21427753,21767696,22048438,22062613,22371303,22503632,22573791,22756726,22822069,22962484,23360888,23452969,23611863,23956393,24047668,24102828,24488658,24589828,24709369,24834613,24900722,25139638,25224108,25316586,25669119,26104611,26280999,26721766,27301215,27598486,28376884,28567623,28823206,28841528,28910566,28927273,29121296,29205055,30028700,30259191,30393238,30396073,30558475,30654406,30743715,31002406,31215063,31490869,32149828,32446719,32565238,32761458,32793296,32825206,33258166,33360715,33422773,33495555,33782953,33863638,34009075,34381813,34620853,34721855,34836148,34870755,34978873,35046066,35060039,35572460,35728592,36034440,36286069,36444484,36490232,36621526,36670170,36814195,36892458,36932655,37195472,37349113,37994326,38436736,39021238,39114848,39119284,39394832,39917423,39923113,40032858,40187188,40194666,40330191,40538745,40810890,40966069,41051511,41666226,41844906,42003193,42257926,42274479,42686952,42851638,43021126,43037463,43241328,43275238,43383988,43531616,43867606,44004204,44177034,44319186,44400469,44796886,44884191,44966569,45123355,45509428,45555766,45640006,45643513,46040068,46165071,46349639,46397446,46765993,46817686,47324533,47489959,47658819,47908438,48022821,48159766,48327238,48646494,48973068,49218155,49320373,49430569,49602650,50085770,50577159,50722139,50817800,51081286,51235075,51829366,52038098,52078438,53156086,53242069,53672053,53898231,53900566,53985063,54073155,54148026,54207913,54586119,54848569,55272423,55485755,55486633,55500951,56044006,56333353,56865526,56965369,57024890,57029638,57108728,57170025,57603526,57641284,57678032,57908533,58325687,58689028,58869755,58879839,59061786,59483638,59523180,59570869,59617855,59728246,59884223,60102924,60703033,60981360,61010293,61422968,61482090,61724713,61761046,61769703,62200911,62273955,62312259,62895046,63076431,63142969,63383656,63491392,63794991,64234423,64247319,64746553,64887786,64983475,65046784,65233911,65314486,65541433,65580896,65596202,65640469,65729279,65796646,66213770,66425552,66582906,66626869,66646223,67211155,67552562,67559638,67731555,67944095,68410119,68429868,68604030,68916646,68950712,68964853,69100839,69103108,69155638,69157813,69712726,70022569,70311650,70348438,70643706,70881493,70976569,71141638,71306613,71427816,71431178,71541426,71551100,71829013,72017653,72246992,72487993,72500655,73177632,73330069,73374499,73747846,73778508,74113091,74141206,74220483,74258869,74340140,74455606,74538399,74628373,74691238,74728746,74760879,74781748,74812693,75088633,75272233,75638569,75867238,76102006,76450232,76695663,76805446,76838068,77195686,77334032,77362933,77569551,77980170,78142715,78597238,78724263,78794869,79456524,79761238,79905891,80159639,80356293,80374555,80653386,81153286,81277866,81516793,81532914,81847366,81924406,82230051,82324836,82410503,82469188,82700355,82741791,82954655,83065513,83178848,83322410,83351919,84099650,84373980,84610726,84888825,85108919,85145638,85261369,85548890,85837466,85861320,86006511,86220183,86897686,86999413,87000786,87408553,88129155,88140469,88213712,88716886,88792486,88984847,89208168,89347369,89427253,89585668,89849206,89924566,89967295,89998912,90063733,90245519,90303032,90538069,90548080,90602086,90616873,91103284,91585408,91634773,92100469,92112715,92177926,92618308,92775783,92794153,92851126,93177013,93448438,93576204,93658943,93708860,93771258,93799911,93898970,93970246,94004432,94196015,94565638,94591100,95208890,95880469,95954233,95991519,96143284,96248569,96449466,96503660,96593985,96617066,96971151,96979369,96979915,97269673,97630933,97649668,97674646,98410726,98623343,98631238,98778166,98779448,98845753,99128569,99218566,99228475,99240426,99545586,99760693,99830569,99900373,99986892,...,894666909844342129478424705093303846032664082883638385820077205341670463974226077787140221938387740806580025677117979613232765371178114383427481605910015937166851941942655728331776725679105659745796448764921920711811479834161363244695351838487806812996436781085685712051567512485826071299242662346386896424750986347340178117070962022320869117608060140517945319067602835320135781764235246354092171347618575649978930251499585262375304908063228128997046632024377484192084819437958421382259418281662746277214987462321052794828225424492869846286215695820025029110935186788009157167424574755177462756618129056664008837315367579742250145452791076308238541767519536630375734992830562373038868979644936117036978448529224272051581506033918531201220708561283165564780857728817425917400271185623615291760369405478251538148714960878733894693939016308396388691773315017024872956462516229135091998005102540030936206736273293355341907491420735760467443152366611499917523935860248334550267115988678583310440941542553686812049915526993590306960534693323764516937623482716857463382912893512365030506638073762934715795751953702588988219966555514652667420622197634873725382175487500477641237750603196989830650687045174213837638287717402812708861062076671678965399547594310804488275384262028640952030020670041971325585818555693739552188772896539936916203005836569490875846357655441693067778057332860274134312776288762450965397165464323097888905590335669303305113345285243001757517816113164813213070187364180562638541527299569736420065246055731234118715046177850708534647742709684334975815565093598091425838738647678396862599848804799770226574422254157528180166091561739371800453178450643122174472850788838693928260320150811517320300774284170925532160154819288967573308722779818854633527653790230353819217996764267519424904312061212436091010510134534535528868117558649449079665706155685401271365000373894796017428649500277608177218686657715112870551419384462014696273907803158432487540104452868770358461537479411654988610260515867717969125018903018078690213721871696347720134507726325311794181111220208592970056995626175439600202453841446512984406156649140366131957868673026680349195402184284846016594509092563452953568584380047009105671478528974317271955935677560218289784281815267389902314156173304544989195427046157143940181899015821371531834763557915478523997210768515006213841313288920916615397705704029873722381059958087867355289779528441334103248950512670923069740520511297348534958493815188472039717292471694711813193630570941386385504494285973079226470159435150081336530237907335350947199117163018898497572799941069763270284999195449985527461598350651536921219335078380441157021928696610092929178464107577107998723132380285022033960145874522114772911919066593287715260622880022628293750252655090872296705912760874002559559351800179404782444757495958546552913708020597858060077759149394261725697189301954198368037840433152735224254653511814086430172516704713524854682156524177042036795449474894346092100449196173832715305723304716387028869428275387628791468349093023320105304426293514049841077891896259464493011943468360993684660814842865030642901138060450343111757126302717520269700340330041642796628800355124944489285183378466238043164486089962394113638821749814581861377212766736485458973168112539312928759909822521430756064460503515185014271755769400035775742525311160291659993070735951529695047326274651882516255814779481113134825210286205535526202422962299896104529353345465827725143421433714010981995464630286893244357373808334527020928742007632744825755842217303660290884017011078191723725206943598790702510986379114885600278393849374996723894105815279234699417216790307031354031681122}
23127  33056612825908612971548294902493574818265835499551122915079530174944608838592: {485457,577925,693510,739744,832212,2562657,2656385,2977449,3187662,3668289,4220529,4319513,4634457,4731605,4910289,5677926,5737209,6144334,6700857,6803585,7113489,7364753,7388457,7800729,7807462,8164302,8777620,9027017,9036249,9561185,9846193,10019758,10406769,10533144,10811857,10995124,11227929,11378933,11473422,11625605,11849787,11955958,12209849,12458049,12741673,12896689,13212628,13445729,13950726,14065990,14313940,14963993,15180718,15320769,15445510,15707320,16218913,16595257,16668814,16879188,17079940,17114885,17176728,17557393,17670735,18037329,18202390,18281029,18427337,18534612,18579489,18603286,18746644,18848784,19046734,19323819,19690678,20440777,20495928,20533985,20537862,20774357,21014457,21204882,21419529,21686740,21689457,21748409,21825166,21842868,21865909,22359832,22543433,23037657,23057919,23707510,23710857,24593686,24640782,24924617,25081990,25154811,25236337,25458369,25481134,26024088,26129409,26448673,26780920,27067857,27209620,27414773,27612052,27808073,28129540,28449012,28592729,28694134,28703105,29023318,29024437,29201110,29277099,29331193,29475609,29828404,30059585,30098388,30128535,30729649,30737285,30811729,30937126,31262518,31482484,31530135,31559557,31775302,31928953,32137104,32491097,32546038,32651544,32899246,33072657,33632144,33755448,34135089,34225492,34443726,34470478,34566529,34806148,34830773,35041332,35363302,35471105,36051910,36071502,36154242,36401620,36732987,36884742,37003846,37351083,37535875,37684942,37709457,37836162,37974879,38090164,39419729,40082649,40187285,40345588,40991620,41183374,41397729,41620084,41842457,42409273,42533686,42565326,42602809,43234809,43262292,43365849,43545185,43660529,43681944,43728022,43947089,44327086,44396153,44465575,44660740,45043050,45076369,45162953,45555605,45589857,45610702,45612790,45981609,46428742,46494340,46503609,46728088,47412593,47831233,48045920,48224742,48847857,48893560,48899105,49118278,49142187,49189944,49237809,49243540,49484614,49696582,49887249,49970137,50233985,50468278,50795457,51976453,52142926,52254222,52487398,52569099,52892758,53358690,53377144,53435969,53504117,53592888,53745097,53773588,54051660,54229985,54414520,54666726,54735348,54932289,55005255,55338687,55460699,55554968,55702313,55793208,56365972,56368633,56886785,56915936,56991489,57360257,57383284,57494182,57508789,57550085,57655104,58122358,58160213,58531857,58600726,58657294,58672272,58678926,58902712,59092248,59845588,60049287,60143633,60280782,60291999,60331873,60426886,61216335,61553428,61855894,62168917,62499339,62767359,63216118,63386889,63522250,63545092,63837233,64030428,64277457,64531689,64622393,64653046,64665989,64861992,64912857,65075982,65135177,65190502,65297424,65801409,66006306,66113729,66265551,66311977,66478779,66893953,67195329,67261153,67436212,67457717,67667278,68264142,68333649,68460009,69060102,69127054,69217649,69596169,70226529,71385910,71862657,71864308,71980084,72051605,72097540,72197368,72231529,72239649,72490857,72781492,72969741,73361285,73416649,73459602,73696564,74001268,74403975,75128655,75712726,75890278,76226700,76283086,76621929,76778710,77186998,77331382,77744049,77843494,78057147,78117657,78279209,78506452,78749048,79015153,79229570,79364240,79734129,80136598,80137232,80850849,81222039,81242566,81308480,81976120,82253878,82359604,82521877,82934548,83024422,83031940,83083012,84066009,84101908,85059988,85198222,85298289,85537335,85544457,85663092,86188390,86378885,86405289,86432017,86461926,86517048,86560289,86909273,86978548,88033542,88101017,88592679,88777208,88958662,89225457,89284770,89438875,89490694,89592369,90033742,90128353,90144886,90154386,90308740,90615797,91022737,91051177,91213492,91224053,91239824,91472040,92134452,92223135,92641569,92924873,92925175,93477185,94191608,94342569,95075484,95237088,95388568,95562790,95654158,96047585,96667540,97248833,97322566,97331679,97496833,97539353,97570176,97971729,98035249,98041678,98371344,98394303,98694969,98731942,98960644,99301678,99320655,99384532,99638328,99681172,99786037,99844757,99874359,...,1342000364766513194217637057639955769048996124325457578730115808012505695961339116680710332907581611209870038515676969419849148056767171575141222408865023905750277912913983592497665088518658489618694673147382881067717219751242044867043027757731710219494655171628528568077351268728739106948863993519580344637126479521010267175606443033481303676412090210776917978601404252980203672646352869531138257021427863474968395377249377893562957362094842193495569948036566226288127229156937632073389127422494119415822481193481579192242338136739304769429323543730037543666402780182013735751136862132766194134927193584996013255973051369613375218179186614462357812651279304945563602489245843559558303469467404175555467672793836408077372259050877796801831062841924748347171286593226138876100406778435422937640554108217377307223072441318100842040908524462594583037659972525537309434693774343702637997007653810046404310104409940033012861237131103640701164728549917249876285903790372501825400673983017874965661412313830530218074873290490385460440802039985646775406435224075286195074369340268547545759957110644402073693627930553883482329949833271979001130933296452310588073263231250716461856625904795484745976030567761320756457431576104219063291593115007518448099321391466206732413076393042961428045031005062956988378727833540609328283159344809905374304508754854236313769536483162539601667085999290411201469164433143676448095748196484646833358385503503954957670017927864502636276724169747219819605281046270843957812290949354604630097869083596851178072569266776062801971614064526502463723347640397137138758107971517595293899773207199655339861633381236292270249137342609057700679767675964683261709276183258040892390480226217275980451161426256388298240232228933451359963084169728281950291480685345530728826995146401279137356468091818654136515765201801803293302176337974173619498559233528101907047500560842194026142974250416412265828029986572669305827129076693022044410861704737648731310156679303155537692306219117482482915390773801576953687528354527118035320582807544521580201761589487967691271666830312889455085493439263159400303680762169769476609234973710549197936803009540020523793103276427269024891763638845179430352876570070513658507217793461475907933903516340327434676422722901084853471234259956817483793140569235715910272848523732057297752145336873217785995816152772509320761969933381374923096558556044810583571589937131801032934669292662001154873425769006384604610780766946022802437740722782708059575938707542067719790445856412079578256741428959618839705239152725122004795356861003026420798675744528347746359199911604644905427498793174978291192397525977305381829002617570661735532893044915139393767696161365661998084698570427533050940218811783172159367878599889931572890934320033942440625378982636308445058869141311003839339027700269107173667136243937819829370562030896787090116638724091392588545783952931297552056760649729102836381980267721129645258775057070287282023234786265563055193174212341519138150673794260749072958584957074580543304142413081443187202523639534980157956639440271074761616837844389196739517915202541490526991222264297545964351707090675514667635689454076280404550510495062464194943200532687416733927775067699357064746729134943591170458232624721872792065819150104728188459752168808969393139864733782146134096690755272777521407633654100053663613787966740437489989606103927294542570989411977823774383722169221669702237815429308303289303634443449844156794030018198741587715132150571016472993196945430339866536060712501790531393113011449117238633763325955490436326025516617287585587810415398186053766479568672328400417590774062495085841158722918852049125825185460547031047521683}
23128  33174987648880345007952466976896358735975604408658679182284005297524193697163: {254287,647276,669871,924680,946567,1040265,1084807,1109616,1248318,1637047,2050471,2325727,2463247,3089906,3365738,3416876,3834487,3969932,4250216,4380967,4467626,4781493,4891052,5017706,5198527,5627372,5742127,5877847,6149071,6179276,6547052,7096087,7231087,7485938,7570568,7649612,8174071,8516889,8845471,8934476,9113527,9216501,9484652,9515071,9782407,9851276,10182871,10400972,10885736,10972025,11114767,11513071,11711193,12048332,12246453,12572047,13166430,13231567,13743905,13875692,13889287,14044192,14545207,14807071,14970572,15029637,15297896,15799716,15898346,16112071,16492686,16515785,16610732,17021287,17210133,17892425,17933937,18314047,18582506,18600968,19086247,19564853,19599607,19634150,19818942,20427692,20719466,20926089,21098985,21349925,21470910,21514447,22050386,22505584,22529071,22771077,22902304,23160871,23168265,23413087,23433305,23560980,24042367,24049772,24168007,24712816,24772652,25003221,25131712,25295527,25318782,25619910,25765092,26021546,26665687,27108425,27303585,27327904,27383816,27801918,27903727,27904929,27949790,28019276,28119966,28150471,28273176,28520047,28559372,28570101,28913138,28919276,29123824,29428126,29536017,29624887,30221738,30716876,30743892,30806793,30967327,31614476,31807323,32059207,32530110,32663287,32737749,32764302,32854376,33476150,33539748,33626071,33866047,33866666,33944492,34012025,34515065,34584247,34698784,34839212,35161925,35180767,35561265,36090476,36605071,36710738,36841447,36890529,36961173,37285505,37622985,37932016,37997738,38136367,38221701,38605087,39036132,39300812,39353105,40131184,40171380,40352527,40468447,40814430,40887077,41277871,41418078,41582186,41853871,42040180,42194310,42673518,42771727,42781865,42849472,42855506,43000471,43041201,43507685,43534977,43535392,43571071,43801665,44096876,44125226,44366887,44742606,45007264,45147582,45502025,45513452,45644138,45924968,46172647,46405689,46705001,46721776,46893777,46905938,47223726,47612705,47662953,47912786,48095336,48205656,48610597,48625471,48819057,48957247,48977316,49179656,49348869,49398607,49418738,49669226,49801444,49948687,50279276,50431985,50448216,50606407,50633172,51239525,51338238,51539873,51665589,51705717,52025105,52209222,52561998,52995871,53044953,53077013,53443532,53748847,54077865,54107253,54231363,54602430,54924967,55196972,55327113,55505769,55668871,55825925,56124497,56527413,56753768,56754243,56935927,57135246,57646412,57683056,57821132,57854546,58117925,58242592,58296871,58410110,58609207,58817071,59128327,60057400,60366871,60518382,60572287,60786476,60792146,61116950,61308812,61487430,61554425,61775061,62004812,62430126,62711767,62981738,63172697,63216487,63618967,63800529,63847989,63920071,64299656,64893438,65130476,65522916,65586592,65592033,65650412,66490629,66516332,66721430,66845546,66895471,66991110,67216985,67564575,67565906,67727276,68018150,68164687,68416053,68419185,68763626,68905417,69241706,69443710,69614047,69643113,69672296,69741510,69957746,70092132,70120078,70457465,71144920,71237071,71426647,71457184,71729105,71899327,72068880,72337113,72572138,72888968,72980464,73243052,73340340,73628390,73677417,73784916,73865310,74226921,74390944,74544873,74698226,74806985,75249487,75702417,75707407,75913409,75988652,76345471,76617847,76873472,76941785,77250871,77680057,77880367,78042476,78214389,78229696,78238568,78381333,78417127,78731097,78789664,79339137,79431365,79659487,79747687,79834846,79846226,79923871,80038035,80065716,80363071,80374376,80389332,80660382,80800471,81077490,81621780,81932138,82000089,82006793,82103022,82360207,82417657,82532071,83216647,83332452,83464997,83689812,84006386,84295265,84515852,84548958,85373904,85703276,86042252,86074926,86241273,86482656,86550476,86715317,86767976,87063232,87183537,87735212,87798367,87901089,87960871,87985941,88008408,88018389,88204087,88354068,88638372,88800938,88929847,89010127,89593772,89768382,89808967,89830385,89933138,89975105,90121925,90246710,90421173,90640329,90758071,90976865,91018856,91111532,91150471,91280012,91287026,91306927,91696807,91774567,92080136,92120705,92330142,92501585,92548207,92699278,92783841,92794892,92855647,93085471,93531986,93635372,93695167,94095617,94649066,94824177,94979918,95121733,95283375,95317638,95496607,95718871,95816876,96045642,96319532,96601447,96654476,96966127,96979569,97184071,97292988,97329007,97613973,97785753,97946136,98133065,98436310,98620471,98640746,98762527,98833447,98861138,99009459,99205300,99468487,99818767,...,1789333819688684258956849410186607692065328165767276771640154410683340927948452155574280443876775481613160051354235959226465530742356228766854963211820031874333703883885311456663553451358211319491592897529843841423622959668322726489390703676975613625992873562171371424103135024971652142598485324692773792849501972694680356234141924044641738235216120281035890638135205670640271563528470492708184342695237151299957860502999170524750609816126456257994093264048754968384169638875916842764518836563325492554429974924642105589656450848985739692572431391640050058221870373576018314334849149510354925513236258113328017674630735159484500290905582152616477083535039073260751469985661124746077737959289872234073956897058448544103163012067837062402441417122566331129561715457634851834800542371247230583520738810956503076297429921757467789387878032616792777383546630034049745912925032458270183996010205080061872413472546586710683814982841471520934886304733222999835047871720496669100534231977357166620881883085107373624099831053987180613921069386647529033875246965433714926765825787024730061013276147525869431591503907405177976439933111029305334841244395269747450764350975000955282475501206393979661301374090348427675276575434805625417722124153343357930799095188621608976550768524057281904060041340083942651171637111387479104377545793079873832406011673138981751692715310883386135556114665720548268625552577524901930794330928646195777811180671338606610226690570486003515035632226329626426140374728361125277083054599139472840130492111462468237430092355701417069295485419368669951631130187196182851677477295356793725199697609599540453148844508315056360332183123478743600906356901286244348945701577677387856520640301623034640601548568341851064320309638577935146617445559637709267055307580460707638435993528535038849808624122424872182021020269069071057736235117298898159331412311370802542730000747789592034857299000555216354437373315430225741102838768924029392547815606316864975080208905737540716923074958823309977220521031735435938250037806036157380427443743392695440269015452650623588362222440417185940113991252350879200404907682893025968812313298280732263915737346053360698390804368569692033189018185126905907137168760094018211342957057948634543911871355120436579568563630534779804628312346609089978390854092314287880363798031642743063669527115830957047994421537030012427682626577841833230795411408059747444762119916175734710579559056882668206497901025341846139481041022594697069916987630376944079434584943389423626387261141882772771008988571946158452940318870300162673060475814670701894398234326037796995145599882139526540569998390899971054923196701303073842438670156760882314043857393220185858356928215154215997446264760570044067920291749044229545823838133186575430521245760045256587500505310181744593411825521748005119118703600358809564889514991917093105827416041195716120155518298788523451394378603908396736075680866305470448509307023628172860345033409427049709364313048354084073590898949788692184200898392347665430611446609432774057738856550775257582936698186046640210608852587028099682155783792518928986023886936721987369321629685730061285802276120900686223514252605435040539400680660083285593257600710249888978570366756932476086328972179924788227277643499629163722754425533472970917946336225078625857519819645042861512128921007030370028543511538800071551485050622320583319986141471903059390094652549303765032511629558962226269650420572411071052404845924599792209058706690931655450286842867428021963990929260573786488714747616669054041857484015265489651511684434607320581768034022156383447450413887197581405021972758229771200556787698749993447788211630558469398834433580614062708063362244}
23129  33293783582017650581255204050347318226800156975680375896944981421633453732814: {809095,970914,1155850,1387020,1479488,1664424,1872477,3718939,4271095,4634859,4827691,4962415,5048607,5104879,5125314,5312770,5954898,6113815,6375324,6624247,6701439,7034215,7336578,7526559,7724095,7872667,8183815,8441058,8639026,8703799,9268914,9393967,9463210,9525019,9562015,9820578,10089019,11168095,11228907,11355852,11474418,11855815,11927707,12163687,12288668,12314095,12717631,13001215,13385659,13401714,13607170,14226978,14729506,14776914,14965291,15060415,15471247,15601458,15614924,15890407,16080487,16275847,16328604,17344615,17555240,17684719,18054034,18072498,18713215,19122370,19402711,19692386,19749645,20020891,20039516,20595259,20763415,20776159,20813538,21066288,21623714,21990248,22455858,22545391,22757866,22809307,22946844,23122159,23218399,23251210,23699574,23847519,23911916,23960839,24419698,24563407,24739029,24746599,24916098,24926779,25483346,25534615,25571887,25793378,26425256,26642239,26891458,27083947,27417151,27810487,27873759,27901452,28101607,28131980,28591399,28627880,28747579,28752079,29305447,29451225,29728413,29927986,30062215,30361436,30641538,30891020,30965815,31079199,31079611,31414640,31421239,32206365,32437826,32493919,33075579,33190514,33337628,33758376,33791407,34159880,34229770,34353456,35024095,35114786,35341470,35503099,35699215,36074658,36149095,36313579,36404780,36562058,36854674,37069224,37158978,37206572,37493288,37697568,37978173,38093468,38396095,38429865,38647638,38928511,39032319,39381356,39423151,39509887,39518095,39653647,40184347,40755991,40881554,40991856,41067970,41075724,41548714,41702877,41840059,41924685,42028914,42083419,42138331,42179949,42409764,42430615,42624559,42839058,43032199,43369707,43373480,43378914,43496818,43549015,43650332,43685736,43731818,44142189,44400007,44719664,45086866,45113095,45179479,45332607,45667567,46075314,46115838,46561819,46765099,47115799,47415020,47416711,47421714,48748159,48795165,49126015,49146453,49187372,49281564,49659547,49669807,49849234,50163980,50214225,50309622,50472674,50682427,50799999,50916738,50962268,51598807,52048176,52258818,52550225,52741111,52897346,53167147,53374399,53561840,54135714,54285199,54419240,54494107,54829546,55066107,55121095,55224104,55401919,55616146,55707151,56259080,56262199,56891815,56898024,56996607,57185458,57365239,57388268,57406210,57590527,58046636,58048874,58165279,58402220,58419499,58554198,58662386,58940887,58951218,59391391,59656808,59758807,59798719,60119170,60196776,60257070,60476167,60646927,60963259,61221645,61459298,61474570,61623458,61874252,62127117,62251805,62373279,62525036,62849095,62964968,63060270,63119114,63238687,63291465,63550604,63777847,63857906,64010277,64274208,64283259,64628047,64707439,64982194,65002591,65092076,65303088,65798492,66001207,66145314,66187839,66804415,67002487,67113909,67264288,67510896,67721373,68270178,68450984,68458747,68466207,68887452,68940956,68996215,69133058,69612296,69661546,70082664,70327579,70358907,70726604,70835589,70942210,71078839,71347279,71869179,71974159,72058015,72103820,72143004,72276415,72308484,72798139,72803240,73465974,73769484,74007692,74128107,74424487,74503839,74702166,75071750,75369884,75393919,75418914,75672324,75748879,75921979,75949758,75983095,76180328,76371919,76636015,76787707,77007357,77032747,77506015,78022747,78134407,78313833,78839458,78842997,79641499,80101291,80165298,80374570,80570119,80691176,81413095,81903645,81983240,82063015,82097707,82145887,82366748,82795458,82967467,83145415,83240168,83684914,84609559,84659095,84818546,85067372,85130652,85205618,85410139,85702869,86013307,86469618,86524584,86731698,86781819,87090370,87321058,87363888,87410191,87456044,87615165,87894178,88654172,88792306,88931150,88998607,89321480,90086100,90152738,90325906,90777573,90930859,91111210,91179714,91188219,91221404,91225580,91231999,91553815,91675425,91845787,91963218,92231145,92555791,92857484,92988680,93007218,93456176,93645189,93702487,94472607,94798891,94825186,94985815,95662466,96091840,96179719,96449484,97340157,97515367,97547887,97553095,97695714,97787120,97798210,98236556,98284374,98379888,98475618,98487080,98969228,99222607,99393164,99774498,99940274,...,2684000729533026388435274115279911538097992248650915157460231616025011391922678233361420665815163222419740077031353938839698296113534343150282444817730047811500555825827967184995330177037316979237389346294765762135434439502484089734086055515463420438989310343257057136154702537457478213897727987039160689274252959042020534351212886066962607352824180421553835957202808505960407345292705739062276514042855726949936790754498755787125914724189684386991139896073132452576254458313875264146778254844988238831644962386963158384484676273478609538858647087460075087332805560364027471502273724265532388269854387169992026511946102739226750436358373228924715625302558609891127204978491687119116606938934808351110935345587672816154744518101755593603662125683849496694342573186452277752200813556870845875281108216434754614446144882636201684081817048925189166075319945051074618869387548687405275994015307620092808620208819880066025722474262207281402329457099834499752571807580745003650801347966035749931322824627661060436149746580980770920881604079971293550812870448150572390148738680537095091519914221288804147387255861107766964659899666543958002261866592904621176146526462501432923713251809590969491952061135522641512914863152208438126583186230015036896198642782932413464826152786085922856090062010125913976757455667081218656566318689619810748609017509708472627539072966325079203334171998580822402938328866287352896191496392969293666716771007007909915340035855729005272553448339494439639210562092541687915624581898709209260195738167193702356145138533552125603943228129053004927446695280794274277516215943035190587799546414399310679723266762472584540498274685218115401359535351929366523418552366516081784780960452434551960902322852512776596480464457866902719926168339456563900582961370691061457653990292802558274712936183637308273031530403603606586604352675948347238997118467056203814095001121684388052285948500832824531656059973145338611654258153386044088821723409475297462620313358606311075384612438234964965830781547603153907375056709054236070641165615089043160403523178975935382543333660625778910170986878526318800607361524339538953218469947421098395873606019080041047586206552854538049783527277690358860705753140141027317014435586922951815867807032680654869352845445802169706942468519913634967586281138471431820545697047464114595504290673746435571991632305545018641523939866762749846193117112089621167143179874263602065869338585324002309746851538012769209221561533892045604875481445565416119151877415084135439580891712824159156513482857919237679410478305450244009590713722006052841597351489056695492718399823209289810854997586349956582384795051954610763658005235141323471065786089830278787535392322731323996169397140855066101880437623566344318735757199779863145781868640067884881250757965272616890117738282622007678678055400538214347334272487875639658741124061793574180233277448182785177091567905862595104113521299458205672763960535442259290517550114140574564046469572531126110386348424683038276301347588521498145917169914149161086608284826162886374405047279069960315913278880542149523233675688778393479035830405082981053982444528595091928703414181351029335271378908152560809101020990124928389886401065374833467855550135398714129493458269887182340916465249443745584131638300209456376919504337617938786279729467564292268193381510545555042815267308200107327227575933480874979979212207854589085141978823955647548767444338443339404475630858616606578607268886899688313588060036397483175430264301142032945986393890860679733072121425003581062786226022898234477267526651910980872652051033234575171175620830796372107532959137344656800835181548124990171682317445837704098251650370921094062095043366}
23130  33413002113532818374288195392792534387773871020635290408355704789100695806466: {300521,508574,716069,992741,1294552,1339742,1361189,1456371,1545221,1637189,1683161,1733775,1849360,1893134,2050649,2080530,2169614,2219232,2325929,2371781,2496636,2509289,2600921,2921381,3150041,3274094,3606761,3834821,4100942,4426841,4651454,4926494,5108261,5244329,6149609,6179812,6194789,6330281,6731476,6833752,7141721,7668974,7687971,7905701,7939864,7969155,8040281,8500432,8622629,8761934,8846249,8932347,8935252,9292889,9560489,9562986,9782104,9783269,9827801,9961349,10035412,10397054,10450409,10849829,11004867,11027141,11115749,11254744,11484254,11514089,11755694,12298142,12358552,12573161,12661587,12705221,12958539,13094104,13232741,13496069,13903371,13934309,14192174,14194815,14462174,14546501,14730867,14852009,14971876,15141136,15200681,15299224,15331301,15360835,16348142,16417001,16546949,17022809,17033778,17211627,17583941,17690942,17868952,18227054,18358661,18433002,18444581,18702149,18969304,19002281,19030142,19087961,19130789,19241467,19518655,19564814,19644101,19702552,20102571,20365742,20410755,20794841,20801944,20879849,21340467,21516389,21643481,21770501,21771472,21944050,22066601,22094259,22165371,22229534,22531109,22573289,22952549,23026142,23122099,23205029,23402187,23422386,23457221,24044549,24086441,24096664,24295781,24492906,24588521,25049395,25144094,25339481,26046341,26170841,26332860,26336729,26463134,27081051,27081641,27108747,27329369,27487810,27535589,27751384,27778574,27947429,28088384,28153049,28194149,28683555,28932581,29090414,29538579,29614142,29872361,29889895,29941144,30059274,30595792,31010729,31220307,31375301,31599432,31796692,32062169,32102501,32224142,32435571,32806627,32985372,33031570,33068069,33221464,33308741,33509081,33683787,33789221,33869189,34042574,34136799,34420266,34467929,34587461,34627289,34706921,34876815,34985381,35164975,35184041,35549361,35699621,35784850,35867874,36371801,36628094,36629547,36884261,37081001,37165012,37201936,37356101,37374147,37473881,37951795,38061701,38172494,38179049,38225019,38608709,38613775,38690067,39129706,39199214,39268300,39309701,39581609,39637884,40337187,40855384,41320229,41438932,41672035,41742761,41852178,42011141,42197970,42699850,42813929,42941820,43028894,43461221,43575209,44100772,44144069,44371109,44408921,44711129,44891979,45011168,45058142,45505975,45542154,45804608,45962307,46321742,46336530,46508215,46826174,46849541,46866610,46998629,47121960,47407961,47556569,47616835,48084734,48099544,48321091,48336014,48656739,48667049,48961961,49219589,49226695,49329881,49403369,49425632,49440101,49545304,49733669,49785771,49953509,50006442,50173061,50263424,50428841,50591054,50637564,50975621,51239820,51344655,51530184,51629381,52043092,52136069,52199707,52672179,53001029,53012205,53331374,53539289,53754089,54111987,54216850,54218501,54562915,54607170,54655808,54767632,54843087,54930341,54965849,55094347,55143269,55282011,55497509,55603836,55709669,55738467,55807454,55809858,55886249,55899580,56038552,56239932,56300942,56520281,56546352,56731049,56871401,56976581,57040094,57118744,57140202,57501401,57675941,57826276,57838552,57971457,57989609,58247648,58615001,58856252,59072034,59249774,59268775,59582681,59651561,59858009,59894611,60407129,60443476,60783461,60910759,61090649,61322331,61433752,61484215,61487784,61533221,61601955,61613586,61737029,61804901,61934654,62245289,62323071,62414309,62704975,62718041,62727379,63043371,63222821,63228952,63256409,63457769,63614646,63702835,63826181,64060121,64118414,64258587,65060220,65068371,65245227,65326574,65475498,65528604,65597727,65708752,65917529,66328951,66607589,66657787,66934949,66952300,67079496,67252142,67294121,67619801,67630299,67732094,67733332,67879769,67888984,68024050,68204009,69030130,69112971,69139781,69168494,69173757,69236201,69397568,69460901,69653189,69678424,69845189,70323850,70361534,70604779,70673861,71122530,71132571,71244389,71465561,71735335,71843801,71906729,72032489,72180952,72314981,72502949,72558295,72835147,73002775,73210142,73407401,73421476,73682894,73779689,73781058,73922346,74428421,74571010,74705369,74773851,75165509,75245970,75257321,75287909,75349061,75464433,75709011,75715301,75864032,75995476,76019621,76272734,76353449,76375107,76443402,77210174,77258969,77289029,77342815,77379161,77709029,77918441,78008069,78072264,78156295,78388227,78455129,78601624,78706210,78870761,79346019,79438255,79667909,79756121,79785509,79961669,80262368,80342760,80400809,80546789,80705054,80936894,81203571,81360581,81365095,81505241,81628860,81774154,81793961,82024361,82244319,82248115,82555742,82836156,83140229,83164372,83424219,83707742,83736041,84018521,84080360,84388620,84496901,85112549,85347036,85543454,85563730,85698944,85711012,85752041,85778187,85918169,86000942,86082402,86109315,86176195,86249561,86332229,86497349,86662181,87015370,87018329,87069954,87070784,87073001,87073311,87142142,87318629,87427589,87603330,87831297,87835049,87993579,87997529,88193752,88213721,88250452,88408255,88426827,88733774,88805609,89019881,89485212,89579909,89715847,89739269,90014528,90129775,90178755,90295164,90385605,90479141,90636869,90689381,90768089,90794309,91004050,91026904,91288276,91654651,91706969,91784741,91849936,92188947,92211855,92345294,92435187,92509615,92635481,92811378,92865989,93350489,93410002,93443552,93578981,93787554,93811876,94103779,94212355,94235429,94447452,94536581,94590405,94678671,94786661,95085701,95225410,95325906,95507369,95655641,95786859,95825572,95951321,96190672,96343769,96411312,96612389,96917119,97001381,97049861,97219289,97221194,97250942,97340069,97473291,97638114,97653161,97914494,97954632,98060549,98359312,98631749,98640451,98655449,98697738,98726501,98797214,98797481,98837476,98868389,99217971,99338452,99479909,99602888,99783641,99830249,99853541,99897374,...,4026001094299539582652911172919867307146988372976372736190347424037517087884017350042130998722744833629610115547030908259547444170301514725423667226595071717250833738741950777492995265555975468856084019442148643203151659253726134601129083273195130658483965514885585704232053806186217320846591980558741033911379438563030801526819329100443911029236270632330753935804212758940611017939058608593414771064283590424905186131748133680688872086284526580486709844109698678864381687470812896220167382267482358247467443580444737576727014410217914308287970631190112630999208340546041207253410586398298582404781580754988039767919154108840125654537559843387073437953837914836690807467737530678674910408402212526666403018381509224232116777152633390405493188525774245041513859779678416628301220335306268812921662324652131921669217323954302526122725573387783749112979917576611928304081323031107913991022961430139212930313229820099038583711393310922103494185649751749628857711371117505476202021949053624896984236941491590654224619871471156381322406119956940326219305672225858585223108020805642637279871331933206221080883791661650446989849499815937003392799889356931764219789693752149385569877714386454237928091703283962269372294728312657189874779345022555344297964174398620197239229179128884284135093015188870965136183500621827984849478034429716122913526264562708941308609449487618805001257997871233604407493299431029344287244589453940500075156510511864873010053783593507908830172509241659458815843138812531873436872848063813890293607250790553534217707800328188405914842193579507391170042921191411416274323914552785881699319621598966019584900143708876810747412027827173102039303027894049785127828549774122677171440678651827941353484278769164894720696686800354079889252509184845850874442056036592186480985439203837412069404275455962409547295605405409879906529013922520858495677700584305721142501682526582078428922751249236797484089959718007917481387230079066133232585114212946193930470037909466613076918657352447448746172321404730861062585063581354105961748422633564740605284768463903073815000490938668365256480317789478200911042286509308429827704921131647593810409028620061571379309829281807074675290916535538291058629710211540975521653380384427723801710549020982304029268168703254560413702779870452451379421707707147730818545571196171893256436010619653357987448458317527962285909800144124769289675668134431750714769811395403098804007877986003464620277307019153813832342300838068407313222168348124178727816122626203159371337569236238734770224286878856519115717458175366014386070583009079262396027233585043239077599734813934716282496379524934873577192577931916145487007852711985206598679134745418181303088484096985994254095711282599152820656435349516478103635799669794718672802960101827321876136947908925335176607423933011518017083100807321521001408731813459488111686092690361270349916172274177765637351858793892656170281949187308509145940803163388935776325171210861846069704358796689165579522637024557414452021382782247218875754871223741629912427239244329561607570918604940473869918320813224284850513533167590218553745607624471580973666792892637893055121272026544002907068362228841213651531485187392584829601598062250201783325203098071194240187404830773511374697874165618376197457450314184565379256506426908179419594201346438402290072265818332564222900962300160990841363900221312469968818311781883627712968235933471323151166507665009106713446287924909867910903330349532470382090054596224763145396451713049418979590836291019599608182137505371594179339034347351715901289977866471308978076549851862756763431246194558161299438706016985201252772322187485257523476168756556147377475556381641093142565049}
23131  33532644736862872635407826313767523172952552108690265060287001118300495244036: {23131,762861,1132733,1618190,1941828,2009613,2311700,2774040,2839701,2958976,3120795,3254421,3328848,3744954,4911141,5705453,5979533,6151413,6947381,6977181,7389741,7437878,7724765,8414345,8542190,8559341,9269718,9304061,9655382,9847901,9924830,10097214,10209758,10250628,10625540,10813733,11101961,11169065,11457341,11503461,11909796,12227630,12544265,12750648,13142901,13248494,13386821,13402878,13594709,14068430,14096381,14344479,14673156,15053118,15448190,15472589,15595581,15635333,15745334,16367630,16598141,16864901,16882116,16990061,17226381,17239733,17278052,17407598,17633541,17686253,17972309,18201701,18284201,18447213,18537828,18714845,18787934,18926420,19050038,19124030,19633421,19641156,20022629,20178038,20740829,21084581,21288261,21693261,22336190,22457814,22711704,22948836,23220413,23661053,23711630,23855414,23905961,24282461,24327374,24522213,24577336,24628190,25435262,25550667,25842413,26002430,26078261,26198501,26453261,26536413,26644553,26771318,26803428,27214340,27340581,27590189,27649503,28453956,28545213,28593881,28754573,29029481,29068781,29307989,29347221,29459012,29553828,29930582,30120830,30221321,30548613,30734981,30942494,31082309,31202916,31229848,31565033,31780814,31955093,32008301,32121221,32160974,32551694,32657208,32916075,33344301,33588221,34539213,34689230,34971401,35110480,35133579,35369438,35506181,35748461,36108068,36144996,36316733,36739359,37426430,37716141,37955033,38244740,38805422,39384772,39499290,39657101,39694701,39745865,40041782,40079032,40292261,40759529,41190518,41231715,41526830,41552318,41627076,41667861,41843693,42087101,42132576,42141989,43247428,43352141,43566749,43635621,43980496,44158109,44421213,44911716,45088911,45090782,45183401,45515732,45618614,45893688,46244318,46436798,46456265,46502420,46565861,46863401,47399148,47639213,47695038,47823832,47921678,48336213,48752393,48839396,49033733,49085375,49126814,49478058,49493198,49547355,49832196,49853558,49978901,50174069,50608733,50686829,50966692,51063861,51069230,51143774,51337541,51586756,51630399,51798665,52110101,52850512,53284478,53677275,53754533,53782916,53801811,53970761,54167894,54834302,54942141,55125965,55325333,55620974,55747518,55802904,56203214,56263960,56378429,57083933,57182798,57255760,57258741,57495158,57504158,57595529,58424573,58610894,58694559,58700681,58798821,58902450,58946021,59222741,59402861,59456826,59855972,60124430,60399821,60671693,60722872,60968621,61283076,61782040,61931630,62158398,62159222,62179721,62778267,62829280,62833901,62842478,63158333,63296955,63487349,64049775,64412730,64543341,64875652,64987838,65008253,65053865,65875109,66151158,66323501,66381028,66675256,67516752,67582814,67587213,68313231,68319760,68459540,68706912,68776421,68889881,69170021,69482613,69504795,69874475,70048190,70229572,70239261,70270901,70299915,70666781,70682940,71006198,71398430,71673641,72127101,72149316,72282845,72298190,72480533,72504021,72627158,72680873,72809560,73124116,73570315,73709348,74138448,74317956,74413144,74413961,74532629,74986576,75009663,75203801,75395136,75554345,75886581,75956346,76186936,76267781,76378601,76792190,76859730,77169533,77295276,77857022,78064638,78524501,78762712,78846302,78950741,79019774,79036190,79307294,79648541,79997061,80368694,81325275,81511982,81712061,81763108,81910755,81983712,82135940,82151448,82816589,83097428,83180309,83405754,83680118,83690375,83711181,83714787,83849370,84057828,84166838,84276662,84359898,84451413,84456581,84666665,84819528,84861230,85249118,85560141,85678116,85710303,85924841,86064398,86739414,86746960,86757828,86993636,87098030,87152527,87300664,87371472,87463636,87988733,88284378,88608051,88800014,88874661,89439328,90173732,90226190,90358958,90444701,90665214,91038701,91335134,91443161,91776845,91810109,92150628,92208701,92231676,92420379,92563853,92901981,93123638,93526181,93530198,94013261,94231598,94807229,94830040,94833422,94843428,94994345,95421969,96177621,96594701,97496318,97523861,97590330,97989861,98052461,98213247,98252030,98292906,98374744,98563128,98938949,99319094,99339614,99698468,...,5368001459066052776870548230559823076195984497301830314920463232050022783845356466722841331630326444839480154062707877679396592227068686300564889635460095623001111651655934369990660354074633958474778692589531524270868879004968179468172111030926840877978620686514114272309405074914956427795455974078321378548505918084041068702425772133925214705648360843107671914405617011920814690585411478124553028085711453899873581508997511574251829448379368773982279792146264905152508916627750528293556509689976477663289924773926316768969352546957219077717294174920150174665611120728054943004547448531064776539708774339984053023892205478453500872716746457849431250605117219782254409956983374238233213877869616702221870691175345632309489036203511187207324251367698993388685146372904555504401627113741691750562216432869509228892289765272403368163634097850378332150639890102149237738775097374810551988030615240185617240417639760132051444948524414562804658914199668999505143615161490007301602695932071499862645649255322120872299493161961541841763208159942587101625740896301144780297477361074190183039828442577608294774511722215533929319799333087916004523733185809242352293052925002865847426503619181938983904122271045283025829726304416876253166372460030073792397285565864826929652305572171845712180124020251827953514911334162437313132637379239621497218035019416945255078145932650158406668343997161644805876657732574705792382992785938587333433542014015819830680071711458010545106896678988879278421124185083375831249163797418418520391476334387404712290277067104251207886456258106009854893390561588548555032431886070381175599092828798621359446533524945169080996549370436230802719070703858733046837104733032163569561920904869103921804645705025553192960928915733805439852336678913127801165922741382122915307980585605116549425872367274616546063060807207213173208705351896694477994236934112407628190002243368776104571897001665649063312119946290677223308516306772088177643446818950594925240626717212622150769224876469929931661563095206307814750113418108472141282331230178086320807046357951870765086667321251557820341973757052637601214723048679077906436939894842196791747212038160082095172413105709076099567054555380717721411506280282054634028871173845903631735614065361309738705690891604339413884937039827269935172562276942863641091394094928229191008581347492871143983264611090037283047879733525499692386234224179242334286359748527204131738677170648004619493703076025538418443123067784091209750962891130832238303754830168270879161783425648318313026965715838475358820956610900488019181427444012105683194702978113390985436799646418579621709995172699913164769590103909221527316010470282646942131572179660557575070784645462647992338794281710132203760875247132688637471514399559726291563737280135769762501515930545233780235476565244015357356110801076428694668544975751279317482248123587148360466554896365570354183135811725190208227042598916411345527921070884518581035100228281149128092939145062252220772696849366076552602695177042996291834339828298322173216569652325772748810094558139920631826557761084299046467351377556786958071660810165962107964889057190183857406828362702058670542757816305121618202041980249856779772802130749666935711100270797428258986916539774364681832930498887491168263276600418912753839008675235877572559458935128584536386763021091110085630534616400214654455151866961749959958424415709178170283957647911295097534888676886678808951261717233213157214537773799376627176120072794966350860528602284065891972787781721359466144242850007162125572452045796468954535053303821961745304102066469150342351241661592744215065918274689313601670363096249980343364634891675408196503300741842188124190086732}
23132  33652712950687794992270206476900657582730423369261649442618201427128924598666: {601042,1017148,1407331,1432138,1683307,1821187,1985482,2371987,2427285,2589104,2679484,2722378,2889625,2912742,3090442,3196027,3274378,3366322,3467550,3698720,3786268,4101298,4161060,4339228,4438464,4651858,4743562,4836331,4993272,5018578,5201842,5617431,5842762,6195331,6300082,6548188,7213522,7669642,7951267,8201884,8853682,9302908,9828667,9852988,10216522,10488658,10495747,11156817,12299218,12359624,12389578,12660562,12813285,13281925,13462952,13541131,13667504,13904577,14198131,14283442,14483073,14887245,15145821,15314637,15337948,15375942,15506731,15811402,15879728,15938310,16080562,16808131,17000864,17245258,17523868,17692498,17864694,17870504,18341445,18489187,18585778,19003987,19120978,19125972,19132507,19564208,19566538,19655602,19872741,19922698,20070824,20104317,20794108,20900818,21102645,21505169,21597565,21699658,22009734,22054282,22231498,22322107,22509488,22575331,22579677,22954627,22968508,23028178,23172285,23511388,23585347,23618001,23658025,24088627,24551445,24596284,24717104,24841387,25146322,25323174,25410442,25716331,25917078,26111397,26188208,26465482,26992138,27326117,27806742,27868618,28181901,28196731,28384348,28389630,28575057,28686045,28924348,29093002,29461734,29704018,29943752,30038131,30267057,30282272,30401362,30598448,30662602,30721670,30744769,31620907,31863331,32105467,32696284,32834002,33071131,33093898,33311827,33504285,33686721,34017925,34045618,34067556,34423254,34630507,35069153,35167882,35381884,35567445,35737904,35783121,36414667,36454108,36491061,36717322,36823765,36866004,36889162,36942285,37241731,37404298,37477387,37938608,38004562,38060284,38152893,38175922,38261578,38482934,39003645,39037310,39129628,39288202,39405104,40156977,40205142,40731484,40821510,41589682,41603888,41759698,41845853,42130027,42474331,42680934,43032778,43286962,43541002,43542944,43888100,44133202,44188518,44330742,44413147,44459068,44753131,44895873,45062218,45135085,45146578,45181245,45905098,46052284,46106587,46244198,46410058,46413741,46804374,46844772,46914442,47671221,47805925,48089098,48172882,48193328,48241461,48591562,48827541,48985812,49177042,49230965,49444867,49555027,50098790,50288188,50678962,51960331,52033845,52092682,52285627,52341682,52665720,52673458,52926268,53054157,53132513,54059285,54162102,54163282,54217494,54658738,54971227,54975620,55071178,55502768,55557148,55894858,56139645,56176768,56306098,56388298,56771731,56894665,57367110,57865162,58128025,58180828,58208133,58340849,59077158,59228284,59248935,59744722,59779790,59882288,59898331,60062673,60118548,60721147,61049245,61191584,61437331,61785777,62021458,62251507,62290245,62328477,62440614,62454331,62750602,63198864,63262747,63593384,63708365,64124338,64205002,64251121,64448284,64483445,64871142,64965331,65111501,65613254,65660347,65759347,65957131,65970744,66063140,66136138,66442928,66617482,66647107,66663569,67018162,67228645,67367574,67578442,67626667,67636173,67738378,68085148,68273598,68427921,68840532,68917373,68935858,69174922,69178987,69254578,69366477,69413842,69655197,69753630,69970762,70329950,70368082,70808131,70998427,71098722,71399242,71542557,71569700,71735748,71756731,71882517,72039907,72743602,73256188,73259094,73393573,73690221,73768522,73818307,74132357,74162002,74217087,74239797,74330024,74403872,74712202,74748294,74780337,74819965,74947762,75295747,75903590,76123402,76344988,76358098,76388081,76450038,76603845,76715661,77217418,77227550,77297131,77380134,78259412,78398428,78536600,78619402,78819787,78908707,79163218,79275768,79793947,79926717,80584507,80674374,80991229,81094565,81251841,81542827,81710768,82251453,82640458,82877864,82976285,83006731,83344070,83431461,83485522,83621277,83704356,84022282,84304821,84395940,84534067,85121731,85399700,85574425,85627858,85774197,85789027,85883640,85955131,86057788,86077901,86242737,86256237,86922442,87150418,87786965,87916341,88201544,88288138,88353675,88412131,88742218,88817842,89183969,89185239,89376787,89422258,89456707,89775667,89783958,90014131,90022336,90116284,90186645,90646867,90804331,91011950,91084308,91405145,91609216,91924614,92136685,92208547,92643484,92673060,92897445,93016430,93237597,93238833,93360907,93652348,93699082,93733220,93997258,94243920,94263717,94271131,94815922,95113138,95233670,95986747,96169468,96199088,96354667,96619095,96642182,96672028,97313478,97334098,97481757,97736347,97923922,97952131,98439178,98453107,98453390,98659762,98666731,98806738,98851264,98880202,99090608,99162667,99226737,99233227,99271381,99374131,99467338,99571542,99865027,99907018,99934867,...,8052002188599079165305822345839734614293976745952745472380694848075034175768034700084261997445489667259220231094061816519094888340603029450847334453190143434501667477483901554985990531111950937712168038884297286406303318507452269202258166546390261316967931029771171408464107612372434641693183961117482067822758877126061603053638658200887822058472541264661507871608425517881222035878117217186829542128567180849810372263496267361377744172569053160973419688219397357728763374941625792440334764534964716494934887160889475153454028820435828616575941262380225261998416681092082414506821172796597164809563161509976079535838308217680251309075119686774146875907675829673381614935475061357349820816804425053332806036763018448464233554305266780810986377051548490083027719559356833256602440670612537625843324649304263843338434647908605052245451146775567498225959835153223856608162646062215827982045922860278425860626459640198077167422786621844206988371299503499257715422742235010952404043898107249793968473882983181308449239742942312762644812239913880652438611344451717170446216041611285274559742663866412442161767583323300893979698999631874006785599778713863528439579387504298771139755428772908475856183406567924538744589456625314379749558690045110688595928348797240394478458358257768568270186030377741930272367001243655969698956068859432245827052529125417882617218898975237610002515995742467208814986598862058688574489178907881000150313021023729746020107567187015817660345018483318917631686277625063746873745696127627780587214501581107068435415600656376811829684387159014782340085842382822832548647829105571763398639243197932039169800287417753621494824055654346204078606055788099570255657099548245354342881357303655882706968557538329789441393373600708159778505018369691701748884112073184372961970878407674824138808550911924819094591210810819759813058027845041716991355401168611442285003365053164156857845502498473594968179919436015834962774460158132266465170228425892387860940075818933226153837314704894897492344642809461722125170127162708211923496845267129481210569536927806147630000981877336730512960635578956401822084573018616859655409842263295187620818057240123142758619658563614149350581833071076582117259420423081951043306760768855447603421098041964608058536337406509120827405559740904902758843415414295461637091142392343786512872021239306715974896916635055924571819600288249538579351336268863501429539622790806197608015755972006929240554614038307627664684601676136814626444336696248357455632245252406318742675138472477469540448573757713038231434916350732028772141166018158524792054467170086478155199469627869432564992759049869747154385155863832290974015705423970413197358269490836362606176968193971988508191422565198305641312870699032956207271599339589437345605920203654643752273895817850670353214847866023036034166201614643042002817463626918976223372185380722540699832344548355531274703717587785312340563898374617018291881606326777871552650342421723692139408717593378331159045274049114828904042765564494437751509742447483259824854478488659123215141837209880947739836641626448569701027066335180437107491215248943161947333585785275786110242544053088005814136724457682427303062970374785169659203196124500403566650406196142388480374809661547022749395748331236752394914900628369130758513012853816358839188402692876804580144531636665128445801924600321981682727800442624939937636623563767255425936471866942646302333015330018213426892575849819735821806660699064940764180109192449526290792903426098837959181672582039199216364275010743188358678068694703431802579955732942617956153099703725513526862492389116322598877412033970402505544644374970515046952337513112294754951112763282186285130098}
23133  33773208258948809396865283345256289947677459301827516535596007611222520435084: {46262,901563,1271435,1525722,2148207,2265466,2978223,3236380,3349355,3883656,4019226,4083567,4369113,4623400,4635663,4732835,4911567,5049483,5201325,5424035,5548080,5679402,5844047,5917952,6151947,6241590,6508842,6657696,6675611,6977787,7115343,7489908,7527867,7802763,8185235,8764143,9450123,9822282,10252355,10409531,10814671,10820283,11381891,11410906,11504463,11628635,11780083,11959066,12213023,12302826,12316235,13280523,13894762,13954362,14779482,14875756,14967887,15324783,15395027,15449530,15636691,15732987,16828690,17084380,17118682,17561971,18285787,18448827,18539436,18584367,18608122,18849007,18990843,19172435,19310764,19695802,19849660,20079163,20194428,20419516,20501256,20779763,21034607,21251080,21425163,21627466,21904835,22171231,22203922,22338130,22914682,23006922,23063913,23126171,23663107,23717103,23819592,23907465,24120843,24455260,24931103,25088530,25501296,25576331,25867887,25992635,26200783,26285802,26496988,26538747,26718427,26773642,26797041,26805756,27189418,27421907,27878667,28106483,28136860,28192762,28681467,28688958,28710635,29346312,29349807,29389235,29483403,29884047,30106236,30737647,30745355,30819763,30896380,30945178,31191162,31270666,31351227,31426691,31490668,31567771,31957867,32549487,32606587,32735260,33014601,33081423,33196282,33347247,33729802,33764232,33980122,34452762,34479466,34542267,34556104,34815196,34839851,35267082,35372506,35480435,35944618,36155435,36403402,36568402,36677323,36894426,37075656,37429690,37575868,37622687,37652747,37719483,37852840,37961443,37984761,38100076,38115663,38248060,38875617,39266842,39282312,39698223,40045258,40356076,40488207,40870355,41481658,41710113,41802927,42169162,42420331,42576522,42584445,43386522,43570531,43639503,43958543,44188763,44192601,44227355,44556027,44672380,44915628,45032527,45174767,45423408,45567635,45602043,45897672,45993903,46082505,46440826,46867483,47123987,47322106,47423260,47575355,47710828,47811922,48564922,48654748,48912035,49044426,49154672,49251003,49256380,49640847,50063747,50870524,50893151,50914355,51068427,51101334,51634881,51684826,52004860,52114627,52156522,52397002,52751823,52906522,53072826,53289106,53542636,53606856,54428680,54681162,54860125,55075983,55180378,55299006,55333743,55411547,55573835,55644211,56106447,56610383,56907912,57006843,57088891,57090426,57187762,57263883,57392367,57509146,57565355,57724401,58058962,58137562,58555965,58615978,58694442,58918024,58932303,59107656,59296627,59861164,60241660,60307713,60405067,60442642,61097226,61232265,61469962,61884988,62164618,62384523,62405832,62459696,62639547,62860235,63130066,63146831,63561628,63853871,63910186,64016602,64021401,64242442,64321948,64549167,64682843,64930443,65038771,65103388,65311503,65314416,65832150,65880847,66131087,66157835,66199803,66282777,66496113,66688602,67014131,67176442,67278691,67375787,67475363,67593327,67622027,67719867,68719525,68857647,69078426,69366297,69378460,69446435,69615087,69797291,69942802,70206561,70220960,70267158,70371663,70738876,71012362,71496922,71986667,72133647,72216136,72250363,72259323,72289992,72387923,72518131,72633466,72726035,72887343,73478718,73765563,74035355,74852860,75148185,75432282,75910066,76018443,76489480,77176351,77610844,77693347,78036431,78139023,78168367,78512523,78687347,78769544,78998580,79010187,79314202,79389402,79491730,80083564,80158064,80560355,80584522,81243153,81244923,81326241,81519058,81988107,82381036,82463430,82578925,82606767,83053660,83104636,83254152,83335722,83687386,83842287,83937947,84051307,84174202,84265152,84283978,84459147,84582447,85106435,85623931,86050665,86494856,86704282,86797743,87133498,87271242,87274427,87626323,87960992,88124063,88316218,88412027,88615737,88842426,89462125,89617083,89669685,89734703,89823432,90177822,90181564,90366802,91031464,91075411,91237228,91266323,91570235,91787376,92488636,92801683,92873596,92912530,92949251,93004840,93032187,93131722,93660921,93726802,94125903,94798296,95278426,95390076,95431235,95647664,95799407,95843356,95903803,96186507,96307503,96359567,96672426,97306713,97504786,97678792,97824265,97998035,98067466,98170750,98253628,98419881,98947567,98956116,98986396,99094710,99204207,99664392,99707116,99812323,99870971,99926223,99957802,...,12078003282898618747958733518759601921440965118929118208571042272112551263652052050126392996168234500888830346641092724778642332510904544176271001679785215151752501216225852332478985796667926406568252058326445929609454977761178403803387249819585391975451896544656757112696161418558651962539775941676223101734138315689092404580457987301331733087708811896992261807412638276821833053817175825780244313192850771274715558395244401042066616258853579741460129532329096036593145062412438688660502146802447074742402330741334212730181043230653742924863911893570337892997625021638123621760231759194895747214344742264964119303757462326520376963612679530161220313861513744510072422403212592036024731225206637579999209055144527672696350331457900171216479565577322735124541579339035249884903661005918806438764986973956395765007651971862907578368176720163351247338939752729835784912243969093323741973068884290417638790939689460297115751134179932766310482556949255248886573134113352516428606065847160874690952710824474771962673859614413469143967218359870820978657917016677575755669324062416927911839613995799618663242651374984951340969548499447811010178399668070795292659369081256448156709633143159362713784275109851886808116884184937971569624338035067666032893892523195860591717687537386652852405279045566612895408550501865483954548434103289148368740578793688126823925828348462856415003773993613700813222479898293088032861733768361821500225469531535594619030161350780523726490517527724978376447529416437595620310618544191441670880821752371660602653123400984565217744526580738522173510128763574234248822971743658357645097958864796898058754700431126630432242236083481519306117909083682149355383485649322368031514322035955483824060452836307494684162090060401062239667757527554537552623326168109776559442956317611512236208212826367887228641886816216229639719587041767562575487033101752917163427505047579746235286768253747710392452269879154023752444161690237198399697755342638838581791410113728399839230755972057342346238516964214192583187755190744062317885245267900694221815854305391709221445001472816005095769440953368434602733126859527925289483114763394942781431227085860184714137929487845421224025872749606614873175889130634622926564960141153283171405131647062946912087804506109763681241108339611357354138265123121443192455636713588515679769308031858960073962345374952583886857729400432374307869027004403295252144309434186209296412023633958010393860831921057461441497026902514205221939666505044372536183448367878609478114012707708716204310672860636569557347152374526098043158211749027237787188081700755129717232799204441804148847489138574804620731577733795748436461023558135955619796037404236254543909265452290957982762287133847797458461969306048549434310907399009384156018408880305481965628410843726776005529822271799034554051249302421964563004226195440378464335058278071083811049748516822533296912055576381677968510845847561925527437822409490166807328975513632585538209113076390067496738567911073672243356064148346741656627264613671224889737281717732988684822712755814821421609754962439672854551540599502770655661236822873414742921000378677913679165363816079632008721205086686523640954594455562177754488804794186750605349975609294213582720562214492320534124093622496855128592372350942553696137769519280724538258782604039315206870216797454997692668702886900482972524091700663937409906454935345650883138904707800413969453499522995027320140338863774729603732709991048597411146270163788674289436189355139148256938772508873058798824546412516114782538017103042055147703869933599413926934229649555588270290293738583674483898316118050955603758316966562455772570428506269668442132426669144923279427695147}
23134  33894132170866730419090493977631867094500506978627124586578678404153648622800: {69393,392989,1085089,1202084,1223293,1637473,2034296,2288583,2463889,2601373,2814662,2864276,3013393,3366614,3398199,3642374,3970964,3972253,4045475,4382113,4518589,4743974,4854570,5178208,5199889,5335933,5358968,5444756,5779250,5825484,5879389,6015073,6028839,6180884,6392054,6421693,6548756,6732644,6935100,7232989,7397440,7572536,7907089,8202596,8322120,8519103,8678456,8713633,8876928,9303716,9362385,9487124,9672662,9763263,9986544,10037156,10052113,10403684,11117713,11234862,11685524,11781373,12390662,12600164,12707473,13096376,13366813,14427044,14680093,14733423,15339284,15725533,15902534,16403768,16636513,17116359,17707364,17938599,18447889,18454239,18594695,18605816,19091389,19219873,19657334,19705976,19733089,20433044,20842143,20883613,20931543,20977316,20991494,21355475,21647389,22169223,22313634,23174295,23419453,24138455,24174589,24300193,24598436,24719248,24779156,24812075,25243035,25321124,25524395,25626570,25678023,26563850,26797153,26925904,27082262,27335008,27809154,27912183,28034833,28396262,28566884,28966146,29543703,29633053,29755489,29774490,30236591,30291642,30569075,30629274,30675896,30751884,31013462,31097533,31462033,31622804,31759456,31876620,32161124,32189089,32441199,32913553,33121235,33305883,33507195,33616262,33875473,34001728,34372023,34490516,34510383,34713373,35047736,35171075,35384996,35729388,35741008,35785489,36334727,36682890,36978374,37087933,37171556,37632795,38007974,38147089,38241956,38251944,38265014,38615953,38620475,39128416,39133076,39311204,39363335,39428703,39745482,39845396,40141648,40160463,40208634,40479889,40595773,40784127,40919075,41588216,41801636,42205290,42289143,42783889,43010338,43033437,43195130,43399316,43518995,44019468,44108564,44379553,44462996,44644214,45018976,45150662,45159354,45172093,45909254,45937016,46056356,46298173,46344570,46417767,46746589,46786743,46905999,46969835,47022776,47170694,47236002,47316050,47625095,47810075,48177254,49102890,49192568,49412893,49434208,49682774,49794423,50072989,50292644,50445095,50511613,50594703,50646348,50820884,50970183,51432662,51553271,51679143,51719199,51834156,52222794,52376416,52900623,52930964,53058759,53226913,53916927,53984276,54407389,54605103,54652234,54852603,55047613,55341639,55613484,55737236,55840475,55897213,56144535,56363802,56393462,56531389,56768696,56779260,56952733,57150114,57372090,57582589,57848696,58186004,58730593,58900263,58923468,59279075,59408036,59638535,59663389,59887504,60067887,60076262,60534114,60564544,60590353,60802724,60818435,61196896,61325204,61443340,61489538,61570475,61817233,62222487,62730589,63189119,63241814,63253743,63588155,63726662,63864783,64139773,64210934,65006075,65079783,65392568,65668004,66142262,66187796,66621073,66623654,66928295,67008570,67209889,67373442,68035850,68091236,68135112,68846508,68923351,69261014,69635389,69661239,70019293,70138306,70210813,70335764,70763768,70983159,71134890,71448673,71475808,71543389,71566242,71717883,71921533,72829334,72847383,72861853,72908216,72982122,73434644,73566639,73647530,73732008,73778324,73884570,73980733,74483462,74808596,74826455,74954774,75302075,75364753,75682999,75877216,75933143,76009124,76120568,76305786,76351844,76523156,76652001,76732573,76965868,77356235,77527239,78007290,78074620,78234783,78259256,78531133,78576404,78595503,78810208,79359783,79452035,79609239,79652531,79772989,79933659,80313954,80402435,80410284,81379235,81462968,81522589,81643020,82021743,82028111,82300513,82730173,82770567,82948509,83179364,83207776,83328673,83519396,83691706,84092989,84260054,84515089,84948662,85361868,85468943,85635639,85781643,86065556,86263719,86268253,86516113,86573924,86576831,86723075,86737859,86927773,87082004,87085888,87088443,87091933,87206343,87776200,87908413,87923967,88041663,88266404,88377036,88423595,88661484,88826294,88918136,89039389,89191711,89506262,89791746,89918113,90124436,90270170,90276823,90293156,90362490,90663963,90709393,91645839,91805089,91810196,92104568,92204943,92213174,92488396,92579089,92656093,92820116,92827482,93246927,93566075,93608748,93650593,93689544,93828884,94120103,94482589,94695099,95156833,95342442,95603089,95611850,95716907,95865279,96024903,96178196,96345764,96363663,96386656,96482922,96707389,97013555,97071889,97183124,97655082,97971624,98354084,98461930,98748225,98796433,98867389,98889734,99110054,99572989,99853213,...,16104004377198158330611644691679469228587953491905490944761389696150068351536069400168523994890979334518440462188123633038189776681206058901694668906380286869003334954967803109971981062223901875424336077768594572812606637014904538404516333092780522633935862059542342816928215224744869283386367922234964135645517754252123206107277316401775644116945082529323015743216851035762444071756234434373659084257134361699620744526992534722755488345138106321946839376438794715457526749883251584880669529069929432989869774321778950306908057640871657233151882524760450523996833362184164829013642345593194329619126323019952159071676616435360502618150239373548293751815351659346763229870950122714699641633608850106665612073526036896928467108610533561621972754103096980166055439118713666513204881341225075251686649298608527686676869295817210104490902293551134996451919670306447713216325292124431655964091845720556851721252919280396154334845573243688413976742599006998515430845484470021904808087796214499587936947765966362616898479485884625525289624479827761304877222688903434340892432083222570549119485327732824884323535166646601787959397999263748013571199557427727056879158775008597542279510857545816951712366813135849077489178913250628759499117380090221377191856697594480788956916716515537136540372060755483860544734002487311939397912137718864491654105058250835765234437797950475220005031991484934417629973197724117377148978357815762000300626042047459492040215134374031635320690036966637835263372555250127493747491392255255561174429003162214136870831201312753623659368774318029564680171684765645665097295658211143526797278486395864078339600574835507242989648111308692408157212111576199140511314199096490708685762714607311765413937115076659578882786747201416319557010036739383403497768224146368745923941756815349648277617101823849638189182421621639519626116055690083433982710802337222884570006730106328313715691004996947189936359838872031669925548920316264532930340456851784775721880151637866452307674629409789794984689285618923444250340254325416423846993690534258962421139073855612295260001963754673461025921271157912803644169146037233719310819684526590375241636114480246285517239317127228298701163666142153164234518840846163902086613521537710895206842196083929216117072674813018241654811119481809805517686830828590923274182284784687573025744042478613431949793833270111849143639200576499077158702672537727002859079245581612395216031511944013858481109228076615255329369203352273629252888673392496714911264490504812637485350276944954939080897147515426076462869832701464057544282332036317049584108934340172956310398939255738865129985518099739494308770311727664581948031410847940826394716538981672725212353936387943977016382845130396611282625741398065912414543198679178874691211840407309287504547791635701340706429695732046072068332403229286084005634927253837952446744370761445081399664689096711062549407435175570624681127796749234036583763212653555743105300684843447384278817435186756662318090548098229657808085531128988875503019484894966519649708956977318246430283674419761895479673283252897139402054132670360874214982430497886323894667171570551572220485088106176011628273448915364854606125940749570339318406392249000807133300812392284776960749619323094045498791496662473504789829801256738261517026025707632717678376805385753609160289063273330256891603849200643963365455600885249879875273247127534510851872943733885292604666030660036426853785151699639471643613321398129881528360218384899052581585806852197675918363345164078398432728550021486376717356137389406863605159911465885235912306199407451027053724984778232645197754824067940805011089288749941030093904675026224589509902225526564372570260196}
23135  34015486200960375106887287486526160444723452998089472462880734900095755429900: {92524,1502605,1780009,1803126,2542870,3051444,3580345,4221993,4296414,4530932,4689097,4963705,5049921,5463561,5956446,6472760,6625969,6698710,6805945,6906601,7115961,7281855,7460977,7593649,7726105,7767312,8038452,8167134,8185945,8415805,8668875,8738226,9246800,9271326,9396409,9465670,9588081,9823134,10098966,10253245,10402650,10848070,10917313,11096160,11358804,11459329,11629645,11688094,11835904,11858905,12166849,12302173,12303894,12483180,12546445,12720937,13004605,13017684,13315392,13351222,13450393,13955574,14230686,14353297,14508993,14517949,14606905,14979816,15055734,15475273,15605526,15750205,16280089,16370470,16456753,16852293,16993009,17242729,17528286,17689321,18004393,18033805,18433729,18585993,18900246,19174105,19644564,20504710,20819062,21036433,21629342,21640566,21755953,22134205,22763782,22821812,23008926,23128177,23224441,23257270,23560166,23853801,23910109,23918132,24426046,24569809,24605652,24632470,24859081,25541305,25846897,26082793,26221645,26561046,26841409,27091009,27789524,27908724,28108921,28602673,28759561,29313073,29486001,29558964,29751512,29935774,30226573,30649566,30666769,30748045,30790054,30899060,30941377,30973945,31273382,31282921,31429417,31465974,31487241,31651405,33132913,33470451,33594049,33657380,34168760,34237364,34842877,34977469,35123942,35432461,35708605,36389689,36571574,36897654,37078872,37168734,37216244,37625953,37698014,37961629,37981686,38158153,38344870,38439855,38621528,38682481,38752093,38938657,39391604,39520189,39528505,39699320,39845775,40158326,40194889,40201405,40388856,40623393,40839032,41002512,41144929,41169073,41559526,41713731,41857009,42069214,42502160,42594393,42850326,43043497,43113145,43254932,43449219,43809670,43962361,44231245,44342462,44407844,44498701,44661735,44676260,44764777,45437463,45679513,45829364,45943911,46013844,46127826,46252342,46464445,46520193,47326214,47434206,47639184,47802445,47814930,48241686,48910520,48916345,49139005,49387441,49672609,49806745,49862206,50068093,50177060,50294137,50424393,50617609,50897569,51002592,51152662,51735774,51985270,52252045,52401566,52505881,52571604,52754857,52993976,53077494,53388361,53436854,53454553,53547284,53594082,53611512,54249145,54378836,54843814,55024335,55135705,55467561,55578745,55757334,56176153,56212966,56273720,56385524,57011961,57218497,57362934,57377916,57397521,57421270,57570445,57668521,58692624,58699614,58778470,58966806,59233033,59406877,59618223,59768094,60212472,60312951,60491929,61282909,61475294,61490710,61639526,61792760,61890356,61918297,62382324,62541332,62702454,62853382,62865805,62981336,63135542,63255169,63307935,63526105,63794689,63859417,63915734,64515507,64688461,64792695,65098974,65213174,65470520,66018409,66029202,66136873,66162846,66163705,66392564,66605497,66694494,66966321,67459604,67480345,67528464,67725993,67739031,67960244,68124793,68476849,68709961,68863881,68901853,68905524,68958932,69084534,69112208,69516855,69630392,69671545,69679702,70283113,70534164,70577149,70745012,70756041,70854003,70960870,70974075,71280097,71889236,72022393,72265881,72310870,72493129,72732505,72806804,73136804,73354646,73444681,73654335,73788852,74151312,74260045,74426893,74524161,74628073,74859380,75151736,75245374,75305494,75348061,75413641,75438966,75705680,75922886,75969522,76003405,76200152,76231326,76496120,76656505,76762429,76804175,76807729,77053009,77148993,77751234,77803369,78008737,78154921,78306433,78334191,78533684,78538273,78564624,78694201,79396446,79528009,79743553,79916941,80090516,80122177,80591497,80712152,80976414,81740710,81978351,82085005,82167409,82734745,82963316,83420226,83605854,84338324,84471409,84545703,84590193,84840662,85114045,85153044,85168890,85725171,86058135,86590393,86773044,86939809,87141062,87279006,87917086,87919705,88004329,88032481,88377526,88385202,88454710,89112054,89344760,89831256,90065054,90114393,90349534,90801171,90846816,91135270,91204086,91793305,91795344,91987806,92165010,92222905,92224873,92234307,92620969,92881652,93293353,93347353,93510745,93727069,93734966,94247974,94644212,94846520,94862721,95011405,95150710,95214013,95421656,95439805,95589993,95623844,95653945,95807833,96207335,96313561,96316401,97129844,97225009,97309496,97593275,97824070,98088852,98220505,98309344,98502006,98512760,99073921,99213393,99248809,99281694,99625993,99879709,99935481,...,24156006565797237495917467037519203842881930237858236417142084544225102527304104100252785992336469001777660693282185449557284665021809088352542003359570430303505002432451704664957971593335852813136504116652891859218909955522356807606774499639170783950903793089313514225392322837117303925079551883352446203468276631378184809160915974602663466175417623793984523614825276553643666107634351651560488626385701542549431116790488802084133232517707159482920259064658192073186290124824877377321004293604894149484804661482668425460362086461307485849727823787140675785995250043276247243520463518389791494428689484529928238607514924653040753927225359060322440627723027489020144844806425184072049462450413275159998418110289055345392700662915800342432959131154645470249083158678070499769807322011837612877529973947912791530015303943725815156736353440326702494677879505459671569824487938186647483946137768580835277581879378920594231502268359865532620965113898510497773146268226705032857212131694321749381905421648949543925347719228826938287934436719741641957315834033355151511338648124833855823679227991599237326485302749969902681939096998895622020356799336141590585318738162512896313419266286318725427568550219703773616233768369875943139248676070135332065787785046391721183435375074773305704810558091133225790817101003730967909096868206578296737481157587376253647851656696925712830007547987227401626444959796586176065723467536723643000450939063071189238060322701561047452981035055449956752895058832875191240621237088382883341761643504743321205306246801969130435489053161477044347020257527148468497645943487316715290195917729593796117509400862253260864484472166963038612235818167364298710766971298644736063028644071910967648120905672614989368324180120802124479335515055109075105246652336219553118885912635223024472416425652735774457283773632432459279439174083535125150974066203505834326855010095159492470573536507495420784904539758308047504888323380474396799395510685277677163582820227456799678461511944114684692477033928428385166375510381488124635770490535801388443631708610783418442890002945632010191538881906736869205466253719055850578966229526789885562862454171720369428275858975690842448051745499213229746351778261269245853129920282306566342810263294125893824175609012219527362482216679222714708276530246242886384911273427177031359538616063717920147924690749905167773715458800864748615738054008806590504288618868372418592824047267916020787721663842114922882994053805028410443879333010088745072366896735757218956228025415417432408621345721273139114694304749052196086316423498054475574376163401510259434465598408883608297694978277149609241463155467591496872922047116271911239592074808472509087818530904581915965524574267695594916923938612097098868621814798018768312036817760610963931256821687453552011059644543598069108102498604843929126008452390880756928670116556142167622099497033645066593824111152763355937021691695123851054875644818980333614657951027265171076418226152780134993477135822147344486712128296693483313254529227342449779474563435465977369645425511629642843219509924879345709103081199005541311322473645746829485842000757355827358330727632159264017442410173373047281909188911124355508977609588373501210699951218588427165441124428984641068248187244993710257184744701885107392275539038561449076517565208078630413740433594909995385337405773800965945048183401327874819812909870691301766277809415600827938906999045990054640280677727549459207465419982097194822292540327577348578872378710278296513877545017746117597649092825032229565076034206084110295407739867198827853868459299111176540580587477167348967796632236101911207516633933124911545140857012539336884264853338289846558855390294}
23136  34137271869065038631709252661599593518301743569075949835943304998148793615722: {115655,138786,439223,785978,854663,1683599,1821503,1913399,2170178,2234783,2404168,2446586,2464103,2509943,2704689,3274946,3744599,3814305,3972599,4068592,4427999,4564463,4577166,4927778,5202746,5245703,5629324,5663665,5728552,6026786,6331943,6444621,6467399,6733228,6796398,7284748,7941928,7944506,7952663,8042399,8090950,8176943,8356223,8764226,8934669,9027383,9037178,9295343,9487948,9518423,9709140,9963983,10048065,10356416,10364303,10399778,10586423,10671866,10717936,10889512,11295863,11558500,11650968,11758778,11826599,12030146,12057678,12250701,12361768,12708599,12784108,12840623,12843386,13097512,13107339,13236263,13367999,13465288,13870200,13906989,14198505,14465978,14681399,14734701,14794880,15145072,15148449,15335399,15603975,15814178,16272105,16291343,16405192,16551383,16644240,17038206,17200223,17356912,17427266,17532141,17588663,17753856,18455841,18492503,18607432,18724770,18974248,19007399,19093103,19135943,19221599,19345324,19521143,19526526,19973088,20026833,20074312,20104226,20161703,20807368,20933361,21012983,21346029,21649343,21776399,22235426,22410599,22469724,22583601,23371048,23408289,23463599,23562746,23589623,24176783,24427943,24555705,24720599,24781324,25200328,25414946,26032573,26177999,26192752,26292429,26733626,27913943,28325183,28350369,28527265,28776623,28854088,29360186,29466846,29897665,30410063,30613343,30678568,30757065,30897599,31228593,31451066,31505399,31805068,32192063,32232383,32444013,32460849,32807536,32916599,33273026,33438263,33638543,33793837,33798623,34038503,34145673,34232718,34513389,34597103,34716599,34736905,34836023,34885905,35193863,35340249,35414728,35734153,35828423,35877198,36639069,36895778,36908478,36948705,37189390,37211632,37484399,37602143,38182778,38189783,38439746,38623825,38853599,39314668,39411952,39466178,39709223,39841569,40135583,40866088,41293463,41684286,41754599,41767226,41863086,41869703,41954632,41982988,42023063,42071725,42137999,42214583,42710950,42796705,42826103,42941041,43294778,43587623,44338446,44421599,44627268,44903661,45176399,45974349,46185081,46190303,46348590,46369729,46520305,46751063,46788383,46838906,46910073,47198961,47681663,48276910,48349178,48600386,48791783,49196872,49239505,49344143,49438496,49454399,49558312,49564583,49624150,49637999,50077823,50486070,50642248,51048790,51099599,51253140,51356046,52367999,52685913,53127700,53267999,53594306,53851808,54068665,54164524,54412703,54448343,54670016,54857361,55052999,55108669,55346481,55509805,55618308,55690703,55753101,55824366,55845325,56069666,56361023,56536943,56547021,56747783,56792524,56972529,56993399,57133768,57286705,57517305,57932292,58458863,58736399,58978823,59087406,59266106,59510978,59548980,59600399,59772599,60237489,60473182,60583284,60733223,60801599,60926593,61138150,61258548,61351792,61503768,61925183,62026924,62195066,62339289,62721325,62924066,63103821,63174599,63245608,63518912,63577463,63753240,63945743,64079423,64275489,64322248,64378178,64882398,65714505,65757769,65827106,65838599,66167999,66242470,66430943,66513693,66611766,66660599,66675133,66934105,67014390,67232524,67750946,67900463,67973545,68003456,68744046,68981032,69020766,69160943,69191739,69257399,69353783,69378513,69426746,69674543,70058399,70095472,70217999,70342150,70481905,70623133,70769992,70989321,71151309,71266343,71458776,71482016,71487599,71570978,71722395,72054743,72211823,72362529,72431399,72669454,73365780,73523399,73956748,74175866,74204783,74343112,74451599,74667143,74793309,75265590,75280823,75372599,75464303,76015948,76294178,76483912,76503888,76530028,76728993,77231906,77240950,77283263,77362945,77403503,77603661,77977905,78032663,78176665,78256832,78266152,78450143,78602349,78622408,78726670,78857406,78895703,79191743,79490964,79616241,79690792,79781423,79810823,80155281,80283296,80320926,80391123,80417268,80951183,80959778,81191546,81560183,81568254,81704663,81838150,81906599,82265721,82767599,82990705,83176432,83252303,83493949,83603272,83636001,84130223,84319449,84324505,84410580,84552263,84578286,84950305,85028399,85145809,85223783,85567778,85862999,86020676,86044401,86066874,86131905,86198665,86360303,86390260,86690399,86798632,86964599,87037990,87782399,88038936,88049421,88167705,88217128,88431265,88450209,88759106,88925992,89023417,89288428,89396399,89609423,89652141,89739169,89848463,89861545,90037952,90245423,90301324,90318708,90344186,90509063,90587999,90719399,90798143,91008505,91190783,91421005,91451543,91678477,91685543,91815263,91818508,91874032,92112712,92212941,92236065,92459289,92589383,92596346,92689140,92835534,92999303,93228983,93493178,93573486,93574225,93610343,93686399,93699613,93811998,93939670,94045552,94053681,94191599,94280073,94341388,94472004,94493183,94632100,94643543,94703313,95117783,95250190,95613863,95620150,95762063,95860703,95873601,96354508,96718343,96742703,96942313,97324943,97648461,97686503,97758599,97819761,98167105,98205780,98385136,98665583,98760383,98825786,98831399,98868416,98902343,99020423,99043803,99244269,99302999,99365548,99584423,99588846,99887999,99957863,...,36234009848695856243876200556278805764322895356787354625713126816337653790956156150379178988504703502666491039923278174335926997532713632528813005039355645455257503648677556997436957390003779219704756174979337788828364933283535211410161749458756175926355689633970271338088484255675955887619327825028669305202414947067277213741373961903995199263126435690976785422237914830465499161451527477340732939578552313824146675185733203126199848776560739224380388596987288109779435187237316065981506440407341224227206992224002638190543129691961228774591735680711013678992875064914370865280695277584687241643034226794892357911272386979561130890838038590483660941584541233530217267209637776108074193675619912739997627165433583018089050994373700513649438696731968205373624738017105749654710983017756419316294960921869187295022955915588722735104530160490053742016819258189507354736731907279971225919206652871252916372819068380891347253402539798298931447670847765746659719402340057549285818197541482624072858132473424315888021578843240407431901655079612462935973751050032727267007972187250783735518841987398855989727954124954854022908645498343433030535199004212385877978107243769344470128899429478088141352825329555660424350652554813914708873014105202998098681677569587581775153062612159958557215837136699838686225651505596451863645302309867445106221736381064380471777485045388569245011321980841102439667439694879264098585201305085464500676408594606783857090484052341571179471552583174935129342588249312786860931855632574325012642465257114981807959370202953695653233579742215566520530386290722702746468915230975072935293876594390694176264101293379891296726708250444557918353727251046448066150456947967104094542966107866451472181358508922484052486270181203186719003272582663612657869978504329329678328868952834536708624638479103661685925660448648688919158761125302687726461099305258751490282515142739238705860304761243131177356809637462071257332485070711595199093266027916515745374230341185199517692267916172027038715550892642577749563265572232186953655735803702082665447562916175127664335004418448015287308322860105303808199380578583775868449344290184828344293681257580554142413788463536263672077618248819844619527667391903868779694880423459849514215394941188840736263413518329291043723325018834072062414795369364329577366910140765547039307924095576880221887036124857751660573188201297122923607081013209885756432928302558627889236070901874031181582495763172384324491080707542615665818999515133117608550345103635828434342038123126148612932018581909708672041457123578294129474635247081713361564245102265389151698397613325412446542467415724413862194733201387245309383070674407866859388112212708763631727796356872873948286861401543392375385907918145648302932722197028152468055226640916445896885232531180328016589466815397103662153747907265893689012678586321135393005174834213251433149245550467599890736166729145033905532537542685776582313467228470500421986926540897756614627339229170202490215703733221016730068192445040224969881793841013674669211845153198966054468138267444464264829264887319018563654621798508311966983710468620244228763001136033741037496091448238896026163615260059570922863783366686533263466414382560251816049926827882640748161686643476961602372280867490565385777117052827661088413308557842173614776347812117945620610650392364993078006108660701448917572275101991812229719364806036952649416714123401241908360498568985081960421016591324188811198129973145792233438810491366022868308568065417444770816317526619176396473639237548344347614051309126165443111609800798241780802688948666764810870881215751023451694948354152866811274950899687367317711285518809005326397280007434769838283085441}
23137  34259490700351033938838519070786446026154893923883210065056844007343473201647: {185048,208179,1178967,2103647,3005210,3255267,3560018,3606252,3669879,4912419,5012483,5085740,6102888,6865749,6949187,7036655,7160690,7391667,7804119,8338739,8416535,8443986,8592828,9040179,9061864,9105935,9378194,9528323,9927410,10099842,10194597,10816547,10927122,11104847,11460323,11782127,11859935,11912892,11916759,12136425,12902279,12945520,13146339,13251938,13397420,13555767,13598243,13611890,13813202,14231922,14354543,14448125,14563710,14921954,15187298,15452210,15534624,15599667,15895919,15980135,16007799,16076904,16225943,16281503,16334268,16371890,16602467,16831610,16994483,17337750,17476452,17565023,17638167,18045219,18086517,18206447,18288959,18493600,18511559,18542652,18792818,18931340,19176162,19265079,19646268,20082647,20197932,20449667,20506490,20602403,20805300,21277919,21696140,21698967,21834626,22050287,22192320,22717608,22817219,22918658,23259290,23376188,23671808,23717810,23721267,23912183,24181655,24333698,24571943,24604346,24607788,24755183,24861239,24966360,25092890,25247327,25441874,25557309,25849139,26009210,26035368,26140899,26257367,26630784,26702444,26723063,26843747,26900786,27597383,27911148,28087155,28461372,28706594,29017986,29035898,29037047,29213810,29289789,29959632,30111468,30156339,30742979,30825119,30944063,30950546,30976655,30987887,31211052,31500410,31573247,32016647,32343359,32560178,32740940,32913506,33353139,33596963,33704586,33803159,33986018,34485458,34581539,34980503,35056572,35344119,35378642,35757827,36008786,36067610,36683687,36710303,36867458,37171986,37800492,37876079,38122419,38348210,38685839,38942039,39157079,39289128,39756335,40089167,40100439,40302767,40642439,41009420,41172659,41638124,42072866,42427703,42639383,43047263,43258684,43281132,43363523,43511906,44040279,44169623,44200269,44268410,44311967,44768663,45095999,45527564,45643624,46017852,46256354,46448882,46514540,46781363,47120332,47176599,47707602,47820218,47836264,47852003,48654359,48852092,49139618,49143335,49211304,49264940,49641887,49718162,49909539,49992047,50298503,51082610,51349077,51350927,51693794,51999023,52165586,52443290,52478735,52510439,52759439,53122092,53682818,53815797,53984879,54182018,54513059,55339907,55343667,55362717,55579048,55784085,55817448,56217842,56281967,56393123,57205346,57274167,57519122,57659619,58626146,58972002,59117928,59199267,59503024,59871548,60358403,60453146,60497183,61288247,61299132,61333538,61496090,61580108,61798120,61882754,61923743,61947890,62195927,62526429,62546764,62565842,62650839,62794629,62858834,62931948,62974482,63260663,63302810,63503903,64066425,64729943,64942167,65050223,66024143,66265826,66340787,66389999,66409625,66507669,66923423,66940902,67188098,67290383,67314760,67705655,68337520,68474728,68482883,68492663,68794607,69522885,69685754,69729443,69954938,70247884,70258359,70685207,70864922,70990655,71417210,72262919,72415365,72523767,72779378,72900579,73143148,73152863,73448579,73795308,74157744,74337468,74432488,74436225,74552063,75251906,75396028,75729105,75775223,75923258,75948803,75963372,76316306,76573185,76689740,76879710,77034069,77189987,77243056,77364962,77504186,77533655,77541743,77810243,77877314,78161759,78783208,78880343,78971327,79040378,79057010,79398640,79691550,79750499,80316652,80389778,80391459,80402810,80511119,80544479,80598623,80777712,81246786,81678064,81733367,82005024,82126259,82289858,82338146,82557767,82838183,83119052,83427462,83714018,83736549,84040655,84104499,84138428,85004320,85188786,85439843,85700652,85793303,86086994,86226290,86509864,86898438,87440903,87619340,87924722,88012127,88462490,88631109,88684924,88815688,88899159,88936547,88997402,89029559,89266467,89323470,89352520,89529554,90709773,90874926,90962483,91029287,91062647,91359026,91658728,91707225,91834163,91887822,92027688,92255652,92445935,92504684,92629187,92817959,92928890,93040386,93292599,93987647,94386099,94472483,94652428,94868412,95019935,95278368,95604890,95629860,95662535,96483372,96567267,97099439,97323597,97540163,97821040,97832690,98278010,98740659,98774882,99345218,99363705,99613490,99724412,99829847,99858599,99917649,...,48312013131594474991834934075038407685763860475716472834284169088450205054608208200505571984672938003555321386564370899114569330043618176705084006719140860607010004864903409329915943186671705626273008233305783718437819911044713615213548999278341567901807586178627028450784645674234607850159103766704892406936553262756369618321831949205326932350835247587969047229650553107287332215268703303120977252771403085098862233580977604168266465035414318965840518129316384146372580249649754754642008587209788298969609322965336850920724172922614971699455647574281351571990500086552494487040927036779582988857378969059856477215029849306081507854450718120644881255446054978040289689612850368144098924900826550319996836220578110690785401325831600684865918262309290940498166317356140999539614644023675225755059947895825583060030607887451630313472706880653404989355759010919343139648975876373294967892275537161670555163758757841188463004536719731065241930227797020995546292536453410065714424263388643498763810843297899087850695438457653876575868873439483283914631668066710303022677296249667711647358455983198474652970605499939805363878193997791244040713598672283181170637476325025792626838532572637450855137100439407547232467536739751886278497352140270664131575570092783442366870750149546611409621116182266451581634202007461935818193736413156593474962315174752507295703313393851425660015095974454803252889919593172352131446935073447286000901878126142378476120645403122094905962070110899913505790117665750382481242474176765766683523287009486642410612493603938260870978106322954088694040515054296936995291886974633430580391835459187592235018801724506521728968944333926077224471636334728597421533942597289472126057288143821935296241811345229978736648360241604248958671030110218150210493304672439106237771825270446048944832851305471548914567547264864918558878348167070250301948132407011668653710020190318984941147073014990841569809079516616095009776646760948793598791021370555354327165640454913599356923023888229369384954067856856770332751020762976249271540981071602776887263417221566836885780005891264020383077763813473738410932507438111701157932459053579771125724908343440738856551717951381684896103490998426459492703556522538491706259840564613132685620526588251787648351218024439054724964433358445429416553060492485772769822546854354062719077232127435840295849381499810335547430917601729497231476108017613181008577237736744837185648094535832041575443327684229845765988107610056820887758666020177490144733793471514437912456050830834864817242691442546278229388609498104392172632846996108951148752326803020518868931196817767216595389956554299218482926310935182993745844094232543822479184149616945018175637061809163831931049148535391189833847877224194197737243629596037536624073635521221927862513643374907104022119289087196138216204997209687858252016904781761513857340233112284335244198994067290133187648222305526711874043383390247702109751289637960667229315902054530342152836452305560269986954271644294688973424256593386966626509058454684899558949126870931954739290851023259285686439019849758691418206162398011082622644947291493658971684001514711654716661455264318528034884820346746094563818377822248711017955219176747002421399902437176854330882248857969282136496374489987420514369489403770214784551078077122898153035130416157260827480867189819990770674811547601931890096366802655749639625819741382603532555618831201655877813998091980109280561355455098918414930839964194389644585080655154697157744757420556593027755090035492235195298185650064459130152068412168220590815479734397655707736918598222353081161174954334697935593264472203822415033267866249823090281714025078673768529706676579693117710780588}
23138  34382144225342295622817573916057474219748320467420400584785332484473092569247: {161917,231310,277572,878446,1545757,1571956,1709326,1821661,2234977,2510161,2922397,3367198,3643006,3826798,4340356,4469566,4507815,4808336,4893172,4928206,5019886,5340027,5409378,6332497,6357175,6549892,7489198,7549117,7628610,7929131,7945198,8137184,8855998,9028177,9128926,9154332,9563857,9855556,9964861,10405492,10491406,10741035,11031037,11258648,11296861,11327330,11457104,12053572,12663886,12665979,12885757,12889242,12934798,13466456,13592796,13676317,14067291,14569496,14891115,15149763,15510877,15883856,15889012,15905326,16084798,16181900,16353886,16390683,16712446,16746775,16942417,17201761,17528452,17869338,18054766,18074356,18590686,18975896,19036846,19137661,19418280,19877907,19927966,20096130,20417835,20712832,20719803,20728606,20799556,21172846,21343732,21347883,21435872,21439357,21779024,21845565,21947677,22328161,22382931,22591726,22780947,23117000,23178315,23301936,23517556,23653198,23664175,23969437,24060292,24115356,24501402,24557835,24723536,25247415,25417198,25568216,25681246,25686772,26006625,26195024,26214678,26346337,26472526,26735998,26930576,27120175,27740400,27813978,27957661,28189227,28327777,28397010,28764243,28820257,28931956,29220235,29362798,29469402,29589760,30046417,30290144,30296898,30412861,30670798,30759735,31207950,31628356,32235361,32544210,32582686,32751939,32810384,33102766,33288480,33378055,33441361,34041661,34076412,34377987,34400446,34640161,34713824,34854532,34879057,34888935,35064282,35177326,35507712,35576715,35594017,36500547,36906519,36911682,36985006,37214864,37252177,37370077,37449540,37605661,37639335,37948496,38014798,38162811,38186206,38271886,38443198,38690648,39013815,39042286,39053052,39596497,39938171,39946176,40053666,40148624,40208452,40323406,40351179,40926175,41335837,41614736,41856731,41866722,42025966,42256861,42601057,42692058,43059891,43298686,43526979,43552798,43553847,43820715,44470852,44821198,44879137,44939448,45167202,45669661,46425819,46742096,46792861,46816578,46927198,47016637,47125492,47179246,47250615,47514643,47574817,48353566,48631667,48840267,48855886,49111410,49370259,49441198,49562648,49569361,50400656,50556879,50748503,50829892,50979027,51261775,51728187,52047655,52065146,52300861,52355998,52385504,52584858,53067963,53467252,53703457,54013179,54073355,54101415,54453661,55301187,55306717,55731517,55757979,55827886,56049361,56650366,56700738,56788477,56893777,56909455,57054530,57522315,57553246,57708176,57838237,58143175,58720372,58900415,58933692,59795330,59915387,60820126,61046737,61065115,61226686,61251361,61357136,61514130,61557757,61581175,61795198,62270161,62457186,62902132,63010798,63109299,63610136,64384126,64464766,64888026,64921698,64984957,65128427,65267859,65615072,65779261,65833198,66402615,66470497,66546052,66876526,67277086,67587674,67597246,68037217,68077006,68291346,68465436,68935307,69026778,69194206,69200161,69384531,69392977,69433198,69473810,69672046,69673323,69771810,70387726,70448317,70680498,70829456,70829917,70925137,71468306,71561403,71656846,71730327,71754396,71778877,71873377,72062161,73278138,73709427,73791556,73816956,73897410,74378780,74423264,74577243,74839435,74859361,74968798,75135517,75204286,75319261,75502717,75696131,76365556,76379566,76623915,76879492,76975135,77247650,77321437,77411617,77540691,77707198,77713727,78183455,78248379,78488161,78629336,78664935,78823904,78932356,78933661,79418446,79683138,79819261,80201387,80271166,80524227,81012283,81273027,81732176,82586926,83118877,83368572,83509198,83534452,83726172,83739406,83909264,83965976,84046126,84143450,84275998,84326763,84429166,85232977,85421900,85567057,85593410,85652206,85808019,85882082,86066017,86278683,86589556,87175246,87465661,87809855,87939219,88441117,88458003,88676892,88843198,89254536,89486161,89807322,90123217,90281761,90352798,90679719,90834397,91428935,91695697,91948698,92000307,92244135,92370162,92380606,92697180,92739458,92824131,92856157,92921835,93009661,93040610,93392161,93502126,93576766,93620797,93677812,93707747,93820146,93848763,94245035,94288251,94397922,94461723,94954215,95128477,95162963,95363326,95862175,96166717,96553820,96698356,96753661,97200772,97583566,97697617,97841761,98393744,98479010,98674667,98688286,98700577,98771677,98876992,98908798,99116624,99129166,99248300,99267361,99275998,99297187,99398739,99829537,99969361,...,72468019697391712487752401112557611528645790713574709251426253632675307581912312300758357977009407005332982079846556348671853995065427265057626010078711290910515007297355113994873914780007558439409512349958675577656729866567070422820323498917512351852711379267940542676176968511351911775238655650057338610404829894134554427482747923807990398526252871381953570844475829660930998322903054954681465879157104627648293350371466406252399697553121478448760777193974576219558870374474632131963012880814682448454413984448005276381086259383922457549183471361422027357985750129828741730561390555169374483286068453589784715822544773959122261781676077180967321883169082467060434534419275552216148387351239825479995254330867166036178101988747401027298877393463936410747249476034211499309421966035512838632589921843738374590045911831177445470209060320980107484033638516379014709473463814559942451838413305742505832745638136761782694506805079596597862895341695531493319438804680115098571636395082965248145716264946848631776043157686480814863803310159224925871947502100065454534015944374501567471037683974797711979455908249909708045817290996686866061070398008424771755956214487538688940257798858956176282705650659111320848701305109627829417746028210405996197363355139175163550306125224319917114431674273399677372451303011192903727290604619734890212443472762128760943554970090777138490022643961682204879334879389758528197170402610170929001352817189213567714180968104683142358943105166349870258685176498625573721863711265148650025284930514229963615918740405907391306467159484431133041060772581445405492937830461950145870587753188781388352528202586759782593453416500889115836707454502092896132300913895934208189085932215732902944362717017844968104972540362406373438006545165327225315739957008658659356657737905669073417249276958207323371851320897297377838317522250605375452922198610517502980565030285478477411720609522486262354713619274924142514664970141423190398186532055833031490748460682370399035384535832344054077431101785285155499126531144464373907311471607404165330895125832350255328670008836896030574616645720210607616398761157167551736898688580369656688587362515161108284827576927072527344155236497639689239055334783807737559389760846919699028430789882377681472526827036658582087446650037668144124829590738728659154733820281531094078615848191153760443774072249715503321146376402594245847214162026419771512865856605117255778472141803748062363164991526344768648982161415085231331637999030266235217100690207271656868684076246252297225864037163819417344082914247156588258949270494163426723128490204530778303396795226650824893084934831448827724389466402774490618766141348815733718776224425417527263455592713745747896573722803086784750771815836291296605865444394056304936110453281832891793770465062360656033178933630794207324307495814531787378025357172642270786010349668426502866298491100935199781472333458290067811065075085371553164626934456941000843973853081795513229254678458340404980431407466442033460136384890080449939763587682027349338423690306397932108936276534888928529658529774638037127309243597016623933967420937240488457526002272067482074992182896477792052327230520119141845727566733373066526932828765120503632099853655765281496323373286953923204744561734981130771554234105655322176826617115684347229552695624235891241221300784729986156012217321402897835144550203983624459438729612073905298833428246802483816720997137970163920842033182648377622396259946291584466877620982732045736617136130834889541632635053238352792947278475096688695228102618252330886223219601596483561605377897333529621741762431502046903389896708305733622549901799374734635422571037618010652794560014869539676566170882}
23139  34505233979935048249016659612061352291496060171974530937184797664014643769734: {346965,370096,416358,1317669,1964945,2357934,2563989,2797157,4207294,5050797,5425445,5464509,5740197,6010420,6116465,6510534,6704349,7120036,7212504,7339758,7368581,7392309,7529829,8114067,8187365,9031709,9824838,9851317,10024966,10171480,10412237,11233797,11442915,11783149,11917797,11932877,12205776,12319445,12748309,13006865,13283997,13693389,13731498,13898374,14073310,14321380,14783334,15066965,15399029,15608238,15737109,16087457,16603909,16677478,16833070,16887972,16990995,17185656,18007517,18080358,18123728,18211870,18756388,18995829,19056646,19333863,19402197,19411121,19854820,19861265,20084389,20199684,20227375,20389194,21633094,21854244,21877297,21910565,22209694,22372189,22555181,22592945,22920646,23132189,23564254,23719870,23825784,23833518,23857989,24127197,24272850,24530829,25068669,25582997,25804558,25891040,25999445,26292678,26462437,26503876,26679665,26725381,26794840,26804007,27082149,27095717,27111534,27196486,27223780,27626404,27886029,28113797,28463844,28555269,28709086,28896250,29039569,29127420,29346469,29396945,29843908,29891949,30075365,30144195,30374596,30904420,31069248,31092909,31199334,31288349,31434869,31759269,31791838,31960270,32015598,32108465,32153808,32451886,32508029,32563006,32615089,32668536,32743780,33204934,33663220,33854317,33887589,33988966,34584541,34675500,34952904,35130046,35276334,35438609,35479797,36090438,36164945,36173034,36412894,36577918,36686869,36752103,36987200,37023118,37085304,37585636,37862680,38125797,38352324,38521869,38530158,38758817,39292536,39322017,39527057,39535445,39708789,40103997,40165294,40395864,40899334,41012980,41204806,41610600,41720967,42179357,42555838,42595515,42624997,43367317,43392280,43397934,43568165,43669252,44044197,44100574,44204103,44384640,45044269,45435216,45445347,45634438,45837316,46006197,46518580,46752376,46811925,47136269,47343616,47435620,47437301,47442534,47655781,47824366,47856157,48190637,48363310,48658597,48667396,48816315,48874029,49143886,49208692,49215576,49510366,49654149,49722478,49932720,50185780,50260565,50494654,50883748,51114618,51600669,51698278,52003537,52018420,52070736,52281798,52514734,52596423,52765989,53261568,53404888,53446126,53687494,53801572,55194766,55367523,55425989,55477509,55482109,55588565,55658869,55731341,55822296,56174310,56398021,56922744,57022197,57183797,57279309,57390149,57407829,57413188,57664797,58035972,58071796,58074094,58190609,58427620,58563429,58579578,58906865,59417201,59784797,59919264,60080499,60222936,60312678,60485109,61485958,61650238,61888126,61901092,61953310,61975774,62201329,62422104,62800083,63000820,63038949,63146494,63163397,63537365,64033294,64038087,64656317,64686718,64948029,65120356,65329197,65481880,65827012,66346549,66706278,66834065,67031597,67193926,67231797,67409172,67606318,67639781,67750803,67972036,68498629,68800669,68970916,69163078,69194077,69815549,69961006,70113144,70224867,70390797,70688238,70757284,70768869,71378309,71515654,72005429,72017572,72135220,72530349,73283829,73367374,73400465,73420606,73470229,73667115,73734916,74161797,74343972,75600984,75752158,76244838,76696420,76821077,77371678,77884078,78056957,78097719,78188749,78314158,78533997,78578256,78627665,78877287,79512670,79541957,80136101,80178334,80200878,80605534,81284878,82018840,82345318,83182565,83276248,83741829,84145732,84855406,84975549,85051107,85278766,85581795,85646257,86094526,86329869,86517368,86562264,86664301,86727046,87023812,88080558,88339246,88400538,88536820,88623934,89537326,89692995,89914781,90191998,91055128,91230189,91271729,91287248,91290197,91840029,92035704,92239445,92271195,92512708,92692797,92730769,92897764,92973475,93029080,93562726,93685779,94045957,94240664,94353198,94431629,94516197,94787917,95415204,95456945,95640436,95672528,95704006,96099365,96221549,96576189,96697149,97300181,97308718,97332039,97382547,97590557,97704184,98279236,98286670,98422608,98529880,98665445,98749797,99214481,99283774,99386917,99436324,99819078,99984094,...,108702029546087568731628601668836417292968686070362063877139380449012961372868468451137536965514110507999473119769834523007780992598140897586439015118066936365772510946032670992310872170011337659114268524938013366485094799850605634230485248376268527779067068901910814014265452767027867662857983475086007915607244841201831641224121885711985597789379307072930356266713744491396497484354582432022198818735656941472440025557199609378599546329682217673141165790961864329338305561711948197944519321222023672681620976672007914571629389075883686323775207042133041036978625194743112595842085832754061724929102680384677073733817160938683392672514115771450982824753623700590651801628913328324222581026859738219992881496300749054267152983121101540948316090195904616120874214051317248964132949053269257948884882765607561885068867746766168205313590481470161226050457774568522064210195721839913677757619958613758749118457205142674041760207619394896794343012543297239979158207020172647857454592624447872218574397420272947664064736529721222295704965238837388807921253150098181801023916561752351206556525962196567969183862374864562068725936495030299091605597012637157633934321731308033410386698288434264424058475988666981273051957664441744126619042315608994296045032708762745325459187836479875671647511410099516058676954516789355590935906929602335318665209143193141415332455136165707735033965942523307319002319084637792295755603915256393502029225783820351571271452157024713538414657749524805388027764747938360582795566897722975037927395771344945423878110608861086959700739226646699561591158872168108239406745692925218805881629783172082528792303880139673890180124751333673755061181753139344198451370843901312283628898323599354416544075526767452157458810543609560157009817747990837973609935512987989034986606858503610125873915437310985057776981345946066757476283375908063179383297915776254470847545428217716117580914283729393532070428912386213771997455212134785597279798083749547236122691023555598553076803748516081116146652677927733248689796716696560860967207411106247996342688748525382993005013255344045861924968580315911424598141735751327605348032870554485032881043772741662427241365390608791016232854746459533858583002175711606339084641270379548542646184823566522208790240554987873131169975056502216187244386108092988732100730422296641117923772286730640665661108374573254981719564603891368770821243039629657269298784907675883667708212705622093544747487289517152973473242122627846997456998545399352825651035310907485303026114369378445838796055745729126016124371370734882388423905741245140084692735306796167455095192839976237339627402247173241586584199604161735928149212023223600578164336638126290895183389070618621844860584204630177126157723754436944908798166591084457404165679922749337690655697593540984049768400446191310986461243721797681067038035758963406179015524502639754299447736651402799672208500187435101716597612628057329746940401685411501265960779622693269843882017687510607470647111199663050190204577335120674909645381523041024007635535459596898163404414802333392794487794661957055690963865395524935900951131405860732686289003408101223112488274344716688078490845780178712768591350100059599790399243147680755448149780483647922244485059930430884807116842602471696157331351158482983265239925673526520844329043436353836861831951177094979234018325982104346752716825305975436689158094418110857948250142370203725725081495706955245881263049773972566433594389919437376700316431474098068604925704196252334312448952579857529189420917712645033042842153927378496329334829402394725342408066846000294432612643647253070355084845062458600433824852699062101953133856556427015979191840022304309514849256323}
23140  34628761505416539343112497072106868844785815865152531239108208544256228762543: {323834,462620,531691,555144,624537,947059,1223611,1361779,1756892,1913731,2326939,2602051,3091514,3143912,3151411,3418652,3536901,3643322,3836491,4110019,4469954,4519771,5020322,5337331,5473339,5844794,6016651,6152299,6310941,6423379,6734396,7286012,7513025,7653596,8043811,8680712,8850139,8900045,8939132,9015630,9118339,9520099,9616672,9765801,9786344,9787579,9856412,10039772,10054771,10188259,10455019,10680054,10818756,11009637,11386411,11784499,12664994,12714350,12842899,13099784,13502059,14737257,14814979,14978396,15037449,15098234,15257220,15858262,15890396,16274368,16640971,17289691,17711996,17807371,17901725,18056354,18257852,18308664,19096531,19127714,19225051,19610179,19711112,19929722,20250619,20597247,20810984,20847561,20982812,21016771,21109965,21482070,21780331,22062074,22175001,22517296,22593722,22654660,22794379,22914208,23173459,23412357,23425819,23445485,24107144,24306811,24432379,24818525,25016217,25249605,25327772,25331958,25559251,25771514,25778484,25869596,26928619,26932912,27120537,27185592,27317805,27352634,27548179,27919051,28134582,28165939,28412539,28584969,28781899,29138992,29763691,29782230,29886091,30299526,30583791,30984451,31021754,31227739,31767712,31778024,31810652,32169596,32318971,32363800,32449641,32707772,32781366,32922691,33129845,33314541,33424892,33493550,33524611,33884834,33884899,34029725,34124731,34380969,34403522,34533005,34842499,35056904,35200411,35346381,35579805,35738676,35750277,36109532,36148712,36409275,36862099,37098331,37181372,37304885,37951792,37968245,38073692,38275322,38630525,38706837,38836560,38860891,39439017,39755814,39794299,39855932,40192260,40607251,40667301,40794729,40835670,40908329,40929725,41301259,41425664,41439606,41457212,41599112,42079025,42222571,42345692,42687464,42695766,42871744,42878714,43024939,43063629,43344375,43558048,43691130,43823779,43895354,44656322,44732419,44765862,45183452,45561894,46234000,46356630,46603872,46729277,46760011,46799001,46871971,46982045,47035112,47306396,47319091,47328350,47687757,47938874,47940405,48023397,48120584,48230712,48542731,48677829,48844509,48874939,49002804,49115670,49427179,49447072,49647571,49807401,50197291,50494830,50635771,50834396,50854579,50983449,51136432,51182251,51266225,51362492,51373544,52013250,52390048,52429356,52692674,52695069,52914501,52945052,53104601,53242459,53471996,53861152,53994931,54135657,54240350,54259551,54423331,54530251,54586565,54619341,54866877,55170259,55480800,55534677,55627956,55701619,55913659,55915322,56153669,56378454,56655554,56794020,57296645,57528486,57640514,57704371,57795237,57863912,58148225,58331419,58440470,58725596,58851979,58938804,59179520,59294525,59370739,59681131,59784451,60092834,60247941,60580288,60593796,60608419,60813691,60825722,60834245,61341596,61349001,61510865,61519470,61807209,61937539,62415900,62445499,62732225,63254491,63256712,63604685,63657259,63833757,63858211,64159099,64470722,64659139,65023025,65088420,65096901,65165372,65455459,65503878,65620768,66150861,66205532,66247171,66576960,66756110,66882722,66936139,67251965,67328251,68083322,68152824,68451657,68755974,68800892,69280322,69427648,69656731,69709064,69758114,69777870,70040779,70128564,70354652,71015424,71153430,71163801,71188034,71470699,71565451,71736549,71766485,72226699,72544965,72589745,72866717,72884419,72978091,73001094,73034525,73715829,73813038,73817899,73823364,73970012,74265549,74281939,74429728,74504354,74583717,74740154,74744179,74899080,75211322,75278670,75480019,75702697,75741981,75896992,76029596,76325622,76372412,76543772,76575139,76671927,76847299,76886396,77376365,77381296,77547417,78027630,78084572,78106104,78422697,78466651,78645139,78751025,78772101,79192994,79673237,79876342,79892352,79974619,80107332,80150659,80169189,80297248,80416904,80531241,80589499,80646812,80702358,81400445,81548611,81852350,82283765,82326859,82412971,82460581,82584979,82671674,82756699,82792149,83229472,83713462,83733444,84051932,84204691,84261465,84513722,84542371,84965045,85202114,85384116,85491161,85798411,86119782,86213645,86379019,86597372,86599337,87053958,87105596,87107694,87111141,87641430,87855811,87869367,88018459,88446605,88941704,88988299,89229139,89642396,89758274,89878896,90021965,90169025,90334404,90469017,90818179,90975499,91339322,91367539,91757779,91991059,92168645,92228937,92475357,92687011,92832189,92851638,92929965,92963661,93484192,93585722,93633156,93681979,93758011,93854396,94033274,94250984,94358492,94501230,94589611,94719741,94964731,95029286,95149634,95188939,95709571,95741789,95870525,96049941,96667099,96707132,96813331,97030077,97263334,97395379,97680534,97711772,98222820,98740518,98830339,98882396,98901331,99043099,99125296,99138722,...,144936039394783424975504802225115223057291581427149418502852507265350615163824624601516715954018814010665964159693112697343707990130854530115252020157422581821030014594710227989747829560015116878819024699917351155313459733134140845640646997835024703705422758535881085352353937022703823550477311300114677220809659788269108854965495847615980797052505742763907141688951659321861996645806109909362931758314209255296586700742932812504799395106242956897521554387949152439117740748949264263926025761629364896908827968896010552762172518767844915098366942722844054715971500259657483461122781110338748966572136907179569431645089547918244523563352154361934643766338164934120869068838551104432296774702479650959990508661734332072356203977494802054597754786927872821494498952068422998618843932071025677265179843687476749180091823662354890940418120641960214968067277032758029418946927629119884903676826611485011665491276273523565389013610159193195725790683391062986638877609360230197143272790165930496291432529893697263552086315372961629727606620318449851743895004200130909068031888749003134942075367949595423958911816499819416091634581993373732122140796016849543511912428975077377880515597717912352565411301318222641697402610219255658835492056420811992394726710278350327100612250448639834228863348546799354744902606022385807454581209239469780424886945524257521887109940181554276980045287923364409758669758779517056394340805220341858002705634378427135428361936209366284717886210332699740517370352997251147443727422530297300050569861028459927231837480811814782612934318968862266082121545162890810985875660923900291741175506377562776705056405173519565186906833001778231673414909004185792264601827791868416378171864431465805888725434035689936209945080724812746876013090330654450631479914017317318713315475811338146834498553916414646743702641794594755676635044501210750905844397221035005961130060570956954823441219044972524709427238549848285029329940282846380796373064111666062981496921364740798070769071664688108154862203570570310998253062288928747814622943214808330661790251664700510657340017673792061149233291440421215232797522314335103473797377160739313377174725030322216569655153854145054688310472995279378478110669567615475118779521693839398056861579764755362945053654073317164174893300075336288249659181477457318309467640563062188157231696382307520887548144499431006642292752805188491694428324052839543025731713210234511556944283607496124726329983052689537297964322830170462663275998060532470434201380414543313737368152492504594451728074327638834688165828494313176517898540988326853446256980409061556606793590453301649786169869662897655448778932805548981237532282697631467437552448850835054526911185427491495793147445606173569501543631672582593211730888788112609872220906563665783587540930124721312066357867261588414648614991629063574756050714345284541572020699336853005732596982201870399562944666916580135622130150170743106329253868913882001687947706163591026458509356916680809960862814932884066920272769780160899879527175364054698676847380612795864217872553069777857059317059549276074254618487194033247867934841874480976915052004544134964149984365792955584104654461040238283691455133466746133053865657530241007264199707311530562992646746573907846409489123469962261543108468211310644353653234231368694459105391248471782482442601569459972312024434642805795670289100407967248918877459224147810597666856493604967633441994275940327841684066365296755244792519892583168933755241965464091473234272261669779083265270106476705585894556950193377390456205236504661772446439203192967123210755794667059243483524863004093806779793416611467245099803598749469270845142075236021305589120029739079353132341764}
23141  34752728348483837271012225654614604223318522742834479496589290560802817317521: {485751,578275,693930,740192,832716,2196115,2635338,2750923,3305731,3929890,4273315,4637271,4715868,5127978,5464983,5594314,6704931,7530483,7595623,7876759,8414588,8417995,8563051,8708323,8767191,9107515,9566995,10094263,10101594,10850890,10920151,10929018,11173915,11462311,11480394,12020840,12232930,12305371,12320515,12549715,13021068,13408698,13523445,14102491,14240072,14425008,14521723,14679516,14737162,14784618,14973079,15059658,16020081,16228134,16374730,16461031,16872211,16997431,17247223,17980099,18009079,18063418,18209611,18514771,18722995,18997491,19071525,19641931,19649676,19702634,19862995,20049932,20342960,20749819,20786971,20824474,21093751,21281611,22139995,22467594,22557139,22647351,22822315,22885830,23566298,23787393,23835594,23865754,23916331,24411552,24638890,24939751,25496618,25585219,25853623,26013730,26089591,26228515,26261923,26567994,26656123,27084531,27386778,27431419,27462996,27602179,27796748,27805771,27824971,28146620,28318325,28610131,28642760,28691571,29566668,29894583,30133930,30234451,30674791,30798058,31216476,31291063,31474218,31630123,31659715,32022211,32135191,32174914,32223105,32336995,32348971,32510851,33093111,33207818,33354956,33602791,33666140,33775944,33890583,33981990,34371312,34650451,34986571,35441683,36015034,36160716,36247456,36332503,36399223,36423740,37351531,37512776,37882651,37971523,37991658,37997937,38113292,38657271,38667726,38762179,38804394,38822242,39443683,39674371,39709640,39722530,39763315,40096123,40168778,40211995,40309771,40399368,40454750,40649491,40778388,40884715,41028951,41155723,41781115,41861863,41867923,42105511,42183031,42201873,43266188,43708488,43754594,43821130,44177299,44204131,44419388,44423131,44673345,44744378,44951851,45110362,45136915,45185890,45449289,45841292,46264378,46476715,46532631,47128508,47140363,47439740,47441419,47592115,47651568,47667036,47715978,48254394,48545700,48695251,48773563,49061658,49172049,49819915,49848331,50137338,50240325,50630923,50708839,50827251,51165994,51205411,51359851,51605283,51609116,51782080,51821515,51998890,52585356,52924874,52932115,53007752,53359330,53450762,53468491,53589680,53608014,54164298,54191434,54223068,54392972,54447560,55252808,55349623,55430803,55736179,55772058,56190871,56227594,56479315,56630071,56927688,56952571,57110538,57395131,57412983,57418172,57620539,57687619,57792500,58079138,58254840,58449943,58692938,58793890,58971691,59132995,59248471,59633721,59687816,59783898,60150730,60288390,60749192,60995431,61253505,61808840,62138496,62159409,62185818,62398668,62576698,62869738,63514939,63518538,63542995,63583676,63624931,63920540,64031196,64043649,64203115,64216930,64307616,64318071,64903772,65016058,65036563,65126012,65230178,65337072,65487560,65536695,65843031,66181315,66409868,66839995,66984483,67037419,67148793,67326440,67399219,67580851,67645699,67708634,67775178,67977932,68142679,68342841,68919811,69169082,69351000,69534945,69633091,69905808,70260092,70301431,70364791,70552668,70595611,70697491,70877218,70959594,70992525,71908311,72011683,72180876,72329890,72346068,72512023,72712483,72825788,73155836,73373738,73406995,73504206,73673505,73974400,74046236,74170608,74446291,74565019,74647651,75171272,75725360,75742245,76251594,76300951,76412011,76676995,76704648,77043738,77060316,77517634,77823991,78019875,78029143,78326851,78558931,78585072,78644034,78985051,79039011,79054114,79070890,79417578,79937923,80207994,80330588,80791728,81360525,81456715,81747571,81798668,82025960,82409612,82469611,82756915,82852579,82912171,83221200,83441934,83872983,83967139,84358714,84567681,84983331,85111676,85191030,85249994,85962211,86001115,86292729,86460771,86612971,86734634,86784560,86795868,86817691,86962711,87136330,87338504,87660705,87943315,88088394,88201148,88408206,88443091,88769280,88952311,89765911,90088538,90139251,90870432,90890694,91238583,91268876,91482931,91674632,92012394,92249131,92279205,92462515,92604163,93037160,93504752,93567691,93623850,94004131,94272538,94687232,94848919,94871240,94874602,94885068,95036995,95311562,95465515,95486731,95648732,95679715,95712314,96107995,96381274,96393079,96706083,96726620,97308739,97317194,97334792,97566331,97605715,97632630,97748058,98255817,98287772,98417384,98431152,99020732,99223123,99308298,99444956,99865440,...,217404059092175137463257203337672834585937372140724127754278760898025922745736936902275073931028221015998946239539669046015561985196281795172878030236133872731545021892065341984621744340022675318228537049876026732970189599701211268460970496752537055558134137803821628028530905534055735325715966950172015831214489682403663282448243771423971195578758614145860712533427488982792994968709164864044397637471313882944880051114399218757199092659364435346282331581923728658676611123423896395889038642444047345363241953344015829143258778151767372647550414084266082073957250389486225191684171665508123449858205360769354147467634321877366785345028231542901965649507247401181303603257826656648445162053719476439985762992601498108534305966242203081896632180391809232241748428102634497928265898106538515897769765531215123770137735493532336410627180962940322452100915549137044128420391443679827355515239917227517498236914410285348083520415238789793588686025086594479958316414040345295714909185248895744437148794840545895328129473059442444591409930477674777615842506300196363602047833123504702413113051924393135938367724749729124137451872990060598183211194025274315267868643462616066820773396576868528848116951977333962546103915328883488253238084631217988592090065417525490650918375672959751343295022820199032117353909033578711181871813859204670637330418286386282830664910272331415470067931885046614638004638169275584591511207830512787004058451567640703142542904314049427076829315499049610776055529495876721165591133795445950075854791542689890847756221217722173919401478453293399123182317744336216478813491385850437611763259566344165057584607760279347780360249502667347510122363506278688396902741687802624567257796647198708833088151053534904314917621087219120314019635495981675947219871025975978069973213717007220251747830874621970115553962691892133514952566751816126358766595831552508941695090856435432235161828567458787064140857824772427543994910424269571194559596167499094472245382047111197106153607497032162232293305355855466497379593433393121721934414822212495992685377497050765986010026510688091723849937160631822849196283471502655210696065741108970065762087545483324854482730781217582032465709492919067717166004351423212678169282540759097085292369647133044417580481109975746262339950113004432374488772216185977464201460844593282235847544573461281331322216749146509963439129207782737541642486079259314538597569815351767335416425411244187089494974579034305946946484245255693994913997090798705651302070621814970606052228738756891677592111491458252032248742741469764776847811482490280169385470613592334910190385679952474679254804494346483173168399208323471856298424046447201156328673276252581790366778141237243689721168409260354252315447508873889817596333182168914808331359845498675381311395187081968099536800892382621972922487443595362134076071517926812358031049005279508598895473302805599344417000374870203433195225256114659493880803370823002531921559245386539687764035375021214941294222399326100380409154670241349819290763046082048015271070919193796326808829604666785588975589323914111381927730791049871801902262811721465372578006816202446224976548689433376156981691560357425537182700200119199580798486295361510896299560967295844488970119860861769614233685204943392314662702316965966530479851347053041688658086872707673723663902354189958468036651964208693505433650611950873378316188836221715896500284740407451450162991413910491762526099547945132867188779838874753400632862948196137209851408392504668624897905159715058378841835425290066085684307854756992658669658804789450684816133692000588865225287294506140710169690124917200867649705398124203906267713112854031958383680044608619029698512646}
23142  34877136061262694232517171300609442874456182650884464186692557285395189261322: {254441,647668,925240,993257,1040895,1063382,1110288,1249074,1407941,1638041,1821977,1894118,1913897,2051717,2327141,2373017,2447222,2602277,2723558,3014441,3197417,3425957,3513784,3827462,3953007,4110377,4155941,4565657,4653878,5204102,5519141,5894835,6183028,6198041,6287824,6302822,6423941,6469097,6837304,7073802,7286644,7550441,7672982,7691967,8179097,8220038,8391471,8492837,8939908,9039542,9119141,9565541,9832997,10040644,10055657,10500377,10518235,10674662,10946678,11121641,11298857,11387417,11689588,11785541,11829737,12033302,12304598,12460063,12621882,12844037,12846758,12888041,13371557,13468792,13503257,13547141,14204441,14423141,14572024,14816297,14859941,15026050,15121637,15152391,15307192,15731141,15904997,16087622,16276335,16393527,16425797,16815641,17031941,17220591,17291237,17361424,17700278,17800090,17878264,18031260,18236678,18349395,18712217,19040198,19141097,19226777,19233344,19531602,19572688,19575158,19654697,19712824,20079544,20109542,20113047,20376518,20910038,21146117,21360108,21528041,21637512,21782297,22019274,22105743,22176927,22332197,22416677,22543337,22589487,22772822,22796441,22838597,23175557,23217641,23469977,23568998,23596037,24057641,24309017,24342201,24562095,24852677,25062415,25311641,25329988,25428700,25685798,25935941,26199568,26599877,26972441,27004118,27095127,27344357,27962777,28045097,28209641,28415141,28456217,28825541,29474514,29553951,29629958,29956792,30074898,30196468,30514440,31027877,31236711,31635497,31716524,31780792,32079941,32321957,32548736,32823679,33086441,33281942,33327257,33527717,33701391,34047977,34127897,34328745,34579382,34726277,34745935,34845737,34885541,35183275,35349447,35423992,35614742,35753391,35798631,35803450,36112708,36515704,36617328,36628997,36904937,36958335,37259141,37612697,38193062,38244927,38255428,38435141,38450102,38864537,39020595,39220358,39422224,39836837,39851991,39859444,40501238,40958441,41080167,41194494,41305157,41343641,41621968,41693695,41695122,41766437,41881577,41965624,42033542,42082675,42149957,42219930,42264857,42341417,42964140,43295717,43560662,43827941,43865897,44124148,44350002,44396441,44736677,44774441,44963141,45034592,45187444,45200895,45309320,45339941,45529675,45588758,45678377,45828416,46128617,46197087,46315877,46346918,46381783,46465541,46801817,46824714,46851638,46876457,46890970,47211327,47360837,47641615,47806757,48214288,48262371,48346207,48547397,48613622,48864758,49248041,49468697,49578917,49637050,49652357,49762457,49811727,49982441,50032434,50202137,50499210,50655544,50663916,50972985,51118502,51543028,51556968,51659417,51739192,52166441,52226839,52383257,52491557,53031977,53155543,53247641,53283557,53570597,53785541,53857238,53865824,54000197,54022551,54082735,54241074,54371184,54464297,54535577,54635610,54705268,55096358,55175657,55388441,55524235,55742441,55838102,56060357,56130917,56269164,56331878,56764517,56825078,56975141,56987487,57169938,57290537,57301615,57563798,58001589,58206591,58233363,58277984,58857797,58910635,59299675,59527382,59564460,59583795,59772182,59893637,60253167,60408857,60599052,60682125,60751337,61127141,61167582,61773977,61968902,62043508,62451737,62455478,62485541,62759983,63193577,63294437,63495941,63535424,63556048,63621304,64299077,64339192,64511395,64637942,64665641,64698917,64727600,64899282,65415544,65462057,65495141,65562732,65631891,65731695,65774863,65845382,65858537,65957477,66259690,66363427,66629082,66849784,66942917,66975641,66987100,67049222,67116567,67660997,67665543,67769668,67769798,67778835,67991215,68059450,68115941,68249462,68761938,68807044,69066010,69278597,69375017,69396567,69684998,69695897,69888041,70079897,70113808,70400822,70692762,71159610,71288297,71477352,71478041,71500554,71509637,71573967,71772715,71951141,72076997,72219064,72234137,72240625,72297424,72381591,72547817,72818550,72891941,73016837,73592487,73724198,73856537,74011397,74196662,74320517,74362744,74609770,75206007,75212441,75396137,75487877,75518441,75903584,75936490,76147384,76421191,76550644,76583141,76613417,76748991,76885541,77261050,77413674,77668037,77673120,77721782,77937641,77998335,78236441,78504677,78564197,78878034,79387311,79479595,79511628,79588598,79711864,79900675,79983077,80012441,80038995,80176143,80188457,80215303,80384520,80412021,80627237,80773097,81129715,81214502,81246447,81287151,81334602,81407515,81586217,81589458,81671340,81730757,81816658,81859450,82602518,82794137,82851328,82879212,82914424,83012335,83051141,83193641,83198224,83364377,83619941,83658087,84158050,84341391,84445142,84579557,84691384,84972415,85167943,85335017,85374928,85391532,85585541,85665807,85743488,85757428,85835417,85973957,86049878,86115211,86127258,86553641,86688750,86718617,87075077,87116096,87118707,87382260,87647558,87790708,87825115,87892517,88039407,88055141,88190835,88217477,88460441,89046559,89238917,89312644,89464838,89505797,89531724,89638937,89675847,89798441,89957657,90063641,90226095,90354437,90366904,90432585,90617957,90696857,90828197,90854441,90985541,91011737,91032235,91123788,91444795,91767941,92001257,92027141,92468000,92557795,92697317,92713260,92928041,93207744,93278727,93458554,93520022,93598002,93692441,93717797,93743942,93865047,93964090,94070224,94071941,94152751,94298777,94304607,94600217,94612792,94638182,94656700,95199641,95277807,95375514,95571941,95720357,95877748,95880810,95967077,96046794,96241168,96325395,96461424,96824297,97085462,97261337,97355658,97524087,97689018,97749878,97791977,97845267,97864037,97912037,98005608,98127641,98231340,98509337,98841641,98854358,98865317,98894144,98936297,99295142,99337157,99548441,99614802,99899141,99992357,...,326106088638262706194885805006509251878906058211086191631418141347038884118605405353412610896542331523998419359309503569023342977794422692759317045354200809097317532838098012976932616510034012977342805574814040099455284399551816902691455745128805583337201206705732442042796358301083602988573950425258023746821734523605494923672365657135956793368137921218791068800141233474189492453063747296066596456206970824417320076671598828135798638989046653019423497372885592988014916685135844593833557963666071018044862930016023743714888167227651058971325621126399123110935875584229337787526257498262185174787308041154031221201451482816050178017542347314352948474260871101771955404886739984972667743080579214659978644488902247162801458949363304622844948270587713848362622642153951746892398847159807773846654648296822685655206603240298504615940771444410483678151373323705566192630587165519741033272859875841276247355371615428022125280622858184690383029037629891719937474621060517943572363777873343616655723192260818842992194209589163666887114895716512166423763759450294545403071749685257053619669577886589703907551587124593686206177809485090897274816791037911472901802965193924100231160094865302793272175427966000943819155872993325232379857126946826982888135098126288235976377563509439627014942534230298548176030863550368066772807720788807005955995627429579424245997365408497123205101897827569921957006957253913376887266811745769180506087677351461054713814356471074140615243973248574416164083294243815081748386700693168925113782187314034836271634331826583260879102217679940098684773476616504324718220237078775656417644889349516247586376911640419021670540374254001021265183545259418032595354112531703936850886694970798063249632226580302356472376431630828680471029453243972513920829806538963967104959820575510830377621746311932955173330944037838200272428850127724189538149893747328763412542636284653148352742742851188180596211286737158641315992365636404356791839394251248641708368073070666795659230411245548243348439958033783199746069390150089682582901622233318743989028066245576148979015039766032137585774905740947734273794425207253982816044098611663455098643131318224987281724096171826373048698564239378601575749006527134819017253923811138645627938554470699566626370721664963619393509925169506648561733158324278966196302191266889923353771316860191921996983325123719764945158693811674106312463729118888971807896354723027651003124638116866280634242461868551458920419726367883540992370995636198058476953105932722455909078343108135337516388167237187378048373114112204647165271717223735420254078205920388502365285578519928712018882206741519724759752598812485207784447636069670801734493009914378872685550167211855865534581752613890531378473171263310834726394499773253372212497039768248013071967092780622952149305201338573932959383731165393043201114107276890218537046573507919262898343209954208399016625500562305305149792837884171989240821205056234503797882338868079809531646053062531822411941333598989150570613732005362024728936144569123072022906606378790694490213244407000178383463383985871167072891596186574807702853394217582198058867010224303669337464823034150064235472537340536138305774050300178799371197729443042266344449341450943766733455179791292654421350527807415088471994053475448949795719777020579562532987130309061510585495853531284937702054977946313040258150475917926310067474283254332573844750427110611177175244487120865737643789149321917699300783169758312130100949294422294205814777112588757002937346857739572587568262753137935099128526461782135488988004488207184176027224200538000883297837930941759211065254535187375801301474558097186305859401569669281047937575520066912928544547768969}
23143  35001986201326474592784358264395543515937044546710043955528260703803135824707: {23143,809585,971502,1156550,1387860,1480384,1595073,1665432,1873611,2841177,3074561,3670833,3906773,4085337,4392230,5270676,5501846,5741193,5982641,6611462,6980817,7728785,7806153,7859780,8546630,9108305,9274542,9308897,9431736,9454233,10255956,10610703,10929966,11174885,11188628,11509473,11785193,12330057,12550805,12750521,12905633,13393793,13409862,13559313,14611985,15060966,15191246,15480641,15643481,15753518,16011993,16230161,16420017,16829176,16835990,17126102,17248721,17416646,17534382,17569601,17695457,18049953,18215030,18456897,18516377,18857177,18932823,19133990,19270137,20033057,20087873,20188526,20203188,21283457,21701780,21840302,21858036,21881093,22180841,22347830,22539075,22924622,22960788,23232497,24041680,24131433,24465860,24610742,24641030,25099430,26042136,26091857,26212193,26264201,26550417,26658437,26700135,26730017,26817396,27046890,27355017,27808193,28204982,28480144,28560297,28608773,28769537,28850016,29043446,29297403,29323241,29351561,29359032,29362737,29474324,29569236,29946158,30119316,30164313,30237077,30564777,30833153,30995993,31098497,31365057,31662485,31785875,31951241,32040162,32351777,32456268,32620757,32749460,32922062,33028911,33744422,33811973,33994862,34159233,34494446,35156297,35353497,35524673,35960198,36018158,36126836,36335657,36419222,36693233,36719921,37029542,37445990,37745585,37885937,37974821,37977953,37994982,38143050,38528697,39283862,39299352,39405268,39645655,39725990,40099601,40099864,40506177,40653017,40685920,40780757,40950533,41499638,41573942,41648948,41865497,42163937,42187502,42438761,42563222,42632393,42650501,44211771,44279990,44323601,44444937,44935188,45052097,45112347,45114278,45140885,45206933,45271793,45294702,45644630,45771660,46590113,46793561,46887893,47132596,47574786,47671188,47731508,47819285,47832662,48777797,48823104,49277780,49404617,49824305,49852673,49879502,49922913,50713241,50993236,51170438,51707246,51869073,52027460,52137257,52179182,52457030,52523846,53135988,53199641,53312246,53422113,53705175,54169062,54527273,54773556,54862838,54925992,55155185,55204358,55593496,55611542,55649942,55668641,56293240,56296793,56484305,56636650,57113681,57220262,57229577,57238601,57285520,57289593,57383142,57548933,57625541,57675153,57688577,58455017,58493561,58830537,59133336,59253617,59789166,60267860,60431297,60468902,60751857,61349582,61596116,61791741,62432952,62542683,62582126,62948436,63050313,63191681,63260246,63319430,63329895,63630473,64044422,64270382,64349828,64428785,64446210,64673990,64697942,64746821,65021702,65067401,65340993,65909537,66186222,66407393,66415636,66525003,66628961,66709912,67162553,67205582,67307921,67332280,67551888,67781166,67963980,68148641,68176277,68381585,68383137,68733857,68742624,68925797,69300902,69520377,69747881,69973142,70237071,70277457,70307537,70336455,70883366,71110217,72030068,72047441,72281753,72321432,72494912,72518321,72550121,72665006,72798446,72847480,72920433,73297137,74104961,74452757,74455575,74703062,75025552,75048651,75748815,75765302,75794981,75943046,75983316,75995874,76226584,76677753,77314542,77335452,77524358,77554385,77608788,77644484,77727137,78202337,78887366,78900977,79071041,79348742,79419280,79445060,79526630,79944917,80192246,80337556,80423990,80532257,80619542,80785857,80798736,80909500,81298982,81361611,81556776,81769430,81953415,82057902,82147673,82293653,82311446,82644537,82786193,82919393,83562230,83723726,83733875,83735846,83757153,84211022,84366062,84403746,84497817,84712085,85237617,85462121,85661141,85754907,86008805,86345697,86532376,87416976,87463937,87509188,87642260,87664433,88063097,88354598,88408262,88838776,88846262,88960193,89052773,89291073,89346690,89488756,89658273,89884361,89903702,90220724,90273830,90371780,90898578,90986201,91682584,91751373,92528756,92653841,92842373,92953353,92953430,93065262,93575993,93683217,94257016,94280726,94879480,94882838,95184230,95303136,95334072,95431956,95688305,95945513,96133733,96347057,96508788,96956913,97031537,97091400,97348923,97390502,97547126,98123316,98344098,98768073,98990657,99108377,99389535,99639830,99660641,99696662,99943623,...,434808118184350274926514406675345669171874744281448255508557521796051845491473873804550147862056442031997892479079338092031123970392563590345756060472267745463090043784130683969243488680045350636457074099752053465940379199402422536921940993505074111116268275607643256057061811068111470651431933900344031662428979364807326564896487542847942391157517228291721425066854977965585989937418329728088795274942627765889760102228798437514398185318728870692564663163847457317353222246847792791778077284888094690726483906688031658286517556303534745295100828168532164147914500778972450383368343331016246899716410721538708294935268643754733570690056463085803931299014494802362607206515653313296890324107438952879971525985202996217068611932484406163793264360783618464483496856205268995856531796213077031795539531062430247540275470987064672821254361925880644904201831098274088256840782887359654711030479834455034996473828820570696167040830477579587177372050173188959916632828080690591429818370497791488874297589681091790656258946118884889182819860955349555231685012600392727204095666247009404826226103848786271876735449499458248274903745980121196366422388050548630535737286925232133641546793153737057696233903954667925092207830657766976506476169262435977184180130835050981301836751345919502686590045640398064234707818067157422363743627718409341274660836572772565661329820544662830940135863770093229276009276338551169183022415661025574008116903135281406285085808628098854153658630998099221552111058991753442331182267590891900151709583085379781695512442435444347838802956906586798246364635488672432957626982771700875223526519132688330115169215520558695560720499005334695020244727012557376793805483375605249134515593294397417666176302107069808629835242174438240628039270991963351894439742051951956139946427434014440503495661749243940231107925383784267029905133503632252717533191663105017883390181712870864470323657134917574128281715649544855087989820848539142389119192334998188944490764094222394212307214994064324464586610711710932994759186866786243443868829644424991985370754994101531972020053021376183447699874321263645698392566943005310421392131482217940131524175090966649708965461562435164064931418985838135434332008702846425356338565081518194170584739294266088835160962219951492524679900226008864748977544432371954928402921689186564471695089146922562662644433498293019926878258415565475083284972158518629077195139630703534670832850822488374178989949158068611893892968490511387989827994181597411302604141243629941212104457477513783355184222982916504064497485482939529553695622964980560338770941227184669820380771359904949358509608988692966346336798416646943712596848092894402312657346552505163580733556282474487379442336818520708504630895017747779635192666364337829616662719690997350762622790374163936199073601784765243945844974887190724268152143035853624716062098010559017197790946605611198688834000749740406866390450512229318987761606741646005063843118490773079375528070750042429882588444798652200760818309340482699638581526092164096030542141838387592653617659209333571177951178647828222763855461582099743603804525623442930745156013632404892449953097378866752313963383120714851074365400400238399161596972590723021792599121934591688977940239721723539228467370409886784629325404633931933060959702694106083377316173745415347447327804708379916936073303928417387010867301223901746756632377672443431793000569480814902900325982827820983525052199095890265734377559677749506801265725896392274419702816785009337249795810319430116757683670850580132171368615709513985317339317609578901369632267384001177730450574589012281420339380249834401735299410796248407812535426225708063916767360089217238059397025292}
23144  35127280331715148776409575719710904022642572371821932159936131651262224274277: {300703,508882,1295336,1457253,1684183,1734825,1850480,1986514,2081790,2126764,2220576,2373223,2498148,2815882,2923159,3276082,3471943,3643954,3788236,3827794,4103434,4156303,4654282,4746034,4894444,5111383,5204554,5447116,6028882,6394834,6469663,6588345,6851914,7027568,7654924,7685959,7906014,8220754,8252769,8311882,8359159,9131314,9307756,9824725,9917193,10408204,11038282,11789670,11830783,12366056,12396082,12575648,12605644,12819945,12847882,12889183,12938194,13021159,13548343,13674608,13811503,13911813,13985785,14147604,14468143,14573288,14725529,14861263,15100882,15345964,15383934,15515023,16358194,16394949,16440076,16782942,16985674,17879816,18079084,18238282,19014223,19131082,19665994,20081288,20111314,20114793,21000754,21036470,21349324,21893356,21953623,22080559,22243282,22587583,22591449,22597714,22774834,22786869,22840663,23219743,23379176,23571082,23630277,23659474,24066604,24101743,24604159,24609196,24920126,25243764,25253985,25355623,25688074,25689153,25693516,25776082,26124969,26301573,26353543,26743114,26937584,27006514,27094282,27127225,27322545,28408882,28458823,28700985,28846282,28951159,29144048,29632594,29719882,30052100,30243274,30282789,30304782,30582325,30614384,31462282,31809994,31880983,32123263,32175244,32552670,32760453,32787054,32851594,33089503,33330343,33521745,33631282,33811159,34063882,34386933,34441182,34582474,34722848,34888783,35008159,35087381,35400556,35600180,35603959,35722903,35756528,36062520,36473356,36698790,36842905,36916113,36961545,37380559,37424434,37498423,37649145,38080396,38282194,38453554,38466688,39024103,39063204,39145376,39150316,39309394,39425648,39607663,39724159,40159088,40219084,40226094,40570335,40753036,40936825,41000863,41347543,41820076,42038959,42292234,42307473,42720216,43056082,43275024,43564594,43565169,43870063,44038548,44211486,44353854,44438503,44664394,44778703,44833354,44919237,45005143,45086674,45158545,45178974,45344263,45545644,45592882,45677194,46351114,46435282,46939954,47137996,47192074,47699959,48060243,48115282,48618034,48644309,48684402,49124190,49252783,49256585,49383093,49705354,50124830,50462959,50616633,50623282,50659976,50857400,50992293,51371596,51664423,51741669,51871882,52061185,52399136,52532743,53199754,53288743,53940297,53944882,54008236,54027237,54190254,54628833,54688714,55429303,55544313,55925554,56090194,56168985,56419282,56805223,56830282,56910559,56912434,56992473,57015823,57214575,57651082,57959959,58371173,58915745,58925793,58949028,59107902,59259916,59588985,59664385,59913584,59933983,60149796,60392936,60449143,61028880,61064959,61597225,62055754,62249457,62360913,62473422,62491783,63270994,63281253,63433048,63502303,63561584,63741545,63844833,64105159,64159882,64284517,64643914,64705423,65034325,65097472,65501743,65647358,65997103,66172882,66194743,66419985,66563884,66654514,66698261,66982423,67055434,67402782,67671417,67942053,68057959,68095954,68155303,68255794,68466945,68657490,69158764,69414223,69452554,69491870,69510559,69691474,69771082,70366550,70565503,70698894,70847984,70946959,71042143,71229484,71362179,71506782,71516983,71597262,71606900,71748993,71895559,72225416,72367159,73031408,73234656,73257994,73431721,73809874,73916670,74170889,74518282,74698159,74819253,75158959,75225394,75334825,75526303,75715829,76386124,76489854,76510856,76621423,76755657,76870282,76900204,76995145,77435959,77560869,77729074,77733929,77975743,78041190,78268773,78440716,78685545,78785769,78844448,79673674,79703982,79718888,79968369,80020903,80222261,80437285,81002476,81253593,81854959,81916882,82160334,82294257,82388988,82474889,82610314,82687282,82806537,83019545,83243936,83387390,83390244,83417313,83474913,83532874,83657263,83763154,83931248,83996959,84067084,84165350,84299914,84439860,84529714,84682834,84757063,84954975,85176823,85344223,85594783,85830393,85928280,86010943,86074713,86176903,86591434,87121324,87655882,87731794,88248296,88470103,88700004,88792882,89473354,89548882,89683749,89834863,89926282,90037585,90069184,90315953,90374888,90401790,90618640,90679882,90703353,90864463,91021783,91059350,91177516,91356754,91656832,92024373,92037343,92257234,92394174,92631754,92693836,92763566,92887159,92931082,93603634,93649428,93703276,93728263,93752914,93781940,93873189,94334503,94422654,94721674,94890369,94979145,95187701,95283230,95613514,95903959,96066633,96199303,96272959,96405573,96428576,96524742,96669315,96692414,97010985,97046913,97055605,97094794,97227244,97296583,97532553,97729516,97803103,98496082,98805559,98876623,98937394,99157834,99274100,99279333,99304714,99306325,99442543,99524914,99623454,99933943,99964882,...,652212177276525412389771610013018503757812116422172383262836282694077768237210810706825221793084663047996838718619007138046685955588845385518634090708401618194635065676196025953865233020068025954685611149628080198910568799103633805382911490257611166674402413411464884085592716602167205977147900850516047493643469047210989847344731314271913586736275842437582137600282466948378984906127494592133192912413941648834640153343197656271597277978093306038846994745771185976029833370271689187667115927332142036089725860032047487429776334455302117942651242252798246221871751168458675575052514996524370349574616082308062442402902965632100356035084694628705896948521742203543910809773479969945335486161158429319957288977804494325602917898726609245689896541175427696725245284307903493784797694319615547693309296593645371310413206480597009231881542888820967356302746647411132385261174331039482066545719751682552494710743230856044250561245716369380766058075259783439874949242121035887144727555746687233311446384521637685984388419178327333774229791433024332847527518900589090806143499370514107239339155773179407815103174249187372412355618970181794549633582075822945803605930387848200462320189730605586544350855932001887638311745986650464759714253893653965776270196252576471952755127018879254029885068460597096352061727100736133545615441577614011911991254859158848491994730816994246410203795655139843914013914507826753774533623491538361012175354702922109427628712942148281230487946497148832328166588487630163496773401386337850227564374628069672543268663653166521758204435359880197369546953233008649436440474157551312835289778699032495172753823280838043341080748508002042530367090518836065190708225063407873701773389941596126499264453160604712944752863261657360942058906487945027841659613077927934209919641151021660755243492623865910346661888075676400544857700255448379076299787494657526825085272569306296705485485702376361192422573474317282631984731272808713583678788502497283416736146141333591318460822491096486696879916067566399492138780300179365165803244466637487978056132491152297958030079532064275171549811481895468547588850414507965632088197223326910197286262636449974563448192343652746097397128478757203151498013054269638034507847622277291255877108941399133252741443329927238787019850339013297123466316648557932392604382533779846707542633720383843993966650247439529890317387623348212624927458237777943615792709446055302006249276233732561268484923737102917840839452735767081984741991272396116953906211865444911818156686216270675032776334474374756096746228224409294330543434447470840508156411840777004730571157039857424037764413483039449519505197624970415568895272139341603468986019828757745371100334423711731069163505227781062756946342526621669452788999546506744424994079536496026143934185561245904298610402677147865918767462330786086402228214553780437074093147015838525796686419908416798033251001124610610299585675768343978481642410112469007595764677736159619063292106125063644823882667197978301141227464010724049457872289138246144045813212757581388980426488814000356766926767971742334145783192373149615405706788435164396117734020448607338674929646068300128470945074681072276611548100600357598742395458886084532688898682901887533466910359582585308842701055614830176943988106950897899591439554041159125065974260618123021170991707062569875404109955892626080516300951835852620134948566508665147689500854221222354350488974241731475287578298643835398601566339516624260201898588844588411629554225177514005874693715479145175136525506275870198257052923564270977976008976414368352054448401076001766595675861883518422130509070374751602602949116194372611718803139338562095875151040133825857089095537938}
23145  35253020020954352949724307156059716320978872638244786575441547706388616443605: {46286,763323,1133419,1619170,1943004,2313100,2658455,2775720,2960768,2979771,3122685,3190146,3330864,3747222,4223823,4322879,4735295,4914123,5465931,5682354,5741691,6118055,6149122,6155151,6808895,6981423,7119051,7341666,7806831,7813546,8170674,8784460,9043323,9568655,9592251,10277871,10541352,10820299,11003692,11387807,11482386,11634695,11859021,11935979,11965282,12219371,12331131,12467823,12751627,13010255,13222924,13456223,13696971,13961634,15457570,15612306,15644839,15719560,15757055,16091639,16557423,17093260,17571127,17684505,18012203,18216610,18295303,18441719,18549084,18594123,18617794,18863472,18908466,19182455,19271823,19407291,19416167,20456779,20511912,20550095,21221406,21765383,21859932,21882991,22349770,22377256,22598855,22651323,23018946,23075901,23570386,23675431,24537291,24660114,25101610,25174413,25478511,25501042,25811266,26686655,26787586,26819724,27102779,27118626,27357423,27366695,27829799,28615103,28696623,29223970,29354107,29498991,30083255,30121932,30166971,30382492,30753643,30761495,30835831,30961282,31286962,31296491,31501131,31507036,31554705,31584199,31974511,32023986,32116895,32460322,32840034,33147323,33364923,33658352,33671980,33896571,34162251,34252204,34497442,34833292,34858007,35068764,35139202,35356623,35390914,35447831,35489211,36099906,36430060,36913794,37032754,37380189,37565125,37714354,37865646,38267980,38532111,38540274,38664123,38768903,39450527,39537359,40066114,40114671,40175746,40219055,40377052,40406376,40509771,40641423,41548351,41875199,42442447,42566914,42613323,42636091,43269423,43403560,43593223,43680604,43694783,43716072,43762186,43981451,44250695,44327479,44361682,44430839,44448891,44500225,44579823,44695660,45078150,45364911,45457173,45591695,45849244,45921576,46464994,47193423,47600495,47668207,47714991,48083360,48203243,48262866,48829005,48931720,48937895,49180581,49221484,49277391,49282060,49704479,50198860,50273855,50446923,50941295,51095823,51661773,51873711,52084272,52141783,52183714,52275095,52424386,52528402,52843819,53100834,53316874,53400270,53460034,53477783,53634792,54093780,54710034,55048185,55503917,55616386,56136651,56409964,56932055,56960288,57118639,57120594,57198779,57217546,57423291,57539074,57680331,57700032,58086892,58594806,58646482,58695263,58703122,58718064,58725474,58922495,58948648,58964091,59138472,59432687,59892316,60238632,60328626,60339141,60436543,60474154,61129554,61666306,61991986,62196994,62730114,62872303,63197239,63324970,63438351,63571750,63887147,63902482,64080324,64214495,64584123,64673279,64703554,64716551,64912536,65186279,65241514,65346891,65498920,65844124,66057822,66165803,66317229,66530781,66946999,66996591,67250031,67313767,67488844,67510295,67623946,67630011,67768461,67989724,68318466,68389323,68515791,68988892,69212119,69526671,69652923,69754027,70312594,70409931,70638623,70706994,70788111,71049346,71116411,71920396,72036316,72172923,72253672,72288031,72671314,72838444,72927051,73026603,73386466,73439842,73474123,73686285,74059084,74074895,74476439,74558031,74891980,75187245,75380831,75491170,75771874,75934923,75949642,75955906,75989964,76286100,76841099,77057394,77217259,77807823,78340463,78567724,78598704,78728471,78810536,79078027,79291310,79451980,79562879,79799631,80156987,80199202,80199728,80539303,80917323,81012354,81285381,81306034,81371840,81561514,81901066,82033071,82586479,82999276,83147884,83204855,83297896,83730994,83888331,84135291,84327874,84375004,84628923,84877522,85126444,85245423,85264786,85301002,85368651,86448455,86476623,86628023,86977979,88374959,88423542,88559980,88647202,88661853,88889874,89036855,89508625,89870376,90104194,90200299,90224694,90228556,90281770,90413866,90543586,90589404,91289260,91543320,93083631,93180226,93587122,93710133,93775786,94070479,94265192,94456331,94906491,95149572,95255423,95342376,95463016,95482655,95638570,95665324,95734219,95849963,96125255,96239823,96965871,97555594,97616159,97646208,98050895,98471037,98555560,98809234,99259323,99648610,99705346,99759004,99845826,99923399,99981771,...,978318265914788118584657415019527755636718174633258574894254424041116652355816216060237832689626994571995258077928510707070028933383268078277951136062602427291952598514294038930797849530102038932028416724442120298365853198655450708074367235386416750011603620117197326128389074903250808965721851275774071240465203570816484771017096971407870380104413763656373206400423700422568477359191241888199789368620912473251960230014796484407395916967139959058270492118656778964044750055407533781500673890998213054134588790048071231144664501682953176913976863379197369332807626752688013362578772494786555524361924123462093663604354448448150534052627041943058845422782613305315866214660219954918003229241737643979935933466706741488404376848089913868534844811763141545087867926461855240677196541479423321539963944890468056965619809720895513847822314333231451034454119971116698577891761496559223099818579627523828742066114846284066375841868574554071149087112889675159812423863181553830717091333620030849967169576782456528976582628767491000661344687149536499271291278350883636209215249055771160859008733659769111722654761373781058618533428455272691824450373113734418705408895581772300693480284595908379816526283898002831457467618979975697139571380840480948664405294378864707929132690528318881044827602690895644528092590651104200318423162366421017867986882288738272737992096225491369615305693482709765871020871761740130661800435237307541518263032054383164141443069413222421845731919745723248492249882731445245245160102079506775341346561942104508814902995479749782637306653039820296054320429849512974154660711236326969252934668048548742759130734921257065011621122762003063795550635778254097786062337595111810552660084912394189748896679740907069417129294892486041413088359731917541762489419616891901314879461726532491132865238935798865519992832113514600817286550383172568614449681241986290237627908853959445058228228553564541788633860211475923947977096909213070375518182753745925125104219212000386977691233736644730045319874101349599238208170450269047748704866699956231967084198736728446937045119298096412757324717222843202821383275621761948448132295834990365295929393954674961845172288515479119146095692718135804727247019581404457051761771433415936883815663412098699879112164994890858180529775508519945685199474972836898588906573800669770061313950580575765990949975371159294835476081435022318937391187356666915423689064169082953009373914350598841902727385605654376761259179103650622977112986908594175430859317798167367727235029324406012549164501711562134145119342336613941495815151671206260762234617761165507095856735559786136056646620224559174279257796437455623353342908209012405203479029743136618056650501635567596603745257841671594135419513789932504179183499319760116637491119304744039215901278341868856447915604015721798878151193496179129603342321830670655611139720523757788695029629862625197049876501686915915449378513652515967722463615168703511393647016604239428594938159187595467235824000796967451711841196016086074186808433707369216068719819136372083470639733221000535150390151957613501218674788559724423108560182652746594176601030672911008012394469102450192706417612021608414917322150900536398113593188329126799033348024352831300200365539373877963264051583422245265415982160426346849387159331061738687598961390927184531756487560593854813106164933838939120774451427753778930202422849762997721534251281331833531525733461362597212931367447965753097902349509274936390302847883266882617444331337766271008812040573218717762704788259413805297385579385346406466964013464621552528081672601614002649893513792825277633195763605562127403904423674291558917578204709007843143812726560200738785633643306907}
23146  35379206843074514717669936637527513161532019918115199681626823243571116670055: {69429,601406,670393,1017764,1085653,1362133,1914229,2052073,2428755,2465173,2590672,2891375,2914506,3368366,3469650,3700960,3973028,3974329,4163580,4253528,4441152,4746446,4785219,4996296,5474773,5620833,5631764,5846318,6153913,6552164,6695929,6943886,7287908,7576472,7655588,8180533,8206868,8312606,8523531,9223683,9308564,9492068,9522613,9788888,10190953,10222766,10409108,10591093,10894232,10980575,11012499,11389429,11522233,11720319,12057764,12256011,12789668,12939326,13176690,13703828,13754615,14055136,15211513,15309848,15371918,15812028,16441508,16505538,16528655,16623764,16718318,17223579,17812153,17947923,18262628,18615512,18715573,19230229,19580099,19649450,19743733,19834386,20816408,20942451,21149929,21366575,22076564,22420729,23186355,23418459,23579340,23661566,24439033,24732112,24792164,25151296,25211288,25639890,25695764,25778366,25876388,26042318,26687593,27096686,27324915,27349216,27623006,27823626,27926691,27971570,28050229,28295208,28362699,28543573,28936286,29146576,29451058,29722526,29894329,30201764,30627433,30691928,30767868,31030046,31114729,31832109,32448853,32716388,32789898,32880152,33524655,33565884,33654133,33971348,34134229,34528419,35355579,35759632,36158168,36476564,36990171,37652415,37978115,38028446,38251563,38262164,38716899,38871829,39331988,39383795,39921913,40162576,40181379,40222628,40229586,40677939,42001508,42072940,42089975,42234553,42349429,42698648,42815255,43037173,43541615,43786712,43835955,43907246,43950133,44161118,44486564,44745193,45175166,45182898,45195428,45537575,45549668,45573738,45681326,46212373,46439486,46441923,46758352,46885429,46930443,47142164,47260554,47318948,47332693,47444329,47834975,47890153,48035979,48133208,48203486,48667573,48690483,48999673,49208318,49218392,49260051,49661929,49772053,49840252,50471315,50487528,50507970,50711246,51376148,51378306,51387032,51552164,51580067,51746163,52249938,52603146,52707086,52708803,53086371,53486228,53875168,54013028,54149859,54188564,54254450,54546229,54600755,54645090,55370691,55549131,55869575,56141929,56564713,56571531,56775673,56798469,56817764,56917646,57301813,57311555,57401970,57692564,57810411,57902318,58288096,58661353,59181013,59265188,59439764,59802229,59905513,60099171,60104200,60263619,60420853,60486548,60565578,60609564,60831829,61164650,61228768,61526855,61602575,61854229,62748575,62924564,63221963,63273493,63619988,63761966,63850371,63977833,64246526,64350488,64778473,65105340,65520906,65574108,65643279,65703188,66179006,66542523,66660686,67043490,67250773,67262564,67617225,67622318,67934953,68127764,68773866,68882364,68959219,69164948,69445696,69697491,69777566,70016318,70174762,70253929,70512455,70801112,71200360,71207918,71445806,71513056,71587513,72125040,72249013,72394299,72608615,72885659,72946712,73000693,73397580,73685810,73832226,73923090,74761118,74848868,74865395,74996846,75298290,75972611,76160792,76417273,76564388,76689973,76907108,76933376,77684329,78048206,78126408,78275571,78290752,78300632,78580729,78618788,78636579,78792603,78851296,79215326,79448318,79651251,79975311,79999993,80100405,80190051,80318176,80438168,80452188,81140670,81506072,81748153,81873650,82001726,82065051,82070747,82094329,82305155,82439353,82482043,82695086,83424579,83530139,83640152,84077918,84361055,84584468,84614946,84987155,85440432,85680891,85826319,85909429,86112164,86236115,86308611,86550048,86737429,86782943,87129188,87130338,87148729,87740126,87892209,87965929,87969723,88054683,88077096,88088211,88290793,88422972,88707708,88877006,89097913,89238163,89258473,89328788,89557406,89666708,89838474,89900495,90010286,90045395,90173348,90317090,90357948,90492939,90688526,90711231,90769429,91048055,91091288,91185764,91354388,91694331,91866133,92021653,92499459,92573855,92702228,92870564,92987979,93178873,93295491,93614975,93789433,93879908,94095171,94275992,94384148,94696633,94987455,95357625,95399918,95816053,95853723,96037993,96120486,96230564,96773113,97055331,97236068,97283413,97288618,97368804,97862271,97934329,98209655,98248380,98505566,98513170,98766186,98935273,99077113,99086733,99314975,99410708,...,1304424354553050824779543220026037007515624232844344766525672565388155536474421621413650443586169326095993677437238014276093371911177690771037268181416803236389270131352392051907730466040136051909371222299256160397821137598207267610765822980515222333348804826822929768171185433204334411954295801701032094987286938094421979694689462628543827173472551684875164275200564933896757969812254989184266385824827883297669280306686395312543194555956186612077693989491542371952059666740543378375334231854664284072179451720064094974859552668910604235885302484505596492443743502336917351150105029993048740699149232164616124884805805931264200712070169389257411793897043484407087821619546959939890670972322316858639914577955608988651205835797453218491379793082350855393450490568615806987569595388639231095386618593187290742620826412961194018463763085777641934712605493294822264770522348662078964133091439503365104989421486461712088501122491432738761532116150519566879749898484242071774289455111493374466622892769043275371968776838356654667548459582866048665695055037801178181612286998741028214478678311546358815630206348498374744824711237940363589099267164151645891607211860775696400924640379461211173088701711864003775276623491973300929519428507787307931552540392505152943905510254037758508059770136921194192704123454201472267091230883155228023823982509718317696983989461633988492820407591310279687828027829015653507549067246983076722024350709405844218855257425884296562460975892994297664656333176975260326993546802772675700455128749256139345086537327306333043516408870719760394739093906466017298872880948315102625670579557398064990345507646561676086682161497016004085060734181037672130381416450126815747403546779883192252998528906321209425889505726523314721884117812975890055683319226155855868419839282302043321510486985247731820693323776151352801089715400510896758152599574989315053650170545138612593410970971404752722384845146948634565263969462545617427167357577004994566833472292282667182636921644982192973393759832135132798984277560600358730331606488933274975956112264982304595916060159064128550343099622963790937095177700829015931264176394446653820394572525272899949126896384687305492194794256957514406302996026108539276069015695244554582511754217882798266505482886659854477574039700678026594246932633297115864785208765067559693415085267440767687987933300494879059780634775246696425249854916475555887231585418892110604012498552467465122536969847474205835681678905471534163969483982544792233907812423730889823636313372432541350065552668948749512193492456448818588661086868894941681016312823681554009461142314079714848075528826966078899039010395249940831137790544278683206937972039657515490742200668847423462138327010455562125513892685053243338905577999093013488849988159072992052287868371122491808597220805354295731837534924661572172804456429107560874148186294031677051593372839816833596066502002249221220599171351536687956963284820224938015191529355472319238126584212250127289647765334395956602282454928021448098915744578276492288091626425515162777960852977628000713533853535943484668291566384746299230811413576870328792235468040897214677349859292136600256941890149362144553223096201200715197484790917772169065377797365803775066933820719165170617685402111229660353887976213901795799182879108082318250131948521236246042341983414125139750808219911785252161032601903671705240269897133017330295379001708442444708700977948483462950575156597287670797203132679033248520403797177689176823259108450355028011749387430958290350273051012551740396514105847128541955952017952828736704108896802152003533191351723767036844261018140749503205205898232388745223437606278677124191750302080267651714178191075876}
23147  35505842377630045062386370481554306194242967420331947679075720066828096421282: {92572,902109,1272205,1526646,2266838,3238340,3721837,3886008,4371759,4626200,4831453,4966285,5052549,5108857,5204475,5316910,5551440,5921536,5959542,6245370,6380292,6629413,6661728,7039705,7119669,7494444,8190205,8447646,8565277,8645758,8769477,9109885,9401293,9470590,9532453,9569485,9828246,10258585,10415829,10931862,11364708,11483382,11635705,11865085,12173173,12236110,12298244,12310302,12468909,12727549,13011385,13396117,13617790,13962846,14106157,14238102,14683332,15072205,15334149,15613662,15627092,15902809,15987085,16288573,16341348,16876597,17129785,17568920,17984773,18086646,18214357,18519589,19137310,19184502,19408989,19647037,19765035,20036533,20551885,20555742,20611333,20755213,20779705,21047389,21082704,21287149,21640598,22007384,22059877,22775614,22827109,22828285,22964772,23057877,23140213,23269390,23718042,23871958,23930564,24438742,24582613,24662262,24758307,24765913,24935646,25077477,25503254,26020510,26268757,26445848,26855437,26912446,27105133,27393942,27595705,27609373,27832213,27923268,28123549,28613737,28770133,29474175,29751579,30915140,30990205,31103893,31224612,31289678,31439120,31445773,31514110,31638397,32030557,32119705,32183278,32345485,32357389,33114846,33817849,34186520,34861033,35142254,35369010,35492349,35530837,36024406,36433220,36590606,36883438,37098168,37188246,37235588,37361317,37645549,37726944,37752205,37816932,37892509,38313373,38364910,38459835,38543646,38667549,38814582,38832334,38958949,39063477,39174109,39453949,39540793,40106557,40320277,40645029,40660069,40787833,40895485,40913558,41023824,41100190,41190589,41434509,41735439,41957355,42116557,42171253,42442812,42464185,42657913,43066093,43404429,43530766,43698589,43719864,43765982,43985269,44176587,44188813,44215657,44434693,44583789,44699540,44754512,44963653,45197710,45214777,45302646,45595705,46037892,46151802,46545069,46598197,46801693,47140772,47350862,47827705,48707989,49074582,49164985,49184847,49320228,49663477,50094169,50203220,50209093,50278285,50348826,50924077,50957022,51002084,51373237,51622532,51639289,52501885,52591175,52782349,53373310,53550697,53575172,53639448,54205558,54237252,54536749,54714846,54733390,55608205,55659598,56306677,56494285,56644837,56937085,56967469,57042669,57230206,57393246,57702733,58447940,58708214,58741657,58927705,58997982,59148685,59437849,59805589,60166510,60243864,60333942,60344379,60523453,60764984,61314937,61507286,61522990,61671662,61922564,61950973,62300315,62573924,62592982,63002262,63014072,63109410,63168398,63288133,63531493,63828373,63892693,63949022,64047972,64220185,64233790,64440205,64722169,64758073,64920644,65191957,65680068,65860869,66052813,66241677,66294646,66640693,66729846,66857785,67316704,67343960,67416793,67516285,67598557,67735705,67762749,67774347,67793142,68324502,68360607,68504408,68513053,68521989,68994884,69277909,69367129,69651373,69659229,69666584,69716014,70137528,70278404,70383397,70713246,70715917,70781828,70890831,70895662,70978422,71022205,71141389,71317813,71403133,72115705,72199812,72305229,72855253,72860120,73185133,73812477,73827588,74065508,74081485,74299705,74584453,74760378,75130250,75256297,75428708,75608185,75731292,75761955,75808153,76066869,76432057,76535960,76847773,77064222,77067459,77080548,77328246,77537806,78195949,78374907,78655705,78901054,78904719,79005637,79060629,79074718,79524985,79704877,79785229,80132228,80163949,80229342,80351492,80438110,80579509,80754104,80812752,81019542,81282846,81381675,81768877,81967635,82128985,82161949,82491493,82874173,83096702,83238373,83482009,83750398,83989033,84078205,84884894,85133828,85159705,85226646,85272182,85376469,85476973,86080789,86102955,86456185,86538846,86807120,86840437,86853477,87186446,87361208,87389566,87432144,87479293,87524372,87962902,88466389,88501390,88654958,88723364,88861678,88897782,89000450,89068249,89153593,89159646,89391320,89789317,89900293,89946373,90156300,90729822,90848367,90914346,91002013,91068877,91183390,91698488,91746975,91843152,91918453,92929988,93561085,94028857,94386846,94514413,95200990,95336414,95429982,95511709,95642949,95705485,96133885,96166720,96255013,96369789,96406486,96418213,96525732,97141669,97658010,97863440,97875790,98273485,98281359,98361162,98442968,98554782,98564120,98772013,99268509,99301213,99408958,99902029,99991029,...,1956636531829576237169314830039055511273436349266517149788508848082233304711632432120475665379253989143990516155857021414140057866766536156555902272125204854583905197028588077861595699060204077864056833448884240596731706397310901416148734470772833500023207240234394652256778149806501617931443702551548142480930407141632969542034193942815740760208827527312746412800847400845136954718382483776399578737241824946503920460029592968814791833934279918116540984237313557928089500110815067563001347781996426108269177580096142462289329003365906353827953726758394738665615253505376026725157544989573111048723848246924187327208708896896301068105254083886117690845565226610631732429320439909836006458483475287959871866933413482976808753696179827737069689623526283090175735852923710481354393082958846643079927889780936113931239619441791027695644628666462902068908239942233397155783522993118446199637159255047657484132229692568132751683737149108142298174225779350319624847726363107661434182667240061699934339153564913057953165257534982001322689374299072998542582556701767272418430498111542321718017467319538223445309522747562117237066856910545383648900746227468837410817791163544601386960569191816759633052567796005662914935237959951394279142761680961897328810588757729415858265381056637762089655205381791289056185181302208400636846324732842035735973764577476545475984192450982739230611386965419531742041743523480261323600870474615083036526064108766328282886138826444843691463839491446496984499765462890490490320204159013550682693123884209017629805990959499565274613306079640592108640859699025948309321422472653938505869336097097485518261469842514130023242245524006127591101271556508195572124675190223621105320169824788379497793359481814138834258589784972082826176719463835083524978839233783802629758923453064982265730477871597731039985664227029201634573100766345137228899362483972580475255817707918890116456457107129083577267720422951847895954193818426140751036365507491850250208438424000773955382467473289460090639748202699198476416340900538095497409733399912463934168397473456893874090238596192825514649434445686405642766551243523896896264591669980730591858787909349923690344577030958238292191385436271609454494039162808914103523542866831873767631326824197399758224329989781716361059551017039891370398949945673797177813147601339540122627901161151531981899950742318589670952162870044637874782374713333830847378128338165906018747828701197683805454771211308753522518358207301245954225973817188350861718635596334735454470058648812025098329003423124268290238684673227882991630303342412521524469235522331014191713471119572272113293240449118348558515592874911246706685816418024810406958059486273236113301003271135193207490515683343188270839027579865008358366998639520233274982238609488078431802556683737712895831208031443597756302386992358259206684643661341311222279441047515577390059259725250394099753003373831830898757027305031935444927230337407022787294033208478857189876318375190934471648001593934903423682392032172148373616867414738432137439638272744166941279466442001070300780303915227002437349577119448846217120365305493188353202061345822016024788938204900385412835224043216829834644301801072796227186376658253598066696048705662600400731078747755926528103166844490530831964320852693698774318662123477375197922781854369063512975121187709626212329867677878241548902855507557860404845699525995443068502562663667063051466922725194425862734895931506195804699018549872780605695766533765234888662675532542017624081146437435525409576518827610594771158770692812933928026929243105056163345203228005299787027585650555266391527211124254807808847348583117835156409418015686287625453120401477571267286613814}
23148  35632928209718596751428564559727440792056247167801977902807055803516708623357: {115715,138858,393227,716627,1202812,1340786,1408307,1546427,2035528,2052251,2171306,2289969,2465387,2511251,2724266,2923667,3015227,3152507,3400257,3828458,4047925,4104146,4839707,4857510,4930346,5181344,5203067,5520587,5782750,5829012,6199667,6335267,6736732,6939300,7401920,7552427,7687307,7946056,7948658,7975365,8327160,8507056,8629451,8882304,8939313,9032147,9300251,9368055,9492892,9568067,9570438,9791027,9969251,9992592,10191851,10369787,10858451,10949546,11241666,11263528,11523251,11692636,12307826,12671469,12968637,13023467,13104328,13391858,13506851,13682387,13887772,13901627,14205885,14558147,14575816,14742369,15152944,15311176,15372805,15735347,16361066,16397793,16413736,16560251,16625212,16820147,16949987,17047062,17225073,18354165,18447366,18465453,18617128,18984136,19045226,19103387,19256461,19531667,19533865,19577776,20381906,20426685,20428451,20445532,20818216,20944269,21182186,21357153,21661067,21788464,21957587,21961150,22024998,22549451,22778858,22971251,23044466,23140117,23420493,23440638,23602451,24115528,24189947,24441251,24512022,24608627,25318547,25579336,25735067,25878652,26067707,26353380,27103907,27129969,27407656,27509230,27929267,28110272,28176251,28340747,28546187,28705965,28776753,28956467,29652107,29913205,30060227,30423026,30619696,30630251,30743836,30833613,31401347,31624056,32209907,32451851,32460897,32883016,33011076,33057310,33095627,33247528,33436636,33456851,33657251,33897467,34057451,34163421,34447158,34855451,34904085,35014667,35577063,35610587,35624306,35807937,35808827,35895846,36525256,36658113,36993393,37231024,37269587,37387547,37403469,37431146,38254881,38445947,38460458,38643925,39030765,39031427,39160198,39298900,39487466,39668772,39809267,39964451,40368669,40390547,41090913,41632816,41884902,41893451,42276851,42299858,42733150,42812267,43840427,43954307,43992251,44153128,44749451,44787227,44841458,44900507,45541525,46372710,46544485,46836918,46934517,47039147,47158680,47271165,47323132,47374451,48274917,48672251,48709187,48878066,49372667,49464224,49584328,49593251,49672269,49776851,50106827,50302592,50422576,50545787,51020027,51279780,51391528,51556732,51752776,52000667,52084636,52506851,52713381,53053515,53169361,53375186,54036609,54193372,54649830,54694067,54698432,54885909,55137313,55246012,55325157,55333787,55647252,55782369,55853382,55874425,55935587,55943140,56076851,56100458,56590416,56725398,56781251,56816387,56991947,57087146,57547365,57815469,57866747,57872572,58041107,58221873,58248501,58293152,58354451,58493507,58902116,58925965,59013827,59445052,59788658,59941357,59945867,60403528,60426851,60461147,60769451,60958261,61145387,61254866,61370337,61383856,61535736,61650285,62060092,62229458,62470451,62754025,62774507,63313451,63615707,63664218,63752605,64184867,64318451,64528165,64784987,64818251,64897706,65296149,65432776,65579796,65614187,65648973,65760304,65977451,66273947,66668267,66963251,66968965,67049310,67131768,67308266,67796565,67941851,67942696,67953969,68136707,68234027,68268458,69056838,69227703,69396251,69909467,70484387,70643627,70659841,70711158,71026293,71310251,71500067,71519264,71594867,71815787,71973347,72256451,72316336,72382067,72914507,72953128,73008227,73039451,73059925,73611873,73980342,74250947,74775227,74898251,75235907,75304830,75327827,75511451,75523239,75956230,76056892,76091027,76435533,76441057,76503126,76524328,76697987,77000267,77403205,77433798,77743658,77782451,78217405,78261107,78663976,78678251,78767590,79596347,79843826,80008451,80037827,80059965,80236177,80325152,80362758,80445256,80459172,80886251,81150805,81308337,81355878,82072269,82100085,82361987,83163347,83305787,83489397,84003016,84145880,84179950,84469106,84698858,84775307,85397296,85630510,85845309,86074346,86089869,86137597,86243605,86581787,86993867,87083230,87404147,87573424,87671910,87814492,87848005,87900266,88062321,88322236,88477285,88496973,88893107,88973128,89490386,89668451,89785813,89828027,89907707,90172787,90249765,90305027,90350332,90365796,90390856,90500913,90726851,91015667,91075150,91099336,91147476,91362652,91407947,91512251,91726129,91876307,92031851,92057747,92135387,92260929,92284485,92424746,92507493,92581885,92878972,92883846,92907827,92959067,93189251,93444251,93516704,93673067,93770858,93799907,93860886,93889473,94284328,94285885,94503393,94521108,94556747,94637896,94664115,94665386,94707251,94752597,94888658,95669950,95678507,95780306,95826851,95923533,96071958,96073451,96266416,96343787,96350685,96406972,96808451,96992701,97318667,97335146,97380966,97897451,97999346,98416636,98436784,98520102,98717437,98733251,98875547,98946587,98970251,99323858,99441969,99544106,99653027,99680504,...,2934954797744364355753972245058583266910154523899775724682763272123349957067448648180713498068880983715985774233785532121210086800149804234833853408187807281875857795542882116792393548590306116796085250173326360895097559595966352124223101706159250250034810860351591978385167224709752426897165553827322213721395610712449454313051290914223611140313241290969119619201271101267705432077573725664599368105862737419755880690044389453222187750901419877174811476355970336892134250166222601344502021672994639162403766370144213693433993505048859530741930590137592107998422880258064040087736317484359666573085772370386280990813063345344451602157881125829176536268347839915947598643980659864754009687725212931939807800400120224465213130544269741605604534435289424635263603779385565722031589624438269964619891834671404170896859429162686541543466942999694353103362359913350095733675284489677669299455738882571486226198344538852199127525605723662213447261338669025479437271589544661492151274000860092549901508730347369586929747886302473001984034061448609497813873835052650908627645747167313482577026200979307335167964284121343175855600285365818075473351119341203256116226686745316902080440853787725139449578851694008494372402856939927091418714142521442845993215883136594123787398071584956643134482808072686933584277771953312600955269487099263053603960646866214818213976288676474108845917080448129297613062615285220391985401305711922624554789096163149492424329208239667265537195759237169745476749648194335735735480306238520326024039685826313526444708986439249347911919959119460888162961289548538922463982133708980907758804004145646228277392204763771195034863368286009191386651907334762293358187012785335431657980254737182569246690039222721208251387884677458124239265079195752625287468258850675703944638385179597473398595716807396596559978496340543802451859651149517705843349043725958870712883726561878335174684685660693625365901580634427771843931290727639211126554548261237775375312657636001160933073701209934190135959622304048797714624511350807143246114600099868695901252596210185340811135357894289238271974151668529608464149826865285845344396887504971095887788181864024885535516865546437357438287078154407414181741058744213371155285314300247810651446990236296099637336494984672574541589326525559837055598424918510695766719721402009310183941851741727297972849926113477884506428244305066956812173562070000746271067192507248859028121743051796525708182156816963130283777537310951868931338960725782526292577953394502103181705087973218037647493505134686402435358027009841824487445455013618782286703853283496521287570206679358408169939860673677522837773389312366870060028724627037215610437089229409854169951504906702789811235773525014782406258541369797512537550497959280349912473357914232117647703835025606569343746812047165396634453580488537388810026965492011966833419161571273366085088889587875591149629505060747746348135540957547903167390845506110534180941049812718285784814477562786401707472002390902355135523588048258222560425301122107648206159457409116250411919199663001605451170455872840503656024365679173269325680547958239782529803092018733024037183407307350578119252836064825244751966452701609194340779564987380397100044073058493900601096618121633889792154750266735796247946481279040548161477993185216062796884172781553595269462681781564439318494801516817362323354283261336790607268549288993164602753843995500594577200384087791638794102343897259293707048527824809170908543649800647852332994013298813026436121719656153288114364778241415892156738156039219400892040393864657584245017804842007949680541378475832899587290816686382211713271022874676752734614127023529431438179680602216356900929920721}
23149  35760465930000389444303435088105159342916357698196819436310943182529104174833: {185144,208287,1503515,1781087,1804218,2011179,2544410,3053292,3256959,4086399,4533676,5709899,5742687,6156219,6476680,6952799,7286265,7395519,7443674,7772016,8420915,8674125,8743518,9252400,9662906,9855587,9932570,10105098,10217714,10408950,10633820,11102880,11110619,11466287,11843072,11866115,11919084,11922987,12490740,12753839,12760584,13258826,13323456,13397279,13605311,14079410,14239338,14355657,14362019,14615795,14988888,16289987,16380410,16424319,16611119,16862499,16895292,17003327,17130554,17291516,17359715,17538954,18215939,18219770,18461739,18802586,18862079,18941180,19064906,19138970,19656492,20038271,20087787,20517170,20781515,20831658,21101087,21863724,21886787,22186607,22381919,22729416,22966764,23271410,23679539,23730170,23924627,23981699,24346346,24472220,24541599,24584747,24596488,24620604,24874187,24937818,25455098,25556915,25570593,25862591,26022770,26473907,26792234,27235580,27611771,27671049,27925692,28212314,28476204,28567839,28616219,28772639,29052179,29091587,29359199,29366664,30144410,30572859,30668298,30960179,31106591,31227324,31254184,31773279,31805618,31959599,31974170,31980059,32033339,32146367,32348315,32577146,32629259,32682696,32941725,33037497,33614447,33753194,34168287,34259570,34566699,34998707,35137840,35160957,35533919,35969546,36173292,36428714,36768033,37039178,38274620,38369004,38429795,38633987,38705987,38817978,38962331,39294074,39530070,40073066,40323779,40791371,41103770,41111484,41222666,41263845,41510426,41559410,41795795,42094778,42165408,42174911,42574298,42643487,43281196,43386287,43600787,44014768,44119754,44192651,44791979,44967587,45063839,45218699,45283679,45551228,45634539,45654218,45656570,45929544,46115754,46280426,46538780,46602239,47436084,47676491,47743916,47861128,48679787,48877484,49123625,49165226,49324524,49417499,49516614,49531826,49585965,49871292,50154954,50324699,51006508,51377699,51643787,51670737,52041020,52537514,52537787,52786931,52853087,52891696,53436459,53710874,53824892,53843769,54210266,54332459,54787884,55191410,55218746,55506239,55664426,55846536,56146719,56247098,56422511,57227474,57253679,57540266,57563987,57690687,57703619,58740297,58948350,59153915,59231199,59338019,59449859,59503158,59850779,60528707,61830280,61980410,62207786,62228339,62449224,62579356,62827353,62878240,62891546,63028220,63276794,63293627,63449787,63537011,63833987,64061114,64099725,64239410,64366556,64445915,64690970,64714778,65105795,66058547,66229692,66375359,66958787,67262187,67635698,67741715,68194139,68373040,68528459,68751779,68830979,69057515,69224147,69559065,69657467,69722066,69928925,70255377,70284508,70389599,70722059,70738020,70984698,71061674,72048812,72066227,72340715,72737771,72861599,72866440,73181212,73317099,73502639,73627645,73766876,74196336,74306315,74376492,74471176,74590931,74722634,75291098,75453888,75504410,75633864,75785018,76327487,76626746,76729820,76919670,77087292,77335098,77575115,77629164,77664668,77851487,77917898,78126954,78222719,78348218,78907898,79012499,79081586,79091999,79711919,80062779,80213114,80640554,81290058,81320138,81575666,81775979,81790970,81827116,81974745,82047648,82200380,82217627,82315259,82381178,82498787,82808159,82869018,82881371,83040287,83470878,83780073,83914710,84076187,84109979,84150687,84233114,84342506,84683219,84885624,84928370,85088097,85315826,85630719,85683467,85992107,86088287,86132186,86808858,87061532,87220441,87397178,87439728,87531964,87970538,88086059,88353174,88377626,88431314,88869386,89167578,89399080,89509024,89682987,89908259,89927306,90216287,90395420,90429554,90605292,91191410,91514747,91882299,92075784,92303604,92771099,93090138,93196394,93344187,93600899,93603386,94086827,94281544,94522799,94701724,94829987,95071115,95496327,95655410,96372179,97056959,97346559,97415978,98149164,98329970,98369694,98640456,99134219,99309947,99326954,99431087,99642251,99686627,...,3913273063659152474338629660078111022546872698533034299577017696164466609423264864240951330758507978287981032311714042828280115733533072313111804544250409709167810394057176155723191398120408155728113666897768481193463412794621802832297468941545667000046414480468789304513556299613003235862887405103096284961860814283265939084068387885631481520417655054625492825601694801690273909436764967552799157474483649893007840920059185937629583667868559836233081968474627115856179000221630135126002695563992852216538355160192284924578658006731812707655907453516789477331230507010752053450315089979146222097447696493848374654417417793792602136210508167772235381691130453221263464858640879819672012916966950575919743733866826965953617507392359655474139379247052566180351471705847420962708786165917693286159855779561872227862479238883582055391289257332925804137816479884466794311567045986236892399274318510095314968264459385136265503367474298216284596348451558700639249695452726215322868365334480123399868678307129826115906330515069964002645378748598145997085165113403534544836860996223084643436034934639076446890619045495124234474133713821090767297801492454937674821635582327089202773921138383633519266105135592011325829870475919902788558285523361923794657621177515458831716530762113275524179310410763582578112370362604416801273692649465684071471947529154953090951968384901965478461222773930839063484083487046960522647201740949230166073052128217532656565772277652889687382927678982892993968999530925780980980640408318027101365386247768418035259611981918999130549226612159281184217281719398051896618642844945307877011738672194194971036522939685028260046484491048012255182202543113016391144249350380447242210640339649576758995586718963628277668517179569944165652353438927670167049957678467567605259517846906129964531460955743195462079971328454058403269146201532690274457798724967945160950511635415837780232912914214258167154535440845903695791908387636852281502072731014983700500416876848001547910764934946578920181279496405398396952832681801076190994819466799824927868336794946913787748180477192385651029298868891372811285533102487047793792529183339961461183717575818699847380689154061916476584382770872543218908988078325617828207047085733663747535262653648394799516448659979563432722119102034079782740797899891347594355626295202679080245255802322303063963799901484637179341904325740089275749564749426667661694756256676331812037495657402395367610909542422617507045036716414602491908451947634376701723437271192669470908940117297624050196658006846248536580477369346455765983260606684825043048938471044662028383426942239144544226586480898236697117031185749822493413371632836049620813916118972546472226602006542270386414981031366686376541678055159730016716733997279040466549964477218976156863605113367475425791662416062887195512604773984716518413369287322682622444558882095031154780118519450500788199506006747663661797514054610063870889854460674814045574588066416957714379752636750381868943296003187869806847364784064344296747233734829476864274879276545488333882558932884002140601560607830454004874699154238897692434240730610986376706404122691644032049577876409800770825670448086433659669288603602145592454372753316507196133392097411325200801462157495511853056206333688981061663928641705387397548637324246954750395845563708738127025950242375419252424659735355756483097805711015115720809691399051990886137005125327334126102933845450388851725469791863012391609398037099745561211391533067530469777325351065084035248162292874871050819153037655221189542317541385625867856053858486210112326690406456010599574055171301110532783054422248509615617694697166235670312818836031372575250906240802955142534573227628}
23150  35888457134717601726801263352032261513964184870259694966526435248601118910224: {162001,231430,277716,439489,786454,1433254,1822609,2236141,2405624,2511469,2681572,2706327,2816614,3092854,3198529,3609901,3816615,4071056,4104502,4342612,4579938,4930774,5022502,5248909,5448532,5667095,5847334,6030454,6305014,6800514,7656916,8095850,8208292,8361361,8495821,9301069,9679414,9715020,9836461,9860692,10362688,10406134,11041174,11165511,11302849,11565500,11658024,12399334,12670534,13024621,13115277,13292275,13473464,13551949,13683601,13878600,13946689,14494359,14803840,14898855,15104854,15157647,15326571,15374614,15613425,15892112,15897316,15910669,15950730,16654320,17014112,17210989,17258902,17764608,17878626,18064294,18600502,18736110,18985784,19136134,19140876,19147969,19533421,19582054,19888239,19938502,19985184,20383702,20739574,21119115,21359007,21521927,21614395,21716902,21899092,21959569,22086541,22483332,22527056,22593709,22973329,23046502,23385272,23676475,23982481,24570615,24615652,24736321,25342938,25362541,25695831,25937274,26046934,26208656,26308431,26609581,26783716,27013702,27329655,27347411,27364774,27775544,27803254,27973009,28203879,28219969,28411770,28597359,28708455,29116294,29151632,29484738,30305888,30429649,30590275,30622352,30745610,30768727,30775755,30917521,31247487,31470694,32253229,32722132,32795586,32827472,33120502,33250424,33459949,33640294,33899974,34044475,34094124,34450146,34898509,34907115,35017921,35595255,35613901,35732881,35851789,36519519,36708330,36894732,36930906,37234256,37406727,37508941,37626769,37968272,38090452,38182647,38206774,38512922,39034155,39035089,39063334,39067730,39155552,39735361,39851821,40188351,40763812,40853370,40856902,40891064,41636432,41878487,41888538,42050881,42165901,42318471,42364372,42510529,42714306,42854509,43322134,43576928,43882561,43915174,43922300,43996429,44049996,44791489,44904781,45098902,45216615,45557716,45942502,46002447,46088932,46146241,46280234,46483309,46840986,46881276,47043649,47204902,47708427,47825101,47843275,47961255,48231056,48379894,48713869,48865719,48882502,49024044,49217254,49377421,50629791,50637094,51158672,51389355,51470134,51757304,52135414,52331329,52548049,52656301,52706760,53734861,53954319,54101495,54207814,54259938,54643071,54699409,54815312,55018460,55339201,55551889,55558767,55858534,56220544,56352502,56681494,56821969,56927341,56939035,57032641,57092374,57411930,57553506,57912934,58173475,58226967,58941111,59019661,59295105,59304214,59679895,59826410,60109599,60120454,60467149,60846052,61083181,61096855,61239392,61260502,61287949,61487672,61492429,61655655,61667226,61798609,61833999,62265639,62339115,62510509,62802694,63142167,63248112,63622081,63758135,63861447,64419814,64824769,64903702,64921794,65051275,65162279,65620801,65766032,66017089,66022152,66114620,66179631,66191254,66495056,66707821,66873272,66913702,67002769,67281115,67314502,67688461,67794934,68114902,68176081,68273389,68326842,68481327,68484855,68894316,69173631,69420639,69435469,69531841,69710902,69808170,70029334,70491601,71064001,71154126,71221174,71248612,71539021,71615874,71617654,71791692,72106669,72389521,72483661,73046989,73050512,73316226,73747839,73986786,74274921,74297739,74462048,74539174,74721421,74775094,74806938,74862292,75232431,75366289,75549889,75733201,76098961,76509762,76891894,76920916,77287850,78061530,78062854,78090049,78224195,78320396,78597800,78785275,78806271,78974932,79250221,79337544,79618534,79928902,80046289,80458195,80566311,80737338,80781094,81054391,81315399,81881101,81967681,82181826,82496351,82787115,82828119,83265632,83496639,83769804,83786902,84108781,84370647,84553702,84599716,84868561,85288141,85466300,85624534,85841211,86121901,86310399,87030721,87680854,87849361,87855635,87908614,87984502,88306256,88422525,88902829,89253647,89254737,89498902,89574454,89682916,89801014,89864461,90061015,90103249,90339431,90341389,91051921,91083050,91476515,92067949,92145601,92208595,92745420,92970615,93071809,93088970,93311679,93673836,93683521,93756551,93869034,94078294,94317360,94337319,94542330,94646264,94748902,94893121,94915191,95912275,96010381,96091671,96305581,96359115,96379201,96549834,97036455,97072167,97080835,97344502,97402321,97418374,97756132,97908589,98052589,98745334,98768269,98910541,98928448,98981569,99168656,99186502,99264961,99344538,99348799,99476749,99553702,...,5869909595488728711507944490117166533820309047799551449365526544246699914134897296361426996137761967431971548467571064242420173600299608469667706816375614563751715591085764233584787097180612233592170500346652721790195119191932704248446203412318500500069621720703183956770334449419504853794331107654644427442791221424898908626102581828447222280626482581938239238402542202535410864155147451329198736211725474839511761380088778906444375501802839754349622952711940673784268500332445202689004043345989278324807532740288427386867987010097719061483861180275184215996845760516128080175472634968719333146171544740772561981626126690688903204315762251658353072536695679831895197287961319729508019375450425863879615600800240448930426261088539483211209068870578849270527207558771131444063179248876539929239783669342808341793718858325373083086933885999388706206724719826700191467350568979355338598911477765142972452396689077704398255051211447324426894522677338050958874543179089322984302548001720185099803017460694739173859495772604946003968068122897218995627747670105301817255291494334626965154052401958614670335928568242686351711200570731636150946702238682406512232453373490633804160881707575450278899157703388016988744805713879854182837428285042885691986431766273188247574796143169913286268965616145373867168555543906625201910538974198526107207921293732429636427952577352948217691834160896258595226125230570440783970802611423845249109578192326298984848658416479334531074391518474339490953499296388671471470960612477040652048079371652627052889417972878498695823839918238921776325922579097077844927964267417961815517608008291292456554784409527542390069726736572018382773303814669524586716374025570670863315960509474365138493380078445442416502775769354916248478530158391505250574936517701351407889276770359194946797191433614793193119956992681087604903719302299035411686698087451917741425767453123756670349369371321387250731803161268855543687862581455278422253109096522475550750625315272002321866147402419868380271919244608097595429249022701614286492229200199737391802505192420370681622270715788578476543948303337059216928299653730571690688793775009942191775576363728049771071033731092874714876574156308814828363482117488426742310570628600495621302893980472592199274672989969345149083178653051119674111196849837021391533439442804018620367883703483454595945699852226955769012856488610133913624347124140001492542134385014497718056243486103593051416364313633926260567555074621903737862677921451565052585155906789004206363410175946436075294987010269372804870716054019683648974890910027237564573407706566993042575140413358716816339879721347355045675546778624733740120057449254074431220874178458819708339903009813405579622471547050029564812517082739595025075100995918560699824946715828464235295407670051213138687493624094330793268907160977074777620053930984023933666838323142546732170177779175751182299259010121495492696271081915095806334781691012221068361882099625436571569628955125572803414944004781804710271047176096516445120850602244215296412318914818232500823838399326003210902340911745681007312048731358346538651361095916479565059606184037466048074366814614701156238505672129650489503932905403218388681559129974760794200088146116987801202193236243267779584309500533471592495892962558081096322955986370432125593768345563107190538925363563128878636989603033634724646708566522673581214537098577986329205507687991001189154400768175583277588204687794518587414097055649618341817087299601295704665988026597626052872243439312306576228729556482831784313476312078438801784080787729315168490035609684015899361082756951665799174581633372764423426542045749353505469228254047058862876359361204432713801859841442}
23151  36016903425713830303379991220789975911278703501335497451126196723396306418919: {347145,370288,416574,1179681,2104921,2149881,3007030,3351965,3562174,3608436,4022358,4224921,4639281,5088820,5428265,5848601,6106584,6156753,6513918,6680813,6810665,6869907,7396161,7533753,8172798,8771001,9045681,9067352,9457521,9571145,10200771,10260365,10417649,11419798,11485374,11789281,12143775,12312438,12325865,12953360,13459721,13905598,14456875,14519121,14572530,14791038,14887348,14979569,15407033,15544032,15609201,16561761,16612561,16841830,17348250,17487036,18446513,18504800,18599001,19005801,19325812,19711174,19865140,19871645,20094841,20210196,20435428,20462113,20795981,20817900,21051041,21267640,21771041,22205760,22221238,22657281,22932574,23061921,23681593,23686144,23732230,23838168,23845974,23926095,24303601,24950561,24981480,25507678,25521168,25596329,25888353,26517652,26646912,26739289,26794558,26817939,27096441,27210622,27373865,27443309,27837041,27900753,28104165,28158820,28478676,28622561,28704201,28711314,28724038,29054701,29094121,29231590,29373081,29907753,29977776,30575553,30769565,31109361,31982833,32575353,32579974,32632093,32760820,32848638,33222238,33479645,33724998,33790584,34006654,34261108,34569753,34583032,34602553,34665521,34719430,35077908,35779681,36431878,36439540,36705961,36923478,37605172,37652081,37724158,37882360,37991161,38014407,38129812,38277940,38905911,39070401,39312984,39460793,40076542,40175574,40520553,40902665,41034340,41047161,41563030,41663316,41704881,41886113,42201401,42202174,42617655,43604569,43674441,43727448,43773574,44223341,44227107,44373214,44442401,44763838,45067753,45210209,45287641,45458832,45933528,46118415,46542820,47160833,47206041,47359078,47460340,47613065,47849254,47881081,47963398,48692692,48944440,49083198,49169494,49192976,49193379,49241208,49680753,49717481,49748374,49875636,50102861,50460441,50849961,50910196,50932913,50954765,51113830,51141186,51227681,51675219,51725182,52030621,52045540,52947814,52955465,53491721,53584468,53801713,54471160,54902875,55062495,55223542,55342098,55396359,55454873,55851384,56424628,56427409,56654681,56947145,56952408,57135678,57232438,57310161,57545278,57611165,57769383,58104358,58183174,58514113,58595001,58601595,58710641,58718398,58733328,60206729,60288820,60724513,61145718,61280055,61285353,61336596,61920358,62213182,62233741,62454648,62508368,62832807,63546558,63611236,63919198,63948340,63960118,64066678,64071459,64292734,64696630,64983201,65154292,65258518,65365392,65872761,65883450,66074994,66183161,66381121,67066529,67228894,67428509,67506388,67528301,67648353,67675289,68336574,68519140,68773075,68913753,69133398,69420351,69997414,70261479,70275680,70321914,70657169,70807353,71067838,71939092,72042953,72346584,72569841,72857428,73323753,73493281,73536066,73825881,74078356,74495921,75955641,76057565,76549240,76738008,76816013,76859590,77205201,77267974,77411974,77635956,77754169,77924662,78203121,78229513,78360881,78588148,79060140,80146132,80647558,81311721,81389907,81582742,82207540,82222968,82322461,82445332,82527690,82608013,82643275,82815481,83020852,83118820,83591590,83787801,84003629,84189556,84330816,84349822,84528753,85022241,85148596,85286974,85638561,85690909,86117895,86330259,86562392,86650601,86772574,86869401,87201574,87694921,88029536,88193201,88239508,88385302,88398113,88481921,88956321,89060765,89583958,89739615,89804921,89935174,90127678,90180681,90224281,90437398,90523441,90567358,90710861,91102456,91148113,91269078,91308436,91313140,91859088,91890289,91890753,92231508,92500839,92560852,93077560,93204478,93577865,94204041,94838401,94872168,95352982,95487832,95722256,95978881,96151145,96434969,96629721,96680521,97351529,97355553,97359574,97382691,97754968,97900495,98138521,98247250,98330452,98649048,98718665,98834998,99033228,99063652,99171930,99266333,99286881,99742584,99949613,...,8804864393233093067261916735175749800730463571699327174048289816370049871202345944542140494206642951147957322701356596363630260400449412704501560224563421845627573386628646350377180645770918350388255750519979082685292678787899056372669305118477750750104432581054775935155501674129257280691496661481966641164186832137348362939153872742670833420939723872907358857603813303803116296232721176993798104317588212259267642070133168359666563252704259631524434429067911010676402750498667804033506065018983917487211299110432641080301980515146578592225791770412776323995268640774192120263208952453078999719257317111158842972439190036033354806473643377487529608805043519747842795931941979594262029063175638795819423401200360673395639391632809224816813603305868273905790811338156697166094768873314809893859675504014212512690578287488059624630400828999083059310087079740050287201025853469033007898367216647714458678595033616556597382576817170986640341784016007076438311814768633984476453822002580277649704526191042108760789243658907419005952102184345828493441621505157952725882937241501940447731078602937922005503892852364029527566800856097454226420053358023609768348680060235950706241322561363175418348736555082025483117208570819781274256142427564328537979647649409782371362194214754869929403448424218060800752833315859937802865808461297789160811881940598644454641928866029422326537751241344387892839187845855661175956203917135767873664367288489448477272987624719001796611587277711509236430248944583007207206440918715560978072119057478940579334126959317748043735759877358382664488883868645616767391946401126942723276412012436938684832176614291313585104590104858027574159955722004286880074561038356006294973940764211547707740070117668163624754163654032374372717795237587257875862404776552027111833915155538792420195787150422189789679935489021631407355578953448553117530047131177876612138651179685635005524054056982080876097704741903283315531793872182917633379663644783713326125937972908003482799221103629802570407878866912146393143873534052421429738343800299606087703757788630556022433406073682867714815922455005588825392449480595857536033190662514913287663364545592074656606550596639312072314861234463222242545223176232640113465855942900743431954340970708888298912009484954017723624767979576679511166795274755532087300159164206027930551825555225181893918549778340433653519284732915200870436520686210002238813201577521746577084365229155389577124546470450889390851332611932855606794016882177347578877733860183506309545115263919654112942480515404059207306074081029525473462336365040856346860111559850489563862710620038075224509819582021032568513320167937100610180086173881111646831311267688229562509854514720108369433707320575044347218775624109392537612651493877841049737420073742696352943111505076819708031240436141496189903360741465612166430080896476035900500257484713820098255266668763626773448888515182243239044406622872643709502172536518331602542823149438154857354443432688359205122416007172707065406570764144774667681275903366322944618478372227348751235757598989004816353511367618521510968073097037519807977041643874719347589409276056199072111550221922051734357758508194475734255899358104827583022338694962141191300132219175481701803289854364901669376464250800207388743839443837121644484433979555648188390652518344660785808388045344693317955484404550452086970062849784010371821805647866979493808261531986501783731601152263374916382307031691777881121145583474427512725630949401943556998982039896439079308365158968459864343094334724247676470214468117658202676121181593972752735053414526023849041624135427498698761872450059146635139813068624030258203842381070588294314539041806649070702789762163}
23152  36145806410453616578647753501552376276794733966689213575281594155721996001272: {324002,462860,555432,624861,878978,1224247,1572908,1638751,2052607,2603407,2866508,3015751,3427447,3645218,4112167,4385551,4472282,4510545,4811248,5022938,5343261,5363144,5412654,5633228,5748151,6033537,6185708,6361025,6397058,6426751,6697687,7219802,7633230,7933933,8142112,8209004,8685224,8720527,9123151,9159876,9770877,9792751,9861548,10045004,10060087,10460551,10497818,10897064,11334190,11525287,11694668,12060908,12259197,12610028,13601028,14429551,15313832,15346327,16129327,16191700,16416584,16649887,16722722,16991642,17039551,17129697,17228061,18075487,18468657,18602138,18609185,19358828,19430040,19620751,19672922,19721384,20725376,20812268,20858397,21858795,22082348,22186557,22331022,22553527,22605698,23131000,23316048,23438551,24157265,24798668,24831425,25262745,25341068,25544285,26022375,26049242,26230554,26584550,26819167,26946928,27103898,27367202,27563287,27757200,27893378,28181407,28428151,28988718,29566761,29607680,29797710,30209708,30260153,30315294,30653142,30749228,31226850,31245007,31488151,31784224,31794632,31821338,31901460,33147065,33308640,33331857,33543247,34028224,34143727,34398861,34421978,34517804,35198525,35529216,35598345,35757252,35768961,36128588,36363041,37119127,37201004,37472220,37971568,38261517,38272268,38281752,38295938,38648551,39066842,39164108,39776478,39877004,39970368,40191837,40767404,40815933,40951025,40977751,41479148,41786167,42238230,42361447,42718014,42826385,43043854,43066971,43086057,43228790,43433804,43506607,43798184,43847385,43919138,44173082,44757967,44966664,44984551,45054112,45187418,45549425,45946658,46093004,46338007,46770544,47006465,47352950,47457967,47662265,47847425,47964962,48869961,49141230,49231304,49272957,49455751,49472642,49676287,49786447,49833357,50587497,50685876,50725082,50884087,51009981,51292925,51391662,51874548,52079145,52093868,52417312,52616862,53219162,53567432,53596687,54027404,54647817,54659310,54694822,54729548,55385217,55415551,55551088,55606508,55946018,55946551,56158447,56407758,56439938,56586237,56823540,57194718,57318727,57416910,58178525,58232588,58303264,58782847,58969476,59325425,59923327,60114813,60263361,60611776,60849967,60859298,60865865,61180550,61244704,61491220,61537454,61551510,61835042,61974607,62344545,62494974,62941388,63303261,63637745,63695551,63896647,64506458,65056925,65444264,65495047,65591172,65654944,65660361,66241004,66484687,66500848,66559821,66919898,66976807,66980585,67145757,67280588,67369207,67799948,68088950,68188248,68636551,68900292,69797018,69814230,70035842,70083751,70275487,70530785,71038617,71190510,71227802,71465762,71703578,71773881,71945097,72271327,72929551,73039038,73210567,73416660,73624797,73754241,73789464,73861812,74049727,74328151,74468512,74513407,74622561,74813454,75017882,75253538,75361025,75742093,75936544,76180904,76365294,76413548,76441207,76670745,76711779,76804807,77025844,77587773,77708767,77798767,78068310,78070178,78126668,78135460,78311104,78694807,79421721,79470722,79514045,79703642,79714649,79935425,80201551,80376702,80377447,80815927,81442865,81527624,81706740,81713804,81774247,81782128,82637887,82809751,82835313,83013147,83238151,83272864,83551853,83664751,83756974,83777076,84101762,84331802,84382985,84636942,84728744,85021058,85428612,85535597,85648925,85703517,85709018,85848657,86020447,86317917,86600551,86644268,86644349,87153856,87156537,87274761,87423151,87765122,87830348,87844600,87992858,88076047,88077597,88099992,89261389,89582978,89688127,89809562,89923865,90197804,90433230,90799447,90878287,91035751,91071785,91115432,91718577,91885004,92004894,92177864,92292482,92560468,92597945,92880537,92966618,92979751,93319773,93681972,93744751,93762552,94087298,94124551,94193561,94409804,95319837,95416854,95650202,95686550,95791553,95878797,95922510,95940177,96100017,96439101,96462112,96732751,96759788,96879127,97044945,97427738,97731438,97765004,97887777,97967767,98048088,98235185,98434508,98754842,98825175,99111127,99112491,...,11739819190977457423015888980234333067640618095599102898731053088493399828269794592722853992275523934863943096935142128484840347200599216939335413632751229127503431182171528467169574194361224467184341000693305443580390238383865408496892406824637001000139243441406367913540668898839009707588662215309288854885582442849797817252205163656894444561252965163876478476805084405070821728310294902658397472423450949679023522760177557812888751003605679508699245905423881347568537000664890405378008086691978556649615065480576854773735974020195438122967722360550368431993691521032256160350945269937438666292343089481545123963252253381377806408631524503316706145073391359663790394575922639459016038750900851727759231201600480897860852522177078966422418137741157698541054415117542262888126358497753079858479567338685616683587437716650746166173867771998777412413449439653400382934701137958710677197822955530285944904793378155408796510102422894648853789045354676101917749086358178645968605096003440370199606034921389478347718991545209892007936136245794437991255495340210603634510582988669253930308104803917229340671857136485372703422401141463272301893404477364813024464906746981267608321763415150900557798315406776033977489611427759708365674856570085771383972863532546376495149592286339826572537931232290747734337111087813250403821077948397052214415842587464859272855905154705896435383668321792517190452250461140881567941605222847690498219156384652597969697316832958669062148783036948678981906998592777342942941921224954081304096158743305254105778835945756997391647679836477843552651845158194155689855928534835923631035216016582584913109568819055084780139453473144036765546607629339049173432748051141341726631921018948730276986760156890884833005551538709832496957060316783010501149873035402702815778553540718389893594382867229586386239913985362175209807438604598070823373396174903835482851534906247513340698738742642774501463606322537711087375725162910556844506218193044951101501250630544004643732294804839736760543838489216195190858498045403228572984458400399474783605010384840741363244541431577156953087896606674118433856599307461143381377587550019884383551152727456099542142067462185749429753148312617629656726964234976853484621141257200991242605787960945184398549345979938690298166357306102239348222393699674042783066878885608037240735767406966909191891399704453911538025712977220267827248694248280002985084268770028995436112486972207186102832728627267852521135110149243807475725355842903130105170311813578008412726820351892872150589974020538745609741432108039367297949781820054475129146815413133986085150280826717433632679759442694710091351093557249467480240114898508148862441748356917639416679806019626811159244943094100059129625034165479190050150201991837121399649893431656928470590815340102426277374987248188661586537814321954149555240107861968047867333676646285093464340355558351502364598518020242990985392542163830191612669563382024442136723764199250873143139257910251145606829888009563609420542094352193032890241701204488430592824637829636465001647676798652006421804681823491362014624097462716693077302722191832959130119212368074932096148733629229402312477011344259300979007865810806436777363118259949521588400176292233975602404386472486535559168619001066943184991785925116162192645911972740864251187536691126214381077850727126257757273979206067269449293417133045347162429074197155972658411015375982002378308801536351166555176409375589037174828194111299236683634174599202591409331976053195252105744486878624613152457459112965663568626952624156877603568161575458630336980071219368031798722165513903331598349163266745528846853084091498707010938456508094117725752718722408865427603719682884}
23153  36275167702042040859778614140810000102094181432096372912215883147928096907541: {486003,578575,694290,740576,833148,1318467,1966135,2359362,2798851,3583135,4209842,4299762,4692751,5467827,6014060,6703930,6708423,6911983,7041535,7124348,7216872,7466791,7534407,7599571,7732135,8044716,8118981,8449842,9278562,9534931,9595587,10177640,10261255,10829703,10856530,10925827,11449845,11697202,12213168,12311767,12313506,12326935,12556255,13027836,13361626,13399603,13621330,13739814,14364511,14529271,14618335,14792322,15067506,15076135,15487351,15746727,15762535,15906943,16345596,16469587,17001285,17256211,17542002,17703127,18018451,18091362,18134704,18915042,19142290,20041747,20239625,20401542,20520730,20616691,20835298,21052867,22568887,22833043,22839596,22970748,23242567,23578562,24198535,24287550,24624876,24651730,24772351,24878503,25084083,25487463,25598551,25906720,26015335,26103187,26919442,27602935,27811196,27820303,27903207,28621183,28625047,28782007,28913750,29038242,29145060,29335951,29509383,29582076,29774696,29959138,30250207,30814066,30965551,30998335,31088064,31111987,31218402,31307347,31676335,32527783,33123522,33158851,33225122,33496533,33683660,33826663,33908547,34696500,34974072,35171587,35460127,35540083,36893026,37009600,37198002,37655347,37685527,37762135,37991311,38011602,38323411,38436535,38651624,38712703,38782351,39073863,39345831,39422348,39730280,39743290,39876825,40189682,40420392,40655847,40798447,40870856,40924226,40968343,41050803,41591962,41635800,41840067,41889751,42102082,42182227,42535280,42669031,43077391,43147255,43483077,43542082,44411520,44442476,44696565,44799751,45160735,45214147,45226543,45314562,45472941,45715351,45865148,45979713,46123842,46501255,46610323,46813891,46840275,46871503,47164927,47363186,47372288,47464460,47466127,47676336,47691948,47732007,47840335,47852190,48607202,48955135,49426087,49846255,49874383,49901122,49962960,50107207,50222227,50333431,50937331,50959255,51015356,51042336,51192658,51632967,51776706,51848935,52546903,53035304,53293824,53430247,53478578,53496367,53589116,53635878,54192882,54292255,54421244,54550963,54747730,54886618,55459687,55674082,55765207,55801506,56208330,56317640,56957352,57245122,57254467,57263731,57408402,57422628,57425023,57443907,57448076,57616255,57713647,58109402,58188242,58463180,58600263,58746162,58757023,59279347,59664717,59815506,59821183,59955552,60710551,61151106,61539130,62218722,63357345,63658183,63965666,64077021,64565781,64774951,64843185,65117335,65150706,65159948,65264186,65521640,65697276,65878707,66259623,66444476,66658291,66959290,67072351,67191763,67449996,67534183,67534255,67581168,67781127,68013308,68178451,68411935,68522216,68763727,68919987,68955727,69139506,69166064,69205106,69331042,69385303,69438860,69508135,70155816,70338067,70663351,71029425,71153407,71160067,71336671,71421751,71559362,71947443,72049207,72078751,72450943,72549811,72790735,72863756,72879080,73411922,73711845,73846956,74137651,74208963,74485087,75210344,75275983,75304162,75407047,75448316,75472807,75764720,75827911,75982322,76028814,76087623,76259624,76555880,76864025,77087493,77595871,77811822,78140802,78216463,78367687,78625968,78676735,78921586,78925293,79726003,79828743,79979887,80153084,80351148,80655631,81041106,81805330,81988965,82042233,82068680,82094322,82183363,82801255,82955503,83054851,83126060,83260147,83326632,83409762,83503927,83772226,83919027,84100735,84402802,84404348,84611637,84659907,84749935,85235310,85499251,85792077,85853191,86125365,86658127,87209138,87348882,87350407,87454896,87547148,88101367,88200883,88446682,88454214,88746428,88884802,89091463,89176951,89527676,89970067,90135506,90420418,90575282,90917664,91025731,91288947,91770825,91867056,92236830,92306181,92327265,92752563,93085640,93421207,93742461,94321666,94412082,94718156,94920680,95226130,95288551,95516935,95698508,95762162,95926796,96175543,96280111,96282305,96388927,96759687,97385384,97658335,97669325,97888880,98166396,98338988,98385952,98386758,98482416,98797891,99151447,99361506,99434962,99496748,99703951,99751272,...,17609728786466186134523833470351499601460927143398654348096579632740099742404691889084280988413285902295914645402713192727260520800898825409003120449126843691255146773257292700754361291541836700776511501039958165370585357575798112745338610236955501500208865162109551870311003348258514561382993322963933282328373664274696725878307745485341666841879447745814717715207626607606232592465442353987596208635176424518535284140266336719333126505408519263048868858135822021352805500997335608067012130037967834974422598220865282160603961030293157184451583540825552647990537281548384240526417904906157999438514634222317685944878380072066709612947286754975059217610087039495685591863883959188524058126351277591638846802400721346791278783265618449633627206611736547811581622676313394332189537746629619787719351008028425025381156574976119249260801657998166118620174159480100574402051706938066015796734433295428917357190067233113194765153634341973280683568032014152876623629537267968952907644005160555299409052382084217521578487317814838011904204368691656986883243010315905451765874483003880895462157205875844011007785704728059055133601712194908452840106716047219536697360120471901412482645122726350836697473110164050966234417141639562548512284855128657075959295298819564742724388429509739858806896848436121601505666631719875605731616922595578321623763881197288909283857732058844653075502482688775785678375691711322351912407834271535747328734576978896954545975249438003593223174555423018472860497889166014414412881837431121956144238114957881158668253918635496087471519754716765328977767737291233534783892802253885446552824024873877369664353228582627170209180209716055148319911444008573760149122076712012589947881528423095415480140235336327249508327308064748745435590475174515751724809553104054223667830311077584840391574300844379579359870978043262814711157906897106235060094262355753224277302359371270011048108113964161752195409483806566631063587744365835266759327289567426652251875945816006965598442207259605140815757733824292786287747068104842859476687600599212175407515577261112044866812147365735429631844910011177650784898961191715072066381325029826575326729091184149313213101193278624144629722468926444485090446352465280226931711885801486863908681941417776597824018969908035447249535959153359022333590549511064174600318328412055861103651110450363787837099556680867307038569465830401740873041372420004477626403155043493154168730458310779154249092940901778781702665223865711213588033764354695157755467720367012619090230527839308225884961030808118414612148162059050946924672730081712693720223119700979127725421240076150449019639164042065137026640335874201220360172347762223293662622535376459125019709029440216738867414641150088694437551248218785075225302987755682099474840147485392705886223010153639416062480872282992379806721482931224332860161792952071801000514969427640196510533337527253546897777030364486478088813245745287419004345073036663205085646298876309714708886865376718410244832014345414130813141528289549335362551806732645889236956744454697502471515197978009632707022735237043021936146194075039615954083287749438695178818552112398144223100443844103468715517016388951468511798716209655166044677389924282382600264438350963403606579708729803338752928501600414777487678887674243288968867959111296376781305036689321571616776090689386635910968809100904173940125699568020743643611295733958987616523063973003567463202304526749832764614063383555762242291166948855025451261898803887113997964079792878158616730317936919728686188669448495352940428936235316405352242363187945505470106829052047698083248270854997397523744900118293270279626137248060516407684762141176588629078083613298141405579524326}
23154  36404988919244384412488775015565634521686743793030366649096626440562891087151: {254573,532013,648004,855329,925720,1041435,1110864,1249722,1546829,1684913,1757956,1914893,2236529,2328353,2448494,2603633,2924429,3145816,3153329,3277502,3473453,3539043,4105214,4158113,4385933,4431473,4840973,5206814,5340593,5733016,6031502,6314763,6336929,6449643,6472493,6698273,6854894,7290436,7517575,7689329,7914029,8224334,8362829,8771102,8905435,8944564,9021090,9622496,9838193,10045876,10055895,10372529,10505933,10686522,10726288,10825308,11266456,11393453,11496302,12067074,12233633,12371416,12674763,12722050,12794116,12853502,13246829,13395374,13817633,13917843,14439604,14474573,14693153,15129713,15266460,15739553,15867866,16284224,16284795,16418008,16954529,17300513,17370448,17441054,17545803,17602829,18120173,18246302,18319752,18470259,19237133,19536929,19541754,19585502,19622513,19665293,19723096,20042439,20090008,20120174,20178029,20431995,20609721,20921102,20995636,21794093,21794128,22090529,22188483,22597793,22601259,22668380,22808813,23050574,23389336,23440673,23482733,23986829,24070733,24121816,24322253,24518394,24615329,24740813,25220056,25325453,25575533,26052859,26199473,26313003,26697329,27137043,27202056,28060493,28225133,28372563,28471853,28549495,28713435,28859102,29782829,30068513,30602313,30627664,30692654,30781095,31004429,31252947,31531553,31895693,32097713,32258654,32339873,32383400,32833168,33299774,33345773,33445444,33546353,33820171,33826829,33983284,34079102,34259394,34426529,34456122,34763995,35223329,35367843,35739533,35761999,35818829,36150974,36431325,36886193,36937314,36977595,37204276,37218370,37398029,37515953,37986929,38717656,38860080,39042413,39241502,39345844,39442768,39820493,39936929,40379163,40518029,41020193,41450752,41624536,41716794,42104575,42250529,42518573,42974503,43320353,43370625,43557363,43717590,43966829,44164696,44373114,44662044,44800013,44913329,44938707,44988833,45026573,45107054,45211396,45215153,46221099,46230029,46262000,46405891,46632096,46827603,46877102,47052653,47350829,47611313,47908529,48314530,48834029,49277935,49460513,49497293,49597336,49662850,49685283,49837683,50011373,50231213,50487329,50525490,50670029,50682136,51088570,51144113,52044750,52098484,52413773,52461108,53169100,53278733,53638334,53816993,53893856,54031793,54207796,54282029,54710093,54734404,54816929,55126574,55339539,55420973,55456433,55514400,55553095,55786756,55797003,56362814,56856302,56938529,57008753,57017403,57331435,57977436,57988529,59133522,59215360,59330575,59595420,59614935,59653553,59956939,59963693,60284523,60419416,60520306,60630588,60650573,61095329,61163633,61306284,61386339,61498456,61878893,62387943,62453700,62490014,62976302,63153123,63231533,63534113,63568448,63589264,63642676,63701933,63769195,63802920,64137329,65313123,65534753,65733233,65809051,66294130,66524273,66617280,66663714,66727171,66986395,67016333,67086494,67971843,68026555,68056448,68092529,68254829,68287454,68797722,68843956,69035608,69185763,69706529,69930893,70122893,70397050,70601633,70760813,71044779,71058432,71196690,71514504,71522093,71537922,71616929,71778285,71810095,71837933,71932529,72257176,72404429,72498593,72726082,72910803,73030829,73078975,73871393,74238254,74366753,74402008,74798513,74851683,74944440,75351329,75443213,75748973,75810029,75943136,76523034,76544536,76563504,76591876,76788987,76812833,77297102,77665059,77716913,78133684,78328216,78911153,79552956,79754008,79940736,80210033,80217867,80239373,80383674,80453817,81289323,81449935,81534808,81631866,81898529,81902050,81955502,82121595,82329927,82474529,82847213,82958296,83055595,83104433,83417933,83511123,83572334,83702093,83702259,83843873,84183329,84312495,84476460,84722894,84802673,84886829,85016635,85212211,85436028,85652770,85863329,85867683,86057453,86087708,86112603,86133942,86172114,86361713,86457580,86775053,86798575,86867608,87013214,87022193,87164103,87282363,87596368,87694770,87838276,87868493,87922829,88112753,88119243,88275233,88346164,89092843,89484653,89515934,89723259,89857613,89933328,89937329,89969102,90016973,90108224,90374836,90414113,90914573,91045793,91072013,91079695,91098850,91726659,91776929,91893316,92166029,92186008,92243633,92308695,92676014,92938829,93322529,93328083,93541088,93755213,93772819,93780593,94012930,94286513,94310395,94663853,94705900,94915934,95214029,95324530,95694850,95785073,95929924,95948499,95958029,96081329,96376433,96743693,97424429,97472813,97726059,97739922,97786529,97896279,97978913,98074913,98282460,98462608,98545914,98743099,98911502,98945284,98980529,99287693,99352574,99572894,99616973,99666714,99921329,...,26414593179699279201785750205527249402191390715097981522144869449110149613607037833626421482619928853443871968104069789090890781201348238113504680673690265536882720159885939051131541937312755051164767251559937248055878036363697169118007915355433252250313297743164327805466505022387771842074489984445899923492560496412045088817461618228012500262819171618722076572811439911409348888698163530981394312952764636777802926210399505078999689758112778894573303287203733032029208251496003412100518195056951752461633897331297923240905941545439735776677375311238328971985805922322576360789626857359236999157771951333476528917317570108100064419420930132462588826415130559243528387795825938782786087189526916387458270203601082020186918174898427674450440809917604821717372434014470091498284306619944429681579026512042637538071734862464178873891202486997249177930261239220150861603077560407099023695101649943143376035785100849669792147730451512959921025352048021229314935444305901953429361466007740832949113578573126326282367730976722257017856306553037485480324864515473858177648811724505821343193235808813766016511678557092088582700402568292362679260160074070829305046040180707852118723967684089526255046209665246076449351625712459343822768427282692985613938942948229347114086582644264609788210345272654182402258499947579813408597425383893367482435645821795933363925786598088266979613253724033163678517563537566983527868611751407303620993101865468345431818962874157005389834761833134527709290746833749021621619322756146682934216357172436821738002380877953244131207279632075147993466651605936850302175839203380828169829236037310816054496529842873940755313770314574082722479867166012860640223683115068018884921822292634643123220210353004490874262490962097123118153385712761773627587214329656081335501745466616377260587361451266569369039806467064894222066736860345659352590141393533629836415953539056905016572162170946242628293114225709849946595381616548752900138990934351139978377813918724010448397663310889407711223636600736439179431620602157264289215031400898818263111273365891668067300218221048603144447767365016766476177348441787572608099571987544739862990093636776223969819651789917936216944583703389666727635669528697920340397567828702230295863022912126664896736028454862053170874303938730038533500385824266596261900477492618083791655476665675545681755649335021300960557854198745602611309562058630006716439604732565239731253095687466168731373639411352668172553997835798566820382050646532042736633201580550518928635345791758962338827441546212177621918222243088576420387009095122569040580334679551468691588131860114225673529458746063097705539960503811301830540258521643334940493933803064688687529563544160325108301121961725133041656326872328177612837954481633523149212260221228089058829334515230459124093721308424488569710082224396836499290242689428107701500772454141460294765800006290880320346665545546729717133219868617931128506517609554994807628469448314464572063330298065077615367248021518121196219712292434324003043827710098968833855435116682046253707272796967014449060534102855564532904219291112559423931124931624158042768227828168597216334650665766155203073275524583427202767698074314482749067016084886423573900396657526445105409869563094705008129392752400622166231518331511364933453301938666944565171957555033982357425164136034079953866453213651356260910188549352031115465416943600938481424784595959505351194803456790124749146921095075333643363436750423282538176892848205830670996946119689317237925095476905379593029283004172743029410643404352974608028363544781918258205160243578071547124872406282496096285617350177439905419439205872090774611527143211764882943617125419947212108369286489}
23155  36535271686505859603995517607294806258499464343978446404518570331439985359283: {810005,972006,1157150,1388580,1481152,1666296,1874583,2197445,2636934,2752589,3307733,3672741,3932270,4718724,4916253,5016389,5597702,6157821,7166270,7810221,8345237,8419684,8599524,9047253,9113045,9385502,9858149,10282341,10824989,10935654,11180705,12028120,12336501,12557345,12912341,13156653,13407860,13416846,13531635,13823966,14083070,14248696,14365757,14433744,14933582,15068814,15199142,15464270,15992645,16029783,16089432,16237962,16238597,16899684,17244453,17257709,17578757,18049505,18100611,18303233,18526013,18557124,19069862,19083075,19191174,19280253,20093061,20355280,20465669,20522510,21106589,21294533,21659406,21713060,21851654,22067549,22899690,23394404,23685701,23801799,24426336,24623534,24627012,24653870,24880661,25112510,26055672,26105453,26161581,26244545,26277869,26480789,26672321,26723252,26799206,27242660,27369453,27479628,28335475,28729022,29058542,29236670,29312631,29378253,29584644,30135012,30152270,30180261,30252833,30766973,30849221,30968237,30974702,31381653,31493454,31525070,31597889,31813886,31988381,32154749,32368613,32691192,32939174,33829601,33877949,34002570,34512422,34575861,34608557,35084004,35406254,36036902,36182724,36269408,36354581,36421469,36777591,37830084,37905653,37994609,38191373,38284580,38644109,38716061,39187733,40083494,40120469,40479250,40674173,40803084,41041460,41233382,41566421,41670596,41806805,41887301,42105734,42460877,42479105,42672737,43288653,43397669,43612133,44346869,44537441,44803637,45137774,45666086,45679192,45719333,45941496,46038981,46485134,46505345,46817957,47157124,47688917,47889389,48387981,48397070,48575100,48803201,49182305,49249752,49303460,49544702,49680749,49757006,49949661,50168166,50337797,50739653,50974926,51118653,51197102,51389091,51684183,51813440,52030670,52039649,52206374,52551461,52866989,53434901,53811149,53838884,54027233,54226461,54555701,55205870,55405971,55622392,55640606,55806414,55827555,56225213,56514245,57242366,57250094,57564014,57655553,57827500,58076484,58290120,58485461,58671902,58862253,59018766,59164152,59284493,59353541,59549392,59918276,60406157,60500414,61628132,61931102,61996670,62176128,62223974,62436804,62575191,62614694,63225029,63352670,64780577,65055566,65101757,65123105,65576385,66247044,66317702,66450244,66461375,66559671,66976469,66993066,67342997,67367320,67653326,67660581,67759745,67817094,68418005,68537189,68961713,69242189,69393000,69733445,69784757,69948144,70315653,70343174,70344173,70920254,71080166,71147381,71166293,71342957,71748833,72319421,72471795,72556109,72588509,72756737,73506053,73508621,73786052,74019200,74396004,74491553,74494275,75310694,75371054,75479381,75524270,75788235,75834497,75982622,76009157,76023204,76347389,76632855,76646822,76873070,77303248,77425406,77564702,78067125,78147726,78691662,78844696,79460560,79486580,79553345,79753650,80379364,80457501,80574533,80607533,80662757,80840784,81311694,81596894,81741712,81848452,81936686,82101606,82190501,82622369,82689861,83183924,83271600,83511233,83680134,83779502,84098261,84131981,84204164,84364454,84544221,84545549,85070560,85284453,85338062,85506677,86014529,86054945,86154782,86294510,86724797,86966154,87084164,88700283,88823040,88884952,89099201,89393130,89599502,90321470,90428294,90453086,90629124,90780459,90945882,91033637,91100549,91164269,91430702,91538609,91730296,91950749,91959426,92247684,93002510,93220646,93374573,93627782,93680550,93735021,93743006,94111349,94329854,94464453,94547957,94726372,94744576,94928920,94932254,95352672,95383896,95464014,95680670,95704380,95739845,95776709,97175453,97214404,97311389,97667105,97910270,98155733,98852174,99441195,99668357,99692510,99748766,99802244,99925920,99936773,99995571,...,35219457572932372269047666940702999202921854286797308696193159265480199484809383778168561976826571804591829290805426385454521041601797650818006240898253687382510293546514585401508722583083673401553023002079916330741170715151596225490677220473911003000417730324219103740622006696517029122765986645927866564656747328549393451756615490970683333683758895491629435430415253215212465184930884707975192417270352849037070568280532673438666253010817038526097737716271644042705611001994671216134024260075935669948845196441730564321207922060586314368903167081651105295981074563096768481052835809812315998877029268444635371889756760144133419225894573509950118435220174078991371183727767918377048116252702555183277693604801442693582557566531236899267254413223473095623163245352626788664379075493259239575438702016056850050762313149952238498521603315996332237240348318960201148804103413876132031593468866590857834714380134466226389530307268683946561367136064028305753247259074535937905815288010321110598818104764168435043156974635629676023808408737383313973766486020631810903531748966007761790924314411751688022015571409456118110267203424389816905680213432094439073394720240943802824965290245452701673394946220328101932468834283279125097024569710257314151918590597639129485448776859019479717613793696872243203011333263439751211463233845191156643247527762394577818567715464117689306151004965377551571356751383422644703824815668543071494657469153957793909091950498876007186446349110846036945720995778332028828825763674862243912288476229915762317336507837270992174943039509433530657955535474582467069567785604507770893105648049747754739328706457165254340418360419432110296639822888017147520298244153424025179895763056846190830960280470672654499016654616129497490871180950349031503449619106208108447335660622155169680783148601688759158719741956086525629422315813794212470120188524711506448554604718742540022096216227928323504390818967613133262127175488731670533518654579134853304503751891632013931196884414519210281631515467648585572575494136209685718953375201198424350815031154522224089733624294731470859263689820022355301569797922383430144132762650059653150653458182368298626426202386557248289259444937852888970180892704930560453863423771602973727817363882835553195648037939816070894499071918306718044667181099022128349200636656824111722207302220900727575674199113361734614077138931660803481746082744840008955252806310086986308337460916621558308498185881803557563405330447731422427176067528709390315510935440734025238180461055678616451769922061616236829224296324118101893849345460163425387440446239401958255450842480152300898039278328084130274053280671748402440720344695524446587325245070752918250039418058880433477734829282300177388875102496437570150450605975511364198949680294970785411772446020307278832124961744565984759613442965862448665720323585904143602001029938855280393021066675054507093795554060728972956177626491490574838008690146073326410171292597752619429417773730753436820489664028690828261626283056579098670725103613465291778473913488909395004943030395956019265414045470474086043872292388150079231908166575498877390357637104224796288446200887688206937431034032777902937023597432419310332089354779848564765200528876701926807213159417459606677505857003200829554975357775348486577937735918222592753562610073378643143233552181378773271821937618201808347880251399136041487287222591467917975233046127946007134926404609053499665529228126767111524484582333897710050902523797607774227995928159585756317233460635873839457372377338896990705880857872470632810704484726375891010940213658104095396166496541709994795047489800236586540559252274496121032815369524282353177258156167226596282811159048652}
23156  36666017633971408367178828290271512915014141746355688853744050341487573767799: {300859,509146,1064026,1296008,1458009,1710658,1735725,1851440,2082870,2221728,2236723,2374459,2499444,2924683,3093658,3199363,3369826,3515912,3747859,3829786,3955401,4431859,4473058,4656706,4896988,5207266,5848858,5898405,6291632,6306658,6555004,6946906,7078086,7959643,8210428,8316226,8396553,8498059,8632483,8771866,8862946,9681946,9972763,10373443,10413628,10524605,10681186,10749405,11039803,11466032,12063004,12467609,12629526,12673858,12899286,12944986,13396546,13687243,13709788,13818859,14078253,14580872,15035150,15131059,15378658,15828058,15914923,16403481,16448668,16725658,16759825,17542204,17604403,17810870,17889128,18042180,19024459,19244992,19538683,19667059,19676386,20091752,20111790,20125269,20735949,20745058,21011866,21124605,21373044,21452576,21456763,21650616,22092523,22346323,22400373,22532912,22603221,22786906,22798713,22853059,22992604,23196405,23484859,24114859,24134148,24356943,24467266,24617563,24742832,24868483,25349526,25369459,25444100,25588232,25707004,26493658,26616859,26790748,27141325,27635266,27835686,28351123,28604793,28786761,28879208,28949146,29243005,29386306,30259426,30438043,30532920,30783765,31047883,31479106,31735732,32141059,32489109,32568448,32569590,32777481,32836016,33348859,33404065,33829963,33909058,34053325,34070083,34349535,34429723,34601026,34740896,34882108,35027683,35091606,35205658,35623843,35742859,35861803,36240346,36492604,36639504,36929059,36935301,36940518,36980805,37637323,37668765,37990483,38474266,39073858,39083508,39171004,39245026,39330586,39446192,39863059,39969293,39979483,40084878,40180016,40198809,40240348,40356058,40863990,41219442,41842204,41991272,42062803,42177859,42292843,42637363,43093533,43587813,43588186,43588256,43855005,44008963,44181058,44376966,44917603,45030859,45195586,45202518,45228405,45336760,45617626,46101148,46462053,46778672,46881346,46965466,47240181,47287605,47392603,47551669,47720829,47855725,47973658,48141466,48243632,48644506,48669593,48838723,49036788,49230658,49408761,49481626,49502059,50440112,50492203,50650906,50788049,51003855,51151066,51301825,51768633,52088245,52105718,52398946,52626006,52671643,53109381,53319859,53394658,54055353,54274086,54287323,54404112,54822283,55461859,56098843,56120986,56416363,56450266,56745126,56943706,56944123,57049459,57098990,57426870,57575059,57718204,58516603,58946405,59565658,60125241,60137026,60718875,61204626,61255328,61306243,61385308,61562190,61612963,61629325,61850073,62008858,62326123,62505894,63063106,63158601,63237859,63791386,64195426,64344283,64517308,64679746,64766800,65666336,65739859,66234859,66599548,66691546,66890888,67092706,67298605,67640342,67653658,67706661,67966568,68099443,68158204,68294203,68499129,68518788,68853058,68912244,68989109,69527990,69553123,69727701,69745723,70446658,70608859,70735686,71479066,71523998,71561059,71637658,72128923,72284375,72301948,72411883,72506059,72595605,72600163,72862650,73069603,73772386,73874628,73910059,73955190,74281723,74317053,74408552,74436740,74635509,74796058,74897845,74929363,75031906,75205843,75252249,75389803,75756859,75973858,76462389,76795653,77035165,77435312,77720160,77774333,78046005,78084826,78309561,78483004,78691688,78885536,79275283,79640986,79873858,80247859,80264009,80758326,81036058,81037123,81993859,82040386,82808805,82901504,83062805,83249072,83433588,83460909,83709621,84209150,84220603,84501058,85037146,85399459,85863549,85875141,85900363,85949006,86232859,86346021,86640706,86741250,87059059,87114726,87141283,87435180,87551323,87933658,87959563,88007853,88329392,88528149,88746228,89276873,89324088,89494459,89600026,89826658,89877414,89894059,89977666,90053146,90212443,90214108,90422792,90430306,90608803,90750621,91082059,91552723,92176243,92232565,92253859,92442198,92460058,92524000,92811782,92896653,92949163,92995005,93102883,93264192,93332923,93335961,93655206,93714883,93754204,93780953,93791059,93922041,94105306,94701658,95029005,95222626,95237177,95817058,95968843,96116803,96411859,96485443,96629060,97583349,97668058,97797643,98555870,98873323,98921026,98994586,99015523,99194672,99325700,99358225,99369763,99370566,99476553,99675366,99932803,...,52829186359398558403571500411054498804382781430195963044289738898220299227214075667252842965239857706887743936208139578181781562402696476227009361347380531073765440319771878102263083874625510102329534503119874496111756072727394338236015830710866504500626595486328655610933010044775543684148979968891799846985120992824090177634923236456025000525638343237444153145622879822818697777396327061962788625905529273555605852420799010157999379516225557789146606574407466064058416502992006824201036390113903504923267794662595846481811883090879471553354750622476657943971611844645152721579253714718473998315543902666953057834635140216200128838841860264925177652830261118487056775591651877565572174379053832774916540407202164040373836349796855348900881619835209643434744868028940182996568613239888859363158053024085275076143469724928357747782404973994498355860522478440301723206155120814198047390203299886286752071570201699339584295460903025919842050704096042458629870888611803906858722932015481665898227157146252652564735461953444514035712613106074970960649729030947716355297623449011642686386471617627532033023357114184177165400805136584725358520320148141658610092080361415704237447935368179052510092419330492152898703251424918687645536854565385971227877885896458694228173165288529219576420690545308364804516999895159626817194850767786734964871291643591866727851573196176533959226507448066327357035127075133967055737223502814607241986203730936690863637925748314010779669523666269055418581493667498043243238645512293365868432714344873643476004761755906488262414559264150295986933303211873700604351678406761656339658472074621632108993059685747881510627540629148165444959734332025721280447366230136037769843644585269286246440420706008981748524981924194246236306771425523547255174428659312162671003490933232754521174722902533138738079612934129788444133473720691318705180282787067259672831907078113810033144324341892485256586228451419699893190763233097505800277981868702279956755627837448020896795326621778815422447273201472878358863241204314528578430062801797636526222546731783336134600436442097206288895534730033532952354696883575145216199143975089479725980187273552447939639303579835872433889167406779333455271339057395840680795135657404460591726045824253329793472056909724106341748607877460077067000771648533192523800954985236167583310953331351091363511298670042601921115708397491205222619124117260013432879209465130479462506191374932337462747278822705336345107995671597133640764101293064085473266403161101037857270691583517924677654883092424355243836444486177152840774018190245138081160669359102937383176263720228451347058917492126195411079921007622603661080517043286669880987867606129377375059127088320650216602243923450266083312653744656355225675908963267046298424520442456178117658669030460918248187442616848977139420164448793672998580485378856215403001544908282920589531600012581760640693331091093459434266439737235862257013035219109989615256938896628929144126660596130155230734496043036242392439424584868648006087655420197937667710870233364092507414545593934028898121068205711129065808438582225118847862249863248316085536455656337194432669301331532310406146551049166854405535396148628965498134032169772847147800793315052890210819739126189410016258785504801244332463036663022729866906603877333889130343915110067964714850328272068159907732906427302712521820377098704062230930833887201876962849569191919010702389606913580249498293842190150667286726873500846565076353785696411661341993892239378634475850190953810759186058566008345486058821286808705949216056727089563836516410320487156143094249744812564992192571234700354879810838878411744181549223054286423529765887234250839894424216738572978}
23157  36797228397505569220966056394156013441234836144660048973281906526320457798185: {763719,1134007,1596039,1620010,1944012,2314300,2565987,2777160,2962304,3076423,3124305,3332592,3749166,3909139,4394890,4640487,5054739,5273868,5505178,5744679,6121235,6615466,6709587,6985059,7345482,7374323,7810899,7864540,8193755,8773287,9038747,9437448,9459987,9832506,10032778,10263035,10420359,10617129,11195404,11942183,12315642,12474339,12758263,13017035,13157799,13294419,14332540,14522919,14983463,15078755,15620442,15652987,16021779,16100003,16690474,16839368,17137235,17199048,17580283,18094506,18226090,18771004,18944289,19010787,19348929,19417479,19426259,19716298,20094819,20560835,20564682,20801387,21056519,21649978,21871308,21894379,21927755,22361410,22389703,22552725,22572803,23067987,23150243,23742087,24056240,24673002,24957047,25088487,25114690,25269307,25824682,26313306,26716305,26815720,26833692,27063270,27116903,27450443,27647932,28135739,28166140,28497392,28731514,28740755,28867488,29369383,29514579,29867164,30137628,30167685,30398284,30851899,30928540,31117587,31459403,31517799,31805125,31985290,32059566,32133755,32178864,32475924,32477194,32533427,33488435,33799368,34180359,34488906,34515418,34611559,35157514,36099010,36201222,36606466,36700899,36742363,37052026,37114248,37661879,38001067,38024289,38139724,38166150,38382348,38560506,39557963,39669665,39740487,40186122,40710560,40931338,41045020,41452899,41753529,42213178,42464563,42589066,42658279,43318812,43423719,43426120,43602635,43703308,43717619,44079459,44135098,44234867,45135259,45389139,45615755,45799380,46788808,47218659,47371402,47474363,47603598,47693059,47893543,48852672,48854385,48963755,49247068,49254024,49307740,49761322,50115899,50225020,50300435,50863587,50946167,51901539,52044163,52111344,52168939,52210906,52302755,52323162,52489090,52555738,52637409,52808487,52961578,53344642,53446504,53573987,53598412,54031939,54360519,54485320,54738906,54959256,55410777,55525543,55774883,56669447,56670950,57148387,57434987,57458044,57626435,57711399,58117084,58473340,58529527,58610787,58625262,58756506,58867539,58995879,59169288,59463659,59470747,59831579,60127317,60222503,60270024,60304540,60360522,60468019,60505666,60534087,61295985,61533946,61698442,61829163,61936474,61949404,62763306,62986908,63050140,63195778,63627772,63976762,64309498,64737226,65107483,65220347,65382279,65382384,65878348,66271587,66447979,66565449,67348843,67446083,67659202,67693043,67755898,67793379,67803777,68005140,68426439,68855227,69024844,69151722,69217114,69248203,69308039,69870323,70168008,70322019,70448199,70812508,71434163,71960487,72073804,72147755,72212199,72325699,72365448,72538816,72709162,72842938,72966759,73555182,73655219,73845987,74222439,75660168,75811306,75976359,75989218,76382746,76569160,76726599,76731635,76836107,76881143,77288218,77432122,77774443,78158577,78375466,78598419,78939009,79119943,80091987,80166988,80198759,80240938,80646635,80958500,81348346,81411129,81606168,82082920,82466764,83132842,83249435,83341192,83613610,83774602,84025523,84105619,84181479,84211468,84675399,84921754,84958210,85117689,85197755,85345474,85415559,85648485,86140305,86577306,86795338,87224266,87717787,88693738,89074882,89348487,89607274,89828327,89985863,90205539,90275548,90377435,90734627,91172347,91332172,91358384,91361819,91438666,91806939,91882992,92077962,92343285,92803363,92970268,93010690,93013287,93045925,93046763,93635914,93758841,94119523,94314248,94594659,94863643,95377834,95687079,95778778,95785207,96003907,96293139,96296843,96460103,96775962,96794140,97019619,97150200,97606402,97626823,98103755,98364610,98499504,98606920,99089404,99361498,99514012,99899322,99917467,...,79243779539097837605357250616581748206574172145293944566434608347330448840821113500879264447859786560331615904312209367272672343604044714340514042021070796610648160479657817153394625811938265153494301754679811744167634109091091507354023746066299756750939893229492983416399515067163315526223469953337699770477681489236135266452384854684037500788457514856166229718434319734228046666094490592944182938858293910333408778631198515236999069274338336683719909861611199096087624754488010236301554585170855257384901691993893769722717824636319207330032125933714986915957417766967729082368880572077710997473315854000429586751952710324300193258262790397387766479245391677730585163387477816348358261568580749162374810610803246060560754524695283023351322429752814465152117302043410274494852919859833289044737079536127912614215204587392536621673607460991747533790783717660452584809232681221297071085304949829430128107355302549009376443191354538879763076056144063687944806332917705860288084398023222498847340735719378978847103192930166771053568919659112456440974593546421574532946435173517464029579707426441298049535035671276265748101207704877088037780480222212487915138120542123556356171903052268578765138628995738229348054877137378031468305281848078956841816828844688041342259747932793829364631035817962547206775499842739440225792276151680102447306937465387800091777359794264800938839761172099491035552690612700950583605835254221910862979305596405036295456888622471016169504285499403583127872240501247064864857968268440048802649071517310465214007142633859732393621838896225443980399954817810550906527517610142484509487708111932448163489589528621822265941310943722248167439601498038581920671049345204056654765466877903929369660631059013472622787472886291369354460157138285320882761642988968244006505236399849131781762084353799708107119419401194682666200210581036978057770424180600889509247860617170715049716486512838727884879342677129549839786144849646258700416972803053419935133441756172031345192989932668223133670909802209317538294861806471792867645094202696454789333820097675004201900654663145809433343302095050299428532045325362717824298715962634219588970280910328671909458955369753808650833751110169000182907008586093761021192703486106690887589068736379994690208085364586159512622911816190115600501157472799788785701432477854251374966429997026637045266948005063902881673562596236807833928686175890020149318814197695719193759287062398506194120918234058004517661993507395700461146151939596128209899604741651556785906037375276887016482324638636532865754666729265729261161027285367707121741004038654406074764395580342677020588376238189293116619881511433905491620775564930004821481801409194066062588690632480975324903365885175399124968980616984532838513863444900569447636780663684267176488003545691377372281163925273465709130246673190509497870728068284323104502317362424380884297400018872640961039996636640189151399659605853793385519552828664984422885408344943393716189990894195232846101744064554363588659136877302972009131483130296906501566305350046138761121818390901043347181602308566693598712657873337678271793374794872474128304683484505791649003951997298465609219826573750281608303094222943448247201048254659270721701189972579335316229608689284115024388178257201866498694554994534094800359905816000833695515872665101947072275492408102239861599359640954068782730565648056093346396250830802815444274353787878516053584410370370374247440763285226000930090310251269847614530678544617492012990838359067951713775286430716138779087849012518229088231930213058923824085090634345754774615480730734214641374617218847488288856852050532319716258317617616272323834581429635294648830851376259841636325107859467}
23158  36928905618712413082763069750985735285668534948403297407111759242994444469159: {601718,947797,1018292,1362841,1639177,2128052,2328757,2430015,2592016,2892875,2916018,3016537,3153877,3421316,3471450,3702880,4165740,4443456,4473446,4523317,4748918,4998888,5623749,5749657,5849366,5885557,6187316,6398726,6428437,6592335,6739652,7031824,7495718,7659572,7910802,7915417,8257767,8857141,8863718,8946116,9313412,9527641,9793976,9795337,9830675,9923199,10196341,10414532,10463317,10596697,10863241,11018223,11697716,11793877,11796810,12583264,12613316,13110008,13249177,13893812,13907797,13994255,14156172,14564617,14734447,14748759,15049167,15219637,15919286,16420856,16632452,16793106,16996118,17044117,17264966,17543732,17725892,17915675,18080341,18473463,19363892,19626037,19754377,19945526,20267017,20650741,20746886,20827256,21049210,21362372,21498810,22079606,22932064,23192341,23430663,23463755,24075097,24126008,24935218,25035711,25259052,25347716,25798572,25889972,25954837,26793092,26950741,27141759,27339135,27374486,27419576,27637718,27942037,28156506,28559257,28805641,29161744,29574447,30070300,30262118,30757316,30847023,31656116,31829846,32474967,32708617,32806962,32897336,33451316,33519650,33542115,33672841,33913177,34512757,34559915,35084408,35207675,35208806,35229877,35621740,35778256,35825497,36084360,37009503,37333955,37672035,37997855,38048918,38489984,38659417,38660675,38737023,39077366,39334118,39352772,39469959,40177141,40183504,40223580,40250538,40594905,40940207,40989337,41471898,41490116,41913241,42023732,42249210,42746088,42905152,42913526,43097271,43301232,43633141,44185046,44202841,44692646,44800746,44997397,45065824,45206442,45573812,45597426,45706118,45985208,46392810,46765691,46800277,46969718,47674655,47977935,48089349,48140341,48229718,48268296,48713886,48715791,48917257,48934532,49235126,49485664,49736966,49800841,50021017,50570197,50699052,50738918,50888200,51176464,51226837,51306275,51414008,51733359,51773127,52206937,52736271,52987316,53145983,53233718,53581496,53612341,54148515,54282650,54301833,54629135,54909699,55270532,55578039,55671372,56197427,56702246,56809141,57019957,57209586,57249225,57573522,57758416,57840759,57898292,58069717,58486010,58696117,58772612,58904341,59216137,59423641,59734357,60279183,60518852,60662617,60876086,61065840,61175797,61397007,61558835,61567530,61634675,62095766,62781275,62805877,62958212,63311497,63319767,63471464,63883599,64016341,64217077,64282118,64978218,65136896,65139180,65554962,65672032,66202647,66697718,66808130,66998015,67291657,67659926,67818116,67976341,68106650,68140166,68171317,68699070,68859446,69202052,69481792,69764216,70055366,70105237,70183212,70411316,70679797,71057103,71247686,71405397,71485718,71723606,71822555,72010357,72480692,72646355,72923543,72985208,73045897,73091675,73233241,73279008,73858118,73870602,73881036,73961610,74641983,75274646,75337530,75380675,75825817,75980966,76647157,76919641,76948532,77436755,77823241,78147716,78167016,78316359,78342008,78484743,78490052,78540937,78661172,78733635,78812675,78833607,78892384,78987157,79442367,79534715,79726118,79785817,79938586,79958966,80016963,80169756,80226997,80360032,80397618,80480696,80490841,80712116,80929141,81727980,82108359,82347935,82438884,82524967,82664341,83350357,83684408,83982544,84125606,84355718,84585686,85006425,85274726,85881877,86187066,86281055,87175626,87176372,87176512,87710010,87937893,87941977,88017926,88134759,88348597,88362116,88515635,88753932,89075977,89317141,89835206,90061718,90092255,90354697,90391172,90405036,90456810,90540783,90673520,90758499,90908341,91235252,91301641,91849237,92082841,92202296,92300919,92547663,92904711,92924106,93010777,93557344,93762692,93852277,93930932,94144959,94218047,94480362,94575210,94785206,94793667,95103338,95285257,95441658,95711450,95947316,95965143,96282932,96464247,96487264,96838837,97105839,97131157,97289012,97339186,97494937,97677446,98073576,98461316,98789641,98817522,98963252,99004118,99145141,99990997,...,105658372718797116807143000822108997608765562860391926088579477796440598454428151334505685930479715413775487872416279156363563124805392952454018722694761062147530880639543756204526167749251020204659069006239748992223512145454788676472031661421733009001253190972657311221866020089551087368297959937783599693970241985648180355269846472912050001051276686474888306291245759645637395554792654123925577251811058547111211704841598020315998759032451115578293213148814932128116833005984013648402072780227807009846535589325191692963623766181758943106709501244953315887943223689290305443158507429436947996631087805333906115669270280432400257677683720529850355305660522236974113551183303755131144348758107665549833080814404328080747672699593710697801763239670419286869489736057880365993137226479777718726316106048170550152286939449856715495564809947988996711721044956880603446412310241628396094780406599772573504143140403398679168590921806051839684101408192084917259741777223607813717445864030963331796454314292505305129470923906889028071425226212149941921299458061895432710595246898023285372772943235255064066046714228368354330801610273169450717040640296283317220184160722831408474895870736358105020184838660984305797406502849837375291073709130771942455755771792917388456346330577058439152841381090616729609033999790319253634389701535573469929742583287183733455703146392353067918453014896132654714070254150267934111474447005629214483972407461873381727275851496628021559339047332538110837162987334996086486477291024586731736865428689747286952009523511812976524829118528300591973866606423747401208703356813523312679316944149243264217986119371495763021255081258296330889919468664051442560894732460272075539687289170538572492880841412017963497049963848388492472613542851047094510348857318624325342006981866465509042349445805066277476159225868259576888266947441382637410360565574134519345663814156227620066288648683784970513172456902839399786381526466195011600555963737404559913511255674896041793590653243557630844894546402945756717726482408629057156860125603595273052445093463566672269200872884194412577791069460067065904709393767150290432398287950178959451960374547104895879278607159671744867778334813558666910542678114791681361590271314808921183452091648506659586944113819448212683497215754920154134001543297066385047601909970472335166621906662702182727022597340085203842231416794982410445238248234520026865758418930260958925012382749864674925494557645410672690215991343194267281528202586128170946532806322202075714541383167035849355309766184848710487672888972354305681548036380490276162321338718205874766352527440456902694117834984252390822159842015245207322161034086573339761975735212258754750118254176641300433204487846900532166625307489312710451351817926534092596849040884912356235317338060921836496374885233697954278840328897587345997160970757712430806003089816565841179063200025163521281386662182186918868532879474471724514026070438219979230513877793257858288253321192260310461468992086072484784878849169737296012175310840395875335421740466728185014829091187868057796242136411422258131616877164450237695724499726496632171072911312674388865338602663064620812293102098333708811070792297257930996268064339545694295601586630105780421639478252378820032517571009602488664926073326045459733813207754667778260687830220135929429700656544136319815465812854605425043640754197408124461861667774403753925699138383838021404779213827160498996587684380301334573453747001693130152707571392823322683987784478757268951700381907621518372117132016690972117642573617411898432113454179127673032820640974312286188499489625129984385142469400709759621677756823488363098446108572847059531774468501679788848433477145956}
23159  37061050944955548109561214271755535736136430766976451996506012465081120233306: {23159,902577,1272865,1527438,2268014,2660065,3192078,3240020,3888024,4276645,4325497,4374027,4628600,5131974,5207175,5554320,5924608,6152846,6248610,6665184,6710169,7123377,7498332,7734145,7818278,7882897,8424565,8569729,8715109,8774049,8789780,9280974,9574465,9598089,10102129,10109478,10547736,11010356,11182645,11243577,11471257,11489358,11641765,11866203,12242470,13018165,13230932,13295577,13419174,13970118,14113489,14368249,14622145,14690964,14748646,15491377,15621798,15729080,15766645,16387510,16885369,17010697,17367265,17546574,17695215,17707729,17994121,18077494,18223849,18874896,18919974,19657249,19665012,20065556,20526070,20766001,20790565,20840718,21110257,21234258,21929665,22157365,22390808,22574761,23248609,23878929,23884366,23934997,23992129,24204865,24631284,24884977,24948678,25189659,25494177,25516526,25873801,25897449,26034070,26315598,26588838,26676949,26702965,27119257,27623761,27846697,28665080,28785169,28789489,29045838,29343577,29918289,29966926,30157510,30698857,30973609,31120329,31240884,31305974,31573815,31684645,32043558,32047249,32160337,32200006,32248215,32362465,32536249,33119409,33167497,33380948,33491365,33629017,33678736,34274470,34398096,34677577,34879189,35013877,35160566,36189012,36360889,36452180,37402827,37542008,37587875,37888578,38021574,38446645,38697858,38722777,38834958,38852518,39432596,39474481,39561397,39570145,40189638,40237057,40341289,41061729,41121670,41129364,41456577,41602774,41814145,41894569,42113038,42234759,43299956,43742616,43788758,43855510,44008177,44211841,44238709,44457817,44527175,44722820,44779406,44811409,44987257,45105450,45145606,45393177,46135974,46300486,46883809,47478481,47484174,47744769,48112480,48811669,49190965,49210443,49346004,49438969,49914094,50176974,50229380,50279475,50346529,50538614,50748457,51245497,51400009,51649364,51666277,51862645,52529665,52560577,52626612,52813209,53236777,53432610,53631440,53667384,54126540,54233806,54356089,54900886,55295864,55537531,55779721,56271478,56332280,56674369,56967265,56994784,57073377,57233737,57439969,57463028,57481510,57665557,57728689,57734976,58241269,58495609,58616049,58738766,59001177,59029158,59468821,59734328,59876809,60275256,60335370,60375807,60726457,60796568,61043689,61168165,61703798,61857080,62207847,62235174,62918806,63035598,63373815,63564601,63610250,63862057,63925969,63970580,64119132,64267510,64357728,64370289,64755877,64951848,64954388,65066854,66234145,66277569,66976870,67038969,67201119,67451941,67598736,67809663,68196337,68360718,68396139,68549257,68559177,68781649,68977812,69030836,69088165,69223118,69589215,69687937,69876409,70315028,70420609,70454577,70650997,70752769,71172049,72097537,72198020,72344577,72372865,72402444,72769381,72893329,73070829,73212932,73223857,73401798,73465765,73484726,73852689,74104052,74228496,74605449,74623321,75323758,75426709,75648565,76002134,76048578,76108377,76279448,76332300,76360657,76764696,76887817,77121012,77616169,78090361,78697765,79046809,79115926,79339330,79480974,79850577,80000869,80205721,80372244,80677009,81421120,81423975,81811489,81862676,82090040,82905798,82917361,83076697,83507058,84032821,84426356,84560377,84720049,84772645,84929126,85053369,85178132,85316558,85814379,85875649,86029477,86125777,86360283,86502565,86637624,86847438,86852240,87047077,87205270,87406616,87435238,87729015,88014145,88124329,88158918,88270196,88469734,89836129,90270518,90600865,90778278,91231510,91314129,91351189,91369777,91554517,91598760,92351295,93143649,93577616,93825397,94437318,94742804,94923961,94948726,95207196,95313397,95386118,95787086,96185665,96414049,96423177,96468481,97467327,97684645,97705344,97708770,97927510,98112565,98326465,98332443,98494136,98508048,98615480,99177289,99353617,99522644,99729937,...,158487559078195675210714501233163496413148344290587889132869216694660897681642227001758528895719573120663231808624418734545344687208089428681028084042141593221296320959315634306789251623876530306988603509359623488335268218182183014708047492132599513501879786458985966832799030134326631052446939906675399540955362978472270532904769709368075001576915029712332459436868639468456093332188981185888365877716587820666817557262397030473998138548676673367439819723222398192175249508976020472603109170341710514769803383987787539445435649272638414660064251867429973831914835533935458164737761144155421994946631708000859173503905420648600386516525580794775532958490783355461170326774955632696716523137161498324749621221606492121121509049390566046702644859505628930304234604086820548989705839719666578089474159072255825228430409174785073243347214921983495067581567435320905169618465362442594142170609899658860256214710605098018752886382709077759526152112288127375889612665835411720576168796046444997694681471438757957694206385860333542107137839318224912881949187092843149065892870347034928059159414852882596099070071342552531496202415409754176075560960444424975830276241084247112712343806104537157530277257991476458696109754274756062936610563696157913683633657689376082684519495865587658729262071635925094413550999685478880451584552303360204894613874930775600183554719588529601877679522344198982071105381225401901167211670508443821725958611192810072590913777244942032339008570998807166255744481002494129729715936536880097605298143034620930428014285267719464787243677792450887960799909635621101813055035220284969018975416223864896326979179057243644531882621887444496334879202996077163841342098690408113309530933755807858739321262118026945245574945772582738708920314276570641765523285977936488013010472799698263563524168707599416214238838802389365332400421162073956115540848361201779018495721234341430099432973025677455769758685354259099679572289699292517400833945606106839870266883512344062690385979865336446267341819604418635076589723612943585735290188405392909578667640195350008403801309326291618866686604190100598857064090650725435648597431925268439177940561820657343818917910739507617301667502220338000365814017172187522042385406972213381775178137472759989380416170729172319025245823632380231201002314945599577571402864955708502749932859994053274090533896010127805763347125192473615667857372351780040298637628395391438387518574124797012388241836468116009035323987014791400922292303879192256419799209483303113571812074750553774032964649277273065731509333458531458522322054570735414243482008077308812149528791160685354041176752476378586233239763022867810983241551129860009642963602818388132125177381264961950649806731770350798249937961233969065677027726889801138895273561327368534352976007091382754744562327850546931418260493346381018995741456136568646209004634724848761768594800037745281922079993273280378302799319211707586771039105657329968845770816689886787432379981788390465692203488129108727177318273754605944018262966260593813003132610700092277522243636781802086694363204617133387197425315746675356543586749589744948256609366969011583298007903994596931218439653147500563216606188445886896494402096509318541443402379945158670632459217378568230048776356514403732997389109989068189600719811632001667391031745330203894144550984816204479723198719281908137565461131296112186692792501661605630888548707575757032107168820740740748494881526570452001860180620502539695229061357089234984025981676718135903427550572861432277558175698025036458176463860426117847648170181268691509549230961461468429282749234437694976577713704101064639432516635235232544647669162859270589297661702752519683272650215718934}
23160  37193666029378193805157961411167768355860836580340761771288935547684131941381: {393431,670799,994031,1203436,1409039,1685351,1823399,1895594,2036584,2053319,2237111,2291157,2328959,2374871,2466671,2725682,3016799,3199919,3278354,3402021,3428639,3611471,3839831,4050025,4256104,4523711,4569239,4657514,4788117,4860030,5114951,5184032,5478119,5785750,5832036,6033074,6307754,6474191,6842632,6942900,7015871,7405760,7697961,7961039,8050871,8331480,8499551,8723591,8886912,8946892,9046634,9229269,9305159,9372915,9497836,9528479,9573119,9840791,9974519,9997776,10063631,10464239,10508711,10987225,11130479,11247498,11499314,11529359,11698732,11727417,11771114,11794919,11839151,12236879,12369311,12374632,12797452,12856874,13184670,13250351,13382231,13479304,13762945,13909031,13921461,13952879,14063648,14828159,14991436,15164217,15220991,15319144,15526079,15821604,15830834,16135079,16308791,16515534,16538665,16829159,17218679,17234037,17714282,17727436,17892232,18125039,18363705,18626824,19027871,19055282,19113671,19542191,19587952,19590674,19591957,19627799,19661350,19670591,19756151,19846398,20128761,20392682,20829064,20926634,20955177,21193394,21460631,21545519,21726482,22036446,22122969,22434911,22814999,23194439,23236559,23395432,23432697,23587754,23593620,23615279,23993351,24119231,24203111,24454559,24581265,24747551,24872999,25081945,25166528,25226632,25582511,26220016,26319861,26498354,26704631,26828951,26994599,27116241,27366839,27787624,27815594,27985799,27988510,28191719,28312344,28356311,28379961,28438559,28808279,28849319,29129234,29468894,29497518,29668439,29913551,30098334,30439274,30647159,30789105,30931751,31134791,31261077,31418711,31661759,31838572,31851387,32227751,32469839,32711639,32841712,32849257,33264904,33355031,33475439,33586212,33675959,33916319,33992236,34088234,34156391,34436111,34515959,34529932,35087464,35233151,35451784,35630471,35826549,35828831,35831350,35868479,36160682,36343631,36946926,37290479,37423017,37526471,37644359,37997591,38115191,38274789,38727784,39051105,39252074,39365111,39473397,39508754,39883257,39891052,39948191,40534034,40645511,41031791,41301482,41340239,41493772,41654512,41726185,41801951,42098420,42262511,42377471,42530639,42645431,42724744,42997620,43065719,43332671,43568757,44159212,44207039,44774999,44926151,44950389,45001679,45039431,45236265,45565225,45717599,45864128,46355711,46384682,46505519,46842119,46861326,46927510,46958961,47476151,47624999,47736551,48065337,48150194,48182039,48252016,48300009,48383881,48921959,49290719,49290745,49621919,49870436,50025839,50071422,50135831,50518104,50575079,50695432,51049631,51411705,51597144,51779944,51909674,52030919,52267537,52537439,52740849,53196997,53586184,53617559,53761031,53901482,54124945,54283518,54678270,54748972,54832991,54839152,54939791,55275436,55579079,55756199,55884074,55903525,56109839,56180471,56313012,56427431,56832867,56849879,57025559,57032361,57060671,57118514,57341279,57586391,57611282,57656351,58046787,58252437,58278777,58323488,59148894,59221991,60140600,60284457,60462839,60524236,60668639,61113551,61514632,61682505,61694046,61999319,62338559,62404161,62786725,62808889,62812151,63169557,63250511,63312232,63317831,63351479,63553199,63653951,63659692,64561705,64949934,65056919,65417234,65521439,65613924,65653871,65683137,65783265,65794672,65852279,66314111,66415141,66511559,66744517,66902632,67039300,67084230,67169109,67298471,67345682,67658175,67718409,67722791,67826354,68178239,68210711,68793839,69025514,69119830,69203961,69450729,69727871,70144391,70168816,70415350,70417612,70459754,70527671,70687031,71226261,71243480,71354159,71544119,71556512,71638991,71650994,71828785,71860079,71954711,72168720,72301079,72426791,72520991,72615119,73084679,73240799,74019006,74358959,74667910,74871141,75265461,75282839,75344070,75466751,75558599,75807921,75833711,75995710,76097836,76480789,76685471,76927679,76957919,76979968,77318834,77321350,77474046,77741351,77831399,78011279,78154732,78578999,78668236,78705544,78939918,79025159,79646759,79963225,80148915,80235479,80264831,80354282,80367008,80447160,80501076,80528639,81189810,81192985,81350709,81880414,81924671,81978674,82011311,82155551,82351329,82943796,82980232,83131079,83216711,83700599,83826482,84047464,84295151,84407217,84498420,84914231,85492176,85668719,85810304,85827052,85891151,85918919,85974431,86168471,86182369,86194542,86222265,86288545,86472599,86602464,86803271,87050519,87214991,87266282,87570359,87893785,87978719,88033031,88108149,88370092,88405682,88543737,88547399,89085719,89385292,89514071,89594159,89601492,89887199,89966951,89994794,90046631,90131648,90247525,90391079,90412884,90503055,90944639,91147624,91194852,91311719,91412236,91516165,91970416,92093039,92118959,92274311,92351879,92555697,92630065,92712911,92785620,93021119,93123599,93251519,93352761,93531382,93600554,93786599,93797221,93862751,93939436,94378209,94393799,94553397,94620311,94770959,94946351,95071391,95349310,95415375,95891639,95955870,96064511,96178698,96280682,96286199,96401265,96459436,96536592,96849791,96874199,97142159,97166471,97427772,97431582,97600281,97834514,97869064,97892111,98108399,98228279,98470252,98824679,98943359,98971328,99156479,99321791,99392519,99439631,99473932,99601682,99651239,99721631,...,237731338617293512816071751849745244619722516435881833699303825041991346522463340502637793343579359680994847712936628101818017030812134143021542126063212389831944481438973451460183877435814795460482905264039435232502902327273274522062071238198899270252819679688478950249198545201489946578670409860013099311433044467708405799357154564052112502365372544568498689155302959202684139998283471778832548816574881731000226335893595545710997207823015010051159729584833597288262874263464030708904663755512565772154705075981681309168153473908957621990096377801144960747872253300903187247106641716233132992419947562001288760255858130972900579774788371192163299437736175033191755490162433449045074784705742247487124431832409738181682263574085849070053967289258443395456351906130230823484558759579499867134211238608383737842645613762177609865020822382975242601372351152981357754427698043663891213255914849488290384322065907647028129329574063616639289228168432191063834418998753117580864253194069667496542022207158136936541309578790500313160706758977337369322923780639264723598839305520552392088739122279323894148605107013828797244303623114631264113341440666637463745414361626370669068515709156805736295415886987214688044164631412134094404915845544236870525450486534064124026779243798381488093893107453887641620326499528218320677376828455040307341920812396163400275332079382794402816519283516298473106658071838102851750817505762665732588937916789215108886370665867413048508512856498210749383616721503741194594573904805320146407947214551931395642021427901579197180865516688676331941199864453431652719582552830427453528463124335797344490468768585865466797823932831166744502318804494115745762013148035612169964296400633711788108981893177040417868362418658874108063380471414855962648284928966904732019515709199547395345286253061399124321358258203584047998600631743110934173311272541802668527743581851512145149149459538516183654638028031388649519358434548938776101250918409160259805400325268516094035578969798004669401012729406627952614884585419415378602935282608089364368001460293025012605701963989437428300029906285150898285596135976088153472896147887902658766910842730986015728376866109261425952501253330507000548721025758281283063578110458320072662767206209139984070624256093758478537868735448570346801503472418399366357104297433562754124899289991079911135800844015191708645020687788710423501786058527670060447956442593087157581277861187195518582362754702174013552985980522187101383438455818788384629698814224954670357718112125830661049446973915909598597264000187797187783483081856103121365223012115963218224293186741028031061765128714567879349859644534301716474862326694790014464445404227582198187766071897442925974710097655526197374906941850953598515541590334701708342910341991052801529464010637074132116843491775820397127390740019571528493612184204852969313506952087273142652892200056617922883119989909920567454198978817561380156558658485994953268656225034830181148569972682585698538305232193663090765977410631908916027394449390890719504698916050138416283365455172703130041544806925700080796137973620013034815380124384617422384914050453517374947011855991895396827659479721250844824909282668830344741603144763977812165103569917738005948688826067852345073164534771605599496083664983602284401079717448002501086547617995305841216826477224306719584798078922862206348191696944168280039188752492408446332823061363635548160753231111111122742322289855678002790270930753809542843592035633852476038972515077203855141325859292148416337263547037554687264695790639176771472255271903037264323846442192202643924123851656542464866570556151596959148774952852848816971503744288905883946492554128779524908975323578401}
23161  37326752530923324631740449395221203552248907337272754524858071039757079965655: {46318,1504295,1782011,1805154,2545730,2843391,3054876,3724091,4088523,4536028,4834379,4917531,5111951,5320130,5987303,6384156,6480040,6986271,7290045,7776048,8553290,8650994,8678625,8748054,9049611,9257200,9316151,9461631,10263948,10414350,10827803,11108640,11183615,11794391,11849216,11872295,12305692,12497220,13330368,13404251,13420338,13569951,14246754,14623415,14996664,15468290,15636556,15655703,15765794,15996815,16298471,16849130,16871247,17139458,17248971,17430218,17548098,17579560,17656671,18225431,18307991,18561948,18739295,18871883,19148930,19196178,19285311,19777005,20048699,20103551,20204258,20218956,20471003,21095472,22020712,22073303,22159295,22198139,22365290,22487154,22942514,22978716,23283530,23732406,23746251,24314171,24484940,24597551,24773301,26036330,26461864,26571423,26591154,26679263,26750879,26838348,27626159,27940236,28226978,28582923,28631111,28736498,29106791,29244290,29381928,29386011,29492025,29497292,29769597,30589023,30701531,30774971,30982754,31020311,31122779,31243596,31389951,31458160,31533290,31606103,31790091,32050031,32589723,32646263,32775020,33054669,33770738,33886811,34021394,34617563,34734530,35093148,35183819,35381631,35390430,35415458,35552411,35988242,36154988,36364043,36447698,36721871,37384151,37749792,37839948,38007671,38982623,39197951,39314498,39330024,39708911,39747531,39798215,40131112,40344791,40812599,40982591,41052140,41532002,41581130,41681436,41723391,41898203,41982765,42196859,42220514,42468516,42490295,43162415,43693851,43859330,44203341,44215679,44246277,44314730,44358503,44781616,45087323,45147501,45149522,45242231,45307451,45658911,46497218,46626491,46887911,47757858,47768732,47869994,47901851,47984258,48409730,48815903,49262568,49443263,49693703,49769954,49863815,49897356,50379318,50752859,50988354,51033052,51132351,51404471,51747602,51794898,51867215,52053191,52068140,52177991,52623025,52631196,52814423,53177676,53353898,53405930,53747025,53825303,54238514,54241023,55199015,55247522,55398203,55420389,55693394,57158303,57274379,57330160,57570338,57578978,57670559,57733703,57737999,58091676,58500683,58539803,58687154,58878111,59023031,59263131,59836578,59933852,60315020,60478511,60560231,60750923,60801051,61397714,61947218,61952223,62240658,62338045,62481768,62611948,62916191,63147630,63326591,63369290,63570119,64087116,64094498,64320674,64400012,64496430,64724930,65072498,65093183,66092951,66238818,66334994,66761896,66982730,67215131,67258034,67357472,67639871,68436215,68548940,68787623,68796192,68867351,69094295,69355154,69577023,69758378,70027754,70291989,70321132,70391265,70657151,70758911,71767631,72103799,72225291,72378024,72607703,72721778,72904360,73525211,73541531,74629799,74805654,75084016,75107133,75175750,75655295,75777156,76043148,76893290,77395716,77445554,77669916,77705036,77787959,77864511,78097163,78263483,78865192,78948962,78962879,79053671,79122794,79140290,79574615,79754171,80379276,80474114,80595671,80628551,80682578,80852223,81425277,81818591,82017405,82123458,82243340,82258728,82358471,82643903,82913154,82924559,83205548,83628290,83789138,83799125,83826111,84226076,84469518,85635431,85677771,85728119,86416923,86599912,86747483,86893511,87485232,87577516,87711020,87733031,88016354,88022015,88131983,88423682,88477418,88723341,88915634,89054350,89445640,89558812,89622818,89974514,90210900,90291212,90562811,90786354,91124303,91974971,92271948,92541069,92600972,92684783,92727803,93454031,93767618,94956962,94968348,95122295,95489538,96020591,96208991,96224960,96422423,96723431,97200791,97424901,97623338,97651271,97693415,98125851,98181551,98335295,98381930,98420886,98692008,98877938,99185903,99738599,99828188,99934991,99962831,...,316975118156391350421429002466326992826296688581175778265738433389321795363284454003517057791439146241326463617248837469090689374416178857362056168084283186442592641918631268613578503247753060613977207018719246976670536436364366029416094984265199027003759572917971933665598060268653262104893879813350799081910725956944541065809539418736150003153830059424664918873737278936912186664377962371776731755433175641333635114524794060947996277097353346734879639446444796384350499017952040945206218340683421029539606767975575078890871298545276829320128503734859947663829671067870916329475522288310843989893263416001718347007810841297200773033051161589551065916981566710922340653549911265393433046274322996649499242443212984242243018098781132093405289719011257860608469208173641097979411679439333156178948318144511650456860818349570146486694429843966990135163134870641810339236930724885188284341219799317720512429421210196037505772765418155519052304224576254751779225331670823441152337592092889995389362942877515915388412771720667084214275678636449825763898374185686298131785740694069856118318829705765192198140142685105062992404830819508352151121920888849951660552482168494225424687612209074315060554515982952917392219508549512125873221127392315827367267315378752165369038991731175317458524143271850188827101999370957760903169104606720409789227749861551200367109439177059203755359044688397964142210762450803802334423341016887643451917222385620145181827554489884064678017141997614332511488962004988259459431873073760195210596286069241860856028570535438929574487355584901775921599819271242203626110070440569938037950832447729792653958358114487289063765243774888992669758405992154327682684197380816226619061867511615717478642524236053890491149891545165477417840628553141283531046571955872976026020945599396527127048337415198832428477677604778730664800842324147912231081696722403558036991442468682860198865946051354911539517370708518199359144579398585034801667891212213679740533767024688125380771959730672892534683639208837270153179447225887171470580376810785819157335280390700016807602618652583237733373208380201197714128181301450871297194863850536878355881123641314687637835821479015234603335004440676000731628034344375044084770813944426763550356274945519978760832341458344638050491647264760462402004629891199155142805729911417005499865719988106548181067792020255611526694250384947231335714744703560080597275256790782876775037148249594024776483672936232018070647974029582801844584607758384512839598418966606227143624149501107548065929298554546131463018666917062917044644109141470828486964016154617624299057582321370708082353504952757172466479526045735621966483102259720019285927205636776264250354762529923901299613463540701596499875922467938131354055453779602277790547122654737068705952014182765509489124655701093862836520986692762037991482912273137292418009269449697523537189600075490563844159986546560756605598638423415173542078211314659937691541633379773574864759963576780931384406976258217454354636547509211888036525932521187626006265221400184555044487273563604173388726409234266774394850631493350713087173499179489896513218733938023166596015807989193862436879306295001126433212376891773792988804193018637082886804759890317341264918434757136460097552713028807465994778219978136379201439623264003334782063490660407788289101969632408959446397438563816275130922262592224373385585003323211261777097415151514064214337641481481496989763053140904003720361241005079390458122714178469968051963353436271806855101145722864555116351396050072916352927720852235695296340362537383019098461922922936858565498468875389953155427408202129278865033270470465089295338325718541178595323405505039366545300431437868}
23162  37460312114353883364895200060335928826890531034856205915861554136947674875193: {69477,439717,717061,786862,1341598,1988062,2375077,2406872,2512777,2707731,2818078,3370702,3474661,3646798,3791188,3818595,4073168,4106638,4474222,4569637,4582314,4657918,4749742,4933342,5451364,5523961,5670035,6033598,6399838,6556708,6804042,6857278,7222942,7679662,7980195,8100050,8512208,8634757,9047422,9138478,9315028,9573961,9576234,9720060,10229902,10368064,10509637,10956238,11571500,11664072,11840197,12066148,12237961,12615508,12829935,12948382,12976491,13122081,13685264,13822537,13885800,13954117,14031742,14217061,14811520,14873161,15382115,15395922,15621525,15919177,15922078,16101742,16662960,16999102,17447182,17773824,17893784,18093268,18458538,18610318,18745830,18995672,19056958,19146238,19158277,19268123,19545695,19672357,19681582,19949038,19995552,20127262,20130507,20928478,21017422,21370131,21971461,21974450,22260958,22352377,22494996,22859257,22985797,22998628,23058718,23154131,23202435,23238661,23397464,23454834,23542228,23589838,23617417,23648691,23678302,24473758,24738622,24749264,24749797,25273695,25594904,25709187,25713748,25751461,26145327,26322147,26369340,26375161,26500702,26764462,26958608,27525890,27818062,27842922,27905758,28127296,28235461,28482277,28723395,28794267,28851961,29656318,29982872,30306387,30328434,30441982,30606175,30638288,30934597,31052158,31643208,31661668,32270158,32271097,32617582,33031068,33077330,33478537,33547935,33658318,33730731,34413771,34437358,34468074,34925295,35114723,35428564,35454872,35598609,35752837,35784464,35871817,36250078,36727410,36871615,37253648,38055742,38110564,38118757,38227342,39054495,39084382,39175904,39181348,39183914,39255598,39322700,39341182,39512302,39692796,39886731,39990757,40257522,40785364,40968775,41382661,41658128,41853268,41910354,42189817,42304837,42340467,42386788,42921262,43091038,43104747,43452964,43866435,44072892,44245938,44817061,44869822,45043717,45193735,45383161,45629998,45721957,46172677,46388878,46473118,46474131,46790864,46865394,47175508,47187240,47230558,47299935,47986702,48238462,48406222,48909118,49162530,49495102,49626697,49745998,50163890,50333056,50453264,50656107,51032091,51165022,51315175,52035961,52101795,52440032,52578661,52639722,52996708,53085645,53123187,53409262,53657902,53982363,53989198,54232482,54671547,54733678,54945157,55575248,55584517,55631188,55797061,55971598,55977020,56383438,56624688,56712622,56759922,56877118,57066277,57616558,57698638,58258468,58416659,58937788,58971747,58995036,59336878,59710915,59827102,60196668,60503161,60811717,60878548,61294318,61324537,61529161,61578210,61863502,62269582,62298003,62371695,62522154,62837422,63323518,63330771,63357817,63677144,63702774,63791315,64334611,64455502,64939678,65063461,65085175,65423278,65561161,65683424,65698514,65788995,65858917,66254917,66472095,66529808,66551161,66710062,66950878,67172424,67351918,67724283,67832638,67984472,68176468,68217637,68312782,68872222,69007043,69031918,69059864,69745827,69767077,70174928,70466302,70903568,70917061,71260942,71583097,71636787,71653098,71657662,71662700,71736958,71804991,71867461,71976387,72321364,72528457,72614595,72622597,72687262,73488943,73893852,74228687,74397577,74580958,74654931,74846034,74917315,74952697,75052942,75288718,75393775,75568977,75597061,75774923,75780517,75995182,76230382,76482531,76549578,76965961,77455568,77621403,77692347,78049417,78102210,78264935,78318661,78504148,78730222,78944377,78946794,79017508,79766514,79782104,79896382,80030847,80108895,80273317,80500015,81068068,81291022,81357771,82063582,82602964,82680478,82871283,82987544,83309024,83452370,83540091,83603902,83737957,84196840,84525022,84754942,85061278,85290862,85449488,85677961,85686175,85928197,85995240,86131438,86355507,86368467,86665342,87087397,87137514,87169657,87901415,87906757,88030731,88318424,88414078,88961161,89549998,89603977,89754867,89852302,89900778,89923657,90003358,90078862,90162661,90386387,90472530,90717817,91130450,91435198,91728256,92096571,92129161,92284537,92362117,92711422,92769364,92920827,93011038,93360987,93684238,93722652,93822457,93855020,93917922,94429561,94721445,94952302,94956997,95053935,95249998,95473102,96075337,96130674,96141747,96300388,96364078,96481011,96504032,96518137,96600018,96744645,96767762,96885157,97087395,97131295,97177477,97608747,97843918,97903237,98119561,98581438,98581490,98621797,98978377,99243838,99358227,99502491,99740872,...,475462677234587025632143503699490489239445032871763667398607650083982693044926681005275586687158719361989695425873256203636034061624268286043084252126424779663888962877946902920367754871629590920965810528078870465005804654546549044124142476397798540505639359376957900498397090402979893157340819720026198622866088935416811598714309128104225004730745089136997378310605918405368279996566943557665097633149763462000452671787191091421994415646030020102319459169667194576525748526928061417809327511025131544309410151963362618336306947817915243980192755602289921495744506601806374494213283432466265984839895124002577520511716261945801159549576742384326598875472350066383510980324866898090149569411484494974248863664819476363364527148171698140107934578516886790912703812260461646969117519158999734268422477216767475685291227524355219730041644765950485202744702305962715508855396087327782426511829698976580768644131815294056258659148127233278578456336864382127668837997506235161728506388139334993084044414316273873082619157581000626321413517954674738645847561278529447197678611041104784177478244558647788297210214027657594488607246229262528226682881333274927490828723252741338137031418313611472590831773974429376088329262824268188809831691088473741050900973068128248053558487596762976187786214907775283240652999056436641354753656910080614683841624792326800550664158765588805633038567032596946213316143676205703501635011525331465177875833578430217772741331734826097017025712996421498767233443007482389189147809610640292815894429103862791284042855803158394361731033377352663882399728906863305439165105660854907056926248671594688980937537171730933595647865662333489004637608988231491524026296071224339928592801267423576217963786354080835736724837317748216126760942829711925296569857933809464039031418399094790690572506122798248642716516407168095997201263486221868346622545083605337055487163703024290298298919077032367309276056062777299038716869097877552202501836818320519610800650537032188071157939596009338802025458813255905229769170838830757205870565216178728736002920586050025211403927978874856600059812570301796571192271952176306945792295775805317533821685461972031456753732218522851905002506661014001097442051516562566127156220916640145325534412418279968141248512187516957075737470897140693603006944836798732714208594867125508249798579982159822271601688030383417290041375577420847003572117055340120895912885186174315162555722374391037164725509404348027105971961044374202766876911637576769259397628449909340715436224251661322098893947831819197194528000375594375566966163712206242730446024231926436448586373482056062123530257429135758699719289068603432949724653389580028928890808455164396375532143794885851949420195311052394749813883701907197031083180669403416685820683982105603058928021274148264233686983551640794254781480039143056987224368409705938627013904174546285305784400113235845766239979819841134908397957635122760313117316971989906537312450069660362297139945365171397076610464387326181531954821263817832054788898781781439009397832100276832566730910345406260083089613851400161592275947240026069630760248769234844769828100907034749894023711983790793655318959442501689649818565337660689483206289527955624330207139835476011897377652135704690146329069543211198992167329967204568802159434896005002173095235990611682433652954448613439169596157845724412696383393888336560078377504984816892665646122727271096321506462222222245484644579711356005580541861507619085687184071267704952077945030154407710282651718584296832674527094075109374529391581278353542944510543806074528647692884384405287848247703313084929733141112303193918297549905705697633943007488577811767892985108257559049817950647156802}
23163  37594346450273064431924132370926567926363299413756541338867296234036967719392: {92636,1180293,2012397,2106013,2982093,3008590,3564022,3610308,4227117,4738985,5056053,5091460,5470197,5686782,5713357,6109752,6159957,6711333,6814205,6873471,6986877,7124613,7400013,7448182,8177046,8195885,9050397,9072056,9599757,9668758,9835062,10206063,10223902,10285917,10640260,10834413,11396681,11519493,11643785,11974606,12150075,12228893,12768312,12960080,13466717,13571133,13707717,13972542,14364351,14464375,14580090,15082685,15344853,15552096,15657061,15769385,16434357,16621213,17106580,17301988,17357250,17496108,18026261,18099222,18456101,18514400,18632302,18923262,19422573,20472781,20527896,20828700,21047613,21655606,21782357,22217280,22367230,22395541,22578677,22616585,23093883,23156261,23588782,23693917,23698432,23744590,23883117,24152613,24611384,24994440,25498653,26170773,26235013,26660736,26808502,26840676,27139902,27687807,27915477,28118745,28143053,28493508,28585437,28637477,28719357,28748285,29069833,29246830,29427785,29522373,29923557,29993328,30190893,30936580,31023013,31273112,31311406,31320917,31392717,31467581,31526133,31531588,31993630,31999477,32142185,32541893,32596942,32649097,32961675,33173261,33391437,33698260,33742494,34278916,34497942,34588077,34860436,34885241,35096196,35159120,35182251,35313342,35384757,35475497,35517453,36450862,36615982,36710637,37107933,37123896,37478590,37701917,37743766,38297860,38392356,38570622,38799161,39554010,39577085,39751053,40097398,40146693,40207102,40408516,40437912,40942006,41288835,41580877,41727093,41764383,41858637,41907941,42190944,43627261,44015813,44041424,44146606,44285705,44318590,44396278,44484477,44730580,44974308,45091237,45233837,45492651,45662973,45885028,45957432,46567060,46578237,46928713,47464812,47486717,47492502,47638205,48241061,48405237,48628342,48926373,48969880,48976685,49153375,49195102,49546602,49615995,50487477,50981705,51656037,51702111,52072660,52182517,52316585,52923728,52983485,53142846,53182308,53358526,53501758,53519597,53676696,54316205,54375117,55091115,55252318,55540021,55717501,55789397,55880472,56453956,56456797,57083613,57163261,57165846,57262222,57341013,57449933,57472996,58213582,58488580,58626573,58763856,58772022,58775871,58883397,58969385,58984050,58994584,59011773,59268453,59486413,59539194,59847173,60386283,60427381,60483757,61178046,61403062,61549942,61965508,62040622,62245558,62266153,62487192,62779902,62865531,62916320,63066580,63212206,63229661,63580182,63937061,64100062,64381893,64636557,64767113,65179446,65292526,65550040,65966917,66109338,66245885,66368907,66415693,67304733,67541476,67563593,67773622,68042788,68235817,68444997,69235126,69469060,69538985,69583317,69709677,69809341,69971275,70186296,70298091,70367638,70694261,70763262,70780860,70830916,70845837,71104822,71452781,71976484,71980053,72309976,72357693,72482453,72609333,72614101,72728086,72823085,72895396,73363677,73443742,73531597,73672235,73674557,73743795,74242653,74618997,74768302,75245835,75439817,75499584,75679896,76015342,76098185,76747533,77278621,77965246,78270277,78395902,78401717,78628996,78660048,78959583,78969757,79417822,79495062,79596430,80113893,80262224,80486853,80689582,80983797,81348723,81625198,81965182,82100517,82104280,82651081,83064004,83162260,83362872,83446782,83796406,83957397,83965530,84393718,84441028,84575157,84937032,84980590,85068933,85139883,85220585,85315677,85735561,86324830,86424837,86547957,86695757,87273263,87387702,87388397,87718660,88239293,88406682,88431358,88492554,88629460,88717006,89005317,89563232,89578375,89740653,90174646,90295002,90299044,90401705,90484462,90614902,91317822,91941477,92367315,92795253,92827561,92994436,93071141,93252982,93404373,93775822,93783231,94256133,94530437,94985277,95329961,95515716,95537464,95554161,95739988,95803702,95810701,95925797,95968516,96321941,96683253,96732013,96819460,97116277,97409517,97631806,98130185,98134917,98525136,98547771,98771885,98886526,99076837,99387406,99539908,99727630,99794712,...,713194015851880538448215255549235733859167549307645501097911475125974039567390021507913380030738079042984543138809884305454051092436402429064626378189637169495833444316920354380551632307444386381448715792118305697508706981819823566186213714596697810758459039065436850747595635604469839736011229580039297934299133403125217398071463692156337507096117633705496067465908877608052419994850415336497646449724645193000679007680786637132991623469045030153479188754500791864788622790392092126713991266537697316464115227945043927504460421726872865970289133403434882243616759902709561741319925148699398977259842686003866280767574392918701739324365113576489898313208525099575266470487300347135224354117226742461373295497229214545046790722257547210161901867775330186369055718390692470453676278738499601402633715825151213527936841286532829595062467148925727804117053458944073263283094130991673639767744548464871152966197722941084387988722190849917867684505296573191503256996259352742592759582209002489626066621474410809623928736371500939482120276932012107968771341917794170796517916561657176266217366837971682445815321041486391732910869343893792340024321999912391236243084879112007205547127470417208886247660961644064132493894236402283214747536632710611576351459602192372080337731395144464281679322361662924860979498584654962032130485365120922025762437188490200825996238148383208449557850548895419319974215514308555252452517287997197766813750367645326659111997602239145525538569494632248150850164511223583783721714415960439223841643655794186926064283704737591542596550066028995823599593360294958158747658491282360585389373007392033471406305757596400393471798493500233506956413482347237286039444106836509892889201901135364326945679531121253605087255976622324190141414244567887944854786900714196058547127598642186035858759184197372964074774610752143995801895229332802519933817625408005583230745554536435447448378615548550963914084094165948558075303646816328303752755227480779416200975805548282106736909394014008203038188219883857844653756258246135808805847824268093104004380879075037817105891968312284900089718855452694856788407928264460418688443663707976300732528192958047185130598327784277857503759991521001646163077274843849190734331374960217988301618627419952211872768281275435613606206345711040404510417255198099071312892300688262374697869973239733407402532045575125935062063366131270505358175583010181343869327779261472743833583561586555747088264106522040658957941566561304150315367456365153889096442674864011073154336377491983148340921747728795791792000563391563350449245568309364095669036347889654672879560223084093185295386143703638049578933602905149424586980084370043393336212682746594563298215692328777924130292966578592124720825552860795546624771004105125028731025973158404588392031911222396350530475327461191382172220058714585480836552614558907940520856261819427958676600169853768649359969729761702362596936452684140469675975457984859805968675104490543445709918047757095614915696580989272297932231895726748082183348172672158514096748150415248850096365518109390124634420777100242388413920860039104446140373153852267154742151360552124841035567975686190482978439163752534474727848006491034224809434291933436495310709753214017846066478203557035219493604314816798488250994950806853203239152344007503259642853985917523650479431672920158754394236768586619044575090832504840117566257477225338998469184090906644482259693333333368226966869567034008370812792261428628530776106901557428116917545231611565423977577876445249011790641112664061794087371917530314416765815709111792971539326576607931772371554969627394599711668454790877446324858558546450914511232866717651839477662386338574726925970735203}
23164  37728857215144667474166605462091895574822953906873090499545089276316187300069: {115795,138954,879434,1086499,1434122,1573724,1915723,2329363,2467099,2683196,3154699,3976124,4387843,4512885,4750154,4813744,5025554,5206699,5346033,5415462,5636156,5887099,6022963,6364325,6701203,6741404,6949322,7107283,7293596,7582376,7637190,7917499,7938049,8052283,8146336,8213276,8530173,8948444,9139274,9164628,9315836,9499484,9866684,10065403,10599499,10902728,11047922,11172273,11340070,11797003,12067196,12265569,12799676,13113416,13300325,13384603,13608084,13714556,14445884,14503137,14699683,14752593,15335853,15354523,15359324,15960390,16200100,17024416,17269514,17308243,17826499,17961909,18094844,18276956,18343603,18630056,19117099,19147922,19152468,19440120,19631323,19759699,20459804,20736128,20958813,21019274,21383225,21534961,21549403,21627485,21870135,21912476,22819123,23143000,23328144,23680394,24081643,24132296,24207499,24475922,25231016,25336963,25659870,25896764,25952982,26035875,26086699,26244162,27148833,27363973,27370528,27645074,27771600,27908234,27948453,28063484,28073323,28384893,28434122,28443763,29623040,29673883,29746322,30764230,30787361,30791844,31018699,31243050,31505563,31838354,31844156,32112523,32203484,32483409,33325920,33550845,33561883,33998204,34522363,34642099,34894364,35383173,35547648,35616885,35787568,36186536,36429499,36917076,37220636,37491660,37991344,38113916,38200699,38292476,38316554,38536246,38670725,38904643,39091390,39344714,39363164,39372499,39414485,39898076,39991104,40212753,40254524,40261014,40709853,41809843,41856956,42034844,42122825,42740262,42848645,43531363,43575545,43870245,43942922,43948900,44521916,44704754,44989992,45010243,45236683,45718514,45971594,45997256,46117436,46308262,46404870,46477322,46794928,46909668,46925803,46967109,47084456,47179676,47234834,47297382,47356604,47373499,47872325,47990445,48895413,48947516,49042099,49477244,49498528,49499594,49705003,50035483,50145499,50510645,50547390,50613741,50694499,51189808,51418374,51427496,51502922,51620261,51746913,52290654,52644294,52738680,52750322,52970013,53001404,53528924,53843203,53917216,54487099,54676293,54923973,55021699,55051780,55636124,55685844,55811516,55913225,56191483,56217885,56254592,56470922,56615649,56964554,57356285,57446790,57588534,57667699,57703922,57855933,58208825,58817683,59312636,59331015,59855563,59965744,60146097,60310653,60612774,60656868,60883964,61194043,61212350,61276576,61413009,61869194,62104316,63271229,63286416,63323336,63330499,63733843,63935083,64540316,64542194,64737163,65090825,65235164,65931643,66062136,66154660,66219909,66477885,66594417,66722203,66957074,67095870,67316636,67410163,67461462,68289499,68827542,68874716,68936148,69850590,70126723,70229446,70318603,70567445,70797043,70857128,70909744,71197218,71238753,71505674,71568928,71743634,71841245,72032563,72500156,72942513,72974683,73110725,73454820,73743230,73792653,74319903,74507296,74559763,76031813,76111484,76221128,76237514,76454684,76671163,76762099,77456885,78027643,78108990,78168764,78351808,78362696,78367828,78511196,78565699,78645400,78655123,78682364,78833225,79024604,79385592,79714269,79773462,79899499,79981514,80037789,80252637,80428483,80515044,81570728,81937550,82134701,82432243,82765322,82862803,82878477,83291563,83316256,83462563,83595281,83706536,83820708,83888803,84379634,84426845,84609674,84651499,84680934,84773576,85053485,85748769,85842524,85893333,85993003,86182076,86209494,86822083,86836325,86850569,86905928,87069403,87320373,87480163,87732870,88052203,88145784,88158033,88476075,88491876,88538645,89185699,89307841,89308791,89634122,89739644,89906923,89970605,90087434,90387470,90463843,90766322,91096003,91119245,91259996,91443914,91767069,91957699,92104593,92324913,92345354,92777756,92946236,92948262,93060933,93368337,93581728,93730788,94169853,94187683,94339243,94351016,94374480,94461116,94599870,94818309,95370273,95690323,95973404,96135499,96150093,96476924,96812444,96944923,97237099,97769169,97818236,97938789,98250643,98286245,98325060,98990204,99164007,99253394,99462403,99491996,...,950925354469174051264287007398980978478890065743527334797215300167965386089853362010551173374317438723979390851746512407272068123248536572086168504252849559327777925755893805840735509743259181841931621056157740930011609309093098088248284952795597081011278718753915800996794180805959786314681639440052397245732177870833623197428618256208450009461490178273994756621211836810736559993133887115330195266299526924000905343574382182843988831292060040204638918339334389153051497053856122835618655022050263088618820303926725236672613895635830487960385511204579842991489013203612748988426566864932531969679790248005155041023432523891602319099153484768653197750944700132767021960649733796180299138822968989948497727329638952726729054296343396280215869157033773581825407624520923293938235038317999468536844954433534951370582455048710439460083289531900970405489404611925431017710792174655564853023659397953161537288263630588112517318296254466557156912673728764255337675995012470323457012776278669986168088828632547746165238315162001252642827035909349477291695122557058894395357222082209568354956489117295576594420428055315188977214492458525056453365762666549854981657446505482676274062836627222945181663547948858752176658525648536377619663382176947482101801946136256496107116975193525952375572429815550566481305998112873282709507313820161229367683249584653601101328317531177611266077134065193892426632287352411407003270023050662930355751667156860435545482663469652194034051425992842997534466886014964778378295619221280585631788858207725582568085711606316788723462066754705327764799457813726610878330211321709814113852497343189377961875074343461867191295731324666978009275217976462983048052592142448679857185602534847152435927572708161671473449674635496432253521885659423850593139715867618928078062836798189581381145012245596497285433032814336191994402526972443736693245090167210674110974327406048580596597838154064734618552112125554598077433738195755104405003673636641039221601301074064376142315879192018677604050917626511810459538341677661514411741130432357457472005841172100050422807855957749713200119625140603593142384543904352613891584591551610635067643370923944062913507464437045703810005013322028002194884103033125132254312441833280290651068824836559936282497024375033914151474941794281387206013889673597465428417189734251016499597159964319644543203376060766834580082751154841694007144234110680241791825770372348630325111444748782074329451018808696054211943922088748405533753823275153538518795256899818681430872448503322644197787895663638394389056000751188751133932327424412485460892048463852872897172746964112124247060514858271517399438578137206865899449306779160057857781616910328792751064287589771703898840390622104789499627767403814394062166361338806833371641367964211206117856042548296528467373967103281588509562960078286113974448736819411877254027808349092570611568800226471691532479959639682269816795915270245520626234633943979813074624900139320724594279890730342794153220928774652363063909642527635664109577797563562878018795664200553665133461820690812520166179227702800323184551894480052139261520497538469689539656201814069499788047423967581587310637918885003379299637130675321378966412579055911248660414279670952023794755304271409380292658139086422397984334659934409137604318869792010004346190471981223364867305908897226878339192315691448825392766787776673120156755009969633785331292245454542192643012924444444490969289159422712011161083723015238171374368142535409904155890060308815420565303437168593665349054188150218749058783162556707085889021087612149057295385768768810575696495406626169859466282224606387836595099811411395267886014977155623535785970216515118099635901294313604}
23165  37863846091313521374849617743947803921039303068298464774135517302561928927187: {185272,208431,1319151,1967155,2151183,2360586,2800303,3353995,4024794,4212026,4970155,5852143,5964186,6017180,6634579,6684859,7045195,7125231,7128044,7220616,7538331,8123193,8426755,8454234,9116995,9408619,9477970,9539887,10112106,10182920,10266595,10423983,10940394,11185555,11373564,11426714,11455785,11474239,11644795,11874355,12182659,12219504,12319914,12333355,12737467,13422666,13628410,13708911,13746942,13973754,14249226,14800026,14896364,15083995,15915211,15999595,16301299,16354092,16391770,16571883,17010105,17015119,17143195,18057355,18100794,18144112,18534043,19199155,19199514,19337516,19670124,20250125,20412126,20447804,20571834,20627407,21063823,21115759,21280520,21303763,21668826,22077139,22618555,22793362,22844911,22846195,23038986,23287570,23940585,23941219,23949212,24300150,24457786,24601819,24785227,25536624,25574755,25611883,25880527,25904271,25920160,26289259,26683891,26933434,27142266,27390595,27415434,27945084,28639963,28721883,28728702,28928750,29160180,30165370,30689706,31104192,31314122,31528911,31538770,31663219,32168719,32370955,32382643,32868714,33242426,33637759,33844291,34213160,34603976,34686619,34714500,34888267,34992216,35022979,35079355,35520591,36052522,36198444,36370351,36713883,36912202,37028800,37264604,37674943,37846524,37922083,38207983,38489805,38845146,38929473,38989387,39204763,39366243,39805195,40137859,40247599,40254355,40691803,40945562,41055792,41198899,41467611,41657400,41862351,41905471,41911579,42095226,42497755,42651183,42691267,43311212,43564714,43617955,44019631,44434560,44556811,44619483,44734460,44791082,44999059,45157354,45233170,45739243,46146345,46187766,46312522,46525795,46838287,46864575,47177564,47189491,47387834,47396864,47489180,47642395,47757531,47766234,47865595,48245263,48305226,48746203,48824371,49203955,49222768,49702339,49872595,49988880,50133283,50318155,50761663,50963839,50997306,51258859,52321195,52341546,52470026,52543555,52823587,53250703,53321472,53458171,53524243,53592619,53617004,53681352,54279804,54579391,54936125,55375614,55407919,55488571,55652395,55830954,56237490,56286106,56987016,57012163,57170874,57274954,57438714,57474831,57496570,57646795,57680563,57804369,58139666,58493660,58510831,58637085,58746523,58855570,58974595,59017071,59044746,59195755,59847114,59852371,59986656,60381786,60391521,60570739,61184395,61846555,61873160,61999987,62046026,62546224,62622812,62641834,62785434,62935162,63052266,63063176,63337579,63942607,63987260,63998954,64110393,64284370,64772731,64808707,65083786,65193884,65298194,65914383,65923350,66104419,66251755,66346522,66693487,66782874,66911155,67057131,67107283,67396520,67484988,68557832,68567359,68577771,68814725,68957391,68995884,69176154,69332143,69462393,69545155,69607305,69706219,69715983,69720872,69764395,69770482,70192392,70318240,70364502,70626684,70769514,70852251,70946073,70950994,71034906,71197423,71374387,71458987,72086731,72788347,72901724,73231964,73243219,73421274,73540591,73681003,74140795,74176879,74215866,74247792,74249391,74725963,74957180,75403834,75487532,75512251,75821085,75867427,76042687,76104955,76380559,76595720,76784712,77127561,77141244,77254383,77598322,77630395,78408523,78435981,78797011,78966441,79108020,79125483,79154170,79502106,80194796,80293386,80414204,80642563,80675395,80817032,80875824,81543955,81884012,82226191,82275019,82557139,82577670,82693325,83161754,83454186,83528766,83547763,83717274,83815882,84145795,84381888,84582619,84706383,85446831,85543807,86051899,86093395,86170185,86382801,86555883,86703283,87054319,87069931,87254522,88031626,88082848,88293212,88452139,88571410,88637180,88792556,88968954,89137891,89461160,89948616,90182474,90467674,90625195,90919161,90985302,91073167,91140139,91325946,91578379,91770056,91818525,91914864,91991119,92744239,92803791,93134120,93156474,93415183,93849979,93857426,94538671,94929624,94973434,94985004,95139355,95276410,95568355,95586643,96330307,96482122,96810474,96813291,97217683,97256684,97354579,97710955,97852746,97939760,97953370,97959785,98138995,98306750,98352955,98390204,98780755,99093204,99231990,99980203,...,1426388031703761076896430511098471467718335098615291002195822950251948079134780043015826760061476158085969086277619768610908102184872804858129252756379274338991666888633840708761103264614888772762897431584236611395017413963639647132372427429193395621516918078130873701495191271208939679472022459160078595868598266806250434796142927384312675014192235267410992134931817755216104839989700830672995292899449290386001358015361573274265983246938090060306958377509001583729577245580784184253427982533075394632928230455890087855008920843453745731940578266806869764487233519805419123482639850297398797954519685372007732561535148785837403478648730227152979796626417050199150532940974600694270448708234453484922746590994458429090093581444515094420323803735550660372738111436781384940907352557476999202805267431650302427055873682573065659190124934297851455608234106917888146526566188261983347279535489096929742305932395445882168775977444381699835735369010593146383006513992518705485185519164418004979252133242948821619247857472743001878964240553864024215937542683835588341593035833123314352532434733675943364891630642082972783465821738687787584680048643999824782472486169758224014411094254940834417772495321923288128264987788472804566429495073265421223152702919204384744160675462790288928563358644723325849721958997169309924064260970730241844051524874376980401651992476296766416899115701097790838639948431028617110504905034575994395533627500735290653318223995204478291051077138989264496301700329022447167567443428831920878447683287311588373852128567409475183085193100132057991647199186720589916317495316982564721170778746014784066942812611515192800786943596987000467013912826964694474572078888213673019785778403802270728653891359062242507210174511953244648380282828489135775889709573801428392117094255197284372071717518368394745928149549221504287991603790458665605039867635250816011166461491109072870894896757231097101927828168188331897116150607293632656607505510454961558832401951611096564213473818788028016406076376439767715689307512516492271617611695648536186208008761758150075634211783936624569800179437710905389713576815856528920837376887327415952601465056385916094370261196655568555715007519983042003292326154549687698381468662749920435976603237254839904423745536562550871227212412691422080809020834510396198142625784601376524749395739946479466814805064091150251870124126732262541010716351166020362687738655558522945487667167123173111494176528213044081317915883133122608300630734912730307778192885349728022146308672754983966296681843495457591583584001126783126700898491136618728191338072695779309345759120446168186370590772287407276099157867205810298849173960168740086786672425365493189126596431384657555848260585933157184249441651105721591093249542008210250057462051946316809176784063822444792701060950654922382764344440117429170961673105229117815881041712523638855917353200339707537298719939459523404725193872905368280939351950915969719611937350208981086891419836095514191229831393161978544595864463791453496164366696345344317028193496300830497700192731036218780249268841554200484776827841720078208892280746307704534309484302721104249682071135951372380965956878327505068949455696012982068449618868583866872990621419506428035692132956407114070438987208629633596976501989901613706406478304688015006519285707971835047300958863345840317508788473537173238089150181665009680235132514954450677996938368181813288964519386666666736453933739134068016741625584522857257061552213803114856233835090463223130847955155752890498023581282225328123588174743835060628833531631418223585943078653153215863544743109939254789199423336909581754892649717117092901829022465733435303678955324772677149453851941470406}
23166  37999314767025978994813473583968293889871967663776518386016331073263902456825: {162113,231590,277908,532289,1547633,1758868,1823873,2172998,2375489,2467313,2513213,2604989,2868244,2925953,3147448,3154973,3200753,3429533,3540879,3749489,3831446,3977789,4433789,4658726,4934198,5116289,5252573,5366392,6037191,6309398,6318039,7017713,7152989,7521475,7952248,7963133,8187713,8636273,8725889,8775686,8860253,8910055,8946279,9025770,9039293,9500308,9627488,9977153,10051108,10199933,10378013,10413398,10600433,10692066,10830924,11044673,11272312,11774198,11842289,12045926,12372593,12681351,12728650,13385789,13402406,13482808,13517633,13898644,13912733,14214566,14216955,14587192,15164752,15168159,15274380,15355889,15834998,15876098,16104566,16139393,16292672,16410591,16426552,16443389,16963613,17060346,17140071,17223293,17828093,17896888,18278548,18329256,18388289,18479871,18620455,18631672,18998968,19161713,19247489,19675889,19733368,19761473,20130806,20133999,20188913,20442615,20444993,20620413,20828573,20960631,21198998,21373839,21678653,21805456,22095844,22200039,22344546,22356413,22440989,22567793,22680140,22863389,23594006,23999873,24125789,24134392,24171895,24335489,24531138,24587655,24879773,25380989,25559755,25589489,25599352,26226832,26600650,26769206,26836289,26960573,27126173,27151191,27216168,27429112,28487489,28569713,28799271,28891768,28980353,29006274,29399366,29505186,29799233,29936515,30278479,30452033,30618189,30655613,30671706,30709046,30718648,30857751,31021553,31062173,31265153,31548989,31920780,32155889,32357789,32400200,32503239,33484733,33564989,33845633,34048832,34085873,34190043,34445693,34539028,34558479,34616486,34645313,34685213,34931355,35242973,35652998,35759489,35838833,35923818,36189688,36385063,36450225,36472433,36553912,36686679,36687206,37143389,37260112,37418993,37654913,38125889,38204273,38234198,38243453,38295844,38304936,38880240,39262646,39376193,39519398,40192253,40400151,40713399,40919608,41123151,41472256,41813789,41917626,41929073,42038548,42082673,42274493,42389489,42657533,42766450,42848753,43069922,43093053,43098806,43254970,43393125,43740270,43824952,44219633,45052289,45240989,45248055,45638246,46034559,46181489,46256513,46286000,46580755,46656288,46818173,46971183,47308155,47360788,47378033,47415293,47750273,47861789,48158813,48163286,48264592,48414998,48951844,49046813,49303071,49415453,49709789,49863639,50150333,50260289,50462032,50673926,50699393,50918513,51173789,51319740,51719489,51793528,51905964,52071750,52173398,52371953,52488324,53776733,54063389,54078783,54139015,54297666,54492413,54528113,54727946,54741056,54955889,55027073,55062653,55180279,55290148,55368303,55543200,55816468,55896906,55918075,56126968,56146646,56444033,56620253,56769786,56868244,56887526,56972093,57358193,57603389,57778289,58267719,58406273,58719293,58971955,59066333,59246080,59347766,59361475,59492644,59988103,60823793,60892289,61005763,61131773,61336733,61418343,61528460,61574722,61583688,62037398,62486100,62526593,62830973,63011126,63142839,63370493,63673073,63676708,63688312,63941489,64175933,64225046,64376573,64406968,64776989,64966818,65347071,65541233,65772989,65938289,66334193,66651840,66761789,67021255,67024253,67101690,67123766,67186623,67318913,67416989,67736031,67849755,67996408,68003933,68134013,68296433,68328893,69044726,69281649,69284198,69468783,69749213,69788728,70165889,70549313,70644989,70714903,70766346,70804289,71081751,71095296,71233770,71376113,71575136,71649351,71661053,71976893,72166013,72323393,72373072,72457839,72543389,72637553,72858998,73117075,73263473,73481789,73834152,74103389,74320193,74441272,74783453,74983320,75244913,75398333,75582173,75857393,75982688,76227832,76401398,76495959,76584952,76633108,76709489,77072492,77072753,77341450,77809286,77855873,78065789,78182780,78278515,78512319,78603773,78689428,78705039,78726328,78744998,78828970,78960989,79020413,79796152,79937393,79982208,79984075,80298799,80425506,80436989,80509048,80522028,81080093,81419706,81492355,81516353,82037489,82181789,82699613,82900289,83063421,83243393,83619686,83713912,83746431,84069688,84245650,84356235,84429159,84688733,85165889,85480524,85697290,85756311,85912431,86002289,86085533,86158071,86244855,86279489,86417789,87062726,87106289,87151090,87209499,87243389,87740490,87885844,87897800,87980273,88143233,88283355,88332989,88567119,89043832,89195453,89409508,89623613,89770671,89855779,89943389,89979984,89996573,90020486,90076289,90394433,90473366,90572679,91127155,91132289,91341953,91437028,91539955,91797607,91837853,91943188,91994512,92227313,92234872,92382593,92616524,92809740,92820989,92954644,93069039,93154673,93282653,93538013,93589856,93696475,93767153,93819336,93851606,93894173,93934218,93962751,94168912,94178151,94359352,94359415,94402743,94469668,94578399,94594764,94713208,94727489,94746998,95744650,95980890,95998431,96146333,96170993,96392573,96426555,96955889,97068283,97248113,97625679,97790826,97853213,97895032,97947291,97997693,98084198,98794423,98885025,98929793,98954488,98997056,98999188,99048413,99190493,99355889,99410006,99426653,99519783,99755933,...,2139582047555641615344645766647707201577502647922936503293734425377922118702170064523740140092214237128953629416429652916362153277309207287193879134568911508487500332950761063141654896922333159144346147376354917092526120945459470698558641143790093432275377117196310552242786906813409519208033688740117893802897400209375652194214391076469012521288352901116488202397726632824157259984551246009492939349173935579002037023042359911398974870407135090460437566263502375594365868371176276380141973799613091949392345683835131782513381265180618597910867400210304646730850279708128685223959775446098196931779528058011598842302723178756105217973095340729469694939625575298725799411461901041405673062351680227384119886491687643635140372166772641630485705603325990559107167155172077411361028836215498804207901147475453640583810523859598488785187401446777183412351160376832219789849282392975020919303233645394613458898593168823253163966166572549753603053515889719574509770988778058227778278746627007468878199864423232428871786209114502818446360830796036323906314025753382512389553749684971528798652100513915047337445963124459175198732608031681377020072965999737173708729254637336021616641382411251626658742982884932192397481682709206849644242609898131834729054378806577116241013194185433392845037967084988774582938495753964886096391456095362766077287311565470602477988714445149625348673551646686257959922646542925665757357551863991593300441251102935979977335992806717436576615708483896744452550493533670751351165143247881317671524930967382560778192851114212774627789650198086987470798780080884874476242975473847081756168119022176100414218917272789201180415395480500700520869240447041711858118332320509529678667605703406092980837038593363760815261767929866972570424242733703663834564360702142588175641382795926558107576277552592118892224323832256431987405685687998407559801452876224016749692236663609306342345135846645652891742252282497845674225910940448984911258265682442338248602927416644846320210728182042024609114564659651573533961268774738407426417543472804279312013142637225113451317675904936854700269156566358084570365223784793381256065330991123928902197584578874141555391794983352833572511279974563004938489231824531547572202994124880653964904855882259856635618304843826306840818619037133121213531251765594297213938676902064787124093609919719200222207596136725377805186190098393811516074526749030544031607983337784418231500750684759667241264792319566121976873824699683912450946102369095461667289328024592033219463009132475949445022765243186387375376001690174690051347736704928092287007109043668964018638680669252279555886158431110914148736800808715448273760940253110130180008638048239783689894647076986333772390878899735776374162476658582386639874313012315375086193077919475213765176095733667189051591425982383574146516660176143756442509657843676723821562568785458283876029800509561305948079909189285107087790809358052421409027926373954579417906025313471630337129754143271286844747089742967816893796695687180244246550044518016475542290244451245746550289096554328170373903262331300727165241762580117313338421119461556801464226454081656374523106703927058571448935317491257603424183544019473102674428302875800309485932129259642053538199434610671105658480812944450395464752984852420559609717457032022509778928561957752570951438295018760476263182710305759857133725272497514520352698772431676016995407552272719933446779080000000104680900608701102025112438376784285885592328320704672284350752635694834696271932733629335747035371923337992185382262115752590943250297447127335378914617979729823795317114664908882183799135005364372632338974575675639352743533698600152955518432987159015724180777912205609}
23167  38135264936450482859288214764808681416522074749034840008376382380429487858087: {23167,347385,370544,416862,2198585,2638302,2754017,3259497,3309449,3585305,3934310,4302366,4695593,4721172,5600606,5747169,6707990,6916169,6958217,6988089,7401297,7471313,8049588,8424052,9464097,9863273,9940310,11119277,11704286,11797457,11875385,11928372,12034360,12563885,12763793,13163529,13269158,13369718,13538655,13615913,14090390,14250462,14256088,14373233,14441232,15076662,15620097,15659777,16038099,16246386,16302713,16624097,16853510,16908468,17266697,17373305,17661297,18068889,18233990,18817238,18955940,19079774,19092975,20103609,20108777,20224212,20365840,20533190,20847966,21117593,21321849,21880788,21903869,22371110,22399433,22747128,22848185,22853428,22911570,22948478,23289590,23748710,23752497,23814147,24000473,24156849,24365318,24439008,24603953,24639828,24666710,24893609,25280297,25474934,25590519,26119049,26494553,26757833,26845332,26878817,27256820,27417822,27493884,27619805,27947508,28350175,28498452,29074877,29382113,29600052,29792728,30167990,30196209,30268589,30984353,31665977,31798497,31830422,31984673,31999190,32171513,32602598,32708184,32783540,33143766,33516819,33847229,34020210,34030238,34286390,35192993,35391009,35804657,36114710,36201588,36288224,36731417,36796707,37068086,38014397,38017577,38346833,38398310,38399028,38675032,38736209,38992769,39340248,39900975,40153809,40500250,40824252,40895608,40993277,41143668,41226449,41254814,42127646,42231518,42561040,42607526,42676769,42694973,43173785,43337652,43509411,44099049,44154278,44257779,44826953,45154889,45237110,45319337,45586724,45689822,45692390,46007559,46063569,46077972,46575140,46842353,47713769,47869805,47881170,47882438,47898424,48600300,48750449,48915572,49111097,49203638,49570454,50363993,51073248,51149510,51223766,51761054,51808542,51840320,51924729,52191569,52548185,52578518,52578809,52828169,53367782,53479497,53866868,53885727,54055469,54284532,54374993,54584129,54781190,54830868,55030809,55549673,55727273,55890168,56356097,56466593,57017129,57173177,57279926,57289313,57351297,57443766,57457404,57609149,57857500,58320360,58893969,59200985,59279097,59315369,59496857,59897633,60330740,60494249,60575993,61065137,61189805,61368317,61379412,62208384,62276957,62628244,62876439,62932649,63057822,63077540,63326438,63343073,64149675,64337438,64604883,64648209,64741910,64765286,64814333,64882455,65136113,65610405,65737428,66110153,66427217,66484852,66699353,67011833,67232657,67275518,67688582,68426320,68457369,68885537,68997629,69112685,69207952,69278273,69373238,69427709,69429000,69770585,69776534,69821633,69984432,70045958,70158710,70380809,70445417,71041182,71085305,72105044,72244929,72396888,72593897,72622497,72740702,72794669,73249673,73427766,73560977,73824404,74057600,74365805,74529208,74530349,75349886,75693048,75844166,75874013,76010889,76387193,76415966,76910575,76979610,77690292,77808233,77858946,77913353,77978774,78107625,78260097,78409526,78732486,79595885,79610390,79854689,80275718,80495198,80508710,80705513,81383606,81446499,81891124,82091919,82111584,82233329,82380077,82397798,82564433,82874057,82935222,83314800,83724702,83810942,83823158,83845359,84142409,84190452,84219969,84749513,84995510,85154679,85302366,85331289,85382534,85551233,85658153,86059373,86585177,86622424,87077549,87129428,87235910,87556073,87755897,88039262,88869120,89021649,89113622,89145629,89231453,89238966,89468920,89582164,89998118,90314708,90466340,91081073,91478486,91586333,91954433,92292690,92362083,92375532,92625044,92752457,92843693,93051590,93056097,93478649,93675617,93676574,93729150,94160393,94355128,94378982,94516689,94775668,94793728,94957313,94978360,95284790,95515062,95532468,95594969,95731190,95791385,96045617,96234077,96337569,96340615,96490526,96610452,97363217,97450227,97492406,97648742,97670153,97728475,98361785,98407910,98445536,98858273,99404678,99745190,99961277,99977760,...,2852776063407522153792861022196942935436670197230582004391645900503896158269560086031653520122952316171938172555239537221816204369745609716258505512758548677983333777267681417522206529229777545525794863168473222790034827927279294264744854858386791243033836156261747402990382542417879358944044918320157191737196533612500869592285854768625350028384470534821984269863635510432209679979401661345990585798898580772002716030723146548531966493876180120613916755018003167459154491161568368506855965066150789265856460911780175710017841686907491463881156533613739528974467039610838246965279700594797595909039370744015465123070297571674806957297460454305959593252834100398301065881949201388540897416468906969845493181988916858180187162889030188840647607471101320745476222873562769881814705114953998405610534863300604854111747365146131318380249868595702911216468213835776293053132376523966694559070978193859484611864790891764337551954888763399671470738021186292766013027985037410970371038328836009958504266485897643238495714945486003757928481107728048431875085367671176683186071666246628705064869467351886729783261284165945566931643477375575169360097287999649564944972339516448028822188509881668835544990643846576256529975576945609132858990146530842446305405838408769488321350925580577857126717289446651699443917994338619848128521941460483688103049748753960803303984952593532833798231402195581677279896862057234221009810069151988791067255001470581306636447990408956582102154277978528992603400658044894335134886857663841756895366574623176747704257134818950366170386200264115983294398373441179832634990633965129442341557492029568133885625223030385601573887193974000934027825653929388949144157776427346039571556807604541457307782718124485014420349023906489296760565656978271551779419147602856784234188510394568744143435036736789491856299098443008575983207580917331210079735270501632022332922982218145741789793514462194203855656336376663794232301214587265313215011020909923117664803903222193128426947637576056032812152752879535431378615025032984543235223391297072372416017523516300151268423567873249139600358875421810779427153631713057841674753774654831905202930112771832188740522393311137111430015039966084006584652309099375396762937325499840871953206474509679808847491073125101742454424825382844161618041669020792396285251569202753049498791479892958933629610128182300503740248253464525082021432702332040725375477311117045890975334334246346222988353056426088162635831766266245216601261469825460615556385770699456044292617345509967932593363686990915183167168002253566253401796982273237456382676145391558618691518240892336372741181544574814552198315734411620597698347920337480173573344850730986378253192862769315111696521171866314368498883302211443182186499084016420500114924103892633618353568127644889585402121901309844765528688880234858341923346210458235631762083425047277711834706400679415074597439878919046809450387745810736561878703901831939439223874700417962173782839672191028382459662786323957089191728927582906992328733392690688634056386992601660995400385462072437560498537683108400969553655683440156417784561492615409068618968605442208499364142271902744761931913756655010137898911392025964136899237737167733745981242839012856071384265912814228140877974417259267193953003979803227412812956609376030013038571415943670094601917726691680635017576947074346476178300363330019360470265029908901355993876736363626577929038773333333472907867478268136033483251169045714514123104427606229712467670180926446261695910311505780996047162564450656247176349487670121257667063262836447171886157306306431727089486219878509578398846673819163509785299434234185803658044931466870607357910649545354298907703882940812}
23168  38271698299698202039726909740281287167184335411633451653378430916202591878808: {324226,463180,555816,625293,855847,1064578,2237887,2513431,2926207,3095266,3201031,3475567,3517736,3612727,3647746,3957453,4345996,4750978,4934626,5026426,5209978,5736488,5851906,5901465,6294896,6309946,6401506,6453549,6859066,7018327,7081758,7498978,7662892,7955578,8400909,8867578,9317452,9868396,10061985,10232578,10505146,10530065,10732784,11311831,12074382,12373687,12474077,12618796,12636078,13562767,13957831,14035426,14305978,14910465,15042950,15904496,15926266,16314607,16375426,17272546,17451778,17551372,17556429,17613847,17720506,17820110,17892558,18051540,18078586,19000616,19254976,19549207,19903737,19954306,20054577,20102216,20399866,20756026,20826796,21135585,21200866,21375693,21384132,21661848,22089346,22104487,22358431,22544624,22612087,22614993,22992031,23548396,23684578,23694925,24091852,24369579,24630967,24745186,24882031,25280265,25362702,25457300,25758487,26068637,26771578,26804812,26965616,27004447,27035266,27350985,27797288,27825466,28225857,28366687,28429132,28433910,28566785,28619661,28983007,29174384,30087847,30329504,30336318,30548760,30711778,30799785,31065031,31271949,31669996,31752196,32209132,32278786,32585344,32821182,32853104,32886778,33556665,33840653,33848767,33927226,34071025,34089031,34120692,34280142,34367355,34422717,34446586,34688431,34934385,35623065,35656186,35783657,35793776,35881831,36547977,36557096,36658512,36776578,36959742,37000065,37240910,37263344,37997936,38011807,38212401,38247031,38323426,38494978,39351778,39466736,39522946,40261612,40267998,40377826,40885230,40889986,40979425,41126733,41240826,41657146,41911121,41921262,42316831,42397996,42546727,42747678,42891031,43000529,43357306,43610912,44191688,44400078,44689092,44712826,44881978,44943247,45135586,45251985,45360280,45726778,46523287,46860031,47188012,47419831,47643247,47745633,47998785,47999746,48200527,48251578,48268784,48343790,48670978,48903897,49062276,49175310,49715649,49759546,50521447,50761978,51030315,51045357,51119510,51178978,51198704,51429585,52453664,52702327,53201300,53538412,53672578,53781967,53921146,54172065,54252346,54302382,54319087,54432336,54533431,54858224,55068031,55602129,56974978,56983405,57139426,57597465,57598542,57783536,57960706,58012548,58218925,58798732,59010372,59598466,59873030,60556958,60750375,60829831,60904066,61144465,61236378,61311226,61343412,61418092,61437296,61547527,61649767,61715502,61854031,61882221,62043106,62124346,62530306,62566687,63097978,63191469,63347277,63841560,63911289,64311778,64715578,64800400,65006478,65213057,65580967,65680327,66231417,66969466,67063807,67129978,67333585,67691266,67855665,68097664,68171746,68335831,68380086,68534733,68538585,68891386,69078056,69116958,69232972,69290626,69370426,69788431,69862710,69980887,70485946,71034247,71305996,71518978,71677666,71821755,71823657,71847636,71889607,71984287,72321875,72379376,72456607,72645031,72770126,72900450,72944866,73107824,73373358,73374412,73805457,74286778,74355681,74520224,74837986,75309826,75413425,75436831,75620647,75794621,76251778,76408546,76468396,76486906,76591688,76609872,76724265,76835649,77080807,77641581,77712813,77760480,78163831,78285305,78525292,78752386,78846925,78867777,79038796,79058431,80051673,80384506,80800302,81117553,81426798,81839216,82171785,82246302,82560737,82944512,83106065,83627578,83835252,83858146,84077096,84105127,84165346,84548986,84778978,85315066,85532900,85697506,85919889,86122567,86139844,86165649,86186106,86197612,86509940,86786250,87198031,87480540,87649904,88017031,88179967,88439266,88990327,90104578,90131305,90192367,90271927,90430831,90481978,90496110,90668647,90826831,91276492,92069118,92237527,92280505,92362978,92392831,92513026,92572000,93161510,93165031,93312576,93395287,93548431,93636346,93829757,93942366,94586733,94616310,94721576,94756066,94830586,94989657,95500546,95723578,96033727,96181831,96317626,96326572,96329647,96506157,96529184,96829996,97112865,97147929,97903688,98008831,98093626,98606142,98830906,99083431,99419578,99426217,99579367,99727278,...,4279164095111283230689291533295414403155005295845873006587468850755844237404340129047480280184428474257907258832859305832724306554618414574387758269137823016975000665901522126283309793844666318288692294752709834185052241890918941397117282287580186864550754234392621104485573813626819038416067377480235787605794800418751304388428782152938025042576705802232976404795453265648314519969102492018985878698347871158004074046084719822797949740814270180920875132527004751188731736742352552760283947599226183898784691367670263565026762530361237195821734800420609293461700559416257370447919550892196393863559056116023197684605446357512210435946190681458939389879251150597451598822923802082811346124703360454768239772983375287270280744333545283260971411206651981118214334310344154822722057672430997608415802294950907281167621047719196977570374802893554366824702320753664439579698564785950041838606467290789226917797186337646506327932333145099507206107031779439149019541977556116455556557493254014937756399728846464857743572418229005636892721661592072647812628051506765024779107499369943057597304201027830094674891926248918350397465216063362754040145931999474347417458509274672043233282764822503253317485965769864384794963365418413699288485219796263669458108757613154232482026388370866785690075934169977549165876991507929772192782912190725532154574623130941204955977428890299250697347103293372515919845293085851331514715103727983186600882502205871959954671985613434873153231416967793488905100987067341502702330286495762635343049861934765121556385702228425549255579300396173974941597560161769748952485950947694163512336238044352200828437834545578402360830790961001401041738480894083423716236664641019059357335211406812185961674077186727521630523535859733945140848485467407327669128721404285176351282765591853116215152555105184237784448647664512863974811371375996815119602905752448033499384473327218612684690271693291305783484504564995691348451821880897969822516531364884676497205854833289692640421456364084049218229129319303147067922537549476814852835086945608558624026285274450226902635351809873709400538313132716169140730447569586762512130661982247857804395169157748283110783589966705667145022559949126009876978463649063095144405988249761307929809711764519713271236609687652613681637238074266242427062503531188594427877353804129574248187219839438400444415192273450755610372380196787623032149053498061088063215966675568836463001501369519334482529584639132243953747649399367824901892204738190923334578656049184066438926018264951898890045530486372774750752003380349380102695473409856184574014218087337928037277361338504559111772316862221828297473601617430896547521880506220260360017276096479567379789294153972667544781757799471552748324953317164773279748626024630750172386155838950427530352191467334378103182851964767148293033320352287512885019315687353447643125137570916567752059601019122611896159818378570214175581618716104842818055852747909158835812050626943260674259508286542573689494179485935633787593391374360488493100089036032951084580488902491493100578193108656340747806524662601454330483525160234626676842238923113602928452908163312749046213407854117142897870634982515206848367088038946205348856605751600618971864258519284107076398869221342211316961625888900790929505969704841119219434914064045019557857123915505141902876590037520952526365420611519714267450544995029040705397544863352033990815104545439866893558160000000209361801217402204050224876753568571771184656641409344568701505271389669392543865467258671494070743846675984370764524231505181886500594894254670757829235959459647590634229329817764367598270010728745264677949151351278705487067397200305911036865974318031448361555824411218}
23169  38408616562843740475535509155877959875750289003964165943785007041218519993198: {46334,486339,578975,694770,741088,833724,1596867,3078019,3911167,4397170,4642899,5019427,5276604,5432495,5471619,5508034,6518994,6618898,7126467,7170610,7401939,7539639,7814967,7868620,8350291,8604732,8777859,9391186,9442344,9464919,9578615,9602259,10288599,10425767,10622637,11201212,11248467,11494338,11646815,11933367,12335495,13301367,13415980,13832338,13916434,13976178,14802594,14942626,14991251,15348867,15419039,15757719,15773495,16099176,16625539,16848104,17589439,18030947,18111573,18928194,18954117,19726546,19880620,20812199,21053139,21458967,21939215,22238554,22564425,23408572,23594914,23750770,23856744,23889399,24068720,24322627,24563139,24970019,25127770,25527586,25616327,25908819,26033495,26177667,26327058,26538316,26580759,26730165,26739436,26838837,27077310,27117879,27231826,27464711,27858767,28180780,28500924,28512176,28746466,28882464,29077399,29435495,29931459,30114815,30153324,30599799,30867967,31134039,31240194,31319554,31329059,31801299,31821625,31987459,32076198,32492772,32605426,33134019,33181907,33248194,33506015,33707020,33816936,34533394,34629571,34692647,34746610,34894319,35322594,35484719,35526867,35536415,36137778,36467980,37117779,37634476,37911880,38020879,38044053,38159548,38185950,38667727,38809247,39491591,39587495,39690245,40157367,40207218,40217554,40261415,40448424,40552899,40731680,41066380,41591719,41695932,41738199,42235186,42486679,42643698,42650865,43761576,43807738,44027267,44257919,44477087,44742220,44798866,45494256,45504477,45696370,45706856,45823140,45896956,46067667,46579180,47197679,47497420,47504994,47628294,47717911,47918467,48000946,48313698,48418179,48722167,48730636,48878016,49207906,49231773,49279656,49330167,49333420,49756487,49787218,50327015,50560594,50890839,50949868,51181038,51267767,51420213,51669879,52071247,52238098,52989106,52997495,53484279,53515666,53690664,53757634,54513640,54835644,54987768,55164867,55239610,55439613,55498199,55861365,55895016,56471491,56698979,56700350,56996904,57485139,57614167,57742467,58149754,58266599,58764226,58985015,59027667,59200104,59284419,59585456,60335980,60392418,60401997,60443299,60537178,60566739,60772051,61327845,61334979,61861239,61968706,62282359,62485719,62881893,63246227,63331954,63596994,63660844,63953699,63969346,63998380,64121517,64343026,64741127,64783967,65035959,65205196,65416368,65567080,66287532,66432979,66501625,66600117,66923015,67017727,67033638,67069239,67118927,67322967,67383919,67481231,67694458,67703379,68040420,68060476,68572780,68588119,68590167,69284287,69906839,70385986,70712807,70782018,71609314,71999619,72099239,72229420,72363367,72377367,72403176,72515685,72576448,73006467,73462834,73498415,73567459,73593414,73762965,74136172,74554367,74639319,75459479,76028794,76035154,76142967,76679265,76693666,76768467,76772615,76796620,76798056,77350064,77472418,77814991,77985538,78680496,79801950,80307618,80508867,80881719,81000500,81378519,81453573,81648504,81791216,81986554,82287336,82452898,82509628,82881379,84069311,84255292,84463036,85122080,85215052,85353538,85389946,85462467,85665727,85709139,86347570,86397813,86541215,86675304,86941059,87018822,87069587,87763519,88198098,88308556,88515558,89132495,89397699,89653906,89809545,89875139,90309778,90474220,90594307,90638674,90835437,91173448,91356099,91379644,91384780,91390919,91409567,91718015,91854567,91966839,92015118,92127138,92155944,92573253,93064659,93150280,93186519,93684706,93795459,94168567,94646967,95354807,95427538,95585495,95739610,95762340,95764876,95796848,96053959,96467667,96510371,96757759,97073367,97200600,97428551,97500898,97509717,97678819,97718567,97831144,98156615,98222194,98407276,98798495,99140908,99519427,99729271,...,6418746142666924846033937299943121604732507943768809509881203276133766356106510193571220420276642711386860888249288958749086459831927621861581637403706734525462500998852283189424964690766999477433038442129064751277578362836378412095675923431370280296826131351588931656728360720440228557624101066220353681408692200628126956582643173229407037563865058703349464607193179898472471779953653738028478818047521806737006111069127079734196924611221405271381312698790507126783097605113528829140425921398839275848177037051505395347540143795541855793732602200630913940192550839124386055671879326338294590795338584174034796526908169536268315653919286022188409084818876725896177398234385703124217019187055040682152359659475062930905421116500317924891457116809977971677321501465516232234083086508646496412623703442426360921751431571578795466355562204340331550237053481130496659369547847178925062757909700936183840376695779506469759491898499717649260809160547669158723529312966334174683334836239881022406634599593269697286615358627343508455339082492388108971718942077260147537168661249054914586395956301541745142012337889373377525596197824095044131060218897999211521126187763912008064849924147233754879976228948654796577192445048127620548932727829694395504187163136419731348723039582556300178535113901254966323748815487261894658289174368286088298231861934696411807433966143335448876046020654940058773879767939628776997272072655591974779901323753308807939932007978420152309729847125451690233357651480601012254053495429743643953014574792902147682334578553342638323883368950594260962412396340242654623428728926421541245268504357066528301242656751818367603541246186441502101562607721341125135574354996961528589036002817110218278942511115780091282445785303789600917711272728201110991503693082106427764526924148387779674322728832657776356676672971496769295962217057063995222679404358628672050249076709990827919027035407539936958675226756847493537022677732821346954733774797047327014745808782249934538960632184546126073827343693978954720601883806324215222279252630418412837936039427911675340353953027714810564100807469699074253711095671354380143768195992973371786706592753736622424666175384950058500717533839923689014815467695473594642716608982374641961894714567646779569906854914531478920522455857111399363640593755296782891641816030706194361372280829759157600666622788410176133415558570295181434548223580247091632094823950013353254694502252054279001723794376958698365930621474099051737352838307107286385001867984073776099658389027397427848335068295729559162126128005070524070154043210114784276861021327131006892055916042007756838667658475293332742446210402426146344821282820759330390540025914144719351069683941230959001317172636699207329122487429975747159919622939036946125258579233758425641295528287201001567154774277947150722439549980528431269327528973531030171464687706356374851628089401528683917844239727567855321263372428074157264227083779121863738253718075940414891011389262429813860534241269228903450681390087061540732739650133554049426626870733353737239650867289662984511121709786993902181495725287740351940015263358384670404392679362244969123569320111781175714346805952473772810272550632058419308023284908627400928457796387778926160614598303832013316975442438833351186394258954557261678829152371096067529336785685873257712854314885056281428789548130917279571401175817492543561058096317295028050986222656818159800340337240000000314042701826103306075337315130352857656776984962114016853052257907084504088815798200888007241106115770013976556146786347257772829750892341382006136743853939189471385951343994726646551397405016093117897016923727026918058230601095800458866555298961477047172542333736616827}
23170  38546021437945916981375420668659213492981291921789221930189111080279880361253: {69501,254749,648452,926360,1042155,1111632,1225201,1250586,1640029,1711694,1916221,2054209,2129156,2467741,2605441,3018109,3430129,3841501,4475774,4525681,5026862,5208061,5344321,5852414,6024541,6160369,6190532,6402062,6595755,6702961,6951134,7035472,7109149,7225454,7244401,7295492,7914906,8054401,8189149,8262051,8691992,8727421,9130369,9501956,9532669,9778491,9800509,9835775,9869252,9928347,10052852,10068061,10201729,10419956,10468849,10755915,10868989,11135389,11472976,11703812,11802930,12589792,12595441,12619892,12803012,12907098,13520029,13718132,14001515,14036654,14086779,14163516,14742091,14834749,14997956,15325784,15750769,15911156,16769975,16801818,17053249,17241507,17312881,17735156,18348529,18477661,18634904,19250941,19736792,19765021,20123970,20277949,20465156,20748507,20874651,20917489,20964267,21010292,21060130,21465568,21682561,22203891,22413939,22445041,22623662,23457649,24088189,24148764,24214081,24339901,24747374,24850775,24948154,25237592,25272156,26218561,27125534,27585949,27915662,27957361,28070852,28204609,28392291,28574941,28611956,28821469,29260715,29589819,29804701,29820930,30085900,31149121,31808992,31852532,32242621,32629214,32750852,32968381,33172895,33357831,33424295,33571201,33691549,33932029,34172221,34531969,34545092,34651741,34771441,34903556,35102744,35112858,35225975,35227694,35392371,35441012,35626155,35640220,35785116,35845501,36103080,36157172,37691655,38001232,38211421,38291379,38509952,38915581,39098414,39383581,39490587,39807474,39908612,39993499,40109154,40204432,40432369,40615965,40799732,40847739,41359729,41512052,41653592,41936989,42133775,42271170,42401732,42751386,42768264,42856861,43119699,43323696,43543741,43657969,43886209,44178692,44208974,44455549,44716862,45089248,45224174,45229986,45249601,45584975,45984062,46265341,46860291,46979331,47043095,47096792,47369156,47387101,47389850,47498881,47580467,47699435,47945281,48114297,48183704,48739158,48908139,49261934,49490372,49498609,49764062,49829629,49872291,50049949,50160001,50269981,50560530,50725404,50818807,50914600,51256561,51332975,51516974,51800091,52119915,52137274,52237309,52454461,52983891,53543156,53609624,53858929,53931232,54008894,54070532,54206667,54610141,54701970,55037821,55144561,55594576,55650932,55783489,55927775,56451714,56631361,56733374,56858264,56867820,57053569,57133570,57239322,57278925,57371195,57684721,57789661,57966014,58223975,58348768,58939249,59371775,59458909,59976769,60175694,60310827,60326331,60659008,60672636,60904381,60913295,61097520,61212289,61423556,61599570,61666775,62130062,62539069,62543898,63339992,63352779,63504392,63687335,63752989,63965547,64054849,64255729,64418264,64557572,64756669,64856641,65170688,65642364,65706208,65711607,65773556,66050689,67113330,67198299,67332541,67681306,67697534,67854452,68142050,68178062,68212849,68241384,68544555,68560284,68734710,68845434,68893172,69376862,69868770,70340161,70723201,71246130,71257491,71312372,71442441,71567314,71587552,71763662,72001419,72054769,72470547,73091101,73095954,73114192,73278589,73317024,73553156,73559281,73811859,73919484,74000130,74397469,74481820,74526688,74680827,74860609,75321949,75419975,75840891,75995872,76023614,76424802,76494062,76513009,76646852,76771557,76786141,76877041,76989956,77420929,78052189,78357147,78679921,78703556,78769309,78933472,79037041,79045892,79483659,79576055,79776767,79836349,79997975,80273499,80454001,80523224,80535996,80541949,80636451,80717629,80755652,81506495,81770460,81779972,81958850,82199281,82253466,82481652,82544881,82859415,82889329,83314292,83318269,83403841,83822242,83842524,84633662,84795992,85050525,85075595,85093454,85184221,85495356,85602251,85715975,85782062,86001058,86104129,86711867,86714612,87221824,87224631,88146339,88162429,88383376,88406401,88800156,89378184,89425652,89763956,89776669,89886494,90016321,90271172,90286775,90503970,90588627,90720560,90805767,91126129,91362109,91453556,91519069,91910209,92670215,92953059,93046574,93303409,93720062,93838909,94219249,94267019,94376024,94446589,94839662,94997931,95124721,95286494,95395491,95491266,95722609,95797021,95866199,95954019,95995775,95997570,95999492,96401054,96463489,96503156,96514539,96537568,96687580,97197169,97341956,97807794,98068081,98124552,98284189,98350620,98999869,99431298,99496561,99519092,...,8558328190222566461378583066590828806310010591691746013174937701511688474808680258094960560368856948515814517665718611665448613109236829148775516538275646033950001331803044252566619587689332636577384589505419668370104483781837882794234564575160373729101508468785242208971147627253638076832134754960471575211589600837502608776857564305876050085153411604465952809590906531296629039938204984037971757396695742316008148092169439645595899481628540361841750265054009502377463473484705105520567895198452367797569382735340527130053525060722474391643469600841218586923401118832514740895839101784392787727118112232046395369210892715024420871892381362917878779758502301194903197645847604165622692249406720909536479545966750574540561488667090566521942822413303962236428668620688309645444115344861995216831604589901814562335242095438393955140749605787108733649404641507328879159397129571900083677212934581578453835594372675293012655864666290199014412214063558878298039083955112232911113114986508029875512799457692929715487144836458011273785443323184145295625256103013530049558214998739886115194608402055660189349783852497836700794930432126725508080291863998948694834917018549344086466565529645006506634971931539728769589926730836827398576970439592527338916217515226308464964052776741733571380151868339955098331753983015859544385565824381451064309149246261882409911954857780598501394694206586745031839690586171702663029430207455966373201765004411743919909343971226869746306462833935586977810201974134683005404660572991525270686099723869530243112771404456851098511158600792347949883195120323539497904971901895388327024672476088704401656875669091156804721661581922002802083476961788166847432473329282038118714670422813624371923348154373455043261047071719467890281696970934814655338257442808570352702565531183706232430305110210368475568897295329025727949622742751993630239205811504896066998768946654437225369380543386582611566969009129991382696903643761795939645033062729769352994411709666579385280842912728168098436458258638606294135845075098953629705670173891217117248052570548900453805270703619747418801076626265432338281460895139173525024261323964495715608790338315496566221567179933411334290045119898252019753956927298126190288811976499522615859619423529039426542473219375305227363274476148532484854125007062377188855754707608259148496374439678876800888830384546901511220744760393575246064298106996122176126431933351137672926003002739038668965059169278264487907495298798735649803784409476381846669157312098368132877852036529903797780091060972745549501504006760698760205390946819712369148028436174675856074554722677009118223544633724443656594947203234861793095043761012440520720034552192959134759578588307945335089563515598943105496649906634329546559497252049261500344772311677900855060704382934668756206365703929534296586066640704575025770038631374706895286250275141833135504119202038245223792319636757140428351163237432209685636111705495818317671624101253886521348519016573085147378988358971871267575186782748720976986200178072065902169160977804982986201156386217312681495613049325202908660967050320469253353684477846227205856905816326625498092426815708234285795741269965030413696734176077892410697713211503201237943728517038568214152797738442684422633923251777801581859011939409682238438869828128090039115714247831010283805753180075041905052730841223039428534901089990058081410795089726704067981630209090879733787116320000000418723602434804408100449753507137143542369313282818689137403010542779338785087730934517342988141487693351968741529048463010363773001189788509341515658471918919295181268458659635528735196540021457490529355898302702557410974134794400611822073731948636062896723111648822436}
23171  38683914643068617186554239332467360565856056909938242511046570172706206774457: {92668,810565,972678,1157950,1389540,1482176,1667448,1875879,2567541,2661445,3193734,4327741,6156038,6713661,7378789,7540293,7605493,7738165,7822334,8778621,8794340,9044221,9119365,9285798,9603093,10038854,10426701,10553208,10838181,10864990,10934341,10943238,11016068,11872359,11877445,12321361,12336565,12566065,13024945,13037988,13237796,13410061,14252934,14341220,14540593,14629765,14803878,15079278,15499429,15629934,15737240,15774865,16003765,16305541,16482421,16700582,17147665,17209464,17269693,17555718,17704395,17716933,18538861,18747445,18782372,18884688,18929838,19157230,19204518,19360647,19888945,20057389,20577198,20851534,21054981,21245274,21309301,22082893,22168945,22402424,22496934,22586509,22988676,23260693,23293630,23866734,24608221,24670990,25202727,25581445,25618549,26123581,26262865,26296093,26602734,26831960,27133381,27664676,27832868,27952356,28643521,28804453,29358829,29605188,29885252,29982502,30185955,30273841,30697734,30714901,30838078,31136269,31515438,31546990,31590195,32198352,32391061,32553181,33184789,33251078,33696208,33935493,35088565,35178878,35199109,35567821,35764945,36061894,36223146,36446893,37121061,37422231,37607375,37715029,37856388,37908234,37931941,38020993,38999533,39214981,39453092,39582001,39726181,39761240,39815665,40148293,40688301,40702381,40830289,40938565,41000401,41209693,41624398,41873493,42106278,42160741,42215149,42238141,42917934,43181365,43629445,43878430,44261761,44301265,44477108,44550275,44731395,45128850,45196465,45261841,46646701,46817144,46908421,47189828,47201773,47501540,47503189,47713488,47778798,48137440,48645254,48943821,49126278,49464733,49715293,49750981,49760821,49885765,49940038,50255540,50261629,50999665,51055172,51232654,51817638,51890065,52066990,52355334,52654116,52669287,52837333,52841541,53002165,53076632,53161518,53460330,53478872,53606593,53677674,54154620,54235758,54463652,54929422,55223365,55422493,55503013,55566343,55717534,55808749,56264461,56361560,56365981,56703901,57001848,57024352,57299269,57469861,57492932,57758773,57764928,58154798,58647621,58803121,58870990,59048701,59211445,59325661,59499793,59711211,59862918,60163731,60229630,60259309,60306648,60586501,61199598,61735934,61862965,62268078,62480388,62639108,62658118,63354061,63406755,63602598,63643250,63974918,64127079,64152396,64985544,65121493,65210852,66121621,66268038,66313461,66363814,66496388,66928945,67012030,67075293,67124749,67244341,67414040,67487089,67588165,67633872,67836261,67844979,68817493,68976093,69009601,69066788,69259142,69350221,69385294,69493220,69563665,69788638,70393021,70457821,70645188,70687921,70969438,71053734,71072830,71084775,71216101,72105493,72135109,72275556,72507661,72606493,72935960,73108737,73892901,74196493,74235558,74543281,74560861,74646093,74745541,75268952,75335041,75466033,75823760,75840795,76041758,76088106,76319096,76371900,76512241,76779445,76927861,77174581,77275461,77335454,77618494,78131173,78205911,78983182,79174990,79380490,80247493,80314734,80414436,80435108,80522830,80663581,80696965,80896848,81013341,81105798,81463360,82052955,82132760,82216945,82296541,82579021,83183438,83325469,83391864,83476398,83569681,84076609,84470372,84677571,84818065,84973358,85100061,85287396,85301730,85700355,85858983,86116465,86949021,87418789,87523152,87571429,87615476,88054534,88170253,88515838,88559581,88954174,89140465,89484440,89597732,89882941,90263541,90790081,90988512,91008954,91163893,91392740,91413712,91646280,91793912,91941445,92135334,92399355,92725093,93102275,93158360,93195093,93495061,93692221,93815847,94395358,94994840,95009988,95256588,95363089,95435822,95808565,95836934,95959501,96001892,96237445,96250801,96464293,96518749,96627396,96836358,97243021,97444334,97461272,97693741,97756032,98379445,98415812,98463546,98559312,98660334,98666840,98807365,99228973,99352753,99512974,99574436,99781909,...,12837492285333849692067874599886243209465015887537619019762406552267532712213020387142440840553285422773721776498577917498172919663855243723163274807413469050925001997704566378849929381533998954866076884258129502555156725672756824191351846862740560593652262703177863313456721440880457115248202132440707362817384401256253913165286346458814075127730117406698929214386359796944943559907307476056957636095043613474012222138254159468393849222442810542762625397581014253566195210227057658280851842797678551696354074103010790695080287591083711587465204401261827880385101678248772111343758652676589181590677168348069593053816339072536631307838572044376818169637753451792354796468771406248434038374110081364304719318950125861810842233000635849782914233619955943354643002931032464468166173017292992825247406884852721843502863143157590932711124408680663100474106962260993318739095694357850125515819401872367680753391559012939518983796999435298521618321095338317447058625932668349366669672479762044813269199186539394573230717254687016910678164984776217943437884154520295074337322498109829172791912603083490284024675778746755051192395648190088262120437795998423042252375527824016129699848294467509759952457897309593154384890096255241097865455659388791008374326272839462697446079165112600357070227802509932647497630974523789316578348736572176596463723869392823614867932286670897752092041309880117547759535879257553994544145311183949559802647506617615879864015956840304619459694250903380466715302961202024508106990859487287906029149585804295364669157106685276647766737901188521924824792680485309246857457852843082490537008714133056602485313503636735207082492372883004203125215442682250271148709993923057178072005634220436557885022231560182564891570607579201835422545456402221983007386164212855529053848296775559348645457665315552713353345942993538591924434114127990445358808717257344100498153419981655838054070815079873917350453513694987074045355465642693909467549594094654029491617564499869077921264369092252147654687387957909441203767612648430444558505260836825675872078855823350680707906055429621128201614939398148507422191342708760287536391985946743573413185507473244849332350769900117001435067679847378029630935390947189285433217964749283923789429135293559139813709829062957841044911714222798727281187510593565783283632061412388722744561659518315201333245576820352266831117140590362869096447160494183264189647900026706509389004504108558003447588753917396731861242948198103474705676614214572770003735968147552199316778054794855696670136591459118324252256010141048140308086420229568553722042654262013784111832084015513677335316950586665484892420804852292689642565641518660781080051828289438702139367882461918002634345273398414658244974859951494319839245878073892250517158467516851282591056574402003134309548555894301444879099961056862538655057947062060342929375412712749703256178803057367835688479455135710642526744856148314528454167558243727476507436151880829782022778524859627721068482538457806901362780174123081465479300267108098853253741466707474479301734579325969022243419573987804362991450575480703880030526716769340808785358724489938247138640223562351428693611904947545620545101264116838616046569817254801856915592775557852321229196607664026633950884877666702372788517909114523357658304742192135058673571371746515425708629770112562857579096261834559142802351634985087122116192634590056101972445313636319600680674480000000628085403652206612150674630260705715313553969924228033706104515814169008177631596401776014482212231540027953112293572694515545659501784682764012273487707878378942771902687989453293102794810032186235794033847454053836116461202191600917733110597922954094345084667473233654}
23172  38822297902301717653862201278225022546738744181304018879129632337675048980219: {115835,139002,301067,509498,671147,948371,1296904,1459017,1686227,1736925,1852720,2084310,2223264,2330171,2450402,2501172,2513867,2605667,3018371,3280058,3423388,3476171,3832442,4108418,4115747,4258312,4571627,4790601,4844771,4935482,5210882,5253947,5753171,6036218,6206171,6860258,7109771,7154867,7683002,8862587,8951548,9051362,9234057,9578171,9801371,9845987,10053724,10416122,10514267,10688642,10992925,11402507,11704828,11733501,11801171,12049082,12320738,12381064,12804124,13191510,13405922,13521227,13565171,13770085,13902268,13928697,14070944,14218298,14223371,14442371,14450908,14488802,14590984,14879771,15058281,15534371,15829812,16108802,16143707,16297485,16378298,16414857,16524102,16547245,16577987,17383984,17454842,17926525,18260738,18393227,18522347,19003912,19065338,19556982,19601018,19602121,19638371,19671550,19738504,19856694,20105704,20136122,20403458,20839912,20937698,21379401,21511830,21737978,21811787,22205817,22270778,22447067,22573907,22618917,22945952,22996187,23207027,23407624,23444901,23459771,23477965,23501867,23605860,24132347,24467867,25050873,25179584,25190882,25239784,25606024,25814196,25971371,26333577,26967947,27040058,27436264,28001147,28003030,28073308,28173558,28248371,28327032,28394757,28454171,28735845,28806777,28865171,29484182,29669498,29930027,29995912,30460427,30651568,30865797,31151987,31277301,31501538,31679267,31822312,31867911,31922171,32285987,32487827,32729771,32971427,33539950,33603636,33694667,33745401,33935171,34106498,34175387,34483014,34580845,34625762,34694867,34774667,34791085,34940445,35470312,35800101,35888507,36697058,36955322,37006485,37269808,37356565,37547507,38254187,38501882,39075371,39473584,39530042,39904101,40203587,40247940,40555898,40930312,40965001,41402171,41497014,41749302,41834978,41928534,41940947,42020584,42120260,42209747,42401507,42899147,42931136,43365122,43928387,44407782,44459771,44497667,44827878,44890082,44973753,45027371,45247324,45253907,45404771,46046601,46257117,46382267,46442053,46794013,46915298,46943747,47093171,47273157,47320485,47428907,47503427,47875547,48176378,48297528,48428162,48679802,49316365,49494748,49540187,49701550,49834427,49876617,49896308,50274827,50475184,50544312,50604371,52242371,52437122,52768317,53109347,53178169,53648867,53864171,54092841,54251068,54334719,54615467,55078787,55149947,55171898,55596385,55788947,55824371,55831324,55914722,56001371,56141704,56231461,56409218,56784582,56862351,57094307,57149882,57223912,57375107,57642938,58521430,58840907,58987285,59179638,59376925,59464787,59609402,59641860,59706707,60017171,60171800,60498827,60704771,60910427,61355027,61934387,62298242,62375867,62436597,62579171,62819425,63159417,63591371,63617984,63705064,63818965,64061267,64376901,64485242,64796507,64896467,65258428,65501704,65817645,65860333,65892107,65936762,66057347,66090371,66345790,66551867,66715662,66749171,66779209,66848590,67142402,67383098,67437467,67693275,67763987,67864058,68079565,68252267,68344442,68706371,69029771,69063938,69090184,69303482,69542882,69807112,70205488,70225716,70451950,70455388,70666667,70784742,70882024,70953371,71252310,71280440,71570232,71588171,71668197,71691002,71866165,72062171,72188267,72206160,72314344,72659987,72967881,73129907,73504547,73689417,74436107,74590667,74910057,75383310,75513827,76002464,76422842,76520987,76582758,76848981,77019904,77459171,77726457,77831162,78060371,78090347,78100485,78180227,78196828,78298885,78533001,78767162,78981174,79075067,79614948,79742277,79817224,79986998,80190495,80218308,80319673,80408864,80462507,80516511,80550467,80579771,80755427,80864738,81231930,81353637,81513565,81599464,81695478,82394133,82719458,82926827,83024104,83120485,83184371,83307184,83576301,83754371,83873978,83924747,84267550,84542340,84803464,85278613,85502772,85536528,85713722,86113427,86141171,86239398,86333485,86528747,86647392,86694371,86866525,87087482,87107171,87216947,87232197,87271787,87315938,87627467,87772418,88090547,88199171,88306485,88357384,88417948,88605371,88911098,89009771,89144171,89162269,89433724,89572907,89786507,89794377,90105947,90178496,90344445,90448348,90459972,90499202,90503627,90899507,91162427,91169950,91372187,91529171,91799397,91968124,92335667,92530682,92603901,93402117,93720582,93874787,93958662,93987177,94086190,94193584,94229771,94482371,94738312,94774202,94779700,94834667,94997762,95135387,95160934,95398870,95403897,95464875,95733371,95890562,95962377,96228594,96367408,96498947,97232507,97478316,97816278,97958867,98079227,98295371,98523868,98980744,98997218,99034907,99389987,99402057,99460787,99528124,99545721,99602171,99659258,99744582,...,19256238428000774538101811899829364814197523831306428529643609828401299068319530580713661260829928134160582664747866876247259379495782865584744912211120203576387502996556849568274894072300998432299115326387194253832735088509135236287027770294110840890478394054766794970185082161320685672872303198661061044226076601884380869747929519688221112691595176110048393821579539695417415339860961214085436454142565420211018333207381239202590773833664215814143938096371521380349292815340586487421277764196517827544531111154516186042620431386625567381197806601892741820577652517373158167015637979014883772386015752522104389580724508608804946961757858066565227254456630177688532194703157109372651057561165122046457078978425188792716263349500953774674371350429933915031964504396548696702249259525939489237871110327279082765254294714736386399066686613020994650711160443391489978108643541536775188273729102808551521130087338519409278475695499152947782427481643007476170587938899002524050004508719643067219903798779809091859846075882030525366017247477164326915156826231780442611505983747164743759187868904625235426037013668120132576788593472285132393180656693997634563378563291736024194549772441701264639928686845964389731577335144382861646798183489083186512561489409259194046169118747668900535605341703764898971246446461785683974867523104858264894695585804089235422301898430006346628138061964820176321639303818886330991816217966775924339703971259926423819796023935260456929189541376355070700072954441803036762160486289230931859043724378706443047003735660027914971650106851782782887237189020727963870286186779264623735805513071199584903727970255455102810623738559324506304687823164023375406723064990884585767108008451330654836827533347340273847337355911368802753133818184603332974511079246319283293580772445163339022968186497973329070030018914490307887886651171191985668038213075886016150747230129972483757081106222619810876025680270542480611068033198464040864201324391141981044237426346749803616881896553638378221482031081936864161805651418972645666837757891255238513808118283735026021061859083144431692302422409097222761133287014063140431304587978920115360119778261209867273998526154850175502152601519771067044446403086420783928149826947123925885684143702940338709720564743594436761567367571334198090921781265890348674925448092118583084116842489277472801999868365230528400246675710885544303644670740741274896284471850040059764083506756162837005171383130876095097791864422297155212058514921321859155005603952221328298975167082192283545005204887188677486378384015211572210462129630344352830583063981393020676167748126023270516002975425879998227338631207278439034463848462277991171620077742434158053209051823692877003951517910097621987367462289927241479758868817110838375775737701275276923886584861603004701464322833841452167318649941585293807982586920593090514394063119069124554884268204586051753532719182703565963790117284222471792681251337365591214761154227821244673034167787289441581602723807686710352044170261184622198218950400662148279880612200061211718952601868988953533365129360981706544487175863221055820045790075154011213178038086734907370707960335343527143040417857421318430817651896175257924069854725882202785373389163336778481843794911496039950926327316500053559182776863671785036487457113288202588010357057619773138562944655168844286368644392751838714203527452477630683174288951885084152958667970454479401021011720000000942128105478309918226011945391058572970330954886342050559156773721253512266447394602664021723318347310041929668440359041773318489252677024146018410231561817568414157854031984179939654192215048279353691050771181080754174691803287401376599665896884431141517627001209850481}
23173  38961172945782082426056917717554688658262376837515041081069307679918834121755: {23173,185336,208503,764247,1134791,1621130,1945356,2315900,2779080,2964352,3126465,3334896,3675603,3726023,3751758,4279235,4836887,4920087,5114603,5135082,5322890,5748663,6162627,6387468,7403223,7816323,7887671,8655482,8720387,9054327,10108247,10290387,10833431,11189435,11524503,12312076,12567155,12767111,12922403,13427322,13577043,14631035,14757578,15080586,15210986,15476330,15624183,15644668,16005155,16032963,16251251,16628423,17271191,17377835,17557242,17588680,17592491,18063635,18073623,18088442,18234923,18238730,18317507,18481107,18571596,19206186,19787265,20077708,20108883,20481671,20853402,21106416,21327447,21676362,21729980,21733203,21868682,21886476,21909563,22032136,22084811,22405271,23704187,23744718,23754890,24006731,24163203,24567447,24642722,24673130,24786153,25132130,26049890,26075976,26125847,26182263,26246423,26475592,26693147,26820122,27391107,27640547,27844523,28505868,28598007,28682440,29081186,29082443,29259530,29335473,29389751,29401527,29507325,29607756,29785041,30158556,30204183,30276467,30605187,30790967,30873323,30998858,31036523,31259868,31406547,31474480,31549730,31622531,32007530,32013347,32066723,32267745,32606967,32611082,32964842,33401164,33406167,34295330,34418928,34539386,35091635,35111436,35408790,35433866,35814023,36382967,36768011,37077722,37494890,37564744,37769376,37786323,37859676,38024291,38221271,38314460,38409036,38721294,39218387,39777890,40114778,40365803,40560087,41154396,41598947,41703068,41920007,42004545,42109962,42260337,42490548,42494051,42618602,42687863,43646171,44165786,44226273,44238707,44337890,44504247,44572307,44804848,44993868,45173018,45977352,46521386,46587260,46949123,47252307,47733468,48841307,49123991,49216442,49341980,49469027,49719611,49917803,50070923,50266007,50309925,50405454,50779271,51159747,51162890,51237098,51431243,51724521,51938643,52247162,52525730,52592186,52650325,53205468,53663920,54266762,54389171,55045587,55329352,55432983,55564151,55665736,55741931,55904712,56481287,56559155,57287042,57313991,57608906,57700571,57752823,57763787,58531127,58717658,58808243,59210376,59295063,59330807,59400107,59770504,59913251,59965004,60371910,60453911,60547682,60763571,60833847,61081223,61395468,61429802,61676156,61868435,62021771,62245521,62272538,62293163,62370385,62623953,62752467,62892801,63030876,63093980,63180390,63275051,63603227,63713603,64396704,64782122,65047683,65106362,65995607,66369578,66444503,66494363,66502156,66611673,67241817,67335123,67392416,67395611,67813835,67870986,68823467,69015587,69789155,69840071,70177130,70357756,70372947,70398218,70399127,70795763,71135642,71215547,71399531,71529890,72123788,72141371,72264567,72375923,72446292,72612791,72642243,72646091,72893786,73019703,73563527,73566167,74203031,74242122,74549747,74552325,74668667,74844462,75214750,75341603,75430058,75712776,75816468,75863882,76041986,77312711,77999066,78429962,78655683,78906184,79004147,79094843,79164002,79452362,79522480,79631330,80296586,80670587,81376602,81404762,81573035,81660578,81861203,81877130,82000802,82419386,82686971,82757847,82896023,82967747,83027723,83248796,83332727,83746986,83872083,84164483,84197987,84212556,84321482,84430298,84476282,84613827,84771611,85176873,85724823,85835868,86362730,86464407,86608151,87258890,87756860,87782145,88069235,88177907,88523522,88602530,88769457,88954216,89100550,89414103,89462790,90257700,90392930,90523682,91171811,91206323,91978487,92867891,93293402,93447363,93447671,93634288,93700523,93816842,94379656,94403546,94623431,94982327,95003080,95006378,95426976,95557596,96274880,96472667,96727863,97251467,97290508,97389131,97746035,97887642,98252556,98905143,98929466,99119927,99237587,99430586,99501962,99518685,99521642,99771530,99790571,99880076,...,25674984570667699384135749199772486418930031775075238039524813104535065424426040774284881681106570845547443552997155834996345839327710487446326549614826938101850003995409132757699858763067997909732153768516259005110313451345513648382703693725481121187304525406355726626913442881760914230496404264881414725634768802512507826330572692917628150255460234813397858428772719593889887119814614952113915272190087226948024444276508318936787698444885621085525250795162028507132390420454115316561703685595357103392708148206021581390160575182167423174930408802523655760770203356497544222687517305353178363181354336696139186107632678145073262615677144088753636339275506903584709592937542812496868076748220162728609438637900251723621684466001271699565828467239911886709286005862064928936332346034585985650494813769705443687005726286315181865422248817361326200948213924521986637478191388715700251031638803744735361506783118025879037967593998870597043236642190676634894117251865336698733339344959524089626538398373078789146461434509374033821356329969552435886875768309040590148674644996219658345583825206166980568049351557493510102384791296380176524240875591996846084504751055648032259399696588935019519904915794619186308769780192510482195730911318777582016748652545678925394892158330225200714140455605019865294995261949047578633156697473144353192927447738785647229735864573341795504184082619760235095519071758515107989088290622367899119605295013235231759728031913680609238919388501806760933430605922404049016213981718974575812058299171608590729338314213370553295533475802377043849649585360970618493714915705686164981074017428266113204970627007273470414164984745766008406250430885364500542297419987846114356144011268440873115770044463120365129783141215158403670845090912804443966014772328425711058107696593551118697290915330631105426706691885987077183848868228255980890717617434514688200996306839963311676108141630159747834700907027389974148090710931285387818935099188189308058983235128999738155842528738184504295309374775915818882407535225296860889117010521673651351744157711646701361415812110859242256403229878796297014844382685417520575072783971893487146826371014946489698664701539800234002870135359694756059261870781894378570866435929498567847578858270587118279627419658125915682089823428445597454562375021187131566567264122824777445489123319036630402666491153640704533662234281180725738192894320988366528379295800053413018778009008217116006895177507834793463722485896396206949411353228429145540007471936295104398633556109589711393340273182918236648504512020282096280616172840459137107444085308524027568223664168031027354670633901173330969784841609704585379285131283037321562160103656578877404278735764923836005268690546796829316489949719902988639678491756147784501034316935033702565182113148804006268619097111788602889758199922113725077310115894124120685858750825425499406512357606114735671376958910271421285053489712296629056908335116487454953014872303761659564045557049719255442136965076915613802725560348246162930958600534216197706507482933414948958603469158651938044486839147975608725982901150961407760061053433538681617570717448979876494277280447124702857387223809895091241090202528233677232093139634509603713831185551115704642458393215328053267901769755333404745577035818229046715316609484384270117347142743493030851417259540225125715158192523669118285604703269970174244232385269180112203944890627272639201361348960000001256170807304413224301349260521411430627107939848456067412209031628338016355263192803552028964424463080055906224587145389031091319003569365528024546975415756757885543805375978906586205589620064372471588067694908107672232922404383201835466221195845908188690169334946467308}
23174  39100541509714632249046803065259771372556700998186765773497767381187474949413: {162169,231670,278004,602134,717433,994633,1018996,1342294,1896742,2376313,2431695,2593808,2894875,2918034,3372454,3473850,3613669,3705440,3750793,4161733,4168620,4446528,4660342,4845193,4900804,5002344,5027734,5211334,5627637,6036742,6560116,6846776,6952342,7155493,7664884,7702623,7984335,8216836,8231494,8370169,8516624,9042469,9143254,9581202,9689542,9846853,9870964,10381669,10421764,10507894,11506342,11846473,12072436,12412342,12983223,13566373,13698169,13720516,14219542,14224633,14309734,14487433,15143173,15366004,15390095,15535753,16318969,16449253,17725174,17903096,18102724,18468114,19156342,19278119,19555835,19602742,19682953,19691974,20107448,20140983,20832244,21028534,21377284,21985850,22136367,22618213,22620879,22805014,22816479,23166143,23214495,23251273,23409656,23467002,23503993,23602342,24098164,24641476,24762128,24763273,25097135,25608248,25765513,26335863,26383020,26638693,26811844,27011833,27042454,27130342,27132663,27136069,27162475,27358095,27540170,27804536,27857394,28141888,28436596,28446742,28497913,28809279,28884742,28901816,28977604,29181968,29759542,30116562,30951673,31068742,31280103,31438969,31659624,32217604,32287414,32514543,32594970,32756596,32803023,32829714,32869151,33048204,33094490,33155974,34458469,34767968,34909684,35617077,35632335,35653669,35853050,36367333,36521476,36786454,36964083,37009695,37044694,37314853,37698195,38007824,38022469,38130676,38140153,39074835,39113964,39202036,39204242,39276742,39343100,39477008,39663493,39713388,40211408,40230183,40272244,40806916,41679824,41751455,41875396,42098569,42558793,42673669,42758802,43023660,43361413,43475956,43621779,43623574,43889295,44411634,44501893,44541556,44894134,45069433,45147814,45237834,45409093,45891904,45992374,46414054,46498287,46815248,46889802,46919542,46955930,47003734,47211720,47324595,47768569,47893075,48011295,48264694,48413183,48707519,48916623,48935734,49447263,50101746,50359168,50381764,50479568,51084169,51212048,51442995,51628392,51809079,51942742,52128835,52299191,52667154,53113185,53150799,53935894,54080116,54872528,55616583,55829833,56002294,56006060,56146616,56242335,56347116,56466169,56496742,56654064,56789514,56908342,57471690,57613554,57626053,57730342,57940873,58081941,58234075,58568569,58968364,59338996,59666835,59860054,59991824,60172167,60539173,60920854,61303136,61565893,61668169,61677475,61731594,62303974,62554602,62846927,63003076,63164943,63294793,63358534,63597733,63644624,63735822,63844342,63927903,64571974,64975654,65459542,65700169,65799493,65942854,66097033,66248679,66455363,66506835,66591493,66788773,67079900,67207272,67389334,67490802,67759527,67870342,68161669,68212996,68350774,68966028,69042911,69161690,69251524,69389734,69549334,69582170,69782079,69880890,70002313,70940624,70960633,71151433,71600202,71627173,71777014,71911753,72006469,72478969,72573253,73394116,73512133,73824663,73910644,74012970,74539616,74713130,74956255,75095014,75276169,75608181,75827833,76194169,76508374,76744335,76855647,77003764,77095195,77834939,78098533,78150742,78370743,78788595,78867475,78888279,78947168,79060084,79705573,79808202,80407174,80495880,80588293,81111796,81400143,81860624,81930002,82582199,82804342,82994028,83127695,83498604,83669956,83791753,83857068,83881894,84041168,84217093,84240520,84419494,84803014,85314553,85733413,85798294,85862272,85930563,86150473,86233669,86413359,86730244,87144073,87856774,87947195,88076487,88815564,88919542,88995334,89019493,89346551,89655756,89780164,89947506,90054742,90154735,90222073,90301669,90494648,90507814,90557865,90777733,90809542,90821523,91878469,92093202,92144703,92345893,92514234,92764534,92884106,93408807,93426469,93588026,93830596,93887494,94186342,94546314,94640970,94770585,94857814,95006854,95020873,95311391,95320969,95751094,96140293,96352756,96436069,96595056,96856324,97173183,97359604,97659543,98632730,98689273,98989496,99080374,99401353,99403100,99554367,99668854,99753234,99792616,...,38512476856001549076203623799658729628395047662612857059287219656802598136639061161427322521659856268321165329495733752494518758991565731169489824422240407152775005993113699136549788144601996864598230652774388507665470177018270472574055540588221681780956788109533589940370164322641371345744606397322122088452153203768761739495859039376442225383190352220096787643159079390834830679721922428170872908285130840422036666414762478405181547667328431628287876192743042760698585630681172974842555528393035655089062222309032372085240862773251134762395613203785483641155305034746316334031275958029767544772031505044208779161449017217609893923515716133130454508913260355377064389406314218745302115122330244092914157956850377585432526699001907549348742700859867830063929008793097393404498519051878978475742220654558165530508589429472772798133373226041989301422320886782979956217287083073550376547458205617103042260174677038818556951390998305895564854963286014952341175877798005048100009017439286134439807597559618183719692151764061050732034494954328653830313652463560885223011967494329487518375737809250470852074027336240265153577186944570264786361313387995269126757126583472048389099544883402529279857373691928779463154670288765723293596366978166373025122978818518388092338237495337801071210683407529797942492892923571367949735046209716529789391171608178470844603796860012693256276123929640352643278607637772661983632435933551848679407942519852847639592047870520913858379082752710141400145908883606073524320972578461863718087448757412886094007471320055829943300213703565565774474378041455927740572373558529247471611026142399169807455940510910205621247477118649012609375646328046750813446129981769171534216016902661309673655066694680547694674711822737605506267636369206665949022158492638566587161544890326678045936372995946658140060037828980615775773302342383971336076426151772032301494460259944967514162212445239621752051360541084961222136066396928081728402648782283962088474852693499607233763793107276756442964062163873728323611302837945291333675515782510477027616236567470052042123718166288863384604844818194445522266574028126280862609175957840230720239556522419734547997052309700351004305203039542134088892806172841567856299653894247851771368287405880677419441129487188873523134735142668396181843562531780697349850896184237166168233684978554945603999736730461056800493351421771088607289341481482549792568943700080119528167013512325674010342766261752190195583728844594310424117029842643718310011207904442656597950334164384567090010409774377354972756768030423144420924259260688705661166127962786041352335496252046541032005950851759996454677262414556878068927696924555982343240155484868316106418103647385754007903035820195243974734924579854482959517737634221676751551475402550553847773169723206009402928645667682904334637299883170587615965173841186181028788126238138249109768536409172103507065438365407131927580234568444943585362502674731182429522308455642489346068335574578883163205447615373420704088340522369244396437900801324296559761224400122423437905203737977907066730258721963413088974351726442111640091580150308022426356076173469814741415920670687054286080835714842636861635303792350515848139709451764405570746778326673556963687589822992079901852654633000107118365553727343570072974914226576405176020714115239546277125889310337688572737288785503677428407054904955261366348577903770168305917335940908958802042023440000001884256210956619836452023890782117145940661909772684101118313547442507024532894789205328043446636694620083859336880718083546636978505354048292036820463123635136828315708063968359879308384430096558707382101542362161508349383606574802753199331793768862283035254002419700962}
23175  39240405336393486721674344878766333613265412633577451995871567702009009181421: {46346,347505,370672,417006,903201,1273745,1528494,2013441,2269582,2845113,3242260,3890712,4377051,4631800,5058681,5210775,5558160,5716321,5928704,5990929,6126005,6252930,6669792,6990513,7351206,7452046,7503516,7541601,7817001,8200145,8558470,9055113,9321793,9581105,9673774,9840174,10229206,10270164,10271045,10428513,10645780,11497326,11951489,12325254,12338705,12347241,12774936,13027205,13714881,14371803,14534313,14806446,15090545,15632646,15665209,15761841,15775342,16112549,17150645,17259513,17310964,17440774,17594017,18108654,18618513,19207505,19441397,20216494,20483449,20580774,21072953,21329313,21464601,21666862,22378870,22407217,22628405,23049006,23168297,24328969,24624152,25134310,25289089,25534222,25622993,25844806,26040305,26587761,26721605,26854644,27138089,27154086,27702171,27866009,28157681,28734513,29262070,29404113,29515156,29537961,30122705,30161172,30421972,30801845,30876001,30952660,31248366,31289336,31483937,31542801,32010310,32065926,32502502,32666101,32978775,33256846,33514805,34207521,34542382,34701689,34755670,35114484,35177360,35184982,35200503,35403513,35545745,36127270,36147246,36176884,36222005,36469846,36477460,36635014,36962214,37143192,37691273,38412372,39501857,39574530,39588869,40155416,40217766,40272005,40563681,40695513,40945745,40963342,41310255,41706804,41786091,42212832,42497737,42654894,42670113,43327113,43352724,43459960,43466406,43637105,43737364,43772952,43819126,44064272,44169622,44488649,44639313,44810542,45114721,45170593,45174843,45651845,46603113,47209961,47408374,47489436,47509780,47663345,48013462,48266273,48326406,48431121,48892455,49002545,49128289,49134894,49178875,49244571,49285444,49346260,49572306,49641735,49733961,50155013,50264260,50340305,50985929,51008645,51281129,52099780,52151952,52209673,52251694,52344245,52364526,52492846,52951184,53386294,53615909,53640244,53779575,54344945,54782214,55179681,55281094,55512641,55567041,55568977,55676945,55689046,57011736,57193009,57196014,57273689,57364880,58162372,58164886,58519060,58670946,58779502,58803054,58806363,58915113,59014650,59215512,59405281,59510117,59570082,59878361,60317112,60408366,60515233,60552934,60787897,61210374,61581934,61746646,61997716,62073046,62519736,62813094,62948960,62977205,63099460,63245062,64015060,64026694,64133446,64138203,64535490,64758089,65213934,65222164,65435361,65929684,66252593,66617451,66802328,66812334,67136393,67341201,67401457,67600145,67721721,67856751,68590660,68837856,68988561,69078772,69362273,69621081,70007575,70183270,70222872,70334703,70379313,70433895,70505601,70817580,70867732,71209321,71490017,71628046,71811493,72118001,72382201,72397041,72765934,73403601,73536022,73569913,73710455,73713233,74155444,74173745,74989780,75129488,75152619,75538752,75572646,75719352,76048582,76442542,76628920,76818072,76896389,76941209,77442588,77914113,78180113,78311041,78436774,78753845,78831281,79000731,79182817,79555780,80229556,80261417,80731606,80903841,81120174,82308792,82694149,83197894,83406136,83840014,83849875,84003441,84009090,84205321,84219924,84520674,84745113,84981096,84988102,85184271,85237204,85266245,85362513,85375726,85780213,86207535,86420331,86564405,86595513,86615809,87092489,87292342,87318539,88331572,88452546,88477414,88575113,88675780,89008494,89144614,89609696,89790081,89987736,90346036,90617929,91381281,91742645,91954704,92388305,92597391,92875957,93042772,93174520,93455961,93831903,93898246,94504614,94579841,94939369,95037801,95466936,95603733,95766513,96254705,96372137,96857961,97463481,97682614,97704817,97744169,98189313,98247982,98432884,98683960,98825105,98914281,98938054,99439222,99835606,...,57768715284002323614305435699488094442592571493919285588930829485203897204958591742140983782489784402481747994243600628741778138487348596754234736633360610729162508989670548704824682216902995296897345979161582761498205265527405708861083310882332522671435182164300384910555246483962057018616909595983183132678229805653142609243788559064663338074785528330145181464738619086252246019582883642256309362427696260633054999622143717607772321500992647442431814289114564141047878446021759462263833292589553482633593333463548558127861294159876702143593419805678225461732957552119474501046913937044651317158047257566313168742173525826414840885273574199695681763369890533065596584109471328117953172683495366139371236935275566378148790048502861324023114051289801745095893513189646090106747778577818467713613330981837248295762884144209159197200059839062983952133481330174469934325930624610325564821187308425654563390262015558227835427086497458843347282444929022428511763816697007572150013526158929201659711396339427275579538227646091576098051742431492980745470478695341327834517951241494231277563606713875706278111041004360397730365780416855397179541970081992903690135689875208072583649317325103793919786060537893169194732005433148584940394550467249559537684468227777582138507356243006701606816025111294696913739339385357051924602569314574794684086757412267706266905695290019039884414185894460528964917911456658992975448653900327773019111913779779271459388071805781370787568624129065212100218863325409110286481458867692795577131173136119329141011206980083744914950320555348348661711567062183891610858560337793871207416539213598754711183910766365308431871215677973518914063469492070126220169194972653757301324025353991964510482600042020821542012067734106408259401454553809998923533237738957849880742317335490017068904559493919987210090056743470923663659953513575957004114639227658048452241690389917451271243318667859432628077040811627441833204099595392122592603973173425943132712279040249410850645689660915134664446093245810592485416954256917937000513273673765715541424354851205078063185577249433295076907267227291668283399861042189421293913763936760346080359334783629601821995578464550526506457804559313201133339209259262351784449480841371777657052431108821016129161694230783310284702102714002594272765343797671046024776344276355749252350527467832418405999605095691585200740027132656632910934012222223824688853415550120179292250520268488511015514149392628285293375593266891465636175544763965577465016811856663984896925501246576850635015614661566032459135152045634716631386388891033058491749191944179062028503244378069811548008926277639994682015893621835317103391545386833973514860233227302474159627155471078631011854553730292865962102386869781724439276606451332515127327213103825830771659754584809014104392968501524356501955949824755881423947760761779271543182189357207373664652804613758155260598157548110697891370351852667415378043754012096773644283462683463734019102503361868324744808171423060131056132510783553866594656851201986444839641836600183635156857805606966860600095388082945119633461527589663167460137370225462033639534114260204722112123881006030581429121253572263955292452955688525773772209564177646608356120167490010335445531384734488119852778981949500160677548330591015355109462371339864607764031071172859319415688833965506532859105933178255516142610582357432892049522866855655252458876003911363438203063035160000002826384316434929754678035836173175718910992864659026151677470321163760536799342183807992065169955041930125789005321077125319955467758031072438055230694685452705242473562095952539818962576645144838061073152313543242262524075409862204129798997690653293424552881003629551443}
23176  39380766174223179622853984049231407310274972147692042208619127075558812894028: {69519,324338,393703,463340,556008,625509,1204268,1363903,1434866,1989266,2037992,2054743,2292741,2606119,2684588,3156343,3404373,3431023,3793484,3979519,4052825,4752626,4863390,5187616,5345719,5481943,5789750,5836068,6161983,6744908,6947700,7227338,7246303,7410880,7501586,8191303,8323466,8337240,8864143,8893056,9320684,9379395,9690386,9801608,10004688,10055468,10204423,10422668,10605103,10871863,11026809,11178069,11255274,12073484,12598783,12731119,12837705,13120232,13307225,13693552,13904684,14310986,14510661,14760261,15329768,15343809,15405246,15968670,16433672,16462988,16667719,16740338,17033248,17245989,18084938,18094903,18286508,18482623,18487881,19162404,19379084,19693706,19741928,20667463,20763338,20843528,21015788,21050863,21546133,21638705,21815719,22209669,22577983,23012684,23448969,23663013,23692946,24144872,24220663,24346519,24472303,24824684,25601119,25966446,26161161,27132746,27162981,27378169,27396338,27441032,28088719,28439084,28449266,28619468,28974866,29935519,30286346,30324741,30669703,30732008,30780190,30803333,30871161,31071506,31279543,32372719,32500293,32637938,32898506,33568305,33700903,34573509,34661383,34781119,34900783,35135989,35450348,35806192,36205448,36687103,36893945,36936228,37701465,38027465,38301333,38312684,38556238,38690825,38767209,39111670,39205484,39365906,39383948,40214896,40281966,40559983,40731129,41371423,41664488,42057068,42294463,42754568,42869023,43670383,43893105,43971700,44012743,44272734,45221105,45236426,45241758,45262519,45596825,45610028,45632958,46332286,46391119,46428990,46502546,46819312,46840543,46872549,46934004,47007986,47204684,47512519,47959063,48015465,48098889,48196328,48753753,49282952,49524256,49526546,49885269,50174503,50194270,50284519,50943103,51216496,51531026,51813573,52133505,52578223,52671726,52766040,52777473,53277386,53623688,54023666,54084908,54089719,54190905,54220869,54260684,54265326,54272138,54324950,54671705,54704769,54716190,54952521,55080340,55160719,55267423,55443321,55609072,55714788,56283776,56648023,56873192,56893484,56995826,57386383,57618558,57769484,57803632,57806719,57955208,58363936,58435063,58452037,59268823,59361795,59387225,59519084,59787583,60233124,60326649,60510823,61445013,61606805,61682825,61903346,62137484,62560206,62830325,62877938,63319248,63973519,63982341,64373573,64435208,64574828,64876183,65029086,65124725,65189940,65199609,65513192,65606046,65659428,65728689,65738302,65971519,66096408,66188980,66254433,66311948,67050305,67215813,67451119,68038423,68331103,68916938,69535936,69819368,70361719,70744903,70840519,71112561,71234154,71264670,71307338,71706100,72020193,72360583,72489609,72702965,72734666,72980369,73042952,73148825,73533449,73572908,73582063,73675519,73702341,73928166,74019390,74089388,74273641,74358459,74629706,75396390,75437503,76015648,76044938,76261352,76280306,76901119,76991983,77497145,78149670,78227928,78377541,78404072,78408484,78546789,78553484,78686200,78739269,78794143,78874325,78954016,79326986,79426776,79950103,80018825,80079441,80126863,80422816,80460366,80544488,80567503,81527705,81613832,81704743,82173321,82225519,82412105,82921641,83359648,83430583,83502910,83516119,83533569,83750792,84197138,85117586,85211719,85347338,85517604,85738325,85794021,85965343,86047320,86348465,86464519,86722826,86951912,87243558,87247148,87247329,87290719,87778590,88006419,88169253,88204581,88521975,88584665,88823268,89003786,89083112,89355123,89405143,89788268,89806183,90125719,90138866,90295628,90475668,90612549,90818186,90829401,91783808,91815561,91984748,92018743,92174623,92372901,92619969,92694305,92828108,92996574,93109569,93334543,93630496,93737225,93779604,93839084,93911860,93946543,94007468,94219641,94402519,94423440,94649190,94867593,95537138,95786150,95829343,95903719,96022590,96040041,96200169,96529388,96803235,96826366,97303183,97415038,97448983,97820901,97833246,97871468,98894526,99104983,99444725,99530719,...,77024953712003098152407247599317459256790095325225714118574439313605196273278122322854645043319712536642330658991467504989037517983131462338979648844480814305550011986227398273099576289203993729196461305548777015330940354036540945148111081176443363561913576219067179880740328645282742691489212794644244176904306407537523478991718078752884450766380704440193575286318158781669661359443844856341745816570261680844073332829524956810363095334656863256575752385486085521397171261362345949685111056786071310178124444618064744170481725546502269524791226407570967282310610069492632668062551916059535089544063010088417558322898034435219787847031432266260909017826520710754128778812628437490604230244660488185828315913700755170865053398003815098697485401719735660127858017586194786808997038103757956951484441309116331061017178858945545596266746452083978602844641773565959912434574166147100753094916411234206084520349354077637113902781996611791129709926572029904682351755596010096200018034878572268879615195119236367439384303528122101464068989908657307660627304927121770446023934988658975036751475618500941704148054672480530307154373889140529572722626775990538253514253166944096778199089766805058559714747383857558926309340577531446587192733956332746050245957637036776184676474990675602142421366815059595884985785847142735899470092419433059578782343216356941689207593720025386512552247859280705286557215275545323967264871867103697358815885039705695279184095741041827716758165505420282800291817767212147048641945156923727436174897514825772188014942640111659886600427407131131548948756082911855481144747117058494943222052284798339614911881021820411242494954237298025218751292656093501626892259963538343068432033805322619347310133389361095389349423645475211012535272738413331898044316985277133174323089780653356091872745991893316280120075657961231551546604684767942672152852303544064602988920519889935028324424890479243504102721082169922444272132793856163456805297564567924176949705386999214467527586214553512885928124327747456647222605675890582667351031565020954055232473134940104084247436332577726769209689636388891044533148056252561725218351915680461440479113044839469095994104619400702008610406079084268177785612345683135712599307788495703542736574811761354838882258974377747046269470285336792363687125063561394699701792368474332336467369957109891207999473460922113600986702843542177214578682962965099585137887400160239056334027024651348020685532523504380391167457689188620848234059685287436620022415808885313195900668328769134180020819548754709945513536060846288841848518521377411322332255925572082704670992504093082064011901703519992909354524829113756137855393849111964686480310969736632212836207294771508015806071640390487949469849159708965919035475268443353503102950805101107695546339446412018805857291335365808669274599766341175231930347682372362057576252476276498219537072818344207014130876730814263855160469136889887170725005349462364859044616911284978692136671149157766326410895230746841408176681044738488792875801602648593119522448800244846875810407475955814133460517443926826177948703452884223280183160300616044852712152346939629482831841341374108572161671429685273723270607584701031696279418903528811141493556653347113927375179645984159803705309266000214236731107454687140145949828453152810352041428230479092554251778620675377145474577571007354856814109809910522732697155807540336611834671881817917604084046880000003768512421913239672904047781564234291881323819545368202236627094885014049065789578410656086893273389240167718673761436167093273957010708096584073640926247270273656631416127936719758616768860193117414764203084724323016698767213149605506398663587537724566070508004839401924}
23177  39521625777739947667675890980950937710583425441356359394557819408897836505494: {92692,486507,579175,695010,741344,834012,1505335,1783243,1806402,2152299,2547490,2983899,3056988,3355735,4026882,4539164,4741855,5690226,5855179,6484520,6688327,7128939,7295085,7781424,8431135,8576407,8684625,8754102,9263600,10117362,10421550,10841007,11116320,11252379,11403583,11432642,11480203,11650855,11857408,11981858,12236299,12252010,12485199,12505860,12569335,13028335,13339584,13413547,13981026,14124487,14379463,14535579,14702412,14904092,15007032,15083202,15091855,15634002,16400290,16882911,16898527,17023963,17116940,17274187,17380855,18008143,18110226,18238087,18643586,19162210,19347548,19672567,19680348,20062603,20458412,20540328,20542090,20578735,20782183,20857026,21126763,21291560,21466479,22858135,22994652,23107869,23902978,23953005,23953663,24010903,24223855,24650508,24677410,24694482,24904399,25110507,25549872,25893979,26054410,26130379,26269735,26890507,27127407,27140443,27429762,27645343,28650967,28654879,28743606,28765855,29068626,29540559,29612892,30181090,30281719,30997783,31030855,31144363,31145007,31265292,31330418,31523682,31550684,31679767,32072287,32185483,32225098,33655243,34301290,34519026,34621928,34704703,34881548,34906423,35041183,35188034,35208283,35539419,35548855,35577067,35774335,36217308,36456427,37237026,37410247,37724863,38030887,38415010,38752999,38882794,38949669,39592303,40372807,40432988,40699119,40840903,40966898,41011087,41094507,41161548,41244379,41933407,42145906,42171787,42226123,42658626,42673899,42929202,43122583,43333724,43462299,43755679,44042539,44246383,44312935,44757740,44814434,44846383,45256810,45273607,45429519,46098012,46170285,46336594,46607259,46658827,46920727,47890855,48657938,48771679,48956907,49006855,49229935,49248304,49347759,49764043,50268620,50385823,50578178,50710807,51068444,51245986,51285583,51440167,51689612,52080610,52571335,52601599,53175522,53443210,53552119,53709288,54276178,54308172,54398623,54964625,55404342,55732018,56279179,56315362,56380807,57012535,57041959,57314203,57324043,57469026,57778303,57834357,58286863,58524140,58667505,58808226,59005855,59030312,59048859,59075922,59341099,59515279,59883559,59923663,60245410,60322344,60422949,60843944,61091947,61395007,61603690,61752002,61905320,62496732,62578672,62967874,63085602,63614263,63912583,63975883,64020620,64131852,64806439,65005004,65277127,65332202,65957550,66409101,66513692,66728683,67029610,67261867,67606135,67687087,67825855,67854639,67862637,68415042,68449437,68603563,68850425,69027559,69084764,69403378,69498429,69511340,69643485,69753819,70228968,70354720,70369964,70401006,70411339,70476427,70511979,70807026,70808047,71091490,71116855,71412103,71496223,72211855,72254540,72294492,72353768,72444010,72526567,72625387,72826279,72939692,72954920,73270028,73281943,73924428,74286384,74289819,74398855,74562679,74681623,75291405,75382546,76082923,76420363,76532287,76824744,76903087,76947883,77194843,77296539,77671855,77677063,77947723,78298519,78449359,78682879,79003714,79007589,79108567,79149060,79177738,79889419,79916079,80268379,80310832,80435532,80544010,80718535,81035499,81127362,81391026,81397989,81408207,81487425,81875407,81891490,81926684,82074285,82620510,82736225,82889935,82982143,83413608,83572182,84425664,84786343,84995474,85309788,85340226,85493739,85943023,86096743,86427837,86654226,86705448,86748439,86919920,86932812,86954167,87115639,87274210,87441583,87474728,87545904,87594463,87638252,88128544,88168087,88339244,88977298,89278626,89621084,89632625,90064843,90229442,90341186,90349686,91303690,91422703,91626103,91966135,92394679,92611735,92855019,93128023,93206226,93840309,94316907,94419922,94640203,94816748,94978872,94999003,95019560,95326690,95636599,95984779,96026924,96275887,96380503,96532546,96652812,96862242,97462783,97543629,97784910,98005090,98010605,98191855,98256578,98269788,98357750,98409069,98489142,98570888,98607453,98692520,99144612,99283470,99432223,99467922,...,115537430568004647228610871398976188885185142987838571177861658970407794409917183484281967564979568804963495988487201257483556276974697193508469473266721221458325017979341097409649364433805990593794691958323165522996410531054811417722166621764665045342870364328600769821110492967924114037233819191966366265356459611306285218487577118129326676149571056660290362929477238172504492039165767284512618724855392521266109999244287435215544643001985294884863628578229128282095756892043518924527666585179106965267186666927097116255722588319753404287186839611356450923465915104238949002093827874089302634316094515132626337484347051652829681770547148399391363526739781066131193168218942656235906345366990732278742473870551132756297580097005722648046228102579603490191787026379292180213495557155636935427226661963674496591525768288418318394400119678125967904266962660348939868651861249220651129642374616851309126780524031116455670854172994917686694564889858044857023527633394015144300027052317858403319422792678854551159076455292183152196103484862985961490940957390682655669035902482988462555127213427751412556222082008720795460731560833710794359083940163985807380271379750416145167298634650207587839572121075786338389464010866297169880789100934499119075368936455555164277014712486013403213632050222589393827478678770714103849205138629149589368173514824535412533811390580038079768828371788921057929835822913317985950897307800655546038223827559558542918776143611562741575137248258130424200437726650818220572962917735385591154262346272238658282022413960167489829900641110696697323423134124367783221717120675587742414833078427197509422367821532730616863742431355947037828126938984140252440338389945307514602648050707983929020965200084041643084024135468212816518802909107619997847066475477915699761484634670980034137809118987839974420180113486941847327319907027151914008229278455316096904483380779834902542486637335718865256154081623254883666408199190784245185207946346851886265424558080498821701291379321830269328892186491621184970833908513835874001026547347531431082848709702410156126371154498866590153814534454583336566799722084378842587827527873520692160718669567259203643991156929101053012915609118626402266678418518524703568898961682743555314104862217642032258323388461566620569404205428005188545530687595342092049552688552711498504701054935664836811999210191383170401480054265313265821868024444447649377706831100240358584501040536977022031028298785256570586751186533782931272351089527931154930033623713327969793851002493153701270031229323132064918270304091269433262772777782066116983498383888358124057006488756139623096017852555279989364031787243670634206783090773667947029720466454604948319254310942157262023709107460585731924204773739563448878553212902665030254654426207651661543319509169618028208785937003048713003911899649511762847895521523558543086364378714414747329305609227516310521196315096221395782740703705334830756087508024193547288566925366927468038205006723736649489616342846120262112265021567107733189313702403972889679283673200367270313715611213933721200190776165890239266923055179326334920274740450924067279068228520409444224247762012061162858242507144527910584905911377051547544419128355293216712240334980020670891062769468976239705557963899000321355096661182030710218924742679729215528062142345718638831377667931013065718211866356511032285221164714865784099045733711310504917752007822726876406126070320000005652768632869859509356071672346351437821985729318052303354940642327521073598684367615984130339910083860251578010642154250639910935516062144876110461389370905410484947124191905079637925153290289676122146304627086484525048150819724408259597995381306586849105762007259102886}
23178  39662985907633092944946347126806551612815360694200506113199814692275269949697: {115865,139038,254837,440021,648676,787406,926680,1042515,1087157,1112016,1251018,1410137,1824821,2238857,2408536,2468597,2709603,2727806,2869732,3156617,3202421,3431321,3477077,3614297,3821235,3842837,3978532,4075984,4109486,4585482,5212238,5369176,5527817,5673955,5890697,6040323,6207797,6312686,6343577,6808746,6862046,7021397,7246937,7586968,7959038,8105650,8371637,8535339,9133577,9312521,9505252,9726780,9982421,10375232,10383497,10472537,10691438,10872821,10963886,11050517,11316821,11538521,11579500,11672136,12246617,12323966,12599897,13131153,13489816,13700597,13895400,14454676,14492606,14577557,14821760,15003172,15176043,15233177,15632325,15930521,16382606,16646932,16674480,17148963,17232521,17621717,17728286,17786112,17837657,17972787,18096521,18139637,18378015,18527321,18630115,18641368,18758790,19380772,19603216,19772117,20009376,20110936,20199797,20408846,20456021,20845336,20971539,21210206,21396175,21743726,22053618,22356138,22510548,22580021,22622297,22624803,22833557,23213321,23451003,23634521,24012917,24146968,24184435,24600435,25197566,25353077,25462238,25573015,25675410,25978457,26103317,26240464,26394377,26614450,26726537,27165339,27387104,27389321,27809368,27965379,28379657,28585397,28621972,28743315,28832021,28996277,29021322,29520522,29692937,30294187,30659536,30687618,30810492,30813135,31038677,31282421,31285539,31525877,31937340,32867344,32925976,33141557,33335438,33480676,33864437,34066496,34104821,34491978,34544777,34704521,34904021,34943897,35660297,35854467,36169876,36189806,36403939,36453257,36573016,36965246,36975762,37016115,37041723,37676021,38029577,38225717,38324808,38499977,38758168,39081615,39086357,39387412,39438355,39483856,39670937,40447577,41027957,41144643,41334926,41413877,41526676,41687056,42031576,42101726,42106517,42336821,42911321,43092266,43102421,43115409,43277410,43601935,43602939,43631438,44054921,44419338,44472437,45155966,45271635,45417737,46025368,46882421,46897938,46995627,47285523,47326026,47385892,47666057,48289744,48337647,48441326,48693038,48944606,49333397,49649368,49664921,50541235,50728757,50948021,51202238,51451935,51651523,51778539,51932892,52322322,52402421,52619477,52782051,53124821,53238451,54167155,54265492,54325962,54524297,54756338,54774197,54792676,54882064,55272821,55855539,55947175,56177438,56477237,56864921,56878168,56898532,57238936,57392021,57622515,57707417,57949732,57952277,58324191,58962521,59101337,59871038,60551177,60572692,60649482,61339406,61373321,61450347,61464016,61560380,61578137,61606666,61742322,62054921,62143012,62559086,62835775,63218859,63309547,63374837,63610457,63711317,63835555,63987939,64214537,64393803,64415321,64612015,64745438,64782677,64916021,65000586,65275876,65797012,66572021,67136610,67221651,67401806,67885215,68240537,68370521,68727317,69147018,69147737,69322766,69504891,69562238,69801566,70176857,70271978,70592597,70900696,71070617,71610197,71612384,71705177,72084377,72210521,72410896,72986907,73027337,73155175,73374206,73589657,73787890,73872456,74829977,75014921,75353237,75402930,75476021,75629321,75867267,75904757,76054930,76077859,76210037,76540387,76602666,76625368,76868979,77030297,77112476,77381650,77534418,77573897,78084917,78120915,78204821,78223340,78410968,78623477,78731812,78767896,79367177,79763283,79988021,80025775,80164757,80164815,80429792,80563932,80576021,80605337,81119966,81256255,81414267,81462258,81742421,82184443,82493717,82742846,82924697,83106513,83142115,83296757,83328976,83598027,84114136,84150197,84291737,84473043,84588926,84912137,85332917,85509136,85738046,85974617,86002421,86203539,86249527,86252297,86355955,86889175,86903167,87135497,87340766,87546677,87786210,87943400,87962455,88025486,88200821,88212339,88545468,88613883,89173397,89253977,89414921,89682521,90318175,90368115,90442210,90454037,90472852,90483516,90525038,90718517,91008521,91174615,91193650,91220056,91265916,91559477,91587535,91664021,91950857,92210777,92405535,92444021,92628003,92664572,92782238,92857980,93005092,93344921,93447257,93638624,93681086,93745098,93868008,93870427,94015972,94409368,94451811,94628403,94715657,95025038,95392277,95840117,95918126,96030930,96197778,96211337,96383957,96392656,96507017,96605321,96874997,97460021,97484297,97507506,97998303,98064521,98208857,98565904,98902421,98936325,99048512,99053092,99140021,99258521,99494921,99636377,99754037,99770538,...,173306145852006970842916307098464283327777714481757856766792488455611691614875775226422951347469353207445243982730801886225334415462045790262704209900081832187487526969011646114474046650708985890692037937484748284494615796582217126583249932646997568014305546492901154731665739451886171055850728787949549398034689416959427827731365677193990014224356584990435544394215857258756738058748650926768928087283088781899164998866431152823316964502977942327295442867343692423143635338065278386791499877768660447900780000390645674383583882479630106430780259417034676385198872656358423503140741811133953951474141772698939506226520577479244522655820722599087045290109671599196789752328413984353859518050486098418113710805826699134446370145508583972069342153869405235287680539568938270320243335733455403140839992945511744887288652432627477591600179517188951856400443990523409802977791873830976694463561925276963690170786046674683506281259492376530041847334787067285535291450091022716450040578476787604979134189018281826738614682938274728294155227294478942236411436086023983503553853724482693832690820141627118834333123013081193191097341250566191538625910245978711070407069625624217750947951975311381759358181613679507584196016299445754821183651401748678613053404683332746415522068729020104820448075333884090741218018156071155773807707943724384052260272236803118800717085870057119653242557683381586894753734369976978926345961700983319057335741339337814378164215417344112362705872387195636300656589976227330859444376603078386731393519408357987423033620940251234744850961666045045985134701186551674832575681013381613622249617640796264133551732299095925295613647033920556742190408476210378660507584917961271903972076061975893531447800126062464626036203202319224778204363661429996770599713216873549642226952006470051206713678481759961630270170230412770990979860540727871012343917682974145356725071169752353813729956003578297884231122434882325499612298786176367777811919520277829398136837120748232551937068982745403993338279737431777456250862770753811001539821021297146624273064553615234189556731748299885230721801681875004850199583126568263881741291810281038241078004350888805465986735393651579519373413677939603400017627777787055353348442524115332971157293326463048387485082692349930854106308142007782818296031393013138074329032829067247757051582403497255217998815287074755602220081397969898732802036666671474066560246650360537876751560805465533046542448177884855880126779800674396908526634291896732395050435569991954690776503739730551905046843984698097377405456136904149894159166673099175475247575832537186085509733134209434644026778832919984046047680865505951310174636160501920544580699681907422478881466413235893035563661190878597886307160609345173317829819353997545381981639311477492314979263754427042313178905504573069505867849474267644271843282285337814629546568071622120993958413841274465781794472644332093674111055558002246134131262036290320932850388050391202057307510085604974234424514269180393168397532350661599783970553605959334518925509800550905470573416820900581800286164248835358900384582768989502380412110676386100918602342780614166336371643018091744287363760716791865877358867065577321316628692532939825068360502470031006336594154203464359558336945848500482032644991773046065328387114019593823292093213518577958247066501896519598577317799534766548427831747072298676148568600566965757376628011734090314609189105480000008479152949304789264034107508519527156732978593977078455032410963491281610398026551423976195509865125790377367015963231375959866403274093217314165692084056358115727420686287857619456887729935434514183219456940629726787572226229586612389396993071959880273658643010888654329}
23179  39804848330766419289497781004328962195373399345504181563670217981336108382784: {185384,208557,810845,973014,1158350,1181109,1390020,1482688,1668024,1876527,2107469,3010670,3566486,3587165,3612804,4091709,4304598,4698029,4973165,5094980,5967798,6113976,6164229,6638597,6711470,6878223,6919757,7475189,7818357,8053764,9078328,9414317,9469029,9483710,10213119,10293069,11380452,11710358,11803589,11881565,11938557,12158475,12190037,12745181,12969040,13376654,14257878,14474375,14590170,15562848,16037157,16311197,16445829,16862270,17152814,17369250,17508204,17597069,18068345,18239669,18485949,18527200,18753965,18886589,20119229,20234724,20808665,20843100,21128597,21682014,21738909,22215437,22232640,22504758,22807166,22865284,22960406,23301710,23710349,23714816,23963716,24225965,24333197,24472598,24504020,24573909,24616757,24970398,25011720,25138670,26056670,26592429,26679168,26771741,26827094,27647741,27962052,28138185,28248974,28758926,28810229,29071158,29404824,29808184,30014064,30166404,30183710,30613269,30881357,31268004,31815309,32001389,32021669,32075069,32188277,32615589,32671769,32800580,33080427,33534207,33765822,33797054,33864857,33913397,34047926,34233880,34548374,34644581,34761710,35211341,35777465,36016286,36220452,36476174,36750509,36777629,37287172,37796349,38037389,38193357,38231237,38324420,38513115,38695096,39013061,39345134,39360696,39739997,39921675,40125206,40272197,40376309,40916824,41014649,41080656,41084180,41157470,41564366,41609789,41714052,41850845,42253526,42505109,42583120,42717209,42932958,43443197,43531983,43657517,44250221,44280783,44583929,45122549,45212345,45716270,45989304,46031427,46215738,46866749,47805956,47906010,47907326,47939237,48021806,48447710,48743357,49234265,49301016,49354820,49388964,49768397,49808798,50003157,50084069,50221014,51099744,51444629,51711257,51737967,51787958,51908345,52093817,52108820,52260758,52539470,52855661,53781014,54254814,54280886,54284709,54612557,54859524,55290686,55447869,55463643,57301934,57309758,57319181,57487212,57531710,57639257,58137252,59069237,59081118,59225784,59232365,60362180,60563438,60607517,60798461,61995566,62002389,62038109,62061710,62288726,62290014,62530584,62660836,63047364,63101368,63152589,63359534,63376037,63619781,64144574,64370966,64450196,64638399,64848089,64916115,65144141,65447157,66144557,66511757,66629007,67047197,67267709,67310486,67413149,67733949,67831865,68283449,68490845,68602580,68609597,68617949,68921909,69038052,69243856,69409406,69763096,69812846,70082366,70346907,70376068,70416566,70814189,70989039,71078838,71097710,71123165,71154134,71548670,72394757,72434616,72437165,72661989,72832601,72912854,72956789,73039557,73416909,73585349,73599869,74474052,74688101,74820494,75449726,75715865,75913529,76061774,76426997,76803357,76830020,76950475,77201597,77505998,77678765,77683829,77765588,77848781,77899338,78324629,78483483,79115429,79184606,79817549,80745614,80865976,81398238,81488943,81594845,81681806,81882509,81933796,82022174,82134507,82189014,82246265,82276157,82323096,82488758,82608197,82989341,83866814,84266157,84291812,84343574,84452246,85317252,85347798,85595789,85795097,85858404,85950509,86104217,86200757,86245166,86667448,86815541,86924598,87511358,87801629,88085078,88492766,88625870,89192057,89515480,89628868,89692766,89806557,90513620,90547214,90633677,90859038,90974223,91128509,91230269,91634057,92009109,92196024,92340570,92409999,92613483,92673188,92757341,92988857,93214518,93317654,93472037,93838629,93841454,93907337,94648589,94956197,95781710,96095669,96284249,96390595,97118157,97184069,97315876,97500879,97543358,97727717,97779175,97913814,98013710,98414765,98459870,98496608,98695518,99528086,99563597,...,231074861136009294457221742797952377770370285975677142355723317940815588819834366968563935129959137609926991976974402514967112553949394387016938946533442442916650035958682194819298728867611981187589383916646331045992821062109622835444333243529330090685740728657201539642220985935848228074467638383932732530712919222612570436975154236258653352299142113320580725858954476345008984078331534569025237449710785042532219998488574870431089286003970589769727257156458256564191513784087037849055333170358213930534373333854194232511445176639506808574373679222712901846931830208477898004187655748178605268632189030265252674968694103305659363541094296798782727053479562132262386336437885312471812690733981464557484947741102265512595160194011445296092456205159206980383574052758584360426991114311273870854453323927348993183051536576836636788800239356251935808533925320697879737303722498441302259284749233702618253561048062232911341708345989835373389129779716089714047055266788030288600054104635716806638845585357709102318152910584366304392206969725971922981881914781365311338071804965976925110254426855502825112444164017441590921463121667421588718167880327971614760542759500832290334597269300415175679144242151572676778928021732594339761578201868998238150737872911110328554029424972026806427264100445178787654957357541428207698410277258299178736347029649070825067622781160076159537656743577842115859671645826635971901794615601311092076447655119117085837552287223125483150274496516260848400875453301636441145925835470771182308524692544477316564044827920334979659801282221393394646846268248735566443434241351175484829666156854395018844735643065461233727484862711894075656253877968280504880676779890615029205296101415967858041930400168083286168048270936425633037605818215239995694132950955831399522969269341960068275618237975679948840360226973883694654639814054303828016458556910632193808966761559669805084973274671437730512308163246509767332816398381568490370415892693703772530849116160997643402582758643660538657784372983242369941667817027671748002053094695062862165697419404820312252742308997733180307629068909166673133599444168757685175655055747041384321437339134518407287982313858202106025831218237252804533356837037049407137797923365487110628209724435284064516646776923133241138808410856010377091061375190684184099105377105422997009402109871329673623998420382766340802960108530626531643736048888895298755413662200480717169002081073954044062056597570513141173502373067565862544702179055862309860067247426655939587702004986307402540062458646264129836540608182538866525545555564132233966996767776716248114012977512279246192035705110559978728063574487341268413566181547335894059440932909209896638508621884314524047418214921171463848409547479126897757106425805330060509308852415303323086639018339236056417571874006097426007823799299023525695791043047117086172728757428829494658611218455032621042392630192442791565481407410669661512175016048387094577133850733854936076410013447473298979232685692240524224530043134215466378627404807945779358567346400734540627431222427867442400381552331780478533846110358652669840549480901848134558136457040818888448495524024122325716485014289055821169811822754103095088838256710586433424480669960041341782125538937952479411115927798000642710193322364061420437849485359458431056124284691437277662755335862026131436423732713022064570442329429731568198091467422621009835504015645453752812252140640000011305537265739719018712143344692702875643971458636104606709881284655042147197368735231968260679820167720503156021284308501279821871032124289752220922778741810820969894248383810159275850306580579352244292609254172969050096301639448816519195990762613173698211524014518205772}
23180  39947214820199742843466773528883768348035437175038583610011182623762444632642: {162211,231730,278076,301171,509674,856291,880042,1297352,1459521,1574812,1737525,1853360,2085030,2174314,2224032,2502036,2514739,2820274,2927731,3202699,3477379,3649642,3751771,4477714,4516005,4817072,4937194,5349729,5419206,5455612,5739464,6313234,6368725,6404842,6456897,6862642,6954154,7228594,7642470,7685674,7943537,7957064,8151968,8218972,8507011,8951697,9044851,9170964,9983299,10067205,10424476,10517971,10738352,11055634,11347910,11781394,12080646,12247699,12415594,12625372,12687154,13617492,13701811,13724092,13833571,14042794,14225565,14228419,14493874,15173936,15918076,16211300,16323331,16453651,16583899,16743274,17070678,17565537,18141259,18267154,18625042,19010504,19453560,19559731,19964842,20064981,20201611,20750464,20766994,20945074,21382876,21386817,21745642,21885255,21927772,21989299,22101034,22370539,22624339,22633642,22877851,23077042,23159000,23257579,23344272,23636659,24015091,24493234,24644371,24647932,24895579,25199794,25293405,25397131,25729221,26053875,26082161,26262306,26979632,27143491,27401194,27790800,28581605,28875739,28909352,28985212,29155114,29643520,29954645,30006344,30104419,30352086,30466354,30630025,30960211,31082179,31264650,31569331,31861042,32523021,32765212,33144619,33293864,33348960,33757137,33858209,33867571,34107979,34210749,34297926,34440609,34465042,34947139,34952565,35243434,35456572,35572224,35663611,35675314,35782771,35802221,35945574,36193042,36279274,36377491,36496219,36708897,36756030,37054642,37260230,37282736,37443451,37455597,37517580,37708005,38150851,38268499,38503579,38761544,39085005,39206432,39544234,39674659,39791371,40018752,40221872,40240641,40399594,40817692,40912042,41000725,41070451,41690672,41943078,42110491,42225691,42373461,42420412,42570859,42685771,42792350,43022837,43138389,43487452,43606737,44107236,44514571,44712276,45021096,45160042,45244594,45249606,45275565,45422059,45667114,45761179,46426642,46549939,46608965,46902006,47111179,47269042,47670619,47893891,47905525,48025834,48293936,48368870,49200870,49338139,50395132,50550691,50648733,50695581,50706154,50924476,51071889,51146030,51208411,51350820,51355225,51822561,51956914,52142565,52206634,52407499,52480928,52788754,53228900,53453074,53813371,54024429,54330678,54350851,54565339,54714261,54774208,54778642,54779539,55213697,55618736,55930758,56164819,56759314,56905699,57170794,57243944,57486630,57643051,57664042,57992554,58042644,58062811,59017701,59041044,59385874,59757445,60187809,60588374,60866059,61042709,61174291,61319072,61375236,61620984,61626270,61686571,61693525,61736205,61890979,62077354,62346549,62400739,62564842,62571078,63051754,63380289,63414859,63717691,63874680,64220971,64399437,64822531,65136025,65734688,65819371,65851952,65918659,66283114,66611659,66670876,66961352,67728874,68132992,68209642,68279971,68574405,68863819,68983956,69089554,69323607,69409042,69808042,69887794,70023739,70216051,70757729,71077891,71320594,71649211,71708934,71859015,71860989,71933899,72028651,72032709,72217939,72339752,72379612,72595651,72671565,72689899,72807878,72906514,73146032,73534891,73930492,73951524,74032230,74083446,74374051,74713197,75299611,75331521,75352042,75452725,75667819,75834017,75851491,76059154,76217971,76451434,76649616,76999954,77516336,77681937,78123091,78163230,78172714,78213019,78326045,78391137,78392659,78661579,78774824,78809205,78876710,78967712,79341874,79730779,80562745,80613859,80671521,80895154,81382221,81421329,82055914,82289286,82669852,82827754,82936029,82962211,83053352,83374112,84063152,84203452,84213034,84329059,84673642,85426051,85753225,85822642,85952901,85964637,86011699,86184532,86204842,86230818,86261611,86297565,86344771,86554820,87172411,87203870,87205878,87254779,87262876,87970085,87992851,88109842,88237579,88400371,88621677,88838676,88944874,89369777,89910197,90251779,90311932,90331411,90456821,90490459,90543270,90835474,90845157,90886819,91044859,91674139,91853201,92050736,92454259,92993349,93073171,93092565,93433089,93435021,93610939,93764842,93795876,93991254,94571046,94652052,94771784,95039301,95332114,96037525,96216861,96246859,96394819,96542491,96556449,96579488,96675294,96882652,97127069,97206985,97386076,97495339,97889212,97931011,98220019,98666794,98937499,99298736,99329842,99435451,99506299,...,346612291704013941685832614196928566655555428963515713533584976911223383229751550452845902694938706414890487965461603772450668830924091580525408419800163664374975053938023292228948093301417971781384075874969496568989231593164434253166499865293995136028611092985802309463331478903772342111701457575899098796069378833918855655462731354387980028448713169980871088788431714517513476117497301853537856174566177563798329997732862305646633929005955884654590885734687384846287270676130556773582999755537320895801560000781291348767167764959260212861560518834069352770397745312716847006281483622267907902948283545397879012453041154958489045311641445198174090580219343198393579504656827968707719036100972196836227421611653398268892740291017167944138684307738810470575361079137876540640486671466910806281679985891023489774577304865254955183200359034377903712800887981046819605955583747661953388927123850553927380341572093349367012562518984753060083694669574134571070582900182045432900081156953575209958268378036563653477229365876549456588310454588957884472822872172047967007107707448965387665381640283254237668666246026162386382194682501132383077251820491957422140814139251248435501895903950622763518716363227359015168392032598891509642367302803497357226106809366665492831044137458040209640896150667768181482436036312142311547615415887448768104520544473606237601434171740114239306485115366763173789507468739953957852691923401966638114671482678675628756328430834688224725411744774391272601313179952454661718888753206156773462787038816715974846067241880502469489701923332090091970269402373103349665151362026763227244499235281592528267103464598191850591227294067841113484380816952420757321015169835922543807944152123951787062895600252124929252072406404638449556408727322859993541199426433747099284453904012940102413427356963519923260540340460825541981959721081455742024687835365948290713450142339504707627459912007156595768462244869764650999224597572352735555623839040555658796273674241496465103874137965490807986676559474863554912501725541507622003079642042594293248546129107230468379113463496599770461443603363750009700399166253136527763482583620562076482156008701777610931973470787303159038746827355879206800035255555574110706696885048230665942314586652926096774970165384699861708212616284015565636592062786026276148658065658134495514103164806994510435997630574149511204440162795939797465604073333342948133120493300721075753503121610931066093084896355769711760253559601348793817053268583793464790100871139983909381553007479461103810093687969396194754810912273808299788318333346198350950495151665074372171019466268418869288053557665839968092095361731011902620349272321003841089161399363814844957762932826471786071127322381757195772614321218690346635659638707995090763963278622954984629958527508854084626357811009146139011735698948535288543686564570675629259093136143244241987916827682548931563588945288664187348222111116004492268262524072580641865700776100782404114615020171209948468849028538360786336795064701323199567941107211918669037851019601101810941146833641801163600572328497670717800769165537979004760824221352772201837204685561228332672743286036183488574727521433583731754717734131154642633257385065879650136721004940062012673188308406928719116673891697000964065289983546092130656774228039187646584186427037155916494133003793039197154635599069533096855663494144597352297137201133931514753256023468180629218378210960000016958305898609578528068215017039054313465957187954156910064821926982563220796053102847952391019730251580754734031926462751919732806548186434628331384168112716231454841372575715238913775459870869028366438913881259453575144452459173224778793986143919760547317286021777308658}
23181  40090087155210477061606549029772155252240456621828328382350295970115330740226: {347595,370768,417114,764511,1135183,1320063,1621690,1946028,1968515,2316700,2362218,2780040,2802239,2965376,3127545,3261471,3336048,3753054,4214938,4230411,5022031,5474463,6021340,6716571,6819515,6962431,7132972,7174330,7225608,7405791,8128809,8183418,8354623,8609196,9396058,9469851,9607263,9946330,10189960,10273715,10293963,10431231,10842891,11126011,11463705,11528511,11935596,12227952,12328458,13030595,13277194,13422940,13477211,13624159,13756446,13839514,14950378,15636714,15781715,16107528,16583451,16634191,17021865,17155115,17672091,18040319,18120969,18156656,18470483,18623391,18828634,18938058,18967420,19030731,19897595,20264125,20426238,20586138,21064191,21078431,21740811,21799331,22596299,22760904,23420716,23607178,23763130,23877114,24316950,24380074,25114911,25295683,25490362,25606017,25938080,26255551,26728595,26753308,27145151,27400731,27409715,27937563,28515756,28659851,28948750,29092531,29132131,29180340,29947263,30809915,31125696,31150491,31345343,31417611,32074314,32567291,32618463,32622394,32674603,32891658,33151551,33199199,33724540,33916351,33950463,34305628,34615563,34738500,35016408,35194138,35503163,36136690,36231515,36479338,36739851,36971898,37054400,37507930,37701071,37731419,37773178,37799691,38040691,38829419,39393459,39599171,40238458,40469448,40956515,41101791,41613403,41617330,41686200,41940683,42256511,42257194,43364028,43477818,43732671,44320715,44430874,44465280,45009516,45126463,45182371,45528129,45614332,45699531,45730568,45920812,46603420,46896975,46965451,47420698,47429632,47523779,47742763,47791563,47927432,48451930,48666394,48945196,49008040,49147818,49233514,49782491,49940796,50023440,50088451,50168051,50277340,50999183,51022115,51446889,51697563,52113340,52865151,53025515,53184858,53358336,53512971,53543482,53561411,53629883,53654188,53918361,54289563,54359315,54418911,55134045,55295482,55581963,55832939,55890345,55924104,56276370,56497948,56500879,57288671,57494771,57517852,57620458,58142316,58591183,58787531,58809648,59316351,59525603,59616368,60028128,60332808,60367420,60599391,61226538,61368063,61762714,62314771,62536008,62914617,62993915,63297283,63630618,63655595,64002778,64043338,64150138,64188525,64376554,65231178,65343538,65601160,66018559,66160854,66269951,66467551,66536125,67068414,67531644,67594108,67729714,67740063,67764059,67826794,67866891,67874409,68095852,68467760,68500671,68927971,69096748,69289162,69320371,69380351,69523420,69639963,70353009,70422682,70903563,71554930,72032572,72038751,72440904,72539171,72553305,72671683,72952348,73501018,73555258,73732571,73801305,74574344,74593331,75498803,75592698,76059231,76074778,76386714,76462474,76648840,76719045,76961231,77026230,77390192,77855539,77935371,78026122,78200639,78309951,78331423,78462971,78690268,78721392,79183131,79479994,79688411,79843350,80179611,80250412,80282303,80544394,80752618,81496017,81833648,82029298,82161312,82167963,82168360,82314940,82925311,83128732,83219578,83338595,83428104,83701690,83896137,84507052,85010218,85138971,85166240,85434418,85756191,85802539,85865916,86229945,86496063,86763491,86823103,86886394,86988831,87063966,87315034,87456779,87809251,88500442,88513883,88561566,88598411,89078811,89167858,90080639,90245098,90424690,90474515,90882561,91238251,91432540,91978608,92062854,92413115,92431476,92439405,93116031,93733498,93847263,93856617,94217611,94577631,94964611,95404499,95611912,95812020,95814652,95878474,95887183,96001631,96043612,96104011,96895420,97486714,98468530,98602032,98709640,98777928,99154399,99395963,99424671,99536794,99572431,99617596,...,519918437556020912528748921295392849983333143445273570300377465366835074844627325679268854042408059622335731948192405658676003246386137370788112629700245496562462580907034938343422139952126957672076113812454244853483847389746651379749749797940992704042916639478703464194997218355658513167552186363848648194104068250878283483194097031581970042673069754971306633182647571776270214176245952780306784261849266345697494996599293458469950893508933826981886328602031077269430906014195835160374499633305981343702340001171937023150751647438890319292340778251104029155596617969075270509422225433401861854422425318096818518679561732437733567967462167797261135870329014797590369256985241953061578554151458295254341132417480097403339110436525751916208026461608215705863041618706814810960730007200366209422519978836535234661865957297882432774800538551566855569201331971570229408933375621492930083390685775830891070512358140024050518843778477129590125542004361201856605874350273068149350121735430362814937402567054845480215844048814824184882465681883436826709234308258071950510661561173448081498072460424881356502999369039243579573292023751698574615877730737936133211221208876872653252843855925934145278074544841038522752588048898337264463550954205246035839160214049998239246566206187060314461344226001652272223654054468213467321423123831173152156780816710409356402151257610171358959727673050144760684261203109930936779037885102949957172007224018013443134492646252032337088117617161586908901969769928681992578333129809235160194180558225073962269100862820753704234552884998135137955404103559655024497727043040144840866748852922388792400655196897287775886840941101761670226571225428631135981522754753883815711916228185927680594343400378187393878108609606957674334613090984289990311799139650620648926680856019410153620141035445279884890810510691238312972939581622183613037031753048922436070175213509257061441189868010734893652693367304646976498836896358529103333435758560833488194410511362244697655811206948236211980014839212295332368752588312261433004619463063891439872819193660845702568670195244899655692165405045625014550598749379704791645223875430843114723234013052666416397960206180954738558120241033818810200052883333361166060045327572345998913471879979389145162455248077049792562318924426023348454888094179039414222987098487201743271154747210491765653996445861224266806660244193909696198406110000014422199680739951081613630254682416396599139627344533654567640380339402023190725579902875690197185151306709975864072329511219191655715140531954094292132216368410712449682477500019297526425742727497611558256529199402628303932080336498759952138143042596517853930523908481505761633742099045722267436644399239707679106690983572635793658921481828035519953489458061992636145944917934432476944937791263281126939536716513719208517603548422802932815529846856013443888639704214866362981875241523823397345383417932996281022333166674006738402393786108870962798551164151173606171922530256814922703273542807541179505192597051984799351911660817878003556776529401652716411720250462701745400858492746506076701153748306968507141236332029158302755807028341842499009114929054275232862091282150375597632076601196731963949886077598819475205081507410093019009782462610393078675010837545501446097934975319138195985161342058781469876279640555733874741199505689558795731953398604299645283495241216896028445705801700897272129884035202270943827567316440000025437458847914367792102322525558581470198935781931235365097232890473844831194079654271928586529595377371132101047889694127879599209822279651942497076252169074347182262058863572858370663189806303542549658370821889180362716678688759837168190979215879640820975929032665962987}
23182  40233467121315292416571615556976096258314167918222693420134682700294730030465: {324422,463460,532657,556152,602342,625671,1019348,1712582,1760084,1917217,2331181,2432535,2594704,2895875,2919042,3149624,3475050,3543327,3706720,4117537,4170060,4348628,4448064,5004072,5029478,5483377,5629581,5640548,5855462,6322407,6405398,6435181,6954758,7112881,7299284,7503542,7526675,8916215,8955428,9032010,9634144,9805681,9874388,10073377,10474381,10699458,10761495,10838412,10911224,11141281,11407537,11478928,12275127,12626468,12734497,12737450,12809684,12866797,12913794,13725284,13908308,14094087,14448781,14457188,14919495,15284940,15371348,15759181,15887074,15914128,16303936,16437944,16778675,17014022,17322157,17903394,18089702,18341928,18492687,18745777,19915791,19966598,20134410,20288881,20634669,20759271,20848952,21035942,21184237,21476704,22111268,22425567,22695820,23217517,23455071,23562788,23709275,24101281,24161292,24353137,24478957,24495398,24831188,25250744,25357681,25374308,27234984,27403622,27448184,27667142,28085588,28220077,28242951,28407087,28451130,28456838,28467181,28837297,28987748,29275895,29698381,30347872,30639357,30678157,30879207,31836152,32139181,32422600,32502817,32646662,32907302,33167798,33441635,33486548,33950881,34141356,34191217,34790797,34910497,35131074,35410767,35644695,35815671,36282518,36475425,36534308,36570111,37250084,38021008,38235543,38907120,39119462,39929684,40014247,40129962,40403222,40687597,41500928,41533988,41890148,41936503,42155675,42421537,42765752,42773634,42882035,43110577,43423125,43491284,43770510,43855544,43911181,43978598,44202068,44741078,45248678,45267284,45755702,46154084,46318000,46515158,46688544,46966177,47273318,47605151,48030182,48111471,48195757,48640717,48933591,48986468,49288742,49295864,49337487,49748077,49791158,50078881,50299057,50399588,50586810,50794262,50845171,51458442,52107750,52164322,52484977,52524612,52791207,53959264,54105517,54205035,54286982,54719007,54802388,55283617,55457847,55581600,56028781,56261895,56659767,56876077,57017915,57163210,57401015,57751478,57818704,57970424,58254275,58310228,59287040,59908897,59909290,60012688,60208838,60357687,60528817,60704172,60932708,61181495,61260050,61920422,62164358,62425995,62529300,62576497,62846675,63138662,63385791,63722084,63791281,63992737,64093357,64294381,65046042,65141675,65216727,65252551,65530424,66090637,66289238,66587728,66646311,66697920,67067735,67078477,67514274,67716418,67735142,68215958,68421498,68595852,68881218,68930084,69894278,69905130,70486868,70622435,70862257,70913144,71131047,71144448,71327222,71350628,71565542,71604442,71891148,71897315,72382897,72386084,72558548,72677895,72754982,72992438,72999591,73042381,73323937,73417794,73512060,73698337,73721727,73850271,74109284,74520460,74565472,74629297,74886902,74907181,74911194,75035160,75416010,75459275,75553057,76301702,76536998,76743181,77007158,77016097,77523088,78170010,78412864,79088468,79349318,79582742,79777287,80037504,80315223,80443744,80481282,80768881,80799188,80944417,81166679,81635384,81824084,82001450,82140902,82770157,82943223,83371681,83381344,83542897,83660423,83799181,83886156,84220982,84414555,84451382,84492635,84746922,84840824,85119815,85141718,85371542,85584700,86045674,86076577,86276778,86370935,86430687,86575537,86904275,86974904,87154381,87213474,88214472,89029142,89192881,89424552,89995681,90040715,90042192,90320084,90489188,90499212,90551130,90844118,91190435,91334228,91422577,91522358,91579681,91839807,92644071,92853284,93099878,93217930,93804012,94222358,94282381,94434157,94509937,94538084,95341238,95445927,95787782,95811050,95936077,96004167,96010417,96051668,96065007,96225207,96564831,96587872,96737740,97263181,97846767,98015307,98134957,98362835,98401740,98676278,99241281,99486431,99564877,99776881,...,693224583408027883371665228393857133311110857927031427067169953822446766459503100905691805389877412829780975930923207544901337661848183161050816839600327328749950107876046584457896186602835943562768151749938993137978463186328868506332999730587990272057222185971604618926662957807544684223402915151798197592138757667837711310925462708775960056897426339961742177576863429035026952234994603707075712349132355127596659995465724611293267858011911769309181771469374769692574541352261113547165999511074641791603120001562582697534335529918520425723121037668138705540795490625433694012562967244535815805896567090795758024906082309916978090623282890396348181160438686396787159009313655937415438072201944393672454843223306796537785480582034335888277368615477620941150722158275753081280973342933821612563359971782046979549154609730509910366400718068755807425601775962093639211911167495323906777854247701107854760683144186698734025125037969506120167389339148269142141165800364090865800162313907150419916536756073127306954458731753098913176620909177915768945645744344095934014215414897930775330763280566508475337332492052324772764389365002264766154503640983914844281628278502496871003791807901245527037432726454718030336784065197783019284734605606994714452213618733330985662088274916080419281792301335536362964872072624284623095230831774897536209041088947212475202868343480228478612970230733526347579014937479907915705383846803933276229342965357351257512656861669376449450823489548782545202626359904909323437777506412313546925574077633431949692134483761004938979403846664180183940538804746206699330302724053526454488998470563185056534206929196383701182454588135682226968761633904841514642030339671845087615888304247903574125791200504249858504144812809276899112817454645719987082398852867494198568907808025880204826854713927039846521080680921651083963919442162911484049375670731896581426900284679009415254919824014313191536924489739529301998449195144705471111247678081111317592547348482992930207748275930981615973353118949727109825003451083015244006159284085188586497092258214460936758226926993199540922887206727500019400798332506273055526965167241124152964312017403555221863946941574606318077493654711758413600070511111148221413393770096461331884629173305852193549940330769399723416425232568031131273184125572052552297316131316268991028206329613989020871995261148299022408880325591879594931208146666685896266240986601442151507006243221862132186169792711539423520507119202697587634106537167586929580201742279967818763106014958922207620187375938792389509621824547616599576636666692396701900990303330148744342038932536837738576107115331679936184190723462023805240698544642007682178322798727629689915525865652943572142254644763514391545228642437380693271319277415990181527926557245909969259917055017708169252715622018292278023471397897070577087373129141351258518186272286488483975833655365097863127177890577328374696444222232008984536525048145161283731401552201564808229230040342419896937698057076721572673590129402646399135882214423837338075702039202203621882293667283602327201144656995341435601538331075958009521648442705544403674409371122456665345486572072366977149455042867167463509435468262309285266514770131759300273442009880124025346376616813857438233347783394001928130579967092184261313548456078375293168372854074311832988266007586078394309271198139066193711326988289194704594274402267863029506512046936361258436756421920000033916611797219157056136430034078108626931914375908313820129643853965126441592106205695904782039460503161509468063852925503839465613096372869256662768336225432462909682745151430477827550919741738056732877827762518907150288904918346449557587972287839521094634572043554617316}
23183  40377356510291851060986320969288539647960473256664843455879816104310426423863: {486633,579325,695190,741536,834228,903513,1274185,1529022,2200105,2270366,2568873,2640126,2755921,3243380,3311737,3892056,3937030,4378563,4633400,4724436,5212575,5435785,5560080,5604478,5930752,6255090,6522942,6672096,7050685,7382617,7506108,7544217,8429876,8460822,8783193,9048913,9124105,9547321,9608097,10044062,10432081,10432137,10948926,11194285,11255313,12042680,12342985,13433142,13548015,13639030,13924862,14265944,14348660,14383201,14451216,14811582,15428377,15783085,15927613,16012105,16049187,16257618,16366836,16709246,17156605,17218392,17385385,18071485,18242833,18548497,18792116,18939702,19106175,19214185,19214526,19370691,19892660,20379920,20547430,20587926,20643481,20862462,21320377,21685782,22094401,22252022,22862713,22927410,23057022,23830611,23871192,24017161,24455904,24656916,24804541,24910873,25521033,25631881,26061190,26309761,26554388,26704717,26845880,26855091,26954422,27134553,27248318,27512892,27639085,27652537,27679028,27856633,28369775,28662337,29453485,29900756,29949897,30201615,31005841,31038985,31273428,31553913,31563430,31717885,32080633,32215056,32407897,33166902,33202081,33268382,33870733,34043730,34310230,35106985,35344182,36080638,36234685,36241938,36313312,36398737,36743097,36940966,37246782,37420033,37657268,37876116,37934840,37951657,38061462,38237881,38373601,38763073,39235417,39795190,40169161,40383313,40528250,40723537,40852476,41105433,41172276,41500713,41858185,41938177,41944321,42128382,42156862,42676695,42685257,42724621,43133881,43481622,43598662,44257897,44284813,44591677,44858041,45192598,45273217,45521808,45667885,46562605,46841432,46874881,47214356,47226337,47526260,47754228,48633900,48760148,48862477,48969993,49360953,49741201,49751697,49912105,49939513,50229822,50287897,50398921,50591366,50724121,50801281,50980724,51212034,51453553,51876160,51917485,52362685,52511102,52615273,52696611,53292481,53457190,53506616,53566057,53634541,54290302,54364105,54412801,54423777,54622033,54801462,54819430,55252585,55531897,55875126,56584105,56733433,57031512,57319702,57339121,57692605,57725581,57793417,57897500,58185062,58264262,58302061,58360680,58556497,58679193,58833853,59894526,59939281,60194943,60604833,61233085,61619830,62049001,62251392,62300982,62690686,62835222,62999485,63284881,63630817,63741313,64148628,64160451,64859341,65134582,65236926,65244788,65349206,65655765,65783316,65967897,66303102,66398398,67111617,67159681,67449080,67522237,67622413,67704793,67832702,67873017,67900926,68267881,68502985,68611256,68633553,69231126,69386377,69476173,69477000,69772737,70032816,70388276,70826473,70909977,71006326,71430961,72045273,72143017,72273380,72463030,72887785,72958676,73479702,73598137,73933113,73943796,74108800,74235721,74686737,74701057,75015860,75374413,75402142,75462838,75505357,75546356,75599382,75880215,75926701,76081382,76103041,76165885,76191393,77187663,77658838,78161625,78207481,78246483,78319033,78469777,78703537,78786918,78858697,79129153,79198342,79652605,80084797,80476916,80705617,80938896,81430473,81896713,81913030,82203582,82290433,83003737,83063833,83226806,83234660,83369017,83372400,83881366,84120397,84513022,84514388,84808441,85610641,85744815,86162605,86627217,86728056,86771017,86955636,86976913,87138493,87465342,88108585,88191481,88316113,88641430,88861748,88930560,89117833,89188285,89207533,89293741,89863935,89929753,90019032,90252926,90313257,90364742,90482605,90698185,91056258,91144321,91211401,91228664,91399062,91446541,91461136,91841624,91890075,92418937,92636605,92880633,93150575,93206840,93246537,93488281,93793950,93930902,94177213,94707993,94841396,94859264,95047558,95412781,95485526,95583126,95854864,96569017,96903860,97293697,97332788,97488457,97569063,97890392,98016080,98295636,98467028,98860585,98927281,99433857,99564982,99881592,...,1039836875112041825057497842590785699966666286890547140600754930733670149689254651358537708084816119244671463896384811317352006492772274741576225259400490993124925161814069876686844279904253915344152227624908489706967694779493302759499499595881985408085833278957406928389994436711317026335104372727697296388208136501756566966388194063163940085346139509942613266365295143552540428352491905560613568523698532691394989993198586916939901787017867653963772657204062154538861812028391670320748999266611962687404680002343874046301503294877780638584681556502208058311193235938150541018844450866803723708844850636193637037359123464875467135934924335594522271740658029595180738513970483906123157108302916590508682264834960194806678220873051503832416052923216431411726083237413629621921460014400732418845039957673070469323731914595764865549601077103133711138402663943140458817866751242985860166781371551661782141024716280048101037687556954259180251084008722403713211748700546136298700243470860725629874805134109690960431688097629648369764931363766873653418468616516143901021323122346896162996144920849762713005998738078487159146584047503397149231755461475872266422442417753745306505687711851868290556149089682077045505176097796674528927101908410492071678320428099996478493132412374120628922688452003304544447308108936426934642846247662346304313561633420818712804302515220342717919455346100289521368522406219861873558075770205899914344014448036026886268985292504064674176235234323173817803939539857363985156666259618470320388361116450147924538201725641507408469105769996270275910808207119310048995454086080289681733497705844777584801310393794575551773681882203523340453142450857262271963045509507767631423832456371855361188686800756374787756217219213915348669226181968579980623598279301241297853361712038820307240282070890559769781621021382476625945879163244367226074063506097844872140350427018514122882379736021469787305386734609293952997673792717058206666871517121666976388821022724489395311622413896472423960029678424590664737505176624522866009238926127782879745638387321691405137340390489799311384330810091250029101197498759409583290447750861686229446468026105332832795920412361909477116240482067637620400105766666722332120090655144691997826943759958778290324910496154099585124637848852046696909776188358078828445974196974403486542309494420983531307992891722448533613320488387819392396812220000028844399361479902163227260509364832793198279254689067309135280760678804046381451159805751380394370302613419951728144659022438383311430281063908188584264432736821424899364955000038595052851485454995223116513058398805256607864160672997519904276286085193035707861047816963011523267484198091444534873288798479415358213381967145271587317842963656071039906978916123985272291889835868864953889875582526562253879073433027438417035207096845605865631059693712026887777279408429732725963750483047646794690766835865992562044666333348013476804787572217741925597102328302347212343845060513629845406547085615082359010385194103969598703823321635756007113553058803305432823440500925403490801716985493012153402307496613937014282472664058316605511614056683684998018229858108550465724182564300751195264153202393463927899772155197638950410163014820186038019564925220786157350021675091002892195869950638276391970322684117562939752559281111467749482399011379117591463906797208599290566990482433792056891411603401794544259768070404541887655134632880000050874917695828735584204645051117162940397871563862470730194465780947689662388159308543857173059190754742264202095779388255759198419644559303884994152504338148694364524117727145716741326379612607085099316741643778360725433357377519674336381958431759281641951858065331925974}
23184  40521757120200616703986159780319288115199019190710459585708674821091570981049: {254903,393839,648844,926920,948863,1042785,1065314,1112304,1204684,1225943,1251342,1548839,2038696,2239439,2293533,2377343,2607023,2928239,3019943,3405549,3425164,3520168,3615239,3752423,3834434,3843839,3960189,3980903,4054225,4163543,4391663,4662362,4847303,4865070,5120303,5189408,5529263,5791750,5838084,5905545,6028223,6299248,6345239,6480983,6950100,7023239,7086654,7158623,7413440,7564343,8235074,8340120,8373839,8406717,8508503,8697256,8896128,9046439,9135983,9382635,9784413,9851183,10008144,10058956,10074263,10386239,10519823,10537345,10608839,10966754,11053439,11259162,11281096,11710924,12249863,12382439,12482701,12644814,12691233,12735623,12810796,12870362,12912023,13836023,13909516,13923839,14225762,14450063,14493863,14598568,14712743,15007084,15053350,15066093,15149903,15368183,15760583,16423389,16673663,16847183,17626439,17832430,17910856,17935825,18064020,19268288,19563239,19611362,19648943,19748776,20146754,20149713,20205239,20290703,20458545,20845439,20887293,20948762,21398916,21522990,21676824,21822448,21993263,22217373,22282562,22459223,22815074,22839743,22957856,23261783,23472503,23490145,24103463,24145463,24386427,24550254,24648839,24865825,25063869,25252936,25401743,25468994,25474900,25619368,25733594,25777223,25827588,25985543,26110439,26235263,26858303,27450568,27816616,28188174,28263863,28409553,28510943,28821789,28881023,28897562,28914376,29823839,29838990,30109943,30569880,30742696,30821145,30881889,31047239,31169183,31293693,31453439,31518362,31774148,31828256,31939823,32182583,32528673,32607872,32747903,32875888,32989703,33192985,33378033,33557350,33873839,33954023,34028044,34194383,34391115,34474439,34585533,34598785,34644314,34674239,34953623,35073239,35789423,35806788,35868839,36179404,36384263,36463439,36683856,36985374,37375945,37491554,38040239,38157983,38236439,38510783,39091785,39682103,39798839,39831582,39876623,39933196,40268820,40431633,40458983,40575239,40577762,40872477,40986253,41269338,41518542,41697904,41849303,42071884,42233663,42310439,42368474,42885239,42953408,43572623,43953383,44222536,44851134,45279743,45391640,45430703,46221143,46435034,46558823,46818289,46858439,46910142,47071585,47125576,47345145,47418550,47679743,47791439,47977439,48202562,48237503,48322584,48706274,48957914,48990796,49458239,49662376,49750353,49902573,50083703,50501488,50560439,50633663,50715362,50748616,51065595,51108839,51291239,51465345,51764543,52091423,52490063,52743239,53016273,53205757,53356463,53895623,54110783,54120957,54362907,54469968,54647423,54807244,54896368,54897239,55334284,55411449,55431239,55870173,56034263,56171176,56246543,56260633,56440154,56485902,56670239,56814174,56902260,56913676,56916863,56934362,57092193,57674594,57724439,57829463,57969383,57975496,58074239,58144103,58551790,58597439,58771439,59017945,59396762,59407825,59692785,59742143,60034849,60569183,60695744,60740903,60792375,60946703,60950185,61186439,61254863,61278714,61356314,61596503,61698839,61758414,61971383,62616623,62887439,63192573,63235293,63326423,63672304,63725905,63730439,63797663,64278362,64300823,64845200,64902239,65005634,65135423,65222433,65293324,65397993,65814604,65998103,66130343,66328463,66335596,66789623,66883270,66973096,67118063,67380239,67788897,67805183,67901762,68196239,68282712,68358839,68382434,69581594,69820994,70198343,70262148,70614239,70710023,70821534,70996943,71187863,71289390,71631342,71727239,72106583,72371875,72516239,72565036,72950850,73049903,73068616,73140222,73143839,73550063,73612439,73705943,74451383,74500168,75344733,75376703,75468839,75887049,75928439,76042016,76471086,76751183,76781543,76818051,77054423,77145239,77814240,78238924,78409103,78737783,78766653,79035743,79825081,79859368,79895303,80028494,80185785,80259924,80361421,80777423,80806444,80806703,81375194,81435453,81555985,82202193,82229145,82520063,82606439,83001856,83067976,83237663,83780296,83812689,83836583,83873006,83978663,84262223,84311350,84403703,84742439,84843074,85023839,85360463,85444439,85531504,85547268,85654093,85764070,85979553,86085863,86221154,86363423,86750663,86764381,86846250,86916143,86982568,87191303,87277593,87328583,87396393,87541020,87575183,87711088,87822362,87957196,87985345,88011983,88066439,88404136,88419623,88473839,88663343,89202623,89283239,89482156,89841789,90005543,90032183,90271583,90341725,90483839,90497356,90534568,90563303,90827663,90959543,91198345,91511404,91589783,92059439,92308168,92319239,92429745,92636000,93030316,93145223,93377088,93451473,93478439,93769825,93861239,93894829,93932354,94036029,94252833,94292903,94432945,94444703,94545743,94546636,94822943,95199383,95210302,95374439,95924257,95946863,96060364,96222942,96391514,96490439,96907823,96981239,97274183,97281434,97298543,97590239,97701873,97855389,97867182,97953239,97972936,98023809,98577484,98591728,98674974,98871409,99454653,99496154,99576263,99582316,99597597,99670583,99858839,...,1559755312668062737586246763886178549949999430335820710901132396100505224533881977037806562127224178867007195844577216976028009739158412112364337889100736489687387742721104815030266419856380873016228341437362734560451542169239954139249249393822978112128749918436110392584991655066975539502656559091545944582312204752634850449582291094745910128019209264913919899547942715328810642528737858340920352785547799037092484989797880375409852680526801480945658985806093231808292718042587505481123498899917944031107020003515811069452254942316670957877022334753312087466789853907225811528266676300205585563267275954290455556038685197313200703902386503391783407610987044392771107770955725859184735662454374885763023397252440292210017331309577255748624079384824647117589124856120444432882190021601098628267559936509605703985597871893647298324401615654700566707603995914710688226800126864478790250172057327492673211537074420072151556531335431388770376626013083605569817623050819204448050365206291088444812207701164536440647532146444472554647397045650310480127702924774215851531984683520344244494217381274644069508998107117730738719876071255095723847633192213808399633663626630617959758531567777802435834223634523115568257764146695011793390652862615738107517480642149994717739698618561180943384032678004956816670962163404640401964269371493519456470342450131228069206453772830514076879183019150434282052783609329792810337113655308849871516021672054040329403477938756097011264352851484760726705909309786045977734999389427705480582541674675221886807302588462261112703658654994405413866212310678965073493181129120434522600246558767166377201965590691863327660522823305285010679713676285893407944568264261651447135748684557783041783030201134562181634325828820873023003839272952869970935397418951861946780042568058230460860423106335839654672431532073714938918818744866550839111095259146767308210525640527771184323569604032204680958080101913940929496510689075587310000307275682500464583231534086734092967433620844708635940044517636885997106257764936784299013858389191674319618457580982537107706010585734698967076496215136875043651796248139114374935671626292529344169702039157999249193880618542864215674360723101456430600158650000083498180135982717037996740415639938167435487365744231149377686956773278070045364664282537118242668961295461605229813464241631475296961989337583672800419980732581729088595218330000043266599042219853244840890764047249189797418882033600963702921141018206069572176739708627070591555453920129927592216988533657574967145421595862282876396649105232137349047432500057892579277228182492834674769587598207884911796241009496279856414429127789553561791571725444517284901226297137166802309933197719123037320072950717907380976764445484106559860468374185977908437834753803297430834813373789843380818610149541157625552810645268408798446589540568040331665919112644599088945625724571470192036150253798988843066999500022020215207181358326612888395653492453520818515767590770444768109820628422623538515577791155954398055734982453634010670329588204958149235160751388105236202575478239518230103461244920905521423708996087474908267421085025527497027344787162825698586273846451126792896229803590195891849658232796458425615244522230279057029347387831179236025032512636504338293804925957414587955484026176344409628838921667201624223598517068676387195860195812898935850485723650688085337117405102691816389652105606812831482701949320000076312376543743103376306967576675744410596807345793706095291698671421534493582238962815785759588786132113396303143669082383638797629466838955827491228756507223041546786176590718575111989569418910627648975112465667541088150036066279511504572937647638922462927787097997888961}
23185  40666670755406739960800709822375062823212940529140058220859582545335737027131: {811055,973266,1158650,1390380,1483072,1505855,1597971,1668456,1783859,1807026,1877013,2548370,3058044,3080147,3913871,4281455,4400210,4540732,5137746,5280252,5511842,5751651,6486760,6623474,6993543,7297605,7610099,7784112,7874060,7891763,8687625,8724911,8757126,9266800,9448872,9870959,10113491,10425150,10629981,10871570,10940963,11120160,11208956,11861504,12328823,12352611,12510180,12573695,12773747,13045884,13344192,14101370,14549399,14638655,14765234,15012216,15088434,15671999,16013495,16450131,16492403,16859752,16888743,16921644,17280179,17386895,17566386,18097826,18248210,18758855,18967221,19094642,19216194,19305543,20088124,20864162,20864274,21338643,21897852,21920951,22096319,22388570,22416947,22510626,22580025,24019247,24085360,24339539,24685970,25300079,26139443,26515199,26748645,26866284,26899859,27096030,27278060,27849724,28531888,28697320,28766402,28902432,29405027,29417043,29623164,30220131,30292223,30856754,31423143,31566170,31843625,31855226,32024210,32098374,32284485,32515236,32680271,32733672,33418492,33423843,33873671,34222611,34313210,34436784,34653587,34770770,36142970,36485666,36825381,37096994,37584232,37879404,38044079,38203491,38212350,38428370,38429052,38600391,38694719,38741382,39238823,39717685,39750359,39785320,40759840,41094860,41175852,41234879,41258723,41286962,41724924,42282261,42535055,42640754,42710051,42728327,43346343,43371564,43454579,44188802,44405039,44504044,44758485,45134291,45190223,45224255,45725426,45779063,45854820,46114044,46878947,47277543,47661222,47742384,47751047,47951699,48034322,48911808,49149779,49313832,49494791,49609082,49745519,49821746,49916495,50336025,50728559,51042066,51263762,51966471,52107359,52122380,52232303,52589855,52619522,53108776,53297123,53409434,53504711,53691760,53710182,53908844,54269106,54417527,54496636,54626771,55025784,55278170,55305074,55358056,55478061,55593107,55713266,56237331,56739550,57217799,57324674,57793871,58601459,58906970,59084639,59361683,59431151,59747373,59801512,59899794,59944487,60403230,60541463,60814307,60866643,61238495,61416359,61904007,62011682,62077970,62277813,62546856,62982023,63107826,63126860,63435770,63552711,63935039,64161266,64430112,64815794,64864967,65161127,65187647,66333804,66404162,66536764,67276701,67741466,68087460,68301311,68509055,68620460,68859311,69051503,69167855,69332399,69652551,69876947,70213970,70365213,70435763,70688364,71127825,71142095,71240291,72161276,72178943,72303843,72469370,72483876,72626624,72650579,72684479,72797474,73059411,73307759,73436871,73486194,73881932,74493564,74588543,74791223,74840066,75314536,75577991,75752232,75869680,75903314,75933287,76073043,76109747,76122924,76475762,76747202,77353619,77526146,78345011,78470834,78710423,79217747,79590380,79917203,80338322,80680223,80712623,80766626,80769647,81056500,81447074,81616655,81704952,82210866,82268255,82297571,82344552,82919495,83001426,83716370,83876354,83888642,84241991,84256764,84313724,84660231,84728853,84815807,85221261,85353390,85370514,85401543,85449242,85618067,85726319,85817423,86267762,86511891,86963244,87197324,87827685,88199279,88223831,88515794,88569626,89095143,89183354,89215271,89716082,90385196,90546434,90657299,90706295,91043616,91152227,91219319,91335770,91918071,92034471,92071859,92427023,92637621,92781527,92916287,93013271,93125210,93682864,93749762,94233959,94428712,94452674,95052520,95508456,95904179,96417543,96522911,97209491,97267800,97302143,97508451,97520296,97724954,97753199,97798655,97939986,98721906,99289271,99467159,99482402,99503394,99798887,99824210,99842543,99879026,...,2079673750224083650114995685181571399933332573781094281201509861467340299378509302717075416169632238489342927792769622634704012985544549483152450518800981986249850323628139753373688559808507830688304455249816979413935389558986605518998999191763970816171666557914813856779988873422634052670208745455394592776416273003513133932776388126327880170692279019885226532730590287105080856704983811121227137047397065382789979986397173833879803574035735307927545314408124309077723624056783340641497998533223925374809360004687748092603006589755561277169363113004416116622386471876301082037688901733607447417689701272387274074718246929750934271869848671189044543481316059190361477027940967812246314216605833181017364529669920389613356441746103007664832105846432862823452166474827259243842920028801464837690079915346140938647463829191529731099202154206267422276805327886280917635733502485971720333562743103323564282049432560096202075375113908518360502168017444807426423497401092272597400486941721451259749610268219381920863376195259296739529862727533747306836937233032287802042646244693792325992289841699525426011997476156974318293168095006794298463510922951744532844884835507490613011375423703736581112298179364154091010352195593349057854203816820984143356640856199992956986264824748241257845376904006609088894616217872853869285692495324692608627123266841637425608605030440685435838910692200579042737044812439723747116151540411799828688028896072053772537970585008129348352470468646347635607879079714727970313332519236940640776722232900295849076403451283014816938211539992540551821616414238620097990908172160579363466995411689555169602620787589151103547363764407046680906284901714524543926091019015535262847664912743710722377373601512749575512434438427830697338452363937159961247196558602482595706723424077640614480564141781119539563242042764953251891758326488734452148127012195689744280700854037028245764759472042939574610773469218587905995347585434116413333743034243333952777642045448978790623244827792944847920059356849181329475010353249045732018477852255565759491276774643382810274680780979598622768661620182500058202394997518819166580895501723372458892936052210665665591840824723818954232480964135275240800211533333444664240181310289383995653887519917556580649820992308199170249275697704093393819552376716157656891948393948806973084618988841967062615985783444897067226640976775638784793624440000057688798722959804326454521018729665586396558509378134618270561521357608092762902319611502760788740605226839903456289318044876766622860562127816377168528865473642849798729910000077190105702970909990446233026116797610513215728321345995039808552572170386071415722095633926023046534968396182889069746577596958830716426763934290543174635685927312142079813957832247970544583779671737729907779751165053124507758146866054876834070414193691211731262119387424053775554558816859465451927500966095293589381533671731985124089332666696026953609575144435483851194204656604694424687690121027259690813094171230164718020770388207939197407646643271512014227106117606610865646881001850806981603433970986024306804614993227874028564945328116633211023228113367369996036459716217100931448365128601502390528306404786927855799544310395277900820326029640372076039129850441572314700043350182005784391739901276552783940645368235125879505118562222935498964798022758235182927813594417198581133980964867584113782823206803589088519536140809083775310269265760000101749835391657471168409290102234325880795743127724941460388931561895379324776318617087714346118381509484528404191558776511518396839289118607769988305008676297388729048235454291433482652759225214170198633483287556721450866714755039348672763916863518563283903716130663851948}
23186  40812099226602019434830107497959404591680704900873775085631349670015848619367: {301249,440173,509806,787678,995149,1297688,1459899,1737975,1853840,1897726,2085570,2130628,2224608,2409368,2451886,2502684,2710539,2928493,3097678,3615553,3822555,4077392,4437649,4478878,4587066,4754686,5120749,5214046,5675915,5856478,6039886,6600315,6811098,6850328,7040336,7230478,7504846,7668868,7687678,7706619,7920378,7961806,8108450,8267763,8327086,8643853,8783326,9315793,9324724,9694606,9730140,9842575,9935211,10240606,10378816,11054413,11058526,11583500,11676168,11811090,12056446,12383533,12598496,12690478,12961966,13135689,13837249,13900200,13968973,14011195,14046478,14173308,14317246,14495149,14752283,14826880,15128686,15637725,16307355,16458049,16470148,16588333,16680240,16747678,16813434,17017006,17394512,17792256,18092878,18271966,18765270,19568826,19693549,19702366,20016288,20117912,20148526,20207053,20772478,21039646,21074690,21152055,21217678,21933508,22106878,22122433,22147851,22518324,22562192,22632651,22884049,23010733,23421848,23516749,24147649,24499726,24764878,24776749,24965402,25110155,25289628,25382466,25471246,25621592,25740724,25824046,26349579,27146739,27372315,27399313,27672046,27819032,27847678,28451524,28641963,28824291,28900126,28987726,29006893,29197136,29425486,30014168,30106700,30132186,30299806,30480013,30736366,31090753,31296243,31296411,31456333,31521166,31699693,32846778,32886203,33347326,33582855,33694366,33765939,34097575,34477633,34717393,34812155,35076493,35252878,35664860,35673553,35792749,35821712,35871650,35911873,36128040,36387649,36506413,37028955,37572049,38279233,38536576,39126478,39222724,39297886,39497552,39802573,39919249,40293508,40299426,40410478,40581406,40644045,40917090,41690878,41773115,41774586,41897524,42237649,42352813,42697873,42797832,42927553,43045980,43149603,43353648,43644896,43986526,44434746,44565124,44918446,45630148,45679486,45915712,46225549,46285131,46470179,46523566,46900333,46945006,46980290,47349255,47782839,47796013,48036315,48147561,48206926,48290926,48438299,48772854,49100508,49297678,49462993,49731650,50127738,50505872,50565313,50803486,50937988,50949800,51113773,51238736,51368575,51467188,51469815,51554446,51655176,51971086,52156155,52220878,52326323,52470526,53397649,53716606,54214455,54728499,54901136,54902593,55436653,55630055,55633232,55645491,56376348,56527726,56819106,57021886,57028033,57318525,57642555,57643578,57660049,57762046,57795124,57828752,58112073,59124673,59647678,59677980,59748049,60219886,61139760,61192513,61485392,61642290,61763778,61909453,61930443,62094478,62338366,62587386,62879531,62906878,63036724,63332749,63548296,63656512,63879646,63961131,64365166,64942093,65057346,65152975,65215744,65495806,65751776,65900219,65938573,65979406,66283203,66335149,66385970,66489839,66756066,66829249,67114700,67386055,67747678,67812049,67908046,68056088,68120795,68388766,68398273,68588139,68782230,68884813,68948878,69171066,69197570,69288628,69348478,69907246,70146478,70237549,71195149,71491833,71578846,71613576,71737678,72050833,72051483,72240193,72358808,72712333,72768526,72926878,73182673,73367712,73970748,74413623,74490049,74732619,74751890,74860993,74983108,75507373,76080478,76241773,76315966,76472878,76563099,76789549,76895643,77021566,78183570,78237613,78908575,78929283,79364206,79400593,79597678,79663164,79753246,79866392,80114151,80537640,80565273,80815249,80863266,80917966,81150478,81155524,81403659,81602893,81744954,81972506,82538676,82625123,82917255,82957611,83037084,83170955,83395808,83569899,83698606,84143768,84186253,84467326,84620878,84736948,84779713,85109325,85330259,85537549,85770478,85775575,85906816,85987011,86372749,87145246,87283153,87694093,87906766,88103233,88360455,88445072,89216267,89702268,89849691,90042049,90201595,90361153,90520273,90559486,90604845,90758413,90783280,90861406,91704493,92352415,92442286,92870068,93017523,93116955,93117646,93488833,93636578,93642193,93716878,93820284,93871693,94143170,94251152,94661739,94690290,94837100,95084749,95153655,95359486,95385133,95582878,95954878,96241899,96405124,96475006,96501313,96645168,96648913,97016653,97223691,97309549,97412548,97601293,97915828,97981592,98036749,98916478,99042733,99324752,99487975,99500706,99540433,99606243,99805146,...,3119510625336125475172493527772357099899998860671641421802264792201010449067763954075613124254448357734014391689154433952056019478316824224728675778201472979374775485442209630060532839712761746032456682874725469120903084338479908278498498787645956224257499836872220785169983310133951079005313118183091889164624409505269700899164582189491820256038418529827839799095885430657621285057475716681840705571095598074184969979595760750819705361053602961891317971612186463616585436085175010962246997799835888062214040007031622138904509884633341915754044669506624174933579707814451623056533352600411171126534551908580911112077370394626401407804773006783566815221974088785542215541911451718369471324908749771526046794504880584420034662619154511497248158769649294235178249712240888865764380043202197256535119873019211407971195743787294596648803231309401133415207991829421376453600253728957580500344114654985346423074148840144303113062670862777540753252026167211139635246101638408896100730412582176889624415402329072881295064292888945109294794091300620960255405849548431703063969367040688488988434762549288139017996214235461477439752142510191447695266384427616799267327253261235919517063135555604871668447269046231136515528293390023586781305725231476215034961284299989435479397237122361886768065356009913633341924326809280803928538742987038912940684900262456138412907545661028153758366038300868564105567218659585620674227310617699743032043344108080658806955877512194022528705702969521453411818619572091955469998778855410961165083349350443773614605176924522225407317309988810827732424621357930146986362258240869045200493117534332754403931181383726655321045646610570021359427352571786815889136528523302894271497369115566083566060402269124363268651657641746046007678545905739941870794837903723893560085136116460921720846212671679309344863064147429877837637489733101678222190518293534616421051281055542368647139208064409361916160203827881858993021378151174620000614551365000929166463068173468185934867241689417271880089035273771994212515529873568598027716778383348639236915161965074215412021171469397934152992430273750087303592496278228749871343252585058688339404078315998498387761237085728431348721446202912861200317300000166996360271965434075993480831279876334870974731488462298755373913546556140090729328565074236485337922590923210459626928483262950593923978675167345600839961465163458177190436660000086533198084439706489681781528094498379594837764067201927405842282036412139144353479417254141183110907840259855184433977067315149934290843191724565752793298210464274698094865000115785158554456364985669349539175196415769823592482018992559712828858255579107123583143450889034569802452594274333604619866395438246074640145901435814761953528890968213119720936748371955816875669507606594861669626747579686761637220299082315251105621290536817596893179081136080663331838225289198177891251449142940384072300507597977686133999000044040430414362716653225776791306984907041637031535181540889536219641256845247077031155582311908796111469964907268021340659176409916298470321502776210472405150956479036460206922489841811042847417992174949816534842170051054994054689574325651397172547692902253585792459607180391783699316465592916851230489044460558114058694775662358472050065025273008676587609851914829175910968052352688819257677843334403248447197034137352774391720391625797871700971447301376170674234810205383632779304211213625662965403898640000152624753087486206752613935153351488821193614691587412190583397342843068987164477925631571519177572264226792606287338164767277595258933677911654982457513014446083093572353181437150223979138837821255297950224931335082176300072132559023009145875295277844925855574195995777922}
23187  40958044350826938792552995786681312565114902734725432496061299550217211813087: {764709,1135477,1181517,1622110,1946532,2108197,2317300,2663285,2780760,2846589,2966144,3011710,3128355,3195942,3336912,3567718,3614052,3677829,3754026,4330733,4646517,5096740,5994037,6116088,6160294,6718317,6880599,7132029,7821069,7827742,8562910,8784717,8800420,9059829,9081464,9326629,9586085,10216647,10275492,10560504,10845717,11023684,11257269,11503302,11531517,11655905,11880567,11942709,12162675,12490629,12930229,12973520,13174989,13246948,13987086,14479375,14541909,14595210,15002933,15220198,15360909,15568224,15748120,15783526,16261093,16587789,17375250,17449822,17514252,17603173,17716635,18084669,18533600,18897744,19035717,19442949,19741918,20226982,20494117,20587685,20828417,20850300,21069717,21259962,21475869,21743140,21881926,22240320,22417912,22418893,22602173,22693029,23723008,24341653,24657646,24705222,24989477,25020360,25121517,25147390,25220151,25525509,25547494,26091768,26262397,26688384,27139317,27407949,27416885,27486113,27880493,28147905,28202740,28667309,29098798,29277310,29353239,29530468,29553549,30024432,30176868,30222789,30892069,31158717,31343998,31559469,31612035,31826517,32026990,32175905,32575757,32900262,32984806,33160317,33719504,33777486,33843288,34560358,34719773,34773790,34921553,35132772,35564405,36195652,36496420,36749589,37147317,37448103,37517710,37633375,37741253,37934442,38073699,38189284,38206869,38432388,38611086,38736069,39522389,40176248,41508069,41728324,41728548,41771517,41951597,42519853,42677286,43350189,43481589,43774709,43795704,43841902,44061629,44138229,44192638,44292497,44511773,44581075,44777140,44833894,45021252,45160050,45198279,45449709,46104549,46977697,47281749,47536133,47755189,48038494,48170720,48679078,48760309,49028405,49270167,49371940,50020989,50366885,50541549,50600158,51307853,52278886,52371905,52879317,53030398,53497290,53575349,53732568,53799718,53807475,54102529,54192060,54556120,55597933,55604759,55699448,55706405,55847453,56743277,57037685,57063776,57394640,57509717,57532804,57804864,58312193,58689717,58802909,58810054,58834086,58946829,59246328,59549077,60301373,60440262,60449139,60584446,60615717,60819589,60872109,61375635,61713508,62536317,62661879,62846286,62987509,63132340,63313957,63672485,63687250,63710452,64003613,64048420,64196748,64333985,64568970,64834529,65030472,65305517,65360542,65467344,65979789,66035773,66652119,66836984,66847686,67377669,67436533,67533953,67747342,67781813,68445222,68519229,68626420,68641813,68873568,69307174,69338413,69541540,69785349,69883093,70417509,70470435,72243905,72285940,72310389,72419869,72436389,72558077,72971332,73159281,73608229,73625797,73650762,73946517,74193988,74597475,75168464,75191607,75758808,76088158,76205229,76406982,76424700,76856740,76858104,76936577,77200782,77331669,77389438,77482764,77956629,78331317,78477646,78483389,78705789,78795905,79435370,79500718,79570640,79709333,80574909,81519680,82189720,82351704,82469758,82517446,82573924,82737217,83449848,83893375,84134993,84564522,84791589,85070110,85228659,85281508,85420102,85456654,85532829,85733893,86465367,86610785,86643069,86692686,86743128,86786069,86909158,87479573,88377604,88537037,88810078,89008088,89471517,89516970,89945357,90104333,90268582,90329829,90380446,90448510,90665173,90853457,91450852,91462433,91558126,91709640,92228088,92463435,92645667,92924353,93021409,93141717,93507549,93728885,93757894,93881079,94242133,94360317,94555086,95322444,95484768,95502094,95819469,95903398,95912677,96068644,96547749,96585773,96834997,97505573,97586019,97823616,98243709,98299558,98627664,98969109,98989582,99180253,99218164,99491038,99578955,99598933,99643492,99832990,...,4679265938004188212758740291658535649849998291007462132703397188301515673601645931113419686381672536601021587533731650928084029217475236337093013667302209469062163228163314445090799259569142619048685024312088203681354626507719862417747748181468934336386249755308331177754974965200926618507969677274637833746936614257904551348746873284237730384057627794741759698643828145986431927586213575022761058356643397111277454969393641126229558041580404442836976957418279695424878154127762516443370496699753832093321060010547433208356764826950012873631067004259936262400369561721677434584800028900616756689801827862871366668116055591939602111707159510175350222832961133178313323312867177577554206987363124657289070191757320876630051993928731767245872238154473941352767374568361333298646570064803295884802679809528817111956793615680941894973204846964101700122811987744132064680400380593436370750516171982478019634611223260216454669594006294166311129878039250816709452869152457613344151095618873265334436623103493609321942596439333417663942191136950931440383108774322647554595954050561032733482652143823932208526994321353192216159628213765287171542899576641425198900990879891853879275594703333407307502670903569346704773292440085035380171958587847214322552441926449984153219095855683542830152098034014870450012886490213921205892808114480558369411027350393684207619361318491542230637549057451302846158350827989378431011340965926549614548065016162120988210433816268291033793058554454282180117727929358137933204998168283116441747625024025665660421907765386783338110975964983216241598636932036895220479543387361303567800739676301499131605896772075589982981568469915855032039141028857680223833704792784954341407246053673349125349090603403686544902977486462619069011517818858609912806192256855585840340127704174691382581269319007518964017294596221144816756456234599652517333285777440301924631576921583313552970708812096614042874240305741822788489532067226761930000921827047501393749694602260202278902300862534125907820133552910657991318773294810352897041575167575022958855372742947611323118031757204096901229488645410625130955388744417343124807014878877588032509106117473997747581641855628592647023082169304369291800475950000250494540407948151113990221246919814502306462097232693448133060870319834210136093992847611354728006883886384815689440392724894425890885968012751018401259942197745187265785654990000129799797126659559734522672292141747569392256646100802891108763423054618208716530219125881211774666361760389782776650965600972724901436264787586848629189947315696412047142297500173677737831684547478504024308762794623654735388723028488839569243287383368660685374715176333551854703678891411500406929799593157369111960218852153722142930293336452319679581405122557933725313504261409892292504440121369530142455830448623472876658431935805226395339768621704120994997757337933797266836877173714410576108450761396966529200998500066060645621544074979838665186960477360562455547302772311334304329461885267870615546733373467863194167204947360902032010988764614874447705482254164315708607726434718554690310383734762716564271126988262424724802263255076582491082034361488477095758821539353380378688689410770587675548974698389375276845733566690837171088042163493537708075097537909513014881414777872243763866452078529033228886516765001604872670795551206029161587580587438696807551457170952064256011352215308075449168956316820438494448105847960000228937129631229310128920902730027233231790422037381118285875096014264603480746716888447357278766358396340188909431007247150916392888400516867482473686269521669124640358529772155725335968708256731882946925337397002623264450108198838534513718812942916767388783361293993666883}
23188  41104507951492780092492910357444122984955384396508995641403151574834936069433: {602498,671611,880346,1019612,1575356,1641307,1990298,2055811,2331787,2433165,2469667,2595376,2896625,2919798,3020467,3432811,3475950,3707680,3795452,3844507,4171140,4261256,4449216,4517565,4793913,4818736,4903772,5005368,5212147,5351577,5421078,5631039,5757187,5856986,6195356,6370925,6436867,7114747,7231106,7250107,7645110,7946281,8154784,8875298,8957756,9137587,9174132,9240441,9509372,9540211,10209811,10241498,10428092,10477147,10610707,10877611,11000525,11144227,11351830,11543611,11712956,11741613,12079772,12844365,12870211,13200630,13622196,13700656,13779605,13926307,14080672,14460956,14584027,15009692,15239947,15337736,15375356,15413238,15840756,15923612,16155211,16216900,16535526,16558685,16654172,17254953,17287706,17566652,17845627,18363307,18631586,18649448,18750811,19389212,19460280,19615673,19652467,19685150,19870422,20294347,20481212,20678611,20757632,20934427,20980629,21892815,22108826,22117052,22830297,22843867,23167000,23352336,23622180,23675289,24112892,24233827,24485611,24767066,25196992,25364587,25380956,25923932,26062875,26174733,26271378,27178925,27608611,27674498,27800400,27937946,27980347,28022390,28092956,28346616,28598467,28634492,28990298,29504566,29612877,29653760,29829307,30257372,30340473,31275450,31540387,31889943,32269387,32614710,32822889,32916098,32940296,33176666,33360480,33495356,33626868,33960307,34034012,34560787,34789024,34920211,35154217,35253425,35584512,35875507,36185756,36470227,36543932,36913085,36944707,36986469,37057833,37530540,37721085,38243587,38321241,38713747,39137652,39387098,39404732,39416827,39884107,40032576,40235824,40297052,40414106,41544956,42079292,42149380,42304110,42318427,42435356,43122811,43648197,43867016,43915965,43923667,44037787,44213756,44244866,44265811,44295702,44834611,45036648,45124384,45244565,45265302,45620525,45768098,46021466,46305067,46843696,47015997,47033498,47427907,47736605,48040485,48209611,48295298,48737017,48765811,48999452,49350393,49477209,49529756,49541467,49553498,49872811,49930804,50203507,50220310,50579256,50643427,50666229,50764932,50942492,51243184,51481448,51648092,51840537,52160405,52160685,52608811,52699158,54293478,54744630,54798626,55344092,55513147,55638064,55695356,55971425,56276565,56681347,56892811,56901663,56903048,57283926,57420211,57648582,57800252,57916629,57975452,58013786,58155547,58394272,58482361,58850972,59303947,59511811,59823067,60028336,60030211,60213400,60264372,60599612,60752947,60960026,61267027,61472732,61714925,62181506,62592486,62592822,62899987,62912666,63042332,63399386,63406507,63810427,64015929,64112611,64406969,64815187,65613811,65693556,65762853,65772406,66288957,66407827,66694652,67165710,67250841,67388732,67531878,67740075,68079811,68195150,68275147,68762227,68955266,69344347,69434786,69624310,70152986,70505756,70788307,71329720,71347106,71585498,71643424,71743300,71823746,71916005,72057741,72256080,72405211,72775298,73012826,73018617,73064947,73158907,73571597,73627627,74057910,74312173,75144098,75668611,75900237,76558466,76858267,77073152,77141885,77493811,77882077,78252956,78418329,78445448,78595772,78915425,78995104,79111867,79545597,79605146,79638065,79838498,80060525,80177611,80245935,80354227,80587016,80598852,80699577,80794507,80820956,81057811,81162812,81288090,81834180,81930811,82537627,83381756,83484067,83546230,83549172,83795048,84336907,84475298,84705626,85395746,85595664,85783025,85855106,86091960,86187811,86299206,86707296,86926925,87289792,87973052,88085587,88215081,88251129,88493107,88869492,89130248,89302747,89836892,89865211,90025267,90105187,90357425,90660393,90876669,91214165,91260296,91358972,91452811,91831424,92235811,92451098,92570262,92742485,92857027,92940358,93047132,93800666,93890012,93933067,93960580,94269429,94340477,94541611,94698510,94768627,95369113,95445787,95530875,95565678,95592026,95819467,96042811,96070925,96072630,96295122,96413852,96561427,96581852,96853455,96876598,97369267,97515211,97545708,97660867,98040813,98201016,98384827,98595356,98925986,99315211,99463300,99811147,99881707,...,6239021250672250950344987055544714199799997721343282843604529584402020898135527908151226248508896715468028783378308867904112038956633648449457351556402945958749550970884419260121065679425523492064913365749450938241806168676959816556996997575291912448514999673744441570339966620267902158010626236366183778329248819010539401798329164378983640512076837059655679598191770861315242570114951433363681411142191196148369939959191521501639410722107205923782635943224372927233170872170350021924493995599671776124428080014063244277809019769266683831508089339013248349867159415628903246113066705200822342253069103817161822224154740789252802815609546013567133630443948177571084431083822903436738942649817499543052093589009761168840069325238309022994496317539298588470356499424481777731528760086404394513070239746038422815942391487574589193297606462618802266830415983658842752907200507457915161000688229309970692846148297680288606226125341725555081506504052334422279270492203276817792201460825164353779248830804658145762590128585777890218589588182601241920510811699096863406127938734081376977976869525098576278035992428470922954879504285020382895390532768855233598534654506522471839034126271111209743336894538092462273031056586780047173562611450462952430069922568599978870958794474244723773536130712019827266683848653618561607857077485974077825881369800524912276825815091322056307516732076601737128211134437319171241348454621235399486064086688216161317613911755024388045057411405939042906823637239144183910939997557710821922330166698700887547229210353849044450814634619977621655464849242715860293972724516481738090400986235068665508807862362767453310642091293221140042718854705143573631778273057046605788542994738231132167132120804538248726537303315283492092015357091811479883741589675807447787120170272232921843441692425343358618689726128294859755675274979466203356444381036587069232842102562111084737294278416128818723832320407655763717986042756302349240001229102730001858332926136346936371869734483378834543760178070547543988425031059747137196055433556766697278473830323930148430824042342938795868305984860547500174607184992556457499742686505170117376678808156631996996775522474171456862697442892405825722400634600000333992720543930868151986961662559752669741949462976924597510747827093112280181458657130148472970675845181846420919253856966525901187847957350334691201679922930326916354380873320000173066396168879412979363563056188996759189675528134403854811684564072824278288706958834508282366221815680519710368867954134630299868581686383449131505586596420928549396189730000231570317108912729971338699078350392831539647184964037985119425657716511158214247166286901778069139604905188548667209239732790876492149280291802871629523907057781936426239441873496743911633751339015213189723339253495159373523274440598164630502211242581073635193786358162272161326663676450578396355782502898285880768144601015195955372267998000088080860828725433306451553582613969814083274063070363081779072439282513690494154062311164623817592222939929814536042681318352819832596940643005552420944810301912958072920413844979683622085694835984349899633069684340102109988109379148651302794345095385804507171584919214360783567398632931185833702460978088921116228117389551324716944100130050546017353175219703829658351821936104705377638515355686668806496894394068274705548783440783251595743401942894602752341348469620410767265558608422427251325930807797280000305249506174972413505227870306702977642387229383174824381166794685686137974328955851263143038355144528453585212574676329534555190517867355823309964915026028892166187144706362874300447958277675642510595900449862670164352600144265118046018291750590555689851711148391991555844}
23189  41251491858403813630362116231449944096063969747970099420941228789856545849346: {23189,903747,1274515,1320519,1529418,1969195,2270954,2363034,2803207,2985447,3244220,3728599,3893064,4216394,4379697,4634600,4744315,4840231,5118139,5213925,5326570,5561520,5693178,5932288,6023420,6129715,6256710,6391884,6673824,7135436,7228104,7355658,7508052,7744195,8131617,8661466,8785479,9293034,10193480,10846659,11197195,11409499,11467665,11886715,11958727,11988074,12232176,12242647,12320588,13035115,13312947,13420519,13436634,13761198,14264058,14641195,15099715,15362247,15511507,15642138,15655484,16122307,16318267,17027745,17125820,17569434,17600840,17730739,18076195,18119658,18162928,18653258,18762115,19172170,19219195,19453171,19800945,19904515,20073031,20271125,20433294,20550984,20817715,21121008,21691434,21958315,22047368,22514538,23006604,23063034,23119857,23278819,23311810,23761134,23885418,24236515,24325350,24627427,24803289,24981258,25601515,25860458,25931559,25947040,26349978,26493896,26711659,27154567,27646315,27947379,27974172,28665859,28822759,28826899,28958750,29083818,29190420,29381707,29527725,29805633,30005866,30141115,30440396,30721818,31136448,31160551,31496240,31567052,31726195,32404915,32522186,33163239,33175578,33879547,34722787,34750500,34899644,35028504,35116195,35206346,35226631,35433270,35595559,35793115,36169338,36408199,37067200,37150599,37744531,37795488,37821715,38071434,38247847,38383639,38885898,39029971,39407067,39483836,39612907,39757267,40453964,40862131,40988234,41032459,41175370,41511747,41656834,41700600,41869195,41906919,41949079,42033585,42139434,42248071,42271207,42519924,42542515,42735739,42951738,43485447,43486280,43763852,44256849,44296339,44480640,44603299,44835824,44837786,45046267,45204346,45232195,45297139,45386058,45679915,46683079,46887079,46913175,47446016,48683306,48875179,48922065,49255915,49315292,49374147,49410444,49503379,49764999,49790167,49978954,50040720,50243034,50294780,50371315,50440302,50814487,51051018,51094988,51312307,51733747,51931195,52183536,52524794,52599115,52686725,52878571,53044195,53376768,54278634,54636247,54815898,54833770,54972226,55267195,55760986,56295810,56405480,56748199,57334618,57344071,57740587,57803899,58197596,58554620,58571719,58706478,59060936,59080647,59094907,59107098,59546251,59914747,60048864,60353736,60445578,60621159,60633787,60805987,61249315,61784138,61912195,62317434,62413505,62687996,63118938,63224070,63403507,63456165,63653034,63678115,64053980,64351810,64560115,64797667,64876219,65151514,65172451,65800524,65969612,66173227,66320634,66367299,66443553,67296919,67439008,67539811,67554972,67686576,67897953,68285767,68639767,68652147,68871259,69032199,69120716,69180115,69439546,69494347,69547580,69619195,69779347,69843106,69967699,70265544,70513639,70550247,71128810,71265259,71533459,72191467,72250315,72391304,72442947,72469315,72564379,72988519,72992840,73320667,73499178,73563715,73617319,74294634,74330247,74896206,75035420,75266750,75330465,75482506,75749515,75868884,75946459,76147398,76378568,76413738,76840915,76864776,76987927,77222172,77235367,77472138,77717659,77988967,78802915,78879259,79044778,79048737,79716307,79852759,80105779,80310151,80352496,81440217,82116945,82197939,82311847,82361107,83016138,83368315,83456648,83457096,83543034,83903194,84142291,84235915,85039706,85354572,85632919,85925889,85987939,86238247,86472873,86700378,86963178,87020679,87487171,87549418,87591408,87683804,88123258,88132195,88239139,88276458,88385276,88584994,89023546,89141479,89162150,89230747,89317099,89554280,89667788,89679125,89953159,90042504,90067579,90320100,90396558,90899418,91168039,91440039,91489147,92088007,92209098,92797651,93272259,93512647,93888729,93889233,93955394,94201939,94368999,94563498,95072266,95099079,95510378,96076988,96326059,96341440,96430699,96539659,96594151,97358156,97520618,97770187,97803907,97816195,98056810,98244715,98540334,98658609,98743880,98953159,99306499,99430531,99859867,...,9358531876008376425517480583317071299699996582014924265406794376603031347203291862226839372763345073202043175067463301856168058434950472674186027334604418938124326456326628890181598519138285238097370048624176407362709253015439724835495496362937868672772499510616662355509949930401853237015939354549275667493873228515809102697493746568475460768115255589483519397287656291972863855172427150045522116713286794222554909938787282252459116083160808885673953914836559390849756308255525032886740993399507664186642120021094866416713529653900025747262134008519872524800739123443354869169600057801233513379603655725742733336232111183879204223414319020350700445665922266356626646625734355155108413974726249314578140383514641753260103987857463534491744476308947882705534749136722666597293140129606591769605359619057634223913587231361883789946409693928203400245623975488264129360800761186872741501032343964956039269222446520432909339188012588332622259756078501633418905738304915226688302191237746530668873246206987218643885192878666835327884382273901862880766217548645295109191908101122065466965304287647864417053988642706384432319256427530574343085799153282850397801981759783707758551189406666814615005341807138693409546584880170070760343917175694428645104883852899968306438191711367085660304196068029740900025772980427842411785616228961116738822054700787368415238722636983084461275098114902605692316701655978756862022681931853099229096130032324241976420867632536582067586117108908564360235455858716275866409996336566232883495250048051331320843815530773566676221951929966432483197273864073790440959086774722607135601479352602998263211793544151179965963136939831710064078282057715360447667409585569908682814492107346698250698181206807373089805954972925238138023035637717219825612384513711171680680255408349382765162538638015037928034589192442289633512912469199305034666571554880603849263153843166627105941417624193228085748480611483645576979064134453523860001843654095002787499389204520404557804601725068251815640267105821315982637546589620705794083150335150045917710745485895222646236063514408193802458977290821250261910777488834686249614029757755176065018212234947995495163283711257185294046164338608738583600951900000500989080815896302227980442493839629004612924194465386896266121740639668420272187985695222709456013767772769631378880785449788851781771936025502036802519884395490374531571309980000259599594253319119469045344584283495138784513292201605782217526846109236417433060438251762423549332723520779565553301931201945449802872529575173697258379894631392824094284595000347355475663369094957008048617525589247309470777446056977679138486574766737321370749430352667103709407357782823000813859599186314738223920437704307444285860586672904639359162810245115867450627008522819784585008880242739060284911660897246945753316863871610452790679537243408241989995514675867594533673754347428821152216901522793933058401997000132121291243088149959677330373920954721124911094605544622668608658923770535741231093466746935726388334409894721804064021977529229748895410964508328631417215452869437109380620767469525433128542253976524849449604526510153164982164068722976954191517643078706760757377378821541175351097949396778750553691467133381674342176084326987075416150195075819026029762829555744487527732904157058066457773033530003209745341591102412058323175161174877393615102914341904128512022704430616150898337912633640876988896211695920000457874259262458620257841805460054466463580844074762236571750192028529206961493433776894714557532716792680377818862014494301832785776801033734964947372539043338249280717059544311450671937416513463765893850674794005246528900216397677069027437625885833534777566722587987333766}
23190  41398997907779564563396980614252836156210426542051250619693485174616634007183: {393941,532841,717929,1087721,1204996,1343222,1364729,1687541,1760692,2039224,2294127,2377961,2515829,2929001,3020729,3150712,3158261,3282614,3406431,3433109,3478889,3544551,3753401,3980596,3981941,4055275,4111622,4118969,4529621,4663574,4866330,4939334,5190752,5212601,5258069,5793250,5839596,6040934,6165749,6324591,6482681,6865622,6951900,7160501,7415360,7529275,7566329,7590904,7689014,7701461,7989855,8342280,8510741,8522512,8539767,8645369,8735081,8898432,8919295,9035130,9385065,9585749,9587826,9637472,9807544,9987689,10010736,10210709,10424294,10522601,10703154,10842156,11033487,11145209,11262078,11322809,11514374,11713972,11810549,12385721,12390712,12741850,12871349,12873734,12915449,12992199,13047701,13927541,13939551,13971449,14229494,14453909,14462212,14500214,14585321,14847929,15290220,15400735,15892562,15939029,16309568,16678121,16981781,17750596,17915512,17982111,18106229,18275174,18348264,18364949,18408041,18480882,19018744,19080422,19291447,19569355,19697081,19782761,20154951,20210681,20296169,20419622,20467049,20482996,20641797,20856184,20954294,21221414,21396087,21407275,21755222,22001050,22126421,22288454,22592249,22703660,22845929,22888181,23087222,23182159,23425912,23463207,23478869,23483226,24159544,24236021,24655541,24781241,25366889,25408661,25617401,25688730,25740422,26117561,26242421,26354151,26401260,26658101,26990069,27179487,27244392,27401312,27559210,27852614,27979887,28024169,28161344,28395221,28758255,28847849,28921912,29012201,29168054,29954741,30019384,30479894,30649941,30675472,30750712,30826476,30974441,31177781,31299689,31543289,31583861,31681512,31847224,32310422,32312789,32433800,32537151,33071052,33117370,33308344,33401321,33771807,34123769,34509906,34563989,34575412,34594551,34803701,34963349,34967715,35083001,35133304,35641701,35691254,35828127,35878841,35918549,36473621,36488025,36513209,36711029,36726614,36987641,37263172,37298896,37471887,37501622,38050495,38168681,38286389,38717369,38778424,38790687,38920560,39231346,39304934,39370300,39458815,39524967,39740844,39810041,39887849,39926741,40004501,40586681,40588694,40702901,40962424,41357222,41515264,41868854,41961258,41976569,42322421,42360809,42437561,42590969,42897401,43438125,43624555,43625727,43699349,43785630,43965881,44079989,44217652,44234104,44838869,44876729,45008799,45660594,45687734,45782969,46082727,46309481,46334000,46704672,46984121,47133689,47244360,47350578,47469749,47805161,47916821,48225784,48251369,48467654,48659381,48783279,48807509,48971222,49354795,49534132,49546229,49583081,49763367,50208341,50393984,50567455,50575061,50648309,50729174,50758121,50761912,50977529,51233141,51678319,51847864,52125750,52349466,52542756,52613909,52650089,52809519,53149905,53155769,53372009,54254007,54357850,54377321,54556181,54704815,55020281,55217222,55348996,55447481,55518569,55554101,55600800,55875892,55960694,56044780,56185912,56192309,56693232,56933609,57039221,57107151,57109589,57196934,57268984,57671381,57741461,57846521,57980596,58091381,58328847,58893161,59009132,59225754,59307520,59658614,59828981,60070649,60514744,60680946,61273109,61482351,61614869,61644115,61717241,61763055,61989881,62091989,62485251,62550900,62601449,62868475,63080774,63209151,63342391,63412841,63446549,63779886,63868735,64253141,64427607,64454069,64538774,64855061,65155049,65229420,65620409,65645778,65653589,65832196,65880592,66018041,66117269,66353332,66414521,66720960,66809849,66831247,66990712,67105589,67253736,67256679,67498901,67806519,67920614,68068024,68079087,68314601,68769209,69121574,69383669,69578048,69840422,70219829,70308434,70412021,70506850,70635881,70731701,71018729,71114261,71169024,71463929,71751014,72128789,72371512,72412649,72538601,72632981,72746995,72940454,73024567,73024959,73072469,73087864,73166441,73193275,73197749,73728761,73826170,73889414,73972938,74115666,74938229,74968431,75061080,75061589,75364551,75442170,75492341,75584441,75660453,75707129,76117327,76487174,76576527,76642482,76866281,77169401,77427494,77501909,77532089,78275304,78359995,78433769,78774196,78787191,78809464,78833654,78852089,79060661,79149929,79417301,79768214,79920569,80009141,80065152,80067475,80215529,80392121,80471648,80594104,80803049,80828212,80832341,81417951,82223847,82227079,82250655,82458339,82462015,82632821,83089912,83264309,83350121,83641479,84158584,84298760,84374249,84443715,84608220,84636854,84870712,85472021,85555961,86001927,86030261,86197109,86224889,86245622,86400895,86529941,86934475,86948251,87296394,87302069,87356981,87603689,87734032,87831930,87847334,88059717,88075574,88122389,88176821,88427512,88489732,88531622,88591404,88660647,89097269,89312501,89473589,89661161,89669222,90061781,90073296,90115061,90248768,90380981,90489130,90513641,90530604,90593141,90668367,90936809,91068629,91226549,91241050,91536196,91724729,92042932,92271989,92427701,92610134,92676207,92867321,93476151,93663029,93687392,93794275,93943529,93968981,94031994,94066996,94324469,94552169,94577429,94678407,94836105,94855814,94930229,95456489,95473210,95479551,96053609,96080970,96152681,96419222,96527715,96572309,96590596,96596921,97014101,97087481,97380281,97474034,97531622,97550549,97671929,97727271,97998904,98059001,98275829,98396009,98700786,98954418,98970089,99059512,99082934,99106996,99112889,99480951,99610421,99704789,99745622,99861608,...,14037797814012564638276220874975606949549994873022386398110191564904547020804937793340259059145017609803064762601194952784252087652425709011279041001906628407186489684489943335272397778707427857146055072936264611044063879523159587253243244544406803009158749265924993533264924895602779855523909031823913501240809842773713654046240619852713191152172883384225279095931484437959295782758640725068283175069930191333832364908180923378688674124741213328510930872254839086274634462383287549330111490099261496279963180031642299625070294480850038620893201012779808787201108685165032303754400086701850270069405483588614100004348166775818806335121478530526050668498883399534939969938601532732662620962089373971867210575271962629890155981786195301737616714463421824058302123705083999895939710194409887654408039428586451335870380847042825684919614540892305100368435963232396194041201141780309112251548515947434058903833669780649364008782018882498933389634117752450128358607457372840032453286856619796003309869310480827965827789318000252991826573410852794321149326322967942663787862151683098200447956431471796625580982964059576648478884641295861514628698729924275596702972639675561637826784110000221922508012710708040114319877320255106140515875763541642967657325779349952459657287567050628490456294102044611350038659470641763617678424343441675108233082051181052622858083955474626691912647172353908538475052483968135293034022897779648843644195048486362964631301448804873101379175663362846540353183788074413799614994504849349325242875072076996981265723296160350014332927894949648724795910796110685661438630162083910703402219028904497394817690316226769948944705409747565096117423086573040671501114378354863024221738161020047376047271810211059634708932459387857207034553456575829738418576770566757521020383112524074147743807957022556892051883788663434450269368703798957551999857332320905773894730764749940658912126436289842128622720917225468365468596201680285790002765481142504181249083806780606836706902587602377723460400658731973973956319884431058691124725502725068876566118228842833969354095271612290703688465936231875392866166233252029374421044636632764097527318352421993242744925566885777941069246507913107875401427850000751483621223844453341970663740759443506919386291698080344399182610959502630408281978542834064184020651659154447068321178174683277672657904038253055203779826593235561797356964970000389399391379978679203568016876425242708176769938302408673326290269163854626149590657377643635323999085281169348329952896802918174704308794362760545887569841947089236141426892500521033213495053642435512072926288383870964206166169085466518707729862150105982056124145529000655564111036674234501220789398779472107335880656556461166428790880009356959038744215367673801175940512784229676877513320364108590427367491345870418629975295807415679186019305865112362984993272013801391800510631521143231728325352284190899587602995500198181936864632224939515995560881432081687366641908316934002912988385655803611846640200120403589582501614842082706096032966293844623343116446762492947125823179304155664070931151204288149692813380964787274174406789765229747473246103084465431287276464618060141136066068232311763026646924095168125830537200700072511513264126490480613124225292613728539044644244333616731291599356235587099686659550295004814618012386653618087484762741762316090422654371512856192768034056645924226347506868950461315483344317543880000686811388893687930386762708190081699695371266112143354857625288042793810442240150665342071836299075189020566728293021741452749178665201550602447421058808565007373921075589316467176007906124770195648840776012191007869793350324596515603541156438828750302166350083881981000649}
23191  41547027942277156577797076962302471904607666079399593787591710202938325936477: {46378,1506245,1784321,1807494,2014833,2200865,2549030,2641038,2756873,3058836,3312881,3938390,4541908,4726068,4923921,4975745,5606414,5720273,5970894,6167433,6488440,6642041,6995361,7299495,7409001,7457198,7786128,8432788,8581601,8689875,8759394,9061401,9269200,9419201,9488630,9680462,10236278,10298433,10427850,10653140,10841873,11123040,11386356,11533521,11864576,12046840,12196361,12259430,12513420,12751793,12783768,13347648,13552695,14133041,14270872,14381739,14456208,14642465,14711316,15016104,15488390,15636441,15676073,16054731,16263234,16641401,16893117,16908761,17271561,17322932,17570958,18019049,18077765,18249161,18331781,18586068,19112775,19310601,19684481,20386960,20497673,20794769,21139601,21344241,21693318,21750321,22188245,22394390,22818998,22935330,23722673,23773430,23838843,23917454,23976148,24464352,24485294,24641176,25306673,25603745,26070230,26266961,26625894,26841038,26873268,26906873,27412761,27522396,27662129,27721323,27866321,28379575,28528116,28620633,29105141,29144801,29282390,30199430,30629433,30724494,30741641,30814961,31023014,31284276,31310968,31431441,31647173,31832121,32038313,32091761,32205041,32244614,32632833,32636534,33001575,33432681,33931121,34055490,34251640,34630833,35138868,35201680,35224839,35229689,35461478,35842121,36152390,36239316,36325856,37306516,37524230,38251169,38344340,38438390,38533095,38610633,38704841,38906342,39601890,39809030,40146062,40397321,40542250,40866588,41036021,41101968,41269481,41338815,41631473,41635430,41778921,42197561,42242016,43219265,43382868,43680209,43752081,43916630,44094736,44273249,44416673,44607173,45029076,45202001,45366881,45719841,46013208,46126068,46239714,46557638,46578965,46623620,46985861,47522268,47763473,47770836,48465633,48473030,48650700,49162673,49212875,49254854,49507673,49606578,49676055,49956881,49962516,50110361,51203030,51471401,51720916,51764859,51863118,51894080,52245881,52699956,52950401,52987792,53423318,53536881,54309134,55089921,55272065,55292630,55894758,55948344,56252433,56525369,57232673,57331718,57349049,57645518,57653798,57808913,57917500,58167636,58380840,58616873,58763414,58847019,58957401,59055450,59559521,59611266,60011732,60282230,60557201,60880792,60883041,61432373,61443636,61917665,62035833,62272896,62321102,62341781,62803281,62941887,62992480,63134104,63325073,63452390,63652889,63763481,63951881,64809830,65044372,65678445,66047249,66326478,66351156,66496361,67302761,67759094,68490891,68531601,68877233,68958281,69186245,69350441,69445574,69501000,69799288,69844865,70055975,70057008,70232390,70412692,70453262,70519841,70749461,70851041,70866540,71025867,71191118,71586230,71861621,72197729,72338676,72475745,72701481,72703673,72816398,72870533,73456833,73621001,73623713,73638761,73761415,74134400,74261873,74301198,74726969,75489062,75590976,75643430,76093761,76142868,76466801,76495694,76579061,76767278,77374073,77771796,78059942,78188625,78199193,78524199,78814134,78967672,79156601,79225814,79514534,79938041,80701361,80907928,81536775,81724262,81925121,81976468,82064918,82290245,82350740,82368281,82466501,82751573,82825833,82941665,83023494,83032529,83092721,83313668,83401200,83738390,83813838,83898158,83941041,84067170,84278868,84496142,84542414,85039848,85085030,85471478,85749041,85795401,85903476,86149061,86677073,86860913,86970894,86972560,87378907,87527704,88246793,88513698,88592678,88838631,88961280,89149361,89206598,89487921,89671648,89675572,90092534,90384161,90408692,90464390,90594278,90772116,91021419,91278161,91359830,91681781,92050649,93366158,93520769,93577121,93774158,93826350,94210181,94258481,94621161,94892032,95669829,96334421,96548033,96808161,96852161,97366612,97466873,97750358,97844130,98467745,98468667,98511830,98630584,98748294,98820888,99006758,99197489,99315113,99493361,99529998,99580334,99824993,99868529,99957908,...,18717063752016752851034961166634142599399993164029848530813588753206062694406583724453678745526690146404086350134926603712336116869900945348372054669208837876248652912653257780363197038276570476194740097248352814725418506030879449670990992725875737345544999021233324711019899860803706474031878709098551334987746457031618205394987493136950921536230511178967038794575312583945727710344854300091044233426573588445109819877574564504918232166321617771347907829673118781699512616511050065773481986799015328373284240042189732833427059307800051494524268017039745049601478246886709738339200115602467026759207311451485466672464222367758408446828638040701400891331844532713253293251468710310216827949452498629156280767029283506520207975714927068983488952617895765411069498273445333194586280259213183539210719238115268447827174462723767579892819387856406800491247950976528258721601522373745483002064687929912078538444893040865818678376025176665244519512157003266837811476609830453376604382475493061337746492413974437287770385757333670655768764547803725761532435097290590218383816202244130933930608575295728834107977285412768864638512855061148686171598306565700795603963519567415517102378813333629230010683614277386819093169760340141520687834351388857290209767705799936612876383422734171320608392136059481800051545960855684823571232457922233477644109401574736830477445273966168922550196229805211384633403311957513724045363863706198458192260064648483952841735265073164135172234217817128720470911717432551732819992673132465766990500096102662641687631061547133352443903859932864966394547728147580881918173549445214271202958705205996526423587088302359931926273879663420128156564115430720895334819171139817365628984214693396501396362413614746179611909945850476276046071275434439651224769027422343361360510816698765530325077276030075856069178384884579267025824938398610069333143109761207698526307686333254211882835248386456171496961222967291153958128268907047720003687308190005574998778409040809115609203450136503631280534211642631965275093179241411588166300670300091835421490971790445292472127028816387604917954581642500523821554977669372499228059515510352130036424469895990990326567422514370588092328677217477167201903800001001978161631792604455960884987679258009225848388930773792532243481279336840544375971390445418912027535545539262757761570899577703563543872051004073605039768790980749063142619960000519199188506638238938090689168566990277569026584403211564435053692218472834866120876503524847098665447041559131106603862403890899605745059150347394516759789262785648188569190000694710951326738189914016097235051178494618941554892113955358276973149533474642741498860705334207418814715565646001627719198372629476447840875408614888571721173345809278718325620490231734901254017045639569170017760485478120569823321794493891506633727743220905581359074486816483979991029351735189067347508694857642304433803045587866116803994000264242582486176299919354660747841909442249822189211089245337217317847541071482462186933493871452776668819789443608128043955058459497790821929016657262834430905738874218761241534939050866257084507953049698899209053020306329964328137445953908383035286157413521514754757643082350702195898793557501107382934266763348684352168653974150832300390151638052059525659111488975055465808314116132915546067060006419490683182204824116646350322349754787230205828683808257024045408861232301796675825267281753977792423391840000915748518524917240515683610920108932927161688149524473143500384057058413922986867553789429115065433585360755637724028988603665571553602067469929894745078086676498561434119088622901343874833026927531787701349588010493057800432795354138054875251771667069555133445175974667532}
23192  41695583811013732864081371302752758473077098290602450948828364120346165722686: {69567,440287,787882,1065682,1410991,1435858,2175442,2409992,2686444,2711241,2729458,3204367,3375082,3479191,3521384,3753727,3823545,3961557,4078448,4164991,4575607,4588254,4755922,5031658,5258527,5677385,5858002,5907585,6041458,6211591,6301424,6316522,6565228,6812862,6866218,6957778,7089102,7506802,7566991,7961192,7963882,8110550,8223244,8237938,8409621,8956341,9059242,9318247,9327148,9732660,9878668,10381504,10425202,10516138,10540985,11185797,11586500,11679192,11855887,12081868,12254191,12331498,12487013,12649182,12916591,12965362,13139091,13316425,13731244,13903800,13972687,14232945,14321002,14499007,14520693,14830720,14892991,15058550,15132658,15181808,15354417,15378028,15402922,15548191,15641775,15940447,15979710,16592767,16684560,16853191,17021482,17045024,17079534,17290738,17470162,17796864,17838590,18070260,18150991,18389145,18409687,18770130,19171498,19175652,19274944,19615088,19975378,20021472,20421418,20468887,20848588,21045202,21406308,21561029,21653665,21684312,22066974,22290418,22524156,22636591,22645618,22890247,23016967,23028748,23232585,23427944,23523127,23621098,23649487,24394851,24771442,24781424,24909127,25410967,25483700,25742698,25747468,25830898,25984398,26095402,26356437,26411191,27033991,27397097,27406807,27855082,27879102,27942898,28458988,28891591,28907818,28924424,29000428,29170642,29695858,29970185,30580440,30801470,30824629,31586767,31785124,31878058,32539977,32619136,33162991,33356242,33404407,33591585,33963562,34126927,34228497,34402995,35501192,35660145,35802727,35831024,35876181,35921887,35964222,36212458,36397807,36516607,36550348,36696528,36727941,36729898,36816082,36961764,37700647,38037488,38160844,38525191,38582894,39105345,39138710,39394162,39565522,39930487,39938841,40047127,40261557,40309902,40421362,40592338,40839244,40934098,40965992,41283594,41712368,41908588,42364807,42442828,42792174,42814550,42939727,43398367,43510444,43923585,44002100,44252842,44576908,44880991,45184498,45299145,45407320,45447991,45691858,45776362,45787327,46086741,46174444,46364318,46534521,46633145,46851824,46926414,46957738,46966452,47921407,47930425,48319088,48366921,48472042,48954801,49311082,49562482,49587847,50733778,50817322,51083235,51234802,51238087,51377460,51480844,52235122,52484842,52655191,52708302,52802520,53192217,53270693,53316202,53413207,53980138,54228585,54358974,54488784,54597247,54802624,54811591,55025647,55118420,55242341,55559527,55705228,55959774,56048338,56197807,56286345,56322688,56790442,57150367,57516510,57657585,57677047,57695698,57843824,57992191,58024402,58279525,58336108,58359513,59402835,59713545,59909482,60038768,60219093,60813375,60902287,60959788,61074377,61299882,61350944,61416007,61501424,61652952,61927927,61948882,62355562,62453145,62599378,62641591,63086578,63167722,63351727,63363024,63452887,63654991,63694448,64460527,64620844,64625578,64651145,64867600,65074302,65660191,65874945,66142104,66156991,66234740,66616688,66802642,66849487,67145191,67543614,67832647,68247538,69019812,69096713,69099991,69127978,69150824,69189102,69359571,69607402,69836457,69926698,69935430,70166002,70259047,70266608,70794437,71283402,71382508,71656254,71757682,71837098,71978191,72262447,72396875,72709545,72947242,72976050,73026418,73205287,73422058,73453228,73882281,73975282,74409867,74526344,74597792,74943774,75003244,75014665,75530887,75898807,76100990,76337362,76572778,76586741,76804545,77434738,77540191,77556848,77581374,77794677,77841120,78441991,78462692,78609868,78740600,78917630,79049934,79481688,79620082,79775698,79853482,80009002,80047087,80134977,80840887,81173362,81177388,81305465,81405802,81463701,81924848,82714444,82938945,83030528,83737708,83842137,83922516,83953138,84298327,84644842,84721618,84875122,85181938,85794802,85997577,86067367,86234191,86301761,86468277,86480697,86876250,87249110,87251454,87398698,87571260,87722647,87931762,88015865,88145121,88159978,88435304,88458127,88468208,88583175,89416229,89416899,89670967,89677738,89753458,89956841,90017598,90423345,90550087,90867607,91104991,91262887,91321188,91375468,91565938,91734847,91900853,92165454,92618962,92668000,93289327,93409344,93481653,93968242,93979447,94267378,94488720,94587991,94701156,94939498,95178585,95610322,95833642,96451568,96459991,96502738,96607807,96935308,97049527,97177457,97214745,97318762,97566558,97615018,97942444,98142487,98709590,98790487,99005191,99068264,99092458,99147967,99166162,99489717,99503647,99526734,99716191,...,28075595628025129276552441749951213899099989746044772796220383129809094041609875586680518118290035219606129525202389905568504175304851418022558082003813256814372979368979886670544795557414855714292110145872529222088127759046319174506486489088813606018317498531849987066529849791205559711047818063647827002481619685547427308092481239705426382304345766768450558191862968875918591565517281450136566350139860382667664729816361846757377348249482426657021861744509678172549268924766575098660222980198522992559926360063284599250140588961700077241786402025559617574402217370330064607508800173403700540138810967177228200008696333551637612670242957061052101336997766799069879939877203065465325241924178747943734421150543925259780311963572390603475233428926843648116604247410167999791879420388819775308816078857172902671740761694085651369839229081784610200736871926464792388082402283560618224503097031894868117807667339561298728017564037764997866779268235504900256717214914745680064906573713239592006619738620961655931655578636000505983653146821705588642298652645935885327575724303366196400895912862943593251161965928119153296957769282591723029257397459848551193405945279351123275653568220000443845016025421416080228639754640510212281031751527083285935314651558699904919314575134101256980912588204089222700077318941283527235356848686883350216466164102362105245716167910949253383825294344707817076950104967936270586068045795559297687288390096972725929262602897609746202758351326725693080706367576148827599229989009698698650485750144153993962531446592320700028665855789899297449591821592221371322877260324167821406804438057808994789635380632453539897889410819495130192234846173146081343002228756709726048443476322040094752094543620422119269417864918775714414069106913151659476837153541133515042040766225048148295487615914045113784103767577326868900538737407597915103999714664641811547789461529499881317824252872579684257245441834450936730937192403360571580005530962285008362498167613561213673413805175204755446920801317463947947912639768862117382249451005450137753132236457685667938708190543224581407376931872463750785732332466504058748842089273265528195054636704843986485489851133771555882138493015826215750802855700001502967242447688906683941327481518887013838772583396160688798365221919005260816563957085668128368041303318308894136642356349366555345315808076506110407559653186471123594713929940000778798782759957358407136033752850485416353539876604817346652580538327709252299181314755287270647998170562338696659905793605836349408617588725521091775139683894178472282853785001042066426990107284871024145852576767741928412332338170933037415459724300211964112248291058001311128222073348469002441578797558944214671761313112922332857581760018713918077488430735347602351881025568459353755026640728217180854734982691740837259950591614831358372038611730224725969986544027602783601021263042286463456650704568381799175205991000396363873729264449879031991121762864163374733283816633868005825976771311607223693280400240807179165003229684165412192065932587689246686232893524985894251646358608311328141862302408576299385626761929574548348813579530459494946492206168930862574552929236120282272132136464623526053293848190336251661074401400145023026528252980961226248450585227457078089288488667233462583198712471174199373319100590009629236024773307236174969525483524632180845308743025712385536068113291848452695013737900922630966688635087760001373622777787375860773525416380163399390742532224286709715250576085587620884480301330684143672598150378041133456586043482905498357330403101204894842117617130014747842151178632934352015812249540391297681552024382015739586700649193031207082312877657500604332700167763962001298}
23193  41844667369588954666079054550630804376901149434514015946902161822393792069822: {92756,1181823,1598523,2108743,2153787,3012490,3081211,3263163,3358055,3568642,3614988,3915223,4029666,4094187,4401730,5062623,5098060,5282076,5513746,5859227,6117672,6625762,6692951,6882381,6966043,7133883,7547487,7876780,8206535,8787003,9062187,9083816,9452136,9474783,9847842,9951490,10219293,10279055,10299327,10436667,10633653,11131783,11212828,11260203,11440546,11658935,11941788,11945823,12165825,12334866,12348335,12356907,12976880,13284082,13588863,13631227,13990722,14483125,14598990,14818002,14914396,15102335,15572256,15637803,15774207,16865576,17163202,17164055,17379750,17518788,18122802,18497247,18538400,18838402,18898027,18973773,18977260,19222535,19360924,19448043,20472556,20499451,20596866,20855700,21089387,21306280,21481503,21683746,22228891,22246080,22587825,22698987,22772712,23067042,23104383,23186351,23729152,23969565,24093680,24392722,24518860,25026840,25308871,25503586,25532223,25567536,25619301,25642991,25936107,26060735,26205243,26695296,26757885,27105390,28155195,28179623,28266082,28541744,28757247,28763478,28785935,28912416,29284930,29422632,29963067,30032208,30632127,30976780,31063543,31272882,31352146,31508471,31567803,31854625,32109462,32184335,32526468,32691607,33100461,33282802,33435627,33786234,33817522,33968427,34543122,34645864,34930631,35141916,35431647,35573735,35845243,36038098,36155530,36250535,36498322,36663562,37157163,37172136,37720667,38060503,38225550,38614047,38621202,38746347,38976597,39143103,39368962,39731405,40773920,40995346,41589538,41635087,41782623,41818653,41914347,42279202,42688482,43361727,43386636,43500642,43755963,44073083,44304023,44376490,44543787,44788780,45149947,45205927,45292907,45637996,45687935,45870660,46202205,47246807,47445346,47546860,47677686,47701055,47817087,47834908,47952296,48773023,48928704,48970588,49282352,50034363,50194127,50613346,50945343,51025691,51049055,51207490,52140460,52385735,52533922,53053535,53251788,53657831,53682076,53746536,53813746,53946333,54318687,54388055,54825522,55002625,55044792,55094847,55224123,55324258,55442646,55555967,55721135,55732642,56758043,56759150,57056232,57241266,57718055,57874341,58210282,58289602,58327391,58564780,58708065,59091243,59348283,59925143,60317147,60398860,60464853,60506971,60632043,60888507,61258866,61401147,61448988,61483282,61629922,61925391,62046028,62568552,62621936,62862882,63294346,63664242,64020251,64076626,64183522,64188261,64221825,64351055,64410082,64489228,64851383,65210551,65265666,65273068,66003150,66379263,66865362,67188791,67551527,67651823,67776747,67862242,68110980,68503280,68537787,68659711,68664543,68898025,69261666,69416507,69546477,69631535,70277736,70389621,70403360,70436607,70449678,70459378,70786991,70922956,71265067,71545871,71684242,72174287,72304780,72478632,72651712,72708063,72920135,73627387,73966623,74343723,74613032,75048460,76100667,76199735,76225983,76502338,76688680,76852203,76876780,77066190,77221266,77380891,77409682,77812684,77896087,78241691,78352683,78372187,78727263,78892967,79062453,79072927,79203780,79618060,79974303,80292124,80776055,80794642,80970207,81084500,81538461,81733176,82072042,82203936,82538962,82677630,82758751,82793425,83262946,83270860,83557842,83939661,84072507,84156887,84395122,84484032,85185663,85847191,86274765,86438530,86543547,86684731,86765736,87036603,87360418,87504162,87833260,87854983,88189472,88354523,88546498,88833346,89214346,89228135,89864223,89968763,90058152,90404002,90733762,90877223,91439682,91486271,91816535,91949823,92026416,92058667,92252136,92479428,92923323,93115276,93157930,93193031,93247240,93533343,93754055,93899067,93971722,94629867,94751583,95044536,95526946,95541672,96154063,96447431,96610907,96860743,96931266,96938367,96946060,97301400,97611453,97782811,98078365,98262335,98325346,98425750,98509708,99015346,99213156,99352110,99913762,99925032,...,42113393442037693914828662624926820848649984619067159194330574694713641062414813380020777177435052829409194287803584858352756262957277127033837123005719885221559469053469830005817193336122283571438165218808793833132191638569478761759729733633220409027476247797774980599794774686808339566571727095471740503722429528321140962138721859558139573456518650152675837287794453313877887348275922175204849525209790574001497094724542770136066022374223639985532792616764517258823903387149862647990334470297784488839889540094926898875210883442550115862679603038339426361603326055495096911263200260105550810208216450765842300013044500327456419005364435591578152005496650198604819909815804598197987862886268121915601631725815887889670467945358585905212850143390265472174906371115251999687819130583229662963224118285759354007611142541128477054758843622676915301105307889697188582123603425340927336754645547842302176711501009341948092026346056647496800168902353257350385075822372118520097359860569859388009929607931442483897483367954000758975479720232558382963447978968903827991363586455049294601343869294415389876742948892178729945436653923887584543886096189772826790108917919026684913480352330000665767524038132124120342959631960765318421547627290624928902971977338049857378971862701151885471368882306133834050115978411925290853035273030325025324699246153543157868574251866423880075737941517061725615425157451904405879102068693338946530932585145459088893893904346414619304137526990088539621059551364223241398844983514548047975728625216230990943797169888481050042998783684848946174387732388332056984315890486251732110206657086713492184453070948680309846834116229242695288352269259719122014503343135064589072665214483060142128141815430633178904126797378163571621103660369727489215255730311700272563061149337572222443231423871067670676155651365990303350808106111396872655999571996962717321684192294249821976736379308869526385868162751676405096405788605040857370008296443427512543747251420341820510120707762807133170381201976195921921868959653293176073374176508175206629698354686528501908062285814836872111065397808695626178598498699756088123263133909898292292581955057265979728234776700657333823207739523739323626204283550002254450863671533360025911991222278330520758158875094241033197547832878507891224845935628502192552061954977463341204963534524049833017973712114759165611339479779706685392070894910001168198174139936037610704050629275728124530309814907226019978870807491563878448771972132930905971997255843508044989858690408754524112926383088281637662709525841267708424280677501563099640485160927306536218778865151612892618498507256399556123189586450317946168372436587001966692333110022703503662368196338416322007641969669383499286372640028070877116232646103021403527821538352689030632539961092325771282102474037611255889925887422247037558057917595337088954979816041404175401531894563429695184976056852572698762808986500594545810593896674818547986682644296245062099925724950802008738965156967410835539920600361210768747504844526248118288098898881533870029349340287478841377469537912466992212793453612864449078440142894361822523220369295689242419738309253396293861829393854180423408198204696935289079940772285504377491611602100217534539792379471441839372675877841185617133932733000850193874798068706761299059978650885014443854037159960854262454288225286948271267963114538568578304102169937772679042520606851383946450032952631640002060434166681063791160288124570245099086113798336430064572875864128381431326720451996026215508897225567061700184879065224358247535995604651807342263176425695022121763226767949401528023718374310586946522328036573023609380050973789546810623469316486250906499050251645943001947}
23194  41994280480107577670179864364998959812430806505816089004995610577789118452582: {115945,139134,880574,1575764,2131364,2470309,2608153,2821982,2871716,3021253,3158809,3845509,3982633,4350884,4393573,4518735,4819984,5349913,5352963,5372888,5422482,5458916,5758693,5894809,6044499,6372575,6408734,6602595,6709993,6750164,6958382,7042768,7252009,7507454,7647090,7923114,7948339,8156896,8270619,8329982,8736613,9151214,9176508,9511844,9845975,9938643,10063316,10078693,10517054,10613509,11354770,11413573,11716004,11815170,12082916,12423182,12602848,12608809,12633044,13130456,13625724,13732436,13915556,14016035,14178204,14719273,14757379,14771763,14927235,15013604,15133982,15375013,15922384,15927764,16221100,16446488,16475876,16819242,17071513,17160819,17850409,17912682,18118484,18497509,18502299,18636494,18642995,18654296,19465320,19757336,19786309,19926123,20299813,20763008,20850404,20986083,21032276,21067909,21081970,21898485,22227003,22371594,23173000,23358384,23483113,23711774,23721575,24163736,24201155,24366373,24508382,24662996,24974026,25298364,25590695,25622053,25744803,25833182,25930724,25997353,26069625,26278182,26632850,26746009,27184203,27462488,27807600,27945374,28111813,28257603,28465890,28482793,28642004,28998014,29041386,29661440,29785982,29960233,30117100,30265316,30315131,30363616,30648575,30708834,30756056,30805844,30895299,31061509,31096382,31283550,31880894,31959420,32156953,32399593,32525619,32763013,33185534,33369120,33706382,34042964,34090048,34159068,34210213,34581476,34600563,34690309,34940324,35288809,35593728,35677180,36140520,36301982,36429107,36589083,36778290,36819374,37540260,38254309,38255379,38342996,38351304,38549888,38720975,38724613,39230176,39427909,39895333,39950756,40012009,40042944,40658085,40842836,40937774,41697176,41869033,41958259,42090404,42399123,42445573,42812616,43122058,43145217,43307330,43368624,43927395,44050309,44133948,44580836,45048312,45273182,45291236,45780494,46033934,46057496,46430953,46465170,46855888,46909323,47028219,47046254,47242196,47298974,47553433,48000409,48164193,48789702,49542884,49562848,49818254,49924203,50328133,50658073,50679351,50726283,50767909,50821934,50967400,51316009,51485396,51494936,51661796,51814683,51968796,52190804,52298053,52712874,52822382,54057147,54067982,54233295,54747483,54794194,54813614,54995343,55102309,55529413,55710164,55758204,55885796,55985975,56274073,56917976,57047495,57120793,57338325,57752809,57783182,57815636,57848848,57931803,58000856,58172713,58341284,58800409,59053443,59391716,59433575,59793635,59940370,59944453,60771013,61160880,61213235,61493019,61602940,61649258,62384307,63173534,63418803,63570248,63756116,64031173,64032723,64333033,64934809,65079954,65175575,65238272,65250963,65286403,66325982,66564735,66712484,66808814,67102595,67183170,67927124,68253854,68393509,68456994,68805990,69462313,70810009,70905733,71002384,71168019,71320290,71516529,71605454,71662048,71752362,71843774,71928444,72424916,72795614,73033214,73087513,73100696,73181509,73205975,73393056,73455882,73459796,73632164,73743973,73923528,74024233,75401294,75498575,75920019,76074976,76321688,76811235,76973353,77050382,77165788,77557535,77879833,78210690,78277420,78788324,78800883,79131044,79136809,79860974,79877682,80094254,80523114,80611535,80619804,80720619,80842724,80995813,81184676,81208787,81591335,81678488,81868196,81931984,82238283,82563973,82567188,82650409,82986387,82995433,83163969,83424736,83425093,83596453,83598963,83817176,83852953,84023593,84448933,84729614,84885656,85138725,85584348,85629100,85861899,85879454,86548633,86796734,86797573,87020888,87315423,87375913,87434403,87622693,87847170,88004200,88195993,88505684,88653695,89153816,89761982,90134809,90214693,90368996,90380975,90511603,90598290,90814640,90895982,91009573,91383716,91552724,91574654,91640293,91888299,92173482,92224923,92348888,92444883,92728636,92887909,92965273,93069042,93266290,93703648,93810575,93852828,93915476,93932904,94040809,94294323,94497433,94875973,94941519,95496363,95842814,95860850,95926309,96095975,96114939,96275283,96615123,96638176,96733842,96944084,97265855,97898499,97909602,98622164,99004725,99124964,99175694,99522575,99538043,99845413,99916009,...,56151191256050258553104883499902427798199979492089545592440766259618188083219751173361036236580070439212259050404779811137008350609702836045116164007626513628745958737959773341089591114829711428584220291745058444176255518092638349012972978177627212036634997063699974133059699582411119422095636127295654004963239371094854616184962479410852764608691533536901116383725937751837183131034562900273132700279720765335329459632723693514754696498964853314043723489019356345098537849533150197320445960397045985119852720126569198500281177923400154483572804051119235148804434740660129215017600346807401080277621934354456400017392667103275225340485914122104202673995533598139759879754406130930650483848357495887468842301087850519560623927144781206950466857853687296233208494820335999583758840777639550617632157714345805343481523388171302739678458163569220401473743852929584776164804567121236449006194063789736235615334679122597456035128075529995733558536471009800513434429829491360129813147426479184013239477241923311863311157272001011967306293643411177284597305291871770655151448606732392801791825725887186502323931856238306593915538565183446058514794919697102386811890558702246551307136440000887690032050842832160457279509281020424562063503054166571870629303117399809838629150268202513961825176408178445400154637882567054470713697373766700432932328204724210491432335821898506767650588689415634153900209935872541172136091591118595374576780193945451858525205795219492405516702653451386161412735152297655198459978019397397300971500288307987925062893184641400057331711579798594899183643184442742645754520648335642813608876115617989579270761264907079795778821638990260384469692346292162686004457513419452096886952644080189504189087240844238538835729837551428828138213826303318953674307082267030084081532450096296590975231828090227568207535154653737801077474815195830207999429329283623095578923058999762635648505745159368514490883668901873461874384806721143160011061924570016724996335227122427346827610350409510893841602634927895895825279537724234764498902010900275506264472915371335877416381086449162814753863744927501571464664933008117497684178546531056390109273409687972970979702267543111764276986031652431501605711400003005934484895377813367882654963037774027677545166792321377596730443838010521633127914171336256736082606636617788273284712698733110690631616153012220815119306372942247189427859880001557597565519914716814272067505700970832707079753209634693305161076655418504598362629510574541295996341124677393319811587211672698817235177451042183550279367788356944565707570002084132853980214569742048291705153535483856824664676341866074830919448600423928224496582116002622256444146696938004883157595117888429343522626225844665715163520037427836154976861470695204703762051136918707510053281456434361709469965383481674519901183229662716744077223460449451939973088055205567202042526084572926913301409136763598350411982000792727747458528899758063982243525728326749466567633267736011651953542623214447386560800481614358330006459368330824384131865175378493372465787049971788503292717216622656283724604817152598771253523859149096697627159060918989892984412337861725149105858472240564544264272929247052106587696380672503322148802800290046053056505961922452496901170454914156178576977334466925166397424942348398746638201180019258472049546614472349939050967049264361690617486051424771072136226583696905390027475801845261933377270175520002747245555574751721547050832760326798781485064448573419430501152171175241768960602661368287345196300756082266913172086965810996714660806202409789684235234260029495684302357265868704031624499080782595363104048764031479173401298386062414164625755315001208665400335527924002596}
23195  42144425011202106502379097290203328415226992666456014021623575586798792201517: {185512,208701,1320861,1969705,2363646,2664205,2803933,3197046,3589645,4217486,4232973,4307574,4332229,4701277,5438605,6024980,6162422,6526326,6716110,6823645,6924541,7137284,7229976,7480357,7830446,8059332,8133723,8188374,8437705,8803460,9613101,10125246,10196120,10437493,10437573,10564152,11027492,11261181,11470635,11489149,11718454,11884671,11889805,12235344,12494973,12579145,13251524,13385902,13485373,13726821,13764762,13932086,14267766,14390677,14645005,15094974,15103645,15436381,15753560,15775581,15791305,16322509,16413070,17032155,17037229,17165545,17287669,17394445,17574006,17722755,18124374,18167632,18481669,18634773,18767005,18904272,18949566,19695684,19902980,19909705,20276375,20438586,20558110,20594845,20598654,20873334,21143269,21267306,21812533,22263566,22425656,22520406,22648105,22700973,22881092,23317870,23883576,23891646,23972329,24029677,24331650,24633829,24669732,24696670,24713814,24923821,25228863,25914157,25953760,26063005,26150773,26290345,26568164,26869023,26911549,27177726,27262454,27954741,27981444,28677253,28966250,29197980,29636004,29828792,30204670,30305353,30828745,31021957,31144512,31275606,31548414,31622955,32210629,32413405,33219373,33557391,33681469,33731152,34326404,34328110,34759500,35037576,35068489,35567661,35802505,36245604,36485029,36762573,36994494,37076800,37461039,37646375,37676804,37796054,37831645,37947546,37954520,38060569,38445070,38507305,38721848,38749773,38783221,38896086,39040117,39417273,39767629,39949275,40300309,40945112,40998902,41193732,41276653,41711400,41918061,41966149,42178774,42282229,42553705,42612560,42698835,42963006,43226845,43367492,43497021,43562079,43675405,43789933,44457782,44492160,44596475,44678973,44881357,45058069,45175650,45397974,45545424,45798973,46063251,46134084,46208766,46372702,46644573,46925325,47458304,47821341,47928745,47939130,48187360,48308293,48785444,49037720,49516261,49778301,49803229,49938445,50053680,50425117,50559573,50617742,50750749,51007172,51053545,51064446,51135072,51238602,51285982,51872214,52121470,52410486,52613005,52642621,52892317,53320333,53390592,53515770,53527981,53593933,53662489,54210780,54441157,54452973,55167435,55229061,55623967,55726045,56310390,56323333,56359246,56532164,56614045,57083488,57514494,57526956,57571870,57818941,57824832,58332457,58569860,58845264,59052745,59110309,59387413,59926134,59930341,59970517,60064416,60649549,60821893,61264254,61406661,61443049,61928605,61953560,62127086,62545764,62704292,63016942,63135606,63419989,63709250,63963109,64218924,64356745,64368670,64577245,64683087,64960995,65052936,65189437,65238505,65328229,65383214,66190429,66200922,66310453,66565604,66781477,66871254,67572468,67635044,67909773,67936854,68670741,68889181,69050901,69081433,69086244,69291728,69422533,69637705,69697755,69797629,69857245,69861262,70283832,70466293,70569381,70863294,70948461,71147470,71283901,71290813,71468677,71552077,71690486,72076196,72210253,72269545,72311060,72501070,72682069,72883177,72926605,72996644,73184553,73327124,73340029,74239645,74274949,74314326,74344272,74620873,74727381,75441334,75544681,75610861,76121006,76143277,76232901,76451100,76480069,77003675,77228094,77242404,77255629,77492694,77953194,78009589,78286206,78510613,78737924,78744853,79069311,79233573,79462810,79695145,79951933,80805277,81101973,81547840,81990692,82191291,82220421,83179076,83207773,83270174,83390605,83565246,83637306,83657353,83828694,84558404,84852637,84908905,85376964,86164009,86674773,86723454,86773272,86816173,87001284,87511926,88146166,88262101,88608046,88752980,89087574,89577560,89910555,90091477,90299894,90411854,90531145,90585814,91275992,91375870,91494217,91697689,91741320,91824745,92040205,92112229,92404410,92467453,92473887,92821837,93593533,93972889,94493614,94662181,94760301,94890692,95093720,95355372,95402110,95462473,95634174,95669816,95904592,96455797,96457235,96564781,97484149,97546046,97619931,97795669,97846775,97857408,97941176,98485405,98564704,98913805,99332341,99456457,99488973,99510829,99885853,...,84226786884075387829657325249853641697299969238134318388661149389427282124829626760041554354870105658818388575607169716705512525914554254067674246011439770443118938106939660011634386672244567142876330437617587666264383277138957523519459467266440818054952495595549961199589549373616679133143454190943481007444859056642281924277443719116279146913037300305351674575588906627755774696551844350409699050419581148002994189449085540272132044748447279971065585233529034517647806774299725295980668940595568977679779080189853797750421766885100231725359206076678852723206652110990193822526400520211101620416432901531684600026089000654912838010728871183156304010993300397209639819631609196395975725772536243831203263451631775779340935890717171810425700286780530944349812742230503999375638261166459325926448236571518708015222285082256954109517687245353830602210615779394377164247206850681854673509291095684604353423002018683896184052692113294993600337804706514700770151644744237040194719721139718776019859215862884967794966735908001517950959440465116765926895957937807655982727172910098589202687738588830779753485897784357459890873307847775169087772192379545653580217835838053369826960704660001331535048076264248240685919263921530636843095254581249857805943954676099714757943725402303770942737764612267668100231956823850581706070546060650050649398492307086315737148503732847760151475883034123451230850314903808811758204137386677893061865170290918177787787808692829238608275053980177079242119102728446482797689967029096095951457250432461981887594339776962100085997567369697892348775464776664113968631780972503464220413314173426984368906141897360619693668232458485390576704538519438244029006686270129178145330428966120284256283630861266357808253594756327143242207320739454978430511460623400545126122298675144444886462847742135341352311302731980606701616212222793745311999143993925434643368384588499643953472758617739052771736325503352810192811577210081714740016592886855025087494502840683641020241415525614266340762403952391843843737919306586352146748353016350413259396709373057003816124571629673744222130795617391252357196997399512176246526267819796584585163910114531959456469553401314667646415479047478647252408567100004508901727343066720051823982444556661041516317750188482066395095665757015782449691871257004385104123909954926682409927069048099666035947424229518331222678959559413370784141789820002336396348279872075221408101258551456249060619629814452039957741614983127756897543944265861811943994511687016089979717380817509048225852766176563275325419051682535416848561355003126199280970321854613072437557730303225785236997014512799112246379172900635892336744873174003933384666220045407007324736392676832644015283939338766998572745280056141754232465292206042807055643076705378061265079922184651542564204948075222511779851774844494075116115835190674177909959632082808350803063789126859390369952113705145397525617973001189091621187793349637095973365288592490124199851449901604017477930313934821671079841200722421537495009689052496236576197797763067740058698680574957682754939075824933984425586907225728898156880285788723645046440738591378484839476618506792587723658787708360846816396409393870578159881544571008754983223204200435069079584758942883678745351755682371234267865466001700387749596137413522598119957301770028887708074319921708524908576450573896542535926229077137156608204339875545358085041213702767892900065905263280004120868333362127582320576249140490198172227596672860129145751728256762862653440903992052431017794451134123400369758130448716495071991209303614684526352851390044243526453535898803056047436748621173893044656073146047218760101947579093621246938632972501812998100503291886003894}
23196  42295102838055527601565956908986274620767750093598677799928187227960666893971: {162323,231890,278268,532979,671843,856883,1226579,1761148,1826243,2240603,2516483,3151528,3159083,3204923,3545469,3617123,3845843,4120043,4262728,4439579,4795569,4940618,5122979,5216306,5350379,5643964,5743432,6042506,6317618,6326229,6461361,7531225,7691018,7703483,7965266,8647643,8701768,8787146,8871923,8921605,9037470,9243633,9319883,9543563,9639968,9789489,10074165,10391723,10699826,10705926,10745776,10844964,10881443,10917832,11004325,11059283,11325803,11517386,11745669,11789618,12088998,12282561,12609923,12745150,12817468,13051163,13205190,13419986,13500328,13784365,13916764,14085536,14504018,14589203,14720579,15014908,15187869,15294180,15846228,15896678,16313792,16334963,16541238,16564405,16659964,16682579,17473226,17577681,17635883,18302428,18353016,18499163,18542243,19023688,19058579,19622449,19691950,19877286,20078853,20126632,20157386,20472563,20647143,20856683,20898129,21034108,21227018,21401649,21495443,22642461,22709540,22827146,23021123,23232203,23432008,23527379,23630340,24032483,24165832,24368579,24619605,24662243,24787979,24846364,24878725,24913643,25205696,25217618,25266088,26100193,26249579,26260912,26361009,27186561,27251448,27464872,27618683,27831112,28032070,28356408,28424349,28526579,28601365,29438546,29514758,29543526,29854470,30027208,30267964,30657879,30697883,30750026,30837165,30897981,30982979,31105043,31308323,31310001,31714283,31844768,31855528,31900959,32200379,32442200,32892976,32951752,33007979,33210205,33395349,33531203,33638484,33780609,33881617,34133243,34143026,34213379,34321638,34493603,34693523,34733483,34933163,34976805,35092763,35292083,35700818,35825364,35826973,35837469,35888843,36236968,36404579,36483803,36497475,36721283,36995018,37004598,37045005,37070721,37272988,37285990,37308592,38061563,38297123,38930640,39514672,39572618,39852246,39937979,40015763,40054643,40599626,40714379,40766589,40893681,41410403,41526016,41700808,41972166,42064552,42135818,42163940,42449579,42718043,42908005,42909563,43052581,43139123,43406579,43449375,43796970,44092523,44454006,44743188,44851643,45003083,45307005,45796043,46346000,46435379,46716768,46885283,46913409,46966226,47096005,47322621,47423548,47443150,47446043,47930579,48005003,48228083,48327472,48402310,48732746,48784523,48932603,49016764,49325992,49707923,49948052,50332979,50589683,50596728,50772803,51181390,51244106,51320963,51489606,51492165,51666364,51794579,51861448,51994706,52139250,52556364,52773923,53265700,53492018,54142379,54209365,54368406,54393203,54679379,54924976,55107683,55143323,55491741,55570379,55615200,55676963,55890748,56223626,56279579,56515206,56694081,56915123,56921319,56931780,56965586,57056003,57161579,57284008,57667605,57758483,57863579,57996028,58082772,58344129,59014883,59322880,59327363,59571964,59920466,59950379,60234200,60530632,60630262,60727232,60914363,60981805,60982979,61297150,61417668,61428203,61498353,61512112,61611688,61735643,61790598,61940243,62008379,62110523,62123018,62192764,62567100,63268161,63431843,63758965,63761788,63918840,64037579,64272443,64313906,64444509,64799186,64974683,65051238,65526026,65772923,66137243,66368579,66371068,66686673,66738240,67412764,67763475,67846379,68085928,68096961,68180096,68237723,68318136,68420426,68432963,68919803,69162952,69201126,69313149,69380618,69559053,69880648,70433579,70577618,70665205,70753379,71136083,71187456,71231579,71354360,71908695,72281040,72434963,72560963,72603964,72655379,72749723,72858214,73178166,73189043,73212325,73220363,73376843,73556580,73595579,73638748,74062979,74683379,74899763,75080520,75362123,75607979,75700043,75926613,75975803,76508618,76510758,76596669,76616723,76685992,76702608,76857903,76928973,76981379,77099776,77441950,77449226,77646923,77808321,78182205,78380365,78460352,78615729,78697763,78855818,79174883,79790666,79866493,79901512,80024018,80034443,80085888,80273655,81004379,81209003,81316170,81646163,81685672,81791483,81875548,82081523,82831883,83032979,83207005,83376803,83394352,83711089,83738066,83890379,83916518,84180808,84373043,84465585,84538869,84543805,84798246,84891146,85583579,85625232,85698529,86141579,86244116,86271741,86290434,86336123,86357805,86557979,86614660,86641043,86737248,86809393,86972579,87854790,88069379,88100618,88267896,88287203,88531643,89161672,89502923,89770883,89889201,90095245,90096624,90224579,90388825,90543443,90546364,90582472,90622979,91245805,91560988,91658905,91896381,91990163,92067868,92114992,92276603,92380523,92536163,92861906,92898203,92930340,92975579,93190629,93694283,93711776,93818646,93943633,94051283,94056438,94092508,94484392,94507979,94525413,94597948,94703409,95106866,95263379,95563875,95974021,96000818,96185123,96259379,96328386,96553005,96703403,97120379,97579404,97656563,98074821,98164763,98212979,98422405,98812979,99085768,99125696,99218123,99301383,99636508,99848406,...,126340180326113081744485987874780462545949953857201477582991724084140923187244440140062331532305158488227582863410754575058268788871831381101511369017159655664678407160409490017451580008366850714314495656426381499396574915708436285279189200899661227082428743393324941799384324060425018699715181286415221511167288584963422886416165578674418720369555950458027511863383359941633662044827766525614548575629371722004491284173628310408198067122670919956598377850293551776471710161449587943971003410893353466519668620284780696625632650327650347588038809115018279084809978166485290733789600780316652430624649352297526900039133500982369257016093306774734456016489950595814459729447413794593963588658804365746804895177447663669011403836075757715638550430170796416524719113345755999063457391749688988889672354857278062022833427623385431164276530868030745903315923669091565746370810276022782010263936643526906530134503028025844276079038169942490400506707059772051155227467116355560292079581709578164029788823794327451692450103862002276926439160697675148890343936906711483974090759365147883804031607883246169630228846676536189836309961771662753631658288569318480370326753757080054740441056990001997302572114396372361028878895882295955264642881871874786708915932014149572136915588103455656414106646918401502150347935235775872559105819090975075974097738460629473605722755599271640227213824551185176846275472355713217637306206080016839592797755436377266681681713039243857912412580970265618863178654092669724196534950543644143927185875648692972831391509665443150128996351054546838523163197164996170952947671458755196330619971260140476553359212846040929540502348687728085865056807779157366043510029405193767217995643449180426384425446291899536712380392134490714863310981109182467645767190935100817689183448012716667329694271613203012028466954097970910052424318334190617967998715990888151965052576882749465930209137926608579157604488255029215289217365815122572110024889330282537631241754261025461530362123288421399511143605928587765765606878959879528220122529524525619889095064059585505724186857444510616333196193426086878535795496099268264369789401729694876877745865171797939184704330101972001469623218571217970878612850650006763352591014600080077735973666834991562274476625282723099592643498635523673674537806885506577656185864932390023614890603572149499053921136344277496834018439339120056176212684730003504594522419808112832112151887827184373590929444721678059936612422474691635346315916398792717915991767530524134969576071226263572338779149264844912988128577523803125272842032504689298921455482781919608656336595454838677855495521769198668369568759350953838505117309761005900076999330068110510987104589015248966022925909008150497859117920084212631348697938309064210583464615058067091897619883276977313846307422112833767669777662266741112674173752786011266864939448124212526204595683690289085554928170557718096288426959501783637431781690024455643960047932888735186299777174852406026216895470902232506619761801083632306242514533578744354864296696644601610088048020862436524132408613737400976638380360838593347235320428683085467569661107887067727259214927760188881585488181562541270224594614090805867239822316856513132474834806300652603619377138414325518118027633523556851401798199002550581624394206120283897179935952655043331562111479882562787362864675860844813803889343615705734912306509813318037127561820554151839350098857894920006181302500043191373480864373710735297258341395009290193718627592385144293980161355988078646526691676701185100554637195673074742607986813955422026789529277085066365289680303848204584071155122931760839566984109719070828140152921368640431870407949458752719497150754937829005841}
23197  42446315842424120738420426895156438412985724604692778262422047816354753975058: {23197,347835,371024,417402,2201435,2641722,2757587,3313739,3729887,3939410,4727292,4841903,5025503,5119907,5328410,5607866,6394092,7054955,7179290,7410927,7614047,7824459,8360399,8434972,8465946,8615148,8664458,9063759,9402554,9476427,9553103,10877210,10946639,11536527,11812787,11947899,12049960,12324844,12335219,13052652,13180719,13432220,13556205,13647290,13849082,14274568,14459952,14556947,14960714,15660892,15937259,16021835,16049739,16058889,16118664,16267446,16376748,16500959,16645727,16875410,17276079,17395955,17606920,17610803,17684427,18133497,18768635,19117725,19226202,19807785,20129979,20134907,20250492,20392240,20503007,20655983,20824955,20874986,20875146,21128304,21145103,21756027,22054984,22107827,22522362,22876559,22878035,22941270,22978298,23436908,23769342,23779610,23845017,24031763,24352223,24470688,24811857,24819563,24989946,25158290,26209839,26273807,26292635,26503048,26771804,26792603,26970746,27453642,27529524,27864172,27873587,28386925,28535532,28781354,28832783,29112707,29290010,29537925,29815929,30189948,30207290,30236079,30872762,30905459,31057955,31507120,31551162,31582610,31707347,31840527,32213423,32645018,32826140,33891299,34064310,34074458,34240719,34331090,34575338,34671599,34788890,35148012,35445510,36248748,36335264,36488207,36779147,36806483,36963338,37269546,37534010,37808544,37826427,37834955,37899132,38067107,39259259,39391368,39771083,39805960,39819410,40552750,40877172,41116220,41189690,41197308,41746668,42048105,42286538,42534612,42538283,42750563,43160243,43625066,44157819,44272137,44315289,44527132,44781705,44851312,45040812,45296210,45378767,45401946,45762184,46125039,46591235,46635740,46903343,46998107,47767152,47783292,47944658,47976623,48059354,48663300,48781499,48814139,49267658,49339464,49393340,49427628,49771427,49847642,49969907,50123507,50457726,51214539,51482457,51751739,51828314,51907520,52126010,52134443,52301546,52580690,52704925,52964303,53136328,53551227,53738046,53823098,53910227,54126059,54355452,54445883,54524908,54655199,55492527,55506897,55909482,55928985,55962888,56328239,56540063,57091619,57354506,57932500,58395960,59115443,59272008,59279435,59358927,59575187,59657584,59778369,59975723,60409340,60517583,60610706,60845999,60899439,61145567,61270955,61657490,62043914,62289024,62357987,62435065,62551212,62958249,63014939,63096828,63203727,63245910,63780107,64421258,64582955,64826810,64898723,65195099,65695455,66064463,66438746,66513647,66563939,66582125,66681009,67100243,67114782,67362938,67462304,67465763,68652808,68656220,68671643,69519000,69863435,69913823,70075152,70136978,70449339,71135322,71164725,71474963,71605010,71880419,72451259,72491208,72495035,72603465,72889499,72970058,73013903,73099119,73525146,73640159,73658207,73988988,74153600,74464955,74922078,75292750,75353608,75592108,75663290,75895092,75909040,75972803,76121138,76486703,76772085,76866159,76890140,77014610,77234409,77443696,77499546,77566442,77740955,77792172,77909603,77992059,78016463,78080234,78208875,78366899,78834546,79259663,79535258,79702235,79898550,80238027,80600618,80754659,81552609,81890224,81997804,82340399,82387464,82488107,82553306,82673843,82773107,82963835,83114387,83422800,83836122,83932298,84252779,84265955,84335439,84357548,84564458,84772809,84860003,85107410,85225120,85397670,85448379,85662623,85926012,86171483,86268239,86453690,86700047,86734984,86994042,87124158,87350810,87579866,87870227,88915564,88984320,89192950,89261699,89357946,89762714,89880699,90099443,90116138,90351300,90408143,90704543,90754955,90795948,90945393,91090848,91199663,91266827,91302107,91333907,91597946,91705643,91945725,92048435,92126502,92268168,92417532,92685897,92745404,92829899,93062099,93184527,93289146,93850650,94916608,95082383,95642682,95719859,95857490,95878260,96170747,96374720,96470859,96616586,97198779,97352819,97492787,97570888,97576857,97800143,97804163,98075440,98289039,98336459,99032522,99223343,99556602,99606458,99876890,...,168453573768150775659314650499707283394599938476268636777322298778854564249659253520083108709740211317636777151214339433411025051829108508135348492022879540886237876213879320023268773344489134285752660875235175332528766554277915047038918934532881636109904991191099922399179098747233358266286908381886962014889718113284563848554887438232558293826074600610703349151177813255511549393103688700819398100839162296005988378898171080544264089496894559942131170467058069035295613548599450591961337881191137955359558160379707595500843533770200463450718412153357705446413304221980387645052801040422203240832865803063369200052178001309825676021457742366312608021986600794419279639263218392791951451545072487662406526903263551558681871781434343620851400573561061888699625484461007998751276522332918651852896473143037416030444570164513908219035374490707661204421231558788754328494413701363709347018582191369208706846004037367792368105384226589987200675609413029401540303289488474080389439442279437552039718431725769935589933471816003035901918880930233531853791915875615311965454345820197178405375477177661559506971795568714919781746615695550338175544384759091307160435671676106739653921409320002663070096152528496481371838527843061273686190509162499715611887909352199429515887450804607541885475529224535336200463913647701163412141092121300101298796984614172631474297007465695520302951766068246902461700629807617623516408274773355786123730340581836355575575617385658477216550107960354158484238205456892965595379934058192191902914500864923963775188679553924200171995134739395784697550929553328227937263561945006928440826628346853968737812283794721239387336464916970781153409077038876488058013372540258356290660857932240568512567261722532715616507189512654286484414641478909956861022921246801090252244597350288889772925695484270682704622605463961213403232424445587490623998287987850869286736769176999287906945517235478105543472651006705620385623154420163429480033185773710050174989005681367282040482831051228532681524807904783687687475838613172704293496706032700826518793418746114007632249143259347488444261591234782504714393994799024352493052535639593169170327820229063918912939106802629335292830958094957294504817134200009017803454686133440103647964889113322083032635500376964132790191331514031564899383742514008770208247819909853364819854138096199332071894848459036662445357919118826741568283579640004672792696559744150442816202517102912498121239259628904079915483229966255513795087888531723623887989023374032179959434761635018096451705532353126550650838103365070833697122710006252398561940643709226144875115460606451570473994029025598224492758345801271784673489746348007866769332440090814014649472785353665288030567878677533997145490560112283508464930584412085614111286153410756122530159844369303085128409896150445023559703549688988150232231670381348355819919264165616701606127578253718780739904227410290795051235946002378183242375586699274191946730577184980248399702899803208034955860627869643342159682401444843074990019378104992473152395595526135480117397361149915365509878151649867968851173814451457796313760571577447290092881477182756969678953237013585175447317575416721693632792818787741156319763089142017509966446408400870138159169517885767357490703511364742468535730932003400775499192274827045196239914603540057775416148639843417049817152901147793085071852458154274313216408679751090716170082427405535785800131810526560008241736666724255164641152498280980396344455193345720258291503456513525725306881807984104862035588902268246800739516260897432990143982418607229369052705702780088487052907071797606112094873497242347786089312146292094437520203895158187242493877265945003625996201006583772007788}
23198  42598065912660349450203509633489706501556330647411351263257318052705926196356: {324646,463780,556536,626103,718177,1065958,1343686,1549777,1713766,2453158,2930017,3205201,3522296,3617437,3652486,3962583,4166077,4481206,5032966,5909115,6303056,6318166,6349117,6409846,7090938,7234246,7691686,7704157,7992615,8240086,8411799,8525456,8879158,9589117,9591138,9881236,10245958,10392637,10432612,10543715,10700758,10768935,11287928,11326801,11486864,12085012,12390097,12490247,12635236,12652458,12698919,12922722,12996687,13052317,14103831,14239777,15062450,15382036,15406055,15406966,15930532,16315815,16790275,16857697,16987837,17295286,17403536,17574292,17743846,17843210,18074940,18487266,18543901,18639766,19087126,19279936,19298111,19576115,19578978,20148330,20217937,20470935,20474401,20773623,20783446,21399652,21411852,21491552,21689928,21762886,21835664,22008650,22118566,22388701,22441071,22651606,23023201,23034772,23190167,23276497,23491338,23579236,23655901,24034657,24177996,24401169,24565122,25219846,25313115,25490300,25634936,25793617,26102326,26410380,26418397,26839972,27000656,27165757,27568730,27833528,28171072,28839303,29008036,29022817,29178406,29296135,29441158,30029816,30129277,30375738,30496801,30588360,31312479,31312719,31473697,31692456,31717201,31793356,31960417,32627584,32669926,33082476,33128810,33319928,33365158,33464755,33534301,33783543,34411905,34467447,34496797,34736701,34830215,34946452,34976317,35155362,35271766,35654013,35669415,35931901,36526801,36604856,36706032,36998326,37084486,37484919,37737435,38047376,38117158,38535997,39244898,39383900,39754572,40041911,40058401,40157706,40253264,40314772,40456119,40945126,41032675,41180463,41294286,41452897,41713366,41796258,42068216,42146257,42454036,42607057,42803298,42951901,42990886,43172031,43935015,44893777,45007357,45284922,45310935,45419080,45654292,45800401,46042246,46309143,46464406,46494287,46864016,46927201,47054758,47151697,47260680,47326743,47373915,47487901,47638063,48064966,48269857,48331664,48737158,48826237,48967527,49239210,49324486,49575958,49692728,49712701,49757450,49827286,50411392,50435236,50532176,50880323,51096465,51111687,51143377,51395275,51496635,51863007,52183335,52200386,52499158,52521824,52722018,52779037,53168265,54373122,54398497,54502896,54929744,54934717,55148701,55237366,55445007,55658915,55662224,55682401,55904319,56064140,56301015,56532577,56712816,56848698,56955937,57053158,57202730,58009297,58114237,58294675,58877092,59029516,59087052,59708940,59729115,60054416,60071207,60535928,60829125,61228957,61315758,61395766,61434301,61500052,61674330,61741675,61784535,61795962,61965958,62210086,62456701,62616646,62620002,63428566,63429807,63471901,63689536,63711056,63775057,63801918,64400758,64884400,65181217,65437599,65779537,65785952,65903504,65934407,66015958,66176977,66420410,66790698,67062406,67276968,67561218,67763234,67944315,68102919,68156135,68266486,68286052,68426758,68643276,68926801,68987206,69121057,69218077,69387046,69466966,69866326,69953610,70185526,70584166,71401636,71650728,71653946,71674938,71777686,71916987,72000337,72089031,72095197,72284701,72415625,72473936,72568417,72809158,72967606,72994950,73227901,73442566,73901487,73990036,74009196,74090010,74141442,74545976,74571980,74617184,74771463,75092701,75511675,75686589,75738577,75893111,76123126,76289377,76594246,77655037,77742471,77861280,78189015,78452319,78466657,78735901,78871035,79029344,79145236,79704492,79875958,80031526,80072401,80109286,80607069,80734647,81199252,81428758,81533178,81787362,81829201,82820806,83052032,83299837,83401616,83864223,83944332,84129104,84240337,84271636,84327880,84410401,84899158,85003357,85374527,85436086,85816010,85819126,85820275,86031759,86105162,86278246,86345437,86813158,86898750,87593940,87751201,88185046,88323997,88730977,88908012,89262551,89486376,89703286,89780701,90006166,90579901,90614010,90818257,90916059,90976801,91592086,92000317,92312797,92486235,92692000,92870758,93065871,93433536,93704701,93770566,93826818,93932452,93934417,94192010,94490135,94645242,94847096,94868865,94886300,94892086,95449297,95861158,96010006,96112675,96195937,96456166,96566557,96631887,96654944,96714301,96804620,97240215,97465492,97569046,97865206,98033528,98651984,98931287,99110497,99253201,99415846,99608701,99658119,99750397,99896104,...,252680360652226163488971975749560925091899907714402955165983448168281846374488880280124663064610316976455165726821509150116537577743662762203022738034319311329356814320818980034903160016733701428628991312852762998793149831416872570558378401799322454164857486786649883598768648120850037399430362572830443022334577169926845772832331157348837440739111900916055023726766719883267324089655533051229097151258743444008982568347256620816396134245341839913196755700587103552943420322899175887942006821786706933039337240569561393251265300655300695176077618230036558169619956332970581467579201560633304861249298704595053800078267001964738514032186613549468912032979901191628919458894827589187927177317608731493609790354895327338022807672151515431277100860341592833049438226691511998126914783499377977779344709714556124045666855246770862328553061736061491806631847338183131492741620552045564020527873287053813060269006056051688552158076339884980801013414119544102310454934232711120584159163419156328059577647588654903384900207724004553852878321395350297780687873813422967948181518730295767608063215766492339260457693353072379672619923543325507263316577138636960740653507514160109480882113980003994605144228792744722057757791764591910529285763743749573417831864028299144273831176206911312828213293836803004300695870471551745118211638181950151948195476921258947211445511198543280454427649102370353692550944711426435274612412160033679185595510872754533363363426078487715824825161940531237726357308185339448393069901087288287854371751297385945662783019330886300257992702109093677046326394329992341905895342917510392661239942520280953106718425692081859081004697375456171730113615558314732087020058810387534435991286898360852768850892583799073424760784268981429726621962218364935291534381870201635378366896025433334659388543226406024056933908195941820104848636668381235935997431981776303930105153765498931860418275853217158315208976510058430578434731630245144220049778660565075262483508522050923060724246576842799022287211857175531531213757919759056440245059049051239778190128119171011448373714889021232666392386852173757071590992198536528739578803459389753755491730343595878369408660203944002939246437142435941757225701300013526705182029200160155471947333669983124548953250565446199185286997271047347349075613771013155312371729864780047229781207144298998107842272688554993668036878678240112352425369460007009189044839616225664224303775654368747181858889443356119873224844949383270692631832797585435831983535061048269939152142452527144677558298529689825976257155047606250545684065009378597842910965563839217312673190909677355710991043538397336739137518701907677010234619522011800153998660136221021974209178030497932045851818016300995718235840168425262697395876618128421166929230116134183795239766553954627692614844225667535339555324533482225348347505572022533729878896248425052409191367380578171109856341115436192576853919003567274863563380048911287920095865777470372599554349704812052433790941804465013239523602167264612485029067157488709728593393289203220176096041724873048264817227474801953276760721677186694470640857366170935139322215774135454518429855520377763170976363125082540449189228181611734479644633713026264949669612601305207238754276828651036236055267047113702803596398005101163248788412240567794359871905310086663124222959765125574725729351721689627607778687231411469824613019626636074255123641108303678700197715789840012362605000086382746961728747421470594516682790018580387437255184770288587960322711976157293053383353402370201109274391346149485215973627910844053579058554170132730579360607696409168142310245863521679133968219438141656280305842737280863740815898917505438994301509875658011682}
23199  42750354943735830662648441947350034852012640258743539509384669422187148074120: {46394,486969,579725,695670,742048,834804,1598937,2015529,2570649,3082009,3679737,3916237,4402870,5283444,5478729,5515174,5722249,6627478,6721809,7387721,7459774,7549449,7878820,9055169,9454584,9477249,9614769,9683806,9876937,10051006,10239814,10636407,10656820,10851369,11215732,11537529,12351545,12360129,12788184,12936937,13040765,13318737,14109910,14358580,14386707,14821854,15106265,15228094,15368937,15648918,15794045,16051137,16269529,16720798,16869944,16931892,17230296,17328916,18054377,18127518,18805108,18952854,18978687,19106206,19227545,19384083,19913165,21754420,21893278,21967865,22430569,22593675,22613921,23073054,23110449,23625574,23895798,24099920,24354337,24649688,24670438,25649657,25942929,26105304,26276089,26361438,26531257,26615769,26749565,26764815,26864440,27112410,27166337,27294580,27698164,27730899,27959649,28549136,28630689,28793465,28919904,29113894,29154937,29368467,29474045,29921428,30222495,31175169,31321784,31369769,31862875,31874518,32029249,32043670,32099478,32117778,32237328,32534892,32592689,32644329,32753496,33001918,33012975,33177849,33225137,33291454,33549965,33750820,33977409,34552158,34791910,35213840,35221606,35237007,35368854,35530829,36260045,36266994,36809689,36847683,37537270,37760921,37829769,38070409,38235450,38452404,38859677,39153489,39615570,39630077,39741695,40259958,40269814,40500984,40784480,41006014,41311966,41353095,41649910,41749972,41750292,42256608,42289577,42290206,43481137,43512054,43683065,43767609,44109968,44161737,44215654,45044724,45563607,45753118,45756070,45882540,45956596,46873816,47002189,47259089,47538684,47559220,47560841,47690034,47780041,48063526,48704446,48941376,49004889,49229875,49623714,49639126,49693215,49979892,50047737,50316580,50393465,52419678,52547614,52585270,52733043,52907649,52968937,53006096,53067545,53543608,53585206,53941492,54907284,55059048,55497489,55570409,55626729,55626889,55728344,55747174,55876481,56773850,57067865,57071064,57175737,57333617,57539609,57562708,57665566,57689437,58225414,58580020,58867347,59075850,59572061,59631858,59940737,60236559,60379896,60414580,60472158,60851281,61417689,61745524,61810918,61941429,62115910,62570049,62694387,63014240,63044045,63102324,63165220,63329057,63414694,63681054,64204947,64426846,64486329,65227729,65290036,65652280,66070201,66569737,67206257,67782598,67927383,68128620,68148916,68481438,68662180,69063369,69150676,69343198,69374497,69577780,69696609,69998129,70080175,70296024,70582137,70805537,70891020,71283649,71564489,72097449,72193049,72497496,72595889,72670528,72976414,73105737,73558294,73596365,73612966,73786895,73858815,73926676,73986729,74363937,74539092,74636175,74740929,75068020,75557789,75617088,75652854,75669910,75798264,76134214,76875065,77021297,77916361,78262217,78300579,78518518,78748737,78782736,78913529,79083027,79542166,79611920,79638820,79751177,80344961,81105500,81559683,81754344,82232440,82379380,82394616,82856049,82991209,83493336,84096210,84573076,85069224,85076566,85273047,85357565,85501126,85579737,85779337,85804095,86320486,87250132,87409091,87525161,87877849,88315638,88544274,88630578,89054264,89252045,89563410,89702624,90081624,90416137,90592420,90712417,90757534,90803892,91524368,91528937,91973637,92093649,92250078,92487545,92511495,92693943,92948937,92972749,93182470,93214975,93217409,93271480,93315129,93806686,93924969,93930003,93996214,94291177,95142849,95479037,95534304,95566584,95702877,95889316,95953246,96118708,96179089,96472529,96601137,97326600,97562998,97628278,97808809,98535316,98678928,98786680,98855256,98931545,99023937,99231961,99473741,99542854,99630615,99695284,99939814,...,379020540978339245233457963624341387637849861571604432748975172252422769561733320420186994596915475464682748590232263725174806366615494143304534107051478966994035221481228470052354740025100552142943486969279144498189724747125308855837567602698983681247286230179974825398152972181275056099145543859245664533501865754890268659248496736023256161108667851374082535590150079824900986134483299576843645726888115166013473852520884931224594201368012759869795133550880655329415130484348763831913010232680060399559005860854342089876897950982951042764116427345054837254429934499455872201368802340949957291873948056892580700117400502947107771048279920324203368049469851787443379188342241383781890765976413097240414685532342991007034211508227273146915651290512389249574157340037267997190372175249066966669017064571834186068500282870156293492829592604092237709947771007274697239112430828068346030791809930580719590403509084077532828237114509827471201520121179316153465682401349066680876238745128734492089366471382982355077350311586006830779317482093025446671031810720134451922272278095443651412094823649738508890686540029608569508929885314988260894974865707955441110980261271240164221323170970005991907716343189117083086636687646887865793928645615624360126747796042448716410746764310366969242319940755204506451043805707327617677317457272925227922293215381888420817168266797814920681641473653555530538826417067139652911918618240050518778393266309131800045045139117731573737237742910796856589535962278009172589604851630932431781557626946078918494174528996329450386989053163640515569489591494988512858843014376265588991859913780421429660077638538122788621507046063184257595170423337472098130530088215581301653986930347541279153276338875698610137141176403472144589932943327547402937301572805302453067550344038150001989082814839609036085400862293912730157272955002571853903996147972664455895157730648248397790627413779825737472813464765087645867652097445367716330074667990847612893725262783076384591086369865264198533430817785763297296820636879638584660367588573576859667285192178756517172560572333531848999588580278260635607386488297804793109368205189084630633237595515393817554112990305916004408869655713653912635838551950020290057773043800240233207921000504974686823429875848169298777930495906571021023613420656519732968557594797170070844671810716448497161763409032832490502055318017360168528638054190010513783567259424338496336455663481553120772788334165034179809837267424074906038947749196378153747975302591572404908728213678790717016337447794534738964385732571409375818526097514067896764366448345758825969009786364516033566486565307596005108706278052861515515351929283017700230997990204331532961313767045746898068777727024451493577353760252637894046093814927192631750393845174201275692859649830931941538922266338501303009332986800223338022521258358033800594818344372637578613787051070867256664784511673154288865280878505350912295345070073366931880143798666205558899331524557218078650686412706697519859285403250896918727543600736233064592890089933804830264144062587309572397225841212202929915141082515780041705961286049256402708983323661203181777644783280566644756464544687623810673783842272417601719466950569539397424504418901957810858131415242976554354082900570670554205394597007651744873182618360851691539807857965129994686334439647688362088594027582534441411668030847117204736919529439954111382685461662455518050296573684760018543907500129574120442593121132205891775024185027870581155882777155432881940484067964235939580075030103555301663911587019224227823960441866266080368587831255199095869040911544613752213465368795282518700952329157212484420458764105921295611223848376258158491452264813487017523}
23200  42903184837264383771086399948997173218749719464149776908299960757916496524461: {69591,255079,649292,927560,949519,1043505,1113072,1252206,1436354,1918711,2131916,2332999,2608831,2687372,3099554,3159631,3427532,3983671,4120759,4531591,4906316,5214871,5487679,5860034,5896351,6032431,6410402,6604305,6711751,7044592,7234874,7304972,7925166,7929991,8272761,8332154,8738911,8873479,8962412,9813439,9848525,9941217,10065932,10215199,10482679,10883359,11150119,11189661,11416591,11549719,11815759,11818230,12606112,12612151,12636332,12698234,12744631,12819692,13273831,13321025,14019665,14181876,14468492,14525709,14761201,14854519,15076509,15359721,15383372,15408314,15985230,16163839,16480172,16823598,17050912,17758316,17948225,18114319,19147951,19178234,19182276,19762472,20491916,20689759,20785274,20865224,20945719,21087430,21164865,21201391,21401516,21537870,21568477,21584359,21661145,22232781,22575856,22653602,22842141,22973728,23473377,23506385,24120919,24170024,24498919,24780194,24980494,25081197,25270472,25304916,25397838,25629031,25845444,25993374,26104634,26129431,26877871,27191277,27193025,27406561,28207662,28243279,28429281,28479554,28614151,28659309,28861039,29722879,30124900,30764072,30812110,30813932,30835277,31070071,31192111,31861064,32287231,32529799,32631630,32839917,33580550,33617791,33715394,33975674,34118225,34219711,34579999,34590572,34609581,34622705,34807072,34819831,35148584,35298631,35438361,35487692,35686420,35843697,36149880,36490591,36728119,36974532,37005657,37087802,37202311,37279532,37401785,38174252,38559872,38596222,38970271,39152230,39157956,39542157,40023271,40296660,40435874,40668615,40941870,40948802,41014589,41070439,41547246,41566892,41880871,41996359,42188525,42799304,42823704,42983104,43379856,43525772,43670841,43671328,44017300,44237132,44290999,44518879,44777402,44882142,45087319,45303212,46046402,46069544,46380334,46552994,46850657,46894231,46982676,47158472,47311802,47811777,48014191,48065505,48069314,48149217,48176667,48355992,48762301,48802338,49015999,49130244,49502877,49791151,49937181,50122279,50439692,50626230,50672719,50782591,50980600,51269872,51587234,51828237,52187465,52187865,52204652,52820760,52832409,52836794,53053281,53242541,53679944,54001312,54331514,54400491,54582751,55137460,55225351,55667056,56299529,56305905,56342144,56926279,57137599,57353175,57445745,57678606,57874951,58016072,58045634,58356812,58592270,58882316,58922191,59423355,59449025,59547079,60059632,60065839,60258554,60389937,60404721,60582799,60751476,60993602,60995071,61176720,61509021,61967949,62020711,62474865,62624958,62625438,62895725,62937631,62947394,63384912,63434402,63435309,63586712,63920834,64050391,64151119,64352359,64854199,65255168,65268081,65339852,66164952,66257620,66323481,66447991,66639856,66645919,66730316,66929510,67068602,67426865,67434751,67567086,68121199,68316679,68629677,68634105,68804119,68823810,68934894,68993594,69473402,69580279,69660430,69892904,69952634,70310724,70543532,70831711,70927471,71308026,71338830,71500519,71535051,71863802,71953385,72095289,73053602,73056669,73204111,73209712,73225025,73391959,73412064,73673191,73996652,74047159,74168972,74435571,74458689,74969838,74977039,75439279,75474870,75518225,76094752,76234316,76632679,77071994,77088439,77181905,77922481,77994559,78489796,78629517,78714271,78767800,78821421,78877905,78956525,79509144,80083822,80116802,80315412,80377809,80405119,80506528,80581591,80629544,80912238,81021511,81109279,81612545,81890252,82065350,82360926,82588572,82676791,82905794,83426732,83451799,83537551,83592516,83620761,83879839,84136432,84292514,84908072,85160775,85186145,85214114,85321711,85606596,85827725,85903802,85981772,86344062,86438345,86498349,86659759,86972225,87338121,87870030,88143031,88306399,88613775,89280559,89447787,89522479,89787554,90014714,90084439,90244351,90563311,90569844,90621870,90708237,90838160,91118719,91308584,91600802,91670599,92062639,92084492,92408345,92618286,92716377,92928812,92988574,92996191,93173865,93728032,93835025,93854402,94109516,94303394,94377079,94521360,94604959,94653486,94747830,94832191,94975802,94983319,95122041,95276126,95418589,95521581,96033151,96129932,96330511,96539714,96640269,96663328,96995359,97474316,97581439,97652474,97727239,97935054,98235271,98451919,98478420,98648972,99151916,99385456,99425402,99514900,99548525,99654572,99879679,99950311,...,505360721304452326977943951499121850183799815428805910331966896336563692748977760560249326129220633952910331453643018300233075155487325524406045476068638622658713628641637960069806320033467402857257982625705525997586299662833745141116756803598644908329714973573299767197537296241700074798860725145660886044669154339853691545664662314697674881478223801832110047453533439766534648179311066102458194302517486888017965136694513241632792268490683679826393511401174207105886840645798351775884013643573413866078674481139122786502530601310601390352155236460073116339239912665941162935158403121266609722498597409190107600156534003929477028064373227098937824065959802383257838917789655178375854354635217462987219580709790654676045615344303030862554201720683185666098876453383023996253829566998755955558689419429112248091333710493541724657106123472122983613263694676366262985483241104091128041055746574107626120538012112103377104316152679769961602026828239088204620909868465422241168318326838312656119155295177309806769800415448009107705756642790700595561375747626845935896363037460591535216126431532984678520915386706144759345239847086651014526633154277273921481307015028320218961764227960007989210288457585489444115515583529183821058571527487499146835663728056598288547662352413822625656426587673606008601391740943103490236423276363900303896390953842517894422891022397086560908855298204740707385101889422852870549224824320067358371191021745509066726726852156975431649650323881062475452714616370678896786139802174576575708743502594771891325566038661772600515985404218187354092652788659984683811790685835020785322479885040561906213436851384163718162009394750912343460227231116629464174040117620775068871982573796721705537701785167598146849521568537962859453243924436729870583068763740403270756733792050866669318777086452812048113867816391883640209697273336762471871994863963552607860210307530997863720836551706434316630417953020116861156869463260490288440099557321130150524967017044101846121448493153685598044574423714351063062427515839518112880490118098102479556380256238342022896747429778042465332784773704347514143181984397073057479157606918779507510983460687191756738817320407888005878492874284871883514451402600027053410364058400320310943894667339966249097906501130892398370573994542094694698151227542026310624743459729560094459562414288597996215684545377109987336073757356480224704850738920014018378089679232451328448607551308737494363717778886712239746449689898766541385263665595170871663967070122096539878304284905054289355116597059379651952514310095212501091368130018757195685821931127678434625346381819354711421982087076794673478275037403815354020469239044023600307997320272442043948418356060995864091703636032601991436471680336850525394791753236256842333858460232268367590479533107909255385229688451335070679110649066964450696695011144045067459757792496850104818382734761156342219712682230872385153707838007134549727126760097822575840191731554940745199108699409624104867581883608930026479047204334529224970058134314977419457186786578406440352192083449746096529634454949603906553521443354373388941281714732341870278644431548270909036859711040755526341952726250165080898378456363223468959289267426052529899339225202610414477508553657302072472110534094227405607192796010202326497576824481135588719743810620173326248445919530251149451458703443379255215557374462822939649226039253272148510247282216607357400395431579680024725210000172765493923457494842941189033365580037160774874510369540577175920645423952314586106766706804740402218548782692298970431947255821688107158117108340265461158721215392818336284620491727043358267936438876283312560611685474561727481631797835010877988603019751316023364}
23201  43056557501525159453869245647688606161864507325758299920814265056399682023266: {23201,92788,811615,973938,1159450,1391340,1484096,1669608,1878309,2154531,2664895,3197874,3359215,4031058,4284415,4333351,4649331,5141298,5861251,6132895,6164018,6695263,7359474,7832474,7897219,8730943,8790051,8805740,9131215,9615603,10120483,10566888,10852311,10957458,11030348,11203015,11444498,11887749,11964931,12498231,12582415,13254956,13443618,14775442,14919548,15012019,15098898,15757640,15795415,16024615,16130671,17292163,17727345,18085615,18110338,18257071,18562951,18909168,18954498,19047351,19229215,19229538,19367612,19463263,19753874,20102012,20479628,20600215,20841031,21148771,21272814,21313640,21336991,21702738,22111663,22197895,22431464,23075058,23112471,23977845,24703090,24720258,25004611,25235397,25576368,25614895,25873874,26081530,26157571,26330263,26637474,26725543,26751895,26918563,27502759,27674119,27878431,28219820,28717160,28767351,28773414,29643708,30212530,30313231,30456188,30737874,30755011,31177911,31297836,31588090,31631145,32102274,32105671,32219011,32306805,32433151,32539058,33228019,33441596,33739888,33863784,33980403,34460592,34657832,34740871,36108754,36255036,36427123,37170291,37449391,37470741,37610216,37656125,37764199,37905708,37957374,37981231,38070463,38096757,38212412,38267779,38455090,38517415,38768166,38990061,39156951,39266071,39826330,40200463,40310851,40414831,40755271,41263663,41287411,41970883,42311493,42719331,43238215,43508840,43786556,43801351,43935730,44292439,44319391,44359615,44608025,44626543,44861138,45187350,45227842,45308659,46146108,46218165,46220898,46599415,46969951,47251148,47717815,47791596,48199840,48708674,48900583,48947445,49299376,49340876,49780063,49825831,49978591,50370825,50573091,50764063,50840899,50963511,51299314,51339031,51493711,51885858,51958615,52210608,52552178,52722876,53062514,53231538,53499130,53529630,53728880,54224820,54332674,54407215,54589160,55021625,55296415,55396328,55461798,55631703,55638373,55919298,56629015,56777731,57098272,57261378,57338611,57586930,57770599,57838759,57839808,57894333,58227788,58309874,58602163,58728345,58736934,58948090,59402851,59842856,60444990,60653811,61156291,61412805,61423203,61459063,62320869,62350338,62643568,62739538,63049615,63680479,63725750,63749036,63791191,64058498,64087340,64198956,64235556,64474656,65069784,65185378,65255815,65288658,65345263,65506992,66003836,66025950,66355698,66450274,66582908,67099930,67166103,67323213,67501640,67574959,67675351,67757911,67823239,67954818,68921825,69069603,69099391,69104316,69570501,69583820,69829491,70427680,70443212,70474014,70484611,70550851,70737708,70780231,70881751,70967703,71061658,71309491,72103971,72520090,72533988,72602191,72700963,72902143,72946015,73203507,73602895,73619378,73655683,73695366,74294563,74640271,74658271,74759359,74843431,75074540,75521842,75564343,75659538,75939345,76140818,76470900,76499971,76904808,77380851,77719354,78233203,78306978,78765511,78920383,79190911,79231140,79255191,79260154,79483390,79895011,79972771,80519916,80539628,80768671,81001968,81497271,81568960,81674815,81960631,82012028,82404151,82623932,82706190,82822025,83068519,83128831,83229619,83299820,83412895,83499944,83500584,83679271,84186079,84513216,84579154,84580412,84716071,86186431,86517909,86962274,87024108,87045151,87068451,87366130,87532759,87535218,87888405,88179415,88219936,88261663,88323474,88385251,88431308,89999971,90089448,90387831,91127214,91282663,91490403,91506236,91512140,91721551,91765080,91913192,92491711,92495815,92711215,93561379,93618151,93747632,93937437,93938157,93997471,94004378,94251391,94421091,94518178,95077368,95099059,95118440,95121682,95151603,95292895,95380068,95487319,95560082,95881251,96085891,96127052,96644419,97369711,97408892,97882752,98009778,98112245,98459750,99247428,99278252,99386430,99959784,...,758041081956678490466915927248682775275699723143208865497950344504845539123466640840373989193830950929365497180464527450349612733230988286609068214102957933988070442962456940104709480050201104285886973938558288996379449494250617711675135205397967362494572460359949650796305944362550112198291087718491329067003731509780537318496993472046512322217335702748165071180300159649801972268966599153687291453776230332026947705041769862449188402736025519739590267101761310658830260968697527663826020465360120799118011721708684179753795901965902085528232854690109674508859868998911744402737604681899914583747896113785161400234801005894215542096559840648406736098939703574886758376684482767563781531952826194480829371064685982014068423016454546293831302581024778499148314680074535994380744350498133933338034129143668372137000565740312586985659185208184475419895542014549394478224861656136692061583619861161439180807018168155065656474229019654942403040242358632306931364802698133361752477490257468984178732942765964710154700623172013661558634964186050893342063621440268903844544556190887302824189647299477017781373080059217139017859770629976521789949731415910882221960522542480328442646341940011983815432686378234166173273375293775731587857291231248720253495592084897432821493528620733938484639881510409012902087611414655235354634914545850455844586430763776841634336533595629841363282947307111061077652834134279305823837236480101037556786532618263600090090278235463147474475485821593713179071924556018345179209703261864863563115253892157836988349057992658900773978106327281031138979182989977025717686028752531177983719827560842859320155277076245577243014092126368515190340846674944196261060176431162603307973860695082558306552677751397220274282352806944289179865886655094805874603145610604906135100688076300003978165629679218072170801724587825460314545910005143707807992295945328911790315461296496795581254827559651474945626929530175291735304194890735432660149335981695225787450525566152769182172739730528397066861635571526594593641273759277169320735177147153719334570384357513034345121144667063697999177160556521271214772976595609586218736410378169261266475191030787635108225980611832008817739311427307825271677103900040580115546087600480466415842001009949373646859751696338597555860991813142042047226841313039465937115189594340141689343621432896994323526818065664981004110636034720337057276108380021027567134518848676992672911326963106241545576668330068359619674534848149812077895498392756307495950605183144809817456427357581434032674895589069477928771465142818751637052195028135793528732896691517651938019572729032067132973130615192010217412556105723031030703858566035400461995980408663065922627534091493796137555454048902987154707520505275788092187629854385263500787690348402551385719299661863883077844532677002606018665973600446676045042516716067601189636688745275157227574102141734513329569023346308577730561757010701824590690140146733863760287597332411117798663049114436157301372825413395039718570806501793837455087201472466129185780179867609660528288125174619144794451682424405859830282165031560083411922572098512805417966647322406363555289566561133289512929089375247621347567684544835203438933901139078794849008837803915621716262830485953108708165801141341108410789194015303489746365236721703383079615715930259989372668879295376724177188055165068882823336061694234409473839058879908222765370923324911036100593147369520037087815000259148240885186242264411783550048370055741162311765554310865763880968135928471879160150060207110603327823174038448455647920883732532160737175662510398191738081823089227504426930737590565037401904658314424968840917528211842591222447696752516316982904529626974035046}
23202  43210474851485848492084059295773932082644664666182895810292341353501059226261: {115985,139182,301457,510158,672017,995837,1298584,1365437,1460907,1642301,1739175,1855120,1899038,2087010,2226144,2379197,2504412,2872708,3022301,3205757,3434897,3755357,3837422,3984017,4166801,4263832,4395101,4577597,4665998,4796811,5217662,5260817,5374744,5488157,5533601,6046587,6199108,6319262,6440801,6855064,7570301,7711947,7967342,7975697,8241518,9063182,9246027,9546077,9812632,9858977,10429742,10483601,10528157,10975358,11007175,11039211,11417597,11720068,11748711,11792702,11861117,12064862,12745757,12820804,13208610,13423502,13787935,14089184,14242301,14469748,14609944,14724497,14855837,14899601,15555101,15773201,15850332,15859982,16165277,16436187,16469777,16545522,16568695,16664308,17077601,17166747,17250977,17477822,17746958,17924824,18159101,18374801,18649435,19063697,19192637,19626878,19627531,19697050,19882434,20131864,20165427,20307101,20430398,20478077,20691617,20965358,21766718,22163163,22300238,22379322,22392737,22477457,22648347,22833182,22858301,23099438,23238497,23631518,23636460,23660177,24123101,24165137,24209515,24501137,24794717,24920417,25127515,25212224,25224302,25272664,25380701,25396468,25489262,25599535,25631357,25639384,25798301,26547662,26642050,27165507,27626237,28039330,28287101,28363752,28431747,28844307,28904801,28936984,29051418,29522402,29630811,29709038,29725601,30134801,30153018,30325603,30502397,30719442,30766744,30816628,31113617,31560701,31909221,31970460,32327678,32330657,32554107,32908939,32960344,33620897,33647196,34101824,34583201,34612587,34823057,35274775,35516632,35896450,36228638,36441691,36533597,36731537,36968801,37054635,37080387,38070235,38190077,38295902,38356468,38364552,38543201,38739101,38810811,38973917,39122295,39524944,39715601,39956211,40065917,40260257,40983832,41112977,41379518,41570548,41730448,41801995,41891438,42174860,42329730,42402782,42615101,42803032,43075740,43136954,43151357,43160121,43168718,43322290,43418897,43609757,43952801,44465562,44561057,45091601,45129437,45151712,45307204,45318795,45684282,45809117,45947456,46106811,46598801,46936157,46946754,47011037,47012770,47382135,47571617,47720801,47765515,48153411,48241838,48340048,48471787,48808587,48997838,49560388,49795937,49960988,50162394,50540944,50609832,50795676,51007037,51258062,51690888,51986748,52136801,52209268,52258862,52362499,52463357,53403101,53727137,53755742,54163131,54382554,54386050,54623837,54733195,54813122,55230737,55693277,56415324,56486558,56858562,56936061,56959108,56967101,57178397,57228302,57318618,57682635,57705377,57722078,57880637,58152249,58195601,58509917,59063935,59445758,59739495,59795297,60071777,60106301,60249800,60623201,60932477,61309601,61528144,61624220,61627864,61670554,61676095,61958717,62129057,62140142,62384222,62923003,63686801,63722128,63855101,64157537,64492817,64574462,64894097,65059598,65263260,65679834,65892257,65903595,66535807,66652637,66685601,67146257,67161100,67235582,67291707,67430788,67781025,67841763,67951348,68128097,68236450,68356157,68439422,69159998,69181144,69219162,69245410,69331347,69614144,69619601,69639662,70297168,70455137,70597262,70876722,70975384,71062301,71253437,71372840,71507837,71687394,71698301,72173201,72299760,72457277,72677777,72772157,72784735,72981182,73062451,73063011,73117601,73242977,73399517,73456238,73949064,74011314,74054801,74085917,74175604,74404622,74559064,74803570,75723617,75938237,76348504,76640657,76948971,77096477,77119744,77126801,77192444,77828787,77940542,78304460,78315912,78752417,78812177,78828267,79084314,79593771,79686295,79823201,79847307,80046542,80109175,80236817,80248695,80294445,80424043,80443037,80593320,80871748,81030077,81117857,81337230,81499011,81883740,81897604,82029178,82140878,82194557,82504795,82858337,83094492,83133784,83192697,83228635,83761742,83878947,83917277,83992718,84377050,84485117,85598608,85647408,85892067,85966208,86252897,86380395,86447357,86669117,86759712,86979775,87051544,87248801,87341682,87342656,87464811,87660701,87770237,88034600,88054015,88105401,88179857,88343201,88422135,88474264,88581998,88750301,89037758,89155601,89532257,89554804,89764284,90120977,90174638,90360701,90599777,90606424,90652817,90667485,91049597,91155101,91286801,91785437,92072801,92092804,92139088,92489057,92760668,93006497,93105988,93469457,93525507,93701314,93788462,93843175,93965352,94006301,94109307,94316944,94397611,94539617,94615517,94623604,94640801,95520701,95588625,95623554,96028382,96087747,96131010,96138628,96291857,96298434,96353334,96366077,96637601,96711984,97524602,97592477,97604676,97616801,97778067,97932987,98031998,98260488,98846717,99005754,99038925,99180701,99533547,99560477,99582302,99675411,99678737,99874362,99891101,...,1137061622935017735700373890873024162913549584714813298246925516757268308685199961260560983790746426394048245770696791175524419099846482429913602321154436900982105664443685410157064220075301656428830460907837433494569174241375926567512702808096951043741858690539924476194458916543825168297436631577736993600505597264670805977745490208069768483326003554122247606770450239474702958403449898730530937180664345498040421557562654793673782604104038279609385400652641965988245391453046291495739030698040181198677017582563026269630693852948853128292349282035164511763289803498367616604106407022849871875621844170677742100352201508841323313144839760972610104148409555362330137565026724151345672297929239291721244056597028973021102634524681819440746953871537167748722472020111803991571116525747200900007051193715502558205500848610468880478488777812276713129843313021824091717337292484205038092375429791742158771210527252232598484711343529482413604560363537948460397047204047200042628716235386203476268099414148947065232050934758020492337952446279076340013095432160403355766816834286330954236284470949215526672059620088825708526789655944964782684924597123866323332940783813720492663969512910017975723149029567351249259910062940663597381785936846873080380243388127346149232240292931100907726959822265613519353131417121982853031952371818775683766879646145665262451504800393444762044924420960666591616479251201418958735755854720151556335179798927395400135135417353194721211713228732390569768607886834027517768814554892797295344672880838236755482523586988988351160967159490921546708468774484965538576529043128796766975579741341264288980232915614368365864521138189552772785511270012416294391590264646743904961960791042623837459829016627095830411423529210416433769798829982642208811904718415907359202651032114450005967248444518827108256202586881738190471818865007715561711988443917993367685473191944745193371882241339477212418440394295262937602956292336103148990224003972542838681175788349229153773259109595792595600292453357289891890461910638915753981102765720730579001855576536269551517681717000595546998765740834781906822159464893414379328104615567253891899712786546181452662338970917748013226608967140961737907515655850060870173319131400720699623763001514924060470289627544507896333791487719713063070840261969559198905672784391510212534015432149345491485290227098497471506165954052080505585914162570031541350701778273015489009366990444659362318365002495102539429511802272224718116843247589134461243925907774717214726184641036372151049012343383604216893157197714228127455578292542203690293099345037276477907029359093548100699459695922788015326118834158584546546055787849053100692993970612994598883941301137240694206333181073354480732061280757913682138281444781577895251181535522603827078578949492795824616766799015503909027998960400670014067563775074101401784455033117912735841361153212601769994353535019462866595842635516052736886035210220100795640431395998616676697994573671654235952059238120092559577856209752690756182630802208699193778670269801414490792432187761928717191677523636608789745423247547340125117883858147769208126949970983609545332934349841699934269393634062871432021351526817252805158400851708618192273513256705873432574394245728929663062248701712011662616183791022955234619547855082555074619423573895389984059003318943065086265782082747603324235004092541351614210758588319862334148056384987366554150889721054280055631722500388722361327779363396617675325072555083611743467648331466298645821452203892707818740225090310665904991734761057672683471881325598798241105763493765597287607122734633841256640396106385847556102856987471637453261376292317763886833671545128774475474356794440461052569}
23203  43364938808825970870489554137716450098628279486090592311129507249527875388017: {23203,46402,185576,208773,765237,1136261,1623230,1947876,2318900,2782680,2848557,2968192,3130515,3339216,3590885,3730853,3756618,4309062,4702901,4843157,5121233,5329790,5756133,5998181,6395748,6718430,6926933,6998997,7482941,7748885,7826493,8062116,8568830,8586053,8666702,9298662,9333077,9478893,10282596,11722502,11951013,12265790,12328036,12362277,12783701,13390526,13594773,14140373,14650085,14718948,15520901,15644613,15664948,15684221,15794438,16026005,16463037,16917533,17461886,17580102,17611480,17615381,17689053,17741477,18028397,18087185,18097293,18262430,19231206,19694693,19812915,20135253,20240966,20805557,20830385,21133776,21704622,21914916,21938033,22060696,22113581,22406030,22434461,22888996,23292917,23775498,23789973,23929862,24818283,24996462,25164830,25319861,26216733,26509912,26620437,26887236,26920901,28840301,28844357,29399501,29427941,29440317,29545575,29550884,29823651,29839096,30024038,30197796,30645597,30913493,31077053,31448037,31515280,31590830,31745585,32049230,32261342,32650077,32705777,33450357,33568983,34249773,34584326,34649157,35248037,35447277,35454690,35860853,36171230,36220676,36514142,37125902,37452653,37818336,37836453,37908996,38077013,38094702,38233893,38271101,38458430,38459076,38520785,38735224,38926526,39269477,39507748,39821493,39963075,40204024,40959256,41057393,41200430,41290997,41682062,42058995,42297542,42545628,42549341,42627280,42673982,42743333,43405476,43577127,44223326,44283603,44395790,44563557,44630417,44862928,45169517,45225557,45229527,45814901,46079163,46150116,46224942,47945585,47955690,48491517,48794213,49406180,49440516,49533437,49784381,50009222,50331677,50470794,51152736,51229790,51747748,51765233,51963185,52163060,52273037,52315142,52660526,52718575,53274948,53451086,53503790,53546597,53837126,53844675,53924381,54342957,55005518,55348238,55636541,55756862,56439640,56634005,57262421,57378917,57434320,57443853,57534702,57546828,57838997,57843797,58885073,59287416,60425060,60533501,60588677,60626462,60912376,61464401,61475748,61510022,61950485,62069277,62103461,62355822,62451235,62595672,62837157,63176180,63262290,63494595,63604173,64204548,64211342,64438022,64613610,64705431,64753077,64866302,64983435,65078116,65239181,65261585,66456038,66698343,66804941,66883192,67337813,67479776,67483301,67727568,67763813,67960806,68327501,68354897,68526423,68689541,68913077,68921184,69315664,69481742,70420131,70519155,71198885,71296037,72217508,72235301,72362757,72470093,72510072,72742061,72854246,73032941,73496757,73662077,74340582,74898782,74941482,75220432,75243591,75312250,75440033,75528398,75637157,75811416,75914748,75962462,76140926,76170101,76193514,76424824,76535558,76887093,76910180,77030275,77034830,77414981,77536332,77929877,77980122,78313902,78388293,78406157,78532142,79107317,79280621,79652660,79979717,80154737,80400926,80621702,80633613,80775677,80829662,81510542,81573831,81579075,82219683,82527326,82574822,83236901,83441597,83941766,83951375,84274853,84288485,84622986,84729837,84939185,85287843,85438662,85842453,85884401,85977927,86290733,86476430,86583117,87017680,87052733,87573112,87602702,87871460,87893093,88269461,88292717,88584878,88638782,88719230,89168637,89216050,89253086,89722276,90374700,90455684,90617318,91290581,91358141,92098757,92292216,92436330,92441796,92505831,92719505,92988881,93086513,93198830,93210213,93569501,93576333,93939902,94502296,95435630,95583192,96195773,96384593,96399680,96490555,96598277,96861693,97285757,97378157,97417348,97589397,97801166,97880575,97894890,98362277,98519751,98598752,98681752,99366797,99560126,99651662,99920501,99957182,...,1516082163913356980933831854497365550551399446286417730995900689009691078246933281680747978387661901858730994360929054900699225466461976573218136428205915867976140885924913880209418960100402208571773947877116577992758898988501235423350270410795934724989144920719899301592611888725100224396582175436982658134007463019561074636993986944093024644434671405496330142360600319299603944537933198307374582907552460664053895410083539724898376805472051039479180534203522621317660521937395055327652040930720241598236023443417368359507591803931804171056465709380219349017719737997823488805475209363799829167495792227570322800469602011788431084193119681296813472197879407149773516753368965535127563063905652388961658742129371964028136846032909092587662605162049556998296629360149071988761488700996267866676068258287336744274001131480625173971318370416368950839791084029098788956449723312273384123167239722322878361614036336310131312948458039309884806080484717264613862729605396266723504954980514937968357465885531929420309401246344027323117269928372101786684127242880537807689089112381774605648379294598954035562746160118434278035719541259953043579899462831821764443921045084960656885292683880023967630865372756468332346546750587551463175714582462497440506991184169794865642987057241467876969279763020818025804175222829310470709269829091700911689172861527553683268673067191259682726565894614222122155305668268558611647674472960202075113573065236527200180180556470926294948950971643187426358143849112036690358419406523729727126230507784315673976698115985317801547956212654562062277958365979954051435372057505062355967439655121685718640310554152491154486028184252737030380681693349888392522120352862325206615947721390165116613105355502794440548564705613888578359731773310189611749206291221209812270201376152600007956331259358436144341603449175650920629091820010287415615984591890657823580630922592993591162509655119302949891253859060350583470608389781470865320298671963390451574901051132305538364345479461056794133723271143053189187282547518554338641470354294307438669140768715026068690242289334127395998354321113042542429545953191219172437472820756338522532950382061575270216451961223664017635478622854615650543354207800081160231092175200960932831684002019898747293719503392677195111721983626284084094453682626078931874230379188680283378687242865793988647053636131329962008221272069440674114552216760042055134269037697353985345822653926212483091153336660136719239349069696299624155790996785512614991901210366289619634912854715162868065349791178138955857542930285637503274104390056271587057465793383035303876039145458064134265946261230384020434825112211446062061407717132070800923991960817326131845255068182987592275110908097805974309415041010551576184375259708770527001575380696805102771438599323727766155689065354005212037331947200893352090085033432135202379273377490550314455148204283469026659138046692617155461123514021403649181380280293467727520575194664822235597326098228872314602745650826790079437141613003587674910174402944932258371560359735219321056576250349238289588903364848811719660564330063120166823845144197025610835933294644812727110579133122266579025858178750495242695135369089670406877867802278157589698017675607831243432525660971906217416331602282682216821578388030606979492730473443406766159231431860519978745337758590753448354376110330137765646672123388468818947678117759816445530741846649822072201186294739040074175630000518296481770372484528823567100096740111482324623531108621731527761936271856943758320300120414221206655646348076896911295841767465064321474351325020796383476163646178455008853861475181130074803809316628849937681835056423685182444895393505032633965809059253948070092}
23204  43519951301960245435542994901578088526112671344033517103927996355319195854419: {69603,162379,231970,278364,602914,718363,857179,1020316,1344034,1411723,1688563,1991674,2434845,2597168,2730874,2898625,2921814,3284602,3478350,3481003,3710240,3755683,3798076,4174020,4441123,4452288,4758394,4851523,5008824,5534083,5634927,5745416,6044602,6411514,6463593,6486643,6869794,7510714,7674844,7968034,7994685,8333602,8527664,8790202,9054379,9155194,9331996,9591643,9593622,10077645,10435324,10521634,10529083,10749488,10976314,11063179,11067202,12093174,12398216,12638524,12853245,12881602,13000053,13710128,13947993,14243563,14900923,15140602,15163363,15410045,15423894,15934684,15951394,16483036,16862203,16992379,17583753,18126364,18398685,18419563,18492054,19092154,19303109,19581185,19625264,19717954,20085789,20859484,20967202,21056314,21950716,22014350,22078422,22835194,22902643,23196173,23282803,23440136,23497422,23585404,23691657,23722234,24129724,24167323,25424803,25491514,25641608,26109209,26192829,26370153,26417220,26425603,26675083,26847004,27393645,27575870,28178368,28484602,28611245,28846809,28939496,29219888,29448994,29711674,29799202,30361449,31110202,31482379,31546402,31604203,31700664,31719964,32330554,32556933,32872374,32939554,33091044,33137390,33181363,33328616,33422923,33609045,33893321,34155202,34333494,34501954,34955644,35105779,35178521,35493916,35663247,35839349,35849648,35894793,36318202,36749602,36938605,37011763,37298870,37494693,37747245,38127394,38385274,39253756,39255062,39394100,39764868,40263728,40330854,40614202,40860796,40956154,41383234,41930716,42273523,42619123,42734179,43067453,43533436,43995043,44326326,44600476,44758644,44785474,44954914,45020179,45036057,45133723,45275845,45296694,45666364,45716602,46198876,46265203,46476994,46603243,47263036,47272920,47320354,47386245,48073845,48246202,48330274,48392013,48419030,48951379,49002274,49384685,49589434,49840834,50255030,50424448,50448604,50545328,50761402,50792936,50978524,51199070,51262714,51267763,51278768,51596602,51876489,53095324,53182035,53284100,53298329,53444323,54256845,54331014,54771213,54843643,55057843,55252474,55688853,56078660,56574202,56727504,56863494,57078379,57142053,57687645,57688614,57809602,57873968,58026403,58102836,58131379,58389789,58522793,59044804,59177179,59261622,59418076,59451202,60112243,60269602,60306036,60651206,61004794,61438884,61533488,61633256,61657723,61757725,61800645,62227234,62523093,63121402,63446313,63693163,63818442,63940920,64010973,64451497,64655356,64661314,64684685,65108214,65203825,65817878,65898883,65920688,66334989,66395323,66593685,66692323,66871721,67185883,67241794,67294392,68203648,69166402,69225174,69239179,69337413,69646114,70549550,70686379,71033264,71737363,71792900,71933535,72117379,72457276,72590779,72685243,72883382,73067194,73463074,73622461,73937602,74093563,74109270,74160774,74363549,75013833,75531325,75706191,75762163,76140470,76313179,76380154,76591804,76626473,76712936,76729104,76844685,77086402,77134843,77478202,77621622,77947834,78244590,78472713,78970225,78990789,79049888,79118803,79431202,79912422,80131834,80176629,80255685,80274763,80520514,80755689,81347645,81967664,82225954,82508277,82689509,82759036,83022357,83141096,83412379,83460896,83603990,83635293,83782876,84349720,84352483,84659460,84805564,85115179,85230202,85606064,85872043,86151480,86273908,86290003,86302053,86302714,86320242,86337436,86346533,86456683,86644580,86837794,87219514,87285763,87905602,88931124,89122114,89729803,90183202,90258874,90271885,90303424,90370603,90614408,90637590,90848179,90927523,90939693,91323163,91368564,91618234,91894912,92030779,92213622,92265033,92421379,93197602,93533733,93872314,93893508,93965779,94022074,94025540,94042243,94651363,94764270,94893435,95143234,95180563,95441602,95531030,96137725,96302683,96306822,96317013,96483676,96657033,96673123,96680096,96920415,96943574,97299453,97617174,97627843,97995676,98353963,98857963,99120776,99215803,99565825,99591874,99684057,99921976,...,2274123245870035471400747781746048325827099169429626596493851033514536617370399922521121967581492852788096491541393582351048838199692964859827204642308873801964211328887370820314128440150603312857660921815674866989138348482751853135025405616193902087483717381079848952388917833087650336594873263155473987201011194529341611955490980416139536966652007108244495213540900478949405916806899797461061874361328690996080843115125309587347565208208076559218770801305283931976490782906092582991478061396080362397354035165126052539261387705897706256584698564070329023526579606996735233208212814045699743751243688341355484200704403017682646626289679521945220208296819110724660275130053448302691344595858478583442488113194057946042205269049363638881493907743074335497444944040223607983142233051494401800014102387431005116411001697220937760956977555624553426259686626043648183434674584968410076184750859583484317542421054504465196969422687058964827209120727075896920794094408094400085257432470772406952536198828297894130464101869516040984675904892558152680026190864320806711533633668572661908472568941898431053344119240177651417053579311889929565369849194247732646665881567627440985327939025820035951446298059134702498519820125881327194763571873693746160760486776254692298464480585862201815453919644531227038706262834243965706063904743637551367533759292291330524903009600786889524089848841921333183232958502402837917471511709440303112670359597854790800270270834706389442423426457464781139537215773668055035537629109785594590689345761676473510965047173977976702321934318981843093416937548969931077153058086257593533951159482682528577960465831228736731729042276379105545571022540024832588783180529293487809923921582085247674919658033254191660822847058420832867539597659965284417623809436831814718405302064228900011934496889037654216512405173763476380943637730015431123423976887835986735370946383889490386743764482678954424836880788590525875205912584672206297980448007945085677362351576698458307546518219191585191200584906714579783780923821277831507962205531441461158003711153072539103035363434001191093997531481669563813644318929786828758656209231134507783799425573092362905324677941835496026453217934281923475815031311700121740346638262801441399247526003029848120940579255089015792667582975439426126141680523939118397811345568783020425068030864298690982970580454196994943012331908104161011171828325140063082701403556546030978018733980889318724636730004990205078859023604544449436233686495178268922487851815549434429452369282072744302098024686767208433786314395428456254911156585084407380586198690074552955814058718187096201398919391845576030652237668317169093092111575698106201385987941225989197767882602274481388412666362146708961464122561515827364276562889563155790502363071045207654157157898985591649233533598031007818055997920801340028135127550148202803568910066235825471682722306425203539988707070038925733191685271032105473772070420440201591280862791997233353395989147343308471904118476240185119155712419505381512365261604417398387557340539602828981584864375523857434383355047273217579490846495094680250235767716295538416253899941967219090665868699683399868538787268125742864042703053634505610316801703417236384547026513411746865148788491457859326124497403424023325232367582045910469239095710165110149238847147790779968118006637886130172531564165495206648470008185082703228421517176639724668296112769974733108301779442108560111263445000777444722655558726793235350650145110167223486935296662932597291642904407785415637480450180621331809983469522115345366943762651197596482211526987531194575214245469267682513280792212771695112205713974943274906522752584635527773667343090257548950948713588880922105138}
23205  43675514266062040387327948722831441486262395288494980906698261722472062266004: {46406,92804,347955,371152,417546,904371,1275395,1530474,2016051,2272522,2987511,3246460,3895752,4096311,4382721,4637800,4747595,4926903,5027239,5217525,5565360,5697114,5723731,5936384,6261030,6678432,7137591,7181770,7461706,7513236,8363287,8618124,9066903,9405802,9593555,9617271,9686314,10242466,10304691,10659580,10848439,11266071,11417387,11512266,11664995,11952051,11996362,12251111,12500403,12791496,13044155,13185303,13436860,13732791,13853866,13997994,14390433,14965882,15497770,15652986,15782451,15798155,16124232,16464471,16600803,17137660,17172106,17333404,18139761,18342883,18597324,18666154,18907831,18957786,19322403,19918355,20510119,20565192,20603795,22240423,22436407,22657955,22710903,23135841,23445004,23902026,23927091,24531580,24656072,24724554,25322059,25567402,26074355,26781052,27173399,27189546,27438395,27738081,27902219,28280746,28638231,28689683,29162539,29300170,29437896,29481755,29576931,30162155,30833623,31041802,31289226,31329896,31368442,31450803,31584471,31588876,31666339,32052010,32926074,33021525,33117633,33233783,33558755,33835066,34252791,34746899,34923772,34948787,35160204,35222960,35230762,35246133,35378106,35482954,35583351,36056794,36174370,36194586,36524860,38237271,38462412,39389386,39553187,39625830,39640379,39649955,40270506,40481932,41363805,41611114,41656771,41660770,41984339,42267552,42300599,42726903,43409244,43694555,43808963,43829832,43876066,44095991,44121392,44173491,44227162,44367395,44443819,44546459,44567511,44698803,44812060,44868922,45229483,45777992,46585834,46665303,47319603,47550996,47579946,47859724,48329303,48495831,48798451,49067195,49242625,49308561,49409331,49636566,49706085,49992924,50329660,50639722,51075995,51232803,51347939,51500241,51752931,52413395,52433466,53019824,53240874,53617163,53774472,53841802,53929099,54144883,54416795,54477303,55124403,55641367,55750595,55948305,57082955,57191091,57577911,57680602,57688714,57748595,58357787,58799002,58849043,58855882,58880634,58882593,59078795,59091150,59101768,59482891,59587547,59647302,59678192,60048076,60395592,60496281,60921303,61291194,61434231,61826986,62074851,62154106,62896074,63030560,63060755,63181660,63345623,63491170,63723155,64053527,64098460,64522684,64842899,64885091,65300154,65356619,65411554,66369155,66489489,66605125,66900714,67123819,67137966,67178211,67432371,67945041,68360851,68499546,68574903,68695507,69168652,69298314,69715491,70098325,70496074,70894554,70909380,70980531,71721706,72342460,72369303,72441352,72495411,72628545,72748459,73028284,73503411,73665703,73806005,73809923,74251804,74272595,74384151,74761251,74905306,75382545,75577451,75636672,75672906,75817992,76142103,76154026,76189404,76467786,76542202,76798605,76894071,76916860,76918152,77041319,77041570,77394903,77470448,77853052,78538954,78544643,79015496,79287607,79642986,79772099,79926150,80365847,80408048,80750683,80819195,81496521,81918512,82114786,82400860,82581994,82801819,82878711,83364124,84117990,84315331,84595084,84861303,85091256,85098682,85254560,85295241,85347964,85486666,86532921,86714403,86730679,86810952,86853803,87154254,87431729,88446652,88567206,88606499,88791580,88892433,89127114,89176803,89260834,89725856,89741125,90339034,90404403,90451114,90459054,90571595,90976809,91366219,91507191,91533947,91629802,92158326,92300232,92449884,92996947,93340851,94682103,94703351,95503883,95727663,95739755,95891170,95911380,96102743,96983034,96991971,97294231,97588426,97662321,97872179,98370883,98726817,98812360,98881032,99066874,99499667,99568762,99678439,...,3411184868805053207101121672619072488740648754144439894740776550271804926055599883781682951372239279182144737312090373526573257299539447289740806963463310702946316993331056230471192660225904969286491382723512300483707522724127779702538108424290853131225576071619773428583376749631475504892309894733210980801516791794012417933236470624209305449978010662366742820311350718424108875210349696191592811541993036494121264672687964381021347812312114838828156201957925897964736174359138874487217092094120543596031052747689078808892081558846559384877047846105493535289869410495102849812319221068549615626865532512033226301056604526523969939434519282917830312445228666086990412695080172454037016893787717875163732169791086919063307903574045458322240861614611503246167416060335411974713349577241602700021153581146507674616502545831406641435466333436830139389529939065472275152011877452615114277126289375226476313631581756697795454134030588447240813681090613845381191141612141600127886148706158610428804298242446841195696152804274061477013857338837229020039286296481210067300450502858992862708853412847646580016178860266477125580368967834894348054773791371598969998822351441161477991908538730053927169447088702053747779730188821990792145357810540619241140730164382038447696720878793302723180879466796840558059394251365948559095857115456327051300638938436995787354514401180334286134773262881999774849437753604256876207267564160454669005539396782186200405406252059584163635139686197171709305823660502082553306443664678391886034018642514710266447570760966965053482901478472764640125406323454896615729587129386390300926739224023792866940698746843105097593563414568658318356533810037248883174770793940231714885882373127871512379487049881287491234270587631249301309396489947926626435714155247722077607953096343350017901745333556481324768607760645214571415456595023146685135965331753980103056419575834235580115646724018431637255321182885788812808868877008309446970672011917628516043527365047687461319777328787377786800877360071869675671385731916747261943308297162191737005566729608808654553045151001786640996297222504345720466478394680243137984313846701761675699138359638544357987016912753244039679826901422885213722546967550182610519957394202162098871289004544772181410868882633523689001374463159139189212520785908677596717018353174530637602046296448036474455870681295492414518497862156241516757742487710094624052105334819046467028100971333978086955095007485307618288535406816674154350529742767403383731777723324151644178553923109116453147037030150812650679471593142684382366734877626611070879298035111829433721088077280644302098379087768364045978356502475753639638167363547159302078981911838983796651823903411722082618999543220063442196183842273741046414844334344733685753544606567811481235736848478387473850300397046511727083996881202010042202691325222304205353365099353738207524083459637805309983060605058388599787527906548158210658105630660302386921294187995850030093983721014962707856177714360277678733568629258072268547892406626097581336010809404243472377296563285786151575032570909826369236269742642020375353651574443307624380849912950828635998803049525099802808180902188614296064054580451758415475202555125854576820539770117620297723182737186788989186746105136034987848551373068865703858643565247665223858270721686169952177009956829195258797346248242809972705012277624054842632275764959587002444169154962099662452669163162840166895167501166167083983338090189853025975217665250835230402944994398895937464356611678123456220675270931997714975204283173018050415643976796394723317290481296791862821368203901523769921188319157542668308570962414912359784128876953291660501014635386323426423070383321383157707}
23206  43831629643086904883138097938038805885168585665724667153949393493866365854312: {69609,116005,139206,324758,394213,463940,556728,626319,1088473,1205828,1436726,1714358,2040632,2057413,2295711,2471593,2688068,2823446,3377126,3408783,3435493,3847513,3983348,4058075,4121833,4869690,5194336,5352709,5461748,5797250,5843628,6034009,6170053,6569204,6956700,6962006,7420480,7511366,7596152,7932073,8067109,8348040,8545671,8875813,8882246,8904576,9391545,9516788,9547753,9703046,10017648,10619113,10772655,10886233,11068166,11192559,11269854,11490832,11552773,12089204,12748009,12823028,12880453,12927186,12973286,13277353,13324475,13409509,13739588,14108703,14529471,15021428,15349688,15363699,15936068,15989370,16667204,16796075,17055328,17268399,17340709,17580404,17859973,17994543,18108758,18119173,18310388,18663992,18765913,19153093,19183286,19187244,19282009,20155290,20695333,20780799,20870648,20996991,21043268,21058166,21079273,21422075,21498976,21574063,21666755,21717733,21952628,22126358,22134404,22448823,22481509,23242693,23246655,23479479,24186348,24253573,24796432,25277048,25706490,25758159,25763204,26000106,26261509,27009733,27413659,27420256,27895986,27999231,28003333,28436679,28487126,29306255,29801846,29853913,30281204,30326726,30664475,30820090,30843263,30847788,31200709,31322713,31869368,31902788,32417509,32966072,33023209,33476315,33724406,33747673,33984758,34709593,34949353,35167506,35308453,35853039,36252728,36797370,36839126,36984108,37086831,38184308,38275753,38351103,38606218,38981209,39162370,39250528,39435908,39486095,40055743,40171578,40267813,40784319,41718968,41934404,42008233,42112628,42421119,42929833,43618009,43654715,43901432,43950255,44028700,44156844,44303593,45656075,45670388,45805286,46392346,46562703,46565606,46880272,46933839,46994844,47020009,47052663,47170808,47383314,47444468,47468713,47654519,48078015,48251173,48259448,48334646,48696709,49141093,49389111,49915993,50247013,50602415,50752599,50797273,50849606,50897899,50983028,51016873,51283216,51714047,52218418,52385658,52546009,52740306,52834440,52846143,52851206,53067159,53197033,53224431,53350166,53694008,54085191,54261555,54291879,54598693,54706009,54787290,55151740,55348393,55881733,56015075,56356736,56969204,57222490,57693618,57786853,57878992,58439776,58521433,58897988,59043973,59084079,59423348,59438745,59598404,59824655,59876293,60405759,60722898,61013209,62039209,62141413,62220404,62416671,62491155,62912075,62964758,63092804,63208406,63386183,63401328,63439928,64170373,64661108,64973893,65113866,65744748,65814099,65879108,66182088,66274780,66340743,66362726,66657232,66845846,67218090,67303383,67553509,67786642,68310404,68435113,68666988,69003908,69138559,69878751,69911288,70211558,70357042,70949209,70987832,71326494,71369919,71678698,71699296,71789586,72636404,73414633,73499204,73789609,73877210,74023526,74256709,74454849,74597740,74989386,75060095,75494490,75555013,75959583,76015273,76169951,76254788,76770548,77566693,78507512,78510124,78650199,78739033,78788200,78828709,78977075,79529736,79861311,80123075,80527456,80653355,80661708,80695273,80762703,81135013,81228404,81721592,81834853,81912308,82283927,82766468,82875973,83564293,83650009,83861432,84077509,84547046,85238246,85468358,86134906,86460815,86520903,86533071,87008363,87019609,87066872,87990086,88198503,88253509,88283823,88320951,88636725,88652652,89200952,89390533,89470953,89517288,89570948,89909828,89953753,90040358,90072114,90194053,90267446,90428075,90551690,90558559,90593388,90672709,91285355,91332728,91433204,91936791,92171353,92397752,92530406,92740479,92814755,92949673,92953988,93206486,93231159,94344111,94526072,94545840,94640708,94772490,94863973,94939609,95236755,96139993,96146075,96147690,96363013,96492404,96660548,96784026,96838060,97101733,97316315,97902758,97950231,98004548,98117331,98769370,99178868,99681668,99984613,...,4548246491740070942801495563492096651654198338859253192987702067029073234740799845042243935162985705576192983082787164702097676399385929719654409284617747603928422657774741640628256880301206625715321843631349733978276696965503706270050811232387804174967434762159697904777835666175300673189746526310947974402022389058683223910981960832279073933304014216488990427081800957898811833613799594922123748722657381992161686230250619174695130416416153118437541602610567863952981565812185165982956122792160724794708070330252105078522775411795412513169397128140658047053159213993470466416425628091399487502487376682710968401408806035365293252579359043890440416593638221449320550260106896605382689191716957166884976226388115892084410538098727277762987815486148670994889888080447215966284466102988803600028204774862010232822003394441875521913955111249106852519373252087296366869349169936820152369501719166968635084842109008930393938845374117929654418241454151793841588188816188800170514864941544813905072397656595788260928203739032081969351809785116305360052381728641613423067267337145323816945137883796862106688238480355302834107158623779859130739698388495465293331763135254881970655878051640071902892596118269404997039640251762654389527143747387492321520973552509384596928961171724403630907839289062454077412525668487931412127809487275102735067518584582661049806019201573779048179697683842666366465917004805675834943023418880606225340719195709581600540541669412778884846852914929562279074431547336110071075258219571189181378691523352947021930094347955953404643868637963686186833875097939862154306116172515187067902318965365057155920931662457473463458084552758211091142045080049665177566361058586975619847843164170495349839316066508383321645694116841665735079195319930568835247618873663629436810604128457800023868993778075308433024810347526952761887275460030862246847953775671973470741892767778980773487528965357908849673761577181051750411825169344412595960896015890171354724703153396916615093036438383170382401169813429159567561847642555663015924411062882922316007422306145078206070726868002382187995062963339127627288637859573657517312418462269015567598851146184725810649355883670992052906435868563846951630062623400243480693276525602882798495052006059696241881158510178031585335165950878852252283361047878236795622691137566040850136061728597381965941160908393989886024663816208322022343656650280126165402807113092061956037467961778637449273460009980410157718047209088898872467372990356537844975703631098868858904738564145488604196049373534416867572628790856912509822313170168814761172397380149105911628117436374192402797838783691152061304475336634338186184223151396212402771975882451978395535765204548962776825332724293417922928245123031654728553125779126311581004726142090415308314315797971183298467067196062015636111995841602680056270255100296405607137820132471650943365444612850407079977414140077851466383370542064210947544140840880403182561725583994466706791978294686616943808236952480370238311424839010763024730523208834796775114681079205657963169728751047714868766710094546435158981692990189360500471535432591076832507799883934438181331737399366799737077574536251485728085406107269011220633603406834472769094053026823493730297576982915718652248994806848046650464735164091820938478191420330220298477694295581559936236013275772260345063128330990413296940016370165406456843034353279449336592225539949466216603558884217120222526890001554889445311117453586470701300290220334446973870593325865194583285808815570831274960900361242663619966939044230690733887525302395192964423053975062389150428490938535365026561584425543390224411427949886549813045505169271055547334686180515097901897427177761844210276}
23207  43988299381796182031420449088464608618767120555028698296867341154213372113665: {92812,185608,208809,487137,579925,695910,742304,835092,1507285,1785553,1808742,2155089,2550790,2571537,3060948,3360085,4032102,4235169,4545044,4979185,5065689,5862769,5975022,6492920,6646633,6696997,6827185,7304535,7390273,7791504,8192622,8211505,8695875,8765442,9058297,9275600,9425713,9495190,9853806,10054478,10435050,10443009,11130720,11267049,11394228,11447462,11872768,11895985,12204793,12522060,12760609,13323369,13356864,13430977,13492369,14275182,14363540,14554569,14923412,15026472,15111505,16028785,16330993,16602249,16726574,16904781,17174485,17236248,18133806,18261817,18491257,18776785,18811604,19187110,19234542,19372628,19390779,19459929,19920085,20088673,20484932,20609382,20834005,21319160,21696878,21823849,21975505,22117417,22532142,22834774,22887985,23024532,23200393,23329990,23904102,23984055,23992724,24502222,24646633,25000806,25582992,26088310,26304085,26370606,26873720,27163137,27440785,27465582,27668005,27681313,27707732,27885697,27995988,28196689,28688197,28774929,28780866,28845313,29931764,30232935,30995540,31184833,31305972,31527553,31564902,31587249,31596310,31721137,32114017,32204005,32248464,32928942,33189537,33201606,33905989,34275320,34344212,34666808,34749913,35254153,35623297,36279522,36504097,36685766,37194648,37332308,37815662,37851505,37915572,38413753,38559735,38644806,39000159,39060409,39276289,39788353,39836710,39878485,40425337,40893973,41020238,41064517,41130384,41207590,41274457,41843979,42227017,42280993,42304273,42730689,42769093,44303953,44480846,44702769,44872814,45315910,45320473,45332437,45421806,45490089,46230135,46271682,46719457,46890008,46923673,46982257,47730385,47804052,47854182,48835369,49063160,49294885,49312144,49449108,49793017,49991617,50586609,50644118,50977137,51134804,51352393,51507097,51774229,52148710,52418005,52640785,52751259,52919809,53562104,53690437,54346798,54379092,54678889,54876790,55035875,55196055,55258689,55476162,55509937,55804438,56352769,56561492,57087985,57116449,57276462,57379366,57388873,57909327,58325078,58362853,58600340,58743555,58854169,58875792,58963510,59141113,59153862,59305585,59961529,60257367,60324310,60681073,61172377,61667246,62083604,62114353,62578452,62659792,62736884,62901606,63168942,63177752,63332678,63452953,63697033,63728785,63807817,64104020,64926853,65223409,65852148,66043050,66224833,66235266,66467566,67117510,67349497,67670132,67692997,68505582,68694073,68707929,68939675,69458689,69493798,69548869,69588519,69847544,69848409,69897574,70022473,70320408,70445920,70461524,70492266,70756212,70900177,70965908,71074971,71166702,71211505,71506393,71589313,72113588,72348740,72389172,72501969,73045633,73049720,73378753,73622485,74279185,74498005,74778793,74863009,76005733,76183513,76274409,76474542,76632517,76924824,77003557,77775505,78050833,78327627,78578487,78778772,78866005,79106374,79110459,79211497,79251660,79276809,79280758,79299910,79916137,80025249,80541012,80789689,80826385,80848033,80963864,81981937,82180935,82348885,82376089,82710313,82727610,82843475,83090113,83150497,83222228,83313542,83321540,83968678,84535104,84601198,84738313,85388005,85453806,85699753,85833735,86254885,86305729,86540427,86818488,87229909,87389110,87617926,87659664,87752132,88191982,88242784,88285057,88346982,88408297,88454324,88614217,88734790,88887638,89092918,89135022,89212417,89300389,89387173,89397606,89624120,89737844,90458966,90795505,91084347,91239193,91306417,91541893,91555984,91560769,91874005,92870209,92916817,93171668,93247175,93330606,94276117,94447137,94639206,94812609,95101992,95124073,95159892,95318485,95719448,95761489,95963185,96401317,96505993,96658606,96991662,97395049,97591153,97596902,97670799,97846633,98134390,98137655,98485250,98617122,98818662,99030793,99273132,99412170,99508309,99544089,99985848,...,6822369737610106414202243345238144977481297508288879789481553100543609852111199767563365902744478558364289474624180747053146514599078894579481613926926621405892633986662112460942385320451809938572982765447024600967415045448255559405076216848581706262451152143239546857166753499262951009784619789466421961603033583588024835866472941248418610899956021324733485640622701436848217750420699392383185623083986072988242529345375928762042695624624229677656312403915851795929472348718277748974434184188241087192062105495378157617784163117693118769754095692210987070579738820990205699624638442137099231253731065024066452602113209053047939878869038565835660624890457332173980825390160344908074033787575435750327464339582173838126615807148090916644481723229223006492334832120670823949426699154483205400042307162293015349233005091662813282870932666873660278779059878130944550304023754905230228554252578750452952627263163513395590908268061176894481627362181227690762382283224283200255772297412317220857608596484893682391392305608548122954027714677674458040078572592962420134600901005717985725417706825695293160032357720532954251160737935669788696109547582743197939997644702882322955983817077460107854338894177404107495559460377643981584290715621081238482281460328764076895393441757586605446361758933593681116118788502731897118191714230912654102601277876873991574709028802360668572269546525763999549698875507208513752414535128320909338011078793564372400810812504119168327270279372394343418611647321004165106612887329356783772068037285029420532895141521933930106965802956945529280250812646909793231459174258772780601853478448047585733881397493686210195187126829137316636713067620074497766349541587880463429771764746255743024758974099762574982468541175262498602618792979895853252871428310495444155215906192686700035803490667112962649537215521290429142830913190046293370271930663507960206112839151668471160231293448036863274510642365771577625617737754016618893941344023835257032087054730095374922639554657574755573601754720143739351342771463833494523886616594324383474011133459217617309106090302003573281992594445008691440932956789360486275968627693403523351398276719277088715974033825506488079359653802845770427445093935100365221039914788404324197742578009089544362821737765267047378002748926318278378425041571817355193434036706349061275204092592896072948911741362590984829036995724312483033515484975420189248104210669638092934056201942667956173910190014970615236577070813633348308701059485534806767463555446648303288357107846218232906294074060301625301358943186285368764733469755253222141758596070223658867442176154561288604196758175536728091956713004951507279276334727094318604157963823677967593303647806823444165237999086440126884392367684547482092829688668689467371507089213135622962471473696956774947700600794093023454167993762404020084405382650444608410706730198707476415048166919275610619966121210116777199575055813096316421316211261320604773842588375991700060187967442029925415712355428720555357467137258516144537095784813252195162672021618808486944754593126571572303150065141819652738472539485284040750707303148886615248761699825901657271997606099050199605616361804377228592128109160903516830950405110251709153641079540235240595446365474373577978373492210272069975697102746137731407717287130495330447716541443372339904354019913658390517594692496485619945410024555248109685264551529919174004888338309924199324905338326325680333790335002332334167966676180379706051950435330501670460805889988797791874928713223356246912441350541863995429950408566346036100831287953592789446634580962593583725642736407803047539842376638315085336617141924829824719568257753906583321002029270772646852846140766642766315414}
23208  44145525437780703555732592324565293151470116660885056053101830774750210532539: {116015,139218,162407,232010,255167,278412,440591,649516,788426,927880,949847,1043865,1113456,1252638,2176946,2411656,2517791,2713113,2873452,2931287,3160727,3428716,3435791,3481607,3826185,3847847,4081264,4114826,4122191,4167887,4396247,4533167,4591422,4943186,5376136,5646892,5681305,6048153,6215927,6754252,6817566,6870986,7030607,7572287,7695026,7707527,7932767,7966696,7977791,8116150,8243666,8962533,9055967,9145607,9593327,9739380,9816887,9995591,10388672,10397207,10620047,10705418,10923496,11065127,11154047,11331791,11553791,11594500,11687256,12068018,12288933,12340106,12616607,12881591,12925727,13138408,13148163,13278527,13913400,13924012,14242785,14465447,14780709,14840960,14859791,15022732,15081717,15192304,15253487,15652575,15864146,16134218,16343687,16604591,16696080,17082167,17091342,17171193,17751626,17764492,17809152,17954425,18163967,18509087,18654265,18767591,18783090,19033576,19095506,19197791,19406092,20035296,20697191,20867927,21238226,21412773,21545310,21772466,22136332,22385118,22539708,22610591,22981664,23105546,23244791,23287007,23497967,23514505,24178408,24215785,24255767,24675647,24927191,25089861,25496018,25606165,25646056,25760906,25805327,25854372,25946572,26013887,26554706,26648950,26763047,26819018,27053687,27200709,27479176,28047191,28217406,28418567,28780665,28851813,29036087,29058942,29856647,29990905,30042856,30333457,30699376,30714791,30727398,30914073,31569407,31872136,31975127,31978740,32177687,32545317,33334408,33592150,33750791,33798213,34110656,34252161,34512767,34536798,34634665,34681418,34712807,34752791,34952591,34992527,34994985,35160808,35719946,35856153,35989086,36217516,36238346,36451129,36620776,36741791,36753333,36979127,37327984,37374047,37414705,37501209,37531826,38306186,38318591,38366572,38374488,38554007,38564018,38744425,38749967,39132465,39141287,39555909,39726767,39843647,40271591,40310580,41028757,41085887,41198373,41390666,41561598,41741296,41993982,42086536,42116332,42158546,42166127,42358367,42742247,42844150,42930265,42972191,42997952,43148126,43163591,43171299,43333510,43435466,43736591,43905256,44079527,44252716,44268808,44897646,44963018,45104447,46349207,46485386,46493310,46665385,46866841,46958958,47347353,47394465,47510591,47846327,48255791,48292967,48372696,48507146,49034807,49393413,49592864,49802409,49920791,50554096,50618927,51021791,51350687,51412980,51516318,51526408,52000212,52523018,53260933,53742791,54019466,54419283,54604007,54639791,54827318,54840512,55028649,55139927,55280533,55353791,55791972,55887191,55922687,55998462,56006666,56318977,56560247,56723493,56736887,56873358,56974252,57089567,57160007,57476591,57967209,58037807,58212767,58612510,59570591,59603692,59707826,59755065,60562408,60653452,61116601,61328950,61530357,61640180,61669967,61686526,61695576,61811385,61977191,62401418,62645426,62657591,62962727,63738736,63805576,63806927,63918505,64311047,64512191,64835018,65013791,65213927,65932144,66011591,66046418,66474767,66721269,66952630,67166591,67309221,67448812,67462007,67495346,67969516,67973865,68132709,68148791,68279207,68474591,68832047,68961791,69156167,69407523,69414887,69419186,69737567,69898706,70335012,70616906,70701865,70843381,71084087,71179727,71706078,71781273,71815487,72195407,72479591,72505456,72794591,73140167,73234247,73250425,73422191,73594740,73678252,73968216,74077727,74173662,75131591,75409007,75593591,75966177,76368616,76551506,76664591,76702206,76847207,77212436,77241887,77604505,77605007,77962418,78223065,78324740,78421105,78501056,78747287,78777191,78871816,78926591,78972190,79195007,79492487,80111486,80130025,80262191,80343156,80535626,80733167,81143591,81260567,81520197,81568638,81872591,82017791,82315185,83057327,83214243,83437936,83487407,83706657,83754517,83868808,84016466,84225256,84285407,84427247,84587665,84842238,84851567,85470647,85859666,85890527,85914693,86069049,86863247,87236018,87309430,87487617,87689207,87802864,87900510,88057400,88076905,88313688,88445265,88607186,88707385,88730793,89963591,90019033,90141985,90390407,90435925,90470207,90486465,91158791,91312150,91340776,91553591,91610572,91815791,91964389,92051087,92103287,92181527,92500869,92597591,92784692,92959967,93125406,93131212,93217847,93760544,93867678,93986687,93989688,94037687,94040018,94105326,94114127,94341616,94352409,94647191,94753413,94766628,94874567,94888936,94937426,94999017,95309038,95927087,96156030,96373847,96398591,96502346,96518896,96669292,97039127,97137191,97244641,97393418,97406207,97722887,98282186,98376287,98473465,98778222,99064575,99071591,99286007,99352899,99428591,99665591,99701349,99831986,99925367,99996047,...,10233554606415159621303365017857217466221946262433319684222329650815414778166799651345048854116717837546434211936271120579719771898618341869222420890389932108838950979993168691413577980677714907859474148170536901451122568172383339107614325272872559393676728214859320285750130248894426514676929684199632942404550375382037253799709411872627916349934031987100228460934052155272326625631049088574778434625979109482363794018063893143064043436936344516484468605873777693894208523077416623461651276282361630788093158243067236426676244676539678154631143538316480605869608231485308549436957663205648846880596597536099678903169813579571909818303557848753490937335685998260971238085240517362111050681363153625491196509373260757189923710722136374966722584843834509738502248181006235924140048731724808100063460743439523023849507637494219924306399000310490418168589817196416825456035632357845342831378868125679428940894745270093386362402091765341722441043271841536143573424836424800383658446118475831286412894727340523587088458412822184431041572016511687060117858889443630201901351508576978588126560238542939740048536580799431376741106903504683044164321374114796909996467054323484433975725616190161781508341266106161243339190566465972376436073431621857723422190493146115343090162636379908169542638400390521674178182754097845677287571346368981153901916815310987362063543203541002858404319788645999324548313260812770628621802692481364007016618190346558601216218756178752490905419058591515127917470981506247659919330994035175658102055927544130799342712282900895160448704435418293920376218970364689847188761388159170902780217672071378600822096240529315292780690243705974955069601430111746649524312381820695144657647119383614537138461149643862473702811762893747903928189469843779879307142465743166232823859289030050053705236000669443974305823281935643714246369785069440055407895995261940309169258727502706740346940172055294911765963548657366438426606631024928340912016035752885548130582095143062383959331986362133360402632080215609027014157195750241785829924891486575211016700188826425963659135453005359922988891667513037161399435184040729413952941540105285027097415078915633073961050738259732119039480704268655641167640902650547831559872182606486296613867013634316544232606647900571067004123389477417567637562357726032790151055059523591912806138889344109423367612043886477243555493586468724550273227463130283872156316004457139401084302914001934260865285022455922854865606220450022463051589228302210151195333169972454932535661769327349359441111090452437952038414779428053147100204632879833212637894105335488301163264231841932906295137263305092137935069507427260918914502090641477906236945735516951389955471710235166247856998629660190326588551526821223139244533003034201057260633819703434443707210545435162421550901191139535181251990643606030126608073975666912616060095298061214622572250378913415929949181815175165799362583719644474631974316891980907160763882563987550090281951163044888123568533143080833036200705887774216805643677219878292744008032428212730417131889689857358454725097712729479107708809227926061126060954723329922873142549738852485907996409148575299408424542706565842888192163741355275246425607665377563730461619310352860893169548211560366967560238315408104963545654119206597111575930695742995671574812165058509856531029870487585776392038744728429918115036832872164527896827294878761007332507464886298987358007489488520500685502503498501251950014270569559077925652995752505691208834983196687812393069835034370368662025812795993144925612849519054151246931930389184169951871443890375588464104611704571309763564957472628004925712887244737079352386630859874981503043906158970279269211149964149473121}
23209  44303309773484566409323211031149006540263905096508065803790497286173246821734: {23209,185624,208827,348015,371216,417618,811895,974274,1159850,1182639,1391820,1484608,1670184,1878957,2110199,3014570,3265419,3571106,3591815,3617484,4285895,4310178,4704119,5101580,5143074,6121896,6172239,6720170,6887133,6928727,6970859,7058615,7414779,7484879,7899947,8064204,8442815,8470338,8733959,9090088,9558059,9958370,10123979,10131378,10226349,10306479,11139479,11496107,11542539,11725538,11950044,12174225,12365499,12985840,13293266,13393994,13640651,13654370,14493125,14609070,14780546,15583008,15945527,16058127,16385244,16423010,16654379,17047547,17391750,17405015,17530884,18102027,18116594,18510159,18551200,18778415,18851426,18990380,19707612,20108956,20666699,20870100,20886018,21156107,22205615,22261440,22440299,22534098,22788456,22888427,22894924,23741159,23745536,23791970,23796219,23986847,24044279,24201327,24257615,24409586,24832439,25044120,25521218,25637013,25929851,26287499,26627439,26646738,26713728,26861954,26984738,27670415,27888119,28174635,28550364,28643259,28727080,29109138,29127839,29167607,29846824,30052944,30223010,30765707,31857339,32043179,32057570,32063279,32230187,32317965,32433215,32658699,32661986,32714279,33204498,33453148,33577677,33701867,33809562,34348970,34472496,34658319,35089727,35257211,36267612,36523634,36825719,36982514,37553570,37623208,38244027,38374220,38417099,38469084,38641359,38735207,38745256,38781558,38919858,39791807,39832059,39840170,39973425,40177346,40228527,40969864,41068079,41218764,41663999,41668010,42326109,42638320,43393756,43588413,43647698,43714247,43951010,44234834,45064284,45085607,45181259,45271895,45669548,45775970,45826847,46049064,46091097,46400786,46659980,47022599,47800751,47808204,47958215,47968110,47985448,49004444,49293266,49995959,50001612,50388225,51165984,51805197,52022127,52176620,52608170,52645415,52741212,52992107,53560559,53579919,53747440,53983629,54326274,54357519,54474239,54881570,54931164,55315895,55336010,55362626,55415464,55651019,55771394,55829879,55991976,56297739,56393378,56569451,57376394,57393851,57459279,57549858,57561732,57690626,57714527,57846027,59146247,59863528,60006959,60465870,61991080,62085999,62342397,62369666,62390399,62611944,62990973,63055106,63129804,63174498,63192620,63237819,63442274,63813359,64228034,64266225,64408010,64496928,64722189,65000265,65153199,65229071,65857884,66098891,66379074,66403212,66548219,66598727,66822539,67346469,67355339,67444527,67811978,68550640,68688424,69012839,69333616,69404567,69499826,69554927,69728079,69739965,69840287,70438437,70508306,70804847,71217815,71246594,71314619,72559044,72760719,72927431,73008194,73371532,73385207,73697099,74389296,74504615,74664616,75631324,75656879,75703010,75816815,75831144,76526507,76827506,77050225,77119470,77274477,77289612,77785319,78000318,78120818,78260411,78426539,78552578,78784527,79576706,79673420,79756970,79923179,80850674,81029199,81787946,82040476,82129034,82240977,82260768,82415180,82548914,83027819,83157719,83687958,83997693,84009999,84311015,84454034,84561986,84608546,84745727,84904199,84961895,85310037,85461378,85538186,85906727,86062799,86216327,87918765,88607906,88961692,89220299,89394959,89405538,89561739,89745628,90631820,90640946,90664874,90843612,90980178,91753367,91993425,92097815,92460270,92529789,92543364,92878271,93013079,93438914,93602127,93780016,93847346,93964514,93968139,94332047,95460770,95608104,95708364,96409679,96515545,97252527,97670738,97855127,97905925,98126320,98589770,98624288,98898216,99039419,99069627,99275051,99586034,99696107,99903311,99983234,...,13644739475220212828404486690476289954962595016577759578963106201087219704222399535126731805488957116728578949248361494106293029198157789158963227853853242811785267973324224921884770640903619877145965530894049201934830090896511118810152433697163412524902304286479093714333506998525902019569239578932843923206067167176049671732945882496837221799912042649466971281245402873696435500841398784766371246167972145976485058690751857524085391249248459355312624807831703591858944697436555497948868368376482174384124210990756315235568326235386237539508191384421974141159477641980411399249276884274198462507462130048132905204226418106095879757738077131671321249780914664347961650780320689816148067575150871500654928679164347676253231614296181833288963446458446012984669664241341647898853398308966410800084614324586030698466010183325626565741865333747320557558119756261889100608047509810460457108505157500905905254526327026791181816536122353788963254724362455381524764566448566400511544594824634441715217192969787364782784611217096245908055429355348916080157145185924840269201802011435971450835413651390586320064715441065908502321475871339577392219095165486395879995289405764645911967634154920215708677788354808214991118920755287963168581431242162476964562920657528153790786883515173210892723517867187362232237577005463794236383428461825308205202555753747983149418057604721337144539093051527999099397751014417027504829070256641818676022157587128744801621625008238336654540558744788686837223294642008330213225774658713567544136074570058841065790283043867860213931605913891058560501625293819586462918348517545561203706956896095171467762794987372420390374253658274633273426135240148995532699083175760926859543529492511486049517948199525149964937082350524997205237585959791706505742856620990888310431812385373400071606981334225925299074431042580858285661826380092586740543861327015920412225678303336942320462586896073726549021284731543155251235475508033237787882688047670514064174109460190749845279109315149511147203509440287478702685542927666989047773233188648766948022266918435234618212180604007146563985188890017382881865913578720972551937255386807046702796553438554177431948067651012976158719307605691540854890187870200730442079829576808648395485156018179088725643475530534094756005497852636556756850083143634710386868073412698122550408185185792145897823482725181969658073991448624966067030969950840378496208421339276185868112403885335912347820380029941230473154141627266696617402118971069613534927110893296606576714215692436465812588148120603250602717886372570737529466939510506444283517192140447317734884352309122577208393516351073456183913426009903014558552669454188637208315927647355935186607295613646888330475998172880253768784735369094964185659377337378934743014178426271245924942947393913549895401201588186046908335987524808040168810765300889216821413460397414952830096333838551221239932242420233554399150111626192632842632422522641209547685176751983400120375934884059850831424710857441110714934274517032289074191569626504390325344043237616973889509186253143144606300130283639305476945078970568081501414606297773230497523399651803314543995212198100399211232723608754457184256218321807033661900810220503418307282159080470481190892730948747155956746984420544139951394205492275462815434574260990660895433082886744679808708039827316781035189384992971239890820049110496219370529103059838348009776676619848398649810676652651360667580670004664668335933352360759412103900870661003340921611779977595583749857426446712493824882701083727990859900817132692072201662575907185578893269161925187167451285472815606095079684753276630170673234283849659649439136515507813166642004058541545293705692281533285532630828}
23210  44461654358228991621902823765674369877115242625909761378845759918658007896065: {162421,232030,278436,301561,324814,464020,510334,556824,626427,857401,881182,996181,1299032,1461411,1550581,1576852,1739775,1827349,1855760,1899694,2087730,2226912,2505276,3206869,3481909,3619321,4168249,4353892,4442281,4521855,4579189,4823312,5035582,5356659,5426226,5746904,5862574,6321454,6376975,6465267,6857432,6871582,6963214,7652370,7695694,7714611,7953827,7978489,8162528,8229652,8244382,8335774,8792494,9066334,9182844,9862441,9886372,10080255,10752272,11293784,11362610,12096306,12263929,12431854,12705507,12926869,13508504,13635132,13741972,14061214,14510581,14904889,14937555,15144574,15197067,15390052,15415054,15865534,15933392,15953209,15955582,16232300,16345141,16487332,16996921,17257129,17588307,17925066,18111934,18291214,18553849,19186654,19478760,19633774,19939899,19991182,20090991,20228821,20481555,20485429,20777344,20794414,20869801,21240094,21410836,21846992,21913605,22130254,22170819,22308094,22654969,22663582,23035669,23107582,23189000,23289109,23374512,23542261,23737975,24047701,24136036,24577866,24634515,24677881,24680212,25136195,25233214,25763182,25807669,25851454,26087625,26115971,26276816,26296326,26557054,26682361,27174891,27429289,27826800,27848024,28277139,28485570,28618655,28930894,29561418,29681920,29719582,30045464,30163434,30384608,30506974,31002901,31305150,31329027,31612921,31728292,31734709,31978069,32221141,32268436,32687374,32920307,33209182,33392160,33552889,33801147,33902099,34164334,34182684,34342386,34515961,34756009,34995769,35503252,35528984,35618304,35687955,35848631,35908850,36327934,36428281,36614379,37018174,37022101,37308530,37535182,37566180,38067152,38086441,38191012,38281827,38395582,38812184,39144949,39970107,40070592,40292931,40477107,41128441,41394382,41735854,41816435,41987267,42400789,42476452,42746281,42825546,43078607,43090620,43435321,43544932,43663707,44121769,44272664,44770236,45079416,45146581,45221182,45334515,45826549,45963328,46211092,46489582,46574014,46995934,47029010,47178709,47739049,47967775,48086355,48297589,48356816,48431570,48488531,48511534,48992979,49351294,49806747,49854382,50179722,50623801,50714343,50992036,51172981,51212330,51292112,51521812,51523455,51610654,51708744,51829621,51893144,52027774,52380587,53109412,53297900,53526094,53638036,53891881,54107374,54242195,54401418,54430261,54645109,54785451,54958352,54966841,55180969,55473771,55928149,56094382,56330355,56434812,56565781,56837134,57086935,57200821,57561330,57703626,58043509,58072174,58117884,58148521,58172337,58324975,58379787,58672501,59713294,59760255,59981810,60085712,60102371,60266019,60666914,61255555,61265401,61398752,61429582,61454796,61470889,61676089,61778581,61828146,62494009,62502015,62697769,62944739,63138814,63408661,63712249,63744272,63813301,63950254,63957480,64317481,64355374,65090634,65220775,65331539,65471547,65926515,66018229,66352251,66415381,66558791,66668816,67184300,67206229,67501582,67596426,67894441,68221312,68286121,68504322,68663955,69025534,69073596,69163189,69269330,69362836,69425614,69454249,69505582,69601179,69905182,69985054,69989970,70321616,70708021,70803961,71439892,71712306,71952165,71978172,72329209,72435032,72476692,72613141,72707641,72802069,72902258,73241552,73273129,73483582,73506666,73648681,73939899,73958254,74116501,74655968,74748094,74829410,74954041,75002418,75063652,75969781,76612372,76637182,76733144,76748976,76885621,77108014,77128036,77249941,77488850,77499934,78264930,78282574,78785449,78912255,78990775,79111818,79233109,79453534,79687294,79856809,80300149,80543182,80621160,81264931,81269161,81489411,82057514,82171774,82322355,82396746,82781332,83004015,83043939,83094901,83123196,83482592,83657091,83987964,84173072,84232664,84317092,84332254,84464629,84590067,84716734,84888889,85484494,85688300,85860530,85944382,85995904,86064591,86296252,86324787,86327182,86342598,86401321,86535939,86667020,86870932,87396649,87473182,87808309,87810512,88136341,88159054,88505432,88537616,88544761,88788949,89485907,89759221,89795292,89839609,89926036,90208894,90480121,90698805,90878101,90957481,91036789,91195189,91714415,92061241,92529961,92698414,92970772,92986620,93228181,93330770,93554499,93613561,93733682,93917916,94073641,94539155,94582659,94683049,94694706,94761747,94788930,95021182,95163411,95513461,95692654,96342051,96409429,96511582,96585934,96612015,96745392,96779689,97014292,97441621,97733941,98069614,98786826,98982611,99106729,99185728,99321109,99568611,99591775,99604818,99606859,99818809,99841582,...,20467109212830319242606730035714434932443892524866639368444659301630829556333599302690097708233435675092868423872542241159439543797236683738444841780779864217677901959986337382827155961355429815718948296341073802902245136344766678215228650545745118787353456429718640571500260497788853029353859368399265884809100750764074507599418823745255832699868063974200456921868104310544653251262098177149556869251958218964727588036127786286128086873872689032968937211747555387788417046154833246923302552564723261576186316486134472853352489353079356309262287076632961211739216462970617098873915326411297693761193195072199357806339627159143819636607115697506981874671371996521942476170481034724222101362726307250982393018746521514379847421444272749933445169687669019477004496362012471848280097463449616200126921486879046047699015274988439848612798000620980836337179634392833650912071264715690685662757736251358857881789490540186772724804183530683444882086543683072287146849672849600767316892236951662572825789454681047174176916825644368862083144033023374120235717778887260403802703017153957176253120477085879480097073161598862753482213807009366088328642748229593819992934108646968867951451232380323563016682532212322486678381132931944752872146863243715446844380986292230686180325272759816339085276800781043348356365508195691354575142692737962307803833630621974724127086407082005716808639577291998649096626521625541257243605384962728014033236380693117202432437512357504981810838117183030255834941963012495319838661988070351316204111855088261598685424565801790320897408870836587840752437940729379694377522776318341805560435344142757201644192481058630585561380487411949910139202860223493299048624763641390289315294238767229074276922299287724947405623525787495807856378939687559758614284931486332465647718578060100107410472001338887948611646563871287428492739570138880110815791990523880618338517455005413480693880344110589823531927097314732876853213262049856681824032071505771096261164190286124767918663972724266720805264160431218054028314391500483571659849782973150422033400377652851927318270906010719845977783335026074322798870368081458827905883080210570054194830157831266147922101476519464238078961408537311282335281805301095663119744365212972593227734027268633088465213295801142134008246778954835135275124715452065580302110119047183825612277778688218846735224087772954487110987172937449100546454926260567744312632008914278802168605828003868521730570044911845709731212440900044926103178456604420302390666339944909865071323538654698718882222180904875904076829558856106294200409265759666425275788210670976602326528463683865812590274526610184275870139014854521837829004181282955812473891471033902779910943420470332495713997259320380653177103053642446278489066006068402114521267639406868887414421090870324843101802382279070362503981287212060253216147951333825232120190596122429245144500757826831859898363630350331598725167439288949263948633783961814321527765127975100180563902326089776247137066286161666072401411775548433611287354439756585488016064856425460834263779379714716909450195425458958215417618455852122252121909446659845746285099477704971815992818297150598816849085413131685776384327482710550492851215330755127460923238620705721786339096423120733935120476630816209927091308238413194223151861391485991343149624330117019713062059740975171552784077489456859836230073665744329055793654589757522014665014929772597974716014978977041001371005006997002503900028541139118155851305991505011382417669966393375624786139670068740737324051625591986289851225699038108302493863860778368339903742887780751176928209223409142619527129914945256009851425774489474158704773261719749963006087812317940558538422299928298946242}
23211  44620561168236265661132770420880432589492368819979490697955230760814429387177: {46418,348045,371248,417654,487221,580025,696030,742432,765501,835236,1136653,1321773,1623790,1948548,1971065,2319700,2365278,2783640,2805869,2849541,2969216,3131595,3340368,3757914,4220398,5028541,5442365,6000253,6029140,6530838,7142212,7183630,7234968,7553373,8139339,8365453,8571790,8620356,8793861,9336301,9408238,9482181,9882061,10203160,10286148,10287065,10307373,10444709,10444821,11478555,11543541,11819941,12243792,12344478,12357965,12366573,12503661,13188741,13440340,13599501,13774266,13857454,13941718,14117230,14829558,14969758,15447053,15799894,16128408,16885630,16940676,17043915,17177465,17467918,18144459,18180176,18647781,19116118,19237565,19916740,20147101,20247958,20262756,20290375,20452698,20609165,20612958,21091821,21105821,22278958,22716861,22992214,23085078,23122581,23451076,23798301,23900088,23933373,24348450,24367021,24730998,25662989,25971680,26289781,26545021,26586532,26763545,26787988,26808829,26887599,27167901,27281302,27308740,27436821,28697141,28779981,28986250,29218140,29450661,29561092,29986773,30170045,30850265,31087861,31166016,31191621,31860141,31891054,32116254,32770488,32846020,33195381,33308758,33462141,33960661,33995373,34095094,34661373,34755941,34783500,34810030,35061768,36204054,36233188,36801421,36866799,37020318,37102400,37556830,37702852,37750061,37849821,37980760,38090221,38644773,38738581,38777181,39415224,39444489,39660365,39835581,40217912,40335545,41333398,41667613,41740200,41772036,41995253,42312214,42728355,43396341,43820381,44338601,44342127,44379065,44411230,44522880,44579373,44880598,45068196,45245151,45328349,45406501,45576912,45760461,45776854,45789848,46957725,47026681,47283653,47482318,47491072,47583940,47592438,47738765,47973694,48088558,48402654,48515230,48819172,49031061,49664878,49813773,49847501,50088240,50233241,51042436,51065453,51246501,51274026,51361301,51513579,51859702,52574998,53095565,53254878,53293476,53427456,53631101,53699753,53723908,53863275,53969476,54159001,54431165,54491901,55340830,55527261,55599293,55776238,55962795,56302773,56349270,56802341,57100728,57286518,57363581,57454160,57593373,57763865,58218276,58255678,58335214,59693648,60105888,60364469,60446020,60882973,61531414,62091573,62603781,63380653,63714678,63740045,64086358,64115140,64126558,64238319,64402265,64460374,64635930,64859861,64866430,65317398,65323972,65373653,65428558,66104629,66356741,66386765,66408996,66622375,66906296,67047545,67141501,67155354,67241189,67403734,67604249,67619124,67704761,67831773,68697940,68944992,69316638,69470741,69734373,69861021,70179454,70493901,70514422,70543515,71320813,72230573,72535224,72647355,72767301,73047268,73651438,73703581,73829261,73965028,74026941,74690741,74781573,75107140,75246416,75269583,76488054,76748440,76818495,76834198,76938168,77282718,77415981,77442253,77470414,77490512,77563116,77839716,77956909,78041661,78565061,78954653,79134829,79583614,79664118,79680340,79946850,80289141,80354692,80457054,81161061,81602127,81939728,82136158,82437528,82538521,83327998,83336020,83980375,84141573,84222569,84652218,85255701,85276640,86341995,86555439,86703545,86787512,86876381,86936533,87108261,87176826,87229901,87295396,87428494,87902020,87923581,88423661,88469668,89299865,89569941,89972715,90038981,90128568,90171214,90362518,90543790,90595865,90759661,90948521,91000371,91339096,91551940,91653694,92098128,92144373,92182194,92742219,92801572,93319960,93829565,94045198,94708221,95601502,95616408,95765465,95916430,95925381,95936220,95970896,96128021,96229141,96410045,96533061,96686309,97608269,97635951,97897781,98008888,98586532,99283669,99704941,99912013,99991918,...,30700663819245478863910095053571652398665838787299959052666988952446244334500398954035146562350153512639302635808813361739159315695855025607667262671169796326516852939979506074240733942033144723578422444511610704353367704517150017322842975818617678181030184644577960857250390746683279544030789052598898827213651126146111761399128235617883749049802095961300685382802156465816979876893147265724335303877937328447091382054191679429192130310809033549453405817621333081682625569232249870384953828847084892364279474729201709280028734029619034463893430614949441817608824694455925648310872989616946540641789792608299036709509440738715729454910673546260472812007057994782913714255721552086333152044089460876473589528119782271569771132166409124900167754531503529215506744543018707772420146195174424300190382230318569071548522912482659772919197000931471254505769451589250476368106897073536028494136604377038286822684235810280159087206275296025167323129815524608430720274509274401150975338355427493859238684182021570761265375238466553293124716049535061180353576668330890605704054525730935764379680715628819220145609742398294130223320710514049132492964122344390729989401162970453301927176848570485344525023798318483730017571699397917129308220294865573170266571479438346029270487909139724508627915201171565022534548262293537031862714039106943461705750445932962086190629610623008575212959365937997973644939782438311885865408077444092021049854571039675803648656268536257472716257175774545383752412944518742979757992982105526974306167782632392398028136848702685481346113306254881761128656911094069541566284164477512708340653016214135802466288721587945878342070731117924865208804290335239948572937145462085433972941358150843611415383448931587421108435288681243711784568409531339637921427397229498698471577867090150161115708002008331922917469845806931142739109355208320166223687985785820927507776182508120221040820516165884735297890645972099315279819893074785022736048107258656644391746285429187151877995959086400081207896240646827081042471587250725357489774674459725633050100566479277890977406359016079768966675002539111484198305552122188241858824620315855081292245236746899221883152214779196357118442112805966923502922707951643494679616547819458889841601040902949632697819943701713201012370168432252702912687073178098370453165178570775738418416668032328270102836131659431730666480759406173650819682389390851616468948013371418203252908742005802782595855067367768564596818661350067389154767684906630453585999509917364797606985307982048078323333271357313856115244338284159441300613898639499637913682316006464903489792695525798718885411789915276413805208522281782756743506271924433718710837206550854169866415130705498743570995888980570979765654580463669417733599009102603171781901459110303331121631636305487264652703573418605543755971930818090379824221927000737848180285894183643867716751136740247789847545445525497398087751158933423895922950675942721482291647691962650270845853489134664370705599429242499108602117663322650416931031659634878232024097284638191251395669069572075364175293138188437323126427683778183378182864169989768619427649216557457723989227445725898225273628119697528664576491224065825739276822996132691191384857931058582679508644634681100902680714946224314890636962357619791334727792087228987014724436495175529569593089611462757329176116234185289754345110498616493583690481884636283021997522394658896962074022468465561502056507510495503755850042811708677233776958987257517073626504949590063437179209505103111105986077438387979434776838548557162453740795791167552509855614331671126765392313835113713929290694872417884014777138661734211238057159892579624944509131718476910837807633449892448419363}
23212  44780032186653764592324742826405797482751383179813584731842922758785568334433: {69627,255211,324842,464060,533347,556872,603122,626481,649628,928040,1020668,1044045,1113648,1227427,1252854,1714802,1762364,1992362,2435685,2598064,2610187,2899625,2922822,3023611,3101162,3153704,3436387,3479550,3547917,3654698,3711520,3799388,3985747,4175460,4397011,4453824,5010552,5490547,5636871,5763211,6171667,6330597,6413738,6963818,7122211,7238642,7536425,8069227,8204227,8336498,8707784,8884562,8927765,9043710,9147211,9158378,9646624,9796257,10071164,10086667,10488211,10713318,10775445,10852452,11156011,11422627,11493808,11725148,11822011,12642908,12753950,12857685,12883867,12930534,13413067,13545187,13714864,13743164,13926428,14112357,14468011,15304740,15391388,15429222,15780211,15907654,15956978,16325056,16459304,16488764,16671548,16694467,16800425,17584988,18132668,18365688,18383011,18516717,19287187,19724882,19772744,20160510,20661399,20700907,20786181,20912577,20957011,21175845,21212827,21504544,21851107,22244337,22454637,22587568,22614667,22725220,23699841,24192612,24386227,24527858,24863708,24895925,25328445,25411014,25853738,26018611,26201877,27017008,27270264,27483944,28122428,28134907,28506211,28674177,28876867,29021162,29313845,29739211,29809778,29875110,29984947,30289148,30371937,30394134,30679047,30720427,30780104,30830108,30919437,31331347,31731068,31866784,31906418,31911164,32464600,32547787,32690282,32790211,32974664,33233165,33418437,33484985,33993842,34135925,34488321,34514258,34599211,34627617,34839187,35176614,35190673,35850132,36223868,36522675,36582428,36748627,36951365,36986011,37096497,37107698,38373308,38757211,38957520,39267548,39879798,39929011,39982364,40066117,40181982,40279147,40457642,40921953,40963110,40970858,41057525,41554688,41588828,41739602,42480188,42821672,43479375,43630387,43693984,43744867,43827210,44260508,44341638,44544211,44616188,45291485,45309938,45327164,45340027,46071338,46215164,46378000,46578218,46749024,47084522,47128565,47475950,47594347,47666861,47836581,48095402,48174381,48265027,48272072,48710707,48821947,49155732,49269030,49355762,49360424,49963137,50272390,50371747,50466428,50702011,50911081,51031627,51142641,51526364,51615338,51702908,52175250,52215045,52231942,52343611,52553632,52592652,52669987,53114108,53364722,54306081,54349782,54721987,54858578,55530477,55653600,55696048,55898107,56335245,56554278,56971140,57171211,57237310,57487867,57861788,57909067,58538707,58543009,59122836,59363840,59439164,59479925,59997787,60090928,60326868,60769216,60825211,61013948,61023965,62000097,62005802,62057707,62159947,62610300,62658054,63225842,63456584,63468321,63469418,63803045,63887011,63956138,64391011,64442282,64473761,64536872,64893211,65374748,65692987,65840614,66091147,66418364,66616845,66686227,66784320,66884011,67105778,67154885,67320897,67461845,67602294,67804198,68162587,68328668,68358211,68365368,68665281,68684772,69031922,69512018,69991538,71006504,71057968,71223477,71236608,71375910,71388657,71544427,71697262,71735011,71817700,71960541,72132837,72603981,72655868,72772845,72856562,73228758,73437307,73647893,74036348,74044202,74093011,74279707,74389237,74497317,74617060,75070364,75132360,75486211,75557525,75670747,75939073,76134304,76172882,76382024,76563654,76791164,76863211,76911039,77590987,77624368,77789553,77953147,78224011,78289898,78853507,78862497,78943147,79882317,79921709,79940214,80013211,80141184,80143925,80585862,80632627,80954214,81654965,82256882,82382947,82788764,82902427,83011245,83471708,83632870,83664357,83676787,83933611,83974534,84104467,84523905,84801578,84952904,85492562,85651092,85757777,85872425,85929777,86157214,86181240,86632747,86869409,86870642,86882011,87089864,87327414,87383517,87502821,87708211,88243538,88363987,88545328,89339011,89540472,90158832,90293162,90303667,90442364,90669030,91309085,91337011,91653098,91926656,92123611,92297121,92422184,92456285,92979164,93058027,93148028,93290011,93883925,93991868,94058020,94058611,94357418,94592347,94971427,95047027,95478098,95572017,95935550,96040373,96129537,96172710,96189837,96595178,96690561,96713632,96863140,96953895,96977062,97023068,97208107,97299645,97793611,97976097,97985958,98142837,98702588,99094147,99600425,99613494,99708764,99735667,...,40934218425660638485213460071428869864887785049733278736889318603261659112667198605380195416466871350185736847745084482318879087594473367476889683561559728435355803919972674765654311922710859631437896592682147605804490272689533356430457301091490237574706912859437281143000520995577706058707718736798531769618201501528149015198837647490511665399736127948400913843736208621089306502524196354299113738503916437929455176072255572572256173747745378065937874423495110775576834092309666493846605105129446523152372632972268945706704978706158712618524574153265922423478432925941234197747830652822595387522386390144398715612679254318287639273214231395013963749342743993043884952340962069448444202725452614501964786037493043028759694842888545499866890339375338038954008992724024943696560194926899232400253842973758092095398030549976879697225596001241961672674359268785667301824142529431381371325515472502717715763578981080373545449608367061366889764173087366144574293699345699201534633784473903325145651578909362094348353833651288737724166288066046748240471435557774520807605406034307914352506240954171758960194146323197725506964427614018732176657285496459187639985868217293937735902902464760647126033365064424644973356762265863889505744293726487430893688761972584461372360650545519632678170553601562086696712731016391382709150285385475924615607667261243949448254172814164011433617279154583997298193253043251082514487210769925456028066472761386234404864875024715009963621676234366060511669883926024990639677323976140702632408223710176523197370849131603580641794817741673175681504875881458759388755045552636683611120870688285514403288384962117261171122760974823899820278405720446986598097249527282780578630588477534458148553844598575449894811247051574991615712757879375119517228569862972664931295437156120200214820944002677775897223293127742574856985479140277760221631583981047761236677034910010826961387760688221179647063854194629465753706426524099713363648064143011542192522328380572249535837327945448533441610528320862436108056628783000967143319699565946300844066800755305703854636541812021439691955566670052148645597740736162917655811766160421140108389660315662532295844202953038928476157922817074622564670563610602191326239488730425945186455468054537266176930426591602284268016493557909670270550249430904131160604220238094367651224555557376437693470448175545908974221974345874898201092909852521135488625264017828557604337211656007737043461140089823691419462424881800089852206356913208840604781332679889819730142647077309397437764444361809751808153659117712212588400818531519332850551576421341953204653056927367731625180549053220368551740278029709043675658008362565911624947782942067805559821886840940664991427994518640761306354206107284892556978132012136804229042535278813737774828842181740649686203604764558140725007962574424120506432295902667650464240381192244858490289001515653663719796727260700663197450334878577898527897267567923628643055530255950200361127804652179552494274132572323332144802823551096867222574708879513170976032129712850921668527558759429433818900390850917916430835236911704244504243818893319691492570198955409943631985636594301197633698170826263371552768654965421100985702430661510254921846477241411443572678192846241467870240953261632419854182616476826388446303722782971982686299248660234039426124119481950343105568154978913719672460147331488658111587309179515044029330029859545195949432029957954082002742010013994005007800057082278236311702611983010022764835339932786751249572279340137481474648103251183972579702451398076216604987727721556736679807485775561502353856418446818285239054259829890512019702851548978948317409546523439499926012175624635881117076844599856597892484}
23213  44940069403578061320810717767562298737572579968785676226669318314120491040754: {92836,487263,580075,696090,742496,812035,835308,904683,974442,1160050,1275835,1392060,1484864,1531002,1670472,1879281,2202955,2273306,2572203,2643546,2759491,2988543,3247580,3316027,3897096,3942130,4384233,4639400,4651743,4730556,4749235,5219325,5482047,5567280,5611738,5699082,5938432,6263190,6680736,7392187,7515828,7619311,8440796,9060643,9620607,10057082,10445727,10857963,10884730,10954207,11421331,12000506,12058280,12255343,12343747,12504747,12588955,13061676,13326843,13565565,13737567,14284424,14367260,14401891,14469936,14567011,14656435,15019807,15106746,15803635,16069977,16278678,16512367,16730906,17143580,17178955,17240712,17301151,17408035,17587722,18065311,18672602,18816476,18964362,19130925,19239235,19395801,19764122,20406320,20572296,20574130,20610955,20614746,20839435,20851843,20889418,20889642,21981235,22665835,22957110,23087082,23143833,23639882,23861481,23935467,24048451,24487584,24688956,24715930,24733146,24943243,25007322,25017583,26171167,26377482,26880680,26932591,27199002,27517027,27548532,27714908,27883436,28234460,28406525,28852831,29587323,29659116,29939516,30240765,30328987,30894106,31046131,31079635,31388767,31599788,32256816,33245311,33771260,33881352,33914803,34087830,34354930,34935836,35153035,35263327,35552347,36288918,36360352,36791787,37295562,37468963,37783867,37861435,38090251,38116521,38232236,38475130,38537635,38780607,38813443,38883211,39663835,39833480,39888955,40294202,40495916,40525512,40580750,40905396,41075203,41218330,41225916,41308927,42183642,42211642,42238063,42780211,43190371,43531743,43824187,44557916,44714667,44812665,44916331,45279835,45433722,45591201,45728035,45834811,45984428,46170156,46245162,46902152,46935871,47596602,47800176,47859627,47866746,47966635,48346111,48696900,48734042,49035423,49084435,49461996,49554907,49977955,50353567,50464411,50990763,51325978,51771387,51787723,51943360,51986035,52579562,52683643,52764921,53090042,53100235,53173064,53527090,53569867,53575976,53617658,53704411,53775198,54335802,54483691,54562604,54617480,54693103,54873642,55325635,55524511,55661547,55770235,56469763,56658955,57394282,57403807,57559962,57768955,57864067,57868987,57972500,58436280,58901322,58910683,59122184,59433727,59819697,59973546,60017371,60272973,60340090,60369727,60686463,60869611,61444665,61456287,61491091,61700530,62130691,62175722,62332032,62383242,62609403,63083035,63720282,63782108,64232508,64407955,64628635,64943731,65379331,65540976,65692040,65740815,66390762,66392635,66512457,66617516,66834271,66924282,67367023,67793323,67921322,67964907,67990746,68190188,68942947,69107007,69135307,69322746,69476767,69511882,69567000,69620060,69867327,70040731,70123536,70521247,70626783,70848811,71213925,71339827,72143103,72266611,72327235,72408108,72466376,72640003,72738751,73064671,73602842,73733598,73903545,74033643,74040636,74204800,74298955,74333791,74679067,75113660,75405704,75408585,75472843,75500122,75603667,75670027,75699642,75961520,76025491,76180442,76203631,76267435,76652563,77289546,77423007,77477162,77554362,78262875,78347913,78421603,78830448,78888978,78961507,79320730,79671162,80014447,80047083,80435824,80671090,80869411,81524673,81718435,82287867,82397503,82666796,83022955,83273311,83335226,83477887,83480400,83544072,83990506,84624428,84831417,84918931,85410835,85456710,85722031,85855965,86328223,86792682,87090643,87252763,87578347,87640762,87732667,88330987,88677202,88684254,88758130,88822460,89045760,89158746,89236063,89323603,89761196,89772125,90136392,90163171,90490302,90656698,90813002,90819835,90956443,91153824,91262911,91520922,91553708,91579696,91584643,92545435,92941471,93008703,93271325,93837955,93866563,93915450,93987081,94053362,94567306,94736287,94838763,94964636,94982144,95167880,95184876,95204127,95477530,95537011,95934207,95947388,95988955,96177116,96426403,96640147,96663423,96805308,97030460,97638344,98062122,98760921,99329756,99409867,99627546,99695002,99963811,...,61401327638490957727820190107143304797331677574599918105333977904892488669000797908070293124700307025278605271617626723478318631391710051215334525342339592653033705879959012148481467884066289447156844889023221408706735409034300034645685951637235356362060369289155921714500781493366559088061578105197797654427302252292223522798256471235767498099604191922601370765604312931633959753786294531448670607755874656894182764108383358858384260621618067098906811635242666163365251138464499740769907657694169784728558949458403418560057468059238068927786861229898883635217649388911851296621745979233893081283579585216598073419018881477431458909821347092520945624014115989565827428511443104172666304088178921752947179056239564543139542264332818249800335509063007058431013489086037415544840292390348848600380764460637138143097045824965319545838394001862942509011538903178500952736213794147072056988273208754076573645368471620560318174412550592050334646259631049216861440549018548802301950676710854987718477368364043141522530750476933106586249432099070122360707153336661781211408109051461871528759361431257638440291219484796588260446641421028098264985928244688781459978802325940906603854353697140970689050047596636967460035143398795834258616440589731146340533142958876692058540975818279449017255830402343130045069096524587074063725428078213886923411500891865924172381259221246017150425918731875995947289879564876623771730816154888184042099709142079351607297312537072514945432514351549090767504825889037485959515985964211053948612335565264784796056273697405370962692226612509763522257313822188139083132568328955025416681306032428271604932577443175891756684141462235849730417608580670479897145874290924170867945882716301687222830766897863174842216870577362487423569136819062679275842854794458997396943155734180300322231416004016663845834939691613862285478218710416640332447375971571641855015552365016240442081641032331769470595781291944198630559639786149570045472096214517313288783492570858374303755991918172800162415792481293654162084943174501450714979549348919451266100201132958555781954812718032159537933350005078222968396611104244376483717649240631710162584490473493798443766304429558392714236884225611933847005845415903286989359233095638917779683202081805899265395639887403426402024740336864505405825374146356196740906330357141551476836833336064656540205672263318863461332961518812347301639364778781703232937896026742836406505817484011605565191710134735537129193637322700134778309535369813260907171999019834729595213970615964096156646666542714627712230488676568318882601227797278999275827364632012929806979585391051597437770823579830552827610417044563565513487012543848867437421674413101708339732830261410997487141991777961141959531309160927338835467198018205206343563802918220606662243263272610974529305407146837211087511943861636180759648443854001475696360571788367287735433502273480495579695090891050994796175502317866847791845901351885442964583295383925300541691706978269328741411198858484998217204235326645300833862063319269756464048194569276382502791338139144150728350586276376874646252855367556366756365728339979537238855298433114915447978454891451796450547256239395057329152982448131651478553645992265382382769715862117165359017289269362201805361429892448629781273924715239582669455584174457974029448872990351059139186179222925514658352232468370579508690220997232987167380963769272566043995044789317793924148044936931123004113015020991007511700085623417354467553917974515034147253009899180126874358419010206222211972154876775958869553677097114324907481591582335105019711228663342253530784627670227427858581389744835768029554277323468422476114319785159249889018263436953821675615266899784896838726}
23214  45100674816079116202413988634998864764567609955835124259657940736951777387111: {116045,139254,255233,301613,394349,510422,649684,928120,950093,1044135,1066694,1088849,1113744,1206244,1252962,1299256,1461663,1643153,1740075,1856080,1919873,2041336,2088090,2227296,2242349,2296503,2454854,2505708,2932049,3409959,3429604,3482513,3524728,3619949,3965319,3984724,3986093,4059475,4443053,4534349,4853633,4871370,5196128,5220374,5536493,5763713,5799250,5845644,5913195,6047222,6202324,6217553,6307408,6353549,6715853,6872774,6959100,7032449,7095834,7168013,7309396,7423040,7598776,7709549,7971494,8069933,8350920,8417607,8548623,8794022,8907648,9058349,9394785,9819473,10021104,10533713,10550995,10981094,11068049,11273742,11526422,11867393,12343334,12498871,12661194,12752513,12827476,12929153,13061549,13414253,13590413,13927636,14244422,14469293,14477284,14513153,14600849,15072850,15085623,15170093,15388673,16138454,16327095,16408454,16478573,16672996,17086733,17346893,17415568,17769124,17855530,17959075,18000759,18087420,18294422,18316756,18427793,19293248,19592514,20142328,20173334,20232449,20318033,20873549,20958893,20976422,21426636,21429475,21512849,21550890,21704904,22312022,22659053,22660119,22845254,22987616,23450296,23504333,23520595,23644022,24136193,24388433,24418017,24808193,25096359,25285816,25394513,25507900,25645313,25715370,25767734,25861068,26146049,26381583,26437613,26770349,26826134,26894993,27090374,27185549,27429728,27486328,27852856,28008903,28013549,28224714,28446543,28550033,28920653,28936022,29646183,29987693,30609480,30782776,30858444,30861195,30922119,31090049,31334127,31334463,31496849,31560422,31815308,31913956,32308049,32650112,32918608,32977528,33196673,33343096,33388934,33600850,33639533,33920849,34435665,34522349,34602413,34630623,34643635,34842413,34854295,35122049,35169976,35293075,35321549,35459823,35719949,36265336,36435053,36514349,36731376,36766022,36989453,37028993,37033434,37073895,37099719,37226573,37424395,37502849,37510983,38574374,38995793,39152273,39449764,39499735,39545488,39566223,39854849,39971693,40321020,40516013,40798503,41039383,41097473,41322798,41401814,41572362,41825154,41914022,42178049,42214075,42293453,42351690,42425654,42485633,42946049,43009088,43669795,43702214,44488674,44586413,44909274,45175136,45229334,45344333,45450440,46287233,46341159,46475213,46526431,46878979,47187713,47399682,47486849,47790295,47971853,48306833,48385224,48772454,48863693,49055716,49159949,49727416,49791850,50619895,50656890,50706893,50822028,51131745,51182849,51532395,51707476,51731911,52037222,52167053,52403754,52711313,53274727,53974253,54034016,54433377,54540528,54727313,54870353,54967888,55263053,55512449,55697395,55939073,55943343,56244856,56269814,56333563,57012422,57212033,57348354,57480535,57712695,57753734,58042324,58159949,58229933,58627690,58684049,59206349,59380049,59478422,59619556,59750220,59830733,59969894,60441303,60578296,60743874,60788268,60871125,61277549,61346093,61358094,61440854,61560208,61660216,61790849,61827495,61838874,62662694,63275463,63317463,63408079,63421313,63462136,63488849,63733568,63812836,63822328,63893393,64095233,64330349,64397453,64899713,64929200,64933133,65095574,65380564,65580422,65732813,65949328,65979991,66097793,66466330,66494849,66725933,66836874,66890753,66923693,66969970,67580813,67987684,68150583,68203255,68271850,68365133,68397713,68976642,69028516,69198422,69255234,69274349,69367743,69436049,69532973,69678374,70353228,70381346,70882349,71105873,71201549,71297153,71394903,71700264,71742353,71774093,71800119,72447736,72465625,73045350,73101063,73164856,73256849,73497254,73663853,73726349,73902730,73972022,74131793,74192994,74215396,74287373,75031373,76046849,76196263,76746616,76871213,76901633,76962449,76988967,77514422,77629313,77719949,77915040,77961293,78262253,78535096,78772049,78861773,78869343,79517549,79635063,79727635,79759596,79858022,79873613,79964728,80132234,80290635,80363964,80426487,80464493,80558294,80662797,80915284,81286349,81503703,81843906,81926220,81941716,82115050,82310463,82312351,83083853,83109376,83177656,83271895,83370893,83479204,83599949,83971073,84397613,84539393,84960376,85237735,85433551,85582349,85643344,85918253,86091423,86339943,86642093,86891393,86958750,87025075,87038419,87260774,87305453,87387968,87470573,87489734,87654420,88210049,88351983,88400813,88521016,88564013,88618349,88683276,89088422,89213933,89232376,89324263,89778833,89960319,90499949,90510135,90582970,90619876,90654328,90680054,91109633,91373393,92133773,92142676,92212049,92430328,92550795,92756000,93068333,93156436,93248849,93263583,93300353,93498048,93574863,93892075,94016839,94018049,94094573,94145549,94169044,94257130,94446583,94951900,94982033,95188694,95233793,95333722,95359373,95580423,95584913,95673162,96034049,96190804,96282449,96348762,96530054,96544144,96579473,97145549,97421414,97439213,97512449,97643894,97804673,98119949,98311464,98530193,98538060,98711524,98720848,99129293,99586143,99926274,...,92101991457736436591730285160714957195997516361899877158000966857338733003501196862105439687050460537917907907426440085217477947087565076823001788013509388979550558819938518222722201826099434170735267333534832113060103113551450051968528927455853034543090553933733882571751172240049838632092367157796696481640953378438335284197384706853651247149406287883902056148406469397450939630679441797173005911633811985341274146162575038287576390932427100648360217452863999245047876707696749611154861486541254677092838424187605127840086202088857103391680291844848325452826474083367776944932618968850839621925369377824897110128528322216147188364732020638781418436021173984348741142767164656258999456132268382629420768584359346814709313396499227374700503263594510587646520233629056123317260438585523272900571146690955707214645568737447979318757591002794413763517308354767751429104320691220608085482409813131114860468052707430840477261618825888075501969389446573825292160823527823203452926015066282481577716052546064712283796125715399659879374148148605183541060730004992671817112163577192807293139042146886457660436829227194882390669962131542147397478892367033172189968203488911359905781530545711456033575071394955451190052715098193751387924660884596719510799714438315038087811463727419173525883745603514695067603644786880611095588142117320830385117251337798886258571888831869025725638878097813993920934819347314935657596224232332276063149563713119027410945968805608772418148771527323636151257238833556228939273978946316580922918503347897177194084410546108056444038339918764645283385970733282208624698852493432538125021959048642407407398866164763837635026212193353774595626412871005719845718811436386256301918824074452530834246150346794762263325305866043731135353705228594018913764282191688496095414733601270450483347124006024995768752409537420793428217328065624960498671063957357462782523328547524360663122461548497654205893671937916297945839459679224355068208144321775969933175238856287561455633987877259200243623688721940481243127414761752176072469324023379176899150301699437833672932219077048239306900025007617334452594916656366564725576473860947565243876735710240697665649456644337589071355326338417900770508768123854930484038849643458376669524803122708848898093459831105139603037110505296758108738061219534295111359495535712327215255250004096984810308508394978295191999442278218520952459047168172554849406844040114254609758726226017408347787565202103305693790455984050202167464303054719891360757998529752094392820955923946144234969999814071941568345733014852478323901841695918498913741046948019394710469378086577396156656235369745829241415625566845348270230518815773301156132511619652562509599245392116496230712987666941712939296963741391008253200797027307809515345704377330909993364894908916461793958110720255816631267915792454271139472665781002213544540857682550931603150253410220743369542636336576492194263253476800271687768852027828164446874943075887950812537560467403993112116798287727497325806352989967951250793094978904634696072291853914573754187007208716226092525879414565311969379283051334550134548592509969305858282947649672373171967682337177694675820884359092585993729473672197477217830468988398073574154573793175748038525933904043302708042144838672944671910887072859374004183376261686961044173309485526588708779268834388271987528348702555869263035331495849480751071445653908849065992567183976690886222067405396684506169522531486511267550128435126031701330876961772551220879514848770190311537628515309333317958232315163938304330515645671487361222387373502657529566842995013380296176941505341141787872084617253652044331415985202633714171479677738874833527395155430732513422900349677345258089}
23215  45261850428224551308426121675490613681662605539932984559104822983962623088788: {185672,208881,765633,812105,974526,1136849,1160150,1392180,1484992,1507805,1600041,1624070,1670616,1786169,1809366,1879443,1948884,2320100,2551670,2784120,2969728,3062004,3084137,3132135,3340944,3682281,3758562,3918941,4287005,4405910,4546612,4980905,5144406,5287092,5518982,5977086,6495160,6632054,6648929,7307055,7752905,7794192,7830561,7884260,7901993,8698875,8736221,8768466,9070833,9136745,9278800,9303486,9428969,9461112,9498470,10126601,10309161,10438650,10643751,10964094,11134560,11223476,11398164,11876864,11957241,12209009,12526380,12765017,12945881,13191033,13361472,14784374,15031656,15238622,15528953,16034345,16280777,16471641,16881592,16910613,17289633,17409545,17624537,17750681,18096605,18121286,18515001,18574193,18991791,19241214,20114164,20519009,20841245,20891454,21349913,21366633,21715926,21769460,21908414,22125089,22211405,22609275,22842662,22895945,23305001,24001012,24050537,24116560,24207681,24371249,24510686,24612681,24687494,25009494,25177910,26123352,26346209,26653686,26783295,26934929,27131130,27441633,27475134,28568848,28734520,28803782,28855337,28859321,28939872,29134022,29175209,29312870,29388771,29414753,30039614,30213492,30260001,30773729,30929561,31464633,31607270,31732169,31884875,32139954,32326335,32452793,32557356,33024734,33461812,33468033,34267881,34287160,34357910,34481424,34602302,34698617,34816070,35175444,35466033,36130622,37345204,37632952,37928724,38004233,38261850,38291033,38478470,38573055,38651601,38791602,39289913,39528244,39769135,39892445,40224809,40239201,40635561,40779953,40812640,41144592,41148260,41221910,41229492,41312513,41674841,41678870,41703686,41778836,41779284,42337071,42571457,43404033,43511489,43962470,44653661,45331670,45914220,46174164,46287666,47279764,47340633,47722962,47813177,47870934,48014009,48096902,48819641,48852353,48975168,49214249,49312205,49377912,49431860,49466292,49810289,49886486,50014644,50035166,50083401,50401275,51792221,52175069,52342334,52754964,53006009,53366753,53761360,53865182,53952689,54168413,54398004,54488417,55034054,55097064,55149033,55429816,55529369,55550151,55766872,55844537,56468920,56813050,57136313,57705662,57861561,59174646,59318232,59508761,59879032,60022577,60481530,60657974,60874913,60893537,61319645,61496429,61788212,61984197,62092262,62102721,62159270,62358543,62737731,62777534,62871033,63199576,63391769,63527535,63638481,64019249,64513632,64634345,65553321,66490622,66733011,67153289,67363911,67518377,67542520,67762704,67829606,67844001,68175660,68390621,68709860,68718209,68725337,69422609,69871672,69969137,70306070,70526654,70823309,71099523,71104694,71346041,71353073,71936813,72507761,72552905,72577836,72720704,72780449,73071017,73158681,73583574,73697633,73700441,74340329,74524445,74591124,74687775,74937926,75567734,75722870,75985335,76180502,76233042,76464472,76950260,77075270,77455889,77561214,77626886,77766422,78055833,78078329,78280817,78605631,79322537,79327670,79666960,79766045,79777910,80021393,80588404,80817713,80876537,80991832,81051024,81161500,81725705,81810792,82150406,82436660,82451832,82617854,82837709,83730413,84352001,84367284,84404721,84423284,84476126,84926297,84984605,85518633,85560422,86022531,86285645,86335721,86380742,86630601,87063486,87648374,87941535,88316249,89115832,89217633,89429334,89625330,89832662,89954841,90171137,90480089,90559670,90775409,90867444,91115811,91182402,91338089,91456070,91669622,91968856,92037141,92161281,92340312,92490324,92758311,92769245,92949689,93618233,93804304,93871742,93994041,94356569,95193204,95600352,95719254,95733492,95794793,95933270,96692222,97336601,97393800,97428833,97468084,97643361,98070846,98168870,98370633,98413913,98923992,99109814,99598169,99699495,99955910,...,122802655276981915455640380214286609594663355149199836210667955809784977338001595816140586249400614050557210543235253446956637262783420102430669050684679185306067411759918024296962935768132578894313689778046442817413470818068600069291371903274470712724120738578311843429001562986733118176123156210395595308854604504584447045596512942471534996199208383845202741531208625863267919507572589062897341215511749313788365528216766717716768521243236134197813623270485332326730502276928999481539815315388339569457117898916806837120114936118476137855573722459797767270435298777823702593243491958467786162567159170433196146838037762954862917819642694185041891248028231979131654857022886208345332608176357843505894358112479129086279084528665636499600671018126014116862026978172074831089680584780697697200761528921274276286194091649930639091676788003725885018023077806357001905472427588294144113976546417508153147290736943241120636348825101184100669292519262098433722881098037097604603901353421709975436954736728086283045061500953866213172498864198140244721414306673323562422816218102923743057518722862515276880582438969593176520893282842056196529971856489377562919957604651881813207708707394281941378100095193273934920070286797591668517232881179462292681066285917753384117081951636558898034511660804686260090138193049174148127450856156427773846823001783731848344762518442492034300851837463751991894579759129753247543461632309776368084199418284158703214594625074145029890865028703098181535009651778074971919031971928422107897224671130529569592112547394810741925384453225019527044514627644376278166265136657910050833362612064856543209865154886351783513368282924471699460835217161340959794291748581848341735891765432603374445661533795726349684433741154724974847138273638125358551685709588917994793886311468360600644462832008033327691669879383227724570956437420833280664894751943143283710031104730032480884163282064663538941191562583888397261119279572299140090944192429034626577566985141716748607511983836345600324831584962587308324169886349002901429959098697838902532200402265917111563909625436064319075866700010156445936793222208488752967435298481263420325168980946987596887532608859116785428473768451223867694011690831806573978718466191277835559366404163611798530791279774806852804049480673729010811650748292712393481812660714283102953673666672129313080411344526637726922665923037624694603278729557563406465875792053485672813011634968023211130383420269471074258387274645400269556619070739626521814343998039669459190427941231928192313293333085429255424460977353136637765202455594557998551654729264025859613959170782103194875541647159661105655220834089127131026974025087697734874843348826203416679465660522821994974283983555922283919062618321854677670934396036410412687127605836441213324486526545221949058610814293674422175023887723272361519296887708002951392721143576734575470867004546960991159390181782101989592351004635733695583691802703770885929166590767850601083383413956538657482822397716969996434408470653290601667724126638539512928096389138552765005582676278288301456701172552753749292505710735112733512731456679959074477710596866229830895956909782903592901094512478790114658305964896263302957107291984530764765539431724234330718034578538724403610722859784897259562547849430479165338911168348915948058897745980702118278372358445851029316704464936741159017380441994465974334761927538545132087990089578635587848296089873862246008226030041982015023400171246834708935107835949030068294506019798360253748716838020412444423944309753551917739107354194228649814963183164670210039422457326684507061569255340454855717162779489671536059108554646936844952228639570318499778036526873907643351230533799569793677452}
23216  45423598251104008632472095177350553174571694636090338159807089258071755067968: {162463,232090,278508,301639,440743,510466,603226,788698,996439,1020844,1299368,1461789,1689439,1740225,1856240,1900186,2088270,2133388,2177698,2227488,2412488,2436105,2505924,2598512,2714049,2900125,2923326,3286306,3480150,3620263,3712160,3757639,3827505,3839746,4082672,4176180,4454592,4484698,4580383,4593006,4909708,5011416,5127439,5637843,5683265,5864098,6608865,6819918,6859208,6965026,7049456,7239898,7716609,7930638,7969448,7972186,8118950,8278473,8886106,8965629,9068698,9328063,9707266,9742740,9855325,9865039,9948081,9999103,10392256,10440748,11072986,11335783,11527426,11598500,11691288,11826390,12094444,12399943,12404648,12435106,12614816,12707098,13062703,13152699,13431706,13745548,13918200,13955229,14029345,14064898,14191668,14247705,14336026,14514439,14618792,14771393,14846080,15171439,15197552,15419098,15657975,15942988,16139866,16446141,16480039,16701840,16835214,17097246,17261743,17588044,17815296,18116698,18789570,19638946,20042208,20875423,21067426,21101990,21962188,22136098,22176561,22547484,22857933,23052844,23548639,23675143,23734786,24054223,24180439,24686668,24810439,24997742,25142705,25322388,25438639,25505026,25654952,25858306,26123098,26689639,26828506,27180826,27181929,27211825,27855272,28057423,28488844,28861821,28938586,28954568,29026306,29201698,30001265,30145700,30171246,30340186,30521983,30777346,31133623,31337181,31743463,32276908,32351503,32573889,32654190,32816908,32862621,32928833,32957146,33345992,33441439,33923983,34173466,34263993,34693786,34831136,35125303,35538248,35711060,35723263,35918150,36001518,36174840,36438439,36557383,36588844,36633512,36766029,36855586,37031241,37032439,37514241,37766865,38215039,38586496,39185028,39980529,40284656,40346668,40464898,40636066,40696695,41140039,41212701,41747098,41827265,41917786,41952844,42853272,42858950,42988423,43025698,43101780,43205673,43409808,43447639,43701033,43969305,44624044,45059421,45318106,45320238,45690508,45975232,46291639,46681505,46900592,47008666,47041190,47288044,47410905,47528743,47864623,48209931,48272386,48501089,48776866,48796013,48836034,49410305,49537101,49616386,50192718,50571632,50789026,51015800,51187783,51290626,51297439,51430740,51435325,51535468,51536865,51722136,51903453,52223545,52224105,52292098,52394153,52763166,52875226,53540698,53652268,53789986,53907583,54180748,54195933,54371098,54859456,54972656,55090039,55299629,55517863,55705712,56017806,56027098,56449428,56893086,57100066,57392775,57717705,57841306,57872044,58165663,58187403,59099705,59292366,59975386,61137713,61218960,61565552,61716888,61722390,61789825,61796983,61832865,61844238,62180098,62512663,62518305,62555529,62668254,62668926,62961041,62993698,63120844,63528943,63630616,63827912,63832423,64616098,64939639,65300224,65837216,65943705,65955056,66393346,66576029,66686192,66777868,66906413,66930439,67201700,67279066,67841698,67997505,68306863,68404639,68871330,68989783,69044698,69204826,69261246,69281383,69287270,69431499,69475423,69684826,69708590,70244098,70339952,70586150,70643098,70729663,70825639,70867853,70919646,71439898,71584443,71781439,71806401,72145353,72351463,72530672,72635503,72730039,72824503,72870106,73028698,73295743,73462752,73532044,73671439,73978906,74057986,74066868,74147790,74199438,74453146,74829729,74848790,75005698,75021966,75052749,75440263,75993439,76360783,76909639,77148748,77235265,77976353,77991586,78304546,78513501,78810223,78899528,78999470,79090976,79132446,79709698,79943386,80472749,80502439,80642040,80797773,81032026,81294943,81597006,82078766,82168663,82194946,82551081,82645596,82803628,83121439,83144724,83650308,83828044,84356098,84428150,84586906,84703380,84851308,84971266,85219575,85887325,85892098,86018176,86512639,86558493,87339590,87342439,87404428,87836863,88165039,88246903,88761969,88977348,89172826,89788639,89818548,89869063,90050129,90350272,90458668,90688666,90722295,90900880,90908023,90986961,90987439,91066783,91996157,92574466,92638543,92682318,92950426,93052862,93138393,93238905,93259183,93757958,94028503,94166301,94375426,94799364,94973698,95484557,95580590,95943706,96187825,96613666,96770448,97181023,97278233,97474639,97544908,97727386,98111432,98131063,98319898,99212143,99454832,99583700,99735933,...,184203982915472873183460570321429914391995032723799754316001933714677466007002393724210879374100921075835815814852880170434955894175130153646003576027018777959101117639877036445444403652198868341470534667069664226120206227102900103937057854911706069086181107867467765143502344480099677264184734315593392963281906756876670568394769413707302494298812575767804112296812938794901879261358883594346011823267623970682548292325150076575152781864854201296720434905727998490095753415393499222309722973082509354185676848375210255680172404177714206783360583689696650905652948166735553889865237937701679243850738755649794220257056644432294376729464041277562836872042347968697482285534329312517998912264536765258841537168718693629418626792998454749401006527189021175293040467258112246634520877171046545801142293381911414429291137474895958637515182005588827527034616709535502858208641382441216170964819626262229720936105414861680954523237651776151003938778893147650584321647055646406905852030132564963155432105092129424567592251430799319758748296297210367082121460009985343634224327154385614586278084293772915320873658454389764781339924263084294794957784734066344379936406977822719811563061091422912067150142789910902380105430196387502775849321769193439021599428876630076175622927454838347051767491207029390135207289573761222191176284234641660770234502675597772517143777663738051451277756195627987841869638694629871315192448464664552126299127426238054821891937611217544836297543054647272302514477667112457878547957892633161845837006695794354388168821092216112888076679837529290566771941466564417249397704986865076250043918097284814814797732329527675270052424386707549191252825742011439691437622872772512603837648148905061668492300693589524526650611732087462270707410457188037827528564383376992190829467202540900966694248012049991537504819074841586856434656131249920997342127914714925565046657095048721326244923096995308411787343875832595891678919358448710136416288643551939866350477712575122911267975754518400487247377443880962486254829523504352144938648046758353798300603398875667345864438154096478613800050015234668905189833312733129451152947721895130487753471420481395331298913288675178142710652676835801541017536247709860968077699286916753339049606245417697796186919662210279206074221010593516217476122439068590222718991071424654430510500008193969620617016789956590383998884556437041904918094336345109698813688080228509219517452452034816695575130404206611387580911968100404334928606109439782721515997059504188785641911847892288469939999628143883136691466029704956647803683391836997827482093896038789420938756173154792313312470739491658482831251133690696540461037631546602312265023239305125019198490784232992461425975333883425878593927482782016506401594054615619030691408754661819986729789817832923587916221440511633262535831584908542278945331562004427089081715365101863206300506820441486739085272673152984388526506953600543375537704055656328893749886151775901625075120934807986224233596575454994651612705979935902501586189957809269392144583707829147508374014417432452185051758829130623938758566102669100269097185019938611716565895299344746343935364674355389351641768718185171987458947344394954435660937976796147148309147586351496077051867808086605416084289677345889343821774145718748008366752523373922088346618971053177417558537668776543975056697405111738526070662991698961502142891307817698131985134367953381772444134810793369012339045062973022535100256870252063402661753923545102441759029697540380623075257030618666635916464630327876608661031291342974722444774747005315059133685990026760592353883010682283575744169234507304088662831970405267428342959355477749667054790310861465026845800699354690516178}
23217  45585920302853592527626626016910528872492100743123816774683843806028271074330: {348135,371344,417762,765699,904839,1136947,1183047,1276055,1531266,1624210,1949052,2110927,2273698,2320300,2666735,2784360,2850279,2969984,3015610,3132405,3200082,3248140,3266547,3341232,3572338,3618732,3758886,3897768,4336343,4384989,4640200,4929459,5103340,5220225,5568240,5759619,5939456,6001807,6124008,6137135,6168274,6264270,6681888,6727047,6889509,6973267,7364562,7517124,7837882,8574010,8796147,8811820,9093224,9338719,9961810,10229877,10288812,10447539,10574184,10854067,10859847,11037964,11143327,11895957,11954172,11958279,11973203,12178425,12791443,12990320,13050935,13264108,13297858,13329159,13603047,13645363,14498125,14560899,14614110,15118055,15505810,15588384,15661122,15768520,15803986,16141823,16609479,17181935,17291139,17397750,17472442,17536932,17739585,18141666,18273490,18352399,18557600,18606972,18652659,18857938,18922224,18996940,19060647,19476719,19928735,20147559,20253202,20618322,20877300,21097347,21287502,21504039,21928188,21951319,21985055,22269120,22446952,22448083,22631543,22796328,23128647,23753728,23914482,24209799,24373363,24418018,25052760,25252821,25335247,25530034,25645869,25891762,26382066,26722944,27175047,27187523,27452735,28184355,28816055,29177743,29445763,29458419,29568748,30063312,30477244,30849619,30858335,31057906,31095967,31601139,31652985,31682767,32054323,32068690,32561554,32618087,32943282,33204147,33763184,33821226,34579266,34819090,35249074,35501362,35602179,35611055,36193210,36242572,37030002,37148386,37496613,37682125,37790423,37983582,38257539,38482428,38787459,39184647,39660983,40228328,40242759,40346135,40771239,41021135,41038018,41682490,41782908,42322643,42699826,42733266,42769219,43407879,43431852,43538920,43539459,43802547,43816828,44250178,44350127,44422810,44638825,45218550,45253039,45256869,45340163,45510279,45685324,45736055,45791890,46166019,46610002,47597903,48002024,48101074,48233120,48415362,48742498,48823879,48981285,49021372,49225362,49374988,49435719,50018988,50355820,50433335,51260199,52040679,52246704,52441055,52692418,53307372,53566590,53713727,53869858,53877225,54002277,54262260,54883266,54950268,55283379,55670323,55676789,55780055,55849423,55920023,56817107,57113135,57137696,57469040,57584447,57607564,57710674,57718642,57734599,57879744,58268044,58350418,58625740,58777542,58829506,58879799,59110055,59618519,59987519,60079228,60426984,60520002,60697347,60898819,60954099,61547458,61859122,62620647,62876679,62929266,63069799,63214540,63464338,63769750,64279908,64288425,64419335,64538547,64652670,64905586,65114712,66049468,66374099,66923624,66936066,67065335,67621823,67722407,67725935,67870583,67977159,67980357,68535762,68574320,68715820,68731303,68962848,69037087,69204604,69397234,69488819,69632140,70052903,70350888,70512999,70561785,70932066,71620343,71943079,72261244,72340055,72408579,72652607,73165299,73254051,74424579,74690408,75265904,75289077,75857448,76008466,76183539,76523700,76582066,76935939,76956940,77037047,77081363,77146110,77303202,77583204,78438147,78579826,78901055,79056488,79144749,79155463,79312839,79538270,79784890,80311047,80407619,80449618,80478402,80684979,81271122,81556647,81559906,81625280,82289184,82296520,82443820,82458984,82625026,83349682,83357740,83407372,83472335,83557672,83558568,84002125,84026709,84040647,84244463,84326359,84674142,85142914,85339629,85650099,85847503,86761959,86808066,87022978,87252803,87593543,87924940,88446707,88652807,88738199,88938549,89307322,89963079,90062387,90488083,90663340,90783283,91600559,91828440,91915055,92348328,92575332,92583585,92766357,93045343,93270147,93290543,94002381,94003389,94490547,94559528,94681266,95445924,95626354,95741868,96028018,96193804,96435935,96547823,96711443,96924147,97633943,97639282,97704706,97950336,98428498,98624410,98755824,98863720,98932584,99551519,99590019,99620578,99772972,...,276305974373209309775190855482144871587992549085699631474002900572016199010503590586316319061151381613753723722279320255652433841262695230469005364040528166938651676459815554668166605478298302512205802000604496339180309340654350155905586782367559103629271661801201647715253516720149515896277101473390089444922860135315005852592154120560953741448218863651706168445219408192352818892038325391519017734901435956023822438487725114862729172797281301945080652358591997735143630123090248833464584459623764031278515272562815383520258606266571310175040875534544976358479422250103330834797856906552518865776108133474691330385584966648441565094196061916344255308063521953046223428301493968776998368396805147888262305753078040444127940189497682124101509790783531762939560700887168369951781315756569818701713440072867121643936706212343937956272773008383241290551925064303254287312962073661824256447229439393344581404158122292521431784856477664226505908168339721475876482470583469610358778045198847444733148157638194136851388377146198979638122444445815550623182190014978015451336490731578421879417126440659372981310487681584647172009886394626442192436677101099516569904610466734079717344591637134368100725214184866353570158145294581254163773982653790158532399143314945114263434391182257520577651236810544085202810934360641833286764426351962491155351754013396658775715666495607077176916634293441981762804458041944806972788672696996828189448691139357082232837906416826317254446314581970908453771716500668686817821936838949742768755510043691531582253231638324169332115019756293935850157912199846625874096557480297614375065877145927222222196598494291512905078636580061323786879238613017159537156434309158768905756472223357592502738451040384286789975917598131193406061115685782056741292846575065488286244200803811351450041372018074987306257228612262380284651984196874881496013191872072388347569985642573081989367384645492962617681015813748893837518379037673065204624432965327909799525716568862684366901963631777600730871066165821443729382244285256528217407972070137530697450905098313501018796657231144717920700075022852003357784749969099694176729421582842695731630207130722092996948369933012767214065979015253702311526304371564791452116548930375130008574409368126546694280379493315418809111331515890274326214183658602885334078486607136981645765750012290954430925525184934885575998326834655562857377141504517664548220532120342763829276178678052225043362695606309917081371367952150606502392909164159674082273995589256283178462867771838432704909999442215824705037199044557434971705525087755496741223140844058184131408134259732188469968706109237487724246876700536044810691556447319903468397534858957687528797736176349488692138963000825138817890891224173024759602391081923428546037113131992729980094684726749385381874332160767449893803747377362813418417997343006640633622573047652794809450760230662230108627909009729476582789760430400815063306556083484493340624829227663852437612681402211979336350394863182491977419058969903853752379284936713904088216875561743721262561021626148678277577638243695935908137849154003650403645777529907917574848842949017119515903047011533084027462653077277757981188421016592431653491406965194220722463721379527244115577801712129908124126434516018834015732661218578122012550128785060883132519928456579766126337806503164815962585046107667607789105994487548442253214336961726547197977701551930072658666202216190053518508567594459533802650385305378095103992630885317653662638544546310570934612885545927999953874696945491814912991546937014462083667162120507972588700528985040140888530824516023425363616253851760956132994247955607901142514439033216624500582185466292197540268701049032035774267}
23218  45748818608680396663128758975291898475938003030631360642573335494390499376421: {324926,394417,464180,557016,603278,626643,672481,881486,1020932,1206452,1366381,1577396,1992878,2041688,2296899,2334817,2436315,2598736,2900375,2923578,3024397,3162097,3378878,3410547,3480450,3712480,3800372,4060175,4123981,4176540,4266776,4355396,4398157,4454976,4523415,4535137,4800123,4824976,4872210,5011848,5197024,5358507,5428098,5638329,5800250,5846652,5900977,6379175,6445297,6572612,6960300,7124077,7240526,7259617,7424320,7515278,7655010,7679492,7936237,7956571,8165344,8206381,8352360,8909184,8969396,9149617,9160766,9186012,9252411,9396405,9819416,9821197,10022832,10223281,10254878,10624717,10891981,11014775,11046843,11158957,11275686,11366530,11558881,11728196,11756823,11825137,12861015,13217730,13548781,13639836,13718416,13797455,13930052,14098912,14479796,14603437,14942715,15260257,15433218,15861276,15938896,15944372,16237900,16556946,16580135,17772212,17931258,18128881,18137396,18387937,18517357,18656126,19414532,19485480,19641083,19710650,19730078,19896162,19946787,19998206,20321677,20784512,20881496,20962657,21090637,21601837,21921165,22145972,22671566,23054852,23197000,23258715,23382576,23491683,23508577,23652780,23705979,23746175,24188888,24518881,24799886,24809296,24870212,25229632,25399117,25414196,26025697,26096625,26125406,26150797,26208663,26305398,26863412,27212499,27410235,27491096,27836400,27910458,28058690,28129796,28266481,28286907,28383336,28495410,28637677,28672052,29028878,29237584,29542786,29692160,29870317,30342878,30379803,30395104,30838196,30927483,31315950,31583917,31885976,31931253,32192497,32279732,32892282,32960078,33403680,33670428,34007437,34194492,34523486,34608817,34728877,34968781,35176088,35199787,35630592,35871723,36233396,36521137,36627027,36960935,37579140,38096555,38295051,38768077,38837643,39277892,39573099,39940237,40057057,40084416,40523617,41453281,41750846,42001771,42134852,42203980,42378337,42954157,43183981,43757281,43924376,44272196,44353122,44556877,44898481,45094968,45303215,45715866,46105688,46371277,46586859,46934497,47097278,47350286,47469572,48055537,48103035,48108446,48360878,48835981,48842331,49373336,49414923,49620878,49995484,50165677,50285410,50644776,50731839,50826637,50877278,51010052,51046381,51309904,51716612,51868899,52228635,52246196,52873611,53227981,53252043,53379278,53444557,53657012,54289815,54361652,54363858,54423650,54771035,55545003,55594477,55710544,55722579,56114846,56127457,56764657,56975373,56977688,57106655,57504781,57723642,57877172,57909136,58052612,58241377,58403396,58558171,59911777,60002530,60119281,60291400,60342492,60636781,60680372,61043966,61276715,61358257,61554692,61557027,61718735,62178481,62267246,62523735,62674362,62944775,63486926,63501517,64049739,64099899,64410337,64490459,64553816,64703006,65012977,65147778,65308380,65354107,65633816,65712781,65725242,65857666,65914292,66210481,66375267,66634215,66691984,66882878,67827825,67847966,68346932,68476717,68527986,68687835,68866957,69174427,69387572,69662272,69915003,69934177,70250606,71076496,71422120,71446526,71566381,71836300,71852257,72003036,72009455,72151611,72349680,72623043,72835055,72876878,73112963,73113747,73114766,73177688,73177777,73267024,73282175,73532058,73666967,73711172,73741537,73838043,74062482,74064878,74408503,75028482,75099035,75533730,75602017,75786481,76430078,76978477,77172992,78067981,78370056,78967981,79018175,79038627,79961058,80127217,80349885,80569312,80693336,80746381,80804787,80922637,80929796,81272132,81293003,81393390,82061281,82280078,82324899,82425402,82561835,82739587,83101537,83494196,83654530,83835572,83905688,84472417,84897037,85706544,85717900,85894775,85976846,86051396,86203560,86411346,86505755,86566011,86577963,86743981,86819616,86895278,87040175,87402066,87525627,87938610,88166313,88244259,88637617,89248088,89449057,89610481,90118842,90173197,90326555,90636212,90640476,90652717,90780003,91381016,91950464,92232397,92321187,92388781,92583278,92788683,93321037,93363010,93801184,94017332,94082380,94089997,94166497,94393899,94471777,94576088,94699981,94821810,94927537,95057486,95078881,95196507,95654625,95729246,95980897,96196175,96419862,96544772,96979005,97002178,97093837,97358379,97553732,97592026,97672068,98552557,98820610,99074202,99127981,99232772,99641267,...,368407965830945746366921140642859828783990065447599508632003867429354932014004787448421758748201842151671631629705760340869911788350260307292007152054037555918202235279754072890888807304397736682941069334139328452240412454205800207874115709823412138172362215734935530287004688960199354528369468631186785926563813513753341136789538827414604988597625151535608224593625877589803758522717767188692023646535247941365096584650300153150305563729708402593440869811455996980191506830786998444619445946165018708371353696750420511360344808355428413566721167379393301811305896333471107779730475875403358487701477511299588440514113288864588753458928082555125673744084695937394964571068658625035997824529073530517683074337437387258837253585996909498802013054378042350586080934516224493269041754342093091602284586763822828858582274949791917275030364011177655054069233419071005716417282764882432341929639252524459441872210829723361909046475303552302007877557786295301168643294111292813811704060265129926310864210184258849135184502861598639517496592594420734164242920019970687268448654308771229172556168587545830641747316908779529562679848526168589589915569468132688759872813955645439623126122182845824134300285579821804760210860392775005551698643538386878043198857753260152351245854909676694103534982414058780270414579147522444382352568469283321540469005351195545034287555327476102902555512391255975683739277389259742630384896929329104252598254852476109643783875222435089672595086109294544605028955334224915757095915785266323691674013391588708776337642184432225776153359675058581133543882933128834498795409973730152500087836194569629629595464659055350540104848773415098382505651484022879382875245745545025207675296297810123336984601387179049053301223464174924541414820914376075655057128766753984381658934405081801933388496024099983075009638149683173712869312262499841994684255829429851130093314190097442652489846193990616823574687751665191783357838716897420272832577287103879732700955425150245822535951509036800974494754887761924972509659047008704289877296093516707596601206797751334691728876308192957227600100030469337810379666625466258902305895443790260975506942840962790662597826577350356285421305353671603082035072495419721936155398573833506678099212490835395592373839324420558412148442021187032434952244878137180445437982142849308861021000016387939241234033579913180767997769112874083809836188672690219397627376160457018439034904904069633391150260808413222775161823936200808669857212218879565443031994119008377571283823695784576939879999256287766273382932059409913295607366783673995654964187792077578841877512346309584626624941478983316965662502267381393080922075263093204624530046478610250038396981568465984922851950667766851757187854965564033012803188109231238061382817509323639973459579635665847175832442881023266525071663169817084557890663124008854178163430730203726412601013640882973478170545346305968777053013907201086751075408111312657787499772303551803250150241869615972448467193150909989303225411959871805003172379915618538784289167415658295016748028834864904370103517658261247877517132205338200538194370039877223433131790598689492687870729348710778703283537436370343974917894688789908871321875953592294296618295172702992154103735616173210832168579354691778687643548291437496016733505046747844176693237942106354835117075337553087950113394810223477052141325983397923004285782615635396263970268735906763544888269621586738024678090125946045070200513740504126805323507847090204883518059395080761246150514061237333271832929260655753217322062582685949444889549494010630118267371980053521184707766021364567151488338469014608177325663940810534856685918710955499334109580621722930053691601398709381032356}
23219  45912295200887115791029201304759668001742366978729188018732356684583170763780: {487389,580225,696270,742688,835524,904917,1276165,1322229,1508065,1531398,1786477,1809678,1971745,2273894,2366094,2552110,2806837,2989317,3062532,3248420,3733429,3898104,4221854,4385367,4547396,4640600,4750465,4846501,5068317,5124769,5220675,5333470,5444245,5568720,5700558,5939968,6031220,6264810,6400164,6496280,6533094,6682464,7144676,7237464,7308315,7517772,7795536,8142147,8215765,8591989,8672686,8700375,8769978,9280400,9599365,9858918,10206680,10440450,10448317,10860789,11136480,11211745,11272917,11424289,11482515,11519238,11878912,12003614,12248016,12258517,12274270,12336548,12528540,13363776,13454094,13741149,13779018,13946534,14150149,14660245,14729124,15034248,15382317,15452389,15675764,16913529,16929229,17049795,17148020,17412565,17592294,17623640,18040861,18099745,18186448,18271309,18677438,19708309,19826595,19923620,19930465,20297375,20459754,20577624,20819941,20895078,21148368,21165277,21708134,21719694,22075928,22215265,22286654,22671745,23149827,23212429,23791914,23908344,23916558,23946406,24054709,24268165,24356850,24835419,25582886,25980640,26101870,26528216,26595716,26658318,26746369,26896887,27206094,27290726,27682465,27695701,27900229,27919117,27984189,28211317,28818565,28996250,29121798,29228220,29565975,29595117,29844243,29997309,30236110,30779077,31011620,31087765,31176768,31322244,31537040,31543909,31607972,31767745,32130709,32244157,32283646,33218958,33579265,34007349,34363870,34582278,34767997,34795500,34944884,35073864,35162245,35479170,35840065,36283332,36455509,36546980,36704798,37115200,37199829,37213944,37305318,37715876,37793701,37844448,37993880,38121294,38297677,38433829,38547745,38953438,39188109,39458097,39577141,39857470,40295118,40342477,40349665,40446349,40506404,41236644,41754600,41865687,42003589,42088035,42194694,42326317,42575004,42743115,43008078,43201669,43543317,43856376,43902638,43970110,44314179,44326981,44538240,44573437,44661409,44893904,44896166,45263086,45291745,45344101,45514317,45592656,45846757,46257294,46973925,47507456,47828964,48358717,48419598,48746726,48836036,48938689,49097365,49338423,49440117,49567789,49855477,49864837,50017669,50105520,50505642,50670494,50880517,51060068,51291738,51379117,51533869,51783524,51785229,52668565,52754975,52764132,53445888,53583829,54350094,54375046,54497869,54905470,55340245,56368710,56484589,57429589,57632110,57815617,57879109,58355486,58393249,58647829,58891526,58916838,59137496,59336965,60032989,60126624,60954488,61699238,61716670,62115812,62191934,62494355,62626269,63202278,63305970,63365534,63730141,63762565,63841069,64030477,64108646,64137380,64645765,65123108,65236174,65307745,65886564,66408294,66529683,67071265,67526368,67642452,67728289,67952065,68375197,68573799,68960869,69158532,69585217,69638180,70498148,70606669,70645917,70835617,70937029,71002724,71025429,71204358,71222110,72162669,72285397,72346465,72386420,72485144,72541317,72565765,72658909,72959041,73004245,73417477,73713229,74060004,74296772,74431317,74716717,74817661,74993226,75364250,75428115,75580846,75689749,75850465,75967164,76315917,76515078,76559677,76943365,76964856,77336677,77574918,77819149,78092077,78294421,78369294,78442117,79252669,79321966,79958389,80068917,80210689,80456656,80485518,80692270,81542478,81545787,81635475,82024549,82042270,82076036,82392865,82754077,83133301,83193829,83295157,83364980,83565816,84172269,84645286,84782797,84941029,85399652,85433665,85466532,85538438,86100229,86253697,86585463,86734465,86815758,86863704,87077840,87078918,87260437,87601141,87605094,87633656,87755701,88353949,88454389,88500356,88700254,88845620,89277650,89433889,89795375,90003795,90187069,90437100,90506078,90513738,90680326,91020558,91370648,91472110,91565949,91583780,91589569,91793137,92138965,92332038,93220004,93298669,93400869,93634477,93891469,94011543,94071217,94760989,94816309,95195806,95230389,96004048,96202148,96466240,96665269,96830724,97054509,97484996,97647758,97721667,97962570,98042744,98450724,98587863,98749976,98786499,98871438,99082549,99435709,99560161,99615637,99989797,...,552611948746418619550381710964289743175985098171399262948005801144032398021007181172632638122302763227507447444558640511304867682525390460938010728081056333877303352919631109336333210956596605024411604001208992678360618681308700311811173564735118207258543323602403295430507033440299031792554202946780178889845720270630011705184308241121907482896437727303412336890438816384705637784076650783038035469802871912047644876975450229725458345594562603890161304717183995470287260246180497666929168919247528062557030545125630767040517212533142620350081751069089952716958844500206661669595713813105037731552216266949382660771169933296883130188392123832688510616127043906092446856602987937553996736793610295776524611506156080888255880378995364248203019581567063525879121401774336739903562631513139637403426880145734243287873412424687875912545546016766482581103850128606508574625924147323648512894458878786689162808316244585042863569712955328453011816336679442951752964941166939220717556090397694889466296315276388273702776754292397959276244888891631101246364380029956030902672981463156843758834252881318745962620975363169294344019772789252884384873354202199033139809220933468159434689183274268736201450428369732707140316290589162508327547965307580317064798286629890228526868782364515041155302473621088170405621868721283666573528852703924982310703508026793317551431332991214154353833268586883963525608916083889613945577345393993656378897382278714164465675812833652634508892629163941816907543433001337373635643873677899485537511020087383063164506463276648338664230039512587871700315824399693251748193114960595228750131754291854444444393196988583025810157273160122647573758477226034319074312868618317537811512944446715185005476902080768573579951835196262386812122231371564113482585693150130976572488401607622702900082744036149974612514457224524760569303968393749762992026383744144776695139971285146163978734769290985925235362031627497787675036758075346130409248865930655819599051433137725368733803927263555201461742132331642887458764488570513056434815944140275061394901810196627002037593314462289435841400150045704006715569499938199388353458843165685391463260414261444185993896739866025534428131958030507404623052608743129582904233097860750260017148818736253093388560758986630837618222663031780548652428367317205770668156973214273963291531500024581908861851050369869771151996653669311125714754283009035329096441064240685527658552357356104450086725391212619834162742735904301213004785818328319348164547991178512566356925735543676865409819998884431649410074398089114869943411050175510993482446281688116368262816268519464376939937412218474975448493753401072089621383112894639806936795069717915375057595472352698977384277926001650277635781782448346049519204782163846857092074226263985459960189369453498770763748664321534899787607494754725626836835994686013281267245146095305589618901520461324460217255818019458953165579520860801630126613112166968986681249658455327704875225362804423958672700789726364983954838117939807707504758569873427808176433751123487442525122043252297356555155276487391871816275698308007300807291555059815835149697685898034239031806094023066168054925306154555515962376842033184863306982813930388441444927442759054488231155603424259816248252869032037668031465322437156244025100257570121766265039856913159532252675613006329631925170092215335215578211988975096884506428673923453094395955403103860145317332404432380107037017135188919067605300770610756190207985261770635307325277089092621141869225771091855999907749393890983629825983093874028924167334324241015945177401057970080281777061649032046850727232507703521912265988495911215802285028878066433249001164370932584395080537402098064071548534}
23220  46076352118896742614095639416262719049681838073551777654216104700304098843439: {255299,394451,440819,533531,649852,718859,788834,928360,1044405,1089131,1114032,1206556,1227851,1253286,1344962,1412699,1762972,2041864,2058659,2297097,2381051,2412904,2714517,2732762,3154792,3208259,3410841,3437579,3549141,3620891,3758291,3828165,3849851,3985756,4060525,4083376,4124339,4170059,4398539,4444211,4581179,4593798,4669634,4872630,5197472,5219411,5684245,5800750,5847156,5901491,6048794,6324194,6332781,6355211,6491171,6757756,6821094,6960900,7169891,7424960,7539025,7600744,7981979,8000205,8120350,8207099,8247962,8353080,8387051,8533552,8550837,8710792,8796314,8909952,8930845,9046830,9070274,9329699,9397215,9600246,9649952,9744420,9799641,9866771,10023696,10090211,10394048,10717014,10856196,10892939,11276658,11337779,11426651,11600500,11693304,11801954,11826179,11870531,12269339,12758350,12888419,12890594,13009029,13065011,13145224,13154967,13549979,13594019,13726091,13920600,14248154,14481052,14519234,14604731,14736251,14788377,14848640,15030556,15261611,15310020,15358984,15420685,15660675,15872474,15913142,15960299,16178219,16330688,16412762,16613459,16704720,16874219,17278857,17351531,17654771,17818368,17938792,18005421,18173699,18299234,18321532,18372024,18411405,18432731,18504822,18562139,18777659,18792810,19079051,19316437,19594705,19594811,19638832,19642394,20045664,20181141,20446562,20509756,20668527,20708339,20879171,20919801,20964539,21092531,21249434,21435025,21783962,22028939,22029550,22093686,22317914,22551372,22733060,22876859,23117762,23212189,23257379,23456392,23510699,23513646,23552891,23650274,24058571,24142739,24268931,24521099,24904525,24940739,25443251,25722030,26028059,26278211,26388441,26435460,26777651,26902331,27026939,27097562,27279672,27436832,27594910,27648899,27860104,28016157,28021211,28145171,28197824,28310339,28959592,29052011,29206874,29750099,29885430,30159659,30520514,30527579,30689631,30866436,31220771,31342617,31505531,31627451,31722552,31877792,31888744,32195459,32235971,32438411,32475800,32562201,32579541,33113892,33160270,33244645,33429981,33769499,34010579,34732091,34772099,34972019,35011979,35544424,35687871,35729891,35849291,35862516,35874837,35919609,36257762,36274792,36524531,36535275,36564179,36775874,36999779,37034714,37236971,37312252,37631651,38300771,38374329,38575619,38764525,38829064,38970960,39006731,39152805,39282166,39421300,39460156,39509965,39792324,39893574,39982931,39987477,39996412,40099739,40527419,40643354,40643891,40809141,40936089,41495819,41569024,41762992,41920331,41925314,42181274,42305411,42420779,42958211,42996539,43203674,43494375,43646891,43681105,43682697,43842330,43990259,44291944,44332979,44599091,44940659,45343132,45354165,45357251,45508499,45683725,46109704,46300451,46375691,46394000,46517430,46765152,46938971,46976459,46983366,47017154,47144845,47305560,47411958,47492350,47612531,47761859,48377776,48425469,48729371,48877739,48988931,49037762,49432979,49599772,49618592,49740424,49828437,50170499,50459264,50633005,50798234,50828392,50831531,51197651,51307331,51380411,51545805,51745309,51854651,51873417,52051394,52193250,52250812,52301594,52417326,52509059,52610796,52835291,53218755,53233139,53335177,53485811,53726824,53774099,53989979,54424998,54635891,54820470,54886379,54982192,54993611,55057197,55172171,55386179,55599899,55635491,55672800,55820916,55957977,56117380,56132939,56259592,56532962,56573814,56766672,56770211,56982059,56990820,57181941,57275354,57344104,58057756,58072019,58247099,58430157,58475168,58561739,58701371,58875731,59085572,59384320,59740634,59786205,60159779,60442677,60677219,60685756,60759606,60790208,60986819,61045045,61295771,61676392,61854966,62631900,62695019,63167834,63292041,63424501,63541619,63771952,63825085,63862506,63912539,64215299,64384994,64512117,64550939,64559464,64729405,65019491,65052899,65253179,65752619,65784564,65852291,65853957,65920156,65955165,66217139,66250259,66713099,66807360,67340856,67344249,67502891,67894629,68014874,68320691,68385899,68388984,68483651,68516219,69046972,69198299,69217634,69385941,69457754,69554171,69651059,69937562,69973499,70352176,70399574,70904051,70999931,71223371,71261184,71319011,71743446,71859611,72466792,72524219,72629397,73042274,73120089,73254054,73467539,73686611,73749131,73842851,73921870,74310371,74527931,75158280,75517499,75640619,75758463,75825059,76005741,76070531,76193110,76215997,76590102,76679449,76712459,76895219,76937607,76986491,77077691,77536154,77644765,77675286,77744291,78076139,78376979,78555784,78886571,78976259,79146198,79880474,79949317,80046899,80114114,80165219,80168832,80171725,80489939,80784299,80960531,81047234,81403885,81525141,81562569,82333669,82358205,82906562,83139131,83483531,83501692,83712491,84003542,84269704,84339491,84407960,84509819,84553065,84756674,84934379,85413371,85694051,85787401,85908314,86169371,86367962,86406229,86448165,86753339,86899417,87047725,87060961,87085451,87514562,87533229,87848752,87855899,88122685,88238771,88320611,88337289,88375257,88544392,88706244,88753405,89113754,89796962,89888699,90022619,90183059,90189936,90209771,90449819,90483025,90606430,90662651,90689219,90927971,91139651,91218899,91377179,91431732,91614059,91771619,92112011,92211376,92242571,92398979,92425019,92548857,92575005,92742554,92870965,93173718,93287901,93331379,93434339,93868994,94100459,94125971,94194556,94482299,94700572,94735859,94803417,94938131,94939144,94958955,95048301,95089499,95991659,96073549,96111074,96141011,96162969,96206070,96216892,96389291,96612059,96686171,96721756,97104779,97251971,97545491,97671962,97684662,97854261,98225891,98746672,98829846,98947931,99139259,99163139,99234731,99241756,99282419,99496619,99612441,99875819,99990968,99993899,...,828917923119627929325572566446434614763977647257098894422008701716048597031510771758948957183454144841261171166837960766957301523788085691407016092121584500815955029379446664004499816434894907536617406001813489017540928021963050467716760347102677310887814985403604943145760550160448547688831304420170268334768580405945017557776462361682861224344656590955118505335658224577058456676114976174557053204704307868071467315463175344588187518391843905835241957075775993205430890369270746500393753378871292093835545817688446150560775818799713930525122626603634929075438266750309992504393570719657556597328324400424073991156754899945324695282588185749032765924190565859138670284904481906330995105190415443664786917259234121332383820568493046372304529372350595288818682102661505109855343947269709456105140320218601364931810118637031813868818319025149723871655775192909762861938886220985472769341688318180033744212474366877564295354569432992679517724505019164427629447411750408831076334135596542334199444472914582410554165131438596938914367333337446651869546570044934046354009472194735265638251379321978118943931463044753941516029659183879326577310031303298549709713831400202239152033774911403104302175642554599060710474435883743762491321947961370475597197429944835342790303173546772561732953710431632255608432803081925499860293279055887473466055262040189976327146999486821231530749902880325945288413374125834420918366018090990484568346073418071246698513719250478951763338943745912725361315149502006060453465810516849228306266530131074594746759694914972507996345059268881807550473736599539877622289672440892843125197631437781666666589795482874538715235909740183971360637715839051478611469302927476306717269416670072777508215353121152860369927752794393580218183347057346170223878539725196464858732602411434054350124116054224961918771685836787140853955952590624644488039575616217165042709956927719245968102153936478887853043047441246681512555137113019195613873298895983729398577149706588053100705890895332802192613198497464331188146732855769584652223916210412592092352715294940503056389971693434153762100225068556010073354249907299082530188264748528087194890621392166278990845109799038301642197937045761106934578913114694374356349646791125390025723228104379640082841138479946256427333994547670822978642550975808656002235459821410944937297250036872863292776575554804656727994980503966688572131424513552993644661596361028291487828536034156675130088086818929751244114103856451819507178727492479022246821986767768849535388603315515298114729998326647474115111597133672304915116575263266490223669422532174552394224402779196565409906118327712463172740630101608134432074669341959710405192604576873062586393208529048466076416889002475416453672673672519074278807173245770285638111339395978189940284054180248156145622996482302349681411242132088440255253992029019921900867719142958384428352280691986690325883727029188429748369281291202445189919668250453480021874487682991557312838044206635938009051184589547475932257176909711561257137854810141712264650626685231163787683064878446034832732914731087807724413547462010951210937332589723752724546528847051358547709141034599252082387959231833273943565263049777294960474220895582662167391164138581732346733405136389724372379303548056502047197983655734366037650386355182649397559785369739298379013419509494447887755138323002823367317983462645326759643010885179641593933104655790217975998606648570160555525702783378601407951155916134285311977892655952960987915633638931712803838656637783999861624090836475444738974640811043386251001486361523917766101586955120422665592473548070276090848761555282868398982743866823703427543317099649873501746556398876592620806103147096107322801}
23221  46240991409277350047295387546829330272520869961202708956276917243663768926360: {812315,974778,1160450,1183251,1392540,1485376,1508195,1671048,1786631,1809834,1879929,2017443,2111291,2203715,2552330,2644458,2760443,3016130,3062796,3317171,3572954,3619356,3943490,4099143,4547788,4732188,4982195,5104220,5613674,5727683,5978634,6125064,6496840,6650651,6890697,7004451,7308945,7466858,7621943,7796208,8443708,8447195,8701125,8770734,9073191,9094792,9281200,9431411,9486291,9500930,9693002,10136634,10231641,10249538,10441350,10666940,10888490,10957991,11137440,11401116,11502071,11879936,12062440,12180525,12212171,12348011,12371943,12529620,12768323,12800328,12992560,13066188,13194471,13364928,13439111,13570245,13605411,14289352,14400369,14474928,14500625,14572043,14616630,15035544,15591072,15696443,16075521,16284294,16431530,16518071,16914987,17056391,17183978,17345372,17400750,17539956,17702931,18101315,18560800,18788195,18920903,19137525,19198730,19335891,19717836,20100839,20413360,20524343,20880900,20896634,21372231,21721578,21778851,22255799,22272960,22423490,22545834,22848578,22901915,22965030,23038476,23757824,23808711,23869713,23999291,24007228,24377591,24496032,24517034,24548540,24619143,24673096,25057080,25339643,25637195,25943303,26727552,26908188,27448851,27482298,27558036,27757233,27893068,27902651,28189215,28300298,28416325,28705571,29320490,29458248,29463591,30068496,30669843,30764634,30904778,31101371,31203719,31351528,31740443,31874151,32675943,32731283,33044325,33140529,33476871,33719351,33827058,33858458,33975431,34099590,34296040,34676643,34825130,35107931,35184588,35247280,35270469,35275559,35475411,35644871,36081722,36199490,36372896,36542618,37354876,38106731,38300999,38583045,38755451,39416618,39653190,39812531,39847240,39860930,40345991,40594750,40646343,40918739,40919508,41089451,41155248,41392365,41639882,41790156,42296736,42306599,42330554,43416268,43439388,43522871,43810311,44151856,44430530,44474843,44573308,44665283,44828145,45204743,45260891,45343490,45359891,45780771,45850739,46299654,46424858,46640315,46747751,47010971,47583828,47816688,47833116,47892812,48109418,48536330,48713700,48865091,49227143,49276625,49325195,49670838,49740405,49995515,50022011,50176091,50371079,51165772,51961280,52203740,52313771,53056432,53191432,53316636,53492738,53588483,53793774,53966843,54182531,54386643,54412188,54581452,55163811,55364930,55391402,55552071,55800458,55838234,55968378,56422634,56489531,56678915,57151211,57307043,57423719,57637130,57992500,58243596,58456440,58923249,58931171,59131950,59177051,59190234,59688486,59840361,59994618,60472220,60635891,60909383,60965031,61558154,61999715,62023240,62175530,62353536,62644488,62887971,63074080,63087818,63215944,63271911,63408443,63535490,63846611,64261418,64488314,64567292,64805511,65263043,65313515,65763495,66437916,67158530,67390391,68014698,68727740,68736311,69164556,69535994,69591000,69776145,69889768,70146725,70147728,70324490,70475049,70525731,70958340,71117937,71238525,71351783,71680130,72566664,72572195,72911018,73093960,73409596,73556643,73716791,73719623,73735991,73856965,74230400,74399658,74427888,74610636,75431752,75499091,75587402,75688896,75696323,75857195,75987760,76197351,76242588,76595354,76867658,77095490,77476343,77906876,77990699,78077091,78289875,78376218,78452391,78467303,78625989,78916194,79154282,79169219,79714940,80590236,80684954,80699330,80807051,80892698,81012808,81637497,82230705,82400195,82473288,82475891,82859243,83071751,83201051,83506919,83509200,83731374,84007178,84176070,84389388,84652634,84799443,84860721,85150008,85486230,85913031,85951379,86016156,86308715,86403338,86974343,87086634,87492097,87712752,87763379,87805276,87940220,87961691,88628358,88653962,89076480,89146874,89267591,89322818,89610951,89787808,89792332,90504071,90526172,90583490,90688202,90799031,91028634,91139409,91185312,91397891,91430843,91693514,92514588,92782449,92926643,93642599,93899771,93947850,94079411,94751751,95014912,95132891,95657928,95793759,95819771,96270851,96459851,96577491,96717434,96839196,97493452,97672072,97877378,97906091,98194730,98439731,98676846,98880234,99135578,99710954,99729674,99955523,...,1105223897492837239100763421928579486351970196342798525896011602288064796042014362345265276244605526455014894889117281022609735365050780921876021456162112667754606705839262218672666421913193210048823208002417985356721237362617400623622347129470236414517086647204806590861014066880598063585108405893560357779691440541260023410368616482243814965792875454606824673780877632769411275568153301566076070939605743824095289753950900459450916691189125207780322609434367990940574520492360995333858337838495056125114061090251261534081034425066285240700163502138179905433917689000413323339191427626210075463104432533898765321542339866593766260376784247665377021232254087812184893713205975875107993473587220591553049223012312161776511760757990728496406039163134127051758242803548673479807125263026279274806853760291468486575746824849375751825091092033532965162207700257213017149251848294647297025788917757573378325616632489170085727139425910656906023632673358885903505929882333878441435112180795389778932592630552776547405553508584795918552489777783262202492728760059912061805345962926313687517668505762637491925241950726338588688039545578505768769746708404398066279618441866936318869378366548537472402900856739465414280632581178325016655095930615160634129596573259780457053737564729030082310604947242176340811243737442567333147057705407849964621407016053586635102862665982428308707666537173767927051217832167779227891154690787987312757794764557428328931351625667305269017785258327883633815086866002674747271287747355798971075022040174766126329012926553296677328460079025175743400631648799386503496386229921190457500263508583708888888786393977166051620314546320245295147516954452068638148625737236635075623025888893430370010953804161537147159903670392524773624244462743128226965171386300261953144976803215245405800165488072299949225028914449049521138607936787499525984052767488289553390279942570292327957469538581971850470724063254995575350073516150692260818497731861311639198102866275450737467607854527110402923484264663285774917528977141026112869631888280550122789803620393254004075186628924578871682800300091408013431138999876398776706917686331370782926520828522888371987793479732051068856263916061014809246105217486259165808466195721500520034297637472506186777121517973261675236445326063561097304856734634411541336313946428547926583063000049163817723702100739739542303993307338622251429508566018070658192882128481371055317104714712208900173450782425239668325485471808602426009571636656638696329095982357025132713851471087353730819639997768863298820148796178229739886822100351021986964892563376232736525632537038928753879874824436949950896987506802144179242766225789279613873590139435830750115190944705397954768555852003300555271563564896692099038409564327693714184148452527970919920378738906997541527497328643069799575214989509451253673671989372026562534490292190611179237803040922648920434511636038917906331159041721603260253226224333937973362499316910655409750450725608847917345401579452729967909676235879615415009517139746855616352867502246974885050244086504594713110310552974783743632551396616014601614583110119631670299395371796068478063612188046132336109850612309111031924753684066369726613965627860776882889854885518108976462311206848519632496505738064075336062930644874312488050200515140243532530079713826319064505351226012659263850340184430670431156423977950193769012857347846906188791910806207720290634664808864760214074034270377838135210601541221512380415970523541270614650554178185242283738451542183711999815498787781967259651966187748057848334668648482031890354802115940160563554123298064093701454465015407043824531976991822431604570057756132866498002328741865168790161074804196128143097068}
23222  46406215125766959166172201157544251374162027385146623233072559790872333283588: {301717,440857,510598,788902,881638,1067062,1299704,1437718,1462167,1577668,1740675,1828297,1856720,2088810,2178262,2228064,2413112,2455702,2506572,2689924,2714751,2825398,3483721,3525944,3758617,3828495,3966687,4083728,4117318,4170421,4444597,4524195,4594194,4762102,4825808,4855321,5265397,5359431,5429034,5465524,5684735,5915235,6309584,6380275,6416518,6821682,6875158,7098282,7241782,7516582,7656330,7699702,7957943,7971512,8121050,8166752,8248678,8340118,8420511,8797078,8888422,8967951,9162358,9187596,9339268,9745260,10001737,10394944,10438822,10554635,11200287,11368490,11601500,11694312,11802982,11871577,12097588,12503183,12648388,12665562,12710422,12933721,12982342,13156101,13333675,13515512,13595221,13642188,13921800,14251395,14339782,14539503,14849920,15078050,15175477,15201488,15204951,15374307,15568921,15662025,15963958,16000410,16240700,16332735,16414198,16495924,16614937,16706160,16774102,17067104,17101674,17266357,17421584,17592628,17819904,17861690,18093660,18140548,18659398,18794430,19080757,19200492,19299904,19488840,19599282,19733542,20047392,20180422,20496457,20788096,21434028,21588959,21681715,21712392,21785878,21924945,22553316,22675558,22853302,22921237,23201000,23301721,23386608,23555017,23603908,23652358,23681557,23741062,24186997,24426441,24538678,24647295,24942997,25516700,25775967,25776838,25781188,25821721,26018058,26101125,26130022,26290448,26309934,27070921,27099958,27188038,27432587,27452182,27841200,28065097,28496308,28798095,28962104,29038468,29209462,29472502,29576754,29697280,30009035,30061112,30162421,30523222,30620040,30685675,30717968,30841370,30864559,31019977,31321350,31344951,31744948,31826284,31920598,31995721,32238937,32356438,32582367,32661376,32825524,33226918,33409440,33571477,33635235,33748438,33818751,34272867,34447545,34557714,34703062,34775317,34866335,35015221,35309542,35636736,35852617,35877584,36010842,36347398,36448597,36567577,36598468,36643064,36744048,36775551,36822810,36865462,37009644,37042777,37124278,37398421,37555318,37585620,38158102,38343637,38632874,39166921,39189410,39189622,39277664,39284788,40091328,40362282,40893124,41019512,41223447,41337054,41416678,41758342,41839602,41929078,42185062,42450447,42498868,42655321,42870050,43000597,43459957,43567924,43980735,44032537,44057878,44059100,44187372,44635828,45102744,45466120,45512821,45753718,46146951,46235524,46304857,46357167,46424378,46514758,46542503,46643221,46693595,46912784,46980937,47021398,47027292,47105782,47300548,47990197,48117142,48285478,48537862,49042198,49809050,49881478,50740587,50787687,50886502,51149385,51312277,51444060,51859657,52056118,52237695,52556422,52776882,52870920,53555302,53804662,54053878,54122583,54195124,54270335,54299235,54559344,54677017,54813927,54873664,54891721,55189820,55213237,55297798,55313951,55640917,55716635,55720208,56032314,56042422,56290342,56395648,56620678,57022921,57762037,57919184,58104022,58413748,59124927,59479785,59500198,59770860,59791395,59854357,59866015,60319318,60892125,61041028,61055158,61153547,61379262,61507477,61712821,61732872,62020297,62441542,62459823,62531317,62685234,62735221,63011062,63254902,63445104,63495831,63755584,63777488,63957215,64390918,64471942,64557397,64876822,64951600,65059417,65124402,65159082,65254675,66002783,66227784,66256921,66320540,66489290,66645795,66752821,66859962,67538998,68015235,68021158,68226815,68425417,68523157,69449481,69464182,69544198,69637287,69690421,69944038,70023958,70847317,70886207,71088848,71375742,71459782,71698582,71725032,71749674,71839218,72088921,72164127,72490625,72515524,72549584,72752437,72804495,72846937,73049062,73070550,73128358,73551748,73694197,73999558,74069428,74473942,74506257,74624504,75186037,75263302,75590275,76601542,76748658,76933657,77151238,77529050,77658128,77941920,78013462,78305610,78564332,78842600,78920312,79019930,79193557,79584648,79787148,79965862,79974954,79992824,80199478,80239107,80527897,80690661,80709115,81054838,81286708,81287782,81618282,81872178,82281817,82991638,83047395,83087103,83138048,83525984,83700687,83757351,83840662,83850628,83952567,84362548,84610822,84633951,84841558,85112821,85463063,85909675,85916422,85993078,86206537,86407348,86455695,86988750,87293782,87362210,87365394,87453397,87684660,87980518,88193737,88275637,88583888,88665958,88697925,88785351,89198182,89355119,89532729,89881318,89898517,89991927,90073451,90219637,90621167,90686264,90699157,90708330,90714502,91016998,91017397,91096777,91255321,91367450,91413577,91761995,92019983,92219408,92337231,92435221,92600902,92751382,92788000,93034860,93263295,93444697,93530304,93829717,93877942,93952918,93966732,94034308,94136437,94289690,94611120,94631727,94823916,94984700,95225062,95303235,95523718,96392127,96622921,96732471,96755552,96850938,97303427,97383595,97458742,97755478,97977862,98075524,98237017,98865958,98959177,99174421,99199544,99237184,99317557,99480848,99643675,99656874,99674137,...,1657835846239255858651145132892869229527955294514197788844017403432097194063021543517897914366908289682522342333675921533914603047576171382814032184243169001631910058758893328008999632869789815073234812003626978035081856043926100935433520694205354621775629970807209886291521100320897095377662608840340536669537160811890035115552924723365722448689313181910237010671316449154116913352229952349114106409408615736142934630926350689176375036783687811670483914151551986410861780738541493000787506757742584187671091635376892301121551637599427861050245253207269858150876533500619985008787141439315113194656648800848147982313509799890649390565176371498065531848381131718277340569808963812661990210380830887329573834518468242664767641136986092744609058744701190577637364205323010219710687894539418912210280640437202729863620237274063627737636638050299447743311550385819525723877772441970945538683376636360067488424948733755128590709138865985359035449010038328855258894823500817662152668271193084668398888945829164821108330262877193877828734666674893303739093140089868092708018944389470531276502758643956237887862926089507883032059318367758653154620062606597099419427662800404478304067549822806208604351285109198121420948871767487524982643895922740951194394859889670685580606347093545123465907420863264511216865606163850999720586558111774946932110524080379952654293998973642463061499805760651890576826748251668841836732036181980969136692146836142493397027438500957903526677887491825450722630299004012120906931621033698456612533060262149189493519389829945015992690118537763615100947473199079755244579344881785686250395262875563333333179590965749077430471819480367942721275431678102957222938605854952613434538833340145555016430706242305720739855505588787160436366694114692340447757079450392929717465204822868108700248232108449923837543371673574281707911905181249288976079151232434330085419913855438491936204307872957775706086094882493363025110274226038391227746597791967458797154299413176106201411781790665604385226396994928662376293465711539169304447832420825184184705430589881006112779943386868307524200450137112020146708499814598165060376529497056174389781242784332557981690219598076603284395874091522213869157826229388748712699293582250780051446456208759280165682276959892512854667989095341645957285101951617312004470919642821889874594500073745726585553151109609313455989961007933377144262849027105987289323192722056582975657072068313350260176173637859502488228207712903639014357454984958044493643973535537699070777206631030596229459996653294948230223194267344609830233150526532980447338845064349104788448805558393130819812236655424926345481260203216268864149338683919420810385209153746125172786417058096932152833778004950832907345347345038148557614346491540571276222678791956379880568108360496312291245992964604699362822484264176880510507984058039843801735438285916768856704561383973380651767454058376859496738562582404890379839336500906960043748975365983114625676088413271876018102369179094951864514353819423122514275709620283424529301253370462327575366129756892069665465829462175615448827094924021902421874665179447505449093057694102717095418282069198504164775918463666547887130526099554589920948441791165324334782328277163464693466810272779448744758607096113004094395967311468732075300772710365298795119570739478596758026839018988895775510276646005646734635966925290653519286021770359283187866209311580435951997213297140321111051405566757202815902311832268570623955785311905921975831267277863425607677313275567999723248181672950889477949281622086772502002972723047835532203173910240845331184947096140552181697523110565736797965487733647406855086634199299747003493112797753185241612206294192214645602}
23223  46572025329298493136434951957949996129521395175869544737629578401718735103745: {765897,1137241,1183353,1322457,1600593,1624630,1949556,1972085,2111473,2156577,2320900,2366502,2785080,2807321,2970752,3016390,3085201,3133215,3267393,3342096,3362405,3573262,3619668,3683553,3759858,3920293,4034886,4222582,4238097,4407430,5104660,5288916,5520886,5866817,6032260,6125592,6175977,6634342,6701621,6831905,6891291,6975073,7143153,7145908,7238712,7886980,8143551,8198286,9095576,9464376,9624777,9964390,10208440,10232523,10312737,10647423,10862673,11146213,11227348,11274873,11455366,11484495,11549553,11674085,11826073,11957268,12181575,12250128,12373017,12510177,12950353,12993680,13195617,13301302,13332633,13501697,13648897,13743537,13781394,14008902,14501875,14617890,14933716,15121985,15243886,15592416,15658233,15810485,16286401,16887416,16894390,17052735,17402250,17541468,17704473,18146382,18189584,18504041,18562400,18862822,18972582,18998343,19001860,19065633,19386004,19473513,20157553,20273268,20300875,20463282,20499076,20619905,20882700,21333880,21509673,21776980,21838937,21915982,21990785,22274880,22617075,22675685,22802232,23004142,23755537,23759872,23945937,24000615,24124880,24361050,24424342,24621297,24696022,24743886,25059240,25161153,25341841,25536646,25600656,25652511,25985120,26132376,26303473,26388942,26729856,26792535,26822737,26878222,27140490,27210822,27989097,28191645,28578704,28712057,28800738,28949856,29001250,29144086,29233260,29398923,29504885,29600313,30071088,30270633,31182144,31392886,31895875,32062681,32082697,32151042,32226485,32568588,32678817,32863060,33036142,33259721,33829974,34013337,34112782,34279953,34367956,34690744,34801500,34976021,35079912,35405862,35478537,35611593,35620385,35892073,36202630,36298085,36808017,36820513,37121600,37576390,37800257,37841806,38275050,38397460,38665257,38671782,39027087,39195033,39435672,39464901,39681185,39782855,40201678,40649937,40782057,40826720,41031905,41048686,41178273,41689297,41761800,41793268,42017081,42744462,43443156,43557702,43740721,43814193,43843217,44130353,44208753,44365131,44511598,44545920,44846980,45091668,45264817,45697156,45748085,45784833,45803830,45930060,46076952,46262055,46982025,47051173,47515648,47617422,47739426,47880897,47998582,48014456,48367121,48534657,48755182,48992064,49034068,49097080,49105985,49238286,49346192,49840377,50114160,50622657,50679286,51116405,51274390,51836571,51886606,52054593,52964313,53123585,53455104,53658977,53816376,54016263,54187237,54459905,54521097,54897702,54964596,55073875,55116072,55234215,55298193,55514466,55686417,55786136,55794785,55805302,56332977,56378430,56600596,56832650,57237153,57411142,57749653,57794405,57949311,58403381,58640980,58784115,58784433,58916496,58927182,59125685,59529457,60003113,60136992,60396017,60543423,61339686,61529268,61809556,62005581,62125017,62202742,62407438,62637513,62703056,62759403,62893617,63277593,63395321,63480886,63748302,64103441,64305075,64935653,65296441,65351886,65407721,65462566,66086817,66088650,66139057,66281058,66953742,67438702,67654116,67716916,67743905,67888337,67950862,68199180,68592080,68630577,68987275,69055273,69353286,69636567,69650260,69772137,69993721,70071161,70215862,70369176,70494560,70532097,70540938,70551118,70658673,70950822,71289742,71357977,71638961,72163444,72175713,72398980,72428217,72671513,72745792,72806793,73017185,73085236,73563297,74709752,74713575,74822217,75636437,76213462,76301285,76329753,76601998,77166090,77510902,78084177,78344321,78605897,78833236,78834633,79165323,79306380,79350481,79625062,79694480,79721860,80332953,80691982,80706993,81080817,81189500,81292686,81837478,81839016,82178902,82310496,82784730,82900675,82946697,83279764,83580312,84048471,84063633,84381337,84435513,84593472,84613198,84661108,84931017,86799601,86832536,86878776,86921537,87045742,87156033,87616337,87620622,88303712,88761497,88861060,88949686,89146616,89250297,89330566,89656290,90246497,90409486,90478977,90521782,90644405,90686980,90719782,90996053,91438921,91561542,91582737,91605461,91624433,91701478,91939685,92068893,92178937,92586785,92599308,92849716,93280630,93495502,93662313,94021942,94027851,94516593,94777457,94882353,95167656,95578421,95633376,95666232,95785624,96218836,96572921,96586377,96707913,97072660,97315233,97427400,97686603,97730182,97738623,98205415,98454286,98553250,98650390,99335377,99341676,99480810,99733935,99991030,...,2486753769358883787976717699339303844291932941771296683266026105148145791094532315276846871550362434523783513500513882300871904571364257074221048276364753502447865088138339992013499449304684722609852218005440467052622784065889151403150281041308031932663444956210814829437281650481345643066493913260510805004305741217835052673329387085048583673033969772865355516006974673731175370028344928523671159614112923604214401946389526033764562555175531717505725871227327979616292671107812239501181260136613876281506637453065338451682327456399141791575367879810904787226314800250929977513180712158972669791984973201272221973470264699835974085847764557247098297772571697577416010854713445718992985315571246330994360751777702363997151461705479139116913588117051785866456046307984515329566031841809128368315420960655804094795430355911095441606454957075449171614967325578729288585816658662956418308025064954540101232637423100632692886063708298978038553173515057493282888342235251226493229002406789627002598333418743747231662495394315790816743102000012339955608639710134802139062028416584205796914754137965934356831794389134261824548088977551637979731930093909895649129141494200606717456101324734209312906526927663797182131423307651231287473965843884111426791592289834506028370909520640317685198861131294896766825298409245776499580879837167662420398165786120569928981440998460463694592249708640977835865240122377503262755098054272971453705038220254213740095541157751436855290016831237738176083945448506018181360397431550547684918799590393223784240279084744917523989035177806645422651421209798619632866869017322678529375592894313344999999769386448623616145707729220551914081913147517154435834407908782428920151808250010218332524646059363458581109783258383180740654550041172038510671635619175589394576197807234302163050372348162674885756315057510361422561867857771873933464118726848651495128129870783157737904306461809436663559129142323740044537665411339057586841619896687951188195731449119764159302117672685998406577839595492392993564440198567308753956671748631237776277058145884821509169169915080302461286300675205668030220062749721897247590564794245584261584671864176498836972535329397114904926593811137283320803736739344083123069048940373376170077169684313138920248523415439838769282001983643012468935927652927425968006706379464232834811891750110618589878329726664413970183984941511900065716394273540658980933984789083084874463485608102470025390264260456789253732342311569355458521536182477437066740465960303306548606165809946545894344189994979942422345334791401016914745349725789799470671008267596523657182673208337589696229718354983137389518221890304824403296224008025879131215577813730619187759179625587145398229250667007426249361018021017557222836421519737310856914334018187934569820852162540744468436868989446907049044233726396265320765761976087059765702603157428875153285056842075960070977651181087565289245107843873607335569759004751360440065623463048974671938514132619907814027153553768642427796771530729134683771413564430425136793951880055693491363049194635338104498198744193263423173240642386032853632811997769171258173639586541154075643127423103797756247163877695499821830695789149331884881422662686747986502173492415745197040200215409169173117137910644169506141593950967203098112951159065547948192679356109217895137040258528483343663265414969008470101953950387935980278929032655538924781799313967370653927995819945710481666577108350135804223853467748402855935933677967858882963746900916795138411515969913351999584872272509426334216923922433130158753004459084571753298304760865361267996777420644210828272546284665848605196948231600471110282629951298949620505239669196629777862418309441288321968403}
23224  46738424088024817420080118236921463261656871842828408115414557102066619653219: {533623,603434,881714,1021196,1577804,1763276,2134124,2436945,2473519,2599408,2875436,2901125,2924334,3155336,3162919,3481350,3549753,3656594,3713440,3850519,4177620,4356524,4456128,4524585,4536319,4826224,4911404,5013144,5359893,5379848,5429502,5639787,5650796,5766223,6038743,6052329,6333873,6380825,6446983,6611145,6967442,7051888,7261519,7517234,7540325,7656990,7933374,7938319,7958629,8073463,8167456,8234636,8281329,8340842,8889194,8932385,9048390,9188388,9524204,9651616,9710642,9858725,9951513,10530794,10718862,10858068,10931048,11369470,11428663,11830470,12297429,12619168,12760550,12833036,13287919,13643364,13750316,14034185,14196564,14483564,14738863,14776489,14946585,15033164,15312660,15395503,15399404,15915886,15943024,16242100,16333504,16497356,16680236,16703383,16841022,17183049,17594156,17776844,17935902,18324716,18375192,18522319,18667145,18678536,19168519,19490520,19684183,19951953,20003474,20672091,20789888,20877644,20968303,21013353,21096319,21109270,21224263,21735319,21926835,22400574,22736980,22865829,22880983,23203000,23388624,23605964,23743154,23752325,24147103,24195176,24232505,25006366,25296776,25331124,25341585,25406023,25420844,25623845,25867442,25964684,26103375,26157919,26282983,26312202,26667350,27031024,27190442,27219573,27221225,27284376,27843600,28294233,28458873,28502790,28679564,29079006,29699840,29755543,30001423,30156100,30350954,30354401,30402976,30409902,30694923,30748614,31137842,31324050,31592623,31927916,32000820,32322919,32481400,32665470,32808343,32828396,32873973,32991848,33050623,33229874,33412320,33548204,34134208,34203348,34506213,34532714,34738519,34843168,34858543,35185256,35337919,35639808,35723380,35935519,36187320,36281096,36476297,36541575,36636513,37006663,37044033,37115829,37243903,37318796,37588860,38161514,38304969,38400984,38599808,38977680,39014023,39198564,39467084,39483319,39583413,40068319,40094784,40317333,40360844,40535023,40651519,40710735,40816233,40992914,41078825,41576192,42012649,42390319,42505663,42868056,42959945,43177918,43201107,43363430,43424784,43501875,43571756,43716129,43849890,43998583,45106632,45351116,45706604,45842474,46384519,46402000,46497343,46603442,46773216,47060383,47089329,47110034,47207816,47304716,47363114,47482124,47996825,48226563,48373994,48812869,48852882,49072423,49077356,49294590,49554213,49885994,50290519,50744961,51033400,51169173,51390319,51551934,51553676,51562376,51643442,52036116,52202250,52241585,52260044,52373983,52580896,52591783,52619868,53108793,54141842,54199916,54303945,54376076,54865174,54904364,55682400,56058725,56130194,56143903,56364585,56762709,56992616,57121445,57412575,57596190,57924208,58007673,58076936,58418924,58887319,58945004,59153508,59394560,59409319,60018070,60033343,60122224,60302517,60324842,61046444,61067623,61240080,61292585,61371350,61376503,61435936,61573029,61682740,61729118,62039954,62642700,62689902,63489896,63652568,63841196,63991442,64116693,64127263,64477874,64712876,64932223,65164734,65322752,65336553,65371033,65651048,66453836,66767397,66818880,66924463,67142954,67270470,67496876,67637502,68399743,68545734,68705745,68895090,69115428,69406124,69471319,69550634,69732670,70030442,70619084,70750745,71273472,71426133,71609139,71705234,71755168,71779063,71997873,72021684,72694796,72897194,73132773,73135154,73196936,73200343,73286128,73294519,73301225,73488096,73551102,73645620,73730924,73764319,73857429,73858063,74019288,74085554,74138863,74248556,74325703,74605423,74796842,75110636,75171240,75717823,75978469,76018929,76316204,76687274,76911585,77093743,77261945,77265748,77829909,78003289,78333842,78378820,78379244,78555328,78569576,80063743,80182656,80724564,81314057,81786248,82039024,82346553,82446894,82674108,82833356,83128063,83271699,83516684,83558623,83679204,83707953,83812421,83858156,83987383,84158383,84370124,84567645,84584623,84646145,84900894,84997736,85248975,85310642,85740100,86001194,86116713,86187919,86919914,87062825,87104263,87135848,87352663,87961470,88065074,88115756,88118200,88374744,88390773,89271656,89397463,89540101,90204305,90205488,90282919,90498725,90682519,90762223,90932240,91025642,91356545,91507436,92009529,92184583,92293902,92471048,92609714,92714334,92848756,93029516,93042319,93085006,93286442,93304113,93387190,93611157,93825568,93961874,94042796,94054584,94197919,94211564,94601096,95035063,95221329,95412703,95517541,95622453,95980394,96087919,96234284,96460519,96570956,96757303,97075724,97200319,98027829,98084396,98193849,98541545,99132975,99305023,99421587,99618100,99652325,99667073,99762956,...,3315671692478511717302290265785738459055910589028395577688034806864194388126043087035795828733816579365044684667351843067829206095152342765628064368486338003263820117517786656017999265739579630146469624007253956070163712087852201870867041388410709243551259941614419772583042200641794190755325217680681073339074321623780070231105849446731444897378626363820474021342632898308233826704459904698228212818817231472285869261852701378352750073567375623340967828303103972821723561477082986001575013515485168375342183270753784602243103275198855722100490506414539716301753067001239970017574282878630226389313297601696295964627019599781298781130352742996131063696762263436554681139617927625323980420761661774659147669036936485329535282273972185489218117489402381155274728410646020439421375789078837824420561280874405459727240474548127255475273276100598895486623100771639051447755544883941891077366753272720134976849897467510257181418277731970718070898020076657710517789647001635324305336542386169336797777891658329642216660525754387755657469333349786607478186280179736185416037888778941062553005517287912475775725852179015766064118636735517306309240125213194198838855325600808956608135099645612417208702570218396242841897743534975049965287791845481902388789719779341371161212694187090246931814841726529022433731212327701999441173116223549893864221048160759905308587997947284926122999611521303781153653496503337683673464072363961938273384293672284986794054877001915807053355774983650901445260598008024241813863242067396913225066120524298378987038779659890031985380237075527230201894946398159510489158689763571372500790525751126666666359181931498154860943638960735885442550863356205914445877211709905226869077666680291110032861412484611441479711011177574320872733388229384680895514158900785859434930409645736217400496464216899847675086743347148563415823810362498577952158302464868660170839827710876983872408615745915551412172189764986726050220548452076782455493195583934917594308598826352212402823563581331208770452793989857324752586931423078338608895664841650368369410861179762012225559886773736615048400900274224040293416999629196330120753058994112348779562485568665115963380439196153206568791748183044427738315652458777497425398587164501560102892912417518560331364553919785025709335978190683291914570203903234624008941839285643779749189000147491453171106302219218626911979922015866754288525698054211974578646385444113165951314144136626700520352347275719004976456415425807278028714909969916088987287947071075398141554413262061192458919993306589896460446388534689219660466301053065960894677690128698209576897611116786261639624473310849852690962520406432537728298677367838841620770418307492250345572834116193864305667556009901665814690694690076297115228692983081142552445357583912759761136216720992624582491985929209398725644968528353761021015968116079687603470876571833537713409122767946761303534908116753718993477125164809780759678673001813920087497950731966229251352176826543752036204738358189903729028707638846245028551419240566849058602506740924655150732259513784139330931658924351230897654189848043804843749330358895010898186115388205434190836564138397008329551836927333095774261052199109179841896883582330648669564656554326929386933620545558897489517214192226008188791934622937464150601545420730597590239141478957193516053678037977791551020553292011293469271933850581307038572043540718566375732418623160871903994426594280642222102811133514405631804623664537141247911570623811843951662534555726851215354626551135999446496363345901778955898563244173545004005945446095671064406347820481690662369894192281104363395046221131473595930975467294813710173268398599494006986225595506370483224412588384429291204}
23225  46905413477343866554377705027478111692057308778131387544249461830189613824555: {905151,1276495,1322571,1531794,1972255,2204095,2274482,2366706,2644914,2667655,2760919,2807563,3201186,3249260,3317743,3594295,3899112,3944170,4222946,4313154,4337839,4386501,4641800,4707367,4733004,5222025,5445655,5484891,5570160,5614642,5941504,6032780,6139255,6170402,6266430,6534786,6684192,6724810,6933511,7063495,7146524,7239336,7367106,7490047,7519716,7840586,8069772,8144253,8445164,8476194,8814860,9564667,10209320,10293295,10451023,10451163,10577832,11041772,11275851,11485485,11733634,11900061,11905255,11977339,12064520,12251184,12351954,12511263,13268684,13333791,13403242,13572585,13663810,13782582,13950146,14286306,14291816,14477424,14565963,15456391,15773960,15796191,15956551,16041295,16078293,16147399,16287102,16343719,16396572,17054205,17187895,17745705,18074683,18104455,18191152,18791455,18928752,19140825,19249255,19249554,19483447,19928780,20302625,20416880,20465046,20621695,20625474,20680987,20850295,21118603,21170779,21294846,21725346,21992695,22134679,22221055,22292426,22454696,22549746,22904251,22905895,22910732,22968990,23099106,23348170,23652146,23873829,23914536,24363150,24500256,24665839,24746034,24849607,25020354,25261533,25900706,25987360,26097055,26391234,26602604,26665266,26903853,27003394,27297794,27487074,27562788,28017804,28421225,28867867,29003750,29235780,29507455,29867432,30005211,30243970,30487772,30787099,31184832,31316466,31405051,31620970,31663905,31745959,31776055,32252539,32455855,32572802,33600861,33774832,33788780,33932431,34105470,34804500,35082936,35408946,35570791,35614731,35849455,36292764,36379168,37008082,37124800,37509549,37695125,37725644,37772923,37945164,37996686,38003720,38131266,38307643,38772008,38801163,38903383,38947026,39090847,39306943,39468303,39819439,39909895,40001025,40315106,40546536,40601750,40785663,40926564,40998152,41035495,41239810,41306839,41765400,41935255,42667760,42754185,42802447,43019346,43553960,43618509,43677874,43831964,43847023,43981570,44549760,44654225,44673031,45117079,45234150,45351370,45526431,45604464,45614853,46008284,46122921,46648495,46706763,46960267,46986075,47511074,47519744,47891874,48001230,48249760,48722100,48848684,48873583,48998205,49242594,49333855,49392044,49487772,49831879,49844811,49868539,49877839,50118480,50263663,50322306,50451055,50683682,50817319,51073292,51096379,51201312,51305022,51799071,51814711,51970240,52264752,52606946,52777884,52961047,53389963,53459712,53585070,53645474,53732359,53756444,54280980,54421644,54464695,54721531,55553659,55695997,55978194,56383290,56688895,57133255,57157408,57161143,57242271,57424114,57444667,57601476,57899712,58002500,58288172,58408447,58466520,58797846,59009770,59130895,59187319,59200626,59352655,60142176,60541266,60728359,60901423,61346695,61489371,62364288,62785772,63400843,63502399,63791750,64047319,64125362,64165394,64302084,64442095,64452970,64766877,64977487,65045145,65137176,65274367,65325055,65357634,65413399,65726120,65774835,66072284,66276439,66519442,67659948,67749895,67970095,68026674,68225564,68393083,68559906,68630455,68735912,68748379,68763711,69381488,69512923,69603000,69889039,69905163,69952042,70077247,70159824,70665051,70811724,70854079,70957074,71044671,71223186,71240770,71377111,71562967,71784146,72405260,72560991,72596170,72978007,73023655,73102747,73279323,73616034,73641026,73681255,73732411,73874383,73941885,74243200,74373019,74736199,74828991,74921743,75152780,75600514,75683612,76065007,76243867,76308055,76550100,76579579,76794920,77063839,77103425,77327901,77330514,77343564,77356939,77465163,78054174,78112699,78303375,78314827,78390066,78848143,78871344,78929802,79002631,79362370,79565710,79801495,80231671,80403356,80852743,80891095,80912167,81212763,81299874,81564114,81653440,82063810,82097372,82297761,82356546,82440331,82775959,83067295,83378594,83523600,83586536,84034162,84195291,84371095,84805039,85488924,85766587,86276119,86373211,86394285,86757655,86886312,87115404,87481442,87628386,87686434,88260706,88273855,88417506,88730262,88769263,89023196,89091840,89370031,89693960,90027105,90183336,90487263,90529634,90868495,91310347,91377679,91394312,91496170,91569666,91607660,91613407,91632391,91816999,91860120,92057025,92153904,92163655,92524110,92588743,92593677,92810695,92942767,93059931,93658843,93888295,93964050,94034853,94102346,94841467,95031296,95234844,95395255,95478852,95761794,95836423,95987163,95997164,96028912,96582185,96716811,96734242,97069314,97471063,97510364,97747101,97923079,97973525,97974055,97984128,98068136,98194160,98211970,98476572,98692384,99641839,99680754,...,4973507538717767575953435398678607688583865883542593366532052210296291582189064630553693743100724869047567027001027764601743809142728514148442096552729507004895730176276679984026998898609369445219704436010880934105245568131778302806300562082616063865326889912421629658874563300962691286132987826521021610008611482435670105346658774170097167346067939545730711032013949347462350740056689857047342319228225847208428803892779052067529125110351063435011451742454655959232585342215624479002362520273227752563013274906130676903364654912798283583150735759621809574452629600501859955026361424317945339583969946402544443946940529399671948171695529114494196595545143395154832021709426891437985970631142492661988721503555404727994302923410958278233827176234103571732912092615969030659132063683618256736630841921311608189590860711822190883212909914150898343229934651157458577171633317325912836616050129909080202465274846201265385772127416597956077106347030114986565776684470502452986458004813579254005196666837487494463324990788631581633486204000024679911217279420269604278124056833168411593829508275931868713663588778268523649096177955103275959463860187819791298258282988401213434912202649468418625813053855327594364262846615302462574947931687768222853583184579669012056741819041280635370397722262589793533650596818491552999161759674335324840796331572241139857962881996920927389184499417281955671730480244755006525510196108545942907410076440508427480191082315502873710580033662475476352167890897012036362720794863101095369837599180786447568480558169489835047978070355613290845302842419597239265733738034645357058751185788626689999999538772897247232291415458441103828163826295034308871668815817564857840303616500020436665049292118726917162219566516766361481309100082344077021343271238351178789152395614468604326100744696325349771512630115020722845123735715543747866928237453697302990256259741566315475808612923618873327118258284647480089075330822678115173683239793375902376391462898239528318604235345371996813155679190984785987128880397134617507913343497262475552554116291769643018338339830160604922572601350411336060440125499443794495181129588491168523169343728352997673945070658794229809853187622274566641607473478688166246138097880746752340154339368626277840497046830879677538564003967286024937871855305854851936013412758928465669623783500221237179756659453328827940367969883023800131432788547081317961867969578166169748926971216204940050780528520913578507464684623138710917043072364954874133480931920606613097212331619893091788688379989959884844690669582802033829490699451579598941342016535193047314365346416675179392459436709966274779036443780609648806592448016051758262431155627461238375518359251174290796458501334014852498722036042035114445672843039474621713828668036375869139641704325081488936873737978893814098088467452792530641531523952174119531405206314857750306570113684151920141955302362175130578490215687747214671139518009502720880131246926097949343877028265239815628054307107537284855593543061458269367542827128860850273587903760111386982726098389270676208996397488386526846346481284772065707265623995538342516347279173082308151286254846207595512494327755390999643661391578298663769762845325373495973004346984831490394080400430818338346234275821288339012283187901934406196225902318131095896385358712218435790274080517056966687326530829938016940203907900775871960557858065311077849563598627934741307855991639891420963333154216700271608447706935496805711871867355935717765927493801833590276823031939826703999169744545018852668433847844866260317506008918169143506596609521730722535993554841288421656545092569331697210393896463200942220565259902597899241010479338393259555724836618882576643936806}
23226  47072995579923857801061285005954878354732158124598369968157510453796028433114: {394553,533669,672713,857993,1067246,1206868,1228169,1366853,1551653,1763428,1920869,2042392,2297691,2519753,2933573,3155608,3209093,3411723,3526552,3550059,3759269,3850853,3967371,3988169,4061575,4268248,4536713,4582373,4801779,4873890,4947038,5129669,5198816,5357369,5750872,5802250,5848668,5916255,6039269,6310672,6325838,6334419,6469731,6492869,6962700,7099506,7313188,7426880,7540975,7701038,7984073,8355240,8389253,8421963,8524169,8713048,8912256,8933155,9049170,9072638,9255603,9332153,9399645,9556133,9652448,9802179,9822808,10003493,10026288,10087215,10092869,10226873,10405433,10556455,10719786,10759696,10859004,11018575,11050659,11073893,11279574,11301592,11340773,11532446,11562953,11760879,12077486,12104658,12405413,12505339,12626633,12667746,12714291,12761650,12893966,13222290,13289093,13729733,13802215,13861769,13934884,14103776,14523038,14740169,14871653,15034468,15080650,15265673,15313980,15396869,15866748,15876638,15917258,16146926,16334912,16469272,16562658,16585855,16681684,16704869,17009033,17356169,17600451,17778388,17864770,18096780,18376776,18527931,18567113,19048408,19170233,19213253,19303232,19421284,19600073,19647859,19717450,19728869,19903026,20104863,20495715,20500133,20673873,20925219,21061588,21098213,21226169,21429459,21437724,21524453,21716136,21862096,22162313,22738940,22857326,22925369,23660940,23685833,24191369,24275513,24401669,24430653,24594858,24695753,24910975,25238336,25450169,25521100,25659269,25666072,26134003,26160293,26575838,26701769,26909669,27034313,27286728,27449273,27500632,28068370,28152869,28276793,28393128,28441913,28638415,28874331,28967128,29477726,29552978,29881253,29893170,30066328,30625320,30697569,30740153,30791006,30798808,30938211,31025669,31107173,31351493,31636169,31758053,31831772,31886048,31942269,32325893,32366393,32484200,32568773,32588019,32667008,32994712,33253255,33360472,33406766,33438639,33456869,33658169,33682044,33824619,33925507,34180613,34366098,34453485,34648659,34781753,34861769,35022255,35141573,35188312,35341193,35478219,35553688,35739833,35859269,35871804,35873383,35938853,35978633,36534713,36544725,36649432,36750384,36772553,37044638,37049669,37119051,37247369,37334290,37357072,37530531,37760453,38109715,38337038,38851059,38981040,39368366,39487013,39586851,39903906,39997899,40006948,40111013,40505091,40655333,40771769,40946691,41230611,41344182,41468873,41579776,41755288,41936606,42026706,42047813,42192638,42218540,42235975,42432773,42448526,43108351,43200293,43470638,43505625,43659269,43773833,43853670,44040869,44117093,44801148,45067193,45365955,45473960,45731658,45761966,46313669,46388933,46406000,46501769,46777248,46974699,47064869,47157055,47211928,47431455,47486308,47504650,47514053,47887493,48073913,48294206,48390352,48465010,48854693,48859203,49003013,49558073,50012732,50295353,50593552,50662248,50662793,50683170,50812046,50841688,51158205,51212453,51247690,51322169,51395273,51734884,51929368,52206750,52315838,52565966,52624404,53113419,53334700,54062048,54221369,54380884,54439146,54442450,54568752,54759269,54789955,55009673,55116869,55295369,55512123,55687200,55758533,56291273,56588466,56917746,56995029,57005580,57196899,57359128,57510355,57527333,57773369,57843593,58158012,58194233,58420539,58579013,58997669,59399680,59511086,59623493,59935433,60002846,60143923,60312200,60472659,60701908,60708802,60805952,60819804,60902625,61060855,61389846,61497228,61519673,61740055,61859715,62032613,62100869,62275684,62543753,62648100,62713733,63019193,63185246,63459269,63841615,63855832,64001640,64133669,64529019,64570313,64645838,64962800,64972169,65330940,65516811,65616686,65656792,65739173,65747946,65872133,65971769,65972355,65983696,66101246,66459748,66733253,66824640,66964169,67096408,67195555,67523333,67621769,67851225,67949369,68027055,68210873,68268416,68406696,68439269,68504453,69012426,69024773,69065428,69316553,69477038,69478373,69510713,69672293,69686336,69717086,70370512,70675838,70925753,71021669,71266611,71279616,71340869,71446760,71818169,71837811,71871038,72001845,72374640,72503125,72546533,72562192,72860215,72952594,73083150,73138219,73273026,73333433,73490213,73709369,73771913,73863891,73865669,74013326,74088066,74177669,74231658,74487806,74551013,74637592,74644169,75177720,75479333,75483459,75633353,76025523,76323028,76400453,76609938,76736393,76801968,76957533,77010533,77101769,77192933,77199616,77955360,78028046,78397128,78482215,78910419,78934168,78966638,79001093,79166826,79210169,79269833,79970023,80136638,80160953,80189568,80377605,80468211,80634666,80692169,80721688,81070046,81303038,81421470,81632466,81775973,81985828,82157650,82212233,82590355,83152384,83165669,83967291,84024869,84025298,84366533,84451769,84574935,84780638,84933413,85011326,85281955,85736112,85809619,85919890,86136171,86225093,86280869,86355836,86402214,86698169,86726860,86849568,86921923,87003750,87113669,87143512,87389669,87432258,87527369,87699780,87997166,88196769,88212869,88267493,88349369,88431173,88514655,88621769,88800939,90052133,90213264,90292793,90506575,90559433,90702232,90719033,90772169,90811899,91037369,91169669,91248953,91413208,91684948,92142473,92429573,92533733,92769038,92804000,92994686,93206884,93310853,93465413,93546432,93940975,94120766,94178658,94208393,94220068,94415632,94604515,94609432,94726228,94964248,94969913,95045669,95297669,95687625,95993650,96098431,96098693,96188043,96247973,96248091,96453126,96496133,96679455,96718793,96747988,96792869,97211273,97235813,97625738,97705764,97724933,98036451,98144846,98154712,98186633,98331833,98589180,99051043,99108426,99268613,99340169,99387833,99771988,99779163,...,7460261308076651363930153098017911532875798825313890049798078315444437373283596945830540614651087303571350540501541646902615713714092771222663144829094260507343595264415019976040498347914054167829556654016321401157868352197667454209450843123924095797990334868632444488311844951444036929199481739781532415012917223653505158019988161255145751019101909318596066548020924021193526110085034785571013478842338770812643205839168578101293687665526595152517177613681983938848878013323436718503543780409841628844519912359196015355046982369197425374726103639432714361678944400752789932539542136476918009375954919603816665920410794099507922257543293671741294893317715092732248032564140337156978955946713738992983082255333107091991454385116437417350740764351155357599368138923953545988698095525427385104946262881967412284386291067733286324819364871226347514844901976736187865757449975988869254924075194863620303697912269301898078658191124896934115659520545172479848665026705753679479687007220368881007795000256231241694987486182947372450229306000037019866825919130404406417186085249752617390744262413897803070495383167402785473644266932654913939195790281729686947387424482601820152368303974202627938719580782991391546394269922953693862421897531652334280374776869503518085112728561920953055596583393884690300475895227737329498742639511502987261194497358361709786944322995381391083776749125922933507595720367132509788265294162818914361115114660762641220286623473254310565870050493713214528251836345518054544081192294651643054756398771179671352720837254234752571967105533419936267954263629395858898600607051968035588126778682940034999999308159345870848437123187661655742245739442551463307503223726347286760455424750030654997573938178090375743329349775149542221963650123516115532014906857526768183728593421702906489151117044488024657268945172531084267685603573315621800392356180545954485384389612349473213712919385428309990677387426971220133612996234017172760524859690063853564587194347359292477906353018057995219733518786477178980693320595701926261870015245893713328831174437654464527507509745240907383858902025617004090660188249165691742771694382736752784754015592529496510917605988191344714779781433411849962411210218032249369207146821120128510231509052939416760745570246319516307846005950929037406807782958782277904020119138392698504435675250331855769634989179993241910551954824535700197149182820621976942801954367249254623390456824307410076170792781370367761197026934708066375564608547432311200221397880909919645818497429839637683032569984939827267036004374203050744236049177369398412013024802789570971548019625012769088689155064949412168554665670914473209888672024077637393646733441191857563277538876761436194687752001022278748083054063052671668509264559211932570743002054563803709462556487622233405310606968340721147132701179188795962297285928261179297107809472286625459855170526227880212932953543262695867735323531620822006709277014254081320196870389146924015815542397859723442081460661305927283390314592187404051314240693291275410381855640167080474089147583906014313494596232579790269519721927158098560898435993307513774520918759623462226929382269311393268741491633086499465492087367447995654644267988060243959506520477247235591120600646227507519351413731932508518424781852901609294338853477196643844578038068327653685411120775585450030989796244907025410305861851163807940836787097966616774345397941902111961783987459837131444999731325050407412671560403245208567807801033903576648891240702750385415234547909740055998754616817528279002650771767299390476259013377253715259894914282596083803990332261932632484817638853997545815590844694801413330847889853896848861515719007589889333587254928323864965905209}
23227  47241172485728591964077354425126513857248054430731828309234741724022072835521: {23227,1508585,1600869,1787093,1810302,2204285,2552990,2645142,2761157,3063588,3085733,3318029,3734717,3920969,3944510,4408190,4548964,4733412,4848173,5032013,5126537,5289828,5335310,5521838,5615126,6402372,6498520,6635486,7188590,7310835,7420557,7623917,7798224,7888340,8371229,8445892,8594957,8626308,8675678,8703375,8773002,9141485,9283600,9414734,9466008,9488757,9888893,10444050,10649259,10891310,10960829,10969782,11140320,11229284,11551557,11883008,12065560,12278510,12340804,12351209,12532860,13069572,13368384,13449620,13573755,13608957,13867022,14126990,14155037,14293048,14410613,14478672,14575817,14734212,14980094,15039432,15681172,16079679,16139544,16288506,16522349,16667357,16890328,16919361,16935077,16952388,17298669,17418605,17629720,18047093,18116229,18156987,18583829,18793085,19001619,19129334,19142475,19340949,19715117,19833435,20418640,20586590,20827133,20852105,20902046,20902326,21155664,21360989,21784557,22083544,22222985,22457813,22551702,22620975,22970970,23467268,23800122,23810510,23814957,23875887,23954678,24063053,24129040,24220389,24276605,24502368,24703908,24843987,24958349,25022526,25346237,26308037,26326985,26359877,26537368,26563373,26667582,26797155,26806484,26948957,27145170,27327620,27565164,27900292,28423675,28572612,28583632,28870373,28954848,29131926,29150537,29190413,29576175,29854539,30789773,30912782,31064933,31109477,31547920,31592382,31901375,31913102,32068253,32082590,32156586,32294798,32469629,32574204,32687438,32793144,34108410,34285989,34375790,35491410,36149366,36208910,36382304,36535877,36892287,37582910,37857504,38023949,38116637,38281650,38498510,38499108,38836949,38966894,39789715,39822893,39857560,39863757,40245677,40605250,40801109,40833760,40930092,41243390,41250948,41310437,41334029,41361974,41700590,42102555,42237206,42341558,42589692,43450692,43985390,44216589,44269358,44329467,44442110,44486477,44584852,44839755,44909392,44943533,45099492,45272669,45438197,45808502,45811790,45821464,45937980,46186509,46198212,46696340,47059337,47304292,47747658,47829072,47838029,48726300,49000512,49331678,49492068,49699214,50008685,50040708,50110149,50189237,50384213,50494973,50523066,51549147,51801412,51819209,51974720,52194110,52715549,52773175,52782468,53205208,53330532,53807706,54006788,54516773,54595588,54974148,55125576,55566957,55694453,55873853,56001435,56035608,56401829,56613533,56842450,57449693,57505557,57735734,57759689,58007500,58471560,58709357,58946537,59014910,59052549,59192453,59357885,59734864,59855859,60010422,60053813,60487940,60975544,61528457,61574198,62016273,62369664,62439017,62515915,62632932,62810102,62904909,63040059,63097229,63241940,63288957,63327810,63491918,63552110,63672789,64505078,64668605,64911710,65145604,65205957,65280029,65307893,65780505,66150533,66600077,66668375,67201722,67549664,67577560,67864862,67976105,68210940,68597487,68642949,69067397,69458693,69609000,70165872,70631477,70817892,70860233,71141582,71229462,71256975,71698910,71974409,72441309,72585528,72697515,72758336,73109093,74016164,74249600,74928269,75019098,75390250,75451288,75518777,75545846,75877385,75890328,75993372,76007440,76024755,76218069,76250573,76262532,76615286,76871535,77544016,77602326,77806766,77844605,77846213,77894052,78010973,78181694,78310125,78321629,78473757,78613886,78848949,78936606,79189853,79364453,79638878,79819790,79986557,80002050,80063069,80630212,80828189,81093072,81203500,81571326,81658719,81663675,81853128,81996304,82070990,82479620,82596137,82613678,82783253,83074685,83093717,83528693,83530800,83870510,84882699,84970493,85335520,85376619,85508370,85604894,85885373,86038692,86130173,86331785,86380709,87107920,87237018,87306089,87355748,87663928,87694046,87963140,87984557,89099520,89266629,89308450,89346062,90004269,90218933,90234158,90468300,90702740,91052862,91063203,91208928,91229706,91421837,91455077,92016568,92084769,92245842,92950829,93085673,93184169,93296990,93413526,93920534,93972150,94405613,94777869,94849853,95022148,95039488,95158133,95403785,95783748,96002460,96082637,96295877,96499520,96968757,97444200,97697368,97747166,97931573,97996410,98425029,98485188,98621919,98667710,98784088,98975544,99151869,99352613,99663758,99689622,99737078,99755678,...,9947015077435535151906870797357215377167731767085186733064104420592583164378129261107387486201449738095134054002055529203487618285457028296884193105459014009791460352553359968053997797218738890439408872021761868210491136263556605612601124165232127730653779824843259317749126601925382572265975653042043220017222964871340210693317548340194334692135879091461422064027898694924701480113379714094684638456451694416857607785558104135058250220702126870022903484909311918465170684431248958004725040546455505126026549812261353806729309825596567166301471519243619148905259201003719910052722848635890679167939892805088887893881058799343896343391058228988393191090286790309664043418853782875971941262284985323977443007110809455988605846821916556467654352468207143465824185231938061318264127367236513473261683842623216379181721423644381766425819828301796686459869302314917154343266634651825673232100259818160404930549692402530771544254833195912154212694060229973131553368941004905972916009627158508010393333674974988926649981577263163266972408000049359822434558840539208556248113666336823187659016551863737427327177556537047298192355910206551918927720375639582596516565976802426869824405298936837251626107710655188728525693230604925149895863375536445707166369159338024113483638082561270740795444525179587067301193636983105998323519348670649681592663144482279715925763993841854778368998834563911343460960489510013051020392217091885814820152881016854960382164631005747421160067324950952704335781794024072725441589726202190739675198361572895136961116338979670095956140711226581690605684839194478531467476069290714117502371577253379999999077545794494464582830916882207656327652590068617743337631635129715680607233000040873330098584237453834324439133033532722962618200164688154042686542476702357578304791228937208652201489392650699543025260230041445690247471431087495733856474907394605980512519483132630951617225847237746654236516569294960178150661645356230347366479586751804752782925796479056637208470690743993626311358381969571974257760794269235015826686994524951105108232583539286036676679660321209845145202700822672120880250998887588990362259176982337046338687456705995347890141317588459619706375244549133283214946957376332492276195761493504680308678737252555680994093661759355077128007934572049875743710611709703872026825517856931339247567000442474359513318906657655880735939766047600262865577094162635923735939156332339497853942432409880101561057041827157014929369246277421834086144729909748266961863841213226194424663239786183577376759979919769689381339165604067658981398903159197882684033070386094628730692833350358784918873419932549558072887561219297613184896032103516524862311254922476751036718502348581592917002668029704997444072084070228891345686078949243427657336072751738279283408650162977873747475957787628196176934905585061283063047904348239062810412629715500613140227368303840283910604724350261156980431375494429342279036019005441760262493852195898687754056530479631256108614215074569711187086122916538735085654257721700547175807520222773965452196778541352417992794976773053692692962569544131414531247991076685032694558346164616302572509692415191024988655510781999287322783156597327539525690650746991946008693969662980788160800861636676692468551642576678024566375803868812392451804636262191792770717424436871580548161034113933374653061659876033880407815801551743921115716130622155699127197255869482615711983279782841926666308433400543216895413870993611423743734711871435531854987603667180553646063879653407998339489090037705336867695689732520635012017836338287013193219043461445071987109682576843313090185138663394420787792926401884441130519805195798482020958676786519111449673237765153287873612}
23228  47409946292042841675267140345413622425663164239978630516536618226819228659404: {440971,719107,789106,1067338,1345426,1413187,1715986,2134492,2243707,2413736,2456338,2715453,2733706,3103306,3526856,3622147,3829485,3841738,3967713,4084784,4582771,4595382,4856587,5039506,5686205,5867146,5916765,6311216,6418186,6612285,6823446,7036747,7053104,7100118,7518538,7701706,7934742,7976338,8002965,8123150,8282757,8389987,8422689,8536496,9073426,9164746,9601747,9603558,9747780,9860425,9894076,9953229,10259338,10397632,10557365,10714738,10782885,11074867,11501744,11604500,11697336,11832510,12078538,12506417,12621344,12651676,12668838,12939462,12985738,13013517,13069627,13159503,13730947,13925400,14036605,14122101,14199012,14626376,14779037,14853760,14916787,15081950,15402076,15426005,15666075,15968146,16336965,16358227,16454673,16710480,16778506,16812025,16843926,17048338,17426096,17661067,17824512,17866310,18098340,18145276,18417765,18511206,18664306,18799290,19112266,19214971,19304896,19323101,19601465,19604358,19645616,20006986,20052576,20174430,20185738,20453746,20800533,20810866,20886667,21112910,21190485,21439572,21519392,21718008,22037150,22101318,22147786,22470141,22559148,22603184,22681546,23054371,23064892,23125906,23220197,23521758,23687971,24154972,24209316,24432759,24697987,24810826,25010678,25253266,25335492,25428582,25523300,25787932,26444580,26454427,26578186,27078307,27202867,27459466,27604430,27723538,27869768,28207552,28320667,28694001,29046076,29334085,29480338,29743306,30068936,30161300,30531346,30627960,30793738,30879885,31150771,31353069,31353489,31733496,31753276,31834516,32004547,32293852,32369371,32669824,32938544,33125316,33171710,33363368,33409738,33508105,33827553,33942787,34018066,34159525,34183771,34456455,34712338,34875365,35144827,35200902,35556776,35700183,35715765,35729540,35932017,35981971,36193560,36577771,36753552,37055862,37134226,37408867,37527307,37533789,38096816,38340466,38426506,38606464,38842568,39177907,39200146,39295718,39434900,39457738,39806052,40001373,40093781,40209726,40717755,40991430,41000266,41347746,41511427,41850438,42123176,42196426,42452338,42782587,42858918,42875448,43048906,43432272,43697889,43724192,44159371,44324626,45477880,45525787,45714652,45850738,46369173,46554557,47321880,47371666,47388573,47555971,47699773,47780107,47869653,48123885,48234879,48382738,48442197,48551026,48803338,48861306,48896467,49031157,49189716,49391506,49451947,49821950,50476672,50900338,50946233,51042200,51162615,51318538,51332144,51563685,52202347,52268006,52320586,53151676,53237115,53353601,53403538,53819338,53938987,54068626,54224049,54313365,54573456,54898546,55001264,55015027,55550347,55731065,55763971,56136740,56296771,56305738,56374365,56553586,56786256,56883826,57145507,57276830,57422475,57747765,57748662,57934256,58370425,58450341,58724467,58955452,59105956,59130365,59762506,59786340,60132656,60907875,61250640,61395138,61480306,61582012,61597616,61833787,61865085,61876422,62038771,62042961,62051338,62214346,62550885,62702986,62753947,63272338,63355809,63512337,63516106,63663544,63769507,63772096,63884538,64375387,64651786,64732786,64751765,64968400,65137546,65176038,65334016,65779027,65978085,65989424,66019877,66404037,66506510,66663165,66720944,66772987,66813532,66877278,66913738,67316338,67364088,67508485,67649238,67851014,68244485,68361226,68543971,68712753,68717685,68732196,68906970,69226387,69297318,69517771,69563506,69711667,69723538,69808507,70044510,70283146,70376624,70682386,70956438,71107376,71156707,71479666,71621487,71718538,71743608,71746766,71877706,71957266,72206107,72509375,72680227,72869371,73069426,73089450,73298864,73500768,73545106,73997517,74089276,74099338,74238102,74494738,74548821,74558707,74668580,74714144,75061062,75520906,75609925,75671971,75784599,76219430,76674076,76705937,77231347,77702118,77962080,78291165,78736732,78974026,79052425,79173702,79307971,79576027,79807812,79995798,80013896,80198971,80222026,80514497,80711559,81010182,81310666,81432005,81543538,81893382,82461222,82688364,82937746,83159552,83433067,83510576,83873212,84053412,84095626,84385276,84437080,84471950,84865546,84897052,84970771,85224787,85263675,85485197,85562467,86216702,86400586,86436077,86603601,86941276,87011250,87318538,87547666,87707340,88081738,88234186,88304371,88468027,88522365,88875907,89281987,89378261,89602296,90015633,90134386,90731910,90947920,91126771,91285387,91463316,91523932,91916971,92361297,92465827,92520205,92543947,92627338,92777866,92812000,93003538,93321187,93475771,93554496,93949398,94073777,94129738,94215153,94314110,94423856,94862910,94972616,94991715,95009300,95028106,95237877,95328165,95609707,95774986,96147826,96588412,96729667,96757617,96780704,96930020,97246771,97367565,97709386,97718406,97760347,98006026,98342971,99116146,99279907,99422971,99779371,...,14920522616153302727860306196035823065751597650627780099596156630888874746567193891661081229302174607142701081003083293805231427428185542445326289658188521014687190528830039952080996695828108335659113308032642802315736704395334908418901686247848191595980669737264888976623689902888073858398963479563064830025834447307010316039976322510291502038203818637192133096041848042387052220170069571142026957684677541625286411678337156202587375331053190305034355227363967877697756026646873437007087560819683257689039824718392030710093964738394850749452207278865428723357888801505579865079084272953836018751909839207633331840821588199015844515086587343482589786635430185464496065128280674313957911893427477985966164510666214183982908770232874834701481528702310715198736277847907091977396191050854770209892525763934824568772582135466572649638729742452695029689803953472375731514899951977738509848150389727240607395824538603796157316382249793868231319041090344959697330053411507358959374014440737762015590000512462483389974972365894744900458612000074039733651838260808812834372170499505234781488524827795606140990766334805570947288533865309827878391580563459373894774848965203640304736607948405255877439161565982783092788539845907387724843795063304668560749553739007036170225457123841906111193166787769380600951790455474658997485279023005974522388994716723419573888645990762782167553498251845867015191440734265019576530588325637828722230229321525282440573246946508621131740100987426429056503672691036109088162384589303286109512797542359342705441674508469505143934211066839872535908527258791717797201214103936071176253557365880069999998616318691741696874246375323311484491478885102926615006447452694573520910849500061309995147876356180751486658699550299084443927300247032231064029813715053536367457186843405812978302234088976049314537890345062168535371207146631243600784712361091908970768779224698946427425838770856619981354774853942440267225992468034345521049719380127707129174388694718584955812706036115990439467037572954357961386641191403852523740030491787426657662348875308929055015019490481814767717804051234008181320376498331383485543388765473505569508031185058993021835211976382689429559562866823699924822420436064498738414293642240257020463018105878833521491140492639032615692011901858074813615565917564555808040238276785397008871350500663711539269978359986483821103909649071400394298365641243953885603908734498509246780913648614820152341585562740735522394053869416132751129217094864622400442795761819839291636994859679275366065139969879654534072008748406101488472098354738796824026049605579141943096039250025538177378310129898824337109331341828946419777344048155274787293466882383715126555077753522872389375504002044557496166108126105343337018529118423865141486004109127607418925112975244466810621213936681442294265402358377591924594571856522358594215618944573250919710341052455760425865907086525391735470647063241644013418554028508162640393740778293848031631084795719446884162921322611854566780629184374808102628481386582550820763711280334160948178295167812028626989192465159580539039443854316197121796871986615027549041837519246924453858764538622786537482983266172998930984174734895991309288535976120487919013040954494471182241201292455015038702827463865017036849563705803218588677706954393287689156076136655307370822241551170900061979592489814050820611723702327615881673574195933233548690795883804223923567974919674262889999462650100814825343120806490417135615602067807153297782481405500770830469095819480111997509233635056558005301543534598780952518026754507430519789828565192167607980664523865264969635277707995091631181689389602826661695779707793697723031438015179778667174509856647729931810418}
23229  47579319103497827448375387535932768651517783562782995656358585160108831059729: {46454,1183659,1601007,2018139,2112019,2573979,2668115,3017170,3085999,3201738,3574186,3620604,3684507,3921307,4100559,4338587,4408570,4654959,5105980,5290284,5522314,5729659,5762607,6127176,6171466,6636058,6893073,7397291,7469434,7559259,7841938,7889020,8800719,8816380,9066899,9097928,9466824,9627279,9696346,10064026,10235169,10253074,10579656,10650177,10670620,11043676,11230252,11277807,11552559,11902113,11964507,12184725,12367595,12798079,12804744,12953707,12997040,13270972,13610139,13747119,14377180,14405337,14505625,14621670,14841114,15030191,15247834,15389007,15596448,15776680,15814595,16072107,16290619,16742458,16891784,17189914,17252616,17351356,17406750,17546004,17748765,18117807,18282970,18567200,18829468,18927439,18932016,18977514,19003257,19252595,19409193,19478607,19777786,20866259,20888100,21298518,21782620,21921658,21939564,21962707,22263487,22280640,22458568,22622925,22681595,23103114,23766016,23952219,24131120,24386047,24557020,24681608,24702418,25034879,25065720,25167759,25265889,25572507,25682987,26139144,26310319,26736768,26799465,26899240,27147510,27217914,27536051,27734044,27766809,27996459,28198935,28253980,28310074,28586096,28668399,28821226,28831115,28957344,29151634,29192947,29406537,29461039,29468424,29960188,30010479,30078864,30193715,30261645,30278607,30680619,31112179,31216299,31362344,31669365,31904125,32159358,32234915,32279088,32577012,33044698,33055725,33151977,33221679,33268367,33334714,33780656,33838722,33870154,33904776,33987247,34022319,34597338,34688859,34719631,34783067,34837210,35259440,35282637,36094186,36232458,36307595,36313974,36857779,37167658,37216239,37516017,37586170,37701625,37879899,38003238,38142873,38258668,38284950,38681898,39430234,39666870,39691595,39793145,39867279,40367315,40837280,41173180,41189199,41406645,41585307,41654266,41704210,41804092,41804652,42311328,42721978,42791407,43569114,44167088,44220507,44373179,44445970,44614959,44661925,44915626,45103404,45241950,45363791,45797019,45941940,46190607,46934536,47063419,47320499,47600244,47621020,47629914,47751774,47909356,48043087,48126106,48258080,48379727,48440778,48553210,48849307,49004736,49293625,49407816,49687974,49757565,49886507,49916698,50045052,50114607,50692474,51027099,51401387,52068507,52206667,52616074,52653970,52719754,52801353,53074736,53126746,53335164,53594310,53612968,53897914,54290340,54655240,55130328,55583793,55642619,55701339,55705601,55800584,56846639,56847350,57143315,57145224,57167264,57510699,57639759,57740746,57909696,58263852,58301074,58380826,58418579,58800219,58943577,59152350,59186607,59544979,59709078,60314589,60930511,61487145,61500399,61579546,61825564,62021619,62129866,62218954,62775657,63095840,63184764,63294639,63678507,63802750,63826204,64136506,64165180,64288377,64313172,64573359,64589596,64910747,64939258,65148408,65374876,65586288,66156271,66439595,66486939,66656707,67293587,67656971,67757699,68216820,68571978,68751580,68767099,68776107,70012159,70170925,70898267,70982820,71057499,72286859,72298732,72417820,72574107,72764608,72826539,73071754,73205007,73291959,73694315,73784574,73882445,74087259,74732925,74749187,75165820,75656099,75715008,76047898,76233274,76350507,76563300,76977515,76977807,76997020,76998216,77673898,77933788,78364847,78402009,78480879,79016339,79196731,79579430,79645786,79715120,79727514,79855787,80105307,80491354,80729007,81102939,81210500,81602218,81667520,81860184,82347819,82486780,82501896,82620874,82668058,82723948,83101039,83401180,83516915,84205110,84288251,84403339,84458607,84474412,84683116,84830379,85179384,85325739,85915245,86622993,86901384,87004591,87298607,87522281,87970780,88433178,88492799,88538716,88658934,88884220,88972954,89169704,89643759,89679510,89818784,89887066,90109199,90198984,90270191,90536047,90545338,90830527,90876394,91617004,91623580,91629299,91642928,91875960,92092707,92220459,92373018,92396424,92611595,92814633,93077007,93321519,93335725,93339299,93392680,94054479,94118674,94608584,94802159,94908507,95166547,95274159,95495316,95603267,95658144,95676058,95826807,95842595,96761711,96977679,97099179,97452600,97706319,97764057,97974587,98001024,98420915,98663356,98984136,99361231,99398428,99759765,...,22380783924229954091790459294053734598627396475941670149394234946333312119850790837491621843953261910714051621504624940707847141142278313667989434487282781522030785793245059928121495043742162503488669962048964203473605056593002362628352529371772287393971004605897333464935534854332110787598445219344597245038751670960515474059964483765437253057305727955788199644062772063580578330255104356713040436527016312437929617517505734303881062996579785457551532841045951816546634039970310155510631341229524886533559737077588046065140947107592276124178310918298143085036833202258369797618626409430754028127864758811449997761232382298523766772629881015223884679953145278196744097692421011470936867840141216978949246765999321275974363155349312252052222293053466072798104416771860637966094286576282155314838788645902236853158873203199858974458094613679042544534705930208563597272349927966607764772225584590860911093736807905694235974573374690802346978561635517439545995080117261038439061021661106643023385000768693725084962458548842117350687918000111059600477757391213219251558255749257852172232787241693409211486149502208356420932800797964741817587370845189060842162273447805460457104911922607883816158742348974174639182809768861081587265692594957002841124330608510554255338185685762859166789750181654070901427685683211988496227918534508961783583492075085129360832968986144173251330247377768800522787161101397529364795882488456743083345343982287923660859870419762931697610151481139643584755509036554163632243576883954929164269196313539014058162511762704257715901316600259808803862790888187576695801821155904106764380336048820104999997924478037612545311369562984967226737218327654389922509671179041860281366274250091964992721814534271127229988049325448626665890950370548346596044720572580304551185780265108719467453351133464073971806835517593252803056810719946865401177068541637863456153168837048419641138758156284929972032162280913660400838988702051518281574579070191560693761583042077877433719059054173985659200556359431536942079961787105778785610045737681139986493523312963393582522529235722722151576706076851012271980564747497075228315083148210258354262046777588489532752817964574034144339344300235549887233630654096748107621440463360385530694527158818250282236710738958548923538017852787112220423348876346833712060357415178095513307025750995567308904967539979725731655864473607100591447548461865930828405863101747763870171370472922230228512378344111103283591080804124199126693825642296933600664193642729758937455492289518913049097709954819481801108013122609152232708147532108195236039074408368712914644058875038307266067465194848236505663997012743419629666016072232912180940200323575572689832616630284308584063256003066836244249162189158015005527793677635797712229006163691411128387669462866700215931820905022163441398103537566387886891857784783537891323428416859876379565511578683640638798860629788087603205970594862466020127831042762243960590611167440772047446627193579170326244381983917781850170943776562212153942722079873826231145566920501241422267442751718042940483788697739370808559165781474295682695307979922541323562756278870386680788146807934179806224474899259498396476262102343986963932803964180731878519561431741706773361801938682522558054241195797525555274345558704827883016560431589931533734114204982961056233362326756350092969388734721076230917585553491423822510361293899850323036193825706335885351962379511394334999193975151222238014681209735625703423403101710729946673722108251156245703643729220167996263850452584837007952315301898171428777040131761145779684742847788251411970996785797897454452916561992637446772534084404239992543669561690546584547157022769668000761764784971594897715627}
23230  47749293032096781802805507284352884587759004039854891267144495226340073983144: {69681,672829,881942,950749,1438214,1578212,1644289,2134676,2612221,2690852,2826374,3025969,3431972,3439069,3851521,3988861,4268984,4400449,4487414,4525755,4802607,4827472,4912676,5221681,5361279,5430906,5467412,5904061,6176509,6206612,6382475,6612855,6720541,7053712,7244294,7658970,7683476,7935426,7960687,8075581,8169568,8210689,8283471,9165542,9190764,9257199,9557809,9713174,9861275,9954087,10079012,10094641,10496509,10897729,11020475,11164849,11204151,11372410,11431681,11564989,11734292,11762907,11831389,11833530,12622432,12836372,13224570,13291441,13338275,13423741,13646892,13804595,13952221,14037815,14073494,14106208,14200236,14544519,14780311,14874289,15037076,15096039,15379611,15403412,15869484,15952676,16005930,16185409,16246300,16565514,16588715,16779974,16845378,17072992,17098909,17879101,17971475,18146852,18329492,18397789,18786049,19203494,19207116,19302721,19495560,19651247,19689469,19720850,19788152,19818241,19906458,20518676,20795264,21102001,21114730,21229981,21429476,21565770,21596407,21613489,21689195,21868801,21932505,22149734,22261671,22871751,23003488,23209000,23394672,23536835,23665020,24157076,24279901,25012834,25113687,25242688,25303352,25337676,25412929,25663921,25784871,25878924,25971476,26027034,26110125,26139254,26290141,26319006,26789821,27228275,27424455,27442051,27461894,27850800,28073210,28244202,28398024,28466271,28529629,28900609,29252752,29558074,29666679,29707520,29833574,29886721,30163900,30696275,30745789,30804152,30852010,30875207,31112881,31332150,31936292,31947777,32453341,32673930,32716454,32882487,32909346,33420960,33557012,33624050,33687852,34096676,34267201,34654671,34667555,34852192,34868221,34988209,35317475,35322134,35649024,35732620,35945521,36196680,36290552,36779389,36835530,37022412,37053627,37328612,37450235,37598580,38224532,38429942,38609792,38646202,38789809,39024961,39202930,39208716,39291232,39494401,40013972,40105152,40313149,40348860,40371476,40662961,40721265,40779421,40826871,40907492,41067719,41601066,41621732,41773334,42225820,42380970,42465111,42517681,42879144,43038784,43208449,43231839,43436016,43727451,44011069,44074300,44125441,44202636,44295572,44924029,44940282,45118296,45151549,45206368,45363092,46108742,46129784,46251812,46397761,46440394,46510621,46911347,47043516,47375942,47523121,47823335,48239037,48306589,48309944,48418632,48752701,48825511,48865518,49086529,49197661,49395974,49567047,49621652,49641469,50002071,50021356,50415361,50506532,50670984,50745949,50758083,50805231,50857164,51046600,51075889,51405181,51466475,51575864,51896007,52255115,52255815,52715869,52889160,52908854,53156372,53311511,53475649,54141279,54156614,54348687,54405734,54470961,54918932,55199041,55208860,55447076,55739536,55751487,56372459,56373181,56379255,56415104,56641334,57004857,57009949,57388002,57427425,57538609,57854941,58022847,58092152,58275709,58668170,58904701,58960676,59009281,59145351,59486612,59500305,59526275,59886695,60137872,60154909,60322600,60672769,60879409,61062692,61255920,61587476,61759770,62113201,62301542,62481399,62556315,62706138,62706978,63466992,63506552,63539521,63669032,64009094,64082967,64247389,64587704,64738742,64951729,65052061,65339648,65353671,65877088,66250632,66343420,66668955,66726736,66819476,67016210,67241149,67373439,67655106,67862925,67885574,68036132,68319050,68367542,68518321,68908849,68912910,69424676,69589501,69750730,70289654,70401804,71113552,71400366,71431530,71444871,71459080,71610289,71627661,71801089,71864034,71896381,71963942,72189159,72387120,72661167,72829815,73155542,73222909,73317121,73507104,73787101,73880881,74111724,74268452,74531961,74628529,74817734,74875047,75054614,75067578,75556609,75833629,76038711,76193632,76680932,76853012,77209009,77212928,77281955,77663869,77685136,78023491,78026461,78297649,78355814,78400292,78591436,78869800,78915476,78924111,78980955,79079631,79286461,79612104,79690119,79782755,80002746,80177821,80187562,80206475,80355229,80391465,80419452,80736995,80846871,80973889,81150001,81435510,81718595,81982860,82000532,82695492,82722049,82782511,83022854,83671261,83700876,84014269,84246352,84392852,84526621,84904676,85271025,85565174,85717836,85750896,85939475,86097812,86215741,86299441,86611119,86864544,86966449,87395778,87448384,87451611,87571239,88286641,88318742,88649252,88695421,88728525,89507581,89563617,89669149,90071809,90373415,90392641,90522275,90652471,90792061,90955760,91051574,91429304,91664449,91701476,92215069,92293441,92369319,92449969,92738346,93109114,93150781,93194799,93328431,93383089,93614749,93957275,94511879,94643760,94687261,94743332,94777146,95111942,95142589,95399546,95542279,95560214,95704125,95739306,96194941,96204759,96246275,96247770,96469758,96765476,96789949,96884394,97102052,97306801,97408887,97417235,97527229,97606676,97722612,97792934,98062314,98379432,98402461,98783012,98903894,99338929,99410461,99643900,...,29841045232306605455720612392071646131503195301255560199192313261777749493134387783322162458604349214285402162006166587610462854856371084890652579316377042029374381057660079904161993391656216671318226616065285604631473408790669816837803372495696383191961339474529777953247379805776147716797926959126129660051668894614020632079952645020583004076407637274384266192083696084774104440340139142284053915369355083250572823356674312405174750662106380610068710454727935755395512053293746874014175121639366515378079649436784061420187929476789701498904414557730857446715777603011159730158168545907672037503819678415266663681643176398031689030173174686965179573270860370928992130256561348627915823786854955971932329021332428367965817540465749669402963057404621430397472555695814183954792382101709540419785051527869649137545164270933145299277459484905390059379607906944751463029799903955477019696300779454481214791649077207592314632764499587736462638082180689919394660106823014717918748028881475524031180001024924966779949944731789489800917224000148079467303676521617625668744340999010469562977049655591212281981532669611141894577067730619655756783161126918747789549697930407280609473215896810511754878323131965566185577079691814775449687590126609337121499107478014072340450914247683812222386333575538761201903580910949317994970558046011949044777989433446839147777291981525564335106996503691734030382881468530039153061176651275657444460458643050564881146493893017242263480201974852858113007345382072218176324769178606572219025595084718685410883349016939010287868422133679745071817054517583435594402428207872142352507114731760139999997232637383483393748492750646622968982957770205853230012894905389147041821699000122619990295752712361502973317399100598168887854600494064462128059627430107072734914373686811625956604468177952098629075780690124337070742414293262487201569424722183817941537558449397892854851677541713239962709549707884880534451984936068691042099438760255414258348777389437169911625412072231980878934075145908715922773282382807705047480060983574853315324697750617858110030038980963629535435608102468016362640752996662766971086777530947011139016062370117986043670423952765378859119125733647399849644840872128997476828587284480514040926036211757667042982280985278065231384023803716149627231131835129111616080476553570794017742701001327423078539956719972967642207819298142800788596731282487907771207817468997018493561827297229640304683171125481471044788107738832265502258434189729244800885591523639678583273989719358550732130279939759309068144017496812202976944196709477593648052099211158283886192078500051076354756620259797648674218662683657892839554688096310549574586933764767430253110155507045744778751008004089114992332216252210686674037058236847730282972008218255214837850225950488933621242427873362884588530804716755183849189143713044717188431237889146501839420682104911520851731814173050783470941294126483288026837108057016325280787481556587696063262169591438893768325842645223709133561258368749616205256962773165101641527422560668321896356590335624057253978384930319161078078887708632394243593743973230055098083675038493848907717529077245573074965966532345997861968349469791982618577071952240975838026081908988942364482402584910030077405654927730034073699127411606437177355413908786575378312152273310614741644483102341800123959184979628101641223447404655231763347148391866467097381591767608447847135949839348525779998925300201629650686241612980834271231204135614306595564962811001541660938191638960223995018467270113116010603087069197561905036053509014861039579657130384335215961329047730529939270555415990183262363378779205653323391559415587395446062876030359557334349019713295459863620836}
23231  47919870197240601759568797636604866134674954612643254514094231020931037794556: {92908,1322913,1972765,2157321,2367318,2668345,2808289,3202014,3363565,3735361,4036278,4224038,4239561,4289965,4338961,4849009,5127421,5147958,5336230,5868841,6034340,6140845,6171998,6403476,6703933,6731121,6834265,7148372,7241208,7369014,7758265,7842614,7907449,8146359,8201118,8677174,8742253,8817140,9309918,9604345,10133593,10211960,10580568,10866441,11044628,11459318,11488455,11525214,11903139,11980441,12254352,12342932,12598765,13272116,13506361,13748313,13786146,14569761,14667865,14794582,14938868,15118518,15539689,15683876,15778040,16045465,16151581,17058615,17314633,17601438,17632760,17750295,17762953,18133798,18195856,18510433,18796345,18933648,19254265,19254558,19392692,19488493,19836855,19940845,20128052,20307875,20470338,20506148,21110241,21159312,21300354,21341240,21846481,22087352,22140433,22460504,22555614,22645249,22683565,22911865,23105118,23321113,23804226,23929014,24008895,24369450,24735190,24848271,25169961,25268067,25596158,25609488,25648345,25907414,25994080,26191561,26541944,26786845,26953633,27220278,27494238,27933601,28754360,28805241,28810674,28879273,29011250,29243340,29435089,29581275,29682228,29859687,30060382,30196345,30352621,30495668,30778014,31192896,31553360,31629190,31672095,31754233,32144214,32348655,32464345,32581238,32637841,33224601,33484916,33783568,34379828,34505232,34702712,34813500,35092008,35290849,35497530,36235614,36565940,37134400,37519251,37658936,37704875,37813369,37854878,37864032,37955028,38006514,38119933,38505190,38818386,38957214,39040551,39208881,39317161,39478509,39555572,39597673,39829801,39920365,40363561,41107261,41192841,41341201,41732518,41776200,41946265,42109815,42271201,42348361,42366303,42597036,42620845,43565240,43843316,43879128,43925414,44337111,44526974,44561280,44596561,44665775,44750361,44917136,45128881,45245850,45363190,45367729,45870649,46206228,46278015,46660765,46998225,47532032,47626729,47780665,47904438,48262240,48383929,48772094,48886321,49010895,49074681,49114040,49363216,49364019,49404836,49593553,49844833,50017465,50069758,50131440,50335518,50392969,50436075,50464345,50531778,50830633,51134365,51145014,51365974,52027165,52278288,52620638,52782275,52983201,53473536,53598930,53611753,53798480,54295020,54435828,55072102,55092875,55253295,55369465,55468088,55533618,55568233,55710403,55953889,55992918,56397870,56507960,56514241,56620148,56703865,57172192,57176041,57336798,57413521,57448609,57619321,57642452,57644913,57662230,57814765,57909193,57914688,57969303,58303268,58385894,58804395,58813074,58922078,58936848,58956781,59202721,59480041,59920376,60020958,60157728,60387430,60523290,60557214,61361238,61539133,62027065,62224358,62401599,62432598,62526695,62660001,62724688,63133165,63338730,63571455,63808250,64318716,64469830,64558176,64916401,65154024,65291353,66089396,66111450,66303954,66443358,66445465,66536734,66669428,67410423,67419601,67561312,67677444,67740308,67763581,67809552,67974494,68044638,68648665,68996713,69011075,69163113,69189181,69194676,69308845,69377718,69439262,69566134,69660591,69674420,69907321,70518880,70565274,70576201,71063913,71402881,72188372,72322969,72464916,72615190,72627948,72696721,72795433,73298277,73700845,73715558,74093961,74335316,74358265,74432478,74737261,75032034,75172340,75403250,75531901,75729193,75759798,76006476,76285746,76328365,76517336,76569900,76712701,76984345,77083933,77363796,78860468,78868801,79023193,79333740,79363281,79383190,79586290,79734558,80000641,80076961,80734630,80873761,81234921,81608601,81674560,82346360,82378398,82511761,82813290,82929275,83170614,83308532,83408420,83524345,83543209,83608184,83609304,83788861,84622656,84962001,85045165,85443956,85582814,86082003,86780845,87138228,87646729,87801769,88002255,88334176,88399873,88441014,88500481,88746358,88891940,89229918,89323850,89831252,90206808,90278089,90483900,90727582,91401433,91594038,91883880,92257561,92381214,92613001,92639655,92835565,92966953,93015433,93452313,93869072,94059207,94060467,94120381,94126838,94375021,94640998,94810393,95200488,95242040,95259828,95503548,95818712,95851165,95861401,96013641,96066265,96086174,96252212,96501661,96516160,96715513,96759454,96881556,97106420,97108113,97496401,97698614,97948561,97983121,98000365,98009472,98239295,98587250,98644345,98815632,99375948,99487393,99515130,99612013,99773014,99833396,...,44761567848459908183580918588107469197254792951883340298788469892666624239701581674983243687906523821428103243009249881415694282284556627335978868974565563044061571586490119856242990087484325006977339924097928406947210113186004725256705058743544574787942009211794666929871069708664221575196890438689194490077503341921030948119928967530874506114611455911576399288125544127161156660510208713426080873054032624875859235035011468607762125993159570915103065682091903633093268079940620311021262682459049773067119474155176092130281894215184552248356621836596286170073666404516739595237252818861508056255729517622899995522464764597047533545259762030447769359906290556393488195384842022941873735680282433957898493531998642551948726310698624504104444586106932145596208833543721275932188573152564310629677577291804473706317746406399717948916189227358085089069411860417127194544699855933215529544451169181721822187473615811388471949146749381604693957123271034879091990160234522076878122043322213286046770001537387450169924917097684234701375836000222119200955514782426438503116511498515704344465574483386818422972299004416712841865601595929483635174741690378121684324546895610920914209823845215767632317484697948349278365619537722163174531385189914005682248661217021108510676371371525718333579500363308141802855371366423976992455837069017923567166984150170258721665937972288346502660494755537601045574322202795058729591764976913486166690687964575847321719740839525863395220302962279287169511018073108327264487153767909858328538392627078028116325023525408515431802633200519617607725581776375153391603642311808213528760672097640209999995848956075225090622739125969934453474436655308779845019342358083720562732548500183929985443629068542254459976098650897253331781900741096693192089441145160609102371560530217438934906702266928147943613671035186505606113621439893730802354137083275726912306337674096839282277516312569859944064324561827320801677977404103036563149158140383121387523166084155754867438118108347971318401112718863073884159923574211557571220091475362279972987046625926787165045058471445444303153412153702024543961129494994150456630166296420516708524093555176979065505635929148068288678688600471099774467261308193496215242880926720771061389054317636500564473421477917097847076035705574224440846697752693667424120714830356191026614051501991134617809935079959451463311728947214201182895096923731861656811726203495527740342740945844460457024756688222206567182161608248398253387651284593867201328387285459517874910984579037826098195419909638963602216026245218304465416295064216390472078148816737425829288117750076614532134930389696473011327994025486839259332032144465824361880400647151145379665233260568617168126512006133672488498324378316030011055587355271595424458012327382822256775338925733400431863641810044326882796207075132775773783715569567075782646856833719752759131023157367281277597721259576175206411941189724932040255662085524487921181222334881544094893254387158340652488763967835563700341887553124424307885444159747652462291133841002482844534885503436085880967577395478741617118331562948591365390615959845082647125512557740773361576293615868359612448949798518996792952524204687973927865607928361463757039122863483413546723603877365045116108482391595051110548691117409655766033120863179863067468228409965922112466724653512700185938777469442152461835171106982847645020722587799700646072387651412671770703924759022788669998387950302444476029362419471251406846806203421459893347444216502312491407287458440335992527700905169674015904630603796342857554080263522291559369485695576502823941993571595794908905833123985274893545068168808479985087339123381093169094314045539336001523529569943189795431254}
23232  48091052725753590012907256978762431176711768489315291173600633761269680534402: {116135,139362,533807,672887,719231,997127,1345658,1367207,1690607,1763884,1901498,2059727,2336231,2876428,3156424,3288578,3485231,3550977,3989207,4126487,4269352,4400831,4446527,4803021,4857431,5224442,5267687,5381704,5495327,5652748,6051938,6054417,6177047,6222431,6336057,6863944,6878138,7128431,7542925,7580231,7703042,7721937,7977722,8004345,8526407,8537968,8661287,8800898,8935465,8974828,9051510,9257997,9603431,9605214,9654944,9825352,10229567,10443362,10542047,10722558,10861812,10934824,11021425,11053521,11165831,11763921,11808122,11876807,12275831,12301677,12353018,12413224,12762647,12764950,13015761,13225710,13424927,13441082,13805785,13865447,13964877,13997447,14107424,14488588,14875607,14919431,15317940,15366952,15400967,15428665,15575831,15794231,15870852,15921374,16151162,16339136,16421378,16566942,16590145,16883231,17188977,17287821,18331084,18381528,18442607,18514398,18673585,19115618,19304447,19326433,19426348,19604845,19652941,19722550,19734167,19908174,20158024,20189282,20679219,20719487,20975831,20993018,21231887,21795458,22040950,22191873,22329698,22408302,22677777,22744820,22863362,23058527,23129978,23224201,23468584,23523431,23525814,23662778,23667060,24240865,24408287,24534407,24828407,25160065,25244864,25457087,25632685,25672744,26042231,26292527,26402157,26449140,26459231,26582882,26676550,26847482,27041687,27200697,27293784,27609190,27904442,28075630,28146988,28212416,28284527,28400472,28573487,28881837,28944431,29089038,29560622,29748578,29766431,30012407,30074152,30176231,30192078,30364873,30705507,30759222,30806824,31156487,31237967,31738968,31766807,31905352,31950531,32011860,32213231,32370818,32456327,32492600,32951569,33131028,33177430,33224231,33559948,33586967,33690756,33788207,33833421,34029431,34145984,34197818,34270367,34657677,34991447,35031431,35706339,35758202,35869247,35893521,35942950,35988647,36293704,36488881,36554175,36658984,36782807,36795578,37102785,37257767,37415831,37572098,38119585,38394237,38406988,38414232,38605442,38861121,38991120,39185231,39302494,39378938,39441700,39576304,39636482,39812916,40783247,40830417,41037352,41241357,41480567,41590528,41856145,42204002,42229460,42459962,42675431,42858952,42974785,43131540,43192814,43212527,43216011,43226978,43378390,43480487,43516875,43671647,43737602,43786247,43865010,44053367,44167727,44299468,44523342,44586431,44966231,45090573,45193727,45707425,45743502,46006976,46167021,46418000,46515047,46665431,46789344,47073670,47228231,47330040,47443785,47565047,47639807,48013127,48216321,48314152,48348431,48534577,48559802,48757367,48871857,49444465,49683167,50025668,50227374,50420207,50485376,50606704,50675352,50825858,51080807,51327842,51337007,51569742,51757848,51942952,52054068,52220250,52278508,52430329,52539527,52580282,52638012,52757231,53246295,53480831,53516927,53579642,54021431,54237167,54353421,54456550,54804145,54848910,54884102,54923788,55132967,55240127,55418567,55632431,55701600,56146420,56307767,56378687,56488404,56782317,56796048,56932542,57009771,57015527,57050831,57059258,57227231,57757785,57790367,57801218,57965927,58227579,58435821,58505504,58596287,59116148,59119607,59333358,59415040,59667148,59773442,60057047,60195431,60327800,60678767,60713231,61392550,61491578,61537967,61608304,61704020,61750414,61756045,62119367,62221727,62225762,62562407,62598777,62664300,62732447,63004513,63579647,63782231,63872584,63895554,64152887,64253807,64455431,64906682,64991687,65092007,65292431,65347860,65432908,65764974,65818692,65888121,65991647,66091247,66488927,66621997,66790461,66841920,66951431,66952669,67114024,67247927,67248100,67280831,67375704,67642247,67868775,68044785,68193352,68534402,68557847,69309342,69335110,69596567,69704384,69736442,69976418,70209431,70634950,70644268,70775185,71043407,71298048,71465240,71840207,71856657,71891042,72053065,72125831,72284231,72393360,72581104,72879085,73157161,73158141,73230431,73356047,73558778,73671060,73888487,74044824,74107254,74636231,74657224,74667287,74900470,75104637,75197160,75503277,75749207,75797667,75872231,76056527,76449064,76717521,76859884,76943231,77048961,77125847,77217047,77219584,77247431,77292404,77579618,77671967,77702231,78049922,78305831,78335927,78405860,78417432,78582464,78606431,78930957,78988802,79235087,79324607,79949231,80027944,80210304,80215847,80393231,80398395,80626298,80697720,80717687,80742952,80806007,81011807,81325922,81442530,81558842,81653742,81814984,82135438,82325447,82470407,82608153,82611745,83202132,83243464,83300427,83336785,83546668,83841373,83989377,84051767,84451640,84478847,84564047,84596805,84675385,84761940,84930222,85035362,85158431,85758288,86005197,86077568,86252927,86392367,86416898,86463678,86493345,86809487,86872032,86975831,87093025,87454902,87500687,87578841,87803231,88022138,88148600,88219611,88250882,88323527,88378127,88383117,88405272,88459967,88591144,88895231,89301431,89848058,89867087,89880564,90031437,90081647,90235465,90236592,90242231,90303098,90402527,90412736,90581145,90726184,90784935,90835821,91146767,91199687,91279007,91437431,91832231,92041857,92217484,92259568,92460167,92486231,92503624,92642447,92795522,92880788,92919145,93021242,93336537,93393431,93625127,93648897,93822694,93965425,94087032,94545431,94697807,94751884,95008095,95046242,95077487,95153207,95329607,95646670,95681231,95712375,96056231,96205727,96478074,96613178,96619888,96704745,96800831,96825527,96837264,96899567,97170431,97317767,97505402,97562687,97651022,97731036,97758047,98173058,98292647,98395322,98413607,98575585,98791948,99015407,99134094,99167175,99243304,99282938,99350231,99374087,99445607,99455931,99665037,99805101,99849527,...,67142351772689862275371377882161203795882189427825010448182704838999936359552372512474865531859785732142154864513874822123541423426834941003968303461848344566092357379735179784364485131226487510466009886146892610420815169779007087885057588115316862181913013817692000394806604562996332362795335658033791735116255012881546422179893451296311759171917183867364598932188316190741734990765313070139121309581048937313788852552517202911643188989739356372654598523137855449639902119910930466531894023688574659600679211232764138195422841322776828372534932754894429255110499606775109392855879228292262084383594276434349993283697146895571300317889643045671654039859435834590232293077263034412810603520423650936847740297997963827923089466047936756156666879160398218394313250315581913898282859728846465944516365937706710559476619609599576923374283841037127633604117790625690791817049783899823294316676753772582733281210423717082707923720124072407040935684906552318637985240351783115317183064983319929070155002306081175254887375646526352052063754000333178801433272173639657754674767247773556516698361725080227634458448506625069262798402393894225452762112535567182526486820343416381371314735767823651448476227046922523917548429306583244761797077784871008523372991825531662766014557057288577500369250544962212704283057049635965488683755603526885350750476225255388082498906958432519753990742133306401568361483304192588094387647465370229250036031946863770982579611259288795092830454443418930754266527109662490896730730651864787492807588940617042174487535288112773147703949800779426411588372664562730087405463467712320293141008146460314999993773434112837635934108688954901680211654982963169767529013537125580844098822750275894978165443602813381689964147976345879997672851111645039788134161717740913653557340795326158402360053400392221915420506552779758409170432159840596203531205624913590368459506511145258923416274468854789916096486842740981202516966106154554844723737210574682081284749126233632301157177162521956977601669078294610826239885361317336356830137213043419959480569938890180747567587707168166454730118230553036815941694242491225684945249444630775062786140332765468598258453893722102433018032900706649661700891962290244322864321390081156592083581476454750846710132216875646770614053558361336661270046629040501136181072245534286539921077252986701926714902619939177194967593420821301774342645385597792485217589305243291610514111418766690685537135032333309850773242412372597380081476926890800801992580928189276812366476868556739147293129864458445403324039367827456698124442596324585708117223225106138743932176625114921798202395584544709516991991038230258888998048216698736542820600970726718069497849890852925752189768009200508732747486567474045016583381032907393136687018491074233385163008388600100647795462715066490324194310612699163660675573354350613673970285250579629138696534736050921916396581889364262809617911784587398060383493128286731881771833502322316142339881580737510978733145951753345550512831329686636461828166239621478693436700761503724266802328255154128821451366093218112425677497344422887048085923939767623970688268836611160042364440423802539418673424697778495189428786307031960891798411892542195635558684295225120320085405816047567674162723587392576665823036676114483649049681294769794601202342614948883168700086980269050278908166204163228692752756660474271467531083881699550969108581477119007656055887138534183004997581925453666714044043629206877110270209305132189840021166324753468737110931187660503988791551357754511023856945905694514286331120395283437339054228543364754235912990357393692363358749685977912340317602253212719977631008685071639753641471068309004002285294354914784693146881}
23233  48262842751909285082104822107284042715985825648069324143531029755369384267691: {185816,209043,2018487,2204855,2645826,2761871,2852247,3318887,3595535,3735683,3945530,4314642,4708991,4734636,4849427,4932867,5127863,5336690,5616578,5730647,6005951,6404028,6727130,6935903,7065935,7470722,7492631,7836663,8072556,8448076,8479122,8579930,8597183,8677922,9077907,9345167,9567971,9698018,10254842,10295916,10317207,10672460,10861571,11218535,11554563,11737682,11966583,12068680,12281690,12343996,12806952,13201347,13407866,13446083,13462242,13577265,13668530,14158703,14296744,14407821,14482416,14738028,15516530,15665043,15685228,15814898,15962063,16083837,16292718,16402236,16939463,17354348,17484506,17634280,17638271,17712183,18051767,18110735,18365087,18529527,18619836,19147425,19208690,19720223,19838565,20111267,20161623,20267186,20423920,20535011,20688131,20832527,21161136,21732882,22089256,22463651,22912163,22913855,22918636,22976910,23050428,23806278,23882061,23960882,24226743,24282935,24508704,24632067,24685864,24850413,24858191,25197530,26314883,26544232,26762567,26955971,27012722,27496626,27572292,27771597,27917183,28431025,28673427,28720463,29139522,29335730,29583825,29589164,29862261,29877736,30237036,30283923,30870947,30953663,31079378,31219907,31367752,31489527,31556080,31704671,31756991,32076611,32090930,32303162,32693187,33061425,33494547,33612453,34117230,34295043,34629266,34694967,35183735,35202876,35265520,35288721,35494167,35500590,35525906,35663363,35907683,36267596,36391712,36477587,37020866,37501583,37592690,37867296,38320931,38508530,38509116,38785384,38976986,39673710,39874323,39881690,40014825,40256104,40271223,40615750,40939967,40940676,41012296,41344787,41413785,41707367,41856663,41949935,42029027,42113445,42220482,42274883,42318624,42328547,42600708,42604631,42682480,43633557,43692962,44174704,44280866,44340933,44622867,44688527,44921008,45111228,45288117,45290498,45367130,45383423,45450083,45823730,45874631,46138833,46210236,46642226,46772003,47071583,47608452,47858028,48008735,48017790,48556227,48738900,48857783,48890567,48968327,49302125,49470380,49696542,49766145,50048063,50339922,50536134,50911331,51192316,51218976,51296690,51296727,51814828,51988160,52383122,52786825,53083888,53408531,53573690,53616407,53637303,53907266,53914425,54210767,54440556,54988476,55193367,55374335,55708931,55867202,55888511,56358147,57181007,57508720,57610482,57621348,57758546,57774743,57850631,57908163,57919367,58022500,58486680,58683347,58724771,58870178,58953741,59068407,59162550,59364456,59454723,59555327,59669183,59719374,60120764,60392690,60705242,60991336,61544471,61556028,62385792,62532085,63106720,63258380,63306003,63344190,63508466,63689943,63879863,64288428,64697310,64789221,64840467,64928690,65067585,65162476,65275682,65325071,65348135,65606403,65797515,66167747,66449202,66785013,66892931,66969832,67567136,67570991,67852343,68615253,68654735,68759656,68779031,69010464,69405424,69627000,70024451,70183025,70184016,70581698,70610505,70650083,70995060,71588111,72471228,72564263,72838031,72839703,73131880,73755107,73757987,73895185,74268800,74583935,75038502,75317872,75341061,75409750,75626738,75709756,75728064,75735767,75910056,76013028,76238787,76239866,76719383,76991763,77010380,77130025,77354613,77517251,77636772,77866511,77914428,78081102,78330375,78417762,78634322,78870423,78957018,79111144,79195346,79385411,79659602,79840730,80083907,80369463,80727122,80940671,81684825,81791135,82214522,82273365,82326153,82385682,82617743,82682402,82902311,83244383,83465036,83552400,83892530,84060125,84219630,84385223,84418007,84542402,84696722,84732606,85194072,85241690,85398813,85588887,86152631,86701827,86837891,87130480,87166463,87537373,87686632,87758256,87850828,88305335,88386431,88674222,89000037,89053948,89122560,89193122,89331550,89500722,89660163,89834272,90257762,90491700,90726380,90735458,91741298,92088825,92219027,92237367,92412456,92556030,92625621,93023651,93109871,93208583,93321530,93338643,93691331,93996450,95064064,95253458,95561330,95808876,95843331,95869727,96074855,96108131,96524480,96615505,96767858,97032383,97360023,97544188,97772642,98007325,98021790,98149362,98228080,98647461,98726432,98728038,98809672,99187106,99378467,99689666,...,89523135696919816367161837176214938394509585903766680597576939785333248479403163349966487375813047642856206486018499762831388564569113254671957737949131126088123143172980239712485980174968650013954679848195856813894420226372009450513410117487089149575884018423589333859742139417328443150393780877378388980155006683842061896239857935061749012229222911823152798576251088254322313321020417426852161746108065249751718470070022937215524251986319141830206131364183807266186536159881240622042525364918099546134238948310352184260563788430369104496713243673192572340147332809033479190474505637723016112511459035245799991044929529194095067090519524060895538719812581112786976390769684045883747471360564867915796987063997285103897452621397249008208889172213864291192417667087442551864377146305128621259355154583608947412635492812799435897832378454716170178138823720834254389089399711866431059088902338363443644374947231622776943898293498763209387914246542069758183980320469044153756244086644426572093540003074774900339849834195368469402751672000444238401911029564852877006233022997031408688931148966773636845944598008833425683731203191858967270349483380756243368649093791221841828419647690431535264634969395896698556731239075444326349062770379828011364497322434042217021352742743051436667159000726616283605710742732847953984911674138035847134333968300340517443331875944576693005320989511075202091148644405590117459183529953826972333381375929151694643439481679051726790440605924558574339022036146216654528974307535819716657076785254156056232650047050817030863605266401039235215451163552750306783207284623616427057521344195280419999991697912150450181245478251939868906948873310617559690038684716167441125465097000367859970887258137084508919952197301794506663563801482193386384178882290321218204743121060434877869813404533856295887227342070373011212227242879787461604708274166551453824612675348193678564555032625139719888128649123654641603355954808206073126298316280766242775046332168311509734876236216695942636802225437726147768319847148423115142440182950724559945974093251853574330090116942890888606306824307404049087922258989988300913260332592841033417048187110353958131011271858296136577357377200942199548934522616386992430485761853441542122778108635273001128946842955834195694152071411148448881693395505387334848241429660712382053228103003982269235619870159918902926623457894428402365790193847463723313623452406991055480685481891688920914049513376444413134364323216496796506775302569187734402656774570919035749821969158075652196390839819277927204432052490436608930832590128432780944156297633474851658576235500153229064269860779392946022655988050973678518664064288931648723760801294302290759330466521137234336253024012267344976996648756632060022111174710543190848916024654765644513550677851466800863727283620088653765592414150265551547567431139134151565293713667439505518262046314734562555195442519152350412823882379449864080511324171048975842362444669763088189786508774316681304977527935671127400683775106248848615770888319495304924582267682004965689069771006872171761935154790957483234236663125897182730781231919690165294251025115481546723152587231736719224897899597037993585905048409375947855731215856722927514078245726966827093447207754730090232216964783190102221097382234819311532066241726359726134936456819931844224933449307025400371877554938884304923670342213965695290041445175599401292144775302825343541407849518045577339996775900604888952058724838942502813693612406842919786694888433004624982814574916880671985055401810339348031809261207592685715108160527044583118738971391153005647883987143191589817811666247970549787090136337616959970174678246762186338188628091078672003047059139886379590862508}
23234  48435242417456380749040679782934221344643312791740281250026645336321362480689: {162589,232270,278724,719293,858289,1067614,1345774,1413553,1438462,1552189,1994254,2382493,2691316,2734414,3381214,3527768,3760573,3802996,3968739,4119454,4172593,4446913,4672462,5131453,5541313,5752856,5918295,6222973,6312848,6471963,6577156,6970462,7101954,7174273,7978414,8005035,8252974,8424867,8527153,8538704,8801662,8893054,9606042,9714862,10090695,10409089,10448884,10535374,10560095,10763408,10990654,11206083,11305496,12103876,12108834,12354094,12444862,12509651,12672114,12718683,12869895,13016883,13340575,13727888,13756276,13866673,14256862,14547027,14920753,15085850,15160462,15382263,15406084,15429995,15443874,15577213,15955444,16008690,16493233,16884733,17052814,17075936,17322574,17601796,17606523,17665789,17870930,17949656,18103020,18422535,18515994,19090993,19206862,19210428,19309888,19328099,19606535,19650704,20111799,20193363,20459134,20502795,20886724,21084094,21445116,21600131,21692935,21723624,21869648,22042850,22107042,22331662,23226203,23274795,23527842,23567773,23616244,23722347,23753614,24073789,24439077,24551662,24603354,24706036,24826448,24830653,25525294,25529900,25835773,26031522,26143019,26226759,26451420,26849854,26882164,27085693,27210289,27446783,27611570,27730894,27929754,27994894,28214848,28328413,28452289,28648295,28813035,28977176,29751214,29838862,30400779,30635880,30733904,30801934,30857330,30880531,31151662,31525789,31588462,31741704,31842748,32256733,32302324,32599323,32678272,32842756,33133884,33180290,33766462,33937211,34377954,34465365,34575642,35034673,35224091,35709417,35753089,35885759,35941323,36662168,36763056,36885214,36986455,37028796,37347170,37419313,37537789,37656193,37796295,38231236,38600833,38608894,38652866,38852696,39209690,39305882,39445100,39468334,39816348,40316048,40378564,40519083,41244939,41358438,41438974,41523133,41951662,41986036,42217789,42463774,43123223,43590916,43709283,44003595,44081900,44383746,44628673,44659396,44816604,45334495,45355554,45489640,45726724,46117054,46259956,46331293,46448402,46619067,46669873,46937168,47046862,47051628,47232733,47325556,47334120,47905789,48136395,48454743,48481730,48816574,49021789,49068814,49577089,49656814,50320130,50489728,50914174,51175845,51265370,51345488,51889693,51943899,52084462,52585054,52804314,52898280,52918462,53165764,53250885,53288859,53353100,53367419,53522113,53694964,54083374,54401394,54587568,54923773,55138333,55218380,55531299,55673473,55808884,56151260,56293976,56389035,56424832,56569054,56800944,57056413,57146974,57268093,57762795,57763674,57888862,58178076,58465479,58598603,58741789,59121244,59497156,59510565,59532862,59822535,60024814,60148304,60164699,60352462,60384156,60719233,60729746,60923625,61411014,61518444,61613648,61749553,61837975,62312974,62475934,62772673,63330723,63477936,63484573,63533614,63810704,63889789,63901062,63990395,64023720,64426462,64534987,64741636,64768535,64912654,64985200,65298973,65539443,65898589,65903138,66262056,66354860,66421299,66448462,66495613,66991153,67119896,67173934,67287613,67381512,67576414,67666842,67935747,67976833,68050695,68058862,68291968,68369089,68395636,68540734,68735595,69222251,69315354,69344689,69829789,69963339,69982894,70062862,71178493,71274289,71412678,71516404,71738494,71787042,71885900,71977294,72026685,72133213,72528125,72587408,72702589,72797233,72977762,73108350,73317968,73565614,73591156,73717831,73739713,74205570,74459879,74515534,74544813,74581789,74674993,74831662,75144196,75150955,75509883,75804201,76239170,76432189,76725803,76788474,76813976,76828464,76945035,76981693,77210884,77255473,77346589,77710333,77722242,77982240,78344113,78370462,78574683,78604988,78757876,78883400,79072975,79152608,79243393,79272964,79625832,80360535,80843953,80860899,81453095,81566494,81660834,82074704,82482714,82961134,83181056,83459713,83545789,83712290,83800803,84408004,84458920,84919924,85350862,85674289,85717904,85949570,86263080,86385628,86415723,86425054,86429533,86432022,86453956,86458463,86637819,86756780,86960974,87033750,87343294,87475204,87572494,87730020,88106734,88251133,88305267,88335454,88496833,88598936,88743825,89046684,89172862,89579061,89932462,90181146,90278833,90387454,90589035,91057863,91315453,91414850,91473853,91487004,92013952,92334042,92496433,92574589,92652673,92836000,93030094,93330862,93578688,94147340,94456462,94637195,94660080,94887570,95016285,95130094,95262699,95279614,95340253,96026254,96262975,96390589,96432642,96628304,96696862,96836413,97045965,97069154,97119604,97393035,97514734,97743714,97793473,97866589,97913523,98888930,99085259,99366334,99385393,99673803,99742333,...,134284703545379724550742755764322407591764378855650020896365409677999872719104745024949731063719571464284309729027749644247082846853669882007936606923696689132184714759470359568728970262452975020932019772293785220841630339558014175770115176230633724363826027635384000789613209125992664725590671316067583470232510025763092844359786902592623518343834367734729197864376632381483469981530626140278242619162097874627577705105034405823286377979478712745309197046275710899279804239821860933063788047377149319201358422465528276390845682645553656745069865509788858510220999213550218785711758456584524168767188552868699986567394293791142600635779286091343308079718871669180464586154526068825621207040847301873695480595995927655846178932095873512313333758320796436788626500631163827796565719457692931889032731875413421118953239219199153846748567682074255267208235581251381583634099567799646588633353507545165466562420847434165415847440248144814081871369813104637275970480703566230634366129966639858140310004612162350509774751293052704104127508000666357602866544347279315509349534495547113033396723450160455268916897013250138525596804787788450905524225071134365052973640686832762742629471535647302896952454093845047835096858613166489523594155569742017046745983651063325532029114114577155000738501089924425408566114099271930977367511207053770701500952450510776164997813916865039507981484266612803136722966608385176188775294930740458500072063893727541965159222518577590185660908886837861508533054219324981793461461303729574985615177881234084348975070576225546295407899601558852823176745329125460174810926935424640586282016292920629999987546868225675271868217377909803360423309965926339535058027074251161688197645500551789956330887205626763379928295952691759995345702223290079576268323435481827307114681590652316804720106800784443830841013105559516818340864319681192407062411249827180736919013022290517846832548937709579832192973685481962405033932212309109689447474421149364162569498252467264602314354325043913955203338156589221652479770722634672713660274426086839918961139877780361495135175414336332909460236461106073631883388484982451369890498889261550125572280665530937196516907787444204866036065801413299323401783924580488645728642780162313184167162952909501693420264433751293541228107116722673322540093258081002272362144491068573079842154505973403853429805239878354389935186841642603548685290771195584970435178610486583221028222837533381371074270064666619701546484824745194760162953853781601603985161856378553624732953737113478294586259728916890806648078735654913396248885192649171416234446450212277487864353250229843596404791169089419033983982076460517777996096433397473085641201941453436138995699781705851504379536018401017465494973134948090033166762065814786273374036982148466770326016777200201295590925430132980648388621225398327321351146708701227347940570501159258277393069472101843832793163778728525619235823569174796120766986256573463763543667004644632284679763161475021957466291903506691101025662659373272923656332479242957386873401523007448533604656510308257642902732186436224851354994688845774096171847879535247941376537673222320084728880847605078837346849395556990378857572614063921783596823785084391271117368590450240640170811632095135348325447174785153331646073352228967298099362589539589202404685229897766337400173960538100557816332408326457385505513320948542935062167763399101938217162954238015312111774277068366009995163850907333428088087258413754220540418610264379680042332649506937474221862375321007977583102715509022047713891811389028572662240790566874678108457086729508471825980714787384726717499371955824680635204506425439955262017370143279507282942136618008004570588709829569386293762}
23235  48608253871644735088080639040116727177874040494485032893711659359788356182592: {348405,371632,418086,1601421,2018661,2157693,2991381,3086797,3364145,3922321,4036974,4101621,4409710,4753745,5033749,5071821,5291652,5523742,5704494,5731141,5869853,6179181,6637774,6705089,7008693,7191070,7471366,7891060,8221445,8374117,8629284,9417982,9469272,9698854,9865734,9892309,10255726,10455693,10652931,10673380,11233156,11432177,11461294,11967621,12011902,12266981,12379461,12808056,13061105,13202493,13339581,13454260,13871806,14131870,14409063,14572293,14941444,14985262,15129845,15673326,15705949,15803061,16145112,16485981,16896152,16958244,17159860,17194366,17195345,17355844,18155814,18163251,18531141,18667293,18690334,18932341,19008171,19135942,19257605,19396036,19944305,20509684,20591832,20634414,21344920,21385293,21723142,22002245,22269253,22437070,22628775,22740693,23109126,23165811,23228477,23475364,23767861,23933166,24013035,24137360,24563380,24687992,25355029,25579221,25613904,25983861,26108405,26402694,26572549,26806395,26815732,26892166,26924484,27154530,27208709,27337060,27773991,28230821,28317406,28593488,28810293,28815642,28964832,29476056,29520305,30688701,30882545,31033060,31330086,31370456,31565717,31626141,31629796,31912375,31924126,32079397,32099341,32167674,32585436,32804472,33064275,33160563,33497493,33602705,33878926,33996109,34708696,34792109,34969012,35268560,35276542,35291763,35424366,35630421,36103534,36221470,36730174,36827493,36905031,37059054,37239672,38287941,38294850,38417380,39047283,39440446,39677130,39691889,39803435,40222534,40274781,40323246,40377905,40534372,40847840,41053445,41070022,41376262,41417355,41596341,41665054,41894631,41992341,42322272,42355709,43465764,43763413,44178512,44626821,44758293,44927302,45288373,45824326,45827710,45837272,45953820,46100856,46202901,46285995,46727493,47382693,47612556,47764122,47789045,47921764,48453486,48565870,48862021,49017408,49257229,49264134,49306375,49371728,49700826,49716382,49770435,49899509,50395060,50473205,50649693,51414749,51566931,51863463,52345453,52482545,52629766,53088464,53525134,53755649,53911942,54025444,54215473,54488645,54993252,55102375,55144584,55327821,55543194,55824245,55834366,56020755,56862050,57158405,57341749,57346854,57440926,57779761,57824945,57913341,57979299,58279044,58671460,58729909,58814535,58958823,59156945,59167650,59178328,59202501,59664977,59724522,59755472,60034301,60474072,60567846,60672613,61741894,61907326,62037657,62158461,62158756,62439814,62735504,62927493,62979054,63112160,63119173,63409342,63428453,63513982,63695661,64153222,64181860,64606324,65386374,66122850,66426173,66457205,66575619,66691375,66989094,67118705,67212229,67224906,68033331,68234460,68450161,68590086,68784997,69022975,69175581,69258532,69389934,69543053,69672603,69761105,70107677,70189075,70367470,70405752,70531040,70570293,70577442,70916813,70988334,71001180,71051812,71326726,71395141,71676197,71815366,72535192,72722595,72783424,72955174,73224861,73603221,73901555,74041732,74371445,74485221,74768669,75003166,75185380,75480195,75734592,76371261,76641862,76898055,77017060,77018232,77097329,77141429,77524069,77570768,77953972,78126693,78877581,79036901,79206471,79347420,79377693,79748646,79763380,79876709,80029650,80470277,80512208,80542446,80927045,81125061,81231500,81602091,81879934,81881352,82024592,82689574,82827570,82943575,83414734,83713326,83899870,84058054,84226890,84440964,84549766,84637248,84657094,84853581,85201416,85209262,85364960,85494545,85720461,86645511,86833293,87027277,87267114,87321509,87385924,87544919,88349408,88561732,88681866,88808093,89245734,89299293,89377054,89395505,89842016,89857375,90037221,90222456,90528693,90576234,90580996,90734260,90766846,90900166,91094619,91487389,91647460,91672181,91749262,91988945,92116521,92277666,92420472,93284452,93469461,93544006,93713901,93930245,94143166,95216904,95300421,95716056,95851593,96017470,96035580,96116629,96513605,96623117,96639693,97112454,97368981,97421341,97477800,97715566,97781134,97936654,98256235,98447345,98604250,98854707,98940760,99091205,99393084,99532290,99629297,99672693,...,201427055318069586826114133646483611387646568283475031344548114516999809078657117537424596595579357196426464593541624466370624270280504823011904910385545033698277072139205539353093455393679462531398029658440677831262445509337021263655172764345950586545739041453076001184419813688988997088386006974101375205348765038644639266539680353888935277515751551602093796796564948572225204972295939210417363928743146811941366557657551608734929566969218069117963795569413566348919706359732791399595682071065723978802037633698292414586268523968330485117604798264683287765331498820325328178567637684876786253150782829303049979851091440686713900953668929137014962119578307503770696879231789103238431810561270952810543220893993891483769268398143810268470000637481194655182939750946745741694848579186539397833549097813120131678429858828798730770122851523111382900812353371877072375451149351699469882950030261317748199843631271151248123771160372217221122807054719656955913955721055349345951549194949959787210465006918243525764662126939579056156191262000999536404299816520918973264024301743320669550095085175240682903375345519875207788395207181682676358286337606701547579460461030249144113944207303470954345428681140767571752645287919749734285391233354613025570118975476594988298043671171865732501107751634886638112849171148907896466051266810580656052251428675766164247496720875297559261972226399919204705084449912577764283162942396110687750108095840591312947738833777866385278491363330256792262799581328987472690192191955594362478422766821851126523462605864338319443111849402338279234765117993688190262216390403136960879423024439380944999981320302338512907802326066864705040634964948889509302587040611376742532296468250827684934496330808440145069892443929037639993018553334935119364402485153222740960672022385978475207080160201176665746261519658339275227511296479521788610593616874740771105378519533435776770248823406564369748289460528222943607550898318463664534171211631724046243854247378700896903471531487565870932805007234883832478719656083952009070490411639130259878441709816670542242702763121504499364190354691659110447825082727473677054835748333892325188358420998296405794775361681166307299054098702119948985102675886870732968592964170243469776250744429364252540130396650626940311842160675084009983810139887121503408543216736602859619763231758960105780144707859817531584902780262463905323027936156793377455652767915729874831542334256300072056611405096999929552319727237117792140244430780672402405977742784567830437099430605670217441879389593375336209972118103482370094373327788973757124351669675318416231796529875344765394607186753634128550975973114690776666994144650096209628461802912180154208493549672558777256569304027601526198242459702422135049750143098722179410061055473222700155489025165800301943386388145199470972582931838097490982026720063051841021910855751738887416089604208152765749189745668092788428853735353762194181150479384860195645315500506966948427019644742212532936199437855260036651538493989059909385484498718864436080310102284511172800406984765462386464354098279654337277032492033268661144257771819302871912064806509833480127093321271407618256020274093335485568286358921095882675395235677626586906676052885675360960256217448142703022488170762177729997469110028343450947149043884309383803607027844846649506100260940807150836724498612489686078258269981422814402593251645098652907325744431357022968167661415602549014992745776361000142132130887620631330810627915396569520063498974260406211332793562981511966374654073263533071570837717083542858993361185850312017162685630094262707738971072181077090076249057933737020952806759638159932893026055214919260924413204927012006855883064744354079440643}
23236  48781879271251469395948422078584135246691642685514986251917852774216755105433: {325178,464540,557448,627129,1089883,1438586,1716578,2135228,2691548,2827106,2876924,3104378,3164563,3439963,3988508,3989899,4127203,4538683,4764986,5359699,5382632,5468828,6041899,6055461,6614565,6722299,6762428,7055536,7521146,7605992,7937478,8212843,8238908,8285613,8345186,8556741,8752699,8893826,9344924,9560323,9863825,9956661,10231363,10262906,10633123,10786605,11082626,11207049,11505712,11568043,11836590,12445946,12625696,12632203,12943926,13154312,13341725,13427299,13559563,13940924,13955923,14041445,14126973,14203908,14348546,14548281,14784133,14798601,15383589,15956828,16010070,16505948,16817825,16849734,17054306,17077408,17191941,17603324,17786108,18017853,18532243,18676805,18791083,19212084,19429724,19823563,20181390,20723203,20807709,20818178,20897768,21070748,21120190,21197805,21235699,21449825,21526816,21601993,21694805,21747043,21981308,22412166,22477893,22610992,23509989,24207752,24217668,24245045,24412699,24708188,24889724,25019302,25344228,25437366,25637105,25670899,25739790,25791549,26033766,26681150,26921899,27233721,27449149,27455776,27512552,27669043,27733346,28035501,28513724,28661203,28703913,29094054,29344205,29841506,30017899,30171700,30320924,30370109,30704225,30764526,30812168,30859990,30883193,30887748,30951621,31154426,31243699,31910888,32017380,32583763,32584713,32986466,33068899,33519665,33655605,33673699,33769466,34105628,34151872,34171325,34645148,34663689,34997923,35203592,35213046,35331578,35357563,35741860,35899312,35899749,35955523,36206040,36495173,36845070,37031988,37264699,38181986,38413724,38420856,38619776,38656198,38791325,39213070,39301408,39537245,39604041,40107613,40223598,40324483,40338249,40386726,40731795,40790899,40918268,41005590,41773448,42168188,42476109,42890232,43200262,43223463,43385870,43447248,43711265,43739296,44085700,44137963,44214084,44663324,44936803,46452406,46523899,46549590,46995129,47055684,47135546,47232488,47444694,47507228,47648899,47716229,47886189,48021725,48096883,48147578,48251511,48766699,48878083,48878154,49103324,49206708,49211803,49412072,49652896,49661306,50667965,50818389,50870683,50963809,51050588,51059800,51420043,51671546,51781037,52063044,52286038,52453518,52622299,52902840,52914813,53136549,53699708,53764328,53815843,54155301,54171386,54332205,54420578,54893566,55095261,55215163,55223140,55322299,55461788,55588581,55859508,55963603,55989788,56389699,56429696,56656826,56904578,57296590,57442275,57626070,57871963,57954352,57977299,58607803,59026699,59131243,59160669,59502428,59515695,59652883,59677724,59902205,60333801,60484869,60801558,61271760,61467808,61603868,61605033,61714660,61761062,62064393,62234083,62303324,62497581,62744923,62993825,63051578,63176924,63468293,63483408,63685496,64513466,64604648,65071603,65198646,65356544,65685512,65772163,66170899,66267768,66360580,66568483,67390953,67531805,67532924,67874422,68736489,68741565,68755908,68930730,69151284,69513643,69707683,70069346,70448182,71418834,71506178,71632243,71646183,71771518,71882646,71918443,72680229,72848805,73324336,73339325,73339723,73526112,73528003,73770428,73896201,73903699,73972910,74057592,74371699,74551239,74574573,74694340,74837899,74838626,75075578,75312386,75592590,75672523,76133683,76268621,76462472,77201666,77217788,77305732,77698445,77705392,78050899,78141403,78419380,78611764,78890200,78936668,78944649,79311403,79632696,80227325,80287701,80632096,80757128,80757905,80867913,81038166,81263683,81964963,82390517,82489878,82716876,82835083,82877948,83046266,83314791,83751549,83783899,83903324,83972072,84212299,84435578,84553723,84638899,84927548,85293075,86020281,86161389,86246446,86327299,86410963,86573165,87121073,87181832,87418566,87574699,88007190,88163800,88397299,88751475,88767492,88814765,89257346,89318792,89586553,89586783,89633208,90668990,90675949,90711108,90742123,90851769,90979280,91219699,91453448,92234108,92323963,92519912,92552165,92612841,92662586,92860989,92896804,93104083,93238134,93339746,93645883,93659721,93874336,93981725,94093724,94103256,94465466,94468581,94651112,94668240,94795003,95022883,95114013,95270973,95476699,95811578,96229833,96271325,96272790,96301963,96909486,96963460,97442465,97633148,97633603,98043578,98079561,98137628,99154178,99184275,99229483,99313628,99444403,99704225,...,268569407090759449101485511528644815183528757711300041792730819355999745438209490049899462127439142928568619458055499288494165693707339764015873213847393378264369429518940719137457940524905950041864039544587570441683260679116028351540230352461267448727652055270768001579226418251985329451181342632135166940465020051526185688719573805185247036687668735469458395728753264762966939963061252280556485238324195749255155410210068811646572755958957425490618394092551421798559608479643721866127576094754298638402716844931056552781691365291107313490139731019577717020441998427100437571423516913169048337534377105737399973134788587582285201271558572182686616159437743338360929172309052137651242414081694603747390961191991855311692357864191747024626667516641592873577253001262327655593131438915385863778065463750826842237906478438398307693497135364148510534416471162502763167268199135599293177266707015090330933124841694868330831694880496289628163742739626209274551940961407132461268732259933279716280620009224324701019549502586105408208255016001332715205733088694558631018699068991094226066793446900320910537833794026500277051193609575576901811048450142268730105947281373665525485258943071294605793904908187690095670193717226332979047188311139484034093491967302126651064058228229154310001477002179848850817132228198543861954735022414107541403001904901021552329995627833730079015962968533225606273445933216770352377550589861480917000144127787455083930318445037155180371321817773675723017066108438649963586922922607459149971230355762468168697950141152451092590815799203117705646353490658250920349621853870849281172564032585841259999975093736451350543736434755819606720846619931852679070116054148502323376395291001103579912661774411253526759856591905383519990691404446580159152536646870963654614229363181304633609440213601568887661682026211119033636681728639362384814124822499654361473838026044581035693665097875419159664385947370963924810067864424618219378894948842298728325138996504934529204628708650087827910406676313178443304959541445269345427320548852173679837922279755560722990270350828672665818920472922212147263766776969964902739780997778523100251144561331061874393033815574888409732072131602826598646803567849160977291457285560324626368334325905819003386840528867502587082456214233445346645080186516162004544724288982137146159684309011946807706859610479756708779870373683285207097370581542391169940870357220973166442056445675066762742148540129333239403092969649490389520325907707563203207970323712757107249465907474226956589172519457833781613296157471309826792497770385298342832468892900424554975728706500459687192809582338178838067967964152921035555992192866794946171282403882906872277991399563411703008759072036802034930989946269896180066333524131629572546748073964296933540652033554400402591181850860265961296777242450796654642702293417402454695881141002318516554786138944203687665586327557457051238471647138349592241533972513146927527087334009289264569359526322950043914932583807013382202051325318746545847312664958485914773746803046014897067209313020616515285805464372872449702709989377691548192343695759070495882753075346444640169457761695210157674693698791113980757715145228127843567193647570168782542234737180900481280341623264190270696650894349570306663292146704457934596198725179079178404809370459795532674800347921076201115632664816652914771011026641897085870124335526798203876434325908476030624223548554136732019990327701814666856176174516827508441080837220528759360084665299013874948443724750642015955166205431018044095427783622778057145324481581133749356216914173459016943651961429574769453434998743911649361270409012850879910524034740286559014565884273236016009141177419659138772587524}
23237  48956120780607157330268146289705162206644778768318053411075775254044104921782: {487767,580675,696810,743264,836172,2157879,2574867,2669035,3202842,3364435,3596155,4037322,4240659,4315386,4340083,4656567,4709803,4985635,5870359,5982762,6173594,6655243,6705667,6728290,6836035,6937099,7147479,7399843,7493923,7844642,8073948,8203242,8453035,8819420,9070027,9437923,9507490,10067498,10143642,10298635,10583304,11047484,11281719,11408988,11462282,11510023,11681155,11739706,11906217,12220603,12358362,12517779,12777139,13275548,13340739,13410178,13509859,14017386,14382140,14942732,15035383,15394359,15782120,16442890,16623939,16748234,17068183,17258568,17426155,17754885,18285547,18515227,18668919,18835964,18938544,19397708,19415889,19731468,19784618,19946035,20511452,20632435,20873467,20911386,21129559,21181783,21305862,21346760,21522819,21852139,22004155,22232635,22466312,22864354,22922588,23935242,24015105,24015883,24023804,24073483,24287155,24533962,24758922,25043527,25274601,25581459,25616112,25961239,26122210,26338435,26404986,26679162,26908520,26960647,27476635,27545563,27717283,27743612,27922027,28263740,28818126,29144586,29882888,29970524,30259690,30272085,30803143,30885235,31112155,31227267,31346652,31411898,31606122,31680285,32155747,32269303,32290224,32971962,33618249,33742663,33792304,33916488,34319720,34388732,34390690,34711688,34997203,35132203,35300023,35642155,36311628,36326502,36551767,37062282,37334586,37380668,37528953,37714625,37792519,37864682,37901155,38016342,38156049,38271884,38515210,38609685,38792072,39050649,39888610,40021725,40477867,41019368,41117947,41183664,41268828,41328427,41351959,41600019,42359383,42632035,42689840,42770586,43235563,43306435,43446284,43641081,43869859,44004490,44157079,44361523,44538506,44677325,44762259,44874140,45257550,45481386,46146789,46218252,46289985,46331622,46456954,46731639,46950728,47043787,47535722,47866332,48017155,48026070,48274720,49126760,49375984,49479699,49903843,50056747,50289739,50406103,50654199,50710058,51122887,51147835,51158442,51227808,51574027,51967722,52216810,52710235,52805388,52819569,52997367,53145098,53612790,53631464,53784332,53848968,54309060,54417418,54540403,54674120,55107125,55267605,55547982,55724809,55829155,56426359,56461642,56529067,56634812,57186976,57272979,57463543,57474823,57620586,57631284,57929664,57984297,58438843,58819605,58931059,58952112,58972147,59040610,59384035,60079843,60335397,60580089,61377402,61379155,61508385,61555147,61765090,62066120,62660172,62740912,63131434,63252282,63259592,63779803,63813235,63824750,63848252,63890947,64142263,64158794,64198682,64335348,64800393,64974979,65078805,65170872,65447467,65608944,66128550,66321126,66431959,66904663,66994986,67124635,67205410,67437127,67757852,67992218,69028925,69327235,69417392,69584218,69678609,69824385,69938024,69987235,70113763,70537120,70553084,70583526,70662487,70703319,70848732,70891003,70992307,71167041,71260842,71421559,72207068,72221367,72442940,73015939,73317231,73460348,73475563,73654986,73810062,74118108,74378035,74479344,74491959,74597155,74775163,74875963,74960899,75551587,76284103,76575882,76589700,76619383,76834760,77004835,77143325,77507319,77879155,77880043,78094566,78153943,78355639,78429057,78503659,78680277,78880892,78971155,79314427,79354260,79383778,79606870,80021767,80097799,80445068,80549562,80646492,80755810,80954923,81068744,81257079,81630867,81695680,82088467,82106890,82140044,82340349,82752524,82819723,82834710,82950725,83192682,83198083,83258827,83330108,83564983,83789262,83810779,83984682,84416155,84644544,84711418,84985239,85007323,85356867,85944885,86167603,86320963,86439105,86931528,87526826,87824803,88357024,88729987,89253642,89516586,89854604,90576746,91202337,91648652,91655420,91661083,91674544,91680139,91864723,91907640,92201712,92213035,92281783,92405802,92571990,92641593,93040087,93367925,93454986,93765859,93966187,94399747,94577367,94765386,95225112,95528244,95578090,95843528,96522235,96526747,96632165,96770199,96906972,97131740,97665547,97724042,97797969,98024225,98034816,98264705,98514458,98528268,98612750,98670835,98743456,99401652,99432764,99540870,99637939,99799018,...,402854110636139173652228267292967222775293136566950062689096229033999618157314235074849193191158714392852929187083248932741248540561009646023809820771090067396554144278411078706186910787358925062796059316881355662524891018674042527310345528691901173091478082906152002368839627377977994176772013948202750410697530077289278533079360707777870555031503103204187593593129897144450409944591878420834727857486293623882733115315103217469859133938436138235927591138827132697839412719465582799191364142131447957604075267396584829172537047936660970235209596529366575530662997640650656357135275369753572506301565658606099959702182881373427801907337858274029924239156615007541393758463578206476863621122541905621086441787987782967538536796287620536940001274962389310365879501893491483389697158373078795667098195626240263356859717657597461540245703046222765801624706743754144750902298703398939765900060522635496399687262542302496247542320744434442245614109439313911827911442110698691903098389899919574420930013836487051529324253879158112312382524001999072808599633041837946528048603486641339100190170350481365806750691039750415576790414363365352716572675213403095158920922060498288227888414606941908690857362281535143505290575839499468570782466709226051140237950953189976596087342343731465002215503269773276225698342297815792932102533621161312104502857351532328494993441750595118523944452799838409410168899825155528566325884792221375500216191681182625895477667555732770556982726660513584525599162657974945380384383911188724956845533643702253046925211728676638886223698804676558469530235987376380524432780806273921758846048878761889999962640604677025815604652133729410081269929897779018605174081222753485064592936501655369868992661616880290139784887858075279986037106669870238728804970306445481921344044771956950414160320402353331492523039316678550455022592959043577221187233749481542210757039066871553540497646813128739496578921056445887215101796636927329068342423263448092487708494757401793806943062975131741865610014469767664957439312167904018140980823278260519756883419633341084485405526243008998728380709383318220895650165454947354109671496667784650376716841996592811589550723362332614598108197404239897970205351773741465937185928340486939552501488858728505080260793301253880623684321350168019967620279774243006817086433473205719239526463517920211560289415719635063169805560524927810646055872313586754911305535831459749663084668512600144113222810193999859104639454474235584280488861561344804811955485569135660874198861211340434883758779186750672419944236206964740188746655577947514248703339350636832463593059750689530789214373507268257101951946229381553333988289300192419256923605824360308416987099345117554513138608055203052396484919404844270099500286197444358820122110946445400310978050331600603886772776290398941945165863676194981964053440126103682043821711503477774832179208416305531498379491336185576857707470707524388362300958769720391290631001013933896854039289484425065872398875710520073303076987978119818770968997437728872160620204569022345600813969530924772928708196559308674554064984066537322288515543638605743824129613019666960254186642542815236512040548186670971136572717842191765350790471355253173813352105771350721920512434896285406044976341524355459994938220056686901894298087768618767607214055689693299012200521881614301673448997224979372156516539962845628805186503290197305814651488862714045936335322831205098029985491552722000284264261775241262661621255830793139040126997948520812422665587125963023932749308146527066143141675434167085717986722371700624034325371260188525415477942144362154180152498115867474041905613519276319865786052110429838521848826409854024013711766129488708158881286}
23238  49130980571622104566522240795605948954557976543950105272250168244064684741323: {255497,650356,673061,858437,929080,951077,1045215,1114896,1254258,1644857,1829561,2179766,2475017,2877172,3210761,3433156,3486137,3623717,3852857,4127561,4173317,4270456,4539077,4584761,4804263,4858697,5223497,5383096,5654212,5753848,6055983,6208756,6329126,6360197,6473079,6879926,7265957,7582217,7717637,7977016,7979798,8254406,8393657,8663561,8974143,9077366,9260391,9529972,9605957,9829817,10092435,10500197,10719398,10765264,10937656,11024275,11079737,11346761,11766963,11835557,12083798,12110922,12279077,12304863,12411977,12898661,13229130,13296137,13444598,13524856,13560761,13604837,13809355,13957157,14001161,14111072,14261235,15042292,15101247,15211984,15215463,15874956,16365497,16425686,16477816,16571226,16594435,16690372,17018117,17113482,17193423,17278661,17505398,17609559,17787652,17885477,17977675,18537543,18577061,18678415,18689848,19120646,19180517,19658023,19727650,19913322,20115267,20462726,20525812,21026079,21109577,21266246,21536057,21573210,22046777,22165252,22414098,22429061,23011424,23136086,23276261,23544955,23673180,24162377,24247135,24541061,24664335,24891892,24961061,25122351,25251392,25264406,25639315,25840457,25887852,26147527,26174537,26308624,26466437,26683450,26854598,27119126,27881848,27911846,28044197,28082890,28253946,28407816,28540037,28653235,28697092,29075897,29096562,29568266,29597202,29676927,29897657,30029755,30372727,30552761,30767178,31367079,31368761,31612937,31913656,31958793,32019257,32020140,32222117,32343737,32586761,32829497,33011896,33635650,33699468,33943063,34108612,34154816,34296531,34383882,34679515,35041157,35161097,35206648,35329675,35360837,35572216,35891947,35902863,35998661,36035706,36498319,36793061,36800943,37030757,37064486,37138383,37353610,37463155,37544777,37582166,38424168,38859448,39183315,39196217,39509177,39607479,39647126,39782597,40018743,40362780,41081887,41446406,41615418,41636356,41795536,42141496,42240380,42395610,42471398,42687497,42802757,42899650,42985915,42994697,43053632,43130659,43203986,43227189,43389610,43494086,43716879,43798661,43962616,44027717,44180261,44370761,44824332,44955786,44979017,45092837,45221984,45389535,45887561,46415417,46678757,46725835,46927531,46979237,47019978,47117847,47409183,47839855,48325061,48415504,48435336,48490090,48825398,48882761,48919877,49105337,49416376,49457943,49660517,49779448,49808261,50038604,50688456,50874732,51242057,51274210,51341798,51479580,51583098,51586035,52067532,52227557,52409417,52881317,53329903,53362300,53843798,54307855,54467442,54489753,54898298,54911552,55025104,55220537,55256261,55338086,55352143,55466692,55593423,55969061,56001879,56004617,56071002,56092675,56391907,56797023,57024513,57027448,57173477,57322406,57407826,57772815,58188108,58613561,58688410,58927877,59683012,59832915,60035798,60178661,60343400,60641848,60740218,61041161,61195771,61350437,61408450,61529052,61624336,61719980,61761797,61766386,61775496,61903242,62240261,62308852,62487398,62581061,62785157,63056837,63564857,63821776,63902537,63969977,64034760,64155879,64273061,64407557,65111561,65167526,65169426,65812037,65972932,66006735,66111161,66137798,66575177,66807759,66971657,67039330,67230415,67311210,67347398,67538932,67886325,68211256,68222079,68303744,68342650,68448197,69066761,69261497,69290296,69327378,69497433,69553061,69685431,69714761,69747077,69995846,70005317,70407184,70426092,70663156,70715126,70793515,70935151,71303583,71483720,71798624,71799498,71911046,72039105,72243077,72412080,72990346,73252997,73347257,73378661,73690140,73817477,74063976,74192357,74529398,74597177,74659337,75711161,75865061,76065087,76363972,76737663,76784261,76827448,76841712,76967237,77058617,77239552,77241161,77312396,77362697,77582650,77817317,77951583,78325215,78426140,78450761,78602816,79074490,79208082,79319717,79349561,79717647,79810315,79974437,80215226,80389061,80419185,80447196,80648966,80676498,80773452,80831561,81463590,81581798,81626127,81827897,81836536,82002761,82011180,83321973,83477477,83546896,83620937,83863087,84050117,84336376,84420617,84591161,84692463,84697315,84952218,84987977,85270457,85780464,86029157,86400524,86430879,86446926,86448137,86771740,86894496,87418757,87422530,87478592,88171400,88191355,88275926,88324937,88428168,88488761,88560915,89326648,89465657,89873606,89977061,90135643,90258835,90271817,90352037,90538937,90553675,90778661,91017737,91309061,91467557,91704761,91825435,92066103,92083519,92595017,92647635,92751161,92904812,93047798,93099180,93527561,93656261,93759077,93990258,94111368,94271092,94464976,94544527,94576997,94697151,94805561,94830917,94878423,94889388,95014456,95185061,95297798,95432458,95663177,95737125,95772378,96043450,96163337,96193766,96238191,96295156,96298023,96312761,96503022,96709817,96932261,97276997,97370611,97533398,97571237,97756166,97756308,97937417,98206648,98253317,98398661,98413416,98423606,98543717,98601115,98824144,99192825,99240761,99264677,99305792,99322612,99455717,99479561,99481689,99598661,...,604281165954208760478342400939450834162939704850425094033644343550999427235971352612273789786738071589279393780624873399111872810841514469035714731156635101094831216417616618059280366181038387594194088975322033493787336528011063790965518293037851759637217124359228003553259441066966991265158020922304125616046295115933917799619041061666805832547254654806281390389694845716675614916887817631252091786229440435824099672972654826204788700907654207353891386708240699046759119079198374198787046213197171936406112901094877243758805571904991455352814394794049863295994496460975984535702913054630358759452348487909149939553274322060141702861006787411044886358734922511312090637695367309715295431683812858431629662681981674451307805194431430805410001912443583965548819252840237225084545737559618193500647293439360395035289576486396192310368554569334148702437060115631217126353448055098409648850090783953244599530893813453744371313481116651663368421164158970867741867163166048037854647584849879361631395020754730577293986380818737168468573786002998609212899449562756919792072905229962008650285255525722048710126036559625623365185621545048029074859012820104642738381383090747432341832621910412863036286043422302715257935863759249202856173700063839076710356926429784964894131013515597197503323254904659914338547513446723689398153800431741968156754286027298492742490162625892677785916679199757614115253349737733292849488827188332063250324287521773938843216501333599155835474089990770376788398743986962418070576575866783087435268300465553379570387817593014958329335548207014837704295353981064570786649171209410882638269073318142834999943960907015538723406978200594115121904894846668527907761121834130227596889404752483054803488992425320435209677331787112919979055660004805358093207455459668222882016067157935425621240480603529997238784558975017825682533889438565365831780850624222313316135558600307330310746470219693109244868381584668830822652694955390993602513634895172138731562742136102690710414594462697612798415021704651497436158968251856027211471234917390779635325129450011626728108289364513498092571064074977331343475248182421031164507245001676975565075262994889217384326085043498921897162296106359846955308027660612198905778892510730409328752233288092757620391189951880820935526482025252029951430419661364510225629650209808578859289695276880317340434123579452594754708340787391715969083808470380132366958303747189624494627002768900216169834215290999788656959181711353376420733292342017207217933228353703491311298291817010652325638168780126008629916354310447110283119983366921271373055009025955248695389589626034296183821560260902385652927919344072330000982433950288628885385408736540462625480649017676331769707912082804578594727379107266405149250429296166538230183166419668100466467075497400905830159164435598412917748795514292472946080160189155523065732567255216662248268812624458297247569237004278365286561206061286582543451438154580586935946501520900845281058934226637598808598313565780109954615481967179728156453496156593308240930306853533518401220954296387159393062294838963011831097476099805983432773315457908615736194419529500440381279963814222854768060822280006456704859076763287648026185707032879760720028158657026082880768652344428109067464512286533189992407330085030352841447131652928151410821083534539948518300782822421452510173495837469058234774809944268443207779754935295958721977233294071068904502984246807647044978237329083000426396392662861893992431883746189708560190496922781218633998380688944535899123962219790599214712513151250628576980083557550936051488056890282788123216913216543231270228747173801211062858420278914479798679078165644757782773239614781036020567649194233062238321929}
23239  49306460823812719284225579777386014369557211193047973320798953825139044747476: {812945,975534,1161350,1393620,1486528,1672344,1881387,3269649,3596465,3736649,4291445,4315758,4710209,4850681,5034617,5129189,5149734,5338070,6405684,6728870,6937697,6979889,7067765,7192310,7494569,7760945,7910177,8074644,8375561,8481318,8630772,8680166,8745269,9313134,9419606,9493689,9570449,9971270,10137089,10319889,11153909,11740718,11834249,11912465,11965524,11969697,12347188,12381609,13310486,13411334,13456580,13616049,13658321,13672070,13874198,14294958,14418089,14799686,14987846,15545057,15689284,15966197,16079097,16147896,16353617,16406484,16906070,17638840,17769089,18125697,18140054,18166383,18802865,18875846,19014980,19843695,20134996,20166897,20171489,20287284,20597270,20693489,20862965,21166608,22094968,22234565,22563438,22817976,22918097,22924564,23020046,23329169,23362310,23479412,23812434,24396617,24441206,24638529,24680777,24716724,24856839,24864629,24971297,25035558,25554278,25657265,25670223,26258097,26551096,26681478,26820356,26841281,27019718,27706565,27924449,28034772,28680969,28764280,28885409,28889249,29445257,29591475,29869983,29885464,30070766,30694089,30788718,30805817,31081049,31114865,31125689,31564240,31899369,32359815,32756789,32885780,33247878,33496468,33621147,34002017,34136366,34517136,34704129,34852310,35509770,35871365,36571094,36845969,36873809,37030454,37337838,37671928,37877088,37896609,38136449,38467289,38795416,38831778,38857097,39114521,39462936,39569236,39843617,39892070,40025175,40281897,40678689,41022904,41264870,41718209,41746934,41822772,41867769,42124335,42259118,42363566,42380919,42611724,42635765,42693520,43045638,43239329,43557017,43644843,43704278,44008310,44352399,44395803,44465270,44932624,44966849,45239969,45728708,45845176,46150767,47870484,48030210,48031766,48047608,48146966,48574310,48870497,49067924,49517844,49899017,50061089,50087054,50410481,50453475,50521169,50549202,51162918,51232224,51575823,51846197,51922478,52045445,52244420,52676870,52742897,52800475,52809972,52993121,53061617,53358324,53422457,53817040,53921294,54053559,54953270,55091126,55434566,55487224,55596729,55844054,56030415,56373249,56527480,57636252,58289172,58977269,59223257,59470689,59570849,59684849,59765776,59941048,60519380,60544170,60629009,60765137,60956921,61606286,61770470,62169609,62224310,62423127,62454534,62548255,62693304,62823796,63212244,63360570,63540857,63593415,63707097,63896489,64311494,64349475,64538606,64580448,64805979,65084415,65241129,65314001,65943924,66316577,66685697,66702875,67224017,67236498,67433679,67485326,67584608,67832976,68639440,68777464,68781380,68796929,69333365,69423376,69645797,69994406,70264406,70529967,70600046,70897157,71284310,71407529,71606969,72623256,72653004,72735135,73103534,73147169,73238097,73794329,74124564,74603765,74669172,74761336,75057906,75429250,75558149,75585038,75729364,75802310,76032684,76312098,76543768,76911315,77012697,77030420,77149975,77219370,77374647,77404217,77584144,77886065,78051521,78101298,78160817,78362441,78510497,78528449,79231121,79777220,80043450,80765697,80955734,81701163,82038736,82235894,82347447,82367328,82466165,82537656,82540457,82656854,82703918,83007129,83137649,83200038,83266049,83572241,84106503,84407297,84423665,84440009,84718766,85264070,85379680,85541172,85930817,85983609,86018357,86111739,86425697,86471126,86612870,86892568,87042401,87282162,87739718,88008980,88030289,88032615,88314158,88328945,88723046,89077012,89338529,89354650,89511749,89524518,89748280,90053697,90515100,90869897,90962772,91110327,92112675,92289857,92293578,92436504,92579970,92649579,92663244,92854863,92913908,92999201,93463278,93731097,93901456,93974489,94087574,95071444,95454965,95732664,96034310,96052140,96345929,96549440,96640495,97058129,97751289,97754139,97982129,97982537,98032675,98253520,98751968,98959398,99168809,99206697,99807686,...,805708221272278347304456534585934445550586273133900125378192458067999236314628470149698386382317428785705858374166497865482497081122019292047619641542180134793108288556822157412373821574717850125592118633762711325049782037348085054620691057383802346182956165812304004737679254755955988353544027896405500821395060154578557066158721415555741110063006206408375187186259794288900819889183756841669455714972587247765466230630206434939718267876872276471855182277654265395678825438931165598382728284262895915208150534793169658345074095873321940470419193058733151061325995281301312714270550739507145012603131317212199919404365762746855603814675716548059848478313230015082787516927156412953727242245083811242172883575975565935077073592575241073880002549924778620731759003786982966779394316746157591334196391252480526713719435315194923080491406092445531603249413487508289501804597406797879531800121045270992799374525084604992495084641488868884491228218878627823655822884221397383806196779799839148841860027672974103058648507758316224624765048003998145617199266083675893056097206973282678200380340700962731613501382079500831153580828726730705433145350426806190317841844120996576455776829213883817381714724563070287010581151678998937141564933418452102280475901906379953192174684687462930004431006539546552451396684595631585864205067242322624209005714703064656989986883501190237047888905599676818820337799650311057132651769584442751000432383362365251790955335111465541113965453321027169051198325315949890760768767822377449913691067287404506093850423457353277772447397609353116939060471974752761048865561612547843517692097757523779999925281209354051631209304267458820162539859795558037210348162445506970129185873003310739737985323233760580279569775716150559972074213339740477457609940612890963842688089543913900828320640804706662985046078633357100910045185918087154442374467498963084421514078133743107080995293626257478993157842112891774430203593273854658136684846526896184975416989514803587613886125950263483731220028939535329914878624335808036281961646556521039513766839266682168970811052486017997456761418766636441791300330909894708219342993335569300753433683993185623179101446724665229196216394808479795940410703547482931874371856680973879105002977717457010160521586602507761247368642700336039935240559548486013634172866946411438479052927035840423120578831439270126339611121049855621292111744627173509822611071662919499326169337025200288226445620387999718209278908948471168560977723122689609623910971138271321748397722422680869767517558373501344839888472413929480377493311155895028497406678701273664927186119501379061578428747014536514203903892458763106667976578600384838513847211648720616833974198690235109026277216110406104792969838809688540199000572394888717640244221892890800621956100663201207773545552580797883890331727352389963928106880252207364087643423006955549664358416832611062996758982672371153715414941415048776724601917539440782581262002027867793708078578968850131744797751421040146606153975956239637541937994875457744321240409138044691201627939061849545857416393118617349108129968133074644577031087277211487648259226039333920508373285085630473024081096373341942273145435684383530701580942710506347626704211542701443841024869792570812089952683048710919989876440113373803788596175537237535214428111379386598024401043763228603346897994449958744313033079925691257610373006580394611629302977725428091872670645662410196059970983105444000568528523550482525323242511661586278080253995897041624845331174251926047865498616293054132286283350868334171435973444743401248068650742520377050830955884288724308360304996231734948083811227038552639731572104220859677043697652819708048027423532258977416317762572}
23240  49482563724327973794176733849106392088212207064772903132025169265820120772304: {301951,510994,719479,858511,997471,1300712,1346122,1463301,1552591,1691191,1716874,1742025,1858160,1902154,2090430,2229792,2244871,2508516,2521279,3289714,3659122,4173679,4359532,4585159,4859119,4950034,5132791,5269519,5754344,6360751,6421522,6473637,6866312,6972274,7247434,7705714,7724601,8007105,8255122,8346634,8540912,8664319,9078154,9169522,9608526,9717394,9875431,10093305,10411831,10446994,10545751,10766192,10788465,11308424,11347759,11507696,11880991,12111966,12280159,12417512,12658252,12720394,12721977,12943999,12946158,13020249,13606039,13759852,13969701,14002399,14129409,14531914,14956905,15164434,15187591,15433985,15435274,15581359,15954032,15959596,15974479,16508812,16628239,16787314,16820725,17019631,17327122,17611077,17670511,17948286,18154732,18520782,19059944,19211914,19225279,19333097,19611605,19659634,19965729,20117001,20184870,20508105,20811297,20897911,21000394,21438796,21442437,21530528,21537991,21875312,22048550,22159474,22199529,22481769,22693522,23232209,23320639,23533926,23671114,23700799,23768725,24080311,24167596,24206671,24221844,24558154,24609726,24711391,24823954,24963319,25168745,25359105,25797322,26149781,26458260,26468839,26592274,26718751,26889196,27049712,27121522,27209674,27210081,27217711,27466759,27618710,27914314,28002322,28088119,28222144,28313769,28460071,28522470,28583911,28655705,29349265,30084584,30187279,30202494,30423968,30430926,30555559,30895905,31045591,31656511,31749912,32265631,32387239,32730994,32851372,32955632,32962937,33142452,33188870,33380744,33525445,33845157,33945989,33961591,34036234,34202719,34226964,34386846,34530069,34557322,35010796,35043465,35164351,35219118,35575304,35718651,35770954,35882551,35895041,35955350,36661809,37073791,37075086,37154122,37356830,37379696,37429759,37548271,37553337,37666711,37785079,38241292,38331417,38361034,39316046,39455300,39786319,39826644,40022217,40114529,40230534,40529577,40925452,41051624,41107225,41870585,42041657,42052158,42219154,42345271,42532492,43037119,43072114,43134377,43146420,43496911,44070031,44093554,44330504,44828196,44858122,45106149,45891919,46022848,46183077,46272172,46552522,46683199,47021239,47089910,47346360,47724457,47807479,48031471,48324754,48366919,48494270,48551321,48924559,49082122,49328670,49461545,49702231,49783784,49871817,49922122,50244702,50502784,50528812,50972597,51204549,51246991,51278630,51680914,51775704,52232599,52278465,52295054,52349074,52448417,52617248,52932874,53264655,53366900,53709196,54238252,54509671,54856641,55047151,55261639,55545681,55582831,55763696,55796599,55823692,56006757,56010079,56088394,56165780,56507892,56815632,57080074,57160885,57179071,57306470,57394184,57813031,58129039,58151794,58193124,58247667,58759111,59136532,59194404,59282191,59353854,59795314,59838105,59907511,60059510,60180281,60219199,60745454,61105522,61334905,61534356,61870591,61897305,62075719,62620401,62734158,62737522,63026249,63225874,63388677,63545349,63604999,63827312,63917586,64038514,64040280,64413991,64444234,64568457,64615519,64687474,65173522,65305525,65416169,65556417,65658994,66012465,66018151,66023792,66644981,66697905,66975797,67011391,67271300,67398936,67886126,68217224,68309632,68487751,68593062,68767764,69359030,69754159,70044679,70082314,70322194,70413296,70659350,70721674,71144432,71200279,71296111,71391871,71783894,71805726,71997322,72045315,72047649,72071412,72220449,72250471,72440479,72819631,72861465,72914239,72996638,73386199,73586122,73601886,73762471,74061514,74128972,74231191,74276766,74698111,74707220,74926310,75089554,75130581,75164332,75534031,75649225,75823803,75903679,76030997,76455991,76744377,76848336,77005711,77279599,77370751,77718896,77825431,77883717,78366630,78392434,78458959,78529745,79015305,79018354,79214958,79268311,79294252,79357879,79565194,80037486,80427079,80725560,80869519,80881941,81370201,81836551,82163774,82429905,82636689,82892812,83151849,83230836,83272712,83572471,83591072,83766081,84087631,84282992,84480760,84791220,84942796,85025359,85194919,85374994,85605514,85786111,85799300,85971830,85976725,85989394,86107264,86261318,86407972,86454378,86541031,86779220,86988172,87433758,87455791,87597322,87925232,87951079,88055434,88279831,88360522,88361839,88525639,88689151,88741522,89340319,89648664,89911572,89958034,90185674,90308431,90443968,90548839,90779070,90816255,91027711,91345519,91503991,91775122,91977679,92409429,92605231,92655705,92683351,92761399,92830834,93336465,93357514,93451670,93537919,93681801,93769471,93855062,93958474,94039956,94122581,94153951,94235694,94661705,94818366,94841479,95040855,95679710,96288025,96467241,96497551,96650122,96807909,96831008,96870672,96943159,96980180,97312519,97606711,97650796,97765522,97839754,97899751,98210674,98264431,98554879,98832752,98915886,99110921,99275959,99321034,99490879,99558896,99616522,99721525,99735889,99847639,99989839,...,1208562331908417520956684801878901668325879409700850188067288687101998854471942705224547579573476143178558787561249746798223745621683028938071429462313270202189662432835233236118560732362076775188388177950644066987574673056022127581931036586075703519274434248718456007106518882133933982530316041844608251232092590231867835599238082123333611665094509309612562780779389691433351229833775635262504183572458880871648199345945309652409577401815308414707782773416481398093518238158396748397574092426394343872812225802189754487517611143809982910705628789588099726591988992921951969071405826109260717518904696975818299879106548644120283405722013574822089772717469845022624181275390734619430590863367625716863259325363963348902615610388862861610820003824887167931097638505680474450169091475119236387001294586878720790070579152972792384620737109138668297404874120231262434252706896110196819297700181567906489199061787626907488742626962233303326736842328317941735483734326332096075709295169699758723262790041509461154587972761637474336937147572005997218425798899125513839584145810459924017300570511051444097420252073119251246730371243090096058149718025640209285476762766181494864683665243820825726072572086844605430515871727518498405712347400127678153420713852859569929788262027031194395006646509809319828677095026893447378796307600863483936313508572054596985484980325251785355571833358399515228230506699475466585698977654376664126500648575043547877686433002667198311670948179981540753576797487973924836141153151733566174870536600931106759140775635186029916658671096414029675408590707962129141573298342418821765276538146636285669999887921814031077446813956401188230243809789693337055815522243668260455193778809504966109606977984850640870419354663574225839958111320009610716186414910919336445764032134315870851242480961207059994477569117950035651365067778877130731663561701248444626632271117200614660621492940439386218489736763169337661645305389910781987205027269790344277463125484272205381420829188925395225596830043409302994872317936503712054422942469834781559270650258900023253456216578729026996185142128149954662686950496364842062329014490003353951130150525989778434768652170086997843794324592212719693910616055321224397811557785021460818657504466576185515240782379903761641871052964050504059902860839322729020451259300419617157718579390553760634680868247158905189509416681574783431938167616940760264733916607494379248989254005537800432339668430581999577313918363422706752841466584684034414435866456707406982622596583634021304651276337560252017259832708620894220566239966733842542746110018051910497390779179252068592367643120521804771305855838688144660001964867900577257770770817473080925250961298035352663539415824165609157189454758214532810298500858592333076460366332839336200932934150994801811660318328871196825835497591028584945892160320378311046131465134510433324496537625248916594495138474008556730573122412122573165086902876309161173871893003041801690562117868453275197617196627131560219909230963934359456312906992313186616481860613707067036802441908592774318786124589677926023662194952199611966865546630915817231472388839059000880762559927628445709536121644560012913409718153526575296052371414065759521440056317314052165761537304688856218134929024573066379984814660170060705682894263305856302821642167069079897036601565644842905020346991674938116469549619888536886415559509870591917443954466588142137809005968493615294089956474658166000852792785325723787984863767492379417120380993845562437267996761377889071798247924439581198429425026302501257153960167115101872102976113780565576246433826433086462540457494347602422125716840557828959597358156331289515565546479229562072041135298388466124476643858}
23241  49659291467975957619710951848383118799036859604786038238273675340908759414542: {766491,1138123,1625890,1951068,2019183,2322700,2575311,2787240,2853231,2973056,3135645,3344688,3762774,4934571,5035051,5449415,5488683,5732623,6008023,6539298,7192930,7401119,7425051,7473298,8376283,8582890,8631516,9071591,9348391,9420418,9632283,9701362,9894871,10069234,10258378,10299468,10458239,10458411,10676140,10865323,10871151,11558571,12382683,12519951,12811368,13457740,13617231,13754283,13875394,13959778,14135530,14384620,14412789,14576091,14989138,15467063,15521890,15670491,15820354,15822815,16149288,16677451,16751122,16962636,17199815,17261544,17360332,17490538,18087179,18167949,18371431,18626268,18839212,18987378,19080591,19140898,19419237,19942540,19949495,20274178,20636015,20639778,21797871,22307818,22693415,22746651,23152911,23481436,23668498,23824930,23931048,23939394,24694376,24763218,25180971,25990683,26324011,26579431,26620972,26798495,26822668,26913160,26922429,27232098,27316642,27344140,27748396,27781173,28589916,28734431,28817871,28836178,29168191,29208151,29489451,29599372,29975692,30209495,30277305,30881611,31090114,31128391,31378568,31426763,31500591,31715623,31932394,32158194,32295792,32707234,32812968,33072825,33239211,33285659,33611495,33812140,34040283,34737643,35277680,35300889,35506671,35538178,35595383,35920171,36251394,36280108,36332766,36837231,36914589,37235931,37605730,37751692,37829759,38029960,38695983,38789191,38930279,39687390,39888411,40269992,40333794,40342978,40574568,40682283,40814511,41064215,41194540,41386978,41428065,41725930,41871471,42003483,42049823,42333216,42366731,42783705,43560811,43763495,43877471,44189936,44469130,45126876,45303741,45635952,45646389,45836194,45849128,46040092,46658338,46724620,46958824,47087911,47624868,47801615,48068011,48404939,48793234,48882412,49096491,49277058,49319125,49361554,49433448,49713678,49729258,49783305,49942594,50071116,50219911,51054351,51108556,51156815,51314530,51340446,51580269,51835983,52233751,52516194,52828677,53102192,53165615,53362956,53640712,53656431,53682562,53700791,53769623,53933025,54039436,55413130,55612629,55731183,55848898,56035245,56069544,56647819,57361938,57438491,57528560,57541551,57770818,57778498,57840215,58890514,58974069,59182950,59576023,59690071,59739966,59770928,60141532,60345801,61388178,61577436,61611634,62162098,62229730,62251378,62476831,63078237,63128480,63135631,63161015,63328731,63798738,64608171,64719630,64944671,65458823,65513578,65771560,66140331,66190699,66495756,66640411,66708625,66992936,67136495,67242294,67287183,67797815,67941599,68004034,68272732,69034272,69408258,69561131,69704620,69779615,69828783,70207225,70634865,71019540,71413723,71742730,72487131,72728231,72741405,72863623,73142188,73623183,73691938,73747618,73920665,73925951,73993005,74060908,74675676,74883183,75343856,75367053,75695423,75754176,75793218,76272898,76917945,76934578,77117423,77521371,77590832,77663556,77714194,78229042,78442581,78523611,78667151,78925872,79138472,79237999,79399311,79687234,79784140,80050350,80563794,81357378,82045808,82529740,83436418,83493868,83645544,83735538,84089125,84132591,84248670,84447343,84518236,84727132,84761838,85223448,85271530,85387040,85620111,85959705,86091276,86478658,86989271,87114034,87227691,87289686,87408556,87567557,87684719,88016620,88704798,88791606,88831391,88930540,89030781,89692971,89865248,89933698,90089265,90317579,90479938,91118181,91457416,91477711,91658283,91690352,92251099,92301534,92661215,93384025,93955415,94101237,94106283,94838811,94851563,95652959,95740968,95876379,96057771,96060420,96063532,96095216,96293932,96666351,97031211,97066711,97148620,97740994,97760283,98025791,98135848,98488491,99035688,99117815,99412939,99655223,99798034,...,1812843497862626281435027202818352502488819114551275282100933030652998281707914057836821369360214214767838181341874620197335618432524543407107144193469905303284493649252849854177841098543115162782582266925966100481362009584033191372896554879113555278911651373077684010659778323200900973795474062766912376848138885347801753398857123185000417497641763964418844171169084537150026844750663452893756275358688321307472299018917964478614366102722962622061674160124722097140277357237595122596361138639591515809218338703284631731276416715714974366058443184382149589887983489382927953607108739163891076278357045463727449818659822966180425108583020362233134659076204767533936271913086101929145886295051438575294888988045945023353923415583294292416230005737330751896646457758520711675253637212678854580501941880318081185105868729459188576931105663708002446107311180346893651379060344165295228946550272351859733798592681440361233113940443349954990105263492476912603225601489498144113563942754549638084894185062264191731881959142456211505405721358008995827638698348688270759376218715689886025950855766577166146130378109678876870095556864635144087224577038460313928215144149272242297025497865731238589108858130266908145773807591277747608568521100191517230131070779289354894682393040546791592509969764713979743015642540340171068194461401295225904470262858081895478227470487877678033357750037599272842345760049213199878548466481564996189750972862565321816529649504000797467506422269972311130365196231960887254211729727600349262305804901396660138711163452779044874988006644621044513112886061943193712359947513628232647914807219954428504999831882721046616170220934601782345365714684540005583723283365502390682790668214257449164410466977275961305629031995361338759937166980014416074279622366379004668646048201473806276863721441810589991716353676925053477047601668315696097495342551872666939948406675800921990932239410659079327734605144754006492467958084866172980807540904685516416194688226408308072131243783388092838395245065113954492308476904755568081634413704752172338905975388350034880184324868093540494277713192224931994030425744547263093493521735005030926695225788984667652152978255130496765691486888319079540865924082981836596717336677532191227986256699864278272861173569855642462806579446075756089854291258984093530676888950629425736577869085830640952021302370738357784264125022362175147907251425411140397100874911241568873483881008306700648509502645872999365970877545134060129262199877026051621653799685061110473933894875451031956976914506340378025889749062931341330849359950100763814119165027077865746086168768878102888551464680782707156958783758032216990002947301850865886656156226209621387876441947053028995309123736248413735784182137321799215447751287888499614690549499259004301399401226492202717490477493306795238753246386542877418838240480567466569197197701765649986744806437873374891742707711012835095859683618183859747630354314463741760807839504562702535843176802679912796425794940697340329863846445901539184469360488469779924722790920560600555203662862889161478179186884516889035493292428299417950298319946373725847208583258588501321143839891442668564304182466840019370114577230289862944078557121098639282160084475971078248642305957033284327202393536859599569977221990255091058524341394958784454232463250603619845554902348467264357530520487512407174704324429832805329623339264805887876165931699882213206713508952740422941134934711987249001279189177988585681977295651238569125680571490768343655901995142066833607697371886659371797644137539453751885730940250672652808154464170670848364369650739649629693810686241521403633188575260836743439396037234496934273348319718844343108061702947582699186714965787}
23242  49836646257250522345946800753517703733401080470072989477449997894974006602947: {603902,951241,1021988,1229017,1438958,1717022,1922197,1994942,2438835,2601424,2692244,2903375,2926602,3105182,3382382,3433748,3484050,3716320,3804308,4128277,4180860,4459584,4489742,5017032,5042558,5497717,5644161,6179737,6452041,6579428,7318244,8347358,8719064,8754997,8889817,9170318,9718238,9808947,9831541,9900068,10265582,10539038,10789395,11170741,11209947,11437717,11508688,11837641,12721502,12768277,12843044,12874335,12947274,13345175,13563157,13732624,13944548,14130627,14494868,14552043,15103851,15387567,15411428,15449202,15801241,16014210,16510244,16693268,16822175,17081824,17108041,17328638,17368537,17980775,18148297,18156308,18339044,19217052,19434788,19750862,20186610,20813091,20823662,20893988,20939667,21091502,21203295,21532384,21576930,21607579,21625141,21700415,21880597,22483707,22517977,22616848,22695518,23015392,23280457,23282835,23549015,23730531,23761982,24223932,24545497,24560318,24835024,24928175,25126683,25316504,25426741,25440788,25443954,25677877,25887998,25892316,26040498,26235807,27053977,27212078,27456247,27519704,27939402,28004798,28258818,28481067,28711347,29063828,29351795,29780041,29913810,30328868,30375182,30411267,30867970,30870548,30891179,30959667,31162718,31374517,31908064,31919192,31948958,33017624,33256478,33276215,33461727,33528335,33574628,33641450,33803797,34039262,34180175,34654244,34685495,35222154,35236243,35341022,35502747,35737395,35896572,35909091,36309464,36999215,37037641,37041564,37144827,37469615,38119888,38423828,38450558,38666194,39046837,39223210,39319268,39931458,40117987,40234002,40369740,40569241,40848147,40974963,41016210,41088971,41622594,41795822,41963737,42000788,42265175,42877592,42884874,43061056,43075982,43254267,43692277,43750624,44097100,44318948,44379157,44399058,44963538,45177241,45350135,45387044,45404617,46464418,46635171,46641278,46935623,47067852,47189615,47342228,47401598,47537450,47728571,47898591,48160622,48237291,48335192,48413342,48443688,48892117,49060851,49116308,49219452,49422782,49647908,49891657,49926638,50337490,50718210,50976991,51493175,51594644,52299562,52746457,52916520,52937678,53184548,53289877,53307267,53339099,53437502,53778392,54099424,54243044,54377091,54419348,54420162,54435422,54499149,54933518,55237420,55338457,55445557,55828628,56004644,56176238,56401631,56408595,56444288,56627538,56920142,57044940,57167822,57255241,57311410,57550115,57994357,58405775,58618819,58698530,59148697,59531085,60169168,60374558,60404988,60500691,60514467,60847936,60861852,60915541,61103015,61111118,61122037,61431241,61791810,62080467,62091182,62588895,62763637,63313022,63499824,63885695,63982741,64487641,64531262,64557251,64774478,64990741,65461988,65702744,65911264,65925874,66190837,66284904,66290377,66377740,66703695,66761488,67050890,67281817,67549295,67690314,67891978,67923182,68072468,68266057,68405438,68453928,68754291,68773692,68950741,69060138,69114644,69246163,69631897,69987507,70021592,70086930,70328702,70406041,70438236,71150608,71437302,71541908,71654197,71765102,71790082,71845141,71910700,72321241,73189851,73323618,73550677,73743263,73915587,74042331,74147582,74150172,74207641,74308244,74485567,74570517,74593887,74674741,74713660,74759392,74859518,74861077,74913891,75096542,75106674,75176915,75333422,75570158,75788437,76482584,76662834,76722068,76971795,77010669,78165877,78632092,78774291,78910600,79572638,79653288,80025239,80044434,80139541,80229058,80405977,80461068,80523843,80583241,81059154,81201397,81850904,82103248,82214450,82514137,83119695,83741170,83773347,84083314,84104316,84239257,84438308,84666037,84690542,85064984,85340915,85868867,86042907,86074238,86144228,86268754,86292840,86438857,86656227,86667747,86981939,86993822,87130775,87188917,87437641,88140062,88187108,88335771,88507957,88661008,88774425,89485141,89609949,89656392,89716244,89727817,90212298,90291541,90851737,91329097,91427735,91783838,91882741,92045696,92082267,92366154,92417451,92511157,92544344,92576135,93105044,93212617,93243147,93344595,93366398,93377067,94042478,94179820,94598041,94692720,95130517,95448914,95508697,95614958,95698107,95734741,96062942,96164783,96649508,96733838,96988540,97079445,97102642,97849118,98164244,98270367,98469337,98657340,98923090,99404462,99567568,99621337,99730175,99743634,99844244,...,2417124663816835041913369603757803336651758819401700376134577374203997708943885410449095159146952286357117575122499493596447491243366057876142858924626540404379324865670466472237121464724153550376776355901288133975149346112044255163862073172151407038548868497436912014213037764267867965060632083689216502464185180463735671198476164246667223330189018619225125561558779382866702459667551270525008367144917761743296398691890619304819154803630616829415565546832962796187036476316793496795148184852788687745624451604379508975035222287619965821411257579176199453183977985843903938142811652218521435037809393951636599758213097288240566811444027149644179545434939690045248362550781469238861181726735251433726518650727926697805231220777725723221640007649774335862195277011360948900338182950238472774002589173757441580141158305945584769241474218277336594809748240462524868505413792220393638595400363135812978398123575253814977485253924466606653473684656635883470967468652664192151418590339399517446525580083018922309175945523274948673874295144011994436851597798251027679168291620919848034601141022102888194840504146238502493460742486180192116299436051280418570953525532362989729367330487641651452145144173689210861031743455036996811424694800255356306841427705719139859576524054062388790013293019618639657354190053786894757592615201726967872627017144109193970969960650503570711143666716799030456461013398950933171397955308753328253001297150087095755372866005334396623341896359963081507153594975947849672282306303467132349741073201862213518281551270372059833317342192828059350817181415924258283146596684837643530553076293272571339999775843628062154893627912802376460487619579386674111631044487336520910387557619009932219213955969701281740838709327148451679916222640019221432372829821838672891528064268631741702484961922414119988955138235900071302730135557754261463327123402496889253264542234401229321242985880878772436979473526338675323290610779821563974410054539580688554926250968544410762841658377850790451193660086818605989744635873007424108845884939669563118541300517800046506912433157458053992370284256299909325373900992729684124658028980006707902260301051979556869537304340173995687588649184425439387821232110642448795623115570042921637315008933152371030481564759807523283742105928101008119805721678645458040902518600839234315437158781107521269361736494317810379018833363149566863876335233881520529467833214988758497978508011075600864679336861163999154627836726845413505682933169368068828871732913414813965245193167268042609302552675120504034519665417241788441132479933467685085492220036103820994781558358504137184735286241043609542611711677376289320003929735801154515541541634946161850501922596070705327078831648331218314378909516429065620597001717184666152920732665678672401865868301989603623320636657742393651670995182057169891784320640756622092262930269020866648993075250497833188990276948017113461146244824245146330173805752618322347743786006083603381124235736906550395234393254263120439818461927868718912625813984626373232963721227414134073604883817185548637572249179355852047324389904399223933731093261831634462944777678118001761525119855256891419072243289120025826819436307053150592104742828131519042880112634628104331523074609377712436269858049146132759969629320340121411365788526611712605643284334138159794073203131289685810040693983349876232939099239777073772831119019741183834887908933176284275618011936987230588179912949316332001705585570651447575969727534984758834240761987691124874535993522755778143596495848879162396858850052605002514307920334230203744205952227561131152492867652866172925080914988695204844251433681115657919194716312662579031131092958459124144082270596776932248953287716}
23243  50014630302358018552089323132912650055929824672852611171630426241764452471922: {905853,1277485,1532982,2158437,2276246,2575533,2992413,3251780,3365305,3902136,4038366,4292185,4389903,4645400,4657773,4755385,5073573,5150622,5226075,5574480,5706462,5871877,5946112,6271290,6689376,6707401,6734613,7401757,7525548,7563837,7629181,7911541,8224285,8746777,9072373,9147805,9869142,10070102,10138837,10898830,10968397,10977366,11436121,11465246,12016046,12271213,12359737,12375085,12521037,13078596,13755477,14385860,14577357,14585881,14802238,14850102,14946596,15039277,15398373,15808557,16053805,16533757,16752566,17165780,17263032,17430685,18118585,18143182,18596677,18696782,18840836,19082253,19264285,19264566,19402724,19420911,19789742,20138468,20516756,20598936,20637805,20866585,20878873,20916478,20916822,21352280,21375757,21730646,21742302,22151941,22656997,22695385,22923805,23117142,23173803,23236501,24021315,24079741,24293485,24765366,25039902,25050013,25622736,25698541,25992957,26117485,26378101,26915480,27234462,27508566,27552697,27750788,27919556,27929293,28240573,28271060,28769240,28825578,28890421,29152182,29626293,29978276,30279915,30934126,31043780,31235493,31340982,31576621,31637253,31640708,31645630,31770781,31800985,32298576,32365395,32492077,32654773,33354902,33502244,33925272,33958873,34043277,34399630,34523088,34720664,34981076,35642973,36174358,36329785,36335898,36742862,36840477,37252536,37517893,37678424,37911085,37974756,38050237,38161182,38165931,38281796,38337541,38588185,38831997,38838474,39060747,39337597,39885080,39898990,40273501,40548356,40818117,40829317,41272030,41279556,41909103,41968285,42007197,42293293,42388227,42835801,43317805,43595742,43881277,44615636,44707897,44870715,45386830,45391357,45493302,45562773,46301955,46305822,46744077,46962872,46996861,47056093,47336996,47349157,47649860,47651437,47862096,47878788,47923437,48029785,48409141,48911797,49149085,49388752,49526436,49870741,49884717,50069773,50361942,50462175,51058893,51855193,51981366,52500985,52648022,52833231,53011533,53158862,53241944,53431741,53596990,53645336,53826320,53844858,54464196,54554581,54633284,54688280,54764173,55121375,55398685,55496792,55562346,55676317,55982917,56733805,57179832,57205837,57468862,57489901,57635742,57649213,57672356,57675837,57944557,57999291,58336382,58416302,58834815,58978902,59177785,59198744,59897187,59951384,60095461,60351003,60418990,60448597,60554610,61268893,61395385,61524315,61763222,62059885,62180228,62256782,62433891,62693733,62757136,62853526,63001182,63431246,63864788,63907573,64316388,64327311,64493305,64591584,64613973,65028121,65414468,65464501,65625936,66145650,66478422,66480685,66571318,66598587,66922261,67222990,67334341,67445307,67624280,67798873,67803805,67881853,67947517,68024185,68080566,68446741,69046775,69475286,69696627,69785785,69961917,70005805,70555360,70601778,71013342,71076356,71102397,71190766,71306175,71619541,71840342,72240933,72330637,72502788,72560216,72620013,72665532,73159861,73674462,73789957,73829178,74134173,74431861,74471862,74889957,75211460,75503384,75506235,75659518,76059920,76077315,76124281,76752793,77124121,77391966,77578382,77860558,77900341,78412741,78449343,79064317,79374780,79406517,79776822,80156253,80294617,80539984,80667588,80685956,80915797,80976301,81149136,81364566,81629022,81630243,81653133,81827485,82128430,82389080,82400277,82504573,82773956,82856130,82972175,83280493,83382541,83451860,83742942,84006966,84099646,84264357,84666432,84733462,84941307,85029421,85090585,85380213,85567410,85751733,85833421,85967115,86190061,86393305,86440693,87121622,87204373,87367033,87526990,87754942,88047795,88379872,88425421,88546573,88938260,89427385,89439673,89888375,90253752,90561837,90607482,91075273,91271904,91292778,91381501,91448941,91666677,91672388,91698256,92080184,92687715,92885305,93136773,93316676,93392075,93449240,93731941,93790477,93917648,93991093,94175822,94859797,94916941,94969533,95249736,95274157,95603230,95902585,95911357,96136022,96796893,96809878,97161717,97547077,97586468,97691461,97764824,98192982,98290115,98554116,98638250,98723108,98866896,98888811,99427356,99458516,99566610,99885188,...,3625686995725252562870054405636705004977638229102550564201866061305996563415828115673642738720428429535676362683749240394671236865049086814214288386939810606568987298505699708355682197086230325565164533851932200962724019168066382745793109758227110557823302746155368021319556646401801947590948125533824753696277770695603506797714246370000834995283527928837688342338169074300053689501326905787512550717376642614944598037835928957228732205445925244123348320249444194280554714475190245192722277279183031618436677406569263462552833431429948732116886368764299179775966978765855907214217478327782152556714090927454899637319645932360850217166040724466269318152409535067872543826172203858291772590102877150589777976091890046707846831166588584832460011474661503793292915517041423350507274425357709161003883760636162370211737458918377153862211327416004892214622360693787302758120688330590457893100544703719467597185362880722466227880886699909980210526984953825206451202978996288227127885509099276169788370124528383463763918284912423010811442716017991655277396697376541518752437431379772051901711533154332292260756219357753740191113729270288174449154076920627856430288298544484594050995731462477178217716260533816291547615182555495217137042200383034460262141558578709789364786081093583185019939529427959486031285080680342136388922802590451808940525716163790956454940975755356066715500075198545684691520098426399757096932963129992379501945725130643633059299008001594935012844539944622260730392463921774508423459455200698524611609802793320277422326905558089749976013289242089026225772123886387424719895027256465295829614439908857009999663765442093232340441869203564690731429369080011167446566731004781365581336428514898328820933954551922611258063990722677519874333960028832148559244732758009337292096402947612553727442883621179983432707353850106954095203336631392194990685103745333879896813351601843981864478821318158655469210289508012984935916169732345961615081809371032832389376452816616144262487566776185676790490130227908984616953809511136163268827409504344677811950776700069760368649736187080988555426384449863988060851489094526186987043470010061853390451577969335304305956510260993531382973776638159081731848165963673193434673355064382455972513399728556545722347139711284925613158892151512179708582517968187061353777901258851473155738171661281904042604741476715568528250044724350295814502850822280794201749822483137746967762016613401297019005291745998731941755090268120258524399754052103243307599370122220947867789750902063913953829012680756051779498125862682661698719900201527628238330054155731492172337537756205777102929361565414313917567516064433980005894603701731773312312452419242775752883894106057990618247472496827471568364274643598430895502575776999229381098998518008602798802452984405434980954986613590477506492773085754837676480961134933138394395403531299973489612875746749783485415422025670191719367236367719495260708628927483521615679009125405071686353605359825592851589881394680659727692891803078368938720976939559849445581841121201110407325725778322956358373769033778070986584856598835900596639892747451694417166517177002642287679782885337128608364933680038740229154460579725888157114242197278564320168951942156497284611914066568654404787073719199139954443980510182117048682789917568908464926501207239691109804696934528715061040975024814349408648859665610659246678529611775752331863399764426413427017905480845882269869423974498002558378355977171363954591302477138251361142981536687311803990284133667215394743773318743595288275078907503771461880501345305616308928341341696728739301479299259387621372483042807266377150521673486878792074468993868546696639437688686216123405895165398373429931574}
23244  50193245821244125142927131757375226693194910693107703898399593263637743352152: {394859,951323,997643,1090259,1207804,1645283,1902482,2043976,2299473,2337443,2458034,2613803,2877916,2935859,3414369,3434044,3624659,3762203,3844394,3989884,3991283,4064725,4174403,4403123,4877670,5133683,5202848,5224859,5361563,5384488,5543723,5771243,5806750,5853204,6057549,6210364,6225683,6452603,6497963,6764764,6867496,6968100,7041659,7432640,7608616,7719659,7725933,8256554,8361720,8395859,8530883,8559693,8755763,8919168,8979484,9406935,9877163,10034064,10085116,10413659,10502963,10636859,10995434,11288322,11438723,11883083,12359474,12415259,12904082,13158856,13432043,13608443,13740659,14268803,14636488,14803713,15105153,15190283,15277859,15802643,16348245,16466049,16500563,16694716,16718243,17109563,17197869,17438128,17509994,17779634,17890259,17982325,18024069,18193163,18340636,18683245,19099523,19314803,19436476,19615859,19617894,19663082,19800136,20531164,20901659,20987123,21078076,21243323,21457225,21541859,21578790,21627083,22180259,22203357,22275153,22341482,22419894,22875434,23017376,23324843,23551045,23675282,24084659,24168923,24253405,24295259,25128849,25173085,25429043,25443004,25470923,25536554,25645945,25686088,25748670,25847483,25894548,26056403,26306843,26690350,26723603,26806859,27098003,27126314,27214773,27465248,27889096,28045173,28175963,28261254,28547843,28671659,28896849,28989736,29104086,29684613,30028883,30192803,30207702,30380581,30775134,30822856,30898404,31051283,31132859,31374717,31375233,31602482,32028083,32028420,32352659,32474243,32595969,32613453,32968621,33020488,33242603,33386536,33484643,33644350,34048283,34163648,34216082,34289363,34570259,34657276,34675713,34688485,34737074,34899445,35170859,35338825,35769659,35961550,35968859,36296594,36312616,36507757,36678088,37041083,37080683,37148049,37436723,37472845,37559853,37673723,38146859,38434104,38804725,38815163,38869576,39501724,39520259,39550885,39793763,39910859,40373220,40851693,41092513,41155403,41262849,41626182,41647324,41787976,41877805,41879334,42183004,42406590,42430259,42814859,43064768,43153860,43215158,43238367,43250282,43400830,43505123,43726345,43728273,43761194,44040203,44154659,44967414,45035954,45105659,45219443,45233696,45391036,46030784,46401189,46541603,46560914,46565670,46586701,46692083,46939669,47011473,47098030,47105243,47461062,47468445,47523964,47816603,47852245,48115259,48447864,48559693,48933923,49045259,49090994,49120636,49230659,49489883,49670048,49856350,50032353,50253366,50633008,50685445,50706659,50853482,50881576,50887908,51355754,51366683,51599445,51775996,51784632,51798901,52080996,52457461,52471614,52787843,53343697,53980859,54107954,54261537,54268763,54424156,54503847,54912494,55039408,55114293,55343843,55664963,55769545,55878804,56009596,56406493,56517636,56659859,56962134,57241773,57260843,57296123,57422694,57824363,57894659,58127656,58140443,58257711,58703590,58770659,58945259,59049923,59171245,59293859,59560082,59562325,59827620,59848485,59988659,60657736,60750364,60822534,60921563,61735940,61741096,61780163,61782358,61882859,61908045,61919334,62156363,62325436,62749034,62803883,63037117,63075659,63490189,63816128,63820403,63838384,63897916,64494083,64997243,65030723,65331683,65393613,65931659,66035248,66065461,66330203,66512956,66552430,66656473,66923454,67056670,67149256,67282900,67321523,67607594,68078524,68080245,68239953,68291605,68360350,68566859,68957723,69308488,69370990,69379859,69458733,69541859,69865259,70026659,70444308,70445363,70472486,70682044,71005494,71474790,71793144,71818182,71884283,72090445,72170123,72328643,72618928,73275563,73369859,73840259,73934123,73998430,74075282,74083128,74215283,74246483,74289654,74713523,74868803,74939230,75542913,75611363,76103843,76239776,76294933,76847656,76901116,77082659,77174003,77332388,77725285,77972049,78093674,78446420,78638536,78972033,79344659,79738293,79830985,79862916,80235974,80395485,80444003,80468004,80570161,80621243,80739480,80767287,81033683,81138482,81415259,81696294,81768085,81853859,81949926,82032420,82177942,82418941,83245188,83343519,83504123,83590259,83591644,83647643,83733659,83927474,84001576,84530350,84533003,85523363,85544221,85755184,85769748,86122112,86151964,86203293,86453613,86476043,86508534,86559659,87032123,87151129,87198323,87384554,87447083,87474683,87501248,87504573,87624453,87860243,88194200,88298963,88353659,88435643,88468353,88544843,88637896,88758314,88762859,88798116,88845445,88953203,89439973,89575859,89925923,89927076,90301403,90328163,90354482,90381659,90461843,90628485,90648659,90700270,90774088,90809234,90831915,91047659,91127243,91365563,91497683,92547443,92644833,92703803,92928836,93145259,93270342,93282556,93385173,93403859,93790259,93871246,94014325,94135704,94226003,94280289,94379230,94501773,94569013,94684456,94761083,94803196,95074900,95146869,95393483,95457142,95519363,95797182,96120803,96270443,96321244,96444659,96474582,96568859,96670384,96816659,96826684,96887376,97383563,97677659,97784234,97970603,98121702,98232616,98359403,98438904,98845564,99218475,99295816,99370259,99717633,99783314,99853276,99856977,99917843,...,5438530493587878844305081608455057507466457343653825846302799091958994845123742173510464108080642644303514544025623860592006855297573630221321432580409715909853480947758549562533523295629345488347746800777898301444086028752099574118689664637340665836734954119233052031979334969602702921386422188300737130544416656043405260196571369555001252492925291893256532513507253611450080534251990358681268826076064963922416897056753893435843098308168887866185022480374166291420832071712785367789083415918774547427655016109853895193829250147144923098175329553146448769663950468148783860821326217491673228835071136391182349455979468898541275325749061086699403977228614302601808815739258305787437658885154315725884666964137835070061770246749882877248690017211992255689939373275562135025760911638036563741505825640954243555317606188377565730793316991124007338321933541040680954137181032495885686839650817055579201395778044321083699341821330049864970315790477430737809676804468494432340691828263648914254682555186792575195645877427368634516217164074026987482916095046064812278128656147069658077852567299731498438391134329036630610286670593905432261673731115380941784645432447816726891076493597193715767326574390800724437321422773833242825705563300574551690393212337868064684047179121640374777529909294141939229046927621020513204583384203885677713410788574245686434682411463633034100073250112797818527037280147639599635645399444694988569252918587695965449588948512002392402519266809916933391095588695882661762635189182801047786917414704189980416133490358337134624964019933863133539338658185829581137079842540884697943744421659863285514999495648163139848510662803805347036097144053620016751169850096507172048372004642772347493231400931827883916887095986084016279811500940043248222838867099137014005938144604421418830591164325431769975149061030775160431142805004947088292486027655618000819845220027402765972796718231977237983203815434262019477403874254598518942422622714056549248584064679224924216393731350164278515185735195341863476925430714266704244903241114256517016717926165050104640552974604280621482833139576674795982091277233641789280480565205015092780085677366954002956458934765391490297074460664957238622597772248945509790152010032596573683958770099592834818583520709566927388419738338227268269562873776952280592030666851888277209733607257491922856063907112215073352792375067086525443721754276233421191302624733724706620451643024920101945528507937618998097912632635402180387786599631078154864961399055183331421801684626353095870930743519021134077669247188794023992548079850302291442357495081233597238258506306634308665654394042348121470876351274096650970008841905552597659968468678628864163629325841159086985927371208745241207352546411965397646343253863665498844071648497777012904198203679476608152471432479920385716259739159628632256514721441702399707591593105296949960234419313620124675228123133038505287579050854551579242891062943391225282423518513688107607529530408039738389277384822092020989591539337704617553408081465409339774168372761681801665610988588667484434537560653550667106479877284898253850894959839121177541625749775765503963431519674328005692912547400520058110343731690869588832235671363295917846480253427913234745926917871099852981607180610578798709931665970765273175573024184876353362697389751810859536664707045401793072591561462537221524112973289498415988870017794417663628497795099646639620140526858221268823404804135961747003837567533965757045931886953715707377041714472305030967705985426200500823092115659978115392932412618361255657192820752017958424463392512012545093108952218948889081432058724564210899565725782510230318188111703490802820044959156533029324185108842748097560144897361}
23245  50372495039620771396739061972827486953883205172733424263172544907246922698086: {1509755,1788479,1811706,2554970,2853723,3065964,3597395,3687051,4292555,4316874,4552492,4711427,4987355,5151066,5766591,5984826,6009059,6503560,6657539,6730610,6939491,7316505,7496507,7762955,7804272,7912223,8076732,8455955,8584370,8710125,8747531,8779806,9290800,9315546,9350003,9441179,9510770,10139711,10147146,10301244,10452150,11148960,11224355,11412924,11513999,11743754,11892224,12224819,12384831,12542580,12606395,12781547,12806927,12962651,13378752,13414802,13469226,14803514,15051096,15127674,15258362,15549083,15823082,16301867,16448570,16493151,16932483,17074079,17325119,17493554,17773691,18144746,18295610,18539211,19356123,19738284,20140204,20277674,20868395,21797660,21936794,21954732,21977891,22475327,22872242,22925795,22930492,23335211,24024179,24032092,24295595,24402959,24542426,24719474,24750170,25042074,25366019,25663955,25970207,26157192,26207423,26264991,26347595,26669451,26776451,26969999,27510954,28771720,28892927,28896731,29154714,29171762,29213219,29426841,29452883,29481407,29494623,29604476,29700204,29893192,30078554,30371003,30796746,31617114,31773539,31803755,32093327,32107610,32368185,33067514,33505132,33512223,33629841,33754319,34010879,34313151,34331560,34526064,34861370,35144339,35512923,36237170,36286364,36496511,36564479,37193354,37393564,37681672,38143019,38164506,38304831,38528570,38529132,38623005,38805448,38841822,39579484,40035525,40276936,40689471,41033512,41197872,41275610,41366303,41733170,41757746,41832956,41833644,42050831,42391881,42704560,42751514,42820991,43321595,43461292,43484604,43656129,44303882,44521379,45308003,45311553,45313994,45390770,45847610,45898523,46162701,46234284,46347606,46473002,47403723,47875307,48042630,48159482,48586970,48916043,48993731,49377155,49530732,50079804,50100026,50466525,50861699,50937743,51245472,51324123,51397082,51859691,51985914,52059155,52105611,52234970,52728755,52756202,53075519,53644331,53830960,53942325,54023459,54444891,54468924,55017132,55105394,55501576,55737887,55839112,55858586,56445983,56481146,56542120,56738795,57210803,57538480,57651156,57780842,57804851,57880643,58304364,58713791,58755599,59252586,59404955,59516063,59956552,60559830,60644927,60954443,60972767,61400795,61576499,61868252,62087560,62439273,62470986,62681964,62819001,63146603,63153242,63274506,63281416,63291260,63541562,63601970,63609885,64597152,64719995,64730790,64822737,64875423,64984154,65101245,65309546,65641791,66709804,67004488,67241699,67451121,67553931,67850544,67917746,68030195,68086554,68452703,68479931,68799260,68808719,69046176,69231083,69441328,69512819,69841371,69848505,69962152,70011995,70618943,70647045,71191593,71285946,71426111,71439251,72348716,72659570,72671796,72839519,73166207,73485724,73501379,73636491,73680954,74505072,74782523,74784525,75035786,75356848,75380049,75775211,75822170,75937955,75949512,76100474,76280223,76322364,76331862,76563592,76675082,77033631,77169925,77176370,77558159,77663994,77676948,77906795,77907107,78121494,78675194,78707421,78917003,79427327,79770160,79797980,79872395,80125583,80301611,80547002,80891603,81096712,81161931,81636234,81658634,82368741,82544060,82559112,82561979,82848899,83141195,83818206,83936570,84014394,84103625,84586586,84776454,85098155,85443201,85671602,85953539,86134041,86197547,86448191,86635610,86883839,87065087,87191484,87762554,88055385,88352555,89231272,89340123,89415794,89741430,90290627,90773660,90782714,90893519,90986604,91125546,91233801,92603910,92611644,92669603,92673537,92879001,93072959,93158267,93488154,93798683,93925744,93993722,94112186,94123551,94479179,94673992,94698314,94925327,95233859,95299720,95302874,95724192,95757576,95846874,95919683,96059570,96126395,96665485,96818282,97463711,97700099,97823594,98008127,98058025,98298170,98543003,98777504,99052872,99741482,99769434,99828645,...,7251373991450505125740108811273410009955276458205101128403732122611993126831656231347285477440856859071352725367498480789342473730098173628428576773879621213137974597011399416711364394172460651130329067703864401925448038336132765491586219516454221115646605492310736042639113292803603895181896251067649507392555541391207013595428492740001669990567055857675376684676338148600107379002653811575025101434753285229889196075671857914457464410891850488246696640498888388561109428950380490385444554558366063236873354813138526925105666862859897464233772737528598359551933957531711814428434956655564305113428181854909799274639291864721700434332081448932538636304819070135745087652344407716583545180205754301179555952183780093415693662333177169664920022949323007586585831034082846701014548850715418322007767521272324740423474917836754307724422654832009784429244721387574605516241376661180915786201089407438935194370725761444932455761773399819960421053969907650412902405957992576454255771018198552339576740249056766927527836569824846021622885432035983310554793394753083037504874862759544103803423066308664584521512438715507480382227458540576348898308153841255712860576597088969188101991462924954356435432521067632583095230365110990434274084400766068920524283117157419578729572162187166370039879058855918972062570161360684272777845605180903617881051432327581912909881951510712133431000150397091369383040196852799514193865926259984759003891450261287266118598016003189870025689079889244521460784927843549016846918910401397049223219605586640554844653811116179499952026578484178052451544247772774849439790054512930591659228879817714019999327530884186464680883738407129381462858738160022334893133462009562731162672857029796657641867909103845222516127981445355039748667920057664297118489465516018674584192805895225107454885767242359966865414707700213908190406673262784389981370207490667759793626703203687963728957642636317310938420579016025969871832339464691923230163618742065664778752905633232288524975133552371353580980260455817969233907619022272326537654819008689355623901553400139520737299472374161977110852768899727976121702978189052373974086940020123706780903155938670608611913020521987062765947553276318163463696331927346386869346710128764911945026799457113091444694279422569851226317784303024359417165035936374122707555802517702946311476343322563808085209482953431137056500089448700591629005701644561588403499644966275493935524033226802594038010583491997463883510180536240517048799508104206486615198740244441895735579501804127827907658025361512103558996251725365323397439800403055256476660108311462984344675075512411554205858723130828627835135032128867960011789207403463546624624904838485551505767788212115981236494944993654943136728549287196861791005151553998458762197997036017205597604905968810869961909973227180955012985546171509675352961922269866276788790807062599946979225751493499566970830844051340383438734472735438990521417257854967043231358018250810143372707210719651185703179762789361319455385783606156737877441953879119698891163682242402220814651451556645912716747538067556141973169713197671801193279785494903388834333034354005284575359565770674257216729867360077480458308921159451776314228484394557128640337903884312994569223828133137308809574147438398279908887961020364234097365579835137816929853002414479382219609393869057430122081950049628698817297719331221318493357059223551504663726799528852826854035810961691764539738847948996005116756711954342727909182604954276502722285963073374623607980568267334430789487546637487190576550157815007542923761002690611232617856682683393457478602958598518775242744966085614532754301043346973757584148937987737093393278875377372432246811790330796746859863148}
23246  50552380190993152047907856393771446498743567142142820232350224934264684669313: {441313,789718,858733,997729,1691629,1830193,1902646,1995286,2180518,2383729,2415608,2717559,3290566,3804964,3832455,4087952,4449229,4598946,4674886,4916068,5227606,5270893,5690615,5755832,5871718,6475311,6498529,6828738,6868088,7249318,7524406,7688788,7726599,7979768,7982566,8129450,8348806,8806246,8977239,9755340,10012273,10095915,10267366,10405696,10449718,10548529,10723126,10768976,11087446,11542486,11613500,11706408,12115098,12416353,12420728,12451366,12876555,12905206,12995926,13080013,13169709,13529528,13734992,13741873,13936200,13973319,14083318,14266155,14865280,15191629,15217232,15220719,15439318,15451866,15678225,16513108,16723440,16791718,17061766,17119386,17511526,17615631,17838336,17958968,18813870,19617613,19754326,20068128,20122203,20170232,20203839,20827318,21005926,21273718,21543793,21990868,22205271,22576644,22691511,22877446,22887543,23734623,23766166,24086833,24213229,24672855,24718093,24718948,24830518,24844129,25175255,25473229,25808164,26156543,26240331,26317712,26864086,27216886,27217119,27247075,27443415,27474253,27481318,28537606,28591729,28663115,29272976,29607426,30040115,30210306,30380566,30416511,30555718,31176493,31543153,31605286,31787233,32396173,32696490,32905191,32932098,32971463,33001126,33389432,33436486,33954767,34219126,34308363,34395738,34573453,34876256,35019988,35242319,35559268,35772973,35780518,35904323,35964650,36012013,36048138,36386326,36681272,36813639,37005595,37079211,37084129,37125255,37366490,37558753,37563111,37677229,37795633,38199046,38629606,38872952,39231718,39235788,39326164,39600272,39914593,41062328,41198029,41266431,41803318,41881415,41974246,42156152,42472753,42486646,42914450,43083718,43145531,43157580,43254166,43509229,43732071,43757643,44082529,44196973,44360518,44406714,44550306,44682964,44839788,45117831,45357955,45750868,45904993,46034752,46195119,46649686,46741955,47102090,47350564,47425671,47933233,48161415,48169318,48337846,48506810,48563879,48590518,48859223,49049953,49474355,49601271,49827373,50257698,50346170,50711533,50858086,50886008,50941846,51073108,51291890,51371629,51372176,51497340,51694966,51789096,51919729,52112806,52291195,52292055,52461983,52575073,52613686,53380700,53447206,53613718,54196006,54252628,54326615,54355755,54429546,54525553,54930496,55170529,55371239,55706029,55778192,55790031,56090346,56351926,56522508,56665393,57095686,57246759,57301729,57343318,57792855,57793698,57979472,58208172,58251373,58262733,58628927,58776433,59369226,60057766,60385606,60415404,60761162,61216883,61550268,61645712,61796808,61913415,62102566,62265718,62599755,62636619,62749434,62750466,63042551,63204964,64056166,64056840,64127271,64433293,64568383,64705318,64948486,65037229,65191938,65226906,65937242,66040976,66137713,66455823,66485206,66662219,66773072,66969286,66993143,67288700,67970991,68018029,68086155,68096566,68327296,68432164,68578726,68606413,68771415,69140518,69314552,69351426,69376970,69474148,69521409,69581293,69709503,69798890,69872353,70066033,70341718,70677650,70959623,71317933,71413729,71539318,71923100,71937718,72063945,72239223,72593188,72625232,72880455,72936673,73015514,73356176,73408813,73755979,74082166,74161366,74254129,74296098,74498411,74873446,74945690,75119706,75150039,75347446,76293718,76868208,77095623,77335315,77394913,77609450,77630326,77739152,77978871,78077363,78352455,79003448,79040518,79101770,79114075,79134303,79382833,79587526,79651213,79821718,80746440,81071629,81703386,81862513,82185026,82310806,82525698,82658091,82839743,83252364,83294648,83387255,83575952,83755610,83758668,83787879,84366008,84721719,84813180,84860518,85306993,85629718,85999075,86129536,86307720,86430316,86476734,86500564,86652529,86671263,86801660,87010246,87452690,87456546,87484129,87522388,87566893,88080406,88309318,88390573,88718029,88878879,89934828,90071908,90166739,90211318,90338029,90435895,90438886,90467392,90658573,90782072,90839745,91137229,91534129,91857155,92061568,92115287,92244013,92714029,92792113,92802378,93083206,93121828,93131340,93173402,93384166,93706479,93800653,93879338,94022946,94196060,94210486,94262029,94729863,94911759,94922124,94936890,95047928,95312343,95402955,95404129,95608247,95633206,95704490,96230518,96455473,96604513,96895728,97096185,97119386,97404203,97476231,97867846,97964319,98090518,98181988,98241272,98370529,98461318,98979766,99094129,99340096,99381553,99712700,99747475,...,10877060987175757688610163216910115014932914687307651692605598183917989690247484347020928216161285288607029088051247721184013710595147260442642865160819431819706961895517099125067046591258690976695493601555796602888172057504199148237379329274681331673469908238466104063958669939205405842772844376601474261088833312086810520393142739110002504985850583786513065027014507222900161068503980717362537652152129927844833794113507786871686196616337775732370044960748332582841664143425570735578166831837549094855310032219707790387658500294289846196350659106292897539327900936297567721642652434983346457670142272782364698911958937797082550651498122173398807954457228605203617631478516611574875317770308631451769333928275670140123540493499765754497380034423984511379878746551124270051521823276073127483011651281908487110635212376755131461586633982248014676643867082081361908274362064991771373679301634111158402791556088642167398683642660099729940631580954861475619353608936988864681383656527297828509365110373585150391291754854737269032434328148053974965832190092129624556257312294139316155705134599462996876782268658073261220573341187810864523347462230761883569290864895633453782152987194387431534653148781601448874642845547666485651411126601149103380786424675736129368094358243280749555059818588283878458093855242041026409166768407771355426821577148491372869364822927266068200146500225595637054074560295279199271290798889389977138505837175391930899177897024004784805038533619833866782191177391765323525270378365602095573834829408379960832266980716674269249928039867726267078677316371659162274159685081769395887488843319726571029998991296326279697021325607610694072194288107240033502339700193014344096744009285544694986462801863655767833774191972168032559623001880086496445677734198274028011876289208842837661182328650863539950298122061550320862285610009894176584972055311236001639690440054805531945593436463954475966407630868524038954807748509197037884845245428113098497168129358449848432787462700328557030371470390683726953850861428533408489806482228513034033435852330100209281105949208561242965666279153349591964182554467283578560961130410030185560171354733908005912917869530782980594148921329914477245195544497891019580304020065193147367917540199185669637167041419133854776839476676454536539125747553904561184061333703776554419467214514983845712127814224430146705584750134173050887443508552466842382605249467449413240903286049840203891057015875237996195825265270804360775573199262156309729922798110366662843603369252706191741861487038042268155338494377588047985096159700604582884714990162467194476517012613268617331308788084696242941752702548193301940017683811105195319936937357257728327258651682318173971854742417490482414705092823930795292686507727330997688143296995554025808396407358953216304942864959840771432519478319257264513029442883404799415183186210593899920468838627240249350456246266077010575158101709103158485782125886782450564847037027376215215059060816079476778554769644184041979183078675409235106816162930818679548336745523363603331221977177334968869075121307101334212959754569796507701789919678242355083251499551531007926863039348656011385825094801040116220687463381739177664471342726591835692960506855826469491853835742199705963214361221157597419863331941530546351146048369752706725394779503621719073329414090803586145183122925074443048225946578996831977740035588835327256995590199293279240281053716442537646809608271923494007675135067931514091863773907431414754083428944610061935411970852401001646184231319956230785864825236722511314385641504035916848926785024025090186217904437897778162864117449128421799131451565020460636376223406981605640089918313066058648370217685496195120289794722}
23247  50732903516686835723623875731432916590759596451282318753981836343827065337718: {1184577,2113657,2853969,2992929,3019510,3270777,3576958,3623412,4756205,4935849,5036353,5109940,5707446,6009577,6131928,6145085,6898419,6982297,7012329,7194790,7374102,7841409,8378449,8585110,8633748,8807577,9104984,9350809,9422854,9610985,9974710,10243107,10302132,10868137,10873977,11157757,11286609,11438093,11533182,11838337,11969652,11973849,11988713,12018118,12194175,12273329,12523209,13007120,13209369,13315078,13461220,13663033,13878982,14516875,14633010,14993014,15401049,15525910,15608544,15674577,15714097,15824446,16084689,16153464,16162733,16631169,16911910,17168740,17313729,17420250,17495062,17559612,17648953,18172647,18376189,18581600,18631092,18677049,18700006,18882358,19021540,19357809,19493889,19501949,20178457,20279422,20294292,20602488,20641385,20904300,21124977,22297920,22448710,22825848,23027998,23158977,23177799,23487508,23784448,24449638,24769662,25085160,25187577,25212790,25563094,25592649,25613854,25679079,25925302,26267289,26757504,26829604,26850553,26938452,27488585,27952913,28220805,29215753,29607028,29631489,30102192,30255348,30516724,30889609,30898685,30972409,31098166,31240977,31508889,31646164,31723837,31910577,32096113,32260205,32603734,32897140,32986302,33864966,34013833,34148158,34316169,34650238,34810193,34987108,35547382,35649249,35929537,36289492,36591220,36858697,36886633,37078422,37245777,37839593,38712246,39476568,39625049,40280408,40296129,40555348,40825329,41221977,41736790,42630433,42806409,43595320,43774985,43873588,43888889,43909464,43955782,44407757,44411139,44449085,44525257,44627393,44950654,45315459,45399233,45570849,45744484,45833577,45851590,45860984,46670422,47407929,48048358,48064184,48591190,48805918,48887449,49044735,49084852,49157705,49398147,49438948,49500340,49501689,49925513,50084148,50154729,50732038,51327910,51328689,51441473,51593607,51940414,52314384,52372609,52414846,52529982,52695190,53338902,53552902,53670777,53939998,53946975,54072207,54243709,54579489,55021908,55853705,56049735,56890937,57188585,57298569,57371497,57543440,57785854,57793462,57809869,57944409,58309428,58343524,58426438,58464173,58847577,58853682,58905766,58956689,58962814,58989246,59188205,59208952,59400408,59786384,60157108,60650233,60704089,60742006,61593492,62704977,62961369,63234228,63547078,63607510,63729969,63841385,64186654,64215220,64371675,64625577,64736370,64881249,65475857,66135028,66460889,66540777,66610071,66708889,66725875,66825459,67010264,67024446,67259682,67508638,67611913,67709693,67810637,67815785,68021758,68626302,68663120,68820793,69052128,69128017,69722740,69974529,70288678,70653135,71025846,72037069,72253977,72474340,72506769,72572728,72608209,72747137,72760215,72882817,72885777,72993022,73128958,73820257,73945289,74386708,74787128,74807633,75363344,75386547,75519255,76286038,76287129,76329012,76412769,76609662,76937835,77057140,77058264,77246010,77542449,77610896,77683644,78169209,78920529,79006205,79158968,79434313,80071050,80170809,80420577,80553872,80898649,81294009,81378942,81644319,82067024,82395744,82551220,82732606,83166937,83466340,83515492,83665912,83667288,84101662,84110875,84135519,84353933,84527889,84783762,85409120,85503028,85540205,85641982,85643529,85961113,86014977,86643190,86690547,86842685,86922584,86969208,87072649,87312258,87707513,88561937,88607764,88768577,89042758,89053839,89903875,90086649,90179417,90341273,90578409,90607993,90616006,90623106,90627988,90741485,90781540,91141743,91695220,91700813,91797046,92275153,92325402,92468568,92695212,92946004,93153849,93265549,93398577,94124151,94125699,94807446,95242273,95750614,96084249,96085260,96279689,96318964,96837113,97057977,97173940,97422729,97787907,97832086,97840359,97987462,98016793,98754310,98905863,99061464,99727809,...,16315591480763636532915244825365172522399372030961477538908397275876984535371226520531392324241927932910543632076871581776020565892720890663964297741229147729560442843275648687600569886888036465043240402333694904332258086256298722356068993912021997510204862357699156095938004908808108764159266564902211391633249968130215780589714108665003757478775875679769597540521760834350241602755971076043806478228194891767250691170261680307529294924506663598555067441122498874262496215138356103367250247756323642282965048329561685581487750441434769294525988659439346308991851404446351582463978652475019686505213409173547048367938406695623825977247183260098211931685842907805426447217774917362312976655462947177654000892413505210185310740249648631746070051635976767069818119826686405077282734914109691224517476922862730665952818565132697192379950973372022014965800623122042862411543097487657060518952451166737604187334132963251098025463990149594910947371432292213429030413405483297022075484790946742764047665560377725586937632282105903548651492222080962448748285138194436834385968441208974233557701899194495315173402987109891830860011781716296785021193346142825353936297343450180673229480791581147301979723172402173311964268321499728477116689901723655071179637013604194052141537364921124332589727882425817687140782863061539613750152611657033140232365722737059304047234390899102300219750338393455581111840442918798906936198334084965707758755763087896348766845536007177207557800429750800173286766087647985287905567548403143360752244112569941248400471075011403874892059801589400618015974557488743411239527622654093831233264979589856544998486944489419545531988411416041108291432160860050253509550289521516145116013928317042479694202795483651750661287958252048839434502820129744668516601297411042017814433813264256491773492976295309925447183092325481293428415014841264877458082966854002459535660082208297918390154695931713949611446302786058432211622763795556827267868142169647745752194037674772649181194050492835545557205586025590430776292142800112734709723342769551050153778495150313921658923812841864448499418730024387946273831700925367841441695615045278340257032100862008869376804296174470891223381994871715867793316746836529370456030097789721051876310298778504455750562128700782165259215014681804808688621330856841776092000555664831629200821772475768568191721336645220058377125201259576331165262828700263573907874201174119861354929074760305836585523812856994293737897906206541163359798893234464594884197165549994265405053879059287612792230557063402233007741566382071977644239550906874327072485243700791714775518919902925996963182127044364412629053822289952910026525716657792979905406035886592490887977523477260957782113626235723622057639235896192939029761590996496532214945493331038712594611038429824457414297439761157148779217478885896769544164325107199122774779315890849880703257940860374025684369399115515862737152563654737728673188830173675847270555541064322822588591224119215167832154466276062968774618013113852660224244396228019322505118285045404996832965766002453303612681960652001319439631854694761552684879517363532624877249327296511890294559022984017078737642201560174331031195072608766496707014089887753539440760283739704237780753613299558944821541831736396129794997912295819526719072554629060088092169255432578609994121136205379217774684387611664572338919868495247966610053383252990885493385298939918860421580574663806470214412407885241011512702601897271137795660861147122131125143416915092903117956278601502469276346979934346178797237855083766971578462256053875273390177536037635279326856656846667244296176173692632698697177347530690954564335110472408460134877469599087972555326528244292680434692083}
23248  50914067265874967055151026450760470890139384363287094120641552875464707757222: {882626,1090447,1368151,1579436,1717466,1995458,2061151,3028327,3383258,3441751,3660386,3805292,3854527,3990572,4361036,4403887,4529265,4767458,4831216,5225767,5365437,5435118,6387425,6581132,7133407,7609928,7664910,7946647,7966861,8175904,8561169,8892151,8898458,9197892,9349772,9832136,9834127,10455212,10504807,10541786,10792185,10906351,11061153,11381230,11511664,11574151,11743436,11840767,12638887,12877665,12904351,12950622,12997058,13657476,13736176,14134281,14498636,14962065,15048812,15280567,15377576,15453198,15959536,15965132,16258900,16697612,16826525,17299773,17612492,17954478,18027177,18801151,19189087,19510680,19705327,19972617,20024546,20191830,20534732,20811392,20818473,20899436,20990887,21097058,21446252,21460925,21537952,21630967,21758767,21949515,22174892,22489521,22651351,23084972,23227000,23288865,23412816,23736669,23776925,24173287,24230196,24832706,24841456,24902732,25367865,25753110,25810412,25991852,26061127,26130375,26160026,26242593,26339418,26811727,27059056,27469984,27483746,27872400,27946638,28050009,28166636,28323537,28532310,28924351,29359385,29730560,29911327,30383258,30419133,30434464,30441438,30771151,30878636,30903732,31138567,31356450,32236927,32844607,33026216,33446880,33537005,33583436,33673065,34123532,34238772,34541997,34656847,35023052,35231262,35245357,35377207,35676672,35917936,36674457,37008785,37154493,37627740,37819185,38145905,38344641,38420781,38887953,39235226,39508652,39527647,39557705,39996367,40128361,40136256,40244406,40340464,40407678,40580647,40697287,41121425,41163127,41654636,42011852,42056161,42091351,42547436,43014967,43087586,43733885,43819351,43981736,44391751,44410542,45153288,45190087,45361865,45383022,45739025,45754892,45775086,46647249,47001607,47469246,47532332,47563927,47740913,48173666,48348151,48426458,48905601,49128847,49345710,49436186,49437896,49479453,49661036,49688258,50016751,50350510,50694185,50789887,50797449,50946458,50990173,51120151,51222237,51449767,51616328,51807833,51975357,52313086,52434727,52480662,52635424,53321073,53728172,53847151,54063367,54433772,54434238,54494150,54841985,54886830,54948506,54962636,55461751,55617633,56209687,57075212,57180605,57183458,57326230,57906007,58068369,58545952,58633981,58642351,59214852,60080230,60420612,60726751,60761132,60833022,61111436,61356065,61798685,61875425,62352986,62605185,62782351,63086306,63210572,63501137,63574466,64573949,64792346,65010247,65110687,65392980,65438737,65810382,65811751,65864196,65933673,65942926,66002252,66310351,66778864,66807151,66872972,67425981,67598287,67909534,68438252,68616726,68777385,68791476,69146906,69264097,69750151,69752512,70005633,70039976,70484638,71118536,71545946,71561036,71808646,71867167,71929300,71962567,72024026,72072537,72096276,72772652,72886785,72929405,73207673,73208877,73362544,73573351,73627278,73762337,74011190,74158422,74168258,74230567,74250510,74504833,74732980,75117506,75126222,75196385,75354458,75591266,75904351,76057261,76098057,76181047,76308089,76398092,76824151,76991865,77259212,77745904,77910621,78371287,78463436,78471576,78622269,78652328,78794973,78912367,79042785,79200544,79829186,80008353,80164807,80253727,80269025,80329353,80909997,81315151,81398273,82017007,82124656,82191751,82396058,82433153,82532862,82668785,83061151,83606636,83665447,83762830,83948492,84312304,84607927,84945506,84973292,85033447,85828900,86167436,86291062,86315160,86508332,86678781,86690193,87018458,87153425,87166157,87464142,87515286,87639657,88165058,88280523,88358649,88372807,88393946,88444221,88483869,88721036,88813428,89100612,89365928,89595367,89679576,90160351,90235662,90401407,90592925,90715910,91113009,91501736,91809986,92069504,92390238,92541751,92983385,93299372,93476167,93483910,93708151,94204180,94629607,94701128,94851342,95238151,95320617,95411265,95866466,96279981,96321425,96322830,96338636,96675692,96887887,97013620,97104555,97127758,97181036,97626247,97718446,97846351,98099906,98720287,98948710,99202542,99297151,99440647,99654746,99655351,99770297,...,21754121974351515377220326433820230029865829374615303385211196367835979380494968694041856432322570577214058176102495442368027421190294520885285730321638863639413923791034198250134093182517381953390987203111593205776344115008398296474758658549362663346939816476932208127917339878410811685545688753202948522177666624173621040786285478220005009971701167573026130054029014445800322137007961434725075304304259855689667588227015573743372393232675551464740089921496665165683328286851141471156333663675098189710620064439415580775317000588579692392701318212585795078655801872595135443285304869966692915340284545564729397823917875594165101302996244346797615908914457210407235262957033223149750635540617262903538667856551340280247080986999531508994760068847969022759757493102248540103043646552146254966023302563816974221270424753510262923173267964496029353287734164162723816548724129983542747358603268222316805583112177284334797367285320199459881263161909722951238707217873977729362767313054595657018730220747170300782583509709474538064868656296107949931664380184259249112514624588278632311410269198925993753564537316146522441146682375621729046694924461523767138581729791266907564305974388774863069306297563202897749285691095332971302822253202298206761572849351472258736188716486561499110119637176567756916187710484082052818333536815542710853643154296982745738729645854532136400293000451191274108149120590558398542581597778779954277011674350783861798355794048009569610077067239667733564382354783530647050540756731204191147669658816759921664533961433348538499856079735452534157354632743318324548319370163538791774977686639453142059997982592652559394042651215221388144388576214480067004679400386028688193488018571089389972925603727311535667548383944336065119246003760172992891355468396548056023752578417685675322364657301727079900596244123100641724571220019788353169944110622472003279380880109611063891186872927908951932815261737048077909615497018394075769690490856226196994336258716899696865574925400657114060742940781367453907701722857066816979612964457026068066871704660200418562211898417122485931332558306699183928365108934567157121922260820060371120342709467816011825835739061565961188297842659828954490391088995782039160608040130386294735835080398371339274334082838267709553678953352909073078251495107809122368122667407553108838934429029967691424255628448860293411169500268346101774887017104933684765210498934898826481806572099680407782114031750475992391650530541608721551146398524312619459845596220733325687206738505412383483722974076084536310676988755176095970192319401209165769429980324934388953034025226537234662617576169392485883505405096386603880035367622210390639873874714515456654517303364636347943709484834980964829410185647861590585373015454661995376286593991108051616792814717906432609885729919681542865038956638514529026058885766809598830366372421187799840937677254480498700912492532154021150316203418206316971564251773564901129694074054752430430118121632158953557109539288368083958366157350818470213632325861637359096673491046727206662443954354669937738150242614202668425919509139593015403579839356484710166502999103062015853726078697312022771650189602080232441374926763478355328942685453183671385921013711652938983707671484399411926428722442315194839726663883061092702292096739505413450789559007243438146658828181607172290366245850148886096451893157993663955480071177670654513991180398586558480562107432885075293619216543846988015350270135863028183727547814862829508166857889220123870823941704802003292368462639912461571729650473445022628771283008071833697853570048050180372435808875795556325728234898256843598262903130040921272752446813963211280179836626132117296740435370992390240579589444}
23249  51095873695605562785219982834565851823357498105794281261890457067361539192447: {1323939,1974295,2369154,2576199,2810467,2993187,4227314,4756615,4988215,5074887,5451295,5490579,5707938,5985858,6039020,6541554,6658687,7151187,7153916,7246824,7403671,8152677,8226415,8603119,9074719,9442807,9512410,9871698,10072706,10219880,10461847,11414892,11439079,11497365,11687215,12019154,12226927,12263856,12274387,12290170,12783751,13069015,13347687,13455379,13796838,13964594,14024658,14168479,14389580,14679295,14748204,15472399,15682818,15812679,16756898,16951159,17071845,17170220,17267496,17615154,18064231,18093427,18123295,18209968,18701618,18811015,18845708,19221970,19425933,19495587,19733839,19949420,19956415,20125171,20323625,20486214,20604264,20846911,20872015,21736274,21747954,22015615,22315514,22573218,22876186,23066364,23179797,23242519,23676674,23939304,23947698,23977426,24036236,24388350,24546658,25046418,25668415,26014240,26124295,26418738,26630156,26807815,26922440,26931717,27225187,27326066,27718615,27757964,28247887,28740319,28856215,28897939,29033750,29266020,29986028,30036819,30287745,30802098,31051820,31128415,31217088,31241491,31349154,31428194,31437619,31584799,31645587,31648892,32169378,32263015,32306928,32325466,32489815,33262338,33823820,34337480,34627458,34840500,34990124,35015359,35119224,35208295,35297906,35318371,35607679,35688019,36345294,36752378,37163200,37249059,37262184,37354098,37400012,37764716,38043080,38347507,38484019,38598295,38629665,38715618,38943727,38987778,39003898,39240039,39509127,39715927,39860887,40356914,40558844,40588584,40968271,41139319,41204976,41225619,41282770,41808600,41919957,41979295,42249954,42357811,42381427,42654415,42798465,43258159,43778815,44179987,44595840,44719519,44897420,45164287,45403171,45414799,45574887,45651696,45662157,45906487,46055996,46317954,46355598,46804339,46975016,47034675,47568896,48899276,49385815,49539324,49632199,49929847,50170320,50375154,50425580,50432371,51126188,51185298,51227708,51358158,51850604,51868687,52068295,52514815,52534578,52846893,53184295,53445667,53515008,53653639,53659208,53701106,53876904,54977170,55905826,56441610,57193615,57458467,57493411,57954319,58431506,58852839,59002879,59214056,59248927,59262978,59415415,59701111,60204384,60366609,60510696,60611517,61033448,61284979,61779218,61797370,61944818,62076295,62196332,62228719,62481954,63017778,63292328,63447674,63821154,64175539,64192226,64520410,64631379,65008687,65207468,65342311,65794280,65972604,66615813,67160215,67472179,67729932,67816519,68027666,68042215,68074533,68296316,68632338,68662629,68703295,68820787,69050479,69300476,69620386,69676087,69962167,69974216,70150279,71094764,71203869,71298498,71344015,71859074,72260499,72379327,72578984,72639687,73178899,73182440,73717394,73773266,73809139,74018565,74154279,74156844,74491554,74532387,74814127,75525765,75590959,75679186,75788359,75951415,76389295,76419687,77188147,77424492,78195187,78469629,78544687,78720993,78953136,79013215,79250098,79925527,80064019,80519011,80560816,80592258,81110696,81650658,81651357,81741225,82330245,82422759,82443954,82502815,82576327,82863487,83404387,83473580,83591215,83608531,84894007,85260866,85547815,85612818,85775187,85989345,86463187,87190640,87389887,87549970,87747176,87777778,87818928,87911564,88468759,88569619,88815514,88822278,88898170,89050514,89254786,89377939,89451295,89550679,89901308,89911625,90120345,90630918,90798466,90965815,91141698,91249533,91488968,91667154,91703180,91721968,91727887,92330227,93039511,93340844,93416225,93420559,93529479,93756307,94629459,94815858,94942099,95299171,95361699,95497615,96096716,96128368,96574015,96576919,96790879,97182380,97188519,97611836,97774898,98025007,98079295,98089470,98169704,98315410,98715573,98796294,98877896,98914389,99000680,99003378,99211939,99564919,99689791,99851026,...,32631182961527273065830489650730345044798744061922955077816794551753969070742453041062784648483855865821087264153743163552041131785441781327928595482458295459120885686551297375201139773776072930086480804667389808664516172512597444712137987824043995020409724715398312191876009817616217528318533129804422783266499936260431561179428217330007514957551751359539195081043521668700483205511942152087612956456389783534501382340523360615058589849013327197110134882244997748524992430276712206734500495512647284565930096659123371162975500882869538589051977318878692617983702808892703164927957304950039373010426818347094096735876813391247651954494366520196423863371685815610852894435549834724625953310925894355308001784827010420370621480499297263492140103271953534139636239653372810154565469828219382449034953845725461331905637130265394384759901946744044029931601246244085724823086194975314121037904902333475208374668265926502196050927980299189821894742864584426858060826810966594044150969581893485528095331120755451173875264564211807097302984444161924897496570276388873668771936882417948467115403798388990630346805974219783661720023563432593570042386692285650707872594686900361346458961583162294603959446344804346623928536642999456954233379803447310142359274027208388104283074729842248665179455764851635374281565726123079227500305223314066280464731445474118608094468781798204600439500676786911162223680885837597813872396668169931415517511526175792697533691072014354415115600859501600346573532175295970575811135096806286721504488225139882496800942150022807749784119603178801236031949114977486822479055245308187662466529959179713089996973888978839091063976822832082216582864321720100507019100579043032290232027856634084959388405590967303501322575916504097678869005640259489337033202594822084035628867626528512983546985952590619850894366184650962586856830029682529754916165933708004919071320164416595836780309391863427899222892605572116864423245527591113654535736284339295491504388075349545298362388100985671091114411172051180861552584285600225469419446685539102100307556990300627843317847625683728896998837460048775892547663401850735682883391230090556680514064201724017738753608592348941782446763989743431735586633493673058740912060195579442103752620597557008911501124257401564330518430029363609617377242661713683552184001111329663258401643544951537136383442673290440116754250402519152662330525657400527147815748402348239722709858149520611673171047625713988587475795812413082326719597786468929189768394331099988530810107758118575225584461114126804466015483132764143955288479101813748654144970487401583429551037839805851993926364254088728825258107644579905820053051433315585959810812071773184981775955046954521915564227252471447244115278471792385878059523181992993064429890986662077425189222076859648914828594879522314297558434957771793539088328650214398245549558631781699761406515881720748051368738798231031725474305127309475457346377660347351694541111082128645645177182448238430335664308932552125937549236026227705320448488792456038645010236570090809993665931532004906607225363921304002638879263709389523105369759034727065249754498654593023780589118045968034157475284403120348662062390145217532993414028179775507078881520567479408475561507226599117889643083663472792259589995824591639053438145109258120176184338510865157219988242272410758435549368775223329144677839736990495933220106766505981770986770597879837720843161149327612940428824815770482023025405203794542275591321722294244262250286833830185806235912557203004938552693959868692357594475710167533943156924512107750546780355072075270558653713313693334488592352347385265397394354695061381909128670220944816920269754939198175945110653056488585360869384166}
23250  51278325070828902194210370339617939019496239149943163999707614182675736710057: {534221,951569,1090541,1229441,1414529,1765252,1922861,2180894,2476301,2736302,3158872,3434932,3487949,3553731,3763181,3990916,4122302,4129709,4404269,4450001,4541441,4861229,5135021,5271809,5362961,5499629,5909201,6056654,6340971,6363521,6766516,6883502,7043501,7179281,7320772,7548775,7610584,7709054,7981144,7992449,8533121,8561907,8668109,8722072,8807774,8892929,8942395,8978787,9058530,9072641,9534916,9662432,9812331,9879761,10014029,10103501,10451534,10550381,10639661,10730874,10870236,11352749,11575169,11886221,12285569,12774850,12949709,13162264,13567949,13744301,13876481,14266814,14268615,14272589,14807547,15109059,15219856,15281921,15329820,15413261,15806849,15893294,15933722,15981569,16199789,16351808,16635629,17122338,17287889,17784302,17796916,17895041,17986975,18028731,18154769,18395784,18435255,18699544,19104641,19233869,19664272,19668254,19707089,19750061,20265101,20695257,20910424,20946891,21009614,21036987,21083572,21120941,21462775,21547661,21584370,21632909,21760721,21812702,22058669,22122306,22695809,22762460,23023328,23148302,23486872,23524227,23542529,23557135,23681534,24175469,24217601,24301841,24428141,24722561,24936775,25135347,25277774,25755330,25808702,25854509,25901244,25994116,26188781,26422731,26730881,26939021,27230081,27314952,27472352,27686669,28052427,28268562,28307729,28679501,28832955,28968209,28997272,29924130,30045295,30097624,30561134,30569549,30729321,30755152,30773969,30906396,31182209,31263761,31548941,31630349,31919072,31930264,32280461,32483201,32517800,32604411,32604749,32621931,32847629,33090221,33287695,33395224,33473271,33614849,33653050,33859827,33977261,34314279,34599546,34660049,34697455,35224984,35380481,35515011,35899181,35908956,35921547,35966139,36054354,36496001,36582525,36819987,37051409,37288961,37482535,37565741,37569627,37602302,37802669,38275661,38378174,38814775,39021360,39218189,39410654,39561115,39628107,39922061,39945234,40000109,40039121,40049092,40383660,40989099,41069464,41103139,41166989,41205761,41622784,41636946,41798872,41979521,41981774,42194116,42279775,42557741,42892504,42921850,43057409,43075904,43249229,43261934,43517534,43550625,43708781,43737655,43899030,44052689,44167181,44349784,44624429,44966609,44979042,45232301,45302702,45573329,46169944,46203147,46454000,46577730,46750015,46825632,46951807,47006081,47023731,47043629,47142291,47205895,47473338,47553850,47568461,47605889,47942381,48254067,48346574,48390029,48460392,48488199,49059341,49133549,49504109,49615121,49665412,49682912,49805464,49893507,49910801,50698555,50735730,50794769,51454721,51506220,51620824,51812299,51929741,51941187,51983704,52122254,52260750,52320052,52439789,52485186,52657901,52678836,52912001,52946859,53357491,53404267,53623454,53852369,54118112,54517941,54715601,54939968,54967492,55128567,55252781,55380787,55467149,55609901,55744800,55893276,56001809,56031147,56100018,56121775,56215169,56333272,56421079,56647074,56676461,57064620,57569995,57594989,57848702,58017101,58073427,58157549,58262801,58332929,58481667,58505847,58718770,58962641,59067341,59171969,59311361,59461120,59485421,59822654,59937041,60110381,60535371,60766516,60767249,60838266,60868928,60882876,61077389,61124095,61227439,61542302,61592849,61757272,61807464,61901261,61924155,62277134,62277329,62712900,62822609,63031975,63094481,63374931,63506611,63907735,63940781,64034635,64210541,64473854,64513409,64647809,64813255,65050241,65117201,65150669,65351309,65689214,65851649,66051281,66052432,66217421,66350189,66813869,66846929,66893760,67074010,67166872,67308929,67346130,67605101,68247064,68293649,68424401,68477544,68978669,69083994,69108749,69303629,69313694,69476931,69533397,69660161,69789569,70046104,70462524,70490714,70754414,70971859,71353344,71835872,71906321,72192269,72287441,72477569,72635789,73298129,73348914,73392461,73580909,73800401,73956941,74017570,74238209,74269421,74308986,74425361,74643341,74891981,75109121,75255480,75562731,75638370,75727361,75942989,76291810,76314667,76689282,76777947,76778779,76841562,77015249,77037237,77198081,77289389,77745415,77775906,78409601,78470452,78680429,78801867,78950609,79017304,79055294,79115410,79667921,79992734,80052847,80256722,80272512,80291789,80488812,80551659,80617169,80680928,80815356,81059309,81161294,81394574,81509335,82025681,82054829,82242850,82326254,82440259,82465755,82809869,83309272,83616941,83760401,83846381,83858739,84023704,84112322,84182702,84275201,84474701,84645389,84662415,85070849,85094872,85370395,85898491,86029934,86175172,86518159,86587601,86625595,86671181,87011947,87173671,87467770,87585809,87638702,87640961,87647259,87963472,88409729,88464401,88546349,88783502,88791761,88821084,88868455,88894467,89524109,90035969,90182287,90306576,90380174,90411281,90491501,90723730,90766044,91157201,91236749,91478050,91509784,91527809,91550172,91765229,91923149,92028269,92131171,92316689,92578049,92656301,92668827,92696055,92812589,92917227,93253841,93294498,93718529,93722931,93975569,94003214,94334081,94526667,94640129,94792721,94868909,94938492,95064664,95127854,95171511,95481826,95727341,95731731,96197959,96227981,96288339,96347332,96377549,96551681,96696302,96780615,96852916,96923501,97420999,97637249,97661741,97811202,97881809,98257694,98465489,98610689,98691420,98731469,98872372,98875792,98958906,99116621,99322072,99332369,99376516,99451949,99475841,99666689,...,48946774442290909598745734476095517567198116092884432616725191827630953606113679561594176972725783798731630896230614745328061697678162671991892893223687443188681328529826946062801709660664109395129721207001084712996774258768896167068206981736065992530614587073097468287814014726424326292477799694706634174899749904390647341769142325995011272436327627039308792621565282503050724808267913228131419434684584675301752073510785040922587884773519990795665202323367496622787488645415068310101750743268970926848895144988685056744463251324304307883577965978318038926975554213339054747391935957425059059515640227520641145103815220086871477931741549780294635795057528723416279341653324752086938929966388841532962002677240515630555932220748945895238210154907930301209454359480059215231848204742329073673552430768588191997858455695398091577139852920116066044897401869366128587234629292462971181556857353500212812562002398889753294076391970448784732842114296876640287091240216449891066226454372840228292142996681133176760812896846317710645954476666242887346244855414583310503157905323626922700673105697583485945520208961329675492580035345148890355063580038428476061808892030350542019688442374743441905939169517206519935892804964499185431350069705170965213538911040812582156424612094763372997769183647277453061422348589184618841250457834971099420697097168211177912141703172697306900659251015180366743335521328756396720808595002254897123276267289263689046300536608021531622673401289252400519860298262943955863716702645209430082256732337709823745201413225034211624676179404768201854047923672466230233718582867962281493699794938769569634995460833468258636595965234248123324874296482580150760528650868564548435348041784951127439082608386450955251983863874756146518303508460389234005549803892233126053443301439792769475320478928885929776341549276976443880285245044523794632374248900562007378606980246624893755170464087795141848834338908358175296634868291386670481803604426508943237256582113024317947543582151478506636671616758076771292328876428400338204129170028308653150461335485450941764976771438525593345498256190073163838821495102776103524325086845135835020771096302586026608130412888523412673670145984615147603379950240509588111368090293369163155628930896335513367251686386102346495777645044045414426065863992570525328276001666994494887602465317427305704575164009935660175131375603778728993495788486100790721723622603522359584064787224280917509756571438570982881213693718619623490079396679703393784652591496649982796215161637177862838376691671190206699023224699146215932932718652720622981217455731102375144326556759708777990889546381133093237887161466869858730079577149973378939716218107659777472663932570431782873346340878707170866172917707688578817089284772989489596644836479993116137783833115289473372242892319283471446337652436657690308632492975321597368324337947672549642109773822581122077053108197346547588211457690964213186019566490521027541811666623192968467765773672357645503496463398828188906323854039341557980672733188684057967515354855136214990498897298007359910838045881956003958318895564084284658054638552090597874631747981889535670883677068952051236212926604680522993093585217826299490121042269663260618322280851219112713342260839898676834464625495209188389384993736887458580157217663887180264276507766297735829982363408616137653324053162834993717016759605485743899830160149758972656480155896819756581264741723991419410643237223655723034538107805691813413386982583441366393375430250745278709353868835804507407829040939803038536391713565251300914735386768161625820170532608112905837980569970540001732888528521077898096091532042592072863693005331417225380404632408797263917665979584732878041304076249}
23251  51461423664425012168883881318521481615044852369768986431329506891892293823243: {23251,2206565,2647878,2764013,3271341,3321461,3948590,4104453,4293665,4738308,4988645,5152398,5620934,5986374,6183453,6659261,6983501,7631813,7914269,8454628,8458145,8749793,9084981,9150965,9443621,9513230,9976430,10142333,10149774,10325253,10902590,10972181,10981158,11159681,11415876,11516981,11563581,11918645,11971716,12078040,12227981,12364001,12784853,13083108,13211661,13317374,13587795,13665389,14302374,14307832,14493648,14590913,14807342,15677301,16096311,16305354,16362101,16452830,16539461,17078501,17206238,18149438,18296621,18603101,18885614,18945413,19024820,19162275,19743396,20145412,20439760,20551013,20923694,21383141,21400221,22246145,22284629,22829784,22878158,22994730,23374430,23784293,23839941,23900583,24030401,24038308,24453854,24527712,24548774,24580340,24693581,25372613,25567502,25683507,25976933,26138030,26335421,26354465,26387213,26676453,26695374,26910758,27593676,27734069,27929188,27938981,28049316,28336958,28453075,28779160,29220821,29358590,29496408,29502381,30821861,30944798,31365636,31514421,31625358,32121533,32175221,32376555,32492645,32503301,32719053,33183459,33513796,33763061,33902318,34143690,34340440,34534992,34722453,35153441,35230308,35522301,35935781,36128462,36186854,36246590,36419936,36574013,37403236,37530941,37622030,37691416,37916661,38063381,38443940,38632995,38713053,38806061,38851866,38991174,39134813,39467678,39898840,39912830,40250342,40287413,40398701,40502381,40647250,40843421,40972428,41208528,41693822,41739893,41744030,42402843,43472548,43495908,43579781,43793669,44031230,44388389,44631028,44886195,45146436,45168221,45319781,45485741,45752372,45841701,45910469,46132728,46359594,46485038,47108321,47353348,47878608,47895396,47954852,48072472,48776700,49093316,49291613,50061365,50087141,50092836,50436749,50479575,51336830,51605261,51899319,52028480,52248590,52742645,52837476,53020613,53260312,53450309,53615630,53658293,53844880,53863434,54037613,54081531,54253121,54450374,54652132,55437230,55515928,56403453,56460701,56495774,57480638,57567261,57712430,57795878,57964709,58067500,58532040,58771013,59008001,59115981,59601893,59716181,59917851,59972056,60073638,60575490,60796661,61290341,61604196,62081765,62103640,62256830,62434176,62455419,62482982,62698308,62856388,62875238,62972661,63163061,63169598,63291174,63297784,63573821,63818429,63929741,64338756,64382775,64526030,64613856,64650932,64892901,64979630,65276301,65400065,65848545,66219389,66350981,66524676,67468563,67647640,67905461,67954053,68674960,68709365,69140141,69254916,69681000,69866595,69968261,69980248,70030718,70238448,70416590,70595812,70636742,70934081,71035301,71210007,71215358,71330775,71376038,72519861,72690588,72895613,73504756,73520741,73812581,74326400,74458013,74498118,74524368,74708196,74800024,74921309,75529432,75597521,75794933,75958145,76086160,76103595,76695014,76968038,77196590,77259330,77431236,77887454,77975556,78007796,78183381,78391125,78403253,78480078,78727779,79018254,79362461,79431854,79721774,80071061,80435181,80713828,81117688,81177168,81936542,82138181,82278638,82409952,82451238,82565540,82682561,82966913,83181581,83248469,83309381,83615789,83617200,83839914,83958590,84150027,84484013,84499908,84715622,84762854,84970611,85308830,85596930,86516318,86773053,86906813,87234701,87557630,88078155,88359974,89191680,89439038,89733981,89794840,90328574,90806342,90829598,91149774,91257399,91303392,91324314,91812974,92111992,92291189,92313453,92635908,92711196,93415701,93608678,93950032,94024301,94069350,94202321,94457441,95137792,95259101,95307509,96184613,96710781,97798552,98088065,98533821,98568821,98771630,99078648,99264398,99456029,99859694,99881621,...,65262365923054546131660979301460690089597488123845910155633589103507938141484906082125569296967711731642174528307486327104082263570883562655857190964916590918241771373102594750402279547552145860172961609334779617329032345025194889424275975648087990040819449430796624383752019635232435056637066259608845566532999872520863122358856434660015029915103502719078390162087043337400966411023884304175225912912779567069002764681046721230117179698026654394220269764489995497049984860553424413469000991025294569131860193318246742325951001765739077178103954637757385235967405617785406329855914609900078746020853636694188193471753626782495303908988733040392847726743371631221705788871099669449251906621851788710616003569654020840741242960998594526984280206543907068279272479306745620309130939656438764898069907691450922663811274260530788769519803893488088059863202492488171449646172389950628242075809804666950416749336531853004392101855960598379643789485729168853716121653621933188088301939163786971056190662241510902347750529128423614194605968888323849794993140552777747337543873764835896934230807596777981260693611948439567323440047126865187140084773384571301415745189373800722692917923166324589207918892689608693247857073285998913908466759606894620284718548054416776208566149459684497330358911529703270748563131452246158455000610446628132560929462890948237216188937563596409200879001353573822324447361771675195627744793336339862831035023052351585395067382144028708830231201719003200693147064350591941151622270193612573443008976450279764993601884300045615499568239206357602472063898229954973644958110490616375324933059918359426179993947777957678182127953645664164433165728643440201014038201158086064580464055713268169918776811181934607002645151833008195357738011280518978674066405189644168071257735253057025967093971905181239701788732369301925173713660059365059509832331867416009838142640328833191673560618783726855798445785211144233728846491055182227309071472568678590983008776150699090596724776201971342182228822344102361723105168571200450938838893371078204200615113980601255686635695251367457793997674920097551785095326803701471365766782460181113361028128403448035477507217184697883564893527979486863471173266987346117481824120391158884207505241195114017823002248514803128661036860058727219234754485323427367104368002222659326516803287089903074272766885346580880233508500805038305324661051314801054295631496804696479445419716299041223346342095251427977174951591624826164653439195572937858379536788662199977061620215516237150451168922228253608932030966265528287910576958203627497308289940974803166859102075679611703987852728508177457650516215289159811640106102866631171919621624143546369963551910093909043831128454504942894488230556943584771756119046363985986128859781973324154850378444153719297829657189759044628595116869915543587078176657300428796491099117263563399522813031763441496102737477596462063450948610254618950914692755320694703389082222164257291290354364896476860671328617865104251875098472052455410640896977584912077290020473140181619987331863064009813214450727842608005277758527418779046210739518069454130499508997309186047561178236091936068314950568806240697324124780290435065986828056359551014157763041134958816951123014453198235779286167326945584519179991649183278106876290218516240352368677021730314439976484544821516871098737550446658289355679473980991866440213533011963541973541195759675441686322298655225880857649631540964046050810407589084551182643444588488524500573667660371612471825114406009877105387919737384715188951420335067886313849024215501093560710144150541117307426627386668977184704694770530794788709390122763818257340441889633840539509878396351890221306112977170721738768332}
23252  51645171757231247238534325754457430905335666078498189832897525678398611735403: {997987,1068442,1830667,1903138,2181082,2458882,2522587,2829058,3530504,3845722,3971817,4175851,4361788,4450387,4587547,4861651,4952602,5135467,5472604,5545651,5922885,6317744,6869864,6975898,7107462,7526362,7586851,7728597,7981832,8244604,8259418,8431401,8808538,8900002,8979561,9082882,9722458,10270042,10543618,10568285,10725922,10999258,11818402,12113308,12519353,12681942,12727042,13533032,13613251,13767004,13877707,14087002,14269845,14273851,14358562,14641544,14964645,15097550,15221168,15224661,15418108,15962288,15982987,15984898,16353885,16471737,16898251,17066242,17123814,17289427,17336218,17444144,17615548,17785858,17884790,17957574,18117060,18145282,18199651,19069832,19324864,19624662,19751827,19759522,19976061,20028058,20207002,20903068,21100762,21279322,21453561,21461748,21740472,22211013,22705498,23150338,23586907,23772442,23781025,24219787,24458031,24571138,24679245,24850867,24976867,25181765,25549700,25809357,25899418,26324528,26483251,26733307,27135898,27224157,27481747,27488602,27752962,28328421,28351651,28533628,28537230,28545178,29615094,30047885,30203851,30218118,30439712,30563842,30659640,30725425,30826522,31385541,31613698,31673947,31786588,31867444,31963138,32399578,32703616,32979989,33271258,34221667,34244676,34317237,34492095,34575778,34911485,35061645,35568604,35593832,35790082,35902507,35973950,36057462,36309538,36499387,36680781,36791568,36823161,36870510,37094467,37399088,37687747,37806187,38209282,38351253,38467738,39207045,39328544,39336508,39414178,39500122,39808651,40042867,40043061,40366137,40530202,41209627,41390514,41820848,41892245,41893782,42019228,42063413,42073974,42167144,42241882,42505437,42925550,43095322,43168740,43265818,43521442,43625404,44037885,44095027,44117338,44209507,44244612,44666707,45008851,45391618,45524920,46046656,46296604,46417197,46602773,46709851,46754045,46973744,47048107,47048454,47085058,47114270,47273251,47363068,47438037,47610427,48054925,48058987,48350938,48435202,48576437,48603682,48856282,49445122,49873550,50270694,50555548,50853477,51215535,51510660,51617404,51709018,51802488,51934747,51988232,52262851,52377562,52475549,52845462,53461762,53878042,54192693,54280281,54340685,54369885,54460162,54629904,54756787,54944704,55293907,55373338,55385561,55788785,55829227,56042851,56104854,56433045,56537124,56615458,57190465,57359002,57665910,57936418,57994544,58277799,58486761,59191685,59201517,59848260,59869245,59943565,60090590,60195248,60375513,60970875,61083427,61122268,61139098,61232717,61366645,61458642,61510304,61547938,61812792,62112667,62364418,62527522,62540733,62616045,62624587,63058853,63097882,63260698,63541507,63838144,63845851,63860528,64560922,64654267,64966402,65035600,65157187,65208822,65209498,65243862,65450021,65695258,66046845,66088253,66180442,66575390,66679457,66790448,66853651,66946542,67229698,67306100,67348651,67719654,67954522,68038627,68315165,68628558,69115747,69199092,69320098,69394910,69539391,69727557,70280851,70449968,70760962,70977977,71030022,71435587,71798362,71817912,71843094,71932278,72108708,72484987,72584375,72992002,73165050,73431427,73639974,74102818,74277067,74577922,74965070,75131482,75139254,75204604,75605338,75766027,76135387,76551322,76756348,77005245,77053747,77327851,77629550,78042720,78372885,78436378,78570485,78688651,78821308,79122230,79256214,79844122,79890468,80000218,80033251,80078242,80098184,80423445,80597993,80655187,80767320,80795151,80813665,81097267,81412309,81675561,81978198,82063507,82138928,82206278,82333978,82411522,83155845,83245568,83273892,83597744,83959042,83963548,84388232,84559550,84743661,85115482,85249651,85573733,85672651,85785008,85843700,86114818,86151808,86220957,86498458,86523868,86568645,86693817,87035068,87101250,87417562,87475310,87595267,87798060,88008187,88105378,88244765,88334362,88583251,88699568,88746907,89248858,89470829,89648489,89933218,89958084,90110457,90190061,90464602,90605404,90608251,90738557,90863235,91146658,91246747,91564267,91880945,92139113,92339888,92406294,92822827,92908000,93155460,93385245,93500030,93651264,93724473,93903614,93985987,94012162,94047462,94087258,94284582,94312857,94411790,94754397,94904851,94936761,94946676,95107700,95136922,95211778,95436067,95884762,96508134,96562507,96693148,96780058,96789045,96920784,96976398,97429397,97469445,97509745,97672747,98118682,98267098,98476627,99008218,99230242,99330824,99365824,99487147,99610928,99787014,99787501,99821602,99844627,...,97893548884581819197491468952191035134396232185768865233450383655261907212227359123188353945451567597463261792461229490656123395356325343983785786447374886377362657059653892125603419321328218790259442414002169425993548517537792334136413963472131985061229174146194936575628029452848652584955599389413268349799499808781294683538284651990022544872655254078617585243130565006101449616535826456262838869369169350603504147021570081845175769547039981591330404646734993245574977290830136620203501486537941853697790289977370113488926502648608615767155931956636077853951108426678109494783871914850118119031280455041282290207630440173742955863483099560589271590115057446832558683306649504173877859932777683065924005354481031261111864441497891790476420309815860602418908718960118430463696409484658147347104861537176383995716911390796183154279705840232132089794803738732257174469258584925942363113714707000425625124004797779506588152783940897569465684228593753280574182480432899782132452908745680456584285993362266353521625793692635421291908953332485774692489710829166621006315810647253845401346211395166971891040417922659350985160070690297780710127160076856952123617784060701084039376884749486883811878339034413039871785609928998370862700139410341930427077822081625164312849224189526745995538367294554906122844697178369237682500915669942198841394194336422355824283406345394613801318502030360733486671042657512793441617190004509794246552534578527378092601073216043063245346802578504801039720596525887911727433405290418860164513464675419647490402826450068423249352358809536403708095847344932460467437165735924562987399589877539139269990921666936517273191930468496246649748592965160301521057301737129096870696083569902254878165216772901910503967727749512293036607016920778468011099607784466252106886602879585538950640957857771859552683098553952887760570490089047589264748497801124014757213960493249787510340928175590283697668677816716350593269736582773340963607208853017886474513164226048635895087164302957013273343233516153542584657752856800676408258340056617306300922670970901883529953542877051186690996512380146327677642990205552207048650173690271670041542192605172053216260825777046825347340291969230295206759900481019176222736180586738326311257861792671026734503372772204692991555290088090828852131727985141050656552003333988989775204930634854611409150328019871320350262751207557457986991576972201581443447245207044719168129574448561835019513142877141965762427387437239246980158793359406787569305182993299965592430323274355725676753383342380413398046449398292431865865437305441245962434911462204750288653113519417555981779092762266186475774322933739717460159154299946757879432436215319554945327865140863565746692681757414341732345835415377157634178569545978979193289672959986232275567666230578946744485784638566942892675304873315380617264985950643194736648675895345099284219547645162244154106216394693095176422915381928426372039132981042055083623333246385936935531547344715291006992926797656377812647708078683115961345466377368115935030709710272429980997794596014719821676091763912007916637791128168569316109277104181195749263495963779071341767354137904102472425853209361045986187170435652598980242084539326521236644561702438225426684521679797353668929250990418376778769987473774917160314435327774360528553015532595471659964726817232275306648106325669987434033519210971487799660320299517945312960311793639513162529483447982838821286474447311446069076215611383626826773965166882732786750860501490557418707737671609014815658081879606077072783427130502601829470773536323251640341065216225811675961139941080003465777057042155796192183064085184145727386010662834450760809264817594527835331959169465756082608152498}
23253  51829571638069964904528391156861553193622162712300044296208908467730703530918: {46502,1602663,2854707,3089191,3271623,3688323,3925363,4243587,4413130,5295756,5452235,5528026,5768583,6011131,6542682,6642922,6840755,6984103,7428903,7897180,8208906,8587330,9353227,9476616,9977290,10304796,10305755,10463651,10463847,10661193,11160643,11241868,11289543,11841403,11972748,12366906,12389127,12811351,12967123,13212807,13318522,13350003,13519187,13624323,13666567,13967002,14583687,15141635,15263626,15405063,15475067,15815427,15828538,16088883,16307491,16498887,16686103,16909256,16916290,17208755,17499586,17727603,18169962,18301930,18528011,18887242,19022913,19026460,19090563,19272635,19952860,20183683,20284666,20299548,20650506,21130503,21144167,21537843,21805180,21867227,21944362,21962316,21985483,22019435,22319362,22646325,22831752,23033962,23127162,23837290,23943432,23977347,24156080,24455962,24728002,25569706,25599363,25685721,26004327,26128835,26166216,26423322,26634748,26678787,26827185,26857507,26936361,27175590,27217923,27330778,28604748,28615664,28987296,29181826,29183323,29436993,29491591,29614684,29639283,30042087,30310503,31144603,31354602,31651143,31918983,31937125,32192622,32610708,32724202,32776627,32905660,33078922,34058247,34157002,34412476,34725507,35658663,35667035,36298876,36593242,36856707,36868243,36896251,37206202,37771228,37818647,37890826,38049640,38324550,38849127,39486792,39733235,39834305,40290824,40703847,40879520,41102026,41232903,41629443,41847388,42766282,42800442,42805845,42817767,42835783,44422641,44460755,44492290,44569258,45267367,45327177,45411047,45489703,45659568,45756316,45845763,45989460,46239783,46748860,47420547,47568586,47679882,47801166,47944707,48060802,48076616,48599367,48907708,49055424,49097548,49160680,49170635,49387162,49906887,50324507,50745226,51135004,51158231,51367014,51863667,51953866,52276060,52524035,52670842,52708930,52774426,53352906,53390748,53685123,53797571,53821516,53960925,54086193,54257827,54464307,54531755,55187352,55305765,55468138,55858376,55877962,56098632,56673916,56677207,56906150,57313923,57558320,57701607,57870755,58441642,58479371,58717180,58992816,59004762,59121267,59203835,59250183,59607067,60081083,60474887,60795303,61643722,61889596,62085771,62509243,62731272,62840673,63028842,63110961,63168547,63194435,63250716,63362823,64243066,64350442,64388325,64521755,64642983,64753110,64898727,64985290,65006602,65282163,65438106,66176007,66366918,66674983,66726283,67027592,67526122,67804636,67828283,67977107,68087427,68287380,68503747,68680880,69069984,69444906,69597287,70085911,70162451,70306882,70460616,70572681,70627587,70671405,70972451,71044602,71450887,71732051,71871562,72256924,72373708,72493180,72526407,72652803,72839872,72905523,73148026,73284423,73839703,74167683,74806472,74810325,75061882,75244060,75382832,75406041,75833322,76126762,76402835,76887880,77157611,77265990,77426106,77563527,77612122,77703732,77982348,78269626,78566343,78576007,78935356,79098587,79268193,79279267,79797680,79825660,80192643,80500684,80574826,80797402,80817063,81004762,81294500,81686842,81690243,81944856,82417056,82689763,83060007,83387644,83479786,83488060,84132625,84157281,84491347,84805686,84923187,86038503,86070451,86498865,86904627,86914471,86945096,86991816,87159562,87587338,88062460,88584983,88776778,89262056,89772390,90135885,90292872,90336442,90639562,90971482,91114883,91504744,91560091,91683402,91708647,91724651,91743803,91820938,92187963,92265456,92321907,92719188,92970076,93546627,93791283,94005755,94216642,94646823,94706696,94891047,95757216,95790792,95909704,95945435,96144944,96193111,96304967,96698411,96841383,97449603,97497607,97553400,97787987,97813233,97814247,97865793,98186632,98526635,98542887,98583226,99270663,99863085,...,146840323326872728796237203428286552701594348278653297850175575482892860818341038684782530918177351396194892688691844235984185093034488015975678679671062329566043985589480838188405128981992328185389163621003254138990322776306688501204620945208197977591843761219292404863442044179272978877433399084119902524699249713171942025307426977985033817308982881117926377864695847509152174424803739684394258304053754025905256220532355122767763654320559972386995606970102489868362465936245204930305252229806912780546685434966055170233389753972912923650733897934954116780926662640017164242175807872275177178546920682561923435311445660260614433795224649340883907385172586170248838024959974256260816789899166524598886008031721546891667796662246837685714630464723790903628363078440177645695544614226987221020657292305764575993575367086194274731419558760348198134692205608098385761703887877388913544670572060500638437686007196669259882229175911346354198526342890629920861273720649349673198679363118520684876428990043399530282438690538953131937863429998728662038734566243749931509473715970880768102019317092750457836560626883989026477740106035446671065190740115285428185426676091051626059065327124230325717817508551619559807678414893497556294050209115512895640616733122437746469273836284290118993307550941832359184267045767553856523751373504913298262091291504633533736425109518091920701977753045541100230006563986269190162425785006764691369828801867791067138901609824064594868020203867757201559580894788831867591150107935628290246770197013129471235604239675102634874028538214304605562143771017398690701155748603886844481099384816308708904986382500404775909787895702744369974622889447740452281585952605693645306044125354853382317247825159352865755951591624268439554910525381167702016649411676699378160329904319378308425961436786657789329024647830929331640855735133571383897122746701686022135820940739874681265511392263385425546503016725074525889904604874160011445410813279526829711769746339072953842630746454435519910014850274230313876986629285201014612387510084925959451384006456352825294930314315576780036494768570219491516464485308328310572975260535407505062313288907758079824391238665570238021010437953845442810139850721528764334104270880107489466886792689006540101755059158307039487332935132136243278197591977711575984828005000983484662807395952281917113725492029806980525394126811336186980487365458302372165170867810567078752194361672842752529269714315712948643641081155858870470238190039110181353957774489949948388645484911533588515130075013570620097069674097438647798798155958161868943652367193307125432979670279126333972668639143399279713661484400609576190238731449920136819148654322979332417991797711295348620039022636121512598518753123065736451267854318968468789934509439979348413351499345868420116728676957850414339012957309973070925897478925964792104973013843017648926329321467743366231159324592039642764634373072892639558058699471563082625434999869578905403297321017072936510489390196484566718971562118024673942018199566052173902546064565408644971496691894022079732514137645868011874956686692252853974163915656271793623895243945668607012651031206856153708638779814041568979280755653478898470363126808989781854966842553657338140026782519696030503393876485627565168154981210662375740471652991661540792829523298893207489947090225848412959972159488504981151050278816457231699490480449276917969440467690459269743794225171974258231929711670967169103614323417075440240160947750324099180126290752235836128061606507413522223487122819409115609175140695753902744206160304484877460511597824338717513941709911620005198665585563233694288274596127776218591079015994251676141213897226391791752997938754198634123912228747}
23254  52014625603776296590322409780332867713152368749671790782982981185940121254678: {69753,1229653,1995974,2136884,3167029,3661334,3806276,3855529,3993013,4362164,4405033,4542229,4917764,5045174,5227129,5363893,5658116,5773753,6455413,6619695,6727573,7061008,7135273,7271029,7691444,7943634,7948729,8084053,8292039,8351702,8723576,8759593,8900774,9164053,9175094,9723302,9814023,9871475,9905204,9964383,10105273,10270934,10641529,10945208,11091302,11443753,11845770,12313359,12635488,12642229,12775033,12880995,13739728,13951796,13967029,14052335,14214924,14494933,14795599,14965935,15052724,15173702,15415993,15457194,15963664,16489208,16518836,16725673,16862802,17377813,17617076,17800004,17959122,18165764,18417493,18550359,19194229,19323433,19444916,19839529,19977783,20354473,20540084,20950503,21087236,21124729,21136570,21451844,21636793,21764629,21892393,21998516,22895439,23546773,23636804,23742807,23783075,24226616,24306229,24941075,25038706,25363884,25374435,25454084,25691833,26068213,26193529,26249379,26819029,26943913,27066064,27226502,27254943,27256475,27452895,27534008,27755414,28064629,28174004,28330863,28539690,28547702,28717124,29283088,29796373,29929290,30042613,30195100,30426999,30442336,30449322,30836216,30975759,31269493,31636153,31924576,31965974,31969796,32245813,32367529,32707770,32916543,32943474,33293435,33479043,33701653,33796502,34063993,34132484,34247628,34550943,34578854,34672436,34690743,34786729,34888288,35231096,35254471,35387029,35571716,35755935,35769580,35915148,35985529,36234120,36290564,36399302,36582229,36683943,37018355,37092003,37295893,38139664,38354559,38361529,38649728,39249324,39503654,39519044,39538729,39634983,39952122,40007593,40056116,40124629,40414004,40708729,40763385,40825333,40996167,41132075,41174713,41806136,42067039,42201524,42558644,42907122,42923496,43015595,43027129,43480944,43717033,43772739,44422026,44632873,45373595,45410996,45430453,46300676,47015029,47031903,47127673,47173814,47214035,47544884,47562050,47689813,48288933,48439574,48808693,48876079,48916062,49086303,49142276,49142953,49254229,49358490,49618383,49698613,49701734,49953734,50363530,50914729,51099400,51235503,51618714,51798836,52309235,52649056,52966502,53466614,53537833,54271796,54448314,54889863,54963494,54977204,55505924,55692073,55809303,56656842,56703302,56836239,56864629,57067256,57074460,57090356,57195395,57486825,58028473,58344373,58436075,58649143,58974229,59230188,59497129,60018229,60095770,60407702,60436236,60879424,61127684,61134635,61158313,61319280,61371935,61450850,61653039,61653044,62771082,63107029,63227396,63347894,63573176,63734888,63918755,63926276,64021033,64149423,64200663,64223353,64590647,64799156,65130229,65345075,65407232,65455663,65959978,66542516,66738435,66853887,67276895,67717333,68443334,68489352,68503573,68634474,68984190,68992633,69151556,69577129,69822970,70062229,70123290,70641973,70842395,71137208,71187664,71352879,71519823,71580164,71701749,71805014,71889193,71947900,71984629,72091203,72114924,72365653,72619076,72998774,73361562,73396475,73583136,73646322,73741020,73781411,73878229,74080743,74188934,74253493,74440693,74524099,74720953,74798176,74907433,75186613,75375494,75612374,76076959,76117839,76418564,76702506,76935476,77050521,77361995,77930799,78104299,78124213,78395833,78414090,78657088,78673016,78828356,79000244,79006263,79027093,79063395,79161639,79617302,80029359,80066651,80085734,80086122,80279029,80634133,80732274,80811253,81060404,81419327,82043029,82419254,82781028,82868359,83202207,83641696,83692153,83778229,83784490,83787564,83816943,83920991,84038456,84121813,84126826,84147948,84334288,84483764,84720313,84755795,85010874,85359225,85569193,85851100,85913303,86190644,86327029,86337480,86531636,87026951,87042884,87250808,87659893,87662463,87907753,88075770,88190054,88234676,88419014,88483573,88489224,88507143,89333414,90017702,90321155,90467135,90511273,90616475,90783236,90831529,91049840,91309753,91547893,92093312,92465583,92593208,92834394,93205546,93419702,93508090,93947488,94055075,94096214,94096908,94170116,94228540,94543263,94546502,94726136,94813813,94876074,95118229,95220854,95572693,95641231,95798953,96109850,96117974,96214547,96364599,96525663,96623029,96701876,96870404,97129665,97152874,97207364,97290793,97477935,97509903,97712564,97732729,98157159,98536213,98669195,98890244,99546229,99550377,99747100,99782075,99796103,...,195787097769163638394982937904382070268792464371537730466900767310523814424454718246376707890903135194926523584922458981312246790712650687967571572894749772754725314119307784251206838642656437580518884828004338851987097035075584668272827926944263970122458348292389873151256058905697305169911198778826536699598999617562589367076569303980045089745310508157235170486261130012202899233071652912525677738738338701207008294043140163690351539094079963182660809293469986491149954581660273240407002973075883707395580579954740226977853005297217231534311863913272155707902216853356218989567743829700236238062560910082564580415260880347485911726966199121178543180230114893665117366613299008347755719865555366131848010708962062522223728882995783580952840619631721204837817437920236860927392818969316294694209723074352767991433822781592366308559411680464264179589607477464514348938517169851884726227429414000851250248009595559013176305567881795138931368457187506561148364960865799564264905817491360913168571986724532707043251587385270842583817906664971549384979421658333242012631621294507690802692422790333943782080835845318701970320141380595561420254320153713904247235568121402168078753769498973767623756678068826079743571219857996741725400278820683860854155644163250328625698448379053491991076734589109812245689394356738475365001831339884397682788388672844711648566812690789227602637004060721466973342085315025586883234380009019588493105069157054756185202146432086126490693605157009602079441193051775823454866810580837720329026929350839294980805652900136846498704717619072807416191694689864920934874331471849125974799179755078278539981843333873034546383860936992493299497185930320603042114603474258193741392167139804509756330433545803821007935455499024586073214033841556936022199215568932504213773205759171077901281915715543719105366197107905775521140980178095178529496995602248029514427920986499575020681856351180567395337355633432701186539473165546681927214417706035772949026328452097271790174328605914026546686467032307085169315505713601352816516680113234612601845341941803767059907085754102373381993024760292655355285980411104414097300347380543340083084385210344106432521651554093650694680583938460590413519800962038352445472361173476652622515723585342053469006745544409385983110580176181657704263455970282101313104006667977979550409861269709222818300656039742640700525502415114915973983153944403162886894490414089438336259148897123670039026285754283931524854774874478493960317586718813575138610365986599931184860646548711451353506766684760826796092898796584863731730874610882491924869822924409500577306227038835111963558185524532372951548645867479434920318308599893515758864872430639109890655730281727131493385363514828683464691670830754315268357139091957958386579345919972464551135332461157893488971569277133885785350609746630761234529971901286389473297351790690198568439095290324488308212432789386190352845830763856852744078265962084110167246666492771873871063094689430582013985853595312755625295416157366231922690932754736231870061419420544859961995589192029439643352183527824015833275582256337138632218554208362391498526991927558142683534708275808204944851706418722091972374340871305197960484169078653042473289123404876450853369043359594707337858501980836753557539974947549834320628870655548721057106031065190943319929453634464550613296212651339974868067038421942975599320640599035890625920623587279026325058966895965677642572948894622892138152431222767253653547930333765465573501721002981114837415475343218029631316163759212154145566854261005203658941547072646503280682130432451623351922279882160006931554114084311592384366128170368291454772021325668901521618529635189055670663918338931512165216304996}
23255  52200335959226014540155720484026570488224375437478558988096299276409759377257: {93004,2671105,2993961,3205326,4343449,4757845,5452705,5492001,5709414,6147205,6178382,6543246,7072645,7376646,7567761,7633129,7850726,8487174,8826260,9577057,9614305,10464553,10591512,10904470,10974073,11056052,11442037,11537166,11915451,11992849,12022262,12277561,12366133,12381505,12527553,13085364,13285844,13351161,13681510,13762641,13968206,14428057,14584953,14593429,14857806,15406401,15476401,15794360,15977221,16168309,16417812,16542313,16636953,17174660,17439745,17768655,18098113,18706454,18815905,18953232,19508677,19954580,20609592,20611510,20648545,20707777,20927302,20927694,21198289,21322386,22021345,22250005,22321286,22483736,22579086,22707205,22760553,22933921,23185791,23682806,23945496,24092257,24306145,24733812,24778254,24881797,24988561,25294203,25622702,25675105,25711873,25934246,26359045,26425614,26637044,26700006,26814805,26938683,26981689,27038374,27248646,27333134,27498145,27934004,27962569,28751833,29167374,29546005,30283270,30527252,30810126,30827209,30950134,31102537,31445761,31630854,31657076,31704855,31817605,32177766,32294449,32614982,32997774,33372206,33818512,33832580,34417510,34999172,35217505,35455206,35616901,35896405,36339924,36580369,36603860,37056022,37558059,37743875,37774484,38045826,38052920,38181126,38545270,38883961,38953813,39638737,39871249,39905720,39962245,40367366,40569332,40599096,40839753,41301012,41384233,41633121,42075289,42261006,42288334,42665605,42809535,42821553,43075686,43340545,43610360,43734454,43888724,43904113,43924632,43970966,44038870,44464645,44638724,44642809,44711975,44893935,44997937,45292650,45363205,45663504,45673983,45918433,46067924,46254324,47373721,47674580,47886864,47948961,47954694,48312160,48434353,48911924,49061655,49398805,49415211,49456004,49933849,50070145,50517505,50556097,50694753,51139412,51198726,51371442,51868281,52008654,52257670,52332432,52751905,52779361,52846644,53198305,53269496,53357574,53654370,53667601,53715014,53733313,53872722,54351180,54435846,54582937,54598953,54661556,55626529,55705201,55768027,56470513,56763745,57209496,57231328,57473449,57875845,57974592,58363652,58366646,58873986,58977193,58983182,59229368,59255481,59264329,59278566,59431105,59928183,60084174,60126697,60621006,60980953,61427845,61603189,62245057,62289206,62709204,63302286,63483673,63837966,63874250,64360683,64385244,64748545,65221416,65359297,65448404,65498569,65553254,65811320,66157844,66633039,67369273,67839745,68116494,68314004,68482513,68721505,68824952,68838889,69382405,69451014,70168537,70760721,70946389,70978633,71317326,71334070,71343075,71362945,71470321,71477593,72368161,72597752,72659361,73072837,73186484,73374093,73533649,73713414,73736486,73792502,74037735,74412404,74552601,74930601,75542456,75545295,75637294,75781652,75808081,76099280,76344457,76409605,76649100,76679089,77066305,77164309,77428071,77458249,77698254,77940937,78416857,78714793,78973584,79034245,79449753,79466470,79668610,79907845,80160313,80199921,80336581,80581648,80998945,81019057,81407694,81672471,81759040,82204052,82445241,82465806,82597849,82885369,83178145,83258886,83694776,83876533,84916249,84985263,85054953,85073617,85532564,85600884,85611690,85635534,85671566,86234977,86388229,86439445,87041953,88472209,88799449,88845282,88921510,88984580,89138516,89475205,89934875,90143655,90330457,90534734,90611553,90654354,90773845,90822094,90979406,91319136,91512632,91691526,91751761,91936309,91978920,92176275,92354449,92479566,93063697,93497720,93839713,94156623,94841094,94909201,95021841,95137172,95359764,95523205,95602332,95889414,96121604,96153232,96169345,96313393,97198734,97815416,98050489,98110848,98195096,98321360,98341270,98535445,98750305,98774324,98939967,99813774,...,293680646653745457592474406856573105403188696557306595700351150965785721636682077369565061836354702792389785377383688471968370186068976031951357359342124659132087971178961676376810257963984656370778327242006508277980645552613377002409241890416395955183687522438584809726884088358545957754866798168239805049398499426343884050614853955970067634617965762235852755729391695018304348849607479368788516608107508051810512441064710245535527308641119944773991213940204979736724931872490409860610504459613825561093370869932110340466779507945825847301467795869908233561853325280034328484351615744550354357093841365123846870622891320521228867590449298681767814770345172340497676049919948512521633579798333049197772016063443093783335593324493675371429260929447581807256726156880355291391089228453974442041314584611529151987150734172388549462839117520696396269384411216196771523407775754777827089341144121001276875372014393338519764458351822692708397052685781259841722547441298699346397358726237041369752857980086799060564877381077906263875726859997457324077469132487499863018947431941761536204038634185500915673121253767978052955480212070893342130381480230570856370853352182103252118130654248460651435635017103239119615356829786995112588100418231025791281233466244875492938547672568580237986615101883664718368534091535107713047502747009826596524182583009267067472850219036183841403955506091082200460013127972538380324851570013529382739657603735582134277803219648129189736040407735514403119161789577663735182300215871256580493540394026258942471208479350205269748057076428609211124287542034797381402311497207773688962198769632617417809972765000809551819575791405488739949245778895480904563171905211387290612088250709706764634495650318705731511903183248536879109821050762335404033298823353398756320659808638756616851922873573315578658049295661858663281711470267142767794245493403372044271641881479749362531022784526770851093006033450149051779809209748320022890821626559053659423539492678145907685261492908871039820029700548460627753973258570402029224775020169851918902768012912705650589860628631153560072989537140438983032928970616656621145950521070815010124626577815516159648782477331140476042020875907690885620279701443057528668208541760214978933773585378013080203510118316614078974665870264272486556395183955423151969656010001966969325614791904563834227450984059613961050788253622672373960974730916604744330341735621134157504388723345685505058539428631425897287282162311717740940476380078220362707915548979899896777290969823067177030260150027141240194139348194877295597596311916323737887304734386614250865959340558252667945337278286798559427322968801219152380477462899840273638297308645958664835983595422590697240078045272243025197037506246131472902535708637936937579869018879958696826702998691736840233457353915700828678025914619946141851794957851929584209946027686035297852658642935486732462318649184079285529268746145785279116117398943126165250869999739157810806594642034145873020978780392969133437943124236049347884036399132104347805092129130817289942993383788044159465028275291736023749913373384505707948327831312543587247790487891337214025302062413712307417277559628083137958561511306957796940726253617979563709933685107314676280053565039392061006787752971255130336309962421324751480943305983323081585659046597786414979894180451696825919944318977009962302100557632914463398980960898553835938880935380918539487588450343948516463859423341934338207228646834150880480321895500648198360252581504471672256123213014827044446974245638818231218350281391507805488412320608969754921023195648677435027883419823240010397331171126467388576549192255552437182158031988503352282427794452783583505995877508397268247824457494}
23256  52386705017363494995740279514242833764104092865244270544776414266796950980642: {116255,139506,673583,1090823,1229759,1368623,1553663,1923359,2061863,2246423,2459306,2615159,3213263,3626543,3991948,4273768,4451159,4542623,4588343,4807989,5227583,5273183,5501063,6047159,6334058,6501359,6728159,7181159,7322668,7612552,7711058,7986026,7994543,8564121,8670383,8724328,8810066,9075023,9084458,9267573,9814869,9835528,10016663,10090348,10240343,10454258,10727786,10910183,11032825,11064969,11088503,11316232,11547506,11776089,12421823,12643343,12730761,12910826,13085783,13239390,13306703,13455146,13820065,13880159,13968263,14012303,14122016,14270546,14540159,14542058,15382888,15417359,15887268,15897458,16168106,16356705,16584078,16607305,16703404,17305749,17379359,17447152,17519186,17683103,17801548,18033393,18159623,18328106,18350188,18462359,19239023,19446604,19628046,19673269,19742950,19810408,19841303,19928766,20210546,20270543,20522265,20541868,20952309,21254759,21283058,21468325,21766583,21890416,21894359,22182604,22192223,22286709,22447223,22887506,23591159,23691540,24308423,24434759,24561023,24626718,24855359,24943225,25270976,25284458,25550066,25694159,25761990,26321159,26821463,27071183,27479456,27694223,27903592,27934058,28059681,28104670,28108583,28429848,28934903,28989866,29099783,29591198,29931870,30105448,30347404,30831986,30914388,30917265,31390953,31391541,31394663,31679759,31927328,31983579,32289359,32411063,32613743,32978416,33037672,33296305,33451346,33481929,33503159,33725604,33868629,34308359,34755626,34789943,34830023,34917505,35234152,35524209,35600008,35789543,35918244,35988863,36028703,36331528,36506159,36585623,36625343,36834986,37100718,37167381,37299359,37694759,38159065,38388458,38404463,38434053,38646866,38889832,38901369,39072359,39571345,39638421,39679058,39955566,40050009,40050359,40128383,40167383,40557561,40708946,40872969,40999701,41080168,41217359,41901006,41991359,42107183,42174472,42249458,42261503,42273140,42290725,42903688,43069583,43273586,43529258,43721159,43748965,43751061,43784786,43835903,43997032,44179703,44408543,44675159,45424905,45754825,45790878,46215189,46425201,46610809,47019503,47057063,47093546,47132159,47218105,47273608,47446281,47485614,47566150,47694359,48068159,48142823,48266649,48366623,48453232,48612458,48922473,49258943,49496661,49629383,49740359,49882150,50035943,50058309,50077412,50711665,50727768,50748870,50908168,50919623,51286463,51383666,51626265,51825697,51944759,52136426,52387058,52498758,52600463,52782143,53182809,53579159,53638058,53887826,54012263,54132128,54453004,54509886,54512950,54731543,54839159,54860905,54905790,55068016,55376159,55510828,55584033,55626143,55733159,55798405,56129258,56348008,56373743,56661726,56870183,57068739,57079380,57095404,57271689,57434248,57584905,57817905,58279943,58566176,58805303,58980023,59084759,59189423,59592746,59593225,59858580,60085226,60221833,60232103,60390200,60551049,60853998,60884672,60898644,61139905,61164359,61405103,61672432,61820005,61951518,62124983,62193359,62538986,62637023,63272306,63391509,63432501,63523033,63621863,63849152,63924265,63931948,63939592,64330823,64491626,64613529,64735058,65170223,65415540,65601681,65833086,65886948,65956449,65971343,66058305,66099649,66170903,66336983,66569159,66586870,66958086,67329263,67403306,67593004,67724159,67938975,68127986,68264968,68326945,68495256,68543159,69101886,69157708,69344872,69381486,69422063,69573458,69616583,69776576,69778463,69907823,70069343,70101623,70462192,70508942,70774058,71143432,71511870,71539160,71705423,71830296,71928359,71932041,71971058,72309623,72468240,72581128,72798604,72954565,73164458,73232929,73367886,73415063,73603583,73823159,74036710,74184006,74292359,74448359,74591786,74759759,75132383,75843359,76212623,76279328,76334401,76519463,76709118,76723058,76798089,76856063,77057163,77130743,77299456,77313503,77769143,78012981,78132359,78386505,78434159,78498648,78524543,79007308,79038088,79077458,79269966,79692983,79904244,80015186,80036361,80073553,80112232,80249258,80317103,80481555,80572521,80672159,80809083,80828008,81261359,81417458,81466823,81526770,81650666,81653769,81810505,81992334,82051703,82080863,82264150,82342943,82349426,82461577,82697305,82923023,83612272,83873159,84134078,84159359,84403048,84501743,84587159,85117288,85392505,85588489,85814244,85846992,85920709,86031190,86054258,86364263,86699159,86838359,86961888,87034453,87196213,87254759,87434066,87545478,87549969,87669359,88310979,88474773,88575143,88766159,88820663,88844052,88917849,89265746,89486257,89634383,89796263,89984759,90126261,90521159,90747190,90821992,90841463,90860906,90868103,90931509,91107503,91266743,91319759,91483105,91584359,91795463,92425703,92601352,92686943,92765159,93015505,93433809,93465863,93620783,93852623,94006823,94030058,94063806,94187653,94255346,94347628,94428070,94727065,94900583,94953429,95089768,95124100,95128823,95379626,95583359,95756949,95759423,95811375,96222841,96335159,96577866,96633863,96658703,96879148,97030343,97617386,97743743,97752158,97832124,97890503,97988183,98172606,98284552,98285906,98329881,98508458,98547359,98716980,99179353,99236766,99397226,99403468,99438023,99557543,99581423,99867359,99907468,...,440520969980618186388711610284859658104783044835959893550526726448678582455023116054347592754532054188584678066075532707952555279103464047927036039013186988698131956768442514565215386945976984556167490863009762416970968328920065503613862835624593932775531283657877214590326132537818936632300197252359707574097749139515826075922280933955101451926948643353779133594087542527456523274411219053182774912161262077715768661597065368303290962961679917160986820910307469605087397808735614790915756689420738341640056304898165510700169261918738770952201693804862350342779987920051492726527423616825531535640762047685770305934336980781843301385673948022651722155517758510746514074879922768782450369697499573796658024095164640675003389986740513057143891394171372710885089235320532937086633842680961663061971876917293727980726101258582824194258676281044594404076616824295157285111663632166740634011716181501915313058021590007779646687527734039062595579028671889762583821161948049019596038089355562054629286970130198590847316071616859395813590289996185986116203698731249794528421147912642304306057951278251373509681880651967079433220318106340013195572220345856284556280028273154878177195981372690977153452525654858679423035244680492668882150627346538686921850199367313239407821508852870356979922652825497077552801137302661569571254120514739894786273874513900601209275328554275762105933259136623300690019691958807570487277355020294074109486405603373201416704829472193784604060611603271604678742684366495602773450323806884870740310591039388413706812719025307904622085614642913816686431313052196072103467245811660533443298154448926126714959147501214327729363687108233109923868668343221356844757857817080935918132376064560146951743475478058597267854774872805318664731576143503106049948235030098134480989712958134925277884310359973367987073943492787994922567205400714151691368240105058066407462822219624043796534176790156276639509050175223577669713814622480034336232439838580489135309239017218861527892239363306559730044550822690941630959887855603043837162530254777878354152019369058475884790942946730340109484305710658474549393455924984931718925781606222515186939866723274239473173715996710714063031313861536328430419552164586293002312812640322468400660378067019620305265177474921118461998805396408729834592775933134727954484015002950453988422187856845751341176476089420941576182380434008560941462096374907116495512603431701236256583085018528257587809142947138845930923243467576611410714570117330544061873323469849845165936454734600765545390225040711860291209022292315943396394467874485606830957101579921376298939010837379001918005917430197839140984453201828728570716194349760410457445962968937997253975393133886045860117067908364537795556259369197209353803562956905406369803528319938045240054498037605260350186030873551243017038871929919212777692436777894376314919041529052946778987964403230098693477973776118928293903119218677918674176098414689247876304999608736716209891963051218809531468170589453700156914686354074021826054598698156521707638193696225934914490075682066239197542412937604035624870060076758561922491746968815380871685731837005821037953093620568461125916339442124706937842266960436695411089380426969345564900527660972014420080347559088091510181629456882695504464943631987127221414958974984622378488569896679622469841270677545238879916478465514943453150836449371695098471441347830753908321403071377809231382675515922774695789135012901507310842970251226320720482843250972297540378872256707508384184819522240566670461368458227346827525422087261708232618480913454632381534793473016152541825129734860015595996756689701082864823788383328655773237047982755028423641691679175375258993816262595902371736686241}
23257  52573735099229777981389031980970883513861504895397523557375137778138347971443: {186008,209259,3688959,3739547,4854443,4989935,5133167,5342210,5987922,6410652,6660983,7633787,8606087,8686898,9153335,9446063,9501087,9515690,9901703,10905410,10975019,10984002,11418828,11566587,11979039,12231143,12294410,12356764,12367199,12612935,12788159,12969359,13086492,13215099,13460027,13626687,14145290,14173367,14594687,14753292,15135522,15266258,15681387,15701452,16091679,16310303,16543739,16957007,16974348,17321259,17334107,17652520,18070463,18607919,19154114,19228610,19366239,19740647,19859085,20132123,20182719,20854103,20879255,20929106,21183024,21388679,21405819,21808940,21813087,21948146,22112104,22251935,22884074,22937735,23074332,23830902,23846187,23985698,24044524,24252159,24308255,24415643,24555122,24732266,24763010,24876117,25055106,25677335,26170728,26221019,26278779,26342267,26394047,26571688,26597783,26702322,27363020,27492159,27525282,27728255,27936412,28750247,28856114,28907963,29169906,29186858,29442069,29614425,29715612,29893149,30315819,30386759,30812802,30829883,30952802,31150007,31252283,31588720,31790087,31924587,31954442,32336618,32511719,32835624,33084626,33273906,33979439,34028603,34331259,34349320,34761659,34879490,35537310,35700347,35945147,36196226,36902663,36940077,37412908,37540727,37631810,37906464,37926687,37934255,38073239,38162807,38166167,38325099,38497403,38642985,39017354,39909160,40297847,40853999,40982423,41219184,41223020,41297090,41364407,41415554,41854604,41855388,41901087,42157005,42372443,42396578,42644772,42861743,43484799,44042690,44386797,44500010,44544647,44642572,44897805,44967472,45158172,45414410,45430487,45521106,45867842,46247979,46371582,46820507,47025323,47120567,47365612,47890992,48101243,48184514,48612290,48908639,48941519,49304507,49467624,49556508,49763594,49977122,50177019,50254967,50588406,51245404,51350210,51423746,51868492,51886679,52133439,52269863,52718090,52841425,52851228,53274088,53400012,53629610,53877366,53963378,54076748,54267239,54497292,54666268,54797339,54996290,55252479,55651077,55868008,55925138,55947143,57240599,57503666,57582687,57970299,57979823,58334748,59092010,59518587,59546939,59731847,59933349,60566540,60676763,61004459,61054504,61063419,61620252,61654418,61900268,62205074,62250503,62596765,62851509,62891522,63261708,63314152,63374187,63409710,63508487,63635210,64355532,64588898,64910379,65067503,65229964,65293887,65677179,65995548,66236603,66737879,66744412,67637024,67665160,67923167,68066255,68686317,68835020,68850623,69158327,69266999,69388535,69700319,69998344,70098203,70435010,70640319,70655579,70724507,70910412,70952543,71228421,71233802,71349225,71369255,71483819,71792810,72068399,72679848,72877307,72918687,73160738,73204283,73207720,73852667,74112044,74477627,74821319,74823225,75026159,75116118,75487750,75548968,76091652,76105840,76123305,76170383,76362252,77075499,77090540,77767922,77907626,77947703,78112343,78204639,78423659,78580587,78748137,79277474,79293023,79469243,79742498,79811440,79914935,79924490,80457087,80734732,80831739,80933879,81026183,81138664,81198192,81679506,81764829,81769425,82358685,82554539,82602024,82605023,82768466,83203547,83266242,83883839,84150578,84193887,84473519,84491255,84522012,84576668,84992589,85331210,85619070,85643106,85885403,85998983,86151372,86242463,86447135,86493179,86681090,87110459,87220720,87257447,87468908,87777448,87808226,87849264,87941932,88077740,88098887,88929290,89277448,89285618,89389119,89423950,89493839,89581823,89787870,89995874,90127839,90585300,90647963,90726410,90940763,90998255,91280997,91327008,91347966,91436843,91541567,91836866,92135848,92315243,92508648,92927277,93808479,94747442,94908459,94975643,95349160,95773728,95897922,95909388,95969639,96210107,96421007,96624320,96737439,96868706,97102587,97135367,97823848,98123310,98749629,98759135,98797610,98830422,98912008,99246443,99481883,99867698,99880305,99908123,...,587361293307490915184948813713146210806377393114613191400702301931571443273364154739130123672709405584779570754767376943936740372137952063902714718684249318264175942357923352753620515927969312741556654484013016555961291105226754004818483780832791910367375044877169619453768176717091915509733596336479610098796998852687768101229707911940135269235931524471705511458783390036608697699214958737577033216215016103621024882129420491071054617282239889547982427880409959473449863744980819721221008919227651122186741739864220680933559015891651694602935591739816467123706650560068656968703231489100708714187682730247693741245782641042457735180898597363535629540690344680995352099839897025043267159596666098395544032126886187566671186648987350742858521858895163614513452313760710582782178456907948884082629169223058303974301468344777098925678235041392792538768822432393543046815551509555654178682288242002553750744028786677039528916703645385416794105371562519683445094882597398692794717452474082739505715960173598121129754762155812527751453719994914648154938264974999726037894863883523072408077268371001831346242507535956105910960424141786684260762960461141712741706704364206504236261308496921302871270034206478239230713659573990225176200836462051582562466932489750985877095345137160475973230203767329436737068183070215426095005494019653193048365166018534134945700438072367682807911012182164400920026255945076760649703140027058765479315207471164268555606439296258379472080815471028806238323579155327470364600431742513160987080788052517884942416958700410539496114152857218422248575084069594762804622994415547377924397539265234835619945530001619103639151582810977479898491557790961809126343810422774581224176501419413529268991300637411463023806366497073758219642101524670808066597646706797512641319617277513233703845747146631157316098591323717326563422940534285535588490986806744088543283762959498725062045569053541702186012066900298103559618419496640045781643253118107318847078985356291815370522985817742079640059401096921255507946517140804058449550040339703837805536025825411301179721257262307120145979074280877966065857941233313242291901042141630020249253155631032319297564954662280952084041751815381771240559402886115057336417083520429957867547170756026160407020236633228157949331740528544973112790367910846303939312020003933938651229583809127668454901968119227922101576507245344747921949461833209488660683471242268315008777446691371010117078857262851794574564324623435481880952760156440725415831097959799793554581939646134354060520300054282480388278696389754591195192623832647475774609468773228501731918681116505335890674556573597118854645937602438304760954925799680547276594617291917329671967190845181394480156090544486050394075012492262945805071417275873875159738037759917393653405997383473680466914707831401657356051829239892283703589915703859168419892055372070595705317285870973464924637298368158571058537492291570558232234797886252330501739999478315621613189284068291746041957560785938266875886248472098695768072798264208695610184258261634579885986767576088318930056550583472047499826746769011415896655662625087174495580975782674428050604124827424614834555119256166275917123022613915593881452507235959127419867370214629352560107130078784122013575505942510260672619924842649502961886611966646163171318093195572829959788360903393651839888637954019924604201115265828926797961921797107671877761870761837078975176900687897032927718846683868676414457293668301760960643791001296396720505163008943344512246426029654088893948491277636462436700562783015610976824641217939509842046391297354870055766839646480020794662342252934777153098384511104874364316063977006704564855588905567167011991755016794536495648914988}
23258  52761428533990724029152216564377674858649052833028893327531103330510290978245: {162757,232510,279012,720037,1347166,1415017,2181646,2459518,2737246,2937637,3107326,3846718,4123726,4492846,4588741,4918612,5230318,5273641,5547097,6426526,7253086,7724377,7983896,8013315,8547536,8902318,8981883,9075817,9085246,9176686,9615978,10455166,10546366,11002126,12094318,12289897,12668116,13002718,13030347,13456318,13749157,14013541,14273535,14362318,14645336,15225104,15422116,15445955,15593797,15972052,15987241,15989086,16358115,16380037,16476003,17033257,17128242,17340766,17448656,17620132,18150046,18168916,18204517,18441615,18535146,19348091,19626815,19628137,19629738,19671056,20033326,20180696,20480686,20908516,21217935,21455572,21555397,21820366,22065650,22129938,22177006,22632464,22703283,22899387,23095012,23250227,23552178,23720041,24099877,24843646,24983641,25286686,25461522,25821652,26171566,26478780,26613406,26910292,27115237,27261175,27640130,27760318,27936526,28024606,28244032,28483417,28541092,28731171,28842915,28978777,29080318,29084116,30055655,30580741,30765776,30834718,31393659,31774536,31794916,31804741,32048677,32336212,32713410,32922219,33168156,33214610,33264037,33406808,34203775,34326111,34592617,34611498,34758718,34833241,34894304,34920515,35038372,35366206,35603096,35746353,35792857,35978547,36032041,36066786,36319246,36628741,36656212,36700376,36832683,36924718,37098399,37144515,37461097,37582659,37816741,38171737,38478046,38893208,39256092,39346538,39485900,39620816,39682606,39819817,39857532,39936997,40053483,40171141,40421092,40541086,41044530,41083736,41287923,41904618,42509518,42566116,42727717,42936650,43284171,43533166,43754859,43780287,43780832,43788718,44222041,44365208,44384446,44573418,44894446,45135577,45775012,46219203,46429203,46614827,46766135,47061541,47182318,47383080,47931663,48408517,48504927,48616846,48869518,48884507,49122046,49253436,49523077,49626939,49710718,49886450,49910859,50541952,50568916,51100132,51388318,51523980,51528775,52318255,52319235,52605541,52642318,52823557,53305965,53422691,53642926,54017497,54142366,54294339,54557317,54772741,54958912,55388446,55399883,55631557,55803215,55807184,55868116,56119362,56209340,56217166,56379241,56447715,56859696,57869806,57979732,58180357,58199566,58526031,59182396,59207015,59334697,59863740,60210896,60272677,60694808,61248551,61663972,61828776,61834530,61945635,62123331,62643241,62781906,62783082,62789326,63359518,63594867,63662041,63854656,63966277,63967158,64056755,64578718,64673641,64822126,64835615,65227486,65956832,66064035,66075344,66105347,66376837,66592610,66750015,66902692,66963858,67006318,67368997,67451208,67595935,67737258,68121615,68281659,68332835,68452057,68616718,68801763,69136741,69511252,69557373,69579886,69660046,69817897,69835010,70108741,70302277,70468304,70996331,71048418,71200016,71579086,71836488,71977726,72057406,72276771,72663056,72792037,72918435,73012318,73171246,73250686,73454041,73669972,74201436,74334762,74598718,74645391,74965683,75140137,75389518,75708175,75882609,76318130,76776916,76805267,76808926,76868106,77025315,77135619,77293732,77351977,77375335,77443237,77779664,77802738,77807557,78117767,78144718,79077135,79142690,79276842,79358116,79701337,79911132,80100018,80100718,80256766,80334766,80444415,80618867,80816049,80945067,81115122,81417892,81537455,81745938,81999402,82089541,82160336,82434718,82494435,83430515,83802012,83887707,83982718,84214366,84348944,84498916,84523006,84546280,84581450,85361797,85595867,85784617,85807376,86043775,86121577,86139166,86255499,86547172,86548007,87058516,87442318,87497930,87502122,87569572,87671806,87994064,88359406,88612057,88638015,88817086,89020837,89350318,89427817,89493971,90213383,90637957,90718057,90849810,90878041,91509650,91581756,92068741,92162939,92304937,92430378,92481627,92640055,92850402,93221618,93307611,93863017,94017241,94039006,94114126,94187092,94264318,94337283,94436210,94547216,94892562,94936537,94971228,95114565,95132300,95388718,95452815,95657723,95770117,96136318,96285646,96363175,96520357,96533298,96669541,96733246,96818437,96883347,96906464,97224916,97454591,97844946,97925977,98517886,98993322,99258766,99480718,99592741,99764300,99950041,...,881041939961236372777423220569719316209566089671919787101053452897357164910046232108695185509064108377169356132151065415905110558206928095854072078026373977396263913536885029130430773891953969112334981726019524833941936657840131007227725671249187865551062567315754429180652265075637873264600394504719415148195498279031652151844561867910202903853897286707558267188175085054913046548822438106365549824322524155431537323194130736606581925923359834321973641820614939210174795617471229581831513378841476683280112609796331021400338523837477541904403387609724700685559975840102985453054847233651063071281524095371540611868673961563686602771347896045303444311035517021493028149759845537564900739394999147593316048190329281350006779973481026114287782788342745421770178470641065874173267685361923326123943753834587455961452202517165648388517352562089188808153233648590314570223327264333481268023432363003830626116043180015559293375055468078125191158057343779525167642323896098039192076178711124109258573940260397181694632143233718791627180579992371972232407397462499589056842295825284608612115902556502747019363761303934158866440636212680026391144440691712569112560056546309756354391962745381954306905051309717358846070489360985337764301254693077373843700398734626478815643017705740713959845305650994155105602274605323139142508241029479789572547749027801202418550657108551524211866518273246601380039383917615140974554710040588148218972811206746402833409658944387569208121223206543209357485368732991205546900647613769741480621182078776827413625438050615809244171229285827633372862626104392144206934491623321066886596308897852253429918295002428655458727374216466219847737336686442713689515715634161871836264752129120293903486950956117194535709549745610637329463152287006212099896470060196268961979425916269850555768620719946735974147886985575989845134410801428303382736480210116132814925644439248087593068353580312553279018100350447155339427629244960068672464879677160978270618478034437723055784478726613119460089101645381883261919775711206087674325060509555756708304038738116951769581885893460680218968611421316949098786911849969863437851563212445030373879733446548478946347431993421428126062627723072656860839104329172586004625625280644936801320756134039240610530354949842236923997610792817459669185551866269455908968030005900907976844375713691502682352952178841883152364760868017121882924192749814232991025206863402472513166170037056515175618285894277691861846486935153222821429140234661088123746646939699690331872909469201531090780450081423720582418044584631886792788935748971213661914203159842752597878021674758003836011834860395678281968906403657457141432388699520820914891925937875994507950786267772091720234135816729075591112518738394418707607125913810812739607056639876090480108996075210520700372061747102486034077743859838425555384873555788752629838083058105893557975928806460197386955947552237856587806238437355837348352196829378495752609999217473432419783926102437619062936341178907400313829372708148043652109197396313043415276387392451869828980151364132478395084825875208071249740120153517123844983493937630761743371463674011642075906187241136922251832678884249413875684533920873390822178760853938691129801055321944028840160695118176183020363258913765391008929887263974254442829917949969244756977139793359244939682541355090477759832956931029886906301672898743390196942882695661507816642806142755618462765351031845549391578270025803014621685940502452641440965686501944595080757744513415016768369639044481133340922736916454693655050844174523416465236961826909264763069586946032305083650259469720031191993513379402165729647576766657311546474095965510056847283383358350750517987632525191804743473372482}
23259  52949787658965268176661252826866979743084580675425132951220899552275483995663: {348765,372016,418518,2020749,3272469,3689277,4105869,4660989,5737069,5770077,6148265,6185589,6739269,6985909,7377918,7479094,7845477,9639789,9708886,9979870,10266334,10684420,10879629,11163529,11975844,11994917,12814669,12821304,12970477,13321966,13353477,13627869,13670101,13765029,14423967,15049661,15267574,15682749,15819549,15835145,16171097,16311709,16503189,17212174,17373796,17658109,18141477,18306670,18892126,18951949,19002174,19031380,19277645,19504077,19512041,19803406,19965065,20184477,20893289,21543477,21810820,21950038,21968004,21991177,22025165,22292317,22672661,22711145,22837656,23133174,23792509,23958078,23983629,24462286,24588820,24713528,24734398,25067309,25225870,25576318,25692363,25938718,26011149,26135645,26172984,26430198,26819465,26920054,27225069,27253374,27571721,27802719,28290580,28346734,28868765,29189374,29230957,29444607,29499229,29506584,30049989,30271044,30532516,30721029,30988477,31152709,31362774,31402904,32112829,32132629,32183358,32277065,32620606,32677349,32730549,33087478,33098475,33194907,33265509,33311597,33637865,33914014,33948696,34031557,34642518,34668214,35305040,35328267,35676365,35948269,36140926,36355145,37215838,37265469,37859261,37930029,38192283,38308228,38457220,38732478,38819557,39257349,39481294,39718170,39743645,39920109,40264246,40365438,40420265,41460195,41640477,41708206,41758510,41858212,41904789,42036909,42366048,42399797,42652549,42777358,42811638,42846877,43617880,43620477,43626174,43797965,43808797,43896292,44224208,44503870,45768148,45820265,45875470,46148664,46252077,47661804,47684381,47692374,47904301,47971396,48089048,48442757,48504318,48616510,48831286,49070115,49110244,49357375,49464532,49526020,49752234,49821915,50110212,50526365,51354670,51917247,52138077,52341456,52442038,52557558,52684534,52788094,53049309,53107957,53143376,53195566,53207645,53404644,54100179,54478869,54726040,54984318,55050564,55387077,55456510,55872824,56021621,57218765,57483437,57500494,57689069,57712228,57717069,57815926,57839977,58339812,58373716,58884138,59019807,59228850,59431224,59523909,59786298,60631638,60773518,60811629,61566795,61625604,61659766,61905604,62300014,62504566,62856927,63177440,63211145,63580174,63764277,63849174,63875165,63908884,64404975,64673236,65023438,65299749,65671248,65683077,66169252,66547812,66576669,66860127,67341669,67646989,67958878,68057206,68521609,68662518,68698640,69523318,69554917,69758980,69835145,70180709,70261675,70773477,71074620,71400694,71890294,72392452,72474665,72645877,72784949,72925269,73304277,73683069,73805326,73880154,73977995,74566077,74825816,74829675,75081454,75263620,75754409,75812928,75853374,75868510,76146478,76325614,76332334,76650198,76994806,77079965,77082477,77285970,78034708,78467477,78963477,79119149,79299901,79818320,80464389,80595694,81213549,81707998,81964846,82438368,82446040,82594180,82728814,82831108,83082669,83628365,83709208,83710776,83802174,84179043,84314010,84325749,84480877,84744886,84793156,85289544,85723486,86804709,86889065,86969598,87118021,87299349,87413117,87635471,87753101,88085380,88773594,89000020,89089294,89285144,89795610,89934944,90316344,90828820,90860974,91042212,91735684,91767677,92087465,92323261,92495958,92743164,92751795,93461189,93641014,94050646,94172859,94174623,94183989,94241134,94536397,94731224,94925669,95039277,95292757,95727497,95781984,95950737,95971145,96202486,96369028,96617165,96868077,97143949,97224580,97233189,97523029,97813661,97817278,97841229,97883038,98609014,98935248,99113016,99197645,99527188,99733001,99888915,99916957,99954244,...,1321562909941854559166134830854578974314349134507879680651580179346035747365069348163042778263596162565754034198226598123857665837310392143781108117039560966094395870305327543695646160837930953668502472589029287250912904986760196510841588506873781798326593850973631643770978397613456809896900591757079122722293247418547478227766842801865304355780845930061337400782262627582369569823233657159548324736483786233147305984791196104909872888885039751482960462730922408815262193426206844372747270068262215024920168914694496532100507785756216312856605081414587051028339963760154478179582270850476594606922286143057310917803010942345529904157021844067955166466553275532239542224639768306347351109092498721389974072285493922025010169960221539171431674182514118132655267705961598811259901528042884989185915630751881183942178303775748472582776028843133783212229850472885471855334990896500221902035148544505745939174064770023338940062583202117187786737086015669287751463485844147058788114268066686163887860910390595772541948214850578187440770869988557958348611096193749383585263443737926912918173853834754120529045641955901238299660954319020039586716661037568853668840084819464634531587944118072931460357576964576038269105734041478006646451882039616060765550598101939718223464526558611070939767958476491232658403411907984708713762361544219684358821623541701803627825985662827286317799777409869902070059075876422711461832065060882222328459216810119604250114488416581353812181834809814814036228053099486808320350971420654612220931773118165241120438157075923713866256843928741450059293939156588216310401737434981600329894463346778380144877442503642983188091061324699329771606005029664070534273573451242807754397128193680440855230426434175791803564324618415955994194728430509318149844705090294403442969138874404775833652931079920103961221830478363984767701616202142455074104720315174199222388466658872131389602530370468829918527150525670733009141443867440103008697319515741467405927717051656584583676718089919679190133652468072824892879663566809131511487590764333635062456058107175427654372828840191020328452917131975423648180367774954795156777344818667545560819600169822718419521147990132142189093941584608985291258656493758879006938437920967405201981134201058860915795532424763355385996416189226189503778327799404183863452045008851361965266563570537254023529428268262824728547141302025682824386289124721349486537810295103708769749255055584772763427428841416537792769730402729834232143710351991632185619970409549535497809364203802296636170675122135580873627066876947830189183403623456820492871304739764128896817032512137005754017752290593517422953359605486185712148583049281231372337888906813991761926179401658137580351203725093613386668778107591628061410688870716219109410584959814135720163494112815781050558092620653729051116615789757638333077310333683128944757124587158840336963893209690296080433921328356784881709357656033756022528295244067743628914998826210148629675889153656428594404511768361100470744059062222065478163796094469565122914581088677804743470227046198717592627238812812106874610180230275685767475240906446142615057195511017463113859280861705383377749018326374120813526800881310086233268141280908036694701582982916043260241042677264274530544888370648086513394830895961381664244876924953867135465709690038867409523812032635716639749435396544830359452509348115085295414324043492261724964209214133427694148026547768324087367405038704521932528910753678962161448529752916892621136616770122525152554458566721700011384105374682040482576266261785124697855442740363897144604380419048457625475389204580046787990270069103248594471365149985967319711143948265085270925075037526125776981448787787707115210058723}
23260  53138814819653771571514166260378066856081050451995028584458042211414845249529: {325514,465020,558024,627777,1368859,1440074,1646419,2339059,2694332,2830034,3994051,4131499,4363292,4543411,4919036,5365291,5474492,5502019,5875274,5911771,6214652,7272931,7693436,8086171,8221459,8247452,8761891,8896819,8985692,9166459,9177482,9837224,10107931,10242139,10460636,10547282,11066877,11094194,11179579,11218641,11580259,11847019,12778411,12853052,12911179,13355525,13970731,14498779,14506172,14563329,14630611,14969805,15399501,15448754,15967792,16026630,16206979,17095072,17804636,17963766,18151634,18170492,18353372,18552091,19231956,19328611,19982949,20359939,20910332,21092732,21258571,21624337,21717245,21770491,21898291,22004252,22536211,22901361,22918099,23789225,24188636,24439171,24579794,25336232,25447459,25818261,26005436,26060694,26075299,26200651,26325931,26912636,26951251,27076099,27263525,27460005,27477541,27498314,28027082,28196491,28338189,28503261,28547070,28724636,29290672,29705109,29927731,30450208,30736025,30788059,30844232,30891910,30915137,31187594,31400419,31944104,31974482,31978172,32376451,32498131,32716230,32760074,32925057,32952006,33105451,33831859,34066514,34256484,34681532,34699761,34897312,34916611,35240264,35363225,35937117,36300092,36337832,36409034,36592411,36693429,36883230,37070292,37101597,37838805,38165645,38364477,38696182,38908077,39253630,39256274,39259476,39342112,39645297,40066652,40135891,40361392,40380081,40836811,40880061,40961372,41817032,42077917,42435870,42520101,42911144,43110794,43269619,43640732,43784061,43844179,44073499,44131300,44259876,44354012,44645539,45264928,45406566,45443371,45798774,46190024,46500454,47028451,47044161,47104356,47141131,47440082,47885285,48071525,48152011,48199754,48275037,48888721,48930909,48934219,49268371,49631217,49687292,49712899,49967282,50266939,50573372,50871021,50923044,51643304,51963777,52002321,52322765,52343132,52683331,52957560,53226812,53336299,53820584,54094819,54211389,54230474,54310891,54522350,54870365,55280260,55520636,55708339,55823757,55873052,56049212,56455771,56488064,56881291,56966834,57082184,57210185,57462342,57623179,57685830,57957554,58098717,58160636,58168232,58361539,59096371,59221941,59514691,59577255,59964245,60111310,60140011,60396369,60548157,60762739,60969739,61161482,61387805,61485979,61531552,61669436,61830665,61907525,62205691,62562309,62637765,62787318,63125851,63549072,63589832,63609482,64097354,64166037,64217457,64343659,64672424,65426820,65439261,65472589,65844438,65851339,66250651,66336312,66429220,66528074,66648811,66755805,66813616,67045819,67639171,68407550,68622331,68652222,68813205,69185234,69222996,69517436,69666482,69695491,69788608,69841030,70076744,70732412,71206192,71492706,71538561,71585714,71957094,72006691,72064082,72133572,72140285,72387859,72638492,72672979,72756477,72924765,72967145,73245557,73246929,73257482,73312424,73400752,73665366,73849436,73901011,73994971,74196798,74289030,74463691,74628351,74922194,75165318,75209899,75633482,76343474,76956092,77032005,77055259,77382005,77785339,77786416,78124501,78239299,78512184,78663057,78693076,78836337,78971800,79026801,79141819,79182141,79241632,79365212,79639634,79715064,79793349,79873994,79886105,80106966,80342282,80482099,80841545,80842184,80925259,81082172,81440381,82089060,82167472,82243939,82476477,82575846,82711565,82853779,82889821,83184765,83287219,83804971,83809236,83891011,84662131,85019036,85088011,85132232,85455434,85873300,86250741,86438731,86568342,86723889,86857051,87066332,87198725,87509718,87522619,87560574,87561664,87577436,88326207,88444082,88594339,88730416,88768892,88839931,88843275,89146836,89679447,89679457,89788892,89815819,90219379,90271154,90380299,90490565,90769861,90941251,90947457,91160277,91339771,91419259,91550024,92438406,92489649,92858406,93229654,93450021,93532270,93538219,93756849,94079525,94123082,94364636,94634309,94766160,94845451,94921699,95225971,95370261,95665969,95773761,95831059,95863326,96817034,97009854,97233692,97323619,97397491,97535157,97543385,97739036,97769014,98059099,98244092,98506872,98787379,99046154,99253878,99421436,99508459,99772900,99821718,99821909,...,1762083879922472745554846441139438632419132179343839574202106905794714329820092464217390371018128216754338712264302130831810221116413856191708144156052747954792527827073770058260861547783907938224669963452039049667883873315680262014455451342498375731102125134631508858361304530151275746529200789009438830296390996558063304303689123735820405807707794573415116534376350170109826093097644876212731099648645048310863074646388261473213163851846719668643947283641229878420349591234942459163663026757682953366560225219592662042800677047674955083808806775219449401371119951680205970906109694467302126142563048190743081223737347923127373205542695792090606888622071034042986056299519691075129801478789998295186632096380658562700013559946962052228575565576685490843540356941282131748346535370723846652247887507669174911922904405034331296777034705124178377616306467297180629140446654528666962536046864726007661252232086360031118586750110936156250382316114687559050335284647792196078384152357422248218517147880520794363389264286467437583254361159984743944464814794924999178113684591650569217224231805113005494038727522607868317732881272425360052782288881383425138225120113092619512708783925490763908613810102619434717692140978721970675528602509386154747687400797469252957631286035411481427919690611301988310211204549210646278285016482058959579145095498055602404837101314217103048423733036546493202760078767835230281949109420081176296437945622413492805666819317888775138416242446413086418714970737465982411093801295227539482961242364157553654827250876101231618488342458571655266745725252208784288413868983246642133773192617795704506859836590004857310917454748432932439695474673372885427379031431268323743672529504258240587806973901912234389071419099491221274658926304574012424199792940120392537923958851832539701111537241439893471948295773971151979690268821602856606765472960420232265629851288878496175186136707160625106558036200700894310678855258489920137344929759354321956541236956068875446111568957453226238920178203290763766523839551422412175348650121019111513416608077476233903539163771786921360437937222842633898197573823699939726875703126424890060747759466893096957892694863986842856252125255446145313721678208658345172009251250561289873602641512268078481221060709899684473847995221585634919338371103732538911817936060011801815953688751427383005364705904357683766304729521736034243765848385499628465982050413726804945026332340074113030351236571788555383723692973870306445642858280469322176247493293879399380663745818938403062181560900162847441164836089169263773585577871497942427323828406319685505195756043349516007672023669720791356563937812807314914282864777399041641829783851875751989015901572535544183440468271633458151182225037476788837415214251827621625479214113279752180960217992150421041400744123494204972068155487719676851110769747111577505259676166116211787115951857612920394773911895104475713175612476874711674696704393658756991505219998434946864839567852204875238125872682357814800627658745416296087304218394792626086830552774784903739657960302728264956790169651750416142499480240307034247689966987875261523486742927348023284151812374482273844503665357768498827751369067841746781644357521707877382259602110643888057680321390236352366040726517827530782017859774527948508885659835899938489513954279586718489879365082710180955519665913862059773812603345797486780393885765391323015633285612285511236925530702063691098783156540051606029243371881004905282881931373003889190161515489026830033536739278088962266681845473832909387310101688349046832930473923653818529526139173892064610167300518939440062383987026758804331459295153533314623092948191931020113694566766716701501035975265050383609486946744964}
23261  53328512369766471017174653749961341617123029724417117085887731188986250485963: {488271,581275,697530,744032,837036,2160111,3367915,4041498,4245051,5454115,5876431,6148795,6544938,6712603,6843115,7378554,7768315,8211738,8607571,8812911,9321978,9616795,10309315,10467259,11232115,11474138,11540154,11995951,12296530,12371178,13075795,13478538,13523851,13766223,13971818,14175811,14755836,14958188,15480403,15559819,15690954,15820923,16066315,16172491,16641291,16959931,17785963,18073579,18132715,18534403,19279578,19417772,19513723,19744051,19959740,20532668,20857699,21151471,21368840,21759258,21874771,22169203,22255795,22327058,22713115,22941715,23173131,23351323,23951688,23989834,24039945,25629338,25642608,25940954,26137915,26365915,26643932,26706954,26794963,26945649,26988703,27227451,27239311,27255738,27340202,27505315,27530058,27951091,27969811,28847934,28916683,29473219,30099322,30235795,30535148,30835231,31365498,31639098,31670290,31795603,32342194,32506795,32623418,33006378,33640795,34424348,34747592,35316218,35905795,36282954,36521743,36589903,36613340,36869691,37547251,37784252,37831711,37903898,38004348,38062760,38367439,38555290,39008154,39024082,39091041,39368251,39606812,39649003,39736531,39930130,39972715,40368954,40416271,41247471,41394991,41786578,42040623,42079903,42820605,43086954,43351915,43621640,43900076,43936008,43982354,44050330,44434651,44584634,44654371,44742763,45187891,45345322,45375115,45422290,45426799,45675312,46266348,46337865,46781391,47093011,47585018,47916156,47961723,47967258,48446959,48924572,48950011,49027603,49074345,49140111,49177640,49427056,49428009,49468796,49909603,49946911,49955851,50083315,50108851,50134618,50341891,50451740,50897203,50972959,51099771,51152636,51175903,51201715,51384726,51877436,52022298,52271290,52345968,52860396,53473519,53638930,53840108,54450138,54506748,54550915,54613551,55143442,55164125,55324845,55442515,55605438,55641103,56485231,56581160,56588371,56693468,56925391,57250531,57737530,57920659,57989899,58044273,58378748,58461914,58754383,58880445,58884411,58889214,58992571,58998458,59013168,59732083,60099978,60495919,60542088,61065032,61317151,61442058,61619203,61976954,62109115,62305418,62725548,62805808,63216715,63653805,63957451,64148371,64225658,64265258,64366716,64554130,64666191,65001211,65241212,65354698,65428915,65461098,66174956,66196950,66389814,66531018,66533515,66623194,67275730,67750699,67828028,67851811,67897392,67934971,68063114,68109849,68698161,69100325,69285036,69336428,69400795,69750681,69841315,69998731,70061515,70610080,70656534,70736911,70964851,71160123,71352730,71896538,72281852,72299631,72700795,72710290,73847503,74431676,74490703,74530938,74853091,74950923,75718522,75860058,76384566,76616456,76914440,77086795,77228191,77464956,77478511,77639114,78437263,78514698,78962588,78972091,79436340,79487290,79840218,80106271,80181151,80528492,80560783,80730876,80840530,80978851,81345711,81783525,82920390,83036525,83280954,83345491,83416412,83517020,83716424,83809578,84073818,84405019,84732096,84799594,85305098,85450251,85554716,85623276,85693754,86193513,86528745,86896795,86936331,87235760,87240954,87252348,87272611,87595930,87617594,87792584,87916939,88415515,88448416,88495603,88615711,88822603,89007740,89425231,90166965,90234031,90798115,91146571,91520203,91536296,91640530,91742223,91750940,92297328,92311795,92504154,92734291,93805039,93864331,94180977,94243291,94933903,95323608,95349199,95368762,95384748,95414223,95808602,95942792,95986291,96146031,96178096,96195115,96885514,96895759,97008636,97233020,97623091,97662572,97769203,97822219,98111131,98140230,98220488,98366345,98714750,98766657,98929064,99052040,99206515,99504468,99643830,99792111,99799051,...,2643125819883709118332269661709157948628698269015759361303160358692071494730138696326085556527192325131508068396453196247715331674620784287562216234079121932188791740610655087391292321675861907337004945178058574501825809973520393021683177013747563596653187701947263287541956795226913619793801183514158245444586494837094956455533685603730608711561691860122674801564525255164739139646467314319096649472967572466294611969582392209819745777770079502965920925461844817630524386852413688745494540136524430049840337829388993064201015571512432625713210162829174102056679927520308956359164541700953189213844572286114621835606021884691059808314043688135910332933106551064479084449279536612694702218184997442779948144570987844050020339920443078342863348365028236265310535411923197622519803056085769978371831261503762367884356607551496945165552057686267566424459700945770943710669981793000443804070297089011491878348129540046677880125166404234375573474172031338575502926971688294117576228536133372327775721820781191545083896429701156374881541739977115916697222192387498767170526887475853825836347707669508241058091283911802476599321908638040079173433322075137707337680169638929269063175888236145862920715153929152076538211468082956013292903764079232121531101196203879436446929053117222141879535916952982465316806823815969417427524723088439368717643247083403607255651971325654572635599554819739804140118151752845422923664130121764444656918433620239208500228976833162707624363669619629628072456106198973616640701942841309224441863546236330482240876314151847427732513687857482900118587878313176432620803474869963200659788926693556760289754885007285966376182122649398659543212010059328141068547146902485615508794256387360881710460852868351583607128649236831911988389456861018636299689410180588806885938277748809551667305862159840207922443660956727969535403232404284910148209440630348398444776933317744262779205060740937659837054301051341466018282887734880206017394639031482934811855434103313169167353436179839358380267304936145649785759327133618263022975181528667270124912116214350855308745657680382040656905834263950847296360735549909590313554689637335091121639200339645436839042295980264284378187883169217970582517312987517758013876875841934810403962268402117721831591064849526710771992832378452379007556655598808367726904090017702723930533127141074508047058856536525649457094282604051365648772578249442698973075620590207417539498510111169545526854857682833075585539460805459668464287420703983264371239940819099070995618728407604593272341350244271161747254133753895660378366807246913640985742609479528257793634065024274011508035504581187034845906719210972371424297166098562462744675777813627983523852358803316275160702407450187226773337556215183256122821377741432438218821169919628271440326988225631562101116185241307458102233231579515276666154620667366257889514249174317680673927786419380592160867842656713569763418715312067512045056590488135487257829997652420297259351778307312857188809023536722200941488118124444130956327592188939130245829162177355609486940454092397435185254477625624213749220360460551371534950481812892285230114391022034926227718561723410766755498036652748241627053601762620172466536282561816073389403165965832086520482085354528549061089776741296173026789661791922763328489753849907734270931419380077734819047624065271433279498870793089660718905018696230170590828648086984523449928418428266855388296053095536648174734810077409043865057821507357924322897059505833785242273233540245050305108917133443400022768210749364080965152532523570249395710885480727794289208760838096915250950778409160093575980540138206497188942730299971934639422287896530170541850150075052251553962897575575414230420117446}
23262  53518882671252026796498894409339436506864523465750245379970234563931869846399: {255761,651028,930040,1046295,1116048,1230077,1255554,1368977,1415261,1692797,2062397,2385377,2737718,2880148,3030161,3292838,3765137,4177661,4406561,4589537,4678118,5137697,5365757,5388664,5548061,5660068,5775761,6062247,6185117,7988102,8262998,8726584,9086822,9167261,9346877,9817407,9838072,10730582,10913057,10948984,11004038,11067831,11750548,11823542,11848061,11892497,12292061,12317607,12429304,12779537,12956561,13442717,13982967,14016017,14500061,14544017,14545862,15386872,15596561,16172342,16208417,16442918,16494904,16905761,17123261,17211207,17310231,17523782,17793638,17971384,18164477,18332918,18354964,18424061,18444795,18556767,18596957,18697735,19114877,19674448,19717661,20215862,20217807,20484278,20533217,20921272,20957727,21094564,21644561,21900257,22070561,22133754,22188388,22359158,22437282,22962557,23160518,23536431,23694038,23724317,24188561,24272215,24441377,24567677,24949675,24988157,25449761,25491677,25556822,25665835,25706104,25822358,25868561,26711050,26953697,27120161,27494237,27701777,27941462,28571261,28919367,28942817,28997558,29012344,29126658,29261222,29939610,30217661,30404143,30586337,30799002,30897508,31076897,31810577,31935584,32053260,32413958,32419997,32638887,32865761,33108497,33304915,33490587,33633437,34190144,34237457,34679261,34919837,35609272,35919137,35927532,35984751,36303268,36340984,36516317,36536071,36635537,36706744,37104182,37309757,37468061,37823777,38168935,38444007,38463912,38657222,38911431,39827261,39965898,40022561,40060431,40178657,40719878,40883607,41010303,41295087,41539037,41820664,42119057,42185464,42389117,42517142,43030435,43248674,43271901,43434490,43540982,43796582,43848317,44008504,44115857,44421137,44687837,45072422,45148983,45220061,45599261,45766675,45802722,45836198,46392977,47048247,47070497,47145617,47230315,47295761,47458647,47505435,47578450,47857661,48377272,48513291,48827357,48878342,48935127,48976061,49159588,49508515,49509567,49754657,49865597,50672464,50894918,51411197,51636522,51959777,52010872,52121388,52150598,52401302,52470161,52651862,52688417,52974327,53431903,53825272,53902502,54100061,54152198,54424431,54527050,54855137,54875095,54920010,54955082,54996628,55499537,55713761,55749437,55856417,56034557,56054164,56248061,56392982,56461277,56676378,56855847,57006522,57094140,57449272,57628817,57832935,58191761,58512231,58536123,58581344,59102177,59206877,59410218,59729297,59855462,59895195,60553431,60803261,60900416,61155715,61472050,61576118,61688464,61783820,61830274,61835261,61835995,62143457,62314397,62375188,62679867,62800838,62826017,63064675,63888208,63940795,63948964,63956344,64046561,64630431,64752902,64846795,64996262,65055761,65390561,65432460,65520148,65850114,65857937,65891261,65904012,65973531,66075495,66091037,66210902,66589217,66876951,67039399,67052561,67085597,67300135,67663718,68017983,68133028,68133435,68335037,68512968,68531261,68661917,69150737,69345761,69363064,69399522,69794624,69833222,70477661,70480528,70726450,70866835,71377527,71727377,71874234,71950887,72236561,72522077,72600184,72675664,72680417,72818068,72973435,73184822,73251871,73343261,73386858,73626257,73766460,73845917,74140584,74203194,74284061,74471357,75201927,75217661,75341597,75677610,75959357,76174817,76331290,76728954,76818511,76879997,77077089,77093777,77246237,77392364,77793437,77816154,77823761,78033447,78247457,78406935,78507260,78512548,78518952,78549137,78684224,79290594,80094259,80133304,80223761,80271782,80458395,80520161,80722784,80760162,80845277,80963261,81287057,81375197,81551515,81673622,81675207,81760122,81922744,82252637,82456337,82715163,82718695,83324897,83408157,83634064,83949943,84155834,84614237,84699617,84785035,84871740,85040202,85125437,85295261,85605857,85718561,85822288,85942927,86221588,86539238,86562931,86606295,86670535,86949857,87056959,87281464,87532061,87559697,87568122,87688358,87692871,88055777,88146998,88262600,88333821,88497687,88519752,88631261,88708024,89291078,89447261,90094877,90149967,90352315,90416957,90529856,90657761,90813132,90886742,90951197,91217117,91429277,91455761,91597548,91825697,91983761,92163087,92377661,92380048,92795837,92874017,92965431,93000908,93039595,93458127,94056902,94088322,94208712,94282262,94855997,94880164,94957661,95236577,95489297,95615357,95770570,95841761,96143050,96217661,96247723,96304022,96338487,96397887,96399508,96442337,96550074,96831195,97334561,97433057,97703261,97777442,97861818,97868438,98032047,98191647,98536742,98677661,98703235,99262434,99295425,99374584,99376097,99425798,99543677,99584721,99796527,99901457,99934564,99934791,99972797,...,3964688729825563677498404492563736922943047403523639041954740538038107242095208044489128334790788487697262102594679794371572997511931176431343324351118682898283187610915982631086938482513792861005507417767087861752738714960280589532524765520621345394979781552920894931312935192840370429690701775271237368166879742255642434683300528405595913067342537790184012202346787882747108709469700971478644974209451358699441917954373588314729618666655119254448881388192767226445786580278620533118241810204786645074760506744083489596301523357268648938569815244243761153085019891280463434538746812551429783820766858429171932753409032827036589712471065532203865499399659826596718626673919304919042053327277496164169922216856481766075030509880664617514295022547542354397965803117884796433779704584128654967557746892255643551826534911327245417748328086529401349636689551418656415566004972689500665706105445633517237817522194310070016820187749606351563360211258047007863254390457532441176364342804200058491663582731171787317625844644551734562322312609965673875045833288581248150755790331213780738754521561504262361587136925867703714898982862957060118760149983112706561006520254458393903594763832354218794381072730893728114807317202124434019939355646118848182296651794305819154670393579675833212819303875429473697975210235723954126141287084632659053076464870625105410883477956988481858953399332229609706210177227629268134385496195182646666985377650430358812750343465249744061436545504429444442108684159298460424961052914261963836662795319354495723361314471227771141598770531786224350177881817469764648931205212304944800989683390040335140434632327510928949564273183974097989314818015088992211602820720353728423263191384581041322565691279302527375410692973855247867982584185291527954449534115270883210328907416623214327500958793239760311883665491435091954303104848606427365222314160945522597667165399976616394168807591111406489755581451577012199027424331602320309026091958547224402217783151154969753751030154269759037570400957404218474678638990700427394534462772293000905187368174321526282963118486520573060985358751395926270944541103324864385470332034456002636682458800509468155258563443970396426567281824753826955873775969481276637020815313762902215605943402603176582747386597274290066157989248567678568511334983398212551590356135026554085895799690711611762070588284804788474185641423906077048473158867374164048459613430885311126309247765166754318290282286524249613378309191208189502696431131055974896556859911228648606493428092611406889908512025366406742620881200630843490567550210870370461478613914219292386690451097536411017262053256871780552268860078816458557136445749147843694117013666720441975285778538204974412741053611175280840160006334322774884184232066612148657328231754879442407160490482338447343151674277861961187153349847369272914999231931001049386834271373761476521010891679629070888241301763985070354645128072968101268067584885732203230886744996478630445889027667460969285783213535305083301412232177186666196434491388283408695368743743266033414230410681138596152777881716438436320623830540690827057302425722719338427845171586533052389341577842585116150133247054979122362440580402643930258699804423842724110084104748948748129780723128031792823591634665111944259540184492687884144992734630774861601406397129070116602228571436097907149919248306189634491078357528044345255886242972130476785174892627642400283082444079643304972262102215116113565797586732261036886484345589258750677863409850310367575457663375700165100034152316124046121447728798785355374093566328221091691433813141257145372876426167613740140363970810207309745783414095449957901959133431844795255812775225112578377330944346363363121345630176169}
23263  53709928094326169110150080711317547353620676033553537591082900243916561295744: {813785,976542,1162550,1395060,1488064,1674072,1883331,3600185,4106577,4320222,4715081,4939257,6735830,6944873,7017177,7075085,7502321,7635761,8082996,8490102,8608313,9580361,10875641,10908230,10977857,11752862,11982153,12297590,12370397,12394497,13089876,13425206,13463513,13630233,13686230,14177033,14433041,14598461,14688185,14757108,15536630,15724961,15982733,16095873,16423476,16506057,16548017,16961393,17215142,17625822,17735313,18075137,18306113,18388877,18643956,18955217,19233590,19745753,20137337,20618630,20714921,20859497,20934518,21818793,22296161,22464230,22492841,22941833,22943705,22948276,23080308,23991902,24258513,24593060,24664377,24742356,24890381,24997193,25385801,26151590,26285673,26368205,26690457,26957076,27047702,27499377,27532446,27735485,27748457,27943636,28351622,28757693,29511672,29916376,30323793,30726417,30910937,30960806,31113281,31119638,31158113,31260377,31381908,31641846,31745741,31798361,32118401,32132630,32191913,32344982,33200631,33282582,33538737,33655923,33919862,34740777,35541057,35571926,35709593,36147158,36265430,36593081,36912281,37068806,38335233,38507441,38559156,38621885,38733537,38835544,38897393,39027446,39488102,39919480,40066575,40523393,40993037,41065336,41715398,41912193,42302942,42330113,42383417,42737680,43496337,43518516,43689987,43749542,43891833,44338406,44411417,44511590,44654116,44909415,45013481,45343337,45379085,45426230,45442253,45509513,45883430,45934361,46198503,46346262,46702646,46832633,47097113,47903376,47979668,48079890,48620937,48921353,48954257,49662257,50268113,50463017,50573561,51258676,51285216,51632033,51881908,52275830,52408817,52731830,52797593,53287864,53413908,53478161,53589926,53686217,53891298,53977406,54454902,54478622,54511476,54680404,55010630,55060116,55656273,55781321,55902182,55939622,55961801,56490137,57255497,57411161,57695868,57833366,57850013,57985833,57989417,58946438,59038733,59948847,60198644,60471590,60692681,60746057,61002161,61070296,61079817,61449485,61670462,62730996,63195977,63278196,63340580,63525161,63591206,63775713,63851537,64684388,64873011,65013590,65151735,65246836,65311473,65694873,66012756,66755273,67281590,67608633,68533517,68704083,68745785,68754297,68848696,68868521,69092297,69495184,69718493,70067705,70116641,70632436,71072153,71367675,71481857,71495177,71682401,71811590,72423161,72565908,73043486,73179806,73226680,73317513,73739382,74960177,75094502,75568504,75636893,75663422,75807796,75834377,76008696,76125520,76342377,76371281,76734878,76819613,77110580,77229775,77454783,77619521,77968985,78016308,78048164,78182082,78225897,78601953,78736502,78977793,79213624,79298006,79313657,79403633,79473062,79860260,79936205,79945430,80737908,80832542,80853753,81228297,81790575,81900185,82180793,82380015,82432623,82494942,82725773,82789982,83291657,83455361,83573156,83659337,84081246,84159806,84589473,85014567,85166285,85509783,85641210,86173908,86703830,86952761,87243280,87800152,87872016,87964708,88100660,88503401,88522337,88869302,89115327,89169268,89308742,89485526,89605181,89783193,90375782,90690644,90750230,90844580,90853598,91022585,91350624,91565513,91600481,92208075,92364177,92532696,92675730,92745411,93146921,93230861,93330653,93562782,94186022,94201257,95170036,95832312,95923446,95934516,95994617,96740455,96849497,96893918,97129353,97161113,97494393,97539977,97777841,97849144,97900022,98055206,98086121,98134075,98140685,98148690,98280222,98355280,98775171,98854112,98856018,98937592,99272321,99316353,99625217,99819206,99893822,99911702,...,5286251639767418236664539323418315897257396538031518722606320717384142989460277392652171113054384650263016136792906392495430663349241568575124432468158243864377583481221310174782584643351723814674009890356117149003651619947040786043366354027495127193306375403894526575083913590453827239587602367028316490889172989674189912911067371207461217423123383720245349603129050510329478279292934628638193298945935144932589223939164784419639491555540159005931841850923689635261048773704827377490989080273048860099680675658777986128402031143024865251426420325658348204113359855040617912718329083401906378427689144572229243671212043769382119616628087376271820665866213102128958168898559073225389404436369994885559896289141975688100040679840886156685726696730056472530621070823846395245039606112171539956743662523007524735768713215102993890331104115372535132848919401891541887421339963586000887608140594178022983756696259080093355760250332808468751146948344062677151005853943376588235152457072266744655551443641562383090167792859402312749763083479954231833394444384774997534341053774951707651672695415339016482116182567823604953198643817276080158346866644150275414675360339277858538126351776472291725841430307858304153076422936165912026585807528158464243062202392407758872893858106234444283759071833905964930633613647631938834855049446176878737435286494166807214511303942651309145271199109639479608280236303505690845847328260243528889313836867240478417000457953666325415248727339239259256144912212397947233281403885682618448883727092472660964481752628303694855465027375714965800237175756626352865241606949739926401319577853387113520579509770014571932752364245298797319086424020118656282137094293804971231017588512774721763420921705736703167214257298473663823976778913722037272599378820361177613771876555497619103334611724319680415844887321913455939070806464808569820296418881260696796889553866635488525558410121481875319674108602102682932036565775469760412034789278062965869623710868206626338334706872359678716760534609872291299571518654267236526045950363057334540249824232428701710617491315360764081313811668527901694592721471099819180627109379274670182243278400679290873678084591960528568756375766338435941165034625975035516027753751683869620807924536804235443663182129699053421543985664756904758015113311197616735453808180035405447861066254282149016094117713073051298914188565208102731297545156498885397946151241180414835078997020222339091053709715365666151171078921610919336928574841407966528742479881638198141991237456815209186544682700488542323494508267507791320756733614493827281971485218959056515587268130048548023016071009162374069691813438421944742848594332197124925489351555627255967047704717606632550321404814900374453546675112430366512245642755482864876437642339839256542880653976451263124202232370482614916204466463159030553332309241334732515779028498348635361347855572838761184321735685313427139526837430624135024090113180976270974515659995304840594518703556614625714377618047073444401882976236248888261912655184377878260491658324354711218973880908184794870370508955251248427498440720921102743069900963625784570460228782044069852455437123446821533510996073305496483254107203525240344933072565123632146778806331931664173040964170709057098122179553482592346053579323583845526656979507699815468541862838760155469638095248130542866558997741586179321437810037392460341181657296173969046899856836856533710776592106191073296349469620154818087730115643014715848645794119011667570484546467080490100610217834266886800045536421498728161930305065047140498791421770961455588578417521676193830501901556818320187151961080276412994377885460599943869278844575793060341083700300150104503107925795151150828460840234892}
23264  53901651017500443468310395508074129405892797140229281431347688961729651413206: {302263,511522,859399,1302056,1415383,1464813,1554199,1743825,1860080,2092590,2232096,2247199,2460154,2511108,2737954,2830522,3385594,4124794,4452703,4770754,4864183,5138143,5475436,5760296,6060322,6231103,6480333,6585676,7530274,8355322,8813122,9179074,9356236,10103745,10275394,10422799,10731514,10777328,11092399,11096122,11320136,11551522,11893543,12124494,12370234,12426199,12735153,13885063,14545303,15597943,15976204,16362345,16515223,16525996,17453168,17629293,18173644,18209383,18334522,18446385,18468943,18693754,19634814,19676144,19762423,20137809,20529345,21461164,21826114,21897968,22008076,22072543,22135662,23304945,23501096,23647084,23696122,23784994,24232903,24584122,24635214,24738199,24858608,25493983,25559074,25822713,25870903,25913122,26176829,26438733,26497663,26747863,26885434,27247399,27965934,28032034,28615183,28685345,28850385,28986703,29000122,29088034,29091724,29110399,30741325,30773744,30927945,31079743,31193122,31401777,31569199,32344684,32416834,32885836,32989808,33696345,33811522,33981101,34246522,34422414,34620462,34929545,35047564,35587276,35922463,35932169,35942768,35987853,36328954,36665836,36709928,36848122,36889590,37113534,37193914,37395470,37471543,37590199,38182399,38229754,38300623,39227385,39243823,39348896,39435322,39948199,40065343,40431724,40435614,40571553,40968556,41066434,41298669,41581663,41842544,41915454,42189128,42277399,42527433,42855199,43178993,43289122,43546183,43800514,44141122,44267508,44376776,44718316,44874564,45262303,45925114,46321036,46397383,46441209,46626881,46679457,47072862,47300263,47388076,47448634,47462769,47862223,48198945,48377122,48517473,48544430,48882754,49135354,49648399,49899350,49923873,49976314,50879793,50899522,50983354,51113644,51331670,51412208,51644716,51737122,52293103,52947799,53357889,53422100,53436509,53907394,54220737,54240322,54398145,54988474,55003903,55403554,55603209,55754863,55817645,55882924,56075623,57142522,57838734,57881023,57885634,57995116,58024688,58253316,58302799,58522444,58541169,59232153,59352199,59879220,59974585,60242609,60435322,60808286,61172674,61598004,61795016,62153794,62573097,62866303,63454413,63579463,63621154,63871168,64073345,64106520,64491199,64827916,64839994,64852385,65095783,65277774,65397103,65624313,65731522,65897863,66122441,66216994,66507609,66609830,66767385,66981174,67092343,67266874,68139345,68350505,68380288,68474914,68570863,68825145,69311921,69352783,69358522,69519393,69839674,69936199,70053969,70517023,71218544,71838274,71855064,71969502,72119835,72606536,72681968,72909223,73032634,73072142,73271074,73413488,73853503,74208364,74322943,74619514,74697199,74936122,75163399,75248305,75647554,75998023,76337870,76825133,76888014,76927824,77314444,77467399,77822862,77831863,77922799,78413745,79097745,79175725,79654522,79726399,79931796,80045122,80120862,80357314,80384889,80836947,80855485,80966109,81439756,81558545,81682353,81717933,81767214,82020606,82515945,82590174,83078074,83641328,83853273,83909433,84238114,84370928,84537799,84778234,85034284,85618001,85896583,86060870,86497348,86543802,86570393,86750049,86868980,87081964,87569143,87593164,87696634,88017008,88231714,88290545,88394623,88419657,88804663,88842274,89049823,89375674,89517113,90144844,90297966,90440122,90667663,90707385,90747799,90785513,91198522,91465783,91533350,91605444,91672396,92505693,92785954,93507199,94096494,94140994,94220189,94291234,94460630,94591522,94759745,94917294,95010870,95156900,95386809,95715322,96388225,96627463,96754544,96925399,97026582,97520385,97560205,97654714,97738783,97756684,97870254,97952122,98032399,98319176,98397799,98688823,99017030,99019134,99213569,99411343,99509314,99731194,99825325,99912823,...,7929377459651127354996808985127473845886094807047278083909481076076214484190416088978256669581576975394524205189359588743145995023862352862686648702237365796566375221831965262173876965027585722011014835534175723505477429920561179065049531041242690789959563105841789862625870385680740859381403550542474736333759484511284869366601056811191826134685075580368024404693575765494217418939401942957289948418902717398883835908747176629459237333310238508897762776385534452891573160557241066236483620409573290149521013488166979192603046714537297877139630488487522306170039782560926869077493625102859567641533716858343865506818065654073179424942131064407730998799319653193437253347838609838084106654554992328339844433712963532150061019761329235028590045095084708795931606235769592867559409168257309935115493784511287103653069822654490835496656173058802699273379102837312831132009945379001331412210891267034475635044388620140033640375499212703126720422516094015726508780915064882352728685608400116983327165462343574635251689289103469124644625219931347750091666577162496301511580662427561477509043123008524723174273851735407429797965725914120237520299966225413122013040508916787807189527664708437588762145461787456229614634404248868039878711292237696364593303588611638309340787159351666425638607750858947395950420471447908252282574169265318106152929741250210821766955913976963717906798664459219412420354455258536268770992390365293333970755300860717625500686930499488122873091008858888884217368318596920849922105828523927673325590638708991446722628942455542283197541063572448700355763634939529297862410424609889601979366780080670280869264655021857899128546367948195978629636030177984423205641440707456846526382769162082645131382558605054750821385947710495735965168370583055908899068230541766420657814833246428655001917586479520623767330982870183908606209697212854730444628321891045195334330799953232788337615182222812979511162903154024398054848663204640618052183917094448804435566302309939507502060308539518075140801914808436949357277981400854789068925544586001810374736348643052565926236973041146121970717502791852541889082206649728770940664068912005273364917601018936310517126887940792853134563649507653911747551938962553274041630627525804431211886805206353165494773194548580132315978497135357137022669966796425103180712270053108171791599381423223524141176569609576948371282847812154096946317734748328096919226861770622252618495530333508636580564573048499226756618382416379005392862262111949793113719822457297212986856185222813779817024050732813485241762401261686981135100421740740922957227828438584773380902195072822034524106513743561104537720157632917114272891498295687388234027333440883950571557076409948825482107222350561680320012668645549768368464133224297314656463509758884814320980964676894686303348555723922374306699694738545829998463862002098773668542747522953042021783359258141776482603527970140709290256145936202536135169771464406461773489992957260891778055334921938571566427070610166602824464354373332392868982776566817390737487486532066828460821362277192305555763432876872641247661081381654114604851445438676855690343173066104778683155685170232300266494109958244724881160805287860517399608847685448220168209497897496259561446256063585647183269330223888519080368985375768289985469261549723202812794258140233204457142872195814299838496612379268982156715056088690511772485944260953570349785255284800566164888159286609944524204430232227131595173464522073772968691178517501355726819700620735150915326751400330200068304632248092242895457597570710748187132656442183382867626282514290745752852335227480280727941620414619491566828190899915803918266863689590511625550450225156754661888692726726242691260352338}
23265  54094053827611055375253804969560729006749047239790414817942219315486930692313: {767283,1139299,1627570,1953084,2325100,2790120,2976128,3138885,3348144,3690231,3766662,4106931,4245783,5040259,5078391,6187191,6844295,7156131,7200370,8213154,8232095,8384947,8640444,9090483,9430162,9878514,9905119,11295411,11695295,12532983,12973831,13219683,13471660,13526183,13768611,13889746,14034354,14150170,15004642,15271522,15413091,16097271,16165992,16315927,16644183,16980204,17216626,17327283,18186741,18537599,18555351,18956851,19160722,19970255,20563459,20657495,21751282,21816460,21878543,21955714,22298083,22717055,23258567,23505724,23798671,23964306,24595180,24740794,24788994,26179752,26606959,26826455,26850412,26927026,27260466,27372460,27501783,27510095,28040631,28267391,28354066,28866082,29196922,29376370,29452221,29514216,29558855,31073260,31449922,31606607,31965466,32121187,32140951,32191746,32739171,32793631,32846952,33012114,33096034,33203493,33922786,34430284,34773667,34837319,35039567,35251644,35470626,35544183,35677491,36150274,36364655,36612226,36777754,36876183,36915487,36952821,37287912,37910434,38338611,38467180,38829679,38869683,39491506,40274674,40328151,40430855,41107295,41237260,41429842,41718994,41869036,41948901,42048051,42410819,43500183,43632051,43637586,43809455,43820143,43923143,44210531,44484095,44592322,44928460,44985682,45290851,45832295,45883666,45887410,45896552,46160616,46789683,47983804,48117859,48455363,48517026,48625251,49186120,49328754,49484712,49780762,49964519,49994386,50539655,50717283,50771602,51210695,51369783,51481559,51633621,51930693,52287919,52303180,52571346,52736410,53380914,53914152,54070639,54095404,54286063,54493431,54998754,55064892,55272183,55334385,55470970,55496914,55670301,55790871,55887272,55897895,56093205,56703244,57344631,57498419,57515386,57855031,57901295,58509767,59002823,59023344,59152983,59235095,59638111,59832752,60647586,60653421,61452834,61599651,61821874,61921612,62226562,62239276,62316226,62520754,62763816,62873181,63201463,63283692,63491482,63511283,63530719,63596722,63892055,64219907,64236802,64265260,64383826,64555895,64689964,64933683,65053631,65526959,65700771,66211683,66401262,66565164,66761071,66777625,67077474,67311846,67839724,68887671,69481554,69853655,70609293,71009543,71082114,71143852,71172951,71419186,72093463,72294316,72493895,72530860,72565683,72816645,73153055,73186162,73324131,73703031,73824562,73857283,74003303,74137612,74849025,74866079,74964471,76349283,76475031,76670466,76997505,77014882,77118312,77243770,77467074,77605683,77671088,77794786,78054892,78488003,78616771,78976204,79838960,79981319,80133150,80861091,81034895,81046786,81360483,81986074,82130672,82482711,83017159,83105331,83430796,83824386,84535351,84605884,84660226,84766834,85475360,85713783,86029279,86115103,86758101,86828451,86992674,87037032,87379974,87436019,87499084,87783666,88676812,88822834,88838039,88924583,89023180,89308232,89818830,90026962,90652983,90686674,90758170,90852460,90884506,91019026,91212429,91759011,91766860,91772327,91868722,92397006,92692524,92760455,93230691,93405292,93665266,94194226,94950371,95431731,95806752,95959336,96159780,96244099,96355523,96643055,97241874,97259991,97842706,97908514,97916661,98094787,98597283,98629063,99324514,99325491,99758927,99914745,...,11894066189476691032495213477691210768829142210570917125864221614114321726285624133467385004372365463091786307784039383114718992535793529294029973053356048694849562832747947893260815447541378583016522253301263585258216144880841768597574296561864036184939344658762684793938805578521111289072105325813712104500639226766927304049901585216787739202027613370552036607040363648241326128409102914435934922628354076098325753863120764944188855999965357763346644164578301679337359740835861599354725430614359935224281520232250468788904570071805946815709445732731283459255059673841390303616240437654289351462300575287515798260227098481109769137413196596611596498198979479790155880021757914757126159981832488492509766650569445298225091529641993852542885067642627063193897409353654389301339113752385964902673240676766930655479604733981736253244984259588204048910068654255969246698014918068501997118316336900551713452566582930210050460563248819054690080633774141023589763171372597323529093028412600175474990748193515361952877533933655203686966937829897021625137499865743744452267370993641342216263564684512787084761410777603111144696948588871180356280449949338119683019560763375181710784291497062656383143218192681184344421951606373302059818066938356544546889955382917457464011180739027499638457911626288421093925630707171862378423861253897977159229394611875316232650433870965445576860197996688829118630531682887804403156488585547940000956132951291076438251030395749232184309636513288333326326052477895381274883158742785891509988385958063487170083943413683313424796311595358673050533645452409293946793615636914834402969050170121005421303896982532786848692819551922293967944454045266976634808462161061185269789574153743123967697073837907582126232078921565743603947752555874583863348602345812649630986722249869642982502876379719280935650996474305275862909314545819282095666942482836567793001496199929849182506422773334219469266744354731036597082272994806960927078275875641673206653349453464909261253090462809277112711202872212655424035916972101282183603388316879002715562104522964578848889355459561719182956076254187778812833623309974593156410996103368007910047376401528404465775690331911189279701845474261480867621327908443829911062445941288706646817830207809529748242159791822870198473967745703035705534004950194637654771068405079662257687399072134835286211764854414365422556924271718231145419476602122492145378840292655933378927743295500262954870846859572748840134927573624568508089293393167924689670579733685945819480284277834220669725536076099220227862643601892530471702650632611111384435841742657877160071353292609233051786159770615341656806580236449375671409337247443531082351041000161325925857335614614923238223160833525842520480019002968324652552696199836445971984695264638327221481471447015342029455022833585883561460049542107818744997695793003148160502814121284429563032675038887212664723905291955211063935384218904303804202754657196609692660234989435891337667083002382907857349640605915249904236696531559998589303474164850226086106231229798100242691232043415788458333645149315308961871491622072481171907277168158015283535514759599157168024733527755348450399741164937367087321741207931790776099413271528172330252314246846244389342169384095378470774903995335832778620553478063652434978203892324584804219191387210349806685714308293721449757744918568903473235072584133035767658728916391430355524677882927200849247332238929914916786306645348340697392760196783110659453036767776252033590229550931102726372990127100495300102456948372138364343186396356066122280698984663275074301439423771436118629278502841220421091912430621929237350242286349873705877400295534385767438325675337735131992833039090089364036890528507}
23266  54287138919847814647500588762120957971799675624288641704095707135871157890795: {604526,1023044,1718798,2441355,2478013,2604112,2830766,2906375,2929626,3108398,3444433,3487650,3720160,3857533,4132573,4185180,4464192,4494398,4920308,5022216,5229853,5475908,5503453,5649993,5661044,6049789,6731089,6771188,8223613,8249588,8899153,8905406,9541508,9728366,10244833,10276286,10800555,10914973,10950872,11520592,12120644,12319731,12462206,12648913,12914593,12960666,13171352,13312573,14145243,14634493,14766289,14817771,15060548,16710644,16839575,17626244,17907793,18358148,18712472,19204513,20207490,20550788,20834619,20845598,21051531,21225255,21463028,21554656,21904189,22184798,22192244,22506963,22640272,22669693,22907283,23103044,23787086,24248988,24572113,24740468,24852398,25470306,25824939,26207773,26333089,27083473,27270575,27770126,28328353,28741083,29090606,29382155,30059089,30743975,31164253,31195886,31952408,32507089,32626923,32628733,32724690,32933571,33030446,33051992,33563015,33720289,34215575,34324189,34906336,35046493,35258586,35946459,36005533,36347288,36418766,36602593,36669044,36840913,36892770,36937886,37111191,37183491,37387508,38841575,39269628,39352288,39524846,39560893,40159483,40275618,40381153,40390539,40890699,41058690,41546833,42474193,42531099,42922328,43037855,43281853,43299123,43652228,43795383,43795936,44016152,44064555,44145086,44200573,44271324,46477213,46609890,47002192,47154589,47174883,47294168,47392244,47569988,47777939,47948199,48083975,48287619,48465806,48901363,49168244,49270428,49476398,49518171,49644051,49717216,49949089,50392033,50884179,50987966,51029719,51118148,51164413,51494353,51546575,51645426,51741806,51826244,52336295,52353658,52807633,52877466,52995326,53205939,53495726,53770868,54225411,54494798,54918339,55166631,55931868,56064068,56160575,56865651,57110353,57230366,57370690,57700770,57973406,58000244,58176068,58183448,58220798,59008993,59218513,59237259,59741053,59979755,60261793,60412011,61482650,61547488,61855890,62144763,62159486,62224189,62326753,62386244,62578491,62803554,62838493,63138398,63144673,64261789,64689368,64833668,65378975,65456379,65771672,65979616,66370273,66668893,66888483,67392690,67478523,67619255,67623044,67758289,67962202,68493044,68825499,68831115,68844828,69240924,69619453,69813853,69859090,70095128,70104913,70879055,71174552,71844926,71864338,71885536,71975706,72657908,72775539,73331672,73419856,73696244,73779180,73923793,73993131,74017789,74227068,74387828,74486689,74671143,74790940,74943086,74953789,74991579,75180398,76157403,76252093,76364798,76459508,76601246,77170813,77402015,77799095,78144703,78454770,78487646,78697792,78857019,78870644,78986653,79104615,79896398,80071371,80130686,80331575,80507473,80862289,80862455,80863448,80871228,81143106,81937112,82132868,82270033,82498131,82597338,82966993,83163326,83206455,83245371,83685088,83830908,83917789,83964419,84347089,84378256,84554798,84689233,84774589,84799655,85054866,85115293,85710398,86273079,86357986,86550433,86578244,86885089,86968573,87092366,87601028,88282244,88535016,88753552,88929815,89436632,89702683,89749128,90367895,90490273,90524606,90663575,90793339,90971379,91449313,91850228,92179251,92642072,92672015,92732811,92794766,92882418,93253762,93258493,93339843,93358914,93474339,93781131,93801553,94145724,94600526,94776152,94897268,94925538,94953373,95237223,95333713,95395083,95690707,95724446,96355203,96397890,96575739,96754244,97034946,97088860,97430353,97504189,97568615,97765508,97945693,98270708,98720255,99296798,99398653,99601893,99614113,99757393,99798700,99847746,99952628,...,15858754919302254709993617970254947691772189614094556167818962152152428968380832177956513339163153950789048410378719177486291990047724705725373297404474731593132750443663930524347753930055171444022029671068351447010954859841122358130099062082485381579919126211683579725251740771361481718762807101084949472667518969022569738733202113622383652269370151160736048809387151530988434837878803885914579896837805434797767671817494353258918474666620477017795525552771068905783146321114482132472967240819146580299042026976333958385206093429074595754279260976975044612340079565121853738154987250205719135283067433716687731013636131308146358849884262128815461997598639306386874506695677219676168213309109984656679688867425927064300122039522658470057180090190169417591863212471539185735118818336514619870230987569022574207306139645308981670993312346117605398546758205674625662264019890758002662824421782534068951270088777240280067280750998425406253440845032188031453017561830129764705457371216800233966654330924687149270503378578206938249289250439862695500183333154324992603023161324855122955018086246017049446348547703470814859595931451828240475040599932450826244026081017833575614379055329416875177524290923574912459229268808497736079757422584475392729186607177223276618681574318703332851277215501717894791900840942895816504565148338530636212305859482500421643533911827953927435813597328918438824840708910517072537541984780730586667941510601721435251001373860998976245746182017717777768434736637193841699844211657047855346651181277417982893445257884911084566395082127144897400711527269879058595724820849219779203958733560161340561738529310043715798257092735896391957259272060355968846411282881414913693052765538324165290262765117210109501642771895420991471930336741166111817798136461083532841315629666492857310003835172959041247534661965740367817212419394425709460889256643782090390668661599906465576675230364445625959022325806308048796109697326409281236104367834188897608871132604619879015004120617079036150281603829616873898714555962801709578137851089172003620749472697286105131852473946082292243941435005583705083778164413299457541881328137824010546729835202037872621034253775881585706269127299015307823495103877925106548083261255051608862423773610412706330989546389097160264631956994270714274045339933592850206361424540106216343583198762846447048282353139219153896742565695624308193892635469496656193838453723541244505236991060667017273161129146096998453513236764832758010785724524223899586227439644914594425973712370445627559634048101465626970483524802523373962270200843481481845914455656877169546761804390145644069048213027487122209075440315265834228545782996591374776468054666881767901143114152819897650964214444701123360640025337291099536736928266448594629312927019517769628641961929353789372606697111447844748613399389477091659996927724004197547337085495045906084043566718516283552965207055940281418580512291872405072270339542928812923546979985914521783556110669843877143132854141220333205648928708746664785737965553133634781474974973064133656921642724554384611111526865753745282495322162763308229209702890877353711380686346132209557366311370340464600532988219916489449762321610575721034799217695370896440336418995794992519122892512127171294366538660447777038160737970751536579970938523099446405625588516280466408914285744391628599676993224758537964313430112177381023544971888521907140699570510569601132329776318573219889048408860464454263190346929044147545937382357035002711453639401241470301830653502800660400136609264496184485790915195141421496374265312884366765735252565028581491505704670454960561455883240829238983133656381799831607836533727379181023251100900450313509323777385453452485382520704676}
23267  54480908697783179707436000087436408562482089838170452684837890420209533109435: {906789,1278805,1534566,2278598,2578197,3255140,3906168,4246149,4394439,4650200,4662597,5231475,5580240,5952256,6150385,6277770,6696288,6741597,6844885,7076305,7380462,7409413,7533324,8213862,8463985,8491566,9081757,9582013,10080518,10156782,10311985,11524933,11926885,11999053,12374382,13358109,13527349,13688590,14312262,14400740,14592549,15054853,15150805,15414429,15985489,16176673,16373413,16426308,16464190,16769894,17090293,17280888,18180966,18539197,18693309,18825685,18860324,19440999,19518769,19757028,19810238,20718493,20888305,20900497,21156949,21880429,22032805,22590822,22680493,22945789,22947685,23390590,24046993,24710653,24894673,25065966,25075957,25688485,25947662,25994869,26439366,26828785,26943320,27052366,27537222,27581233,27740305,27779492,27958357,28068708,28300340,28766749,28878805,28920493,30009284,30311235,30543044,30826182,30925585,31268397,31803877,32194542,32331984,32631854,32688637,33277197,33288366,33786373,33960408,34433252,34654566,35177713,35345893,35680629,36373482,37075198,37110702,37278597,37557037,37841509,37913702,38205459,38321444,38514133,39161869,39891973,39940510,41126918,41171377,41314990,41382397,41655189,42097117,43502564,43632920,43635909,43757086,43911428,44596166,45434110,45836305,46517134,46734385,46793829,47011448,47597342,47700853,47928612,48962749,49087035,49190360,49481588,49545669,49577988,49968853,50121877,50354929,50471773,50910517,51189157,51909169,52359504,52887879,53057269,53213918,53652910,53700824,53761189,53854052,54520932,54565285,54628149,54744920,55003566,55020190,55339155,55406829,56040973,56081262,56534782,56603197,56708132,57265429,57503413,57538213,57550213,57708997,57732164,58005013,58393844,58752740,58904442,59028432,59048977,59117710,59240305,59287269,59295133,59462485,60117469,60413427,60511693,60838693,61333237,61460305,61588035,62146520,62277733,62899844,63213214,63617773,63897685,63930932,63974077,64165213,64242374,64281902,64383492,64782805,65393269,65478342,65587262,65693904,66024228,66192068,66217629,66396853,66406986,66518749,67213585,67524757,67845572,67952677,68860568,69547334,69674638,69730609,69914835,70079134,70080085,70205053,70503288,70755517,70941252,71088366,71354982,71514949,71694973,71775493,72300548,72500305,72698709,72720085,72729310,73224452,73236013,73555508,73752366,73830974,73905642,74009749,74214597,74575824,74872573,75058789,75650017,75820868,76481949,76677222,76934360,77204497,77468139,77612709,77659358,77739366,77982805,78257053,78530487,78755629,78983012,78992749,79316199,79492989,80243589,80549348,80656302,80861710,81042085,81061813,81742197,82214590,82474520,82640893,82859684,82929133,83367157,83437988,83673853,83738072,83897802,83920369,84096102,84528805,84821638,85616305,85845549,86056035,86530669,86551155,86960109,87000366,87087109,87264102,87275172,87295357,87331197,87458449,87618910,87640286,87846286,87939973,88421062,88968190,89184644,89448877,89620753,89856920,89971364,90378253,90581702,90822385,91170337,91664590,91767332,91774820,91793104,91799509,92120305,92223975,92321232,92758549,92783835,92984785,93112069,93239229,93488675,93493693,93579366,94205331,94523377,94707597,95374213,95574385,95967608,96011269,96235718,96652177,96756973,96910726,97034052,97250502,97795117,98101453,98372240,98588305,98657508,98969424,99289573,99561524,99825253,99929038,99988772,...,23788132378953382064990426955382421537658284421141834251728443228228643452571248266934770008744730926183572615568078766229437985071587058588059946106712097389699125665495895786521630895082757166033044506602527170516432289761683537195148593123728072369878689317525369587877611157042222578144210651627424209001278453533854608099803170433575478404055226741104073214080727296482652256818205828871869845256708152196651507726241529888377711999930715526693288329156603358674719481671723198709450861228719870448563040464500937577809140143611893631418891465462566918510119347682780607232480875308578702924601150575031596520454196962219538274826393193223192996397958959580311760043515829514252319963664976985019533301138890596450183059283987705085770135285254126387794818707308778602678227504771929805346481353533861310959209467963472506489968519176408097820137308511938493396029836137003994236632673801103426905133165860420100921126497638109380161267548282047179526342745194647058186056825200350949981496387030723905755067867310407373933875659794043250274999731487488904534741987282684432527129369025574169522821555206222289393897177742360712560899898676239366039121526750363421568582994125312766286436385362368688843903212746604119636133876713089093779910765834914928022361478054999276915823252576842187851261414343724756847722507795954318458789223750632465300867741930891153720395993377658237261063365775608806312977171095880001912265902582152876502060791498464368619273026576666652652104955790762549766317485571783019976771916126974340167886827366626849592623190717346101067290904818587893587231273829668805938100340242010842607793965065573697385639103844587935888908090533953269616924322122370539579148307486247935394147675815164252464157843131487207895505111749167726697204691625299261973444499739285965005752759438561871301992948610551725818629091638564191333884965673135586002992399859698365012845546668438938533488709462073194164545989613921854156551751283346413306698906929818522506180925618554225422405744425310848071833944202564367206776633758005431124209045929157697778710919123438365912152508375557625667246619949186312821992206736015820094752803056808931551380663822378559403690948522961735242655816887659822124891882577413293635660415619059496484319583645740396947935491406071411068009900389275309542136810159324515374798144269670572423529708828730845113848543436462290838953204244984290757680585311866757855486591000525909741693719145497680269855147249137016178586786335849379341159467371891638960568555668441339451072152198440455725287203785060943405301265222222768871683485315754320142706585218466103572319541230683313613160472898751342818674494887062164702082000322651851714671229229846476446321667051685040960038005936649305105392399672891943969390529276654442962942894030684058910045667171767122920099084215637489995391586006296321005628242568859126065350077774425329447810583910422127870768437808607608405509314393219385320469978871782675334166004765815714699281211830499808473393063119997178606948329700452172212462459596200485382464086831576916667290298630617923742983244144962343814554336316030567071029519198314336049467055510696900799482329874734174643482415863581552198826543056344660504628493692488778684338768190756941549807990671665557241106956127304869956407784649169608438382774420699613371428616587442899515489837137806946470145168266071535317457832782860711049355765854401698494664477859829833572613290696681394785520393566221318906073535552504067180459101862205452745980254200990600204913896744276728686372792712132244561397969326550148602878847542872237258557005682440842183824861243858474700484572699747411754800591068771534876651350675470263985666078180178728073781057014}
23268  54675365573401402195440852691379759930271207336366710127705700376518261492552: {395267,952307,1209052,1369331,1554467,1646987,1831931,2046088,2301849,2339867,2524331,3168947,3417897,3437596,3490667,4068925,4178747,4544987,4865027,4882710,4956026,5208224,5230307,5275931,5503931,5549507,5661532,5777267,5812750,5859252,5913827,6216796,6888866,6975300,7049027,7440320,7592147,7715066,7953587,8265146,8370360,8404667,8928384,8988796,9079787,9349331,9416655,9840616,10044432,10424627,10459706,10514027,10951816,11006906,11070693,11183507,11299986,11322088,11361731,12099578,12295307,12320793,12428387,12737349,12915731,12959987,13092707,13462178,13542376,13578731,13975667,14283947,14635787,15120777,15235173,15819467,16212731,16387307,16447226,16499176,17040827,17692547,17798306,17810812,18000925,18428987,18558707,18561573,19083016,19249331,19456732,19636907,19851947,20489666,20532885,20538731,20552572,21468393,21601110,21778307,21829946,21901744,22076507,22204187,22459331,22714187,23041184,23095931,23575405,24241288,24321587,24574331,24639462,24696285,24924412,25154841,25297826,25829186,25921332,26342704,26502467,26625146,26836067,27085931,27127547,27252347,27271449,28082507,28290486,28372307,28703027,29268986,29532578,29635542,29715357,30121096,30799331,31167107,31207931,31574987,31656467,32266547,32874827,33279347,33421288,33679150,33886233,34005467,34724365,34809227,35049731,35085885,35089787,35252488,35375425,35809427,35815586,36008867,36048731,36645731,36716296,36844331,37424944,37511605,37597187,37598949,38178805,38189507,38386547,38409026,38662067,38921493,39659049,39838427,39955667,40033787,40150907,40384931,40414980,40578549,41101576,41135017,41305833,41550731,41589467,41669238,41691196,42103062,42450510,42516731,42926056,43041565,43109312,43808378,44090147,44242931,44369596,44384488,44433731,44662427,45004931,45013926,45280544,45339386,45612227,45814566,45952931,46206088,46239273,46481627,46988221,47046347,47309267,47574172,47609267,47901805,47983547,48291813,48394331,48497976,48947781,48952931,49101587,49144226,49480936,49546787,49704796,49731947,49879931,49932549,50286227,50940612,51169331,51649878,51981849,52303187,52415546,52666178,52812731,52849067,53398873,54166946,54378205,54541150,54560223,54763427,54889285,55540252,55612797,55666053,55872731,56464837,56656706,56870553,57115931,57151307,57482166,57962747,58181212,58314227,58384427,58699931,58764310,59224331,59538107,59910765,60118178,60252997,60302387,60786731,61131731,61441547,61487950,61647731,61690377,61851985,61956467,61972485,62328506,62391772,62844731,62878787,63659867,63904816,64504067,64571387,65014178,65175827,65253846,65257466,65410187,65449380,65635629,65867142,66011027,66060892,66103984,66210731,66410147,66894249,67126030,67317565,67440578,67666427,68151165,68355731,68431150,68648378,68650067,69041507,69464267,69658931,69775701,69812672,69853307,70092986,70144331,70337987,70499147,70517172,70885165,70917227,71396013,71749331,71892918,71940587,72011066,72165205,72258707,72353987,72544331,72694576,72829307,72837532,72992305,73205186,73270813,73338088,73365827,73440925,73460267,73648931,73681826,73785540,73875772,73931387,74222382,74306987,74366982,74712587,74774867,74775016,75178907,75240947,75364931,76567067,77087267,77361731,77683150,77817731,77939027,78539256,78624805,78704576,78754427,78994907,79024931,79049692,79121786,79820877,79913665,80318966,80338067,80479365,80545547,80551236,80762306,80781078,80959331,81400931,81781398,82117380,82278731,82395227,82505349,82530285,82740085,83093666,83149331,83971657,84121893,84184547,84726731,84802173,84806965,84948386,85062198,85152731,85407467,85830587,85844656,86075710,86563706,86587667,86598246,87304456,87590766,87591872,87670931,87974267,88032304,88129110,88290172,88356663,88401146,88468547,88542648,88676565,88878467,89611787,89854931,90375685,90767627,90901067,91326731,91485827,91530565,91855931,91944385,92014067,92355707,92486747,92643731,92904731,92954426,93219780,93268787,93579587,93682931,94004384,94069331,94300307,94309178,94349766,94588336,94666957,94776085,94784488,94819821,94963931,94989347,95139976,95192387,95344331,95555878,95823587,95896398,96167950,96324947,96363561,96422853,96575238,96698867,96872747,96931612,96996707,97441307,97465931,97802726,97809827,97956731,97981187,98103347,98217513,98336488,98380893,98540856,98728765,98952796,99036342,99230677,99288102,99433907,99434432,99610479,99649331,99768731,99898178,...,35682198568430073097485640433073632306487426631712751377592664842342965178856872400402155013117096389275358923352118149344156977607380587882089919160068146084548688498243843679782446342624135749049566759903790755774648434642525305792722889685592108554818033976288054381816416735563333867216315977441136313501917680300781912149704755650363217606082840111656109821121090944723978385227308743307804767885062228294977261589362294832566567999896073290039932493734905038012079222507584798064176291843079805672844560696751406366713710215417840447128337198193850377765179021524170910848721312962868054386901725862547394780681295443329307412239589789834789494596938439370467640065273744271378479945497465477529299951708335894675274588925981557628655202927881189581692228060963167904017341257157894708019722030300791966438814201945208759734952778764612146730205962767907740094044754205505991354949010701655140357699748790630151381689746457164070241901322423070769289514117791970587279085237800526424972244580546085858632601800965611060900813489691064875412499597231233356802112980924026648790694053538361254284232332809333434090845766613541068841349848014359049058682290125545132352874491187969149429654578043553033265854819119906179454200815069633640669866148752372392033542217082498915373734878865263281776892121515587135271583761693931477688183835625948697951301612896336730580593990066487355891595048663413209469465756643820002868398853873229314753091187247696552928909539864999978978157433686143824649476228357674529965157874190461510251830241049940274388934786076019151600936357227881840380846910744503208907150510363016263911690947598360546078458655766881903833362135800929904425386483183555809368722461229371903091221513722746378696236764697230811843257667623751590045807037437948892960166749608928947508629139157842806952989422915827588727943637457846287000827448509703379004488599789547547519268320002658407800233064193109791246818984420882781234827626925019619960048360394727783759271388427831338133608616637966272107750916303846550810164950637008146686313568893736546668066378685157548868228762563336438500869929923779469232988310104023730142129204585213397327070995733567839105536422784442602863983725331489733187337823866119940453490623428589244726479375468610595421903237109107116602014850583912964313205215238986773062197216404505858635294563243096267670772815154693436258429806367476436136520877967800136783229886500788864612540578718246520404782720873705524267880179503774069011739201057837458440852833502662009176608228297660683587930805677591415107951897833334153307525227973631480214059877827699155358479311846024970419740709348127014228011742330593247053123000483977777572006843844769714669482500577527561440057008904973957658088599509337915954085793914981664444414341046026088365068500757650684380148626323456234993087379009444481508442363853288689098025116661637994171715875865633191806152656712911412608263971589829077980704968307674013001249007148723572048921817745749712710089594679995767910422494550678258318693689394300728073696130247365375000935447945926885614474866217443515721831504474045850606544278797471504074200583266045351199223494812101261965223623795372328298239814584516990756942740538733168026508152286135412324711986007498335861660434190957304934611676973754412657574161631049420057142924881164349273234755706710419705217752399107302976186749174291066574033648781602547741996716789744750358919936045022092178280590349331978359110303328756100770688652793308179118970381301485900307370845116415093029559189068198366842096953989825222904318271314308355887835508523661263275737291865787712050726859049621117632200886603157302314977026013205395978499117270268092110671585521}
23269  54870511967127772244751182864731484438379079649438624544403524817961515118228: {23269,1511315,1790327,1813578,2557610,3069132,4296995,4557196,5156394,6510280,7076915,7324065,7434039,7770995,7812336,7920407,8492298,8610539,8719125,8756579,8788878,9300400,9325194,9582839,9906827,10150199,10333299,10462950,11160480,11235995,11572599,11849579,11904512,12300770,12397719,12555540,13392576,13483194,13689770,14152610,14180699,14436779,14760924,14818826,15066648,15565187,15689559,15986867,16427724,16510359,16697639,16927970,16949979,16965779,16983132,17792099,18079811,18149367,18163514,19164026,19750859,20161036,20193267,20197619,20313564,20623970,20720279,20864891,21211127,22263515,22947767,23049866,23359379,23853770,23998106,24320915,24670839,24748764,24896819,25003667,25690715,26355959,26611547,26697459,26716218,26804219,26876051,27054698,27377180,28624524,28801480,28926659,29185098,29203499,29243627,29483387,30109706,30301610,30734499,30828858,30845927,31121339,31155515,31970978,32126759,32314007,32353346,32401665,32744919,32746826,32852616,32928380,33539788,33997067,34180586,34561776,35963879,36361932,36534359,36893699,36959193,37078394,37386618,37560299,37651370,37720648,37946739,38743779,38836427,38881998,38907467,39037538,39514056,39620476,39937719,40430327,41436986,41772419,41776610,41800994,42094439,42313898,42435729,42883979,43295819,43760858,43903479,44065610,44298867,44453313,45025139,45181644,45360986,45891578,45895370,46781180,47049719,47145059,48093986,49044539,49421306,49789346,50131932,50151914,50476151,50518725,50586659,50990567,51376970,51895324,51989738,52113995,52811267,52878732,53657570,53723379,53886640,54104732,54825767,55074444,55162466,55461995,55480610,55558984,55916714,56137416,56600680,56716391,57533498,57613539,57757610,57840986,57865067,57940667,58010051,58774679,59054099,59467715,59648459,60018568,60622470,61018067,61086088,61652364,61851170,62130995,62503857,62536794,62552459,63154593,63607754,63675765,64170827,64389084,64663968,65101259,65263708,65377274,65428139,65712567,66271031,66554394,66576732,66721079,67520889,67572746,67920816,67958579,68009079,68551379,68721849,68866504,69309132,69425315,70355426,70691786,70989467,71361258,71500439,71513819,72726515,72746964,73117091,73716339,74150396,74221404,74557194,75114074,75656579,75683018,75827404,76209899,76391399,76410918,76642888,76725527,77028266,77474817,77988299,77989715,78323738,78464471,78613067,78623319,78999267,79783946,79881020,81250419,81811725,82253836,82342754,82576115,82597367,82629980,82648067,82764794,82936427,83247479,83310378,83681111,84194234,84517667,84550019,84968147,84985059,85929959,86044427,86223249,86287379,86440547,87005128,87265840,87271818,87302939,87466067,87514172,87822856,88146465,89192332,89456759,89540267,90177267,90695927,90868220,91046915,91484279,91672610,91991987,92231925,92344715,92363351,93034268,93355067,93468770,93492759,93587658,94022896,94099019,94276067,95194684,95401706,95857224,97521267,97565399,97880769,97886199,97925498,98112119,98174070,98380720,98800713,98812115,98963176,99091338,99155976,99533591,99833987,99937706,...,47576264757906764129980853910764843075316568842283668503456886456457286905142496533869540017489461852367145231136157532458875970143174117176119892213424194779398251330991791573043261790165514332066089013205054341032864579523367074390297186247456144739757378635050739175755222314084445156288421303254848418002556907067709216199606340867150956808110453482208146428161454592965304513636411657743739690513416304393303015452483059776755423999861431053386576658313206717349438963343446397418901722457439740897126080929001875155618280287223787262837782930925133837020238695365561214464961750617157405849202301150063193040908393924439076549652786386446385992795917919160623520087031659028504639927329953970039066602277781192900366118567975410171540270570508252775589637414617557205356455009543859610692962707067722621918418935926945012979937038352816195640274617023876986792059672274007988473265347602206853810266331720840201842252995276218760322535096564094359052685490389294116372113650400701899962992774061447811510135734620814747867751319588086500549999462974977809069483974565368865054258738051148339045643110412444578787794355484721425121799797352478732078243053500726843137165988250625532572872770724737377687806425493208239272267753426178187559821531669829856044722956109998553831646505153684375702522828687449513695445015591908636917578447501264930601735483861782307440791986755316474522126731551217612625954342191760003824531805164305753004121582996928737238546053153333305304209911581525099532634971143566039953543832253948680335773654733253699185246381434692202134581809637175787174462547659337611876200680484021685215587930131147394771278207689175871777816181067906539233848644244741079158296614972495870788295351630328504928315686262974415791010223498335453394409383250598523946888999478571930011505518877123742603985897221103451637258183277128382667769931346271172005984799719396730025691093336877877066977418924146388329091979227843708313103502566692826613397813859637045012361851237108450844811488850621696143667888405128734413553267516010862248418091858315395557421838246876731824305016751115251334493239898372625643984413472031640189505606113617863102761327644757118807381897045923470485311633775319644249783765154826587271320831238118992968639167291480793895870982812142822136019800778550619084273620318649030749596288539341144847059417657461690227697086872924581677906408489968581515361170623733515710973182001051819483387438290995360539710294498274032357173572671698758682318934743783277921137111336882678902144304396880911450574407570121886810602530444445537743366970631508640285413170436932207144639082461366627226320945797502685637348989774124329404164000645303703429342458459692952892643334103370081920076011873298610210784799345783887938781058553308885925885788061368117820091334343534245840198168431274979990783172012592642011256485137718252130700155548850658895621167820844255741536875617215216811018628786438770640939957743565350668332009531631429398562423660999616946786126239994357213896659400904344424924919192400970764928173663153833334580597261235847485966488289924687629108672632061134142059038396628672098934111021393801598964659749468349286964831727163104397653086112689321009256987384977557368677536381513883099615981343331114482213912254609739912815569298339216876765548841399226742857233174885799030979674275613892940290336532143070634915665565721422098711531708803396989328955719659667145226581393362789571040787132442637812147071105008134360918203724410905491960508401981200409827793488553457372745585424264489122795938653100297205757695085744474517114011364881684367649722487716949400969145399494823509601182137543069753302701350940527971332156360357456147562114028}
23270  55066350307857964764437445068642714471502648120218500826921210062833608762502: {441769,790534,998761,1415749,1554601,1693381,1904614,2247781,2386201,2418104,2720367,2738662,2939161,3108934,3215209,3293974,3663862,3836415,4092176,4591129,4603698,4679734,4865449,5048662,5276389,5549989,5696495,6337894,6369061,6835794,6875192,6981334,7049641,7734591,7999429,8137850,8357494,9089974,9350149,9730054,9765420,9912052,10416448,10460614,10551862,10559641,11007862,11095321,11099014,11323064,11554534,11625500,11718504,11827654,12433592,12738447,12961129,13183317,13624069,13777732,13950600,13987791,14020969,14098054,14285209,14880640,15184294,15430132,15694425,15907174,16388761,16530292,16650409,16740720,16809334,17303269,17694121,17856768,17977592,18159574,18451155,18473881,18603589,18698662,18833310,19681232,20088864,20224791,20534655,20849254,20919412,21028054,21228915,21567001,21903632,22013812,22078489,22141386,22206181,22228239,22367014,22599972,22644176,22723462,24199156,24590614,24641586,24744901,24856774,24871081,25201295,25391955,25474698,25831462,25919974,26185414,26924356,27084752,27130009,27157462,27245271,27951334,28126489,28567894,28746039,29118361,29271574,30241554,30470346,30597529,30935955,31210789,31638934,31700101,32066329,32310121,32425462,32774614,32894452,32998352,33005567,33282409,33524761,34081654,34221475,34574799,34611781,34852549,35093029,35385094,35596612,35621624,35780655,35812741,35997159,36001850,36052069,36529861,36857974,37117414,37123146,37481989,37600681,37719301,38166032,38193061,38311321,38429509,38498662,38913464,39273814,39703894,40074327,40076581,40193689,40582047,40979332,41065770,41077462,41105144,41160475,41593369,41924735,42289321,42405061,42936786,43202220,43556614,43659892,43777647,43803488,44132521,44153014,44408374,44704741,44918662,45047209,45164559,45428374,45452415,46082368,46191862,46243287,46410601,47088409,47150810,47313769,47651269,47956467,47988121,48436249,48482576,48530019,48614111,48643174,48994789,49120239,49148662,49278924,49392570,49525595,49551529,49773721,49848824,50309682,50595652,51270879,51658372,51842664,52308229,52516247,52636009,52685408,52854169,53004934,53250292,53450327,53672134,54171862,54255094,54504694,54542898,54804649,55019929,55127461,55617591,55664041,55878169,56079927,56165014,56412229,56477055,56580972,56744614,57156889,57406054,58322997,58476475,58537972,58556307,59065156,59271084,59369701,59430714,60242192,60258191,60827269,61447621,61598662,62155479,62334214,62415862,62664915,62680549,62701491,62885029,63107759,63149974,63312934,63470847,63598441,63700069,63903109,64533094,64869155,65215849,65641287,65749654,66017641,66098415,66558694,66615961,66731171,66842576,67062527,67358300,67630915,67772466,68010934,68041479,68493541,68689669,68837367,68843055,69373849,69448730,69471301,69618454,70099462,70171770,70179574,70345129,70504976,70538521,70750850,71618854,71631172,71979781,72017734,72097462,72140979,72836761,73026409,73291462,73432592,73499269,73688662,73876261,74131959,74345881,74684019,74720281,74813701,74849888,75023210,75194374,75197898,75227871,75372709,76129487,76357610,76379014,76773094,76818052,76844999,77065455,77125801,77324134,77400229,77842986,77856169,77947141,77984607,79033189,79318098,79676854,79911334,80067574,80108869,80301814,80376169,80486355,80769862,80829960,80997349,81157098,81526981,81579635,82203152,82270034,82403941,82611666,82743699,83101462,83178934,83220915,83338476,83382392,83875071,84206124,84222121,84650341,84901020,85033462,85755289,85852112,86083130,86218624,86300247,86592779,86636415,86761479,87616756,87680389,88180294,88485862,88505509,88739192,88768976,88833541,88867462,89078809,89324854,90009862,90027852,90053401,90561088,90678772,90777541,90933705,90937669,91224454,91629132,91905862,92129449,92412176,92478546,92680069,92687995,92776755,92963254,93805191,93976442,94079749,94092694,94244591,94310761,94618534,94784255,94999909,95148344,95218534,95411631,95803610,95834281,95967094,96583626,96585241,96734569,96788662,96883609,96995952,97032361,97476889,97895562,97905862,97992229,98065911,98203174,98288452,98431141,98504041,98961872,99093574,99239231,99409592,99463894,99517081,99759862,99831591,99851275,99865098,...,71364397136860146194971280866147264612974853263425502755185329684685930357713744800804310026234192778550717846704236298688313955214761175764179838320136292169097376996487687359564892685248271498099133519807581511549296869285050611585445779371184217109636067952576108763632833471126667734432631954882272627003835360601563824299409511300726435212165680223312219642242181889447956770454617486615609535770124456589954523178724589665133135999792146580079864987469810076024158445015169596128352583686159611345689121393502812733427420430835680894256674396387700755530358043048341821697442625925736108773803451725094789561362590886658614824479179579669578989193876878740935280130547488542756959890994930955058599903416671789350549177851963115257310405855762379163384456121926335808034682514315789416039444060601583932877628403890417519469905557529224293460411925535815480188089508411011982709898021403310280715399497581260302763379492914328140483802644846141538579028235583941174558170475601052849944489161092171717265203601931222121801626979382129750824999194462466713604225961848053297581388107076722508568464665618666868181691533227082137682699696028718098117364580251090264705748982375938298859309156087106066531709638239812358908401630139267281339732297504744784067084434164997830747469757730526563553784243031174270543167523387862955376367671251897395902603225792673461161187980132974711783190097326826418938931513287640005736797707746458629506182374495393105857819079729999957956314867372287649298952456715349059930315748380923020503660482099880548777869572152038303201872714455763680761693821489006417814301020726032527823381895196721092156917311533763807666724271601859808850772966367111618737444922458743806182443027445492757392473529394461623686515335247503180091614074875897785920333499217857895017258278315685613905978845831655177455887274915692574001654897019406758008977199579095095038536640005316815600466128386219582493637968841765562469655253850039239920096720789455567518542776855662676267217233275932544215501832607693101620329901274016293372627137787473093336132757370315097736457525126672877001739859847558938465976620208047460284258409170426794654141991467135678211072845568885205727967450662979466374675647732239880906981246857178489452958750937221190843806474218214233204029701167825928626410430477973546124394432809011717270589126486192535341545630309386872516859612734952872273041755935600273566459773001577729225081157436493040809565441747411048535760359007548138023478402115674916881705667005324018353216456595321367175861611355182830215903795666668306615050455947262960428119755655398310716958623692049940839481418696254028456023484661186494106246000967955555144013687689539429338965001155055122880114017809947915316177199018675831908171587829963328888828682092052176730137001515301368760297252646912469986174758018888963016884727706577378196050233323275988343431751731266383612305313425822825216527943179658155961409936615348026002498014297447144097843635491499425420179189359991535820844989101356516637387378788601456147392260494730750001870895891853771228949732434887031443663008948091701213088557594943008148401166532090702398446989624202523930447247590744656596479629169033981513885481077466336053016304572270824649423972014996671723320868381914609869223353947508825315148323262098840114285849762328698546469511413420839410435504798214605952373498348582133148067297563205095483993433579489500717839872090044184356561180698663956718220606657512201541377305586616358237940762602971800614741690232830186059118378136396733684193907979650445808636542628616711775671017047322526551474583731575424101453718099242235264401773206314604629954052026410791956998234540536184221343171042}
23271  55262883032987487077070983447213305737701519290338811541045088798616181064357: {46538,1185801,2115841,2856921,3022630,3580654,3627156,4107993,4663401,4940961,5115220,5495793,6015793,6138264,6905547,7019601,7572993,8593990,9114392,9360481,9506841,9907681,10253691,10312788,10472001,10879393,12206775,12390065,12536241,13020560,13634961,14153830,14531875,14595081,14648130,14868078,15057449,15541990,15624672,15690921,15730393,15827793,15840814,16511793,16648521,16984596,17221078,17222165,17331801,17438250,17513158,17577756,17741481,18110609,18395221,18600800,18650388,18961753,19165678,19287665,19813654,20300398,20662865,20666598,20904101,20925900,21147081,22303849,22320960,22471990,22776441,23145198,23699158,23809024,23860761,24601540,24795438,25080281,25111080,25214001,25729649,26149265,26613841,26785152,26966388,27239361,27379540,27517265,27585989,28047993,28249965,28305220,28361398,28873558,29521848,29637652,30133296,30248945,30921601,31130374,31168921,31273881,31379118,31467473,31542081,31756693,31973734,32855448,33020718,33212079,33395278,33550521,33655445,33855940,33899958,33931558,33966264,34049281,34085193,34782673,35584198,35641493,35967001,36159622,36298734,36327028,36885921,36962379,37285161,38189281,38212047,38328052,38747193,38879961,38980709,39278121,39501718,40322072,40386534,40395238,40627128,40736193,41118065,41247940,41440558,41729782,41927001,42422254,42851841,43617721,43907361,43934561,44495765,44527030,45362331,45446489,45705519,45895534,46099732,46718758,47406473,47458401,47707540,47929153,47996212,48130321,48638193,48641830,49161921,49341678,49497528,49793638,49977521,50007334,51122481,51224165,51381430,52301461,52426921,52711918,53077641,53223094,53394918,53432436,53608438,53752102,53839493,54002775,54109396,54574865,54754360,55286961,55676121,55684719,55743713,57249048,57430993,57602960,57747993,57853318,58370196,58406998,58487254,58910721,58966774,59018201,59555841,59653633,60219412,60522209,60603220,60767041,61468998,61598655,61616193,61657716,61691854,62242678,62311030,63244565,63941956,64253518,64405179,64572965,64628014,64706692,64803330,65029481,65334921,65489838,65493652,65543993,65705232,65856760,66229521,66562865,66612561,67079576,67377993,67415849,67881221,67994134,68142561,68361172,68557333,69123552,69287793,69591001,69651521,70726215,71927758,72112261,72418193,72723864,72959593,72964761,73068718,73172465,73722993,73787398,73831445,73918386,74088855,74156788,74773236,74885561,75120598,75302740,75441296,75464523,75893478,77217893,77487558,77646793,77672854,77763996,77814934,78075076,78159649,79028112,79160273,79240952,79341169,79507401,79875438,80002241,80508201,80860654,81257793,81382641,81757041,81814347,82873972,83254801,83544838,83553220,83601988,84188878,84197875,84247521,84557353,84627796,84871458,85116921,85767958,86109081,86591638,86983393,87163393,87521716,87806958,88131220,88152241,88597734,88654121,88861193,88906626,88947881,89146071,89538965,90050278,90363288,90436049,90721972,91186181,91783156,91790740,92371369,92397993,93501321,93562360,93623793,94099438,94290118,94585441,94724961,94969401,96022565,96187972,96380801,96479401,96799641,97195441,97573873,97865009,98089078,98153801,98624481,98842612,99578692,99838041,...,107046595705290219292456921299220896919462279895138254132777994527028895536570617201206465039351289167826076770056354448032470932822141763646269757480204438253646065494731531039347339027872407247148700279711372267323945303927575917378168669056776325664454101928864163145449250206690001601648947932323408940505753040902345736449114266951089652818248520334968329463363272834171935155681926229923414303655186684884931784768086884497699703999688219870119797481204715114036237667522754394192528875529239417018533682090254219100141130646253521341385011594581551133295537064572512732546163938888604163160705177587642184342043886329987922236718769369504368483790815318111402920195821232814135439836492396432587899855125007684025823766777944672885965608783643568745076684182889503712052023771473684124059166090902375899316442605835626279204858336293836440190617888303723220282134262616517974064847032104965421073099246371890454145069239371492210725703967269212307868542353375911761837255713401579274916733741638257575897805402896833182702440469073194626237498791693700070406338942772079946372082160615083762852696998428000302272537299840623206524049544043077147176046870376635397058623473563907448288963734130659099797564457359718538362602445208900922009598446257117176100626651247496746121204636595789845330676364546761405814751285081794433064551506877846093853904838689010191741781970199462067674785145990239628408397269931460008605196561619687944259273561743089658786728619594999936934472301058431473948428685073023589895473622571384530755490723149820823166804358228057454802809071683645521142540732233509626721451531089048791735072842795081638235375967300645711500086407402789713276159449550667428106167383688115709273664541168239136088710294091692435529773002871254770137421112313846678880500248826786842525887417473528420858968268747482766183830912373538861002482345529110137013465799368642642557804960007975223400699192579329373740456953262648343704482880775058859880145081184183351277814165283494014400825849913898816323252748911539652430494851911024440058940706681209640004199136055472646604686287690009315502609789771338407698964930312071190426387613755640191981212987200703517316609268353327808591951175994469199562013471598359821360471870285767734179438126405831786265709711327321349806044551751738892939615645716960319186591649213517575905883689729288803012318445464080308775289419102429308409562633903400410349689659502366593837621736154739561214348162621116572803640538511322207035217603173512375322558500507986027529824684892982050763792417032774245323855693500002459922575683920894440642179633483097466075437935538074911259222128044381042684035226991779741159369001451933332716020531534309144008447501732582684320171026714921872974265798528013747862257381744944993333243023138078265095205502272952053140445878970368704979262137028333444525327091559866067294075349984913982515147627596899575418457970138734237824791914769487233942114904923022039003747021446170716146765453237249138130268784039987303731267483652034774956081068182902184221088390742096125002806343837780656843424598652330547165494513422137551819632836392414512222601749798136053597670484436303785895670871386116984894719443753550972270828221616199504079524456858406236974135958022495007584981302572871914803835030921263237972722484893148260171428774643493047819704267120131259115653257197321908928560247522873199722100946344807643225990150369234251076759808135066276534841771047995935077330909986268302312065958379924537356911143904457700922112535349245279088677567204595100526290861969475668712954813942925067663506525570983789827211875597363136152180577148863352896602659809471906944931078039616187935497351810804276332014756563}
23272  55460112588441228258826791502122573262848300197513388289259977028817974008820: {69807,883538,1581068,1647271,1924687,1997522,2616967,2831498,3109202,3386762,3809228,3996127,4408471,4495562,4533945,4772402,4836208,5368087,5370981,5440734,5477324,5778271,5878322,6187807,6217868,6394025,6430418,6587948,7140871,7327724,7672830,7975093,8184352,9171271,9182258,9207396,9359468,9575407,9730898,10097324,10515871,10552778,11099978,11392990,11452807,11853271,12675788,12738122,12785167,12890985,13448647,13671588,13750384,13962668,14099282,14770207,14901967,15469182,15822271,15998858,16275700,16714988,17130871,18179948,18700298,18821287,19338967,19460108,19530840,19726471,19824104,20756647,20832896,20921228,21103724,21119282,21230745,21972195,22015724,22190642,22198028,22302117,22548367,22646128,23109068,23251000,23312985,23437008,23655308,23761221,24867184,25476894,25712767,25831617,25922258,26089471,26157375,26269737,26340247,26366634,27248138,27555464,27714367,27901200,27975582,28041938,28196108,28570418,28748517,29720481,29761280,29820871,30368588,30450597,30751925,30804967,30860264,30999897,31295287,31388850,31662271,31814348,32637727,32777522,33060584,33300818,33481440,33618668,33707985,33850567,34092271,34224425,34606538,34717797,35281813,35381525,35388242,35548737,35713536,35955184,36319148,36851167,36902310,36947762,37047065,37193157,37207178,37397324,37666620,39362464,40041271,40177728,40392487,40449582,41069310,41209471,41558527,41698508,41838824,42056108,42319925,42457830,42542097,42601807,43134002,43310337,43807264,44027624,44098471,44156978,44282772,44412362,44456478,44734028,45013447,45199944,45288352,45408785,45446924,46603567,46695561,47068677,47910065,47960601,48398312,48403567,48850687,49181228,49185271,49283172,49489802,49531077,49713548,49742162,49963447,50074327,50092917,50402590,50517127,50783910,50849937,50897337,50949396,51559925,51662924,51839948,52370828,53367247,53376297,53584471,53848712,53909767,54169504,54239433,54260018,54314924,54342487,54448101,54490542,55902668,56061847,56252978,57127087,57135788,57492078,57624665,58236722,58395871,58543148,58694629,58711447,59131207,59252577,59634425,59758687,59995265,60483108,60579801,60592857,60940692,61005871,61195058,61212727,61522471,61871910,62160837,62345287,62421578,62594673,63277868,63400202,63633381,64132658,64382167,64584271,64620242,64640741,64850924,65088271,65549228,65788904,65890927,65996704,66011134,66290527,66564818,66790545,66887767,67049522,67636745,68163308,68442950,68843301,69149598,69223562,69335833,69705098,69737887,70078137,70186058,70770188,71193224,71243248,71561310,71625482,71994318,72003700,72104138,72432271,72717607,72962745,73059722,73715948,73838633,74012517,74040607,74234828,74246292,74581897,74690457,74790271,74963978,75011001,75201362,75256471,75274265,75438602,75754025,76332064,76386122,76622642,76859018,76997324,77072145,77286367,77826928,78469471,78547628,79067877,79101487,79407788,79834641,79927445,80092377,80148654,80153162,80387378,80412657,80628153,80710471,80883365,80976367,81153271,81164094,81867065,81958664,82131540,82154924,82210288,82320950,82645327,83186738,83849470,84578642,84801727,84810122,85451465,85873572,86404440,86779977,86996647,87113228,87319784,87555294,87606976,87610497,87730881,87745087,87993271,88265042,88306028,88450161,88816748,89409482,89631271,89837324,90094418,90278407,90329118,90439471,90600247,90816817,90856748,90904830,91399807,91638271,91876087,92164736,92203497,92383724,92428471,92486574,92537781,92695985,92821202,93364017,93367207,93466545,94128425,94176818,94301620,94372471,94627538,94683281,95302538,95668687,95895271,95912934,95976242,96271471,96380277,96872498,96942021,96965152,97060038,97204995,97228222,97286348,97537087,97593845,97989578,98234757,98240478,98297324,98557848,98785140,98854471,99051190,99103058,99547442,99697648,...,142728794273720292389942561732294529225949706526851005510370659369371860715427489601608620052468385557101435693408472597376627910429522351528359676640272584338194753992975374719129785370496542996198267039615163023098593738570101223170891558742368434219272135905152217527265666942253335468865263909764545254007670721203127648598819022601452870424331360446624439284484363778895913540909234973231219071540248913179909046357449179330266271999584293160159729974939620152048316890030339192256705167372319222691378242787005625466854840861671361788513348792775401511060716086096683643394885251851472217547606903450189579122725181773317229648958359159339157978387753757481870560261094977085513919781989861910117199806833343578701098355703926230514620811711524758326768912243852671616069365028631578832078888121203167865755256807780835038939811115058448586920823851071630960376179016822023965419796042806620561430798995162520605526758985828656280967605289692283077158056471167882349116340951202105699888978322184343434530407203862444243603253958764259501649998388924933427208451923696106595162776214153445017136929331237333736363383066454164275365399392057436196234729160502180529411497964751876597718618312174212133063419276479624717816803260278534562679464595009489568134168868329995661494939515461053127107568486062348541086335046775725910752735342503794791805206451585346922322375960265949423566380194653652837877863026575280011473595415492917259012364748990786211715638159459999915912629734744575298597904913430698119860631496761846041007320964199761097555739144304076606403745428911527361523387642978012835628602041452065055646763790393442184313834623067527615333448543203719617701545932734223237474889844917487612364886054890985514784947058788923247373030670495006360183228149751795571840666998435715790034516556631371227811957691663310354911774549831385148003309794038813516017954399158190190077073280010633631200932256772439164987275937683531124939310507700078479840193441578911135037085553711325352534434466551865088431003665215386203240659802548032586745254275574946186672265514740630195472915050253345754003479719695117876931953240416094920568516818340853589308283982934271356422145691137770411455934901325958932749351295464479761813962493714356978905917501874442381687612948436428466408059402335651857252820860955947092248788865618023434541178252972385070683091260618773745033719225469905744546083511871200547132919546003155458450162314872986081619130883494822097071520718015096276046956804231349833763411334010648036706432913190642734351723222710365660431807591333336613230100911894525920856239511310796621433917247384099881678962837392508056912046969322372988212492001935911110288027375379078858677930002310110245760228035619895830632354398037351663816343175659926657777657364184104353460274003030602737520594505293824939972349516037777926033769455413154756392100466646551976686863503462532767224610626851645650433055886359316311922819873230696052004996028594894288195687270982998850840358378719983071641689978202713033274774757577202912294784520989461500003741791783707542457899464869774062887326017896183402426177115189886016296802333064181404796893979248405047860894495181489313192959258338067963027770962154932672106032609144541649298847944029993343446641736763829219738446707895017650630296646524197680228571699524657397092939022826841678820871009596429211904746996697164266296134595126410190967986867158979001435679744180088368713122361397327913436441213315024403082754611173232716475881525205943601229483380465660372118236756272793467368387815959300891617273085257233423551342034094645053102949167463150848202907436198484470528803546412629209259908104052821583913996469081072368442686342084}
23273  55658041428703110530956842009081296368386358378322231173622088975142185987686: {93076,1325307,1976335,2371602,2813371,2996283,4231682,4247247,4663803,4761535,5080143,5713842,6045260,6743343,6846655,7158603,7161308,7254312,7772335,8161101,8215986,8234935,8817483,9159655,9326802,9645627,9881922,10230440,10991586,11450911,11509245,11699335,12031586,12276528,12287083,12621655,13530847,13773387,13811094,14039202,14596347,15058747,15145986,15567871,15829167,15844735,16649967,17089485,17187980,17346091,17453335,17795167,18228784,18543991,18620767,18720962,19013682,19107183,19815362,20344625,20507382,20625576,20893735,20905903,20944002,21148923,21403447,21758786,21886087,22686367,22724935,23203773,23266591,23363407,23998287,24111031,24325135,24413550,24780130,25072482,25082443,26041120,26151535,26239147,26379655,26412271,27002731,27269922,27519655,27588367,27747535,28050447,28277143,28307660,28886335,28928011,28931647,29063750,29190162,29296260,29488471,29569135,29736156,30114898,30407767,31083980,31249344,31381842,31460786,31617511,31655586,31678923,31681628,32534167,32697103,33023586,33285963,33297042,33331771,33969192,34442156,34444330,34663602,34876500,35026316,35051671,35155512,35245135,35482962,36221218,36608971,36790442,37201600,37300776,37923506,37960735,38099527,38189191,38215341,38331356,38524171,38575330,38883387,39549951,39627308,39767935,40325671,40600796,40872207,40882207,41325730,41333196,41416507,41808202,41851800,41963373,42023335,42062907,42294162,42348523,42855627,44225803,44457703,44607698,44641920,44943980,45398935,45552882,45954271,46290396,46746655,47083275,47117623,47398316,47618048,47713207,47721522,48472171,49166283,49203080,49590876,49951227,50160562,50222160,50428002,50484907,51459298,51909807,51922663,52123135,52298530,52570135,53082363,53227682,53570304,53709487,53932776,54478722,54625471,54759080,55034530,55171978,55353465,55421643,55810767,55917535,56055487,56095986,56499930,56514667,56610440,56722796,56808655,56954923,57565291,57723943,57747116,59023327,59043696,59064343,59275304,59588107,60173551,60266592,60497890,60674373,61028671,61476535,61603965,61651231,61843202,62141935,62260748,62294071,62337842,62547762,62758236,62934946,63084162,63513386,63533371,63686745,63947468,64242091,64578655,64701003,64799935,65076103,65463535,65710896,66041436,66235467,66424158,66618543,66684717,66790556,67101042,67310890,67711880,67785847,67799916,67863116,67893655,67932528,68036287,68098562,68170386,69314887,69565346,69748783,69878335,70704427,71168396,71282986,71419735,71526247,71713831,71934002,72319244,72597468,72654056,72927691,73178935,73255051,73771842,73924758,74234703,74570322,74613243,74873047,75603885,75669703,75800287,75867247,76175865,76378562,76404811,76424094,76656104,76853023,77224591,77494386,77759922,77961418,78001831,78556242,79003436,79097335,80222827,80644144,80773068,80790476,81063655,81254256,81390027,81472386,81735813,81936535,82236130,82495880,82881116,83459564,83695627,83854002,84379467,84448807,84844508,85139911,85204135,85703682,86238117,86302351,86553163,87235442,87355083,87814722,87869122,88462735,88542391,88868911,88991530,89054060,89644111,90004625,90280843,90402151,90724662,90892978,91411038,91791068,91792587,92144935,92199464,92793535,92807865,93188011,93437516,93518071,93632367,94548103,94812946,94916802,94983307,95100303,95415080,95785471,95858306,95992424,96198987,96246655,96260642,96930363,96946027,97276386,97283660,98184535,98323842,98683356,98995056,99016701,99259735,99315451,99587276,99847227,99955042,...,214093191410580438584913842598441793838924559790276508265555989054057791073141234402412930078702578335652153540112708896064941865644283527292539514960408876507292130989463062078694678055744814494297400559422744534647890607855151834756337338113552651328908203857728326290898500413380003203297895864646817881011506081804691472898228533902179305636497040669936658926726545668343870311363852459846828607310373369769863569536173768995399407999376439740239594962409430228072475335045508788385057751058478834037067364180508438200282261292507042682770023189163102266591074129145025465092327877777208326321410355175284368684087772659975844473437538739008736967581630636222805840391642465628270879672984792865175799710250015368051647533555889345771931217567287137490153368365779007424104047542947368248118332181804751798632885211671252558409716672587672880381235776607446440564268525233035948129694064209930842146198492743780908290138478742984421451407934538424615737084706751823523674511426803158549833467483276515151795610805793666365404880938146389252474997583387400140812677885544159892744164321230167525705393996856000604545074599681246413048099088086154294352093740753270794117246947127814896577927468261318199595128914719437076725204890417801844019196892514234352201253302494993492242409273191579690661352729093522811629502570163588866129103013755692187707809677378020383483563940398924135349570291980479256816794539862920017210393123239375888518547123486179317573457239189999873868944602116862947896857370146047179790947245142769061510981446299641646333608716456114909605618143367291042285081464467019253442903062178097583470145685590163276470751934601291423000172814805579426552318899101334856212334767376231418547329082336478272177420588183384871059546005742509540274842224627693357761000497653573685051774834947056841717936537494965532367661824747077722004964691058220274026931598737285285115609920015950446801398385158658747480913906525296687408965761550117719760290162368366702555628330566988028801651699827797632646505497823079304860989703822048880117881413362419280008398272110945293209372575380018631005219579542676815397929860624142380852775227511280383962425974401407034633218536706655617183902351988938399124026943196719642720943740571535468358876252811663572531419422654642699612089103503477785879231291433920638373183298427035151811767379458577606024636890928160617550578838204858616819125267806800820699379319004733187675243472309479122428696325242233145607281077022644414070435206347024750645117001015972055059649369785964101527584834065548490647711387000004919845151367841788881284359266966194932150875871076149822518444256088762085368070453983559482318738002903866665432041063068618288016895003465165368640342053429843745948531597056027495724514763489889986666486046276156530190411004545904106280891757940737409958524274056666889050654183119732134588150699969827965030295255193799150836915940277468475649583829538974467884229809846044078007494042892341432293530906474498276260537568079974607462534967304069549912162136365804368442176781484192250005612687675561313686849197304661094330989026844275103639265672784829024445203499596272107195340968872607571791341742772233969789438887507101944541656443232399008159048913716812473948271916044990015169962605145743829607670061842526475945444969786296520342857549286986095639408534240262518231306514394643817857120495045746399444201892689615286451980300738468502153519616270132553069683542095991870154661819972536604624131916759849074713822287808915401844225070698490558177355134409190201052581723938951337425909627885850135327013051141967579654423751194726272304361154297726705793205319618943813889862156079232375870994703621608552664029513126}
23274  55856672016845843052757552306955425122843548923820711967103074801512020898977: {116345,139614,534773,1091669,1647413,1693673,1767076,2340473,2478869,3031733,3162136,3294542,3557403,3629369,3849374,3995044,4454633,4866293,5233934,5368553,5662996,5915369,6051893,6218404,6233813,6347523,6461033,6773524,7141493,7186793,7556575,7594133,7618456,7729769,7992254,8091113,8406869,8542073,8570763,8816942,8951635,8991124,9067890,9082169,9544804,9621113,9672416,10427369,10561493,10650869,10736174,10741962,10881468,10954648,11097269,11186453,11556542,11756644,11898773,12323979,12375614,12431669,12435736,12653369,12788050,12860836,13096169,13175896,13990203,14281742,14287733,14655448,14771513,14822883,14947193,15345660,15823673,15950186,16368704,16487379,16522553,16740533,17393273,18047379,18342542,18364516,18414792,18433913,18563669,18718936,19150814,19461796,19642169,19771253,20194648,20286869,20716641,21031742,21058803,21105556,21484975,21570869,21656213,21912053,22082453,22199956,22210169,22718979,22785980,22905614,23706542,24454613,24749369,25351576,25463573,25476244,25570334,25715093,25781970,26091833,26509673,26897294,26968373,27259769,27343176,27500768,27925336,28081443,28090169,28198564,28214453,28504169,28520523,29540414,29723043,29803934,30234233,30761073,30938364,31093973,31298153,31416003,31644542,31705913,31997716,32072213,32397269,32551400,32638179,33126773,33429976,34261742,34698473,34939193,35219669,35384575,35819369,35939093,36359896,36616169,36620325,37170195,37400596,37608723,37642574,37726313,38318453,38397269,38677934,38854975,38920216,39061680,39452942,39602035,39648208,39966869,40084073,40162169,40904883,41252153,41513294,41601173,41665792,41842456,42207448,42238564,42461490,42490169,43052695,43067669,43566713,43595625,43758293,43782895,43785243,43944390,44031448,44102633,44140853,44217269,44381284,44396056,44604234,44675093,45055733,45096734,45172347,45292256,45473513,46218136,46494869,46502000,46607993,46625970,46874016,47072763,47172533,47191179,47310616,47322773,47483379,47522442,47735273,47914195,48109433,48445493,49534135,49535379,49561013,49672169,49734368,49945563,50411369,50750995,50953788,51330869,51425534,51663234,51666495,51844516,51865891,51989813,51995403,52178942,52314750,52318313,52500533,52539474,52680494,52718933,52733268,52973369,53224443,53625833,54331827,54347753,54496276,54599669,54887093,55110928,55185663,55428734,55746293,55802400,55951164,56083876,56102933,56179975,56280953,56392216,56494313,56742869,56885259,57140836,57168053,57274169,57497034,57862995,57909353,58085333,59247895,59381369,59440962,59522560,59555669,59641742,60737176,60901194,61503850,61528553,61609934,61720528,61988595,61999794,62590574,62712303,62777700,63324542,63441243,63572299,63628696,63678869,64287413,65094773,65128313,65275454,65555044,65930873,66121168,66130793,66601636,66695669,66911547,66927593,66962880,67074091,67237336,67415970,67686869,67701134,67785593,68114153,68184542,68329323,68448850,68572793,69213076,69387893,69435594,69971669,70133369,70563626,70713833,70763050,70776484,70903495,71035193,71097474,71427072,71582283,71910368,71962613,72058169,72183895,72280853,72376169,72638296,72946553,73482869,73702334,73804620,73895524,73954169,74048213,74094130,74386314,74414356,74517353,74735669,74794648,74797973,74829113,75240843,75333240,75642003,76393603,77111273,77188947,77202869,77825935,78447795,78477653,78507833,78724928,78779093,79109753,79409513,79841523,79934335,80082542,80125673,80355456,80674531,80748533,80784974,80899164,81014393,81191273,81718083,81983669,82138620,82418942,82421369,82508693,82525531,82551795,82757967,83117054,83397016,83488195,83677648,83993371,84112216,84143979,84211433,84639850,84725369,84749895,84828895,84915660,85084194,85203614,85349993,85660853,85942613,86268004,86419769,86620674,86699369,87172853,87263839,87588713,87614528,87754553,88002773,88055248,88196942,88313956,88565544,88579433,88824724,88852793,88907369,88912956,88960495,89098133,89468056,89505593,89722169,90026894,90073013,90399055,90399888,90476153,90576704,90746835,90817570,90893848,90930869,91010873,91197269,91648313,91674773,92044373,92764803,93207134,93299669,93377513,93391122,93506763,93821643,93946169,94137354,94331669,94382933,94402419,94408553,94626243,94691443,94766393,95224169,95270079,95300213,95820130,95905973,95921202,96432233,96796624,96807134,96979769,97548053,97701374,98087669,98362456,98370542,98566344,98754295,98865653,98979604,99062154,99427096,99484324,99539669,99587573,99636237,99926894,...,321139787115870657877370763897662690758386839685414762398333983581086686609711851603619395118053867503478230310169063344097412798466425290938809272440613314760938196484194593118042017083617221741446100839134116801971835911782727752134506007170328976993362305786592489436347750620070004804946843796970226821517259122707037209347342800853268958454745561004904988390089818502515805467045778689770242910965560054654795354304260653493099111999064659610359392443614145342108713002568263182577586626587718251055601046270762657300423391938760564024155034783744653399886611193717538197638491816665812489482115532762926553026131658989963766710156308108513105451372445954334208760587463698442406319509477189297763699565375023052077471300333834018657896826350930706235230052548668511136156071314421052372177498272707127697949327817506878837614575008881509320571853664911169660846402787849553922194541096314896263219297739115671362435207718114476632177111901807636923605627060127735285511767140204737824750201224914772727693416208690499548107321407219583878712496375081100211219016828316239839116246481845251288558090995284000906817611899521869619572148632129231441528140611129906191175870420691722344866891202391977299392693372079155615087807335626702766028795338771351528301879953742490238363613909787369535992029093640284217444253855245383299193654520633538281561714516067030575225345910598386203024355437970718885225191809794380025815589684859063832777820685229268976360185858784999810803416903175294421845286055219070769686420867714153592266472169449462469500413074684172364408427215050936563427622196700528880164354593267146375205218528385244914706127901901937134500259222208369139828478348652002284318502151064347127820993623504717408266130882275077306589319008613764310412263336941540036641500746480360527577662252420585262576904806242448298551492737120616583007447036587330411040397398105927927673414880023925670202097577737988121221370859787945031113448642325176579640435243552550053833442495850482043202477549741696448969758246734618957291484555733073320176822120043628920012597408166417939814058863070027946507829369314015223096894790936213571279162841266920575943638961602110551949827805059983425775853527983407598686040414795079464081415610857303202538314379217495358797129133981964049418133655255216678818846937150880957559774947640552727717651069187866409036955336392240926325868257307287925228687901710201231049068978507099781512865208464218683643044487863349718410921615533966621105652809520537125967675501523958082589474054678946152291377251098322735971567080500007379767727051762683321926538900449292398226313806614224733777666384133143128052105680975339223478107004355799998148061594602927432025342505197748052960513080144765618922797395584041243586772145234834979999729069414234795285616506818856159421337636911106114937786411085000333575981274679598201882226049954741947545442882790698726255373910416202713474375744308461701826344714769066117011241064338512148440296359711747414390806352119961911193802450956104324868243204548706552663265172226288375008419031513341970530273795956991641496483540266412655458898509177243536667805249394408160793011453308911357687012614158350954684158331260652916812484664848598512238573370575218710922407874067485022754943907718615744411505092763789713918167454679444780514286323930479143459112801360393777346959771591965726785680742568619599166302839034422929677970451107702753230279424405198829604525313143987805231992729958804906936197875139773612070733431713373102766337606047735837266032701613785301578872585908427006138864441828775202990519576712951369481635626792089408456541731446590058689807979428415720834793234118848563806492055432412828996044269689}
23275  56056006824560778467348259886688566915054504726799381057779875858921949416297: {186152,209421,2208845,2650614,2766869,3324893,3952670,4743204,4941813,4993805,5626742,5774061,5992566,6666149,7078745,7773005,7850901,8463364,8466905,8494494,9327606,9453389,9523070,9585317,10160286,10881269,11238905,11427684,11528909,11931005,11988381,12090520,12240629,12798077,12823517,13225413,13486686,13601835,13693310,14317206,14322616,14508624,14695805,15544670,15569213,15991001,16076045,16104261,16112943,16322202,16379069,16431972,16469870,17096189,17334813,17634966,17670317,17796701,18319310,18398393,18563421,18653604,19182075,19291254,19763844,20460880,20725637,21422613,21983172,22006361,22182629,22901822,22953701,22955645,23018490,23365421,23398670,23925279,24055289,24063172,24327245,24434669,24553056,24574166,24719189,24903257,25243310,26003837,26381945,26811161,27061694,27513813,27546774,27622188,27749945,28078404,28482475,28726221,28934141,29192694,29251229,29491013,29519597,30117494,30291972,30926933,31009901,31135742,31547613,31658334,31689470,31762169,31814909,31845305,33299934,33798029,34055189,34178970,34358421,34375960,34692182,34906670,35189849,35248205,35559813,35590334,36457568,36543821,36612149,36931517,37087982,37241534,37441924,38027364,38214366,38355501,38527517,38672955,38846549,39175397,39392093,39630724,39997145,40345941,40440869,40689250,41014764,41251152,41396789,41787470,41811806,41888004,42105341,42297846,42682037,42806894,42876461,43517572,43772174,44310621,44705901,45372734,45449870,46407546,46533182,46726814,46750745,47466813,47996574,48222062,48650270,48827100,48946781,48979733,49057241,49343189,49560260,49688021,49939829,50144964,50164886,51003773,51392613,52082240,52303070,52478294,52759310,52798205,52824542,53075597,53145029,53506013,54005462,54309593,54539844,55039310,55176734,55476605,55495070,55675109,56100894,56463861,56519573,56554286,56615320,57285293,57772670,57856022,57863294,57955673,58016901,58019501,58127500,58380324,58592520,58789901,58832669,58976942,59138270,59179413,59472312,59663981,60229796,60815534,60859709,61051997,62167960,62269941,62498688,62763684,62921572,63235022,63311172,63357846,63363256,63558509,63639749,63692235,64805645,65068334,65394206,65445317,65916585,66047172,66419789,66571926,66594084,66663542,66790061,66906351,67645101,67693757,67938384,68120345,68542133,68884312,68888660,68904317,69128141,69327204,69753000,69754841,69938955,70052632,70103342,70104845,70311024,70490270,70965924,71283663,71426045,72124793,72442436,72460733,72696101,72972389,73217942,73580884,73598189,74403200,74601552,75084893,75847012,75921470,76199054,76378382,76430682,76662712,77048342,77138301,77150660,77494851,77766774,78008597,78268413,78284549,78472125,78809211,79020741,79099902,79254616,79532117,79535870,80406521,80651342,81027893,81201592,81744414,81764414,81943805,82651460,82666392,82833014,83143101,83252045,83616404,83703600,83926746,84046670,84125814,84572021,84588324,84697046,85711254,86067149,86245551,86309837,86516345,86998709,87178517,88451606,88470605,88568261,88915406,89161443,89215396,89283840,89462613,89651897,89887960,90410117,90719909,90797870,91011629,91105764,91351791,91575629,91648949,91908542,92255775,92369405,92414901,92580792,92999691,93017945,93493310,93885861,94166550,94235246,94300649,94796632,94986813,95051117,95236096,95426414,95443044,96044573,96899741,96944342,97682213,97829669,97913181,98332566,98406160,99181752,99324077,99676901,99902454,99987629,...,428186382821160877169827685196883587677849119580553016531111978108115582146282468804825860157405156671304307080225417792129883731288567054585079029920817753014584261978926124157389356111489628988594801118845489069295781215710303669512674676227105302657816407715456652581797000826760006406595791729293635762023012163609382945796457067804358611272994081339873317853453091336687740622727704919693657214620746739539727139072347537990798815998752879480479189924818860456144950670091017576770115502116957668074134728361016876400564522585014085365540046378326204533182148258290050930184655755554416652642820710350568737368175545319951688946875077478017473935163261272445611680783284931256541759345969585730351599420500030736103295067111778691543862435134574274980306736731558014848208095085894736496236664363609503597265770423342505116819433345175345760762471553214892881128537050466071896259388128419861684292396985487561816580276957485968842902815869076849231474169413503647047349022853606317099666934966553030303591221611587332730809761876292778504949995166774800281625355771088319785488328642460335051410787993712001209090149199362492826096198176172308588704187481506541588234493894255629793155854936522636399190257829438874153450409780835603688038393785028468704402506604989986984484818546383159381322705458187045623259005140327177732258206027511384375415619354756040766967127880797848270699140583960958513633589079725840034420786246478751777037094246972358635146914478379999747737889204233725895793714740292094359581894490285538123021962892599283292667217432912229819211236286734582084570162928934038506885806124356195166940291371180326552941503869202582846000345629611158853104637798202669712424669534752462837094658164672956544354841176366769742119092011485019080549684449255386715522000995307147370103549669894113683435873074989931064735323649494155444009929382116440548053863197474570570231219840031900893602796770317317494961827813050593374817931523100235439520580324736733405111256661133976057603303399655595265293010995646158609721979407644097760235762826724838560016796544221890586418745150760037262010439159085353630795859721248284761705550455022560767924851948802814069266437073413311234367804703977876798248053886393439285441887481143070936717752505623327145062838845309285399224178207006955571758462582867841276746366596854070303623534758917155212049273781856321235101157676409717233638250535613601641398758638009466375350486944618958244857392650484466291214562154045288828140870412694049501290234002031944110119298739571928203055169668131096981295422774000009839690302735683577762568718533932389864301751742152299645036888512177524170736140907967118964637476005807733330864082126137236576033790006930330737280684106859687491897063194112054991449029526979779973332972092552313060380822009091808212561783515881474819917048548113333778101308366239464269176301399939655930060590510387598301673831880554936951299167659077948935768459619692088156014988085784682864587061812948996552521075136159949214925069934608139099824324272731608736884353562968384500011225375351122627373698394609322188661978053688550207278531345569658048890406999192544214390681937745215143582683485544467939578877775014203889083312886464798016318097827433624947896543832089980030339925210291487659215340123685052951890889939572593040685715098573972191278817068480525036462613028789287635714240990091492798888403785379230572903960601476937004307039232540265106139367084191983740309323639945073209248263833519698149427644575617830803688450141396981116354710268818380402105163447877902674851819255771700270654026102283935159308847502389452544608722308595453411586410639237887627779724312158464751741989407243217105328059026252}
23276  56256048332187872552774933292671166365356244798671441056395168258567535955952: {162883,232690,279228,1069546,1555003,1693819,1832563,2183338,2386819,2525203,3294826,3387346,3534152,3975921,4680946,4957738,5140819,5929005,6063466,6324272,6507019,6589084,7114806,7187419,7258738,7698748,7990088,8440113,8909266,8988849,9732586,10467868,10579205,10737106,11325992,11365723,11830738,12103786,12436808,12467626,12532289,12695046,12741741,12922066,13097323,13547048,13760083,13991409,14282986,14284605,14373586,15113150,15188266,15236912,15240429,15459538,15984508,16000003,16182226,16393123,16524019,16813738,17084146,17141526,17633884,17903270,17982248,18135780,18164338,18478819,18608563,19089608,19242226,19344832,20230029,20288683,20539965,20854738,21122986,21301738,21472348,21475809,21483924,21762936,21909296,22194538,22212163,22372906,23113084,23317005,23513288,23797546,24119443,24483303,24647958,24704805,24751228,24751603,24863338,24871472,24877819,25003963,25306738,25507819,25576100,25721672,26192338,26351792,26452449,26762419,27262243,27478965,27511723,27980406,28134163,28563484,28575466,28936881,29310896,29543026,29645766,29894386,30078965,30691320,31647346,31831003,31900372,32440843,32737408,32974758,33045106,33481066,33655123,34352733,34527735,34786546,35098005,35222923,35942419,36094758,36659323,36685084,36729032,36829584,36861249,36867826,37127338,37437872,37611163,37729819,37848403,37864965,38203723,38301628,38322019,38440243,38923592,39284338,39542506,40204963,40389296,40573738,40592541,41320161,41433282,42063484,42117606,42211112,42417019,42532723,42969950,43110163,43141738,43312426,43789041,43824106,44145019,44164906,44259643,44399912,44420338,44717419,45174043,45176241,45437958,45571960,45811228,46703613,46802405,47413084,47487501,47534205,48114019,48909226,49120363,49498738,49538405,49676923,49899043,49949901,50703152,50927146,50952488,51140668,51268455,51335803,51430186,51563940,51994819,52038273,52183666,52360005,52978483,53019346,53385501,53794588,53936746,54396965,54519538,54686352,55001536,55143523,55251019,55442849,55631973,55787419,55850672,55862301,56162886,56180338,56397128,56428906,56748403,57008338,57041046,57279763,57321549,57915019,58863043,59080828,59387203,59446086,59607868,60013819,60273773,60468466,61033875,61296053,61522146,61876728,61950325,62187946,62596306,62681205,62717709,62832006,63289084,63411826,63446769,63617419,63719083,63995432,64023643,64144426,64210341,64731763,64794538,65102800,65134819,65276358,65658261,66137419,66253546,66859952,67079873,68059101,68121019,68174805,68514283,68523484,68612419,69199723,69347789,69396946,69492403,69611319,69799773,69878386,70090221,70172803,70439338,70769150,71051393,71638738,71878186,71994861,72001819,72333093,72659375,72719792,72954019,72975405,73232338,73240650,73521883,73899019,74340390,74743363,74801192,74836819,75217446,75247329,75285148,75287245,75396043,75452626,76230019,76598803,76636906,76794538,77149819,77355868,77515723,77709950,77840432,77971483,78123360,78454605,78516019,78651965,78717441,78905884,79138965,79204070,79236813,79296416,79933738,80168146,80324338,81008193,81552763,81809766,82430083,82504306,82517419,82558965,82765101,82947053,83026588,83202346,83242605,83331584,83684912,84151341,84249019,84414896,84477128,84762883,84831429,84922980,84980338,85867363,86105390,86110825,86135338,86457043,86659005,86784033,86794941,87133426,87191250,87516586,87565790,87570486,87625819,87888780,88062896,88122403,88205266,88281706,88434538,88452019,88465413,88707405,88762568,88792112,89208468,89350186,90111466,90163603,90193468,90283349,90344694,90553045,90584512,90947026,90967483,91207243,91223301,91684819,91976105,92159803,92234417,92396323,92436272,92789083,92989738,93004000,93215986,93251940,93724363,93748032,94145526,94342123,94345066,94382358,94419019,94621232,94645546,94808765,94852533,94966758,95036769,95044884,95470546,95828390,95866363,96218866,96438325,96692419,96890986,96990643,97139323,97530173,97602501,98091309,98098723,98537419,98610283,99068270,99070758,99122026,99264893,99344338,99468736,99622819,99857889,99891126,99995313,...,642279574231741315754741527795325381516773679370829524796667967162173373219423703207238790236107735006956460620338126688194825596932850581877618544881226629521876392968389186236084034167234443482892201678268233603943671823565455504269012014340657953986724611573184978872695501240140009609893687593940453643034518245414074418694685601706537916909491122009809976780179637005031610934091557379540485821931120109309590708608521306986198223998129319220718784887228290684217426005136526365155173253175436502111202092541525314600846783877521128048310069567489306799773222387435076395276983633331624978964231065525853106052263317979927533420312616217026210902744891908668417521174927396884812639018954378595527399130750046104154942600667668037315793652701861412470460105097337022272312142628842104744354996545414255395898655635013757675229150017763018641143707329822339321692805575699107844389082192629792526438595478231342724870415436228953264354223803615273847211254120255470571023534280409475649500402449829545455386832417380999096214642814439167757424992750162200422438033656632479678232492963690502577116181990568001813635223799043739239144297264258462883056281222259812382351740841383444689733782404783954598785386744158311230175614671253405532057590677542703056603759907484980476727227819574739071984058187280568434888507710490766598387309041267076563123429032134061150450691821196772406048710875941437770450383619588760051631179369718127665555641370458537952720371717569999621606833806350588843690572110438141539372841735428307184532944338898924939000826149368344728816854430101873126855244393401057760328709186534292750410437056770489829412255803803874269000518444416738279656956697304004568637004302128694255641987247009434816532261764550154613178638017227528620824526673883080073283001492960721055155324504841170525153809612484896597102985474241233166014894073174660822080794796211855855346829760047851340404195155475976242442741719575890062226897284650353159280870487105100107666884991700964086404955099483392897939516493469237914582969111466146640353644240087257840025194816332835879628117726140055893015658738628030446193789581872427142558325682533841151887277923204221103899655610119966851551707055966815197372080829590158928162831221714606405076628758434990717594258267963928098836267310510433357637693874301761915119549895281105455435302138375732818073910672784481852651736514614575850457375803420402462098137957014199563025730416928437367286088975726699436821843231067933242211305619041074251935351003047916165178948109357892304582754502196645471943134161000014759535454103525366643853077800898584796452627613228449467555332768266286256104211361950678446956214008711599996296123189205854864050685010395496105921026160289531237845594791168082487173544290469669959999458138828469590571233013637712318842675273822212229875572822170000667151962549359196403764452099909483895090885765581397452510747820832405426948751488616923403652689429538132234022482128677024296880592719423494828781612704239923822387604901912208649736486409097413105326530344452576750016838063026683941060547591913983282992967080532825310917797018354487073335610498788816321586022906617822715374025228316701909368316662521305833624969329697197024477146741150437421844815748134970045509887815437231488823010185527579427836334909358889561028572647860958286918225602720787554693919543183931453571361485137239198332605678068845859355940902215405506460558848810397659209050626287975610463985459917609813872395750279547224141466863426746205532675212095471674532065403227570603157745171816854012277728883657550405981039153425902738963271253584178816913083462893180117379615958856831441669586468237697127612984110864825657992088539378}
23277  56456799028745747332154747313273696869487757528408770639634909953773411233497: {349035,372304,418842,1604319,3092383,3275007,3929419,4417690,4942239,5081019,5301228,5533738,6649786,6991327,7021419,7436607,7905340,8236355,9095199,9486408,9623435,9883626,9910243,9987610,10672209,10882207,10888107,11172187,11253484,11548122,11853667,11985132,13084835,13332298,13363899,13680703,14157490,14598879,15546010,15701802,15734467,16105659,16703407,16926728,16933810,16988988,17746107,18155679,18399979,18655212,18701439,18906778,19042569,19046140,19170634,19383099,19980635,20204587,20320572,20574127,21424479,21560379,21762538,22042355,22477810,22506463,22669725,22782399,22855368,23057818,23189307,23270603,23862010,23976762,24181040,24273339,24481258,25220607,25596154,25626219,25647034,25712289,26450826,26620723,26840435,26854905,26885323,26973372,27203670,27246507,27258143,27386620,27989123,28282019,28634412,28645232,28863339,28891355,29017248,29213587,29391610,30929599,30939035,31089340,31138426,31282107,31622963,31684479,31764907,31952607,31970125,31982002,32137903,32152090,32208522,32225886,32644404,32758138,32863944,32939740,33291807,33559359,34058143,34192378,34669626,35269932,35340634,35593402,35696319,35704355,36638620,36796786,36906427,36934723,36971937,37126842,37295007,37307208,37888763,37960107,38364150,38582508,38849923,39288507,39527688,39676379,39764003,39875465,40921760,41451274,41970609,42432863,42845226,42863199,43966344,44012722,44314539,44365258,44468649,44583427,44685203,44841579,45458303,45803644,45856355,45907402,45911290,46036980,46730842,46797340,47471019,47850558,47877035,48110578,48126344,48654490,48869338,49106112,49148332,49347487,49438378,49462137,49567659,49806514,50221599,50486620,52007674,52179819,52440499,52579355,52763890,53622322,54123388,54142137,55027626,55093548,55244376,55301739,55499890,55691007,55815103,55996003,56156808,56735983,56964950,57264035,57445867,57452442,57528383,57868282,57885139,58385388,58502458,58926507,58982026,59039194,59266355,59313759,59773379,60234988,60537983,60583944,60782779,60860607,61853866,62019802,62149923,62271484,62574067,63095226,63176409,63234379,63316668,63378940,63524338,63629818,63690610,63925835,64454925,64712607,64968639,65451043,65736159,66247359,66547679,66599868,66630507,66744127,66795859,67243235,67596058,67898867,68110378,68156937,68357940,68716842,68751920,69384364,69813340,70235483,70379698,70496410,71119626,71180668,72841667,72915136,73087642,73224298,73363839,73851035,73863034,73895599,73917487,74041979,74175964,74248107,74483068,74509835,74883848,76054728,76390719,76428732,76711002,77055034,77145279,77237987,77281583,77345910,77667247,77693098,78275499,78350794,78784186,79111355,79261448,79529019,79994290,80616479,80691882,80881738,80905119,81004339,81378500,81779307,82029528,82502304,82793578,83060227,83574940,83623612,83776008,84210682,84244329,84270507,84595692,84643359,85364074,85512507,85561569,85613788,85654355,85752922,87035144,87186079,87544348,87821483,88621242,88677167,89169129,89411802,90459743,90702699,90727903,90745468,90899740,91209947,91839299,92283219,92815092,93066364,93281919,93287323,93453628,93501490,93534323,93894459,94106435,94248009,94933626,95117739,95368483,95993148,96216639,96444124,96694835,97191807,97300540,97654200,97890683,97893562,97914537,97959466,98114482,98146783,98632355,98686378,99120520,99376042,99380319,99810779,99879658,99996463,...,963419361347611973632112291692988072275160519056244287195001950743260059829135554810858185354161602510434690930507190032292238395399275872816427817321839944282814589452583779354126051250851665224338302517402350405915507735348183256403518021510986930980086917359777468309043251860210014414840531390910680464551777368121111628042028402559806875364236683014714965170269455507547416401137336069310728732896680163964386062912781960479297335997193978831078177330842436026326139007704789547732759879763154753166803138812287971901270175816281692072465104351233960199659833581152614592915475449997437468446346598288779659078394976969891300130468924325539316354117337863002626281762391095327218958528431567893291098696125069156232413901001502055973690479052792118705690157646005533408468213943263157116532494818121383093847983452520636512843725026644527961715560994733508982539208363548661766583623288944688789657893217347014087305623154343429896531335705422910770816881180383205856535301420614213474250603674744318183080248626071498644321964221658751636137489125243300633657050484948719517348739445535753865674272985852002720452835698565608858716445896387694324584421833389718573527611262075167034600673607175931898178080116237466845263422006880108298086386016314054584905639861227470715090841729362108607976087280920852652332761565736149897580963561900614844685143548201091725676037731795158609073066313912156655675575429383140077446769054577191498333462055687806929080557576354999432410250709525883265535858165657212309059262603142460776799416508348387408501239224052517093225281645152809690282866590101586640493063779801439125615655585155734744118383705705811403500777666625107419485435045956006852955506453193041383462980870514152224798392646825231919767957025841292931236790010824620109924502239441081582732986757261755787730714418727344895654478211361849749022341109761991233121192194317783783020244640071777010606292733213964363664112579363835093340345926975529738921305730657650161500327487551446129607432649225089346909274740203856871874453667199219960530466360130886760037792224499253819442176589210083839523488107942045669290684372808640713837488523800761727830916884806331655849483415179950277327560583950222796058121244385238392244246832571909607614943137652486076391387401945892148254400965765650036456540811452642872679324842921658183152953207563599227110866009176722778977604771921863775686063705130603693147206935521299344538595625392656050929133463590049155232764846601899863316958428561611377903026504571874247768422164036838456874131753294968207914701241500022139303181155288049965779616701347877194678941419842674201332999152399429384156317042926017670434321013067399994444184783808782296076027515593244158881539240434296856768392186752123730760316435704504939999187208242704385856849520456568478264012910733318344813359233255001000727943824038794605646678149864225842636328648372096178766121731248608140423127232925385105479034144307198351033723193015536445320889079135242243172419056359885733581407352868312974604729613646119657989795516678865125025257094540025911590821387870974924489450620799237966376695527531730610003415748183224482379034359926734073061037842475052864052474993781958750437453994545795536715720111725656132767223622202455068264831723155847233234515278291369141754502364038334341542858971791437430377338404081181332040879314775897180357042227705858797498908517103268789033911353323108259690838273215596488813575939431963415695978189876414720808593625419320836212200295140119308299012818143207511798098104841355904736617757725281018416593325486325608971558730138854108444906880376268225369625194339770176069423938285247162504379702356545691419476166297238486988132809067}
23278  56658261411961857997782622914588756127658692454179526494743283466426451433423: {325766,465380,558456,628263,2063821,2139092,3110006,3387638,3665126,4134721,4366676,4409617,4546957,4773638,5050406,5506321,5779777,5916397,6589652,6626535,6774692,7068304,7278637,7951842,8300607,9173677,9361892,9577921,9881675,9915476,9974679,10281638,10518637,10652737,11188417,11589421,11858010,12126932,12648544,12655597,12921421,13014038,13178168,13319617,13584721,14066855,14229612,14374838,14510317,14517476,14810887,14825439,14905921,14981415,15397496,15980176,16880226,17322183,17818532,17917357,17977698,18177421,19465172,19731757,19860817,19998447,20376337,20762221,20935736,21158410,21236235,21474212,21660097,22651984,22681921,22731446,22936657,23318221,23319015,23552703,23661476,23807675,24207572,24873616,24935252,25064578,25390092,25400715,25483482,25844132,26194646,26222017,27094096,27520166,27982818,28360167,28565972,28569210,28592077,28747172,28755951,29952337,30226300,30376532,30473824,30480858,30919076,31181377,31426321,31969016,32000006,32364452,32643807,32786246,32889937,33048038,33627476,33716715,34168292,34233275,34283052,34586727,35267768,35793015,35806540,35964496,35965143,36025537,36271560,36328676,36721887,36861421,36957638,37099597,37217126,38179216,38394231,38404417,38470551,38484452,38689664,38861675,38876737,39676239,40052497,40169677,40460058,40577366,40637677,40805505,41079930,41174675,41221057,41709476,42110551,42245972,42603476,42944696,42951618,42967848,43525872,43818592,44087415,44225617,44389076,44424326,44454721,44745812,45026221,45798275,46226168,46634010,46707639,47026576,47595092,47631937,47973003,48193357,48228135,48238886,48312783,48338829,48966606,48976321,49137207,49295916,49310797,49409610,49502456,49503206,49726676,49742944,49755638,49755757,50007926,50088721,50613476,51015638,51152200,51288567,51443344,52004439,52384676,52510657,52703584,52904898,53010951,53390103,53524838,54524486,54957930,55023446,55195179,55690263,55960812,56078221,56268326,57126968,57150932,57254555,57356077,57546225,57873762,57991117,58496675,58621792,58728721,59086052,59253421,59291532,59788772,60157930,61382640,61435415,62176911,63108275,63294692,63662006,63800744,64267839,64881686,65208397,65474816,65523367,65910721,65949516,66019083,66090212,66410221,66547887,66907921,66962132,67310246,67403821,67654235,68705466,68861103,68866935,69055470,69353767,69573092,69661777,69856321,70096263,70196010,70445846,70534957,71113837,71775837,71884838,72165867,72189516,72454477,72739921,72981735,73304007,73318646,73370168,73458064,73659168,73722498,73735652,74157567,74254676,74345197,74709771,74813377,74875744,75222326,75293735,75459638,75696806,75729930,76155751,76407446,76603256,76644038,76880486,76943821,77401921,77839355,77847184,78011511,78568676,79085012,79145835,79216321,79223675,79485997,80409926,80433483,80735917,80778592,81147476,81185082,81503543,82541439,82640322,82866564,83193421,83249835,84126968,84229357,84235212,84422224,84834038,85065446,85169857,85447425,85939900,86178663,86220326,86283476,86624852,86730455,86802423,87191617,87266675,87578082,87648212,87753687,88290038,88329812,88473039,88519286,88558791,88799824,88840676,88926637,88975835,89434838,89741677,90348086,90352482,90549517,90875916,90950737,91143920,91509421,91622456,91668397,92537617,92719955,92780799,93029703,93103835,93320257,93407226,93604810,93863821,94403857,94480717,94642839,94826168,94975002,95068410,95245357,95286507,95444727,95535915,96228038,96378817,97051117,97422097,97818452,98158657,98240726,98997476,99076810,99353846,99610177,99798086,99825421,99899327,99899802,...,1284559148463482631509483055590650763033547358741659049593335934324346746438847406414477580472215470013912921240676253376389651193865701163755237089762453259043752785936778372472168068334468886965784403356536467207887343647130911008538024028681315907973449223146369957745391002480280019219787375187880907286069036490828148837389371203413075833818982244019619953560359274010063221868183114759080971643862240218619181417217042613972396447996258638441437569774456581368434852010273052730310346506350873004222404185083050629201693567755042256096620139134978613599546444774870152790553967266663249957928462131051706212104526635959855066840625232434052421805489783817336835042349854793769625278037908757191054798261500092208309885201335336074631587305403722824940920210194674044544624285257684209488709993090828510791797311270027515350458300035526037282287414659644678643385611151398215688778164385259585052877190956462685449740830872457906528708447607230547694422508240510941142047068560818951299000804899659090910773664834761998192429285628878335514849985500324400844876067313264959356464985927381005154232363981136003627270447598087478478288594528516925766112562444519624764703481682766889379467564809567909197570773488316622460351229342506811064115181355085406113207519814969960953454455639149478143968116374561136869777015420981533196774618082534153126246858064268122300901383642393544812097421751882875540900767239177520103262358739436255331111282740917075905440743435139999243213667612701177687381144220876283078745683470856614369065888677797849878001652298736689457633708860203746253710488786802115520657418373068585500820874113540979658824511607607748538001036888833476559313913394608009137274008604257388511283974494018869633064523529100309226357276034455057241649053347766160146566002985921442110310649009682341050307619224969793194205970948482466332029788146349321644161589592423711710693659520095702680808390310951952484885483439151780124453794569300706318561740974210200215333769983401928172809910198966785795879032986938475829165938222932293280707288480174515680050389632665671759256235452280111786031317477256060892387579163744854285116651365067682303774555846408442207799311220239933703103414111933630394744161659180317856325662443429212810153257516869981435188516535927856197672534621020866715275387748603523830239099790562210910870604276751465636147821345568963705303473029229151700914751606840804924196275914028399126051460833856874734572177951453398873643686462135866484422611238082148503870702006095832330357896218715784609165509004393290943886268322000029519070908207050733287706155601797169592905255226456898935110665536532572512208422723901356893912428017423199992592246378411709728101370020790992211842052320579062475691189582336164974347088580939339919998916277656939181142466027275424637685350547644424459751145644340001334303925098718392807528904199818967790181771531162794905021495641664810853897502977233846807305378859076264468044964257354048593761185438846989657563225408479847644775209803824417299472972818194826210653060688905153500033676126053367882121095183827966565985934161065650621835594036708974146671220997577632643172045813235645430748050456633403818736633325042611667249938659394394048954293482300874843689631496269940091019775630874462977646020371055158855672669818717779122057145295721916573836451205441575109387839086367862907142722970274478396665211356137691718711881804430811012921117697620795318418101252575951220927970919835219627744791500559094448282933726853492411065350424190943349064130806455141206315490343633708024555457767315100811962078306851805477926542507168357633826166925786360234759231917713662883339172936475394255225968221729651315984177078756}
23279  56860437988302764005330385042278223909439920077785869983666773994052929524975: {23279,488649,581725,698070,744608,837684,2673865,3208638,4347937,4665009,5081457,5458345,5497689,6184766,6550014,7160457,7575609,7858838,8237065,8468365,8835380,9884478,10162038,10475377,10602456,11067476,11530897,11702365,11927763,12394345,13299572,13472809,13982654,14042838,14873214,15062641,15158665,15422457,15492409,15810680,16472710,17099137,17787015,18116857,18146845,18190398,18318769,18972816,19246870,19521057,19767252,19820486,19975220,20151241,20911309,21344418,21562257,21764414,21776214,22273165,22344374,22506968,23096244,23272609,23707334,23970264,24059437,24331465,25088929,25320339,25738537,26008321,26169670,26664596,26727798,26842765,26966547,27361406,27595501,27767641,27972889,28284457,28314980,28777549,29197758,29576845,30259465,30859297,31092020,31169065,31281961,31403604,31468934,31478329,31625689,31737615,32211318,32214169,32305165,33406814,33803857,33853456,33867620,33977976,34097169,34858417,35060749,35195917,35492214,35653789,35707465,35734249,35933965,36311358,36799958,37310424,37402878,37576609,37596867,37782875,37813556,37970665,38085138,38092280,38225223,38341268,38397337,38648845,38766198,38994157,39291969,39961270,40409174,40447897,40455565,40551409,40641144,41021341,41148254,41280249,41974227,42034345,42412681,42710365,42848958,42853815,43120758,43314649,43525076,44084710,44237257,44442121,44758175,44777629,44955620,45012926,45339450,45410845,45473629,45564798,45710736,45721287,45966217,46115636,46378614,46541206,46864969,47422849,47724020,47953524,48000009,48105565,48362080,48546678,48962516,49179369,49572057,49986097,49994857,50147929,50441214,51192308,51252438,51294068,51424578,51512737,51667729,52136845,52807465,52901652,53241446,53254345,53515297,53680870,53709810,53723449,53770646,53946744,54407340,54493014,54516286,54773240,55436457,55486345,55762969,55825651,55825689,55932265,55978246,56564038,57268824,57290464,57533377,57726678,57782710,58034496,58035241,58427174,58783220,59493865,60148657,60543241,60690087,60866049,61044577,61619895,61859198,61878070,62158345,62178680,62276852,62564214,63245926,63266845,63368958,63529814,63549937,63895681,63905214,63940250,63964004,64007329,64198897,64258729,64275806,64304180,64417044,64427427,64451772,65052097,65092957,65288808,65480845,65516276,65727888,65879480,66583614,66636489,67027849,67118718,67439137,67988089,68116286,68384756,69339252,69951015,70539864,70681268,71020237,71121289,71186804,71392638,71408710,71438665,71544889,71812729,72358329,72443209,73277240,73449909,73593572,73611097,73812854,73857565,73869446,73905049,73943874,74114415,74253684,74254809,74590014,74614416,74633457,74735965,74911537,75011889,75012001,75777526,75886969,75920214,76523457,76728300,77165016,77539297,77699846,78022129,78498481,78577014,78647257,79055376,79118365,79352758,79357347,79458529,79528006,79750930,80169649,80287257,81786729,81843520,82237609,82436895,82535169,82612765,82902548,82972897,83349241,83410489,83513617,83702665,83941218,84402489,84865726,85690452,85726398,86324809,86810643,86966365,87340849,87489457,87504157,87932688,88025444,88629078,88730516,88937298,89166854,89370406,89496169,89683158,90236895,90916606,91217869,91607288,91712710,91814804,91822580,92073960,92169565,92451337,92818345,93461684,93594680,93878137,94140529,94317037,94942038,95493009,95701116,95754070,96221156,96252688,96807169,97308980,97322529,97738676,98187937,98210845,98212224,98296664,98694974,98856265,98876756,98924274,99135318,99613028,99877657,...,1926838722695223947264224583385976144550321038112488574390003901486520119658271109621716370708323205020869381861014380064584476790798551745632855634643679888565629178905167558708252102501703330448676605034804700811831015470696366512807036043021973861960173834719554936618086503720420028829681062781821360929103554736242223256084056805119613750728473366029429930340538911015094832802274672138621457465793360327928772125825563920958594671994387957662156354661684872052652278015409579095465519759526309506333606277624575943802540351632563384144930208702467920399319667162305229185830950899994874936892693196577559318156789953939782600260937848651078632708234675726005252563524782190654437917056863135786582197392250138312464827802003004111947380958105584237411380315292011066816936427886526314233064989636242766187695966905041273025687450053289055923431121989467017965078416727097323533167246577889377579315786434694028174611246308686859793062671410845821541633762360766411713070602841228426948501207349488636366160497252142997288643928443317503272274978250486601267314100969897439034697478891071507731348545971704005440905671397131217717432891792775388649168843666779437147055222524150334069201347214351863796356160232474933690526844013760216596172772032628109169811279722454941430181683458724217215952174561841705304665523131472299795161927123801229689370287096402183451352075463590317218146132627824313311351150858766280154893538109154382996666924111375613858161115152709998864820501419051766531071716331314424618118525206284921553598833016696774817002478448105034186450563290305619380565733180203173280986127559602878251231311170311469488236767411411622807001555333250214838970870091912013705911012906386082766925961741028304449596785293650463839535914051682585862473580021649240219849004478882163165465973514523511575461428837454689791308956422723699498044682219523982466242384388635567566040489280143554021212585466427928727328225158727670186680691853951059477842611461315300323000654975102892259214865298450178693818549480407713743748907334398439921060932720261773520075584448998507638884353178420167679046976215884091338581368745617281427674977047601523455661833769612663311698966830359900554655121167900445592116242488770476784488493665143819215229886275304972152782774803891784296508801931531300072913081622905285745358649685843316366305906415127198454221732018353445557955209543843727551372127410261207386294413871042598689077191250785312101858266927180098310465529693203799726633916857123222755806053009143748495536844328073676913748263506589936415829402483000044278606362310576099931559233402695754389357882839685348402665998304798858768312634085852035340868642026134799988888369567617564592152055031186488317763078480868593713536784373504247461520632871409009879998374416485408771713699040913136956528025821466636689626718466510002001455887648077589211293356299728451685272657296744192357532243462497216280846254465850770210958068288614396702067446386031072890641778158270484486344838112719771467162814705736625949209459227292239315979591033357730250050514189080051823181642775741949848978901241598475932753391055063461220006831496366448964758068719853468146122075684950105728104949987563917500874907989091591073431440223451312265534447244404910136529663446311694466469030556582738283509004728076668683085717943582874860754676808162362664081758629551794360714084455411717594997817034206537578067822706646216519381676546431192977627151878863926831391956379752829441617187250838641672424400590280238616598025636286415023596196209682711809473235515450562036833186650972651217943117460277708216889813760752536450739250388679540352138847876570494325008759404713091382838952332594476973976265618134}
23280  57063331273004504695482839006769250240542718323768914502756429223564040214477: {255959,651532,674279,930760,1047105,1116912,1231031,1256526,1647839,1832879,1925351,2479511,2617871,3170591,3446519,3768071,4127642,4180919,4278184,4455791,4593119,4812957,5141711,5233031,5506799,5552399,5780279,6053471,6189959,6220012,6371831,6775276,7052711,7279271,7330252,7731791,8228639,8269442,8544311,8679479,8733352,8819234,9093914,9277149,9354239,9547276,9578759,9623639,9825021,10100812,10564271,11012642,11044225,11456831,11559554,11788257,11832794,12301799,12789671,12966839,13179304,13253070,13549384,13630079,13834345,14136608,14511599,14555591,14557274,14826717,14907239,14951159,15243057,15903684,16002839,16601214,16624465,16657799,17310959,17918951,18222359,18347354,18568631,18723784,18827999,19155842,19693597,19763350,19776551,19830952,19949358,20378159,20563276,20935391,20973981,21037274,21064257,21305474,21790031,22216151,22309821,22376834,22471439,22726439,22981151,23178842,23362679,23716020,24123791,24208199,24253864,24587639,24709065,24882311,24969025,25297088,25311194,25470479,25842842,25889639,26028076,26224391,26356336,26516879,26639234,26767271,26850671,27100679,27169442,27285597,27516719,28097831,28133710,28222151,28346399,28459224,28636031,28749676,28870305,28966559,29020634,29034952,29621774,29650878,29730729,29811842,29962830,30611519,30794992,30816239,31225079,31429199,31836839,31960352,32016627,32284319,32527991,32646621,32664321,33135911,33330745,33516561,33540191,33742031,33760452,34024271,34265879,34627751,34644366,34828511,35069159,35393725,35561001,35637064,35834714,35949071,35955396,36028871,36068759,36354842,36546791,37103039,37142711,37855439,38210831,38407991,38447399,38865025,38930344,39254505,39463514,39586751,39721634,39860759,39996894,40091697,40095311,40212479,40407599,40641479,40752674,41042109,41263751,41524442,41871472,42316820,42334525,42472470,42502151,42617831,42771959,42948424,43320194,43579031,43796637,43885559,44229791,44267999,44687759,45068519,45182591,45258599,45303968,45363842,45462892,45873314,45979079,46621271,46636442,46638030,46772039,47105406,47203401,47266945,47322952,47615350,47636471,47673959,47926585,48197951,48316977,48415144,48869351,49018199,49204079,49686431,49747232,49760519,49797551,49870504,49982591,50110221,50129156,50536511,50780184,50801430,50966964,51455711,51688264,52333439,52389292,52444034,52515719,52843319,53238321,54075071,54188192,54406345,54467037,55040332,55199937,55333391,55965636,56083679,56104317,56119319,56194525,56720334,57127707,57131944,57138420,57184154,57290951,57361679,57397031,57494344,57511902,57644545,57996791,58149297,58874591,59573231,59655025,59782199,59904674,59941905,60025631,60095111,60452600,60613761,60753064,60947648,60961716,61029959,61167959,61203145,61684319,61722381,61838152,61890359,62198879,62362754,62852642,62882159,63188591,63630071,63697871,63938032,63990385,64000012,64103999,64117585,64273437,64407839,64542671,64681137,64728904,64744679,65114279,65214911,65248439,65287614,65572492,65779874,65950679,66050711,66096076,66127065,66250559,66450119,66649391,66947759,67254952,67410599,67433430,67443599,67519389,67806071,68009175,68336584,68347197,68466550,68566104,68593559,68691671,69173454,69506471,69567921,69668831,69701279,69811809,69895799,70380839,70535536,70542119,70574351,70735391,71586030,71613080,71928992,71930286,71984639,72051074,72080231,72398351,72543120,72588839,72657352,72820017,72874031,73063799,73443774,73479025,73694279,73722842,73915276,73976951,74071031,74199194,74384111,74434252,74540351,74758751,74821079,74852231,75007871,75225431,75411599,75661821,75690311,76307351,76358432,76788462,76808834,76878657,76941102,76968904,77136867,77226911,77318471,77379328,77440439,77723350,77753474,77846065,77866319,78230111,78622919,79224599,79352478,79524239,79862169,79955005,80104994,80150879,80156377,80299559,80339354,80380225,80521305,80564715,80566679,80655969,80773991,80920116,81154732,81187439,81275354,81611010,81739521,81774429,81895345,82159860,82349350,82442114,82534871,83375639,83418952,83663999,83967369,84221102,84266951,84409991,84491944,84609911,84837911,84846057,85206952,85207319,85377359,85462271,85480945,85889392,85903236,85935696,86009581,86531591,86590017,86674065,86811071,87051744,87124477,87637184,87640761,88141439,88174830,88351585,88451234,88525991,88690319,88778152,88848652,88909442,88983505,89491624,90052442,90183239,90746879,90960671,90987359,91040711,91306991,91545959,91596550,91704911,91991965,92074679,92452336,92469119,92704919,92788797,92817105,93268020,93330551,93408431,93415278,93846321,94053152,94414319,94439951,94491191,94715929,94868889,95053437,95190184,95263874,95294721,95332031,95408039,95585111,95857821,95910375,95938079,95946006,96322369,96386714,96413709,96456270,96477772,96539519,96625566,96677658,96763871,97061999,97086791,97933212,97952642,98022959,98169719,98274414,98591832,98621594,98681111,98819220,99004912,99006412,99285311,99453352,99485888,99511276,99511514,99645431,99693311,99875421,...,2890258084042835920896336875078964216825481557168732861585005852229780179487406664432574556062484807531304072791521570096876715186197827618449283451965519832848443768357751338062378153752554995673014907552207051217746523206044549769210554064532960792940260752079332404927129755580630043244521594172732041393655332104363334884126085207679420626092710049044144895510808366522642249203412008207932186198690040491893158188738345881437892007991581936493234531992527308078978417023114368643198279639289464259500409416436863915703810527448845076217395313053701880598979500743457843778746426349992312405339039794866338977235184930909673900391406772976617949062352013589007878845287173285981656875585294703679873296088375207468697241703004506167921071437158376356117070472938016600225404641829789471349597484454364149281543950357561909538531175079933583885146682984200526947617625090645985299750869866834066368973679652041042261916869463030289689594007116268732312450643541149617569605904261842640422751811024232954549240745878214495932965892664976254908412467375729901900971151454846158552046218336607261597022818957556008161358507095696826576149337689163082973753265500169155720582833786225501103802020821527795694534240348712400535790266020640324894259158048942163754716919583682412145272525188086325823928261842762557956998284697208449692742890685701844534055430644603275177028113195385475827219198941736469967026726288149420232340307163731574495000386167063420787241672729064998297230752128577649796607574496971636927177787809427382330398249525045162225503717672157551279675844935458429070848599770304759921479191339404317376846966755467204232355151117117434210502332999875322258456305137868020558866519359579124150388942611542456674395177940475695759303871077523878793710370032473860329773506718323244748198960271785267363192143256182034686963434634085549247067023329285973699363576582953351349060733920215331031818878199641893090992337738091505280021037780926589216763917191972950484500982462654338388822297947675268040727824220611570615623361001597659881591399080392660280113376673497761458326529767630251518570464323826137007872053118425922141512465571402285183492750654418994967548450245539850831982681751850668388174363733155715176732740497715728822844829412957458229174162205837676444763202897296950109369622434357928618037974528764974549458859622690797681332598027530168336932814315765591327058191115391811079441620806563898033615786876177968152787400390770147465698294539805699589950875285684834133709079513715622743305266492110515370622395259884904623744103724500066417909543465864149897338850104043631584036824259528022603998997457198288152468951128778053011302963039202199983332554351426346888228082546779732476644617721302890570305176560256371192280949307113514819997561624728113157570548561369705434792038732199955034440077699765003002183831472116383816940034449592677527908985945116288536298365193745824421269381698776155316437102432921595053101169579046609335962667237405726729517257169079657200744222058604938923814188840938358973969386550036595375075771283620077734772464163612924773468351862397713899130086582595191830010247244549673447137103079780202219183113527425158592157424981345876251312361983637386610147160335176968398301670866607365204794495169467541699703545834874107425263507092115003024628576915374312291132015212243543996122637944327691541071126683117576392496725551309806367101734059969324779072514819646789466440727818295890247087934569629244162425780876257962508636600885420357924897038454429622535394294314524067714209853273175843055249779976458976826914676190416562325334720641128804676108875583019310528208271814855741487513139107069637074258428498891715460964398427201}
23281  57266943790103079801572822448718281194930853059431972149372922923088257582547: {46558,814415,977298,1163450,1396140,1489216,1675368,1884789,3743411,4859459,5138471,5347730,6191463,6417276,7641683,7775015,8469095,8695874,9162815,9330018,10162914,10916690,10986371,10995378,11531891,11855711,11934095,12369532,12379991,12404163,12626015,13100028,13228851,13640871,14320914,14609783,15151218,15573239,15717676,16383311,16474130,16518963,16560851,16936730,17100611,17339331,17352083,17670760,17749191,17801303,18627191,19768956,19879605,20208071,20324076,20950754,21204912,21222131,21410831,21835911,22134952,23061794,23371463,23404730,23815103,23855526,24061511,24725591,24788690,24901821,25405583,25704095,26010563,26248211,26421383,26599144,26889959,26945618,27521031,27965308,28085676,28733763,28941623,29498639,29645025,29746428,29924037,30125282,30317330,30418271,30844914,30984818,31182431,31555911,31621360,31958211,32163143,32330771,32535095,32545391,32816303,32945420,33565251,33806771,34064051,34198274,34768263,35198951,35367299,35574030,35937095,36233714,36293690,36380796,36637538,36912791,37579871,37945632,37966791,38112671,38202383,38493740,38764263,39042114,39185543,39534504,39640972,39950440,39958851,40302482,40339583,40754163,40896311,41196311,41407583,41822618,42200565,42363251,42688836,43124514,43528828,43530951,43552428,43636691,43850399,44432661,44476317,44546330,44688748,44717763,44944245,45013936,45227231,45322163,45378671,46192488,46545218,47414668,47940528,48118874,48662930,49990451,50177858,50307551,50502419,50640678,51477074,51966549,52016642,52339340,52896025,53089343,53158931,53329192,53455596,53519939,53685530,53752071,53933094,54108383,54323711,54532263,54722812,55191002,55535282,55945778,56568914,56629960,56637791,56828615,57555098,57573059,58040279,58395516,58848083,59084831,59153690,59195271,59582451,59608691,59794511,59995341,60518930,60875471,61049879,61129011,61718594,62184040,62286663,62338130,62563922,62661445,62807208,62937868,62956658,63245351,63251378,63475230,63575183,63656231,63708705,64422636,64428338,64610330,64980291,65486615,66436991,66813628,67347791,67565651,67607714,67706912,67735240,67955952,67993991,68045763,68194338,68587103,68800415,68809971,69338831,69716834,69954663,69957045,70059671,70121498,70391834,70658109,70728851,70984428,71307578,71414930,71423025,71468498,71537603,71551103,71867930,72143591,72622716,72952883,72991583,73155023,73599916,73930451,74556083,74620848,74805756,74898911,75104471,75153218,75193734,75565750,75627112,75695951,75941330,76170276,76184560,76202145,76450446,76682536,76765331,76794674,76879751,77297690,77532396,77546051,77680883,77988314,78305171,78583938,78666051,78671123,79375559,79922540,80000015,80818348,80895794,80911130,81102818,81282288,81965615,82042682,82296508,82560498,82620095,82691111,83291411,83724659,83948454,84068690,84825362,85080501,85420730,85697916,85707630,85776231,86174639,86241516,86267853,86485391,86629298,87021683,87050152,87201203,87348431,87993719,88169420,88474514,88573583,88884242,89516350,89555258,89857011,89911240,90025852,90678900,90821690,90947258,91129596,91421472,91442574,91637351,91673183,91932434,92039711,92231272,92394095,92757228,93042815,93082412,93544131,93729938,94278963,94845698,95448040,95907048,96000018,96211130,96710711,96724160,97093356,97616243,97925032,97931421,98358738,98669811,98697911,99144114,99972194,99989714,...,3853677445390447894528449166771952289100642076224977148780007802973040239316542219243432741416646410041738763722028760129168953581597103491265711269287359777131258357810335117416504205003406660897353210069609401623662030941392733025614072086043947723920347669439109873236173007440840057659362125563642721858207109472484446512168113610239227501456946732058859860681077822030189665604549344277242914931586720655857544251651127841917189343988775915324312709323369744105304556030819158190931039519052619012667212555249151887605080703265126768289860417404935840798639334324610458371661901799989749873785386393155118636313579907879565200521875697302157265416469351452010505127049564381308875834113726271573164394784500276624929655604006008223894761916211168474822760630584022133633872855773052628466129979272485532375391933810082546051374900106578111846862243978934035930156833454194647066334493155778755158631572869388056349222492617373719586125342821691643083267524721532823426141205682456853897002414698977272732320994504285994577287856886635006544549956500973202534628201939794878069394957782143015462697091943408010881811342794262435434865783585550777298337687333558874294110445048300668138402694428703727592712320464949867381053688027520433192345544065256218339622559444909882860363366917448434431904349123683410609331046262944599590323854247602459378740574192804366902704150927180634436292265255648626622702301717532560309787076218308765993333848222751227716322230305419997729641002838103533062143432662628849236237050412569843107197666033393549634004956896210068372901126580611238761131466360406346561972255119205756502462622340622938976473534822823245614003110666500429677941740183824027411822025812772165533851923482056608899193570587300927679071828103365171724947160043298480439698008957764326330931947029047023150922857674909379582617912845447398996089364439047964932484768777271135132080978560287108042425170932855857454656450317455340373361383707902118955685222922630600646001309950205784518429730596900357387637098960815427487497814668796879842121865440523547040151168897997015277768706356840335358093952431768182677162737491234562855349954095203046911323667539225326623397933660719801109310242335800891184232484977540953568976987330287638430459772550609944305565549607783568593017603863062600145826163245810571490717299371686632732611812830254396908443464036706891115910419087687455102744254820522414772588827742085197378154382501570624203716533854360196620931059386407599453267833714246445511612106018287496991073688656147353827496527013179872831658804966000088557212724621152199863118466805391508778715765679370696805331996609597717536625268171704070681737284052269599977776739135235129184304110062372976635526156961737187427073568747008494923041265742818019759996748832970817543427398081826273913056051642933273379253436933020004002911775296155178422586712599456903370545314593488384715064486924994432561692508931701540421916136577228793404134892772062145781283556316540968972689676225439542934325629411473251898418918454584478631959182066715460500101028378160103646363285551483899697957802483196951865506782110126922440013662992732897929516137439706936292244151369900211456209899975127835001749815978183182146862880446902624531068894488809820273059326892623388932938061113165476567018009456153337366171435887165749721509353616324725328163517259103588721428168910823435189995634068413075156135645413292433038763353092862385955254303757727853662783912759505658883234374501677283344848801180560477233196051272572830047192392419365423618946471030901124073666373301945302435886234920555416433779627521505072901478500777359080704277695753140988650017518809426182765677904665188953947952531236268}
23282  57471278072465035202999168672508119061917484334258923501664601118957624638763: {69837,302497,511918,720781,1303064,1348558,1465947,1694257,1745175,1833037,1861520,2094210,2233824,2462062,2513052,2525857,3216877,3295678,3492781,3665758,3850702,4867981,4959022,5142157,5235742,5279137,5552881,6235981,6341182,6893038,7536142,8021595,8255284,8361838,8556368,8911582,9186238,9624481,9625914,10283422,10466062,11013598,11104798,11368717,11560558,12106942,12302881,12379918,12440024,12743662,13043811,13550552,13896097,13995027,14105422,14292781,14556877,14558542,14660504,14952481,15244371,15461915,15463582,16004257,16375035,16457278,16493067,16528417,16538884,16659277,16920781,17088622,17358958,17466704,17638468,18187828,18554298,18613537,18708478,19094552,19157518,19247278,19368083,19647095,19650042,20201624,21128542,21481371,22025284,22088450,22090381,22473457,22726827,22913662,23119108,23274251,23576514,23665588,24252577,24603598,24711195,24884557,25010737,25405095,25514737,25579342,25891981,25933678,26358608,26506140,27098768,27144781,27260158,27668690,28141837,28273216,28390381,29010481,29023198,29111182,29114548,29653434,29814478,29902318,30486114,31105357,31426131,31807368,32005678,32327917,33202428,33248930,33300781,33315598,33543277,34592691,34621918,34871857,34956635,35107095,35112481,35783289,35837902,36072097,36444718,36550177,36694708,37137262,37146157,37183035,37447568,37655998,37740337,37858957,38311684,38332717,38450977,38687281,39387194,39526700,39553102,39661904,39898716,40418427,40756318,41126552,41181775,41870782,41947962,42074548,42128514,42544717,42610948,43580062,44272177,44432302,44619642,44730097,44753668,44942878,45187923,45300877,45452878,45475995,45642481,45962302,46267371,46357684,46477227,46663043,46725358,46776481,47340781,47432040,47678497,47903281,48117175,48247582,48416398,48507728,49175278,49418130,49551215,49764622,49802317,49938050,50594176,50622388,50940958,51297411,51460657,51685684,51779278,52056152,52448782,52666477,52712672,52884781,53033758,53278468,53361045,53534542,53701342,54201358,54338884,54350571,54411035,54440535,54571194,54956307,55033438,55051981,55267117,55374577,55860935,55910797,56124781,56195662,56267420,56444302,56445217,56692798,56918448,57272062,57402637,57499352,57740610,57933118,58041268,58069904,58248781,58563171,59243548,59268335,59301756,59461458,59623684,59925660,60453723,61223038,61589984,61632478,61690417,62450158,62717857,62733927,62858398,62922481,63673678,63738097,63920704,63941281,64033254,64568638,64686771,65055982,65154337,65254957,65293242,65328642,65424175,65455981,66173723,66257197,66271822,66661490,66819495,67033122,67080382,67097219,67450381,67484062,67520904,68048542,68403515,68531758,68633197,68731297,69255502,69288732,69657022,69708337,69817827,70138318,70581517,70787450,71122002,71274128,71669428,71898142,71910792,72023857,72057742,72137518,72178311,72709684,72994395,73071277,73093582,73921777,74206078,74285422,74859937,75266787,75710878,75961017,76168883,76421662,76815982,76894798,77215611,77730050,77860688,77904781,78024963,78509010,78631117,78672335,78927028,79173502,79443268,79721518,79993788,80159281,80183394,80190622,80424958,80528295,80604781,80702363,80815198,80899641,81225457,81282958,81505348,82084218,82527502,82543597,82786503,83048884,83302923,83413357,83517035,83742944,83918667,84633640,84669050,84853371,84944940,85004302,85235662,85543918,85684403,85810381,85896848,85979437,86232481,86332647,86640388,87158062,87593274,87737137,87771118,88150957,88459582,88535998,88562977,88727281,88730535,89136781,89375518,89586539,89764619,90112237,90137038,90365182,90517198,90607936,90727684,90778395,90925784,90997297,91316977,91746628,91958158,91999895,92190157,92577891,92741281,92898097,93242542,93272884,93276060,93507195,93544078,93845883,94210812,94406802,94434987,94450417,94533890,94645904,94877067,95212845,95230700,95272942,95347918,95595757,95853170,96395902,96633954,96642507,96799597,96830288,96915495,96948781,97097677,97738702,98036398,98058481,98408158,98643697,99296557,99372862,99494464,99521038,99595102,99728557,99741008,99903175,99965182,...,5780516168085671841792673750157928433650963114337465723170011704459560358974813328865149112124969615062608145583043140193753430372395655236898566903931039665696887536715502676124756307505109991346029815104414102435493046412089099538421108129065921585880521504158664809854259511161260086489043188345464082787310664208726669768252170415358841252185420098088289791021616733045284498406824016415864372397380080983786316377476691762875784015983163872986469063985054616157956834046228737286396559278578928519000818832873727831407621054897690152434790626107403761197959001486915687557492852699984624810678079589732677954470369861819347800782813545953235898124704027178015757690574346571963313751170589407359746592176750414937394483406009012335842142874316752712234140945876033200450809283659578942699194968908728298563087900715123819077062350159867167770293365968401053895235250181291970599501739733668132737947359304082084523833738926060579379188014232537464624901287082299235139211808523685280845503622048465909098481491756428991865931785329952509816824934751459803801942302909692317104092436673214523194045637915112016322717014191393653152298675378326165947506531000338311441165667572451002207604041643055591389068480697424801071580532041280649788518316097884327509433839167364824290545050376172651647856523685525115913996569394416899385485781371403689068110861289206550354056226390770951654438397883472939934053452576298840464680614327463148990000772334126841574483345458129996594461504257155299593215148993943273854355575618854764660796499050090324451007435344315102559351689870916858141697199540609519842958382678808634753693933510934408464710302234234868421004665999750644516912610275736041117733038719158248300777885223084913348790355880951391518607742155047757587420740064947720659547013436646489496397920543570534726384286512364069373926869268171098494134046658571947398727153165906702698121467840430662063637756399283786181984675476183010560042075561853178433527834383945900969001964925308676777644595895350536081455648441223141231246722003195319763182798160785320560226753346995522916653059535260503037140928647652274015744106236851844283024931142804570366985501308837989935096900491079701663965363503701336776348727466311430353465480995431457645689658825914916458348324411675352889526405794593900218739244868715857236075949057529949098917719245381595362665196055060336673865628631531182654116382230783622158883241613127796067231573752355936305574800781540294931396589079611399179901750571369668267418159027431245486610532984221030741244790519769809247488207449000132835819086931728299794677700208087263168073648519056045207997994914396576304937902257556106022605926078404399966665108702852693776456165093559464953289235442605781140610353120512742384561898614227029639995123249456226315141097122739410869584077464399910068880155399530006004367662944232767633880068899185355055817971890232577072596730387491648842538763397552310632874204865843190106202339158093218671925334474811453459034514338159314401488444117209877847628377681876717947938773100073190750151542567240155469544928327225849546936703724795427798260173165190383660020494489099346894274206159560404438366227054850317184314849962691752502624723967274773220294320670353936796603341733214730409588990338935083399407091669748214850527014184230006049257153830748624582264030424487087992245275888655383082142253366235152784993451102619612734203468119938649558145029639293578932881455636591780494175869139258488324851561752515925017273201770840715849794076908859245070788588629048135428419706546351686110499559952917953653829352380833124650669441282257609352217751166038621056416543629711482975026278214139274148516856997783430921928796854402}
23283  57676336661818154285437532299565417356135801268514237613408863531838442867458: {93116,767877,1140181,1628830,1954596,2022837,2326900,2792280,2978432,3141315,3350736,3693093,3769578,4943517,5498637,5742997,5776053,7438533,7486822,7853613,9511773,9718918,10276942,10319105,10339557,10695460,10885021,11304213,11856733,12382926,12542757,12827941,12834552,12983893,13367373,13779357,14438871,15283366,15425133,15550030,15699093,16328581,16520397,16657197,16707733,16938190,17340837,17391748,17676421,18119981,18160413,18325630,18404737,18569877,18660036,19115493,20209813,20325828,20673605,21158133,21171557,21833380,21837813,21972742,21990756,22013953,22048085,22734785,23063782,23195373,23711422,23868190,24685917,24739064,24759982,24808326,25252030,25632933,26038437,26200056,26457702,26892277,27281742,27531605,27831447,28062717,28641828,28736277,28786637,28870917,28898885,29219566,29221153,29475063,29529781,29581985,30302436,30937597,31020613,31146478,31435352,31483757,31692813,31773121,32766622,32948260,33037926,33121702,33132675,33873460,34201222,34370493,34678662,34704166,35341520,35364771,35498382,35602606,35659937,35985733,36393185,36905397,36915973,37254382,37867637,38209093,38369013,38900517,39000881,39537912,39759210,40416142,40648152,40890237,41503035,41797717,41901508,42126221,42409824,42444262,42696781,42821662,42891253,43534797,43666773,43671822,43957397,44269904,44480151,44721717,44853477,45549133,45729171,45868385,46123588,46742926,46809460,47630206,47711052,47889605,48008517,48123022,48493181,49408375,49451182,49577380,49803642,49873395,49973397,50311933,50389697,50811166,51224501,51408190,51932877,52021126,52496422,52593185,52842766,53198288,53263685,53756853,53779918,53798357,53891236,54667077,55042062,55705893,55930616,55942085,56171352,56483997,56750677,57467526,57883246,57947105,58555361,58997278,59048957,59080791,59290050,59329653,59492856,59684677,59848074,60250564,60634660,60836542,61134477,61689828,61969636,62364862,62590273,62806173,62921943,63111822,63192771,63242720,63250837,63277985,63560981,63916422,64326286,64607105,64661542,65070190,65090782,65370093,65578061,65632606,65890840,66598085,66648453,66761413,66929463,67130502,67414317,67613542,67717141,67923605,68065877,68128102,68179317,68396548,68593057,68943453,69536526,70088037,70253741,70334275,70397902,70734598,71148060,71874190,72149857,72371373,72467428,72551585,72587380,72624597,72721213,72761592,73275076,73762917,73825582,74054435,74127195,74529605,74646933,74907075,75159742,75891264,75933582,76225342,76404766,76411437,76987480,77528526,77668917,78084228,78200197,78371086,78549581,78673173,78810077,79069008,79281944,79550637,79560061,79900880,79917702,80301813,80552013,80604964,80679166,81302037,81508326,81792622,81856791,82392622,82550157,82797793,82815166,83645236,84293493,84401130,84601357,84666453,84726502,85039197,85377672,85908093,86249028,86610915,86899677,87057656,87061902,87104856,87147317,87273382,87700798,87726023,88197973,88865322,88907501,88952634,89092660,89192187,89377496,89435526,89586785,89888490,90027872,90454462,90644326,90757342,90887105,91645333,91681261,91834557,91843841,91863173,92384976,92419477,92448717,93090436,93558701,93675237,94287597,94829336,95024477,95510517,95881056,96049881,96237748,96320581,96529453,96852957,97325860,97583973,97624717,97939863,97992963,98658785,99304085,99407733,99980902,99992235,...,8670774252128507762689010625236892650476444671506198584755017556689340538462219993297723668187454422593912218374564710290630145558593482855347850355896559498545331305073254014187134461257664987019044722656621153653239569618133649307631662193598882378820782256237997214781389266741890129733564782518196124180965996313090004652378255623038261878278130147132434686532425099567926747610236024623796558596070121475679474566215037644313676023974745809479703595977581924236935251069343105929594838917868392778501228249310591747111431582346535228652185939161105641796938502230373531336239279049976937216017119384599016931705554792729021701174220318929853847187056040767023636535861519857944970626755884111039619888265125622406091725109013518503763214311475129068351211418814049800676213925489368414048792453363092447844631851072685728615593525239800751655440048952601580842852875271937955899252609600502199106921038956123126785750608389090869068782021348806196937351930623448852708817712785527921268255433072698863647722237634643487798897677994928764725237402127189705702913454364538475656138655009821784791068456872668024484075521287090479728448013067489248921259796500507467161748501358676503311406062464583387083602721046137201607370798061920974682777474146826491264150758751047236435817575564258977471784785528287673870994854091625349078228672057105533602166291933809825531084339586156427481657596825209409901080178864448260697020921491194723485001158501190262361725018187194994891692256385732949389822723490914910781533363428282146991194748575135486676511153016472653839027534806375287212545799310914279764437574018212952130540900266401612697065453351352302631506998999625966775368915413604061676599558078737372451166827834627370023185533821427087277911613232571636381131110097421580989320520154969734244596880815355802089576429768546104060890303902256647741201069987857921098090729748860054047182201760645993095456634598925679272977013214274515840063113342779767650291751575918851453502947387963015166466893843025804122183472661834711846870083004792979644774197241177980840340130020493284374979589302890754555711392971478411023616159355277766424537396714206855550478251963256984902645350736619552495948045255552005164523091199467145530198221493147186468534488238872374687522486617513029334289608691890850328108867303073785854113923586294923648376578868072393043997794082590505010798442947296773981174573346175433238324862419691694100847360628533904458362201172310442397094883619417098769852625857054502401127238541146868229915799476331546111867185779654713871232311173500199253728630397592449692016550312130894752110472778584067811996992371594864457406853386334159033908889117606599949997663054279040664684247640339197429933853163908671710915529680769113576842847921340544459992684874184339472711645684109116304376116196599865103320233099295009006551494416349151450820103348778032583726957835348865608895095581237473263808145096328465949311307298764785159303508737139828007888001712217180188551771507238971602232666175814816771442566522815076921908159650109786125227313850860233204317392490838774320405055587193141697390259747785575490030741733649020341411309239340606657549340582275475776472274944037628753937085950912159830441481005530905194905012599822095614383485508402625099110637504622322275790521276345009073885730746122936873396045636730631988367913832983074623213380049352729177490176653929419101305202179907974337217544458940368399322183454887670741263803708887732487277342628773887525909802656261073774691115363288867606182882943572203142629559819527529165749339929376930480744028571249686976004161923386414028326626749057931584624815444567224462539417321208911222775285496675146382893195281603}
23284  57882122108782255270084193640808243425887954748663428291920442354210961905935: {116395,139674,604994,1023836,1441562,1925683,2443245,2606128,2697116,2908625,2931894,3388514,3490350,3666074,3723040,3860539,4188420,4467648,4548139,4924124,5026104,5051714,5233939,5654367,5917939,6054523,6433754,6463843,6591356,6985562,7144603,7331516,7701404,7959139,8771083,9735962,9849643,9918044,10284314,10471484,10558274,10655539,11105762,11230233,12471962,12658939,12682364,12791923,13323139,13369325,13455763,13786076,14514163,14578377,14646139,15072284,15415413,16043190,16510568,16723676,16747963,17112736,17401003,17823164,18372476,18574389,19248962,19251828,19866139,20566844,20932124,21024763,21646681,21739685,21793939,22027196,22209596,22560523,22737434,22925049,23121116,23325045,24212563,24213884,24605762,24759836,24880048,25407285,25475083,25487324,26087622,26354563,26855539,27101104,27291725,27488445,27505933,27792194,27990054,28210844,28585562,28723939,29113754,29117084,29321008,29904962,30083803,30488742,30923830,30927164,30947081,31312483,32008514,32290243,32750070,32899003,32914556,32959113,32986134,33056834,33077768,33318554,33841562,34111123,34177244,34352683,34595673,34714483,34717916,34933408,35276936,35436139,35567133,35802285,36035539,36375656,36633139,37108596,37109923,37139973,37212489,37227074,37416956,37878045,38189104,38315036,38494556,38736166,39294190,39300084,39686553,40180939,40403248,40649083,40765939,40922613,41185325,42257084,42341825,42962742,43778923,43829349,44050568,44176900,44180762,44946914,45267163,45453654,45827324,46238216,46548502,46719717,47153028,47331176,47645539,47758003,48505154,48939289,49149933,49207196,49422390,49556889,49682553,49769114,49770043,50021474,50324803,50810190,51029474,51158684,51301833,51538939,51783962,51867356,52017993,52056249,52376885,52525843,52717216,53012280,53247573,53403909,53615563,54157723,54197536,54289562,54520316,54805939,55337380,55881573,56283674,56308363,56546432,56780762,56947939,57372883,57654485,58020962,58046396,58113763,58222364,58229096,58511825,59306868,59584939,59628956,59638815,59804636,60106939,60624213,60972228,61249003,61971725,62210714,62279683,62852262,63201139,63614736,63666393,63710539,64011356,64232493,64622923,64655834,65507733,66330403,66404856,66497860,66601562,66631196,66729139,67086554,67126723,67364045,69097363,69185382,69243836,69371701,69743714,69780283,69913270,70114389,70168939,70214190,70224962,71231803,71445309,71566578,71675804,72144194,72184533,72476683,72889436,73100354,73389416,74176773,74274524,74292314,74366070,74368123,74705463,74836483,74895136,75023323,75303043,75311996,75313205,75480674,75717914,75767803,75793325,76175449,76216749,76623368,76665434,76901954,77112285,77374562,77462045,78031689,78205309,78246403,78744633,78774388,79053400,79060939,79106204,79264149,79323808,79797432,80316403,80669877,80836854,80938843,81204523,81381283,81512636,82173139,82253104,82363550,82563093,82697803,82975669,83741564,83895924,84149096,84256243,84257028,85089434,85221896,85495685,85706683,86201289,86824869,87160124,87219763,88495917,88544354,88864604,88935075,89239284,89460194,89507336,89689723,89772111,89885756,90375846,90498643,90584285,90601754,90659563,90734225,90905756,90951990,91060603,91254813,91284962,91593845,91924604,92094883,92534742,92715368,92954454,93326086,93429043,93450716,93547293,93552962,94512139,94667733,94681562,94864080,95277139,95353243,95356994,95764921,95806562,95874633,96234350,96336043,96486163,96489429,96495164,96832796,96992313,97015456,97528939,97605285,97636173,97824283,98350556,98448909,98836260,99102430,99529244,99604634,99715939,99876100,...,11561032336171343683585347500315856867301926228674931446340023408919120717949626657730298224249939230125216291166086280387506860744791310473797133807862079331393775073431005352249512615010219982692059630208828204870986092824178199076842216258131843171761043008317329619708519022322520172978086376690928165574621328417453339536504340830717682504370840196176579582043233466090568996813648032831728744794760161967572632754953383525751568031966327745972938127970109232315913668092457474572793118557157857038001637665747455662815242109795380304869581252214807522395918002973831375114985705399969249621356159179465355908940739723638695601565627091906471796249408054356031515381148693143926627502341178814719493184353500829874788966812018024671684285748633505424468281891752066400901618567319157885398389937817456597126175801430247638154124700319734335540586731936802107790470500362583941199003479467336265475894718608164169047667477852121158758376028465074929249802574164598470278423617047370561691007244096931818196962983512857983731863570659905019633649869502919607603884605819384634208184873346429046388091275830224032645434028382787306304597350756652331895013062000676622882331335144902004415208083286111182778136961394849602143161064082561299577036632195768655018867678334729648581090100752345303295713047371050231827993138788833798770971562742807378136221722578413100708112452781541903308876795766945879868106905152597680929361228654926297980001544668253683148966690916259993188923008514310599186430297987886547708711151237709529321592998100180648902014870688630205118703379741833716283394399081219039685916765357617269507387867021868816929420604468469736842009331999501289033825220551472082235466077438316496601555770446169826697580711761902783037215484310095515174841480129895441319094026873292978992795841087141069452768573024728138747853738536342196988268093317143894797454306331813405396242935680861324127275512798567572363969350952366021120084151123706356867055668767891801938003929850617353555289191790701072162911296882446282462493444006390639526365596321570641120453506693991045833306119070521006074281857295304548031488212473703688566049862285609140733971002617675979870193800982159403327930727007402673552697454932622860706930961990862915291379317651829832916696648823350705779052811589187800437478489737431714472151898115059898197835438490763190725330392110120673347731257263062365308232764461567244317766483226255592134463147504711872611149601563080589862793178159222798359803501142739336534836318054862490973221065968442061482489581039539618494976414898000265671638173863456599589355400416174526336147297038112090415995989828793152609875804515112212045211852156808799933330217405705387552912330187118929906578470885211562281220706241025484769123797228454059279990246498912452630282194245478821739168154928799820137760310799060012008735325888465535267760137798370710111635943780465154145193460774983297685077526795104621265748409731686380212404678316186437343850668949622906918069028676318628802976888234419755695256755363753435895877546200146381500303085134480310939089856654451699093873407449590855596520346330380767320040988978198693788548412319120808876732454109700634368629699925383505005249447934549546440588641340707873593206683466429460819177980677870166798814183339496429701054028368460012098514307661497249164528060848974175984490551777310766164284506732470305569986902205239225468406936239877299116290059278587157865762911273183560988351738278516976649703123505031850034546403541681431699588153817718490141577177258096270856839413092703372220999119905835907307658704761666249301338882564515218704435502332077242112833087259422965950052556428278548297033713995566861843857593708804}
23285  58088636972900094875407287875349281794228132618605050999517851533782630344318: {186232,209511,907491,1279795,1535754,2162343,2280362,3257660,3371395,3909192,4045674,4397841,4653800,5082771,5235525,5499111,5584560,5882503,5956864,6155155,6282630,6701472,6719539,7386186,7539156,7577571,8239195,9164395,9626755,9650631,9887034,10478343,10997274,11485994,11552106,12008359,12397555,13089355,14446747,14603943,14877066,14973644,15426471,15707226,15837411,15852955,16189219,16658643,17232595,18121543,18630403,18707943,18840355,19023546,19437836,19533907,20553884,20638210,20679114,20904595,21390920,21414523,21770042,22278955,22608426,22965595,23278627,23713466,24064785,24765852,25020931,25085514,25655882,25669104,25708555,25745203,25967786,26165155,26425939,26734746,27267559,27533995,27558714,27761995,27998779,28291771,28873443,28877742,28901395,28943047,30267355,30566732,30850266,30867319,30949795,31100060,31142827,31398186,31486471,31633867,31828699,31859155,32551003,32657162,33040794,33314394,33349063,33415466,33876380,34020571,34106151,34681674,34783496,35263555,35352842,35663011,36239962,36320826,36396355,36651260,36809474,36908643,37139754,37320072,38119243,38230986,38544247,38658955,38934331,39004243,39131433,39690067,39777739,39923059,40346539,40419626,40458439,40651656,40903363,41143195,41347210,41414779,41688291,41985081,42316266,42343114,42721555,42878343,42913627,43397395,43666760,43670631,43675626,43945484,43981512,44027906,44096170,44700619,44857443,45056227,45469570,45733113,46127564,46385745,46390746,46771195,47082247,47422844,47435131,47736380,47893795,48012771,48118195,49000963,49125105,49371834,49478128,49479201,49519964,49585251,49616652,49977831,50504060,50621587,50762343,50950459,51265866,51949651,52076874,52400112,52821355,52847731,52915404,53529223,53784554,53872099,54563484,54863671,55063210,55221125,55662894,55777411,55840611,56125434,57283656,57284155,57310123,57472554,57573274,57741834,57797770,58104249,58439132,58442306,58941285,58950126,59054083,59059562,59163970,59341339,59794027,60604872,61508995,61875194,62041226,62292956,62870704,62967514,63385626,63546242,63948355,64215739,64444113,64834195,65069059,65146267,65444227,65533244,65896520,66075852,66243404,66265350,66271143,66570823,67045447,67420371,67456603,67746920,68150395,68180481,68402444,68571943,68740986,69171725,69357324,69408332,69693703,69785131,69822753,70683040,70729542,70996764,71038699,71071363,71205212,71319874,71971466,72461971,72557995,72757731,72777955,72786370,73293127,73630459,73810794,73831946,74133585,74508764,74536195,74569159,74653671,74755795,75032211,75117523,75735274,75839611,76215285,76262587,76418186,76544211,76738026,77264779,77308279,77675943,77801034,78001762,78318919,78518887,78556423,79054723,79075824,79518420,80014195,80441491,80644327,80832284,81125947,81296304,81434343,81780474,82654471,82705459,83006070,83122325,83288995,83535463,83595434,83803016,84252442,84425511,84819648,84888524,85027459,85171143,85393562,85643324,85782506,85989367,86554795,86598151,87031443,87069594,87333546,87343644,87914794,88539808,88589179,88915219,88960302,89002243,89443434,89594755,89602171,89690827,89706954,90449947,91098266,91111795,91458342,91547527,91736770,92247176,92475559,92831323,92843155,93184627,93237319,93316071,93485852,93566827,93618920,93962803,94139995,94278393,94341619,95093047,95260412,95422104,95779210,95835163,96017034,96086203,96246044,96983751,96986362,98177899,98213539,98467985,98816750,98882755,98902364,99154760,99367207,99607284,99746790,99902343,99903859,99946794,...,17341548504257015525378021250473785300952889343012397169510035113378681076924439986595447336374908845187824436749129420581260291117186965710695700711793118997090662610146508028374268922515329974038089445313242307306479139236267298615263324387197764757641564512475994429562778533483780259467129565036392248361931992626180009304756511246076523756556260294264869373064850199135853495220472049247593117192140242951358949132430075288627352047949491618959407191955163848473870502138686211859189677835736785557002456498621183494222863164693070457304371878322211283593877004460747062672478558099953874432034238769198033863411109585458043402348440637859707694374112081534047273071723039715889941253511768222079239776530251244812183450218027037007526428622950258136702422837628099601352427850978736828097584906726184895689263702145371457231187050479601503310880097905203161685705750543875911798505219201004398213842077912246253571501216778181738137564042697612393874703861246897705417635425571055842536510866145397727295444475269286975597795355989857529450474804254379411405826908729076951312277310019643569582136913745336048968151042574180959456896026134978497842519593001014934323497002717353006622812124929166774167205442092274403214741596123841949365554948293652982528301517502094472871635151128517954943569571056575347741989708183250698156457344114211067204332583867619651062168679172312854963315193650418819802160357728896521394041842982389446970002317002380524723450036374389989783384512771465898779645446981829821563066726856564293982389497150270973353022306032945307678055069612750574425091598621828559528875148036425904261081800532803225394130906702704605263013997999251933550737830827208123353199116157474744902333655669254740046371067642854174555823226465143272762262220194843161978641040309939468489193761630711604179152859537092208121780607804513295482402139975715842196181459497720108094364403521291986190913269197851358545954026428549031680126226685559535300583503151837702907005894775926030332933787686051608244366945323669423693740166009585959289548394482355961680680260040986568749959178605781509111422785942956822047232318710555532849074793428413711100956503926513969805290701473239104991896090511104010329046182398934291060396442986294372937068976477744749375044973235026058668579217383781700656217734606147571708227847172589847296753157736144786087995588165181010021596885894593547962349146692350866476649724839383388201694721257067808916724402344620884794189767238834197539705251714109004802254477082293736459831598952663092223734371559309427742464622347000398507457260795184899384033100624261789504220945557168135623993984743189728914813706772668318067817778235213199899995326108558081329368495280678394859867706327817343421831059361538227153685695842681088919985369748368678945423291368218232608752232393199730206640466198590018013102988832698302901640206697556065167453915670697731217790191162474946527616290192656931898622614597529570318607017474279656015776003424434360377103543014477943204465332351629633542885133045630153843816319300219572250454627701720466408634784981677548640810111174386283394780519495571150980061483467298040682822618478681213315098681164550951552944549888075257507874171901824319660882962011061810389810025199644191228766971016805250198221275009244644551581042552690018147771461492245873746792091273461263976735827665966149246426760098705458354980353307858838202610404359815948674435088917880736798644366909775341482527607417775464974554685257547775051819605312522147549382230726577735212365765887144406285259119639055058331498679858753860961488057142499373952008323846772828056653253498115863169249630889134448925078834642417822445550570993350292765786390563206}
23286  58295883822668378676118413054108665200773400053170937389942324050867047093360: {162953,232790,279348,395573,1209988,1370393,1925849,2047672,2064533,2249333,2303631,2618549,2883124,2941193,3420543,3851366,4072075,4594313,4886490,5143049,5212256,5234393,5280053,5371349,5394232,5817250,5863788,5918453,6068511,6191573,6509849,6736949,6777028,6980700,7190549,7332148,7446080,7721078,8005013,8376840,8681753,8935296,9096278,9356693,9423945,9848248,9895349,10052208,10103428,10467878,10924553,11079279,11308734,11370713,11459849,11593493,11835878,12109046,12438233,12867508,12925973,12927686,13103093,13182712,13324313,13766153,13971124,13986773,14289206,14559449,14647433,14663032,14830551,15218549,15402808,15918278,16225673,16495911,16749449,17228991,17328159,17542166,18717055,18833033,19135349,19471924,19652693,19699286,19836088,20555273,20568628,20941013,20942968,21116548,21311078,21923849,22211524,22315599,22460466,22477493,22562549,23114633,23560839,24256949,24297295,24341333,24943924,25015253,25317878,25364728,25519349,25583846,25692355,25729049,26356949,26646278,26738650,26774549,26911526,26983049,27524213,27572152,27731993,28229849,28354133,28535319,29028326,29156754,29292278,30144568,30435559,30830826,30957315,31018671,31111049,31192793,31601033,32086380,32333849,32415113,32655063,32658713,33021136,33447352,33495926,33670613,33872393,33912639,34225472,34802006,34958549,35439413,35570199,35646328,36078773,36573823,36636533,36676313,36744952,36875093,37148778,37153049,37628271,38208415,38339849,38418713,38483823,38497924,38503656,38875075,38951679,39732278,39989273,40102119,40223753,40418933,40769753,41133688,41338071,41864248,42049526,42050549,42345475,42629849,42899573,43293362,43316613,43322633,43479370,43587878,44054392,44419192,44471513,45043253,45121046,45195413,45309449,45474868,45814075,45850098,45992153,46242232,46275399,46650090,47097279,47650073,47687573,47762549,48425126,48427768,48985743,48995033,49143833,49211524,49329653,49519672,49561191,49760096,49811849,49922933,49971591,50107913,50123199,50809013,50814570,50950166,50974648,51543893,52022511,52175244,52676633,52709126,52749449,53029263,53403353,53656949,53711078,54202208,54359943,54481239,54583450,54631433,54847193,54931855,54976890,55011866,55214211,55349513,55456949,55584388,55709631,55980108,56421688,56527349,56953493,57171124,57346479,57413849,57447878,57659455,58119449,58227508,58234168,58642016,58751753,58891913,59066933,59278555,59416373,59590793,59670475,59799833,59809924,60043349,60167606,60217049,60629439,60840713,60977484,61496213,61847660,61854328,61894162,61899955,62011673,62020815,62624966,62730293,63130075,63207413,63474399,63514671,63649049,63750773,64017028,64580486,65234453,65500140,65513439,65798006,65829112,65918226,65972268,66041859,66070553,66113668,66144255,66155536,66170549,66337049,66637108,66934793,67166549,67683124,68155349,68204355,68222246,68354488,68705366,68712473,69191346,69428966,69435832,69586119,69689993,69787349,69866816,70014233,70208393,70553872,70872278,71134266,71604570,72071078,72102293,72611093,72751312,72896393,72991349,73048915,73266278,73327639,73716953,73999733,74057751,74093849,74217192,74219846,74279946,74407049,74424978,74454148,74833912,74875349,75031049,75713753,75756090,76378208,76630072,76638473,76898799,76989112,77342549,77434073,77472332,77555993,77866195,77890613,78115311,78254549,78345353,78588380,78600168,79099253,79373106,80361878,80413973,80676831,80716279,80806496,81242549,81298166,81531878,81845226,81916555,82035593,82211033,82370650,82594815,82706549,82804255,83494341,83777033,84188151,84293849,84436949,84514168,84683650,84722549,85489673,85503055,85925484,86208831,86359911,86612751,86643413,86696655,86760415,87395849,87557846,87658698,87663459,87811349,88101136,88353800,88361524,88425189,88499849,88589343,88636949,88745955,89006515,89893828,89942933,90347273,90534326,90535349,90856853,90907308,91070549,91416713,91654648,92476432,92578313,92812791,93061839,93097004,93135955,93439349,93439434,93620873,93905333,94008533,94163093,94306056,94309663,94394393,94451271,94522613,94662352,94982549,95078439,95287733,95291078,95319363,95439893,95516006,95919833,97010308,97193813,97564553,97859849,97878578,98299866,98414392,98520053,98714549,98844780,99113778,99365106,99398025,99538228,99540086,99751193,...,26012322756385523288067031875710677951429334014518595754265052670068021615386659979893171004562363267781736655123694130871890436675780448566043551067689678495635993915219762042561403383772994961057134167969863460959718708854400947922894986580796647136462346768713991644344167800225670389200694347554588372542897988939270013957134766869114785634834390441397304059597275298703780242830708073871389675788210364427038423698645112932941028071924237428439110787932745772710805753208029317788784516753605178335503684747931775241334294747039605685956557817483316925390815506691120594008717837149930811648051358153797050795116664378187065103522660956789561541561168122301070909607584559573834911880267652333118859664795376867218275175327040555511289642934425387205053634256442149402028641776468105242146377360089277343533895553218057185846780575719402254966320146857804742528558625815813867697757828801506597320763116868369380357251825167272607206346064046418590812055791870346558126453138356583763804766299218096590943166712903930463396693033984786294175712206381569117108740363093615426968415965029465354373205370618004073452226563861271439185344039202467746763779389501522401485245504076029509934218187393750161250808163138411604822112394185762924048332422440479473792452276253141709307452726692776932415354356584863021612984562274876047234686016171316600806498875801429476593253018758469282444972790475628229703240536593344782091062764473584170455003475503570787085175054561584984675076769157198848169468170472744732344600090284846440973584245725406460029533459049417961517082604419125861637637397932742839293312722054638856391622700799204838091196360054056907894520996998877900326106746240812185029798674236212117353500483503882110069556601464281261833734839697714909143393330292264742967961560464909202733790642446067406268729289305638312182670911706769943223603209963573763294272189246580162141546605281937979286369903796777037818931039642823547520189340028339302950875254727756554360508842163889045499400681529077412366550417985504135540610249014378938934322591723533942521020390061479853124938767908672263667134178914435233070848478065833299273612190142620566651434755889770954707936052209858657487844135766656015493569273598401436590594664479441559405603464716617124062567459852539088002868826075672550984326601909221357562341770758884770945129736604217179131993382247771515032395328841890321943523720038526299714974587259075082302542081885601713375086603516931327191284650858251296309557877571163507203381715623440604689747398428994638335601557338964141613696933520500597761185891192777349076049650936392684256331418335752203435990977114784593372220560159002477101726667352819799849992989162837121994052742921017592289801559491726015132746589042307340730528543764021633379978054622553018418134937052327348913128348589799595309960699297885027019654483249047454352460310046334097751180873506046596826685286743712419791424435288985397847933921896294355477910526211419484023664005136651540565655314521716914806697998527444450314327699568445230765724478950329358375681941552580699612952177472516322961215166761579425092170779243356726470092225200947061024233927718021819972648021746826427329416824832112886261811257852736479491324443016592715584715037799466286843150456525207875297331912513866966827371563829035027221657192238368810620188136910191895965103741498949223869640140148058187532470529961788257303915606539723923011652633376821105197966550364663012223791411126663197461832027886321662577729407968783221324073346089866602818548648830716609427888679458582587497248019788130791442232085713749060928012485770159242084979880247173794753874446333701673387618251963626733668325856490025439148679585844809}
23287  58503865235568878525320271172429688089592412853114987288822987445754646251596: {349185,372464,419022,1512485,1791713,1814982,2559590,3071508,3603905,4324686,4560724,4719953,5777049,6515320,6742790,6952049,7329735,7510073,7818384,8091348,8471285,8617217,8725875,8795682,9165185,9307600,10165542,10471050,10998222,11169120,11534873,11581617,11765006,11913728,12310310,12565260,12629285,12830153,13402944,13439078,13477457,13644417,14191697,14772372,15078312,15155142,15701817,16084385,16478390,16963101,16978937,17105033,17356577,17463905,17753817,18093833,18163569,18325097,18328790,18632009,19253510,19301262,19391529,19766177,19774068,20158193,20881073,20956686,21416369,21433809,21994548,22017749,22194137,22971988,23104212,23877417,24016718,24067733,24125633,24339905,24795110,25710785,26017289,26178710,26255009,26313249,26376497,26395685,26428217,27764405,27777233,28787477,28893494,29207886,29266433,29534873,29548929,29754132,29947288,30426149,30852942,31179905,31190537,31292753,31414452,31674822,31705910,31966617,32151833,32225297,32378438,32553809,33317286,33690699,33815513,34465190,34806689,35208053,35746577,35991977,36243086,36631217,37260806,37415886,37680710,37976817,38047092,38122529,38212277,38375769,38547593,38866793,38875672,39067814,39412529,39969417,40107975,40350017,40367289,40461953,40565417,40906889,41035493,41107768,41276420,41358228,41809190,42374297,42427313,42781840,42829046,42898649,43329713,43540084,43542489,43735131,43938417,44457473,44557910,44602817,45216852,45489317,45931190,46246239,46557254,46881137,47181797,47426932,47962289,48122405,48129570,48163553,49368977,49531704,49965737,50041862,50171028,50243889,50954897,51311764,51338208,51417110,51490406,51685577,51935572,52203009,52330310,52337573,52851878,53469492,54122537,54535118,54658553,55067990,55117428,55523990,55723167,55997558,56549009,56583542,56843585,57600473,57746886,57755484,57802790,57886094,57910229,59598417,59624129,59810177,60209993,60534710,60756353,61133464,61514405,61700532,61734638,61899590,62200120,62285654,62796372,62972942,63074289,63261809,63267734,63657398,63718310,63917753,64940043,65102006,65219055,65314324,65381817,65479673,66081588,66322673,66628788,66698126,66830932,67051313,67365473,67681569,67752760,68041142,68212302,68775147,69356789,69363348,69480485,69566992,69639113,69791189,69975135,70527110,70705684,70747169,71145857,71326022,71463905,71577209,72479924,72637689,72641652,72784385,72792710,72971777,73302520,73618948,73817286,73949897,74279508,74640144,74762405,74918309,75037913,76221855,76238486,76425249,76461972,76899797,77088494,77309575,77317910,77868662,78008486,78049193,78262866,78674609,79061609,79063689,79380134,79396193,79485977,79555478,79846118,80021285,80197817,80566617,80693078,80839252,80916878,81039569,81069929,81303312,81806726,81875175,82266017,82286390,82465335,82517799,82642085,82694420,82712633,82829558,83296385,83376582,83378033,83970162,83993429,84603905,84632532,84686228,85191473,85443110,85756686,85827254,86112593,86171817,86354753,86794790,87333520,87341262,87351252,87890968,87963024,88055812,88192340,89401238,89527697,89698613,89714886,90112454,90251409,90767873,90939140,91466226,91623137,92255128,92435513,92771490,92781492,92839409,92841243,93067685,93428309,93542390,93937449,94164494,94349813,94650833,94845688,94870262,95410553,95472760,95787590,96025542,96236390,96840415,96870729,97732889,98001926,98235475,98250210,98697009,98723729,98743668,98877339,98956256,98958402,99039928,99170502,99233304,99375833,99611153,99955662,...,34683097008514031050756042500947570601905778686024794339020070226757362153848879973190894672749817690375648873498258841162520582234373931421391401423586237994181325220293016056748537845030659948076178890626484614612958278472534597230526648774395529515283129024951988859125557066967560518934259130072784496723863985252360018609513022492153047513112520588529738746129700398271706990440944098495186234384280485902717898264860150577254704095898983237918814383910327696947741004277372423718379355671473571114004912997242366988445726329386140914608743756644422567187754008921494125344957116199907748864068477538396067726822219170916086804696881275719415388748224163068094546143446079431779882507023536444158479553060502489624366900436054074015052857245900516273404845675256199202704855701957473656195169813452369791378527404290742914462374100959203006621760195810406323371411501087751823597010438402008796427684155824492507143002433556363476275128085395224787749407722493795410835270851142111685073021732290795454590888950538573951195590711979715058900949608508758822811653817458153902624554620039287139164273827490672097936302085148361918913792052269956995685039186002029868646994005434706013245624249858333548334410884184548806429483192247683898731109896587305965056603035004188945743270302257035909887139142113150695483979416366501396312914688228422134408665167735239302124337358344625709926630387300837639604320715457793042788083685964778893940004634004761049446900072748779979566769025542931797559290893963659643126133453713128587964778994300541946706044612065890615356110139225501148850183197243657119057750296072851808522163601065606450788261813405409210526027995998503867101475661654416246706398232314949489804667311338509480092742135285708349111646452930286545524524440389686323957282080619878936978387523261423208358305719074184416243561215609026590964804279951431684392362918995440216188728807042583972381826538395702717091908052857098063360252453371119070601167006303675405814011789551852060665867575372103216488733890647338847387480332019171918579096788964711923361360520081973137499918357211563018222845571885913644094464637421111065698149586856827422201913007853027939610581402946478209983792181022208020658092364797868582120792885972588745874137952955489498750089946470052117337158434767563401312435469212295143416455694345179694593506315472289572175991176330362020043193771789187095924698293384701732953299449678766776403389442514135617833448804689241769588379534477668395079410503428218009604508954164587472919663197905326184447468743118618855484929244694000797014914521590369798768066201248523579008441891114336271247987969486379457829627413545336636135635556470426399799990652217116162658736990561356789719735412655634686843662118723076454307371391685362177839970739496737357890846582736436465217504464786399460413280932397180036026205977665396605803280413395112130334907831341395462435580382324949893055232580385313863797245229195059140637214034948559312031552006848868720754207086028955886408930664703259267085770266091260307687632638600439144500909255403440932817269569963355097281620222348772566789561038991142301960122966934596081365645236957362426630197362329101903105889099776150515015748343803648639321765924022123620779620050399288382457533942033610500396442550018489289103162085105380036295542922984491747493584182546922527953471655331932298492853520197410916709960706615717676405220808719631897348870177835761473597288733819550682965055214835550929949109370515095550103639210625044295098764461453155470424731531774288812570518239278110116662997359717507721922976114284998747904016647693545656113306506996231726338499261778268897850157669284835644891101141986700585531572781126412}
23288  58712583798099657407032903172274013979170260028135143325395209605487456665155: {325906,442111,465580,558696,628533,791146,860287,1416847,1833511,2419976,2722473,2740786,3631567,3839385,3851698,4095344,4129066,4498666,4607262,5237098,5280511,5700905,5766248,5882386,6237607,6374047,6487029,6841086,7702732,8144150,8412007,9188626,9772980,10114185,10286098,10424512,10468786,10560106,10742698,10788464,11634500,11727576,11836906,12137022,12383146,12439327,12971407,13019698,13193523,13473898,13554056,13961400,14032111,14381098,14664296,14892160,15248313,15442156,15706575,16010026,16497333,16663711,16753680,17055967,17363506,17647509,17708287,17870592,18192556,18465465,18713386,18847890,19696496,19790698,20104416,20158617,20206856,20299567,20557111,20935756,21849106,22158558,22224127,22479511,22617468,22732713,22741426,22919698,23186986,23671756,24218092,24717585,24765007,24876466,25017511,25735016,25851946,25855372,26203877,26206186,26365424,26648626,27277087,27493185,27526711,27532306,27942248,27973546,28398127,28522327,28578412,28714985,28880265,28951893,29118898,29142247,29294866,29326064,29661102,30437098,30805616,31236511,31435029,31603927,31836556,32092807,32451346,32458711,32991822,33309967,33498898,33673711,34016213,34457982,34656318,35084332,35242447,35969297,36025077,36679711,37192665,37434110,37666066,37869511,38270698,38461711,38698087,38943848,39268065,39305386,39398572,39672176,41110546,41137256,41882026,41885936,42233096,42622156,42788047,43223609,43340241,43811829,43847698,44423048,44631198,44920932,44954986,45085567,45125098,46229266,46279413,46789807,47121678,47512233,47558865,47692111,48029287,48513898,48567657,48594590,48682666,49036927,49887848,49927711,49975929,50030506,50635756,50729456,51038698,51167692,51384710,51458098,51595525,51697785,52681711,52713898,53009167,53292556,53477300,53491781,53549098,53823052,53966098,54364629,54425105,54636727,55048426,55144304,55175647,55390711,55463986,55891209,56123829,56459698,56521065,56708266,56781607,57070638,58056652,58313508,58371367,58584556,58601721,59283665,60289136,60871118,60881287,61192111,61661652,61914630,62037342,62222098,62385586,62713785,63202066,63960367,64061887,64139705,64172760,64243569,64568407,64667698,64830226,64919465,65274511,65310126,65317426,66042272,66836865,66894704,66974647,66991852,67341226,67744786,67825278,68450944,68752111,68896785,69437047,69604012,69729511,69835881,69917098,70409407,70878826,70989367,71140398,71292656,72157546,72194355,72332527,73147646,73273066,73352626,73489904,73750186,74297556,74306098,74789527,75062793,75256542,75721567,76416830,76679698,76837426,76904597,76967646,76995848,77007312,77125665,77235609,77472607,77750150,77903358,77929087,78020167,78495465,79277817,79464556,79978546,80184487,80204238,80447506,80452111,80723237,80837866,81539506,81642905,81802677,82267376,82601985,82676142,82989977,83285985,83538665,83728496,83996337,84099052,84101098,84690950,84875313,85259698,85799146,85922527,86586724,86620329,86633226,86645266,86659937,86680687,86704185,86829141,86958740,87175756,88108784,88382105,88838384,88943026,89165767,89573647,90086506,90222511,90242092,90390826,90599905,90618898,90802065,90949736,91267087,91426711,91628150,91700196,91984306,92023685,92220511,92457247,92484464,92550798,92601957,92849385,92850367,93007111,93300180,93428481,93631207,94194558,94404847,94459413,94901601,95300146,95375146,95486097,95525098,95577465,96682567,96850252,96855536,97055887,97204711,97653009,97971486,97990066,98165047,98287666,98423048,98659306,98822767,99039344,99122382,99520192,99623698,99845866,99943182,...,52024645512771046576134063751421355902858668029037191508530105340136043230773319959786342009124726535563473310247388261743780873351560897132087102135379356991271987830439524085122806767545989922114268335939726921919437417708801895845789973161593294272924693537427983288688335600451340778401388695109176745085795977878540027914269533738229571269668780882794608119194550597407560485661416147742779351576420728854076847397290225865882056143848474856878221575865491545421611506416058635577569033507210356671007369495863550482668589494079211371913115634966633850781631013382241188017435674299861623296102716307594101590233328756374130207045321913579123083122336244602141819215169119147669823760535304666237719329590753734436550350654081111022579285868850774410107268512884298804057283552936210484292754720178554687067791106436114371693561151438804509932640293715609485057117251631627735395515657603013194641526233736738760714503650334545214412692128092837181624111583740693116252906276713167527609532598436193181886333425807860926793386067969572588351424412763138234217480726187230853936831930058930708746410741236008146904453127722542878370688078404935493527558779003044802970491008152059019868436374787500322501616326276823209644224788371525848096664844880958947584904552506283418614905453385553864830708713169726043225969124549752094469372032342633201612997751602858953186506037516938564889945580951256459406481073186689564182125528947168340910006951007141574170350109123169969350153538314397696338936340945489464689200180569692881947168491450812920059066918098835923034165208838251723275274795865485678586625444109277712783245401598409676182392720108113815789041993997755800652213492481624370059597348472424234707000967007764220139113202928562523667469679395429818286786660584529485935923120929818405467581284892134812537458578611276624365341823413539886447206419927147526588544378493160324283093210563875958572739807593554075637862079285647095040378680056678605901750509455513108721017684327778090998801363058154824733100835971008271081220498028757877868645183447067885042040780122959706249877535817344527334268357828870466141696956131666598547224380285241133302869511779541909415872104419717314975688271533312030987138547196802873181189328958883118811206929433234248125134919705078176005737652151345101968653203818442715124683541517769541890259473208434358263986764495543030064790657683780643887047440077052599429949174518150164605084163771203426750173207033862654382569301716502592619115755142327014406763431246881209379494796857989276671203114677928283227393867041001195522371782385554698152099301872785368512662836671504406871981954229569186744441120318004954203453334705639599699985978325674243988105485842035184579603118983452030265493178084614681461057087528043266759956109245106036836269874104654697826256697179599190619921398595770054039308966498094908704920620092668195502361747012093193653370573487424839582848870577970795695867843792588710955821052422838968047328010273303081131310629043433829613395997054888900628655399136890461531448957900658716751363883105161399225904354945032645922430333523158850184341558486713452940184450401894122048467855436043639945296043493652854658833649664225772523622515705472958982648886033185431169430075598932573686300913050415750594663825027733933654743127658070054443314384476737621240376273820383791930207482997898447739280280296116375064941059923576514607831213079447846023305266753642210395933100729326024447582822253326394923664055772643325155458815937566442648146692179733205637097297661433218855777358917165174994496039576261582884464171427498121856024971540318484169959760494347589507748892667403346775236503927253467336651712980050878297359171689618}
23289  58922042105806402087552205886324274321920948844560913300708445234616119116982: {488859,581975,698370,744928,838044,1186719,2117479,3024970,3583426,3629964,4111179,5045467,5119180,5777547,6143016,6193599,6747999,6910893,7207810,7855647,8393611,8649372,8823579,9121448,9439906,9628415,10261629,11554098,11859799,12216225,12831259,13030640,13485580,13782939,13904098,14543125,14659470,15020146,15429147,15636768,15703179,15840159,16114047,16182696,16942570,17234434,17451750,17591364,17680999,17755359,18205533,18330370,18574719,18615200,18976459,19302695,19529547,20210847,20215039,20331084,20942100,21571647,21996444,22019647,22321147,22338240,22518139,22702031,22740695,23069746,23163234,23530012,23823319,23827456,24015039,24449467,24620620,25130520,25258570,25660306,26045259,26169695,26805888,26878156,26899231,26954914,27288834,28003607,28070079,28271835,28383394,29537419,29544744,29589695,29686047,30156624,30272615,30310284,31028647,31403634,32168770,32174239,32319215,32719679,32773659,32827639,32956780,33237837,33926202,33957874,34075867,34112139,34210066,34379547,34713154,34780479,34927810,35507634,35723015,35995099,36187666,36327138,36650194,36657580,36925519,36953959,37264018,37314699,38507020,38602524,38777919,38783058,38870167,39309279,39532354,39548136,39696911,39795695,39972939,40316386,41298459,41762146,41913372,41960319,42707839,42832738,42867618,42902347,43651867,43678347,43855415,43865527,43942299,43989096,44035498,44388274,44488439,44491653,44708327,45337819,45481931,45655647,45943976,46208424,47746151,47754834,48033436,48135466,48251266,48505787,48677019,48679810,49248215,49487733,49590220,50016527,50248347,51421570,51686973,51984477,52034578,52357420,52510018,52626498,52752994,52791370,52856434,53277695,55528810,55554466,55844059,56094191,56151165,56499099,56994299,57406047,57574954,57763799,57786988,58415772,58532866,58958079,59069746,59097858,59508264,59894576,60569531,60852298,61088971,61665819,61705884,62359810,62381074,62585506,62823039,62828904,63294695,63349644,63411820,63577547,63933234,63959615,64303666,64450594,64756876,65080367,65107618,65771547,66615695,66634572,66830647,66846625,66946797,67278815,67371367,67381398,67432479,67631026,67687647,67734679,67832711,67934159,68930380,69343899,69613378,70416106,70682517,71493154,71983954,72486172,72570815,72740047,72770847,72891885,73023999,73230695,73262434,74521612,74831772,74944007,75045759,75361420,75953634,76094184,76245058,76424554,76558047,76751538,77077065,77095186,77187147,77733586,77751344,78135628,78698299,78825058,79070847,79221959,79581019,79938834,80065007,80215950,80323647,80700034,80734578,80923906,80949147,81130834,81813778,82070986,82215536,82552840,82572639,82716456,83195979,83618380,83739815,84507191,84591247,84689547,84748594,84854626,85062399,85563680,85605957,85658092,85797298,86120167,86204407,86659426,87005015,87080168,87084978,87231451,87470262,87876834,88723259,88914946,89115820,89205634,90343259,90433704,90978634,91066747,91257479,91306677,91862380,92443531,92492478,92871945,93056013,93114508,93333147,93335719,93436447,93578379,93762274,94363594,94803099,94853864,95049179,95924578,96244810,96259140,96327106,97001547,97013051,97245339,97272679,97965189,97976139,98230607,98737954,99063408,99330695,99931474,...,78036968269156569864201095627132033854288002043555787262795158010204064846159979939679513013687089803345209965371082392615671310027341345698130653203069035486907981745659286127684210151318984883171402503909590382879156126563202843768684959742389941409387040306141974933032503400677011167602083042663765117628693966817810041871404300607344356904503171324191912178791825896111340728492124221614169027364631093281115271095935338798823084215772712285317332363798237318132417259624087953366353550260815535006511054243795325724002884241118817057869673452449950776172446520073361782026153511449792434944154074461391152385349993134561195310567982870368684624683504366903212728822753678721504735640802956999356578994386130601654825525981121666533868928803276161615160902769326448206085925329404315726439132080267832030601686659654171557540341727158206764898960440573414227585675877447441603093273486404519791962289350605108141071755475501817821619038192139255772436167375611039674379359415069751291414298897654289772829500138711791390190079101954358882527136619144707351326221089280846280905247895088396063119616111854012220356679691583814317556032117607403240291338168504567204455736512228088529802654562181250483752424489415234814466337182557288772144997267321438421377356828759425127922358180078330797246063069754589064838953686824628141704058048513949802419496627404288429779759056275407847334918371426884689109721609780034346273188293420752511365010426510712361255525163684754954025230307471596544508404511418234197033800270854539322920752737176219380088600377148253884551247813257377584912912193798228517879938166163916569174868102397614514273589080162170723683562990996633700978320238722436555089396022708636352060501450511646330208669804392843785501204519093144727430179990876794228903884681394727608201371927338202218806187867916914936548012735120309829670809629890721289882816567739740486424639815845813937859109711390331113456793118928470642560568020085017908852625764183269663081526526491667136498202044587232237099651253956512406621830747043136816802967775170601827563061170184439559374816303726016791001402536743305699212545434197499897820836570427861699954304267669312864123808156629575972463532407299968046480707820795204309771783993438324678216810394149851372187702379557617264008606478227017652952979805727664072687025312276654312835389209812651537395980146743314545097185986525670965830571160115578899144923761777225246907626245656805140125259810550793981573853952574753888928673632713490521610145146870321814069242195286983915006804672016892424841090800561501793283557673578332047228148952809178052768994255007256610307972931344353780116661680477007431305180002058459399549978967488511365982158228763052776869404678475178045398239767126922022191585631292064900139934163867659055254404811156982046739385045769398785929882097893655081058963449747142363057380930139002293253542620518139790480055860231137259374273305866956193543801765688883066433731578634258452070992015409954621696965943565150744420093995582333350942983098705335692297173436850988075127045824657742098838856532417548968883645500284738275276512337730070179410276675602841183072701783154065459917944065240479281988250474496338658785433773558209438473973329049778146754145113398398860529451369575623625891995737541600900482114691487105081664971576715106431860564410730575687895311224496847671608920420444174562597411589885364771911746819619171769034957900130463315593899651093989036671374233379989592385496083658964987733188223906349663972220038269599808455645946492149828283666038375747762491744059364392374326696257141247182784037457310477726254939640741521384261623339001105020162854755890880201004977569470076317446038757534427}
23290  59132242763313863935349780814811882833814029208473864419733336174559434524720: {256069,651812,884222,931160,1047555,1117392,1257066,1582292,1720574,2064889,2342089,2833694,3033829,3667022,3999241,4411909,4537455,4839952,5235301,5372281,5375139,5444946,5481572,5782789,6056101,6192649,6398975,7263134,7282441,7678770,7703396,7961221,7981267,8096761,8190688,8258132,8773381,8908489,8997332,9214524,9582949,9852229,10474196,10561022,10811715,10926469,11401810,11461861,11532496,11764772,11862649,12475214,12748094,12795301,12928249,12974058,13459321,13591909,13682172,14159859,14650021,14781961,15309001,15405464,16228549,16288300,16824014,16856975,17331147,18187129,18377252,18447049,19225081,19545960,19742329,20228370,20572196,20849024,20856147,20937572,21030409,21120212,21158821,21485396,21576928,21927781,21989205,22530219,22566601,22694149,22949029,23269000,23455152,23584969,23673812,24274044,24345721,24766292,24878654,25413855,25851651,25942814,26039396,26110729,26177625,26387046,26862841,26947796,26987941,27108112,27495555,27737029,27922800,28064222,28110601,28762196,29328592,29412515,29784320,29845369,30496626,30775775,30830329,30884312,31198501,31413150,31443589,31688389,32020052,32421061,32994666,33151141,33327422,33507360,33597695,33757561,34111934,34604619,34727012,34744851,34844581,35295018,35416574,35741184,36385112,36930930,37120249,37358281,37426772,37695780,37887855,38425861,38490459,39134341,39392992,39581396,40074949,40200979,40208832,40317234,40413712,40426489,40432371,40599134,40777381,40894201,40933251,41114222,41195975,41593609,41871512,42058441,42575091,43698212,43791301,43906249,44317116,44448254,44479909,44708869,44959022,45234936,45280009,45465426,45482852,45821975,45839396,46373972,47105451,47343512,47659141,47771641,47827307,48133775,48253155,48436184,48445129,49227589,49435170,49530014,49752932,50006521,50035022,50339269,50450041,50889303,50892409,50936811,51082447,51315099,51470032,51703892,51710744,52069731,52391715,52407754,52412372,52541029,52730848,52759621,53261451,53297252,53956729,54281499,54490707,54554174,54929701,54975291,54986370,55053422,55064612,55884496,55896027,55947092,56324809,56796254,57044654,57156824,57429970,57760530,57903786,58174587,58237796,58284494,58589732,58652128,58763269,59078521,59298531,59322204,60041795,60124681,60228901,60474579,60874196,61577209,61611232,61987775,62400889,62473022,62643219,62870058,63207854,63673112,63729541,64185614,64249107,64301427,64902692,64917422,65446775,65950309,65983644,66053247,66450169,66582411,66619934,66997796,67146949,67347422,68032426,68431609,68915964,69312636,69704101,69898789,70168664,70484894,70577929,70771321,71632251,71938594,72050154,72203199,72233735,72376899,72784549,73019715,73359422,74385330,74391049,74578681,74868220,75046501,75332132,75739022,75791269,75884041,76195147,76541396,76923422,76991689,77132355,77175289,77396174,77887696,78051867,78361669,78536130,78610772,78765027,78797144,78939747,79085701,79129491,79175881,79187055,79264775,79284651,79344352,80341669,80430841,80946095,80964361,81053029,81495289,82221092,82274512,82724041,82985509,82997131,83293215,83331699,83419849,83764052,83771872,83852389,84454921,84466192,84797641,85224421,85244312,85576094,86162975,86362431,86447218,86680482,86997241,87414661,87623658,87695396,87799299,88078789,88573861,88604619,88646787,88846096,89262396,89795587,89800201,89841864,89909972,89962489,90171134,90250196,90366949,90607715,90608761,90887251,91278447,91489861,91728649,91966789,92458532,92558826,92755909,93152015,93382021,93539715,93571611,93579614,93693349,93878259,94201775,94243356,94466629,95024466,95117730,95384222,95385061,95461129,95764681,95899851,95991589,96058574,96368329,96443461,96455499,96593509,96675891,97027796,97135314,97189180,97365332,97635781,97661427,97669535,97857289,97930981,98073854,99775696,99855422,99951858,...,104049291025542093152268127502842711805717336058074383017060210680272086461546639919572684018249453071126946620494776523487561746703121794264174204270758713982543975660879048170245613535091979844228536671879453843838874835417603791691579946323186588545849387074855966577376671200902681556802777390218353490171591955757080055828539067476459142539337561765589216238389101194815120971322832295485558703152841457708153694794580451731764112287696949713756443151730983090843223012832117271155138067014420713342014738991727100965337178988158422743826231269933267701563262026764482376034871348599723246592205432615188203180466657512748260414090643827158246166244672489204283638430338238295339647521070609332475438659181507468873100701308162222045158571737701548820214537025768597608114567105872420968585509440357109374135582212872228743387122302877609019865280587431218970114234503263255470791031315206026389283052467473477521429007300669090428825384256185674363248223167481386232505812553426335055219065196872386363772666851615721853586772135939145176702848825526276468434961452374461707873663860117861417492821482472016293808906255445085756741376156809870987055117558006089605940982016304118039736872749575000645003232652553646419288449576743051696193329689761917895169809105012566837229810906771107729661417426339452086451938249099504188938744064685266403225995503205717906373012075033877129779891161902512918812962146373379128364251057894336681820013902014283148340700218246339938700307076628795392677872681890978929378400361139385763894336982901625840118133836197671846068330417676503446550549591730971357173250888218555425566490803196819352364785440216227631578083987995511601304426984963248740119194696944848469414001934015528440278226405857125047334939358790859636573573321169058971871846241859636810935162569784269625074917157222553248730683646827079772894412839854295053177088756986320648566186421127751917145479615187108151275724158571294190080757360113357211803501018911026217442035368655556181997602726116309649466201671942016542162440996057515755737290366894135770084081560245919412499755071634689054668536715657740932283393912263333197094448760570482266605739023559083818831744208839434629951376543066624061974277094393605746362378657917766237622413858866468496250269839410156352011475304302690203937306407636885430249367083035539083780518946416868716527973528991086060129581315367561287774094880154105198859898349036300329210168327542406853500346414067725308765138603433005185238231510284654028813526862493762418758989593715978553342406229355856566454787734082002391044743564771109396304198603745570737025325673343008813743963908459138373488882240636009908406906669411279199399971956651348487976210971684070369159206237966904060530986356169229362922114175056086533519912218490212073672539748209309395652513394359198381239842797191540108078617932996189817409841240185336391004723494024186387306741146974849679165697741155941591391735687585177421911642104845677936094656020546606162262621258086867659226791994109777801257310798273780923062897915801317433502727766210322798451808709890065291844860667046317700368683116973426905880368900803788244096935710872087279890592086987305709317667299328451545047245031410945917965297772066370862338860151197865147372601826100831501189327650055467867309486255316140108886628768953475242480752547640767583860414965995796895478560560592232750129882119847153029215662426158895692046610533507284420791866201458652048895165644506652789847328111545286650310917631875132885296293384359466411274194595322866437711554717834330349988992079152523165768928342854996243712049943080636968339919520988695179015497785334806693550473007854506934673303425960101756594718343379236}
23291  59343188384357408280482775469990816398118676638205506947940930414801046822656: {23291,814765,977718,1163950,1326333,1396740,1489856,1676088,1885599,1977865,2373438,2580861,2815549,4234958,4250541,5500533,6049940,6851965,7166852,7259928,7417069,8167419,8222358,9091141,9629245,10090934,10238360,10322665,10894701,11246665,11518155,11555094,12286032,12387198,13092745,13479781,13495998,13541341,13821786,14415620,14705965,15711294,15841533,16787222,17102715,17298744,17647158,18126229,18242896,18558373,18712821,18879812,19122141,19256830,19461087,20161669,20360375,20523258,21178861,21903061,22971565,23108196,23719598,24432450,25236021,25662518,25715245,26061280,26171965,26400265,26829673,26856745,26971160,27023773,27274621,27565878,27808196,28006021,28792441,28796581,29086250,29318940,29592265,30040292,30342555,30858294,30957865,31273536,31298149,31406358,31494613,31680318,31836973,32228094,32365392,32549245,33684745,33885140,34468868,34876501,34903500,35182728,35361998,35510718,35672233,35752741,35952745,36411066,36569053,36637573,36660740,37149438,37230400,37317981,37880701,37911709,37952918,38605390,38914221,39014329,39059094,39580569,39700333,39788041,40025065,40421694,40430078,40662168,41042569,41425573,41448781,41884200,42096333,42134413,42140773,42381661,42434629,43143294,43408765,43992888,44039294,44642294,44676480,44712181,45036278,45246901,45404062,45481390,45497161,45744939,45990109,46139492,46326468,46783465,46889221,47060024,47119725,47646638,47654912,48030078,48898934,49013701,49091113,49241240,49476745,49491999,49722373,49991133,50012221,50261040,50407081,50517140,50524309,51038989,51167901,51242173,51320612,51539461,52090518,52339390,52942527,53124861,53611776,53751373,53756312,53798462,53816941,53909828,54577668,54622765,55396395,55713973,56007214,56140158,56543670,56558821,56766788,56853565,57299245,57325021,57563341,57967465,57995689,58059613,58830493,59074838,59089488,59110441,59179390,59372094,59809513,60313248,60475851,60545230,60574789,60620568,60898701,61076389,61397581,61671333,61699273,62057294,62191165,62807268,63583069,64337540,64348478,64629865,64638430,65439358,65515465,65547318,65655278,65913560,66475674,66588181,66621565,66672381,67438533,67852404,67915748,68089549,68151734,68198139,68224278,68420132,68759094,68830765,68947501,69175933,69426308,69560958,69855620,69933865,70090141,71015268,71446030,71582173,71990198,72375332,72510829,72654276,72797245,72885781,73237165,73300388,73315160,73851038,73907918,74152755,74295021,74528036,74588773,74629398,75052533,75137101,75728761,75926413,76092745,76913161,77014040,77205048,77328301,77555838,77566116,77579821,77740334,78611631,78618558,78837301,79064708,79096272,79393822,79591390,79945878,80071981,80285341,80632772,80665213,81128365,81831261,82479555,82580133,82596918,82726981,83524292,83747245,83760949,83826744,83920638,85049701,85194381,85415678,85566981,85665476,85735236,85804694,86144955,86640795,86855679,87177421,87303734,87356694,87426741,87710830,87731054,87874669,87884598,87978192,88070996,88612573,88629493,88776548,88976878,88983306,89416654,89543461,90515029,90675638,90963862,91265401,91311294,91887952,92416848,93261973,93585275,93709533,93987421,94165165,94190341,94305087,94622281,94811781,95474269,95492302,95509668,95676745,96066872,96111181,96270932,96278421,96502532,96966733,97011574,97354038,97359620,97376133,98263465,98496430,98975466,99180440,99745813,99929901,...,156073936538313139728402191254264067708576004087111574525590316020408129692319959879359026027374179606690419930742164785231342620054682691396261306406138070973815963491318572255368420302637969766342805007819180765758312253126405687537369919484779882818774080612283949866065006801354022335204166085327530235257387933635620083742808601214688713809006342648383824357583651792222681456984248443228338054729262186562230542191870677597646168431545424570634664727596474636264834519248175906732707100521631070013022108487590651448005768482237634115739346904899901552344893040146723564052307022899584869888308148922782304770699986269122390621135965740737369249367008733806425457645507357443009471281605913998713157988772261203309651051962243333067737857606552323230321805538652896412171850658808631452878264160535664061203373319308343115080683454316413529797920881146828455171351754894883206186546972809039583924578701210216282143510951003635643238076384278511544872334751222079348758718830139502582828597795308579545659000277423582780380158203908717765054273238289414702652442178561692561810495790176792126239232223708024440713359383167628635112064235214806480582676337009134408911473024456177059605309124362500967504848978830469628932674365114577544289994534642876842754713657518850255844716360156661594492126139509178129677907373649256283408116097027899604838993254808576859559518112550815694669836742853769378219443219560068692546376586841505022730020853021424722511050327369509908050460614943193089016809022836468394067600541709078645841505474352438760177200754296507769102495626514755169825824387596457035759876332327833138349736204795229028547178160324341447367125981993267401956640477444873110178792045417272704121002901023292660417339608785687571002409038186289454860359981753588457807769362789455216402743854676404437612375735833829873096025470240619659341619259781442579765633135479480972849279631691627875718219422780662226913586237856941285121136040170035817705251528366539326163053052983334272996404089174464474199302507913024813243661494086273633605935550341203655126122340368879118749632607452033582002805073486611398425090868394999795641673140855723399908608535338625728247616313259151944927064814599936092961415641590408619543567986876649356433620788299702744375404759115234528017212956454035305905959611455328145374050624553308625670778419625303074791960293486629090194371973051341931661142320231157798289847523554450493815252491313610280250519621101587963147707905149507777857347265426981043220290293740643628138484390573967830013609344033784849682181601123003586567115347156664094456297905618356105537988510014513220615945862688707560233323360954014862610360004116918799099957934977022731964316457526105553738809356950356090796479534253844044383171262584129800279868327735318110508809622313964093478770091538797571859764195787310162117926899494284726114761860278004586507085241036279580960111720462274518748546611733912387087603531377766132867463157268516904141984030819909243393931887130301488840187991164666701885966197410671384594346873701976150254091649315484197677713064835097937767291000569476550553024675460140358820553351205682366145403566308130919835888130480958563976500948992677317570867547116418876947946658099556293508290226796797721058902739151247251783991475083201800964229382974210163329943153430212863721128821461151375790622448993695343217840840888349125194823179770729543823493639238343538069915800260926631187799302187978073342748466759979184770992167317929975466376447812699327944440076539199616911291892984299656567332076751495524983488118728784748653392514282494365568074914620955452509879281483042768523246678002210040325709511781760402009955138940152634892077515068854}
23292  59554881591814672685746252119329348378553102135964682054717478832097407502787: {302627,512138,535187,953291,1303624,1466577,1745925,1768444,1862320,1926347,2065067,2095110,2234784,2388467,2514132,3164584,3441148,3448307,3560157,4129778,4458107,4684178,4870091,5281427,5372747,5509667,5667388,5783291,6056627,6067658,6238691,6352437,6466091,7334044,7562425,7600091,7998482,8007107,8823818,8958565,9074910,9628691,9679904,9853091,9897947,10032467,10470602,10744562,10750278,10889892,10963144,11565578,11596547,11908187,12112202,12308291,12333537,12385298,12797950,12973691,13460507,13637291,13902227,14519291,14526268,14564882,14783267,15136401,15222587,15357540,15406792,15922442,15962534,16193522,16229987,16381376,16516264,16753907,16928291,17146091,17332641,17546762,17816978,17994664,18019525,18188747,18232091,18429048,18491987,18580797,18838067,19165898,19269947,19704458,19787147,20243997,20389091,20732679,20948392,21122044,21623430,21852938,22483547,22568627,22696187,22738691,22803620,22923722,22993547,23064992,23529544,23566941,23599765,23629427,23725298,24474467,24950428,25180833,25496188,25590602,25736027,25856498,25948116,26113091,26470737,26531291,26781827,26918642,27115427,27183818,27364344,28154627,28319718,28361867,28610291,28885245,29300042,29563922,30259091,30618002,30628307,30784887,30810928,31242227,31323947,31691291,31732067,32098691,32457098,32464667,32545907,32576600,33648028,33713950,33760667,34284827,34662294,34760245,34887947,35088587,35579397,36374258,36567107,36648675,36754504,36894098,37163387,37361747,37550365,38450162,38468867,38493777,38705291,38902091,39091920,39484658,40117787,40456740,40664291,40898027,41144392,41177521,41348817,41636291,41698048,41712294,41875144,42060818,42062387,42178427,42240424,42317642,42356425,42970792,43086085,43153856,43629375,43855562,43978410,44140091,44484107,44751227,45056027,45060438,45133202,45322307,45388298,45512267,45825925,45898058,46287441,46459067,46538000,46910304,47036773,47109537,47169938,47347624,47520477,47701187,47776187,47926091,48342141,48449747,48487091,48548088,48691442,48897347,49532584,49603691,49757308,49937267,50011307,50827710,51703302,51885628,52034867,52078792,52221458,52355250,52363691,52691867,52764707,52774092,52873907,53042997,53266077,53454049,53725682,53895592,53975882,54216224,54616599,54991110,55473107,55474058,55580507,55724157,55845600,56116427,56128444,56221202,56330291,56472707,56523181,56929377,57524392,57674365,57908085,58277291,58453091,58588641,58657184,58825030,59189267,59568640,59690738,59817467,60338987,60632541,60645117,60993252,61273187,61551550,61660658,61768624,61927091,62397002,62748947,62826300,62887178,62919587,63146425,63376778,63668027,63769787,64040104,64142291,64150765,64345067,64648691,64714941,64783427,64842122,65488691,65956907,65989332,65990291,66058941,66190427,66290387,66302282,66456827,66490091,66654844,66689507,66963441,67014720,67186787,67195390,67387285,67515122,67554417,68106093,68222085,68223868,68438507,69125291,69209238,69255707,69454024,69489702,69689162,69743627,69808547,69905867,69938291,70590036,70617347,70778507,70833148,70958485,71389091,71469957,71482368,72045117,72633347,72770224,73013747,73108667,73348401,73456091,73861860,74116667,74240498,74398691,74429987,74716562,74853544,74867291,75054227,75391560,75458267,75775710,75799091,75922787,76851722,76980918,77213867,77458187,78135777,78268682,78278987,78369827,78509085,78785984,78853091,79124027,79162792,79484267,80149898,80350091,80401958,80417664,80421925,80468987,80634468,80697693,80795291,80827424,80852978,80864742,81091091,81198268,81415547,81554762,81788402,81866502,82228444,82391950,82732787,83187218,83457587,83743024,84010821,84058513,84116882,84210237,84815505,84835187,84894685,85150182,85261907,85432091,85525165,85856291,86278691,86782885,87319525,87396424,87582602,87812498,88088291,88610867,88612257,88634232,88747907,88769085,88896508,88959818,89058141,89185091,89417738,89918044,90469165,90469872,90560018,90806291,90817845,90930852,90965704,91499867,91625485,91643950,91678792,91765187,91976867,92240747,92530091,92747944,92792291,93085941,93160045,93703691,94210902,94477091,94502747,94687024,95090627,95318282,95395667,95543282,95654614,95775347,96267550,96379091,96506310,96522717,96872368,96890258,96957645,97127291,97868291,97892867,98159037,98236091,98320977,98455178,98482917,98626427,98830885,98870340,99060028,99352787,99505864,99713511,99904787,...,234110904807469709592603286881396101562864006130667361788385474030612194538479939819038539041061269410035629896113247177847013930082024037094391959609207106460723945236977858383052630453956954649514207511728771148637468379689608531306054879227169824228161120918425924799097510202031033502806249127991295352886081900453430125614212901822033070713509513972575736536375477688334022185476372664842507082093893279843345813287806016396469252647318136855951997091394711954397251778872263860099060650782446605019533162731385977172008652723356451173609020357349852328517339560220085346078460534349377304832462223384173457156049979403683585931703948611106053874050513100709638186468261036164514206922408870998069736983158391804964476577943364999601606786409828484845482708307979344618257775988212947179317396240803496091805059978962514672621025181474620294696881321720242682757027632342324809279820459213559375886868051815324423215266426505453464857114576417767317308502126833119023138078245209253874242896692962869318488500416135374170570237305863076647581409857434122053978663267842538842715743685265188189358848335562036661070039074751442952668096352822209720874014505513701613367209536684265589407963686543751451257273468245704443399011547671866316434991801964315264132070486278275383767074540234992391738189209263767194516861060473884425112174145541849407258489882212865289339277168826223542004755114280654067329164829340103038819564880262257534095031279532137083766575491054264862075690922414789633525213534254702591101400812563617968762258211528658140265801131444761653653743439772132754738736581394685553639814498491749707524604307192843542820767240486512171050688972989901102934960716167309665268188068125909056181504351534938990626009413178531356503613557279434182290539972630382686711654044184182824604115782014606656418563603750744809644038205360929489012428889672163869648449703219221459273919447537441813577329134170993340370379356785411927681704060255053726557877292549808989244579579475001409494606133761696711298953761869537219865492241129410450408903325511805482689183510553318678124448911178050373004207610229917097637636302592499693462509711283585099862912803007938592371424469888727917390597221899904139442123462385612929315351980314974034650431182449554116563107138672851792025819434681052958858939417182992218061075936829962938506167629437954612187940440229943635291557959577012897491713480346736697434771285331675740722878736970415420375779431652381944721561857724261666786020898140471564830435440610965442207726585860951745020414016050677274523272401684505379850673020734996141684446858427534158306982765021769830923918794033061340349985041431022293915540006175378198649936902465534097946474686289158330608214035425534136194719301380766066574756893876194700419802491602977165763214433470946140218155137308196357789646293680965243176890349241427089172142790417006879760627861554419371440167580693411778122819917600868580631405297066649199301194735902775356212976046229863865090897830695452233260281986747000052828949296116007076891520310552964225381137473973226296516569597252646906650936500854214825829537013190210538230830026808523549218105349462196379753832195721437845964751423489015976356301320674628315421919987149334440262435340195196581588354108726870877675987212624802701446344074461315244994914730145319295581693232191727063685933673490543014826761261332523687792234769656094315735240458857515307104873700391389946781698953281967110014122700139968777156488250976894963199564671719048991916660114808799425366937839476449484850998115127243287475232178093177122980088771423741548352112371931433178764818922224564152784870017003315060488564267672640603014932708410228952338116272603281}
23293  59767325017737334503068770440845330661946998738636674896410087882166843857077: {23293,46582,768207,1140671,1629530,1955436,2210555,2327900,2652666,2769011,2793480,2979712,3142665,3327467,3352176,3771198,3955730,4301435,4746876,5161722,5631098,6194667,7026267,7084235,7928591,8469916,8501082,8765627,9101487,9167555,9592751,10160687,11001066,11997723,12099880,13235727,13480943,13612365,13703930,14333704,14451731,14519856,14834138,15705903,15745331,16003403,16116843,16125417,16334838,16444716,17348367,18157835,18168303,18182282,18329843,18577947,18636827,19196925,19258490,20163407,20181868,20476720,20588351,20645330,20741711,21421907,21789402,21847323,22493330,22971503,23036310,23110188,23827427,23883663,23943801,24290283,24572064,24774396,24922571,25029563,26185490,26320143,26402555,26435051,26725467,26959562,26991996,27082682,27643572,27784427,28504525,28748847,28794923,28831240,29411930,29556687,31153571,31188035,31300847,31422588,31683066,31870235,32160191,32179787,32233643,32435145,32562227,32779407,33574444,34032323,34205430,34385583,34597488,35294316,35385647,35587947,35755823,36001343,36252458,36485792,36640751,36960371,37116746,37425642,37599443,37759624,38132387,38244282,38385903,38420591,38513660,38784747,38922174,38947763,40323338,40360451,40377963,40575923,40720750,40775727,40917467,41046107,41046516,41217683,41429171,42060035,42357722,42438287,42479577,42928451,43341011,43806122,43873091,43950063,44345883,44468987,44804747,45071771,45501083,45568943,45927003,45943130,46216392,46893263,47098511,47158643,47439196,48685647,48864900,48984923,50333843,50472042,50570925,50639051,51325036,51430490,51698963,51993441,52122560,52343930,52476707,52800530,52865963,53547791,53659346,53713490,53942320,54047546,54351947,54549242,54561387,54882623,55131756,55341147,55616392,56012042,56035091,56563727,57485531,57584882,57593162,57602927,57675243,57925283,58070507,58172500,58637880,59184530,59226987,59710547,60080584,60685110,60772271,60824747,61081691,61716588,61915730,62196635,62547072,62568441,62596298,62812716,62989226,63091227,63360636,63476463,63673946,63934307,64456188,64730784,64857035,65098490,65168771,65496851,65783343,65967615,66842243,67369490,67590657,67600703,67699803,67770280,68029403,68082447,68595791,68847087,68937736,68958011,69267443,69753002,69807000,70160555,70365456,70723996,70754907,71021436,71164283,71344466,71505482,71588387,71905490,72181187,72822132,73037163,73138106,73275146,73321480,73946687,73949807,74298876,74460800,74635962,75057347,75143627,75761402,75823418,75905836,76241565,76288931,76471871,77210780,77554953,77828442,78028658,78118188,78332187,78532875,78695123,79161138,79400666,79506563,79576082,79594991,80050130,80218943,80469467,80588523,80843388,80860156,80963823,81154451,81324336,82085138,82287323,82486665,82683023,82833803,82851146,82897562,83117651,83211087,83318555,83399627,83768400,84192666,84268826,84281546,84331803,84638027,84763322,84869258,85279835,86019071,86286588,86817530,87067631,87393923,87985776,88078588,88237545,88541435,89284588,89352960,89424362,89536107,89633123,90072556,90481811,90493802,90808124,90962780,90994322,91489878,91579151,91685243,91721651,91980218,92278984,92327325,92459567,92490987,92652936,93270191,93566930,93595503,93778442,93934991,94120048,94239450,94330767,94630523,95065167,95293276,95309824,96060156,96363071,96760883,97263183,97797868,97907411,98027402,98182226,98482480,98953490,98983998,99444746,99453423,99982266,...,312147873076626279456804382508528135417152008174223149051180632040816259384639919758718052054748359213380839861484329570462685240109365382792522612812276141947631926982637144510736840605275939532685610015638361531516624506252811375074739838969559765637548161224567899732130013602708044670408332170655060470514775867271240167485617202429377427618012685296767648715167303584445362913968496886456676109458524373124461084383741355195292336863090849141269329455192949272529669038496351813465414201043262140026044216975181302896011536964475268231478693809799803104689786080293447128104614045799169739776616297845564609541399972538244781242271931481474738498734017467612850915291014714886018942563211827997426315977544522406619302103924486666135475715213104646460643611077305792824343701317617262905756528321071328122406746638616686230161366908632827059595841762293656910342703509789766412373093945618079167849157402420432564287021902007271286476152768557023089744669502444158697517437660279005165657195590617159091318000554847165560760316407817435530108546476578829405304884357123385123620991580353584252478464447416048881426718766335257270224128470429612961165352674018268817822946048912354119210618248725001935009697957660939257865348730229155088579989069285753685509427315037700511689432720313323188984252279018356259355814747298512566816232194055799209677986509617153719119036225101631389339673485707538756438886439120137385092753173683010045460041706042849445022100654739019816100921229886386178033618045672936788135201083418157291683010948704877520354401508593015538204991253029510339651648775192914071519752664655666276699472409590458057094356320648682894734251963986534803913280954889746220357584090834545408242005802046585320834679217571375142004818076372578909720719963507176915615538725578910432805487709352808875224751471667659746192050940481239318683238519562885159531266270958961945698559263383255751436438845561324453827172475713882570242272080340071635410503056733078652326106105966668545992808178348928948398605015826049626487322988172547267211871100682407310252244680737758237499265214904067164005610146973222796850181736789999591283346281711446799817217070677251456495232626518303889854129629199872185922831283180817239087135973753298712867241576599405488750809518230469056034425912908070611811919222910656290748101249106617251341556839250606149583920586973258180388743946102683863322284640462315596579695047108900987630504982627220560501039242203175926295415810299015555714694530853962086440580587481287256276968781147935660027218688067569699364363202246007173134230694313328188912595811236712211075977020029026441231891725377415120466646721908029725220720008233837598199915869954045463928632915052211107477618713900712181592959068507688088766342525168259600559736655470636221017619244627928186957540183077595143719528391574620324235853798988569452229523720556009173014170482072559161920223440924549037497093223467824774175207062755532265734926314537033808283968061639818486787863774260602977680375982329333403771932394821342769188693747403952300508183298630968395355426129670195875534582001138953101106049350920280717641106702411364732290807132616261839671776260961917127953001897985354635141735094232837753895893316199112587016580453593595442117805478302494503567982950166403601928458765948420326659886306860425727442257642922302751581244897987390686435681681776698250389646359541459087646987278476687076139831600521853262375598604375956146685496933519958369541984334635859950932752895625398655888880153078399233822583785968599313134664153502991049966976237457569497306785028564988731136149829241910905019758562966085537046493356004420080651419023563520804019910277880305269784155030137708}
23294  59980521303382988089924314254597771598515342047959952255201816082499107320450: {69873,605254,999793,1024276,1070374,1556209,1906582,2250109,2444295,2607248,2909875,2933154,2942209,3491850,3494593,3536888,3724640,3770353,3852694,3978999,4130134,4190220,4469568,4776934,5028264,5144833,5555773,5656797,5933595,6329168,6375709,6512113,6882296,6896614,7120314,7600753,7742583,8259556,8446647,8549533,8916214,9368356,9740182,9898813,10562854,10587395,10745494,11019334,11107009,11334776,11566582,12113254,12135316,12477382,12541991,12704874,12751623,12932182,13107709,14564593,14668088,15124850,15200182,15223933,15996964,16014214,16406209,16501599,16929793,17647636,17917130,18149820,18233713,19142173,19257382,19359808,19706182,19795894,20064934,20555895,20941204,21489124,21500556,21779784,21926288,22102273,22251207,22740733,23131156,23193094,23816374,24224404,24502257,24616582,24667074,24770596,24898033,25227335,25595900,25906033,25947382,26533693,26921014,27159553,27273423,27274582,27804454,28405873,28530109,28654273,28887735,29038582,29052536,29129764,29566534,30272802,30445174,30715080,30813584,30967995,31122433,31734973,31844884,31925068,32387044,32459974,32684103,32762752,33032528,33039671,33507814,33561793,33739995,33856582,34046209,34292182,34554465,34665282,35093524,35131933,35633956,35989328,36039050,36377494,36464182,36570493,36858096,36983974,37161594,37676134,38235709,38331796,38539894,38708893,39278235,39408916,39574294,39886813,40439343,40487994,40624023,40778182,41465358,41896784,41968055,42244088,42800113,42915709,43246860,43705876,44117895,44182513,44967094,45098353,45137254,45212509,45392374,45477382,45607240,45847444,45987094,46129984,47059088,47133882,47199530,47258854,47450596,47524599,47930653,48142075,48155293,48491713,48664343,48948934,49162609,49900856,50361666,50828509,50992376,51181204,51308145,51472054,51712996,51896232,52226182,52368733,52570511,52915393,52941474,53062582,53563654,53837284,54230854,54367636,54378687,54728688,55299313,55675119,56138463,56157553,56309254,56639436,56723734,57220582,57366423,57770490,58282993,58383261,58600084,58915009,59127844,59298995,60066973,60320519,60379633,60485007,60518182,61081125,61236004,61256614,61569774,61621856,61933213,62484454,62647894,62959933,63172967,63382582,63464134,63536583,63979453,64081009,64156295,64197382,64914196,64929334,65091814,65153200,65495233,65709183,65996893,66496753,66800123,67296056,67427900,67521334,68182813,68569654,68914695,69324588,69520490,69555709,69775894,69945373,70177174,71011009,71107453,71158794,72354673,72450109,72715625,72748516,73134214,73297350,73509008,73788196,73967293,74326774,74437633,74723494,74812609,74906173,75100730,75279709,75708063,75745009,76900324,76937734,76987554,77145735,77410582,77496733,77588209,77804182,78044509,78183840,78515895,78861313,78969316,79200795,79492573,80235574,80489019,80570235,80744111,80833393,80913480,81071319,81328582,81796054,81823863,82288784,82355042,82697634,83272582,83396096,83424588,83750288,84018063,84121636,84124774,84356854,84480848,84635284,84673009,84712850,85941584,86034673,86172170,86307712,86377323,86389743,86792509,87258750,87711124,87956820,88280182,88404995,88776795,88784893,88949053,88968214,89502454,89602813,89811071,90112054,90120876,90266404,90644614,90776596,91024534,91027665,91297009,91376893,91651850,91796116,92487709,92574882,92873595,92918134,92959453,93076000,93662209,93820608,93894447,94050109,94073546,94219074,94339876,94342199,94483839,94513213,94695248,94882295,95040954,95126653,95402374,95510919,95552374,95659633,95852182,96513475,96684282,96789853,96899494,96974182,97013953,97096176,97162993,97382884,97647735,97794694,97903873,98564509,98856253,99065168,99207382,99341879,99514616,99874534,...,468221809614939419185206573762792203125728012261334723576770948061224389076959879638077078082122538820071259792226494355694027860164048074188783919218414212921447890473955716766105260907913909299028415023457542297274936759379217062612109758454339648456322241836851849598195020404062067005612498255982590705772163800906860251228425803644066141427019027945151473072750955376668044370952745329685014164187786559686691626575612032792938505294636273711903994182789423908794503557744527720198121301564893210039066325462771954344017305446712902347218040714699704657034679120440170692156921068698754609664924446768346914312099958807367171863407897222212107748101026201419276372936522072329028413844817741996139473966316783609928953155886729999203213572819656969690965416615958689236515551976425894358634792481606992183610119957925029345242050362949240589393762643440485365514055264684649618559640918427118751773736103630648846430532853010906929714229152835534634617004253666238046276156490418507748485793385925738636977000832270748341140474611726153295162819714868244107957326535685077685431487370530376378717696671124073322140078149502885905336192705644419441748029011027403226734419073368531178815927373087502902514546936491408886798023095343732632869983603928630528264140972556550767534149080469984783476378418527534389033722120947768850224348291083698814516979764425730578678554337652447084009510228561308134658329658680206077639129760524515068190062559064274167533150982108529724151381844829579267050427068509405182202801625127235937524516423057316280531602262889523307307486879544265509477473162789371107279628996983499415049208614385687085641534480973024342101377945979802205869921432334619330536376136251818112363008703069877981252018826357062713007227114558868364581079945260765373423308088368365649208231564029213312837127207501489619288076410721858978024857779344327739296899406438442918547838895074883627154658268341986680740758713570823855363408120510107453115754585099617978489159158950002818989212267523393422597907523739074439730984482258820900817806651023610965378367021106637356248897822356100746008415220459834195275272605184999386925019422567170199725825606015877184742848939777455834781194443799808278884246924771225858630703960629948069300862364899108233126214277345703584051638869362105917717878834365984436122151873659925877012335258875909224375880880459887270583115919154025794983426960693473394869542570663351481445757473940830840751558863304763889443123715448523333572041796280943129660870881221930884415453171721903490040828032101354549046544803369010759701346041469992283368893716855068316613965530043539661847837588066122680699970082862044587831080012350756397299873804931068195892949372578316661216428070851068272389438602761532133149513787752389400839604983205954331526428866941892280436310274616392715579292587361930486353780698482854178344285580834013759521255723108838742880335161386823556245639835201737161262810594133298398602389471805550712425952092459727730181795661390904466520563973494000105657898592232014153783040621105928450762274947946452593033139194505293813301873001708429651659074026380421076461660053617047098436210698924392759507664391442875691929502846978031952712602641349256630843839974298668880524870680390393163176708217453741755351974425249605402892688148922630489989829460290638591163386464383454127371867346981086029653522522665047375584469539312188631470480917715030614209747400782779893563397906563934220028245400279937554312976501953789926399129343438097983833320229617598850733875678952898969701996230254486574950464356186354245960177542847483096704224743862866357529637844449128305569740034006630120977128535345281206029865416820457904676232545206562}
23295  60194473099247132061810442543235266368082730641033465965984320777635034526077: {46586,93164,907881,1280345,1536414,1605561,2281342,2859873,3094777,3259060,3910872,3932461,4399731,4421110,4655800,5237775,5305332,5538022,5586960,5779041,5959424,6022009,6195201,6285330,6654934,6704352,7165401,7542396,7911460,8602870,9370153,9493752,9917929,10323444,10324445,10344921,10680471,11262196,11710445,12389334,12834577,13374321,14052534,14168470,14610273,15169145,15844281,15857182,16118241,16529001,16939832,17002164,17349873,17531254,18169881,18202974,18335110,18716073,19057311,19185502,19398273,19996205,20321374,21182513,22002132,22025341,22059545,22687275,22800273,23829481,23995446,24021321,24199760,25420969,26176505,26471454,26641369,26861405,26875695,26961886,27224730,27407860,28667408,28886073,28903462,28913945,29039712,29545057,29559273,29668276,29693841,30097401,30280505,30963245,31411806,31490662,31994875,32006806,32182561,32233686,32250834,32669676,32836141,32889432,34696734,34789641,34818697,35084957,35724561,36315670,36336606,36364564,36412205,36659686,36924873,36963577,37000611,37155894,37273654,37887233,38393850,38516980,38921073,39806105,39906335,40326814,40363736,40381521,40483805,40911873,40953440,41176702,41290660,41483422,41706681,41819401,42465929,42843814,42913441,43557873,43578804,43663249,43694646,43866905,43876873,44267801,44349801,44542445,44618329,44986660,45349561,45406153,45409203,45667761,45943006,46072620,46220376,47654854,47767326,47887602,47914745,47978857,48180169,48580566,48689961,49144128,49261145,49548792,49845142,50029529,50059126,50261721,50415773,50784873,51251009,51438273,51997923,52355629,52370980,52640286,52805110,52870102,53450934,53919124,53983992,54058575,54165364,54566241,54632345,54696273,55287144,55475961,55568854,55742391,56514201,57009050,57309305,57497694,57573329,57589846,57662480,57809841,58823860,58884049,59113374,59313245,59361441,60190241,60731991,61167273,62198037,62307142,62376070,62601694,62845176,63283753,63366132,63740470,63976505,64303097,64320382,64359574,64467286,64641245,64870290,65097329,65124454,65137901,65558814,66599753,66848041,67148888,67296605,67450641,67705881,67959545,68064646,68088561,68216073,68410860,68628781,68771166,68980641,69194976,69663169,70290257,70588632,70700823,70771294,70799295,70888281,71102273,71175894,71511646,71862377,72002686,72187453,72504916,72971584,73250105,73281502,73423401,73909805,73920742,74233492,74851284,74963489,75198886,75519248,75542499,76264774,76488564,76545005,76771806,76841182,77027320,77208081,77298269,77569494,77844348,77895526,78339273,78590633,78718681,79412211,79593873,80345481,80646676,80720902,80755926,81067753,81142745,81151846,81346281,81441500,81551454,81834934,82092214,82093032,82435366,82858342,84120070,84284875,84463881,84715444,84876574,84959154,85085601,85830873,85856902,86226733,86655735,86682022,87075289,87550529,87612244,87746182,87900126,88691766,88937974,89609494,90143542,90777273,90799849,90935645,91002166,91137886,91854006,91884921,91886260,91910921,92235245,92354661,92432784,93607457,93726681,93786526,93971841,94197022,94317286,94683529,94878392,95073873,95196201,96125405,96296073,96481913,96874097,97371294,97394001,97637721,97675561,97729800,97969846,98224777,98256209,98711645,99888557,...,702332714422409128777809860644188304688592018392002085365156422091836583615439819457115617123183808230106889688339741533541041790246072111283175878827621319382171835710933575149157891361870863948542622535186313445912405139068825593918164637681509472684483362755277774397292530606093100508418747383973886058658245701360290376842638705466099212140528541917727209609126433065002066556429117994527521246281679839530037439863418049189407757941954410567855991274184135863191755336616791580297181952347339815058599488194157931516025958170069353520827061072049556985552018680660256038235381603048131914497386670152520371468149938211050757795111845833318161622151539302128914559404783108493542620767226612994209210949475175414893429733830094998804820359229485454536448124923938033854773327964638841537952188722410488275415179936887544017863075544423860884090643965160728048271082897026974427839461377640678127660604155445973269645799279516360394571343729253301951925506380499357069414234735627761622728690078888607955465501248406122511710711917589229942744229572302366161935989803527616528147231055795564568076545006686109983210117224254328858004289058466629162622043516541104840101628610052796768223891059631254353771820404737113330197034643015598949304975405892945792396211458834826151301223620704977175214567627791301583550583181421653275336522436625548221775469646638595868017831506478670626014265342841962201987494488020309116458694640786772602285093838596411251299726473162794586227072767244368900575640602764107773304202437690853906286774634585974420797403394334284960961230319316398264216209744184056660919443495475249122573812921578530628462301721459536513152066918969703308804882148501928995804564204377727168544513054604816971878028239535594069510840671838302546871619917891148060134962132552548473812347346043819969255690811252234428932114616082788467037286669016491608945349109657664377821758342612325440731987402512980021111138070356235783045112180765161179673631877649426967733738738425004228483818401285090133896861285608611659596476723388231351226709976535416448067550531659956034373346733534151119012622830689751292912908907777499080387529133850755299588738409023815777114273409666183752171791665699712418326370387156838787946055940944922103951293547348662349689321416018555376077458304043158876576818251548976654183227810489888815518502888313863836563821320689830905874673878731038692475140441040210092304313855995027222168636210911246261127338294957145834164685573172785000358062694421414694491306321832896326623179757582855235061242048152031823569817205053516139552019062204988425053340575282602474920948295065309492771756382099184021049955124293066881746620018526134595949810707396602293839424058867474991824642106276602408584157904142298199724270681628584101259407474808931497289643300412838420654465411924589073368938881042895729530671047724281267516428371251020639281883584663258114320502742080235334368459752802605741894215891199947597903584207708326068638928138689591595272693492086356699780845960241000158486847888348021230674560931658892676143412421919678889549708791757940719952809502562644477488611039570631614692490080425570647654316048386589139261496587164313537894254270467047929068903962023884946265759961448003320787306020585589744765062326180612633027961637874408104339032223383945734984744190435957886745079696575181191057801020471629044480283783997571063376704308968282947205721376572545921314621101174169840345096859845901330042368100419906331469464752930684889598694015157146975749980344426398276100813518429348454552994345381729862425696534279531368940266314271224645056337115794299536294456766673692458354610051009945181465692803017921809044798125230686857014348817809843}
23296  60409183065095266958123615899952756545738341062270783018579747985077292671307: {69879,116455,139746,395743,1210508,1999586,2048552,2140748,2304621,2481223,3112418,3172783,3422013,3813164,4073825,4137943,4500218,4550503,4888590,5214496,5373679,5510623,5819750,5866308,5884418,5921023,6194263,6631665,6739879,6983700,6989186,7073776,7449280,7540706,7705388,7957998,8098879,8234383,8260268,8307033,8380440,8910823,8939136,9427995,9553868,9585463,9889325,9982401,10056528,10123879,10289666,10929343,11111546,11313594,11598583,11867190,12658336,12665623,12751418,12904305,12931663,13024226,13330183,13595503,13764592,13793228,13992943,14077745,14240628,14785879,14822353,14917783,15201506,15313063,15444679,15485166,16519112,16893294,17099066,17832428,18581863,18584001,18736712,19359679,19480364,19797626,19876783,20778943,21078801,21125708,21164503,21174790,21252705,21292879,21490988,22038668,22214018,22572679,22669552,22700263,23133164,23337103,23785773,24226508,24270632,24478879,24954764,25083982,25409748,25503246,25740679,25864364,26215418,26243383,26296881,26870143,26995279,27120343,27304461,27502665,27744583,28242679,28778253,28987663,29129186,29336176,29976943,30249700,30400364,30447866,30482061,31329679,31993928,32028428,32551879,32812418,33003198,33160279,33859586,33887983,34259825,34371679,34974679,35295272,35318269,35834260,35993169,36299640,36467426,36653503,36892183,37085345,37368679,38284346,38514764,38719616,39412364,39591788,39707181,40129868,40203463,40437823,40442829,40837095,40905679,41111790,41605303,41882408,42070279,42186343,42978248,43001112,43112263,43355193,43559568,43852576,43918663,44204546,44502414,45455705,45481466,45520879,46262312,46386188,46543423,47108983,47117709,47235993,47632748,47785279,48010209,48146225,48350529,48376251,48448808,48906679,49004514,49233164,49334148,49353223,49541192,49796066,50020879,50131903,50454670,50464543,50575279,51017503,51191800,51613325,51812066,51894764,52045101,52774879,52884103,53067386,53429143,53842028,54319106,54405679,54473505,54504909,54546846,54549164,54837823,54989529,55608908,55733841,55910481,56233325,56554879,56811746,57060218,57194023,57308546,57590775,57724663,57775470,58077164,58105072,58259528,58755277,59095903,59133068,59200879,59620063,59829223,60246679,60350863,60490221,60545604,60870703,60890348,61430160,61627168,61765053,61935990,62225133,62244866,62932063,63469946,63689768,63748543,63850136,64265721,64707533,64774088,64919948,65368206,65463725,65525504,65541969,65970103,66065056,66079342,66370279,66769303,66968383,67015628,67123586,67398905,67479990,67706705,67713164,67761823,68092418,68584364,68914509,69108930,69330564,69822679,70187048,70211623,70263866,71267912,71482281,71650989,71831403,71978656,72078100,72754988,72806863,72870849,72928364,73140986,73529825,73716192,73914929,73967948,74323188,74601679,74658961,74767713,75069679,75088689,75352268,75907543,76000279,76471418,76663592,77079788,77291023,77417786,78556470,78817832,78960429,79148588,79200679,79207665,79290823,79305153,79560823,79773626,80176401,80456143,80878686,80975988,81078583,81248046,81432679,81556364,82225183,82400503,82930716,83018593,83098903,83353281,83793568,83936110,83965423,84481879,84488176,84910279,85251703,85513575,85600226,85761679,85831418,86246541,86384769,86493720,87108943,87411752,87442879,88235790,88365026,88670061,88684879,89818813,89934188,90196706,90274508,90425018,90631145,90718879,90784748,90954764,91040143,91214480,91599583,91694888,91974188,91997023,92259968,92791865,93412903,93460713,93490879,93564105,93902541,94118176,94267764,94399060,94517708,94574983,94901192,95049198,95492983,95610705,95861306,96284150,96310586,96475783,96480573,96539361,96550879,96700929,96983426,97305435,97328686,97686681,97897868,97964023,98325218,98338221,99567823,99801712,99927463,...,936443619229878838370413147525584406251456024522669447153541896122448778153919759276154156164245077640142519584452988711388055720328096148377567838436828425842895780947911433532210521815827818598056830046915084594549873518758434125224219516908679296912644483673703699196390040808124134011224996511965181411544327601813720502456851607288132282854038055890302946145501910753336088741905490659370028328375573119373383253151224065585877010589272547423807988365578847817589007115489055440396242603129786420078132650925543908688034610893425804694436081429399409314069358240880341384313842137397509219329848893536693828624199917614734343726815794444424215496202052402838552745873044144658056827689635483992278947932633567219857906311773459998406427145639313939381930833231917378473031103952851788717269584963213984367220239915850058690484100725898481178787525286880970731028110529369299237119281836854237503547472207261297692861065706021813859428458305671069269234008507332476092552312980837015496971586771851477273954001664541496682280949223452306590325639429736488215914653071370155370862974741060752757435393342248146644280156299005771810672385411288838883496058022054806453468838146737062357631854746175005805029093872982817773596046190687465265739967207857261056528281945113101535068298160939969566952756837055068778067444241895537700448696582167397629033959528851461157357108675304894168019020457122616269316659317360412155278259521049030136380125118128548335066301964217059448302763689659158534100854137018810364405603250254471875049032846114632561063204525779046614614973759088531018954946325578742214559257993966998830098417228771374171283068961946048684202755891959604411739842864669238661072752272503636224726017406139755962504037652714125426014454229117736729162159890521530746846616176736731298416463128058426625674254415002979238576152821443717956049715558688655478593798812876885837095677790149767254309316536683973361481517427141647710726816241020214906231509170199235956978318317900005637978424535046786845195815047478148879461968964517641801635613302047221930756734042213274712497795644712201492016830440919668390550545210369998773850038845134340399451651212031754369485697879554911669562388887599616557768493849542451717261407921259896138601724729798216466252428554691407168103277738724211835435757668731968872244303747319851754024670517751818448751761760919774541166231838308051589966853921386946789739085141326702962891514947881661681503117726609527778886247430897046667144083592561886259321741762443861768830906343443806980081656064202709098093089606738021519402692082939984566737787433710136633227931060087079323695675176132245361399940165724089175662160024701512794599747609862136391785898745156633322432856141702136544778877205523064266299027575504778801679209966411908663052857733883784560872620549232785431158585174723860972707561396965708356688571161668027519042511446217677485760670322773647112491279670403474322525621188266596797204778943611101424851904184919455460363591322781808933041127946988000211315797184464028307566081242211856901524549895892905186066278389010587626603746003416859303318148052760842152923320107234094196872421397848785519015328782885751383859005693956063905425205282698513261687679948597337761049741360780786326353416434907483510703948850499210805785376297845260979979658920581277182326772928766908254743734693962172059307045045330094751168939078624377262940961835430061228419494801565559787126795813127868440056490800559875108625953003907579852798258686876195967666640459235197701467751357905797939403992460508973149900928712372708491920355085694966193408449487725732715059275688898256611139480068013260241954257070690562412059730833640915809352465090413124}
23297  60624653869995103700048055870839819373877716565853430604922613271834205312548: {23297,93172,186328,209619,1513135,1792483,1815762,2560690,2675935,2999379,3072828,3211122,4351303,4562684,4668627,4766455,5719746,6189554,6518120,6750327,7332885,7821744,7864922,8729625,8799462,8826627,8842220,9311600,9631735,10325335,10475550,10483779,10610664,11076044,11173920,11311059,11462743,11558082,11918848,11936997,11942335,12044018,12299779,12390402,12570660,13309868,13408704,14330802,14454223,15074323,15084792,15434499,15822920,16394623,16667319,16970391,17205740,17241535,17800785,18740306,18987504,19127127,19536339,19835858,20646888,20648890,20689842,20927527,21184339,21236803,21360942,22290535,22524392,22709863,22802259,23227749,23420890,24350455,24742663,24778668,25033879,25108387,25339941,25648599,25669154,26407135,26748642,26863735,27548335,27616903,27994687,28013263,28105068,28336940,28804039,28916455,29220546,29696439,30283135,30338290,30883363,31158943,31193455,31688562,31714364,31762185,32236482,32330455,32353123,32730967,33058002,33321027,33879664,34004328,34699746,35062508,36339762,36405948,36647107,36670220,37432146,37605967,37625973,37812125,37890499,38000455,38114622,38254869,38371004,38796546,38954479,39212599,39323127,39710599,39992410,40035535,40479523,40642748,42151687,42365026,42392707,43348543,43693779,44004264,44050682,44119090,44503807,44723743,44792825,45079543,45374550,45600546,45671799,47658962,47762623,47990892,48042642,48143455,48399520,49218627,49265455,49489735,49504797,50162335,50187007,50420119,50537443,50647783,50789379,50841938,50977087,51255427,52353010,52875079,52942908,53125999,53282738,53722810,53751390,53830879,53900047,53923772,54449460,54701139,54815720,55728547,55868869,56113543,56573539,56677327,57013987,57334816,57426519,57578323,57772146,57783727,57806924,57827890,57982735,58079424,58080583,58590823,59084839,59090114,59118546,59125807,59336552,59387682,59540935,60194802,60561010,60917503,61413667,61541455,61667685,61926490,62359423,62823612,62981324,63700183,63989750,64013612,64057207,64365122,64467372,64501668,64868455,65102983,65339352,65672282,65778864,66306819,66482863,66753621,67080643,67302535,67856143,68041207,68107303,68186455,68222199,68965603,69393468,69511135,69579282,69637394,69729859,70169914,71075623,71449122,71608339,72596455,72631340,72673212,72729128,72824410,73205599,73319372,73506771,73849746,73916335,73927154,74001222,74106439,74311788,74547308,74694099,75682005,75748447,75774466,76112935,76485283,76787700,76818403,76933207,77033960,77718099,77842146,78083023,78559699,78708799,78857719,79096039,79601079,79612210,79812670,80233027,80653628,80727472,80763042,80967610,81149935,81478659,81820269,81823746,81906880,82353404,82581320,82966844,83038543,83413362,83475487,83638802,83769535,83782723,84029959,84536383,84641455,84931858,85217619,85590327,85687628,85730455,85826882,85962819,86392183,86545183,86663205,87115746,87157608,87199999,87326498,87389292,87409087,87733810,87753746,88055143,88535602,88699602,88961527,89084890,89236658,89567107,89973320,90097625,90374467,90497743,90699122,90812306,90818406,90943735,91160455,91335522,91886012,91899463,92103343,92145240,92440752,92459935,92879839,92903985,93367299,93615583,94190335,94215247,94390783,95143363,95204919,95309708,95499283,95534652,95775204,95829490,95957714,96349735,96360338,97046563,97161132,97379922,98052309,98264743,98288256,98522290,98935735,99097584,99119013,99690284,...,1404665428844818257555619721288376609377184036784004170730312844183673167230879638914231234246367616460213779376679483067082083580492144222566351757655242638764343671421867150298315782723741727897085245070372626891824810278137651187836329275363018945368966725510555548794585061212186201016837494767947772117316491402720580753685277410932198424281057083835454419218252866130004133112858235989055042492563359679060074879726836098378815515883908821135711982548368271726383510673233583160594363904694679630117198976388315863032051916340138707041654122144099113971104037361320512076470763206096263828994773340305040742936299876422101515590223691666636323244303078604257829118809566216987085241534453225988418421898950350829786859467660189997609640718458970909072896249847876067709546655929277683075904377444820976550830359873775088035726151088847721768181287930321456096542165794053948855678922755281356255321208310891946539291598559032720789142687458506603903851012760998714138828469471255523245457380157777215910931002496812245023421423835178459885488459144604732323871979607055233056294462111591129136153090013372219966420234448508657716008578116933258325244087033082209680203257220105593536447782119262508707543640809474226660394069286031197898609950811785891584792422917669652302602447241409954350429135255582603167101166362843306550673044873251096443550939293277191736035663012957341252028530685683924403974988976040618232917389281573545204570187677192822502599452946325589172454145534488737801151281205528215546608404875381707812573549269171948841594806788668569921922460638632796528432419488368113321838886990950498245147625843157061256924603442919073026304133837939406617609764297003857991609128408755454337089026109209633943756056479071188139021681343676605093743239835782296120269924265105096947624694692087639938511381622504468857864229232165576934074573338032983217890698219315328755643516685224650881463974805025960042222276140712471566090224361530322359347263755298853935467477476850008456967636802570180267793722571217223319192953446776462702453419953070832896135101063319912068746693467068302238025245661379502585825817815554998160775058267701510599177476818047631554228546819332367504343583331399424836652740774313677575892111881889844207902587094697324699378642832037110752154916608086317753153636503097953308366455620979777631037005776627727673127642641379661811749347757462077384950280882080420184608627711990054444337272421822492522254676589914291668329371146345570000716125388842829388982612643665792653246359515165710470122484096304063647139634410107032279104038124409976850106681150565204949841896590130618985543512764198368042099910248586133763493240037052269191899621414793204587678848117734949983649284212553204817168315808284596399448541363257168202518814949617862994579286600825676841308930823849178146737877762085791459061342095448562535032856742502041278563767169326516228641005484160470668736919505605211483788431782399895195807168415416652137277856277379183190545386984172713399561691920482000316973695776696042461349121863317785352286824843839357779099417583515881439905619005125288954977222079141263229384980160851141295308632096773178278522993174328627075788508540934095858137807924047769892531519922896006641574612041171179489530124652361225266055923275748816208678064446767891469969488380871915773490159393150362382115602040943258088960567567995142126753408617936565894411442753145091842629242202348339680690193719691802660084736200839812662938929505861369779197388030314293951499960688852796552201627036858696909105988690763459724851393068559062737880532628542449290112674231588599072588913533347384916709220102019890362931385606035843618089596250461373714028697635619686}
23298  60840888192348883220364250965549580353959298499893604773466733419890404231802: {116465,139758,163037,232910,279492,442301,674801,791486,1092797,1649117,2065601,2250497,2342897,2421016,2527601,2723643,3034877,3219101,3841035,3862877,3999172,4097104,4184177,4281496,4596701,4609242,4816683,4871357,4962446,5237117,5511101,5556737,5703355,5921537,6194801,6224836,6240317,6345566,6376817,6467777,6844026,7626328,7737857,8147650,8275886,8579619,9000436,9091697,9101006,9284331,9631217,9777180,10035101,10428992,10747358,11021246,11052775,11108957,11198237,11639500,11732616,11768836,11797383,11842046,11866817,12388526,12444797,12666737,12977117,13110017,13199193,13263330,13479758,13596701,13640897,13773437,13845055,13967400,13978372,14038301,14147552,14655197,14898560,14919101,14963057,15081412,15314417,15410776,15713325,15915996,16197758,16409117,16468766,16520536,16614066,16637335,16760880,17063537,17337123,17716157,17821646,17878272,17933297,18066027,18585603,18626801,18855990,19107736,19170926,19231937,19708843,19778650,19964802,20113056,20247758,20308637,20579332,20780801,21496203,21507175,21858686,22106237,22223092,22627188,22702301,22744817,23127101,23197166,23381597,23734380,23762801,24607601,25316672,25331246,25491197,25502836,25808610,25863326,26048452,26245757,26660366,27164477,27191006,27529184,27586456,27747101,27985886,28110459,28155490,28481256,28618097,28742237,29031617,29571758,29644706,29753787,29835566,29856257,30403012,30626126,30889358,30970332,30973335,31034763,31209917,31455101,31618397,31863101,32041413,32310977,32676701,32920157,33038224,33325277,33786588,33891101,34133117,34198132,34656497,35131335,35421175,35459057,35664856,36656897,36696701,36895601,37134017,37163726,37168002,37473424,37530737,38242817,38503731,38719358,38912957,38960728,39306077,39595252,39642955,39753566,40122963,40246301,40675697,40792637,41557886,41647997,42157602,42190301,42251416,42329006,42349580,42505410,42585758,42981976,43154801,43828135,43830819,44077336,44267357,44428036,44725757,45068801,45145358,45297137,45339104,45400526,45507435,45837775,46266328,46674206,47113457,47151101,47532843,47571546,47677277,47939777,47963755,48052157,48239297,48354723,48453016,48541264,48957758,49023101,49246397,49587003,49729217,49909528,50136701,50167964,50358557,50803435,50819496,50911937,51006492,51481358,51728728,51919483,52049619,52430836,52486766,52593762,52707101,52889201,52925597,53434301,53651837,53740286,53990558,54122177,54240686,54509643,54608922,54843137,54879101,55005330,55094717,55381757,55489166,55596701,56148219,56485358,56489201,56986817,57171933,57199601,57235037,57556506,57730301,57975326,58194819,58258372,58399937,58672352,58926557,59311601,59835101,59953886,59988615,60148337,60391517,60499400,60800728,60895732,60911297,60964122,61084157,61532657,61739201,62048477,62254301,62659358,62972417,63245057,63547539,63637987,63788801,63987856,63992177,64056856,64161437,64465601,65103758,65172797,65624836,66006396,66010097,66076023,66110237,66178635,66310301,66320558,67008257,67173917,67404715,67719172,67768637,67775966,68061825,68400819,68519650,68590337,68743358,69927101,69949358,70056797,70251101,70445117,70590544,70606577,70636538,71186177,71488443,71507057,71668520,71986338,72063963,72258655,72528497,72599280,72934852,72941117,73131101,73307006,73573277,73784366,74045297,74170690,74421617,74737358,74890397,75295217,75357377,75760637,75822557,75915377,75946301,76262907,76472539,76568692,77023601,77029528,77439232,77939201,78394301,78529515,78575837,78726655,78824728,79183576,79414362,79569137,79599101,79868417,79924107,80017015,80259736,80375357,80406926,80464577,80494301,80584215,80627085,80642801,80875646,80885658,81116657,81529601,81647297,81674190,81811358,82223580,82263101,82610803,83210606,83764816,84140558,84372686,85289201,85544477,85956496,85968497,86002224,86224526,86531057,86658219,86710386,86741835,87119136,87354007,87705152,87837326,88227101,88409092,88635171,88677819,89004828,89022977,89081523,89757917,90292203,90406301,90567677,90789175,90841515,90911410,90916337,90962932,91041758,91076801,91316957,91609601,91636157,91649215,92524624,92560577,92639357,92772376,92796701,92889735,92901437,93086846,93184135,93682877,93734717,93838301,94217966,94225601,94235418,94358467,94471986,94585457,94789387,95265496,95503601,95570558,95984625,96020418,96292450,96486557,96547683,96701058,96736637,96752502,96861377,96897616,97531517,97813358,97975037,98009028,98466328,98508423,98668296,98706446,98732801,98999837,99082384,99579101,99592132,99603137,...,2106998143267227386333429581932564914065776055176006256095469266275509750846319458371346851369551424690320669065019224600623125370738216333849527636482863958146515507132800725447473674085612591845627867605558940337737215417206476781754493913044528418053450088265833323191877591818279301525256242151921658175974737104080871130527916116398297636421585625753181628827379299195006199669287353983582563738845039518590112319590254147568223273825863231703567973822552407589575266009850374740891545857042019445175798464582473794548077874510208060562481183216148670956656056041980768114706144809144395743492160010457561114404449814633152273385335537499954484866454617906386743678214349325480627862301679838982627632848425526244680289201490284996414461077688456363609344374771814101564319983893916524613856566167231464826245539810662632053589226633271582652271931895482184144813248691080923283518384132922034382981812466337919808937397838549081183714031187759905855776519141498071208242704206883284868186070236665823866396503745218367535132135752767689828232688716907098485807969410582849584441693167386693704229635020058329949630351672762986574012867175399887487866130549623314520304885830158390304671673178893763061315461214211339990591103929046796847914926217678837377188634376504478453903670862114931525643702883373904750651749544264959826009567309876644665326408939915787604053494519436011878042796028525886605962483464060927349376083922360317806855281515789233753899179419488383758681218301733106701726921808292323319912607313072561718860323903757923262392210183002854882883690957949194792648629232552169982758330486425747367721438764735591885386905164378609539456200756909109926414646445505786987413692613133181505633539163814450915634084718606782208532522015514907640614859753673444180404886397657645421437042038131459907767072433756703286796343848248365401111860007049474826836047328972993133465275027836976322195962207538940063333414211068707349135336542295483539020895632948280903201216215275012685451455203855270401690583856825834978789430170164694053680129929606249344202651594979868103120040200602453357037868492069253878738726723332497241162587401552265898766215227071447331342820228998551256515374997099137254979111161470516363838167822834766311853880642045987049067964248055666128232374912129476629730454754646929962549683431469666446555508664941591509691463962069492717624021636193116077425421323120630276912941567985081666505908632733738783382014884871437502494056719518355001074188083264244083473918965498688979869539272748565705183726144456095470709451615160548418656057186614965275160021725847807424762844885195928478315269146297552063149865372879200645239860055578403787849432122189806881518272176602424975473926318829807225752473712426894599172812044885752303778222424426794491868929901238515261963396235773767220106816643128687188592013143172843802549285113753061917845650753989774342961508226240706003105379258407817225682647673599842793710752623124978205916784416068774785818080476259070099342537880723000475460543665044063692023682794976678028430237265759036668649126375273822159858428507687933432465833118711894844077470241276711942962948145159767417784489761492940613682762811401143787206711886071654838797279884344009962361918061756769234295186978541837899083884913623224313017096670151837204954232571307873660235239089725543573173403061414887133440851351992713190130112926904848841617164129717637763943863303522509521035290579537703990127104301259718994408394258792054668796082045471440927249941033279194828302440555288045363658983036145189587277089602838594106820798942813673935169011347382898608883370300021077375063830153029835544397078409053765427134394375692060571043046453429529}
23299  61057888719925807646377344019287406235350101339481105570539445677775231615717: {46594,186344,209637,349365,372656,419238,1187229,2118389,3026270,3584966,3631524,3746309,4863221,4998965,5121380,5142449,5351870,5998758,6145656,6422244,6673037,6913863,7443669,7781045,8702606,9125368,9337254,9463157,9518349,9532910,10266039,11250545,11439492,12221475,12253277,12379108,12413829,12811301,13036240,13484429,13500654,13651509,14455469,14549375,14665770,14711045,15585317,15643488,15729844,16121037,16531869,16719269,17459250,17472965,17598924,17653254,17684440,17763069,17815109,18582789,18623200,18851765,19263470,19894995,20168621,20219637,20650670,20951100,20967558,21221328,22152088,22347840,22622118,22925486,23116164,23389589,23837696,23873994,23884670,24088036,24138149,24296637,24599558,24703149,24780804,24921099,25036037,25141320,25724165,26619736,26732469,26817408,26838929,27778865,28283985,28661604,28756389,28802369,28908446,28964069,29241329,29521517,29667975,29947203,30148646,30169584,30371637,30868998,31161629,31206749,31308941,31645840,31878545,32560565,32788029,32789246,33334638,33940782,34041137,34090637,34411480,34483070,34795749,34824701,35601570,35765069,36581669,36969989,37480612,37609229,37975008,37996869,38003765,38235509,38254254,38567669,38712915,38794989,38957837,39072678,39671716,39947237,39990549,40483037,40786509,41056721,41293776,41297780,41379684,41855054,41978829,42148949,42233235,42368678,42396389,42449261,42473606,42721884,42747665,42939569,43670837,44357637,44467059,44581070,44753349,45048784,45083429,45262637,45419726,45512849,45604518,45939189,46334037,46455498,46841780,46905389,47110709,48188477,48700910,49108049,49485326,49494065,49557336,49739549,50067758,50216774,50652149,50679882,51056597,51297198,51338308,52364657,52814270,52879637,52936975,53200637,53497284,53727470,54686909,54896837,55096670,55233806,55535045,55745589,55752003,55989374,56026526,56049749,56210136,56673880,56789861,57608078,57832910,58015697,58079037,58079669,58085621,58441092,58850789,59377277,59392878,59630349,59726069,60241229,60566270,60676580,61766726,62317886,62336829,62386910,62633489,62709955,63236403,63377124,63428728,63493509,63524370,63758115,63878637,64472964,64660910,64706246,65185649,65461934,65483861,65538545,66116004,66642054,66807509,66859637,67400837,67718037,67759328,68008656,68047109,68100789,68613677,68640689,68971637,69199829,69285629,69399492,69827537,70011309,70114517,70125016,70227269,71357319,71593349,72535877,72679524,72811896,72822965,73294214,73340440,73436637,74864292,75211934,75251946,75624250,75780998,76000910,76119665,76229244,76308689,76509738,76742008,76939889,77222037,77593092,77908958,78254261,78425198,78646254,78730149,78890643,79421198,79437461,79984820,80071070,80490449,80610429,80959046,80985837,81175829,81285496,81361029,81913383,82031045,82507995,82704437,82755677,83233749,83357309,84303374,84628037,84648965,84660029,84728037,84730052,84785414,85235669,86041349,86158037,86334759,86697086,86962989,87269261,87387558,87416669,87580337,88008528,88101364,88238180,88258949,88660109,89007614,89447486,89585650,89656337,89745329,89930829,90159086,90749100,90815837,91168565,91201092,91343598,91446183,91602869,92532077,93241061,93477137,93989037,94223549,94398977,95317924,95461037,95525246,95710865,95981784,96085284,96286910,96596189,96799040,97000229,97315589,97655637,97692509,98237357,98437254,98530910,98979470,99009594,99427589,99480837,99780269,...,2809330857689636515111239442576753218754368073568008341460625688367346334461759277828462468492735232920427558753358966134164167160984288445132703515310485277528687342843734300596631565447483455794170490140745253783649620556275302375672658550726037890737933451021111097589170122424372402033674989535895544234632982805441161507370554821864396848562114167670908838436505732260008266225716471978110084985126719358120149759453672196757631031767817642271423965096736543452767021346467166321188727809389359260234397952776631726064103832680277414083308244288198227942208074722641024152941526412192527657989546680610081485872599752844203031180447383333272646488606157208515658237619132433974170483068906451976836843797900701659573718935320379995219281436917941818145792499695752135419093311858555366151808754889641953101660719747550176071452302177695443536362575860642912193084331588107897711357845510562712510642416621783893078583197118065441578285374917013207807702025521997428277656938942511046490914760315554431821862004993624490046842847670356919770976918289209464647743959214110466112588924223182258272306180026744439932840468897017315432017156233866516650488174066164419360406514440211187072895564238525017415087281618948453320788138572062395797219901623571783169584845835339304605204894482819908700858270511165206334202332725686613101346089746502192887101878586554383472071326025914682504057061371367848807949977952081236465834778563147090409140375354385645005198905892651178344908291068977475602302562411056431093216809750763415625147098538343897683189613577337139843844921277265593056864838976736226643677773981900996490295251686314122513849206885838146052608267675878813235219528594007715983218256817510908674178052218419267887512112958142376278043362687353210187486479671564592240539848530210193895249389384175279877022763245008937715728458464331153868149146676065966435781396438630657511287033370449301762927949610051920084444552281424943132180448723060644718694527510597707870934954953700016913935273605140360535587445142434446638385906893552925404906839906141665792270202126639824137493386934136604476050491322759005171651635631109996321550116535403021198354953636095263108457093638664735008687166662798849673305481548627355151784223763779688415805174189394649398757285664074221504309833216172635506307273006195906616732911241959555262074011553255455346255285282759323623498695514924154769900561764160840369217255423980108888674544843644985044509353179828583336658742292691140001432250777685658777965225287331585306492719030331420940244968192608127294279268820214064558208076248819953700213362301130409899683793180261237971087025528396736084199820497172267526986480074104538383799242829586409175357696235469899967298568425106409634336631616569192798897082726514336405037629899235725989158573201651353682617861647698356293475755524171582918122684190897125070065713485004082557127534338653032457282010968320941337473839011210422967576863564799790391614336830833304274555712554758366381090773968345426799123383840964000633947391553392084922698243726635570704573649687678715558198835167031762879811238010250577909954444158282526458769960321702282590617264193546356557045986348657254151577017081868191716275615848095539785063039845792013283149224082342358979060249304722450532111846551497632417356128893535782939938976761743831546980318786300724764231204081886516177921135135990284253506817235873131788822885506290183685258484404696679361380387439383605320169472401679625325877859011722739558394776060628587902999921377705593104403254073717393818211977381526919449702786137118125475761065257084898580225348463177198145177827066694769833418440204039780725862771212071687236179192500922747428057395271239372}
23300  61275658149894583418464135772960897704445321555186142571110692095509487927043: {69891,163051,232930,279516,326074,465820,558984,628857,721339,884602,1349602,1582972,1695571,2185594,2250691,2389291,2942971,3298234,3633451,4131202,4500994,4539405,4685794,4842032,5055202,5283259,5377449,5447286,5557219,6069754,6240859,6401725,6438202,6513811,7058851,7682070,7725754,7738531,7984697,7998344,8027805,8194208,8368354,8562992,8687059,8998137,9193402,9218484,9633366,9742714,9924892,10035979,10474234,11022202,11113474,11406710,11843074,11912371,12389602,12449672,12480634,12691132,12753634,12935554,13053909,13642099,13688052,14005881,14299365,14304139,14964379,15252656,15473885,15475714,16295300,16410571,16541611,16551772,16934299,17065051,17159238,17326339,18000872,18183394,18202012,18568662,19147291,19262434,19276819,19383077,19554360,19662305,20070202,20250981,20568139,20857984,21494716,21998655,22042492,22105550,22217914,22236091,22396474,22491619,22746859,23279000,23292269,23465232,23537672,23594766,23684092,23733634,24777052,24889594,25031059,25333474,25535491,25913059,25954234,26188875,26220034,26398386,26479881,26526660,26959516,27193402,27281794,27291931,27541699,27546874,27690110,27934800,27956744,28076602,28295104,28537891,28662091,28895205,29310394,29797120,29838202,29926114,30110045,30162824,30628834,30821552,30976005,31253659,31426650,31451337,31831992,31866019,32354611,32395516,32818234,32937532,33041072,33228132,33274670,33521760,33571051,33692299,33933177,34127074,34388229,34674246,35261971,35432314,35643292,35756544,35810991,35827005,35866594,36132054,36700099,36899337,37171206,37177171,37253602,37534219,37711980,38215472,38246371,38341852,38364811,38463874,38719699,39417686,39557300,39929604,40015411,40226112,40495516,40617274,41158664,41561602,42348931,42927811,42992406,43014350,43362669,43620091,43717372,44212474,44309779,44446184,44768131,45111139,45222969,45225331,45254376,45339451,45404602,45489634,45681379,46022659,46254202,46303497,46394332,46763194,46850765,47155579,47468760,47525602,47719339,47944339,48056731,49065019,49183869,49215202,49589645,49622659,50001957,50633344,50662492,50911173,50982394,51005672,51617220,51622225,51724605,51726652,52096904,52491514,52930699,53039851,53320732,53402355,53693251,54328954,54382012,54884419,55058368,55172912,55422979,55494202,55500137,55745251,55971772,56220918,56310980,56494699,56814811,56962512,57236194,57240619,57381381,57484474,58063234,58405651,58552225,58609017,59143516,59289412,59507574,59671132,59712514,60084691,60806024,61252252,61359389,61778716,61940664,61946670,62054611,62069526,62419834,62782581,62910202,63236794,63553017,63710409,63726202,64082826,64100131,64172885,64621954,64809259,65212891,65353402,65514859,65840314,66076448,66116851,66650554,66871605,67149257,67213771,67573176,67782202,68129589,68203411,68266234,68396264,68406777,68597251,69283699,69312994,69683247,69966619,70063891,70262670,70646011,70842350,70918114,71124809,71129131,71329712,72376819,72472291,73051365,73313794,73393402,73612339,73791202,73990051,74227989,74268034,74327452,74336004,74460571,74929291,74946848,75061474,75101637,75302971,75325161,75845725,75954139,76019823,76485634,76694011,76945797,77007462,77438716,77612371,77825914,77921456,77977699,78612154,78614251,79190504,79221405,79285910,79507132,79607419,80245926,80492602,80502739,80591205,80680939,81351394,81585274,82096171,82645005,82850709,83115772,83295994,83752819,83984061,84039789,84315204,84380602,84502832,84658012,84699160,84700051,84785731,85010820,85171516,85963952,86309602,86315659,86412117,86568379,86749365,86904331,87656270,87661638,88154672,88236619,88534714,88566811,88856072,89089317,89451514,89631979,90137602,90200491,90290716,90376637,90594274,90604411,90678208,90801052,90849405,91014870,91326931,91406851,91486699,91646179,91675550,92329721,92518171,92532656,92650089,92833099,93068539,93348412,93476829,93580365,93693211,93848659,94226914,94302202,94366601,95065686,95143092,95286555,95354554,95691571,95879554,95927510,96104314,96478594,96709446,96897139,96906032,96991365,97059369,97082528,97121131,97270099,97630949,97915516,98046202,98192901,98492794,98670931,99174006,99458434,99614419,99819056,99963081,99981025,...,4213996286534454772666859163865129828131552110352012512190938532551019501692638916742693702739102849380641338130038449201246250741476432667699055272965727916293031014265601450894947348171225183691255735211117880675474430834412953563508987826089056836106900176531666646383755183636558603050512484303843316351949474208161742261055832232796595272843171251506363257654758598390012399338574707967165127477690079037180224639180508295136446547651726463407135947645104815179150532019700749481783091714084038890351596929164947589096155749020416121124962366432297341913312112083961536229412289618288791486984320020915122228808899629266304546770671074999908969732909235812773487356428698650961255724603359677965255265696851052489360578402980569992828922155376912727218688749543628203128639967787833049227713132334462929652491079621325264107178453266543165304543863790964368289626497382161846567036768265844068765963624932675839617874795677098162367428062375519811711553038282996142416485408413766569736372140473331647732793007490436735070264271505535379656465377433814196971615938821165699168883386334773387408459270040116659899260703345525973148025734350799774975732261099246629040609771660316780609343346357787526122630922428422679981182207858093593695829852435357674754377268753008956907807341724229863051287405766747809501303499088529919652019134619753289330652817879831575208106989038872023756085592057051773211924966928121854698752167844720635613710563031578467507798358838976767517362436603466213403453843616584646639825214626145123437720647807515846524784420366005709765767381915898389585297258465104339965516660972851494735442877529471183770773810328757219078912401513818219852829292891011573974827385226266363011267078327628901831268169437213564417065044031029815281229719507346888360809772795315290842874084076262919815534144867513406573592687696496730802223720014098949653672094657945986266930550055673952644391924415077880126666828422137414698270673084590967078041791265896561806402432430550025370902910407710540803381167713651669957578860340329388107360259859212498688405303189959736206240080401204906714075736984138507757477453446664994482325174803104531797532430454142894662685640457997102513030749994198274509958222322941032727676335645669532623707761284091974098135928496111332256464749824258953259460909509293859925099366862939332893111017329883183019382927924138985435248043272386232154850842646241260553825883135970163333011817265467477566764029769742875004988113439036710002148376166528488166947837930997377959739078545497131410367452288912190941418903230321096837312114373229930550320043451695614849525689770391856956630538292595104126299730745758401290479720111156807575698864244379613763036544353204849950947852637659614451504947424853789198345624089771504607556444848853588983737859802477030523926792471547534440213633286257374377184026286345687605098570227506123835691301507979548685923016452481412006210758516815634451365295347199685587421505246249956411833568832137549571636160952518140198685075761446000950921087330088127384047365589953356056860474531518073337298252750547644319716857015375866864931666237423789688154940482553423885925896290319534835568979522985881227365525622802287574413423772143309677594559768688019924723836123513538468590373957083675798167769827246448626034193340303674409908465142615747320470478179451087146346806122829774266881702703985426380260225853809697683234328259435275527887726607045019042070581159075407980254208602519437988816788517584109337592164090942881854499882066558389656604881110576090727317966072290379174554179205677188213641597885627347870338022694765797217766740600042154750127660306059671088794156818107530854268788751384121142086092906859058}
23301  61494199188856076728040333718595642444181121571663740992560336789558191790670: {93188,349395,372688,419274,489111,582275,698730,745312,838476,1326903,1978715,2024403,2374458,2816759,3278391,4236778,4947351,5747443,6052540,6196803,6751491,6998551,7028691,7169932,7263048,7492618,7582803,8170929,9104631,9657303,9726442,9997930,10242760,10284898,10703740,10893463,11183731,11523105,11588631,11997516,12291312,12406115,12552531,12844488,13346074,13694839,13790103,13827726,14450049,14614071,14887338,15562090,15711351,15750763,15863915,16533303,16670211,17110065,17405212,17764611,18250736,18419011,18584403,18674508,18720951,18926314,19036698,19065820,19130451,19403331,20369125,20532078,20595463,20689715,22501090,22713779,22752515,22878984,23213571,23835643,24442950,24462151,24506554,24758216,24827658,25622602,25738857,25762979,26072480,26392471,26868395,26968858,27001308,27275091,27303018,27553115,27852993,28893651,28910938,29098750,29331540,29422090,29605115,30105303,30961591,30971315,31170634,31286976,31459688,31797763,32190883,32242074,32736611,33063738,33158325,33326871,33372119,33438538,33594711,33699395,34827703,34918500,34945930,35197848,35306508,35368880,35392149,35526138,35600451,35630218,36013831,37165578,37246400,37334391,37703530,38000211,38526940,38890411,38931351,39330051,39597579,39789990,40337242,40439274,40494395,40790103,40922691,41171915,41301340,41320311,41535165,41902200,41935116,42114903,42442656,43888219,43965591,43991651,44304176,44554115,44629963,44695680,44757303,44889171,45244236,45584791,45850972,45943251,46232328,46779178,47139975,47210371,47467883,47675392,47747988,47769340,47770859,47927315,47991283,48176072,48192631,48276298,48530999,48593274,49199116,49227351,49406298,49446625,49561608,49842198,49912005,50072074,50282640,50619395,51190611,51448330,52011369,52369171,52494811,53148471,53205271,53239472,53464938,53634816,53677858,53799891,54198081,54646715,55557730,55756809,55815923,55880403,56123219,56567970,57323208,57505363,57512778,57588311,57604738,57695811,57793691,57816892,57928138,57992915,58482658,59043034,59095091,59126529,59335950,59846731,59894406,60297292,60339168,60743274,60845731,60925911,61120663,61737996,62323258,62342403,62413498,62617882,63291680,63328115,63610679,63757090,64488609,64521525,64658315,65121130,65576058,65578492,65629163,66318711,66362839,66617111,66650915,66669276,67503179,67881564,67977515,68082274,68106903,68119139,68181274,68234451,68646643,68822960,68966140,69291691,69381303,69591498,69649402,69681211,69964715,70144791,70388725,71203140,71288403,71530138,72512003,73163338,73822803,73929395,73939978,73972231,74111765,74588915,74961224,75218458,75892043,75950016,75993738,76007530,76471018,76473591,76508508,76565315,77135338,77223395,77318363,77425830,77589978,77749063,77915674,78145356,78737271,79343432,79894474,79981098,80106851,80966074,81088891,81493431,81573018,82113442,82587552,82595560,82759368,82862611,83146363,83241303,83710108,83957658,84297898,84331377,84466470,84737356,84792778,84898522,84947212,85443768,85495330,85854291,85879138,86226711,87094851,87341674,87573431,87793937,88715274,88934118,88976963,89064371,89162140,89261361,89506698,89568771,90097568,90166858,90525274,90839452,91025698,91113991,91209036,91753963,91878378,92491639,92668074,92909315,92910996,92920005,93104289,93629751,93683560,93810778,94221418,94365303,94708051,94855191,95098583,95589303,95901419,96124239,96376954,96507191,96798395,96932931,97401820,97700983,97993379,98030103,98216098,98760471,98970652,98988130,99114672,99383915,99479098,99671479,99975831,...,6320994429801682159000288745797694742197328165528018768286407798826529252538958375114040554108654274070962007195057673801869376112214649001548582909448591874439546521398402176342421022256837775536883602816676821013211646251619430345263481739133585254160350264797499969575632775454837904575768726455764974527924211312242613391583748349194892909264756877259544886482137897585018599007862061950747691216535118555770336958770762442704669821477589695110703921467657222768725798029551124222674637571126058335527395393747421383644233623530624181687443549648446012869968168125942304344118434427433187230476480031372683343213349443899456820156006612499863454599363853719160231034643047976441883586905039516947882898545276578734040867604470854989243383233065369090828033124315442304692959951681749573841569698501694394478736619431987896160767679899814747956815795686446552434439746073242769850555152398766103148945437399013759426812193515647243551142093563279717567329557424494213624728112620649854604558210709997471599189511235655102605396407258303069484698066150721295457423908231748548753325079502160081112688905060174989848891055018288959722038601526199662463598391648869943560914657490475170914015019536681289183946383642634019971773311787140390543744778653036512131565903129513435361711012586344794576931108650121714251955248632794879478028701929629933995979226819747362812160483558308035634128388085577659817887450392182782048128251767080953420565844547367701261697538258465151276043654905199320105180765424876969959737821939217685156580971711273769787176630549008564648651072873847584377945887697656509948274991459277242103164316294206775656160715493135828618368602270727329779243939336517360962241077839399544516900617491443352746902254155820346625597566046544722921844579261020332541214659192972936264311126114394379723301217301270109860389031544745096203335580021148424480508141986918979400395825083510928966587886622616820190000242633206122047406009626886450617062686898844842709603648645825038056354365611565811205071751570477504936368290510494082161040389788818748032607954784939604309360120601807360071113605476207761636216180169997491723487762204656797696298645681214341994028460686995653769546124991297411764937333484411549091514503468504298935561641926137961147203892744166998384697124736388429889191364263940789887649050294408999339666525994824774529074391886208478152872064908579348232276263969361890830738824703955244999517725898201216350146044654614312507482170158555065003222564249792732250421756896496066939608617818245697115551178433368286412128354845481645255968171559844895825480065177543422274288534655587785434945807438892656189449596118637601935719580166735211363548296366569420644554816529807274926421778956489421677257421137280683797518436134657256911334667273280383475606789703715545785890188707321301660320449929386061565776039429518531407647855341259185753536952261969323028884524678722118009316137775223451677047943020799528381132257869374934617750353248206324357454241428777210298027613642169001426381630995132191076071048384930034085290711797277110005947379125821466479575285523063800297397499356135684532232410723830135828888844435479302253353469284478821841048288434203431361620135658214964516391839653032029887085754185270307702885560935625513697251654740869672939051290010455511614862697713923620980705717269176630719520209184244661400322554055978139570390338780714546524851492389152913291831589910567528563105871738613111970381312903779156983225182776376164006388246136414322781749823099837584484907321665864136090976949108435568761831268808515782320462396828441021805507034042148695826650110900063232125191490459089506633191235227161296281403183127076181713129139360288587}
23302  61713514552876081660056978204615700632103557341500745285423864451505770287128: {116485,139782,256201,326102,465860,535417,559032,628911,652148,931640,1048095,1117968,1257714,1442678,1769204,2343301,2620357,2699204,3165944,3391142,3561687,4371188,4501382,4778582,5512057,5885942,6059257,6355167,6468901,6596468,7266902,7565675,8236537,8262404,8962415,9001988,9078810,9183301,9371588,9684064,9857401,10110404,10126537,10260997,10566518,10754898,10894572,11114438,11200201,11238927,12139508,12481718,12802057,12803450,12876404,13027622,13379675,13466437,14117702,14589663,14921737,14996895,15364140,15427347,15448777,15451508,15477062,15969394,15996688,16055610,16388416,16736708,17125984,17153701,17374118,17996274,18386804,18436968,18456901,19266732,19485428,19849784,20019111,20071958,20398201,20741589,20948468,21298597,21663439,21756515,22044404,22226948,22331007,22706377,22813420,22961401,23343135,23686148,23824742,23832275,24612037,24779204,24899344,24961268,25382264,25507268,25871108,26107818,26376037,27002617,27127717,27284198,27376104,27527227,28011762,28374757,28389471,28555047,28598730,28608278,29928758,30108517,30505312,30798117,30847237,30947770,30951428,30971039,31460857,31705801,32316901,32590600,32682697,32821142,33083222,33103544,33751635,33868598,34130102,34318476,34652678,34743301,35104777,36001744,36366788,36404024,36664425,36759831,37137324,37241487,37379077,38294582,38433903,38524868,38553638,38766154,38920201,39108720,39324610,40140404,40453287,40501962,40683301,40954527,41136278,41715968,42154063,42198217,42989432,43366407,43648125,43997310,44084984,44133135,44160901,44211100,44435828,44472182,44734201,44792948,44983238,45493718,45533797,46558000,46584538,46669957,46755951,46930464,47075344,47189532,47235337,47368184,47467268,48158675,48363111,49032457,49554104,49595607,49779188,49812901,50062118,50146297,50157807,50589817,50666948,51070982,51626675,51826118,51908468,52377750,52418895,52440068,52571401,52790137,52796772,52899397,52959762,53053320,53289207,53445327,53919032,53988037,54204901,54386804,54563588,54583862,54961657,55083398,55093748,55380220,55748367,55869600,55913488,56153204,56555295,56571397,56590208,57075782,57313715,57324182,57741577,57790410,58481701,58620788,59218297,59323237,59594240,59676404,59684985,59711675,59852228,60220090,60325648,60368677,60505863,60658911,61257668,61498895,61613701,61643104,61952010,62335177,62507318,62853300,62902674,62950777,63663984,63732038,64709222,64791032,65185801,65591071,65636468,65875064,66082144,66390217,66456264,66490117,66549340,67043520,67142102,67384598,67485157,67866354,67881157,68254148,68472997,68669701,68776458,69348492,69425503,69941257,70168767,70523942,70814437,70864628,71286584,71513088,71621982,71654010,71733188,72264108,72271115,72414447,72829177,72889911,73400198,73493701,73798674,74109447,74342412,74354342,74507204,74624677,74763297,75068438,75108111,75371615,75372901,75423960,75838201,76023817,76116517,76430944,76492742,76683704,76729622,76927748,77172495,77223301,77406757,77439398,78592201,78835372,79114600,79315657,79859208,80030822,80197407,80452224,80516787,80659717,80991032,81234548,81281401,81546757,81587759,81973115,82317328,83038201,83123204,83336595,84078457,84697862,84851955,85789177,85855622,85984812,86028700,86207675,86269167,86407107,86725338,86892207,87240182,87434744,87723987,88424948,88564551,88619558,88795897,88892368,89003925,89536262,89841609,89842039,90021157,90222278,90445938,90450662,90508752,90587401,90678902,90809204,90979268,91114911,91150117,91362758,92045318,92185801,92508404,92606994,92788664,93484887,93521797,93526388,93620247,93701530,93755401,93926823,94311158,94913701,94937520,95051204,95438678,95635635,95888678,96113462,96432901,96583237,96658297,97681695,98130038,98144377,98364087,98367738,98430404,98803717,99179290,99245318,...,8427992573068909545333718327730259656263104220704025024381877065102039003385277833485387405478205698761282676260076898402492501482952865335398110545931455832586062028531202901789894696342450367382511470422235761350948861668825907127017975652178113672213800353063333292767510367273117206101024968607686632703898948416323484522111664465593190545686342503012726515309517196780024798677149415934330254955380158074360449278361016590272893095303452926814271895290209630358301064039401498963566183428168077780703193858329895178192311498040832242249924732864594683826624224167923072458824579236577582973968640041830244457617799258532609093541342149999817939465818471625546974712857397301922511449206719355930510531393702104978721156805961139985657844310753825454437377499087256406257279935575666098455426264668925859304982159242650528214356906533086330609087727581928736579252994764323693134073536531688137531927249865351679235749591354196324734856124751039623423106076565992284832970816827533139472744280946663295465586014980873470140528543011070759312930754867628393943231877642331398337766772669546774816918540080233319798521406691051946296051468701599549951464522198493258081219543320633561218686692715575052245261844856845359962364415716187187391659704870715349508754537506017913815614683448459726102574811533495619002606998177059839304038269239506578661305635759663150416213978077744047512171184114103546423849933856243709397504335689441271227421126063156935015596717677953535034724873206932426806907687233169293279650429252290246875441295615031693049568840732011419531534763831796779170594516930208679931033321945702989470885755058942367541547620657514438157824803027636439705658585782023147949654770452532726022534156655257803662536338874427128834130088062059630562459439014693776721619545590630581685748168152525839631068289735026813147185375392993461604447440028197899307344189315891972533861100111347905288783848830155760253333656844274829396541346169181934156083582531793123612804864861100050741805820815421081606762335427303339915157720680658776214720519718424997376810606379919472412480160802409813428151473968277015514954906893329988964650349606209063595064860908285789325371280915994205026061499988396549019916444645882065455352671291339065247415522568183948196271856992222664512929499648517906518921819018587719850198733725878665786222034659766366038765855848277970870496086544772464309701685292482521107651766271940326666023634530934955133528059539485750009976226878073420004296752333056976333895675861994755919478157090994262820734904577824381882837806460642193674624228746459861100640086903391229699051379540783713913261076585190208252599461491516802580959440222313615151397728488759227526073088706409699901895705275319228903009894849707578396691248179543009215112889697707177967475719604954061047853584943095068880427266572514748754368052572691375210197140455012247671382603015959097371846032904962824012421517033631268902730590694399371174843010492499912823667137664275099143272321905036280397370151522892001901842174660176254768094731179906712113720949063036146674596505501095288639433714030751733729863332474847579376309880965106847771851792580639069671137959045971762454731051245604575148826847544286619355189119537376039849447672247027076937180747914167351596335539654492897252068386680607348819816930285231494640940956358902174292693612245659548533763405407970852760520451707619395366468656518870551055775453214090038084141162318150815960508417205038875977633577035168218675184328181885763708999764133116779313209762221152181454635932144580758349108358411354376427283195771254695740676045389531594435533481200084309500255320612119342177588313636215061708537577502768242284172185813718116}
23303  61933606967518201426446704330450672037856224496165571510005681651708510527348: {186376,209673,489153,582325,698790,745376,815185,838548,978222,1164550,1397460,1490624,1676952,1886571,2164017,2211505,2653806,2770201,3328897,3374005,3957430,4048806,4748916,5086713,5463985,5633518,5887057,6556782,6724741,6752073,7167873,8245585,8473556,8828913,9894702,10328005,10486201,10900353,11252485,11494886,11714485,12105080,12393606,12638005,13502982,13618215,13997102,14057382,14339864,14526096,14985236,15165606,15174385,15508417,15849777,16095505,16132347,16341858,16671657,17368561,18209262,18722577,19205175,19314385,19314606,19452884,19541433,19995860,20485520,20569796,20920885,21176553,21189817,21407480,21786926,22209481,22367462,22715737,22983505,23046210,23177262,23215593,23296681,23954091,23995032,24083415,24356785,24582624,24812230,25105062,25688976,26061177,26185585,26273137,26692148,26843557,26994411,27389678,27555505,27580206,27655452,27783685,28313713,28516775,28900098,28965601,29228142,29607685,29774676,30107937,30447157,30974005,31124180,31201585,31422702,31501526,31658401,31727830,31853521,31884085,32338885,32739433,33066606,33340422,34220130,34810424,35097061,35529222,35737113,36501472,36587977,36838022,37168806,37349016,37441902,37615753,37852628,37900297,37931377,38073396,38131640,38238661,38260902,38574361,38689285,38806662,39161727,39439777,40738250,40926297,41064156,41190926,41379430,41447161,42017643,42156217,42898095,42912417,43359841,44283073,44515333,44893137,45002180,45427558,45458485,45505030,45757968,46421655,46427142,47179153,47671286,47774977,48156085,48885900,48924302,49013108,49039177,49116517,49231713,49516432,49624833,49655316,50000281,50175505,50433157,50802897,51065401,51195153,51245204,51268681,51477714,51525958,51979017,51990133,52144960,52784942,53571001,53736790,53937716,54002616,54550182,54606036,55106230,55263875,55544785,55705986,55991185,56128057,56692153,57028753,57354817,57441873,57640681,57787302,57798673,57821876,57830457,58025701,58095697,58149231,58197500,58663080,58844180,58860937,58986915,59100217,59210230,59334085,59665297,60210606,60211033,60606337,60752943,61704417,61923182,61942630,62223985,62341268,62375761,62573952,62919376,63333685,63595526,63616201,64325281,64381766,64484148,64885585,65160373,65473222,65550085,65995965,66127476,66316650,66622897,66653742,66708273,66744238,66877076,67098241,67189422,67398790,67474857,67873717,67983505,68058913,68204485,68240577,68625601,68867185,69225275,69404677,69655406,69837000,69839653,69876807,69891860,70191505,70395696,70613016,70737760,70784298,70796017,70867153,71052276,71127001,71200902,71260436,71887201,72027662,72923593,73022161,73275985,73350241,74331156,74492800,74595505,74668782,74815285,74970037,75093177,75176257,75407060,76000422,76505401,76572085,76606473,77053880,77739177,77780822,77862702,78103321,78566625,78660102,78729313,79195158,79269937,79439643,79579980,80504437,80674484,80878548,80988790,81125977,81190081,81580206,81845382,81875793,82045585,82343830,82602680,82625097,82640622,83070330,83186675,83601001,83804400,83870232,84229806,84558277,84885312,85317685,85613673,85986273,86414641,86665633,86685615,87431833,87776438,87920257,87931182,87983302,88078177,88580785,88608352,88659361,88984681,89108230,89259926,89391360,89514606,89666485,89760901,89778342,90330135,90397873,90488472,90521641,91169582,91312933,91686481,91701944,91886502,92464656,92928015,93134005,93311281,93558356,93760977,94279950,94354011,94420742,94671733,94935766,95168521,95350784,95495976,95538680,95541718,95598057,95854630,95982566,96159685,96161137,96352144,96385262,96552596,96907561,97061998,97063833,97071697,97186548,97800457,97950601,98398232,98454702,98544215,98812596,98893250,99123216,99444841,99684396,99824010,...,12641988859603364318000577491595389484394656331056037536572815597653058505077916750228081108217308548141924014390115347603738752224429298003097165818897183748879093042796804352684842044513675551073767205633353642026423292503238860690526963478267170508320700529594999939151265550909675809151537452911529949055848422624485226783167496698389785818529513754519089772964275795170037198015724123901495382433070237111540673917541524885409339642955179390221407842935314445537451596059102248445349275142252116671054790787494842767288467247061248363374887099296892025739936336251884608688236868854866374460952960062745366686426698887798913640312013224999726909198727707438320462069286095952883767173810079033895765797090553157468081735208941709978486766466130738181656066248630884609385919903363499147683139397003388788957473238863975792321535359799629495913631591372893104868879492146485539701110304797532206297890874798027518853624387031294487102284187126559435134659114848988427249456225241299709209116421419994943198379022471310205210792814516606138969396132301442590914847816463497097506650159004320162225377810120349979697782110036577919444077203052399324927196783297739887121829314980950341828030039073362578367892767285268039943546623574280781087489557306073024263131806259026870723422025172689589153862217300243428503910497265589758956057403859259867991958453639494725624320967116616071268256776171155319635774900784365564096256503534161906841131689094735402523395076516930302552087309810398640210361530849753939919475643878435370313161943422547539574353261098017129297302145747695168755891775395313019896549982918554484206328632588413551312321430986271657236737204541454659558487878673034721924482155678799089033801234982886705493804508311640693251195132093089445843689158522040665082429318385945872528622252228788759446602434602540219720778063089490192406671160042296848961016283973837958800791650167021857933175773245233640380000485266412244094812019253772901234125373797689685419207297291650076112708731223131622410143503140955009872736581020988164322080779577637496065215909569879208618720241203614720142227210952415523272432360339994983446975524409313595392597291362428683988056921373991307539092249982594823529874666968823098183029006937008597871123283852275922294407785488333996769394249472776859778382728527881579775298100588817998679333051989649549058148783772416956305744129817158696464552527938723781661477649407910489999035451796402432700292089309228625014964340317110130006445128499585464500843513792992133879217235636491394231102356866736572824256709690963290511936343119689791650960130355086844548577069311175570869891614877785312378899192237275203871439160333470422727096592733138841289109633059614549852843557912978843354514842274561367595036872269314513822669334546560766951213579407431091571780377414642603320640899858772123131552078859037062815295710682518371507073904523938646057769049357444236018632275550446903354095886041599056762264515738749869235500706496412648714908482857554420596055227284338002852763261990264382152142096769860068170581423594554220011894758251642932959150571046127600594794998712271369064464821447660271657777688870958604506706938568957643682096576868406862723240271316429929032783679306064059774171508370540615405771121871251027394503309481739345878102580020911023229725395427847241961411434538353261439040418368489322800645108111956279140780677561429093049702984778305826583663179821135057126211743477226223940762625807558313966450365552752328012776492272828645563499646199675168969814643331728272181953898216871137523662537617031564640924793656882043611014068084297391653300221800126464250382980918179013266382470454322592562806366254152363426258278720577174}
23304  62154479167876843078256663151788668849806526114830081177855502990788320421966: {163079,232970,256223,279564,302783,512402,652204,931720,1048185,1070834,1118064,1232303,1257822,1304296,1467333,1746825,1863280,2096190,2235936,2343503,2389703,2482079,2515428,2885356,3035663,3173879,3538408,3980709,4001663,4686602,5147063,5240714,5375543,5398408,5558183,5786303,5936145,6059783,6073209,6331888,6378479,6514943,6742223,6782284,7123374,7150823,7604063,8417879,8450277,8742376,8778743,9002764,9094079,9557164,9835173,9903143,10127423,10591945,11024114,11111879,11771884,11869943,12118514,12547381,12710334,12803183,12937802,13113479,13192936,13334879,13777079,13909583,14533804,14791103,14842053,14967023,15131350,15450143,15625583,16473074,16524808,16544543,17155223,17242329,17416463,17924830,18003976,18157620,18366602,18458543,18501863,18590409,18731545,18743176,19237079,19366583,19368128,19714802,20220808,20253074,20254473,20314079,20521994,20957879,20995653,21086073,21133036,21509796,21789144,22228876,22240079,22400402,22477854,22580783,22748409,22750943,22963463,23005943,24279016,24316105,24512787,24963436,24994825,25498103,25604114,25606900,25712245,25752808,25917743,26055244,26127263,26378423,26759350,26796383,26932874,27171863,27296879,27313893,28128479,28235404,28418783,28625903,28750079,28971909,29163479,29179326,29843474,29864423,29987879,29993790,30459121,30728280,30854694,30897554,30903016,30954124,31136663,31341143,31749503,31938788,31993376,32111220,32360543,32441879,32680389,32776832,33334463,33365185,33473416,33551193,33779303,34061879,34251968,34307402,34569315,34748236,34765893,35148143,35869079,35992548,36587423,36602137,36773608,36873936,36913802,37218345,37541183,37657593,37660079,38371943,38450879,38533464,38726903,38905225,38923823,38970856,39159863,39699568,40038222,40101143,40143916,40796402,40804079,40920983,41084517,41370309,41483178,41896936,42356879,42597194,43128479,43326878,43350147,43513030,43842213,44088808,44203343,44453896,44662014,44738423,44776583,45309983,45412754,45626840,45690023,45922802,46485503,46686270,47126879,47134053,47239823,47252289,47315785,47372296,47591745,47649484,47664550,47803463,47953463,48065879,48178223,49074383,49224074,49372079,49558408,49599909,49798688,49854743,49922536,50010633,50483879,50764528,51014536,51037079,51330195,51742216,52215636,52576463,52752074,52940903,53050079,53293833,54005234,54255434,54568396,54752208,54966983,55054454,55218479,55257033,55505423,55753209,55827623,56023524,56162853,56252725,56363183,56576903,56749514,56778942,57110094,57197460,57216556,57358079,57391353,58209993,58487423,59119079,59857516,60166079,60217034,60270383,60409343,61010624,61107375,61266385,61596234,61694474,61786389,61895540,61902856,61942078,62069145,62921714,62991143,63411602,64011263,64056505,64112879,64180583,64383503,64633802,65181200,65225903,65293079,65365394,65642284,66130079,66166444,66207088,66230183,66530063,66729623,67422145,67503270,67524983,67737196,67887983,68141337,68257545,68260204,68636952,68676623,68709383,69167183,69305356,69486602,69493223,69640713,69753479,69980783,70209554,71047079,71207879,71304263,71506929,71625023,72003488,72277345,72550703,72733576,72746875,72808048,72963479,73058543,73328850,73386453,73501223,73519662,73555225,74068079,74162303,74274648,74444543,74482974,74632343,74758154,74851079,75100583,75318479,75380663,75938879,76031663,76155263,76589164,76867806,77049736,77107276,77216571,77261903,77288937,77532308,77840402,77926585,78217440,78327863,78600383,78630623,78649220,79177413,80239201,80280808,80489879,80605185,80697863,80906574,81003924,81023903,81319463,81366602,81825273,81909054,82272556,82552079,82659345,83046983,83431936,83558979,83596345,84308126,84396434,84718079,84860879,85288079,85486823,85911383,85978864,86080703,86098453,86643023,86680953,86732814,87214501,87296250,87364825,87730343,87994620,88145303,88169968,88266270,88321802,88422200,88585943,88640879,88815345,88832903,88871656,88944364,89075545,89468402,89585896,89651423,89787143,89868479,89966476,90220103,90315909,90624143,90677879,90865703,90987436,91067594,91426823,91559903,92195903,92591063,92669879,92884773,92913945,93010583,93116000,93169076,93339914,93511902,93765743,93860928,94150688,94258825,94379064,94470674,94488479,94736368,94924223,94934536,95393289,95712863,95839343,96016079,96317350,96421897,96443663,96572649,96594023,96726222,96843983,97192583,97638479,98064914,98179943,98209833,98620079,99033383,99108208,99191214,99420263,99474975,99558376,99625802,99709079,99980613,...,18962983289405046477000866237393084226591984496584056304859223396479587757616875125342121662325962822212886021585173021405608128336643947004645748728345775623318639564195206529027263066770513326610650808450030463039634938754858291035790445217400755762481050794392499908726898326364513713727306179367294923583772633936727840174751245047584678727794270631778634659446413692755055797023586185852243073649605355667311010876312287328114009464432769085332111764402971668306177394088653372668023912713378175006582186181242264150932700870591872545062330648945338038609904504377826913032355303282299561691429440094118050029640048331698370460468019837499590363798091561157480693103929143929325650760715118550843648695635829736202122602813412564967730149699196107272484099372946326914078879855045248721524709095505083183436209858295963688482303039699444243870447387059339657303319238219728309551665457196298309446836312197041278280436580546941730653426280689839152701988672273482640874184337861949563813674632129992414797568533706965307816189221774909208454094198452163886372271724695245646259975238506480243338066715180524969546673165054866879166115804578598987390795174946609830682743972471425512742045058610043867551839150927902059915319935361421171631234335959109536394697709388540306085133037759034383730793325950365142755865745898384638434086105788889801987937680459242088436481450674924106902385164256732979453662351176548346144384755301242860261697533642103103785092614775395453828130964715597960315542296274630909879213465817653055469742915133821309361529891647025693945953218621542753133837663092969529844824974377831726309492948882620326968482146479407485855105806812181989337731818009552082886723233518198633550701852474330058240706762467461039876792698139634168765533737783060997623643977578918808792933378343183139169903651903810329581167094634235288610006740063445273441524425960756938201187475250532786899763659867850460570000727899618366142218028880659351851188060696534528128810945937475114169063096834697433615215254711432514809104871531482246483121169366456244097823864354818812928080361805422080213340816428623284908648540509992475170463286613970393088895937043643025982085382060986961308638374973892235294812000453234647274543510405512896806684925778413883441611678232500995154091374209165289667574092791822369662947150883226998018999577984474323587223175658625434458616194725738044696828791908085672492216474111865734998553177694603649050438133963842937522446510475665195009667692749378196751265270689488200818825853454737091346653535300104859236385064536444935767904514679534687476440195532630266822865603966763356304837422316677968568348788355912805807158740500205634090644889099708261933664449589421824779265336869468265031772263411842051392555308403971770734004001819841150426820369111146637357670566121963904980961349788158184697328118288555594222943566023777557260610856785907969086653574036166354027948413325670355031143829062398585143396773608124803853251059744618973072362724286331630894082840926507004279144892985396573228213145154790102255872135391831330017842137377464399438725856569191400892192498068407053596697232171490407486666533306437906760060407853436465523144865302610294084860406974644893549175518959096089661257262555810923108656682806876541091754964222609018817153870031366534844588093141770862942117151807529892158560627552733984200967662167934418711171016342143639574554477167458739875494769731702585689317615215839335911143938711337470949675548329128492019164738409242968345249469299512753454721964997592408272930847325306706285493806425547346961387190485323065416521102126446087479950332700189696375574471377268519899573705681483888844209549381228545139387418080865761}
23305  62376133898610326085525544085926430890433018497284624019456050765114328105163: {349455,372752,419346,768603,815255,978306,1141259,1164650,1397580,1490752,1606251,1630370,1677096,1886733,1956444,2329100,2794920,2981248,3096107,3144285,3353904,3606695,3773142,3934151,4328034,4423010,4723607,5307612,5540402,6657794,6748010,6957431,7029903,7515887,7649579,7861071,7914860,8097612,8477855,9497832,10173426,10685061,10927970,10997723,11253455,11267036,11543819,11774114,11946455,12392783,13113564,13449482,13504146,14335746,14459207,14624879,14714855,15753479,16400279,16491170,16536171,16577963,16947112,17118299,17657826,17693207,18167255,18177771,19065501,19406703,19789404,20656010,20972402,21244139,21800706,22504970,22533707,22697025,22989772,23428970,24086399,24210160,24709611,24751199,24787212,25042511,25276010,26037467,26416295,26845871,26887245,27005964,27040139,27236430,27549903,27786095,27994204,28114764,28679728,29052192,29289239,29572203,29970472,30331212,30348770,30379611,30782991,31016834,31050071,31169687,31204295,31699554,32008625,32176907,32191010,32264694,32364299,32569055,32683716,33343314,33600603,33716781,33841739,34099499,34737122,35235359,35294255,36418524,36591131,36659819,37445154,38406171,38410350,38440523,38577707,38628770,38629212,38692655,38897159,38905768,38967911,39082866,39226127,39923485,39991720,40139025,40399311,40971040,41139592,41450759,41473883,41841770,42159851,42353106,42379634,42737327,42814960,43363607,43435295,43573852,43682219,43768989,44418962,44637719,44734924,44765211,44827991,44990685,45095087,45274439,45431474,45967010,46092420,46282041,46346331,46354524,46431186,46593362,47908182,47990064,48166830,48713570,49120751,49165248,49624460,49752431,50179895,50210124,50665247,51069803,51377952,51461103,52122354,52371170,52503863,52546274,52893311,53144327,53384296,53687114,53988822,54164999,54779356,55111010,55160412,55310904,55370703,55567370,55882667,56593163,56627426,57033550,57515279,57800196,57931202,57955391,58030703,58094711,58456284,58866011,59215370,59549352,59561855,60057333,60215874,60856223,60894314,60938519,61113503,61194603,61736639,61948010,62224767,62248360,62403170,62845404,63003052,63311183,63316802,63455660,63641879,63707042,63722159,63768170,63895791,64677770,64990317,65269545,65478866,66133212,66505799,66680844,66993021,67418519,67781447,68119131,68210495,68440260,68658551,68884203,69217751,69620848,69845711,70029405,70132799,70194122,70245707,71058444,71474226,71496825,71520695,71625671,71633243,72554663,72790271,73002944,73175954,73230887,73676044,73836111,73988171,74337612,74698032,74821895,74883804,75182783,75231506,75705256,75800594,75862754,76146792,76263280,76477322,76521804,76844939,77148722,77369425,77378570,77613324,77762699,78323454,78387659,78736151,78879554,79128111,80333963,81007851,81102983,81383151,81476500,81852594,82052855,82128312,82381852,82581681,82708055,82758860,82894322,83067719,83608283,84035286,84059183,84312434,84671495,85124271,85168413,85325255,85665141,85796190,85824834,86575079,86631695,86719682,87113579,87291947,88566146,88667159,88683071,89030666,89768687,89786274,90004360,90325551,90839819,90855116,90916970,91010060,91515936,91770119,92135159,92394351,92541711,92843310,92854284,92913117,93400247,93983723,94044863,94358306,94382571,95117403,95176907,95342572,95486279,95549954,95736455,96312170,96384095,96414059,96915385,96950703,97025351,97717931,97771800,97848604,98026216,98048091,98078354,98233034,98268107,98311525,98463426,98801183,99032864,99249666,99310632,99453467,99806111,...,25283977719206728636001154983190778968789312662112075073145631195306117010155833500456162216434617096283848028780230695207477504448858596006194331637794367497758186085593608705369684089027351102147534411266707284052846585006477721381053926956534341016641401059189999878302531101819351618303074905823059898111696845248970453566334993396779571637059027509038179545928551590340074396031448247802990764866140474223081347835083049770818679285910358780442815685870628891074903192118204496890698550284504233342109581574989685534576934494122496726749774198593784051479872672503769217376473737709732748921905920125490733372853397775597827280624026449999453818397455414876640924138572191905767534347620158067791531594181106314936163470417883419956973532932261476363312132497261769218771839806726998295366278794006777577914946477727951584643070719599258991827263182745786209737758984292971079402220609595064412595781749596055037707248774062588974204568374253118870269318229697976854498912450482599418418232842839989886396758044942620410421585629033212277938792264602885181829695632926994195013300318008640324450755620240699959395564220073155838888154406104798649854393566595479774243658629961900683656060078146725156735785534570536079887093247148561562174979114612146048526263612518053741446844050345379178307724434600486857007820994531179517912114807718519735983916907278989451248641934233232142536513552342310639271549801568731128192513007068323813682263378189470805046790153033860605104174619620797280420723061699507879838951287756870740626323886845095079148706522196034258594604291495390337511783550790626039793099965837108968412657265176827102624642861972543314473474409082909319116975757346069443848964311357598178067602469965773410987609016623281386502390264186178891687378317044081330164858636771891745057244504457577518893204869205080439441556126178980384813342320084593697922032567947675917601583300334043715866351546490467280760000970532824488189624038507545802468250747595379370838414594583300152225417462446263244820287006281910019745473162041976328644161559155274992130431819139758417237440482407229440284454421904831046544864720679989966893951048818627190785194582724857367976113842747982615078184499965189647059749333937646196366058013874017195742246567704551844588815570976667993538788498945553719556765457055763159550596201177635997358666103979299098116297567544833912611488259634317392929105055877447563322955298815820979998070903592804865400584178618457250029928680634220260012890256999170929001687027585984267758434471272982788462204713733473145648513419381926581023872686239379583301920260710173689097154138622351141739783229755570624757798384474550407742878320666940845454193185466277682578219266119229099705687115825957686709029684549122735190073744538629027645338669093121533902427158814862183143560754829285206641281799717544246263104157718074125630591421365036743014147809047877292115538098714888472037264551100893806708191772083198113524529031477499738471001412992825297429816965715108841192110454568676005705526523980528764304284193539720136341162847189108440023789516503285865918301142092255201189589997424542738128929642895320543315555377741917209013413877137915287364193153736813725446480542632859858065567358612128119548343016741081230811542243742502054789006618963478691756205160041822046459450790855694483922822869076706522878080836736978645601290216223912558281561355122858186099405969556611653167326359642270114252423486954452447881525251615116627932900731105504656025552984545657291126999292399350337939629286663456544363907796433742275047325075234063129281849587313764087222028136168594783306600443600252928500765961836358026532764940908645185125612732508304726852516557441154348}
23306  62598573913974105175287227120172329151085620799620288786386165057412452199560: {302809,326158,465940,512446,559128,605566,629019,860953,1024804,1304408,1467459,1746975,1834933,1863440,2096370,2141668,2236128,2251273,2389909,2445555,2464606,2515644,2528473,2608592,2911375,2934666,3220213,3493650,3726560,3772309,4192380,4471872,4687006,4779406,4964158,5030856,5659713,5770712,6071326,6347758,6379033,6492051,6634515,7076816,7196809,7961418,8003326,8310603,9373204,9893575,9986691,10122015,10294126,10481428,10751086,10796816,11116366,11380693,11572606,11872290,11915509,12119566,12146418,12663776,12756958,13029886,13484446,13564568,13778293,14083795,14246748,14301646,14828723,15208126,15260139,16391955,16546009,16677013,16835758,16900554,17069593,17484752,17557486,17661171,18005528,18188158,18503509,19114328,19152409,19281973,19670346,19806286,20174223,20254846,20256219,20959753,21183890,21503619,22048228,22223758,23008009,23543768,23739886,24237028,24736755,24785113,25094762,25420668,25542409,25606366,25875604,26224163,26226958,26385872,26486739,26669758,26798809,27554158,27819166,28172533,28669909,28737215,29067608,29582206,29684106,29934046,30262700,30900286,30984015,31251166,31458603,31629973,32485513,32701059,32946148,33049616,33089086,33701593,33757455,34042547,34065013,34306933,34310446,34484658,34832926,34992755,35143455,35849660,35872393,35997143,36007952,36315240,36590809,36733204,36917086,37003726,37180818,37463090,37486352,37663573,37914015,38257033,38375509,38474158,38493913,38733166,38736256,39429604,40144009,40441616,40506148,40508946,40628158,40854645,41043988,41915758,41991306,42172146,42266072,42360853,42476809,43019592,43171033,43257071,43578288,44457752,44480158,44780809,44800804,44955708,45161566,45238153,45352309,45496818,45501886,45523155,45926926,46011886,46525251,46711259,47169013,47549331,48070453,48182809,48286515,48397041,48558032,48632210,49025574,49190773,49748233,49926872,49989650,50014971,50996206,51208228,51213800,51424490,51505616,51835486,52105683,52110488,52254526,52756846,53055193,53518700,53592766,53865748,54343726,54467315,54593758,54627786,55761493,55868809,55918655,56167731,56256958,56470808,56837566,57251806,57363673,57500158,57615525,57943155,57943818,58326958,58358652,58624299,59474713,59686948,59728846,59975758,59987580,60102409,60918242,61246453,61456560,61556953,61709388,61795108,61806032,61908248,62030575,62273326,62682286,62762655,63499006,63529659,63569451,63712309,63877576,63986752,64222440,64626313,64721086,64883758,65333173,65360778,65553664,66236809,66242099,66628443,66668926,66730370,66736309,66946832,67102386,67558606,68123758,68147211,68474195,68503936,68614804,68716309,68950515,69138630,69496472,69531786,69646779,69793033,69890043,70085173,70296286,71054293,71738158,71862273,71985096,72250245,72494473,72685273,73070355,73174846,73204274,73547216,73747872,73827604,74436690,74483509,75082366,75315186,75320158,75326233,75512713,75977653,76743886,76901758,77066928,77453806,77810450,77847646,77941712,78093193,78183531,78319726,78556755,78638809,78729493,78753815,78819411,79319575,79399136,80076444,80202286,80287832,80528053,80530671,80983233,81592804,81608158,81681673,81841966,82122133,82169034,82666515,82740618,82966356,83351055,83793872,83865973,84713758,84812809,84898453,84941139,85194388,85325593,85550325,85772939,86256958,86653756,86700294,86896803,87026060,87684426,87767509,88177616,88406686,88595509,88677913,88823055,88907792,89006809,89324028,89476846,89553166,89679107,90310873,90323811,90619966,90825508,91253680,91341471,91380046,91436809,91516693,91845604,92095055,92548633,92922015,92942293,92971006,93372540,93604755,93879733,94253758,94267273,94268106,94391003,94479646,94504578,94631570,94744592,94975203,95183490,95298968,95329100,95560563,95606926,95652255,95906926,96026773,96131758,96356446,97016655,97228309,97674133,98148766,98218299,98448148,98631193,98744158,98777353,99116816,99199818,99431509,99597376,99709486,99720373,99845072,...,37925966578810092954001732474786168453183968993168112609718446792959175515233750250684243324651925644425772043170346042811216256673287894009291497456691551246637279128390413058054526133541026653221301616900060926079269877509716582071580890434801511524962101588784999817453796652729027427454612358734589847167545267873455680349502490095169357455588541263557269318892827385510111594047172371704486147299210711334622021752624574656228018928865538170664223528805943336612354788177306745336047825426756350013164372362484528301865401741183745090124661297890676077219809008755653826064710606564599123382858880188236100059280096663396740920936039674999180727596183122314961386207858287858651301521430237101687297391271659472404245205626825129935460299398392214544968198745892653828157759710090497443049418191010166366872419716591927376964606079398888487740894774118679314606638476439456619103330914392596618893672624394082556560873161093883461306852561379678305403977344546965281748368675723899127627349264259984829595137067413930615632378443549818416908188396904327772744543449390491292519950477012960486676133430361049939093346330109733758332231609157197974781590349893219661365487944942851025484090117220087735103678301855804119830639870722842343262468671918219072789395418777080612170266075518068767461586651900730285511731491796769276868172211577779603975875360918484176872962901349848213804770328513465958907324702353096692288769510602485720523395067284206207570185229550790907656261929431195920631084592549261819758426931635306110939485830267642618723059783294051387891906437243085506267675326185939059689649948755663452618985897765240653936964292958814971710211613624363978675463636019104165773446467036397267101403704948660116481413524934922079753585396279268337531067475566121995247287955157837617585866756686366278339807303807620659162334189268470577220013480126890546883048851921513876402374950501065573799527319735700921140001455799236732284436057761318703702376121393069056257621891874950228338126193669394867230430509422865029618209743062964492966242338732912488195647728709637625856160723610844160426681632857246569817297081019984950340926573227940786177791874087286051964170764121973922617276749947784470589624000906469294549087020811025793613369851556827766883223356465001990308182748418330579335148185583644739325894301766453996037999155968948647174446351317250868917232389451476089393657583816171344984432948223731469997106355389207298100876267927685875044893020951330390019335385498756393502530541378976401637651706909474182693307070600209718472770129072889871535809029359069374952880391065260533645731207933526712609674844633355937136697576711825611614317481000411268181289778199416523867328899178843649558530673738936530063544526823684102785110616807943541468008003639682300853640738222293274715341132243927809961922699576316369394656236577111188445887132047555114521221713571815938173307148072332708055896826651340710062287658124797170286793547216249607706502119489237946144725448572663261788165681853014008558289785970793146456426290309580204511744270783662660035684274754928798877451713138382801784384996136814107193394464342980814973333066612875813520120815706872931046289730605220588169720813949289787098351037918192179322514525111621846217313365613753082183509928445218037634307740062733069689176186283541725884234303615059784317121255105467968401935324335868837422342032684287279149108954334917479750989539463405171378635230431678671822287877422674941899351096658256984038329476818485936690498938599025506909443929995184816545861694650613412570987612851094693922774380970646130833042204252892174959900665400379392751148942754537039799147411362967777688419098762457090278774836161731522}
23307  62821801977854107819413163504216843033150743448675091457539840755246182234815: {489237,582425,698910,745504,768669,838692,908349,1141357,1281005,1537206,1630510,1956612,2282518,2329300,2677085,2795160,2981504,3144555,3212502,3260740,3354192,3696909,3773466,3912888,4353173,4401999,4658200,5049373,5240475,5589840,5962496,6192214,6288570,6707808,7030509,7169109,7213390,7446237,7546284,7868302,8400109,8656068,8846020,9106989,9447214,9521637,10615224,11080804,11716505,11868997,11942127,12004989,12997309,13101785,13315588,13496020,13914862,14059806,15031774,15299158,15441189,15722142,15754837,15829720,16126629,16195224,16345453,16674549,16725037,16955710,17358909,17808435,18179349,18219627,18995664,19135437,19544829,20226669,20230717,20346852,20600797,21370122,21452469,21855940,21995446,22506910,22534072,22812189,23087638,23548228,23892910,24785566,25253637,25350831,25434157,26227128,26336229,26898964,26920093,27008292,27282237,27293453,27560285,28671492,28918414,29249758,29251417,29429710,29505519,29709429,30296285,30382269,31506958,31775835,32344505,32800558,32982340,33072342,33155926,33335637,33894224,34236598,34836709,34900613,35103113,35315652,35386414,35609829,36334510,36355542,36954157,36982813,37642143,37828375,38131002,38248717,38409549,38813406,38900533,39340437,39578808,39815513,40004637,41182685,41312020,41331237,41728749,41944804,42488278,43601412,43686013,44290709,44373309,44526159,44812075,44901069,45009940,45067414,45394050,45429709,45517373,45596677,45916505,45979544,46350429,46857940,46876749,48172798,48205093,48420320,49014589,49287005,49411957,49419222,49502398,49574424,49633629,50055533,50085022,50552020,50632685,51304985,51465669,51575093,51726987,52074934,52249389,52382713,52508389,52832590,53691742,53774490,54011928,54080278,54169717,54472860,55099806,55375629,55505589,55572190,55771227,55892879,55988408,56001005,56194635,56229528,56809453,57359456,57520237,57711237,58099749,58104384,58578478,59110469,59144406,59850809,59940944,60616853,60662424,60697540,60759222,60763419,60809413,60861469,60942237,61565982,62033668,62100142,62339374,62408590,62655097,62873637,62986959,63258219,63399108,64010285,64017250,64336373,64353814,64382020,64529388,64728598,65131253,65138110,65171609,65367432,66686628,66720237,66830557,66882829,66898375,67201206,67332185,67433562,67683478,67742349,67987097,68136893,68198998,68245227,68252829,68890389,68999773,69017829,69474244,70251853,70470718,70588510,72225049,72837048,72948315,73182262,73319638,73538361,73991389,74138669,74608685,74890308,74984475,75002453,76494309,76812342,76820700,76881046,77136735,77155414,77243885,77257540,77258424,77381693,77385310,77753229,77794318,77811536,77935822,78165732,78281293,78381789,78452254,79135269,79846970,79983440,80278050,80389149,80720909,80798622,81515589,81890637,81941679,81942080,82279184,82884217,82901518,82947766,83167897,83386597,83683540,84319702,84385437,84657469,84706212,84759268,85256349,85474654,85629920,85768505,85877709,86250237,86727214,86870590,86915727,87147704,87364438,87490437,87537978,88289437,88792397,88837924,89000117,89087669,89275438,89469848,89530422,89593269,89655982,89963637,89981370,90190174,90548878,90578213,90862948,91328777,91377363,91934020,92184840,92284505,92564082,92692662,92709048,92862372,93186724,93409989,94023429,95248509,95494693,95816364,95980128,96333660,96629557,97081629,97325637,97427140,98019053,98041167,98241502,98307413,98330496,98809789,99248920,99504862,...,56888949868215139431002598712179252679775953489752168914577670189438763272850625376026364986977888466638658064755519064216824385009931841013937246185037326869955918692585619587081789200311539979831952425350091389118904816264574873107371335652202267287443152383177499726180694979093541141181918538101884770751317901810183520524253735142754036183382811895335903978339241078265167391070758557556729220948816067001933032628936861984342028393298307255996335293208915004918532182265960118004071738140134525019746558543726792452798102611775617635186991946836014115829713513133480739097065909846898685074288320282354150088920144995095111381404059512498771091394274683472442079311787431787976952282145355652530946086907489208606367808440237694903190449097588321817452298118838980742236639565135746164574127286515249550308629574887891065446909119098332731611342161178018971909957714659184928654996371588894928340508936591123834841309741640825191960278842069517458105966016820447922622553013585848691441023896389977244392705601120895923448567665324727625362282595356491659116815174085736938779925715519440730014200145541574908640019495164600637498347413735796962172385524839829492048231917414276538226135175830131602655517452783706179745959806084263514893703007877328609184093128165620918255399113277103151192379977851095428267597237695153915302258317366669405963813041377726265309444352024772320707155492770198938360987053529645038433154265903728580785092600926309311355277844326186361484392894146793880946626888823892729637640397452959166409228745401463928084589674941077081837859655864628259401512989278908589534474923133495178928478846647860980905446439438222457565317420436545968013195454028656248660169700554595900652105557422990174722120287402383119630378094418902506296601213349182992870931932736756426378800135029549417509710955711430988743501283902705865830020220190335820324573277882270814603562425751598360699290979603551381710002183698855098426654086641978055553564182089603584386432837812425342507189290504092300845645764134297544427314614594446739449363508099368732293471593064456438784241085416266240640022449285869854725945621529977425511389859841911179266687811130929077946256146182960883925915124921676705884436001359703941823630531216538690420054777335241650324835034697502985462274122627495869002722278375467108988841452649680994056998733953422970761669526975876303375848584177214134090486375724257017476649422335597204995659533083810947151314401891528812567339531426995585029003078248134590253795812068464602456477560364211274039960605900314577709155193609334807303713544038604062429320586597890800468596811900290068914512266950033905705046365067738417421476221500616902271934667299124785800993348768265474337796010608404795095316790235526154177665925211915312202012005459523451280461107333439912073011698365891714942884049364474554091984354865666782668830698071332671781832570357723907259960722108499062083845239977011065093431487187195755430190320824374411559753179233856919217088172858994892682248522779521012837434678956189719684639435464370306767616406175493990053526412132393198316177569707574202676577494205221160790091696514471222459999599919313720280181223560309396569434595907830882254581220923934680647526556877288268983771787667432769325970048420629623275264892667827056451461610094099604533764279425312588826351455422589676475681882658201952602902986503803256133513049026430918723663431502376219626484309195107757067952845647518007733431816134012412849026644987385476057494215227728905035748407898538260364165894992777224818792541975920118856481419276642040884161571455969196249563306379338262439850998100569089126723414131805559698721117044451666532628648143685635418162254242597283}
23308  63045820863800186765339652119029373356481701418630157877705775463571356258182: {256267,395947,605618,652316,675091,931880,1024892,1048365,1118256,1211132,1258038,1721906,2049608,2305809,2445765,2482507,2608816,2911625,2934918,3423777,3450691,3493950,3669866,3726880,4075925,4192740,4283336,4415347,4472256,4502546,4779818,4818753,4891110,4929212,5031288,5056946,5217184,5239387,5660199,5787307,5822750,5869332,6197491,6440426,6470587,6987300,7453120,7544618,7967467,8384760,8943744,9185707,9288321,9374012,9432855,9558812,9859987,9928316,10061712,10263691,10820085,11057525,11203147,11319426,11541424,11802453,11872027,12142652,12672307,12695516,12758066,12938491,12984102,13269030,13337227,13602691,13851005,14000347,14153632,14170821,14393618,15922836,16006652,16621206,16644485,16870025,17941267,18591787,18746408,18851491,19717313,19787150,19973382,20244030,20403667,20588252,20872293,20962856,21047347,21089709,21502172,21593632,22232732,22547661,22761386,22948737,22967587,23145212,23349691,23583213,23604067,23744580,23831018,24239132,24292836,25327552,25433565,25502707,25513916,26059772,26884747,26968892,27129136,27135091,27319925,27556586,28133587,28167590,28493496,28603292,29435285,29657446,30416252,30520278,31224187,32055183,32447827,32783910,32993169,33092018,33354026,33623705,33671516,33760365,33801108,34139186,34148827,34631457,34873507,34969504,35114972,35322342,35839365,36011056,36376316,36673867,36912691,37007018,37151227,37178349,38228656,38304818,38458027,38563946,39340692,39612572,40232101,40348446,40460491,40509692,40512438,40694707,40811707,41227925,41278987,41919506,42367780,43007238,43367491,43377621,43874637,44096456,44144565,44173387,44288227,44447516,45090091,46016018,46569907,47087536,47260437,47479772,47864333,48262267,48474056,48989857,49200837,49473510,49570226,49608513,49733889,50189524,50382667,50841336,51084818,51121993,51212732,51267691,51354897,51640025,51751208,52431005,52448326,52453916,52771744,52914691,52973478,53079621,53339516,53597618,53677747,54501765,54533313,55108316,55638332,56262425,56345066,57196503,57339818,57440107,57474430,58135216,58220109,58572425,59130667,59164412,59340691,59368212,59864491,59868092,60525400,61114267,61800572,61968030,62456491,62502332,62917206,63190025,63259946,63732417,64193347,64971026,65306107,65402118,65892296,66099232,66178172,66510091,66809467,67008691,67207627,67403186,67505491,67514910,67601121,68085094,68091075,68130026,68613866,68620892,68788747,68969316,69665852,69985510,70254307,70286910,70642387,71699320,71744786,71994286,72015904,72259197,72630480,73181618,73466408,73610947,73834172,74007452,74128833,74253597,74361636,74926180,74928907,74972704,75127533,75327146,75396187,75828030,75871925,75954547,76140091,76254241,76514066,76751018,76948316,76987826,77063491,77339107,77466332,77472512,77522491,77542085,77979691,78112401,78286117,78859208,79159987,79248885,80288018,80477525,80537613,80661735,80685091,80883232,81012296,81017892,81120417,81256316,81307027,81709290,82087976,82452691,82649709,83064547,83151667,83325691,83358285,83831516,83982612,84344292,84532144,84721706,84953618,86039184,86342066,86514142,86577427,86842805,87156576,87332347,87749227,87867717,88660027,88716609,88915504,88960316,89561618,89601608,89911416,90323132,90476306,90697627,90704618,90993636,91003772,91046310,91099747,91138833,91819027,91853852,92023772,92057491,92216107,92348973,93050502,93150213,93422518,93509061,93612885,94019491,94338026,94560787,94945267,95098662,95863873,96025875,96087907,96140906,96365618,96530721,96540427,96571925,96573030,96690691,96794082,96915547,97092897,97116064,97264420,97586227,97707165,97956307,98051148,98177491,98381546,99496466,99635491,99779707,99853744,99979300,...,75851933157620185908003464949572336906367937986336225219436893585918351030467500501368486649303851288851544086340692085622432513346575788018582994913383102493274558256780826116109052267082053306442603233800121852158539755019433164143161780869603023049924203177569999634907593305458054854909224717469179694335090535746911360699004980190338714911177082527114538637785654771020223188094344743408972294598421422669244043505249149312456037857731076341328447057611886673224709576354613490672095650853512700026328744724969056603730803482367490180249322595781352154439618017511307652129421213129198246765717760376472200118560193326793481841872079349998361455192366244629922772415716575717302603042860474203374594782543318944808490411253650259870920598796784429089936397491785307656315519420180994886098836382020332733744839433183854753929212158797776975481789548237358629213276952878913238206661828785193237787345248788165113121746322187766922613705122759356610807954689093930563496737351447798255254698528519969659190274134827861231264756887099636833816376793808655545489086898780982585039900954025920973352266860722099878186692660219467516664463218314395949563180699786439322730975889885702050968180234440175470207356603711608239661279741445684686524937343836438145578790837554161224340532151036137534923173303801460571023462983593538553736344423155559207951750721836968353745925802699696427609540657026931917814649404706193384577539021204971441046790134568412415140370459101581815312523858862391841262169185098523639516853863270612221878971660535285237446119566588102775783812874486171012535350652371878119379299897511326905237971795530481307873928585917629943420423227248727957350927272038208331546892934072794534202807409897320232962827049869844159507170792558536675062134951132243990494575910315675235171733513372732556679614607615241318324668378536941154440026960253781093766097703843027752804749901002131147599054639471401842280002911598473464568872115522637407404752242786138112515243783749900456676252387338789734460861018845730059236419486125928985932484677465824976391295457419275251712321447221688320853363265714493139634594162039969900681853146455881572355583748174572103928341528243947845234553499895568941179248001812938589098174041622051587226739703113655533766446712930003980616365496836661158670296371167289478651788603532907992075998311937897294348892702634501737834464778902952178787315167632342689968865896447462939994212710778414596201752535855371750089786041902660780038670770997512787005061082757952803275303413818948365386614141200419436945540258145779743071618058718138749905760782130521067291462415867053425219349689266711874273395153423651223228634962000822536362579556398833047734657798357687299117061347477873060127089053647368205570221233615887082936016007279364601707281476444586549430682264487855619923845399152632738789312473154222376891774264095110229042443427143631876346614296144665416111793653302681420124575316249594340573587094432499215413004238978475892289450897145326523576331363706028017116579571941586292912852580619160409023488541567325320071368549509857597754903426276765603568769992273628214386788928685961629946666133225751627040241631413745862092579461210441176339441627898579574196702075836384358645029050223243692434626731227506164367019856890436075268615480125466139378352372567083451768468607230119568634242510210935936803870648671737674844684065368574558298217908669834959501979078926810342757270460863357343644575754845349883798702193316513968076658953636971873380997877198051013818887859990369633091723389301226825141975225702189387845548761941292261666084408505784349919801330800758785502297885509074079598294822725935555376838197524914180557549672323463044}
23309  63270633355059688004064760779716793366892815134358192461752190845859603863182: {815395,908427,978474,1164850,1281115,1397820,1491008,1513915,1537338,1677384,1793407,1816698,1887057,2282714,2562010,2582859,3074412,3261020,3747919,3913224,4402377,4565036,4658600,4865311,5144659,5240925,5354170,5504799,5590320,5963008,6161515,6289110,6425004,6521480,6708384,6753819,7169727,7336665,7393818,7422811,7546932,7585419,7825776,8706346,8734125,8803998,9098179,9316400,9660639,10098746,10480950,11179680,11316927,11717515,11924992,11948515,12020767,12384428,12410395,12577140,13415616,14061018,14338218,14426780,14892474,15092568,15178315,15736604,15869395,16205947,16403107,16800218,16979139,17312136,17692040,18140287,18213978,18342499,18894428,19043274,19137099,19476153,19554091,19903545,20008315,21230448,21590427,22161608,22721611,23433010,23737994,23884254,24009978,24755467,24931809,25735315,25771867,25994618,26203570,26631176,26877715,26992040,27790915,27803611,27829724,28119612,28931515,29680725,29960073,30063548,30298915,30366045,30598316,30882378,31444284,31509674,31519039,31659440,31892395,32253258,32255899,32390448,32574715,32690906,32747899,33349098,33383647,33450074,33711115,33911420,34142079,34717818,35106139,35410111,35616870,35699899,35746527,35754115,36358698,36439254,37991328,38020315,38270874,38584399,39044587,39089658,39232891,40453338,40461434,40603939,40693704,41201594,41246179,41334879,42089395,42251385,42414799,42491647,42740244,42904938,43711880,43893715,43990892,44294527,44486169,44499691,45013820,45068144,45282307,45470395,45624378,45780417,46025947,46175276,47096456,47484259,47785820,47787331,49175865,49515715,49571132,49638027,50031039,50507274,50563711,50637115,50701662,50868314,51208779,51734659,52454256,52672458,52959725,52983513,53153491,53584927,53793259,53797928,53840186,54016584,54564474,54586906,55120570,55510527,55559395,55835179,56142571,57342984,57457227,57608287,57642751,57655759,57813619,57836828,57845919,58499516,58502834,58621219,58859420,59011038,59156539,59349715,59418858,60226627,60522669,60592570,60622111,60764538,60768657,60949027,61124107,62736905,62879259,63013916,63551670,63733147,63978451,64015915,64283107,64341919,64510857,64689010,65136907,65177227,65567395,65601116,65964680,66144684,66311852,66517267,66671274,66674395,67526467,67647439,67788448,68142811,68473196,68643487,68885395,69001807,69024027,69547915,69673418,69801226,69857827,70144987,70206226,70631304,70772828,70885759,71145547,71213419,71219658,71638099,71826979,71905819,72537019,72669020,72711084,73908314,73955515,73965626,74210265,74355339,74835115,75109171,75284286,75656750,75787819,75918259,75985579,76262004,76497434,76627227,76819098,76973299,77250715,77626812,77801066,78127915,78401407,78672489,78680874,79157616,79460217,79561459,79631026,80009274,80396427,80525419,82344139,82365370,82624040,82662474,82722715,82791547,83457211,83457498,83826271,83889608,84517599,84976556,85116427,85776115,86009727,86211645,87082315,87202824,87372026,87618427,88581418,88746618,89052318,89614399,89624150,89784259,89802138,90019880,90134828,90788100,90859418,91034746,91193354,91336699,91833010,91947139,91959088,92292715,92509315,92700858,92952045,93657725,93664339,93715880,93753498,94265059,94375809,94889919,95934547,96185395,96345596,96410186,96827779,96832915,96840640,96932659,97456539,98029178,98103177,98315947,98574010,98823914,98838444,99004796,99148848,99267258,99470719,99949051,...,113777899736430278862005197424358505359551906979504337829155340378877526545701250752052729973955776933277316129511038128433648770019863682027874492370074653739911837385171239174163578400623079959663904850700182778237809632529149746214742671304404534574886304766354999452361389958187082282363837076203769541502635803620367041048507470285508072366765623790671807956678482156530334782141517115113458441897632134003866065257873723968684056786596614511992670586417830009837064364531920236008143476280269050039493117087453584905596205223551235270373983893672028231659427026266961478194131819693797370148576640564708300177840289990190222762808119024997542182788549366944884158623574863575953904564290711305061892173814978417212735616880475389806380898195176643634904596237677961484473279130271492329148254573030499100617259149775782130893818238196665463222684322356037943819915429318369857309992743177789856681017873182247669682619483281650383920557684139034916211932033640895845245106027171697382882047792779954488785411202241791846897135330649455250724565190712983318233630348171473877559851431038881460028400291083149817280038990329201274996694827471593924344771049679658984096463834828553076452270351660263205311034905567412359491919612168527029787406015754657218368186256331241836510798226554206302384759955702190856535194475390307830604516634733338811927626082755452530618888704049544641414310985540397876721974107059290076866308531807457161570185201852618622710555688652372722968785788293587761893253777647785459275280794905918332818457490802927856169179349882154163675719311729256518803025978557817179068949846266990357856957693295721961810892878876444915130634840873091936026390908057312497320339401109191801304211114845980349444240574804766239260756188837805012593202426698365985741863865473512852757600270059098835019421911422861977487002567805411731660040440380671640649146555764541629207124851503196721398581959207102763420004367397710196853308173283956111107128364179207168772865675624850685014378581008184601691291528268595088854629229188893478898727016198737464586943186128912877568482170832532481280044898571739709451891243059954851022779719683822358533375622261858155892512292365921767851830249843353411768872002719407883647261062433077380840109554670483300649670069395005970924548245254991738005444556750934217977682905299361988113997467906845941523339053951752606751697168354428268180972751448514034953298844671194409991319066167621894302628803783057625134679062853991170058006156496269180507591624136929204912955120728422548079921211800629155418310387218669614607427088077208124858641173195781600937193623800580137829024533900067811410092730135476834842952443001233804543869334598249571601986697536530948675592021216809590190633580471052308355331850423830624404024010919046902560922214666879824146023396731783429885768098728949108183968709731333565337661396142665343563665140715447814519921444216998124167690479954022130186862974374391510860380641648748823119506358467713838434176345717989785364497045559042025674869357912379439369278870928740613535232812350987980107052824264786396632355139415148405353154988410442321580183393028942444919999199838627440560362447120618793138869191815661764509162441847869361295053113754576537967543575334865538651940096841259246550529785335654112902923220188199209067528558850625177652702910845179352951363765316403905205805973007606512267026098052861837447326863004752439252968618390215514135905691295036015466863632268024825698053289974770952114988430455457810071496815797076520728331789985554449637585083951840237712962838553284081768323142911938392499126612758676524879701996201138178253446828263611119397442234088903333065257296287371270836324508485194566}
23310  63496242244611134571142752517917382955218777117337993382357130466993140033139: {302861,395981,442529,512534,721649,791894,954029,1211236,1304632,1350182,1371809,1467711,1747275,1863760,1927841,2049784,2096730,2236512,2306007,2344109,2422264,2482721,2516076,2528909,2621261,2725047,3174701,3424071,3443812,3497009,3843015,3864881,4076275,4099216,4140449,4461581,4611618,4873889,4891530,4965014,5148401,5217632,5285549,5513969,5706295,5787809,5823250,5869836,5924621,6198029,6243569,6471149,6516641,6743981,6847554,6901382,6987900,7061921,7288781,7339732,7453760,7741901,7968161,8013389,8031255,8151850,8385480,8420081,8555501,8566672,8830694,8916269,8944512,9005092,9366509,9433665,9559636,9637506,9782220,9858424,9905741,10040369,10062576,10113892,10264589,10434368,10443821,10478774,11090727,11320398,11382689,11471921,11574614,11645500,11738664,11917601,12318029,12394982,12880852,12939629,12941174,12983969,13059519,13205997,13471181,13648109,13913261,13974600,14045729,14310449,14530829,14906240,14927009,15089236,15148119,15234701,15480535,15629729,15721425,15934934,16679969,16767281,16769520,17159789,17334029,17887488,18033475,18203309,18371414,18576642,18593441,18636749,18748024,18865710,19117624,19242221,19371761,19391407,19670755,19673741,19719974,19856632,20123424,20527382,20577329,20791949,21049229,21091527,21507327,21605681,21640170,22115050,22338711,22406294,22638852,22714529,22969649,23012141,23082848,23139569,23302279,23394209,23604906,23618035,23648561,23744054,24285304,24789581,25200327,25344614,25391032,25505009,25516132,25547021,25756961,25876982,25968204,26134349,26260001,26538060,26552909,26674454,26887181,27179249,27205382,27304301,27320967,27702010,27762209,28000694,28177649,28260641,28307264,28341642,28550861,28564911,28757921,28787236,29006129,29996081,30119501,30283949,30653489,31267949,31472369,31635761,31717409,31845672,31880609,32013304,32125169,32491469,32572781,32938289,33181601,33242412,33288970,33586481,33740050,33788621,33909809,34151969,34393841,34675661,34787155,34916909,35149515,35278241,35478701,35606991,35826381,35882534,35998961,36014967,36597581,36677261,36717089,36916109,37154669,37183574,37194401,37392941,37492816,37551629,37579435,37670561,37702982,37789421,38247895,38461601,38501069,38934689,38991927,39170801,39305355,39434626,39574300,39946764,40229741,40488060,40807334,40932461,41176504,41209399,41282849,41321741,41744586,41925712,42094694,42179418,42368801,42389275,42484781,42562061,43004344,43140641,43187264,43832561,44215841,44330669,44465464,44521889,45095322,45132449,45322829,45522772,45551021,45702989,45897474,45935174,46290424,46323567,46498721,46699382,46838669,47073187,47166426,47208134,47253281,47264511,47403809,47489160,47662036,48079601,48191981,48266861,48379887,48478264,48491309,48585672,49036359,49200161,49274609,49646369,49831949,49980269,50023647,50175111,50387489,50609201,50655104,50867130,50867501,51005414,51027832,52076727,52079921,52119544,52409069,52737569,52956209,53065421,53425305,53465249,53495431,53682929,53719181,53769494,53937784,54153581,54258272,54270182,54538047,54639850,54658881,54694961,54988615,55113172,55126769,55342241,55629089,55843889,56267174,56267275,56335180,56566939,56842481,56986992,57020141,57206584,57233069,57406311,57445709,57481121,57719095,58011341,58634487,58820849,58870570,59241521,59314892,59486381,59732275,60114221,60183821,60288161,60392429,60680007,60692151,60832504,61040556,61327601,61638029,61775789,61802391,61963915,61982189,62291249,62448374,62804909,63282701,63724961,63792881,64030349,64110366,64132001,64357407,64402721,64504109,64706669,64895654,65346209,65567820,65986338,66016289,66184036,66250061,66350129,66550049,66708052,66816161,67048589,67247410,67247501,67343032,67520730,67545329,67602216,68278372,68297654,68436567,68500589,68631821,68795681,68828429,69188129,69262914,69611981,69747014,69872141,69939008,70099361,70229944,70261421,70293809,70487969,70644684,70681841,70843181,71165261,71326001,71678730,72022112,72296035,72572909,72752632,72985841,73080941,73124395,73175969,73347734,73403407,73574275,73618481,73650029,73807649,73825382,74014036,74185121,74302454,74356698,74467469,74655341,74874161,74967821,75123761,75341741,75403949,75528269,75760911,75807521,75993329,76052493,76055201,76147949,76178849,76302471,76457312,76609636,76916054,77127892,77255309,77561069,78018209,78352301,78443249,78624929,78681384,78745889,78767395,79008687,79168241,79198349,79225144,79559021,80464202,80693549,80696892,80723249,80760279,80871629,80920982,81019384,81024876,81138209,81345101,81389414,81623414,81698861,81846711,81880359,82001395,82285901,82455850,82557974,82665761,82680855,82889815,83073329,83160461,83797229,83839012,83941409,84735560,84745121,84830861,84887981,84973601,85514189,85591495,85599281,85938929,86014476,86023661,86614769,86734982,86754989,86755242,87090701,87749274,87754251,87786401,88192912,88289130,88346774,88466035,88516557,88576454,88669601,88697069,88751981,88895032,89080781,89128287,89816369,89897741,90180182,90330509,90626849,90788081,90836275,90888855,90975821,91136429,91146807,91536689,91589921,91669709,91829069,91855601,92032036,92331809,92568941,92621549,92700401,92857889,93119729,93139814,93744881,93900449,94029869,94175072,94520874,94596941,94955789,94959544,95327505,95414861,95728666,95744801,95871341,96098609,96475949,96524534,96551201,96701489,96801521,96948112,96951329,97033515,97597169,97745441,97979714,97991921,98188529,98213069,98286641,98401674,98726561,98848301,98945549,98947020,99140452,99217026,99467778,99670829,99791009,99815021,...,170666849604645418293007796136537758039327860469256506743733010568316289818551876128079094960933665399915974194266557192650473155029795523041811738555111980609867756077756858761245367600934619939495857276050274167356714448793724619322114006956606801862329457149532499178542084937280623423545755614305654312253953705430550561572761205428262108550148435686007711935017723234795502173212275672670187662846448201005799097886810585953026085179894921767989005879626745014755596546797880354012215214420403575059239675631180377358394307835326852905560975840508042347489140539400442217291197729540696055222864960847062450266760434985285334144212178537496313274182824050417326237935362295363930856846436066957592838260722467625819103425320713084709571347292764965452356894356516942226709918695407238493722381859545748650925888724663673196340727357294998194834026483534056915729873143977554785964989114766684785021526809773371504523929224922475575880836526208552374317898050461343767867659040757546074323071689169931733178116803362687770345702995974182876086847786069474977350445522257210816339777146558322190042600436624724725920058485493801912495042241207390886517156574519488476144695752242829614678405527490394807966552358351118539237879418252790544681109023631985827552279384496862754766197339831309453577139933553286284802791713085461745906774952100008217891439124133178795928333056074316962121466478310596815082961160588935115299462797711185742355277802778927934065833532978559084453178682440381642839880666471678188912921192358877499227686236204391784253769024823231245513578967593884778204538967836725768603424769400485536785436539943582942716339318314667372695952261309637904039586362085968745980509101663787701956316672268970524166360862207149358891134283256707518889803640047548978612795798210269279136400405088648252529132867134292966230503851708117597490060660571007460973719833646812443810687277254795082097872938810654145130006551096565295279962259925934166660692546268810753159298513437276027521567871512276902536937292402892633281943843783340218348090524298106196880414779193369316352723256248798721920067347857609564177836864589932276534169579525733537800063433392787233838768438548882651777745374765030117653308004079111825470891593649616071260164332005724950974505104092508956386822367882487607008166835126401326966524357949042982170996201860268912285008580927628910127545752531642402271459127172771052429948267006791614986978599251432841453943205674586437702018594280986755087009234744403770761387436205393807369432681092633822119881817700943733127465580828004421911140632115812187287961759793672401405790435700870206743536800850101717115139095203215252264428664501850706815804001897374357402980046304796423013388031825214385285950370706578462532997775635745936606036016378570353841383322000319736219035095097675144828652148093423662275953064597000348006492094213998015345497711073171721779882166325497186251535719931033195280294461561587266290570962473123234679259537701570757651264518576984678046745568338563038512304036868569159053918306393110920302849218526481970160579236397179594948532709122722608029732482615663482370275089543413667379998799757941160840543670680928189708303787723492646763743662771804041942579670631864806951315363002298307977910145261888869825794678003481169354384830282298813601292838275937766479054366267769029427045647974605857808708959511409768400539147079292756170990294507128658879452927585323271203858536942554023200295448402037238547079934962156428172482645683186715107245223695614781092497684978331674456377625927760356569444257829926122652484714367907588748689919138014787319552994301707267380170242395416679096163351133354999597885944431056906254486762727791849}
23311  63722650335198026577751531621383233141076529553546618139987495473223051682285: {23311,768801,1141553,1187841,1514045,1630790,1793561,1816854,1956948,2025273,2119481,2329700,2562230,2795640,2982016,3027830,3074676,3145095,3354768,3586814,3633396,3774114,4304765,4565428,5124020,5165718,5749913,6148824,6522040,6917427,7337295,7447521,7495838,7826448,7934729,8626121,8734875,8772413,8804754,9130072,9174665,9317200,9730622,10168553,10271331,10289318,10352073,10481850,10708340,11009598,11180640,11256365,11926016,11949545,12227775,12323030,12578220,12642365,12850008,13042960,13246041,13416768,13507638,14206361,14339454,14456259,14556875,14673330,14787636,14845622,15093864,15170838,15651552,15718161,16101065,16404521,16727921,16980597,16996481,17361921,17374553,17412692,17468250,17607996,18112529,18196358,18592473,18632800,18651281,18861545,19321278,19411761,19786601,20197492,20902649,20961900,21249641,21438521,22217153,22359360,22633854,23435030,23849984,23897030,23902401,24041534,24757601,24768856,24820790,25154280,26282201,26455553,26831232,26852813,27557121,27864963,28011641,28122036,28298565,28676436,28853560,29256461,29579961,29784948,30185136,30356630,30457661,30791073,31473208,31738790,31895165,32372681,32411894,32460255,32587481,32806214,32858813,33172575,33600436,33609441,33958278,34624272,35384080,35407359,35616081,35984045,36029441,36280574,36427956,36600593,36684998,37628801,37788856,38016921,38086548,38161961,38251853,38274198,38815473,38907281,38952306,39108182,39236273,39453401,39807090,39967961,40011681,40016630,40391753,40504121,40808073,40949201,41553015,41848313,42001041,42170753,42418481,42460896,42512463,43180854,44323216,44649353,45380873,45443222,45604601,46866020,47195561,47475988,47768508,48019956,49133453,49467875,49510934,49863618,49933455,50017553,50055761,50217401,50610075,51083009,51470630,51543734,51989236,52407140,53158073,53228441,53262352,53755430,53823801,53984080,54394301,55581830,55607222,55659448,55775361,56239224,56554473,56819249,56903465,57863030,58045709,58115849,58881233,58925153,59151939,59361450,59408081,59577545,59685881,59757113,59920146,60127096,60597830,60732090,60954281,61129409,61196632,61211001,61451201,61764756,62616879,62665901,62888568,63019348,63038078,63142041,63269127,63318880,63327641,63658553,63738641,63784790,64096001,64506516,64511798,64780896,65149430,65381812,65495798,65517833,66523001,66698196,66767294,66842081,66900148,67422230,67642983,67822840,68082521,68284158,68649449,68846211,68891465,68902761,69322001,69428621,69435636,70049073,70212278,70418975,70749639,70812201,70820222,70820441,70891961,71233740,71399798,71493054,71508230,71644313,71651921,72237581,72717396,72878508,73047353,73249853,74143615,74995901,75982656,76040630,76300695,76508121,76541748,76864841,76979981,77168798,77647361,77783153,78089174,78179316,78465782,78773033,80532413,80654241,80906676,80922868,81124121,81154001,81207878,81387408,81405273,81959775,82403188,82492358,82669758,82730045,82898621,83089601,83385065,83526041,84081101,84178790,84400761,84502770,84704033,84829598,84983294,85123841,85347965,85480488,85809876,86286269,86597501,87423760,87462161,87787430,87831667,87981784,88305855,88589054,88972338,88999382,89622281,90027640,90136288,90564614,90940790,91248756,91560834,91718153,91794353,92051894,92159021,92350552,92517545,92531729,93289433,93344153,93672561,94192912,94448141,94968518,95557649,95571640,95574662,95762045,96165549,96409865,96439553,97343481,97367081,97834241,98288321,98351730,98979507,99031430,99142264,99276054,...,227555799472860557724010394848717010719103813959008675658310680757755053091402501504105459947911553866554632259022076256867297540039727364055748984740149307479823674770342478348327156801246159919327809701400365556475619265058299492429485342608809069149772609532709998904722779916374164564727674152407539083005271607240734082097014940571016144733531247581343615913356964313060669564283034230226916883795264268007732130515747447937368113573193229023985341172835660019674128729063840472016286952560538100078986234174907169811192410447102470540747967787344056463318854052533922956388263639387594740297153281129416600355680579980380445525616238049995084365577098733889768317247149727151907809128581422610123784347629956834425471233760950779612761796390353287269809192475355922968946558260542984658296509146060998201234518299551564261787636476393330926445368644712075887639830858636739714619985486355579713362035746364495339365238966563300767841115368278069832423864067281791690490212054343394765764095585559908977570822404483583693794270661298910501449130381425966636467260696342947755119702862077762920056800582166299634560077980658402549993389654943187848689542099359317968192927669657106152904540703320526410622069811134824718983839224337054059574812031509314436736372512662483673021596453108412604769519911404381713070388950780615661209033269466677623855252165510905061237777408099089282828621971080795753443948214118580153732617063614914323140370403705237245421111377304745445937571576587175523786507555295570918550561589811836665636914981605855712338358699764308327351438623458513037606051957115634358137899692533980715713915386591443923621785757752889830261269681746183872052781816114624994640678802218383602608422229691960698888481149609532478521512377675610025186404853396731971483727730947025705515200540118197670038843822845723954974005135610823463320080880761343281298293111529083258414249703006393442797163918414205526840008734795420393706616346567912222214256728358414337545731351249701370028757162016369203382583056537190177709258458377786957797454032397474929173886372257825755136964341665064962560089797143479418903782486119909702045559439367644717066751244523716311785024584731843535703660499686706823537744005438815767294522124866154761680219109340966601299340138790011941849096490509983476010889113501868435955365810598723976227994935813691883046678107903505213503394336708856536361945502897028069906597689342388819982638132335243788605257607566115250269358125707982340116012312992538361015183248273858409825910241456845096159842423601258310836620774437339229214854176154416249717282346391563201874387247601160275658049067800135622820185460270953669685904886002467609087738669196499143203973395073061897351184042433619180381267160942104616710663700847661248808048021838093805121844429333759648292046793463566859771536197457898216367937419462667130675322792285330687127330281430895629039842888433996248335380959908044260373725948748783021720761283297497646239012716935427676868352691435979570728994091118084051349738715824758878738557741857481227070465624701975960214105648529572793264710278830296810706309976820884643160366786057884889839998399677254881120724894241237586277738383631323529018324883695738722590106227509153075935087150669731077303880193682518493101059570671308225805846440376398418135057117701250355305405821690358705902727530632807810411611946015213024534052196105723674894653726009504878505937236780431028271811382590072030933727264536049651396106579949541904229976860910915620142993631594153041456663579971108899275170167903680475425925677106568163536646285823876784998253225517353049759403992402276356506893656527222238794884468177806666130514592574742541672649016970389132}
23312  63949860439362757870260838155922396786627322809501175733931078156725331642628: {442567,605722,791962,885058,1000567,1025068,1418311,1443298,1583788,1908058,2390527,2422472,2446185,2529127,2609264,2700364,2725281,2743618,2912125,2935422,3221047,3494550,3727520,3843345,3855682,4099568,4186711,4193460,4473024,4541745,4612014,4688218,4844528,4965442,5032152,5057818,5242522,5380221,5450094,5560111,5661171,5706785,6244111,6349402,6405025,6517207,6848142,6887624,6994018,7686030,7729762,7748577,7988813,8014087,8152550,8198432,8280898,8923162,9223236,9747778,9783060,9930028,10296802,10435264,10571098,11027938,11243757,11412590,11575618,11646500,11739672,11849242,12396058,12487138,12942298,12985111,13033282,13207131,13385425,13487962,13695108,13802764,13914487,13975800,14123842,14576167,14577562,14595933,14679464,14907520,14972311,15236047,15433977,15483802,15631111,15722775,15936322,16026778,16062510,16303700,16514397,16681447,16770960,16840162,17111002,17133344,17335567,17661388,17832538,17889024,18010184,18248311,18484545,18638407,18733018,18867330,19119272,19275012,19287127,19564440,19716848,19811482,20080738,20125152,20227784,20261457,20529178,20868736,20887642,20957548,21509181,21672749,21765865,22009995,22181454,22268433,22503727,22640796,22756257,22759111,22765378,22943842,23014207,23141647,23149228,23291000,23477328,23835202,24636058,24789964,24918247,25246865,25549327,25761704,25879258,25882348,25967938,26119038,26202375,26411994,26555311,26942362,27294537,27296218,27539057,27556687,27826522,27949200,28091458,28620898,28981917,29050111,29061658,29812480,29854018,30178472,30296238,30469402,30961070,30984349,31259458,31442850,31761127,31869868,32128111,33065249,33359938,33534562,33539040,33950781,34319578,34668058,35152545,35774976,35845545,36002287,36062301,36066950,36406618,36720487,36742828,37153284,37186882,37197847,37231185,37273498,37496048,37731420,37792927,38235248,38386207,38484442,38504647,38743522,38782814,39331711,39341510,39347482,39439948,39713264,40246848,40272607,41054764,41154658,41325607,41583898,42000545,42098458,42183054,42488767,42604687,43014654,43183207,43211362,43280340,44230100,44677422,44812588,45277704,45365167,45429058,45534945,45939298,46024282,46165696,46279138,46604558,46788418,47209812,47236070,47297122,47408311,47488108,47608185,47971711,48196567,48533311,48570608,48617841,48702017,49209321,49579162,49873807,50400654,50689228,50782064,50937417,51010018,51032264,51094042,51513922,51753964,51936408,52084927,52268698,52520002,52611209,52742647,53076120,53105818,53348908,53547053,53724367,53774362,54358498,54410764,54420861,54608602,54641934,55027497,55132111,55404020,55524418,55885087,55992367,56001388,56355298,56521282,56527687,56614528,56683284,57101722,57129822,57274111,57411297,57486727,57515842,57574472,58012258,58017007,58428459,58582525,58662273,59344985,59710635,59992162,60024945,60120127,60239002,60433111,60567898,61306978,62297407,62535898,62944738,63221873,63271522,63434818,63691344,63731287,63761218,63833167,64026608,64250338,64771281,64982938,64986545,65145562,65508925,65876578,66056311,66356767,66363202,66484824,66577940,66851837,67172962,67480100,67577242,67819618,68164833,68303938,68787682,68835367,69325687,69351322,69521311,69574310,69833818,70299030,70300927,70556482,70957402,71172487,71213982,71461711,71652762,71765068,71997922,72029934,72707527,73195162,73354522,73434178,73657567,73832218,74266401,74309338,74367148,74388802,74506447,74785882,74795427,74985632,75103258,75158870,75341122,75405964,75536047,75578842,76186711,76495790,76923202,76984061,77002138,77205945,77293927,77315601,77869378,77983854,78341602,78610710,78663367,78754087,78774185,78869252,79148600,79206607,79893528,80459482,80633145,80731711,80806733,80909767,80976120,81176311,81614668,81727265,81864922,82323847,82353008,82418798,82565698,82643482,83372745,83410833,83489172,83625185,83851424,84189388,84358836,84737602,84778550,84925567,84969562,85124122,86008688,86281282,86371111,86374528,86749481,86792311,86794545,87665122,87879007,88293727,88431682,88661338,88706647,88930928,89042175,89043778,89281711,89690311,89880219,90190644,90264898,90645658,90663607,90896745,91045544,91098135,91102042,91405978,91546687,91706311,91794948,91865647,91870348,92341927,92580848,92647134,92894311,92997442,93051487,93398764,93677338,93910807,94146374,94332852,94416268,94506562,94529022,94557117,94807618,94978320,95324072,95677185,95755447,96159202,96383962,96533722,96759774,96767697,96956528,96982618,97111711,97171344,97335487,97724145,98072718,98224111,98243697,98400322,98549218,98737687,99292738,99663898,99826327,99960538,...,341333699209290836586015592273075516078655720938513013487466021136632579637103752256158189921867330799831948388533114385300946310059591046083623477110223961219735512155513717522490735201869239878991714552100548334713428897587449238644228013913213603724658914299064998357084169874561246847091511228611308624507907410861101123145522410856524217100296871372015423870035446469591004346424551345340375325692896402011598195773621171906052170359789843535978011759253490029511193093595760708024430428840807150118479351262360754716788615670653705811121951681016084694978281078800884434582395459081392110445729921694124900533520869970570668288424357074992626548365648100834652475870724590727861713692872133915185676521444935251638206850641426169419142694585529930904713788713033884453419837390814476987444763719091497301851777449327346392681454714589996389668052967068113831459746287955109571929978229533369570043053619546743009047858449844951151761673052417104748635796100922687535735318081515092148646143378339863466356233606725375540691405991948365752173695572138949954700891044514421632679554293116644380085200873249449451840116970987603824990084482414781773034313149038976952289391504485659229356811054980789615933104716702237078475758836505581089362218047263971655104558768993725509532394679662618907154279867106572569605583426170923491813549904200016435782878248266357591856666112148633924242932956621193630165922321177870230598925595422371484710555605557855868131667065957118168906357364880763285679761332943356377825842384717754998455372472408783568507538049646462491027157935187769556409077935673451537206849538800971073570873079887165885432678636629334745391904522619275808079172724171937491961018203327575403912633344537941048332721724414298717782268566513415037779607280095097957225591596420538558272800810177296505058265734268585932461007703416235194980121321142014921947439667293624887621374554509590164195745877621308290260013102193130590559924519851868333321385092537621506318597026874552055043135743024553805073874584805785266563887687566680436696181048596212393760829558386738632705446512497597443840134695715219128355673729179864553068339159051467075600126866785574467677536877097765303555490749530060235306616008158223650941783187299232142520328664011449901949010208185017912773644735764975214016333670252802653933048715898085964341992403720537824570017161855257820255091505063284804542918254345542104859896534013583229973957198502865682907886411349172875404037188561973510174018469488807541522774872410787614738865362185267644239763635401887466254931161656008843822281264231624374575923519587344802811580871401740413487073601700203434230278190406430504528857329003701413631608003794748714805960092609592846026776063650428770571900741413156925065995551271491873212072032757140707682766644000639472438070190195350289657304296186847324551906129194000696012984188427996030690995422146343443559764332650994372503071439862066390560588923123174532581141924946246469358519075403141515302529037153969356093491136677126077024608073737138318107836612786221840605698437052963940321158472794359189897065418245445216059464965231326964740550179086827334759997599515882321681087341361856379416607575446985293527487325543608083885159341263729613902630726004596615955820290523777739651589356006962338708769660564597627202585676551875532958108732535538058854091295949211715617417919022819536801078294158585512341980589014257317758905855170646542407717073885108046400590896804074477094159869924312856344965291366373430214490447391229562184995369956663348912755251855520713138888515659852245304969428735815177497379838276029574639105988603414534760340484790833358192326702266709999195771888862113812508973525455583698}
23313  64177875379480649718085708180313146811485417455583614512316100107611674967583: {46622,908583,1187943,1281335,1327587,1537602,1979735,2119663,2164947,2283106,2375682,2818211,2862087,3028090,3261580,3375455,3587122,3633708,3913896,4050546,4115427,4238962,4403133,4659400,5124460,5241825,5591280,5783523,5889587,5964032,6026671,6055660,6149352,6290190,6709536,6727631,6918021,7032327,7173628,7266792,7448163,7548228,7586727,7863783,8175141,8609530,9130856,9377407,9524103,10248040,10272213,10331436,10491027,11499826,11529045,11594643,12228825,12297648,12412535,12421347,12844531,13044080,13384743,13834854,14558125,14621667,14674590,14895042,14991676,15445203,15652896,15758911,15856647,15869458,16541907,16729363,17118885,17252242,17253455,17363427,17469750,17544826,17609508,17699311,17773863,18260144,18349330,18594087,18634400,18730707,18996067,19413447,19461244,19549923,20231943,20337106,20379625,20542662,20578636,20704146,20963700,21185763,21416680,21866343,22019196,22042423,22076735,22344211,22361280,22512730,22541491,23225703,23852032,23899090,23904483,24040167,24093765,24455550,24646060,25156440,25260243,25284730,25666503,25700016,25776311,26085920,26196935,26406163,26492082,26748807,26833536,27015276,28099527,28300995,28412722,28678908,28823927,28912518,28936535,29113750,29258983,29346660,29567971,29575272,29691244,29717223,30121107,30187728,30341676,30793767,30987455,31060783,31303104,31331463,31436322,32202130,32352935,32809042,33272181,33455842,33961194,33992962,34148067,34415763,34723842,34749106,34825384,34936500,35215992,35752803,36225058,36392716,36954087,37184946,37265600,37302562,37723090,38258623,38642556,38818887,38823522,38951907,39178557,39573202,39617991,39837335,40394984,40413543,40944327,41739783,41805298,41923800,42137187,42180791,42499282,42752071,42877042,42931347,42946723,43592487,44434306,44653231,44718720,44781027,45267708,45444357,45704103,45928535,46441605,46870060,46889187,47164275,47234863,47492447,47699968,47794060,47804802,48083068,49299935,49515202,49537712,49641580,50039907,50301843,50308560,50377663,51318455,51479367,52002087,52521967,52564402,52911106,53662464,53705626,53868047,53937311,54100425,54609927,55114242,55287625,55729926,55780323,55844807,55901971,55910247,56015735,56023282,56244072,56597130,56824147,57352872,57535111,57707120,57726663,58115283,58174221,58512922,59012265,59021223,59159922,59360135,59569896,60370272,60632627,60713260,60877207,60915322,61582146,61731987,62375847,62671303,62946416,63147687,63274581,63361535,63477580,63790330,64521981,64692455,64745362,64817043,64823788,64920510,65174962,65612428,65717626,66345150,66397267,66651827,66686135,66847843,67016133,67200872,67218882,67538111,67804831,67916556,68013455,68143587,68682367,68908947,69036423,69248544,69255025,69418707,69778067,69906837,70001735,70182627,70345031,70768160,70814718,70854105,70945683,71157911,71232162,71636707,71968090,72058882,72243847,72549527,72561148,72815383,72855912,73201186,73369996,74368743,75257602,75577712,75600981,76033842,76173096,76323922,76503706,76515027,76548396,76641063,77270883,77358551,77630946,77814562,77904612,78216364,78301567,78403047,78472546,78780003,78906802,78912167,79614180,79658727,79664851,79935922,80023362,80033260,80661543,80783506,81008242,81131167,81537747,81616146,81898402,81912903,81962901,83106030,83222425,83286627,83408563,83696626,84002082,84341506,84350125,84532947,84679543,84781923,84836962,84921792,85024926,85652583,85694733,86273763,86361708,87018387,87260207,88312303,88646432,89298706,89706335,89988243,90358503,90601907,90761746,90851847,90886444,91209202,91352543,91765063,91960467,91982543,92958935,93432511,93680591,93732040,93803847,94257455,94391122,94417107,94907283,94951976,95152227,95537016,95641827,96039912,96375507,96448051,96654583,97474407,97718343,97751827,98266906,98586565,98814867,98935750,99021868,99544803,99723187,99727236,99866910,...,512000548813936254879023388409613274117983581407769520231199031704948869455655628384237284882800996199747922582799671577951419465089386569125435215665335941829603268233270576283736102802803859818487571828150822502070143346381173857966342020869820405586988371448597497535626254811841870270637266842916962936761861116291651684718283616284786325650445307058023135805053169704386506519636827018010562988539344603017397293660431757859078255539684765303967017638880235044266789640393641062036645643261210725177719026893541132075182923505980558716682927521524127042467421618201326651873593188622088165668594882541187350800281304955856002432636535612488939822548472151251978713806086886091792570539308200872778514782167402877457310275962139254128714041878294896357070683069550826680129756086221715481167145578637245952777666173991019589022182071884994584502079450602170747189619431932664357894967344300054355064580429320114513571787674767426727642509578625657122953694151384031303602977122272638222969215067509795199534350410088063311037108987922548628260543358208424932051336566771632449019331439674966570127801309874174177760175456481405737485126723622172659551469723558465428434087256728488844035216582471184423899657075053355617713638254758371634043327070895957482656838153490588264298592019493928360731419800659858854408375139256385237720324856300024653674317372399536387784999168222950886364399434931790445248883481766805345898388393133557227065833408336783802197500598935677253359536047321144928519641999415034566738763577076632497683058708613175352761307074469693736540736902781654334613616903510177305810274308201456610356309619830748828149017954944002118087856783928913712118759086257906237941527304991363105868950016806911572499082586621448076673402849770122556669410920142646935838387394630807837409201215265944757587398601402878898691511555124352792470181981713022382921159500940437331432061831764385246293618816431962435390019653289695885839886779777802499982077638806432259477895540311828082564703614536830707610811877208677899845831531350020655044271572894318590641244337580107949058169768746396165760202043572828692533510593769796829602508738577200613400190300178361701516305315646647955333236124295090352959924012237335476412674780948848213780492996017174852923515312277526869160467103647462821024500505379203980899573073847128946512988605580806736855025742782886730382637257594927206814377381518313157289844801020374844960935797754298524361829617023759313106055782842960265261027704233211312284162308616181422108298043277901466359645453102831199382396742484013265733421896347436561863885279381017204217371307102610620230610402550305151345417285609645756793285993505552120447412005692123072208940138914389269040164095475643155857851112119735387598993326907237809818108049135711061524149966000959208657105285293025434485956444280270986827859193791001044019476282641994046036493133219515165339646498976491558754607159793099585840883384684761798871712887419369704037778613104712272953793555730954034140236705015689115536912110605707477161754919179332760908547655579445910481737709191538784845598127368167824089197447846990447110825268630241002139996399273823482521631012042784569124911363170477940291230988315412125827739011895594420853946089006894923933730435785666609477384034010443508063154490846896440803878514827813299437163098803307088281136943923817573426126878534229305201617441237878268512970883521385976638358782755969813611575610827662069600886345206111715641239804886469284517447937049560145321735671086844343277493054934995023369132877783281069708332773489778367957454143103722766246069757414044361958658982905121802140510727186250037288490053400064998793657833293170718763460288183375547}
23314  64406697987794101930971095261806539598322488159337735445336461804674746704760: {69933,396049,535693,885134,1211444,1583924,1770116,2001134,2050136,2306403,2621713,2836622,2886596,3167576,3424659,3563523,3816116,4076975,4542135,4554049,4781054,4844944,4892370,5058254,5218528,5240749,5377873,5380683,5400728,5450562,5487236,5788813,5824250,5870844,5925649,6075819,6358443,6405575,6442094,6745153,6989100,7153933,7455040,7569575,7686690,7711364,7989499,8105233,8199136,8373422,8386920,8946048,8967035,9083490,9224028,9376436,9435285,9689056,9930884,10064304,10115636,10131853,10485044,10535233,10760442,10900188,11120222,11322342,11413570,11473933,12488222,12698804,12808813,12810050,12914295,13034414,13340749,13473553,13696284,13775248,13988036,14004049,15325249,15372060,15459524,15497154,15851713,15977626,16028174,16305100,16396864,16561796,16770253,17249739,17424193,17846324,18446472,18739595,19495556,19566120,19763473,19860056,20593604,20752281,20870528,21142196,21181549,21695053,22011885,22055876,22342563,22487514,22825180,22973773,23151236,23293000,23479344,23698484,23804187,24326555,24792116,24974276,25723295,25878363,25884596,25970222,26066564,26139073,26204625,26317239,26414262,26770850,26975924,27017293,27390216,27523995,27605528,27828974,27951600,28141249,28247684,28265773,28638913,29152334,29155124,29191866,29358928,29815040,29944622,30472094,30472211,30505659,30807575,30813993,30867954,30967604,31056219,31262222,31355473,31445550,31723213,31872644,32053556,32125020,32578753,32607400,32944333,33028794,33362894,33541920,33680324,33769095,34222004,34266688,34671134,34762513,35003713,35322776,35345611,35665076,35778048,35848635,36020368,36085549,36496622,36617867,36683325,36684049,36969090,37114055,37276814,37466036,37734660,37927095,38238544,38550024,38574254,38941933,39128880,39178093,39433696,39622964,39649549,39738123,40161476,40250304,40455568,40522914,40823149,40940113,41058356,41290573,41737472,41775284,41915096,42105793,42570049,42619083,43018362,43345498,43368777,43531730,43670625,44019990,44300749,44362908,44536866,45007454,45281592,45490895,45512514,45518222,45530756,45887684,46028414,46283294,46298456,46582000,46583149,46696513,46954656,47154483,47670404,48276049,48303195,48948673,49213563,49272116,49284013,49579928,49836494,50063953,50183763,50397133,50493730,50508049,50941791,50950993,50989443,51098654,51523408,51758516,51764696,51935876,52085763,52123659,52238076,52404750,52820653,52823988,53110622,53884724,54236353,54337587,54453073,54589074,54592436,55078114,55113374,55424749,55653044,55777419,55898400,55953843,56182916,56584635,57241796,57963834,58093249,58100222,58123316,58235283,58587575,58800763,59253133,59359803,59624960,59708036,59742575,60103835,60195649,60356944,60592476,60938804,61922140,61968698,62051975,62372173,62518916,62707947,62885700,63295249,63522254,63739736,63748923,63805549,64212493,64256222,64315563,64757627,65224813,66130498,66430093,66651459,66719876,67069124,67078080,67901562,68639156,68711233,69336116,70305090,71244049,71549952,71691090,71707203,72004574,72124602,72133900,72813236,73440974,73485656,73538833,73972151,74272803,74306568,74373764,74395694,74462370,74546996,74716759,74952013,74992096,75419473,75462840,75585854,75885133,75891575,76070893,76470496,76772414,76968884,77009294,77454913,77487044,77565628,78663422,78683020,78694964,78846603,78879896,79275073,79346975,79366659,79426528,79635649,80493696,80545214,80558439,80888593,81029735,81509773,82015535,82109528,82309316,82651214,82671363,83082979,83167796,83178049,83594889,84001090,84034923,84196916,84366108,84895695,84906049,84977534,85209374,85844173,86029308,86366414,86422724,86560680,86689453,87769383,87777553,88460200,88739883,88771153,89354844,89625176,89835853,90555408,90701435,90730334,90807853,90858116,90981163,91069890,91209793,91372983,91609933,91712495,91878596,92048564,92331392,92373219,92558276,92641873,93209116,93576836,93817453,94419624,94472140,94594244,94669249,94816622,94976216,95130193,95216370,95685495,95892673,95943422,96393134,96647953,97066622,97118043,97141216,97235682,97380765,97404034,97693249,97762443,97770455,98063149,98357773,98418642,98576439,99158324,99517725,99747614,99885649,...,682667398418581673172031184546151032157311441877026026974932042273265159274207504512316379843734661599663896777066228770601892620119182092167246954220447922439471024311027435044981470403738479757983429104201096669426857795174898477288456027826427207449317828598129996714168339749122493694183022457222617249015814821722202246291044821713048434200593742744030847740070892939182008692849102690680750651385792804023196391547242343812104340719579687071956023518506980059022386187191521416048860857681614300236958702524721509433577231341307411622243903362032169389956562157601768869164790918162784220891459843388249801067041739941141336576848714149985253096731296201669304951741449181455723427385744267830371353042889870503276413701282852338838285389171059861809427577426067768906839674781628953974889527438182994603703554898654692785362909429179992779336105934136227662919492575910219143859956459066739140086107239093486018095716899689902303523346104834209497271592201845375071470636163030184297292286756679726932712467213450751081382811983896731504347391144277899909401782089028843265359108586233288760170401746498898903680233941975207649980168964829563546068626298077953904578783008971318458713622109961579231866209433404474156951517673011162178724436094527943310209117537987451019064789359325237814308559734213145139211166852341846983627099808400032871565756496532715183713332224297267848485865913242387260331844642355740461197851190844742969421111211115711736263334131914236337812714729761526571359522665886712755651684769435509996910744944817567137015076099292924982054315870375539112818155871346903074413699077601942147141746159774331770865357273258669490783809045238551616158345448343874983922036406655150807825266689075882096665443448828597435564537133026830075559214560190195914451183192841077116545601620354593010116531468537171864922015406832470389960242642284029843894879334587249775242749109019180328391491755242616580520026204386261181119849039703736666642770185075243012637194053749104110086271486049107610147749169611570533127775375133360873392362097192424787521659116773477265410893024995194887680269391430438256711347458359729106136678318102934151200253733571148935355073754195530607110981499060120470613232016316447301883566374598464285040657328022899803898020416370035825547289471529950428032667340505605307866097431796171928683984807441075649140034323710515640510183010126569609085836508691084209719793068027166459947914397005731365815772822698345750808074377123947020348036938977615083045549744821575229477730724370535288479527270803774932509862323312017687644562528463248749151847039174689605623161742803480826974147203400406868460556380812861009057714658007402827263216007589497429611920185219185692053552127300857541143801482826313850131991102542983746424144065514281415365533288001278944876140380390700579314608592373694649103812258388001392025968376855992061381990844292686887119528665301988745006142879724132781121177846246349065162283849892492938717038150806283030605058074307938712186982273354252154049216147474276636215673225572443681211396874105927880642316945588718379794130836490890432118929930462653929481100358173654669519995199031764643362174682723712758833215150893970587054974651087216167770318682527459227805261452009193231911640581047555479303178712013924677417539321129195254405171353103751065916217465071076117708182591898423431234835838045639073602156588317171024683961178028514635517811710341293084815434147770216092801181793608148954188319739848625712689930582732746860428980894782459124369990739913326697825510503711041426277777031319704490609938857471630354994759676552059149278211977206829069520680969581666716384653404533419998391543777724227625017947050911167396}
23315  64636331106446861808219532633365290365996439648334812819314049622693500730368: {93244,1327701,1514305,1793869,1817166,1979905,2212645,2375886,2562670,2655174,2771629,2818453,3001701,3075204,3330613,3608245,3959470,4239326,4254933,4329894,4566212,4725637,4751364,4770145,5636422,5724174,6056180,6523160,6750910,6859045,6960421,7171581,7174244,7267416,7338555,7519117,7587381,7827792,8101092,8175843,8230854,8477924,8736375,8806266,9318800,9639205,9663141,10248920,10483650,11182560,11471617,11530035,11567046,11720545,11779174,11928064,12053342,12111320,12298704,12309301,12413605,12560133,12580380,12644545,13106305,13419072,13455262,13555333,13625235,13836042,14064654,14347256,14533584,14896326,15096456,15173454,15727566,15873505,16140663,16350282,16680333,16983513,17120355,17219060,17377549,17485045,18261712,18577549,18732333,18754814,19048206,19215075,19324405,19551621,20381375,20496080,20544426,20662872,20702245,20982054,21925693,22307905,22999652,23058090,23189286,23245731,23966439,24042261,24154837,24369445,24457650,24595296,24825070,24842694,25689062,25742005,25778533,26088160,26286733,26427745,26769486,27302869,27569845,27669708,28034989,28531475,28939045,29116250,29243334,29349180,29623105,29790084,29983352,30462913,30890406,30907429,30990145,31217845,31305792,31517822,31713294,31738916,32355745,32583205,33083814,33392293,33458726,33719905,33731271,34064641,34237770,34504484,34506910,34726854,34912669,34939500,35089652,35115217,35219016,35309605,35398622,35547726,36443905,36520288,36675709,36698660,37188174,37268800,37461414,37992134,38258449,38709505,38826894,38922488,38955333,39099846,39621393,39741397,39829249,39840805,40066945,40156275,40463886,40511149,40674212,40759250,41085324,41157272,41408292,41743461,41927400,42100405,42371526,42777505,42833360,42969217,43382437,43728501,43732686,43787799,44018293,44038392,44084846,44153470,44305981,44581345,44688422,44722560,44758429,44916933,45025460,45082982,45294109,45708141,46301931,46451406,46832545,46893333,47143237,47168325,47496541,47704064,47798180,47808966,48080334,48187530,48911100,49292120,49528705,49543191,50044341,50201845,50312880,50520486,50569460,51322945,51333006,51400032,51552622,51592909,52006701,52171840,52219105,52393870,52812326,52984164,53497614,53667072,54030552,54724717,54744933,54934741,55453635,55772269,55849621,55915221,56199054,56601990,56617693,56825444,56913445,57357816,57359605,57647854,57825036,57861381,57873070,58227500,58517966,58693320,59130973,59135942,59150544,59382488,59434446,59588005,59696173,59871457,60242214,60282877,60375456,60683352,60784371,61140013,61587534,61590145,61974910,62121566,62606208,62662926,62872644,63649333,64299949,64358557,64404260,64527543,64698145,64705870,64919845,65018247,65194081,65230657,65297595,65618084,65668909,66029985,66544362,66657613,66805299,66911684,67355905,67511181,67543933,67922388,67985924,68240545,68268771,68277333,68296134,68831526,69019909,69042621,69424941,69440593,69447684,69498212,69566305,69650768,69873000,70163269,70228645,70431984,70832653,71131009,71505606,71552245,71656741,71664373,71845837,72450116,72555781,72654145,72785432,73059949,73908174,74164453,74369892,74531200,74605124,74635045,74754741,75008833,75446180,75740595,75937921,76173505,76361377,76517246,76647981,77285112,77402675,77408389,77637774,77647044,77903814,78143917,78148645,78357114,78422029,78607125,78620917,78659053,78770341,79146404,79235982,79311061,79665933,79674670,80748757,80789968,80827086,81883611,81888654,82617171,82670061,82761541,82813069,83104189,83399845,83479566,83610596,83644693,83836405,83847600,84095713,84274374,84361582,84998564,85294597,85504142,85754084,85798945,85862694,85893446,86100757,86459557,86670145,86945751,87150333,87184974,88706149,88868612,89030989,89306462,89437440,89562054,89718241,90167375,90535416,90569437,90888714,91016545,91408206,91666117,91857070,92596669,92883210,92953047,92967205,93183745,93360589,93688717,93740120,93778374,94328550,94464529,94469726,94984894,95218837,95283381,95399936,95588120,95609604,95959393,96166136,96211105,96384333,96566173,96858805,96957035,98002429,98353775,98368705,98599870,99030404,99075424,99195747,99283160,...,1024001097627872509758046776819226548235967162815539040462398063409897738911311256768474569765601992399495845165599343155902838930178773138250870431330671883659206536466541152567472205605607719636975143656301645004140286692762347715932684041739640811173976742897194995071252509623683740541274533685833925873523722232583303369436567232569572651300890614116046271610106339408773013039273654036021125977078689206034794587320863515718156511079369530607934035277760470088533579280787282124073291286522421450355438053787082264150365847011961117433365855043048254084934843236402653303747186377244176331337189765082374701600562609911712004865273071224977879645096944302503957427612173772183585141078616401745557029564334805754914620551924278508257428083756589792714141366139101653360259512172443430962334291157274491905555332347982039178044364143769989169004158901204341494379238863865328715789934688600108710129160858640229027143575349534853455285019157251314245907388302768062607205954244545276445938430135019590399068700820176126622074217975845097256521086716416849864102673133543264898038662879349933140255602619748348355520350912962811474970253447244345319102939447116930856868174513456977688070433164942368847799314150106711235427276509516743268086654141791914965313676306981176528597184038987856721462839601319717708816750278512770475440649712600049307348634744799072775569998336445901772728798869863580890497766963533610691796776786267114454131666816673567604395001197871354506719072094642289857039283998830069133477527154153264995366117417226350705522614148939387473081473805563308669227233807020354611620548616402913220712619239661497656298035909888004236175713567857827424237518172515812475883054609982726211737900033613823144998165173242896153346805699540245113338821840285293871676774789261615674818402430531889515174797202805757797383023110248705584940363963426044765842319001880874662864123663528770492587237632863924870780039306579391771679773559555604999964155277612864518955791080623656165129407229073661415221623754417355799691663062700041310088543145788637181282488675160215898116339537492792331520404087145657385067021187539593659205017477154401226800380600356723403032610631293295910666472248590180705919848024474670952825349561897696427560985992034349705847030624555053738320934207294925642049001010758407961799146147694257893025977211161613473710051485565773460765274515189854413628754763036626314579689602040749689921871595508597048723659234047518626212111565685920530522055408466422624568324617232362844216596086555802932719290906205662398764793484968026531466843792694873123727770558762034408434742614205221240461220805100610302690834571219291513586571987011104240894824011384246144417880277828778538080328190951286311715702224239470775197986653814475619636216098271422123048299932001918417314210570586050868971912888560541973655718387582002088038952565283988092072986266439030330679292997952983117509214319586199171681766769369523597743425774838739408075557226209424545907587111461908068280473410031378231073824221211414954323509838358665521817095311158891820963475418383077569691196254736335648178394895693980894221650537260482004279992798547646965043262024085569138249822726340955880582461976630824251655478023791188841707892178013789847867460871571333218954768068020887016126308981693792881607757029655626598874326197606614176562273887847635146852253757068458610403234882475756537025941767042771953276717565511939627223151221655324139201772690412223431282479609772938569034895874099120290643471342173688686554986109869990046738265755566562139416665546979556735914908286207445532492139514828088723917317965810243604281021454372500074576980106800129997587315666586341437526920576366751094}
23316  64866777587518411323744319880307557855903975066768052447879765170734432885044: {116555,139866,442643,535739,792098,861323,1071386,1093643,1770268,2067203,2422888,2483363,2621939,2725749,2945003,3167848,3451883,3540232,3563829,3635963,3844005,3982761,4002268,4003739,4100272,4600283,4612806,5243426,5286923,5673244,5707765,5773192,5926163,5939205,6062939,6335152,6358989,6381803,6494841,6849318,7127046,7199939,7570225,7632232,8105939,8153950,8454633,8557739,8586261,8693123,8967805,9084270,9108098,9368963,9562108,9689888,9784740,10043003,10116508,10126365,10437056,10446563,10481498,10580939,10597405,10755746,10761366,10801456,10901124,10974472,11385683,11577626,11608763,11648500,11741688,11851298,12151638,12346281,12454643,12553849,12716886,12811150,12884188,13120403,13209399,13490306,13607483,13784363,13978200,14005283,14049443,14307866,14666843,14910080,15139150,15238739,15326603,15373380,15422728,15725475,15978998,16210466,16398272,16746844,16771739,16773840,17350569,17425739,17668761,17892096,17934070,18080013,18166980,18448056,18752872,18870570,19376939,19378112,19808339,19861768,20128608,20182893,20231272,20263706,20324963,20582843,20754063,20970088,21070466,21096981,21183443,21520884,21523825,21611483,21800376,22240444,22344489,22507763,22592939,22644684,22760181,22827140,22947866,23018339,23145803,23591349,23782043,24162923,24525423,24922739,24976444,25397608,25617626,25620100,25763939,25828590,26068828,26235433,26267123,26392739,26681498,26947106,27019739,27311723,27392568,27550496,27561683,27976072,28008098,28132221,28143803,28185323,28392803,28572309,28682939,28749565,29014043,30127739,30650498,30744120,30816639,30919048,30994308,31153739,31473081,31703426,31766939,31955252,32056348,32610200,32703683,32793728,33123592,33540506,33595739,33717083,33919163,34057177,34322723,34499478,34587135,34783929,34848386,35692648,36012613,36088883,36128843,36686475,36727283,36892944,37237605,37264041,37479190,37681043,37799939,37918763,38472323,38533593,38991112,39132240,39181739,39526946,39673645,39720112,40154229,41187208,41333339,41504562,41741056,42284392,42363098,42496739,42574043,42612683,42689939,43130605,43275661,43383803,43390106,43674375,43862065,43865001,43960043,44023770,44111752,44343203,44685126,44975028,45107123,45259523,45563939,45650360,45873325,45947546,46302472,46335609,46586000,46958688,47276733,47396968,47569941,47608374,48205739,48280643,48653110,48953339,49400363,49584232,49625721,49772003,49948552,50188089,50512883,50842765,50882123,51287363,51356655,51434483,51446590,51756726,51760365,51769192,51940444,51959677,52090281,52133128,52278146,52409250,52634478,52825739,52828524,53080763,53097933,53321589,53541700,53951848,54024563,54034586,54780432,55047990,55211056,55250603,55466003,55657948,55782261,55903200,56192121,56281825,56282498,56495368,56531546,56609939,56859083,56988201,57277826,58028339,58098923,58240341,58304668,58310248,58383732,58649769,58717856,59363963,59503883,59630080,59678603,59747725,59889244,60201563,60305939,60410243,60695829,60944188,60944422,61011318,61138875,61276643,61615150,61627986,61735908,61935208,62103683,62112438,62378339,62524444,62710946,62891100,63211825,63446426,63557289,63687253,63745288,63811883,63845843,64107112,64151123,64250040,64421939,64523363,65157506,65214800,65264939,65599029,65888666,66057588,66127269,66230205,66370043,66436739,66725788,66769739,67032633,67083840,67360648,67532603,67538190,67624473,68444008,68521283,68533376,68750939,69342268,69525026,69677109,69990803,70007426,70282763,70645552,70691222,71031805,71090363,71251283,71330152,71556096,71697270,71713449,72040736,72120501,72171098,72281295,72784375,72881243,72993244,73103339,73198403,73235734,73366650,73368098,73938180,74228110,74553628,74678339,74897243,74932072,74990939,75469320,75551603,75780729,75854190,76171523,76387739,76477088,76531741,76999509,77100048,77148508,77328933,77371163,77676803,77883866,78012083,78133763,78257760,78356186,78467723,78590805,78867392,79218489,79245928,79283339,79299098,79476246,79583939,79673963,79943603,80246421,80322952,80500608,80505325,80718923,80911136,80926739,81045828,81646298,81880226,82022605,82116712,82311923,82581146,82604363,82674757,83186843,83474944,83550568,83639605,83830192,83910443,84054563,84145369,84211586,84298581,84857939,84902985,84943643,84982405,85000739,85140098,85238166,85626683,86036724,86051243,86135939,86471781,86614523,86690996,86737554,86809605,86872765,87063460,87202523,87341250,87421633,87776949,87814739,87897923,87953339,88039980,88601498,88703913,88725816,88780739,88863083,89054939,89073732,89151669,89927003,90014908,90089603,90278939,90363321,90494843,90562645,90563184,90737123,90981790,91025028,91036444,91061512,91406723,91619939,91699763,91775368,92056828,92362163,92381301,92566588,92596912,92730923,92888483,92962365,93164000,93166298,93182349,93256405,93393026,93515843,93775883,93909312,93994389,94061003,94164443,94307725,94308966,94551203,95140739,95340808,95522939,96552098,96583523,96606390,96658739,96833963,96908939,97058805,97704203,97728923,97897346,98319803,98427126,98544232,98568026,98833043,98933005,99159856,99672988,99776843,99816543,99896963,99920963,...,1536001646441808764637070165228839822353950744223308560693597095114846608366966885152711854648402988599243767748399014733854258395268159707376305646996007825488809804699811728851208308408411579455462715484452467506210430039143521573899026062609461216760965114345792492606878764435525610811911800528750888810285583348874955054154850848854358976951335921174069407415159509113159519558910481054031688965618033809052191880981295273577234766619054295911901052916640705132800368921180923186109936929783632175533157080680623396225548770517941676150048782564572381127402264854603979955620779565866264497005784647623562052400843914867568007297909606837466819467645416453755936141418260658275377711617924602618335544346502208632371930827886417762386142125634884689071212049208652480040389268258665146443501436735911737858332998521973058767066546215654983753506238351806512241568858295797993073684902032900163065193741287960343540715363024302280182927528735876971368861082454152093910808931366817914668907645202529385598603051230264189933111326963767645884781630074625274796154009700314897347057994319024899710383403929622522533280526369444217212455380170866517978654409170675396285302261770185466532105649747413553271698971225160066853140914764275114902129981212687872447970514460471764792895776058481785082194259401979576563225125417769155713160974568900073961022952117198609163354997504668852659093198304795371335746650445300416037695165179400671681197500225010351406592501796807031760078608141963434785558925998245103700216290731229897493049176125839526058283921223409081209622210708344963003840850710530531917430822924604369831068928859492246484447053864832006354263570351786741136356277258773718713824581914974089317606850050420734717497247759864344230020208549310367670008232760427940807515162183892423512227603645797834272762195804208636696074534665373058377410545945139067148763478502821311994296185495293155738880856449295887306170058959869087657519660339333407499946232916419296778433686620935484247694110843610492122832435631626033699537494594050061965132814718682955771923733012740323847174509306239188497280606130718486077600531781309390488807526215731601840200570900535085104548915946939943865999708372885271058879772036712006429238024342846544641341478988051524558770545936832580607481401310942388463073501516137611942698719221541386839538965816742420210565077228348660191147911772784781620443132144554939471869534403061124534882807393262895573085488851071277939318167348528880795783083112699633936852486925848544266324894129833704399078936359308493598147190227452039797200265689042309685591655838143051612652113921307831860691831207650915454036251856828937270379857980516656361342236017076369216626820416743167807120492286426929467573553336359206162796979980721713429454324147407133184572449898002877625971315855879076303457869332840812960483577581373003132058428847925982138109479399658545496018939496929474676263821479379298757522650154054285396615138662258109112113335839314136818861380667192862102420710115047067346610736331817122431485264757537998282725642966738337731445213127574616354536794382104503472267592343540971341332475805890723006419989197821470447564893036128353707374734089511433820873692964946236377483217035686783262561838267020684771801191307356999828432152102031330524189463472540689322411635544483439898311489296409921264843410831771452720278380635602687915604852323713634805538912650564157929915076348267909440834726832482986208802659035618335146923719414659407853552343811148680435965207013260533029832479164804985070107398633349843209124998320469335103872362429311168298738209272242133085875976948715365406421532181558750111865470160200194996380973499879512156290380864550126641}
23317  65098040293058472952205958931660785023412502468825449145170826286471711230399: {186488,209799,1188147,1607079,2120027,2212835,2655402,2771867,3028610,3097703,3330899,3587738,3634332,3936179,3959810,4425290,4751772,5002835,5051543,5125340,5310348,5543258,5636906,6003402,6150408,6661226,6678203,6919209,7091555,7216490,7865139,7918940,8403719,8478652,8509866,8659788,9132424,9451274,9470483,9502728,9540290,9602663,10273977,10690569,11272844,11448348,11952635,12112360,12230925,12262763,12645635,12821219,13046320,13494887,13501820,13626405,13662147,13718090,13920842,14343162,14348488,14534832,14560625,14677110,15038234,15174762,15655584,15722247,16019939,16105235,16133619,16142049,16202184,16351686,16408763,16461708,16955848,17366439,17379047,17472750,17612532,17702363,17776947,18227457,18348827,18637600,19075329,19216725,19278410,19326282,20184263,20235459,20497840,20763143,20933555,20967300,21461799,22222907,22365120,22708725,22943234,22995239,23060070,23134092,23441090,23558348,23856128,23968497,24106684,24222640,24315699,24479063,24597408,24618602,24764003,24827210,24948323,25120266,25160760,25289090,26212610,26288999,26838144,26901105,26910524,27054167,27110666,27250470,27672084,27800555,27813203,28129308,28305855,28533925,28694512,28824707,28983143,29067168,29792652,30192912,30346908,30395559,30465539,31066139,31220555,31231067,31333223,31455132,31605699,31747010,32025125,32267027,32281326,32586035,32700564,33360666,33967026,34117223,34240710,34421799,34438120,34755098,34970090,35422343,35792807,36038807,36523424,36998843,37155098,37464666,37509628,38096412,38261747,38426439,38430150,38597783,38648810,38742885,39103242,39246419,39463619,39944065,40022247,40070435,40420659,40514663,40617947,40762750,40992160,41088563,41088852,41260427,41325744,41404490,41472347,41495399,41964108,42012147,42482183,42759443,43386203,43704983,43851386,44515043,44615810,45298043,45548147,45616487,45975747,45999304,46116180,46378572,46491462,46941767,47207867,47555139,47932878,48024419,48084522,48309674,48738890,48915300,49190592,49433447,49650140,49685388,50030507,50310759,51021467,51378124,51484010,51557066,51749217,51752507,52021619,52176320,52272579,52573466,52855490,53171819,53538972,54193307,54605738,55139690,55339416,55777127,56069978,56093723,56218785,57062950,57662663,57878090,58232500,58486668,58698360,58940567,59246210,59290419,59580168,59701319,59888507,59966704,60925826,60970043,61162919,61768667,61780812,61814858,61980290,62256843,62413883,62435690,62611584,63035644,63426588,63477832,63544647,63755123,64000523,64711490,64925555,65085159,65166410,65565563,66035655,66167628,66540203,66784586,66911819,66917452,66927125,67027689,67439810,67462542,67670807,67816523,68129282,68475540,68921319,69008968,69013820,69340187,69446579,69453708,69572435,69729323,69825338,69879000,69882059,70169363,70179304,70230434,70282583,70438032,70619210,70797244,70838759,71095452,71237987,71412561,71852123,72256379,72827939,72880835,72887810,72979665,73040576,73066247,73106747,73351418,73394663,73397320,74376348,74537600,74861555,74922828,75015299,75135083,75221939,75984268,76180235,76516898,77169885,77419010,77635089,77653788,77844976,77910666,78155555,78199692,78417219,78613875,78777179,78951717,79164899,79242786,79482794,79499363,79588907,79658498,79678823,79681610,80133890,80303447,80312550,80375639,80927772,81022298,81051879,81175019,81348424,81518500,82170648,82314544,82372547,82571985,82816584,82920227,83407235,83423207,83486003,83486922,83854800,84200810,84423747,84694259,84743052,84797319,85555010,85666720,85916739,85938434,86226203,86677835,86718119,86764874,87337319,87457002,87465372,87575598,87648899,88036586,88076784,88169692,88306940,88611962,89162690,89376844,89445120,89516858,89815403,89833866,90050920,90165964,90577403,90588218,90887783,91176983,91241555,91416282,91416633,91516977,91741907,92422725,92441979,92555783,92603862,92902812,92960699,93168657,93192035,93665090,93786666,94066419,94286474,94298267,94336650,94472723,94773443,94993082,95169639,95408128,95536763,95596360,95617932,96160668,96375060,96435635,96861227,97392827,97736259,97822200,97859579,98320103,98584240,98832999,98852819,99057410,99086382,99505223,...,2048002195255745019516093553638453096471934325631078080924796126819795477822622513536949139531203984798991690331198686311805677860357546276501740862661343767318413072933082305134944411211215439273950287312603290008280573385524695431865368083479281622347953485794389990142505019247367481082549067371667851747047444465166606738873134465139145302601781228232092543220212678817546026078547308072042251954157378412069589174641727031436313022158739061215868070555520940177067158561574564248146582573044842900710876107574164528300731694023922234866731710086096508169869686472805306607494372754488352662674379530164749403201125219823424009730546142449955759290193888605007914855224347544367170282157232803491114059128669611509829241103848557016514856167513179585428282732278203306720519024344886861924668582314548983811110664695964078356088728287539978338008317802408682988758477727730657431579869377200217420258321717280458054287150699069706910570038314502628491814776605536125214411908489090552891876860270039180798137401640352253244148435951690194513042173432833699728205346267086529796077325758699866280511205239496696711040701825925622949940506894488690638205878894233861713736349026913955376140866329884737695598628300213422470854553019033486536173308283583829930627352613962353057194368077975713442925679202639435417633500557025540950881299425200098614697269489598145551139996672891803545457597739727161780995533927067221383593553572534228908263333633347135208790002395742709013438144189284579714078567997660138266955054308306529990732234834452701411045228297878774946162947611126617338454467614040709223241097232805826441425238479322995312596071819776008472351427135715654848475036345031624951766109219965452423475800067227646289996330346485792306693611399080490226677643680570587743353549578523231349636804861063779030349594405611515594766046220497411169880727926852089531684638003761749325728247327057540985174475265727849741560078613158783543359547119111209999928310555225729037911582161247312330258814458147322830443247508834711599383326125400082620177086291577274362564977350320431796232679074985584663040808174291314770134042375079187318410034954308802453600761200713446806065221262586591821332944497180361411839696048949341905650699123795392855121971984068699411694061249110107476641868414589851284098002021516815923598292295388515786051954422323226947420102971131546921530549030379708827257509526073252629159379204081499379843743191017194097447318468095037252424223131371841061044110816932845249136649234464725688433192173111605865438581812411324797529586969936053062933687585389746247455541117524068816869485228410442480922441610201220605381669142438583027173143974022208481789648022768492288835760555657557076160656381902572623431404448478941550395973307628951239272432196542844246096599864003836834628421141172101737943825777121083947311436775164004176077905130567976184145972532878060661358585995905966235018428639172398343363533538739047195486851549677478816151114452418849091815174222923816136560946820062756462147648442422829908647019676717331043634190622317783641926950836766155139382392509472671296356789791387961788443301074520964008559985597095293930086524048171138276499645452681911761164923953261648503310956047582377683415784356027579695734921743142666437909536136041774032252617963387585763215514059311253197748652395213228353124547775695270293704507514136917220806469764951513074051883534085543906553435131023879254446302443310648278403545380824446862564959219545877138069791748198240581286942684347377373109972219739980093476531511133124278833331093959113471829816572414891064984279029656177447834635931620487208562042908745000149153960213600259995174631333172682875053841152733502188}
23318  65330122095121634542869456940248140198019878610722390396553975646328286310380: {163177,233110,279732,885286,1071478,1557817,1584196,1722646,2142772,2187286,2529781,3498217,3540536,3983103,4134406,4542915,4845776,4966726,5243878,5381607,5451498,5890006,5939715,6335696,6382357,6406675,6637935,6903766,7064377,7080464,7127658,7271926,7688010,7965522,7990871,8004536,8007478,8200544,8314887,8455359,9005103,9099637,9200566,9225612,9898675,9991839,10447477,10486852,10573846,10598315,10824735,11346488,11415530,11546384,11852326,11878410,12125878,12322357,12554927,12670304,12717978,12763606,12764799,12989682,13121557,13652917,13698636,14050681,14091055,14176911,14254092,14310435,14399878,14836367,15140450,15264464,16211878,16307900,16877275,16909266,16947817,17115478,17172522,17340181,17386246,17731897,17935610,18168540,18216196,18737926,19124216,19379776,19569480,19680757,20086006,20233016,20252730,20577135,20874112,20881263,20893126,20962996,20970997,21161878,21194810,21511492,21514743,21522732,21602912,21802248,21948944,22015665,22557351,22762143,22771366,23147881,23155252,23217526,23297000,23483376,23702596,24303276,24527529,24692562,24909286,25051381,25107698,25433772,25622300,25768376,25934137,26209125,26240806,26418798,26980612,27214966,27568726,27956400,28010566,28098886,28187881,28436857,28615732,28917615,28989423,29058037,29182057,29333686,29447935,29820160,30133355,30278300,30294997,30477478,30653206,30746760,30845456,31450950,31647337,31892281,31957996,32420932,32796544,33355897,33493688,33543478,33547680,33638155,34083817,34325881,34414851,34590105,34701138,34851478,35161635,35337522,35784192,35868140,35892277,36132181,36160026,36333960,36896112,36927903,37240815,37505744,37565557,37680399,37741140,37922281,37933635,38515381,38752117,38753878,38756224,39318915,39342697,39616678,39723536,40249391,40257216,40365786,40462544,40527412,40649926,40665999,40875705,41165686,41508126,41940176,42140932,42193962,42366886,42616681,43041768,43047650,43222966,43600752,44480888,44688978,45015526,45149497,45185878,45289368,45520362,45654280,45720277,45895732,46036678,46061881,46291606,46887035,47182698,47421817,47564086,47620515,47884903,48097897,48325846,48421989,49050846,49665337,49845478,49952888,49999381,50040999,50795216,50950539,51143963,51235252,51240200,51361065,51527878,51657180,52132647,52137656,52455135,52470866,52534246,52785478,53362996,53894212,54039478,54623446,54785136,55100992,55123366,55255957,55543103,55732647,55793977,55952144,56008681,56016196,56196999,56264442,56287606,56370646,56785606,56864617,57144618,57365878,57397237,57499130,57645225,57973215,58028086,58654863,58984297,60255478,60382847,60450937,61144125,61300996,61406891,61488240,61633278,61800181,61838096,61988616,62062675,62106735,62307478,62946162,63406852,63533878,63852181,63910504,64112696,64222655,64664917,64867381,65220400,65407366,65573737,65587456,65777079,66176377,66247184,66923715,67081012,67191478,67434166,67572457,67838326,68114354,68645446,68659477,68998956,69174270,69346681,69567858,69640117,69696772,69737193,70030357,70322281,71179871,71385296,71483497,71579797,71899317,72025226,72126783,72177766,72257686,72464511,72729781,72790625,73108335,73372950,73454566,73785888,74475210,74528082,74904937,74958380,75362086,75372757,75559381,75599878,75837526,76210297,76944646,77067186,77226015,77335599,77982224,78050617,78264480,78363478,78778681,78794555,78860199,78959977,79053892,79283235,79347290,79440224,79951957,80308458,80757097,81908607,82349881,82374416,82666678,82709535,83009124,83482112,83646815,84104967,84568784,84726196,84993478,85148086,85225366,85379878,85550677,85594425,86261210,86267275,86551322,86651881,86767606,86780212,86817135,86904277,87348750,87724130,87730002,87920086,88047540,88223504,88496555,88686406,88869315,88900117,89370252,89719477,89950056,90214246,90446603,90519046,90935017,91127878,91300720,91388739,91736377,91746650,91895092,92401199,92604944,92671218,92722287,92924917,92970435,93003577,93160681,93172000,93653535,93917376,94174837,94553466,94793936,94980335,95139882,95216748,96090937,96411478,96561286,96844777,97067235,97218997,97306220,97706531,97739881,97749615,97906678,98330857,98697877,98800726,98844181,98990197,99168464,99251442,99444527,99544006,99897104,99932281,...,3072003292883617529274140330457679644707901488446617121387194190229693216733933770305423709296805977198487535496798029467708516790536319414752611293992015650977619609399623457702416616816823158910925430968904935012420860078287043147798052125218922433521930228691584985213757528871051221623823601057501777620571166697749910108309701697708717953902671842348138814830319018226319039117820962108063377931236067618104383761962590547154469533238108591823802105833281410265600737842361846372219873859567264351066314161361246792451097541035883352300097565129144762254804529709207959911241559131732528994011569295247124104801687829735136014595819213674933638935290832907511872282836521316550755423235849205236671088693004417264743861655772835524772284251269769378142424098417304960080778536517330292887002873471823475716665997043946117534133092431309967507012476703613024483137716591595986147369804065800326130387482575920687081430726048604560365855057471753942737722164908304187821617862733635829337815290405058771197206102460528379866222653927535291769563260149250549592308019400629794694115988638049799420766807859245045066561052738888434424910760341733035957308818341350792570604523540370933064211299494827106543397942450320133706281829528550229804259962425375744895941028920943529585791552116963570164388518803959153126450250835538311426321949137800147922045904234397218326709995009337705318186396609590742671493300890600832075390330358801343362395000450020702813185003593614063520157216283926869571117851996490207400432581462459794986098352251679052116567842446818162419244421416689926007681701421061063834861645849208739662137857718984492968894107729664012708527140703573482272712554517547437427649163829948178635213700100841469434994495519728688460040417098620735340016465520855881615030324367784847024455207291595668545524391608417273392149069330746116754821091890278134297526957005642623988592370990586311477761712898591774612340117919738175315039320678666814999892465832838593556867373241870968495388221687220984245664871263252067399074989188100123930265629437365911543847466025480647694349018612478376994561212261436972155201063562618780977615052431463203680401141801070170209097831893879887731999416745770542117759544073424012858476048685693089282682957976103049117541091873665161214962802621884776926147003032275223885397438443082773679077931633484840421130154456697320382295823545569563240886264289109878943739068806122249069765614786525791146170977702142555878636334697057761591566166225399267873704973851697088532649788259667408798157872718616987196294380454904079594400531378084619371183311676286103225304227842615663721383662415301830908072503713657874540759715961033312722684472034152738433253640833486335614240984572853858935147106672718412325593959961443426858908648294814266369144899796005755251942631711758152606915738665681625920967155162746006264116857695851964276218958799317090992037878993858949352527642958758597515045300308108570793230277324516218224226671678628273637722761334385724204841420230094134693221472663634244862970529515075996565451285933476675462890426255149232709073588764209006944535184687081942682664951611781446012839978395642940895129786072256707414749468179022867641747385929892472754966434071373566525123676534041369543602382614713999656864304204062661048378926945081378644823271088966879796622978592819842529686821663542905440556761271205375831209704647427269611077825301128315859830152696535818881669453664965972417605318071236670293847438829318815707104687622297360871930414026521066059664958329609970140214797266699686418249996640938670207744724858622336597476418544484266171751953897430730812843064363117500223730940320400389992761946999759024312580761729100253282}
23319  65563025875802093649204673997302859728484700088366925544326931951405427078639: {349665,372976,419598,1327929,1607217,1980245,2376294,2583969,2678465,2818937,3097969,3214158,3280929,3936517,4240054,4355417,4425670,5310804,5543734,6057220,6195406,6201609,6661798,7003969,7175476,7268664,7426001,7450089,7865817,7872358,7919620,8177247,8835009,8850580,9102089,9503544,9928177,10005670,10103086,10250680,10355649,10620696,10691487,10907889,11086516,11192389,11273812,11532015,11948283,12006804,12011217,12300816,13108565,13322452,13356406,13705441,13800849,13838418,14183110,14432980,15730278,15837880,15860769,16733689,16807438,16957304,17019732,17123295,17319576,17703889,17778489,17817615,18188817,18264848,18902548,18940966,19005456,19076967,19080580,19145409,19205326,19484523,20384875,20547954,21381138,21599817,22545688,22547329,22710675,22770245,22896696,23854129,23905270,24224720,24317817,24461850,24525526,25291270,25363899,25642438,25673217,25758783,26079369,26092640,26203745,26668897,26889365,26903415,26989774,27003640,27252810,27307577,27324294,27436180,27841684,28106889,28686324,28696976,28944065,29069664,29121250,29266549,29306977,29354220,29628245,30076468,30129009,30349524,30379095,31068817,31311168,31339689,31444494,31742817,31792215,32027875,32039878,32210470,32215849,32267238,32284098,32404368,32703372,32817526,32870149,32923416,33725765,33911696,34157049,34732878,34758094,34826289,34945500,35225064,35404726,35553894,35769665,36454914,36697654,37038843,37275200,37363929,37661547,37847875,37957601,38150658,38433450,38556820,38652564,38920777,39361209,39628197,39836117,39947495,40368526,40470918,40526165,40822449,40995680,41353089,41526286,41862769,41867110,41934600,42015849,42148329,42763129,42923598,43708777,43922257,44000529,44445814,44546069,44730240,44835175,45396529,45417450,45620449,45716217,45886468,45979809,45990478,46120140,46268184,46882180,47116696,47176425,47712256,47936994,48213368,48445280,48568817,48631398,48958126,49040017,49194816,49237204,49528006,49654420,49896646,50240532,50315217,50321520,50578180,50659265,52051707,52277217,52425220,52577998,52676165,53006283,53676288,53802210,53821048,54108334,54221332,54240039,54500940,55344168,55601110,55626406,55916449,55921691,56098609,56258616,56611710,56838841,57067850,57068129,57369665,57389024,57633257,57649414,57966286,58130817,58134336,59425017,59585304,59881781,60385824,60548679,60693816,60791118,60931078,60974889,61748529,62132278,62262189,62441110,62462134,62666446,62687509,62910264,63211398,63290943,63494020,63550329,63660377,64044065,64050250,64534054,64562652,64571475,64834449,65172070,65401128,66703745,66721332,66865129,67033467,67367765,67523289,67778817,67822369,67920581,67934052,68172401,68234446,68280543,68481420,68843598,68876240,69035569,69055017,69437409,69510196,69940180,70020245,70774047,70844686,71176457,71346129,71585614,72077614,72488769,72834217,72974009,73046848,73576269,73997686,74310196,74768217,74929332,75019256,76192824,76523494,76626245,76852878,76860300,77195566,77291817,77297620,77421737,77485770,78206484,78492838,78706299,78800209,78801369,78927238,79178217,79258565,79888130,80044494,80140870,80762681,80841318,81029326,81059217,81235894,81525500,81935169,81984320,82177126,82177704,82520854,82651488,82685049,82808980,82927429,82944694,82990798,83851265,83928216,84024294,84396663,84431409,84555969,84616661,84964366,85178409,85518886,85716927,86048817,86248695,86316037,86772406,87042129,87120965,87409966,87642137,87702772,87981041,89030086,89231620,90383217,90460289,90596086,90895777,91096294,91232974,91951494,91998608,92232360,92449917,92757144,92982924,93456709,93461217,93558517,93697975,93704969,93883534,94415734,94419243,95110278,95172689,95300817,95865756,96048838,96169044,96619348,97138721,97401409,97477780,97830600,98111049,98381184,98817365,98866894,99300280,99370776,...,4608004939325426293911210495686519467061852232669925682080791285344539825100900655458135563945208965797731303245197044201562775185804479122128916940988023476466429414099435186553624925225234738366388146453357402518631290117430564721697078187828383650282895343037377477820636293306576832435735401586252666430856750046624865162464552546563076930854007763522208222245478527339478558676731443162095066896854101427156575642943885820731704299857162887735703158749922115398401106763542769558329810789350896526599471242041870188676646311553825028450146347693717143382206794563811939866862338697598793491017353942870686157202531744602704021893728820512400458402936249361267808424254781974826133134853773807855006633039506625897115792483659253287158426376904654067213636147625957440121167804775995439330504310207735213574998995565919176301199638646964951260518715055419536724706574887393979221054706098700489195581223863881030622146089072906840548782586207630914106583247362456281732426794100453744006722935607588156795809153690792569799333980891302937654344890223875824388462029100944692041173982957074699131150211788867567599841579108332651637366140512599553935963227512026188855906785310556399596316949242240659815096913675480200559422744292825344706389943638063617343911543381415294378687328175445355246582778205938729689675376253307467139482923706700221883068856351595827490064992514006557977279594914386114007239951335901248113085495538202015043592500675031054219777505390421095280235824425890304356676777994735311100648872193689692479147528377518578174851763670227243628866632125034889011522552131591595752292468773813109493206786578476739453341161594496019062790711055360223409068831776321156141473745744922267952820550151262204152491743279593032690060625647931103010024698281283822422545486551677270536682810937393502818286587412625910088223603996119175132231637835417201446290435508463935982888556485879467216642569347887661918510176879607262972558981018000222499838698749257890335301059862806452743082332530831476368497306894878101098612483782150185895398444156048867315771199038220971541523527918717565491841818392155458232801595343928171466422578647194805520601712701605255313646747840819831597999125118655813176639316110136019287714073028539633924024436964154573676311637810497741822444203932827165389220504548412835828096157664624160518616897450227260631695231685045980573443735318354344861329396433664818415608603209183373604648422179788686719256466553213833817954502045586642387349249338098901810557460777545632798974682389501113197236809077925480794441570682356119391600797067126929056774967514429154837956341763923495582075493622952746362108755570486811811139573941549969084026708051229107649880461250229503421361476859280788402720660009077618488390939942165140288362972442221399553717349694008632877913947567637228910373607998522438881450732744119009396175286543777946414328438198975636488056818490788424028791464438137896272567950462162856189845415986774327336340007517942410456584142001578586307262130345141202039832208995451367294455794272613994848176928900215013194335639382723849063610383146313510416802777030622914023997427417672169019259967593464411342694679108385061122124202268534301462621078894838709132449651107060349787685514801062054315403573922070999485296456306093991572568390417622067967234906633450319694934467889229763794530232495314358160835141906808063746814556971140904416616737951692473789745229044803728322504180497448958626407977106855005440771158243978223560657031433446041307895621039781599089497437494414955210322195900049529627374994961408005311617087287933504896214627816726399257627930846146096219264596544676250335596410480600584989142920499638536468871142593650379923}
23320  65796754527268521723641137226390514210564606465044046210690154574658509074946: {326354,466220,535831,559464,629397,675439,954439,1770572,2142956,3037759,3115634,3168392,3445292,3564441,4285544,4374572,4821237,5059562,5379271,5516359,5927191,6063991,6360081,6473959,6638505,6746911,6996434,7081072,7291951,7571525,7966206,7971631,8242999,8268812,8315601,8784871,8969345,9085830,9293109,9595519,9691552,9899525,9933452,9992697,10134511,10269079,10487756,10537999,10672351,10763214,10902996,11063225,11476951,11610799,11780012,11808537,11879430,12671392,12764714,12813350,12945319,13275870,13477111,13609879,13807532,13858145,14092265,14128754,14160928,14255316,14537239,14543852,14837641,15008505,15154629,15329311,15376020,15461071,15855919,15931044,15981742,16009072,16014956,16401088,16629774,16653065,16910718,18010206,18041225,18199274,18211399,18401132,18451224,18861559,19727477,19797350,19898071,19983678,20034609,20414599,20757627,20801239,20894954,20973704,21147692,21196630,21274665,21315751,21649470,21700879,21829111,22596991,22692976,22831060,23092768,23362279,23595417,23616799,23628185,23704652,23756820,23850725,24251756,24251839,24644714,25109854,25211157,25340608,25435956,25527212,25529598,25768591,25979364,26243114,26271871,27149839,27305834,27397272,28101362,28182110,28273471,28353822,28397959,28411449,28508184,28620870,28770991,28799756,28807989,29672734,30280900,30528928,30821931,30872599,31241311,31486759,32071707,32343559,32423756,32615800,32709679,33754550,33804151,33818532,33895634,34230956,34295225,34345044,34409671,34680362,34772492,34802105,34892791,35133919,35463794,35495071,35857905,35871220,36337080,36432392,36692775,36788289,36933199,37171879,37410271,37475852,37595585,37936905,38248432,38463657,38759552,39138960,39361514,40172012,40466032,40484661,40505460,40717519,40879215,40951591,40986441,41154270,41227109,41748224,41762526,41786252,41925992,41941994,42117631,42186697,42233839,42323756,42389620,42582031,42697951,43022984,43029486,43045464,43205824,43604496,43681875,43897888,44031330,44542879,45114702,45115639,45344239,45524286,45542732,46295762,46310504,46435052,46594000,46709791,46966752,47093417,47166741,47405192,48059817,48196025,48289831,48315705,48400857,48426147,48514399,48606552,49055058,49074559,49226289,49385124,49409791,49818572,49855759,50102762,50189479,50215396,50522551,50633431,50867544,50965639,51076231,51244600,51536752,51868274,52099317,52137141,52418250,52481612,52616959,52837596,52945279,53107089,53330841,53518421,53961224,54429932,54682371,54901591,55046481,55137452,55548511,55912800,56021132,56197772,56375762,56591249,56873714,57047911,57225987,57231464,57358085,57650175,57835230,57978846,58110271,58116074,58216111,58364114,58602725,58667372,58849639,58895870,59375599,59640320,59690311,60266710,60317791,60552789,60556600,60589994,60706377,60954956,61306412,61357831,61493520,61546505,61690912,62068025,62289429,62493559,62800665,62901900,63006919,63222725,63294674,63314071,63784562,63915992,64231639,64385397,64434751,64841864,65345191,65531525,65593088,65641849,66049279,66450031,66550039,66668721,66711794,66849631,66987376,67048999,67086956,67095360,67248079,67276310,67776665,67843591,68126175,68167634,68651762,68829702,68830351,68985717,69180210,69402276,69702956,69809911,70296991,70323270,70675044,70685359,70879111,71362231,71568384,71736280,71784554,71905491,71939599,72264362,72320052,72667920,72947097,73437189,73561399,73656151,73792224,73845439,73855806,74292009,74481630,74844969,74975119,75011488,75131114,75162391,75360798,75482280,75844562,75867270,76001551,76187239,76465231,77030762,77295319,77504234,77507756,77512448,77570719,78637830,78685394,78866997,79233356,79367525,79390159,79447072,79660591,80498782,80514432,80703315,80731572,80914039,80925088,81054824,81162501,81299852,81331998,81535471,81623959,81650921,81751410,82331372,82855231,83016252,83378599,83401665,83439609,83552479,83880352,83985919,84281864,84387924,84417559,84733772,84917565,84933151,85018831,85233362,85360831,85601775,86083536,86095300,86445932,86474121,86801479,86887745,86949429,87201504,87425225,87555751,87972271,88882279,88961776,89128951,89377956,89911717,89946511,90031052,90298994,90371756,90514519,90578736,91040724,91159351,91186677,91308560,91396617,91440554,91719799,91791464,92073356,92123762,92276719,92583212,92751271,92887745,93198417,93661665,93693201,93774070,93848479,93999669,94081759,94365396,94623559,94817097,94843634,95008399,95128172,95161831,95238439,95241030,95769806,95924671,96075375,96195794,96529759,96622025,96651692,96755479,96801081,96843978,96980551,97758105,97800271,98101692,98390959,98904031,99122839,99330674,99690956,99703159,99847519,99905776,99998762,...,6144006585767235058548280660915359289415802976893234242774388380459386433467867540610847418593611954396975070993596058935417033581072638829505222587984031301955239218799246915404833233633646317821850861937809870024841720156574086295596104250437844867043860457383169970427515057742102443247647202115003555241142333395499820216619403395417435907805343684696277629660638036452638078235641924216126755862472135236208767523925181094308939066476217183647604211666562820531201475684723692744439747719134528702132628322722493584902195082071766704600195130258289524509609059418415919822483118263465057988023138590494248209603375659470272029191638427349867277870581665815023744565673042633101510846471698410473342177386008834529487723311545671049544568502539538756284848196834609920161557073034660585774005746943646951433331994087892235068266184862619935014024953407226048966275433183191972294739608131600652260774965151841374162861452097209120731710114943507885475444329816608375643235725467271658675630580810117542394412204921056759732445307855070583539126520298501099184616038801259589388231977276099598841533615718490090133122105477776868849821520683466071914617636682701585141209047080741866128422598989654213086795884900640267412563659057100459608519924850751489791882057841887059171583104233927140328777037607918306252900501671076622852643898275600295844091808468794436653419990018675410636372793219181485342986601781201664150780660717602686724790000900041405626370007187228127040314432567853739142235703992980414800865162924919589972196704503358104233135684893636324838488842833379852015363402842122127669723291698417479324275715437968985937788215459328025417054281407146964545425109035094874855298327659896357270427400201682938869988991039457376920080834197241470680032931041711763230060648735569694048910414583191337091048783216834546784298138661492233509642183780556268595053914011285247977184741981172622955523425797183549224680235839476350630078641357333629999784931665677187113734746483741936990776443374441968491329742526504134798149978376200247860531258874731823087694932050961295388698037224956753989122424522873944310402127125237561955230104862926407360802283602140340418195663787759775463998833491541084235519088146848025716952097371386178565365915952206098235082183747330322429925605243769553852294006064550447770794876886165547358155863266969680842260308913394640764591647091139126481772528578219757887478137612244498139531229573051582292341955404285111757272669394115523183132332450798535747409947703394177065299576519334817596315745437233974392588760909808159188801062756169238742366623352572206450608455685231327442767324830603661816145007427315749081519431922066625445368944068305476866507281666972671228481969145707717870294213345436824651187919922886853717817296589628532738289799592011510503885263423516305213831477331363251841934310325492012528233715391703928552437917598634181984075757987717898705055285917517195030090600616217141586460554649032436448453343357256547275445522668771448409682840460188269386442945327268489725941059030151993130902571866953350925780852510298465418147177528418013889070369374163885365329903223562892025679956791285881790259572144513414829498936358045735283494771859784945509932868142747133050247353068082739087204765229427999313728608408125322096757853890162757289646542177933759593245957185639685059373643327085810881113522542410751662419409294854539222155650602256631719660305393071637763338907329931944835210636142473340587694877658637631414209375244594721743860828053042132119329916659219940280429594533399372836499993281877340415489449717244673194952837088968532343503907794861461625686128726235000447461880640800779985523893999518048625161523458200506564}
23321  66031310951799048588282685374127650017302508155055009090110020035420373995516: {23321,489531,582775,699330,745952,839196,2213215,2655858,2678695,2772343,3214434,3331471,3749851,3960490,4306615,4355791,4673451,4752588,4867819,5147311,5167938,5356930,5468215,5637874,6195938,6428316,6561858,7589343,7873034,7938139,8480108,8710834,8776183,8851340,10172923,10336015,10494319,10494651,10621608,11087468,11949309,12114440,12390812,12403218,12416815,13109695,13323596,13628745,14007938,14350952,14537328,14725015,14852002,14900178,15089899,15520423,15731634,15744716,15839240,16144821,16354494,17259415,17670018,17701160,17819145,18179815,18204178,18351991,19007088,19147071,19220025,19856354,19913805,20011340,20018695,20206172,20501360,20711298,20949151,21193131,21206251,21241392,21382974,21815778,22173032,22384778,22547624,23001415,23064030,23896566,23972613,24013608,24022434,24601632,24944661,25134331,25366077,25785199,26217130,26434615,26644904,26712812,27015309,27298911,27309931,27410882,27601698,27645439,27676836,27817999,28366220,28538825,28833871,28865960,29630815,29696025,29975517,30314695,31342431,31460556,31675760,31721538,31794945,31878343,31909015,32272591,32474205,33467378,33614876,33914608,34039464,34246590,34639152,34921711,35407778,35556978,35635230,35999695,36377634,36529696,36685243,36967071,37645111,37664781,37805096,37851125,37881932,37929691,38010912,38153934,38161160,38290818,38294397,38410652,38467099,38969046,39364671,39839551,40521691,40529695,40624951,40769750,40958751,41095908,41479543,42152043,42195343,42273165,42513691,42530733,42762276,42788695,42931305,43199634,43465615,44509101,44522719,44839025,44858983,45091376,45094658,45421350,45540490,45544939,45793392,46844815,47216071,47508823,47708258,47810540,48449440,48635634,48923700,49051052,49077391,49786783,50077531,50215015,50472271,50582540,50631825,50727798,50843451,51284876,51308443,51346434,51517566,51606271,51761431,52020543,52158738,52185280,52232815,52407490,52904695,52987025,53195691,53337794,53612779,53778730,53806830,53886631,53955943,53979548,54007280,54505620,54615154,54648588,54872360,55683368,55864063,55926493,56213778,56632411,56736631,56928415,57372648,57393952,57399511,57888130,58043815,58134823,58139328,58141039,58242500,58533098,58613954,58708440,59042271,59256490,59886943,60152936,60258018,60653659,60699048,60758190,61731405,62137634,62273215,62622336,62643789,62679378,62769245,62888988,62912991,63485634,63584430,63665899,64011559,64055750,64079756,64420940,64431698,64534476,64544229,64568196,64808736,65170831,65406744,65602015,65635052,65740298,65846832,66046995,67451530,67561399,67672053,67823392,68028271,68037415,68112031,68178319,68286429,68314098,68679259,68921815,69265543,69443643,69465756,69516188,69652578,69802171,69891000,70026415,70247215,70450128,70809452,70922971,71107788,71182639,71250271,71539330,71683051,72574543,72604759,72909828,73334215,73395308,73582587,73746631,74039323,74077686,74183791,74550400,74727858,75148039,75154143,75234991,75323094,75695750,75915202,76193695,76301316,76633015,76866900,77113640,77305128,77428411,77681131,77802411,77841554,78627375,78722418,78939391,79256394,79602631,79672234,79894990,80176591,80317531,80567383,80737052,80769643,80941836,81052330,81644898,81991360,82386751,82706178,83052572,83500399,83725538,83734220,83858695,83869200,84031698,84117631,84296658,84563643,85160911,85310571,85526258,85847196,86752845,86968269,87128695,87174111,87290311,87417554,87500071,87546171,87649771,87844514,88001058,88147279,88343805,88744303,88846171,88891628,89092138,89460480,89661691,89670350,90400065,90793058,90834900,90884991,91240898,91384231,91432434,91772936,91959618,91980956,92240280,92536368,92620891,93385243,93764360,94048699,94110511,94233392,94314871,94352850,94489111,94942011,95424512,95676843,95873988,96236071,96426736,96884695,96890560,97092343,97137634,97262796,97916252,98028343,98078959,98080034,98367151,98389632,98474408,99041695,99056012,99308840,99793292,99875023,...,9216009878650852587822420991373038934123704465339851364161582570689079650201801310916271127890417931595462606490394088403125550371608958244257833881976046952932858828198870373107249850450469476732776292906714805037262580234861129443394156375656767300565790686074754955641272586613153664871470803172505332861713500093249730324929105093126153861708015527044416444490957054678957117353462886324190133793708202854313151285887771641463408599714325775471406317499844230796802213527085539116659621578701793053198942484083740377353292623107650056900292695387434286764413589127623879733724677395197586982034707885741372314405063489205408043787457641024800916805872498722535616848509563949652266269707547615710013266079013251794231584967318506574316852753809308134427272295251914880242335609551990878661008620415470427149997991131838352602399277293929902521037430110839073449413149774787958442109412197400978391162447727762061244292178145813681097565172415261828213166494724912563464853588200907488013445871215176313591618307381585139598667961782605875308689780447751648776924058201889384082347965914149398262300423577735135199683158216665303274732281025199107871926455024052377711813570621112799192633898484481319630193827350960401118845488585650689412779887276127234687823086762830588757374656350890710493165556411877459379350752506614934278965847413400443766137712703191654980129985028013115954559189828772228014479902671802496226170991076404030087185001350062108439555010780842190560471648851780608713353555989470622201297744387379384958295056755037156349703527340454487257733264250069778023045104263183191504584937547626218986413573156953478906682323188992038125581422110720446818137663552642312282947491489844535905641100302524408304983486559186065380121251295862206020049396562567644845090973103354541073365621874787005636573174825251820176447207992238350264463275670834402892580871016927871965777112971758934433285138695775323837020353759214525945117962036000444999677397498515780670602119725612905486164665061662952736994613789756202197224967564300371790796888312097734631542398076441943083047055837435130983683636784310916465603190687856342932845157294389611041203425403210510627293495681639663195998250237311626353278632220272038575428146057079267848048873928309147352623275620995483644888407865654330778441009096825671656192315329248321037233794900454521263390463370091961146887470636708689722658792867329636831217206418366747209296844359577373438512933106427667635909004091173284774698498676197803621114921555091265597949364779002226394473618155850961588883141364712238783201594134253858113549935028858309675912683527846991164150987245905492724217511140973623622279147883099938168053416102458215299760922500459006842722953718561576805441320018155236976781879884330280576725944884442799107434699388017265755827895135274457820747215997044877762901465488238018792350573087555892828656876397951272976113636981576848057582928876275792545135900924325712379690831973548654672680015035884820913168284003157172614524260690282404079664417990902734588911588545227989696353857800430026388671278765447698127220766292627020833605554061245828047994854835344338038519935186928822685389358216770122244248404537068602925242157789677418264899302214120699575371029602124108630807147844141998970592912612187983145136780835244135934469813266900639389868935778459527589060464990628716321670283813616127493629113942281808833233475903384947579490458089607456645008360994897917252815954213710010881542316487956447121314062866892082615791242079563198178994874988829910420644391800099059254749989922816010623234174575867009792429255633452798515255861692292192438529193089352500671192820961201169978285840999277072937742285187300759846}
23322  66266698061816367593785965350657891207165093767925105497451849548778817357515: {256421,652708,675497,722021,932440,1000997,1048995,1071662,1118928,1233257,1258794,1350878,1650821,1908878,2622617,3452777,3541144,3774917,3983787,4142597,4285912,4418021,4821651,5151077,5562521,5790821,5940735,6064517,6075518,6201257,6231268,6336784,6474521,6520037,6747497,6890584,7128882,7156421,7751907,8017577,8035395,8243717,8456811,8571088,8695397,8749144,9191321,9293907,9641321,9642474,9842787,10119124,10538921,10583717,10600135,10758542,11032718,11064175,11809551,11854382,12127982,12557083,12720162,12947918,12990821,13066251,13277010,13493822,13655321,13859335,13920617,13992868,14162144,14318021,14582597,14583902,14802857,15143050,15462437,15488515,15857321,15932412,15943262,16032617,16485998,16537624,16631202,16654495,16950821,17430377,17569742,17938690,18171660,18256421,18473321,18586218,18604827,18863237,19166057,19191038,19383104,19401403,19680895,19729171,19770521,19799050,19866904,19985394,20269022,20538158,20975512,21011907,21060521,21075998,21317657,21344702,21526428,21805992,22126450,22278003,22350267,22726757,22953902,22982021,23152037,23221598,23314291,23364377,23406821,23560024,23597451,23617074,23661317,23758860,24296297,24531741,25014175,25055897,25257715,25342784,25518821,25529428,25626700,25770917,25890638,26399897,26505027,26551740,26818217,26954222,27152297,27194021,27219758,27306267,27569177,27615064,27716290,27777317,28184530,28257508,28276037,28321856,28442021,28510632,29021957,29074478,29087704,29675282,29784531,29888921,30017010,30309258,30658622,30752040,30922142,31066947,31285097,31711838,31734821,31862088,31898117,31963484,32018144,32029912,32074461,32142821,32346521,32387237,32723667,32802176,33079459,33199877,33259548,33306130,33391015,33577167,33726377,33821436,34170821,34412837,34596045,34936217,35177321,35457775,35844849,36020412,36033651,36082450,36398548,36422798,36802264,36902448,36936617,37175321,37215077,37413737,37723118,37810457,37929317,38759321,39192677,39325695,39350021,39454954,39594700,39796142,39967356,40069218,40486937,40829198,41116323,41306021,41402547,41515254,41602478,41789908,41947408,42018595,42295384,42393260,42549330,42624677,42631502,42701957,43298940,43396037,43401758,43658222,43665257,44776421,45119897,45158021,45193982,45385952,45386597,45576857,45662120,46070597,46185536,46724558,46865321,47190834,47233598,47256370,47352415,47409304,47513640,47582307,47701450,48013315,48503512,48503678,48519017,48556421,48722947,49079237,49116521,49289428,49897637,50083097,50201067,50219708,50422314,50638277,50681216,50871912,51054424,51059196,51369885,51537182,51559577,51958728,52486228,52543742,52633819,52950377,52986821,53111667,53335467,53452845,53496197,53714021,54299678,54566451,54611668,54794544,54942917,55374437,55876421,56198297,56202724,56364220,56546942,56707644,56795918,56822898,57016368,57230901,57241740,57266537,57436227,57479321,57541982,57599512,57615978,58221797,58453569,58855397,59345468,59763175,60149657,60323717,60428057,60561800,60948677,61057856,61154625,61313815,61643862,61745198,62018921,62482622,62499737,62973518,63047321,63228175,63249043,64106095,64143414,64542617,64687118,64745321,64799451,64847512,65231600,65250821,65385317,65419358,65586821,66055877,66089321,66556697,66590021,66789797,66880567,67055717,67088921,67287977,67474435,67509100,67608302,67637064,67641987,67791268,68132025,68278937,68310735,68461912,68590450,68690088,68738921,68819342,68870057,69360724,69544984,69604210,69785582,69849497,70267838,70336517,70530821,70724837,70927588,70990142,71208617,71369477,71562387,71715810,71742440,72674160,72803125,72864784,72903557,72953451,73220837,73385550,73576578,73695257,73852997,73866398,74343758,74513321,74701337,74820542,74951704,74982821,75014057,75191170,75450521,75574937,75873810,76040357,76091697,76226021,76411397,76496864,76927314,77019651,77119337,77276349,77333957,77487017,77519104,77609321,78036377,78238107,78277920,78401177,78611235,78674021,78723028,78976421,79398437,79698917,80006691,80099695,80301319,80327321,80344024,80526175,80668095,80710245,80922521,80932064,80952197,80969322,81010920,81100457,81366821,81435038,81758430,81903182,81922731,81972882,82043815,82308540,82454218,82513577,82718117,83387417,83496448,83525052,83572504,83590277,83851984,83883988,84167717,84235262,84320667,84373394,84455237,84467678,84647512,84779240,84970757,85164062,85395902,85398377,85994021,86045968,86058972,86090928,86163557,86165107,86411648,86417321,86726597,86832195,86838821,86895235,87208992,87282019,87363750,87795776,87799647,87920931,87926297,88062660,88511815,88672037,88884735,88891877,88919321,89085758,89738921,89874821,90118937,90229404,90231278,90387027,90389417,90688478,90847397,90954821,91048572,91085464,91137285,91196057,91516697,91729817,91744135,91756421,91889321,92591524,92621008,92870104,92919077,93188000,93206451,93419582,93624857,93933504,93962597,94019067,94092137,94186834,94333482,94659737,94810384,94887331,95018921,95172377,95228451,95248997,95274521,95376645,95631017,95935337,96083625,96119634,96162821,96392050,96496543,96579662,96631410,96647547,96691097,96766277,96801714,96852294,96941417,97016357,97028798,97166021,97213104,97290521,97662821,97811237,98110116,98149118,98402021,98452578,98610447,98770248,98819582,98915177,99637144,99711518,99714437,99738521,99882857,...,13824014817976278881733631487059558401185556698009777046242373856033619475302701966374406691835626897393193909735591132604688325557413437366386750822964070429399288242298305559660874775675704215099164439360072207555893870352291694165091234563485150950848686029112132433461908879919730497307206204758757999292570250139874595487393657639689230792562023290566624666736435582018435676030194329486285200690562304281469726928831657462195112899571488663207109476249766346195203320290628308674989432368052689579798413726125610566029938934661475085350439043081151430146620383691435819600587016092796380473052061828612058471607595233808112065681186461537201375208808748083803425272764345924478399404561321423565019899118519877691347377450977759861475279130713962201640908442877872320363503414327986317991512930623205640724996986697757528903598915940894853781556145166258610174119724662181937663164118296101467586743671591643091866438267218720521646347758622892742319749742087368845197280382301361232020168806822764470387427461072377709398001942673908812963034670671627473165386087302834076123521948871224097393450635366602702799524737324997954912098421537798661807889682536078566567720355931669198788950847726721979445290741026440601678268232878476034119169830914190852031734630144245883136061984526336065739748334617816189069026128759922401418448771120100665649206569054787482470194977542019673931838784743158342021719854007703744339256486614606045130777502025093162659332516171263285840707473277670913070030333984205933301946616581069077437442585132555734524555291010681730886599896375104667034567656394774787256877406321439328479620359735430218360023484783488057188372133166080670227206495328963468424421237234766803858461650453786612457475229838779098070181876943793309030074094843851467267636459655031811610048432812180508454859762237877730264670811988357525396694913506251604338871306525391807948665669457638401649927708043662985755530530638821788917676943054000667499516096247773671005903179588419358229246997592494429105491920684634303295837451346450557686195332468146601947313597114662914624570583756152696475525455176466374698404786031784514399267735941584416561805138104815765940940243522459494793997375355967439529917948330408057863142219085618901772073310892463721028934913431493225467332611798481496167661513645238507484288472993872481555850692350681781895085695055137941720331205955063034583988189300994455246825809627550120813945266539366060157769399659641501453863506136759927162047748014296705431672382332636898396924047168503339591710427233776442383324712047068358174802391201380787170324902543287464513869025291770486746226480868858239086326266711460435433418721824649907252080124153687322949641383750688510264084430577842365208161980027232855465172819826495420865088917326664198661152049082025898633741842702911686731120823995567316644352198232357028188525859631333839242985314596926909464170455472365272086374393314413688817703851386488568569536247960322982009020022553827231369752426004735758921786391035423606119496626986354101883367382817841984544530786700645039583006918148171547190831149438940531250408331091868742071992282253016507057779902780393234028084037325155183366372606805602904387863236684516127397348953321181049363056544403186162946210721766212998455889368918281974717705171252866203901704719900350959084803403667689291383590697485943074482505425720424191240443670913422713249850213855077421369235687134411184967512541492346875879223931320565016322313474731934670681971094300338123923686863119344797268492312483244865630966587700148588882124984884224015934851261863800514688643883450179197772883792538438288657793789634028751006789231441801754967428761498915609406613427780951139769}
23323  66502918779922961880010190112826855172029582921192758811152967751298871693389: {46642,815885,979062,1165550,1398660,1491904,1607493,1678392,1888191,2026317,2863317,3098501,3750173,3937193,4426430,4868237,5147753,5311716,5357390,5544686,5752877,6029261,6428868,6662942,7499702,7655501,7789085,7920980,8613230,8711582,9113277,9346902,9381437,9505176,9735638,10294622,10335876,10693323,10713860,10936430,11006237,11275748,12391876,12402377,12648905,12856632,13123716,14463711,14470421,14636201,15178686,15601421,15746068,15876278,16137813,16549077,16590797,16960216,17383541,17421668,17491085,17552366,17702680,17781573,17833517,18191973,18353573,19080243,19421877,19915515,20240733,20345846,20615021,20672030,20988638,20989302,21243216,21875853,22174936,22714575,23413757,23898618,23914893,24163181,24228880,24728997,24781624,24806436,24833630,24946803,25061933,25451741,26219390,26295797,26354613,26647192,26908035,27257490,27820397,27879327,28015876,28026173,28701904,28786557,28993997,29074656,29450030,29552021,29698575,29704004,29800356,29978091,30179798,30403533,30473417,30807237,31040846,31193861,31463268,31489432,31613997,31678480,31911785,32017053,32033375,32201981,32275373,32289642,32708988,32875817,33189675,34076393,34430853,34518830,34832397,35321885,35340036,35402320,35425611,35431517,35638290,36359630,36408356,36703982,37008461,38014176,38271641,38294142,38440050,38835957,38998133,39712708,39827610,39954355,40022680,40037390,40412344,40431333,40628453,40829637,41002720,41271113,41422596,41483141,41574435,41898302,42276795,42386262,42412502,42440573,42482784,42765948,42984041,43611717,43631556,44346064,44512923,44526557,44672621,44769556,45025515,45095248,45130061,45404357,45461117,45463887,45498185,45987933,46002830,46053821,46128060,46383213,47159501,47567757,47793132,47945226,48027216,48044868,49203264,49493375,49889322,49959195,50243453,50268662,50399573,50704541,50732154,51570398,51765893,52237385,52434260,52869230,52934333,52991575,53289808,53425624,53825837,54030618,54123675,54597822,54619862,54634197,54743621,54821764,54953693,55203396,55290878,55353672,55635998,56584677,56732440,56741573,57077650,57667742,57677597,57731920,58000553,59182431,59261630,59392050,59694213,59716757,59904173,59951034,60103827,60303701,60629390,60851861,61161221,61243797,61611785,62272881,62403717,62684862,62774635,62921112,63351520,63360557,63443076,63589890,63756686,63818030,63823995,63947253,64017077,64129253,64545182,64948410,65102637,65253161,65487333,65582741,65607785,66929213,66934756,67229752,67688333,67790973,67829216,68078928,68264585,68493180,68685221,68712137,69278304,69464537,69843422,70086837,70253405,70301021,70455275,70786251,70815556,70850397,70857077,70884555,71113956,71256413,71270460,71552175,71681597,71689277,71999390,72755268,72755517,73059392,73085141,73125941,73370486,73934142,74042477,74066573,74181835,75034697,75154517,75241517,75290222,75329562,75610192,75633471,75702250,75763864,75859382,76021824,76031597,76307868,76322320,76387721,76581636,76588794,76821304,76934198,77020073,77305773,77938092,78729342,78813797,78815613,79609493,79679102,79699781,80574377,81043382,81059390,81166397,81249902,81261341,81449517,81539500,81917502,82191816,82393853,82790093,82959086,83225321,83507597,83569373,84124937,84304086,84386375,84390686,84546330,84716333,84739085,84820413,85027382,85061466,85193877,85234347,85324061,85524552,85577390,85862610,86130461,86312973,86330921,86399268,86423967,86700905,86931230,87182501,87671753,87876943,88154957,88659485,89018202,89045438,89678050,89717966,89749193,90182752,90189316,90842700,91080980,91089878,91586784,91697741,91804973,91842821,92465793,92617797,93689630,93723933,94432142,94460277,94754153,95017646,95252381,95416516,95621080,96215121,96490541,96886313,96898880,97030677,97271268,97794197,97847400,98036981,98102104,98129037,98154782,98346101,98403785,99573566,...,18432019757301705175644841982746077868247408930679702728323165141378159300403602621832542255780835863190925212980788176806251100743217916488515667763952093905865717656397740746214499700900938953465552585813429610074525160469722258886788312751313534601131581372149509911282545173226307329742941606345010665723427000186499460649858210186252307723416031054088832888981914109357914234706925772648380267587416405708626302571775543282926817199428651550942812634999688461593604427054171078233319243157403586106397884968167480754706585246215300113800585390774868573528827178255247759467449354790395173964069415771482744628810126978410816087574915282049601833611744997445071233697019127899304532539415095231420026532158026503588463169934637013148633705507618616268854544590503829760484671219103981757322017240830940854299995982263676705204798554587859805042074860221678146898826299549575916884218824394801956782324895455524122488584356291627362195130344830523656426332989449825126929707176401814976026891742430352627183236614763170279197335923565211750617379560895503297553848116403778768164695931828298796524600847155470270399366316433330606549464562050398215743852910048104755423627141242225598385267796968962639260387654701920802237690977171301378825559774552254469375646173525661177514749312701781420986331112823754918758701505013229868557931694826800887532275425406383309960259970056026231909118379657544456028959805343604992452341982152808060174370002700124216879110021561684381120943297703561217426707111978941244402595488774758769916590113510074312699407054680908974515466528500139556046090208526366383009169875095252437972827146313906957813364646377984076251162844221440893636275327105284624565894982979689071811282200605048816609966973118372130760242502591724412040098793125135289690181946206709082146731243749574011273146349650503640352894415984476700528926551341668805785161742033855743931554225943517868866570277391550647674040707518429051890235924072000889999354794997031561341204239451225810972329330123325905473989227579512404394449935128600743581593776624195469263084796152883886166094111674870261967367273568621832931206381375712685865690314588779222082406850806421021254586991363279326391996500474623252706557264440544077150856292114158535696097747856618294705246551241990967289776815731308661556882018193651343312384630658496642074467589800909042526780926740183922293774941273417379445317585734659273662434412836733494418593688719154746877025866212855335271818008182346569549396997352395607242229843110182531195898729558004452788947236311701923177766282729424477566403188268507716227099870057716619351825367055693982328301974491810985448435022281947247244558295766199876336106832204916430599521845000918013685445907437123153610882640036310473953563759768660561153451889768885598214869398776034531511655790270548915641494431994089755525802930976476037584701146175111785657313752795902545952227273963153696115165857752551585090271801848651424759381663947097309345360030071769641826336568006314345229048521380564808159328835981805469177823177090455979392707715600860052777342557530895396254441532585254041667211108122491656095989709670688676077039870373857645370778716433540244488496809074137205850484315579354836529798604428241399150742059204248217261614295688283997941185825224375966290273561670488271868939626533801278779737871556919055178120929981257432643340567627232254987258227884563617666466951806769895158980916179214913290016721989795834505631908427420021763084632975912894242628125733784165231582484159126396357989749977659820841288783600198118509499979845632021246468349151734019584858511266905597030511723384584384877058386178705001342385641922402339956571681998554145875484570374601519692}
23324  66739976038936452153453701722106264417120567966031300250996900500723812230477: {69963,303043,512842,722083,1305416,1350994,1444042,1468593,1697323,1748325,1864880,2001994,2097990,2143324,2237856,2253019,2466514,2517588,2701756,2946019,3301642,3499123,3637219,3817756,4188883,4464283,5245234,6247363,6520603,6639645,6905554,7066219,7082288,7202443,7549834,7610683,7967574,8036085,8285194,8317029,8571824,8836042,9643302,9901225,9994413,10302154,10584643,11125042,11249553,11581642,11881470,12129034,12151036,12325603,12402514,12459019,12462536,12673568,12919845,12949042,13040074,13067373,13392325,13494994,13781168,13789219,14020353,14094685,14257764,14312842,14603457,14840189,15244123,15441933,15489845,15503814,16035154,16070790,16404645,16487434,16913622,16952323,17083219,17142176,17390794,17498288,18382642,18518323,18587814,19282642,19284948,19403069,19682585,19685574,19686019,19815403,20238248,21077842,21167434,21200270,21517084,21683921,21777085,22065436,22128350,22768029,22771363,23026603,23316293,23408923,23619102,23708764,23814417,24255964,25114166,25440324,25563163,25895836,25941163,25981642,26132502,26328549,26554020,26569723,26820643,26987644,27196483,27310642,27553253,27718670,27841234,27985736,28324288,28569019,28636042,29065963,29165194,29167804,29190019,29605714,30286100,30303283,30518769,30924874,30977030,31000321,31008045,31482957,31483953,31714642,31778563,31864824,31886524,32065234,32390203,32971996,33075248,33262404,33308990,33901642,34093219,34698019,34860754,35019845,35139484,35360801,35847927,35877380,36022243,36343320,36512842,36946642,37130005,37172436,37209654,37218523,37250445,37695019,37726474,38332114,38382076,38762923,38766208,38802806,39329085,39353683,39361790,39458342,39541042,39598100,39733808,39970788,40538044,40886235,41076316,41348803,41951024,42023814,42121042,42151996,42635314,42689404,42860443,43052856,43611984,44175045,44252900,44556006,44700534,44818843,45162283,45269697,45276619,45453514,45510445,45733243,45907804,45964042,46304074,46443196,46529563,46561269,46628582,46728754,46747421,46813642,47120048,47194902,47234148,47322634,47517720,48224083,48434463,48561043,48592594,49063482,49121203,49640885,49791019,50028350,50111794,50515430,50685568,50901619,51037642,51058856,51253400,51454219,51541834,51778245,51781276,52799794,52991923,53010054,53103480,53457435,53636434,53755483,53908444,54190219,54304594,54388042,54439516,54539445,54612534,55055973,55138354,55230128,55379803,55432580,55554634,55917643,55961945,56239483,56369060,56515016,56552074,56643712,56884042,57021264,57307603,57441213,57520363,57660075,58043914,58148956,58175408,58826033,59350564,59527219,59569062,59741415,59777842,60034020,60056085,60468763,60618516,60989323,61317244,61504080,61611619,61844284,62133894,62570194,62847453,63423676,63469642,63579393,63618753,63724176,63769243,63796234,63926968,64036288,64059824,64074883,64148922,64285642,64684219,64693042,64774474,64785457,65290963,65447334,65542825,65604352,66095923,66158918,66293381,66296443,66399754,66519096,66596683,66612260,66782030,67095643,67154334,67218641,67452754,67642872,68285803,68341642,68527205,68680219,68778643,68825674,69004245,69192090,69563443,69872434,70149019,70354642,70537963,70915550,71119219,71601619,71689698,71697883,71917839,72040824,72067302,72164900,72797096,72845596,73038019,73604528,73804896,73873234,74003941,74081083,74350642,74430154,74552323,74748869,74827474,74833983,74928019,75021763,75396019,75402993,75446236,75620914,75858634,75862219,76098231,76419283,77355597,77518642,78074923,78166219,78385354,78651390,78700042,78712483,78909908,78984643,79189400,79303845,79592284,79934712,80138436,80960683,80973874,81045927,81404923,81658396,81896733,81929793,82232646,82612042,82805094,82936317,83030508,83204956,83453997,83579816,83668445,83894816,84037190,84590768,84786520,85098660,85249354,85263004,85403914,85616475,85663219,85839341,86501613,86597880,86792074,86803516,87016243,87316444,87330514,88519445,88681603,88892445,88928923,89088075,89339683,89552842,89748533,89926551,90239794,90316042,90387964,90771904,90773194,90944085,91045219,91153714,91324240,91766443,91925923,92141194,92371072,92955523,93034219,93112843,93449116,93730642,94027293,94206019,94381668,94464209,94467196,94512740,94593019,94704830,94818608,95027280,95164614,95285083,95384835,95402900,95635029,95727045,96026630,96123019,96817773,96952243,97007024,97007356,97038034,97112842,97326283,97422615,97445894,98158474,98233042,98578856,98804443,99749803,99795274,...,27648029635952557763467262974119116802371113396019554092484747712067238950605403932748813383671253794786387819471182265209376651114826874732773501645928140858798576484596611119321749551351408430198328878720144415111787740704583388330182469126970301901697372058224264866923817759839460994614412409517515998585140500279749190974787315279378461585124046581133249333472871164036871352060388658972570401381124608562939453857663314924390225799142977326414218952499532692390406640581256617349978864736105379159596827452251221132059877869322950170700878086162302860293240767382871639201174032185592760946104123657224116943215190467616224131362372923074402750417617496167606850545528691848956798809122642847130039798237039755382694754901955519722950558261427924403281816885755744640727006828655972635983025861246411281449993973395515057807197831881789707563112290332517220348239449324363875326328236592202935173487343183286183732876534437441043292695517245785484639499484174737690394560764602722464040337613645528940774854922144755418796003885347817625926069341343254946330772174605668152247043897742448194786901270733205405599049474649995909824196843075597323615779365072157133135440711863338397577901695453443958890581482052881203356536465756952068238339661828381704063469260288491766272123969052672131479496669235632378138052257519844802836897542240201331298413138109574964940389955084039347863677569486316684043439708015407488678512973229212090261555004050186325318665032342526571681414946555341826140060667968411866603893233162138154874885170265111469049110582021363461773199792750209334069135312789549574513754812642878656959240719470860436720046969566976114376744266332161340454412990657926936848842474469533607716923300907573224914950459677558196140363753887586618060148189687702934535272919310063623220096865624361016909719524475755460529341623976715050793389827012503208677742613050783615897331338915276803299855416087325971511061061277643577835353886108001334999032192495547342011806359176838716458493995184988858210983841369268606591674902692901115372390664936293203894627194229325829249141167512305392951050910352932749396809572063569028798535471883168833123610276209631531881880487044918989587994750711934879059835896660816115726284438171237803544146621784927442057869826862986450934665223596962992335323027290477014968576945987744963111701384701363563790171390110275883440662411910126069167976378601988910493651619255100241627890533078732120315538799319283002907727012273519854324095496028593410863344764665273796793848094337006679183420854467552884766649424094136716349604782402761574340649805086574929027738050583540973492452961737716478172652533422920870866837443649299814504160248307374645899282767501377020528168861155684730416323960054465710930345639652990841730177834653328397322304098164051797267483685405823373462241647991134633288704396464714056377051719262667678485970629193853818928340910944730544172748786628827377635407702772977137139072495920645964018040045107654462739504852009471517843572782070847212238993253972708203766734765635683969089061573401290079166013836296343094381662298877881062500816662183737484143984564506033014115559805560786468056168074650310366732745213611205808775726473369032254794697906642362098726113088806372325892421443532425996911778737836563949435410342505732407803409439800701918169606807335378582767181394971886148965010851440848382480887341826845426499700427710154842738471374268822369935025082984693751758447862641130032644626949463869341363942188600676247847373726238689594536984624966489731261933175400297177764249969768448031869702523727601029377287766900358395545767585076876577315587579268057502013578462883603509934857522997831218813226855561902279538}
23325  66977872781925066397905780295229581331393069591639750529319574505627609575244: {93284,769263,1142239,1631770,1958124,2026491,2166063,2331100,2679155,2797320,2983808,3002991,3146985,3214986,3356784,3377195,3699771,3776382,4052634,4356539,4772195,4952463,5726634,5753371,5892623,6197002,6731099,7500346,7867851,7874386,8852860,9736474,10295506,10358331,10623432,10714780,10904719,11089372,11324751,11476547,11505754,11951361,12058522,12314591,12427791,12857736,13007371,13254063,13325884,14464953,14999404,15188795,15311002,15453231,15578170,15841960,16358107,16687563,17226460,17372463,17423164,17708467,17822205,18193551,18226554,18438043,18603771,18693804,18762874,19010352,19423563,19471276,19560111,20242491,20589244,20671752,21386646,21427720,21469263,21872860,22012474,22551496,23255721,24052731,24106185,24487519,24731151,24783752,24804754,25297810,25370433,25713264,26086191,26247432,26896355,27573963,27581795,27881721,28838843,28923963,28927422,28940842,29272402,29528361,29635955,30319955,30357372,30993583,31076851,31202842,31492136,31616763,31751151,31752556,31800405,31830619,32275626,32369795,32878651,33098154,33181594,33192525,33734555,33920432,34767082,34843336,34863727,34982170,35104732,35405360,35428653,35563146,35667034,36383946,36459755,36707146,37671249,37857625,38160486,38843754,38972463,39198753,39831030,39858155,40481466,40691692,40965963,41214995,41230042,41344060,41578005,41761851,41873611,41977276,41978604,42202619,42486432,42774187,42954063,43747791,43751706,43924355,44349872,44408571,44676499,44846725,45408271,45429150,46387311,46465545,46827514,47571963,47797236,47829786,47977595,48040987,48097851,48242479,48326362,48457760,49450639,49457994,49497625,49563248,49612872,49667260,49893606,49963485,50094539,50123866,50672555,50852463,50903482,51345395,52291131,52423339,52438780,52591594,52689995,52709226,53294384,53361755,53816070,53895923,54427243,54514980,54769263,55316125,55419963,55640794,55758654,55814481,55936097,56031752,56052346,56589711,57384755,57403808,57498171,57573114,57648239,57987994,58053995,58149312,58204209,58661747,58900060,59042685,59104042,59156603,59187513,59311563,59397150,59408008,59600712,59956182,60268211,60359596,60807066,60946834,61184047,61614474,62081692,62387722,62926536,62978864,63035721,63181563,63227994,63356960,63676943,63697459,63823570,63952971,64034106,64066750,64403962,64550746,64579284,64726595,65182139,65417976,65751634,66379350,66834009,67050801,67385555,67839907,68049395,68152786,68180271,68861706,68946063,69037660,69290725,69456111,69664794,69753379,69942873,70093131,70220463,70461325,70643770,70680072,70792353,70804640,70851222,70863034,70983951,71276580,71673871,71955467,72281443,72686195,72719260,72816712,72853051,72888891,73132339,73407964,73595223,74016922,74188205,74196683,75042525,75060899,75167691,75773145,76028352,76543282,76556463,76588284,76646555,76880100,77305355,77312751,77671914,77996266,78693263,78820591,78953003,79199691,79279595,79425416,79515081,79655220,79908710,80045360,80074780,80454651,80824688,80862666,81173443,81256906,81456891,81582063,81659274,81918801,82005440,82542226,82707531,82845192,82966282,83148870,83265325,83331951,83796604,84553590,84723691,84772524,84825004,84828111,84881146,84965568,85326063,85531896,85968082,86256499,86338363,87065871,87223434,87263112,87305363,87884489,88692128,89025846,89053114,89069579,89157563,89345242,89353593,89539112,89666763,90051030,90190496,90206125,90260122,90808714,90922234,90927774,90996370,91056995,91208479,91850899,91975866,92005660,92010707,92107642,92256120,92766426,93200841,93855291,94307795,94319002,94806139,95135514,95204463,95570419,95586264,95694351,95890452,96054432,96089736,96223383,96428463,96999587,97039563,97161711,98171001,98354767,98384219,98406528,98637385,98986750,99238377,99490355,99599631,99778644,99918390,...,41472044453928836645200894461178675203556670094029331138727121568100858425908105899123220075506880692179581729206773397814064976672240312099160252468892211288197864726894916678982624327027112645297493318080216622667681611056875082495273703690455452852546058087336397300385726639759191491921618614276273997877710750419623786462180972919067692377686069871699874000209306746055307028090582988458855602071686912844409180786494972386585338698714465989621328428749299038585609960871884926024968297104158068739395241178376831698089816803984425256051317129243454290439861151074307458801761048278389141419156185485836175414822785701424336197043559384611604125626426244251410275818293037773435198213683964270695059697355559633074042132352933279584425837392141886604922725328633616961090510242983958953974538791869616922174990960093272586710796747822684561344668435498775830522359173986545812989492354888304402760231014774929275599314801656161564939043275868678226959249226262106535591841146904083696060506420468293411162282383217133128194005828021726438889104012014882419496158261908502228370565846613672292180351906099808108398574211974993864736295264613395985423669047608235699703161067795007596366852543180165938335872223079321805034804698635428102357509492742572556095203890432737649408185953579008197219245003853448567207078386279767204255346313360301996947619707164362447410584932626059021795516354229475026065159562023111233017769459843818135392332506075279487977997548513789857522122419833012739210091001952617799905839849743207232312327755397667203573665873032045192659799689125314001103702969184324361770632218964317985438861079206290655080070454350464171565116399498242010681619485986890405273263711704300411575384951361359837372425689516337294210545630831379927090222284531554401802909378965095434830145298436541525364579286713633190794012435965072576190084740518754813016613919576175423845997008372915204949783124130988957266591591916465366753030829162002002498548288743321013017709538765258074687740992777483287316475762053902909887512354039351673058585997404439805841940791343988743873711751268458089426576365529399124095214358095353543197803207824753249685415414314447297822820730567378484381992126067902318589753844991224173589426657256856705316219932677391163086804740294479676401997835395444488502984540935715522452865418981617444667552077052045345685257085165413825160993617865189103751964567902983365740477428882650362441835799618098180473308198978924504361590518410279781486143244042890116295017146997910695190772141505510018775131281701329327149974136141205074524407173604142361510974707629862393541607075875311460238679442606574717258978800134381306300256165473949721756240372461061968848924151252065530792253291733527095624485940081698566395518459479486262595266751979992595983456147246077695901225528108735060193362471986701949933056594697071084565577578894001517728955943790780728392511366417095816259123179943241066453111554159465705708608743880968946027060067661481694109257278014207276765359173106270818358489880959062305650102148453525953633592360101935118749020754444514641572493448316821593751224993275606226215976846759049521173339708341179702084252111975465550099117820416808713163589710053548382192046859963543148089169633209558488838632165298638995367668106754845924153115513758598611705114159701052877254410211003067874150772092457829223447516277161272573721331012740268139749550641565232264107707061403233554902537624477040627637671793961695048966940424195804012045913282901014371771060589358034391805476937449734596892899763100445766646374954652672047804553785591401544065931650350537593318651377615314865973381368902086253020367694325405264902286284496746828219840283342853419307}
23326  67216611962243231936159814899119448093131298947312243817023780176992274015755: {116605,139926,606086,675613,1025684,1094113,1444166,2447655,2610832,2701988,2888084,2913875,2937186,3176893,3394646,3496650,3729760,3867553,4003988,4195980,4286648,4475712,4506038,4822479,4933028,5035176,5243473,5403512,5517793,5664573,5892038,6065569,6078951,6202333,6603284,6998246,7274438,7635512,8109469,8377766,8589951,8787169,8922493,8928566,9295503,9598033,10271773,10490468,10675153,11066075,11250519,11613853,11811579,12494726,12682333,13041206,13279290,13347793,13393475,13613473,13811108,13861715,14011453,14132438,14164576,14404886,14604711,14673313,15099668,15221366,15443259,15465169,15935148,16072170,16570388,16634058,16657355,17143648,17258631,17672084,18087783,18749255,19255933,19286604,19732559,19802450,19988826,20604308,20806813,21169286,21533075,21685783,21778955,21834973,21963169,22250084,22499106,22730833,22966503,23163284,23367255,23368573,23762940,24258068,24302072,24339095,24385213,24651206,24805028,24918038,24925072,25347136,25736555,25839690,25898084,26080148,26134746,26404669,26784650,26906653,26989988,27339831,27341075,27555619,27562336,27578438,27782353,28040706,28144311,28189370,28405693,28515528,28625684,29206914,29680378,30487919,30488246,30883866,30979690,31002983,31007628,31372669,32070308,32079969,32141580,32474593,32809290,32974868,33018711,33205969,33813469,33827244,33904646,33934753,34166438,34284352,34781588,34996576,35023069,36636743,36765284,36943453,37036646,37175628,37207131,37946715,38565284,38569896,38806138,39199969,39365170,39371148,39372038,39630806,39690695,40476496,40846033,41663773,42155684,42245713,42334868,42400540,42709969,43034168,43367842,43391133,43411263,43554170,43880915,43908603,44130872,44256700,44555473,45536058,45542726,46053206,46632586,46804263,46817846,47176093,47238204,47417528,47628834,47740753,48413439,48511928,48528253,49027783,49647231,49772391,50228332,50647969,50864615,50880648,51090913,51126326,51642973,51680075,51791672,51882326,51963284,51982007,52150623,52265004,52471595,52473255,52657098,53108040,53139446,53344719,53500551,53506513,53641286,53975288,54050653,54392966,54484669,54575919,54621284,55025569,55060719,55106506,55437340,55456993,55672273,55682468,55971472,56648576,57064573,57138038,57240729,57272084,57809233,58131926,58233169,58265631,58330388,58335608,58380038,59211428,59707873,59746545,60231133,60439933,60572200,60606566,60722199,60960673,61037538,61845063,61849748,61954060,62000642,62016090,62084075,62965914,62967906,63429284,63557126,63714623,63729648,63773048,64130468,64453969,64555453,64780406,65548475,65627559,65943992,66150496,66524808,66570013,66617980,66869713,67566493,67803284,67864033,67963069,68143725,68186438,69396038,69497239,69721508,69928669,70039690,70241271,70278968,70721602,71287453,71695854,71744679,71754760,72044486,72489543,72686640,73025684,73625075,73678753,73893284,74186991,74260010,74344872,74419308,74437046,74500890,74840409,75185569,75185799,75390038,75449495,75452948,76117969,76355223,76488913,76564631,76664228,76764152,77411233,77525846,77532416,77602115,77605612,78346723,78658170,78707366,78723580,78887391,78916684,79063839,79082084,79196200,79467616,79941576,80724105,81076088,81117469,81649693,81772470,82152632,82697606,82710287,83405053,83461191,83637981,83902048,84047628,84078519,84099133,84242084,84303992,85045969,85270628,85378808,85720886,85899169,86105712,86297075,86359671,86981991,87223968,87459203,88000669,88350090,88505800,88656063,88746193,89095725,89112012,89401068,89637686,89934273,90324566,90539394,90553238,90899075,90907028,91020890,91210599,91269469,91420251,91466486,91759955,91815608,91928084,92148193,92421711,92608148,92886392,93059126,93122538,93257164,93457508,93494842,93581583,93627284,94240096,94389804,94468296,94645268,94732093,94841991,95035440,95270113,95735355,95938087,96051159,96100125,96448166,96605943,96637393,96826119,96868926,97013053,97122086,97185188,98126964,98242406,98276833,98627451,99281770,99569025,99582038,99953533,...,55296059271905115526934525948238233604742226792039108184969495424134477901210807865497626767342507589572775638942364530418753302229653749465547003291856281717597152969193222238643499102702816860396657757440288830223575481409166776660364938253940603803394744116448529733847635519678921989228824819035031997170281000559498381949574630558756923170248093162266498666945742328073742704120777317945140802762249217125878907715326629848780451598285954652828437904999065384780813281162513234699957729472210758319193654904502442264119755738645900341401756172324605720586481534765743278402348064371185521892208247314448233886430380935232448262724745846148805500835234992335213701091057383697913597618245285694260079596474079510765389509803911039445901116522855848806563633771511489281454013657311945271966051722492822562899987946791030115614395663763579415126224580665034440696478898648727750652656473184405870346974686366572367465753068874882086585391034491570969278998968349475380789121529205444928080675227291057881549709844289510837592007770695635251852138682686509892661544349211336304494087795484896389573802541466410811198098949299991819648393686151194647231558730144314266270881423726676795155803390906887917781162964105762406713072931513904136476679323656763408126938520576983532544247938105344262958993338471264756276104515039689605673795084480402662596826276219149929880779910168078695727355138972633368086879416030814977357025946458424180523110008100372650637330064685053143362829893110683652280121335936823733207786466324276309749770340530222938098221164042726923546399585500418668138270625579099149027509625285757313918481438941720873440093939133952228753488532664322680908825981315853873697684948939067215433846601815146449829900919355116392280727507775173236120296379375405869070545838620127246440193731248722033819439048951510921058683247953430101586779654025006417355485226101567231794662677830553606599710832174651943022122122555287155670707772216002669998064384991094684023612718353677432916987990369977716421967682738537213183349805385802230744781329872586407789254388458651658498282335024610785902101820705865498793619144127138057597070943766337666247220552419263063763760974089837979175989501423869758119671793321632231452568876342475607088293243569854884115739653725972901869330447193925984670646054580954029937153891975489926223402769402727127580342780220551766881324823820252138335952757203977820987303238510200483255781066157464240631077598638566005815454024547039708648190992057186821726689529330547593587696188674013358366841708935105769533298848188273432699209564805523148681299610173149858055476101167081946984905923475432956345305066845841741733674887298599629008320496614749291798565535002754041056337722311369460832647920108931421860691279305981683460355669306656794644608196328103594534967370811646746924483295982269266577408792929428112754103438525335356971941258387707637856681821889461088345497573257654755270815405545954274278144991841291928036080090215308925479009704018943035687145564141694424477986507945416407533469531271367938178123146802580158332027672592686188763324597755762125001633324367474968287969129012066028231119611121572936112336149300620733465490427222411617551452946738064509589395813284724197452226177612744651784842887064851993823557475673127898870820685011464815606818879601403836339213614670757165534362789943772297930021702881696764961774683653690852999400855420309685476942748537644739870050165969387503516895725282260065289253898927738682727884377201352495694747452477379189073969249932979462523866350800594355528499939536896063739405047455202058754575533800716791091535170153753154631175158536115004027156925767207019869715045995662437626453711123804559076}
23327  67456196543567290262056422277319707278719759661122743157442138006777844908305: {23327,186568,209889,909129,1282105,1538526,2166249,2284478,3263540,3377485,3610105,3750817,3916248,4052982,4332126,4405779,4662200,4728073,4869073,5004985,5091969,5148637,5244975,5358310,5594640,5893129,5967616,6005982,6166285,6293970,6429972,6681073,6713568,6731677,6754390,6759057,6964009,7399542,7522993,7552764,8105268,8254105,8713078,8838057,9474553,9544390,9904926,10497369,10911657,11453268,11506742,11785246,12030073,12268033,12394004,12566649,12826729,13113085,13392849,13462198,15000692,15735702,15748772,16218493,17263885,17705720,18742089,18874585,19472948,19561809,19569229,19918935,20591012,20712985,20716662,21198657,21246864,21264313,21429560,21607329,21809438,22090105,22178744,22649502,22739233,22832049,22953094,23011508,23320753,23902722,24108255,24117044,24629182,24855582,24951087,25715472,25755385,26014742,26508126,26651768,27316993,27812605,28342969,28841329,28929906,28954105,29703675,29983239,29998808,30322585,30377590,30622004,30906462,31006285,31156340,31683920,31691113,31753929,32372605,32395033,32600185,32716214,32773297,33375126,33737485,33748659,34082269,34452920,34744926,34846328,35416934,35644410,35782105,36387102,36453108,36876086,36976809,37207542,37377057,37387608,37525748,37654897,37970713,38020704,38614513,38759535,38847126,38942552,39120222,39202119,39849853,39995593,40087885,40176975,40484982,41178488,41218585,41343504,41367657,41490337,42061059,42206257,42284055,42447937,42773292,42855440,42938526,42991453,43476985,43745720,43810371,44024948,44041129,44520567,44561437,45102992,45317713,45732369,45956605,46325799,46469535,46511442,47167633,47228377,47824393,48105462,48206605,48212370,48975038,49213935,49462302,49567504,49609508,50595620,50603113,50740866,50856969,51043657,51249657,51426528,52172382,52494864,52694605,52918585,53000675,53792710,53900569,53969917,54963169,55147926,55163590,55320875,55554969,55763442,55801417,56186113,57087817,57677686,57700993,57847926,57854844,57858457,57881684,58156153,58209207,58544804,59047755,59056722,59058057,59202637,59271910,59446209,59449153,59902429,60639910,60714744,61494097,61987166,62153702,62405684,62785415,62984272,63233526,63502302,63505112,63600810,63661238,64551252,64739590,64954105,65051763,65187793,65264413,65331255,65563129,65702977,65757302,66196308,66363188,66385050,66692329,67168633,67469110,67840864,67944013,68129737,68276605,68304087,68314089,69079809,69296675,69534164,69603085,69686672,69727454,69820249,69912349,69948879,69964340,70199833,70209464,70226769,70387633,70810720,70857306,70941577,71126292,71334068,71443251,71590105,71883553,72767892,72912985,72919510,72999217,73300429,73414292,73765993,74014285,74706457,75254569,75342498,75715250,75846877,76320972,76400893,76689489,76917913,77033437,77312185,77442575,77448433,77687508,77823489,77944926,78397506,78959809,78985647,79199329,79286605,79662060,79709169,79716310,80163085,80338657,80461929,80790529,80962932,81275593,81383384,81589449,81931926,82429990,82460084,82659759,82688120,82804369,82856113,83156010,83272475,83523702,83747222,83891593,83954552,83957208,84405238,84645853,84754105,84972864,85548374,85707057,85908126,86145313,86657293,87151885,87197889,87312889,87495582,87503412,87522817,87570057,87686989,87848710,88011433,88699744,88817142,89165329,89352998,89693450,89764669,89854333,90491497,90617233,90816542,90858300,90909849,91282105,91556307,91713553,92038249,92222653,92366605,92774622,92931090,93000963,93001129,93024135,93353929,93655028,93737473,94135129,94316185,94339777,94448871,94451859,95143926,95269153,95335689,95594472,95624353,95659572,95830285,95955190,96081974,96195702,96484958,96652724,96915520,97007015,97170609,97172233,98356273,98392753,98404475,98645855,98852605,98901278,98915988,98995250,99126496,99225744,99334520,99548353,99787212,99926970,...,82944088907857673290401788922357350407113340188058662277454243136201716851816211798246440151013761384359163458413546795628129953344480624198320504937784422576395729453789833357965248654054225290594986636160433245335363222113750164990547407380910905705092116174672794600771453279518382983843237228552547995755421500839247572924361945838135384755372139743399748000418613492110614056181165976917711204143373825688818361572989944773170677397428931979242656857498598077171219921743769852049936594208316137478790482356753663396179633607968850512102634258486908580879722302148614917603522096556778282838312370971672350829645571402848672394087118769223208251252852488502820551636586075546870396427367928541390119394711119266148084264705866559168851674784283773209845450657267233922181020485967917907949077583739233844349981920186545173421593495645369122689336870997551661044718347973091625978984709776608805520462029549858551198629603312323129878086551737356453918498452524213071183682293808167392121012840936586822324564766434266256388011656043452877778208024029764838992316523817004456741131693227344584360703812199616216797148423949987729472590529226791970847338095216471399406322135590015192733705086360331876671744446158643610069609397270856204715018985485145112190407780865475298816371907158016394438490007706897134414156772559534408510692626720603993895239414328724894821169865252118043591032708458950052130319124046222466035538919687636270784665012150558975955995097027579715044244839666025478420182003905235599811679699486414464624655510795334407147331746064090385319599378250628002207405938368648723541264437928635970877722158412581310160140908700928343130232798996484021363238971973780810546527423408600823150769902722719674744851379032674588421091261662759854180444569063108803605818757930190869660290596873083050729158573427266381588024871930145152380169481037509626033227839152350847691994016745830409899566248261977914533183183832930733506061658324004004997096577486642026035419077530516149375481985554966574632951524107805819775024708078703346117171994808879611683881582687977487747423502536916178853152731058798248190428716190707086395606415649506499370830828628894595645641461134756968763984252135804637179507689982448347178853314513713410632439865354782326173609480588959352803995670790888977005969081871431044905730837963234889335104154104090691370514170330827650321987235730378207503929135805966731480954857765300724883671599236196360946616397957849008723181036820559562972286488085780232590034293995821390381544283011020037550262563402658654299948272282410149048814347208284723021949415259724787083214151750622920477358885213149434517957600268762612600512330947899443512480744922123937697848302504131061584506583467054191248971880163397132791036918958972525190533503959985191966912294492155391802451056217470120386724943973403899866113189394142169131155157788003035457911887581561456785022732834191632518246359886482132906223108318931411417217487761937892054120135322963388218514556028414553530718346212541636716979761918124611300204296907051907267184720203870237498041508889029283144986896633643187502449986551212452431953693518099042346679416682359404168504223950931100198235640833617426327179420107096764384093719927086296178339266419116977677264330597277990735336213509691848306231027517197223410228319402105754508820422006135748301544184915658446895032554322545147442662025480536279499101283130464528215414122806467109805075248954081255275343587923390097933880848391608024091826565802028743542121178716068783610953874899469193785799526200891533292749909305344095609107571182803088131863300701075186637302755230629731946762737804172506040735388650810529804572568993493656439680566685706838614}
23328  67696629499931335063552379740682842124624960912455814975988738810838457980223: {163247,233210,279852,396287,722207,861767,1212172,1351226,1372871,2051368,2188226,2307789,2345927,2888332,2946527,3038807,3223271,3426717,4079425,4556807,4877687,4895310,5221664,5289671,5403976,5563967,5776168,5827750,5874372,5929247,6079473,6202871,6248447,6353786,6498189,6789292,6993300,7067447,7158287,7294487,7459520,7735106,8007976,8037465,8391960,8426687,8573296,8951424,9008973,9012076,9440955,9643847,9644958,9866056,10070352,10131585,10452047,10486946,10676087,10807024,11035586,11099313,11329146,11784076,11882447,12131138,12157902,12327767,12404666,13069617,13127327,13206568,13348967,13658927,13791647,13996492,14056871,14316585,14321807,14548876,14857389,14938871,15271024,15334727,15492505,15642167,16036871,16218938,16755532,17086247,17173487,17179902,17260113,17574338,17677869,17739767,17844986,17857132,17957207,18591006,18608327,18750865,19196066,19300871,19406401,19685965,19775807,19905167,20193297,20543546,20593871,20980367,20980936,21194807,21350306,22132150,22501038,22775447,23227706,23320297,23370671,23413127,23603553,23623158,23794871,24341185,24989452,25364666,25738765,25945847,26082412,26155607,26248957,26558580,26695586,26786950,26909087,27226946,27326567,27576671,27622216,27723430,28022906,28159127,28264876,28329152,28408271,28449767,28574207,28657127,28764385,28809772,29209422,29346626,30020687,30146305,30199336,30442732,30490537,30678671,30886518,30930338,31074993,31661807,31870296,32144340,32477567,32518271,32714157,32965487,33140776,33268116,33314710,33974253,34074733,34180247,34287296,34429641,34517262,34784927,35307527,35344168,35854083,36031177,36108887,36175566,36639889,36943773,37283373,37498510,37582967,37939871,38277505,38511866,38573208,38945425,38967287,39022113,39465118,39604900,39675407,39762189,39950087,39977652,41208616,41317607,41613626,41667671,41706527,42338572,42404567,42868487,43066150,43297969,43371566,43394859,43557910,43669946,43926338,44215007,44500168,44998212,45285167,45361367,45461666,45566385,45933006,46083671,46326568,46359693,46614047,46734510,46737146,46878647,46907185,47218271,47525880,47745287,47782871,48308207,48516136,48532871,48570287,48604144,48678190,48770426,49074321,49242407,49302412,49610056,49836076,49850144,49874807,50023271,50062689,50208671,50694272,50985167,51473110,51679380,51796168,52117389,52160296,52269492,52454447,52783271,52809338,53111447,53125401,53466615,53511671,53569300,53813306,53979976,54055871,54273047,54580653,54679662,54682150,54742607,55031185,55111238,55124672,55156876,55314129,55462367,55498271,55564706,55566973,55811313,56081412,56214671,56288622,56378740,56811386,57031056,57070127,57251368,57814871,58270689,58379927,58413828,58680333,59013167,59188607,59360756,59538887,59923271,60445871,60480647,60727473,60975838,60976492,61001327,61433281,61692767,61767732,61959380,62005966,62011885,62015256,62140487,62346671,62745338,62860871,63244525,63849887,64087607,64140616,64159938,64283160,64407789,64764647,64949186,65371247,65618580,65949736,66037422,66075671,66209447,66411938,66610007,67606367,67626938,67654488,67809292,67869506,68332876,68568704,68759687,68858087,69563176,69767163,69838127,69993152,70046138,71210461,71519807,72158193,72318555,72352105,72925871,73181005,73273486,73460233,73462557,73530568,73717871,73886906,74073292,74159207,74193453,74351256,74414262,74536247,75005927,75473807,75877847,75893430,75939887,76111299,76496807,77130568,77139792,77602871,77612276,77725127,78007105,78258573,78399938,78516671,78698567,78730340,78742296,78744076,79261612,79381390,80689065,80947967,80952992,81214871,81692066,81776207,82217327,82539671,82721889,82745385,82953985,83327546,83413871,83645163,84311368,84491426,84669736,84801080,85419938,86068336,86106407,86516529,86670167,86735684,86771889,86782266,86822526,86838671,86917705,86950847,87108340,87426167,87455425,87761830,87817206,88261744,88513400,88585083,88755767,88783271,88907865,89110946,89167585,89904047,89985527,90148271,90485473,90715607,90959865,91065047,91072116,91085452,91466567,91626671,91767865,91919447,92106412,92158271,92422871,92440909,92660327,92949671,92980749,93230553,93265172,93577607,93608526,93635692,93993671,94226807,94352186,94381871,94476408,94665407,94835056,94850289,95253453,95257668,95280671,95306207,95401215,95481506,95491857,96144407,96194927,96798671,96826878,96898847,97023856,97023887,97048871,97056506,97109385,97273367,97748521,97769927,98055566,98066327,98312447,98635953,99046007,99167567,99294462,99544782,99577575,99844607,99988871,...,124416133361786509935602683383536025610670010282087993416181364704302575277724317697369660226520642076538745187620320193442194930016720936297480757406676633864593594180684750036947872981081337935892479954240649868003044833170625247485821111071366358557638174262009191901157179919277574475764855842828821993633132251258871359386542918757203077133058209615099622000627920238165921084271748965376566806215060738533227542359484917159756016096143397968863985286247897115756829882615654778074904891312474206218185723535130495094269450411953275768153951387730362871319583453222922376405283144835167424257468556457508526244468357104273008591130678153834812376879278732754230827454879113320305594641051892812085179092066678899222126397058799838753277512176425659814768175985900850883271530728951876861923616375608850766524972880279817760132390243468053684034005306496327491567077521959637438968477064664913208280693044324787826797944404968484694817129827606034680877747678786319606775523440712251088181519261404880233486847149651399384582017484065179316667312036044647258488474785725506685111697539841016876541055718299424325195722635924981594208885793840187956271007142824707099109483203385022789100557629540497815007616669237965415104414095906284307072528478227717668285611671298212948224557860737024591657735011560345701621235158839301612766038940080905990842859121493087342231754797878177065386549062688425078195478686069333699053308379531454406176997518225838463933992645541369572566367259499038217630273005857853399717519549229621696936983266193001610720997619096135577979399067375942003311108907552973085311896656892953956316583237618871965240211363051392514695349198494726032044858457960671215819791135112901234726154854084079512117277068549011882631636892494139781270666853594663205408728136895286304490435895309624576093737860140899572382037307895217728570254221556264439049841758728526271537991025118745614849349372392966871799774775749396100259092487486006007495644866229963039053128616295774224063222978332449861949427286161708729662537062118055019175757992213319417525822374031966231621135253805374268279729096588197372285643074286060629593409623474259749056246242943341893468462191702135453145976378203706955769261534973672520768279971770570115948659798032173489260414220883439029205993506186333465508953622807146567358596256944852334002656231156136037055771255496241475482980853595567311255893703708950097221432286647951087325507398854294541419924596936773513084771555230839344458429732128670348885051440993732085572316424516530056325393845103987981449922408423615223573221520812427084532924122889587180624821227625934380716038327819724151776936400403143918900768496421849165268721117383185906546772453756196592376759875200581286873457820245095699186555378438458787785800255939977787950368441738233087703676584326205180580087415960105849799169784091213253696732736682004553186867831372342185177534099251287448777369539829723199359334662478397117125826231642906838081180202984445082327771834042621830296077519318812455075469642877186916950306445360577860900777080305805356247062263333543924717480344950464781253674979826818678647930540277148563520019125023539106252756335926396650297353461250426139490769130160645146576140579890629444267508899628675466515896495895916986103004320264537772459346541275795835115342479103158631763230633009203622452316277373487670342548831483817721163993038220804419248651924695696792323121184209700664707612873431121882913015381885085146900821272587412036137739848703043115313181768074103175416430812349203790678699289301337299939124863958016143413661356774204632197794951051612779955954132845944597920144106706258759061103082976215794706858853490240484659520850028560257921}
23329  67937913815763173858943345772158500862945001080565730568747865423720600103653: {46654,349815,373136,419778,1515215,1794947,1818258,2026839,2564210,3077052,3282339,3610415,4332498,4568956,4728479,5054147,5754359,6527080,6754970,6964607,7006979,7220210,7342965,7501634,7523639,7832496,8105964,8408051,8486615,8632799,8664252,8741625,8811558,9324400,9456146,9530679,9738146,10009970,10183938,10297274,10489950,10716620,11189280,11197199,11265095,11555747,11602659,11786258,11935232,12011964,12332570,12587940,12859944,13362146,13427136,13463354,13508780,13518114,13711331,13928018,14217359,14467437,14730095,14799084,15045986,15105528,15730419,16210536,16508210,16553379,16993719,17009639,17135987,17426156,17495615,17676114,18126551,18186095,18196707,18236853,18358319,18606999,18949106,19088780,19801919,19809852,20918831,20944415,20994738,21823314,22321415,22906536,23013484,23570492,24060146,24111287,24169439,24328407,24536066,24788008,25133298,25653458,25769853,26064371,26226170,26361507,26424419,26767479,26785698,26873639,26924396,27827591,27886509,28794099,28998179,30001384,30815319,30926147,31236815,31471404,31497544,32025459,32283719,32436986,32603015,33198225,33751557,33876707,34085207,34527770,34841559,35271767,35331095,35411440,35434737,36012215,36057539,36628979,37484178,37749170,38046999,38053415,38285039,38480387,38937647,38945896,39123618,39138458,39837870,40043379,40180425,40535747,40638959,40840419,41182024,41425970,41433324,41585145,42034359,42203459,42397314,42451619,42493728,42528626,42859120,42995159,43214658,43408799,43618876,43814133,44019939,44180210,44357488,44538071,44874479,45299004,45321647,45478466,45640259,45664098,45906188,46023016,46329777,46395507,46641506,47171699,47232479,47267519,47805444,48049271,48216510,48234088,49171559,49258364,49506125,49711164,49803959,49902174,49972065,50094947,51122627,51430944,51510770,51775893,51779279,52029484,52048607,52923215,53016252,53303536,54263349,54633986,54757799,54967907,55625210,56123039,56247765,56685938,57682658,57706019,57767799,57859812,57908210,58090727,58154879,58926899,59197677,59407350,59803679,59966478,59997616,60319319,60645170,60755180,60867779,61244008,61628015,61812924,62012570,62295095,62312680,62420439,63367840,63382226,63507858,64033631,64339247,64599225,64745210,64790066,65057349,65200370,65270039,65336865,65432428,65504919,65546594,65889507,66443171,66750252,66961625,67474970,67489247,67497318,68164538,68192499,68729999,68899509,68905840,68946095,69289439,69489852,69692656,69765407,70101765,70105719,70205927,70473425,70833868,71174087,71274839,71288820,71564210,72629807,72774204,72906216,73017285,73155639,73432739,73752172,73772447,73953618,74064899,74086019,74200945,74415084,74754114,74775216,75051496,75173951,75309794,75941426,76041408,76220615,76407479,77040119,77209665,77229026,77449225,77519070,77694252,77708147,77885104,78240444,78355631,78404238,78668531,78818207,79214007,79630079,79699706,79991186,80175770,80353950,80719959,80969964,82019493,82023225,82356976,82415159,82437170,82666857,82687008,82735314,82811507,82963439,82980674,83347059,83529191,84122118,84412514,84432933,84568110,84761615,84770039,84895874,85217079,85346159,85416095,85546584,85710880,85877052,85982906,86152739,86763107,86953970,87491440,87620742,87899581,88049896,88082258,88373279,88774919,89041134,89122874,89772407,90205984,90635426,90935747,91463757,91464738,91721459,91913210,92591615,92603891,92651598,92939070,93008949,93022884,93599207,94081187,94118007,94335266,94456754,94521887,94822487,95587247,95648786,96210924,96239907,96413210,96424740,96721319,97015345,97125839,97423779,97444319,97819619,97950076,98412925,98427870,98430095,98924604,99056133,99077015,99135008,99219016,99617907,99792131,99909479,...,165888177815715346580803577844714700814226680376117324554908486272403433703632423596492880302027522768718326916827093591256259906688961248396641009875568845152791458907579666715930497308108450581189973272320866490670726444227500329981094814761821811410184232349345589201542906559036765967686474457105095991510843001678495145848723891676270769510744279486799496000837226984221228112362331953835422408286747651377636723145979889546341354794857863958485313714997196154342439843487539704099873188416632274957580964713507326792359267215937701024205268516973817161759444604297229835207044193113556565676624741943344701659291142805697344788174237538446416502505704977005641103273172151093740792854735857082780238789422238532296168529411733118337703349568567546419690901314534467844362040971935835815898155167478467688699963840373090346843186991290738245378673741995103322089436695946183251957969419553217611040924059099717102397259206624646259756173103474712907836996905048426142367364587616334784242025681873173644649129532868532512776023312086905755556416048059529677984633047634008913482263386454689168721407624399232433594296847899975458945181058453583941694676190432942798812644271180030385467410172720663753343488892317287220139218794541712409430037970970290224380815561730950597632743814316032788876980015413794268828313545119068817021385253441207987790478828657449789642339730504236087182065416917900104260638248092444932071077839375272541569330024301117951911990194055159430088489679332050956840364007810471199623359398972828929249311021590668814294663492128180770639198756501256004414811876737297447082528875857271941755444316825162620320281817401856686260465597992968042726477943947561621093054846817201646301539805445439349489702758065349176842182523325519708360889138126217607211637515860381739320581193746166101458317146854532763176049743860290304760338962075019252066455678304701695383988033491660819799132496523955829066366367665861467012123316648008009994193154973284052070838155061032298750963971109933149265903048215611639550049416157406692234343989617759223367763165375954975494847005073832357706305462117596496380857432381414172791212831299012998741661657257789191291282922269513937527968504271609274359015379964896694357706629027426821264879730709564652347218961177918705607991341581777954011938163742862089811461675926469778670208308208181382741028340661655300643974471460756415007858271611933462961909715530601449767343198472392721893232795915698017446362073641119125944572976171560465180068587991642780763088566022040075100525126805317308599896544564820298097628694416569446043898830519449574166428303501245840954717770426298869035915200537525225201024661895798887024961489844247875395696605008262123169013166934108382497943760326794265582073837917945050381067007919970383933824588984310783604902112434940240773449887946807799732226378788284338262310315576006070915823775163122913570045465668383265036492719772964265812446216637862822834434975523875784108240270645926776437029112056829107061436692425083273433959523836249222600408593814103814534369440407740474996083017778058566289973793267286375004899973102424904863907387036198084693358833364718808337008447901862200396471281667234852654358840214193528768187439854172592356678532838233955354528661194555981470672427019383696612462055034394446820456638804211509017640844012271496603088369831316893790065108645090294885324050961072558998202566260929056430828245612934219610150497908162510550687175846780195867761696783216048183653131604057487084242357432137567221907749798938387571599052401783066585499818610688191218215142365606176263726601402150373274605510461259463893525475608345012081470777301621059609145137986987312879361133371413677228}
23330  68180052485920413669805292099769950487798020438663015462114115591975990223328: {69981,326494,442909,466420,559704,629667,792574,861841,1419409,1444414,1723534,1836829,2392381,2424344,2702452,2727387,2745742,2946781,3638161,3776221,3846315,4102736,4376452,4603069,4615578,4691854,5711195,5776664,5893054,6077614,6248989,6385681,6446542,6498747,6853434,7204321,7748641,8158850,8427421,9113614,9374689,9755374,9790620,10132455,10443328,10579342,10807952,10830315,11127934,11252451,11552336,11655500,11748744,11858494,11928061,12158946,12405742,12462301,12496894,12707572,12996378,13217337,13395775,13578584,13925521,13986600,14134894,14184219,14316574,14323069,14588974,14607219,14919040,14984209,15014955,15275907,15445911,15470212,15643549,15734925,16015952,16038289,16074930,16783920,16853374,16885975,17087761,17146592,17679387,17741341,17902848,18017946,18024152,18498855,18653329,18881910,19287694,19289916,19691281,19732112,19820701,20043219,20140704,20195031,20263170,20277171,20892027,20904094,20973892,21352174,21614048,21689507,21782695,22071172,22198626,22568979,22658292,23160349,23415229,23568152,23764894,23860975,24262276,24315804,24655534,24762315,24809332,25948189,26139234,26251211,26254654,26413136,26514171,26576929,26697934,27317854,27329041,27560351,27583294,27992984,28113742,28203229,28423659,28452349,28633170,28643614,28701181,28766855,29097752,29197981,29463115,29714778,29877742,30542048,30669454,30985010,31008307,31284334,31492107,31909789,32073742,32154589,32437876,32521249,32734971,33374269,33511064,33617341,33655495,34077659,34172494,34344829,34346974,34359804,34520226,35148676,35355738,35479534,35689972,35714264,35912161,35914414,36034271,36090219,36152209,36804099,37182012,37216654,37501730,37586449,37699947,37824481,38392132,38480187,38601742,38773729,38812802,39339255,39364669,39371930,39551614,39810334,40178547,40270139,40386594,41087092,41187742,41360401,41710429,41960734,41961872,42204827,42389614,42700612,42872509,42988321,43301687,43681681,44257501,44264300,45002076,45289441,45403741,45550894,45746209,46455412,46640594,46741342,46826254,47207106,47246316,47589742,47787409,47909587,48574909,48655479,48682370,49247101,49693789,49916701,49978904,50729332,51170327,51477530,51579361,51791655,51891694,52164824,52311214,52459489,52497914,53116561,53117160,53391172,53573900,53588507,53818174,54453892,54523595,54653134,55153342,55244432,55446860,55503649,56041309,56045812,56226267,56255869,56318254,56529752,56623755,56658304,56816542,56897821,56899534,57148414,57314254,57382735,57430801,57528770,57619544,58385629,58418844,58685427,58693252,58707687,59018941,59756805,60041374,60292610,60398672,60486589,60885464,60981074,61357342,61572955,61773036,61860676,62043409,62138955,62149986,63323614,63595971,63740592,63792939,63890209,64093969,64195741,64288680,64703521,64821987,64906129,64955134,65036542,65036855,65411389,65428314,65670059,65930974,66115729,66216061,66270315,66281552,66416509,66536232,66629420,67948506,68149466,68217699,68360494,68496147,68574592,68799421,68859282,68897809,69034524,69569854,69584509,69682321,69877729,69962259,70559389,70615054,70688336,71237521,71527069,71708166,71719741,72062354,72217774,72324765,72351132,73060381,73155601,73279778,73887546,74566746,74575261,74853261,74951101,74997020,75044881,75165934,75606049,75879742,75885661,75943975,76442941,76555010,77023732,77043659,77146416,77266155,77641489,77890850,77934574,78044226,78190561,78737041,78827869,78930236,79009309,79209800,79350814,79524378,79900174,79955304,80986141,81253009,81686011,81790535,81950979,82417232,82635214,82665361,83227252,83335342,83413054,83437815,84677144,84809134,85028907,85736974,86132300,86523987,86595938,86707549,86743132,86789718,86816639,86862315,86876029,87115820,87339892,87852676,88430014,88542335,88792849,89000336,89111025,89122321,89949717,89996424,90347581,90570334,90722734,90752401,90923332,90967755,90994429,91132770,91866012,91956061,92167342,92190215,92653136,92670481,92719386,92986129,93018855,93064861,93143521,93222109,93228094,93469020,93474292,93757294,93814370,94237201,94392289,94436542,94701601,95051760,95073339,95261787,95316769,95490574,95565742,96616414,96909661,97032272,97059709,97065742,97117815,97140574,97185099,97208288,97356380,97433569,97540852,97800555,97805629,98101981,98148642,98319891,98484814,98604824,98911009,99057169,99220112,99566461,99672152,99700288,99749614,99855901,...,248832266723573019871205366767072051221340020564175986832362729408605150555448635394739320453041284153077490375240640386884389860033441872594961514813353267729187188361369500073895745962162675871784959908481299736006089666341250494971642222142732717115276348524018383802314359838555148951529711685657643987266264502517742718773085837514406154266116419230199244001255840476331842168543497930753133612430121477066455084718969834319512032192286795937727970572495794231513659765231309556149809782624948412436371447070260990188538900823906551536307902775460725742639166906445844752810566289670334848514937112915017052488936714208546017182261356307669624753758557465508461654909758226640611189282103785624170358184133357798444252794117599677506555024352851319629536351971801701766543061457903753723847232751217701533049945760559635520264780486936107368068010612992654983134155043919274877936954129329826416561386088649575653595888809936969389634259655212069361755495357572639213551046881424502176363038522809760466973694299302798769164034968130358633334624072089294516976949571451013370223395079682033753082111436598848650391445271849963188417771587680375912542014285649414198218966406770045578201115259080995630015233338475930830208828191812568614145056956455435336571223342596425896449115721474049183315470023120691403242470317678603225532077880161811981685718242986174684463509595756354130773098125376850156390957372138667398106616759062908812353995036451676927867985291082739145132734518998076435260546011715706799435039098459243393873966532386003221441995238192271155958798134751884006622217815105946170623793313785907912633166475237743930480422726102785029390698396989452064089716915921342431639582270225802469452309708168159024234554137098023765263273784988279562541333707189326410817456273790572608980871790619249152187475720281799144764074615790435457140508443112528878099683517457052543075982050237491229698698744785933743599549551498792200518184974972012014991289732459926078106257232591548448126445956664899723898854572323417459325074124236110038351515984426638835051644748063932463242270507610748536559458193176394744571286148572121259186819246948519498112492485886683786936924383404270906291952756407413911538523069947345041536559943541140231897319596064346978520828441766878058411987012372666931017907245614293134717192513889704668005312462312272074111542510992482950965961707191134622511787407417900194442864573295902174651014797708589082839849193873547026169543110461678688916859464257340697770102881987464171144632849033060112650787690207975962899844816847230447146443041624854169065848245779174361249642455251868761432076655639448303553872800806287837801536992843698330537442234766371813093544907512393184753519750401162573746915640490191398373110756876917575571600511879955575900736883476466175407353168652410361160174831920211699598339568182426507393465473364009106373735662744684370355068198502574897554739079659446398718669324956794234251652463285813676162360405968890164655543668085243660592155038637624910150939285754373833900612890721155721801554160611610712494124526667087849434960689900929562507349959653637357295861080554297127040038250047078212505512671852793300594706922500852278981538260321290293152281159781258888535017799257350933031792991791833972206008640529075544918693082551591670230684958206317263526461266018407244904632554746975340685097662967635442327986076441608838497303849391393584646242368419401329415225746862243765826030763770170293801642545174824072275479697406086230626363536148206350832861624698407581357398578602674599878249727916032286827322713548409264395589902103225559911908265691889195840288213412517518122206165952431589413717706980480969319041700057120515842}
23331  68423048515726671155661380452959664336114701602048512196186972244951645672858: {93308,489741,583025,699630,746272,839556,1188861,2121301,2166621,2585301,3030430,3378065,3589894,3636516,4053678,4118613,5054581,5128420,5470565,5894141,6154104,6564678,6732833,6923367,7037781,7220830,7429829,8408773,8664996,8839581,9106781,9116421,9137912,9456958,9669813,10108294,10280151,10498829,11508718,11881261,12238275,13054160,13509940,13670421,13929214,14013958,14440420,14569375,14633061,14685930,15003268,15047278,15527093,15664992,15771133,15869013,15884465,16211928,16691901,16816102,16973230,17265598,17328504,17483250,17623116,17787741,18238419,18608613,18648800,18745341,18912292,19010773,19061358,19337765,19476292,19494567,20019940,20251621,20367876,20594548,20622133,20979900,21202341,21433240,21474861,21883461,22361509,22378560,22394398,22530190,23111494,23205318,23572516,23870464,24023928,24112395,24493861,24665140,25175880,25280061,25460533,25719888,26217365,26724292,26854272,26926708,26947909,27017560,27026919,27036228,27422662,27588965,27856036,28322865,28434718,28931541,28934874,29322181,29460190,29598168,30091972,30211056,30327845,30394755,31011665,31249981,31356141,31460838,32028261,32421072,32887153,33016420,33106758,33297939,33415349,33987438,34019278,34271974,34852312,34991230,35352228,35647341,36253102,36372190,36393414,36473706,36716638,36983301,36992341,37213998,37898212,38177560,39208851,39381981,39603838,39619704,40046901,40547345,40976781,41374941,41837662,41888830,41989476,42170613,42949755,42965421,43646628,43731541,43935845,44569121,44572167,44612465,44642830,44816613,45420013,45476821,45644221,45813072,46004181,46026968,46477515,46926501,47140984,47990165,48053413,48110613,48120292,48222574,48338878,48656814,49072132,49463533,49576016,50266596,50417101,51258741,51306916,51358865,51520461,51539706,51780339,52128742,52452340,52562701,52723014,52848838,53033607,53219301,53274781,53375765,53534958,53571396,53747278,53848792,53871621,55330375,55655182,55773018,55824981,56252595,57097661,57579733,57588198,57902613,57996358,58069265,58219203,59057895,59171981,59327421,59715501,60002768,60579891,60679949,60924421,61199893,61630638,61781613,61852294,62473630,62941101,62942808,62995088,63411665,63584421,64050918,64567438,64873972,65199101,65206030,66396450,66703901,66738965,66967375,67503114,67753414,67955729,68067365,68170414,68326341,69055540,69308575,69683118,69771421,69960891,70057265,70112013,70239381,70543534,70662190,70810659,70822880,70869474,71213549,71384613,72024430,72115078,73023555,73257958,73366565,74068021,74092501,74216021,74968356,75498340,75990353,76093998,76106830,76570078,76960774,77216295,77325845,77418833,77837541,77875294,77891792,78247236,78276916,78466821,78746871,78840973,79365893,79547509,79675740,80086758,80211461,80360850,80727261,81071494,81277918,81680838,81979701,82364048,82730013,82851940,82866648,82970641,83170290,83254033,83286775,84068718,84406918,84477381,84660449,84794628,84903238,84987456,85057252,85224813,85349301,85718240,85722621,85971381,85990318,86279221,86293155,86360689,86429316,86817598,87213133,87237752,87628266,87687941,88039878,88360420,88714976,89076142,89092733,89748958,90062061,90438915,90507101,90598008,90643294,90672989,90956932,91232101,91280518,91328196,91423841,91471611,91812376,91836901,92036013,92046032,92659554,92791014,93224979,93283012,93746275,94343398,94464958,94535038,94830661,94985421,95610888,96025649,96098542,96279665,96433020,96468176,96524533,96633581,97188989,97432701,97554813,98142471,98343118,98409821,98516728,98662795,98896461,99012250,99422328,99607918,99804348,99944130,...,373248400085359529806808050150608076832010030846263980248544094112907725833172953092108980679561926229616235562860960580326584790050162808892442272220029901593780782542054250110843618943244013807677439862721949604009134499511875742457463333214099075672914522786027575703471539757832723427294567528486465980899396753776614078159628756271609231399174628845298866001883760714497763252815246896129700418645182215599682627078454751479268048288430193906591955858743691347270489647846964334224714673937422618654557170605391485282808351235859827304461854163191088613958750359668767129215849434505502272772405669372525578733405071312819025773392034461504437130637836198262692482364637339960916783923155678436255537276200036697666379191176399516259832536529276979444304527957702552649814592186855630585770849126826552299574918640839453280397170730404161052102015919488982474701232565878912316905431193994739624842079132974363480393833214905454084451389482818104042633243036358958820326570322136753264544557784214640700460541448954198153746052452195537950001936108133941775465424357176520055335092619523050629623167154898272975587167907774944782626657381520563868813021428474121297328449610155068367301672888621493445022850007713896245313242287718852921217585434683153004856835013894638844673673582211073774973205034681037104863705476517904838298116820242717972528577364479262026695264393634531196159647188065275234586436058208001097159925138594363218530992554677515391801977936624108717699101778497114652890819017573560199152558647688865090810949798579004832162992857288406733938197202127826009933326722658919255935689970678861868949749712856615895720634089154177544086047595484178096134575373882013647459373405338703704178464562252238536351831205647035647894910677482419343812000560783989616226184410685858913471307685928873728281213580422698717146111923685653185710762664668793317149525276185578814613973075356236844548048117178900615399324327248188300777277462458018022486934598689889117159385848887322672189668934997349585848281858485126188987611186354165057527273976639958252577467122095898694863405761416122804839187289764592116856929222858181888780228870422779247168738728830025680405386575106406359437929134611120867307784604921017562304839915311710347845979394096520467781242662650317087617980518559000396526860868421439702075788770834557002007968693468408111167313766488724426448942560786701933767681111126850291664296859943853261976522196562883624259773790810320539254314665692518033375289196386011046655154322981196256716949273549590168976181535311963944349767225270845670719664562437281253598772368668761541874463682877803142148114983459172455330809201209431756702305489265547495806163352149557719640317361268589777130279625601743860620373460735287097559666135315376363357400767819933363851105325214699263111029752978615541740262247880317549397509352273639761090198210046013659560603494117026555532602297753862346332108619489169598078003987435191351377478694928720514243540608953335246983315502127865490888232557956437365226408928631560750850919336081733582702331240917416068741186790000631774152441034851394343761024939480456035943791620831445690560057375070617318758269007779189950892060383751278418472307390481935439728421739671888332802526698886026399547689487687750958309012960793613317378039623827387505346027437309475895289691899027610867356948832120463011027646494451453163491979114662413257745955774087090376969363552629101994122838620293365648739046145655255440702463817762236108413219546109129345939545304222309526249292437047611372036097867904011899817374591874048430240984070322613896593384853154838339867862398537833793760432320118776277183309248928647384120576560470721453978562550085680773763}
23332  68666904921007907636827702259436253819211440984774692312952823744048721465092: {116635,139962,256531,652988,885818,932840,954931,1049445,1119408,1233787,1259334,1585148,1723682,2838818,2888828,3039331,3447068,3673658,4006507,4545645,4784762,4848688,5382067,5384841,5404904,5454774,5491484,5793331,5893562,6080517,6203947,6410525,6750427,7159531,7276322,7552442,7692630,7995673,8205472,8247307,8752904,8924827,9206138,9231156,9383708,9847017,9870331,10543531,10831245,10946587,11422390,11553328,11786108,11884531,12155228,12497978,12771362,12818947,12893084,12997494,13484227,13706868,14185437,14408642,14544931,14809387,15162441,15497282,16258747,16317700,16854842,16887425,17176531,17263077,18050525,18227228,18481531,18749378,18754085,19390747,19510748,19581240,20264910,20886656,20893821,21020937,21069931,21158684,21615904,21660630,21969067,22028895,22255868,22504902,22570917,23104672,23311000,23374867,23497488,23629531,23640365,23716988,23856122,24317892,24345365,24518587,24811484,24924602,24993788,25024925,25224153,25415144,25459845,25743185,25898397,25992756,26224875,26434674,26791550,27039307,27157168,27789907,27851042,27973200,28269788,28368438,28592037,28633148,28646138,28662331,29035147,29177948,29214438,29465645,29838080,29968418,30029910,30495773,30551814,30831425,30891822,30940424,31287098,31469850,31504027,31749331,32031904,32076578,32149860,32361331,32605627,32971531,33405365,33567840,33591597,33658385,33706748,33771950,33795285,33944107,34175522,34293184,34667241,34807977,34820045,35153347,35358774,35482682,35805696,36035892,36048304,36646181,36997710,37192531,37306658,37431067,37614965,37763820,38575388,38579832,38974531,39382562,39464224,39641402,40086438,40273597,40281408,40390062,40526340,40554342,40974547,41133993,41248361,41270525,41325331,41675467,41784054,41808188,41947784,42652077,42704348,43228096,43379014,43402311,43565390,43877947,44142344,44190285,44397252,44797531,45137958,45316584,45369931,45598387,46320698,46830458,47117693,47136304,47191257,47302627,47372765,47529788,47721950,47867107,47913701,48524552,48542107,48631608,49311068,49326331,49524630,49618664,49660137,50107027,50440531,50981157,51028917,51174721,51326707,51407961,51896378,52278468,52486845,52502422,52509308,52826272,52866427,53028342,53153858,53395868,53521987,53546009,54379653,54558285,54590121,54635708,54658082,54710559,55074957,55120702,55166588,55580827,55820997,55985968,56227484,56406458,56620421,56847318,56904698,57266340,57287228,57294427,57402362,57533710,58195504,58395962,58926230,59405757,59429556,59755484,59935027,60150365,60353347,60978667,61084096,61338908,61340165,61970020,62016614,62427667,62568668,62756493,62833245,62984214,63819578,64133645,64147484,64309178,64473187,64574707,64875752,65042498,65469942,65565425,66748538,66964245,67022128,67089307,67234682,67288531,67310990,67983547,68155318,68344988,68689658,68693948,68719608,69040452,69264931,70047427,70297352,70711476,70728331,70922227,70959068,71379944,71405707,71428528,71824322,71828828,72068542,72175531,72180438,72304418,72333861,72508317,72985221,73606531,73608198,73890787,74364024,74433308,75003460,75172898,75208747,75399894,75648962,75955531,76234387,76333033,76784264,76960374,77203484,77309559,77527147,77547458,77625604,78193113,78441907,78678510,78729338,78743860,79084521,79103228,79273257,79620668,80302437,80335829,80357094,80518531,80540278,80620917,80773188,81092465,81142987,81231907,82174184,82375484,82720802,82907707,83420858,83482773,83605531,83659527,83921468,83923744,84212347,84409654,84643627,84779228,85401224,85745018,85926667,85976642,86202137,86319425,86382297,86603374,86994537,87319529,87363362,88515002,88528600,88857427,89923531,90004152,90167827,90573547,90578882,90735331,90807482,91051597,91101788,91492418,91699987,91939531,92445957,92733331,92778441,92910824,92970067,93281188,93482684,93652508,93710445,94144027,94372925,94414212,94492632,95179484,95225107,95574818,95819174,96076377,96216331,96538013,96745027,96851157,97149818,97310958,97344931,97364740,97809045,97846145,98494202,99387578,99594675,99833402,99915331,99957808,...,497664533447146039742410733534144102442680041128351973664725458817210301110897270789478640906082568306154980750481280773768779720066883745189923029626706535458374376722739000147791491924325351743569919816962599472012179332682500989943284444285465434230552697048036767604628719677110297903059423371315287974532529005035485437546171675028812308532232838460398488002511680952663684337086995861506267224860242954132910169437939668639024064384573591875455941144991588463027319530462619112299619565249896824872742894140521980377077801647813103072615805550921451485278333812891689505621132579340669697029874225830034104977873428417092034364522712615339249507517114931016923309819516453281222378564207571248340716368266715596888505588235199355013110048705702639259072703943603403533086122915807507447694465502435403066099891521119271040529560973872214736136021225985309966268310087838549755873908258659652833122772177299151307191777619873938779268519310424138723510990715145278427102093762849004352726077045619520933947388598605597538328069936260717266669248144178589033953899142902026740446790159364067506164222873197697300782890543699926376835543175360751825084028571298828396437932813540091156402230518161991260030466676951861660417656383625137228290113912910870673142446685192851792898231442948098366630940046241382806484940635357206451064155760323623963371436485972349368927019191512708261546196250753700312781914744277334796213233518125817624707990072903353855735970582165478290265469037996152870521092023431413598870078196918486787747933064772006442883990476384542311917596269503768013244435630211892341247586627571815825266332950475487860960845452205570058781396793978904128179433831842684863279164540451604938904619416336318048469108274196047530526547569976559125082667414378652821634912547581145217961743581238498304374951440563598289528149231580870914281016886225057756199367034914105086151964100474982459397397489571867487199099102997584401036369949944024029982579464919852156212514465183096896252891913329799447797709144646834918650148248472220076703031968853277670103289496127864926484541015221497073118916386352789489142572297144242518373638493897038996224984971773367573873848766808541812583905512814827823077046139894690083073119887082280463794639192128693957041656883533756116823974024745333862035814491228586269434385027779409336010624924624544148223085021984965901931923414382269245023574814835800388885729146591804349302029595417178165679698387747094052339086220923357377833718928514681395540205763974928342289265698066120225301575380415951925799689633694460894292886083249708338131696491558348722499284910503737522864153311278896607107745601612575675603073985687396661074884469532743626187089815024786369507039500802325147493831280980382796746221513753835151143201023759911151801473766952932350814706337304820722320349663840423399196679136364853014786930946728018212747471325489368740710136397005149795109478159318892797437338649913588468503304926571627352324720811937780329311087336170487321184310077275249820301878571508747667801225781442311443603108321223221424988249053334175698869921379801859125014699919307274714591722161108594254080076500094156425011025343705586601189413845001704557963076520642580586304562319562517777070035598514701866063585983583667944412017281058151089837386165103183340461369916412634527052922532036814489809265109493950681370195325935270884655972152883217676994607698782787169292484736838802658830451493724487531652061527540340587603285090349648144550959394812172461252727072296412701665723249396815162714797157205349199756499455832064573654645427096818528791179804206451119823816531383778391680576426825035036244412331904863178827435413960961938638083400114241031684}
23333  68911624728128889433342876540942730443760046529620409541229237731679946205070: {23333,186616,209943,816235,979482,1166050,1328727,1399260,1492544,1679112,1889001,1981435,2377722,2585523,2820631,3611035,4242602,4258227,4308835,4333242,4729291,5170602,5510487,6060860,6756130,6864355,6965803,7177143,7179788,7273032,7430467,7524931,7658791,7942231,8107356,8182161,8237226,8780707,8840343,9107563,10109162,10178167,10256840,10914483,10941130,11010967,11328663,11538945,11729635,11788282,12308208,12407707,13129356,13465666,13565827,13809207,13846734,14075562,14441660,14642491,14732635,14859658,15194035,16116355,16597927,16817546,17133585,17329992,17679162,18159031,18213562,18232842,18275824,18591931,18746967,18913916,19157043,19339626,19496241,20216588,20397125,20560302,20997658,21612963,21942667,22238251,22784035,23017436,23245923,23762522,24388435,24476550,25282263,26108320,26448355,27019880,27072871,27340842,27819835,27858428,28027916,28124067,28848787,28880840,29138750,29266122,29371860,29646235,30006536,30094556,30397365,31014355,31054186,31242235,31329984,31542266,31551607,31738026,31768930,32423856,32490945,33383802,33632204,33757353,33946460,34531196,34657008,34966500,35142451,35246232,35337235,35575482,35736787,35784183,35791435,36472435,36476838,36704311,37217226,37297600,37386903,37490682,37824584,37980547,38021546,38122716,38624551,38675530,38952584,38989134,39084931,39490867,39652011,40039880,40187325,40503242,40735752,41189096,41244266,41524087,41776563,41959800,42133435,42217171,42404682,42458983,42552657,42866480,42949722,42969207,43416331,43766922,43821657,44340343,44572963,44723018,44757120,44788796,44952627,45044865,45060380,45568567,45827721,46222988,46337733,46410636,46930647,47145032,47204775,47740928,48047856,48114867,48219235,48224790,48598231,48987722,49330280,49812547,50065051,50351760,50560122,50657925,50921066,51263283,51439776,52260235,52434730,53038161,53224023,53380435,53448584,53708544,53853416,53895818,53914507,54035120,54053838,54072456,54845324,55177930,55496565,55712072,55959987,56645730,56661847,56766283,56869436,57102583,57863082,57869748,58164907,58644362,58682011,58920380,59073843,59196336,59412235,59462103,60129657,60183944,60289003,60422112,60585093,60655690,60789510,60831513,61187731,61510183,61638835,61811371,62023330,62457451,62499962,62676081,62712282,62921676,63699031,64056522,64408471,64842144,65068521,65244643,65348085,65636635,65774306,66032840,66213516,66595878,66709687,66744835,66830698,67186231,67706937,67961587,67974876,68038556,68063563,68213827,68294635,68543948,68958235,69301387,69481047,69704624,69930523,69982460,70245687,70284355,70704456,71219731,71294682,71582925,71609035,71712667,71720407,71902411,71980291,72506204,72642331,72744380,72786828,72947412,73018123,73433276,73966602,73984682,74222467,74286945,74427996,74694355,74726071,75796424,76355120,76673635,77053483,77462525,77844567,78204811,78210835,78417702,78720631,78753633,78763962,78831883,78980227,79207676,79239408,79542513,79730787,80093802,80184355,80431207,81094690,81231067,81296971,81953562,81987123,82681053,82749882,83675324,83777660,83978952,84161467,84341226,84609687,84667747,85270977,85357047,85431235,85867435,85899510,85930842,86103543,86300565,86526931,87293256,87335467,87463082,87593943,87709843,87871690,88034227,88193347,88389345,88698835,88776331,88790227,88892263,89138242,89144334,89224930,89285660,89633226,89786035,89877691,90514903,90680887,90840026,90953642,91288442,91626144,91805251,92008362,92042491,92053936,92955030,93024921,93041635,93434551,93754325,93853002,94281968,94476321,94795363,95230327,95294311,95649367,95729367,95980330,96106826,96221226,96240584,96445148,96463767,96504355,96677756,97032005,97033051,97142587,97197367,97313628,97563747,97927147,98080171,98144264,98204913,98429825,98879035,98927066,99152032,99525835,99574231,99926707,...,746496800170719059613616100301216153664020061692527960497088188225815451666345906184217961359123852459232471125721921160653169580100325617784884544440059803187561565084108500221687237886488027615354879725443899208018268999023751484914926666428198151345829045572055151406943079515665446854589135056972931961798793507553228156319257512543218462798349257690597732003767521428995526505630493792259400837290364431199365254156909502958536096576860387813183911717487382694540979295693928668449429347874845237309114341210782970565616702471719654608923708326382177227917500719337534258431698869011004545544811338745051157466810142625638051546784068923008874261275672396525384964729274679921833567846311356872511074552400073395332758382352799032519665073058553958888609055915405105299629184373711261171541698253653104599149837281678906560794341460808322104204031838977964949402465131757824633810862387989479249684158265948726960787666429810908168902778965636208085266486072717917640653140644273506529089115568429281400921082897908396307492104904391075900003872216267883550930848714353040110670185239046101259246334309796545951174335815549889565253314763041127737626042856948242594656899220310136734603345777242986890045700015427792490626484575437705842435170869366306009713670027789277689347347164422147549946410069362074209727410953035809676596233640485435945057154728958524053390528787269062392319294376130550469172872116416002194319850277188726437061985109355030783603955873248217435398203556994229305781638035147120398305117295377730181621899597158009664325985714576813467876394404255652019866653445317838511871379941357723737899499425713231791441268178308355088172095190968356192269150747764027294918746810677407408356929124504477072703662411294071295789821354964838687624001121567979232452368821371717826942615371857747456562427160845397434292223847371306371421525329337586634299050552371157629227946150712473689096096234357801230798648654496376601554554924916036044973869197379778234318771697774645344379337869994699171696563716970252377975222372708330115054547953279916505154934244191797389726811522832245609678374579529184233713858445716363777560457740845558494337477457660051360810773150212812718875858269222241734615569209842035124609679830623420695691958788193040935562485325300634175235961037118000793053721736842879404151577541669114004015937386936816222334627532977448852897885121573403867535362222253700583328593719887706523953044393125767248519547581620641078508629331385036066750578392772022093310308645962392513433898547099180337952363070623927888699534450541691341439329124874562507197544737337523083748927365755606284296229966918344910661618402418863513404610978531094991612326704299115439280634722537179554260559251203487721240746921470574195119332270630752726714801535639866727702210650429398526222059505957231083480524495760635098795018704547279522180396420092027319121206988234053111065204595507724692664217238978339196156007974870382702754957389857441028487081217906670493966631004255730981776465115912874730452817857263121501701838672163467165404662481834832137482373580001263548304882069702788687522049878960912071887583241662891381120114750141234637516538015558379901784120767502556836944614780963870879456843479343776665605053397772052799095378975375501916618025921587226634756079247654775010692054874618951790579383798055221734713897664240926022055292988902906326983958229324826515491911548174180753938727105258203988245677240586731297478092291310510881404927635524472216826439092218258691879090608444619052498584874095222744072195735808023799634749183748096860481968140645227793186769706309676679735724797075667587520864640237552554366618497857294768241153120941442907957125100171361547526}
23334  69157210974029773949342986660128007627296998287773295324342403955551582940900: {163289,233270,279924,303173,513062,536153,861989,955013,1001513,1305976,1469223,1749075,1771636,1865680,1909862,1929833,2098890,2238816,2467574,2485289,2518668,3039593,3170296,3177989,3447364,3566583,3868889,4420313,5677636,5777656,6067673,6078662,6250073,6363903,6386789,6477893,6499863,6751013,6894136,7069289,7205573,7296389,7347316,7576075,7613993,7755903,8013014,8564453,8974735,9091290,9105989,9569524,9697376,9916133,10134195,10454789,10589273,10764134,10769682,10809808,10909548,10982968,11586662,11787124,11930153,12161034,12355839,12407894,12464489,12686789,12821050,13485413,13500854,13795289,13927973,14016389,14319062,14552644,14590313,15104884,15163743,15385260,15470633,15646313,15991346,16410944,16411695,16494614,17178053,17505808,17682423,17849654,18052075,18412276,18462312,18526553,18767416,19176293,19694034,19740662,19781093,19910489,20198499,20770101,20985989,21087062,21113343,21329093,21628889,21662490,21893174,22141913,22289487,22844780,22994393,23106656,23419433,23572216,23631653,23642395,23674073,23769062,24182489,24310456,24995956,25226319,25270735,25542724,25637894,25784873,25786168,25994988,26162693,26255719,26288489,26518743,26581733,26968454,27041753,27320343,27349263,27413736,28291433,28370874,28581989,28706393,28771795,28789289,28817284,29009439,29079173,29089862,29618774,30152453,30324882,30840453,30994564,31179353,31496487,31793093,32160473,32405033,32517494,32608613,32635400,33096511,33380393,33709684,33774850,34083511,34108889,34353062,34431833,34526154,34713989,34823035,34915289,35034895,35196773,35643783,36040459,36101050,36454456,36714825,36963062,37195973,37235753,37434533,37498756,37508170,37618195,37712489,38306789,38781494,38978153,39021496,39162480,39371993,39686489,40078889,40529820,40744133,41011263,41251903,41368133,41718233,41773312,41787642,42040255,42041874,42139862,42317368,42416489,42433075,42532613,42880553,42996389,43163995,43231808,43309123,43321260,43708125,43899183,43938134,44057790,44342489,44511736,44839973,45009804,45141834,45374213,45412313,46209344,46581279,46622000,46740773,46749734,46767511,46994976,47121739,47259062,47280730,47313399,47433976,47607039,47653395,47712244,47758889,47871653,48584153,48635784,48690730,48748063,48995333,49037174,49331033,49622968,49703273,49849204,49987576,50049850,50075703,50448306,50830288,50919690,50925989,51110489,51486370,51662789,51796794,51985512,52449750,52660951,52869348,53363223,53550607,53583100,53745113,54078614,54216389,54314336,54715257,55190873,55579814,55586213,55702084,55825839,55837289,55946400,55985995,56236023,56325475,56445413,56539576,56625283,56736876,57032319,57184074,57266296,57292276,57324662,57335513,57512933,57778735,58013295,58070294,58355896,58397033,58428876,58483701,58502789,58931290,59311193,59676160,59731289,59936836,60059820,60754863,60991546,61019333,61103628,61192553,61641989,61662850,61783644,61866399,61880848,62574196,62939700,63008054,63281647,63498662,63607023,64063808,64153156,64208489,64276313,64299720,64424583,64716389,64722662,64783973,65211254,65626073,65650383,65943062,66321871,66329573,66496553,66810730,66829913,66915043,67084527,67129253,67135680,67183194,67295273,67316770,67328453,67413496,67543900,67590570,67888214,67891289,68351044,68556655,68586368,68878889,69271913,69334482,69615954,69640090,69956933,70087013,70306694,70346789,70573673,70717548,70735493,70767833,70965364,71086795,71155289,71316389,71611392,71637989,72071784,72096608,72214853,72337185,73292362,73481583,73650475,73995420,74119013,74276393,74385062,74613316,74747333,74862134,75029033,75216473,75229930,75434789,75527640,75840183,75901289,75963353,76056389,76273193,76381599,76458713,76520489,77150776,77159664,77351333,77949062,78652095,78765124,78928448,79267289,79282804,79658693,80018789,80172876,80547194,80562816,80780124,80843727,81052680,81080757,81108684,81151493,81270053,81595433,81801989,81949094,82267986,82496722,82541050,82650662,82766895,83350934,83568108,83614373,83616376,83643353,83895568,84210511,84968595,85048195,85304154,85408696,85424489,85623653,85679935,85876231,86049113,86218793,86456192,86472773,86758028,86782313,86794623,86804622,87062873,87130780,87202853,87478075,87755894,87966543,88284688,88287833,88380570,88794504,88867013,89141573,89196389,89387993,89595062,89787103,90014789,90275916,90632755,90633168,90739862,90772133,90825989,90930475,90983535,91184265,91196774,91228889,91576613,91791595,91949573,91976153,92641396,92690789,92743493,93006533,93034995,93660916,93686693,93749943,94068423,94235386,94272608,94382514,94605254,94745530,94773989,95059576,95235653,95443900,95734214,95827402,96084783,96176489,97006373,97049104,97084214,97231193,97263216,97380713,97728473,97877033,98173289,98419289,98622136,98652662,98661459,98982053,99009595,99049260,99237328,99320274,99893817,99926633,99950693,...,1119745200256078589420424150451824230496030092538791940745632282338723177499518859276326942038685778688848706688582881740979754370150488426677326816660089704781342347626162750332530856829732041423032319588165848812027403498535627227372389999642297227018743568358082727110414619273498170281883702585459397942698190261329842234478886268814827694197523886535896598005651282143493289758445740688389101255935546646799047881235364254437804144865290581719775867576231074041811468943540893002674144021812267855963671511816174455848425053707579481913385562489573265841876251079006301387647548303516506818317217008117576736200215213938457077320176103384513311391913508594788077447093912019882750351769467035308766611828600110092999137573529198548779497609587830938332913583873107657949443776560566891757312547380479656898724755922518359841191512191212483156306047758466947424103697697636736950716293581984218874526237398923090441181499644716362253354168448454312127899729109076876460979710966410259793633673352643922101381624346862594461238157356586613850005808324401825326396273071529560166005277858569151888869501464694818926761503723324834347879972144561691606439064285422363891985348830465205101905018665864480335068550023141688735939726863156558763652756304049459014570505041683916534021020746633221324919615104043111314591116429553714514894350460728153917585732093437786080085793180903593588478941564195825703759308174624003291479775415783089655592977664032546175405933809872326153097305335491343958672457052720680597457675943066595272432849395737014496488978571865220201814591606383478029799980167976757767807069912036585606849249138569847687161902267462532632258142786452534288403726121646040942378120216016111112535393686756715609055493616941106943684732032447258031436001682351968848678553232057576740413923057786621184843640741268096151438335771056959557132287994006379951448575828556736443841919226068710533644144351536701846197972981744564902331832387374054067460803796069667351478157546661968016569006804992048757544845575455378566962833559062495172581821929919874757732401366287696084590217284248368414517561869293776350570787668574545666340686611268337741506216186490077041216159725319219078313787403833362601923353814763052686914519745935131043537938182289561403343727987950951262853941555677001189580582605264319106227366312503671006023906080405224333501941299466173279346827682360105801303043333380550874992890579831559785929566589688650872779321372430961617762943997077554100125867589158033139965462968943588770150847820648770506928544605935891833049301675812537012158993687311843760796317106006284625623391048633409426444344950377517365992427603628295270106916467796642487418490056448673158920952083805769331390838876805231581861120382205861292678998405946129090072202303459800091553315975644097789333089258935846625220786743640952648192528056820919283270594630138040978681810482351079666597806893261587038996325858467508794234011962305574054132436084786161542730621826860005740949946506383596472664697673869312095679226785894682252552758008245200748106993722752248206223560370001895322457323104554183031283074818441368107831374862494337071680172125211851956274807023337569852676181151253835255416922171445806319185265219015664998407580096658079198643068463063252874927038882380839952134118871482162516038082311928427685869075697082832602070846496361389033082939483354359490475937343987239773237867322261271130908090657887305982368515860880096946217138436965766322107391453286708325239658638327388037818635912666928578747877311142834116108293603712035699452123775622145290722952210967841689780154559464515019603587195613501381281296960356328831549927746785942152361729681412164361935687650257042321289}
23335  69403666706262821933704746844915450731506429989159443828009709530278547382194: {46666,349905,373232,419886,769593,1142729,1632470,1958964,2214545,2332100,2657454,2774009,2798520,2864793,2985088,3148335,3333473,3358224,3701361,3778002,3962870,4309205,4755444,5055449,5171046,5641262,6032369,7097045,7222070,7942913,8410217,8485204,8516454,8617670,8666484,8781461,9117993,9184145,9386273,9458582,9610097,10179041,10341204,11020974,11961905,12019521,12121720,13012961,13512260,13636935,13728710,13931606,14354286,14359576,14546064,14733905,14860934,15049862,15317582,15884462,16032341,16146201,16154523,16214712,16364322,16365137,16421489,16474452,17379993,17561414,17680686,18190805,18215126,18241551,18611841,18670553,18881105,19231575,20218324,20251281,20356334,20513680,20625689,20779217,21271649,21460673,21478593,21828966,21882260,22021934,22562897,22657326,23013041,23015345,23077890,23459270,23576564,23987019,24616416,24741921,24783209,24815414,24967637,26258712,26482889,26774481,26931332,27131654,27618414,27693468,28151124,28555975,28883320,29284982,29465270,29541051,29610993,29719316,30388070,31244945,31630593,31897649,31928405,32232710,32406209,32493735,32621153,32839761,33195854,33635092,34094021,34143809,34267170,34659984,35358324,35653593,36021605,36318062,36427124,36465684,36551648,37027697,37183862,37493934,37827832,38201393,38314086,38456841,38490353,38679252,38743205,38947769,38992482,39276857,40009409,40433176,40433489,40452681,40794250,40991513,41120604,41504729,41995316,42137105,42556311,43006277,43225926,43420097,43634793,43739129,43885334,44428161,44476502,44886101,45487323,45568070,46034872,46077713,46491846,46873445,47183897,47525044,48776241,48776870,48953100,49073921,49107113,49472129,49816841,50108009,50564526,50662275,51061409,51529593,51789231,52216640,52896710,53213057,53853761,54039760,54145742,54151575,54681684,54982121,55444593,55639670,55716856,55955057,56055832,56248134,56262255,57434273,57697574,57761680,58169921,58172241,58277500,58532244,58743720,58986809,59292470,59469689,59640305,60013072,60189112,60794730,61017329,62028710,62108372,62311505,62484470,62659968,62681463,63062811,63084532,63103214,63209793,63476052,63537860,63804569,64847712,64981890,65286917,65585777,65907201,66086685,66591809,66767604,66964001,66978875,67264408,67506929,67514706,67712751,67892920,68720993,69062392,69083297,69307361,69314016,69627605,69933000,70124601,70284902,70492464,70674470,70888593,70921095,71150964,71473574,71568366,71582870,71615345,71726633,72312773,72648593,72944870,72953676,73036095,73164329,73325717,73408622,73555761,74080793,74084081,74434452,74595200,74732609,74773806,74921045,74981364,75074775,75280673,75649168,75672459,75961094,76043092,76071041,76245432,76379535,76427237,76944449,77229555,77249102,77351060,77695191,77728409,77905168,77978268,78169862,78217745,78674625,78838721,78981734,79226873,79304022,80079760,80191445,80374650,80616341,81006484,81117921,81471504,82378192,82488532,82832921,83048174,83177129,83268389,83369721,83553126,83717513,83919600,84168773,84266870,84429875,84434342,84760481,84809364,84917966,85105314,85438805,85732960,85776111,85899444,85938414,85986993,86175017,86294369,86687189,86832662,87105441,87405377,87533844,87643314,87717461,88396935,88680686,88706705,88797881,89145926,89446036,89514240,89577592,89795621,89905254,90089730,90120760,91137134,91487319,91655442,91745177,91891289,92254469,92445976,92494275,92675466,92821272,93033473,93266645,93386177,93442769,93521237,93861294,94105553,94290064,94409550,94512081,95247993,95481856,95612489,96095712,96229734,96294353,96438470,96449580,96541529,97083993,97150961,97196462,97816881,97975444,98390249,98398097,98456405,98660560,98914593,99103505,99625094,99935321,...,1492993600341438119227232200602432307328040123385055920994176376451630903332691812368435922718247704918464942251443842321306339160200651235569769088880119606375123130168217000443374475772976055230709759450887798416036537998047502969829853332856396302691658091144110302813886159031330893709178270113945863923597587015106456312638515025086436925596698515381195464007535042857991053011260987584518801674580728862398730508313819005917072193153720775626367823434974765389081958591387857336898858695749690474618228682421565941131233404943439309217847416652764354455835001438675068516863397738022009091089622677490102314933620285251276103093568137846017748522551344793050769929458549359843667135692622713745022149104800146790665516764705598065039330146117107917777218111830810210599258368747422522343083396507306209198299674563357813121588682921616644208408063677955929898804930263515649267621724775978958499368316531897453921575332859621816337805557931272416170532972145435835281306281288547013058178231136858562801842165795816792614984209808782151800007744432535767101861697428706080221340370478092202518492668619593091902348671631099779130506629526082255475252085713896485189313798440620273469206691554485973780091400030855584981252969150875411684870341738732612019427340055578555378694694328844295099892820138724148419454821906071619353192467280970871890114309457917048106781057574538124784638588752261100938345744232832004388639700554377452874123970218710061567207911746496434870796407113988458611563276070294240796610234590755460363243799194316019328651971429153626935752788808511304039733306890635677023742759882715447475798998851426463582882536356616710176344190381936712384538301495528054589837493621354814816713858249008954145407324822588142591579642709929677375248002243135958464904737642743435653885230743715494913124854321690794868584447694742612742843050658675173268598101104742315258455892301424947378192192468715602461597297308992753203109109849832072089947738394759556468637543395549290688758675739989398343393127433940504755950444745416660230109095906559833010309868488383594779453623045664491219356749159058368467427716891432727555120915481691116988674954915320102721621546300425625437751716538444483469231138419684070249219359661246841391383917576386081871124970650601268350471922074236001586107443473685758808303155083338228008031874773873632444669255065954897705795770243146807735070724444507401166657187439775413047906088786251534497039095163241282157017258662770072133501156785544044186620617291924785026867797094198360675904726141247855777399068901083382682878658249749125014395089474675046167497854731511212568592459933836689821323236804837727026809221957062189983224653408598230878561269445074359108521118502406975442481493842941148390238664541261505453429603071279733455404421300858797052444119011914462166961048991521270197590037409094559044360792840184054638242413976468106222130409191015449385328434477956678392312015949740765405509914779714882056974162435813340987933262008511461963552930231825749460905635714526243003403677344326934330809324963669664274964747160002527096609764139405577375044099757921824143775166483325782762240229500282469275033076031116759803568241535005113673889229561927741758913686958687553331210106795544105598190757950751003833236051843174453269512158495309550021384109749237903581158767596110443469427795328481852044110585977805812653967916458649653030983823096348361507877454210516407976491354481173462594956184582621021762809855271048944433652878184436517383758181216889238104997169748190445488144391471616047599269498367496193720963936281290455586373539412619353359471449594151335175041729280475105108733236995714589536482306241882885815914250200342723095052}
23336  69650994983029236349246141114420228666454717953663594591615106585235136975651: {69999,326578,466540,559848,606346,629829,1001599,1026124,1072306,1559023,1723978,1910026,2003026,2448705,2531743,2611952,2915125,2938446,2947543,3224383,3498150,3543272,3731360,3777199,3819724,3859666,3986181,4197780,4466599,4477632,4935148,4970578,5037336,5667003,5944305,6079186,6340592,6355978,6387343,6523999,6894728,7069903,7133166,7737778,7756569,8461893,8565199,8840626,10606505,10833105,11355272,11555312,12135346,12157324,12500146,12564629,12727806,12773578,12774681,12926505,12955786,12999726,13502026,13788272,14061823,14138578,14187873,14411146,14592778,14694632,15152150,15227986,15511806,16026028,16531461,16890325,17128906,17354023,17746063,17949470,18182580,18211978,19139048,19177999,19394752,19825999,19832266,20268390,20593065,20897409,20909578,21178546,21528268,21531429,21539364,21619616,21630823,21819096,21965936,22291401,22574793,22976373,23038999,23173324,23574248,23676199,23826693,23860306,24322068,24546483,24711678,24815788,24928978,25272905,25373578,25642100,26342121,26521029,26835199,26970826,27001708,27322689,27352825,27590578,27855946,28032778,28584583,28638124,29105288,29180626,29470705,30209768,30327486,30534501,30689863,30770520,30941266,31292626,31982692,32743449,32821888,32823390,32989228,33032901,33099353,33664165,33748063,33985989,34354303,34356106,34616835,34717183,34958743,35011616,35188905,35364846,35379029,35699308,36042199,36104150,36824552,36924624,37053106,37149145,37223121,37239199,37534832,37715983,37953943,38310343,38352586,39388068,39481324,39562186,39820978,40280513,40396998,40697481,41427621,41540202,41971978,42043865,42174124,42226686,42658186,43000423,43257778,43324980,43693999,43786348,43927473,44197905,44283826,44384983,44578974,45416599,45533905,45582105,45689560,45988786,46101103,46213312,46838866,47144432,47263306,47284790,47348146,47538124,47801023,47921929,48349065,48364978,48620912,48752249,49048853,49793781,49819543,49991912,50042383,50452638,50541470,50930863,51085448,51183509,51275788,51400755,51569746,51572336,51989976,52325386,52494145,52511438,52576978,52665473,53037486,53163466,53786599,53936908,54083506,54221623,54477093,54640686,54698526,54827472,55775793,56240901,56582866,56741748,57163978,57412786,57471129,57543590,57553999,57578578,57634568,58018878,58158346,58179724,58488723,58508503,58856357,59237548,59406305,60304906,60429593,60649764,61191375,61680906,61855063,61989128,62165023,62358706,62992974,63287081,63586186,63807199,64214863,64320946,64810066,64818853,64838889,64925503,65034988,65217226,65270800,65828001,66193022,66235903,66336199,66714753,66760786,66836599,66920789,67335199,67419368,67549700,68167022,68217778,68352105,68706124,68863666,68918623,69052308,69427978,69646070,69703423,69737769,69830578,70069790,70386343,70393546,70774999,71287566,71645263,72080918,72202100,72846875,72908912,73082743,73165305,73177999,73273183,73429650,73926124,74042089,74126599,74391946,74471506,74787401,74869066,74974183,74997512,75016340,75067999,75236390,75424978,75629383,75846789,75909103,76095223,76613578,77389999,77562988,77635465,77757343,77956306,78042992,78324960,78380393,78743986,78852463,78855665,79305703,79345065,79372978,79422325,79666999,80157778,80890229,81059640,81218613,81488266,82022526,82251943,82503806,82691503,82736266,82779199,83436466,83459505,83546624,83575284,83652199,84080510,84083748,84279724,84372201,84634736,84832978,84866150,85065226,85462063,85761106,85992778,86327990,86463616,86546361,86618246,86642520,86988103,87416250,87798366,87876268,88115580,88684978,88738999,88938705,89023472,89151199,89679946,90019608,90283668,90376999,90458143,90748426,90824626,91104703,91192095,91265623,91986199,92418688,93043065,93095503,93162558,93174199,93244000,93252823,93481546,93499468,93535022,93726705,93879223,93989952,94243478,94423543,94518124,94561460,94626798,94654821,94867952,95053865,95214078,95306790,95424488,95517778,95743306,95883199,95979317,96187183,96688825,96942103,97017199,97168306,97271568,97381460,97472835,97496126,97990666,98074348,98662066,99245936,99406546,99521513,99600199,99698408,99961999,99975152,...,2239490400512157178840848300903648460992060185077583881491264564677446354999037718552653884077371557377697413377165763481959508740300976853354653633320179409562684695252325500665061713659464082846064639176331697624054806997071254454744779999284594454037487136716165454220829238546996340563767405170918795885396380522659684468957772537629655388395047773071793196011302564286986579516891481376778202511871093293598095762470728508875608289730581163439551735152462148083622937887081786005348288043624535711927343023632348911696850107415158963826771124979146531683752502158012602775295096607033013636634434016235153472400430427876914154640352206769026622783827017189576154894187824039765500703538934070617533223657200220185998275147058397097558995219175661876665827167746215315898887553121133783514625094760959313797449511845036719682383024382424966312612095516933894848207395395273473901432587163968437749052474797846180882362999289432724506708336896908624255799458218153752921959421932820519587267346705287844202763248693725188922476314713173227700011616648803650652792546143059120332010555717138303777739002929389637853523007446649668695759944289123383212878128570844727783970697660930410203810037331728960670137100046283377471879453726313117527305512608098918029141010083367833068042041493266442649839230208086222629182232859107429029788700921456307835171464186875572160171586361807187176957883128391651407518616349248006582959550831566179311185955328065092350811867619744652306194610670982687917344914105441361194915351886133190544865698791474028992977957143730440403629183212766956059599960335953515535614139824073171213698498277139695374323804534925065264516285572905068576807452243292081884756240432032222225070787373513431218110987233882213887369464064894516062872003364703937697357106464115153480827846115573242369687281482536192302876671542113919114264575988012759902897151657113472887683838452137421067288288703073403692395945963489129804663664774748108134921607592139334702956315093323936033138013609984097515089691150910757133925667118124990345163643859839749515464802732575392169180434568496736829035123738587552701141575337149091332681373222536675483012432372980154082432319450638438156627574807666725203846707629526105373829039491870262087075876364579122806687455975901902525707883111354002379161165210528638212454732625007342012047812160810448667003882598932346558693655364720211602606086666761101749985781159663119571859133179377301745558642744861923235525887994155108200251735178316066279930925937887177540301695641297541013857089211871783666098603351625074024317987374623687521592634212012569251246782097266818852888689900755034731984855207256590540213832935593284974836980112897346317841904167611538662781677753610463163722240764411722585357996811892258180144404606919600183106631951288195578666178517871693250441573487281905296385056113641838566541189260276081957363620964702159333195613786523174077992651716935017588468023924611148108264872169572323085461243653720011481899893012767192945329395347738624191358453571789364505105516016490401496213987445504496412447120740003790644914646209108366062566149636882736215662749724988674143360344250423703912549614046675139705352362302507670510833844342891612638370530438031329996815160193316158397286136926126505749854077764761679904268237742964325032076164623856855371738151394165665204141692992722778066165878966708718980951874687974479546475734644522542261816181315774611964737031721760193892434276873931532644214782906573416650479317276654776075637271825333857157495754622285668232216587207424071398904247551244290581445904421935683379560309118929030039207174391227002762562593920712657663099855493571884304723459362824328723871375300514084642578}
23337  69899198873216128284245086949769915166944020502773437259002965357673920517721: {93332,489867,583175,699810,746464,839772,909519,1282655,1539186,1608459,2285458,2585967,2865039,3004539,3100363,3264940,3917928,3939559,4407669,4429090,4664200,4774655,5247225,5314908,5548018,5597040,5729586,5789499,5970176,6032887,6168935,6296670,6666946,6716448,7402722,7431743,7455867,7556004,7925740,8618410,9109127,9118779,9387079,9510888,9533967,9935863,10110898,10342092,10699749,11282524,11482463,11606667,12035243,12064738,12320939,12857803,13260939,14194090,14444140,15196655,15885826,16225463,16746667,16820434,16970408,17032908,17235340,17332968,17562922,18203019,18235986,18368290,18750219,18772546,18917164,19091709,19160367,19220194,19433679,19499589,19577639,20032535,20253039,20358082,20627467,20682408,21207867,21616719,21889167,22041948,22065199,22728225,22841979,23267709,23923810,24039042,24243440,25467127,25693359,26025922,26433547,26689543,26910335,26924205,27024520,27273870,27317967,27457420,27863212,28708572,28719152,28966655,29092128,29289247,29467810,29598523,29721868,29748399,30099724,30402585,30635164,31019735,31364367,31767819,31768924,32052625,32064682,32221483,32292402,32309046,32429424,32728644,32730274,32842978,32948904,33752135,34759986,34945823,35122828,35361372,35790459,35797655,36381610,36430252,36483102,37067517,37223682,37341106,37393467,37762210,38060367,38298247,38463150,39978365,40436648,40456239,40502562,40712668,41027360,41236535,41251378,41385867,41558434,41783919,42049167,42543083,42543298,42921346,42957186,42991099,43657932,43742923,43764520,43770939,44043868,44624135,44699767,45125794,45314652,45488599,45491229,46026082,46030690,46155780,46411899,46918540,46938939,47153128,47283847,47974038,48065839,49232832,49235085,49351655,49483842,49566418,49630828,49935274,50430247,51534159,51641903,52517424,52717655,52965778,53047269,53548962,53862664,54156225,54240487,54263308,54455479,54732935,55236828,55386936,55579659,56302248,56882923,57111950,57528879,57678203,57766640,58035679,58569964,58930540,58991947,59082102,59221986,59343279,59422655,59438632,59731467,60299399,60595497,60695723,60776140,62310303,62489890,62736127,62957967,63261186,63340029,63795298,63856810,63987279,64094735,64465420,64812418,64886667,64987470,65242306,65622823,65679522,66391708,66425739,66466123,66721259,66868461,66916987,67270184,67421135,68188042,68225663,68287618,68534340,68983179,69319968,69789463,70258299,70716648,70894959,70927185,71022219,71307186,71992703,72043210,72547467,72636124,72724655,72854248,72931368,73103296,74046935,74055394,74087179,74367724,74987868,75655664,75678957,75812205,76402786,76628172,76913682,76980706,77354619,77358504,77486410,77895538,77984964,78382663,78488079,78553714,78767157,78865467,79556229,79745199,80018818,80866352,80866978,80905362,81125259,81215719,81293735,81588500,81961029,81983026,82047789,82241208,83009458,83275567,83496427,83990632,84274210,84437125,84767839,84874299,85112622,85745967,85882655,86012554,86119179,86315385,86367867,86451852,86840194,87028317,87236107,87237519,87269586,87478258,87770668,88403767,88856322,88953004,89204159,89772202,90252625,90457359,90974646,91136140,91447607,91860847,92069744,92155426,92407655,92521359,92983692,93538059,93631759,93746890,93770425,93778103,94367794,94489461,94855183,95050088,95379279,96481419,96658859,96754687,96953735,97049783,97215099,97478647,97552482,97553740,97825839,97906200,98147423,98147842,98214226,98938879,98944258,99289533,99633682,99826603,...,3359235600768235768261272451355472691488090277616375822236896847016169532498556577828980826116057336066546120065748645222939263110451465280031980449980269114344027042878488250997592570489196124269096958764497546436082210495606881682117169998926891681056230705074248181331243857820494510845651107756378193828094570783989526703436658806444483082592571659607689794016953846430479869275337222065167303767806639940397143643706092763313412434595871745159327602728693222125434406830622679008022432065436803567891014535448523367545275161122738445740156687468719797525628753237018904162942644910549520454951651024352730208600645641815371231960528310153539934175740525784364232341281736059648251055308401105926299835485800330278997412720587595646338492828763492814998740751619322973848331329681700675271937642141438970696174267767555079523574536573637449468918143275400842272311093092910210852148880745952656623578712196769271323544498934149086760062505345362936383699187327230629382939132899230779380901020057931766304144873040587783383714472069759841550017424973205475979188819214588680498015833575707455666608504394084456780284511169974503043639916433685074819317192856267091675956046491395615305715055997593441005205650069425066207819180589469676290958268912148377043711515125051749602063062239899663974758845312129333943773349288661143544683051382184461752757196280313358240257379542710780765436824692587477111277924523872009874439326247349268966778932992097638526217801429616978459291916006474031876017371158162041792373027829199785817298548187211043489466935715595660605443774819150434089399940503930273303421209736109756820547747415709543061485706802387597896774428359357602865211178364938122827134360648048333337606181060270146827166480850823320831054196097341774094308005047055906546035659696172730221241769173359863554530922223804288454315007313170878671396863982019139854345727485670209331525757678206131600932433054610105538593918945233694706995497162122162202382411388209002054434472639985904049707020414976146272634536726366135700888500677187485517745465789759624273197204098863088253770651852745105243552685607881329051712363005723636999022059833805013224518648559470231123648479175957657234941362211500087805770061444289158060743559237805393130613814546868684210031183963852853788561824667031003568741747815792957318682098937511013018071718241215673000505823898398519838040483047080317403909130000141652624978671739494679357788699769065952618337964117292884853288831991232662300377602767474099419896388906830766310452543461946311520785633817807675499147905027437611036476981061935531282388951318018853876870173145900228279333034851132552097977282810884885810320749403389927462255470169346019476762856251417307994172516630415694745583361146617583878036995217838387270216606910379400274659947926932293367999267776807539875662360230922857944577584170462757849811783890414122936045431447053238999793420679784761116988977575402526382702035886916722162397308254358484628191865480580017222849839519150789417994093021607936287037680357684046757658274024735602244320981168256744618670681110005685967371969313662549093849224455324104323494124587483011215040516375635555868824421070012709558028543453761505766250766514337418957555795657046994995222740289974237595929205389189758624781116647142519856402356614446487548114246935785283057607227091248497806212539489084167099248818450063078471427812031961719319713601966783813392724271973661917947105547582640290838651415310897298966322174359860124975718975914982164113455907738000785736243631933428502348324880811136107098356371326866435872168856632903525069340463678393545058810761586840504143843890881068986494649783240357826457085189044236493085807062950771126963867}
23338  70148281456433610341512960447714561063980156090660300131291687622611004511367: {116665,139998,256597,396457,653156,933080,955177,1049715,1094677,1119696,1212692,1259658,1373461,2003198,2052248,2144612,2308779,3118046,3178537,3428187,3447956,3455161,3820052,4006052,4081175,4145461,4897410,5063486,5223904,5520661,5794837,5830250,5876892,5895086,5931817,6448766,6479017,6643635,6996300,7086544,7161397,7297657,7462720,7554398,7639448,7719332,7972362,8322027,8395560,8594379,8933198,8955264,9197737,9445005,9870296,9872917,9907175,9941156,10000419,10074672,10546297,10680757,10949461,11104083,11334006,11887657,11888610,12158372,12681184,12711956,12774686,12927615,12955561,13047998,13354837,13620661,13789456,14018857,14103155,14139806,14266332,14548777,14681077,14849107,14945461,15166347,15475556,15513138,15868537,16263061,16923786,17130398,17681252,17965177,18055175,18097107,18616597,19266217,20817961,21075577,21204277,21213010,21291135,21544175,21666210,21718357,22710544,22998517,23110624,23635897,23646455,23828739,24270692,24271477,24314648,24651961,25000292,25129258,25230651,25455612,25547156,25549362,25853010,25911572,25999452,26167417,26344383,27004052,27171961,27353979,27552435,27576544,27797461,28123646,28158819,28277156,28375746,28670137,28794517,28822292,28830291,29185556,29389264,29910697,30304300,30455972,30537123,30897961,31023612,31266997,32052056,32492437,32736661,33062922,33780650,34195957,34257812,34321775,34708046,34800937,34829015,35382067,35492126,35524537,35885715,35898940,36058563,36365160,36423956,37152335,37202857,37624655,38278096,38293955,38355998,38789504,39038883,39651998,39664532,39693877,39711155,40164757,40536780,40910805,41186130,41258987,41336917,41794818,41819156,42357092,42617977,43056536,43062858,43078728,43239232,43261646,43638192,43903535,43931872,44005561,44201715,44582802,44810197,45149586,45537815,45952746,46077998,46346648,47129831,47148496,47202937,47352398,47653386,47720612,48097023,48438603,48463569,48644136,49092966,49095411,49264467,49423356,49452217,49631576,49857956,50232661,50545810,50566057,50747156,50890835,51009577,51284200,51341461,52008803,52139979,52662517,52684242,52991161,53042058,53537461,53559803,53670398,53755477,53941652,54003416,54299257,54572415,54645378,54705650,54724653,54949417,55054835,55181156,55704661,55711892,55835523,55919797,56011659,56065556,56635007,56643315,57169166,57276248,57311161,57694725,58210576,58361252,58584697,58648175,58861411,58941410,59217577,59742997,59952661,60419536,60475561,60654972,60753843,61069002,61204597,61379726,61541040,61723177,61877067,61882532,62038535,62337651,62549161,62585252,63063061,63370537,63747467,63814947,63965384,64289077,64382019,64435779,64593961,64796857,64824419,65486898,65643776,65646780,65978456,66065802,66198706,66909877,67109461,67328330,67496126,67607161,67688691,67829135,67971978,68597161,68708606,68712212,69039123,69046035,69233670,69434366,69917486,70023232,70377810,70729692,70758058,71398616,71961057,72084398,72208300,72293497,73212455,73491803,73629097,73649104,73663175,73723957,73849248,73913461,74048447,74106212,74197177,74225763,74298290,74349627,74446242,74478398,74793823,74902911,75069664,75431966,75512617,75907886,75970175,75978997,76072057,76536277,76604099,76620686,76705172,77643061,78101161,78557461,78776136,78962648,79124372,79283797,79448667,79641956,79735417,80323443,80561026,80581775,80633257,80793996,81257461,81394962,82407337,82752923,82855242,82989635,83080404,83168827,83196277,83632057,83943956,84087730,84348248,84453372,85316372,85667925,86000846,86515556,86649960,86716537,87387998,87504287,87572696,87854946,87890857,88306837,88395810,88567652,88623153,88769966,88832979,88968661,89157948,89215657,90034297,90795155,90833198,90845737,91067810,91164210,91248757,91379120,91809961,91977572,92202206,92367637,92426624,92763817,92842837,92959655,93629077,93677732,93734835,94175161,94288864,94526612,94569580,94696292,94891779,95076248,95103097,95333461,95563177,95602046,95692947,95785215,95843858,96248437,96626617,96698130,96729956,96852661,97078057,97218627,97241824,97481205,97504498,97863459,98097706,98121337,98490517,98519283,99223477,99587562,99639086,99983824,...,4478980801024314357681696601807296921984120370155167762982529129354892709998075437105307768154743114755394826754331526963919017480601953706709307266640358819125369390504651001330123427318928165692129278352663395248109613994142508909489559998569188908074974273432330908441658477093992681127534810341837591770792761045319368937915545075259310776790095546143586392022605128573973159033782962753556405023742186587196191524941457017751216579461162326879103470304924296167245875774163572010696576087249071423854686047264697823393700214830317927653542249958293063367505004316025205550590193214066027273268868032470306944800860855753828309280704413538053245567654034379152309788375648079531001407077868141235066447314400440371996550294116794195117990438351323753331654335492430631797775106242267567029250189521918627594899023690073439364766048764849932625224191033867789696414790790546947802865174327936875498104949595692361764725998578865449013416673793817248511598916436307505843918843865641039174534693410575688405526497387450377844952629426346455400023233297607301305585092286118240664021111434276607555478005858779275707046014893299337391519888578246766425756257141689455567941395321860820407620074663457921340274200092566754943758907452626235054611025216197836058282020166735666136084082986532885299678460416172445258364465718214858059577401842912615670342928373751144320343172723614374353915766256783302815037232698496013165919101663132358622371910656130184701623735239489304612389221341965375834689828210882722389830703772266381089731397582948057985955914287460880807258366425533912119199920671907031071228279648146342427396996554279390748647609069850130529032571145810137153614904486584163769512480864064444450141574747026862436221974467764427774738928129789032125744006729407875394714212928230306961655692231146484739374562965072384605753343084227838228529151976025519805794303314226945775367676904274842134576577406146807384791891926978259609327329549496216269843215184278669405912630186647872066276027219968195030179382301821514267851334236249980690327287719679499030929605465150784338360869136993473658070247477175105402283150674298182665362746445073350966024864745960308164864638901276876313255149615333450407693415259052210747658078983740524174151752729158245613374911951803805051415766222708004758322330421057276424909465250014684024095624321620897334007765197864693117387310729440423205212173333522203499971562319326239143718266358754603491117285489723846471051775988310216400503470356632132559861851875774355080603391282595082027714178423743567332197206703250148048635974749247375043185268424025138502493564194533637705777379801510069463969710414513181080427665871186569949673960225794692635683808335223077325563355507220926327444481528823445170715993623784516360288809213839200366213263902576391157332357035743386500883146974563810592770112227283677133082378520552163914727241929404318666391227573046348155985303433870035176936047849222296216529744339144646170922487307440022963799786025534385890658790695477248382716907143578729010211032032980802992427974891008992824894241480007581289829292418216732125132299273765472431325499449977348286720688500847407825099228093350279410704724605015341021667688685783225276741060876062659993630320386632316794572273852253011499708155529523359808536475485928650064152329247713710743476302788331330408283385985445556132331757933417437961903749375948959092951469289045084523632362631549223929474063443520387784868553747863065288429565813146833300958634553309552151274543650667714314991509244571336464433174414848142797808495102488581162891808843871366759120618237858060078414348782454005525125187841425315326199710987143768609446918725648657447742750601028169285156}
23339  70398245823052017941741095473826858174781563548554354893599587949419042881334: {23339,186664,209997,816445,979734,1166350,1399620,1492928,1515865,1679544,1795717,1819038,1889487,2565310,2680765,3004797,3078372,3216918,4309945,4359157,4570916,4677069,4775065,5007565,5171934,5730078,6009078,6200726,6529880,6684517,7346115,7595229,7835856,7879118,7944277,8636509,8745375,8782969,8815338,8842629,8858180,9328400,9479437,9549310,9649165,9673149,10180789,10494450,10629816,11096036,11194080,11331597,11459172,11483449,11578998,11940352,11958543,12065774,12274357,12321997,12337870,12426445,12593340,12833341,13333892,13399797,13432896,14223469,14805444,14863486,14911734,15101581,15112008,15197965,15851480,15889945,17001009,17016949,17236820,17832915,18134341,18218254,18237558,18774158,19021776,19067934,19162029,19344445,19571997,19810429,19871726,20221796,20684184,20927821,20965369,21209709,21275317,21399498,22101565,22565048,22964926,23213334,23269707,24070486,24129476,24641878,25153789,25385679,25695597,25715606,25805197,26521878,27666841,28045549,28063957,28388180,28888280,30338365,30393310,31250365,31771652,31819515,31933945,32389465,32411797,32450926,32499315,33426877,33493334,33640868,33755065,33940816,34065816,34470680,34665936,35125844,35346445,35455981,36027865,36406038,36471972,36481945,36736580,37500438,37545092,37674469,37693887,37834328,37880375,38069965,38183418,38320734,38324043,38440388,38779515,38867358,38999178,39155278,39782461,40065070,40506078,40553317,40716164,41254934,41299609,41364816,42185469,42415734,42563619,42822265,43233438,43427629,43778334,44083896,44130398,44584489,44804677,44873675,45456450,45529945,45683958,46535418,47252989,47545669,47847620,48078084,48486880,49580665,49594383,50116717,50124877,50278189,50670975,50934254,51386718,52051844,52062069,52273945,52867094,52946365,53238189,53379086,53654557,53820670,53848410,54049040,54547740,54635934,54914840,55726424,55907389,55969711,57117349,57417144,57438304,57533997,57717421,57731149,57933310,58184256,58186381,58578494,58697209,58935620,59197046,59443736,59477997,59496798,59650765,60199448,60304597,60805170,61203637,61270328,61779195,62039470,62322445,62473789,62692227,62728734,63433945,63535638,63537848,64105250,64129364,64173589,64442966,64584804,64594287,64618092,64858848,64892469,65221717,65457288,65460548,65685956,65897808,66874203,67427065,67504270,67613797,67724379,67735069,67979161,68165149,68231581,68732917,68929119,68976445,69092317,69116997,69519972,69639865,69891646,70081945,70245656,70424149,70722744,71028597,71480079,71580918,71595310,71731309,71998909,72630829,72763220,72860504,72951565,72966204,73338361,73639449,73804717,74135034,74447364,74682212,74786934,75106357,75524420,75818715,76016569,76120734,76596494,76626109,76926300,76957717,77353165,77741917,78231565,78741157,78852397,79026363,79393309,79563087,79956730,80239357,80505597,80630329,80873296,80912478,81005124,81425336,81968067,82054720,82058475,82473070,82502756,82771734,83116868,83191717,83567838,83627149,84098334,84689641,85086166,85086596,85753749,85842692,85890265,85914372,85982198,86702137,87315864,87485846,87529040,87541878,87568309,88087736,88412115,89248270,89399534,89732629,90251588,90260375,90538309,90629304,90977198,90982458,91603503,92052164,92061380,92066329,92069589,92085997,92270377,92311560,92632765,92693557,92823798,93837080,93877878,94306256,94389589,94562857,94567694,95881465,95948076,96058777,96131678,96953209,97058149,97222501,98230347,98443957,98465664,98470170,98703310,98905465,98967684,99098703,99132836,99261656,99298059,99552445,99870548,...,6718471201536471536522544902710945382976180555232751644473793694032339064997113155657961652232114672133092240131497290445878526220902930560063960899960538228688054085756976501995185140978392248538193917528995092872164420991213763364234339997853783362112461410148496362662487715640989021691302215512756387656189141567979053406873317612888966165185143319215379588033907692860959738550674444130334607535613279880794287287412185526626824869191743490318655205457386444250868813661245358016044864130873607135782029070897046735090550322245476891480313374937439595051257506474037808325885289821099040909903302048705460417201291283630742463921056620307079868351481051568728464682563472119296502110616802211852599670971600660557994825441175191292676985657526985629997481503238645947696662659363401350543875284282877941392348535535110159047149073147274898937836286550801684544622186185820421704297761491905313247157424393538542647088997868298173520125010690725872767398374654461258765878265798461558761802040115863532608289746081175566767428944139519683100034849946410951958377638429177360996031667151414911333217008788168913560569022339949006087279832867370149638634385712534183351912092982791230611430111995186882010411300138850132415638361178939352581916537824296754087423030250103499204126124479799327949517690624258667887546698577322287089366102764368923505514392560626716480514759085421561530873649385174954222555849047744019748878652494698537933557865984195277052435602859233956918583832012948063752034742316324083584746055658399571634597096374422086978933871431191321210887549638300868178799881007860546606842419472219513641095494831419086122971413604775195793548856718715205730422356729876245654268721296096666675212362120540293654332961701646641662108392194683548188616010094111813092071319392345460442483538346719727109061844447608576908630014626341757342793727964038279708691454971340418663051515356412263201864866109220211077187837890467389413990994324244324404764822776418004108868945279971808099414040829952292545269073452732271401777001354374971035490931579519248546394408197726176507541303705490210487105371215762658103424726011447273998044119667610026449037297118940462247296958351915314469882724423000175611540122888578316121487118475610786261227629093737368420062367927705707577123649334062007137483495631585914637364197875022026036143436482431346001011647796797039676080966094160634807818260000283305249957343478989358715577399538131905236675928234585769706577663982465324600755205534948198839792777813661532620905086923892623041571267635615350998295810054875222072953962123871062564777902636037707753740346291800456558666069702265104195954565621769771620641498806779854924510940338692038953525712502834615988345033260831389491166722293235167756073990435676774540433213820758800549319895853864586735998535553615079751324720461845715889155168340925515699623567780828245872090862894106477999586841359569522233977955150805052765404071773833444324794616508716969256383730961160034445699679038301578835988186043215872574075360715368093515316548049471204488641962336513489237341362220011371934743938627325098187698448910648208646988249174966022430081032751271111737648842140025419116057086907523011532501533028674837915111591314093989990445480579948475191858410778379517249562233294285039712804713228892975096228493871570566115214454182496995612425078978168334198497636900126156942855624063923438639427203933567626785448543947323835894211095165280581677302830621794597932644348719720249951437951829964328226911815476001571472487263866857004696649761622272214196712742653732871744337713265807050138680927356787090117621523173681008287687781762137972989299566480715652914170378088472986171614125901542253927734}
23340  70649095074239258979324653260297006033834964217152524025801834041182007554364: {163331,233330,279996,303251,443099,513194,676019,792914,1001771,1094771,1306312,1420019,1469601,1652099,1749525,1866160,1910354,2069339,2099430,2189354,2239392,2425384,2519316,2624651,2728557,2746922,3040379,3178811,3224939,3501539,3847965,3869891,4006396,4007891,4104496,4191779,4289224,4559171,4617558,4825377,5155091,5566859,5713645,6206099,6236092,6357074,6388451,6479579,6525131,6856374,6895912,6910322,7162019,7207451,7640104,7752011,7757901,7978571,8012104,8162350,8290922,8431091,8595117,8702219,9013617,9108371,9301089,9603899,9794820,9918731,10053539,10126972,10447808,10592051,10950419,11041322,11072725,11129411,11589674,11660500,11753784,11790172,11818677,11863634,11933291,12690131,12823451,12897532,12958034,13001099,13223007,13287270,13621859,13666139,13870045,13931651,13992600,14064299,14173088,14322794,14323965,14329379,14550059,14594171,14595314,14925440,14990819,15108796,15278896,15438664,15741675,15869939,15944724,16264499,16439651,16644054,16667365,16791120,17188758,17357099,17368497,17444291,17866396,17910528,17966771,18098661,18227579,18395474,18506805,18661619,18878339,18890010,19267931,19311179,19740592,19744417,19745834,19814350,19882312,19915811,20000838,20149344,20346731,21092594,21361514,21546025,21720299,21898922,22147859,22208166,22275971,22295229,22367601,22668012,23043131,23383259,23638019,23680451,23775314,23777220,23807699,24315971,24316744,25277245,25362368,25423912,25539539,25549372,25855230,25911122,26095996,26169779,26295611,26421371,26709674,26923691,27174419,27216179,27241322,27327381,27356337,27578912,27591659,28037714,28161237,28174451,28206310,28279612,28423739,28532664,28601901,28672739,28714211,29097554,29211251,29362154,29698214,29807589,29890922,30161845,30332694,30951112,31026276,31310819,31679171,31737074,31924379,32099247,32373179,32526122,32536139,32739659,33105037,33227291,33835211,33847572,34118291,34260796,34441331,34447389,34804139,34820001,35045651,35327051,35362504,35485225,35928731,35930354,36105729,36110350,36128891,36194214,36648371,36962817,37233194,37246091,37603859,37842011,38317451,38436131,38532434,38573409,38989019,39225491,39697571,39714565,39782817,40207691,40872731,41379731,41635922,41691059,42051085,42151154,42408554,42426020,42544571,42582270,42660659,43008491,43088350,43201451,43332420,43436714,43894451,43907305,44852651,45158219,45421088,45589965,45615611,45767819,45920725,45997034,46221248,46931365,47245139,47271794,47292910,47471339,47657478,47885291,48035579,48050485,48541384,48542954,48560579,48629296,48676389,48760621,49121339,49303922,49456931,49829051,49903379,50000584,50126171,50240001,50258516,50459819,50461302,50895205,50911224,50940611,51014459,51094312,51098724,51493691,51706020,51823144,51998904,52013269,52334834,52667579,52674517,52688766,53032739,53611537,53760659,53796971,54008104,54087179,54304499,54343922,54521531,54609057,54707958,54774371,54990779,55104870,55153088,55314851,55594922,55595617,55710059,55961051,56247292,56247419,56250657,56317638,56461859,56554312,56751492,57103451,57275127,57316739,57340274,57352259,57458771,57481101,57589034,57644584,57660582,57848699,58096331,58301037,58371112,58498767,58519931,58590419,58732917,58778528,59223371,59433779,59809525,59821394,60097605,60516299,60608600,60759117,60911944,61002659,61074246,61464949,61795922,61882401,62047224,62383619,62533994,62898179,63103499,63297949,63623601,63752941,63819851,63887891,64104112,64295459,64735691,64850157,64984874,65064805,65309339,65473322,65667501,66125844,66195597,66449699,66616619,66849971,66916571,66932281,67149419,67561300,67647059,68010851,68184675,68391914,68515624,68525937,68604059,68643550,69416092,69423659,69601874,69658030,69803127,69880451,70075739,70205771,70756979,70764134,70984252,71049074,71247169,71273651,71434691,71563379,71756171,71771430,71797880,72012779,72117126,72730320,72847912,73669525,73763099,74204771,74304670,74405714,74770331,75052139,75239651,75249310,75458051,75924731,75986819,76079891,76110899,76172891,76401381,76556192,76587910,76610677,76711996,76852691,77076769,77080077,77467331,77579008,77681699,78077766,78139739,78474491,78747659,79292051,79300641,79303996,79322219,79329064,79382531,79387754,79422310,79743731,79773779,80043851,80068629,80161705,80329514,80402939,80671499,80731005,80772615,81073560,81177011,81265979,81295619,81443699,81709739,81821610,81825685,81953901,82107445,82269251,82372260,82445339,82517974,82673834,82760029,83589636,83638312,83640899,83669891,83930459,84507179,84714184,85235954,85451771,85736291,85963331,86076659,86113072,86125716,86157456,86161571,86478464,86500499,86523292,86753939,86853949,86894459,86899965,87276384,87314819,87511801,87649811,87807070,87863744,87867741,87928091,88011122,88403430,88795569,88813211,88978259,89005739,89165604,89225291,89245197,89620394,90206939,90299172,90532117,90936371,90954025,91075630,91207755,91285499,91339091,91526411,91686659,91846619,91905492,92155996,92218739,92377739,92488561,92693296,92853011,93059205,93115931,93352765,93951899,94093101,94259662,94289171,94296992,94405525,94405874,94444379,94704796,94960789,95303457,95306772,95344019,95369579,95441224,95573771,96157875,96194046,96259139,96637379,96664449,96877206,96927138,97088891,97113899,97263779,97288272,97338611,97488059,97798909,97835651,98132339,98157011,98185932,98190822,98528934,98820131,98846712,98904434,99234659,99263152,99715912,...,10077706802304707304783817354066418074464270832849127466710690541048508597495669733486942478348172008199638360197245935668817789331354395840095941349940807343032081128635464752992777711467588372807290876293492639308246631486820645046351509996780675043168692115222744543993731573461483532536953323269134581484283712351968580110309976419333449247777714978823069382050861539291439607826011666195501911303419919821191430931118278289940237303787615235477982808186079666376303220491868037024067296196310410703673043606345570102635825483368215337220470062406159392576886259711056712488827934731648561364854953073058190625801936925446113695881584930460619802527221577353092697023845208178944753165925203317778899506457400990836992238161762786939015478486290478444996222254857968921544993989045102025815812926424316912088522803302665238570723609720912348406754429826202526816933279278730632556446642237857969870736136590307813970633496802447260280187516036088809151097561981691888148817398697692338142703060173795298912434619121763350151143416209279524650052274919616427937566457643766041494047500727122366999825513182253370340853533509923509130919749301055224457951578568801275027868139474186845917145167992780323015616950208275198623457541768409028872874806736445131131134545375155248806189186719698991924276535936388001831320047865983430634049154146553385258271588840940074720772138628132342296310474077762431333833773571616029623317978742047806900336798976292915578653404288850935377875748019422095628052113474486125377119083487599357451895644561633130468400807146786981816331324457451302268199821511790819910263629208329270461643242247128629184457120407162793690323285078072808595633535094814368481403081944145000012818543180810440481499442552469962493162588292025322282924015141167719638106979088518190663725307520079590663592766671412865362945021939512636014190591946057419563037182457010627994577273034618394802797299163830316615781756835701084120986491486366486607147234164627006163303417919957712149121061244928438817903610179098407102665502031562456553236397369278872819591612296589264761311955558235315730658056823643987155137089017170910997066179501415039673555945678410693370945437527872971704824086634500263417310184332867474182230677713416179391841443640606052630093551891558561365685474001093010706225243447378871956046296812533039054215154723647019001517471695195559514121449141240952211727390000424957874936015218484038073366099307197857855013892351878654559866495973697986901132808302422298259689166720492298931357630385838934562356901453423026497443715082312833109430943185806593847166853954056561630610519437700684837999104553397656293931848432654657430962248210169782386766410508038058430288568754251923982517549891247084236750083439852751634110985653515161810649820731138200823979843780796880103997803330422619626987080692768573833732752511388273549435351671242368808136294341159716999380262039354283350966932726207579148106107660750166487191924763075453884575596441740051668549518557452368253982279064823808861113041073052140272974822074206806732962943504770233856012043330017057902115907940987647281547673365972312970482373762449033645121549126906667606473263210038128674085630361284517298752299543012256872667386971140984985668220869922712787787616167569275874343349941427559569207069843339462644342740807355849172821681273745493418637618467252501297746455350189235414283436095885157959140805900351440178172815920985753841316642747920872515954245932691896898966523079580374927156927744946492340367723214002357208730895800285507044974642433408321295069113980599307616506569898710575208021391035180635176432284760521512431531672643206959483949349721073479371255567132709479257421188852313380891601}
23341  70900832321998292270359567791665662631461166417948188785038506904518228706387: {46678,349995,373328,419994,769791,1143023,1189371,1632890,1959468,2122211,2332700,2799240,2865531,2985856,3031730,3149145,3284031,3359088,3591434,3638076,3753071,3778974,4120383,4871999,5007995,5130620,5151731,5361530,6009594,6033923,6156744,6433836,6685091,6926337,7010591,7795115,8619890,8718314,9141832,9354138,9388691,9480251,9535611,9550130,10015130,10284561,10343868,10365483,11202971,11460156,12018156,12243525,12275411,12401452,12436383,12658715,12834443,13059760,13369034,13508831,13718399,14575625,14692230,14737715,15190458,15613499,15671712,15758236,15888554,16121915,16561983,17273018,17384511,17397023,17490750,17565938,17630676,17685258,17716360,17795451,17847323,18656800,18885995,18958874,19018943,19098620,19298330,19346298,19437051,19930905,20205119,20361578,20988900,21259632,21277151,21484191,21892971,22192072,22245923,22332995,22371119,22388160,22663194,22918344,22966898,23157996,23431883,23880704,23917086,24131548,24548714,24643994,24675740,24852890,24966081,25186680,25666682,25783137,26316191,26667784,26799594,26865792,27082223,27593211,28335015,28446938,28854491,29016443,29574899,29610888,29618751,29721525,29726972,29823468,30001257,30203162,30224016,30395930,30497051,30942191,31365599,31638891,31702960,31779890,31936715,32042271,32414591,32619995,32848383,33312249,34002018,34033898,34473640,35349515,35662971,35665830,35829791,36268682,36436508,36475116,37548316,38043552,38135868,38301323,38304851,38324058,38688890,38782845,38866683,39143994,39504491,39620858,39743452,40019771,40064511,40443592,40861983,41131019,41368368,41538431,41855642,41902523,41930738,42056571,42309465,42419418,42473711,42526079,42550634,42798996,42825995,43646331,43750511,44043231,44203130,44547321,44707523,44836383,45130096,45345251,45499041,45595211,45929852,46426668,46539414,46990271,47257091,47605611,48140972,48258952,48789183,49283756,49485023,49829723,50082323,50307578,50439011,50633759,50771358,51074723,51391194,51431212,51610394,53032525,53043756,53297951,53895531,54165525,54291321,55333682,55849791,56091098,56127914,56776360,57776560,57798651,58184963,59238491,59485091,59763071,59951171,60676730,60786620,61832723,62453883,62500730,62823145,63226731,63409931,63543304,63612831,63639030,63741923,63867890,63873405,64632525,64778930,64823594,64901852,64998630,65155071,65602763,66853754,66986668,67281736,67510130,67881632,68131632,68738879,68765723,68941360,68995551,69325283,69331872,69412931,69518411,70242491,70251688,70309115,70692890,70907691,70911962,70912031,70939365,71211011,71486217,71723423,72055730,72331571,72667379,72812076,72814431,72943944,72963890,73141823,73183523,73344683,73473160,73955883,74124911,75000876,75090184,75092891,75348938,75387774,75668656,75691953,75760750,75892811,76139930,76366836,76641468,76648086,76880776,76964351,77080211,77559030,77734716,77998356,78310556,78396179,78502251,78709343,79033149,79247531,79564922,80130140,80458991,80637323,81012156,81106634,81229811,81259091,81432328,81515883,82061937,82509868,82599218,82657305,82729632,83392383,83511071,83942399,84370938,84451625,84476457,84831468,85127238,85235051,85644530,86010411,86383551,86466876,86490873,86709611,86770115,86855258,87251423,87556668,88167792,88260796,88419011,88730315,88807523,88820843,89168978,89609354,89732091,89747350,90912900,91059890,91367916,91611369,91836923,91876811,92278331,92693883,92701631,93057731,93070836,93410363,93800991,94397891,94505978,94828331,95091338,95695240,95889995,96156168,96567023,96771371,96973760,97176083,97477311,97495811,97870463,97960931,98114723,98209983,98415731,99129995,99161330,99188766,99961163,...,13436942403072943073045089805421890765952361110465503288947587388064678129994226311315923304464229344266184480262994580891757052441805861120127921799921076457376108171513953003990370281956784497076387835057990185744328841982427526728468679995707566724224922820296992725324975431281978043382604431025512775312378283135958106813746635225777932330370286638430759176067815385721919477101348888260669215071226559761588574574824371053253649738383486980637310410914772888501737627322490716032089728261747214271564058141794093470181100644490953782960626749874879190102515012948075616651770579642198081819806604097410920834402582567261484927842113240614159736702962103137456929365126944238593004221233604423705199341943201321115989650882350382585353971315053971259994963006477291895393325318726802701087750568565755882784697071070220318094298146294549797875672573101603369089244372371640843408595522983810626494314848787077085294177995736596347040250021381451745534796749308922517531756531596923117523604080231727065216579492162351133534857888279039366200069699892821903916755276858354721992063334302829822666434017576337827121138044679898012174559665734740299277268771425068366703824185965582461222860223990373764020822600277700264831276722357878705163833075648593508174846060500206998408252248959598655899035381248517335775093397154644574178732205528737847011028785121253432961029518170843123061747298770349908445111698095488039497757304989397075867115731968390554104871205718467913837167664025896127504069484632648167169492111316799143269194192748844173957867742862382642421775099276601736357599762015721093213684838944439027282190989662838172245942827209550391587097713437430411460844713459752491308537442592193333350424724241080587308665923403293283324216784389367096377232020188223626184142638784690920884967076693439454218123688895217153817260029252683514685587455928076559417382909942680837326103030712824526403729732218440422154375675780934778827981988648488648809529645552836008217737890559943616198828081659904585090538146905464542803554002708749942070981863159038497092788816395452353015082607410980420974210742431525316206849452022894547996088239335220052898074594237880924494593916703830628939765448846000351223080245777156632242974236951221572522455258187474736840124735855411415154247298668124014274966991263171829274728395750044052072286872964862692002023295593594079352161932188321269615636520000566610499914686957978717431154799076263810473351856469171539413155327964930649201510411069896397679585555627323065241810173847785246083142535271230701996591620109750444145907924247742125129555805272075415507480692583600913117332139404530208391909131243539543241282997613559709849021880677384077907051425005669231976690066521662778982333444586470335512147980871353549080866427641517601098639791707729173471997071107230159502649440923691431778310336681851031399247135561656491744181725788212955999173682719139044467955910301610105530808143547666888649589233017433938512767461922320068891399358076603157671976372086431745148150721430736187030633096098942408977283924673026978474682724440022743869487877254650196375396897821296417293976498349932044860162065502542223475297684280050838232114173815046023065003066057349675830223182628187979980890961159896950383716821556759034499124466588570079425609426457785950192456987743141132230428908364993991224850157956336668396995273800252313885711248127846877278854407867135253570897087894647671788422190330561163354605661243589195865288697439440499902875903659928656453823630952003142944974527733714009393299523244544428393425485307465743488675426531614100277361854713574180235243046347362016575375563524275945978599132961431305828340756176945972343228251803084507855468}
23342  71153460689204735234004623067280734227208877304831909425769648567799012897892: {70017,326662,466660,559992,606502,629991,722641,886198,1026388,1352038,1585828,1698637,2003542,2189542,2449335,2612624,2840038,2915875,2939202,3225217,3304198,3499050,3732320,3820708,4138678,4198860,4378708,4478784,4547595,4605457,4850768,4880641,5038632,5249302,5387151,5457114,5493844,5668461,6080758,6252241,6357622,6413275,6449878,6525697,7003078,7208077,7616641,7695930,7739782,7999103,8012792,8015782,8024557,8042295,8208992,8383558,8578448,8702977,9014391,9118342,9235116,9649741,9650754,10310182,11133718,11427290,12412198,12472184,12714148,12776902,12929835,12959158,13050262,13077471,13667341,13712748,13791824,13820644,14031207,14324038,14325195,14414902,14595457,15022695,15256237,15280208,15501815,15504022,15515802,15651841,15957142,16024208,16324700,16581844,16862182,17190234,17358637,17404438,18027234,18216742,18272641,18602178,19207798,19312897,19418063,19589640,19697795,19837462,20053551,20107078,20253944,20895616,21184102,21900838,22038345,22082644,22145450,22258822,22785687,23172817,23179348,23321000,23334311,23427841,23507568,23580344,23637354,23682577,23727268,23809837,23832831,23866582,23873275,25380262,25583917,25646902,25795064,25909527,25916068,25962241,26002198,26236125,26348907,26446014,26527887,26574540,26842477,27218641,27243718,27332278,27594157,27740090,27863302,27985200,28128598,28218577,28346176,28438311,28467841,28645588,28647930,28658758,28716817,28947495,29019447,29100118,29188342,29190628,29850880,29981638,30164435,30217592,30328141,30542367,30557792,30698257,30844675,30877328,31483350,31739878,31889448,32172241,32416897,32528998,32879302,33288108,33334730,33582240,33635857,33994791,34377516,34450347,34714198,34736994,34888582,35388143,35732792,35821056,35875629,35933542,36172237,36197322,36455158,36651757,36790948,36823071,36965991,37013610,37158715,37279335,37323238,37607341,37756678,37780020,37845517,38439697,38500023,38535862,38622358,39481184,39488834,39491668,39628700,39764624,39831622,39976141,40001676,40199391,40298688,40693462,41733841,42185188,42226583,42670407,42723028,43092050,43244077,43440598,43797844,44295718,44416332,44551942,44590458,44735202,45200641,45304743,45336024,45545635,45593895,46086262,46114177,46569217,46766518,46909741,46935395,47276038,47360902,47550628,47554440,47615398,47669835,48040141,48602641,48631942,48633488,49163341,49679315,49945297,50554490,50724736,50847824,51003027,51050847,51079078,51098744,51710460,51822244,52191992,52339558,52591222,52842742,53419348,53498745,53802157,53847382,54348838,54403023,54432358,54482644,54654762,54712674,55157824,55183318,55600391,56075428,56288641,56322474,56348902,56412620,56559224,56610157,56847478,57065328,57203802,57345478,57357841,57412315,57428422,57486087,58033335,58101997,58195108,58422502,58715991,58724308,58871519,59396428,59431287,59615178,59781844,60176215,60208717,60323690,60665388,61043341,61355137,61470227,61604695,61902224,62052552,62621638,62783463,62896107,62904397,63358342,63474148,63629127,63825951,63848758,63928237,64132141,64198494,64289015,64746358,64835551,64944877,65052244,65072278,65349517,65479318,65652241,65703911,66210074,66304695,66356077,66454582,66456337,66656641,67270679,67670422,67695144,68236582,68521592,68882662,68894778,69430657,69608278,69640002,69809121,69920077,70091302,70115341,70654102,70725008,70796497,70970450,71253287,71763457,71857462,71860708,72211458,72220700,72257782,72388428,73200397,73295617,73296742,73925634,74061163,74466388,74492182,74806667,75091117,75207718,75461367,75684022,75983275,76118737,76157037,76634902,76872262,77064868,77086791,77146818,77415591,77978038,78450982,78786157,79058641,79330477,79395142,79429130,79565634,79782097,80411341,80415382,81127315,81304141,81481837,81728119,81745462,82759462,82805377,83000523,83271844,83382118,83678737,83733335,84102170,84136647,84191871,84302308,84544897,84817108,84852040,85089142,85164540,85321318,85489357,86016982,86176700,86402902,86664840,86873428,86931841,87100177,87788902,87814610,88436497,88850317,89015341,89705302,89836141,90316438,90406417,90487597,90539891,90842176,91015095,91090727,91179930,91231222,91535638,91841450,91994068,92442496,92496503,93204877,93283537,93751095,93862730,94454797,94490278,94543588,94585820,94942678,95314956,95380141,95458545,95770582,95801835,96071158,96100970,97049677,97082768,97085908,97121158,97124737,97168395,97235391,97258592,97274641,97352778,97497945,97521242,97807307,97871377,97888195,98168017,98242678,98607844,98913862,99124141,99658102,99806758,...,20155413604609414609567634708132836148928541665698254933421381082097017194991339466973884956696344016399276720394491871337635578662708791680191882699881614686064162257270929505985555422935176745614581752586985278616493262973641290092703019993561350086337384230445489087987463146922967065073906646538269162968567424703937160220619952838666898495555429957646138764101723078582879215652023332391003822606839839642382861862236556579880474607575230470955965616372159332752606440983736074048134592392620821407346087212691140205271650966736430674440940124812318785153772519422113424977655869463297122729709906146116381251603873850892227391763169860921239605054443154706185394047690416357889506331850406635557799012914801981673984476323525573878030956972580956889992444509715937843089987978090204051631625852848633824177045606605330477141447219441824696813508859652405053633866558557461265112893284475715939741472273180615627941266993604894520560375032072177618302195123963383776297634797395384676285406120347590597824869238243526700302286832418559049300104549839232855875132915287532082988095001454244733999651026364506740681707067019847018261839498602110448915903157137602550055736278948373691834290335985560646031233900416550397246915083536818057745749613472890262262269090750310497612378373439397983848553071872776003662640095731966861268098308293106770516543177681880149441544277256264684592620948155524862667667547143232059246635957484095613800673597952585831157306808577701870755751496038844191256104226948972250754238166975198714903791289123266260936801614293573963632662648914902604536399643023581639820527258416658540923286484494257258368914240814325587380646570156145617191267070189628736962806163888290000025637086361620880962998885104939924986325176584050644565848030282335439276213958177036381327450615040159181327185533342825730725890043879025272028381183892114839126074364914021255989154546069236789605594598327660633231563513671402168241972982972732973214294468329254012326606835839915424298242122489856877635807220358196814205331004063124913106472794738557745639183224593178529522623911116470631461316113647287974310274178034341821994132359002830079347111891356821386741890875055745943409648173269000526834620368665734948364461355426832358783682887281212105260187103783117122731370948002186021412450486894757743912092593625066078108430309447294038003034943390391119028242898282481904423454780000849915749872030436968076146732198614395715710027784703757309119732991947395973802265616604844596519378333440984597862715260771677869124713802906846052994887430164625666218861886371613187694333707908113123261221038875401369675998209106795312587863696865309314861924496420339564773532821016076116860577137508503847965035099782494168473500166879705503268221971307030323621299641462276401647959687561593760207995606660845239253974161385537147667465505022776547098870703342484737616272588682319433998760524078708566701933865452415158296212215321500332974383849526150907769151192883480103337099037114904736507964558129647617722226082146104280545949644148413613465925887009540467712024086660034115804231815881975294563095346731944625940964747524898067290243098253813335212946526420076257348171260722569034597504599086024513745334773942281969971336441739845425575575232335138551748686699882855119138414139686678925288685481614711698345643362547490986837275236934505002595492910700378470828566872191770315918281611800702880356345631841971507682633285495841745031908491865383793797933046159160749854313855489892984680735446428004714417461791600571014089949284866816642590138227961198615233013139797421150416042782070361270352864569521043024863063345286413918967898699442146958742511134265418958514842377704626761783202}
23343  71406983309644601249902127855088222599778202668973308014124385630664679171110: {93356,489993,583325,699990,746656,839988,909753,1282985,1329297,1539582,1982285,2028057,2286046,2378742,2821841,3005313,3265780,3284313,3918936,4244422,4260057,4408803,4665400,4775885,4956297,5248575,5473385,5598480,5731062,5757817,5971712,6063460,6208017,6298290,6568062,6718176,6867305,7011193,7182868,7276152,7506142,7557948,7873953,8185671,8240766,9121137,9536433,9674817,9743998,10015990,10261240,10303462,10504241,10504617,10723060,10913161,11203933,11485421,11543895,11609673,12019188,12023673,12067846,12313488,12324113,12575337,12867672,13370182,13571657,13677513,13719577,13852674,14021182,14476131,15465273,15535097,15590230,15892685,16700577,17140935,17239780,17275805,17436628,17722201,18283664,18452317,18599921,18618297,18708276,18777382,18960502,19071222,19100260,19165353,19438737,19575393,20030260,20405875,20569122,20632801,20687736,20727305,20730966,21486057,21622353,21952097,22405942,22570681,22920312,23256033,23273703,23878777,23935713,24036312,24487050,24550822,24802904,24872766,25293273,25317430,25668886,25785351,26106657,26119520,26440393,26738068,27017662,27040851,27325113,27436798,27603305,27903267,28811697,28974185,29151250,29384460,29475430,29659085,29756193,30160617,30380916,31017577,31100953,31226998,31266193,31343424,31516472,31776153,31777108,31855261,32243830,32249137,32395085,32851257,33123966,33218175,33388233,33432641,34546036,34769022,34794046,34981500,35131876,35261352,35370516,35432720,35456031,35590902,35694646,35799873,35806985,36488285,37313600,37771990,37917748,38037886,38070393,38197240,38308153,38470353,38596660,38692596,38874102,39003297,39669021,39861810,40410238,40723156,40865577,40998417,41610135,41794953,41977800,42192897,42519264,42554302,42807361,42968382,42971895,42988137,43650177,43782513,43785942,43967641,44071577,44384144,44491846,44665990,44711401,44742238,44776320,44972457,45326388,45667993,45836688,45933796,45988685,46315992,46863766,47225025,47296093,47609817,47761408,47834172,48263096,48793497,49090873,49097428,49287988,49318953,49351480,49364585,49489321,49535875,49705780,49932162,50002095,50373360,51333364,51566274,52071297,52105491,52332873,52632382,52731485,53335568,53403785,53599188,53731584,53900313,54007181,54164446,54295983,54682737,54747305,55186422,55520415,55974361,55984857,56635017,56670030,56893876,57708982,57803793,57933537,58032886,59149798,59202737,59221776,59233251,59237502,59438285,59443050,59453944,59646936,59747433,59839897,59956393,60002514,60406324,60448032,60791860,60994102,61040193,61884382,62731198,63277782,63405920,63559780,63726641,63873430,64084542,64638075,64777805,64829182,65160897,65239990,65696766,65748401,66443577,66483337,66624498,66774185,66827913,66885687,67102803,67892521,68004036,68067796,68103305,68243417,68947280,69107161,69129393,69868457,70094285,70149777,70515775,70699030,70914057,71041353,71325942,71331660,71423097,71659582,72537364,72743885,72873016,72909553,72947913,72950232,73405385,74106337,74245535,74254697,74727305,75096632,75831735,76029677,76087104,76271736,76602646,76609702,76618617,76648116,77377780,77565690,77733366,78287988,78402937,78509337,78754841,78886833,79008982,79241716,79264113,79342685,79486904,79588777,80039542,80129022,80771073,80887184,81236857,81315305,81523257,81648537,81723966,81982143,82069011,82262038,82736736,82774977,83013853,83076862,83297101,83711284,83805046,83861476,84113142,84483711,84523353,84618930,84821377,84838836,84947422,85052158,85101268,85271217,85597992,85651990,85805703,86018217,86142633,87292662,87501022,87633753,87952403,88086462,88406260,88426633,89094642,89139041,89415046,89422767,89672766,89825885,90260192,90275875,90485535,90690502,90720377,90998082,91190422,91859704,92853336,93078828,93082985,93553501,93656173,93802481,93932457,93980542,94514182,95037513,95211222,95773137,96075341,96281944,96297741,96331085,96517904,96779713,97119537,97578366,97608417,98173097,98218977,98432761,98567512,98970046,99315111,99659446,99681873,99852457,...,30233120406914121914351452062199254223392812498547382400132071623145525792487009200460827435044516024598915080591737807006453367994063187520287824049822422029096243385906394258978333134402765118421872628880477917924739894460461935139054529990342025129506076345668233631981194720384450597610859969807403744452851137055905740330929929258000347743333144936469208146152584617874318823478034998586505733910259759463574292793354834869820711911362845706433948424558238999128909661475604111072201888588931232111019130819036710307907476450104646011661410187218478177730658779133170137466483804194945684094564859219174571877405810776338341087644754791381859407581664732059278091071535624536834259497775609953336698519372202972510976714485288360817046435458871435334988666764573906764634981967135306077447438779272950736265568409907995715712170829162737045220263289478607580450799837836191897669339926713573909612208409770923441911900490407341780840562548108266427453292685945075664446452196093077014428109180521385896737303857365290050453430248627838573950156824758849283812699372931298124482142502181367100999476539546760111022560600529770527392759247903165673373854735706403825083604418422560537751435503978340969046850850624825595870372625305227086618624420209335393393403636125465746418567560159096975772829607809164005493960143597950291902147462439660155774814766522820224162316415884397026888931422233287294001501320714848088869953936226143420701010396928878746735960212866552806133627244058266286884156340423458376131357250462798072355686933684899391405202421440360945448993973372353906804599464535372459730790887624987811384929726741385887553371361221488381070969855234218425786900605284443105444209245832435000038455629542431321444498327657409887479487764876075966848772045423503158914320937265554571991175922560238771990778300014238596088835065818537908042571775838172258689111547371031883983731819103855184408391897491490949847345270507103252362959474459099459821441702493881018489910253759873136447363183734785316453710830537295221307996506094687369659709192107836618458774836889767794283935866674705947191974170470931961465411267051512732991198538504245119020667837035232080112836312583618915114472259903500790251930552998602422546692033140248538175524330921818157890280655674675684097056422003279032118675730342136615868138890437599117162645464170941057004552415085586678542364347423722856635182170001274873624808045655452114220098297921593573565041677055635963679599487921093960703398424907266894779067500161476896794072891157516803687070704360269079492331145246938499328292829557419781541500561862169684891831558313102054513997313660192968881795545297963972292886744630509347160299231524114175290865706262755771947552649673741252710250250319558254902332956960545485431949462193414602471939531342390640311993409991267858880961242078305721501198257534164820648306055013727106424408883023479150998140786118062850052900798178622737444318322982250499461575774289226361653726789325220155005648555672357104761946837194471426583339123219156420818924466222620420198888830514310701568036129990051173706347723822962941844643020097916938911447121287347100935364647380720002819419789630114386022256891083853551896256898629036770618002160913422954957004662609768138363362848502707827623030049824282678707621209530018387933028222422067547518465043821236480255912855401757503893239366050567706242850308287655473877422417701054320534518447762957261523949928243762617547862737798075690696899569238741124781470783234839477021103169642007071626192687400856521134923927300224963885207341941797922849519709696131725624064173105541905529296854281564537294595017929620878451848049163220438113766701398128437772263566556940142674803}
23344  71661403328052167135857138847348683819402128981136752680597544194409577623990: {116695,140034,256663,396559,536383,653324,933320,1049985,1094959,1119984,1213004,1234423,1259982,1445282,1772396,2052776,2309373,2704076,3171656,3397274,3429069,3568113,4007084,4082225,4379084,4898670,5225248,5247559,5680076,5831750,5878404,5933359,6070303,6366633,6450434,6480703,6608396,6998100,7299559,7464640,7579325,7641416,8277356,8397720,8596593,8757416,8794063,8957568,8978585,9095190,9200143,9210914,9447435,9701536,9761282,9852093,10077264,10145143,10498604,10683559,10774302,10914228,10987688,11220823,11259213,11336922,12161516,12361149,12504482,12692359,12715244,12826550,12899756,13051394,13403825,13491343,14006156,14022559,14416154,14615997,14684959,14817223,15023985,15233282,15391860,15455193,15479564,15872743,15998206,16025584,16031564,16049114,16084590,16417984,16767116,17156896,17405954,17447383,18028782,18101769,18236684,18470232,19299482,19301508,19401103,20055273,20436463,20620364,20779011,21031773,21209959,21338623,21549725,21702541,21795785,21852559,22267436,22854580,23385345,23642263,23875325,24404959,24824396,24944368,25037825,25428296,25544143,25553804,25859670,25918316,26100524,26154942,26300359,27334682,27425496,27576913,27583648,27641288,28062414,28166073,28179559,28440753,28606833,28648076,28650390,28802359,28829804,29190914,30042559,30045390,30512474,30560416,30853683,31003630,31008044,31026941,31031604,31096449,31303682,31398463,31766743,31914284,32048416,32379103,32623543,32649400,33163688,33233383,33422585,33608913,33724364,34205383,34380468,34717274,34808876,34931359,36054468,36433484,36545282,36730575,36734959,36826233,37204356,37309149,37451863,37976145,38415596,38503329,38522359,38625794,38836126,39179280,39232783,39395590,39674924,39721385,40107102,40214156,40293559,40507888,40526493,41155197,41791232,42230209,42368204,42629959,42746023,43182545,43209559,43726875,43801676,43914845,44076690,44165288,44213145,44290900,44517644,45571374,45624223,46345634,46358696,46642000,46668622,46840497,46855682,47015136,47160688,47216359,47274708,47329543,47365154,47397185,47454536,47619674,47665662,47733164,47746550,48245825,48365745,49018663,49685949,49912903,50691583,50760524,50903945,51024223,51134959,51167834,51293804,51590128,51819054,51832136,51924482,52004396,52022201,52153533,52191069,52472250,52697814,52892028,53055774,53149080,53386353,53541969,53684954,53771023,54437282,54487436,54664556,55073503,55188314,55480180,55726604,55970400,56257196,56437154,56657985,56692352,56876622,56935682,57056829,57291176,57295860,57317516,57417245,57433634,57540943,57894990,58038894,58178359,58200236,58311153,58376684,58381256,58601863,59340223,59701760,59792715,59963276,60328870,60435184,60615357,60656282,61084734,61115584,61222663,61371785,61396514,61609985,61689350,61754656,62132225,62464663,62966700,63479756,63763889,63778896,63831453,63900559,64166705,64344482,64452573,64816183,64833794,65057996,65678913,65709553,65758604,66529783,66576216,66669460,66737769,66929959,66998985,67113357,67164480,67271714,67328983,67925359,67989582,68755032,68900694,69306823,69428396,69473988,69551041,69777164,70295649,70771303,70776286,70965343,71117345,71352559,71465584,71642112,71751258,71867084,72344474,72394644,72910316,73303514,73581896,73646142,73651663,73746559,73931982,74027220,74314423,74317430,74558670,74646476,74898243,75214682,75507905,75513356,75535903,75560040,75691034,75989825,76002463,76095559,76188583,76623833,76879394,77000046,77071724,77244716,77349411,78948573,78962368,78977668,78983336,79257400,79399063,79449725,79529248,79663244,79952282,80003352,80377241,80398782,80597376,81246669,81386924,81460783,81735137,82774241,82779633,83309959,83467682,84246701,84370376,84453166,85005045,85084745,85340814,85446056,85469959,86184100,86246573,86488154,86563473,86828743,86881196,87049329,87249583,87364541,87526829,87595688,88335343,88591436,88724697,88832664,88856253,89103884,89164575,89180916,89470404,90003771,90004621,90401282,90609486,90671705,90672048,90794503,90956143,91091270,91187790,91358983,91491153,91760023,92172524,92228354,92826573,92873359,93138434,93533036,93738223,93819482,93870790,94096797,94552076,94721804,94916673,95101256,95108880,95230796,95339670,95594959,95671423,95810145,96080282,96126813,96587777,96722225,96734359,97205282,97243773,97263884,97266976,97410223,97859985,98228359,98326682,98545149,99052145,99358630,99890594,99936747,...,40310827209218829219135269416265672297857083331396509866842762164194034389982678933947769913392688032798553440788983742675271157325417583360383765399763229372128324514541859011971110845870353491229163505173970557232986525947282580185406039987122700172674768460890978175974926293845934130147813293076538325937134849407874320441239905677333796991110859915292277528203446157165758431304046664782007645213679679284765723724473113159760949215150460941911931232744318665505212881967472148096269184785241642814692174425382280410543301933472861348881880249624637570307545038844226849955311738926594245459419812292232762503207747701784454783526339721842479210108886309412370788095380832715779012663700813271115598025829603963347968952647051147756061913945161913779984889019431875686179975956180408103263251705697267648354091213210660954282894438883649393627017719304810107267733117114922530225786568951431879482944546361231255882533987209789041120750064144355236604390247926767552595269594790769352570812240695181195649738476487053400604573664837118098600209099678465711750265830575064165976190002908489467999302052729013481363414134039694036523678997204220897831806314275205100111472557896747383668580671971121292062467800833100794493830167073636115491499226945780524524538181500620995224756746878795967697106143745552007325280191463933722536196616586213541033086355363760298883088554512529369185241896311049725335335094286464118493271914968191227601347195905171662314613617155403741511502992077688382512208453897944501508476333950397429807582578246532521873603228587147927265325297829805209072799286047163279641054516833317081846572968988514516737828481628651174761293140312291234382534140379257473925612327776580000051274172723241761925997770209879849972650353168101289131696060564670878552427916354072762654901230080318362654371066685651461451780087758050544056762367784229678252148729828042511978309092138473579211189196655321266463127027342804336483945965945465946428588936658508024653213671679830848596484244979713755271614440716393628410662008126249826212945589477115491278366449186357059045247822232941262922632227294575948620548356068683643988264718005660158694223782713642773483781750111491886819296346538001053669240737331469896728922710853664717567365774562424210520374207566234245462741896004372042824900973789515487824185187250132156216860618894588076006069886780782238056485796564963808846909560001699831499744060873936152293464397228791431420055569407514618239465983894791947604531233209689193038756666881969195725430521543355738249427605813692105989774860329251332437723772743226375388667415816226246522442077750802739351996418213590625175727393730618629723848992840679129547065642032152233721154275017007695930070199564988336947000333759411006536443942614060647242599282924552803295919375123187520415991213321690478507948322771074295334931010045553094197741406684969475232545177364638867997521048157417133403867730904830316592424430643000665948767699052301815538302385766960206674198074229809473015929116259295235444452164292208561091899288296827226931851774019080935424048173320068231608463631763950589126190693463889251881929495049796134580486196507626670425893052840152514696342521445138069195009198172049027490669547884563939942672883479690851151150464670277103497373399765710238276828279373357850577370963229423396691286725094981973674550473869010005190985821400756941657133744383540631836563223601405760712691263683943015365266570991683490063816983730767587595866092318321499708627710979785969361470892856009428834923583201142028179898569733633285180276455922397230466026279594842300832085564140722540705729139042086049726126690572827837935797398884293917485022268530837917029684755409253523566404}
23345  71916723900147971191486761241467392713475601729714170378135125216018952184476: {186712,210051,816655,979986,1166650,1399980,1493312,1516255,1679976,1796179,1819506,1889973,2167923,2215495,2565970,2658594,2775199,3079164,3334903,3380095,3964570,4056114,4572092,4757484,5008855,5095911,5473855,5643682,5897683,6010626,6531560,6568626,6686239,6736879,7100095,7348005,7662739,7837872,8260495,8488844,8520114,8747625,8817606,9330800,9481879,9551770,9614227,9675651,9912594,10346695,10497150,10505143,10946770,11016643,11196960,11462124,11515634,11943424,12126920,12277519,12414103,12416034,12596580,12836647,13123255,13136124,13436352,13642785,13734610,13816371,14022386,14365736,14552304,14641923,14650039,15012284,15115896,15201895,15536431,15747906,15894055,16039231,16124695,16161453,16371342,16481532,16606483,17005383,17507695,18242274,18756723,19072866,19239825,19349455,19349634,19487996,19577091,20031980,20039455,20522480,20606924,20788147,20958895,21008482,21009234,21228163,21446120,21624231,21826322,22249759,22407866,22795855,22849923,22970842,23022931,23087790,23219346,23338807,23997309,24038376,24047346,24073671,24126885,24135692,24186127,24626976,24648226,24978367,25150674,25735344,25775455,26108931,26740364,27043173,27143314,27338179,27355026,27439154,27705348,27834295,28042364,28364911,28568225,28949223,28952262,29018227,30930546,31030495,31070194,31180460,31715647,31785370,31942255,32397895,32625655,33401154,33435523,34281870,34479560,34551610,34873256,34957879,35444402,35810095,36037255,36567328,36904634,37199842,37236594,37416552,37554764,37921004,37968883,38142444,38200520,38330706,38644627,38760055,38789505,38877474,39150786,39232413,39511303,39880759,39892855,40060520,40563859,40811750,41002023,41138244,41265602,41375472,41454610,41461932,41522719,42093621,42155455,42557779,42972114,42975585,43244706,43511095,43786371,43904194,44811884,45068085,45141362,45353119,45541855,45768711,45840624,46505445,46512066,46547406,46955523,47757554,47871426,48019495,48072624,48623443,48974100,49101644,49593655,49605808,49745532,50090959,50129779,50267695,50524423,50586546,50634860,51083599,51337772,51361459,51570702,51659719,52075911,52084591,52213314,52239040,52880786,52960255,53476136,54035324,54081702,54650226,54752095,54795607,54817923,54873596,55206610,55363625,55647055,55806534,57623394,57938691,57948370,58254189,58302500,58768920,58950860,59093385,59318170,59512386,59666455,59948887,60160653,60320191,60321234,60360967,60761832,62035154,62201906,62453996,62532386,62686848,63032944,63450655,63552306,63554216,63710522,64117255,64384159,64487660,64498274,64790170,65005495,65702514,66115035,66247932,66436350,66744403,66776466,66865282,68109295,68330695,68357061,68750803,69092072,69110419,69350225,69518451,69538044,69588092,69658255,69963000,69966871,70002933,70254679,70263752,70283523,70321495,70522704,70741032,70865440,70912062,71047731,71181804,71256823,71389292,71429511,71498493,71599746,71613970,71619825,71646895,72017527,72750295,72970855,72976570,73483507,73824079,74261143,74627200,74765299,74954095,75313303,75543980,75835496,76036231,76075772,76140786,76394480,76616306,76646227,76751751,76940706,77193320,77385192,77465719,77508499,77728581,77748204,77762179,77886723,78006594,78708375,79046721,79261303,79338042,79349695,79413871,79583661,79723620,80260279,80527431,80651311,80820476,80853187,81273103,81322495,81446312,81655923,81731154,81996834,82198255,82782471,82920679,83213599,83220270,83336825,83589906,83753923,83955600,84385794,84655731,85038528,85108604,85314933,85403523,85405087,85614722,85936764,85943790,85976274,86150451,86785495,86823091,86842485,87058341,87221455,87300354,87565026,87571884,87755551,87935282,88143154,88768288,88983692,89331980,89422802,89484476,89552640,89833855,89924407,89944914,90493305,90652776,90688927,90984423,91137895,91335986,91627101,91673376,91852759,91867592,91977370,92094771,92534025,92631984,93073903,93308095,93483859,93727532,94208983,94391695,94450050,94587439,94592186,95219634,95279731,95344627,95522816,95668344,96083623,96339655,96516723,96526192,96555895,97083247,97250691,97586994,97977823,98131999,98181746,98194856,98575976,98637906,98702960,98722085,98729170,98978642,99071750,99411560,99579055,99625987,99864324,...,60466240813828243828702904124398508446785624997094764800264143246291051584974018400921654870089032049197830161183475614012906735988126375040575648099644844058192486771812788517956666268805530236843745257760955835849479788920923870278109059980684050259012152691336467263962389440768901195221719939614807488905702274111811480661859858516000695486666289872938416292305169235748637646956069997173011467820519518927148585586709669739641423822725691412867896849116477998257819322951208222144403777177862464222038261638073420615814952900209292023322820374436956355461317558266340274932967608389891368189129718438349143754811621552676682175289509582763718815163329464118556182143071249073668518995551219906673397038744405945021953428970576721634092870917742870669977333529147813529269963934270612154894877558545901472531136819815991431424341658325474090440526578957215160901599675672383795338679853427147819224416819541846883823800980814683561681125096216532854906585371890151328892904392186154028856218361042771793474607714730580100906860497255677147900313649517698567625398745862596248964285004362734201998953079093520222045121201059541054785518495806331346747709471412807650167208836845121075502871007956681938093701701249651191740745250610454173237248840418670786786807272250931492837135120318193951545659215618328010987920287195900583804294924879320311549629533045640448324632831768794053777862844466574588003002641429696177739907872452286841402020793857757493471920425733105612267254488116532573768312680846916752262714500925596144711373867369798782810404842880721890897987946744707813609198929070744919461581775249975622769859453482771775106742722442976762141939710468436851573801210568886210888418491664870000076911259084862642888996655314819774958975529752151933697544090847006317828641874531109143982351845120477543981556600028477192177670131637075816085143551676344517378223094742063767967463638207710368816783794982981899694690541014206504725918948918198919642883404987762036979820507519746272894726367469570632907421661074590442615993012189374739319418384215673236917549673779535588567871733349411894383948340941863922930822534103025465982397077008490238041335674070464160225672625167237830228944519807001580503861105997204845093384066280497076351048661843636315780561311349351368194112844006558064237351460684273231736277780875198234325290928341882114009104830171173357084728694847445713270364340002549747249616091310904228440196595843187147130083354111271927359198975842187921406796849814533789558135000322953793588145782315033607374141408720538158984662290493876998656585659114839563083001123724339369783663116626204109027994627320385937763591090595927944585773489261018694320598463048228350581731412525511543895105299347482505420500500639116509804665913921090970863898924386829204943879062684781280623986819982535717761922484156611443002396515068329641296612110027454212848817766046958301996281572236125700105801596357245474888636645964500998923151548578452723307453578650440310011297111344714209523893674388942853166678246438312841637848932445240840397777661028621403136072259980102347412695447645925883689286040195833877822894242574694201870729294761440005638839579260228772044513782167707103792513797258073541236004321826845909914009325219536276726725697005415655246060099648565357415242419060036775866056444844135095036930087642472960511825710803515007786478732101135412485700616575310947754844835402108641069036895525914523047899856487525235095725475596151381393799138477482249562941566469678954042206339284014143252385374801713042269847854600449927770414683883595845699039419392263451248128346211083811058593708563129074589190035859241756903696098326440876227533402796256875544527133113880285349606}
23346  72172948192676942255067743801667800291524298461724347160287288610782001966252: {163373,233390,280068,303329,443213,513326,793118,1072766,1234529,1306648,1469979,1559693,1749975,1866640,2099970,2189918,2239968,2426008,2468846,2519964,2729259,2890564,3179633,3456353,3544792,3640673,3848955,3987891,4008929,4105552,4146893,4618746,5293793,5408152,5715115,5946855,6084171,6343312,6526829,6754529,6794548,6858138,7072973,7136226,7300193,8014168,8116529,8164450,8465523,8568929,8758168,8794829,9015939,9381233,9797340,9852939,10056173,10450496,10495118,10611055,11132333,11360152,11663500,11756808,11866718,12140606,12570019,12733266,12780171,12826829,12900868,12960113,12961406,13137713,13216792,13226409,13802573,13996200,14068013,14327655,14599118,14686253,14868891,14929280,15158650,15282832,15346913,15745725,16049633,16420155,16444013,16554712,16575329,16795440,17193186,17273451,17448929,17514832,17588126,17915136,17957170,17971553,18190380,18400286,18421828,18624051,18765355,18894870,19402829,19403072,19522564,19704186,19705313,20154528,20290286,20601915,20997208,20997233,21033579,21367118,21548604,21828456,21854513,21975376,22281953,22441646,22518426,22673844,23176973,23621859,23686829,23814113,24195533,24323032,24359995,24557013,24722298,24829793,25008964,25039975,25384718,25430488,25588529,25653100,25758655,25799512,26102788,26302733,26428529,26807650,26847329,26930993,26982686,27056429,27348833,27363411,28012312,28045118,28223693,28306829,28609299,28804973,28832308,29024451,29053613,29231994,29369918,29634446,30047970,30169615,30466564,30514099,30783720,30909233,30910386,30959128,31512723,31513851,31745486,31810529,31996412,32051168,32063128,32098228,32169180,32422829,32504333,32739483,32835968,33425455,33534232,33611799,33642029,33965933,34313792,34370093,34456263,34631685,34811908,34829019,34894766,34934573,34974833,35052955,35176013,36057564,36058829,36071019,36203538,36473368,36668203,36738353,36778253,36940464,36972339,37455329,37726011,37733453,37971533,38328113,38446829,38525933,38565473,38598964,38603016,38802206,38975575,39236429,39708653,40110546,40336493,40714971,40872926,41001329,41032539,41158731,41240728,41558022,41702753,42063546,42419918,42672653,42677246,43099450,43213613,43252193,43405082,43428393,43591570,43705118,43906829,44022113,44534872,44597453,45628529,45709160,46395819,46578029,46605291,46653773,46770690,46791619,46943455,47258573,47284526,47401255,47678055,47750650,48161933,48809918,49023329,49648792,49888736,49954829,50075650,50101731,50251853,50585393,50856592,51088286,51107608,51139853,51361133,51422805,51508493,51618929,51719340,51827415,51836632,52201048,52309884,52600718,52828973,53157473,53166603,53812529,54669364,54850992,55153826,55167296,55282576,55356951,55438829,55609939,55799763,55854891,55869773,56014855,56084813,56124828,56332146,56359118,56692529,56881506,57213666,57296152,57300780,57475553,57496059,57582029,57604718,57659608,58184033,58316211,58381828,58726179,59346029,59976173,60085118,60090780,60220529,60290273,60455563,61020653,61024948,61120832,61217625,61367213,61377055,61436429,61480783,61707366,61885553,61898403,62007260,62016088,62053882,62063208,62181915,62192898,62607364,62796926,63293575,63533486,63828568,63838829,63940913,64096832,64172215,64458171,64518029,64754993,64758206,64867059,64957793,65247086,65298800,65429873,65856291,66135053,66327376,66356059,66466766,66536429,66845170,67217826,67368929,67448728,67544155,67712043,68361329,68410766,68591995,68756273,68760936,69434548,69617752,69768099,69821109,69862718,69901613,69999329,70810829,70972529,71198573,71265523,71636331,71681633,71807139,72034733,72108936,72866968,72878125,73090564,73461150,73469918,73652466,73688575,73785713,74164529,74322029,74408712,74618298,74903726,75262829,75481313,75668273,75879819,75952290,76103393,76134413,76196429,76289393,76506029,76831192,76876493,77006658,77044718,77251588,77356053,77583329,77672252,77797613,78067495,78255473,78319971,78358560,78465566,78498929,78590093,78791180,79316813,79321179,79349848,79407329,79442770,79497773,80214204,80384143,80428312,80587118,80609575,81015776,81052986,81122553,81291533,81498929,81975339,82310394,82442033,82809915,82968929,83582464,83709801,84043853,84460418,84736408,84907373,85259918,85492046,85507553,85920499,86189153,86253979,86274029,86365090,86419118,86435091,86922555,86985115,87372043,87453750,87603352,87829690,88039793,88153380,88330576,88426290,88455533,88581800,88924529,88977255,89035288,89236615,89268579,89833387,90236273,90426029,90481851,90555439,90642413,90831329,91142748,91248446,91288493,91636529,92248973,92512387,92513933,92691268,92717392,92751713,93052731,93225329,93284000,93302859,93337244,93670253,93680994,93711364,93798579,94030272,94320353,94321376,94429975,94432718,94549416,94659086,94708013,94730308,94794370,94909072,95094715,95239348,95328459,95331324,95466328,95493100,95565783,95605553,95682029,96063329,96491650,96596071,96731490,96745133,96747411,96996173,97121393,97185255,97371233,97446029,97824103,97942829,98037326,98239373,98387213,98553771,98853473,98926829,99371898,99564283,99654525,99825806,99849773,...,90699361220742365743054356186597762670178437495642147200396214869436577377461027601382482305133548073796745241775213421019360103982189562560863472149467266087288730157719182776934999403208295355265617886641433753774219683381385805417163589971026075388518229037004700895943584161153351792832579909422211233358553411167717220992789787774001043229999434809407624438457753853622956470434104995759517201730779278390722878380064504609462135734088537119301845273674716997386728984426812333216605665766793696333057392457110130923722429350313938034984230561655434533191976337399510412399451412584837052283694577657523715632217432329015023262934264374145578222744994196177834273214606873610502778493326829860010095558116608917532930143455865082451139306376614306004966000293721720293904945901405918232342316337818852208796705229723987147136512487488211135660789868435822741352399513508575693008019780140721728836625229312770325735701471222025342521687644324799282359878057835226993339356588279231043284327541564157690211911572095870151360290745883515721850470474276547851438098118793894373446427506544101302998429618640280333067681801589311582178277743709497020121564207119211475250813255267681613254306511935022907140552551874476787611117875915681259855873260628006180180210908376397239255702680477290927318488823427492016481880430793850875706442387318980467324444299568460672486949247653191080666794266699861882004503962144544266609861808678430262103031190786636240207880638599658418400881732174798860652469021270375128394071751388394217067060801054698174215607264321082836346981920117061720413798393606117379192372662874963434154789180224157662660114083664465143212909565702655277360701815853329316332627737497305000115366888627293964333494982972229662438463294628227900546316136270509476742962811796663715973527767680716315972334900042715788266505197455613724127715327514516776067334642113095651951195457311565553225175692474472849542035811521309757088878423377298379464325107481643055469730761279619409342089551204355949361132491611885663923989518284062108979127576323509855376324510669303382851807600024117841575922511412795884396233801154538198973595615512735357062003511105696240338508937750856745343416779710502370755791658995807267640076099420745614526572992765454473670841967024027052291169266009837096356027191026409847604416671312797351487936392512823171013657245256760035627093042271168569905546510003824620874424136966356342660294893764780720695125031166907891038798463763281882110195274721800684337202500484430690382218673472550411061212113080807238476993435740815497984878488672259344624501685586509054675494674939306163541991940980578906645386635893891916878660233891528041480897694572342525872597118788267315842657949021223758130750750958674764706998870881636456295848386580243807415818594027171920935980229973803576642883726234917164503594772602494461944918165041181319273226649070437452994422358354188550158702394535868212332954968946751498384727322867679084961180367975660465016945667017071314285840511583414279750017369657469262456773398667861260596666491542932104704108389970153521119043171468888825533929060293750816734341363862041302806093942142160008458259368890343158066770673251560655688770695887110311854006482740268864871013987829304415090088545508123482869090149472848036122863628590055163799084667266202642555395131463709440767738566205272511679718098151703118728550924862966421632267253103162961603555343288871784571849784731287852643588213394227072090698707716223374344412349704518431063309508926021214878578062202569563404771781900674891655622025825393768548559129088395176872192519316625716587890562844693611883785053788862635355544147489661314341300104194385313316790699670820428024409}
23347  72430079383446660222332400570113969240980863916674919743837526896849146650451: {350085,373424,420102,769989,1143317,1189677,1609149,1633310,1959972,2122757,2333300,2799960,2986624,3032510,3101693,3149955,3284877,3359952,3592358,3613205,3639012,3703269,3779946,3941249,4335846,4430990,4732133,5131940,5317188,5550398,6158328,6669806,6760190,6928119,6969989,7012397,7529453,7663397,7929140,8112228,8493185,9144184,9514968,9940133,10017710,10191822,10287207,10704339,10947710,11017589,11205857,11287364,11564693,11795366,12021252,12246675,12415169,13019669,13063120,13137252,13372478,13473758,13721933,14200190,14485373,14579375,14651297,14696010,15325478,15675744,15742677,16126085,16373573,16520990,16607909,16977688,17040228,17149253,17495250,17635212,17800077,18210909,18372557,18661600,18963758,19099899,19103540,19228454,19351302,19442109,19825188,20693390,20994300,21010286,21282653,21893540,21898677,22033286,22251677,22393920,22574573,22737975,22924248,23027285,23031268,23886848,24129953,24253840,24403205,24510773,24555038,24828206,24832068,25087829,25193160,25673294,25789779,26084549,26246510,26272248,26382189,26701013,26872704,26935755,27089237,27285570,27469220,27600429,27632742,27849173,28044772,28055237,28342305,28731472,29104608,29283846,29300078,29342453,29556279,30024568,30231792,30403790,30435429,31072862,31226093,31261205,31495812,31788110,31914197,32050677,32066375,32078462,32249390,32308757,32322906,32422973,32628485,32742684,32963064,33212966,33662469,33777639,33902933,34010766,35015390,35299073,35468213,36040385,36085637,36484548,37083447,37513446,38077077,38083205,38145732,38479650,38698910,38699268,38968013,38975992,39038429,39154182,39514709,39995515,40063960,40078910,40122785,40211475,40474029,40670477,41044960,41213848,41313857,41549189,41576294,41917790,42016964,42018468,42067677,42456326,42892240,43248462,43442693,43514885,43652644,43847991,44054877,44451669,44499518,44572613,44719157,44815732,45071955,45176693,45357053,45591710,45675917,45699846,45941684,46045862,46175580,46365579,46438692,46677614,47618229,47994618,48076752,48094692,48147342,48248705,48253770,48271384,48372254,49132589,49253952,49296452,49956734,50095277,50134133,50295557,50301348,50452157,50756933,51470688,51550910,51819437,52217862,52342149,52989029,53480728,54086346,54264077,54286628,54305307,54676358,54710052,54878308,55410696,55668590,55849997,55984013,56084728,56729822,57136450,57464069,57737333,57898446,57904524,58036454,58203309,59017637,60165819,60915533,61242149,61309389,61848737,61861092,62060990,62140388,62337033,62360920,63095319,63431294,63570740,63629877,63758597,63884510,64015869,64083293,64195757,64649175,64795790,65107623,65251310,65387355,65557677,66802308,66871046,67227293,67758437,68336705,68563740,68959120,69103220,69431117,69746512,69915758,70156035,70260773,70374773,70888804,70926789,71330117,71620190,71625975,71763989,72074510,72977285,73134656,73214877,73363649,73809268,74144357,74399684,74473188,74833104,75109528,75113475,75232253,75842008,75937766,76281185,76284888,76401040,76632429,76652933,76661412,76984253,77289254,77509075,77520110,77579010,77754948,77768933,77905877,78252173,78259205,78301572,78464826,78879749,78901077,79022606,79691837,79761518,79785710,80121040,80479829,81127718,81250949,81280109,81623500,82004046,82276488,82479077,82531204,82730739,82750944,82909220,82923864,83028257,83045438,83533037,83593973,83656037,84187242,84212609,84310910,84498219,84538677,85115558,85322259,85820499,85944228,85951170,86407077,86489412,86579333,86732033,86793185,87022190,87572742,87763169,87808388,88830917,89623768,89764157,90127677,90136170,90282724,90706238,91007693,91083710,91295093,91363205,91537422,91681248,91860677,91900757,92302193,92561049,92676053,93010890,93024132,93080823,93094812,93289347,93569633,93672449,93911046,94195389,94217189,94853057,95300229,95353013,95515108,95662973,95742852,96038990,96145248,96344309,96564485,96986657,97090315,97137309,97246886,97521557,97870629,97948200,97986269,98203288,98450093,98488975,98981909,99187310,99211616,99491064,99700149,...,120932481627656487657405808248797016893571249994189529600528286492582103169948036801843309740178064098395660322366951228025813471976252750081151296199289688116384973543625577035913332537611060473687490515521911671698959577841847740556218119961368100518024305382672934527924778881537802390443439879229614977811404548223622961323719717032001390973332579745876832584610338471497275293912139994346022935641039037854297171173419339479282847645451382825735793698232955996515638645902416444288807554355724928444076523276146841231629905800418584046645640748873912710922635116532680549865935216779782736378259436876698287509623243105353364350579019165527437630326658928237112364286142498147337037991102439813346794077488811890043906857941153443268185741835485741339954667058295627058539927868541224309789755117091802945062273639631982862848683316650948180881053157914430321803199351344767590677359706854295638448833639083693767647601961629367123362250192433065709813170743780302657785808784372308057712436722085543586949215429461160201813720994511354295800627299035397135250797491725192497928570008725468403997906158187040444090242402119082109571036991612662693495418942825615300334417673690242151005742015913363876187403402499302383481490501220908346474497680837341573573614544501862985674270240636387903091318431236656021975840574391801167608589849758640623099259066091280896649265663537588107555725688933149176006005282859392355479815744904573682804041587715514986943840851466211224534508976233065147536625361693833504525429001851192289422747734739597565620809685761443781795975893489415627218397858141489838923163550499951245539718906965543550213485444885953524283879420936873703147602421137772421776836983329740000153822518169725285777993310629639549917951059504303867395088181694012635657283749062218287964703690240955087963113200056954384355340263274151632170287103352689034756446189484127535934927276415420737633567589965963799389381082028413009451837897836397839285766809975524073959641015039492545789452734939141265814843322149180885231986024378749478638836768431346473835099347559071177135743466698823788767896681883727845861645068206050931964794154016980476082671348140928320451345250334475660457889039614003161007722211994409690186768132560994152702097323687272631561122622698702736388225688013116128474702921368546463472555561750396468650581856683764228018209660342346714169457389694891426540728680005099494499232182621808456880393191686374294260166708222543854718397951684375842813593699629067579116270000645907587176291564630067214748282817441076317969324580987753997313171318229679126166002247448678739567326233252408218055989254640771875527182181191855889171546978522037388641196926096456701163462825051023087790210598694965010841001001278233019609331827842181941727797848773658409887758125369562561247973639965071435523844968313222886004793030136659282593224220054908425697635532093916603992563144472251400211603192714490949777273291929001997846303097156905446614907157300880620022594222689428419047787348777885706333356492876625683275697864890481680795555322057242806272144519960204694825390895291851767378572080391667755645788485149388403741458589522880011277679158520457544089027564335414207585027594516147082472008643653691819828018650439072553453451394010831310492120199297130714830484838120073551732112889688270190073860175284945921023651421607030015572957464202270824971401233150621895509689670804217282138073791051829046095799712975050470191450951192302762787598276954964499125883132939357908084412678568028286504770749603426084539695709200899855540829367767191691398078838784526902496256692422167622117187417126258149178380071718483513807392196652881752455066805592513751089054266227760570699212}
23348  72688120661365748477489850806937036970317663205305234309868506422790852294121: {326746,466780,560136,606658,630153,862507,886426,1026652,1586236,1838251,2145532,2255347,2449965,2469058,2613296,2916625,2939958,3119386,3226051,3499950,3502747,3733280,4193227,4199940,4379836,4479936,4548765,4852016,4937692,5039928,5388537,5458518,5669919,5781128,6359266,6390667,6414925,6503769,6646485,6912706,7073587,7089584,7281346,7618627,7697910,7754707,7975782,8001161,8017858,8211104,8293786,8325597,9237492,9911425,10004709,10140285,10587586,10816304,11133307,11430230,11893710,12168342,12338587,12686624,13005667,13053658,13509058,13589096,13716276,13803787,14109205,14145946,14272452,14334427,14600386,14855477,15026565,15287733,16028336,16051051,16233058,16328900,16421565,16445467,16931046,17137858,17516336,17589658,17693049,18031878,18762466,19594680,19705878,20058717,20112346,20210637,20353987,20900992,20990236,21222110,21300285,21642427,22044015,22264666,22720304,22988217,23327000,23513616,23733436,23816251,23879425,24281212,24781485,25140038,25466532,25560342,25653658,25801736,25920226,25922812,26242875,26271497,26275426,26433584,26452818,26598547,27351307,27366925,27605146,27992400,28136026,28445637,28600147,28655310,28789085,28842681,29026953,29097667,29198236,29372506,29737782,29858560,30317300,30565664,30693826,31040085,31491450,31515429,32099266,32548051,32840310,32888026,33049929,33109424,33150658,33401827,33590880,33766651,34103993,34336525,34386372,34546902,34736347,34897858,34978051,35029664,35055965,35176252,35219467,35830272,35914340,35943106,36062117,36380760,36781651,36800572,36832557,36843656,37242309,37248102,37530710,37736947,37789740,37975051,38509941,38569051,38805658,38806144,39045128,39369765,39397627,39408372,39410626,39987307,40105027,40309056,40580572,40928355,41203830,41449113,41745547,41994416,41994466,42067158,42237461,42734236,43097208,43256251,43335149,43656912,43709026,43925769,43950117,43950752,44563906,44883292,45036852,45327907,45347688,45605685,45785107,46127251,46353946,46609293,46795637,47243718,47373658,47628226,47682165,48053827,48117693,48166507,48374085,48391066,48484359,48646064,48719990,49074137,49114026,49289347,49444596,49659586,49819449,50017928,50071051,50079950,50769436,50860976,51016149,51177058,51306200,51517310,51599024,52205576,52521205,52523085,52605466,52834051,52857058,53615300,53694658,53861986,53965372,54112858,54253027,54565805,54697666,54726822,55875187,56019665,56024624,56090236,56270169,56447386,56613658,56626651,57218598,57427105,57481147,57609946,57664616,57719475,58048365,58048902,58107226,58463988,58731273,58739836,59268892,59597227,60095940,60118365,60339230,60933128,61028198,61061347,61567440,61620565,61818466,61820772,61918256,62098507,62364441,62408251,62876685,63025446,63027702,63490972,63621058,63684489,63992824,64102336,64126256,64196456,64253107,64338360,64845658,64872693,65008666,65470051,65478966,65671936,65720837,66175147,66361757,66476251,66749277,66850910,67068464,67223598,67284058,67858285,67931866,68387565,68549769,68597885,68627584,68740186,68763187,68912526,69068793,69263370,69623816,69658038,69789532,69869146,69941251,69949666,70016421,70105910,70234147,70352026,70623667,71592427,71991927,72115128,72117658,72142038,72221013,72380655,72407076,72558381,72946736,73318051,73336406,73476706,73556506,73880928,73944678,74910658,74935101,75020347,75452022,75466906,75489067,75943066,75955987,76142251,76328227,76656226,76884427,76893658,77051866,77130946,77197928,77206032,77326365,77604412,77675485,77951150,78326793,78420797,78472858,78901651,79083307,79355251,79417306,79463425,80221092,80672986,81129519,81329707,81429942,81745852,81749173,81862147,82002658,82014537,82065078,82317462,82480051,82481456,83116044,83405506,83502885,84127092,84839836,85094733,85345306,85354492,85687507,85704675,85927877,86113387,86198900,86379025,86427226,86504386,86810164,86847669,86856786,87043987,87054681,87183140,87410236,87813658,88044226,88611005,89069744,89194906,89455627,89841101,90517051,91083547,91257058,91325251,91418320,92261585,92524051,92791638,92999605,93091485,93156058,93210582,93307546,93314251,93541380,93583238,93886910,93941227,94097251,94517146,94561817,94569052,94718467,94802510,95146941,95356110,95501300,95826765,96028793,96323866,97157251,97193685,97382107,97619836,97876965,98046658,98422867,98864587,99297584,99777472,99885187,99909658,...,181398722441484731486108712373195525340356874991284294400792429738873154754922055202764964610267096147593490483550426842038720207964379125121726944298934532174577460315438365553869998806416590710531235773282867507548439366762771610834327179942052150777036458074009401791887168322306703585665159818844422466717106822335434441985579575548002086459998869618815248876915507707245912940868209991519034403461558556781445756760129009218924271468177074238603690547349433994773457968853624666433211331533587392666114784914220261847444858700627876069968461123310869066383952674799020824798902825169674104567389155315047431264434864658030046525868528748291156445489988392355668546429213747221005556986653659720020191116233217835065860286911730164902278612753228612009932000587443440587809891802811836464684632675637704417593410459447974294273024974976422271321579736871645482704799027017151386016039560281443457673250458625540651471402942444050685043375288649598564719756115670453986678713176558462086568655083128315380423823144191740302720581491767031443700940948553095702876196237587788746892855013088202605996859237280560666135363603178623164356555487418994040243128414238422950501626510535363226508613023870045814281105103748953575222235751831362519711746521256012360360421816752794478511405360954581854636977646854984032963760861587701751412884774637960934648888599136921344973898495306382161333588533399723764009007924289088533219723617356860524206062381573272480415761277199316836801763464349597721304938042540750256788143502776788434134121602109396348431214528642165672693963840234123440827596787212234758384745325749926868309578360448315325320228167328930286425819131405310554721403631706658632665255474994610000230733777254587928666989965944459324876926589256455801092632272541018953485925623593327431947055535361432631944669800085431576533010394911227448255430655029033552134669284226191303902390914623131106450351384948945699084071623042619514177756846754596758928650214963286110939461522559238818684179102408711898722264983223771327847979036568124217958255152647019710752649021338606765703615200048235683151845022825591768792467602309076397947191231025470714124007022211392480677017875501713490686833559421004741511583317991614535280152198841491229053145985530908947341683934048054104582338532019674192712054382052819695208833342625594702975872785025646342027314490513520071254186084542337139811093020007649241748848273932712685320589787529561441390250062333815782077596927526563764220390549443601368674405000968861380764437346945100822122424226161614476953986871481630995969756977344518689249003371173018109350989349878612327083983881961157813290773271787783833757320467783056082961795389144685051745194237576534631685315898042447516261501501917349529413997741763272912591696773160487614831637188054343841871960459947607153285767452469834329007189545204988923889836330082362638546453298140874905988844716708377100317404789071736424665909937893502996769454645735358169922360735951320930033891334034142628571681023166828559500034739314938524913546797335722521193332983085864209408216779940307042238086342937777651067858120587501633468682727724082605612187884284320016916518737780686316133541346503121311377541391774220623708012965480537729742027975658608830180177091016246965738180298945696072245727257180110327598169334532405285110790262927418881535477132410545023359436196303406237457101849725932843264534506206325923207110686577743569143699569462575705287176426788454144181397415432446748688824699409036862126619017852042429757156124405139126809543563801349783311244051650787537097118258176790353744385038633251433175781125689387223767570107577725270711088294979322628682600208388770626633581399341640856048818}
23349  72947075226482398688281689722520787899705682531928838579878761301804732369433: {490119,583475,700170,746848,840204,909987,1283315,1329639,1539978,1982795,2286634,2379354,2681915,2822567,3218298,3266620,3703587,3919944,4245514,4361027,4409937,4666600,4679079,5058487,5249925,5474795,5599920,5973248,6065020,6172115,6203386,6299910,6569754,6719904,7184716,7226410,7278024,7406538,7559892,7882498,8187777,8415271,8671692,8861980,9464266,9538899,10263880,10369059,10506947,10634376,10922019,11100796,11546865,11890459,11963673,12026787,12041447,12316656,12440679,13020787,13339612,13520380,13856238,13939978,14024794,15058906,15108071,15326794,15539099,15858280,15881379,16224456,16233827,16374979,16986370,17145345,17840565,18252513,18288368,19029936,19580487,19587731,19880266,20035420,20263587,20267299,20383644,20411125,20574414,20974379,21218919,21408678,21895420,21900579,22035178,22411714,22574728,22576519,23129386,23590732,24042504,24349587,24493350,24830338,25164599,25396569,25706787,26039338,26126240,26237795,26274504,26384487,26744956,26947516,26968771,27047817,27443866,27678731,28143699,28400380,28970746,29158750,29302594,29392020,29558817,29666795,30168519,30351515,30650956,31351488,31485354,31833165,32238199,32252170,32403515,32747146,32912659,33041980,33215818,33396999,33955376,34080456,34164487,34298506,34899751,34963907,34990500,35270424,35600154,36421818,36497795,36745114,37020979,37323200,37710057,37896625,37927516,38006771,38199798,38207080,38318059,38340513,38456908,38480487,38702604,38880339,38884218,39413139,39650376,39679227,41386780,41407719,41916979,41988600,42020572,42204039,42565306,42982965,43765687,43787080,43797354,43970315,44058759,44066572,44503354,44606673,44787840,44892925,45149146,45455239,45475950,45600071,45679879,45848496,46000715,46040739,46054570,46062536,47237175,47773696,48148899,48259906,48292327,48507680,48806410,49021546,49103587,49110076,49260465,49332039,49656412,49664136,49725987,50175658,50386320,50456539,50725715,51346588,51579558,51668627,51820353,52169098,52346787,52477507,52493020,52544496,52764378,53316487,53402026,53417795,53745408,53871510,53914659,54178474,54571140,54938440,55200858,55265484,55698346,55872153,55988839,55993721,56089544,56104115,56110474,56171899,56296065,56684610,57462944,58065787,58208487,58209216,58567692,58600156,58684906,59112558,59115939,60049136,60463584,60727271,60807580,60870858,60920839,61805745,62145724,62452186,62522410,62991624,62991699,63100737,63461795,63576220,63743207,63828394,64101354,64132750,64156924,64498780,64617514,64645812,64845946,65249987,65256970,65485368,65563539,65926128,66425932,66845859,67019125,67324938,67456715,67548187,67555278,67805866,68021532,68110619,69125059,69530919,70030780,70112795,70598146,70865577,70936426,71060487,71269187,71442339,71748199,72080770,72171274,72586599,72969096,73068539,73079985,73424795,73671039,74086115,74166894,74489379,75026892,75119925,76154154,76166410,76291464,76765587,76959300,77275965,77397820,77398536,77936026,77951984,78076858,78308364,78423211,78775367,78902119,78908199,79029418,79285587,79363715,79991030,80127920,80157820,80245570,80274227,80422950,80541987,80792979,80948058,81169287,81340954,82046499,82089920,82090233,82427696,82627714,83035459,83098378,83152588,83835580,84033928,84036936,84135354,84671079,84811987,84912652,84920487,85784480,85827897,86414919,86427667,86496924,86885386,87029770,87073353,87160839,87236915,87305288,87458311,87695982,88095011,88109754,88449499,88903338,88953719,88999036,89145226,89438314,89631464,90143910,90353386,90508845,90714106,91183420,91351834,91399692,91495139,91542297,91883368,91908739,92091724,92351160,92727699,92731158,92877384,93355228,93577699,94538169,94541553,95236458,95431587,95671387,95989236,96153504,96189384,96294684,96497410,96507540,96542768,96744508,96804739,97005515,97268487,97512999,98218449,98265178,98486627,98507904,98592904,99913468,...,272098083662227097229163068559793288010535312486926441601188644608309732132383082804147446915400644221390235725325640263058080311946568687682590416448401798261866190473157548330804998209624886065796853659924301261322659050144157416251490769913078226165554687111014102687830752483460055378497739728266633700075660233503151662978369363322003129689998304428222873315373261560868869411302314987278551605192337835172168635140193513828386407202265611357905535821024150992160186953280436999649816997300381088999172177371330392771167288050941814104952691684966303599575929012198531237198354237754511156851083732972571146896652296987045069788802793122436734668234982588533502819643820620831508335479980489580030286674349826752598790430367595247353417919129842918014898000881165160881714837704217754697026949013456556626390115689171961441409537462464633406982369605307468224057198540525727079024059340422165186509875687938310977207104413666076027565062932974397847079634173505680980018069764837693129852982624692473070635734716287610454080872237650547165551411422829643554314294356381683120339282519632303908995288855920840999203045404767934746534833231128491060364692621357634425752439765803044839762919535805068721421657655623430362833353627747043779567619781884018540540632725129191717767108041431872781955466470282476049445641292381552627119327161956941401973332898705382017460847742959573242000382800099585646013511886433632799829585426035290786309093572359908720623641915798975255202645196524396581957407063811125385182215254165182651201182403164094522646821792963248509040945760351185161241395180818352137577117988624890302464367540672472987980342250993395429638728697107965832082105447559987948997883212491915000346100665881881893000484948916688987315389883884683701638948408811528430228888435389991147920583303042148947917004700128147364799515592366841172383145982543550328202003926339286955853586371934696659675527077423418548626107434563929271266635270131895138392975322444929166409192283838858228026268653613067848083397474835656991771968554852186326937382728970529566128973532007910148555422800072353524727767534238387653188701403463614596920786846538206071186010533317088721015526813252570236030250339131507112267374976987421802920228298262236843579718978296363421012525901072081156873507798029511289068081573079229542813250013938392054463809177538469513040971735770280106881279126813505709716639530011473862623272410899069027980884681294342162085375093500723673116395391289845646330585824165402053011607501453292071146656020417651233183636339242421715430980307222446493954635466016778033873505056759527164026484024817918490625975822941736719936159907681675750635980701674584124442693083717027577617791356364801947527973847063671274392252252876024294120996612644909368887545159740731422247455782081515762807940689921410729928651178704751493510784317807483385834754495123543957819679947211312358983267075062565650476107183607604636998864906840254495154181968603037254883541103926981395050837001051213942857521534750242839250052108972407787370320196003583781789999474628796314112325169910460563357129514406666476601787180881252450203024091586123908418281826426480025374778106671029474200312019754681967066312087661330935562019448220806594613041963487913245270265636524370448607270448418544108368590885770165491397254001798607927666185394391128322303215698615817535039154294455109356185652774588899264896801759309488884810666029866615353715549354193863557930764640182681216272096123148670123033237049113555293189928526778063644635734186607708690214315345702024674966866077476181305645677387265185530616577557949877149763671688534080835651355161366587906066632442468983943023900312583155939950372099012461284073227}
23350  73206946290023028418418502455058611864047313330915020589207702023454190920849: {256729,396661,536521,653492,676309,933560,1050255,1120272,1213316,1234741,1260306,1374169,1652809,1725014,1772852,2053304,2309967,3172472,3429951,3456949,3569031,3676502,4083275,4291064,4423369,4510694,4827447,4899930,4938116,5226592,5386261,5797849,5833250,5879916,6071881,6208789,6238772,6368271,6452102,6755701,6999900,7005494,7165129,7466560,7581275,7982041,8386454,8399880,8759672,8931829,8959872,8980895,9097530,9305079,9449865,9704032,9854631,9875384,10079856,10147801,10282549,10777074,10839615,10917036,10955209,11077475,11109807,11223769,11339838,11562256,11823747,12718532,12781334,12829081,12829850,13007538,13292970,13627849,13825412,13875995,14147174,14179168,14196399,14556469,14562692,14821141,14953369,15237254,15395820,15509414,15951564,16002322,16035716,16422208,16587572,16651194,16674515,16900475,18235669,18474984,18886729,19752887,19795189,19822850,20009418,20280570,20784357,20909967,21037191,21086869,21175172,21344341,21632608,21986761,22266614,22588359,22860460,22990191,23787420,24284569,24336684,24538441,24677174,25044275,25373248,25479555,26011334,26107316,26433301,26935861,27018116,27178192,27369275,27432552,27607574,27812569,28187221,28218410,28291892,28311961,28544904,28668854,29058889,29200772,29488415,29710954,29820399,30053130,30174421,30575466,30861621,31529929,32056672,32102102,32113017,32466116,32510281,32657800,32754649,32843130,32890934,32998729,33052767,33431195,33617571,33684395,33862092,34275716,34457161,34694079,35032672,35061781,35179316,35386098,35500475,35544181,36063756,36145561,36740025,37245507,37462261,37524932,38313695,38533081,39059007,39189360,39411756,39716041,40117434,40224692,40304719,40421274,40707974,41165799,41302475,41360089,41710549,41801984,41980472,42176821,42444220,42600570,42758041,43221721,43284854,43456119,43738125,43953891,44088030,44260789,44529332,45179509,45440608,45976434,46654000,46662601,47027232,47228031,47343001,47409395,47466872,47632502,47758850,47950727,48071135,48378255,48562424,49032661,49078351,49120719,49144729,49562970,49823727,50280076,50483929,50933064,51120684,51149641,51214267,51307316,51447759,51603472,51702421,51733475,51840452,51845624,52485750,52525715,52542994,52550852,52867168,52905636,52912201,53197094,53400231,53568409,53786569,54547861,54632727,54702614,54733850,54981301,55083215,55117671,55210292,55521481,55952329,55984800,56272052,56891274,57200294,57299697,57310620,57557749,57578170,57685362,58053906,58195334,58301401,58326327,58396472,58745012,59462869,59475564,59717120,59987929,60302101,60634600,61131328,61387595,61387652,61448521,62070515,62080170,62586229,62982900,63030858,63100489,63847959,63919561,64183235,64198532,64530841,64835509,65096102,65616275,65680620,65696031,65776052,66099858,66148249,66218848,66301316,66649909,66755031,66803654,67149769,67181760,67349209,67533302,67647829,67723719,68044981,68207986,68213925,68673050,68772744,68835829,69081855,69093804,69472694,69795716,69956102,70059328,70111930,70352504,70403701,70438934,71470921,71660544,71828680,71886212,72124234,72389859,72761520,73209615,73250195,73529687,73532319,73563302,73601144,73665114,73687312,73769161,73958809,74242741,74484618,74496204,75061420,75263487,75473894,75559189,75579480,75950102,76009475,76119061,76212121,76305109,76392127,76583641,77019882,77138102,77369337,77611316,77612288,77682155,78090256,78149749,78253647,78427531,78739530,78788569,78795254,78816744,78821252,79146567,79470275,79514329,79974614,80103039,80196155,80210054,80397947,80594329,80618112,80623475,80807265,80862709,81161144,81267711,81486409,81856710,82407660,82459381,82635349,82801287,82898226,83032415,83248969,83491094,83547519,83988832,83988932,84119449,84134316,84165711,84474922,84551989,85026915,85468472,85497241,86194416,86268791,86512502,86670298,86772181,86940949,87313824,87361609,87387047,87418052,87538475,87851538,87900234,87901504,88027359,88114261,88668837,89127812,89766584,90073704,90255829,90655814,90695376,90904981,91211370,91306287,91570214,91870069,92029909,92254502,92269129,92707892,92824789,93061849,93218586,93591274,93678279,93783615,94487436,94747316,94780489,95001599,95166229,95256452,95320021,95364330,95703241,95742591,95779669,96037039,96107654,96152031,96199125,96235386,96333014,96612659,96747275,96748170,96782132,96842101,96926271,96968718,97268919,97292128,97439980,97442869,97885455,98148274,98228052,98578694,98889192,99319172,99638898,...,362797444882969462972217424746391050680713749982568588801584859477746309509844110405529929220534192295186980967100853684077440415928758250243453888597869064349154920630876731107739997612833181421062471546565735015096878733525543221668654359884104301554072916148018803583774336644613407171330319637688844933434213644670868883971159151096004172919997739237630497753831015414491825881736419983038068806923117113562891513520258018437848542936354148477207381094698867989546915937707249332866422663067174785332229569828440523694889717401255752139936922246621738132767905349598041649597805650339348209134778310630094862528869729316060093051737057496582312890979976784711337092858427494442011113973307319440040382232466435670131720573823460329804557225506457224019864001174886881175619783605623672929369265351275408835186820918895948588546049949952844542643159473743290965409598054034302772032079120562886915346500917251081302942805884888101370086750577299197129439512231340907973357426353116924173137310166256630760847646288383480605441162983534062887401881897106191405752392475175577493785710026176405211993718474561121332270727206357246328713110974837988080486256828476845901003253021070726453017226047740091628562210207497907150444471503662725039423493042512024720720843633505588957022810721909163709273955293709968065927521723175403502825769549275921869297777198273842689947796990612764322667177066799447528018015848578177066439447234713721048412124763146544960831522554398633673603526928699195442609876085081500513576287005553576868268243204218792696862429057284331345387927680468246881655193574424469516769490651499853736619156720896630650640456334657860572851638262810621109442807263413317265330510949989220000461467554509175857333979931888918649753853178512911602185264545082037906971851247186654863894111070722865263889339600170863153066020789822454896510861310058067104269338568452382607804781829246262212900702769897891398168143246085239028355513693509193517857300429926572221878923045118477637368358204817423797444529966447542655695958073136248435916510305294039421505298042677213531407230400096471366303690045651183537584935204618152795894382462050941428248014044422784961354035751003426981373667118842009483023166635983229070560304397682982458106291971061817894683367868096108209164677064039348385424108764105639390417666685251189405951745570051292684054628981027040142508372169084674279622186040015298483497696547865425370641179575059122882780500124667631564155193855053127528440781098887202737348810001937722761528874693890201644244848452323228953907973742963261991939513954689037378498006742346036218701978699757224654167967763922315626581546543575567667514640935566112165923590778289370103490388475153069263370631796084895032523003003834699058827995483526545825183393546320975229663274376108687683743920919895214306571534904939668658014379090409977847779672660164725277092906596281749811977689433416754200634809578143472849331819875787005993538909291470716339844721471902641860067782668068285257143362046333657119000069478629877049827093594671445042386665966171728418816433559880614084476172685875555302135716241175003266937365455448165211224375768568640033833037475561372632267082693006242622755082783548441247416025930961075459484055951317217660360354182032493931476360597891392144491454514360220655196338669064810570221580525854837763070954264821090046718872392606812474914203699451865686529069012412651846414221373155487138287399138925151410574352853576908288362794830864893497377649398818073724253238035704084859514312248810278253619087127602699566622488103301575074194236516353580707488770077266502866351562251378774447535140215155450541422176589958645257365200416777541253267162798683281712097636}
23351  73467737074431072012286129932335053277807426132112769933518892999616254827348: {816865,980238,1166950,1400340,1493696,1516645,1680408,1796641,1819974,1890459,2216065,2566630,2587521,2659278,2775913,3079956,3335761,3754681,3965590,4573268,4758708,4874089,5153941,5363830,5514753,5645134,6172645,6436596,6533240,6766041,7349895,7407174,7436209,7664713,7798465,7839888,8491028,8640961,8722054,8749875,8819874,9114601,9333200,9358158,9678153,10116974,10499850,10508241,10949590,11019481,11199840,11946496,12042481,12130040,12344230,12406772,12417301,12579681,12599820,13139508,13439808,13646295,14230801,14369432,14452820,14556048,14653813,14813076,15119784,15620209,15764996,15898165,16165611,16235221,16375554,16610761,16830542,17009757,17025721,17281765,17343384,17723960,17854993,18143689,18173089,18203365,18928532,19077798,19172001,19244775,19511307,19589413,19820641,19939455,20044645,20527760,20734465,20738118,20938609,21013894,21220761,21268752,21844038,22201592,22762729,22855881,23093730,23264121,23441953,23780918,23927346,24003483,24053574,24082894,24633312,24881358,24976791,26041574,26468965,26679224,27040760,27712476,27879956,28049588,28575575,28871161,29028913,29587609,29734275,30014127,30117812,30216142,30420855,30653588,31078198,31576033,31716560,31762758,32448912,32467654,32634145,32749958,32807161,33399921,33444169,33772645,33972740,34290690,34966921,35364865,35474329,35681130,35764453,36500965,36505026,36576736,36732913,37015761,38059872,38516929,39017001,39115189,39160974,39175462,39760532,40070840,40527174,40534598,40582645,40767288,40822250,41148828,41320981,41411361,41533513,41948758,42249913,42327615,42437838,42492121,42568801,42817356,42844645,43003281,43790840,43801158,43974145,44070356,44086801,44566431,44823428,44917093,45079695,45149456,45153038,45364921,45863199,46109569,46258772,46906165,47181464,47873809,48085008,48153153,48699174,48986700,49264695,49336401,49660676,50150881,50280865,50329198,50793138,51096913,51413574,51673081,52078676,52252480,52475590,52549008,52768974,53055275,53079147,53489912,53890993,53895032,53937542,53956321,54025813,54095634,54887732,55357462,55661665,56244169,56287398,56706001,56800760,57747289,57918241,57941492,58317500,58605188,58784040,59117634,59333590,60176151,60337038,60631911,60703030,61061961,61235449,61301912,61558441,62702976,62850095,62970708,63666330,63900855,64134145,64401001,64476398,64504340,64800565,64807030,64927281,65494292,65688565,65771113,65825318,66083960,66132045,66431636,66793998,67770121,67910752,68160912,68267089,68328974,68597012,68964651,69012865,69799502,69892561,69927814,69981000,70272961,70340065,70540848,71016001,71200308,71275369,71448753,71638275,71768593,71776441,72843636,72995590,73431265,73490228,74041958,74135233,74344455,74646400,74784913,75145321,75332881,75420114,75793250,75855032,76013542,76055893,76123633,76399596,76414160,76636118,76681026,76734565,76913816,76960974,77113621,77405208,77760678,77768436,78545761,78728625,78782209,78814491,78826278,79041481,79281961,79300752,79358454,79795641,80248165,82053921,82100775,82220065,82773560,82815438,82876645,83833958,83977200,84041144,84227221,84408078,85130612,85272121,85336911,85800441,85965930,86367255,86528043,87080859,87244645,87293001,87403201,87531374,87574160,87594708,87764281,87940630,88117518,88133144,88846513,89006708,89213346,89575680,89785850,89857765,90298292,90910478,90951900,91200142,91359758,91696992,92001430,92081478,92109140,92125072,92742001,93098161,93120255,93826775,94170529,94439401,94474350,94546287,94869541,95547392,95724409,96108469,96297798,96519812,96584654,97003381,97014145,97015360,97612820,97644153,98043092,98157913,98207174,98220152,98520930,98526565,98664078,99149787,99312824,99328272,99451974,...,544196167324454194458326137119586576021070624973852883202377289216619464264766165608294893830801288442780471450651280526116160623893137375365180832896803596523732380946315096661609996419249772131593707319848602522645318100288314832502981539826156452331109374222028205375661504966920110756995479456533267400151320467006303325956738726644006259379996608856445746630746523121737738822604629974557103210384675670344337270280387027656772814404531222715811071642048301984320373906560873999299633994600762177998344354742660785542334576101883628209905383369932607199151858024397062474396708475509022313702167465945142293793304593974090139577605586244873469336469965177067005639287641241663016670959960979160060573348699653505197580860735190494706835838259685836029796001762330321763429675408435509394053898026913113252780231378343922882819074924929266813964739210614936448114397081051454158048118680844330373019751375876621954414208827332152055130125865948795694159268347011361960036139529675386259705965249384946141271469432575220908161744475301094331102822845659287108628588712763366240678565039264607817990577711841681998406090809535869493069666462256982120729385242715268851504879531606089679525839071610137442843315311246860725666707255494087559135239563768037081081265450258383435534216082863745563910932940564952098891282584763105254238654323913882803946665797410764034921695485919146484000765600199171292027023772867265599659170852070581572618187144719817441247283831597950510405290393048793163914814127622250770364430508330365302402364806328189045293643585926497018081891520702370322482790361636704275154235977249780604928735081344945975960684501986790859277457394215931664164210895119975897995766424983830000692201331763763786000969897833377974630779767769367403277896817623056860457776870779982295841166606084297895834009400256294729599031184733682344766291965087100656404007852678573911707172743869393319351054154846837097252214869127858542533270540263790276785950644889858332818384567677716456052537307226135696166794949671313983543937109704372653874765457941059132257947064015820297110845600144707049455535068476775306377402806927229193841573693076412142372021066634177442031053626505140472060500678263014224534749953974843605840456596524473687159437956592726842025051802144162313747015596059022578136163146158459085626500027876784108927618355076939026081943471540560213762558253627011419433279060022947725246544821798138055961769362588684324170750187001447346232790782579691292661171648330804106023215002906584142293312040835302466367272678484843430861960614444892987909270932033556067747010113519054328052968049635836981251951645883473439872319815363351501271961403349168248885386167434055155235582712729603895055947694127342548784504505752048588241993225289818737775090319481462844494911564163031525615881379842821459857302357409502987021568635614966771669508990247087915639359894422624717966534150125131300952214367215209273997729813680508990308363937206074509767082207853962790101674002102427885715043069500485678500104217944815574740640392007167563579998949257592628224650339820921126714259028813332953203574361762504900406048183172247816836563652852960050749556213342058948400624039509363934132624175322661871124038896441613189226083926975826490540531273048740897214540896837088216737181771540330982794508003597215855332370788782256644606431397231635070078308588910218712371305549177798529793603518618977769621332059733230707431098708387727115861529280365362432544192246297340246066474098227110586379857053556127289271468373215417380428630691404049349933732154952362611291354774530371061233155115899754299527343377068161671302710322733175812133264884937967886047800625166311879900744198024922568146454}
23352  73729450813405905208358305187448069971008642920411762316512330511334718213881: {303407,443327,513458,722951,793322,955751,1073042,1306984,1352618,1374287,1420751,1470357,1699367,1750425,1867120,1931327,2100510,2240544,2348351,2426632,2469482,2520612,2729961,2748338,3305618,3450028,3457247,3503351,3545704,3779807,3849945,3988917,4106608,4147967,4469687,4619934,5716585,5948385,6254951,6344944,6482951,6756287,6859902,6913898,7138062,7165751,7211207,7353004,7619951,8028047,8045745,8166550,8254487,8467701,8582128,8706767,8846738,8932607,9021388,9383687,9654894,9799860,9876232,9878951,10453184,10613785,10772522,11110761,11224751,11403647,11595698,11666500,11759832,12143762,12340751,12417578,12477544,12573253,12736542,12904204,12963527,13083081,13229811,13511402,13673351,13939007,13999800,14010988,14037237,14330258,14336951,14601887,14822447,14933120,14998751,15162550,15175461,15262967,15482927,15508465,15749775,15878351,15964082,16053887,16424385,16579727,16711007,16772908,16799760,17519344,17863658,17919744,17961790,18066025,18195060,18237287,18280751,18497951,18516345,18610158,18899730,19408064,19426393,19706245,19709262,19750768,19840127,20159712,20295602,20443751,20565098,20615927,21554148,21679230,21731951,21834072,21910418,21988727,22154950,22219614,22447538,22544087,22679676,23124512,23344321,23395847,23647494,23650751,23660665,23820527,24329087,24563331,24963167,25245813,25437064,25562668,25658162,25659700,25805807,26015076,26183951,26435687,26585940,27063767,27189167,27255698,27650824,27751990,27815087,28231367,28294348,28358336,28392798,28439207,28616697,28688351,29102951,29112938,29125384,29642282,29906738,29929751,30474508,30791640,30917687,31018828,31107177,31204967,31520841,31903128,31941887,32004644,32071432,32186951,32390951,32554007,32635487,32766057,32844416,33001751,33175144,33302388,33349030,33407951,33772847,33800950,33853847,34379567,34640595,34823351,34849945,35061985,35065007,35671377,35891019,36080361,36124341,36188927,36471338,36949968,37322037,37624751,37647265,37773458,37863047,38316985,38457527,38576207,39062361,39247367,39404951,39505774,39590378,39645700,39994751,40018836,40190951,40561140,41283781,41402927,41568714,41753351,41819934,42074382,42173738,42180767,42350344,42465925,42688682,42916751,43264367,43265216,43457207,43973522,44034527,44303327,44533228,45176718,45221951,45324213,45412751,45720920,45793751,45980382,46591247,46617297,46780607,46803673,47158153,47498351,47574840,47644137,48288287,48569138,48673368,48701481,49037327,49076882,49124937,49149407,49186751,49354348,49373351,49700665,49745951,50080607,50088550,50154887,50710967,50746496,50959110,51436035,51633767,52022668,52185047,52214632,52866602,52917287,53521695,53573567,53591989,53639173,53828087,53871722,54036232,54118487,54335951,54356384,54553127,54738550,54757539,54865104,55022687,55087945,55215148,55238951,55562807,55625138,55957751,55993607,56029285,56374442,56436820,56494751,56583784,56623922,56669041,56709047,57089808,57337708,57350207,57563351,57598847,57823465,57882527,58117778,58307087,58401544,58741461,58763193,58976830,59421908,59468687,59640798,60106260,60238247,60348842,60412607,60790761,60801897,61038647,61150932,61233375,61246751,61385327,61723242,62075845,62489327,62923137,63059858,63106727,63140951,63656757,63959927,64113344,64204204,64226034,64333751,64537247,64638887,64932232,64977167,65020562,65098345,65315600,65348351,65509298,65686260,65701737,65781868,65997458,66105534,66188351,66373153,66556367,66656567,66689951,66862390,67156487,67189751,67235142,67299589,67368790,67389167,67654607,67687751,67724184,67729557,68381927,68551432,68609665,68842751,68875607,68914322,69334751,69388158,69465647,69661751,70020527,70065344,70118207,70123562,70358632,70443287,70772196,70994087,71000950,71088362,71317007,71799887,72127512,72248951,72291122,72426865,72568751,72896875,73048761,73256485,73480050,73536001,73808327,74187287,74491014,74627951,74924522,75049864,75098351,75286007,75493797,75566951,75691607,76033751,76157927,76189707,76219967,76312967,76343951,76627390,77066162,77116501,77120361,77699327,78118014,78188351,78378720,78614567,78713385,78823512,78827087,79153461,79432082,79432127,79522607,80234868,80449384,80602751,80609438,80630425,80842548,80900951,80906313,81143451,81415948,81494951,81524567,81672527,81867865,82331598,82497407,82604950,82720178,82995167,83036193,83039545,83421098,83603968,83960944,83983751,84353642,84431097,84589727,84733487,84888440,85020407,85201140,85516082,85534847,85746265,85942633,86301647,86443442,86555951,86569708,86809607,86898721,86912238,86978351,87286967,87476250,87538751,87907782,88176060,88484087,88521578,88676451,89000385,89035847,89058664,89228207,89474951,89856529,90020951,90359018,90505557,90536687,90671927,90881216,91054545,91103351,91398767,91746647,91862785,91906751,91952868,92066567,92279207,92438351,93072047,93098351,93308000,93325202,93334727,93779447,94013951,94054464,94456062,94506887,94686002,94790951,94816727,94818790,94933744,95265004,95499495,95517700,95713847,95790287,95901454,96142270,96701951,96714597,96756510,96852887,97103807,97124848,97210545,97328951,97453751,97478687,97553447,97826951,98065322,98156702,98198351,98241438,98289458,98737977,98960207,99033527,99125940,99301751,99647454,99690167,99883607,...,816294250986681291687489205679379864031605937460779324803565933824929196397149248412442340746201932664170707175976920789174240935839706063047771249345205394785598571419472644992414994628874658197390560979772903783967977150432472248754472309739234678496664061333042308063492257450380166135493219184799901100226980700509454988935108089966009389069994913284668619946119784682606608233906944961835654815577013505516505905420580541485159221606796834073716607463072452976480560859841310998949450991901143266997516532113991178313501864152825442314858075054898910798727787036595593711595062713263533470553251198917713440689956890961135209366408379367310204004704947765600508458931461862494525006439941468740090860023049480257796371291102785742060253757389528754044694002643495482645144513112653264091080847040369669879170347067515884324228612387393900220947108815922404672171595621577181237072178021266495559529627063814932931621313240998228082695188798923193541238902520517042940054209294513079389558947874077419211907204148862831362242616712951641496654234268488930662942883069145049361017847558896911726985866567762522997609136214303804239604499693385473181094077864072903277257319297409134519288758607415206164264972966870291088500060883241131338702859345652055621621898175387575153301324124295618345866399410847428148336923877144657881357981485870824205919998696116146052382543228878719726001148400298756938040535659300898399488756278105872358927280717079726161870925747396925765607935589573189745872221191433376155546645762495547953603547209492283567940465378889745527122837281053555483724185542455056412731353965874670907393102622017418963941026752980186288916186091323897496246316342679963846993649637475745001038301997645645679001454846750066961946169651654051104916845226434585290686665306169973443761749909126446843751014100384442094398546777100523517149437947630650984606011779017860867560759115804089979026581232270255645878322303691787813799905810395685415178925967334787499227576851516574684078805960839203544250192424506970975315905664556558980812148186911588698386920596023730445666268400217060574183302602715162959566104210390843790762360539614618213558031599951266163046580439757710708090751017394521336802124930962265408760684894786710530739156934889090263037577703216243470620523394088533867204244719237688628439750041815176163391427532615408539122915207310840320643837380440517129149918590034421587869817232697207083942654043883026486256125280502171019349186173869536938991757472496206159034822504359876213439968061252953699550909017727265146292940921667339481863906398050334101620515170278581492079452074453755471877927468825210159808479723045027251907942105023752373328079251151082732853374069094405842583921541191013823176756758628072882362989837934728106662635479222194266742367346244547288423822069764232189785953536114254480532352953422450157504263485370631873459039841633937076949801225187696951428321550822813910996594720520763485462545905809111764650623311780944185152511003153641828572564604250728517750156326917223362110960588010751345369998423886388942336975509731381690071388543219999429805361542643757350609072274758371725254845479279440076124334320013088422600936059264045901198936262983992806686058344662419783839125890463739735810796909573111345821811345255632325105772657310496474191762005395823782998556183173384966909647095847452605117462883365328068556958323766697794690405277928466654431998089599846061146648062581590673792293920548043648816288369446010369099711147340665879569785580334190933907202559823126070642946037106074024900598232428543916937032161795556591849732673849631449291015065602242506954065484099763718199897327406951829071700937749467819851116297037383852219681}
23353  73992090751941903939305219880515199737289176214080660554788009834987896472803: {770187,1143611,1189983,1609563,1633730,1960476,2028927,2123303,2333900,2800680,2987392,3033290,3102491,3150765,3360816,3593282,3639948,3704223,3780918,3942263,4122507,4312535,4432130,4958427,5133260,5175042,5318556,5551826,5760287,6159912,6671522,6929901,7509362,7931180,7949051,8641703,8788247,9146536,9191255,9517416,9748178,10186907,10289853,10307882,10370847,10707093,10727660,10917851,11029506,11276735,11290268,12249825,12345290,12873192,13023023,13066480,13270107,13532082,14232023,14482341,14583125,14699790,14814348,14872418,15329426,15596930,15679776,16130255,16158783,16377791,16982056,17027183,17281922,17393547,17444108,17499750,17513735,17639748,18145247,18215643,18229202,18460247,18626367,18666400,18685007,18716316,19028747,19104813,19356306,19822343,20233948,20267103,20940407,20966135,20999700,21016482,21477287,21495387,21899180,22038962,22257431,22382651,22399680,22743825,23892992,23946123,24084962,24194471,24260080,24688460,24813544,24834602,25159362,25199640,25484711,26279016,26503391,26795487,26879616,26901407,26942685,27292590,27915237,28062503,28349595,28461602,28738864,28905640,29028251,29112096,29307626,29563893,29626152,30239568,30443403,30847647,31030907,31240418,31529992,31796330,31868951,31953335,32074625,32331222,32470442,32518845,32646407,32751108,32865627,33221522,33232425,33329421,33661084,33671307,34019514,34051442,34120463,34563530,34686768,35367935,35447920,35471241,35477387,35709986,36287378,36346178,36406730,36666827,37056551,37857064,38093135,38155596,38230967,38344002,38487243,38489550,38773535,39022614,39178826,39524927,39641282,39878910,40005805,40089290,40464791,40883547,41023247,41055520,41324543,41468930,41476236,41627985,41877218,41924207,42027788,42247067,42441522,42537504,42589197,43039631,43669407,43688076,44403184,44463423,44860107,45520007,45525458,45687803,45711762,46187460,46528242,46883906,47220491,47281703,47561836,47854692,48006966,48107148,48165788,49222367,49266624,49510811,49557125,49762716,49953582,50023545,50108231,50308583,50660027,50701425,51101351,51175451,52083148,52102583,52937930,53358448,53687051,54081520,54493127,54707007,54814511,55024763,55424952,55666535,55759912,56099176,56660187,56815703,57151150,57742322,57752267,58057826,58150751,58987787,59175218,59258661,59269223,59385567,59468550,59982503,60028254,60235624,60381791,60432284,60841710,61307176,61563803,61692935,62156396,62353071,62729901,63111573,63152066,63260607,63433120,63525516,64033023,64212383,64897824,64935308,65028335,65268290,65337551,65499916,65614322,65668631,65960283,66799842,66888338,67016183,67545290,67765077,67775963,67945480,68581380,68774651,68970573,69018935,69933842,70393211,70546025,70729730,70948658,71362260,71528906,71672135,71782667,72369167,72853707,73001930,73010052,73153472,73465826,73508891,73615323,74031522,74277385,75132825,75932183,76119744,76438665,76486511,77033858,77926331,78034002,78230378,78321948,78350924,79288847,79299903,79521064,80141680,80255255,80679287,80807583,81054348,81069196,81165290,81301127,81534576,81644500,82107825,82227335,82297656,82641962,82822722,82897163,83049863,83067026,83437707,83677703,83783051,83897516,83985947,84234527,84499826,84561663,84655230,84826703,84875676,84935883,84984242,85137602,85434551,85634712,85689290,86006562,86241851,86853083,87176667,87581680,87602316,87948290,87990133,88140712,88173602,88270127,88465245,89132862,89461197,89646856,89787803,89834186,89865263,90159390,90298912,90306076,90523263,90720791,90729842,91726398,91816331,91884431,91963991,92219138,92517544,92584863,93106247,93696863,93812330,94362928,94589787,95732747,95747618,96170016,96306306,96339051,96618011,97011743,97398348,97530843,97973400,98011607,98263947,98476091,98529390,98672802,98996187,99158301,99321352,...,1088392334648908388916652274239173152042141249947705766404754578433238928529532331216589787661602576885560942901302561052232321247786274750730361665793607193047464761892630193323219992838499544263187414639697205045290636200576629665005963079652312904662218748444056410751323009933840221513990958913066534800302640934012606651913477453288012518759993217712891493261493046243475477645209259949114206420769351340688674540560774055313545628809062445431622143284096603968640747813121747998599267989201524355996688709485321571084669152203767256419810766739865214398303716048794124948793416951018044627404334931890284587586609187948180279155211172489746938672939930354134011278575282483326033341919921958320121146697399307010395161721470380989413671676519371672059592003524660643526859350816871018788107796053826226505560462756687845765638149849858533627929478421229872896228794162102908316096237361688660746039502751753243908828417654664304110260251731897591388318536694022723920072279059350772519411930498769892282542938865150441816323488950602188662205645691318574217257177425526732481357130078529215635981155423683363996812181619071738986139332924513964241458770485430537703009759063212179359051678143220274885686630622493721451333414510988175118270479127536074162162530900516766871068432165727491127821865881129904197782565169526210508477308647827765607893331594821528069843390971838292968001531200398342584054047545734531199318341704141163145236374289439634882494567663195901020810580786097586327829628255244501540728861016660730604804729612656378090587287171852994036163783041404740644965580723273408550308471954499561209857470162689891951921369003973581718554914788431863328328421790239951795991532849967660001384402663527527572001939795666755949261559535538734806555793635246113720915553741559964591682333212168595791668018800512589459198062369467364689532583930174201312808015705357147823414345487738786638702108309693674194504429738255717085066541080527580553571901289779716665636769135355432912105074614452271392333589899342627967087874219408745307749530915882118264515894128031640594221691200289414098911070136953550612754805613854458387683147386152824284744042133268354884062107253010280944121001356526028449069499907949687211680913193048947374318875913185453684050103604288324627494031192118045156272326292316918171253000055753568217855236710153878052163886943081120427525116507254022838866558120045895450493089643596276111923538725177368648341500374002894692465581565159382585322343296661608212046430005813168284586624081670604932734545356969686861723921228889785975818541864067112135494020227038108656105936099271673962503903291766946879744639630726703002543922806698336497770772334868110310471165425459207790111895388254685097569009011504097176483986450579637475550180638962925688989823128326063051231762759685642919714604714819005974043137271229933543339017980494175831278719788845249435933068300250262601904428734430418547995459627361017980616727874412149019534164415707925580203348004204855771430086139000971357000208435889631149481280784014335127159997898515185256449300679641842253428518057626665906407148723525009800812096366344495633673127305705920101499112426684117896801248079018727868265248350645323742248077792883226378452167853951652981081062546097481794429081793674176433474363543080661965589016007194431710664741577564513289212862794463270140156617177820437424742611098355597059587207037237955539242664119466461414862197416775454231723058560730724865088384492594680492132948196454221172759714107112254578542936746430834760857261382808098699867464309904725222582709549060742122466310231799508599054686754136323342605420645466351624266529769875935772095601250332623759801488396049845136292908}
23354  74255660146367637778345770777437052785845704828002485679349845645187305052268: {606814,886654,1002373,1026916,1420873,1445902,1586644,1911502,2146084,2394853,2450595,2613968,2705236,2748574,2841502,2917375,2940714,2949829,3398734,3500850,3503653,3641929,3734240,3862654,4194313,4201020,4481088,4549935,4696702,4853264,4883173,4938964,5041224,5158213,5389923,5459922,5496676,5671377,6416575,6529093,6611236,6648195,6900056,6914494,7006702,7091408,7211833,7559614,7699890,7756729,7762563,7977834,8003219,8213216,8295934,8327739,8939374,9239868,9913975,9924793,10007283,11264043,11433170,11896770,12475429,12509902,12689888,12965902,13009093,13142329,13409575,13512574,13719804,13827796,13940233,14112835,14276124,14331502,14422414,14622267,14706008,14859299,15239902,15461823,16056094,16091490,16333100,16508974,16544259,16581193,16935402,17164256,17413534,17693476,17760229,17865214,18042776,18282373,18517935,18543013,18767374,19193353,19309788,19599720,19752464,19757902,20298123,20359429,20906368,21227570,21545044,21711851,21805135,22049685,22221522,22308627,22449502,22807294,22994139,23191396,23333000,23395395,23440453,23519664,23695333,24287524,24681502,24835156,24955088,25146506,25292435,25473084,25808408,25922883,25927054,26166162,26249625,26459622,26605753,27022804,27233413,27343803,27346702,27373975,27588743,27878014,27999600,28021976,28074474,28483333,28660516,28673902,28732453,29034459,29203774,29229829,29644894,29866240,29997502,30325100,30350922,30525934,30860575,30965854,31016930,31040251,31499550,31524723,31756702,31928164,32107774,32434693,32848770,33058443,33124931,33159454,33422014,33545816,33599520,34140229,34745929,35038688,35349829,35727316,35839488,35923580,36127443,36132050,36390120,36474574,36561502,36672073,36995902,37032690,37220316,37251903,37628233,37739043,37799460,37866553,38342329,38816128,38852786,39408613,39412490,39418524,39501536,39680254,39998473,40116229,40233913,40319424,40591204,40887502,40938885,41130196,41231854,42076355,42692403,43108296,43358460,43463902,43668144,43820836,43961439,43977454,44309900,44439228,44895076,45088174,45359352,45455173,45798073,46249024,46688642,46791694,46860627,47294988,47301502,47321330,47641054,47694495,48180229,48292873,48496833,48658174,48705663,48789923,49086779,49126662,49191433,49750693,49832283,49926334,50491626,50874128,51029271,51077163,51125336,51316324,51319400,51528229,51611614,51845295,52030152,52367902,52534735,52706171,52871374,53171880,53564979,53643779,54127534,54378334,54431067,54511396,54519267,54610095,54811429,55301648,55503980,55630174,55999033,56462734,56588696,56716672,56785596,56878414,57233394,57376702,57391333,57516003,57604453,57734325,58135993,58205902,58225876,58250768,58533921,58768239,59284564,59452295,59461923,59813476,59818365,59859502,60133935,60207235,60949016,61079353,61583280,61835374,62037656,62203395,62214354,62220229,62409934,62815827,63041682,63147193,63335987,63662283,63806256,63883774,64009288,64142864,64170313,64373902,64781902,65103935,65108014,65270974,65388553,65532114,65688832,66003502,66295429,66350288,66604776,66696613,66698060,66815902,66896773,66972503,67196473,67545694,67601900,67694533,67707694,68288187,68567643,68759134,68882533,69281190,69580931,69646702,69668773,69699890,69792363,70123970,70130014,70157833,70325859,71342754,71710729,71782038,72010449,72160722,72248682,72288313,72377854,72942676,73899936,74644074,74667013,74930373,75043429,75137353,75249502,75294530,75512329,75540355,75546916,75726094,75979429,76351813,76633970,76908229,76915054,77123123,77152414,77695495,77737993,78124722,78440999,78494734,78809902,79011548,79180756,79291400,79406895,79989502,80037672,80381902,80952851,81122280,81169135,81533113,81874895,82567562,82805854,83137428,83506702,83639868,83992633,84148764,84347476,84361534,84700688,84931850,85377364,85714873,85726725,85800229,85833502,86225929,86528734,86530432,86613483,86906183,86914414,87086739,87156133,87947044,88069054,88606654,88762827,89066456,89072953,89202825,89237833,89484613,89894473,90042381,90353436,90443902,90465253,90648426,90825502,91137683,91193929,91262565,91441840,91587502,91596229,91960764,93108553,93182494,93234594,93561214,93607346,94316306,94728099,94749829,94827193,94996702,95149680,95288274,96053531,96576574,97138276,97339813,97346736,97402962,97489573,97902435,97938655,98074654,98153764,98234053,98249874,98298814,98373502,98421483,98529829,98708696,98746702,98971333,99401330,99491902,99919033,99991429,...,1632588501973362583374978411358759728063211874921558649607131867649858392794298496824884681492403865328341414351953841578348481871679412126095542498690410789571197142838945289984829989257749316394781121959545807567935954300864944497508944619478469356993328122666084616126984514900760332270986438369599802200453961401018909977870216179932018778139989826569337239892239569365213216467813889923671309631154027011033011810841161082970318443213593668147433214926144905952961121719682621997898901983802286533995033064227982356627003728305650884629716150109797821597455574073191187423190125426527066941106502397835426881379913781922270418732816758734620408009409895531201016917862923724989050012879882937480181720046098960515592742582205571484120507514779057508089388005286990965290289026225306528182161694080739339758340694135031768648457224774787800441894217631844809344343191243154362474144356042532991119059254127629865863242626481996456165390377597846387082477805041034085880108418589026158779117895748154838423814408297725662724485233425903282993308468536977861325885766138290098722035695117793823453971733135525045995218272428607608479208999386770946362188155728145806554514638594818269038577517214830412328529945933740582177000121766482262677405718691304111243243796350775150306602648248591236691732798821694856296673847754289315762715962971741648411839997392232292104765086457757439452002296800597513876081071318601796798977512556211744717854561434159452323741851494793851531215871179146379491744442382866752311093291524991095907207094418984567135880930757779491054245674562107110967448371084910112825462707931749341814786205244034837927882053505960372577832372182647794992492632685359927693987299274951490002076603995291291358002909693500133923892339303308102209833690452869170581373330612339946887523499818252893687502028200768884188797093554201047034298875895261301969212023558035721735121518231608179958053162464540511291756644607383575627599811620791370830357851934669574998455153703033149368157611921678407088500384849013941950631811329113117961624296373823177396773841192047460891332536800434121148366605205430325919132208420781687581524721079229236427116063199902532326093160879515421416181502034789042673604249861924530817521369789573421061478313869778180526075155406432486941241046788177067734408489438475377256879500083630352326782855065230817078245830414621680641287674760881034258299837180068843175739634465394414167885308087766052972512250561004342038698372347739073877983514944992412318069645008719752426879936122505907399101818035454530292585881843334678963727812796100668203241030340557162984158904148907510943755854937650420319616959446090054503815884210047504746656158502302165465706748138188811685167843082382027646353513517256145764725979675869456213325270958444388533484734692489094576847644139528464379571907072228508961064705906844900315008526970741263746918079683267874153899602450375393902856643101645627821993189441041526970925091811618223529301246623561888370305022006307283657145129208501457035500312653834446724221921176021502690739996847772777884673951019462763380142777086439998859610723085287514701218144549516743450509690958558880152248668640026176845201872118528091802397872525967985613372116689324839567678251780927479471621593819146222691643622690511264650211545314620992948383524010791647565997112366346769933819294191694905210234925766730656137113916647533395589380810555856933308863996179199692122293296125163181347584587841096087297632576738892020738199422294681331759139571160668381867814405119646252141285892074212148049801196464857087833874064323591113183699465347699262898582030131204485013908130968199527436399794654813903658143401875498935639702232594074767704439362}
23355  74520162264385198492954692376254191485819006840646796899911054842325730106333: {910221,1283645,1329981,1540374,1983305,2168853,2287222,2379966,2682605,2823293,2867253,3219126,3267460,3381545,3920952,4057854,4122861,4246606,4262253,4362149,4411071,4667800,5098101,5251275,5601360,5793981,5900213,5974784,6037549,6066580,6173705,6204982,6301530,6721632,6739769,6870845,7045053,7186564,7279896,7408446,7561836,7884526,8189883,8245014,8264045,8625070,8864260,9394333,9916854,10266520,10350084,10371741,10510053,10637112,11103652,11339421,11520574,11549835,11966751,12044549,12319824,12443901,12867757,13343044,13409061,13578653,13859802,15018724,15787429,15862360,15898102,16238009,17149755,17283406,17284745,17576494,17845155,18293072,18382510,18609509,18764853,19030381,19034832,19448853,19496356,19592777,20268861,20373814,20416375,20579706,20615764,20741694,21414186,21455320,21497253,21633621,21835702,21963413,22059012,22082281,22116845,22384573,22553470,22580536,22582357,22859853,23348837,24084141,24137235,24499650,24519229,24690580,24763461,25403103,25746384,26046046,26120301,26132960,26540214,26797821,26931305,27064164,28151061,28377101,28464046,28964682,28989245,29166250,29352589,29399580,29621437,29628696,29636853,29744836,30359405,30658852,31043945,31193860,31359552,31729277,31841355,32260510,32317566,32755582,33332283,33674253,33778505,33964112,34054366,34210941,34563844,34787094,34888216,34999500,35027470,35279496,35825645,36290494,36431286,36458404,36920494,37022253,37252734,37332800,37370014,37432632,37719759,37906375,38057494,38209626,38712612,38890581,39249243,39644686,39689433,39910205,40467896,40534206,41020053,41817021,41880814,41927821,41932270,41999400,42032964,42111711,42954574,42990774,43010853,43024381,43798360,43805661,44077924,44467341,44514862,44659145,44734669,44765302,44799360,44904475,44996253,45487650,45526383,45788901,46448781,46525395,47249325,47635053,47785984,47892246,48103117,48161661,48169924,48388942,48520160,49273155,49376920,49515109,49627088,49669204,49739181,50133021,50318724,50399280,50739005,50969422,51412745,52558032,52617013,53006782,53330389,53590974,53759232,53802814,53885370,54035129,54198075,54282949,54585180,54711861,54776045,54842253,55387375,55493853,55549035,55830474,56003317,56008127,56118845,56125006,56699190,56923204,57477728,57639229,57723149,57811280,58056502,58224192,58279179,58615252,58737737,59118735,59127786,59252304,59520381,59870941,60479136,60886806,60987373,61263277,61331253,61695294,61847781,62061814,62480836,63059984,63448333,63592660,63737902,63906670,64145405,64149250,64662444,64940884,65037690,65195853,65266949,65292814,65502216,65731254,65966181,66443044,66464850,66658842,66773333,67322168,67342614,67632261,68039028,68102884,68139245,68240926,69127060,69373536,69379975,69843589,69904613,70032963,70187541,70472837,70735870,70895840,70942482,70952253,70954774,70981995,71287733,71419972,71461581,71766781,72574756,72692356,72782345,72813460,72987261,73333654,73689993,74105705,74113102,74766845,74889501,75714128,75737439,76186270,76311192,76461934,76688004,76974486,76979100,77417421,77547070,77933149,78045228,78357652,78551853,79049854,79282564,79307061,79757820,80011610,80178580,80295149,80929582,81191301,81279133,81567501,81767094,82046494,82111040,82649086,82937860,82952472,83255970,83372575,83445261,83754436,83848414,84055576,84494134,84502375,84694101,84834061,84865381,84883044,85075008,85178394,85317621,85850091,86065053,86079262,86370109,87308853,87338814,87376152,88806368,88926846,89720214,89789253,91039669,91040014,91050916,91178345,91326589,91375606,91423524,92129897,92149661,92374920,92753061,93056484,93321531,93601897,93614901,93705001,93767812,93851237,94433645,94440982,94562523,94563406,94928749,95123672,95709384,95825661,96013932,96214296,96331576,96560853,96626509,96734693,97172853,97662021,97906461,98298171,98444734,98512229,98533248,98764435,98975945,99005253,99016333,99021622,99114250,99525432,99907164,...,2448882752960043875062467617038139592094817812382337974410697801474787589191447745237327022238605797992512121527930762367522722807519118189143313748035616184356795714258417934977244983886623974592171682939318711351903931451297416746263416929217704035489992183999126924190476772351140498406479657554399703300680942101528364966805324269898028167209984739854005859838359354047819824701720834885506964446731040516549517716261741624455477664820390502221149822389217358929441682579523932996848352975703429800992549596341973534940505592458476326944574225164696732396183361109786781134785188139790600411659753596753140322069870672883405628099225138101930612014114843296801525376794385587483575019319824406220272580069148440773389113873308357226180761272168586262134082007930486447935433539337959792273242541121109009637511041202547652972685837162181700662841326447767214016514786864731543711216534063799486678588881191444798794863939722994684248085566396769580623716707561551128820162627883539238168676843622232257635721612446588494086727850138854924489962702805466791988828649207435148083053542676690735180957599703287568992827408642911412718813499080156419543282233592218709831771957892227403557866275822245618492794918900610873265500182649723394016108578036956166864865694526162725459903972372886855037599198232542284445010771631433973644073944457612472617759996088348438157147629686636159178003445200896270814121606977902695198466268834317617076781842151239178485612777242190777296823806768719569237616663574300128466639937287486643860810641628476850703821396136669236581368511843160666451172556627365169238194061897624012722179307866052256891823080258940558866748558273971692488738949028039891540980948912427235003114905992936937037004364540250200885838508954962153314750535679303755872059995918509920331285249727379340531253042301153326283195640331301570551448313842891952953818035337053582602682277347412269937079743696810766937634966911075363441399717431187056245536777902004362497682730554549724052236417882517610632750577273520912925947716993669676942436444560734766095160761788071191336998805200651181722549907808145488878698312631172531372287081618843854640674094799853798489139741319273132124272253052183564010406374792886796226282054684360131592217470804667270789112733109648730411861570182265601601612734157713065885319250125445528490174282597846225617368745621932520961931512141321551387449755770103264763609451698091621251827962131649079458768375841506513058047558521608610816975272417488618477104467513079628640319904183758861098652727053181795438878822765002018445591719194151002304861545510835744476238356223361266415633782406475630479425439169135081755723826315071257119984237753453248198560122207283217527751764623573041469530270275884218647088969513804184319987906437666582800227102038733641865271466209292696569357860608342763441597058860267350472512790456111895620377119524901811230849403675563090854284964652468441732989784161562290456387637717427335293951869935342832555457533009460925485717693812752185553250468980751670086332881764032254036109995271659166827010926529194145070214165629659998289416084627931272051827216824275115175764536437838320228373002960039265267802808177792137703596808788951978420058175033987259351517377671391219207432390728719334037465434035766896975317317971931489422575286016187471348995668549520154900728941287542357815352388650095984205670874971300093384071215833785399963295994268799538183439944187744772021376881761644130946448865108338031107299133442021997638709356741002572801721607679469378211928838111318222074701794697285631750811096485386669775549198021548894347873045196806727520862196452299291154599691982220855487215102813248403459553348891112151556659043}
23356  74785600385109664168604522434042258058811277873256545975786256250466799040896: {396763,536659,676483,1213628,1374523,1773308,2004746,2053832,2310561,2841746,2891804,3173288,3430833,3569949,3823004,3872563,4084325,4292168,4562323,4789706,4828689,4901190,5227936,5410472,5497148,5524963,5683004,5834750,5881428,5899658,5936443,6086781,6210403,6369909,6757459,6797468,7001700,7007306,7283858,7303363,7468480,7583225,7725308,8120059,8388626,8402040,8798659,8962176,8983205,9099870,9307473,9393404,9452295,9610603,9706528,9766346,9877928,10082448,10285243,10316426,10779846,10919844,10958083,10993352,11080325,11112669,11342754,11495059,11826789,12367521,12833150,12937605,12965803,13058186,13222472,13296390,13365403,13800112,13828988,13879565,14013404,14029963,14182816,14423666,14692723,14875281,14957323,15119228,15353683,15399780,15513458,15525126,15955668,16006438,16276003,16426432,16591868,16655478,16678805,16801459,17280861,17878748,18479736,18773405,19757969,19827950,19849586,19930003,20014566,20789703,21221323,22528086,22633459,22866340,23400043,23793540,23847153,24370445,24418123,24671923,24950858,25019804,25379776,25769705,25810459,25925109,25931804,26018186,26284658,26364741,26819150,27025148,27068659,27439608,27573765,27655592,27880466,28194883,28225670,28319659,28444363,28552248,28663004,28844828,29066803,29244534,29412016,29718598,30479804,30527189,30560721,30863225,30869559,30923646,31112541,31292683,32112188,32121279,32182980,32641459,32666200,32753553,33017948,33088518,33162386,33830205,33860059,33870804,34328512,34466659,34827068,35192203,35386952,35409409,35520458,35730428,36085552,36564746,36683933,36749475,36994723,37035870,37086026,37181045,37534748,38323565,38386706,38543803,38619576,38992325,39069069,39199440,39504928,39515804,39810321,40551163,40596246,40718858,41722243,41812736,42188659,42305083,42455140,42696069,43090088,43204805,43423702,43447023,43465363,43610270,43749375,44099370,44388403,44443044,44617254,44899004,45192283,45573005,45614588,45988278,46382792,46666000,46675843,46789459,46790790,46880906,47039328,47390666,47808763,48372523,48390765,48476349,48575048,49046659,49133373,49158763,49363004,49670312,49910176,50164459,50293012,50584870,50609563,50946168,51081549,51385723,51616816,51717283,51845766,51854108,52180641,52332324,52499250,52541205,52919244,53037043,53211506,54045608,54128923,54435741,54466826,54646929,54687606,54693404,54747950,55097405,55105459,55177486,55380741,55645459,55756028,55879101,55999200,56043952,56055021,56148948,56291083,56966666,57086241,57314439,57321032,57347804,57464906,58068918,58407548,58459658,58906897,58953283,59289788,59467029,59732480,59995004,60212405,60319843,60424459,60650200,60701844,60801309,61050643,61051868,61466659,61721150,61931708,62033860,62080502,62086505,62821221,62898405,62999100,63049446,63427003,63513404,63856328,64215548,64431861,64486161,64651723,64869386,64874513,65697540,66116886,66249862,66318908,66772293,66844028,67091632,67147953,67169923,67199040,67966243,68231475,68280458,68955163,69491858,70077376,70699658,71008459,71154005,71395963,71454632,71678976,71838369,71847160,72071323,72254886,72264100,72583413,72780240,72949148,73123004,73269065,73344146,73548629,73981483,73991804,74065380,74105669,74265523,74360059,74440632,74503806,74851621,75256466,75478086,75598920,75733106,76235659,76328683,76454133,76684658,77632256,77705572,78101045,78817226,78824980,78837048,79003072,79360508,79490825,79510173,79996946,80232458,80386461,80467826,80638848,80704221,80709163,80828055,81176105,81182408,81689659,81775004,81877770,82260392,82463708,83053805,83233213,83362723,83537323,83745711,84152710,84187509,84232843,84290129,85048785,85095763,85128605,85384806,86036659,86216592,86408825,86716920,86800003,86884459,86927804,87084753,87336288,87641672,87922878,87954908,88619800,88691679,88878456,89274965,89302363,89790152,90176348,90718445,90718704,90865445,90910346,91015459,91016825,91145509,91330209,91596146,91820059,92498048,92542941,92934403,93092443,93092721,93377284,93583388,93721254,94589976,94603004,94642660,94889203,95282108,95388990,95428483,95606853,95658523,95811523,95860005,96223875,96360458,96585746,96949843,96993666,97175563,97316348,97411326,97556535,97579846,97939221,97947065,98173558,98253324,98382866,98442403,98596881,99103205,99104659,99501386,99664566,99697275,99852668,99988263,...,3265177003946725166749956822717519456126423749843117299214263735299716785588596993649769362984807730656682828703907683156696963743358824252191084997380821579142394285677890579969659978515498632789562243919091615135871908601729888995017889238956938713986656245332169232253969029801520664541972876739199604400907922802037819955740432359864037556279979653138674479784479138730426432935627779847342619262308054022066023621682322165940636886427187336294866429852289811905922243439365243995797803967604573067990066128455964713254007456611301769259432300219595643194911148146382374846380250853054133882213004795670853762759827563844540837465633517469240816018819791062402033835725847449978100025759765874960363440092197921031185485164411142968241015029558115016178776010573981930580578052450613056364323388161478679516681388270063537296914449549575600883788435263689618688686382486308724948288712085065982238118508255259731726485252963992912330780755195692774164955610082068171760216837178052317558235791496309676847628816595451325448970466851806565986616937073955722651771532276580197444071390235587646907943466271050091990436544857215216958417998773541892724376311456291613109029277189636538077155034429660824657059891867481164354000243532964525354811437382608222486487592701550300613205296497182473383465597643389712593347695508578631525431925943483296823679994784464584209530172915514878904004593601195027752162142637203593597955025112423489435709122868318904647483702989587703062431742358292758983488884765733504622186583049982191814414188837969134271761861515558982108491349124214221934896742169820225650925415863498683629572410488069675855764107011920745155664744365295589984985265370719855387974598549902980004153207990582582716005819387000267847784678606616204419667380905738341162746661224679893775046999636505787375004056401537768377594187108402094068597751790522603938424047116071443470243036463216359916106324929081022583513289214767151255199623241582741660715703869339149996910307406066298736315223843356814177000769698027883901263622658226235923248592747646354793547682384094921782665073600868242296733210410860651838264416841563375163049442158458472854232126399805064652186321759030842832363004069578085347208499723849061635042739579146842122956627739556361052150310812864973882482093576354135468816978876950754513759000167260704653565710130461634156491660829243361282575349521762068516599674360137686351479268930788828335770616175532105945024501122008684077396744695478147755967029889984824636139290017439504853759872245011814798203636070909060585171763686669357927455625592201336406482060681114325968317808297815021887511709875300840639233918892180109007631768420095009493312317004604330931413496276377623370335686164764055292707027034512291529451959351738912426650541916888777066969469384978189153695288279056928759143814144457017922129411813689800630017053941482527493836159366535748307799204900750787805713286203291255643986378882083053941850183623236447058602493247123776740610044012614567314290258417002914071000625307668893448443842352043005381479993695545555769347902038925526760285554172879997719221446170575029402436289099033486901019381917117760304497337280052353690403744237056183604795745051935971226744233378649679135356503561854958943243187638292445383287245381022529300423090629241985896767048021583295131994224732693539867638588383389810420469851533461312274227833295066791178761621111713866617727992358399384244586592250326362695169175682192174595265153477784041476398844589362663518279142321336763735628810239292504282571784148424296099602392929714175667748128647182226367398930695398525797164060262408970027816261936399054872799589309627807316286803750997871279404465188149535408878724}
23357  75051977799108699366796389574138134430567582386445242375123018668763073857169: {23357,1517035,1797103,1820442,2216635,2567290,2659962,2776627,3007119,3080748,3336619,3614755,3755647,3966610,4262619,4337706,4574444,4734163,4759932,4778755,4875343,5155267,5365210,5646586,5734506,6438252,6534920,6763090,6871435,6972979,7103755,7184559,7351785,7532683,7841904,8115708,8245722,8493212,8496835,8524506,8643187,8724298,8752125,8822142,8849487,9335600,9619183,9656635,10196202,10502550,10510959,10925787,11202720,11492323,11569663,11587962,11741755,11800426,11949568,12075098,12133160,12331519,12347410,12409964,12582939,12603060,13443264,13479538,13579819,13649805,13741690,14090106,14234467,14373128,14559792,14649519,14816892,15123672,15474639,15769052,16047499,16169769,16379766,16490028,16528090,17014131,17030107,17156623,17250140,17286235,17516755,17728520,18148363,18611107,18788666,18899035,19249725,19587279,19825747,19833708,19944585,20533040,20700168,20739835,20743482,20798863,20944003,21020106,21274224,21635499,21965299,22207304,22348435,22678842,23034799,23041148,23099670,23270187,23287689,23933502,24009657,24089098,24140323,24198643,24639648,24887802,24983217,24991243,25735514,26095759,26686088,26818122,27157306,27719604,28085683,28582925,29741925,29774379,30021849,30037448,30963583,31274755,31574858,31724720,31796204,32414755,32476018,33781435,33792129,33917503,34299510,34566812,34569490,34975963,35152988,35178763,35314243,35690310,35828755,36056035,36586144,36765020,37219018,37426287,37529706,37703827,38019883,38060762,38069664,38099755,38897706,38992712,39027279,39185554,39426987,39813259,40047403,40140235,40228725,40537722,40584943,40747628,40832750,41159412,41231528,41272435,41483388,41820699,42338505,42503167,42828372,42910640,42994506,43267242,43461523,43533835,43671404,43866801,43926826,44098219,44118024,44164562,44233690,44386159,44577897,44619067,44663035,44769146,44839363,45106940,45161072,45164714,45615823,45719706,46385469,46697674,46918435,47289907,48168282,48274470,48999300,49038458,49381160,49394755,49526922,49632777,49743579,50155903,50806206,51492768,51686443,52092092,52240602,52265920,53068925,53080428,53280687,53595642,53862610,54039787,54128328,54823963,54847119,55553805,55629039,55874287,56123755,56302122,56754202,56928092,57018235,57161647,57580059,57929364,57978490,58231723,58332500,58705178,58799160,59242874,59257392,59273706,59489672,59526163,60392203,60718810,60894369,61078287,61317704,61703755,62087890,62387720,62522803,62719104,62866265,63458554,63682710,64475023,64521020,64635132,64817635,65135553,65312059,65415405,65511164,65648059,65788147,66149055,66664566,66925881,67348506,67557010,67928224,68031883,68108732,68134147,68218267,68366755,68421882,68982417,69127688,69574188,69695035,69776432,69910639,69999000,70054940,70186185,70321359,70558992,71034607,71085999,71260243,71651290,71684755,71795119,71977843,72580988,72862572,72916808,73009435,73093747,73840988,74044506,74112235,74299819,74505468,74665600,74740028,74865264,74993755,75439518,75812750,75877305,76114988,76314835,76419252,76686463,77133667,77414635,77425224,77505907,77542325,77768649,77781162,77802703,78498486,78566383,78748875,78763759,78913939,79289372,79378866,79391755,79817259,79820410,80269435,80302123,80935792,81068412,81700239,82031409,82040106,82121925,82766229,82898635,83555035,83634042,83761628,83855642,83864540,83998800,84065928,84223422,84249139,84755323,85449283,85449999,85909148,85981548,86021706,86048762,86197359,87103377,87596720,87611322,87636547,87689487,88125403,88155848,88934682,88984447,89029724,89281819,89318290,89469338,89530604,89598720,89803567,89808950,89992506,90330125,90608527,90975300,91052766,91186435,91403755,91577802,92489755,92581725,92897562,93050790,93120753,93474859,94258219,94498650,94574169,94636603,94894267,95270106,95394943,95571968,95784492,96206234,96323322,96339848,96743119,96777884,97040320,97131965,97297903,97304079,98483683,98531225,98546310,98753840,99030218,99175329,99200635,99254176,99338408,99374793,99478362,...,4897765505920087750124935234076279184189635624764675948821395602949575178382895490474654044477211595985024243055861524735045445615038236378286627496071232368713591428516835869954489967773247949184343365878637422703807862902594833492526833858435408070979984367998253848380953544702280996812959315108799406601361884203056729933610648539796056334419969479708011719676718708095639649403441669771013928893462081033099035432523483248910955329640781004442299644778434717858883365159047865993696705951406859601985099192683947069881011184916952653889148450329393464792366722219573562269570376279581200823319507193506280644139741345766811256198450276203861224028229686593603050753588771174967150038639648812440545160138296881546778227746616714452361522544337172524268164015860972895870867078675919584546485082242218019275022082405095305945371674324363401325682652895534428033029573729463087422433068127598973357177762382889597589727879445989368496171132793539161247433415123102257640325255767078476337353687244464515271443224893176988173455700277709848979925405610933583977657298414870296166107085353381470361915199406575137985654817285822825437626998160312839086564467184437419663543915784454807115732551644491236985589837801221746531000365299446788032217156073912333729731389052325450919807944745773710075198396465084568890021543262867947288147888915224945235519992176696876314295259373272318356006890401792541628243213955805390396932537668635234153563684302478356971225554484381554593647613537439138475233327148600256933279874574973287721621283256953701407642792273338473162737023686321332902345113254730338476388123795248025444358615732104513783646160517881117733497116547943384977477898056079783081961897824854470006229811985873874074008729080500401771677017909924306629501071358607511744119991837019840662570499454758681062506084602306652566391280662603141102896627685783905907636070674107165205364554694824539874159487393621533875269933822150726882799434862374112491073555804008724995365461109099448104472835765035221265501154547041825851895433987339353884872889121469532190321523576142382673997610401302363445099815616290977757396625262345062744574163237687709281348189599707596978279482638546264248544506104367128020812749585773592452564109368720263184434941609334541578225466219297460823723140364531203203225468315426131770638500250891056980348565195692451234737491243865041923863024282643102774899511540206529527218903396183242503655924263298158917536751683013026116095117043217221633950544834977236954208935026159257280639808367517722197305454106363590877757645530004036891183438388302004609723091021671488952476712446722532831267564812951260958850878338270163511447652630142514239968475506906496397120244414566435055503529247146082939060540551768437294177939027608368639975812875333165600454204077467283730542932418585393138715721216685526883194117720534700945025580912223791240754239049803622461698807351126181708569929304936883465979568323124580912775275434854670587903739870685665110915066018921850971435387625504371106500937961503340172665763528064508072219990543318333654021853058388290140428331259319996578832169255862544103654433648550230351529072875676640456746005920078530535605616355584275407193617577903956840116350067974518703034755342782438414864781457438668074930868071533793950634635943862978845150572032374942697991337099040309801457882575084715630704777300191968411341749942600186768142431667570799926591988537599076366879888375489544042753763523288261892897730216676062214598266884043995277418713482005145603443215358938756423857676222636444149403589394571263501622192970773339551098396043097788695746090393613455041724392904598582309199383964441710974430205626496806919106697782224303113318086}
23358  75319297808442291783212974245444595067827823652172780522457343986747590300102: {443441,723137,793526,862877,1073318,1095617,1352966,1421117,1560497,1839041,2070941,2427256,2487857,2730663,2749046,3042737,3458141,3546616,3642557,3850935,3989943,4009492,4107664,4424897,4608641,4621122,5250737,5571197,5683492,5718055,5783608,5949915,6256577,6346576,6393437,6506559,6861666,7139898,7303997,7621937,7646008,7745126,7758077,7984817,8047815,8168650,8469879,8584336,8601759,9115517,9124646,9579412,9656477,9657378,9802380,10144635,10455872,10465757,10616515,10820944,10994296,11049926,11138177,11366008,11406641,11669500,11762856,11799316,11872886,12173562,12343997,12368583,12420806,12477617,12576487,12739818,12786759,13011377,13086447,13233213,13514918,13594936,13809857,14003400,14014612,14031197,14075441,14340737,14561597,14567716,14606726,14936960,14958641,15002717,15166450,15294303,15450616,15512455,15753825,16240118,16277441,16715441,16777252,16804080,17381943,17597318,17700639,17763377,17924352,17966410,18112647,18199740,18242141,18521115,18614946,18633137,18786808,18904590,19221206,19283357,19413056,19431391,19532692,19711315,19715837,19755856,20164896,20219307,20449217,20570486,20612535,20632852,21135159,21559692,21562675,21652097,21839688,21866237,21916166,21986704,22160650,22165697,22225338,22550141,22685508,22990118,23350327,23444657,23653578,24208577,24569649,24735042,24792135,25096541,25666300,25875210,25931606,26116372,26282767,26316977,26444944,26592780,26610557,26730806,27196541,27600224,27614141,27657976,27759130,28026808,28059926,28182999,28239041,28365632,28488497,28801435,28820657,28847332,29069441,29110877,29235137,29385446,29750562,29914646,29937917,30061697,30238456,30350237,30707366,30799560,31026916,31050252,31115223,31336541,31530159,31705217,31911336,32012876,32522177,32552006,32766641,32852864,33183736,33310956,33357610,33602918,33984641,34018263,34118623,34227377,34561722,34649505,34832957,34953857,35195441,35235677,35757496,35900253,35958557,36077587,36133647,36758717,36959472,36998141,37331703,37546810,37635197,37754417,37992641,38586941,38603271,38824157,39515938,39655900,39699172,39745255,39860006,40029132,40123697,40202177,40227183,40319837,40735959,41579406,41765057,42309041,42442646,42928817,43044797,43208515,43353739,43469441,43941235,44277437,44430941,44852417,45056172,45234737,45266918,45349277,45732680,45956275,46149041,46800086,47247677,47362287,47511857,47587080,47694306,47850941,48377117,48714027,48740890,48836246,49163441,49200797,49312817,49343846,49499357,49871837,49901716,50039608,50280641,50503217,50759552,50934535,50984477,51390641,51449265,51539410,51620918,51850218,51854235,51863608,52036372,52053463,52569316,52729482,53042141,53078657,53535465,53638300,53652991,54050296,54134141,54137318,54589255,54879216,55147530,55311184,55363037,55760932,55828527,56117441,56294559,56332337,56383675,56389766,56451340,56639318,56888726,57091143,57104496,57326008,57689656,58133606,58218077,58346559,58465457,58489068,58778331,58824032,58959041,59437196,59626397,59801537,60486727,60534941,60806583,60959608,61054378,61056641,61091357,61121442,61249125,61264817,61726450,61739118,61847292,62129117,62225082,62585366,62610941,62954141,63802207,64183037,64224376,64242558,64365960,64491759,64658141,64900863,64996541,65115115,65282918,65332400,65367857,65468957,65507106,65890239,66035896,66177036,66246843,66308657,66324772,66350535,66676541,66976817,67153719,67209917,67660410,67720118,67741608,67747071,68579559,68657024,68933318,68962097,68994941,69355697,69654136,69780797,70046511,70139441,70384406,70432157,70773904,70818818,70821437,71040916,71160115,71241857,71460856,71628737,72078641,72171104,72252423,72270977,72367037,72411705,72686717,72915625,73129492,73367866,73498950,73557687,73704317,73989446,74071740,74172052,74290383,74362090,75069496,75121457,75590237,75714941,76057217,76150397,76209309,76336541,76367537,76647130,76669879,76773412,76924097,77087606,77136367,77239152,77984650,78138138,78182141,78304157,78360903,78398880,78821297,78942641,79009856,79031608,79366337,79547441,79620642,80119037,80393463,80478557,80651275,80717597,80747441,80793915,81102326,81192492,81437716,81520577,81786941,81888955,82347137,82670141,82787357,82823983,83444486,83625472,84010397,84097217,84297367,84377318,84453183,84610166,84910280,85131303,85133441,85135915,85392138,85733117,86180176,86409610,86837441,86847404,86894046,86921107,86930726,86967735,87090557,87220540,87399041,87498750,87568675,87579427,87985277,88057767,88198740,88776806,88864311,88886088,88910559,89234508,89311997,89798008,90131837,90384566,90701441,90726235,90863537,91078215,91146010,91213757,91229176,91616177,91976556,92301235,92468657,92765584,93128957,93131835,93207857,93332000,93351686,93425035,93578918,93581580,93732017,93761812,93992897,94078656,94278941,94538141,94770737,94781332,94822337,94899677,95143735,95187831,95208317,95464637,95524065,95617526,95669117,95822141,96734237,96745046,96781530,96809777,96952698,96960641,97150096,97211441,97436477,97586141,97934237,98093318,98266746,98305457,98317526,98453441,98478077,98601137,98726008,99066941,99111715,99340624,99615607,99820352,99996849,...,7346648258880131625187402851114418776284453437147013923232093404424362767574343235711981066715817393977536364583792287102568168422557354567429941244106848553070387142775253804931734951659871923776515048817956134055711794353892250238790250787653112106469976551997380772571430317053421495219438972663199109902042826304585094900415972809694084501629954219562017579515078062143459474105162504656520893340193121549648553148785224873366432994461171506663449467167652076788325047738571798990545058927110289402977648789025920604821516777375428980833722675494090197188550083329360343404355564419371801234979260790259420966209612018650216884297675414305791836042344529890404576130383156762450725057959473218660817740207445322320167341619925071678542283816505758786402246023791459343806300618013879376819727623363327028912533123607642958918057511486545101988523979343301642049544360594194631133649602191398460035766643574334396384591819168984052744256699190308741871150122684653386460487883650617714506030530866696772907164837339765482260183550416564773469888108416400375966485947622305444249160628030072205542872799109862706978482225928734238156440497240469258629846700776656129495315873676682210673598827466736855478384756701832619796500547949170182048325734110868500594597083578488176379711917118660565112797594697626853335032314894301920932221833372837417853279988265045314471442889059908477534010335602688812442364820933708085595398806502952851230345526453717535456838331726572331890471420306158707712849990722900385399919811862459931582431924885430552111464188410007709744105535529481999353517669882095507714582185692872038166537923598156770675469240776821676600245674821915077466216847084119674622942846737281705009344717978810811111013093620750602657515526864886459944251607037911267616179987755529760993855749182138021593759126903459978849586920993904711654344941528675858861454106011160747808046832042236809811239231090432300812904900733226090324199152293561168736610333706013087493048191663649172156709253647552831898251731820562738777843150981009030827309333682204298285482285364213574010996415601953545167649723424436466636094937893517594116861244856531563922022284399561395467419223957819396372816759156550692031219124378660388678846164053080394776652412414001812367338199328946191235584710546796804804838202473139197655957750376336585470522847793538676852106236865797562885794536423964654162349267310309794290828355094274863755483886394947238376305127524519539174142675564825832450925817252465855431313402539238885920959712551276583295958181159545386316636468295006055336775157582453006914584636532507233428715068670083799246901347219426891438276317507405245267171478945213771359952713260359744595680366621849652583255293870719124408590810827652655941266908541412552959963719312999748400681306116200925595814398627878089708073581825028290324791176580802051417538371368335686861131358574705433692548211026689272562854893957405325198969352484686871369162913152282005881855609806028497666372599028382776457153081438256556659751406942255010258998645292096762108329985814977500481032779587582435210642496888979994868248253883793816155481650472825345527293609313514960685119008880117795803408424533376413110790426366855935260174525101961778054552133014173657622297172186158002112396302107300690925951953915794468267725858048562414046987005648560464702186823862627073446057165950287952617012624913900280152213647501356199889887982806398614550319832563234316064130645284932392839346595325014093321897400326065992916128070223007718405164823038408134635786514333954666224105384091856895252433289456160009326647594064646683043619135590420182562586589356897873463799075946662566461645308439745210378660046673336454669977129}
23359  75587563726702625873411693922660701248226677237187595679108579850559757820577: {46714,1190289,1609977,2029449,2123849,3034070,3103289,3594206,3640884,3943277,4123569,4433270,5011865,5060657,5134580,5319924,5553254,5761769,6014238,6161496,6673238,6690257,6931683,7104365,7229510,7511294,7933220,8418881,8525238,8675412,9148888,9468326,9487577,9519864,9557510,9620009,9750686,9945257,10292499,10310534,10709847,10730420,11293172,11469012,11617689,11895569,11974265,12252975,12284897,12844361,12876504,13069840,13519289,13526180,13686969,13742870,13945958,14207510,14369118,14486067,14586875,14703570,14749145,15065366,15683808,16048877,16231416,16438457,16491444,16574889,16986424,16993670,17049012,17286374,17448596,17504250,17518265,17644284,17698974,17809329,18209645,18260343,18631209,18671200,19033649,19109727,19238366,19313270,20220761,20272377,20276009,20392404,20800649,20971565,21005100,21021918,21851574,21910089,22388417,22405440,22749675,22984646,23036777,23139326,23175924,23483510,23600852,23899136,24150196,24200729,24266320,24360177,24415865,24523457,24663038,24694820,24808817,24819928,24993389,25165878,25206120,25791065,26395977,26458649,26714777,26886528,26949615,26959076,26980361,27159638,27299610,27483380,27922419,28180212,28356885,28468934,28746256,28831809,28876829,29035769,29119584,29299038,29633784,30247344,30855729,30949278,31287809,31389881,31538104,32082875,32094998,32339538,32645465,32759532,32874249,32980056,33056180,33240975,33338007,34028262,34060214,34313246,34485177,34500280,34572470,35033510,35457040,35480367,35486561,35857529,36059165,36296726,37036889,37102563,37222214,37577332,37798070,38499450,38530217,38783645,38812815,38897409,39174558,39317441,39651494,39667416,39889170,40016095,40096209,41066080,41162861,41335229,41400336,41479670,41486964,41597726,41638695,41888006,42040212,42089889,42548448,42559001,43270998,43784657,43930598,44078169,44414608,44625843,44696870,44871969,44932589,45357684,45380657,45630509,46061049,46069598,46082296,46125497,46199340,46540374,46575378,47026649,47294009,47328749,47867004,48019314,48178196,48280646,48397286,48828009,49279296,49569875,49623965,49775604,49868369,49966434,49982486,50036415,50160257,50404377,50478449,51471028,51842583,52116077,52191518,53268041,53339657,53372176,53636244,53909609,54314612,54828689,55439208,56171366,56196329,56320215,57165850,57767201,57781409,58230089,59273907,59483850,59548758,59790009,60043698,60074896,60397409,60947369,61080377,61273841,61927166,62369109,62377145,62528249,62549510,63149716,63449440,63592408,63663969,63870497,64829510,64952036,65045465,65685809,65711645,66529241,66660617,67047875,67562870,67584258,67793489,67835006,67900377,68599020,68819309,69133624,69138980,69152657,69379049,69701165,69951926,70200129,70297337,70305976,70357526,70564175,70628486,71380620,71541459,71657510,72112070,72723737,73111335,73172288,73254369,73527929,73530040,74015769,74160809,74296495,74438036,74852574,75059412,75407654,76039766,76121524,76139328,76149929,76199510,77309115,77431377,77775327,77795412,77809457,77985424,78054558,78292769,78371108,78573257,78853974,79094223,79626518,79643801,79825529,80094806,80280470,80457450,81075444,81169886,81205977,81495256,81665500,82318824,82463056,82544870,82721295,82905965,82966776,82970897,83641398,83804897,84584649,84677010,84848777,84958977,85006334,85301777,85333089,85456649,85656744,85821280,85989012,86385257,86534484,86624249,86875577,86923046,87067670,87200409,87342808,87733602,87808877,87853652,88012771,88196438,88236048,88329124,88467380,88772318,88801145,88889729,89155794,89238134,89326070,89538292,89678726,90213880,90322144,90329428,90744689,91231646,91342337,91411865,91439412,91581567,91682163,91948649,92589675,92608677,92715065,92770938,93337623,93395348,93836870,93878049,94203017,94579814,94902509,95713457,95966765,96336564,96363837,96548940,97036829,97251449,97573049,97924377,97946729,97998600,98076916,98260659,98762320,98789510,99053844,99265554,99487158,99921401,...,9795531011840175500249870468152558368379271249529351897642791205899150356765790980949308088954423191970048486111723049470090891230076472756573254992142464737427182857033671739908979935546495898368686731757274845407615725805189666985053667716870816141959968735996507696761907089404561993625918630217598813202723768406113459867221297079592112668839938959416023439353437416191279298806883339542027857786924162066198070865046966497821910659281562008884599289556869435717766730318095731987393411902813719203970198385367894139762022369833905307778296900658786929584733444439147124539140752559162401646639014387012561288279482691533622512396900552407722448056459373187206101507177542349934300077279297624881090320276593763093556455493233428904723045088674345048536328031721945791741734157351839169092970164484436038550044164810190611890743348648726802651365305791068856066059147458926174844866136255197946714355524765779195179455758891978736992342265587078322494866830246204515280650511534156952674707374488929030542886449786353976346911400555419697959850811221867167955314596829740592332214170706762940723830398813150275971309634571645650875253996320625678173128934368874839327087831568909614231465103288982473971179675602443493062000730598893576064434312147824667459462778104650901839615889491547420150396792930169137780043086525735894576295777830449890471039984353393752628590518746544636712013780803585083256486427911610780793865075337270468307127368604956713942451108968763109187295227074878276950466654297200513866559749149946575443242566513907402815285584546676946325474047372642665804690226509460676952776247590496050888717231464209027567292321035762235466994233095886769954955796112159566163923795649708940012459623971747748148017458161000803543354035819848613259002142717215023488239983674039681325140998909517362125012169204613305132782561325206282205793255371567811815272141348214330410729109389649079748318974787243067750539867644301453765598869724748224982147111608017449990730922218198896208945671530070442531002309094083651703790867974678707769745778242939064380643047152284765347995220802604726890199631232581955514793250524690125489148326475375418562696379199415193956558965277092528497089012208734256041625499171547184905128218737440526368869883218669083156450932438594921647446280729062406406450936630852263541277000501782113960697130391384902469474982487730083847726048565286205549799023080413059054437806792366485007311848526596317835073503366026052232190234086434443267901089669954473908417870052318514561279616735035444394610908212727181755515291060008073782366876776604009219446182043342977904953424893445065662535129625902521917701756676540327022895305260285028479936951013812992794240488829132870111007058494292165878121081103536874588355878055216737279951625750666331200908408154934567461085864837170786277431442433371053766388235441069401890051161824447582481508478099607244923397614702252363417139858609873766931959136646249161825550550869709341175807479741371330221830132037843701942870775251008742213001875923006680345331527056129016144439981086636667308043706116776580280856662518639993157664338511725088207308867297100460703058145751353280913492011840157061071211232711168550814387235155807913680232700135949037406069510685564876829729562914877336149861736143067587901269271887725957690301144064749885395982674198080619602915765150169431261409554600383936822683499885200373536284863335141599853183977075198152733759776750979088085507527046576523785795460433352124429196533768087990554837426964010291206886430717877512847715352445272888298807178789142527003244385941546679102196792086195577391492180787226910083448785809197164618398767928883421948860411252993613838213395564448606226636172}
23360  75856778879054093915066218498135884950508971256227193407083975994208602864773: {70071,886882,1446274,1560631,1587052,1725754,2146636,2191234,2534359,2705932,2842234,3120994,3504559,3642871,3678082,3781111,4141882,4471231,4551105,4854512,4975714,5296999,5391309,5461326,5498092,6085474,6418225,6649905,6916282,7077271,7093232,7285114,7622599,7701870,7979886,8005277,8018984,8030839,8215328,8329881,8438431,8849794,9021357,9116311,9217282,9242244,9916525,10009857,10062319,10501474,10844265,11142394,11266941,11366984,11407639,11436110,11567216,11899830,12513154,12693152,12786874,12787857,13013118,13145791,13413025,13723332,14076679,14116465,14202489,14279796,14336265,14607031,14607994,14626029,14863121,15004039,15243874,15292016,15465801,15490252,15516154,15664279,15969634,16059559,16095630,16337300,16716919,16907725,16939758,17168672,17203518,17764951,18231034,18249292,18287239,18678199,19158824,19312954,19314756,19328359,19604760,19717591,20289270,20364871,20614305,20623279,20911744,20918937,20931514,21233030,21311265,21553677,21641888,21717437,21810745,21988592,22055355,22099852,22167679,22276354,22598049,22732016,22813282,23339000,23525712,23598632,23745772,23829079,24210751,24347124,24687994,24737166,24841612,24955234,25152974,25479636,25490505,25573518,25929561,25983319,26022754,26172894,26256375,26466426,26548461,26612959,26864311,27029836,27189872,27240799,27366151,27595841,27616639,27619714,28006800,28029224,28062394,28150882,28615711,28681474,28857549,28969905,29113519,29123194,29135432,29213452,29501065,29873920,29917282,30005434,30187745,30332900,30588606,30723439,30868525,30901232,31024910,31048237,31216351,31507650,31532877,32480236,32554882,32565919,32777361,33430882,33554504,33608160,33663631,33698845,34354225,34476969,34708989,34763886,34997359,35194636,35225265,35238919,35401278,35526754,35848704,35932820,36225294,36399480,36484282,36802039,36994557,37042230,37229892,37266274,37573616,37748817,37757911,37809180,37996159,38442412,38471791,38566714,38826112,38827759,38862782,39065384,39419599,39422630,39431674,39511712,40009639,40127431,40245151,40322009,40329792,40362799,40438614,40739457,40898434,40949415,41140972,41225070,41265704,41320225,42270318,42703401,43119384,43125350,43304194,43679376,43732474,43832332,43948557,43973408,44319991,44321300,44331394,44450676,44894911,45100282,45371016,45980236,46423917,46608871,46700654,46889314,46949719,46971665,47289919,47307156,47971297,48142497,48306631,48417154,48509307,49139298,49205479,49317511,49470084,49584270,49876591,50193082,51042393,51090321,51236237,51332600,51469869,51653551,51750420,51858705,51863212,52205071,52232744,52550265,52565534,52633954,52889888,53083759,53185560,53221114,53461612,54284431,54393082,54445089,55200448,55228282,55315952,55518260,55643357,55833321,56053616,56119852,56122879,56365998,56478082,56659639,56697105,56731264,56976994,56980831,57514711,57602870,57641314,57694664,57749175,58138882,58221754,58470274,58471159,58761837,58770892,59477241,59501124,59632231,59829292,59833755,59875834,60123394,60222745,60261871,60476912,60491921,60575719,60700474,61097359,61409479,61414732,61517729,61599120,61720951,62053832,62100504,62219505,62230446,62396589,62673082,62832009,63060318,63410434,63822672,64025752,64291351,64338785,64800031,64906497,65044354,65104012,65408071,65509159,65533282,65705728,65711119,65895897,66367472,66415711,66621912,66715220,66716599,67045305,67205836,67893265,67969282,68036526,68237246,68409391,68454754,69001879,69104397,69123444,69299010,69493639,69665914,69787831,69810561,69863067,69907714,70179079,70276711,70390882,70471354,70471759,70860991,71249071,71308349,71514992,71800506,71829031,71917114,72028971,72155174,72267294,72310351,72420969,72595929,73517434,73918944,73996282,74663406,74949651,74973729,75093620,75160471,75270394,75508834,75535591,75722719,75985282,76189279,76375399,76424957,76561231,77173882,77206542,77648314,77853991,78220759,78287277,78859831,78937145,79031876,79132639,79311800,79398344,79404799,79490510,79720012,79766671,80058264,80127391,80247394,80404354,80454366,80639674,80755879,81190045,81471918,81558751,83158812,83530114,84019279,84106111,84257049,84618082,84885292,85748775,85827631,85857634,86089594,86338471,86417030,86423725,86707478,86938882,87882470,88022551,88554874,88861882,89225775,89323137,89704834,90065547,90112344,90469474,90494671,90533836,90575959,90609857,90698554,90900391,91161161,91465360,91706431,91912550,92298082,92567981,92584759,92890749,93047545,93218071,93600172,93824265,94159399,94495354,94724574,94781191,94858591,95023714,95151905,95174160,95388612,95701882,96315511,96754234,97244265,97372399,97428054,97447351,97481780,97597039,97672492,97882889,97963885,97969999,98326882,98401594,98489119,98625634,98687692,98998714,99078079,99624161,99735151,99743674,99803432,...,14693296517760263250374805702228837552568906874294027846464186808848725535148686471423962133431634787955072729167584574205136336845114709134859882488213697106140774285550507609863469903319743847553030097635912268111423588707784500477580501575306224212939953103994761545142860634106842990438877945326398219804085652609170189800831945619388169003259908439124035159030156124286918948210325009313041786680386243099297106297570449746732865988922343013326898934335304153576650095477143597981090117854220578805955297578051841209643033554750857961667445350988180394377100166658720686808711128838743602469958521580518841932419224037300433768595350828611583672084689059780809152260766313524901450115918946437321635480414890644640334683239850143357084567633011517572804492047582918687612601236027758753639455246726654057825066247215285917836115022973090203977047958686603284099088721188389262267299204382796920071533287148668792769183638337968105488513398380617483742300245369306772920975767301235429012061061733393545814329674679530964520367100833129546939776216832800751932971895244610888498321256060144411085745598219725413956964451857468476312880994480938517259693401553312258990631747353364421347197654933473710956769513403665239593001095898340364096651468221737001189194167156976352759423834237321130225595189395253706670064629788603841864443666745674835706559976530090628942885778119816955068020671205377624884729641867416171190797613005905702460691052907435070913676663453144663780942840612317415425699981445800770799839623724919863164863849770861104222928376820015419488211071058963998707035339764191015429164371385744076333075847196313541350938481553643353200491349643830154932433694168239349245885693474563410018689435957621622222026187241501205315031053729772919888503214075822535232359975511059521987711498364276043187518253806919957699173841987809423308689883057351717722908212022321495616093664084473619622478462180864601625809801466452180648398304587122337473220667412026174986096383327298344313418507295105663796503463641125477555686301962018061654618667364408596570964570728427148021992831203907090335299446848872933272189875787035188233722489713063127844044568799122790934838447915638792745633518313101384062438248757320777357692328106160789553304824828003624734676398657892382471169421093593609609676404946278395311915500752673170941045695587077353704212473731595125771589072847929308324698534620619588581656710188549727510967772789894476752610255049039078348285351129651664901851634504931710862626805078477771841919425102553166591916362319090772633272936590012110673550315164906013829169273065014466857430137340167598493802694438853782876552635014810490534342957890427542719905426520719489191360733243699305166510587741438248817181621655305311882533817082825105919927438625999496801362612232401851191628797255756179416147163650056580649582353161604102835076742736671373722262717149410867385096422053378545125709787914810650397938704969373742738325826304564011763711219612056995332745198056765552914306162876513113319502813884510020517997290584193524216659971629955000962065559175164870421284993777959989736496507767587632310963300945650691054587218627029921370238017760235591606816849066752826221580852733711870520349050203923556109104266028347315244594344372316004224792604214601381851903907831588936535451716097124828093974011297120929404373647725254146892114331900575905234025249827800560304427295002712399779775965612797229100639665126468632128261290569864785678693190650028186643794800652131985832256140446015436810329646076816269271573028667909332448210768183713790504866578912320018653295188129293366087238271180840365125173178713795746927598151893325132923290616879490420757320093346672909339954258}
23361  76126946602273444977359850302017888146195740984590078069717893777821014266198: {93428,1330323,1983815,2169411,2380578,2588631,2683295,2824019,3219954,3286851,3382415,4058898,4247698,4263351,4363271,4681491,5517123,5901731,6068140,6206578,6212823,6741503,6872615,7016611,7188412,7281768,7439399,7463571,7886554,8191989,8247138,8866540,9118511,9128211,9946111,10023730,10121314,10269160,10374423,10639848,10927671,11106508,11212591,11523538,11552805,11969829,12028476,12322992,13274691,13346476,13380514,13582151,13730179,13825923,13863366,14208730,14459020,15022588,15115859,15752211,15866440,16713591,16763971,16837762,17050476,17154165,17350824,17849745,18180899,18297776,18614303,18769731,18936652,18975154,19039728,19115020,19180311,19240018,19362815,19501372,19519677,19890514,20421625,20584998,20621068,20648803,20985191,21419694,21460840,21911991,21969071,22586344,22811615,22865811,22938024,23235378,23274231,23791138,23897263,23948530,23954451,24143445,24505950,24525571,24569794,25177571,25409637,25493503,25688722,25753008,25805277,26139680,26717071,27038578,27052360,27346551,27373938,27485740,27624815,27692999,27891916,28415020,28738236,28969431,28972134,29173750,29319511,29360191,29407140,29498290,29682215,30130732,30433905,31052015,31367616,31397271,31589603,31849545,32097754,32274103,32462832,32876914,32982888,33149778,33414531,33787295,33972848,33987340,34098024,34182211,34219923,34572748,34897192,35008500,35036530,35288568,35397948,35618658,35779823,36107491,36419290,36516815,36520686,37031991,37105749,37262418,37342400,37432851,37729461,37916125,38026439,38067298,38219454,38360277,38476732,38626540,39034131,39131999,39259341,39699639,40441522,40544754,40552018,40600295,40784808,41429571,41601298,41938663,41943130,42010200,42043836,42093591,42226323,43022211,43684791,43703148,43820178,43993295,44001679,44776834,44810880,44875923,44916025,45008151,45499350,45535711,45703651,45882909,45969292,46073554,46278652,46351848,46537365,46967020,47201704,47261475,47798272,48053015,48300392,48401458,48532640,48657059,48720354,48831730,48832323,49046914,49326076,49389640,49617634,49639856,49986778,50146323,50331756,50412240,50482831,51426215,51582130,52145829,52791954,52917298,53101917,53290131,53429554,53773056,53899230,53918152,53960722,54297103,54319276,54337941,54511951,54599220,54726423,54790415,54966760,55401625,55563345,55844838,55899411,56022533,56360424,56713770,56937868,56941699,57475295,57492512,57663618,57753658,57850071,58071538,58239168,58294173,58598076,59133945,59147511,59248871,59267568,60494688,60657921,61279123,61347651,61711458,61837605,61898556,62575618,62779762,62800951,63076208,63405477,63776339,64165750,64189996,64679076,64688025,64829015,64956291,65290930,65519064,65598711,65748498,65960112,66112360,66481950,66497091,66676014,66790691,66827015,66986131,67650423,68056524,68120428,68296679,68626492,68970354,69000560,69144940,69397825,69473551,70050981,70067020,70149815,70333971,70914080,70960734,70973122,71715058,72118330,72593452,72625731,73106351,73463615,73708947,74073778,74163811,74205126,74312711,74376405,74444428,74786615,75154664,75289623,75596140,76768415,76998900,77060434,77567290,77625630,77794818,78349116,78634882,78816419,78848301,78950931,79302988,79334832,79468703,79778340,79831671,80032190,80192418,81380015,81589623,82132160,82325722,82670458,82800672,82842423,82959340,82973928,83078671,83195452,83277390,83361703,83394025,83776012,84007295,84080424,84179778,84548997,84717123,85096896,85118002,85465491,86404305,86461971,86541996,87208323,87328003,87332631,87503683,87569314,87705411,87802451,87861196,88140599,88156338,88829216,89208503,89251686,89393740,89743938,89813751,89865178,90185091,90715368,90761314,91050711,91063651,91261018,91350211,91956631,91996303,92122098,92139196,92164592,92250994,92398680,92732179,93080748,93150756,93345669,93867025,94009623,94053298,94588018,94590477,94657498,95115651,95345603,95734008,96038628,96356392,96561292,96794572,97566531,97581631,97656018,98250119,98299923,98558592,98789845,99042151,99139750,99247930,99551208,99650015,99736738,99932868,99964972,...,22039944776640394875562208553343256328853360311441041769696280213273088302723029707135943200147452181932609093751376861307704505267672063702289823732320545659211161428325761414795204854979615771329545146453868402167135383061676750716370752362959336319409929655992142317714290951160264485658316917989597329706128478913755284701247918429082253504889862658686052738545234186430378422315487513969562680020579364648945659446355674620099298983383514519990348401502956230364975143215715396971635176781330868208932946367077761814464550332126286942501168026482270591565650249988081030213066693258115403704937782370778262898628836055950650652893026242917375508127033589671213728391149470287352175173878419655982453220622335966960502024859775215035626851449517276359206738071374378031418901854041638130459182870089981086737599370822928876754172534459635305965571938029904926148633081782583893400948806574195380107299930723003189153775457506952158232770097570926225613450368053960159381463650951853143518091592600090318721494512019296446780550651249694320409664325249201127899457842866916332747481884090216616628618397329588120935446677786202714469321491721407775889540102329968388485947621030046632020796482400210566435154270105497859389501643847510546144977202332605501783791250735464529139135751355981695338392784092880560005096944682905762796665500118512253559839964795135943414328667179725432602031006808066437327094462801124256786196419508858553691036579361152606370514995179716995671414260918476123138549972168701156199759435587379794747295774656291656334392565230023129232316606588445998060553009646286523143746557078616114499613770794470312026407722330465029800737024465745232398650541252359023868828540211845115028034153936432433333039280862251807972546580594659379832754821113733802848539963266589282981567247546414064781277380710379936548760762981714134963034824586027576584362318033482243424140496126710429433717693271296902438714702199678270972597456880683506209831001118039262479144574990947516470127760942658495694755195461688216333529452943027092481928001046612894856446856092640722032989246805860635502949170273309399908284813680552782350583734569594691766066853198684186402257671873458189118450277469652076093657373135981166036538492159241184329957237242005437102014597986838573706754131640390414414514607419417592967873251129009756411568543380616030556318710597392688657383609271893962487047801930929382872485065282824591266451659184841715128915382573558617522428026694477497352777451757397566293940207617716657762879137653829749887874543478636158949909404885018166010325472747359020743753909597521700286145206010251397740704041658280674314828952522215735801514436835641314079858139781079233787041099865548957749765881612157373225772432482957967823800725624237658879891157938999245202043918348602776787443195883634269124220745475084870974373529742406154252615114105007060583394075724116301077644633080067817688564681872215975596908057454060614107488739456846017645566829418085492999117797085148329371459244314769669979254220826765030776995935876290286324989957444932501443098338762747305631927490666939984604744761651381448466444951418476036581880827940544882055357026640353387410225273600129239332371279100567805780523575305885334163656399042520972866891516558474006337188906321902072777855861747383404803177574145687242140961016945681394106560471587881220338171497850863857851037874741700840456640942504068599669663948419195843650959497689702948192391935854797178518039785975042279965692200978197978748384210669023155215494469115224403907359543001863998672316152275570685757299868368480027979942782193940049130857406771260547687759768070693620391397227839987699384935925319235631135980140020009364009931387}
23362  76398070244790072269735123136791880141003955902131577019285017713865698143396: {116785,140142,536797,676657,956161,1653661,1773764,1932157,2892548,3121262,3174104,3451508,3570867,4011697,4293272,4382468,4829931,5068718,5411864,5684468,6075037,6088347,6241988,6371547,6485761,7009118,7285742,7356164,7562222,7585175,8258077,8283764,8936497,8942462,8985515,9102210,9207361,9309867,9613117,9709024,9951428,10557361,10593998,10782618,10922652,10996184,11083175,11229661,11498077,11632177,11829831,12170948,12370707,12836450,13299810,13502017,13832564,13883135,14154542,14186464,14564161,14570228,14828977,15035595,15181971,15245198,15403740,15489757,15959772,16010554,16037968,16061678,16280317,16430656,16659762,16683095,16805917,16876862,17285307,17699588,18042714,18073775,18232622,18434564,18484488,18506161,18778235,19763051,19805761,19833050,20019714,20070771,20124638,20795049,20840257,21002948,21313095,21355777,21688530,21741661,22284788,22533882,22639537,22733968,22767517,22815278,22872220,23134432,23670815,23799660,23893775,24297661,24376715,24551677,25026308,25256643,25386304,25573748,25575714,25776335,26026236,26291582,26826050,27201457,27446664,28153358,28232930,28327357,28404978,28452097,28462731,28559592,28672530,28860027,29214062,29215988,29252058,29726242,29835771,30008078,30487748,30535043,30584032,30877497,30931602,30980504,31032308,31328558,31424257,31792861,31939268,32119118,32129541,32191260,32405761,32674600,32772637,33016861,33260797,33433838,33815450,33879516,33990877,34337344,34357175,34407036,34853067,34864895,35518775,35529902,35686707,35922795,36462068,36498584,36574478,36693371,36758925,36854691,37356398,37663415,38317648,38533083,38625908,38629512,38656718,39209520,39435182,40209661,40557867,40578540,40729742,41060907,41228610,41246558,41301491,41823488,41837874,41863028,42262843,42316957,42466060,42484175,42622530,43107354,43215935,43283776,43434874,43458201,43477597,43621490,43760625,43977184,44110710,44199704,44247435,44335358,44552708,45196098,45434161,45464032,45626564,46678000,46802737,47051424,47178383,47197264,47491544,47658158,47935297,48095915,48146631,48283175,48421502,48694248,49172797,49315371,49375988,49396861,49474332,49683224,49724667,49910468,49955761,50290237,50305948,50735197,50959272,50981010,51068161,51147036,51400477,51859122,51966638,52045508,52345788,52512750,52554795,52932852,53096922,53225918,53427987,53614979,53728622,53817661,54059672,54144577,54379744,54481598,54628935,54732302,54781029,55191682,55233278,55239428,55769437,55893627,56013600,56058448,56124788,56301764,56693351,57100947,57231422,57329181,57362948,57461615,57715098,57848315,57910717,57939810,58227038,58246388,58270864,58426904,58708775,58970557,59002130,59747840,59834564,60010868,60375490,60442237,60546817,60662283,60665800,60817131,60828027,61177212,61446878,61657595,61737050,61802464,62049820,62096474,62401947,62432702,62914695,63015300,63065754,64960472,65109764,65131838,65554722,65730267,65760331,66187837,66861764,67109008,67165251,67216320,67327262,67389661,67397690,67688497,67899095,68085937,68249025,68679937,68708450,68953938,69110331,69417978,69527772,69994718,70389272,70450530,70477838,70802556,71053508,71172335,71514397,71697408,71865640,72450588,72602187,72765361,72798960,72968564,73080531,73247595,73570371,73604078,73989114,74004157,74084460,74382877,74426451,74459784,74532548,74666161,74980167,75147232,75497634,75515822,75618360,75992318,76352257,76884824,76943582,77133428,77278897,77373195,77652224,77655518,77725564,78130768,78564097,78839198,78845260,78863348,79023424,79187931,79375947,80019278,80144331,80237495,80254862,80490302,80644018,80659584,80725598,80848845,80877228,80941083,81092161,81478914,81715357,81796868,81798299,81804097,81898830,82281944,82450140,82531408,82640450,82687537,83767257,84172861,84311843,84346237,84540636,84778417,85070655,85150535,85208797,85406802,85783115,86238768,86250700,86431175,86495427,86608388,86630487,86912317,86996737,87107307,87358752,87464948,87583775,87585661,87664664,87897114,87946816,88639982,88642600,88662788,88901352,89789822,90074299,90200564,90721117,90741815,90742032,91930177,91960472,92090161,92488861,92567187,92847834,93055535,93217742,93401308,93778628,93863427,93899438,93943330,94065661,94169643,94495175,94579838,94614312,94843261,95050571,95383297,95766877,95942594,96248625,96284994,96613262,96755761,96834308,97018614,97508161,97881661,97936395,98278596,98410958,98622747,98635022,98940168,99128735,99138097,99168540,99722925,99753182,...,29386593035520526500749611404457675105137813748588055692928373617697451070297372942847924266863269575910145458335169148410272673690229418269719764976427394212281548571101015219726939806639487695106060195271824536222847177415569000955161003150612448425879906207989523090285721268213685980877755890652796439608171305218340379601663891238776338006519816878248070318060312248573837896420650018626083573360772486198594212595140899493465731977844686026653797868670608307153300190954287195962180235708441157611910595156103682419286067109501715923334890701976360788754200333317441373617422257677487204939917043161037683864838448074600867537190701657223167344169378119561618304521532627049802900231837892874643270960829781289280669366479700286714169135266023035145608984095165837375225202472055517507278910493453308115650132494430571835672230045946180407954095917373206568198177442376778524534598408765593840143066574297337585538367276675936210977026796761234967484600490738613545841951534602470858024122123466787091628659349359061929040734201666259093879552433665601503865943790489221776996642512120288822171491196439450827913928903714936952625761988961877034519386803106624517981263494706728842694395309866947421913539026807330479186002191796680728193302936443474002378388334313952705518847668474642260451190378790507413340129259577207683728887333491349671413119953060181257885771556239633910136041342410755249769459283734832342381595226011811404921382105814870141827353326906289327561885681224634830851399962891601541599679247449839726329727699541722208445856753640030838976422142117927997414070679528382030858328742771488152666151694392627082701876963107286706400982699287660309864867388336478698491771386949126820037378871915243244444052374483002410630062107459545839777006428151645070464719951022119043975422996728552086375036507613839915398347683975618846617379766114703435445816424044642991232187328168947239244956924361729203251619602932904361296796609174244674946441334824052349972192766654596688626837014590211327593006927282250955111372603924036123309237334728817193141929141456854296043985662407814180670598893697745866544379751574070376467444979426126255688089137598245581869676895831277585491267036626202768124876497514641554715384656212321579106609649656007249469352797315784764942338842187187219219352809892556790623831001505346341882091391174154707408424947463190251543178145695858616649397069241239177163313420377099455021935545579788953505220510098078156696570702259303329803703269009863421725253610156955543683838850205106333183832724638181545266545873180024221347100630329812027658338546130028933714860274680335196987605388877707565753105270029620981068685915780855085439810853041438978382721466487398610333021175482876497634363243310610623765067634165650211839854877251998993602725224464803702383257594511512358832294327300113161299164706323208205670153485473342747444525434298821734770192844106757090251419575829621300795877409938747485476651652609128023527422439224113990665490396113531105828612325753026226639005627769020041035994581168387048433319943259910001924131118350329740842569987555919979472993015535175264621926601891301382109174437254059842740476035520471183213633698133505652443161705467423741040698100407847112218208532056694630489188688744632008449585208429202763703807815663177873070903432194249656187948022594241858808747295450508293784228663801151810468050499655601120608854590005424799559551931225594458201279330252937264256522581139729571357386381300056373287589601304263971664512280892030873620659292153632538543146057335818664896421536367427581009733157824640037306590376258586732174476542361680730250346357427591493855196303786650265846581233758980841514640186693345818679908516}
23363  76670153166726439343810204224685071627494753266999499796863252585051217290181: {186856,210213,2217205,2660646,2777341,3337477,3615685,3756613,3967630,4314385,4338822,4681893,4735381,4761156,4876597,5156593,5177262,5366590,5478085,5648038,6439908,6573702,6764830,6974773,7105585,7534621,7603077,7802485,7952461,8117796,8495396,8526702,8726542,8792017,9195205,9362982,9621661,10191277,10354705,10513261,10513677,10928613,11034246,11343333,11803462,12136280,12413156,12425646,12439285,13413693,13483006,13653315,13745230,14033222,14376824,14563536,14878798,14927142,15117157,15213685,15548437,15628261,15773108,15890997,16051633,16173927,16383978,16494276,17290705,17733080,17864197,18212785,18237022,18256422,18693037,19254675,19892222,19949715,20047460,20242628,20538320,20748846,20804221,20986993,21231813,21244597,21279696,21486517,21855342,22124485,22213016,22425182,22867797,23040733,23043205,23047076,23105610,23454037,23939658,24015831,24056952,24092517,24645984,24989643,24997681,25179733,25315293,25831861,26253685,26514781,26549382,26692952,26761028,27064071,27107941,27164302,27348933,27460358,27651846,27695377,27726732,27855985,28417460,28590275,28918040,29043877,29602861,29749575,30029571,30045176,30186957,30231718,31282885,31504422,31732880,31936261,31967185,32532795,32660437,33427182,33527942,33675524,33800823,34100952,34222917,34308330,34701648,35699490,36361798,36519985,36595552,37228606,37539462,37873304,37950308,37998277,38029717,38079456,38109685,38230040,38247397,38360622,38363571,38480036,38536861,38674741,38725630,38790385,39002744,39039354,39437373,39781028,39924085,40239075,40482181,40843250,41040877,41169996,41242136,41297606,41555101,41577877,41970382,42230037,42349395,42607467,42839388,42921680,43008795,43472821,43821093,43823982,43878087,43938142,44589363,44940337,45012117,45172688,45577585,45623230,45627637,45731622,45876048,46397403,46470756,46548462,46992837,47302213,47582276,47594797,47794526,47897060,47908902,48178677,48282385,48286890,49011900,49051142,49139588,49166557,50150757,50355142,50563537,50723175,50819274,50987006,51123541,51377444,51401221,51506016,51610554,52279360,52328785,53082575,53294853,53434142,54053761,54077156,54104720,54693102,54747876,54861717,54971480,55249630,55385998,55690885,55783832,55965157,56034597,56830040,56840413,57033205,57476472,57503797,57938862,57944268,57985077,58347500,58639022,58720382,58758001,58814280,58996580,59152773,59364430,60261464,60366973,60867810,61094613,61590613,61719985,61842915,61869837,61891441,62104030,62388085,62735232,62756811,62794542,62882435,63179206,63699090,63933795,64195508,64548206,64661031,64925664,65056885,65152311,65432235,65753828,65965776,66166065,66299556,66503037,66829062,67274221,67574590,67683661,67794147,67945696,67974680,68151793,68196048,68364422,68439846,68804461,69049285,69145496,69794384,69928717,70017000,70021393,70073060,70155985,70377205,70497181,70577136,70795896,71237316,71312461,71487237,71559646,71703685,71996701,72073381,72214982,72632253,72705877,72807985,72838580,73033630,73041372,73112653,74063982,74173597,74211498,74319157,74524836,74684800,74793205,74865702,75013585,75372037,75458922,75832250,76052878,76134596,76438908,76471515,76706581,76720554,76953464,77253080,77562275,77788683,77949957,78068262,78263998,78518682,78769125,78823261,78934453,79323277,79399278,79645383,79838877,80465413,80535397,80592933,80714257,80883044,81089508,81104036,81200590,81387205,81569616,81722397,82098453,82787523,82849917,82859142,83202596,83577205,83819461,83877326,83886260,84020400,84087672,84187182,84452646,85847133,86044422,86572647,86909715,87340557,87369582,87406296,87640356,87824113,87986590,88003358,88148197,88308517,88503195,88816885,89007493,89553668,89621760,89751846,89832050,89994481,90016302,90563235,90760621,90799357,90998700,91071422,91210705,91407302,91765818,91938584,92147108,92161681,92170317,92181493,92557304,92605575,92703696,93074730,93144711,93146677,93165685,93557821,93649053,93934040,94219261,94403408,94522950,94598631,95596544,95774437,96106030,96410917,96416785,96600784,96802916,97065280,97156955,97158541,97314118,97440708,97663460,97664646,97697757,98093828,98209741,98258677,98332083,98556575,98579185,98652152,98779280,99235268,99279712,99703621,99973556,...,44079889553280789751124417106686512657706720622882083539392560426546176605446059414271886400294904363865218187502753722615409010535344127404579647464641091318422322856651522829590409709959231542659090292907736804334270766123353501432741504725918672638819859311984284635428581902320528971316633835979194659412256957827510569402495836858164507009779725317372105477090468372860756844630975027939125360041158729297891318892711349240198597966767029039980696803005912460729950286431430793943270353562661736417865892734155523628929100664252573885002336052964541183131300499976162060426133386516230807409875564741556525797257672111901301305786052485834751016254067179342427456782298940574704350347756839311964906441244671933921004049719550430071253702899034552718413476142748756062837803708083276260918365740179962173475198741645857753508345068919270611931143876059809852297266163565167786801897613148390760214599861446006378307550915013904316465540195141852451226900736107920318762927301903706287036183185200180637442989024038592893561101302499388640819328650498402255798915685733832665494963768180433233257236794659176241870893355572405428938642983442815551779080204659936776971895242060093264041592964800421132870308540210995718779003287695021092289954404665211003567582501470929058278271502711963390676785568185761120010193889365811525593331000237024507119679929590271886828657334359450865204062013616132874654188925602248513572392839017717107382073158722305212741029990359433991342828521836952246277099944337402312399518871174759589494591549312583312668785130460046258464633213176891996121106019292573046287493114157232228999227541588940624052815444660930059601474048931490464797301082504718047737657080423690230056068307872864866666078561724503615945093161189318759665509642227467605697079926533178565963134495092828129562554761420759873097521525963428269926069649172055153168724636066964486848280992253420858867435386542593804877429404399356541945194913761367012419662002236078524958289149981895032940255521885316991389510390923376432667058905886054184963856002093225789712893712185281444065978493611721271005898340546618799816569627361105564701167469139189383532133706397368372804515343746916378236900554939304152187314746271962332073076984318482368659914474484010874204029195973677147413508263280780828829029214838835185935746502258019512823137086761232061112637421194785377314767218543787924974095603861858765744970130565649182532903318369683430257830765147117235044856053388954994705554903514795132587880415235433315525758275307659499775749086957272317899818809770036332020650945494718041487507819195043400572290412020502795481408083316561348629657905044431471603028873671282628159716279562158467574082199731097915499531763224314746451544864965915935647601451248475317759782315877998490404087836697205553574886391767268538248441490950169741948747059484812308505230228210014121166788151448232602155289266160135635377129363744431951193816114908121228214977478913692035291133658836170985998235594170296658742918488629539339958508441653530061553991871752580572649979914889865002886196677525494611263854981333879969209489523302762896932889902836952073163761655881089764110714053280706774820450547200258478664742558201135611561047150611770668327312798085041945733783033116948012674377812643804145555711723494766809606355148291374484281922033891362788213120943175762440676342995701727715702075749483401680913281885008137199339327896838391687301918995379405896384783871709594357036079571950084559931384401956395957496768421338046310430988938230448807814719086003727997344632304551141371514599736736960055959885564387880098261714813542521095375519536141387240782794455679975398769871850638471262271960280040018728019862774}
23364  76943198739938645623884340201593674215541308852852664019895589494519899296604: {163499,233570,280284,723323,863099,1002803,1073594,1235483,1353314,1560899,1653803,1700243,1912322,2627363,3182099,3307322,3547528,3781763,3864314,3873899,3990969,4426043,4563899,5389523,5785096,5951445,6242524,6348208,6395099,6508233,6531923,6759803,6903016,7078499,7141734,7169483,7760099,7765893,7986899,8023394,8049885,8122883,8472057,8586544,8764936,9208163,9659003,9659862,9860553,10137436,10147245,10154003,10468499,10603163,10619245,10823728,11141099,11368936,11499083,12150074,12176694,12480899,12483976,12579721,12703499,12743094,12790053,12971522,13089813,13148099,13370099,13946363,14018236,14044473,14571484,14609603,14697899,14712328,15124444,15170350,15271043,15516445,16457099,16516154,16551369,16567528,16807403,16982363,17705193,17872994,17884924,17971030,17985899,18204420,18414722,18507803,18551243,18619734,18638469,19201883,19226234,19418048,19418363,19436389,19716385,19807523,19850723,19902856,20224509,20454683,20617845,21049833,21114722,21187996,21565236,21657899,21845304,21992368,22000523,22166350,22299899,22318197,22390713,22459322,22812203,22996154,23264354,23356333,23659662,23663483,24215099,24299843,24341896,24342203,24575967,24741414,24849899,25059325,25303285,25672900,25988003,26289529,26450003,26599620,26952899,27004034,27245723,27355533,27384633,27665128,27766270,28309084,28372928,28496243,28620899,28703963,28808845,29128322,29140456,29243099,29657954,29838333,29946083,30069899,30071190,30193643,30363942,30490396,30807480,30979514,31123269,31304099,31836683,31919544,32021108,32075936,32123356,32204603,32449523,32560634,32653403,32783013,32861312,33139141,33263843,33319524,33366190,33451285,33611834,33637773,33669803,33753724,34127401,34570614,34658415,34761899,34963499,35084363,35366099,35399176,35521825,35567099,35909487,36085428,36086869,36088763,36147550,36465244,36869128,36968976,37012322,37556470,37764899,37884083,38360099,38558099,38834963,39526102,39611522,39666100,39741899,39824073,40017083,40039428,40141542,40213403,40249276,40252643,40331099,40746453,41190537,41387123,41477769,41590098,41680514,42005896,42094405,42204443,42476099,42626190,42711554,43056899,43364893,43377060,43483322,44289923,44405099,44569576,45067764,45279074,45347577,45362099,45467936,45476603,45535034,45630556,45667283,45744440,46268864,46693499,46958603,47256633,47341630,47374403,47437885,47599320,47787550,48100045,48390899,48595322,48753430,48810853,49065323,49103354,49214843,49326899,49401563,49726285,49960523,49997723,50052616,50140773,50291913,50513286,50628899,50772608,51147496,51151428,51462495,51552670,51552899,51737099,52052472,52583164,52728781,53203499,53549235,53652100,53822843,53859203,54294899,54367403,54402914,54542697,54584723,54837899,54893328,55018499,55271003,55487123,55842909,56306716,56309193,56465860,56654714,56742083,56809956,56904194,56925462,57119184,57345060,57540933,57596963,57720054,58088445,58341203,58428124,58431976,58504116,58559031,58588499,59117099,59452484,59477845,59671542,59871325,60016156,60273683,60343499,60502309,60587603,60975496,61070086,61168064,61264875,61282883,61424485,61490843,61733099,61754994,61802243,61863204,61946409,61961008,62064616,62250899,62657116,62848514,62955573,63363157,63585722,63878536,63895763,64202123,64221805,64238236,64259082,64304099,64372043,64382520,64575683,64811522,64812899,64880603,65349200,65387363,65488499,65545274,65735973,65907213,66033722,66227963,66428963,66521594,66867676,66930203,67001233,67334281,67396403,67429643,67596445,67630900,67728443,67759032,67981754,68434845,68597433,68674688,68714350,68814072,69703883,69706134,69729790,69822693,70680803,71037550,71059804,71360363,71373414,71691789,71747099,71845590,71863353,72389099,72430335,72924136,72934375,72997168,73148956,73386742,73517850,73576713,73709382,73726883,73745725,73821899,74232803,74673803,74705243,74712796,74862323,75326830,75332363,75532713,75613523,76018499,76173899,76228911,76267043,76391123,76480509,76577003,76635296,76638899,77066166,77251816,77259024,77313436,77415831,78419040,78845843,78870364,79391099,79481723,79783283,79843499,80151213,80244385,80419322,80446261,80503763,80987641,81115734,81130403,81157080,81459484,81723923,82039653,82121814,82192285,82373099,82457220,82493116,82602982,82874445,82901363,83078997,83310443,83646976,83675748,83726056,84123899,84181763,84525686,84633914,84932120,84968350,85245060,85760483,85845899,86186843,86214708,86320633,86431870,86567552,86611403,86869748,86908293,86916402,86955194,87034163,87202763,87242980,87343043,87439561,87521250,87591325,87762683,87954368,87958533,88080573,88221420,88399408,88494870,88670716,89046645,89105416,89943083,90079403,90392196,90514283,90868322,90893123,90928064,90974099,91048225,91162763,91253128,91301715,91377899,91726403,91966883,92126843,92498963,92843099,93156045,93238499,93317363,93356000,93605474,93762899,93841283,94102848,94191813,94356766,94394528,94768809,94853723,94879523,94931099,94983088,95058733,95168245,95316316,95548635,95777483,95870594,96032243,96191830,96293262,96387563,96566350,96670717,96822309,96842099,96843004,96917603,97093499,97388496,97519043,97544003,98041523,98264363,98345594,98585099,98630742,98751976,98793722,98948664,98953499,99149243,99246923,99366448,99449334,99641269,99820936,99911522,...,66119834329921184626686625660029768986560080934323125309088840639819264908169089121407829600442356545797827281254130583923113515803016191106869471196961636977633484284977284244385614564938847313988635439361605206501406149185030252149112257088878008958229788967976426953142872853480793456974950753968791989118385436741265854103743755287246760514669587976058158215635702559291135266946462541908688040061738093946836978339067023860297896950150543559971045204508868691094925429647146190914905530343992604626798839101233285443393650996378860827503504079446811774696950749964243090639200079774346211114813347112334788695886508167851951958679078728752126524381100769013641185173448410862056525521635258967947359661867007900881506074579325645106880554348551829077620214214123134094256705562124914391377548610269943260212798112468786630262517603378905917896715814089714778445899245347751680202846419722586140321899792169009567461326372520856474698310292712778676840351104161880478144390952855559430554274777800270956164483536057889340341651953749082961228992975747603383698373528600748998242445652270649849885855191988764362806340033358608143407964475164223327668620306989905165457842863090139896062389447200631699305462810316493578168504931542531638434931606997816505351373752206393587417407254067945086015178352278641680015290834048717288389996500355536760679519894385407830242986001539176297806093020424199311981283388403372770358589258526575661073109738083457819111544985539150987014242782755428369415649916506103468599278306762139384241887323968874969003177695690069387696949819765337994181659028938859569431239671235848343498841312383410936079223166991395089402211073397235697195951623757077071606485620635535345084102461809297299999117842586755423917639741783978139498264463341201408545619889799767848944701742639242194343832142131139809646282288945142404889104473758082729753086954100446730272421488380131288301153079813890707316144106599034812917792370642050518629493003354117787437433724972842549410383282827975487084265586385064649000588358829081277445784003139838684569340568277922166098967740417581906508847510819928199724854441041658347051751203708784075298200559596052559206773015620374567355350832408956228280972119407943498109615476477723552989871711726016311306043793960515721120262394921171243243543822258252778903619753387029269234705630141848091668956131792178065972150827815681887461143405792788148617455195848473773799354977554525145386746147720675852567284080083432492058332355272192698881820622853149973288637412961489249663623630435908476849728214655054498030976418242077062231261728792565100858435618030754193222112124974842022944486857566647207404543310506923942239574419343237701361123299596646873249297644836472119677317297448873903471402176872712976639673473816997735606131755045808330362329587650902807372662236425254612923120589227218462757845342315021181750182227172348903232933899240203453065694045616647926790724172362181842322466218370538052936700488254256478997353391255444988114377732944309009937762662480295092330987807628870858974969872334797504329295016288241916895782472000819953814234284954144345399334854255428109745642483821634646166071079921060162230675820800387717997113837301703417341570725917656002490969197127562918600674549675422019011566718965706218333567585242150214409532722437061726422883050837044182319681414763643661014514493552591573553113624225102521369922827512205799008991845257587530952878493069108844577175807564391535554119357925126839897076602934593936245152632007069465646483407345673211722078629005591996016948456826712057271899605105440083939828346581820147392572220313781643063279304212080861174191683519963098154807775957706893407940420060028092029794161}
23365  77217210348057131743071691469593581027902221011334524102772917198935208855036: {350355,373712,420426,1610391,2029971,2868483,3104087,3944291,4434410,4960983,5061959,5321292,5554682,5763251,5796471,6040139,6674954,7231370,7513226,7669319,7803155,7935260,8421047,8628770,8677644,9363786,9398363,9470762,9522312,9753194,9947819,10313186,10354524,10712601,10733180,10923479,10956170,11026103,11296076,12035091,12424763,12671795,12873287,12879816,13147404,13529660,13949546,14211170,14489793,14496587,14662619,15069242,15206154,15604970,15629603,15904922,16235592,16620743,16990792,17053404,17414999,17453084,17522795,17584034,17865731,18214355,18225111,18265041,18390410,18469763,18725964,18905555,19114641,19243322,19457283,20382554,20709410,21026522,21027354,21299159,21857226,22068492,22091771,22356155,22686666,22755525,23456051,23606924,24206987,24272560,24774231,24826312,24851292,24878570,25107251,25497899,26343383,26484995,26721659,26809491,26827386,26956545,26966012,27306630,27490460,27622083,27929601,28066444,28753648,28839351,29046371,29127072,29605403,29634167,29757596,29854284,30234314,30427370,30528563,30974279,31046903,31096874,31250267,31256522,31546216,31672083,31781994,31885379,32091125,32103266,32260487,32347854,32448119,32767956,32988552,33249525,33688983,34494231,34581410,34896531,35386355,35466160,35489493,35728394,36425570,36474044,36512844,36755159,37112121,37386074,38112995,38340899,38509350,38540183,38998379,39068651,39784444,39899430,40026385,40061219,40094920,40154195,40485256,40506051,41076640,41497692,41608442,41649405,41973986,42192155,42463626,42489194,42559392,42973034,43042871,43692483,43710684,43796039,44248970,44426032,44486931,44754059,44850364,44944211,45106785,45211667,45543563,45545913,45581555,45735594,46081466,46086410,46094152,46137443,46211220,46469271,46908074,47879316,48031662,48113904,48185034,48840951,49137491,49291968,49582625,49979286,49995362,50049285,50311595,50359466,50417751,50630586,50796227,51127979,51663722,51855921,52507370,53029562,53030051,53098764,53353559,53385904,53522056,53714903,53923571,54128142,54215882,54221325,54306539,54328604,54697866,54842867,54920716,55303692,55390754,55453464,55518483,55711970,55893719,56334705,56740343,56834920,57038195,57180550,57836080,58087754,58105931,59205722,59289153,59417283,59499150,59546699,59824823,60059142,60090352,60212313,60373914,60413027,60463436,62385147,62520771,62565770,63008844,63465760,63808619,63872522,63934370,63939285,64067331,65065590,65224983,65320874,65670707,65728955,66854364,67055884,67065125,67351048,67595339,67601646,67918611,68201904,68302551,68445834,68616660,69172787,69403296,69590243,70383395,70582325,70985303,71012445,71284859,71398980,71681325,71820023,72723596,72892983,73035155,73039970,73130145,73191104,73217399,73260299,73420547,73655031,74179991,74315605,74457212,75020195,75078924,75170483,75746608,75769929,75900616,75996554,76059434,76158912,76169651,76219370,76460080,76494794,76721244,76727142,76960072,77043959,77073722,77329005,77349482,77451260,77580770,77967239,78005488,78078708,78321395,78790967,78874746,79330163,79562056,79846487,79848170,80297795,80478150,80964362,81314363,81604371,81686500,82081754,82339992,82484272,82595212,83110202,83155754,83584595,83940764,84278363,84460074,84538625,84698790,84982071,85214934,85324019,85356291,85388193,85478747,85678776,85843360,86017590,86407979,86580081,86799299,86945642,87343319,87642186,87647964,87756174,87831731,87876284,88035409,88824755,89178726,89507313,89880674,90024234,90345376,91079639,91155170,91246460,91255274,91436195,91463244,91605129,91752096,92373779,92632491,92794806,92941512,93096924,93154763,93390995,93507107,93745691,93985674,94227383,94272771,94604426,95164552,95189594,95378583,95589052,95794120,95817804,96357354,96388623,96564770,96573780,96641795,96668999,97217283,98023800,98102284,98218379,98279176,98317911,98333114,98517659,98528087,98587955,99050583,99059363,99782391,...,88159779106561579502248834213373025315413441245764167078785120853092353210892118828543772800589808727730436375005507445230818021070688254809159294929282182636844645713303045659180819419918463085318180585815473608668541532246707002865483009451837345277639718623968569270857163804641057942633267671958389318824513915655021138804991673716329014019559450634744210954180936745721513689261950055878250720082317458595782637785422698480397195933534058079961393606011824921459900572862861587886540707125323472835731785468311047257858201328505147770004672105929082366262600999952324120852266773032461614819751129483113051594515344223802602611572104971669502032508134358684854913564597881149408700695513678623929812882489343867842008099439100860142507405798069105436826952285497512125675607416166552521836731480359924346950397483291715507016690137838541223862287752119619704594532327130335573603795226296781520429199722892012756615101830027808632931080390283704902453801472215840637525854603807412574072366370400361274885978048077185787122202604998777281638657300996804511597831371467665330989927536360866466514473589318352483741786711144810857877285966885631103558160409319873553943790484120186528083185929600842265740617080421991437558006575390042184579908809330422007135165002941858116556543005423926781353571136371522240020387778731623051186662000474049014239359859180543773657314668718901730408124027232265749308377851204497027144785678035434214764146317444610425482059980718867982685657043673904492554199888674804624799037742349519178989183098625166625337570260920092516929266426353783992242212038585146092574986228314464457998455083177881248105630889321860119202948097862980929594602165009436095475314160847380460112136615745729733332157123449007231890186322378637519331019284454935211394159853066357131926268990185656259125109522841519746195043051926856539852139298344110306337449272133928973696561984506841717734870773085187609754858808798713083890389827522734024839324004472157049916578299963790065880511043770633982779020781846752865334117811772108369927712004186451579425787424370562888131956987223442542011796681093237599633139254722211129402334938278378767064267412794736745609030687493832756473801109878608304374629492543924664146153968636964737319828948968021748408058391947354294827016526561561657658058429677670371871493004516039025646274173522464122225274842389570754629534437087575849948191207723717531489940261131298365065806636739366860515661530294234470089712106777909989411109807029590265175760830470866631051516550615318999551498173914544635799637619540072664041301890989436082975015638390086801144580824041005590962816166633122697259315810088862943206057747342565256319432559124316935148164399462195830999063526448629492903089729931831871295202902496950635519564631755996980808175673394411107149772783534537076496882981900339483897494118969624617010460456420028242333576302896465204310578532320271270754258727488863902387632229816242456429954957827384070582267317672341971996471188340593317485836977259078679917016883307060123107983743505161145299959829779730005772393355050989222527709962667759938418979046605525793865779805673904146327523311762179528221428106561413549640901094400516957329485116402271223122094301223541336654625596170083891467566066233896025348755625287608291111423446989533619212710296582748968563844067782725576426241886351524881352685991403455431404151498966803361826563770016274398678655793676783374603837990758811792769567743419188714072159143900169119862768803912791914993536842676092620861977876460897615629438172007455994689264609102282743029199473473920111919771128775760196523429627085042190751039072282774481565588911359950797539743701276942524543920560080037456039725548}
23366  77492191386527525163725466622900528520056302180486158245779369534290423876305: {326998,467140,560568,630639,1446646,1700389,1726198,2005606,2147188,2257093,2470966,2706628,3121798,3228553,3307606,3400486,3643813,3782089,3824644,4472389,4610233,5160889,5254726,6364198,6614644,6651615,7079113,7095056,7215589,7563526,7728628,7747798,7760773,7981938,8032933,8332023,8576389,8852086,9127798,9919075,10012431,10779046,10847055,11269839,11570192,11902890,12485048,12696416,12790198,12943155,13016466,13063846,13416475,13519606,13806032,14045679,14120095,14156998,14206143,14283468,14338966,14629791,14866943,15469779,15520198,15531786,15973798,16046788,16099770,16245766,16434255,16458553,16912075,16944114,17173088,17529872,18416326,18552889,19318006,19319724,19721106,19852489,20274872,20294490,20308006,20628793,20924319,20936998,21206326,21238490,21316755,21647456,21723023,21816355,22282198,22301893,22603863,22737872,22809231,22998166,23407455,23708089,23857383,24217273,24300148,24344389,24353388,24961798,24967952,25159442,25406998,25486188,25580106,25943044,26179626,26296198,26376051,26740198,26871589,27373573,27585615,27602939,27892726,28036472,28088946,28748089,28864983,29142968,29219206,29245753,29395798,29424656,29508655,30248888,30340700,30542086,30573831,31032890,31056223,31064115,31224889,31347973,31539783,31541031,32785839,32914198,33032308,33102738,33135056,33614806,33707515,33794533,33964726,34029999,34159033,34363075,34401673,35007013,35083055,35369353,35410386,35424599,35745988,35769848,35942060,35971798,36408840,36692389,36829444,37015606,37102486,37196995,37239468,37276938,37317855,37887589,38363653,38403766,38452468,38601253,38836096,38836726,38872778,39432770,39615046,39701446,39805712,40138633,40241079,40256389,40332383,40374073,40449018,40909366,40959945,41235690,41429989,42099666,42229444,42375992,42480073,43130472,43315798,43690608,43755589,43984736,44001046,44332489,44332700,44447653,44599798,44636394,44781426,44918644,45351471,45592555,45624406,45641055,45992308,46166473,46528708,46622089,46645311,46712666,46831799,46884783,47319324,47326966,47672991,47983639,48154899,48430198,48521781,48599686,48683792,48684406,49151934,49331593,49482828,49699798,49730555,50002489,50118650,50606570,51003973,51249419,51345800,51557833,51872115,51976006,52579058,52900006,53199240,53208613,53592591,53864389,53905798,54008068,54300133,54491446,54638355,54711066,54769266,54843193,55059913,55330256,55532540,56062955,56079111,56618168,56745856,56992486,56997433,57241798,57407926,57617690,57638089,57764025,58169989,58256644,58280912,58486198,58594213,58932167,59122873,59315908,59676666,59849145,59892166,60139798,60142380,60387286,60727884,60980792,61427593,61614960,61959028,62246538,62412663,62463673,62608198,62960979,63673366,63695439,63733791,63839088,64042216,64151872,64246712,64409206,64459551,64819333,64899046,64902343,65121268,65306806,65427589,65528713,65566026,65722624,66278282,66373455,66413039,66527686,66535993,66639048,66732380,66902570,66936889,67223668,67275546,67339606,67340063,67436389,67507448,67910755,68254802,68603391,68650895,69122199,69129615,69141228,69316830,69514633,69523798,69616799,69926998,70168726,70297993,70362111,70732198,70798352,71043650,71134198,71270713,71367589,71818974,72047493,72170856,72173738,72177526,72277551,72295100,72930488,73738256,73861093,73937952,74024644,74137459,74712889,74883731,74968929,74993043,75112940,75529798,75539199,75558853,75579295,75746053,75768166,75945879,76212793,76584889,76720198,77116198,77495583,77669926,78336613,78761055,78884389,78975433,79052204,79223044,79332200,79429573,79483798,79544343,79648146,79791589,79881913,80034166,80078856,80283084,80426806,80498552,80505286,80662198,81192213,81323823,81492906,81939493,82046799,82381074,82774246,82822213,82955538,83086131,83180196,83268983,83361028,83567955,83819855,84011792,84132793,84188810,84408886,84952198,84997513,85252380,85423108,85770825,85994279,86113798,86729786,86754120,86966644,87131631,88134373,88579846,88808583,88810198,88882489,89139152,89248725,89295589,89910527,90088713,90135528,90558148,90560871,90605413,90695154,90724198,90904495,90929989,90935872,90953206,91070068,91261112,91334566,91414693,91488880,91656073,91816633,92537728,92615113,92853253,93071515,93327589,93386998,93848655,93917206,94034233,94424293,94513266,94635023,94683260,94748806,94875770,94889989,95198640,95575100,95808783,95901555,96042889,96200090,96781798,96814075,97104313,97190644,97479973,97506860,97554889,97598385,97621706,97981311,98130646,98206708,98300089,98429686,98596153,98653798,98803126,99452570,99921046,99995446,...,132239668659842369253373251320059537973120161868646250618177681279638529816338178242815659200884713091595654562508261167846227031606032382213738942393923273955266968569954568488771229129877694627977270878723210413002812298370060504298224514177756017916459577935952853906285745706961586913949901507937583978236770873482531708207487510574493521029339175952116316431271405118582270533892925083817376080123476187893673956678134047720595793900301087119942090409017737382189850859294292381829811060687985209253597678202466570886787301992757721655007008158893623549393901499928486181278400159548692422229626694224669577391773016335703903917358157457504253048762201538027282370346896821724113051043270517935894719323734015801763012149158651290213761108697103658155240428428246268188513411124249828782755097220539886520425596224937573260525035206757811835793431628179429556891798490695503360405692839445172280643799584338019134922652745041712949396620585425557353680702208323760956288781905711118861108549555600541912328967072115778680683303907498165922457985951495206767396747057201497996484891304541299699771710383977528725612680066717216286815928950328446655337240613979810330915685726180279792124778894401263398610925620632987156337009863085063276869863213995633010702747504412787174834814508135890172030356704557283360030581668097434576779993000711073521359039788770815660485972003078352595612186040848398623962566776806745540717178517053151322146219476166915638223089971078301974028485565510856738831299833012206937198556613524278768483774647937749938006355391380138775393899639530675988363318057877719138862479342471696686997682624766821872158446333982790178804422146794471394391903247514154143212971241271070690168204923618594599998235685173510847835279483567956278996528926682402817091239779599535697889403485278484388687664284262279619292564577890284809778208947516165459506173908200893460544842976760262576602306159627781414632288213198069625835584741284101037258986006708235574874867449945685098820766565655950974168531172770129298001176717658162554891568006279677369138681136555844332197935480835163813017695021639856399449708882083316694103502407417568150596401119192105118413546031240749134710701664817912456561944238815886996219230952955447105979743423452032622612087587921031442240524789842342486487087644516505557807239506774058538469411260283696183337912263584356131944301655631363774922286811585576297234910391696947547598709955109050290773492295441351705134568160166864984116664710544385397763641245706299946577274825922978499327247260871816953699456429310108996061952836484154124462523457585130201716871236061508386444224249949684045888973715133294414809086621013847884479148838686475402722246599193293746498595289672944239354634594897747806942804353745425953279346947633995471212263510091616660724659175301805614745324472850509225846241178454436925515690684630042363500364454344697806465867798480406906131388091233295853581448344724363684644932436741076105873400976508512957994706782510889976228755465888618019875525324960590184661975615257741717949939744669595008658590032576483833791564944001639907628468569908288690798669708510856219491284967643269292332142159842120324461351641600775435994227674603406834683141451835312004981938394255125837201349099350844038023133437931412436667135170484300428819065444874123452845766101674088364639362829527287322029028987105183147106227248450205042739845655024411598017983690515175061905756986138217689154351615128783071108238715850253679794153205869187872490305264014138931292966814691346423444157258011183992033896913653424114543799210210880167879656693163640294785144440627563286126558608424161722348383367039926196309615551915413786815880840120056184059588322}
23367  77768145262651626562442318631490292469815981328201840505040339762293421605490: {490497,583925,700710,747424,840852,2169969,2589297,2683985,3008409,3220782,3383285,3706449,4059942,4364393,4682697,4780805,4961409,5100729,5736966,5903249,6208174,6743237,7441313,7882089,7888582,8268305,8868820,9120857,9546297,9660785,9921966,10123918,10642584,10924417,11109364,11345289,11497253,11526502,11592942,11621697,11972907,12080278,12336809,13030849,13278129,13349908,13691697,14462740,15026452,15119753,15338638,15606310,15870520,16168569,16387633,16842094,17257540,17355288,17740513,17854335,18471349,18727572,18796726,18941524,19044624,19185297,19506388,19524699,19595769,19895638,20058485,20279409,20626372,20709048,20990597,21235497,21425202,21466360,21508449,21846958,21912340,22052206,22592152,23280297,23297679,23360873,23960697,24070182,24149655,24368649,24531913,24849526,25184057,25343590,25416171,25500097,25746574,25759632,26294808,26467777,27059320,27624489,27700133,27899092,28097753,28391729,28422340,28977009,28979586,28993174,29325238,29581659,30138484,30375185,30412308,30441735,30462009,31049569,31133089,31209940,31259206,31298617,31405497,31745633,31809489,31809844,31857735,31888117,32428805,32471184,33241486,33423297,33981584,34106808,34497249,34829998,34906168,34926769,35045590,35168068,35731462,36428710,36450222,36530082,36780820,36939526,37078993,37442697,37451928,37739163,37811110,37925875,38110497,38229282,38347777,38370159,38486644,38914566,39269439,39444297,39830369,40110297,40765108,41290385,41418820,41839089,42053044,42054708,42133419,42598193,42598318,42851593,43714452,43828809,44093697,44136984,44183542,44682485,44712310,44858633,44927575,45373332,45511050,45547489,45813129,46036805,46549335,46912102,47213848,47345077,48065585,48329713,48413974,48545120,49371297,49540897,49548462,49652624,49654107,49702584,49757140,50185553,50214502,50422209,50947089,50995798,52518133,52686766,52786805,52969990,53115579,53358193,53443318,53618982,53654772,53913090,53932024,53957697,54526069,54613260,54980920,55244166,55415875,55523409,55653729,55859202,55915407,56036939,56132888,56148305,56215873,57490385,57507296,57605649,57678702,58092742,58160885,58254144,58255089,58309167,58768133,59069017,59149155,59210806,59268334,59422569,59515192,59552169,59708568,60468628,60673527,60774593,60854740,61057126,61294969,61364049,61853535,61948558,62093806,62193748,62500534,62513044,63092432,63149499,63344166,63481249,63563988,63770758,63814177,64182250,64206532,64520974,64695708,64896238,64973697,65300873,65535912,65977104,66001569,66499050,66552193,66899697,66954591,67056769,67172139,67377966,67510085,67962673,68314433,68436609,68988462,69162820,69415675,69793062,70068999,70436233,70772710,70932320,70978986,70990449,71456788,72645297,72820805,72851140,72899529,72948088,72984889,73025688,73026609,73510318,73727901,74144885,74224242,74332049,74549697,74772148,75177975,75197273,75909855,76225990,76681798,77018700,77080366,77448785,77964009,77996758,78137302,78484033,78868587,79350009,79568888,79671313,79798860,79853473,80052770,80122438,80189840,80308390,80336993,80858697,80970512,81012102,81401585,81737169,82066599,82153280,82153899,82995384,83216884,83298810,83415475,83947972,84029585,84384310,84878209,84927252,84978388,85118784,85488729,85862697,85946068,86085742,86111889,86426535,87384966,87421368,87592078,87729297,88497940,88518097,88852064,88973862,89320649,89508118,89514999,89700728,89838249,89888422,90209697,90213570,90368875,90423334,90580929,91087126,91091826,91163110,91373833,91471188,91566437,92020537,92162932,92172820,92177573,92188304,92274886,92422440,92530805,92938542,93369807,93753829,93816148,93891175,93912297,95510049,95758632,96063324,96227808,96370068,96613809,96785249,96879817,97348569,97681902,97960209,98274982,98349039,98536753,98563433,98583936,98815255,99028805,99165250,99417423,99791529,99955873,99958572,99990724,...,198359502989763553880059876980089306959680242802969375927266521919457794724507267364223488801327069637393481843762391751769340547409048573320608413590884910932900452854931852733156843694816541941965906318084815619504218447555090756447336771266634026874689366903929280859428618560442380370924852261906375967355156310223797562311231265861740281544008763928174474646907107677873405800839387625726064120185214281840510935017201071580893690850451630679913135613526606073284776288941438572744716591031977813880396517303699856330180952989136582482510512238340435324090852249892729271917600239323038633344440041337004366087659524503555855876037236186256379573143302307040923555520345232586169576564905776903842078985601023702644518223737976935320641663045655487232860642642369402282770116686374743174132645830809829780638394337406359890787552810136717753690147442269144335337697736043255040608539259167758420965699376507028702383979117562569424094930878138336030521053312485641434433172858566678291662824333400812868493450608173668021024955861247248883686978927242810151095120585802246994727336956811949549657565575966293088419020100075824430223893425492669983005860920969715496373528589270419688187168341601895097916388430949480734505514794627594915304794820993449516054121256619180762252221762203835258045535056835925040045872502146151865169989501066610282038559683156223490728958004617528893418279061272597935943850165210118311075767775579726983219329214250373457334634956617452961042728348266285108246949749518310405797834920286418152725661971906624907009533087070208163090849459296013982544977086816578708293719013707545030496523937150232808237669500974185268206633220191707091587854871271231214819456861906606035252307385427891899997353527760266271752919225351934418494793390023604225636859669399303546834105227917726583031496426393419428938846866835427214667313421274248189259260862301340190817264465140393864903459239441672121948432319797104438753377111926151555888479010062353362312301174918527648231149848483926461252796759155193947001765076487243832337352009419516053708021704833766498296903221252745719526542532459784599174563323124975041155253611126352225894601678788157677620319046861123702066052497226868684842916358223830494328846429433170658969615135178048933918131381881547163360787184763513729730631466774758336710859260161087807704116890425544275006868395376534197916452483447045662383430217378364445852365587545421321398064932663575436160238443162027557701852240250297476174997065816578096645461868559449919865912238884467748990870891307725430549184643965163494092929254726231186693785186377695302575306854092262579666336374924526068833460572699941622213629931520771826718723258029713104083369898789940619747892934509416359031951892346621710414206530618138929919020421450993206818395265137424991086988762952708422117986709275763838769361767681655388273536026945063545250546681517046709698801697720610359197082136849943780372172517086545526967398655111614158810101464762769436992060173766334964343133198832927029813287987440885276992963422886612576924909617004392512987885048864725750687347416002459861442702854862433036198004562766284329236927451464903938498213239763180486692027462401163153991341511905110252024712177752968007472907591382688755802023649026266057034700156897118655000702755726450643228598167311185179268649152511132546959044244290930983043543480657774720659340872675307564109768482536617397026975535772762592858635479207326533731527422693174606662358073775380519691229808803781808735457896021208396939450222037019635166235887016775988050845370480136171815698815316320251819485039745460442177716660941344929189837912636242583522575050559889294464423327873120680223821260180084276089382483}
23368  78045075395628537461570515405779865430031119398531081007009241516799805667096: {256927,653996,676831,934280,956407,1051065,1096087,1121136,1261278,1654087,2071831,2893292,3400778,3452396,3874567,4011212,4150831,4294376,4514186,4831173,4941932,5413256,5802367,6089913,6213631,6243596,6457106,6487447,6615212,6800972,7170727,7287626,7564178,7649288,7988287,8605449,8944778,9220466,9312261,9885847,10321778,10509452,10560127,10694767,11086025,11232607,11635231,11832873,12705727,12728396,13229288,13303230,13638631,13886705,14037367,14158226,14190112,14431178,14568007,14700487,14882949,14965231,15127052,15185877,15361807,15457256,15495596,15521546,15963876,16065866,16664046,16687385,17152778,17289753,17389413,17704172,17989087,18078425,18120417,18255596,18641407,18783065,19291927,19768133,19838150,19940647,20024862,21558092,21571925,21694110,21747487,21876007,22539678,22773631,23007957,23140384,23409465,23667727,23676905,23805780,24304207,24382985,24431287,24685231,24970096,25263141,25392832,25580396,25782965,25886310,26032932,26127692,26832950,27039212,27390425,27612064,27835231,28091358,28195089,28210207,28240190,28313996,28412286,28459831,28566936,28677932,28709167,29259582,29733886,29843457,30542897,30939558,31040396,31063572,31555831,31947596,32093576,32137803,32199540,32491532,32537047,32770437,32868510,32917106,33078309,33824150,33888228,34346176,34848967,34873865,35059744,35527925,36105273,36175567,36702809,36832652,37105778,37254487,37274289,37673105,38015385,38619861,38636012,38639448,39012425,39039727,39442212,39704978,39749287,39762305,40338607,40549744,40588980,40616012,40808767,41257586,41312117,41745631,41848638,41873996,42412652,42476980,42633510,43258207,43294912,43446046,43469379,43489761,43632710,43960085,43987857,44564396,44603786,44643631,45207726,45447007,45475744,45618462,45976025,45996332,46814910,46888809,47190521,47416178,47714766,47835967,48108305,48434546,48600296,48625231,48688778,48706776,49116277,49410967,49522927,49862229,49923596,49935904,50318884,50813996,50956385,50972376,51160212,51193687,51773525,51886088,52075793,52244997,52359252,52566305,52568385,52592396,52752102,53480396,53597193,53614831,53628773,53743178,54160231,54377887,54643065,54675333,54747146,54795123,55171230,55205878,55409289,55569847,55785452,56072944,56177892,56323831,56538607,56707937,56716665,57343923,57496178,57729966,57927631,58285936,58371849,58438412,58491506,58670527,58791596,58849312,59017310,59830807,60355327,60497776,60564631,60681400,61084172,61086631,61147662,61294927,61814407,62065780,62112446,62128230,62196425,62449778,62695946,63079566,63082062,63156631,63464647,63829577,63897477,63976567,64384807,64893487,65400367,65571678,65828396,66064616,66205476,66270112,66275313,67010287,67068465,67229612,67409887,67415030,67589066,67708831,67929452,68007127,68059998,68266575,68318066,68700631,68726150,68803346,69622777,69979207,70014026,70166110,70368153,70738706,70820772,70849198,71439367,71491976,71539696,71884120,71943596,72115231,72307687,72620961,72817680,73384778,73658888,74031212,74204972,74311087,74322693,74393990,74478936,74553876,74635710,75321753,75585785,75775178,76068425,76096327,76493697,76654687,76702769,76727306,76807532,76904936,77202506,77302831,77672192,77673452,77742185,77745556,78141305,78222631,78488137,78679831,78865540,79030149,79230092,79402892,79454985,79611424,79860127,80164977,80258165,80277266,80428473,80482158,80512778,80664766,80670127,80748146,80869635,80898036,80938831,81818732,81829831,81919890,82471380,82537447,82859513,82859978,82866249,83590231,83764687,83788803,84199332,84199567,84286327,84458888,84751984,84960146,86260944,86453525,86518053,86631596,86855647,87024631,87139113,87381216,87511178,87616997,87969472,88002092,88449367,88664978,88665400,88816209,88895306,88902501,89199596,89272788,89320985,89562852,89837288,90702942,91063925,91185110,91248812,91282110,91397767,91585689,91984616,92332946,92359831,92916247,92922837,93057416,93140709,93153631,93244178,93290622,93425332,93465185,93663598,93750801,93769566,94638648,94653932,94952047,95016249,95075057,95345982,95491831,95656137,95875231,95967278,96111253,96273375,96309798,96781461,96788047,96860396,96863647,97043562,97199372,97344357,97367584,97368812,97989007,98303868,98656447,98663186,98965656,99399596,99461110,99748575,99973831,...,264479337319684738506746502640119075946240323737292501236355362559277059632676356485631318401769426183191309125016522335692454063212064764427477884787846547910533937139909136977542458259755389255954541757446420826005624596740121008596449028355512035832919155871905707812571491413923173827899803015875167956473541746965063416414975021148987042058678351904232632862542810237164541067785850167634752160246952375787347913356268095441191587800602174239884180818035474764379701718588584763659622121375970418507195356404933141773574603985515443310014016317787247098787802999856972362556800319097384844459253388449339154783546032671407807834716314915008506097524403076054564740693793643448226102086541035871789438647468031603526024298317302580427522217394207316310480856856492536377026822248499657565510194441079773040851192449875146521050070413515623671586863256358859113783596981391006720811385678890344561287599168676038269845305490083425898793241170851114707361404416647521912577563811422237722217099111201083824657934144231557361366607814996331844915971902990413534793494114402995992969782609082599399543420767955057451225360133434432573631857900656893310674481227959620661831371452360559584249557788802526797221851241265974312674019726170126553739726427991266021405495008825574349669629016271780344060713409114566720061163336194869153559986001422147042718079577541631320971944006156705191224372081696797247925133553613491081434357034106302644292438952333831276446179942156603948056971131021713477662599666024413874397113227048557536967549295875499876012710782760277550787799279061351976726636115755438277724958684943393373995365249533643744316892667965580357608844293588942788783806495028308286425942482542141380336409847237189199996471370347021695670558967135912557993057853364805634182479559199071395778806970556968777375328568524559238585129155780569619556417895032330919012347816401786921089685953520525153204612319255562829264576426396139251671169482568202074517972013416471149749734899891370197641533131311901948337062345540258596002353435316325109783136012559354738277362273111688664395870961670327626035390043279712798899417764166633388207004814835136301192802238384210236827092062481498269421403329635824913123888477631773992438461905910894211959486846904065245224175175842062884481049579684684972974175289033011115614479013548117076938822520567392366675824527168712263888603311262727549844573623171152594469820783393895095197419910218100581546984590882703410269136320333729968233329421088770795527282491412599893154549651845956998654494521743633907398912858620217992123905672968308248925046915170260403433742472123016772888448499899368091777947430266588829618173242027695768958297677372950805444493198386587492997190579345888478709269189795495613885608707490851906558693895267990942424527020183233321449318350603611229490648945701018451692482356908873851031381369260084727000728908689395612931735596960813812262776182466591707162896689448727369289864873482152211746801953017025915989413565021779952457510931777236039751050649921180369323951230515483435899879489339190017317180065152967667583129888003279815256937139816577381597339417021712438982569935286538584664284319684240648922703283201550871988455349206813669366282903670624009963876788510251674402698198701688076046266875862824873334270340968600857638130889748246905691532203348176729278725659054574644058057974210366294212454496900410085479691310048823196035967381030350123811513972276435378308703230257566142216477431700507359588306411738375744980610528028277862585933629382692846888314516022367984067793827306848229087598420421760335759313386327280589570288881255126572253117216848323444696766734079852392619231103830827573631761680240112368119176644}
23369  78322985216595929590784467739479013139222147888232270801061943930847836704220: {23369,817495,980994,1167850,1401420,1494848,1681704,1891917,3616615,3757579,4315495,4339938,4736599,4877851,5014015,5101167,5157919,5178594,5367970,6016818,6177415,6441564,6693127,6766570,6771279,6976567,7412898,7536559,7804495,7954507,8119884,8269015,8501215,8728786,8794279,9365394,9491647,9561610,9685659,9922818,10193899,10201458,10931439,11346267,11473932,11575627,11806498,12051787,12290167,12416348,12849871,13136815,13417167,13486474,13525099,13830699,14882626,15482667,15632287,15764178,15777164,15910495,16247767,16536610,17165467,17737640,17868799,18241714,18908815,19092594,19321570,19369495,19604551,19843932,19954845,20229451,20247836,21237339,21285168,21646767,21848834,22130215,22218728,22690578,22780351,22819495,22994506,23053004,23185884,23243394,23282319,23362879,23460079,23945814,24098799,24152767,24160556,24673618,24996069,25729167,26061698,26109211,26556258,26699816,26947615,27366427,27383394,28081879,28394167,28889239,28925480,29051359,29610487,29757225,30037293,30052904,30239506,30677276,31212620,31403371,31741040,31748359,31975495,32337138,32541165,32659615,32775266,32832559,33470107,33684188,33799015,33809517,33934987,34515080,34710576,35332447,35392495,35481026,35708670,35847415,35872939,36942698,37455144,37593452,37883048,38039551,38089248,38370594,38800495,38829465,39012776,39049398,39191538,39791276,39921967,39934495,40068127,40116970,40249425,40558818,40614415,41180551,41252744,41418096,41981194,42137037,42360285,42470994,42525259,42577291,42618429,42850404,42932720,43016898,43693916,43824680,43889373,44104412,44600829,45184304,45400327,45650119,46040815,46409337,46560594,46595358,46721746,47046859,47910871,47921394,48140364,48295015,48299310,48673867,48737298,49063826,49302765,49375659,49699052,50343319,50368114,50687180,50695051,50736225,50770015,50832342,51000194,51493148,51519264,52342495,52589616,52935554,53015815,53096225,54118640,55248978,55400266,55658667,55705495,55798184,56195506,56287711,56783458,56844680,57495415,57758107,57806539,57954018,57959172,57963079,57986348,58650476,58773199,59163318,59310199,59556967,59557467,60010831,60276968,60750370,60824616,60883470,60924018,61283167,61886379,62099138,62266178,62404495,62419880,62518412,62555479,62597234,62772957,62810994,62898605,63491266,63517495,63618978,63619688,63715470,63776234,63950265,64256719,64451527,64857610,64942368,65169069,65449065,65682031,65740495,66482972,66846594,66850495,66905679,67291819,67811589,67963168,68213616,68427693,68822347,68994498,69659996,69731815,69812336,69853538,70091180,70222365,70327807,70336136,70515439,71124267,71462924,71572149,71824519,72651819,72857420,72900444,73033167,73048015,73060164,73131559,73489495,73561640,73879052,73901527,74157986,74885394,74903856,75478326,75622220,75851750,75984679,76114879,76220994,76355215,76458564,76695554,76740318,76973288,77173759,77582225,77588587,77829132,78538878,78607627,78888594,79128153,79496119,79660738,80220594,80343967,80486539,80614767,80735239,80936731,81425239,81530216,82120719,82285495,82580770,82756845,82808817,82837640,83678178,83735479,83841307,84037015,84044011,84106088,84109416,84266838,84911815,85196386,85196636,85338847,85703186,86244267,86594949,87428904,87657618,87737259,87832987,87846967,88170991,88187394,88273968,88367084,88525965,89364970,89424620,89717266,89855150,89929495,90746664,91022100,91094978,91626258,91721493,92073610,92185519,92205367,92539015,92756215,93098670,93168669,93192345,93523231,93674667,93824204,94043919,94427696,94514119,94619349,94623093,94690154,94943719,95378539,96009415,96131170,96183007,96659426,96827948,97090240,97091815,97181945,98357517,98534647,98581925,98742594,99037615,99081794,99096924,99253615,99305248,99308214,99405168,99514280,...,396719005979527107760119753960178613919360485605938751854533043838915589449014534728446977602654139274786963687524783503538681094818097146641216827181769821865800905709863705466313687389633083883931812636169631239008436895110181512894673542533268053749378733807858561718857237120884760741849704523812751934710312620447595124622462531723480563088017527856348949293814215355746811601678775251452128240370428563681021870034402143161787381700903261359826271227053212146569552577882877145489433182063955627760793034607399712660361905978273164965021024476680870648181704499785458543835200478646077266688880082674008732175319049007111711752074472372512759146286604614081847111040690465172339153129811553807684157971202047405289036447475953870641283326091310974465721285284738804565540233372749486348265291661619659561276788674812719781575105620273435507380294884538288670675395472086510081217078518335516841931398753014057404767958235125138848189861756276672061042106624971282868866345717133356583325648666801625736986901216347336042049911722494497767373957854485620302190241171604493989454673913623899099315131151932586176838040200151648860447786850985339966011721841939430992747057178540839376374336683203790195832776861898961469011029589255189830609589641986899032108242513238361524504443524407670516091070113671850080091745004292303730339979002133220564077119366312446981457916009235057786836558122545195871887700330420236622151535551159453966438658428500746914669269913234905922085456696532570216493899499036620811595669840572836305451323943813249814019066174140416326181698918592027965089954173633157416587438027415090060993047874300465616475339001948370536413266440383414183175709742542462429638913723813212070504614770855783799994707055520532543505838450703868836989586780047208451273719338798607093668210455835453166062992852786838857877693733670854429334626842548496378518521724602680381634528930280787729806918478883344243896864639594208877506754223852303111776958020124706724624602349837055296462299696967852922505593518310387894003530152974487664674704018839032107416043409667532996593806442505491439053085064919569198349126646249950082310507222252704451789203357576315355240638093722247404132104994453737369685832716447660988657692858866341317939230270356097867836262763763094326721574369527027459461262933549516673421718520322175615408233780851088550013736790753068395832904966894091324766860434756728891704731175090842642796129865327150872320476886324055115403704480500594952349994131633156193290923737118899839731824477768935497981741782615450861098369287930326988185858509452462373387570372755390605150613708184525159332672749849052137666921145399883244427259863041543653437446516059426208166739797579881239495785869018832718063903784693243420828413061236277859838040842901986413636790530274849982173977525905416844235973418551527677538723535363310776547072053890127090501093363034093419397603395441220718394164273699887560744345034173091053934797310223228317620202929525538873984120347532669928686266397665854059626575974881770553985926845773225153849819234008785025975770097729451501374694832004919722885405709724866072396009125532568658473854902929807876996426479526360973384054924802326307982683023810220504049424355505936014945815182765377511604047298052532114069400313794237310001405511452901286457196334622370358537298305022265093918088488581861966087086961315549441318681745350615128219536965073234794053951071545525185717270958414653067463054845386349213324716147550761039382459617607563617470915792042416793878900444074039270332471774033551976101690740960272343631397630632640503638970079490920884355433321882689858379675825272485167045150101119778588928846655746241360447642520360168552178764966}
23370  78601878168671456463932805962191113518160595260071984246454833509279340249661: {303641,513854,723509,863321,1003061,1307992,1353662,1375349,1471491,1700681,1751775,1839989,1868560,1912814,2102130,2192174,2242272,2350169,2522556,3308174,3874901,4013081,4143662,4197209,4565081,4886549,5253461,5528309,5786584,6259829,6509907,6533621,6801556,6904792,7080341,7171349,7216841,7307801,7625909,7749134,7767891,8022424,8034329,8051955,8125001,8260949,8301662,8442101,8588752,9025227,9028372,9120281,9391049,9662346,9883864,9931721,10149855,10291529,10605941,10826512,11119347,11412629,11604734,11636249,12179826,12427262,12487192,12840341,12914212,12974894,13093179,13230424,13373621,13506761,13601944,13684169,14048091,14082869,14341454,14342415,14348309,14575252,14613461,14834201,14884227,15010649,15128356,15275081,15298576,15302187,15520435,15671189,15890969,15976574,16286069,16461461,16592921,16986869,17118041,17210898,17709747,17889556,17990681,18440932,18512729,18624522,18643061,18686489,18903509,19336949,19441387,19721455,19771694,19942421,20229711,20643556,20847689,21018904,21019721,21120254,21389534,22172050,22323939,22465214,22818329,23270462,23362339,23646267,23665746,23712341,24221621,24306389,24348761,24433481,24804915,24983381,25309795,25411454,25456792,26205209,26296291,26458576,26606460,26876441,26960201,27085781,27277262,27362571,27378521,27773410,27837749,28074734,28212761,28254389,28316452,28380224,28503989,28628681,28638891,28753301,28816255,28836341,28862356,28982355,29085269,29136014,29400974,29765898,29930462,30078101,30200695,30201881,30254104,30371754,30723614,30914512,30943049,30991192,31043092,31312661,31435721,31927752,31968149,32131732,32580809,32773251,32784629,33028949,33147667,33328092,33374770,33435509,33800729,33881801,34035867,34136179,34165301,34246229,34305556,34488821,34491759,34579506,34771481,34778826,34865091,35094041,35214869,35408344,35918721,35978174,35978441,36096151,36156850,36218969,36240834,36511192,36779081,37010427,37018649,37257929,37282814,37297781,37566130,37894601,38013749,38346595,38489621,38583854,38845769,39015775,39043349,39092547,39536266,39676300,39752981,39834387,39881294,40049724,40146101,40224629,40342361,40381589,40577609,41075091,41788469,42105235,42216281,42332789,42488021,42604361,43116184,43143850,43300889,43376047,43388220,43494974,43752014,43763801,44417621,45079356,45359259,45489461,45547262,46015914,46175189,46280768,46706741,46818930,46820441,46971929,46991815,47335454,47353810,47611560,47878169,48104009,48505707,48608414,48629849,48667349,48765970,48823411,48862574,49162899,49191509,49340981,49370462,49415669,49527641,49739095,49940192,50123609,50526282,50532149,50754581,50785664,51087689,51160792,51565930,51567701,51678281,51772620,52065864,52255384,52560329,52742347,53221539,53563005,53665900,54078424,54310601,54383129,54617395,54780850,55130515,55142741,55224128,55395161,55414047,55611209,55667227,55670462,55934741,56182716,56329289,56365109,56390178,56420414,56480380,56627992,56824572,56919662,57133872,57186761,57355864,57418334,57555891,57933269,58252121,58519164,58574097,58676249,58787307,59134421,59467772,59686914,59836661,60046709,60175455,60465941,60605429,60838227,61085794,61127369,61300949,61508981,61544119,61751321,61879116,62080792,62123815,62127144,62544821,62971791,62991449,63111662,63197129,63358975,63379459,63470921,63706491,63895192,64016969,64187152,64275606,64323221,64366435,64399080,64525347,64696649,64899929,64983064,65074094,65440601,65508041,65540874,65737020,65834212,66156618,66214229,66348341,66549269,66616181,67016981,67018471,67216949,67351627,67449881,67648300,67748789,67776456,68013941,68443721,68692352,68839241,69697934,69747730,69823001,69840891,69893037,69986261,70018889,70082619,70119488,70474841,71055850,71058761,71285141,71338939,71446601,71672309,71865461,71882091,72210546,72315029,72347081,72351134,72448965,72482935,72922649,73105947,73313095,73405618,73592827,73595739,73665304,73749449,73844501,74211556,74255561,74508974,74548578,75346210,75355541,75552171,75636809,76030770,76041941,76248513,76290581,76383689,76500291,76600661,76662581,76971701,77239722,77272024,77278896,77310809,78024850,78079454,78148015,78261269,78884424,79173749,79403331,79409956,79498574,79506521,79524610,79597109,79868441,79898549,80677214,80947289,80977109,81099488,81177960,81232024,81617534,81749621,81838409,81956681,82515172,82575509,82624234,82839641,82873467,83100399,83103715,83336789,83424281,83491262,83697276,83747992,83802581,84208469,84293259,84295241,84825304,84953960,85175187,85267020,85873301,86100821,86299481,86516414,86589824,86639129,86892092,86893109,86931027,86938758,86979522,87062069,87074995,87146441,87265420,87455189,87613975,87623189,87920170,87975714,88208921,88744977,88901621,88956821,89128792,89207572,89287262,89328655,89369801,89561909,90190361,90353609,90415452,90625049,90648727,90760469,90894014,90922709,90951488,91003721,91071775,91084661,91125555,91236924,91273241,91325205,91386027,91434569,91488281,91836629,91890101,91952050,91992664,92348815,92607691,92635349,92926409,93148707,93190169,93348041,93399267,93426869,93629820,93777618,93793781,93872201,93895851,94107029,94211189,94216491,94341209,94381042,94527775,94832356,94833461,94962521,95236899,95425481,95428467,95429532,95528009,95573205,95664351,95671934,95885849,96064181,96216610,96798809,96869092,96949961,97025429,97200592,97201241,97250462,97286415,97377556,97413552,97426709,97551689,97651529,97924879,98024789,98232554,98371541,98519669,98667509,98821934,99045854,99060341,99280409,99724458,99791381,99847192,99871808,...,595078508969290661640179630940267920879040728408908127781799565758373384173521802092670466403981208912180445531287175255308021642227145719961825240772654732798701358564795558199470531084449625825897718954254446858512655342665272269342010313799902080624068100711787842578285855681327141112774556785719127902065468930671392686933693797585220844632026291784523423940721323033620217402518162877178192360555642845521532805051603214742681072551354892039739406840579818219854328866824315718234149773095933441641189551911099568990542858967409747447531536715021305972272556749678187815752800717969115900033320124011013098262978573510667567628111708558769138719429906921122770666561035697758508729694717330711526236956803071107933554671213930805961924989136966461698581927927108206848310350059124229522397937492429489341915183012219079672362658430410153261070442326807433006013093208129765121825617777503275262897098129521086107151937352687708272284792634415008091563159937456924303299518575700034874988473000202438605480351824521004063074867583741746651060936781728430453285361757406740984182010870435848648972696727898879265257060300227473290671680276478009949017582762909146489120585767811259064561505024805685293749165292848442203516544383882784745914384462980348548162363769857542286756665286611505774136605170507775120137617506438455595509968503199830846115679049468670472186874013852586680254837183817793807831550495630354933227303326739180949657987642751120372003904869852358883128185044798855324740849248554931217393504760859254458176985915719874721028599261210624489272548377888041947634931260449736124881157041122635091489571811450698424713008502922555804619899660575121274763564613813693644458370585719818105756922156283675699992060583280798815258757676055803255484380170070812676910579008197910640502315683753179749094489279180258286816540600506281644001940263822744567777782586904020572451793395421181594710377718325016365845296959391313316260131335778454667665437030187060086936903524755582944693449545451779383758390277465581841005295229461731497012056028258548161124065114501299494890709663758237158579627597379353797523689969374925123465760833379056677683805036364473032860957140583371106198157491680606054528749074671491482986539288299511976908845405534146801754394145644641490082361554290541189191894400324275010132577780483263423112350671276632825020605186129602593749357450341136987150290652135093337557096762636263964194194797990726308480715329486082673105556720750892428524991197449734289936385605678349759597736716653403246972612673923176291647553931895490482278787764178693560081355559133085907725920562276787738999009124773578206500381718099824866640889794562315480156169774089139312250109696369821859243678803528249077095855677039865131242619591854416789757061264352979620455185795412274973260966288858125266353960127827291516308085303044966164820608080835190635751640044551140129096405093161831077591246410549831341116517551259636580902195965334842476430304394288308310976180521299004893029399596498781089439863962322655830978890268659837730774728851013177538963655146594177252062042248007379584328108564587299108594013688298852987710782354394711815494639719289541460076082387203489461974024535715330756074136533258904022418722774148066267406070947078798171104100470691355965002108267179351929685794501933555537805947457533397640877132732872792949130630441973324161978022618025922692329305447609852191080926607318287778575906437621979601194582268079523819987074221326141559073689426411345426206373688063625190818350666111058905498707661050327964152536111440408515447096445948960755458455119236381326533149982824034787569513737908727750567725151679667883393269983619362040671463780540252828268147449}
23371  78881757706994307658017361516590243607344499636523618211864472676487726716988: {23371,46738,770781,1144493,1634990,1961988,2030493,2335700,2802840,2869221,2989696,3153195,3288261,3363408,3783834,4962261,5063261,5764733,6041693,6215493,7019621,7233230,7515158,8423213,8501945,8630990,8648381,8679876,9400781,9473198,9755702,10028030,10202334,10315838,10357188,10735940,10926293,11217401,11285465,11576621,11623701,11901701,12033636,12354830,12452493,12883128,13386254,13533140,13542558,13736069,13953134,14243021,14493519,14825796,15073118,15608990,15909014,16142765,16239768,16538030,17002430,17040341,17166941,17407101,17457572,17588558,18159269,18219065,18269739,18391541,18474521,18640893,18730788,18910445,18983294,19123220,19371318,19462341,19837661,19845636,20286461,20387798,20402916,20956589,21512181,21862878,22274693,22361945,22692534,22947864,23051165,23151254,23612996,23907533,23964861,24103574,24154841,24580334,24832696,25699742,25804445,25816347,26111453,26273630,26472341,26834334,26922233,26972948,26994269,27050198,27117293,27661398,27877949,27936783,29657541,29765252,30965334,30982301,31054901,31264574,31528356,31554328,31680381,31820990,31893593,31947293,32084301,32287973,32342141,32495534,33073220,33258075,33697821,33937901,34330934,34905693,35335481,35395565,35475280,35498619,35737598,36077945,36483428,36695213,37055981,37726661,37817630,38117181,38185188,38550149,38643140,38738990,38803865,39209102,39555581,39687864,39909690,40071581,40164665,40458902,40495672,40712501,40915893,41592221,41660115,42112101,42279773,42474678,42570336,42881945,43293534,43697668,43704021,44020589,44101461,44260430,44437456,44618669,44648847,44765693,44895693,44955833,45381156,45557631,45560702,45638990,45723461,45989012,46085421,46106008,46371768,46486788,46564638,46725758,46920158,47318621,47353241,47891628,48197598,48305534,48321112,49183541,49260473,49347236,49549493,49595375,49992138,50062155,50147093,50186381,51215069,51458334,51869259,51872981,52123396,52168239,52218422,53112516,53399632,53895230,53967261,54235275,54320693,54361251,54732854,54766788,55908293,55924221,56163758,56349195,56788334,56860181,57523661,57778478,57850960,57875781,58102718,58195769,58266989,59033453,59220974,59304399,59514450,59562101,59821941,59912333,60074586,60105808,60479012,61354552,61912793,62425240,62806742,63482080,63496718,63950990,64149509,64457141,64674276,64715775,65082330,65242461,65319230,65550532,65628021,65665118,65687693,66563669,66940214,67082375,67368376,67598030,67613021,67619034,67869974,68259581,68320893,69023871,69030160,69421152,70228395,70600475,70664894,70784990,70962052,71003181,71030715,71078021,71303321,71403821,71417340,71694830,71745878,71816333,72425561,72912621,73148955,73279493,73293861,73885396,74055693,74199173,74222141,74334715,74910288,75186904,75309989,75766096,75789423,76079102,76178496,76741188,77348895,77600990,77658930,77849981,77987693,78025552,78098796,78383076,78811373,79582552,79774181,79843934,79868990,80136254,80233940,80493581,80498850,80563181,81117636,81228830,81335501,81364181,82171275,82292765,82361102,82505488,82564301,82836192,83013941,83114681,83505693,83680349,83848589,83962388,84274074,84560375,84585267,84630621,84720570,84924053,84941988,85050518,85154582,85236858,85379493,85700808,85865440,86033796,86127501,87366293,87387832,87649360,87689621,87778746,88058047,88208824,88339229,88924493,89201658,89530371,90368608,90800654,91300238,91628691,91955693,92036693,92081630,92764445,92818674,92822741,93121188,93190716,93443492,93531293,93590693,94093718,94251749,94667493,94951961,95821742,95842788,96280728,96413409,96444221,96590030,96598620,97347734,97474596,97611141,97624541,98087621,98127652,98311311,98543141,98605530,98751318,99085181,99234927,99262445,99398104,99973109,...,793438011959054215520239507920357227838720971211877503709066087677831178898029069456893955205308278549573927375049567007077362189636194293282433654363539643731601811419727410932627374779266167767863625272339262478016873790220363025789347085066536107498757467615717123437714474241769521483699409047625503869420625240895190249244925063446961126176035055712697898587628430711493623203357550502904256480740857127362043740068804286323574763401806522719652542454106424293139105155765754290978866364127911255521586069214799425320723811956546329930042048953361741296363408999570917087670400957292154533377760165348017464350638098014223423504148944745025518292573209228163694222081380930344678306259623107615368315942404094810578072894951907741282566652182621948931442570569477609131080466745498972696530583323239319122553577349625439563150211240546871014760589769076577341350790944173020162434157036671033683862797506028114809535916470250277696379723512553344122084213249942565737732691434266713166651297333603251473973802432694672084099823444988995534747915708971240604380482343208987978909347827247798198630262303865172353676080400303297720895573701970679932023443683878861985494114357081678752748673366407580391665553723797922938022059178510379661219179283973798064216485026476723049008887048815341032182140227343700160183490008584607460679958004266441128154238732624893962915832018470115573673116245090391743775400660840473244303071102318907932877316857001493829338539826469811844170913393065140432987798998073241623191339681145672610902647887626499628038132348280832652363397837184055930179908347266314833174876054830180121986095748600931232950678003896741072826532880766828366351419485084924859277827447626424141009229541711567599989414111041065087011676901407737673979173560094416902547438677597214187336420911670906332125985705573677715755387467341708858669253685096992757037043449205360763269057860561575459613836957766688487793729279188417755013508447704606223553916040249413449249204699674110592924599393935705845011187036620775788007060305948975329349408037678064214832086819335065993187612885010982878106170129839138396698253292499900164621014444505408903578406715152630710481276187444494808264209988907474739371665432895321977315385717732682635878460540712195735672525527526188653443148739054054918922525867099033346843437040644351230816467561702177100027473581506136791665809933788182649533720869513457783409462350181685285592259730654301744640953772648110230807408961001189904699988263266312386581847474237799679463648955537870995963483565230901722196738575860653976371717018904924746775140745510781210301227416369050318665345499698104275333842290799766488854519726083087306874893032118852416333479595159762478991571738037665436127807569386486841656826122472555719676081685803972827273581060549699964347955051810833688471946837103055355077447070726621553094144107780254181002186726068186838795206790882441436788328547399775121488690068346182107869594620446456635240405859051077747968240695065339857372532795331708119253151949763541107971853691546450307699638468017570051951540195458903002749389664009839445770811419449732144792018251065137316947709805859615753992852959052721946768109849604652615965366047620441008098848711011872029891630365530755023208094596105064228138800627588474620002811022905802572914392669244740717074596610044530187836176977163723932174173922631098882637363490701230256439073930146469588107902143091050371434541916829306134926109690772698426649432295101522078764919235215127234941831584084833587757800888148078540664943548067103952203381481920544687262795261265281007277940158981841768710866643765379716759351650544970334090300202239557177857693311492482720895285040720337104357529932}
23372  79162627298766906282816149757024721310968751905457681607558054781757506552737: {70107,607282,1027708,1421971,1447018,1726642,1840147,2006122,2396707,2452485,2615984,2707324,2750698,2919625,2942982,3401362,3503550,3679978,3737120,3783067,3825628,4204260,4384348,4484544,4611427,4700338,5045112,5299747,5574571,5675751,6616348,7217467,7626571,7749802,8026162,8287324,8394418,8714347,9130162,9391867,9773098,10506922,10849845,11056618,11272737,11573168,12519658,12946485,13019814,13067242,13419925,13603112,13809584,14160682,14209797,14342698,14349571,14433682,14615602,14633553,15042045,15251818,15276427,15303501,15473757,15498268,15535782,16044848,16068658,16103910,16250002,16521898,16594387,16603324,16884202,16916425,16988371,17177504,18050454,18056744,18240562,18532245,18557827,18688147,18782098,19324692,19767728,19863442,20079381,20299710,20313837,20583058,20634307,20929701,21211882,21653024,21728609,21821965,22179571,22238694,22609677,22825258,23209468,23272498,23413485,23841907,23863521,23904025,24350947,24359652,24807045,24854524,24974384,25503645,25680682,25828424,25949788,26186358,26382837,26460848,26627371,26747242,26878867,27013522,27203888,27368338,27610037,27631627,28096182,28165738,28256947,28474941,28682908,28684830,28696618,29056977,29129371,29150504,29226922,29516245,29668402,29768454,30021298,30256712,30369571,30550162,30581697,30597152,30604374,31040870,31064209,31342378,31356547,31781938,31953148,32572138,32794317,32922922,33185842,33438571,33716185,33973738,34038801,34236082,34421796,34726881,35258371,35419494,35433713,35779112,35981362,36155361,36822427,36870501,36881864,37025458,37206565,37249044,37286122,37301227,37372978,37807018,38017267,38493187,38549613,38673898,38882774,39410445,39442910,39543388,39884842,40251501,40267627,40342757,40385347,40459422,40575297,41287112,41341525,41492097,41695378,42037808,42039442,42240508,42280973,42608347,42779068,43767907,44344100,44460187,44647878,44930428,45604285,45636658,45836971,46179547,46448001,46540924,46635307,46724678,46896861,47292534,47331492,47424682,47543371,47731485,47995981,48303925,48443242,48612778,48671971,48697522,48743301,48866962,49233571,49609830,49793371,49966762,50128387,50619590,50822908,50913584,51262601,51496401,51683227,52410418,52592582,52917152,53212920,53606397,53685233,53752882,53920402,54171562,54554524,54622085,54725142,54757042,55546820,55675498,56149468,56370571,56425522,56508778,56632904,56726445,56760448,57007978,57257362,57277782,57486265,57506602,57632510,57672682,57724712,57964710,58108485,58170538,58272028,58505371,58801948,58813653,58947329,59531796,59860924,59864535,60156202,60401390,60403762,60508208,60688353,60743508,61445707,61447228,61684045,61829024,61886098,61964827,61982384,62086184,62625322,62871442,63712017,63855504,63936298,64263464,64919041,64940301,65041747,65154245,65161618,65546502,65548267,65569258,65750371,65788541,66057898,66254371,66295334,66390645,66656184,66749540,66871018,66956947,67256971,67601458,67763602,68071734,68272358,68330602,68341053,68458485,68492458,68611112,68977642,68983518,69159012,69542962,69557652,69634733,69730182,69731971,69846957,70025947,70088637,70188082,70380237,70429738,70514467,70709371,70816688,71389267,71837442,71956348,71956882,72192302,72296397,72313700,72354427,72437938,72458301,72481668,72642571,73022384,73558162,73883707,74020854,74037298,74156533,74515858,74565628,74595562,74902997,74988207,75132260,75598765,75769387,75789202,76027498,76422571,76464353,76608547,76693190,76979242,77167708,77182721,77187501,77691538,78031550,78086698,78185094,78327633,79000027,79072532,79352600,79505962,79668774,79762588,79816507,79906867,80099448,80292202,80449258,80684722,80763178,80842845,80985571,81155218,81833389,81938165,82099281,82150182,82936267,83576938,84210470,84245637,84432562,84665578,84976042,85110667,85182501,85208722,86232368,86287700,86601778,86667717,86752094,86776440,86973341,86989948,87154077,87504028,87527602,88702565,88831461,88835242,88993987,89271675,89571571,90111879,90113009,90158712,90718518,90959587,90978922,91094524,91766347,92031828,92350378,92356745,92561536,92645467,93413482,93437107,93637860,93640882,93943858,93983630,94210113,94670908,94707620,95223120,95245077,95756338,95926485,96074827,96208018,97011414,97212067,97216828,97259698,97334698,97531940,97587547,97623495,97646822,97662427,97725148,97978845,98325798,98383018,98497677,98555371,98681962,98740924,98831338,99055282,99291571,99478190,99802627,99880384,...,1190157017938581323280359261880535841758081456817816255563599131516746768347043604185340932807962417824360891062574350510616043284454291439923650481545309465597402717129591116398941062168899251651795437908508893717025310685330544538684020627599804161248136201423575685156571711362654282225549113571438255804130937861342785373867387595170441689264052583569046847881442646067240434805036325754356384721111285691043065610103206429485362145102709784079478813681159636439708657733648631436468299546191866883282379103822199137981085717934819494895063073430042611944545113499356375631505601435938231800066640248022026196525957147021335135256223417117538277438859813842245541333122071395517017459389434661423052473913606142215867109342427861611923849978273932923397163855854216413696620700118248459044795874984858978683830366024438159344725316860820306522140884653614866012026186416259530243651235555006550525794196259042172214303874705375416544569585268830016183126319874913848606599037151400069749976946000404877210960703649042008126149735167483493302121873563456860906570723514813481968364021740871697297945393455797758530514120600454946581343360552956019898035165525818292978241171535622518129123010049611370587498330585696884407033088767765569491828768925960697096324727539715084573513330573223011548273210341015550240275235012876911191019937006399661692231358098937340944373748027705173360509674367635587615663100991260709866454606653478361899315975285502240744007809739704717766256370089597710649481698497109862434787009521718508916353971831439749442057198522421248978545096755776083895269862520899472249762314082245270182979143622901396849426017005845111609239799321150242549527129227627387288916741171439636211513844312567351399984121166561597630517515352111606510968760340141625353821158016395821281004631367506359498188978558360516573633081201012563288003880527645489135555565173808041144903586790842363189420755436650032731690593918782626632520262671556909335330874060374120173873807049511165889386899090903558767516780554931163682010590458923462994024112056517096322248130229002598989781419327516474317159255194758707595047379938749850246931521666758113355367610072728946065721914281166742212396314983361212109057498149342982965973078576599023953817690811068293603508788291289282980164723108581082378383788800648550020265155560966526846224701342553265650041210372259205187498714900682273974300581304270186675114193525272527928388389595981452616961430658972165346211113441501784857049982394899468579872771211356699519195473433306806493945225347846352583295107863790980964557575528357387120162711118266171815451841124553575477998018249547156413000763436199649733281779589124630960312339548178278624500219392739643718487357607056498154191711354079730262485239183708833579514122528705959240910371590824549946521932577716250532707920255654583032616170606089932329641216161670381271503280089102280258192810186323662155182492821099662682233035102519273161804391930669684952860608788576616621952361042598009786058799192997562178879727924645311661957780537319675461549457702026355077927310293188354504124084496014759168656217129174598217188027376597705975421564708789423630989279438579082920152164774406978923948049071430661512148273066517808044837445548296132534812141894157596342208200941382711930004216534358703859371589003867111075611894915066795281754265465745585898261260883946648323956045236051845384658610895219704382161853214636575557151812875243959202389164536159047639974148442652283118147378852822690852412747376127250381636701332222117810997415322100655928305072222880817030894192891897921510916910238472762653066299965648069575139027475817455501135450303359335766786539967238724081342927561080505656536294898}
23373  79444490423296750131324784259376777107990819383266802878733418457130345138372: {46742,93476,910923,1284635,1541562,2170527,2288986,2589963,3009183,3269980,3384155,3923976,4060986,4126047,4414473,4671400,4782035,5102043,5255325,5480435,5519967,5605680,5738442,5904767,5979392,6306390,6576522,6726816,6744971,7050507,7443227,7567668,8270435,9123203,9924522,10126522,10359155,10517771,11500211,11529466,11624703,11902723,12039243,12083386,12339983,12430986,12591627,13695243,14039242,14466460,14659647,15030316,15555107,15760383,15799651,16584927,16846426,17003890,17261980,17296762,17359752,18190271,18779487,18801562,18946396,19045087,19372835,19511404,19529721,19600863,20056060,20288203,20404668,20631676,20714376,20754155,21241023,21253727,21471880,21514047,21650523,21852586,21923403,22401871,22434802,22570930,22599871,22877727,23153242,23247402,23303673,23366891,23803402,24067272,24102987,24155865,24375003,24709660,24782847,24904986,25326303,25506691,25766256,26474623,26772508,26996587,27066280,27075681,27085116,27360843,27472138,27906268,28173147,28399043,28486042,28987038,29011835,29651592,29795163,30146236,30449565,30874587,31068155,31217980,31306723,31605887,31753811,31817823,31818028,32271631,32285530,32437235,32479536,32946667,33076060,33358041,34004860,34080682,34237887,34333882,34814202,34908747,34915144,35177116,35798267,35853635,36126223,36318538,36438130,36539478,36783082,36949042,37059163,37281786,37461576,37820890,37966588,38014607,38246440,38521023,38742636,38924682,39152171,39279537,39675322,39691272,39941435,40120863,40520283,40572922,40775596,40805832,41052507,41913178,42144273,42248607,43024362,43027245,43044927,43725756,43840383,44128667,44502603,44549386,44652681,44723890,45031947,45385068,45502207,45559267,45825243,45895728,45906561,46102330,46302508,46561305,47013567,47225992,47357323,47672907,47815066,47929722,48207148,48309682,48858207,49154443,49160668,49384383,49429235,49553791,49665392,49778763,50509123,50585267,50960607,51354123,51399484,51423311,51608890,51632694,52222906,52547260,52657747,52800635,52944682,53129241,53473835,53668668,53844466,53945896,53972043,53988538,54100396,54234586,54325411,55322796,55430125,55538187,55755898,55873566,55929183,56046751,56059467,56163035,56230531,56710527,57683851,58010847,58126003,58176155,58324161,59164365,59315082,59530504,59827263,60034723,60689133,61034587,61930668,61964602,62109802,62529148,62543067,63056712,63059163,63108656,63360762,63528635,63641980,63787186,63894586,64168602,64575946,64684282,64991068,65833571,66146440,66516150,66569407,66825407,66971817,67395642,67875802,68193155,68454987,68661868,68860987,69196651,69433525,69811386,70087017,70186835,70670962,70791130,70938801,70950560,70997238,71137023,71343371,71475196,72155890,72664863,72840035,72919167,72966856,73046283,73300443,73390426,73502435,74111962,74414745,74826155,74950143,75453322,75635260,75929385,76234362,76370376,76809035,77100298,77286280,77477980,77559491,77607730,78418204,78615627,78888873,78983647,79111162,79375728,79509827,79691947,79819380,80143162,80329330,80629323,80880603,80917804,80991344,81257343,81425002,81831786,82087713,82135563,83184442,83320230,83436925,83513247,84224202,84559546,84638283,84763167,84949356,85140672,85511967,85763890,85886043,85916673,86259903,86448765,86509023,86516971,86587068,86947065,87255807,87395336,87408042,88041178,88202922,88520860,88874912,89237338,89297694,89531386,89791386,89911666,89945435,90234303,90392125,90602085,90605643,90762312,90838847,91115262,91121404,91277980,91446922,91978024,92004523,92170842,92212016,92743536,92780287,92829147,92973576,93129276,93207035,93451516,93674491,93840316,93915325,93924371,93937983,94307163,94637242,94706482,95783256,95904447,96395196,96459635,96611068,96642224,97742427,98006047,98301467,98319753,98353887,98367082,98520946,98694472,98840665,99086847,99093787,99098986,99190750,99443001,99703235,99981727,99984276,...,1785235526907871984920538892820803762637122185226724383345398697275120152520565406278011399211943626736541336593861525765924064926681437159885475722317964198396104075694386674598411593253348877477693156862763340575537966027995816808026030941399706241872204302135363527734857567043981423338323670357157383706196406792014178060801081392755662533896078875353570271822163969100860652207554488631534577081666928536564598415154809644228043217654064676119218220521739454659562986600472947154702449319287800324923568655733298706971628576902229242342594610145063917916817670249034563447258402153907347700099960372033039294788935720532002702884335125676307416158289720763368311999683107093275526189084151992134578710870409213323800664013641792417885774967410899385095745783781324620544931050177372688567193812477288468025745549036657239017087975291230459783211326980422299018039279624389295365476853332509825788691294388563258321455812058063124816854377903245024274689479812370772909898555727100104624965419000607315816441055473563012189224602751225239953182810345185291359856085272220222952546032611307545946918090183696637795771180900682419872015040829434029847052748288727439467361757303433777193684515074417055881247495878545326610549633151648354237743153388941045644487091309572626860269995859834517322409815511523325360412852519315366786529905509599492538347037148406011416560622041557760040764511551453381423494651486891064799681909980217542848973962928253361116011714609557076649384555134396565974222547745664793652180514282577763374530957747159624163085797783631873467817645133664125842904793781349208374643471123367905274468715434352095274139025508767667413859698981725363824290693841441080933375111757159454317270766468851027099976181749842396445776273028167409766453140510212438030731737024593731921506947051259539247283467837540774860449621801518844932005820791468233703333347760712061717355380186263544784131133154975049097535890878173939948780394007335364002996311090561180260810710574266748834080348636355338151275170832396745523015885688385194491036168084775644483372195343503898484672128991274711475738882792138061392571069908124775370397282500137170033051415109093419098582871421750113318594472475041818163586247224014474448959617864898535930726536216602440405263182436933924470247084662871623567575683200972825030397733341449790269337052013829898475061815558388807781248072351023410961450871956405280012671290287908791892582584393972178925442145988458248019316670162252677285574973592349202869809156817035049278793210149960209740917838021769528874942661795686471446836363292536080680244066677399257723177761686830363216997027374320734619501145154299474599922669383686946440468509322267417936750329089109465577731036410584747231287567031119595393727858775563250369271183793058938861365557386236824919782898866574375799061880383481874548924255909134898494461824242505571907254920133653420387289215279485493232773739231649494023349552653778909742706587896004527429290913182864924932928541563897014679088198789496343268319591886967967492936670805979513192324186553039532616890965439782531756186126744022138752984325693761897325782041064896558963132347063184135446483919157868624380228247161610468385922073607145992268222409599776712067256168322444198802218212841236394513312301412074067895006324801538055789057383505800666613417842372600192922631398198618378847391891325919972485934067854077768076987916342829556573242779821954863335727719312865938803583746804238571459961222663978424677221068279234036278619121064190875572455051998333176716496122983150983892457608334321225546341289337846882266375365357709143979599449948472104362708541213726183251703175455039003650179809950858086122014391341620758484804442347}
23374  79727350572038397002857699610515169604444395741355042591167106811269555133964: {70113,116845,140214,397069,956653,1096369,1214564,1236013,1933153,2055416,2312343,2843942,2894036,3433479,3453284,3680294,4012244,4013773,4087475,4793414,4904970,5231968,5414648,5501396,5839250,5885964,5941069,6091479,6762733,6802724,7007100,7172593,7309069,7359956,7474240,7566134,7651256,7990369,8126413,8408520,8607663,8768696,8969088,9212173,9222854,9400676,9459585,9864783,9888433,10090224,10599494,10697569,11149142,11351502,11504113,11906413,12709069,12842593,13232696,13375969,14434934,14704369,14836813,14886783,15189783,15253142,15365869,15497953,15499604,16052324,16574648,16788836,17208493,17294199,17428694,18083075,18125079,18260324,18646479,18783734,18787895,19426993,19546196,21013844,21058863,21109453,21577475,21699690,21881869,22010353,22113236,22545474,23035633,23146336,23682995,24310753,24389255,24437869,24564913,25039316,25070075,25269639,25505835,25789595,25892970,25945143,26039628,26134484,26209933,26839850,26965069,27206224,27619168,28202343,28321364,28342753,28419594,28685396,28699142,28716973,28841569,28867364,29231204,29267106,29959693,30084090,30503636,30550751,30552854,30607002,30887075,30947514,30996536,31071564,32089696,32137316,32207820,32423533,32500004,32668333,32778879,33034993,33043796,33188774,33206648,33279073,33465635,33652203,33768404,33832850,33856395,33888013,33976742,34252513,34355008,34729863,34858573,34871103,34882835,34979569,35583469,35705103,36100908,36113488,36481124,36712247,37064490,37115654,37357479,37376294,37564196,37682795,38575969,38649384,39022475,39050593,39535456,39726884,39772535,40158762,40232113,40599420,40627674,40937569,41166116,41208207,41268614,41322743,41345075,41859402,42224173,42423764,42506075,42689869,42729063,43270369,43306048,43457218,43480557,43643930,43971395,44359142,44477388,45219354,45650516,45688813,46418936,46544996,46826970,47202659,47458235,47683814,47727042,47808050,47849569,47962573,48428295,48701894,48719304,49425073,49537069,49614090,49709048,49948768,50207533,50541793,50969495,51007290,51121023,51361364,51500823,51656848,51761869,51899576,52089191,52221303,52372716,52765674,52921696,53254742,53494484,53642567,53757734,54027044,54393613,54407776,54477807,54657195,54736676,54809217,55045069,55174623,55220074,55263254,55423563,55693933,55922679,56017393,56192364,56331476,56513894,56722523,56731335,56949882,57365816,57369660,57393236,57878135,58113954,58258742,58301008,58387023,58453844,59032490,59321869,59336804,59512983,59536908,60042596,60258935,60477793,60513424,60739142,60859383,61100324,61163394,61194304,61208748,61450835,61832653,62081740,62128418,62684756,62713094,62869767,63563876,63845999,63906296,64249355,64403953,64536543,65144276,65419873,65521069,65588634,65684075,65845844,66371684,66629473,66824079,66877142,67085835,67432370,67625495,67947476,68077602,68126893,68472164,68843592,68918893,69153495,69453762,70098253,70516742,70838988,70867426,70878733,71557873,71558224,71722599,71894583,71962724,72310722,72425869,72464523,73644854,73741002,73763728,74050916,74333869,74413130,74428513,74498088,74572244,74602454,74712013,74745956,74900653,75614036,76034534,76119793,76213069,76470919,76678369,76722503,76986374,77099226,77347796,77413335,77449041,77511373,77765548,78161435,78334359,78612973,78820890,78885820,79086776,79417023,79552475,79769684,80480771,80503002,80535254,80685514,80695393,80766699,80770694,80785069,80918844,80982807,81150594,81238835,81321613,81351879,82563469,82574224,82683050,82880831,82984194,83091373,83390756,83633847,83810349,84075616,84078884,84313069,84399793,84481016,84561946,85216694,85558136,85827335,86357663,86968033,87389773,87477071,87535814,87639539,87809713,88688200,88920374,88972623,88975969,89295756,89343995,89860856,90128113,90942433,91208570,91215943,91273316,91508173,91673942,91910113,92150413,92359094,92896002,92946903,93025969,93081848,93164703,93270614,93449356,93793722,94544075,94585068,94662984,94849364,94906033,95041143,95086742,95462970,95680779,95753869,95841879,95991962,96212653,96252903,96607850,96712187,96847475,96863919,96886484,96895969,96971533,97026423,97225556,97273069,97343942,97395044,97486602,97733924,97947313,98022755,98096353,98467142,99219660,99424753,99586742,99774225,99933524,...,2380314035877162646560718523761071683516162913635632511127198263033493536694087208370681865615924835648721782125148701021232086568908582879847300963090618931194805434259182232797882124337798503303590875817017787434050621370661089077368041255199608322496272402847151370313143422725308564451098227142876511608261875722685570747734775190340883378528105167138093695762885292134480869610072651508712769442222571382086131220206412858970724290205419568158957627362319272879417315467297262872936599092383733766564758207644398275962171435869638989790126146860085223889090226998712751263011202871876463600133280496044052393051914294042670270512446834235076554877719627684491082666244142791034034918778869322846104947827212284431734218684855723223847699956547865846794327711708432827393241400236496918089591749969717957367660732048876318689450633721640613044281769307229732024052372832519060487302471110013101051588392518084344428607749410750833089139170537660032366252639749827697213198074302800139499953892000809754421921407298084016252299470334966986604243747126913721813141447029626963936728043481743394595890786911595517061028241200909893162686721105912039796070331051636585956482343071245036258246020099222741174996661171393768814066177535531138983657537851921394192649455079430169147026661146446023096546420682031100480550470025753822382039874012799323384462716197874681888747496055410346721019348735271175231326201982521419732909213306956723798631950571004481488015619479409435532512740179195421298963396994219724869574019043437017832707943662879498884114397044842497957090193511552167790539725041798944499524628164490540365958287245802793698852034011690223218479598642300485099054258455254774577833482342879272423027688625134702799968242333123195261035030704223213021937520680283250707642316032791642562009262735012718996377957116721033147266162402025126576007761055290978271111130347616082289807173581684726378841510873300065463381187837565253265040525343113818670661748120748240347747614099022331778773798181807117535033561109862327364021180917846925988048224113034192644496260458005197979562838655032948634318510389517415190094759877499700493863043333516226710735220145457892131443828562333484424792629966722424218114996298685965931946157153198047907635381622136587207017576582578565960329446217162164756767577601297100040530311121933053692449402685106531300082420744518410374997429801364547948601162608540373350228387050545055856776779191962905233922861317944330692422226883003569714099964789798937159745542422713399038390946866613612987890450695692705166590215727581961929115151056714774240325422236532343630903682249107150955996036499094312826001526872399299466563559178249261920624679096356557249000438785479287436974715214112996308383422708159460524970478367417667159028245057411918481820743181649099893043865155432501065415840511309166065232341212179864659282432323340762543006560178204560516385620372647324310364985642199325364466070205038546323608783861339369905721217577153233243904722085196019572117598385995124357759455849290623323915561074639350923098915404052710155854620586376709008248168992029518337312434258349196434376054753195411950843129417578847261978558877158165840304329548813957847896098142861323024296546133035616089674891096592265069624283788315192684416401882765423860008433068717407718743178007734222151223789830133590563508530931491171796522521767893296647912090472103690769317221790439408764323706429273151114303625750487918404778329072318095279948296885304566236294757705645381704825494752254500763273402664444235621994830644201311856610144445761634061788385783795843021833820476945525306132599931296139150278054951634911002270900606718671533573079934477448162685855122161011313072589796}
23375  80011211248635594692323137846880859772333209206067290530769332618258458564674: {93484,186952,210321,1518205,1798489,1821846,2569270,3083124,3617545,4265913,4316605,4341054,4577972,4737817,5015305,5179926,5520441,6018366,6539960,6694849,6768310,6876745,6978361,7190121,7357455,7538497,7672609,7847952,7956553,8121972,8252094,8503405,8758875,8796541,8828946,9199945,9342800,9494089,9564070,10196521,10204086,10510650,10960870,11030833,11039934,11211360,11349201,11476884,11578609,11750845,11809534,11958784,12293329,12430093,12612780,12853177,13153044,13453632,13489942,13590313,13834281,14101014,14502817,14668909,14886454,15135336,15899241,16540870,16627873,16723713,17027253,17169889,18191833,18246406,18625489,18702673,19374505,19849044,20065405,20253044,20718310,20986045,21035542,21497593,21652401,21982273,22825405,22879713,23000422,23058932,23249406,23805446,24078486,24158989,24166772,24432745,24679966,24861972,25118041,25183254,26115937,26143041,26267305,26528449,27121969,27390486,27641545,28078484,28175601,28900993,28932920,29055817,29319294,30060632,31110214,31263697,31299145,31520766,31599302,31608601,32549535,32668105,32677273,33169854,33692852,33818211,33943729,34007780,34523960,34593524,34719504,35003089,35205997,35341549,35401705,35801341,35856745,36084205,36380542,36539005,37558974,37603124,37892792,38090174,38129545,38267113,38745670,38839455,39022808,39059442,39085441,39155533,39201726,40112120,40171645,40259775,40503049,40576406,40616569,40625005,40809336,41062033,41263352,41304745,41428752,41508310,41599393,42210505,42293569,42482046,42507454,42612889,42629391,42943760,43028094,43048713,43301046,43495417,43705172,43846806,43900659,44420521,44803742,44869604,45126135,45141860,45199742,45231097,45412129,45601405,45755454,45829281,45910503,46306484,46421271,46494804,46607346,46733782,46955245,47606804,48134544,48205974,48311730,48686473,48750006,49419320,49565694,49658605,49783161,49809972,50195089,50202889,50652606,50749275,50818057,50965113,51013382,51457645,51532512,51726529,52152061,52949246,53029705,53052841,53545016,53993174,54012073,54132560,54151362,54170232,54721686,54944276,55596735,55673481,55812536,55918009,56064441,56346294,56798086,56972084,57063145,57974076,58023670,58181245,58788397,59284753,59303184,59590326,60238143,60292472,60899130,60941511,61749174,61902921,61923469,62136310,62435960,62613446,62789103,63211774,63507622,63635646,63636056,64201705,64524937,64543262,64571060,64874470,64959072,65185827,65362621,65465895,65893334,66152120,66538713,66716082,66868105,67533805,67829031,68009720,68161364,68420845,68475774,68667764,69200929,69628404,69817494,69830288,70240455,70346089,70354232,70414345,71525721,71590563,71596534,71707270,71712075,71741545,71851153,72252446,72637076,72876260,73052841,73067305,73078956,73566164,73578697,73898084,73920889,74118326,74171005,74357833,74421135,74563572,74863369,74923152,75053245,75223249,75641780,75933176,76029214,76375405,76492880,76510935,77042046,77485272,77602175,77849364,77863489,78304342,78346897,78355945,78559074,78628249,78864313,78975481,79123153,79148511,79350644,79382544,79454845,79516681,79882113,79882870,80241726,80577073,80636601,81040566,81145844,81430345,81446617,81551192,81611664,82105014,82307305,82830111,82894881,82964605,83826356,84288546,84314893,84497214,84770841,84934345,85361089,85424823,85590205,86048724,86054490,86089854,86684137,86935561,87170931,87388113,87451512,87493513,87680766,87855889,88257334,88548735,88940089,89005206,89098772,89262529,89305362,89351713,89447780,89953405,90063894,90770136,91004414,91108713,91118534,91650486,91745091,91791456,91813122,92204660,92209357,92563645,92605016,93122610,93192627,93215305,93432445,94027134,94069641,94451984,94517545,94710349,94714646,95345814,95403241,95470417,95630132,95859444,96414296,96619364,96684745,97206935,97716414,98261569,98308886,98321336,98382951,98607275,98768766,98858470,99107582,99330784,99557526,99712105,...,3570471053815743969841077785641607525274244370453448766690797394550240305041130812556022798423887253473082673187723051531848129853362874319770951444635928396792208151388773349196823186506697754955386313725526681151075932055991633616052061882799412483744408604270727055469715134087962846676647340714314767412392813584028356121602162785511325067792157750707140543644327938201721304415108977263069154163333857073129196830309619288456086435308129352238436441043478909319125973200945894309404898638575600649847137311466597413943257153804458484685189220290127835833635340498069126894516804307814695400199920744066078589577871441064005405768670251352614832316579441526736623999366214186551052378168303984269157421740818426647601328027283584835771549934821798770191491567562649241089862100354745377134387624954576936051491098073314478034175950582460919566422653960844598036078559248778590730953706665019651577382588777126516642911624116126249633708755806490048549378959624741545819797111454200209249930838001214631632882110947126024378449205502450479906365620690370582719712170544440445905092065222615091893836180367393275591542361801364839744030081658868059694105496577454878934723514606867554387369030148834111762494991757090653221099266303296708475486306777882091288974182619145253720539991719669034644819631023046650720825705038630733573059811019198985076694074296812022833121244083115520081529023102906762846989302973782129599363819960435085697947925856506722232023429219114153298769110268793131948445095491329587304361028565155526749061915494319248326171595567263746935635290267328251685809587562698416749286942246735810548937430868704190548278051017535334827719397963450727648581387682882161866750223514318908634541532937702054199952363499684792891552546056334819532906281020424876061463474049187463843013894102519078494566935675081549720899243603037689864011641582936467406666695521424123434710760372527089568262266309950098195071781756347879897560788014670728005992622181122360521621421148533497668160697272710676302550341664793491046031771376770388982072336169551288966744390687007796969344257982549422951477765584276122785142139816249550740794565000274340066102830218186838197165742843500226637188944950083636327172494448028948897919235729797071861453072433204880810526364873867848940494169325743247135151366401945650060795466682899580538674104027659796950123631116777615562496144702046821922901743912810560025342580575817583785165168787944357850884291976916496038633340324505354571149947184698405739618313634070098557586420299920419481835676043539057749885323591372942893672726585072161360488133354798515446355523373660726433994054748641469239002290308598949199845338767373892880937018644534835873500658178218931155462072821169494462575134062239190787455717551126500738542367586117877722731114772473649839565797733148751598123760766963749097848511818269796988923648485011143814509840267306840774578430558970986465547478463298988046699105307557819485413175792009054858581826365729849865857083127794029358176397578992686536639183773935934985873341611959026384648373106079065233781930879565063512372253488044277505968651387523794651564082129793117926264694126368270892967838315737248760456494323220936771844147214291984536444819199553424134512336644888397604436425682472789026624602824148135790012649603076111578114767011601333226835684745200385845262796397236757694783782651839944971868135708155536153975832685659113146485559643909726671455438625731877607167493608477142919922445327956849354442136558468072557238242128381751144910103996666353432992245966301967784915216668642451092682578675693764532750730715418287959198899896944208725417082427452366503406350910078007300359619901716172244028782683241516969608884694}
23376  80296075968963556140864082335618193528237858281859810833514168664991464166422: {116855,140226,163583,233690,280428,443783,794138,863543,1003319,1840463,1913306,1933319,2192738,2258063,2429128,2472026,2489783,2732769,3460823,3853905,3866306,3875903,4014119,4110832,4152263,4624686,5392319,5687884,5722465,5788072,6398423,6511581,6866958,6906568,7218719,7309703,7360588,7764143,7769889,7991063,8024488,8027546,8036423,8174950,8263103,8580119,8806319,9027549,9586828,9809940,9934319,10069343,10152465,10463936,10829296,11002792,11415623,11678500,11771928,11882138,11952119,12182958,12378141,12977183,13243419,13510319,13525466,13605448,13643423,13820783,14014200,14345186,14346105,14618138,14719912,14948480,14970503,15132268,15302512,15306129,15367223,15765975,15980738,16252826,16441305,16559901,16597319,16728743,16817040,17122583,17215326,17537392,17714301,17938176,18256703,18424346,18445708,18648023,18801352,18919170,19729566,19776866,20180448,20234913,20379383,20853263,21151521,21198988,21395138,21669503,22298284,22329681,22568303,22703004,23008226,23080319,23812826,23846183,24355319,24440063,24567119,24811305,24863303,25116863,25316305,25418138,25685186,26303053,26338343,26465392,26751938,26967503,27093119,27218663,27369609,28345319,28636463,28761119,28823665,28869868,29408738,29673626,29773566,30208465,30210119,30379566,30506284,30731738,30745823,30995906,30999208,31077465,31444319,31553313,31567343,31731263,32104648,32467319,33149296,33156193,33577672,34012703,34144957,34416986,34500633,34588398,34857388,34874109,35023103,35098105,35224583,35586743,35708169,36105433,36108719,36117729,36166150,36250158,36520648,36709319,37019949,37292958,37567468,37575790,37774881,38024303,38381423,38579543,38619143,38853986,39092392,39764063,40275119,40353623,40588943,41085729,42027688,42116065,42117726,42218906,42344663,42509725,42616319,42693863,42732623,43154950,43241905,43313063,43387201,43399380,43763738,43776119,43968719,43978941,44020706,44226472,44660423,45090948,45234863,46071266,46292672,46665321,46719983,46833719,46851889,47003905,47281149,47287943,47365990,47398953,47891783,48230543,48621506,48643703,48778510,48835969,48875738,49129826,49541783,49754781,50078632,50140150,50212319,50539278,50657903,51011670,51028343,51213263,51579190,51693119,51766823,51785940,51890286,52079256,52245119,52268968,52419866,52755913,53679700,53930138,54326303,54412448,54570813,54616319,54631465,55050383,55086503,55238336,55519319,55681549,56058719,56087005,56338461,56404686,56427325,56642728,56685506,56703623,56839188,57135261,57203423,57370792,57398284,57433946,57683138,57734728,57883105,58118505,58198319,58375319,58462408,58534212,58589163,58802589,59327663,59508505,59919386,60168180,60588383,60864609,61007272,61101502,61105708,61214004,61457783,61527119,61559953,61774150,61895028,61977023,61993072,62143128,62262465,62494463,62666543,63395761,63723069,63761181,64179392,64274632,64415640,64542141,64614119,64847066,64951569,65000008,65054663,65336666,65460119,65557758,65561303,65770209,66069986,66087592,66377548,66413296,66441529,66468719,66558146,66736463,66931270,67035709,67037063,67205613,67304406,67536808,67665700,67712790,67776026,67799613,67953484,68133719,68505026,68633181,68680345,68710016,68728223,68859983,68958719,69459726,69717146,69742206,69765670,69911019,69959138,70100673,70105319,70496183,70918319,71166938,71215105,71357293,71403719,71410206,71468303,71565119,71790743,72144503,72201816,72226976,72308961,72433223,72467595,72962248,73125009,73424494,73867103,74057063,74128980,74231308,74278319,74348541,74714958,74751119,74752588,74908319,75128392,75365590,75978909,76065383,76251983,76407263,76520073,76624319,76686263,77151938,77298768,77334743,77550119,78044950,78101186,78377183,79070912,79423869,79440623,79453768,79545070,79621943,79893383,80317524,80464226,80713825,80823383,80989761,81029389,81198840,81227043,81255348,81864143,81875138,81982463,82082529,82332232,82416414,82537228,82601543,82645486,82690150,82953719,83450663,83718804,84321983,84362509,84408719,84448346,84519441,84847528,85012150,85042583,85186103,85197129,85201705,85379738,85458126,85834705,86031169,86128319,86412119,86540738,86612096,86914436,86961114,87035505,87174383,87258719,87287860,87942790,88598303,88718284,88930319,88954776,89013143,89068319,89385489,89949097,90438708,90672049,90789983,90796345,90979319,91033343,91095325,91114319,91301032,91348695,91377626,91957705,92000303,92187119,92372605,92623761,92631517,92837872,93036143,93089992,93204465,93299783,93457583,93653940,93824663,93903119,93920169,94405318,94552225,94675693,94817661,94864823,94916470,94942319,95261433,95367628,95453469,95454084,95534063,95616100,95699138,95925146,96223319,96814893,96856590,96906743,97057823,97283903,97308983,97311705,97403788,97438608,97534343,97950073,98840001,98850146,99074138,99167183,99188305,99228180,99418096,99897536,...,5355706580723615954761616678462411287911366555680173150036196091825360457561696218834034197635830880209624009781584577297772194780044311479656427166953892595188312227083160023795234779760046632433079470588290021726613898083987450424078092824199118725616612906406090583204572701131944270014971011071472151118589220376042534182403244178266987601688236626060710815466491907302581956622663465894603731245000785609693795245464428932684129652962194028357654661565218363978688959801418841464107347957863400974770705967199896120914885730706687727027783830435191753750453010747103690341775206461722043100299881116099117884366807161596008108653005377028922248474869162290104935999049321279826578567252455976403736132611227639971401992040925377253657324902232698155287237351343973861634793150532118065701581437431865404077236647109971717051263925873691379349633980941266897054117838873167886096430559997529477366073883165689774964367436174189374450563133709735072824068439437112318729695667181300313874896257001821947449323166420689036567673808253675719859548431035555874079568255816660668857638097833922637840754270551089913387313542702047259616045122488302089541158244866182318402085271910301331581053545223251167643742487635635979831648899454945062713229460166823136933461273928717880580809987579503551967229446534569976081238557557946100359589716528798477615041111445218034249681866124673280122293534654360144270483954460673194399045729940652628546921888784760083348035143828671229948153665403189697922667643236994380956541542847733290123592873241478872489257393350895620403452935400992377528714381344047625123930413370103715823406146303056285822417076526303002241579096945176091472872081524323242800125335271478362951812299406553081299928545249527189337328819084502229299359421530637314092195211073781195764520841153778617741850403512622324581348865404556534796017462374404701110000043282136185152066140558790634352393399464925147292607672634521819846341182022006092008988933271683540782432131722800246502241045909066014453825512497190236569047657065155583473108504254326933450116586030511695454016386973824134427216648376414184177713209724374326111191847500411510099154245327280257295748614265250339955783417425125454490758741672043423346878853594695607792179608649807321215789547310801773410741253988614870702727049602918475091193200024349370808011156041489695425185446675166423343744217053070232884352615869215840038013870863726375677747753181916536776326437965374744057950010486758031856724920777047608609427470451105147836379630449880629222753514065308586624827985387059414340509089877608242040732200032197773169533285060491089650991082122962203858503435462898423799768008151060839321405527966802253810250987267328396733193109231754241693862701093358786181183576326689751107813551379176816584096672158710474759348696599723127397185641150445623646772767727404695483385472727516715721764760400960261161867645838456479698321217694948482070048657961336729228119763688013582287872739548594774798785624691691044037264596368489029804958775660903902478810012417938539576972559659118597850672896319347595268558380232066416258952977081285691977346123194689676889397041189552406339451757473605873140684741484831405157766220821437976804667228799330136201768504967332596406654638523709183539936904236222203685018974404614167367172150517401999840253527117800578767894194595855136542175673977759917457802203562233304230963749028488669719728339465864590007183157938597816410751240412715714379883667991935274031663204837702108835857363192572626717365155994999530149488368949452951677372825002963676639023868013540646799126096073127431938798349845416313088125623641178549755109526365117010950539429852574258366043174024862275454413327041}
23377  80581948261171380244741220901190675989479029326593215313119578740666999523048: {186968,210339,350535,373904,420642,1191207,2125487,2869959,3036410,3289107,3596978,3643692,3708039,5064563,5138540,5799459,6043247,6166248,6937029,7021427,7109855,7235090,8425379,8531826,8633210,8682108,9155944,9200735,9403199,9475634,9627443,10030610,10300437,10359852,11040882,11220287,11904767,11983535,12036732,12041319,12262425,12879923,13036439,13079920,13389698,13536620,13739603,13753490,13956722,14380242,14598125,14714910,15076994,15345218,15695904,15913106,16061279,16243944,16394663,16451183,16504188,17006810,17517750,17593082,17657892,17823207,18274437,18399890,18685600,18704279,18915335,18988178,19128140,20288199,20291687,20393042,20408172,20816723,21021300,21499439,21517779,21921740,21927207,22061666,22079868,22103159,22422720,22698402,22953768,23054579,23057135,23157218,23501690,23619068,23917568,23971107,24379239,24586658,24828023,24860186,25012703,25225560,25706354,25822989,26306088,26498735,26530727,26907264,26979884,27001223,27124307,27180626,27636519,27668562,27872855,28091567,28202028,28378755,29005634,29337818,29380463,29594349,29649443,29665299,29772908,30270672,31798482,31955567,32092707,32680079,33081740,33255746,33447426,34054506,34155719,34205843,34339778,34512339,34941779,35514083,35719239,36087335,36383666,36492812,36774227,37065527,37250978,37405346,38127207,38132855,38270399,38527779,38698163,38749010,39347879,39698088,40081943,40127907,40130810,40506088,40506527,41065559,41367287,41436620,41602979,41972090,42071084,42995186,43065059,43084103,43304802,43571735,43818803,43964546,44113107,44510439,44660349,45569349,45650810,45735347,45759426,46000844,46097607,46117864,46493859,46498812,46959335,47269283,47610892,48156972,48317978,48333544,48350483,48865490,49162919,49196279,49359932,49562387,49723944,50199443,50236082,50360687,50366508,50517887,50712563,51154607,51625479,51882597,52231874,52286082,52534610,52540703,53056898,53309279,53381363,54243938,54249225,54375237,54780972,55081619,55283090,55939437,56156968,56240303,56351202,56363685,56769779,56875007,57538559,57801986,57812003,57826643,57865840,58111634,58280979,58638588,59094707,59330687,59577503,60121264,61127663,61928807,62220428,62527394,62598290,63041532,63176589,63198604,63217202,63328359,63841967,63919943,64278887,64732425,65099070,65336210,65354546,65405063,65645607,65704679,65737343,66031059,66339708,66712223,67099625,67385704,67636422,67846067,67887458,68015560,69047920,69106899,69187048,69208583,69439008,69522047,70006178,70063799,70411994,70683098,70803410,71048985,71602682,71713490,71747855,72040703,72168410,72761084,72932259,73078010,73167765,73313607,73694739,74241587,75117948,75206248,75210225,75785584,75808917,76010927,76180348,76259090,76382135,76517505,76534226,76565543,77368785,77491340,77678910,77835429,77870243,78045616,78118884,78170882,78311066,78403452,78629799,79371479,79888403,80224240,80343290,80519550,80584019,80895207,81006098,81152812,81233138,81250010,81453743,81618672,82124066,82526704,82609490,82857504,82971935,82982819,83016620,83136287,83198786,83764367,84073043,84421010,84582125,84587138,84607029,84914999,84941855,84964092,85014908,85028259,85225778,85258782,85368503,85887520,86056188,86097426,86150919,86330963,86524707,86602092,86990834,87410344,87564179,87693612,87801318,87877439,88362263,88841042,89607484,89739208,89879079,89882387,89958119,90048983,90252270,90283720,90399484,90462194,90824258,91202810,91510908,91652253,91658562,91821006,91911203,92020487,92612968,92661225,92789135,92842542,92989608,93203279,93214692,93440735,93467564,93555479,93615347,93910490,94340279,94547327,95213608,95789183,96269088,96411948,96469199,96623460,97112087,97270599,97372946,97500012,98004999,98336637,98568623,98580083,98838640,99104979,99131388,99317210,99566322,99619944,99764003,99837219,...,7140942107631487939682155571283215050548488740906897533381594789100480610082261625112045596847774506946165346375446103063696259706725748639541902889271856793584416302777546698393646373013395509910772627451053362302151864111983267232104123765598824967488817208541454110939430268175925693353294681428629534824785627168056712243204325571022650135584315501414281087288655876403442608830217954526138308326667714146258393660619238576912172870616258704476872882086957818638251946401891788618809797277151201299694274622933194827886514307608916969370378440580255671667270680996138253789033608615629390800399841488132157179155742882128010811537340502705229664633158883053473247998732428373102104756336607968538314843481636853295202656054567169671543099869643597540382983135125298482179724200709490754268775249909153872102982196146628956068351901164921839132845307921689196072157118497557181461907413330039303154765177554253033285823248232252499267417511612980097098757919249483091639594222908400418499861676002429263265764221894252048756898411004900959812731241380741165439424341088880891810184130445230183787672360734786551183084723602729679488060163317736119388210993154909757869447029213735108774738060297668223524989983514181306442198532606593416950972613555764182577948365238290507441079983439338069289639262046093301441651410077261467146119622038397970153388148593624045666242488166231040163058046205813525693978605947564259198727639920870171395895851713013444464046858438228306597538220537586263896890190982659174608722057130311053498123830988638496652343191134527493871270580534656503371619175125396833498573884493471621097874861737408381096556102035070669655438795926901455297162775365764323733500447028637817269083065875404108399904726999369585783105092112669639065812562040849752122926948098374927686027788205038156989133871350163099441798487206075379728023283165872934813333391042848246869421520745054179136524532619900196390143563512695759795121576029341456011985244362244721043242842297066995336321394545421352605100683329586982092063542753540777964144672339102577933488781374015593938688515965098845902955531168552245570284279632499101481589130000548680132205660436373676394331485687000453274377889900167272654344988896057897795838471459594143722906144866409761621052729747735697880988338651486494270302732803891300121590933365799161077348208055319593900247262233555231124992289404093643845803487825621120050685161151635167570330337575888715701768583953832992077266680649010709142299894369396811479236627268140197115172840599840838963671352087078115499770647182745885787345453170144322720976266709597030892711046747321452867988109497282938478004580617197898399690677534747785761874037289069671747001316356437862310924145642338988925150268124478381574911435102253001477084735172235755445462229544947299679131595466297503196247521533927498195697023636539593977847296970022287629019680534613681549156861117941972931094956926597976093398210615115638970826351584018109717163652731459699731714166255588058716352795157985373073278367547871869971746683223918052769296746212158130467563861759130127024744506976088555011937302775047589303128164259586235852529388252736541785935676631474497520912988646441873543688294428583969072889638399106848269024673289776795208872851364945578053249205648296271580025299206152223156229534023202666453671369490400771690525592794473515389567565303679889943736271416311072307951665371318226292971119287819453342910877251463755214334987216954285839844890655913698708884273116936145114476484256763502289820207993332706865984491932603935569830433337284902185365157351387529065501461430836575918397799793888417450834164854904733006812701820156014600719239803432344488057565366483033939217769388}
23378  80868831665724618821023606421807709946393209782318235815296298826972141473291: {163597,233710,280452,327166,467380,560856,630963,887566,1561837,1588276,1727086,2006638,2536321,2952877,3507277,3680926,3826612,3866638,4198657,4385476,4516126,4554615,4858256,4888237,4944052,4979566,5395467,5465538,6423175,6921646,7082797,7707810,7732612,7751806,7764817,8011451,8028238,8037121,8221664,8304526,8445037,9249372,10474897,10784638,10852635,11375768,11444930,11576144,12796846,12797739,12949815,13022797,13023162,13688977,13733916,13813136,14213451,14437438,14619406,14721176,15015937,15045915,15528286,15539778,15982126,16048976,16055092,16072321,16072846,16349900,16467277,16526206,16561323,16730221,16920775,17124097,17160238,17612638,18055098,18301837,18693121,19173656,19619880,19733377,19868638,20084547,20138686,20304930,20630235,20927872,20935083,21027217,21570363,21658592,22005584,22072365,22313857,22570321,22615491,22831246,23017827,23357000,23543856,23764276,23869659,23904238,23910175,24230317,24365916,24756282,25510215,25954366,26276625,26389623,26486838,27020638,27050932,27210896,27262957,27286846,27402175,27599835,27639121,27641566,28028400,28482267,28690372,28692210,29236276,29261677,29439824,29523835,29896960,29941006,30264536,30377857,30589563,30605024,30612258,30734446,31531950,31961476,32505652,32882610,33092499,33119802,33194638,33457486,33634080,33724855,34047603,34245166,34420621,34430652,34735827,35074784,35252535,35268097,35388877,35428602,35442827,35876352,36513406,36848692,36879987,36891416,37216135,37290279,37296046,37602704,37838340,38384977,38559531,38622721,38860177,39459132,39553732,40043137,40353131,40360896,40396621,40469826,40758766,40770939,41352175,41502843,41706526,42291851,42303042,42397976,42503917,42736621,42790276,43339006,43508451,44006727,44596568,44659362,45136606,45277357,45406008,45616015,46016452,46160638,46989697,47330221,47625652,47692366,47697723,48008323,48685837,48710638,48880126,49134238,49137347,49359757,49622610,49726606,49883619,49919377,50171139,50233726,50632610,50836276,51081759,51275783,51370372,51509667,51795775,52580497,52588855,52606106,52676686,52930784,53503876,53935006,54186238,54437326,54575499,54739218,54874957,55091821,55308397,55876467,56108019,56690638,57030637,57272926,57501055,57522238,57647330,57739736,58123515,58628497,58817476,58962491,59347252,59513615,59547132,60196215,60416930,60420238,60538667,60629197,60759132,61012568,61463476,61463821,61491646,61699915,61775617,61991812,61998416,62154930,62888638,62958135,63016321,63106626,63134686,63462526,64209296,64492779,64857937,64934638,64935739,64957203,65061121,65769997,65805467,65946819,66298592,66312386,66374797,66776557,67155344,68025406,68289914,68476215,68639139,68833972,69001266,69176796,69714776,69748218,69753037,69851137,70046206,70196210,70449166,70535821,71173486,71416338,72210866,72217438,72235458,72332300,72476967,72500316,72664717,72760657,73041296,73298235,73418638,73906321,74039898,74175607,74585916,74922263,75134936,75135757,75151580,75354123,75549762,75605377,75792721,76048606,76073197,76446157,76484051,76762846,77159086,77238286,77707972,77775535,78184784,78347811,78429123,78521807,78801915,78998255,79206637,79479121,79528126,79585347,79931821,80550238,80707246,81036347,81177886,81365907,81854443,81991057,82171458,82433677,82924635,83311907,84055376,84232130,84235452,84437812,84526803,84689326,85019450,85223821,85232638,85387726,85465246,86251117,86309900,86483810,86626126,86676097,86702979,86774402,86798760,87167451,87527476,87552238,87937438,87957882,88041412,88452944,89320846,90011137,90181896,90469726,90951355,91232077,91876621,92037037,92142532,92585344,92914177,93330642,93439966,93667438,93703778,93791091,93897435,94007810,94096237,94252621,94486657,94562298,94575886,94642321,94731980,94797906,94825803,95225435,95570257,95783566,96152483,96461086,96864175,97169197,97243012,97287406,97319821,97557020,97648605,97671938,97695121,97751476,98004315,98031819,98259652,98662477,99083566,99509562,99701147,...,10711413161447231909523233356924822575822733111360346300072392183650720915123392437668068395271661760419248019563169154595544389560088622959312854333907785190376624454166320047590469559520093264866158941176580043453227796167974900848156185648398237451233225812812181166409145402263888540029942022142944302237178440752085068364806488356533975203376473252121421630932983814605163913245326931789207462490001571219387590490928857865368259305924388056715309323130436727957377919602837682928214695915726801949541411934399792241829771461413375454055567660870383507500906021494207380683550412923444086200599762232198235768733614323192016217306010754057844496949738324580209871998098642559653157134504911952807472265222455279942803984081850754507314649804465396310574474702687947723269586301064236131403162874863730808154473294219943434102527851747382758699267961882533794108235677746335772192861119995058954732147766331379549928734872348378748901126267419470145648136878874224637459391334362600627749792514003643894898646332841378073135347616507351439719096862071111748159136511633321337715276195667845275681508541102179826774627085404094519232090244976604179082316489732364636804170543820602663162107090446502335287484975271271959663297798909890125426458920333646273866922547857435761161619975159007103934458893069139952162477115115892200719179433057596955230082222890436068499363732249346560244587069308720288540967908921346388798091459881305257093843777569520166696070287657342459896307330806379395845335286473988761913083085695466580247185746482957744978514786701791240806905870801984755057428762688095250247860826740207431646812292606112571644834153052606004483158193890352182945744163048646485600250670542956725903624598813106162599857090499054378674657638169004458598718843061274628184390422147562391529041682307557235483700807025244649162697730809113069592034924748809402220000086564272370304132281117581268704786798929850294585215345269043639692682364044012184017977866543367081564864263445600493004482091818132028907651024994380473138095314130311166946217008508653866900233172061023390908032773947648268854433296752828368355426419448748652222383695000823020198308490654560514591497228530500679911566834850250908981517483344086846693757707189391215584359217299614642431579094621603546821482507977229741405454099205836950182386400048698741616022312082979390850370893350332846687488434106140465768705231738431680076027741727452751355495506363833073552652875930749488115900020973516063713449841554095217218854940902210295672759260899761258445507028130617173249655970774118828681018179755216484081464400064395546339066570120982179301982164245924407717006870925796847599536016302121678642811055933604507620501974534656793466386218463508483387725402186717572362367152653379502215627102758353633168193344317420949518697393199446254794371282300891247293545535454809390966770945455033431443529520801920522323735291676912959396642435389896964140097315922673458456239527376027164575745479097189549597571249383382088074529192736978059609917551321807804957620024835877079153945119318237195701345792638695190537116760464132832517905954162571383954692246389379353778794082379104812678903514947211746281369482969662810315532441642875953609334457598660272403537009934665192813309277047418367079873808472444407370037948809228334734344301034803999680507054235601157535788389191710273084351347955519834915604407124466608461927498056977339439456678931729180014366315877195632821502480825431428759767335983870548063326409675404217671714726385145253434730311989999060298976737898905903354745650005927353278047736027081293598252192146254863877596699690832626176251247282357099510219052730234021901078859705148516732086348049724550908826654082}
23379  81156729735447990230347977042873448834563342629176797905860557378196125329449: {350565,373936,420678,490749,584225,701070,747808,841284,1331349,1985345,2382414,2590629,2826197,3009957,4250974,4783265,5481845,5521389,5739918,5799957,6072820,6180065,6578214,6774189,7193956,7287384,7416078,7445141,7469349,8198307,9125549,9665765,9953797,10129126,10277080,10382469,10520477,11503169,11561715,11598918,11627709,12042357,12056957,12086494,12332496,12343157,12456789,12881029,13874058,14042854,14219710,14470180,15559109,16176957,16254737,16776949,16850758,17063652,17167395,17266420,17364216,18194957,18311888,18401470,18806398,18951268,19195269,19254886,19534743,19612961,20061220,20068865,20437375,20600874,20719704,21656157,21929109,22081764,22105057,22440574,22790141,23292429,23309667,23809534,23967070,23973189,24073464,24082638,24109269,24524850,24789309,25740357,25759846,26072878,26159840,26418957,26481469,26737717,26779396,27073240,27082647,27479206,27506980,27913444,28112237,28760484,29196250,29342209,29429820,29651989,29705345,29802957,30153988,30208029,30457395,30690436,31391808,31614029,31826212,32122558,32279989,32487888,32789326,32846669,32902366,33008376,33813665,34013620,34246869,35035500,35186164,35315784,35646414,35807489,35856357,35862965,36545345,36548874,36799780,37098229,37134423,37371200,37408558,37830670,37976356,38256280,38931549,39021997,39162257,39730257,39850901,39951845,40530957,40576398,40583374,40632065,40786084,40816344,40930269,41462349,41633446,41971189,42042600,42620237,42998878,43035558,43038315,43068757,43843480,43854414,44123332,44159736,44206318,44845440,44881757,44911509,45396804,45659141,45907536,45918387,46060865,46101669,46109158,46114270,46314436,47003380,47238136,47297925,47369569,47835136,47931461,47942214,48152821,48758478,49167157,49173316,49323915,49442165,49656046,49679703,49720372,49791957,50025406,50186229,50451120,50522269,51367749,51412708,51645978,52612176,52997470,53061454,53142903,53385997,53487845,53814528,53959768,54002446,54248614,54361252,54770109,55273038,55337124,55745710,55944069,56183134,56311901,56404056,56757510,56985781,57520565,57987989,58011268,58141057,58675636,58760926,59188698,59298886,59330598,59532065,59545816,59933029,60541344,60704739,61000429,61138149,62559789,62849569,63454563,63545345,63596964,63826037,63911134,64185414,64212965,65008509,65360158,65743069,66163480,66511492,66586621,66879845,66894852,66989043,67037989,67091557,67704909,68109012,68198849,68311438,68349941,68411686,68679556,69024678,69214549,69240957,69883558,69915757,71028166,71361917,71438478,71538549,71841109,72174670,72767332,72985624,73065957,73320189,73521845,73548454,73701357,74131054,74184065,74433915,74501956,74589909,74810692,75350589,75948915,76254414,76265710,76540798,76829345,77055558,77396326,77489765,77498020,78695758,78877997,78909159,79015029,79396176,80163886,80255814,80261620,80902509,81012176,81013054,81279357,81655989,82108827,82131118,82734574,82873240,83205958,83944180,84142168,84953389,85035957,85909389,85990372,86042465,86130118,86168206,86283357,86470995,86609604,87143470,87637606,87871157,87929092,88226214,89020878,89068949,89320698,90415375,90625395,90630357,91138698,91301620,91470694,91518852,92001688,92028469,92195214,92235728,92237469,92987718,92997624,93232395,93802657,93918670,93939475,94332957,94538566,94659939,94702029,95026837,95193789,95221784,96313944,96635956,96667088,96700966,97134965,97401957,97730980,98325838,98392558,98719864,99124774,99447888,99468579,...,16067119742170847864284850035387233863734099667040519450108588275476081372685088656502102592907492640628872029344753731893316584340132934438969281500861677785564936681249480071385704339280139897299238411764870065179841694251962351272234278472597356176849838719218271749613718103395832810044913033214416453355767661128127602547209732534800962805064709878182132446399475721907745869867990397683811193735002356829081385736393286798052388958886582085072963984695655091936066879404256524392322043873590202924312117901599688362744657192120063181083351491305575261251359032241311071025325619385166129300899643348297353653100421484788024325959016131086766745424607486870314807997147963839479735701757367929211208397833682919914205976122776131760971974706698094465861712054031921584904379451596354197104744312295596212231709941329915151153791777621074138048901942823800691162353516619503658289291679992588432098221649497069324893102308522568123351689401129205218472205318311336956189087001543900941624688771005465842347969499262067109703021424761027159578645293106667622238704767449982006572914293501767913522262811653269740161940628106141778848135367464906268623474734598546955206255815730903994743160635669753502931227462906907939494946698364835188139688380500469410800383821786153641742429962738510655901688339603709928243715672673838301078769149586395432845123334335654102749045598374019840366880603963080432811451863382019583197137189821957885640765666354280250044105431486013689844460996209569093768002929710983142869624628543199870370778619724436617467772180052686861210358806202977132586143144032142875371791240110311147470218438909168857467251229578909006724737290835528274418616244572969728400376005814435088855436898219659243899785635748581568011986457253506687898078264591911942276585633221343587293562523461335853225551210537866973744046596213669604388052387123214103330000129846408555456198421676371903057180198394775441877823017903565459539023546066018276026966799815050622347296395168400739506723137727198043361476537491570709707142971195466750419325512762980800350349758091535086362049160921472403281649945129242552533139629173122978333575542501234530297462735981840771887245842795751019867350252275376363472276225016130270040636560784086823376538825949421963647368641932405320232223761965844612108181148808755425273579600073048112424033468124469086275556340025499270031232651159210698653057847607647520114041612591179127033243259545749610328979313896124232173850031460274095570174762331142825828282411353315443509138891349641887668260542195925759874483956161178243021527269632824726122196600096593319508599855181473268952973246368886611575510306388695271399304024453182517964216583900406761430752961801985190199579327695262725081588103280076358543550728980069253323440654137530449752290016476131424278046089799169382191556923451336870940318303182214086450156418182550147165294281202880783485602937515369439094963653084845446210145973884010187684359291064040746863618218645784324396356874075073132111793789105467089414876326982711707436430037253815618730917678977355793552018688958042785805675140696199248776858931243857075932038369584069030668191123568657219018355272420817619422054224454494215473298662464313930414001686397990408605305514901997789219963915571127550619810712708666611055056923213842502101516451552205999520760581353401736303682583787565409626527021933279752373406610686699912692891247085466009159185018397593770021549473815793449232253721238147143139651003975805822094989614513106326507572089577717880152095467984998590448465106848358855032118475008891029917071604040621940397378288219382295816395049536248939264376870923535649265328579095351032851618289557722775098129522074586826363239981123}
23380  81445646035568240158708718732328563886900627744598149307751441604355813416864: {257059,327194,467420,537211,560904,631017,654332,934760,956899,1051605,1096651,1121712,1236331,1261926,1375939,1775132,1933651,2072899,2351179,3123674,3176552,3454172,3573621,4013276,4152979,4429099,5072642,5905754,6079771,6376461,6490819,6764491,7014554,7310971,7361852,7591025,7653224,7733276,8128531,8264539,8397314,8609877,8770952,8992445,9032252,9109230,9620659,9716512,9776474,9867321,9888104,9959132,10161091,10790934,10931076,10969579,11124117,11507131,11641339,11909539,12845971,12846350,12979459,13512691,13843292,14165594,14575699,14840731,14973139,15193689,15415620,15465224,15502051,15503612,15529634,15897979,16022902,16056476,16074242,16443328,16609052,16819291,16890074,17213059,17398377,18087725,18129741,18259939,18498744,18911899,20469259,20811087,20949794,21064281,21244051,21329565,21569276,21583025,21705270,21759139,22016251,22657771,22751536,22889860,23041819,23152288,23689085,24444451,24571531,24698539,25076525,25276137,25585579,25593692,25595478,25899630,26045594,26046324,26343091,27098011,27377954,27467832,27602205,27626272,28209597,28426902,28475299,28724779,28849411,28874876,28882329,29238812,29442352,30031874,30091771,30091830,30901311,31056572,31079556,31818979,31964252,32097952,32110184,32144642,32145692,32554891,32699800,32799619,32934554,33052412,33122646,33460442,33474245,33660861,33841550,34018939,34248194,34320476,34383725,34891805,34989211,35110171,35225276,35714301,35950605,36110196,36123957,36195571,36603674,36787275,36796051,37386242,37514251,37692485,38347312,38363045,38639769,39061459,39109317,39239760,39298411,39466754,39737276,39782765,40169094,40277372,40361131,40596499,40609860,41066371,41218809,41260470,41333369,41855744,41870166,42054434,42236011,42352579,42517025,42701851,42818131,43140726,43317184,43514299,43794375,43976971,43982705,44011168,44144730,44627714,44898859,45140642,45230982,45662492,45701731,45999725,46035654,46714000,47087712,47214797,47296891,47470445,47528552,47739318,47808476,47820350,47976211,48183837,48460634,48731832,49183989,49353549,49512564,49551211,50333419,50667571,50982605,51020430,51112099,51444739,51776731,51908732,52102589,52553250,52768819,52779246,52973676,53469621,53656361,53864299,54041276,54101864,54191539,54409339,54421792,54525914,54573692,54626851,54804350,54823311,55154165,55169371,55199670,55278242,55283132,55602091,55818019,56056800,56112837,56571499,56737109,56746005,56786131,56964534,57380744,57384420,57893045,58280491,58472552,58523354,58754225,58879648,59047670,59339251,59444731,59793920,59882012,60076099,60529072,60600259,60755714,60864597,60875061,61179126,61210048,61224516,61331059,61466645,61468892,61539211,62150465,62450169,62575651,63063900,63194059,63862421,63922952,64265885,64498317,64553337,64626931,65011304,65439379,65540611,65765220,65781621,66184998,66239604,66309477,66389276,66749779,66914972,67250539,67268160,67449710,67749499,67951565,68048011,68095206,68490332,68841242,68861304,68939659,69038371,69163737,69171405,69432499,69471654,70021531,70149568,70217299,70505070,70536194,70777754,70857204,70885654,71482771,71752704,71913321,72351739,72514085,73026812,73119259,73137717,73344545,73624397,73697384,73759974,73782832,74356651,74432270,74451331,74484069,74580558,74592092,74734939,75038109,75205408,75676680,76143259,76236571,76329811,76702051,76742237,76769954,77119062,77245442,77350699,77468967,77535379,77627611,77720354,78728779,78911299,78918264,79107464,79496205,79592181,80086274,80501477,80706262,80721792,80793242,80810371,80939652,81003669,81168499,81372921,81436339,81517532,81541878,82704350,82765819,82902149,82909557,83005686,83139365,83319061,83413052,83618565,83817739,84274701,84426571,84583702,84606084,84686419,84795952,85007834,85136265,85473242,85580552,85849445,86146651,86379881,86678012,86911291,87016902,87080419,87499577,87501979,87662081,88013454,88141389,88783047,88948329,88995897,89004691,89087491,89193136,89318724,90239131,90273212,90554714,90809659,90812016,90959165,91053091,91232030,91457371,92020339,92032904,92321276,92420299,92579779,93127445,93513365,93845251,93979394,94393099,94660442,94937419,95014891,95251304,95324059,95384732,95395446,95862331,95866701,96016646,96244651,96278121,96737069,96872525,97003891,97079419,97371674,97421276,97606099,97760252,97980139,98040237,98054731,98268476,98274694,98719514,99238411,99245220,99453212,99458299,99767238,99838754,...,21422826322894463819046466713849645151645466222720692600144784367301441830246784875336136790543323520838496039126338309191088779120177245918625708667815570380753248908332640095180939119040186529732317882353160086906455592335949801696312371296796474902466451625624362332818290804527777080059884044285888604474356881504170136729612976713067950406752946504242843261865967629210327826490653863578414924980003142438775180981857715730736518611848776113430618646260873455914755839205675365856429391831453603899082823868799584483659542922826750908111135321740767015001812042988414761367100825846888172401199524464396471537467228646384032434612021508115688993899476649160419743996197285119306314269009823905614944530444910559885607968163701509014629299608930792621148949405375895446539172602128472262806325749727461616308946588439886868205055703494765517398535923765067588216471355492671544385722239990117909464295532662759099857469744696757497802252534838940291296273757748449274918782668725201255499585028007287789797292665682756146270695233014702879438193724142223496318273023266642675430552391335690551363017082204359653549254170808189038464180489953208358164632979464729273608341087641205326324214180893004670574969950542543919326595597819780250852917840667292547733845095714871522323239950318014207868917786138279904324954230231784401438358866115193910460164445780872136998727464498693120489174138617440577081935817842692777596182919762610514187687555139040333392140575314684919792614661612758791690670572947977523826166171390933160494371492965915489957029573403582481613811741603969510114857525376190500495721653480414863293624585212225143289668306105212008966316387780704365891488326097292971200501341085913451807249197626212325199714180998108757349315276338008917197437686122549256368780844295124783058083364615114470967401614050489298325395461618226139184069849497618804440000173128544740608264562235162537409573597859700589170430690538087279385364728088024368035955733086734163129728526891200986008964183636264057815302049988760946276190628260622333892434017017307733800466344122046781816065547895296537708866593505656736710852838897497304444767390001646040396616981309121029182994457061001359823133669700501817963034966688173693387515414378782431168718434599229284863158189243207093642965015954459482810908198411673900364772800097397483232044624165958781700741786700665693374976868212280931537410463476863360152055483454905502710991012727666147105305751861498976231800041947032127426899683108190434437709881804420591345518521799522516891014056261234346499311941548237657362036359510432968162928800128791092678133140241964358603964328491848815434013741851593695199072032604243357285622111867209015241003949069313586932772436927016966775450804373435144724734305306759004431254205516707266336386688634841899037394786398892509588742564601782494587091070909618781933541890910066862887059041603841044647470583353825918793284870779793928280194631845346916912479054752054329151490958194379099195142498766764176149058385473956119219835102643615609915240049671754158307890238636474391402691585277390381074233520928265665035811908325142767909384492778758707557588164758209625357807029894423492562738965939325620631064883285751907218668915197320544807074019869330385626618554094836734159747616944888814740075897618456669468688602069607999361014108471202315071576778383420546168702695911039669831208814248933216923854996113954678878913357863458360028732631754391265643004961650862857519534671967741096126652819350808435343429452770290506869460623979998120597953475797811806709491300011854706556095472054162587196504384292509727755193399381665252352502494564714199020438105460468043802157719410297033464172696099449101817653308164}
23381  81735584143757150061947219352318944213311298490884603894808765336429063809493: {490791,584275,701130,747872,817915,841356,981498,1168450,1402140,1495616,1682568,1892889,2218915,2662698,2779483,3340051,3970690,4317715,4685511,4764828,5016595,5181258,5652394,6019914,6696571,7608963,7674583,7958599,8501948,8652091,8798803,8858631,9202315,9496531,9566530,9666595,10199143,10521831,10963690,11033671,11042778,11290315,11479836,11599914,12145640,12296491,12360130,12433291,12448915,12595971,12856483,13156428,13532071,13548378,13663845,14249131,14387912,14574768,14664711,14672683,14832156,14890282,14938698,15128839,16186401,16396614,16632151,17047651,17304115,18167059,18251098,18707491,19269525,19331530,19379515,19846171,19907594,20070595,20239879,20258252,20554160,20761315,20764938,20965579,21003211,21040954,21248391,21503131,23006338,23123430,23197836,23255418,23294451,24034353,24084714,24111363,24113914,24172988,24664992,24686314,24913578,25199191,25335111,25762058,25851859,26535283,26933803,26961595,27716779,27748116,28085708,28096411,28114651,28439420,28612325,28904131,28940360,31118218,31419559,31424691,31992115,32353914,32509474,32557905,32685691,33553898,33701516,34127304,34334790,34532840,34728432,35891431,36093595,36389914,36548515,36623776,36710983,36802940,37612796,37902536,38276971,38390538,38393217,38509772,38820715,38849445,39068391,39069486,39225922,39854323,39955315,40122440,40137730,40182115,40513483,40874750,41066931,41072611,41201748,41201779,41315515,41439408,41587483,42297943,42599239,42623911,42640353,42900595,43312314,43858218,44031595,44143891,44163528,44210114,44665171,44881148,44885611,45047811,45137745,45580282,45673651,46169299,46584858,46619334,47071111,47339131,47619068,47631643,47934140,47946378,48146928,48165276,48216963,48218538,49049700,49281643,49401831,49578618,49671595,49683969,50190663,50208151,50215891,50346715,50369371,50762325,51163483,51237079,51372291,51480714,51519692,52145756,52319680,52837914,52962938,53475434,53558792,53752039,53960803,54095683,54146480,54165294,54905511,54958412,55013960,55826888,55932583,56008483,56079363,56224474,56884891,57078115,57220711,57520968,57788071,58220779,58392500,58684418,58859640,59058823,59200131,59303978,59410690,59605914,59760595,60253641,60307976,60416058,60811399,60914790,61380872,61890705,62783616,62805249,63081651,63228058,63652424,64245116,64289971,64485211,64559978,64711089,64885915,64975776,65578652,65693338,65804732,65856283,66016752,66217095,66941571,67551595,67627330,67710963,67736059,67846473,68027240,68102179,68217115,68493738,68858119,69053481,69103915,69219031,69982951,70071000,70372328,70631568,71292828,71608977,71614978,71712714,71725930,71730525,71869831,72690951,72762163,73090690,73097748,73599560,74196458,74268846,74742400,74817116,74852515,74882983,75242731,75430771,75661340,75952712,76222243,76512560,76530645,76836115,77586283,77863098,77883751,78043994,78324514,78829875,78884839,79168869,79385251,79460514,79537243,79701802,79903690,80385811,80528791,80777203,81061914,81152796,81166748,81264130,81572168,81632688,81788871,81860538,82206525,82799505,82917363,82924698,82986595,83266892,83344891,83643715,83778811,83884999,83942378,84085200,84336811,84842899,85240474,85446801,85612915,85997756,86071116,86076630,86137514,87686960,87708828,87785031,88246664,88319472,88377619,88412636,88571505,88963483,89375011,89690880,89763514,89823018,89898151,90702151,90793608,90870439,91133571,91283515,91318282,91621891,91768689,91815072,91836774,92121730,92203338,92218316,92228540,92628872,92863111,93219451,93240115,93631783,94006760,94476272,94595850,94739138,95670272,95862922,95884428,96305642,97398439,97516956,98334314,98346632,98647830,98884330,99277497,99312092,99359406,99440744,99583914,...,32134239484341695728569700070774467727468199334081038900217176550952162745370177313004205185814985281257744058689507463786633168680265868877938563001723355571129873362498960142771408678560279794598476823529740130359683388503924702544468556945194712353699677438436543499227436206791665620089826066428832906711535322256255205094419465069601925610129419756364264892798951443815491739735980795367622387470004713658162771472786573596104777917773164170145927969391310183872133758808513048784644087747180405848624235803199376725489314384240126362166702982611150522502718064482622142050651238770332258601799286696594707306200842969576048651918032262173533490849214973740629615994295927678959471403514735858422416795667365839828411952245552263521943949413396188931723424108063843169808758903192708394209488624591192424463419882659830302307583555242148276097803885647601382324707033239007316578583359985176864196443298994138649786204617045136246703378802258410436944410636622673912378174003087801883249377542010931684695938998524134219406042849522054319157290586213335244477409534899964013145828587003535827044525623306539480323881256212283557696270734929812537246949469197093910412511631461807989486321271339507005862454925813815878989893396729670376279376761000938821600767643572307283484859925477021311803376679207419856487431345347676602157538299172790865690246668671308205498091196748039680733761207926160865622903726764039166394274379643915771281531332708560500088210862972027379688921992419138187536005859421966285739249257086399740741557239448873234935544360105373722420717612405954265172286288064285750743582480220622294940436877818337714934502459157818013449474581671056548837232489145939456800752011628870177710873796439318487799571271497163136023972914507013375796156529183823884553171266442687174587125046922671706451102421075733947488093192427339208776104774246428206660000259692817110912396843352743806114360396789550883755646035807130919078047092132036552053933599630101244694592790336801479013446275454396086722953074983141419414285942390933500838651025525961600700699516183070172724098321842944806563299890258485105066279258346245956667151085002469060594925471963681543774491685591502039734700504550752726944552450032260540081273121568173646753077651898843927294737283864810640464447523931689224216362297617510850547159200146096224848066936248938172551112680050998540062465302318421397306115695215295040228083225182358254066486519091499220657958627792248464347700062920548191140349524662285651656564822706630887018277782699283775336521084391851519748967912322356486043054539265649452244393200193186639017199710362946537905946492737773223151020612777390542798608048906365035928433167800813522861505923603970380399158655390525450163176206560152717087101457960138506646881308275060899504580032952262848556092179598338764383113846902673741880636606364428172900312836365100294330588562405761566971205875030738878189927306169690892420291947768020375368718582128081493727236437291568648792713748150146264223587578210934178829752653965423414872860074507631237461835357954711587104037377916085571611350281392398497553717862487714151864076739168138061336382247137314438036710544841635238844108448908988430946597324928627860828003372795980817210611029803995578439927831142255101239621425417333222110113846427685004203032903104411999041521162706803472607365167575130819253054043866559504746813221373399825385782494170932018318370036795187540043098947631586898464507442476294286279302007951611644189979229026212653015144179155435760304190935969997180896930213696717710064236950017782059834143208081243880794756576438764591632790099072497878528753741847071298530657158190702065703236579115445550196259044149173652726479962246}
23382  82026547650174693778321895024283608476297535726220844893221876424071800371455: {257081,303797,514118,654388,934840,1003577,1051695,1074422,1121808,1262034,1308664,1422581,1472247,1655081,1752675,1869520,1913798,2073077,2103210,2193302,2243424,2397737,2472662,2523852,2629397,2751878,3045881,3550264,3867302,3994047,4015157,4145798,4153337,4199381,4475477,4702358,5164457,5531177,5805881,5956035,6247348,6353104,6537017,6908344,7147242,7175081,7771887,8026552,8129237,8305958,8478591,8718137,8858198,8944277,9029871,9395957,9621497,9666581,10071977,10145284,10566581,10627435,11811508,11910581,11955257,12159542,12589423,12752922,12981638,13025081,13528982,13647017,13957397,14029108,14349795,14355881,14576981,14621177,14621942,14723704,15018581,15182050,15283157,15306448,15466552,15503417,15679481,16257062,16445535,16529078,16564167,16733177,16794628,16820777,17214581,17219754,17389397,17399871,17541904,17984890,18064504,18218460,18261557,18305081,18540195,18913577,19241318,19433024,19552948,19734642,19776208,19823381,19918264,20322182,20322567,20858837,21116981,21581868,21862152,21939158,22189481,22248234,22335423,22408047,22659797,23014262,23086517,23214377,23282678,23819078,24319481,24573737,24594921,24700757,24996857,25322815,25630037,25691942,25692700,25958918,26471477,27025382,27100457,27226037,27376647,27644117,27686584,27852857,28331188,28477877,28519481,28768937,28997295,29101097,29151398,29681462,29861391,29946278,30216235,30387378,30831240,30930448,31004102,31007224,31059268,31147407,31561431,31575977,31795958,31862837,32045804,32112952,32148484,32231081,32598677,32886656,33047081,33164719,33218104,33291257,33453881,33638582,33697577,33780148,34426118,34426937,34507817,34509507,34685145,34796754,34883127,35032757,35107135,35549275,36127071,36170871,36175450,36238997,36259482,36519878,36839417,36997488,37029471,37039157,37278581,37370367,37517717,37823798,38511017,38643087,39302057,40050581,40404137,40600277,40835381,40938518,41622174,41772917,41899588,42126895,42128562,42488102,42659130,42744617,42822137,43138552,43166050,43410540,43518278,43981097,44032502,44096597,44673017,44941397,45315542,45503072,45779720,45858581,46003675,46083638,46304576,46657337,46677327,46846997,46863943,47015995,47339177,47378170,47414777,48131381,48137215,48357077,48530871,48764211,48848527,48888902,49143062,49397078,49443881,49817081,50003381,50153050,50330847,50338217,50552274,50783657,51171158,51187384,51190956,51502185,51799260,52091188,52092648,52260137,52686182,52769479,53708263,53905877,54196022,54196757,54584871,54632117,54755908,54935664,55174697,55204410,55252544,55643477,55695871,56101435,56182697,56419194,56576981,56853804,56950598,57433877,57449558,57585807,57698822,57749752,57764658,57967097,58215317,58477624,58604229,58710581,58838883,58884704,59450537,59523835,59917675,60063748,60081977,60183542,60183660,60206595,60641081,61312125,61545257,61575787,61802622,61856981,61995317,62113144,62159112,63234581,63412063,63637958,63928504,63952697,64195904,64220368,64259381,64289284,64291384,64399615,64735157,64938581,64968471,65109782,65182195,65399600,65479637,65580857,65599238,65787327,65869108,66104824,66245292,66315171,66458623,66589097,66789881,66920884,66948490,67052947,67257257,67290581,67321722,67457081,67683100,67756277,67789481,68037878,68370423,68484917,68496388,68640952,68698015,68767450,68979497,69078197,69439481,69783610,69877287,69929001,69978422,70061237,70220342,70224377,70256981,70450552,70907381,71375647,71428602,71586857,71715881,71901210,71909177,71919567,72220392,72247914,72327807,72391142,72391157,72839381,72990625,73207348,73574550,73592102,74079737,74367927,74772484,74774057,75028502,75213881,75384970,75683381,76151081,76275497,76694624,76726090,77215831,77221071,77279538,77543381,77574137,78122918,78218634,78279317,78479520,78596822,78645557,78933508,78949877,79256871,79444407,79474552,79556117,79565530,80213151,80306395,80338188,80554744,80579381,80722262,80848697,81050263,81176981,81192998,81206777,81219720,81247941,81474581,81973315,82132742,82255915,82437618,82520940,82666738,83126357,83651957,83711488,83740332,83855657,84108868,84336711,84435497,84472022,84705158,84724217,85034050,85155797,85299257,85403702,85636262,86053303,86281452,86634368,86948777,87010651,87028598,87117881,87286697,87588750,87679481,87847337,87953942,87965410,88022336,88026627,88098581,88289460,88955967,89041877,89116035,89179817,89255428,89408871,89797718,89972239,90030581,90281284,90412277,90461964,90624087,90695371,90981881,91143977,91324984,91372185,91403462,91494197,91950137,91999450,92057081,92071308,92655343,92987381,93409397,93428000,93521395,93934037,94169081,94175424,94429594,94576675,94593782,94842087,94940890,94973717,95057104,95132191,95334581,95478636,95616952,95640700,95952422,96128057,96255317,96367674,96839967,96921268,97014677,97463664,97641977,97975267,97991081,98090537,98363381,98367978,98540007,98585897,98707098,98733881,99025128,99102422,99469481,...,48201359226512543592854550106161701591202299001121558350325764826428244118055265969506307778722477921886616088034261195679949753020398803316907844502585033356694810043748440214157113017840419691897715235294610195539525082755887053816702835417792068530549516157654815248841154310187498430134739099643249360067302983384382807641629197604402888415194129634546397339198427165723237609603971193051433581205007070487244157209179860394157166876659746255218891954086965275808200638212769573176966131620770608772936353704799065088233971576360189543250054473916725783754077096723933213075976858155498387902698930044892060959301264454364072977877048393260300236273822460610944423991443891518439207105272103787633625193501048759742617928368328395282915924120094283397585136162095764754713138354789062591314232936886788636695129823989745453461375332863222414146705828471402073487060549858510974867875039977765296294664948491207974679306925567704370055068203387615655416615954934010868567261004631702824874066313016397527043908497786201329109064274283081478735935879320002866716114302349946019718742880505303740566788434959809220485821884318425336544406102394718805870424203795640865618767447192711984229481907009260508793682388720723818484840095094505564419065141501408232401151465358460925227289888215531967705065018811129784731147018021514903236307448759186298535370003006962308247136795122059521100641811889241298434355590146058749591411569465873656922296999062840750132316294458041069533382988628707281304008789132949428608873885629599611112335859173309852403316540158060583631076418608931397758429432096428626115373720330933442410655316727506572401753688736727020174211872506584823255848733718909185201128017443305266566310694658977731699356907245744704035959371760520063694234793775735826829756899664030761880687570384007559676653631613600921232139788641008813164157161369642309990000389539225666368595265029115709171540595184326325633469053710696378617070638198054828080900399445151867041889185505202218520169413181594130084429612474712129121428913586400251257976538288942401051049274274605259086147482764417209844949835387727657599418887519368935000726627503703590892388207945522315661737528387253059602050756826129090416828675048390810121909682352260470129616477848265890942105925797215960696671285897533836324543446426266275820738800219144337272100404373407258826669020076497810093697953477632095959173542822942560342124837773537381099729778637248830986937941688372696521550094380822286710524286993428477484847234059946330527416674048925663004781626587777279623451868483534729064581808898474178366589800289779958525799565544419806858919739106659834726530919166085814197912073359547553892649751701220284292258885405955570598737983085788175244764309840229075630652186940207759970321962412591349256870049428394272834138269397508146574670770354010612820954909546642259350469254547650441495882843608642350456808812546108317284890959254536338630437921652030563053077873192122240590854655937352973189070622225219396335381367316401268244628980948135122309290111761446856192753036932067380656056066874128357417025422088597746330576793731571227796115108752207092004573370705971657055065817262452858266162673363482646419895987392941791242005059193971225815916544705993367659891746713382651859432138125999833165170769641527506304549354656617998562281744060205208911047751362696228879581065799839257120219832060099738078673741256398027477555055192781310064648421447380347696761163714441429418953011927417466284968843539318979522716268733153640456286403954995771345395320545076565096355425026673089751214812121865821192134864658146887449185148608746817793130612770606947795985737286053098554854868673168325294388566223760479089719943369}
23383  82318540157512342816258485665773805864548200441116499240006663375719604212461: {771177,817985,981582,1145081,1168550,1402260,1495744,1611633,1635830,1682712,1893051,1962996,2336900,2804280,2870697,2991232,3106481,3154815,3289953,3365136,3708993,3785778,3947333,4127817,4437830,5325396,5558966,5800953,6044801,6218697,6680102,7023233,7053537,7809185,7941380,8635430,9371022,9405617,9529656,10033190,10362516,10720863,11223173,11304788,12039828,12458937,12681605,12883241,13039793,13287297,13393142,13533233,13743137,14764385,15217926,15349166,15641681,15806441,15917198,16398881,17003896,17304182,17428481,17536385,17597606,17717262,17879537,18239313,18404630,18993062,19053257,19129383,19133060,19333190,19472457,20241617,20293473,20398286,20993285,21043662,21927380,21932913,22067342,22085556,22108853,22411481,22580630,22773075,22959672,23199828,23474177,23919857,24225761,24291280,24385593,24441185,24592982,24720260,24793617,24866582,24897830,25191942,25712966,25829631,26312856,26363777,26977335,27064142,27096756,27131321,27327690,28098833,28498262,28775824,28861977,28906613,29065841,29068817,29149536,29329422,29345366,29601963,29628281,29657081,29664312,29780564,29877396,30257678,30483273,30552197,31422257,32115875,32304617,32372802,32793228,32908737,33264302,33372351,34095302,34521393,34608230,34924017,35413985,35728617,35894513,36334118,36502196,37414982,37746233,38370581,38537913,38539050,38663060,38759030,38824085,38938377,39692342,39815188,40057255,40141190,40185605,40479758,40516504,40538073,41108320,41205317,41522630,41529876,41613737,41931158,42006422,42081908,42225185,42496782,42602897,43006262,43076153,43727097,44043281,44522193,44788961,44919417,45581067,45677573,46012676,46246860,46395672,46506153,46510836,46588902,47075153,47693937,48068706,48169428,48222726,48227828,48345976,49329984,49372628,49827156,49919897,50373713,50398382,50457873,50531033,50670222,50725697,51167921,51524116,51639177,51703718,52170053,52195131,52374485,52680377,53070566,53867606,53923190,54263175,54349001,54389223,54563717,54779817,54885401,55433558,55496232,55937441,56171416,56192822,56229302,56254961,56735697,56878840,57224650,57708641,57808262,57841721,57880720,58290257,58297217,59346053,59871137,60060833,60459881,61060817,61320281,61407777,61644233,61944821,62236436,62433261,62839118,62849382,63192843,63525137,63732153,63984230,63988695,64295513,64707828,64749075,65018948,65113985,65115810,65277417,65371382,66048753,67107796,67403032,67973313,68254608,68294993,68444885,68669580,69065680,69125457,69450737,69456864,69540233,69644117,70485401,71040257,71067255,71782862,71853497,71868017,72187190,72779828,72798881,73097030,73247552,73274081,73333353,73421966,73604081,73605880,73714593,74095617,75079685,75225592,75228677,75229575,75805072,75828411,76030613,76553942,76756737,76781076,76786434,77019544,77641430,77698890,78136782,78138972,78373961,78451844,79029273,79392137,79708646,79909361,79910630,80244880,80275460,80361605,80364230,80604857,81026966,81294033,81377777,81749500,82133862,82145222,82336385,82403496,82403558,82631030,82806615,82878816,83174966,83651105,83664833,83786033,83892281,84094817,84595886,84603875,84628791,84937073,85198478,85247822,85280706,85425897,85545041,85620485,85801190,86174337,86548233,86624628,86646987,86714081,86965553,87716436,87735113,88063190,88287782,88327056,88420228,88981577,89330342,89762296,89771222,90095622,90275313,90275490,90840281,91160564,91347302,91509185,92044433,92338598,92703933,93169716,93227537,93238668,93465605,93818933,94142222,94572233,94678262,95001413,95238136,95263286,95456937,95503961,95857817,95868280,95892756,96293856,96330552,96433926,96437076,96745481,97351937,97664673,98099400,98398857,98563286,98666885,98803662,99136817,99157236,99343190,99367938,...,64268478968683391457139400141548935454936398668162077800434353101904325490740354626008410371629970562515488117379014927573266337360531737755877126003446711142259746724997920285542817357120559589196953647059480260719366777007849405088937113890389424707399354876873086998454872413583331240179652132857665813423070644512510410188838930139203851220258839512728529785597902887630983479471961590735244774940009427316325542945573147192209555835546328340291855938782620367744267517617026097569288175494360811697248471606398753450978628768480252724333405965222301045005436128965244284101302477540664517203598573393189414612401685939152097303836064524347066981698429947481259231988591855357918942807029471716844833591334731679656823904491104527043887898826792377863446848216127686339617517806385416788418977249182384848926839765319660604615167110484296552195607771295202764649414066478014633157166719970353728392886597988277299572409234090272493406757604516820873888821273245347824756348006175603766498755084021863369391877997048268438812085699044108638314581172426670488954819069799928026291657174007071654089051246613078960647762512424567115392541469859625074493898938394187820825023262923615978972642542679014011724909851627631757979786793459340752558753522001877643201535287144614566969719850954042623606753358414839712974862690695353204315076598345581731380493337342616410996182393496079361467522415852321731245807453528078332788548759287831542563062665417121000176421725944054759377843984838276375072011718843932571478498514172799481483114478897746469871088720210747444841435224811908530344572576128571501487164960441244589880873755636675429869004918315636026898949163342113097674464978291878913601504023257740355421747592878636975599142542994326272047945829014026751592313058367647769106342532885374349174250093845343412902204842151467894976186384854678417552209548492856413320000519385634221824793686705487612228720793579101767511292071614261838156094184264073104107867199260202489389185580673602958026892550908792173445906149966282838828571884781867001677302051051923201401399032366140345448196643685889613126599780516970210132558516692491913334302170004938121189850943927363087548983371183004079469401009101505453889104900064521080162546243136347293506155303797687854589474567729621280928895047863378448432724595235021701094318400292192449696133872497876345102225360101997080124930604636842794612231390430590080456166450364716508132973038182998441315917255584496928695400125841096382280699049324571303313129645413261774036555565398567550673042168783703039497935824644712972086109078531298904488786400386373278034399420725893075811892985475546446302041225554781085597216097812730071856866335601627045723011847207940760798317310781050900326352413120305434174202915920277013293762616550121799009160065904525697112184359196677528766227693805347483761273212728856345800625672730200588661177124811523133942411750061477756379854612339381784840583895536040750737437164256162987454472874583137297585427496300292528447175156421868357659505307930846829745720149015262474923670715909423174208074755832171143222700562784796995107435724975428303728153478336276122672764494274628876073421089683270477688216897817976861893194649857255721656006745591961634421222059607991156879855662284510202479242850834666444220227692855370008406065806208823998083042325413606945214730335150261638506108087733119009493626442746799650771564988341864036636740073590375080086197895263173796929014884952588572558604015903223288379958458052425306030288358310871520608381871939994361793860427393435420128473900035564119668286416162487761589513152877529183265580198144995757057507483694142597061314316381404131406473158230891100392518088298347305452959924492}
23384  82611565281036520826104336587050599420125741279029093074854117781522881965505: {303823,514162,607594,1028236,1308776,1472373,1701703,1752825,1869680,2007154,2103390,2148844,2243616,2453745,2524068,2617328,2845162,2921125,2944494,3310162,3505350,3646639,3739040,3827596,4146154,4199743,4206420,4386604,4486848,4795474,4889503,4945324,5047704,5258794,5503756,5577463,5678667,6091762,6656745,7100528,7221223,7630543,7734604,7988094,8030314,8291596,8306674,8338449,8398762,8447239,8583103,8950954,9404716,9667423,9926725,10020153,10328914,10612423,11062354,11611762,11912070,11956303,12494696,12706208,12953145,13074034,13159639,13692583,13816688,13825639,14056533,14130985,14294484,14350162,14622463,14878409,15049785,15543774,16053104,16258474,16603183,16611916,16957182,17436274,17716396,17888554,18059742,18306703,18791914,19218943,19242994,19333162,19868383,20089713,20143954,20290568,21032839,21133162,21254870,22826889,23023749,23623016,23821162,23875797,23910514,23916325,24319084,24364063,25178846,25505844,25956273,25963276,26050162,26396409,26575893,26893423,27057964,27270343,27294034,27395839,27409225,27606945,27914794,28058216,28489593,28522063,28699590,28711762,28999785,29145223,29153962,29242354,29243884,29447408,30037162,30364100,30386143,30566314,30597429,30612896,30900325,30933104,31006834,31250503,31358962,31565493,31742839,32514124,32891070,33058156,33101013,33128334,33466354,33589256,33641554,33700663,33870945,34187239,34429162,34439508,34778794,34793839,34799742,35083808,35398639,35451941,35969780,36001639,36129008,36436920,36523114,36610162,36889473,37080390,37225705,37299873,37321903,37346745,37787913,37827154,38482636,38514583,38569449,38866048,39105896,39469284,39552416,39646762,39836528,40054303,40172239,40596213,40644364,40645134,40991535,41717674,41815783,42233962,42302729,42515839,42632263,42747393,43163736,43724304,43878316,43994133,44018049,44378962,44496468,44670846,44816094,45319594,45386517,45404839,45627745,46028524,46173034,46428754,46565356,47003023,47638156,48328825,48559203,48638962,49147474,49149989,49189842,49401514,49768985,49821823,49896453,49993714,50045383,50645630,51047839,51142953,51260074,51383884,51385400,51912345,51917836,52602385,52942954,54050764,54200914,54452074,54501177,54753294,55288234,55373168,55432639,55705714,56122473,56662376,56955754,57038962,57475063,57515845,57537874,57808575,57994590,58138545,58202194,58220983,58302796,58539583,58977653,59362924,59538513,59722782,59892556,60211785,60284785,60332743,60432470,60719637,60774756,61662480,61715785,61793839,61860896,62008204,62014448,62118536,62208703,62283945,62294814,62896737,63009633,63122862,63151954,63591916,63725674,63745173,64091608,64225904,64296968,64405145,64462162,64509393,64952437,65197354,65773312,65789623,65822393,66094162,66329438,66436208,66495223,66582514,66907762,67277164,67297303,67392101,67395154,67497103,67560296,67796263,68852236,68853874,68887639,69015634,69019014,69370290,69593508,69766254,69872239,69883353,70065514,70214270,70264063,70752223,70946983,71098550,71335639,71723143,72103059,72254142,72334089,72341742,72350900,72477994,72518964,72782839,73039756,73678834,73994976,74058942,74078314,74194681,74557162,74740734,74941529,75035434,75252943,75597573,75628639,75647596,76005333,76096639,76655863,77022034,77027239,77286174,77555577,77582143,77795545,78317983,78542009,78604114,79231303,79605849,79866343,80101162,80227639,80587783,80801409,80808274,80884785,81200554,81215263,81273685,81670762,81875497,81877036,82016839,83150337,83244348,83333369,83545834,83799176,83884745,84253790,84257124,84289233,84343953,84976204,85318260,85489234,85644274,85836975,86277104,86278663,86332100,86363839,86712393,86821080,87036556,87962194,88065004,88135903,88193194,89216983,89346034,89629543,89882794,90040303,90159461,90612343,90631084,90974785,91006144,91018783,91255073,91261783,91342639,91559440,91717162,91745839,92007350,92167276,92609152,92944639,93314674,93354654,93693994,93727886,94031990,94127239,94258677,94274073,94678354,94756340,94829554,95976345,96138703,96177221,96262762,96274430,96714154,97061742,97201639,97277023,97528422,97673715,97697054,97777804,98057073,98064805,98286124,98399143,98621623,98794156,98887762,99064639,99634162,99870103,...,96402718453025087185709100212323403182404598002243116700651529652856488236110531939012615557444955843773232176068522391359899506040797606633815689005170066713389620087496880428314226035680839383795430470589220391079050165511774107633405670835584137061099032315309630497682308620374996860269478199286498720134605966768765615283258395208805776830388259269092794678396854331446475219207942386102867162410014140974488314418359720788314333753319492510437783908173930551616401276425539146353932263241541217545872707409598130176467943152720379086500108947833451567508154193447866426151953716310996775805397860089784121918602528908728145955754096786520600472547644921221888847982887783036878414210544207575267250387002097519485235856736656790565831848240188566795170272324191529509426276709578125182628465873773577273390259647979490906922750665726444828293411656942804146974121099717021949735750079955530592589329896982415949358613851135408740110136406775231310833231909868021737134522009263405649748132626032795054087816995572402658218128548566162957471871758640005733432228604699892039437485761010607481133576869919618440971643768636850673088812204789437611740848407591281731237534894385423968458963814018521017587364777441447636969680190189011128838130283002816464802302930716921850454579776431063935410130037622259569462294036043029806472614897518372597070740006013924616494273590244119042201283623778482596868711180292117499182823138931747313844593998125681500264632588916082139066765977257414562608017578265898857217747771259199222224671718346619704806633080316121167262152837217862795516858864192857252230747440661866884821310633455013144803507377473454040348423745013169646511697467437818370402256034886610533132621389317955463398713814491489408071918743521040127388469587551471653659513799328061523761375140768015119353307263227201842464279577282017626328314322739284619980000779078451332737190530058231418343081190368652651266938107421392757234141276396109656161800798890303734083778371010404437040338826363188260168859224949424258242857827172800502515953076577884802102098548549210518172294965528834419689899670775455315198837775038737870001453255007407181784776415891044631323475056774506119204101513652258180833657350096781620243819364704520940259232955696531781884211851594431921393342571795067672649086892852532551641477600438288674544200808746814517653338040152995620187395906955264191918347085645885120684249675547074762199459557274497661973875883376745393043100188761644573421048573986856954969694468119892661054833348097851326009563253175554559246903736967069458129163617796948356733179600579559917051599131088839613717839478213319669453061838332171628395824146719095107785299503402440568584517770811911141197475966171576350489528619680458151261304373880415519940643924825182698513740098856788545668276538795016293149341540708021225641909819093284518700938509095300882991765687217284700913617625092216634569781918509072677260875843304061126106155746384244481181709311874705946378141244450438792670762734632802536489257961896270244618580223522893712385506073864134761312112133748256714834050844177195492661153587463142455592230217504414184009146741411943314110131634524905716532325346726965292839791974785883582484010118387942451631833089411986735319783493426765303718864276251999666330341539283055012609098709313235997124563488120410417822095502725392457759162131599678514240439664120199476157347482512796054955110110385562620129296842894760695393522327428882858837906023854834932569937687078637959045432537466307280912572807909991542690790641090153130192710850053346179502429624243731642384269729316293774898370297217493635586261225541213895591971474572106197109709737346336650588777132447520958179439886738}
23385  82905626648632207766440326428414664697312211583126748749740292836442326803177: {771243,911391,1145179,1285295,1542354,1635970,1963164,2290162,2337100,2686055,2804520,2991488,3010731,3155085,3223266,3271660,3365424,3786102,3925992,4267743,4367759,4416741,4673800,4784495,4965243,5258025,5483255,5608560,5741394,5982464,6181655,6212962,6219231,6309630,6579906,6730272,6879695,7193211,7417986,7571556,7888191,7894666,8255634,8875660,9137643,9668255,10364495,10523183,10650792,10932859,11117932,11506127,11601906,11755895,11982141,12045471,12060059,12089602,12346331,12437394,12460011,12598143,13360204,13426431,13596143,14046466,14107074,15493371,15563111,15618370,15882760,16258919,16593531,17270860,17417643,17754247,17868105,18485623,18633479,18742044,18811234,19059312,19611051,19618007,20066380,20670139,20725032,20764895,21264683,21441726,21525243,21991703,22145495,22446346,22609576,23315661,23921911,24079656,24387711,24550939,24917874,25363210,25435773,25766482,26079586,26154411,26574594,26786284,26832831,27066466,27089613,27486274,28119479,28187871,28864491,28999743,29390599,29528770,30215931,30398855,30435852,30698332,31073563,31157191,31283362,31612882,31699743,31834396,31882305,31912759,32307391,32454095,32797762,33822455,34007792,34217659,34608364,34856962,35072770,35195212,35221127,35434524,35731743,35759074,35865771,36478626,36554855,36809260,37768269,37955125,37986124,38034203,38106514,38258766,38266120,38666380,38944914,39075243,39861167,40483234,40586946,40642655,40796572,40941051,41322695,41872191,41986570,42087324,42884767,43049385,43067643,43730943,43854760,43863531,43865826,44047063,44134684,44151503,44171112,44217706,44439611,44822962,44893319,44962225,45055743,45161260,45546150,45849471,45919344,46399656,46510251,46948354,47038443,47839714,48103295,48451522,48582560,48771186,48882370,49179871,49185964,49336605,49440520,49579579,49587234,49692501,49733164,49795660,50199531,50383884,50462331,50611343,50805455,51425932,51449819,51643743,51659262,52168191,52199613,52625712,52727554,53954670,54128284,54193512,54262642,54353719,54655380,54784671,54847895,54915243,55620585,56080157,56197666,56259847,56740731,56996524,57535655,57551648,57723954,57813226,58131682,58137634,58206695,58299072,58658844,58690732,59115259,59203926,59256562,59314162,59328624,59470143,59547695,59561128,59754792,59948551,60515356,60966546,60967701,61104394,61342507,62576511,62844514,63350943,64229855,64231750,64552667,64609234,64745604,64897295,65351759,65390711,65586456,65817474,65867639,66528604,66568443,66744702,67006269,67224141,67563455,67979391,68015287,68190604,68896711,69042786,69216460,69232447,69259551,69643131,69848034,70564127,70827970,71457234,71789026,71859691,72469423,72668236,72878495,72958443,73004392,73041391,73324279,73721211,73784763,74102271,74203655,74240443,74390063,74829964,74865695,74990571,75492466,75968445,76741162,76890111,77075826,77078100,77326120,77510255,77518060,77648170,77876754,78898523,79384684,79414431,79489895,79630376,80114510,80282380,80371210,80399759,80959516,81033008,81076146,81301371,81678111,82129941,82216640,82410634,82932351,83045260,83059752,83227474,83447839,83558571,83862316,84012844,84096455,84163816,84450370,84975391,84993564,85205794,85433631,85558443,86012524,86065295,86152306,86306811,86991885,87303291,87454194,87594427,87894059,88086562,89044386,89390543,89577922,89584173,89838834,90438625,90648705,91159579,91162134,91299695,91355146,91444699,92025352,92269031,92493720,92791344,93012306,93021672,93177804,93442221,93827071,94150306,94559495,94684293,94727931,95387874,95588511,95822839,96137412,96338856,96445452,96455656,96691952,96693243,97796031,98056891,98640239,98659968,98745256,99141243,99145423,99494157,99654312,99839794,99873771,...,144604077679537630778563650318485104773606897003364675050977294479284732354165797908518923336167433765659848264102783587039849259061196409950723533507755100070084430131245320642471339053521259075693145705883830586618575248267661161450108506253376205591648548472964445746523462930562495290404217298929748080201908950153148422924887592813208665245582388903639192017595281497169712828811913579154300743615021211461732471627539581182471500629979238765656675862260895827424601914638308719530898394862311826318809061114397195264701914729080568629750163421750177351262231290171799639227930574466495163708096790134676182877903793363092218933631145179780900708821467381832833271974331674555317621315816311362900875580503146279227853785104985185848747772360282850192755408486287294264139415064367187773942698810660365910085389471969236360384125998589667242440117485414206220461181649575532924603625119933295888883994845473623924037920776703113110165204610162846966249847864802032605701783013895108474622198939049192581131725493358603987327192822849244436207807637960008600148342907049838059156228641515911221700365304879427661457465652955276009633218307184156417611272611386922596856302341578135952688445721027781526381047166162171455454520285283516693257195424504224697203454396075382775681869664646595903115195056433389354193441054064544709708922346277558895606110009020886924741410385366178563301925435667723895303066770438176248774234708397620970766890997188522250396948883374123208600148965886121843912026367398848285826621656888798833337007577519929557209949620474181750893229255826794193275288296289285878346121160992800327231965950182519717205261066210181060522635617519754469767546201156727555603384052329915799698932083976933195098070721737234112107878115281560191082704381327207480489270698992092285642062711152022679029960894840802763696419365923026439492471484108926929970001168617676999105785795087347127514621785552978976900407161132089135851211914594164484242701198335455601125667556515606655560508239544782390253288837424136387364286740759200753773929614866827203153147822823815777258442448293251629534849506163182972798256662558106805002179882511110772677164623836566946985212585161759178806152270478387271250486025145172430365729047056781410388849433544797672826317777391647882090013857692601508973630339278798827462216400657433011816301213120221776480007060229493430281093860432896287877520628468827681026374513320612143299189335911746492960813825065118089564650283142466860131572860980285432454541702179838991582250022146776989014344879763331838870355605450604187193745426695422535099769400869339875577398696633259420576759217319979504179592757498257442593736220078642661677949255103660852876776656217866711796213949257364525734292929520687226891956560820623279910965887237774047770610148285182818502414808192524439724012311062031838462864728639926778051407763642951324487648530825927051370426437638324951854672877763609015891313764956091689159233619576366721772563967812058919567211866675658189006144101949203804733886942844405366927870335284340568578259110796202141968168200622385072251076266265793238991730381194713683388345326256621276013720112117914971165197451787358574798488020090447939259687962178825373726015177581913677447749634117980102979675240140147955578296414377999499495512308924582518913648063969853995686845232180615626733143254088088686638743197399517771360659496180299214236021223769194082432665165578343930193945264342141043090283491143324288256859035782252398854906530617956938568148806199460921368859211864987314036185961635229695289066275080019269253644436365597463576404593974440662347555445826240453379391838311820843387957211858159295664564606019504975883165698671281437269159830107}
23386  83200727900846694277239888034870695126906035223968003861571366036017110298140: {397273,607646,677353,1028324,1096933,1215188,1236649,1376293,2056472,2073433,2313531,2453955,2490853,2617552,2921375,2944746,3403406,3435243,3505650,3739360,4014308,4089575,4206780,4297688,4487232,4568233,4834899,4907490,5048136,5234656,5257093,5679153,5690324,5842250,5888988,6218473,6620324,7010700,7293278,7478080,7655192,7994533,8266693,8292308,8399486,8412840,8612091,8773208,8810149,8973696,9319443,9464445,9590948,9779006,9869859,9890648,10095408,10163749,10298713,10517588,10972453,11007512,11094575,11126979,11154926,11357334,11644393,11841999,12183524,12383451,12982873,13313490,13649413,13897415,14048473,14201056,14442446,14712133,14977093,15261086,15373993,15469208,15976188,16060628,16583192,16613348,16676898,16700255,16797524,16823749,16894478,17166206,17402859,17479849,17901908,18134403,18656091,18809432,19334846,19783379,19853450,20040306,20657828,21069699,21160611,21224846,21378649,21588575,21893593,22124708,22791973,23223524,23427555,23824140,23912606,24578149,24705193,24989392,25082975,25412416,25906290,26148068,26319278,26476249,27230953,27385166,27633376,27651278,28113066,28216851,28233193,28261970,28588968,28700324,28857253,29106373,29244926,29756818,30099570,30223849,30965593,31087548,32106208,32162589,32516948,32686249,33206366,33223832,33297349,33482855,33669519,33914364,34514149,34872548,35119849,35240773,35432792,35777108,36119484,36613406,37376811,37583828,38044815,38372915,38437886,38485988,38597413,38649723,38666324,39119379,39309349,39736766,39792995,39861891,40179426,40287908,40581136,40599699,41229411,42065678,42266324,42364453,42509740,42830149,43260455,43526533,43989349,43994015,44104873,44293155,45653778,46011575,46047498,46742053,46925043,47246032,47310313,47419323,47423749,47482655,47642324,47751594,47821028,47832650,48332975,48441433,48638168,48728126,49196643,50357692,50793349,50995715,51011688,51237733,51912546,51926552,52100324,52115987,52285443,52609155,52792818,53151786,53638611,53661253,53786846,54115928,54540686,54588068,54642649,54717939,54791678,54818450,55168355,55213890,55726249,55829588,56116432,56451575,56979186,57044126,57159771,57388149,57399180,57423524,57999570,58290446,58297513,58307924,58403749,58417371,58484708,58487768,58894816,59039653,59462149,59567593,60074324,60724851,60728200,60772286,60880419,61132628,61194858,61225792,61482455,61800650,61866208,62013668,62166455,62244575,62501006,62697433,62717924,62979855,63130986,63485678,63521113,63878843,64033573,64282415,64646149,64747993,65028248,65560153,65782140,65798739,66116312,66202026,66256668,66326559,66669349,66932708,67178512,67234443,67283108,67401326,67660355,67741890,67769833,68068453,68167849,68319225,68374478,68762713,68858324,68879016,69059173,69557588,69587678,69599484,69676579,70140649,70167616,70422531,70797278,70903882,71116249,71245655,71601349,71759571,71939560,72003278,72181093,72258016,72469993,72677283,72873840,73046228,73156779,73220324,73323555,73363415,73643339,73778946,74160780,74380851,74451410,74474149,74599746,74643806,74693490,74946649,75575826,75644195,75654308,76260073,76353349,76446553,76761971,76965272,77029166,77138898,77488893,77651653,77732096,77743849,78211792,78938568,79091331,79104832,79293524,79481893,79673056,80108606,80344478,80522183,80932005,81014953,81192426,81288728,81290268,81393963,81983070,82791913,82923467,83143849,83160755,83435348,83631566,84296499,84398699,84467924,84605458,85031678,85231273,85238255,85264526,85494786,85660933,86174149,86327472,86402099,86520575,86585931,86719839,86939113,87023749,87197523,87206451,87445849,87448608,87522083,87684623,87756632,87988266,88036098,88757924,88805889,88884843,88971243,88992936,89116249,89199013,89341692,89632188,90167203,90639188,90773034,90809678,90835295,91163749,91255490,91449819,91567849,91656591,92057048,92346068,92857508,93130712,93245413,93537455,93954649,94006046,94266771,95046313,95276312,95817433,95970793,96347625,96657650,96761951,96897575,96913851,97111813,97118406,97277924,98087593,98162149,98294948,98299978,98379684,98726211,98803028,99230855,99537970,99643646,99792906,99987428,...,192805436906050174371418200424646806364809196004486233401303059305712976472221063878025231114889911687546464352137044782719799012081595213267631378010340133426779240174993760856628452071361678767590860941178440782158100331023548215266811341671168274122198064630619260995364617240749993720538956398572997440269211933537531230566516790417611553660776518538185589356793708662892950438415884772205734324820028281948976628836719441576628667506638985020875567816347861103232802552851078292707864526483082435091745414819196260352935886305440758173000217895666903135016308386895732852303907432621993551610795720179568243837205057817456291911508193573041200945095289842443777695965775566073756828421088415150534500774004195038970471713473313581131663696480377133590340544648383059018852553419156250365256931747547154546780519295958981813845501331452889656586823313885608293948242199434043899471500159911061185178659793964831898717227702270817480220272813550462621666463819736043474269044018526811299496265252065590108175633991144805316436257097132325914943743517280011466864457209399784078874971522021214962267153739839236881943287537273701346177624409578875223481696815182563462475069788770847936917927628037042035174729554882895273939360380378022257676260566005632929604605861433843700909159552862127870820260075244519138924588072086059612945229795036745194141480012027849232988547180488238084402567247556965193737422360584234998365646277863494627689187996251363000529265177832164278133531954514829125216035156531797714435495542518398444449343436693239409613266160632242334524305674435725591033717728385714504461494881323733769642621266910026289607014754946908080696847490026339293023394934875636740804512069773221066265242778635910926797427628982978816143837487042080254776939175102943307319027598656123047522750281536030238706614526454403684928559154564035252656628645478569239960001558156902665474381060116462836686162380737305302533876214842785514468282552792219312323601597780607468167556742020808874080677652726376520337718449898848516485715654345601005031906153155769604204197097098421036344589931057668839379799341550910630397675550077475740002906510014814363569552831782089262646950113549012238408203027304516361667314700193563240487638729409041880518465911393063563768423703188863842786685143590135345298173785705065103282955200876577349088401617493629035306676080305991240374791813910528383836694171291770241368499351094149524398919114548995323947751766753490786086200377523289146842097147973713909939388936239785322109666696195702652019126506351109118493807473934138916258327235593896713466359201159119834103198262177679227435678956426639338906123676664343256791648293438190215570599006804881137169035541623822282394951932343152700979057239360916302522608747760831039881287849650365397027480197713577091336553077590032586298683081416042451283819638186569037401877018190601765983531374434569401827235250184433269139563837018145354521751686608122252212311492768488962363418623749411892756282488900877585341525469265605072978515923792540489237160447045787424771012147728269522624224267496513429668101688354390985322307174926284911184460435008828368018293482823886628220263269049811433064650693453930585679583949571767164968020236775884903263666178823973470639566986853530607437728552503999332660683078566110025218197418626471994249126976240820835644191005450784915518324263199357028480879328240398952314694965025592109910220220771125240258593685789521390787044654857765717675812047709669865139875374157275918090865074932614561825145615819983085381581282180306260385421700106692359004859248487463284768539458632587549796740594434987271172522451082427791183942949144212394219419474692673301177554264895041916358879773476}
23387  83496872690933486773906217707821321314360970090018333258255349606102944893525: {911469,1285405,1518985,1542486,1799413,1822782,2290358,2570590,3084708,3271940,3760477,3926328,4417119,4580324,4674200,4881613,5017885,5105109,5161897,5258475,5372110,5609040,5982976,6021462,6310170,6446532,6543320,6698293,6730848,7112905,7361235,7572204,7676557,7851984,8275405,8535486,8654317,8735518,8763375,8833482,9347600,9498973,9568990,9631573,9930486,10365385,10516050,10939917,10966510,11036509,11217120,11482788,11964928,11988685,12299653,12363310,12425924,12436489,12438462,12599229,12619260,12859789,13146985,13159812,13460544,13535557,13759390,14252797,14386422,14510293,14668509,14676457,14835972,15143112,15229405,15776382,15789332,16068169,16458253,16511268,16636429,16732389,17036001,17052037,17751320,18171733,18275286,19336510,19851277,19970235,20075785,20245093,20728990,20766685,20825653,20970973,20996905,21046366,21266509,21301584,21663669,21865718,22235864,22377385,22891629,23012254,23064469,23203812,23380933,23511790,23964282,24090942,24120118,24179204,24692662,24838693,24874788,24920022,25015347,25023433,25130989,25196286,25341717,25749309,25822285,26720408,26852862,27192286,27387613,27655885,28092932,28214148,28416109,28911577,29002269,29029405,29070853,29780175,30060459,30986742,31003693,31126222,31236740,31279813,31427653,31765520,31772893,31837269,32517838,32685085,33187062,34541720,34835286,35508494,35736210,35868909,35875405,35900677,36971246,37266958,37484088,37622468,38037469,38069053,38118624,38859435,39105589,39222102,39236014,39364789,39478917,39952873,40132760,40646185,41077749,41212393,41340278,41450064,41476917,41529790,42169599,42392955,42529366,42558397,42610213,42634933,42883452,43050486,43590685,43867389,43983406,44155309,44290990,44635227,44721385,44892692,45149355,45219152,45254413,45435733,45674893,45685417,46631322,46979785,47083237,47351437,47843822,48107485,48159312,48332905,48775422,49101878,49809549,49835748,50359885,50615689,50726420,50844253,50871546,51176797,51454237,51532964,52159172,52179049,52308822,52832905,53080189,53137175,53149188,53332189,53572568,53665662,54132932,54179226,54920109,54972548,56238958,56375742,56899717,57656829,57728982,57851773,57999486,58781198,59057540,59315509,59552905,59605149,59776285,60057289,60269139,60429349,60431862,60797710,60871704,61153933,61396664,62147126,62314382,62566724,62947115,63098517,63225764,63399486,63668792,63764610,63825518,63947413,64614782,64908190,65125405,65595524,65873317,66740893,67344613,67644910,68015584,68222377,68235085,68435318,68480667,69071247,69216728,69713924,69786985,70145540,70382653,70390424,70442254,70869048,71127637,71352553,71463486,71518148,71627391,71731542,71748975,71779405,72147853,72884905,72957252,73092189,73105885,73109710,73188277,73616773,73618520,75092905,75536538,75910250,75972248,76068406,76213028,76415785,76517532,76532240,76787053,77233897,77332760,77517085,77606377,77648653,77868819,77889828,78150486,78397405,78865789,79189227,79405909,79722334,79727679,80406733,80549917,80680269,80966468,80999389,81173892,81285310,81489373,81593144,81811029,81882102,82187517,82227675,82645390,82820835,83071333,83366773,83665885,83744382,83973140,84103885,84174648,85405573,85468779,85566189,85769534,86072905,86098770,86135286,86946985,86980549,86999355,87435669,87461886,87709520,87727062,87731652,87901693,87915529,88094126,88239373,88269368,88303006,88342224,88400653,88435412,88879222,89099677,89308837,89645924,89786638,89921797,89924450,90111486,90322520,90856213,90894133,91092300,91158429,91307785,91525405,91698942,91792287,91838688,92700975,92799312,93020502,93243709,93751509,93896708,93981253,94076886,94381309,94567885,94588837,94696479,95017897,95228517,95679428,96206590,96869509,96903044,97165120,97258933,97542372,97764740,98359742,98371928,98673210,98881040,99116905,99159158,99174468,99303039,99385002,99466328,99591320,...,289208155359075261557127300636970209547213794006729350101954588958569464708331595817037846672334867531319696528205567174079698518122392819901447067015510200140168860262490641284942678107042518151386291411767661173237150496535322322900217012506752411183297096945928891493046925861124990580808434597859496160403817900306296845849775185626417330491164777807278384035190562994339425657623827158308601487230042422923464943255079162364943001259958477531313351724521791654849203829276617439061796789724623652637618122228794390529403829458161137259500326843500354702524462580343599278455861148932990327416193580269352365755807586726184437867262290359561801417642934763665666543948663349110635242631632622725801751161006292558455707570209970371697495544720565700385510816972574588528278830128734375547885397621320731820170778943938472720768251997179334484880234970828412440922363299151065849207250239866591777767989690947247848075841553406226220330409220325693932499695729604065211403566027790216949244397878098385162263450986717207974654385645698488872415615275920017200296685814099676118312457283031822443400730609758855322914931305910552019266436614368312835222545222773845193712604683156271905376891442055563052762094332324342910909040570567033386514390849008449394406908792150765551363739329293191806230390112866778708386882108129089419417844692555117791212220018041773849482820770732357126603850871335447790606133540876352497548469416795241941533781994377044500793897766748246417200297931772243687824052734797696571653243313777597666674015155039859114419899240948363501786458511653588386550576592578571756692242321985600654463931900365039434410522132420362121045271235039508939535092402313455111206768104659831599397864167953866390196141443474468224215756230563120382165408762654414960978541397984184571284125422304045358059921789681605527392838731846052878984942968217853859940002337235353998211571590174694255029243571105957953800814322264178271702423829188328968485402396670911202251335113031213311121016479089564780506577674848272774728573481518401507547859229733654406306295645647631554516884896586503259069699012326365945596513325116213610004359765022221545354329247673133893970425170323518357612304540956774542500972050290344860731458094113562820777698867089595345652635554783295764180027715385203017947260678557597654924432801314866023632602426240443552960014120458986860562187720865792575755041256937655362052749026641224286598378671823492985921627650130236179129300566284933720263145721960570864909083404359677983164500044293553978028689759526663677740711210901208374387490853390845070199538801738679751154797393266518841153518434639959008359185514996514885187472440157285323355898510207321705753553312435733423592427898514729051468585859041374453783913121641246559821931774475548095541220296570365637004829616385048879448024622124063676925729457279853556102815527285902648975297061651854102740852875276649903709345755527218031782627529912183378318467239152733443545127935624117839134423733351316378012288203898407609467773885688810733855740670568681137156518221592404283936336401244770144502152532531586477983460762389427366776690652513242552027440224235829942330394903574717149596976040180895878519375924357650747452030355163827354895499268235960205959350480280295911156592828755998998991024617849165037827296127939707991373690464361231253466286508176177373277486394799035542721318992360598428472042447538388164865330331156687860387890528684282086180566982286648576513718071564504797709813061235913877136297612398921842737718423729974628072371923270459390578132550160038538507288872731194927152809187948881324695110891652480906758783676623641686775914423716318591329129212039009951766331397342562874538319660214}
23388  83794064684896363777966299314069675422581497704258653780611446699229251293221: {397307,444011,724067,794546,1215292,1354706,1422947,1562507,2056648,2193866,2259227,2313729,2430376,2473298,2537411,2734173,2752586,3185387,3435537,3855885,4089925,4112944,4146866,4154411,4430627,4614611,4627062,4907910,4981706,5235104,5303411,5725405,5842750,5889492,5944667,6264707,6806812,6870486,7011300,7085867,7313507,7478720,7631867,7995227,8028616,8040611,8058165,8179150,8267411,8413560,8448707,8595376,8974464,9032193,9136466,9465255,9669798,9814980,10096272,10469312,10514186,10704107,11152787,11358306,11380648,11684500,11777976,12436946,12803229,13028507,13103277,13161947,13240648,13250223,13694987,14021400,14094011,14353485,14586556,14713427,14895729,14956160,15022547,15310384,15532405,15683627,15774075,15989066,16079411,16299011,16449765,16533386,16584616,16798972,16825680,17000387,17224182,17394011,17546416,17620298,17947392,18527507,18544965,18638886,18657693,18918611,18928890,19181896,19309067,19456381,19558012,19736665,19739718,19742147,19781296,19958387,20190816,20327498,20390267,20597426,20639085,20649011,21035176,21122627,21251627,21579633,21944906,22015024,22189150,22195427,22253958,22309852,22323827,22714668,22794011,22836707,23220611,23288786,23380357,23664573,23683998,24367048,24453227,24707411,24766902,24876707,25130411,25965746,26626980,26982107,27233411,27275267,27298826,27412929,27794830,27860411,28096946,28235747,28277411,28402112,28652027,28884892,29004765,29150507,29424266,29954186,29978747,30224005,30522172,30747986,30938416,31093485,31338347,31569549,31830587,31952376,31994411,32121256,32798577,33166384,33226696,33353796,33400510,33595048,33647498,33788956,33828611,34193507,34274507,34332412,34518381,34805718,34880987,34959698,35116165,35267685,35284307,35606387,35803816,35946423,36136413,36180177,36268806,37038993,37312182,37380033,37618864,37687427,37794429,38402747,38600987,38640611,38669692,38878187,39045925,39075947,39470867,39566758,39706900,40080612,40179707,40258307,40279293,40611611,40788429,40846787,40964267,41315656,42139398,42321222,42449692,42523787,42717827,42757298,42989147,43177150,43787186,44109011,44249416,44915747,45489827,45583946,45871547,46447048,46480113,46689333,46855110,46875997,47028085,47352611,47648280,47825212,47881307,48145067,48257987,48776757,49156298,49410386,49570067,49780593,49831307,49943147,49978784,50165950,50824832,51131627,51464411,51612107,51812580,52252929,52296136,52638556,52789067,52935611,52952498,53262741,53604315,53666411,53722081,54357707,54461906,54770332,55082267,55266752,55302556,55335107,55456869,55710193,55900437,55983467,56115865,56226132,56433702,56466386,56523940,56736611,57177936,57236747,57400648,57450611,57714506,58212746,58303187,58489852,58833153,58854021,59045411,59513636,59573411,60199140,60414467,60447698,60564637,61146611,61494011,61591621,61875227,61931186,62010417,62175096,62220947,62294685,63219011,63408025,63794049,64074011,64212416,64325178,64380587,64416205,64575729,65033896,65198965,65372498,65600411,65802707,65975109,66273611,66412732,66436485,66447664,66475717,66594698,66965710,67277411,67339038,67666165,67809827,67828728,68715685,68967347,69028298,69099011,69591611,69745096,69946983,70049747,70239698,70376027,70481546,70865584,71394001,71554216,71765733,71834387,72238968,72381107,72701627,72861587,73163133,73226812,73276547,73652817,73821925,74102411,74753622,75167656,75174227,75706667,76089630,76174547,76267907,76299011,76307319,76485467,76733627,76745830,76875772,76971976,77043107,77194826,77235697,77299446,77332648,77567387,77659667,78208405,78238758,78463233,78618698,78761411,79032205,79065611,79473532,79520411,79585990,79671611,79723782,79943267,80244347,80358852,80498493,80575816,81053267,81162272,81199398,81268839,81994405,82458822,82624187,82918067,83678411,84131356,84143627,84358437,84532648,84563613,84728906,85019480,85269011,85660298,85698611,86075437,86297027,86520910,86593473,86976611,86999229,87033037,87053066,87142405,87230267,87681925,87978698,87988030,88171797,88209746,88544387,88586310,89236187,89397685,89995381,90196307,90647793,90718693,91011467,91092587,91196565,91307556,91765787,92023150,92060411,92094996,92220707,92679169,92726411,92964947,93017867,93097187,93220689,93255611,93281987,93471573,93484106,93519011,93850086,94200107,94434611,94492064,94538627,94620626,94724497,94838646,94847498,94965310,95099229,95266285,95284648,95366147,95503188,95642056,95646915,95665300,95738277,96465227,96665950,96882866,96922173,97122611,97223267,97276336,97348907,97362285,97456252,97524467,97749611,98000461,98098547,98123411,98393286,98470667,99380867,99743917,...,433812233038612892335690950955455314320820691010094025152931883437854197062497393725556770008502301296979544792308350761119547777183589229852170600523265300210253290393735961927414017160563777227079437117651491759855725744802983484350325518760128616774945645418893337239570388791687485871212651896789244240605726850459445268774662778439625995736747166710917576052785844491509138486435740737462902230845063634385197414882618743547414501889937716296970027586782687482273805743914926158592695184586935478956427183343191585794105744187241705889250490265250532053786693870515398917683791723399485491124290370404028548633711380089276656800893435539342702126464402145498499815922995023665952863947448934088702626741509438837683561355314955557546243317080848550578266225458861882792418245193101563321828096431981097730256168415907709081152377995769001727320352456242618661383544948726598773810875359799887666651984536420871772113762330109339330495613830488540898749543594406097817105349041685325423866596817147577743395176480075811961981578468547733308623422913880025800445028721149514177468685924547733665101095914638282984372396958865828028899654921552469252833817834160767790568907024734407858065337163083344579143141498486514366363560855850550079771586273512674091610363188226148327045608993939787709345585169300168062580323162193634129126767038832676686818330027062660774224231156098535689905776307003171685909200311314528746322704125192862912300672991565566751190846650122369625800446897658365531736079102196544857479864970666396500011022732559788671629848861422545252679687767480382579825864888867857635038363482978400981695897850547559151615783198630543181567906852559263409302638603470182666810152156989747399096796251930799585294212165211702336323634345844680573248113143981622441467812096976276856926188133456068037089882684522408291089258097769079318477414452326780789910003505853030997317357385262041382543865356658936930701221483396267407553635743782493452728103595006366803377002669546819966681524718634347170759866512272409162092860222277602261321788844600481609459443468471447331775327344879754888604548518489548918394769987674320415006539647533332318031493871509700840955637755485277536418456811435161813751458075435517291097187141170344231166548300634393018478953332174943646270041573077804526920891017836396482386649201972299035448903639360665329440021180688480290843281581298688863632561885406483043079123539961836429897568007735239478882441475195354268693950849427400580394718582940856297363625106539516974746750066440330967043034639289995516611066816351812561581236280086267605299308202608019626732196089899778261730277651959938512538778272494772327781208660235927985033847765310982558630329968653600135388641847772093577202878788562061680675869682461869839732897661713322143311830444855548455507244424577573319172036933186095515388594185919780334154223290928853973462945592477781154111279312914974855564018633290827047673941294868275067477700858729100165317691903436176758701635600026974567018432305847611414201660828533216100783611005853021705734777332388606425904504601867155216753228798797379716975191143584141050165035978769863828041160336353744913495592355362075724395464060271343817779063886536476121178045532745741032343248902353940308939025720420443866734889243133998498486536926773747556740944191909561987060535696541846880199429762264266059916229592198553314081978488540897642708063671307582247297995496735031790581835793026423129270850473429972864770577107346757196564719591853870815704446418598382764106577635594961942108557884905689085867198825240057807760933309096792390729213781923321987042666337478721360138175514935462530163871635574477886993693818058514927649497096013844311807479490321}
23389  84092307561533584001953802706096101981787761335001444786004872510995737423050: {1191819,1519115,1799567,1822938,2032059,2126579,2570810,3037970,3084972,3290799,3598826,3645564,3709947,4128879,4580716,5141180,5769179,6169416,6220299,6543880,6940593,7025039,7361865,7472559,7520954,7852656,8508515,8764125,8834238,9160648,9348400,9763226,9958067,10035770,10210218,10305729,10323794,10516950,10744220,11218080,11226059,11585567,11965952,12042924,12268725,12620340,12893064,13043147,13086640,13396586,13461696,13704699,13746671,14225810,14504697,14511539,14605625,14722470,15144408,15353114,15703968,15771279,16403099,16550810,16784159,17037459,17070972,17180207,17308634,17471036,17526750,17666964,18233195,18405779,18655419,18695200,18997946,19058159,19137980,19263146,19860972,20730770,20998715,21032100,21321167,21879834,21933020,22073018,22417247,22434240,22965576,23926019,23929856,23977370,23983599,24173507,24447515,24599306,24726620,24800079,24851848,24872978,24876924,25133147,25198458,25238520,25719578,25836273,26131631,26293970,26319624,26430447,26749187,26921088,27071114,27518780,27887315,27899531,27958329,28106099,28393335,28505594,28772844,29020586,29073359,29337018,29352914,29354819,29395667,29609577,29671944,30286224,30458810,30491247,30896139,31282499,31328339,31552764,31578664,32136338,32312939,32367179,32481647,32916506,32917359,33022536,33272858,33283725,33380937,33464778,33964127,34072002,34104074,34933179,34959791,35362787,35502640,35525997,36106115,36151199,36343466,36550572,37150353,38152715,38580047,38673020,38718239,38948619,39108947,39702554,39940470,40151570,40490186,40641167,40744019,40948239,41457980,41533370,41651306,41692245,41941946,41993810,42092732,42145419,42236195,42533018,42603168,42915515,43327338,43731436,44054627,44136399,44471728,44653211,44754770,44931279,44990699,45258299,45759119,45783258,46024508,46121979,46128938,46185227,46407624,46761866,47023580,47928564,48181884,48240236,48337115,48358408,48375407,49385324,49633625,49677386,49749576,49840044,50030694,50046866,50100765,50225567,50261978,50386739,50392572,50471247,50683434,50848619,51498618,51644570,51913139,52183547,52208577,52439547,52567787,53062115,53084747,53440816,53705724,53770607,53979419,54384572,54403209,54775226,55311770,55968273,56185864,56428296,56832218,56904659,57010271,57823154,58004538,58058810,58141706,59350137,59560350,59781515,60120918,61026959,61973484,62007386,62252444,62473480,62559626,62609939,62855306,62876579,63209097,63481833,63531040,63545786,63674538,64135947,64199171,64312139,64765725,65035676,65370170,65680779,65771699,65798195,66374124,67066799,67350479,67666067,68375919,68462915,69083440,69128195,69670572,70100147,70282665,70503839,70654925,71016988,71459099,71472420,71737818,71750810,71801354,73112315,73496411,73623119,73734447,73942492,73966067,74115579,74256719,74392045,74533916,74968176,75244936,75248925,75368291,76074938,76138106,76237248,76248539,77123567,77718870,77910767,78211178,78394259,78444204,78472028,78729578,78957834,79428747,79746971,79835939,79905746,80265520,81292370,81692859,82155498,82424786,82628219,82680556,82900128,82953834,83015915,83059580,83179499,83374067,83686799,83745131,83807699,84339198,84650553,84699579,84785910,85058732,85116794,85220426,85269866,85412987,85766904,86100972,86571759,86736539,86888987,86988047,87181370,87319119,87734778,87966812,88125961,88310618,88408331,88581980,89270454,89442770,89785384,90095699,90298710,90438304,90508826,90671547,90871466,91175567,91349786,91370834,91533515,92469227,92844431,92895407,92896779,93262644,93843347,93959570,94166474,94324847,94702874,94767707,95026139,95529119,95687644,96094715,96214970,96318624,96487767,96665810,97550844,97701779,98058747,98203756,99341915,99619098,99671496,99815759,99892047,...,578416310718150523114254601273940419094427588013458700203909177917138929416663191634075693344669735062639393056411134348159397036244785639802894134031020400280337720524981282569885356214085036302772582823535322346474300993070644645800434025013504822366594193891857782986093851722249981161616869195718992320807635800612593691699550371252834660982329555614556768070381125988678851315247654316617202974460084845846929886510158324729886002519916955062626703449043583309698407658553234878123593579449247305275236244457588781058807658916322274519000653687000709405048925160687198556911722297865980654832387160538704731511615173452368875734524580719123602835285869527331333087897326698221270485263265245451603502322012585116911415140419940743394991089441131400771021633945149177056557660257468751095770795242641463640341557887876945441536503994358668969760469941656824881844726598302131698414500479733183555535979381894495696151683106812452440660818440651387864999391459208130422807132055580433898488795756196770324526901973434415949308771291396977744831230551840034400593371628199352236624914566063644886801461219517710645829862611821104038532873228736625670445090445547690387425209366312543810753782884111126105524188664648685821818081141134066773028781698016898788813817584301531102727478658586383612460780225733557416773764216258178838835689385110235582424440036083547698965641541464714253207701742670895581212267081752704995096938833590483883067563988754089001587795533496492834400595863544487375648105469595393143306486627555195333348030310079718228839798481896727003572917023307176773101153185157143513384484643971201308927863800730078868821044264840724242090542470079017879070184804626910222413536209319663198795728335907732780392282886948936448431512461126240764330817525308829921957082795968369142568250844608090716119843579363211054785677463692105757969885936435707719880004674470707996423143180349388510058487142211915907601628644528356543404847658376657936970804793341822404502670226062426622242032958179129561013155349696545549457146963036803015095718459467308812612591291295263109033769793173006518139398024652731891193026650232427220008719530044443090708658495346267787940850340647036715224609081913549085001944100580689721462916188227125641555397734179190691305271109566591528360055430770406035894521357115195309848865602629732047265204852480887105920028240917973721124375441731585151510082513875310724105498053282448573196757343646985971843255300260472358258601132569867440526291443921141729818166808719355966329000088587107956057379519053327355481422421802416748774981706781690140399077603477359502309594786533037682307036869279918016718371029993029770374944880314570646711797020414643411507106624871466847184855797029458102937171718082748907567826243282493119643863548951096191082440593140731274009659232770097758896049244248127353851458914559707112205631054571805297950594123303708205481705750553299807418691511054436063565255059824366756636934478305466887090255871248235678268847466702632756024576407796815218935547771377621467711481341137362274313036443184808567872672802489540289004305065063172955966921524778854733553381305026485104054880448471659884660789807149434299193952080361791757038751848715301494904060710327654709790998536471920411918700960560591822313185657511997997982049235698330075654592255879415982747380928722462506932573016352354746554972789598071085442637984721196856944084895076776329730660662313375720775781057368564172361133964573297153027436143129009595419626122471827754272595224797843685475436847459949256144743846540918781156265100320077077014577745462389854305618375897762649390221783304961813517567353247283373551828847432637182658258424078019903532662794685125749076639320428}
23390  84391605012482246707772270615753146437606933216140855599209360061830901889067: {444049,794614,888022,1448134,1589092,1841569,2259421,2430584,2709412,2734407,2845894,3125014,3231889,3786001,3856215,4113296,4200829,4387732,4477021,4518454,4556955,4627458,4860752,4946596,5074822,5166241,5398239,5468346,5505172,5725895,6370774,6426475,6871074,7632529,7711770,7768861,8015567,8041309,8179850,8225888,8293732,8308822,8585341,8721169,8861254,9128221,9229222,9254124,9815820,9963412,10470208,10606822,11281431,11450810,11685500,11778984,11889334,12529414,13251357,13430275,13613624,13740972,13829281,13962301,14022600,14171734,14627014,14644839,14957440,15053655,15263734,15288541,15315327,15485691,15685009,15775425,15990454,16057232,16081222,16116330,16358300,16534822,16739089,16827120,16897414,17001889,17190752,17395549,17948928,18064386,18272932,18572641,18930510,19339596,19354129,19629960,20094879,20192544,20392081,20938624,21028372,21038461,21338715,21408214,21745367,21838795,22083705,22305574,22582429,22716612,22761296,22838749,23029671,23369000,23555952,23922475,24243361,24826215,24873892,24878941,25606458,25962951,26057014,26206554,26290125,26323894,26481296,26500446,26648989,27277729,27389974,27403261,27416275,27631331,28042800,28188022,28279969,28496919,28654621,28706970,28894719,29173112,29277601,29426854,29791458,29912320,30045094,30620768,30765409,30908275,31064810,31088167,31096155,31367254,31382269,31548150,31751521,31874461,31978132,32158822,32598022,32819751,32899530,33066772,33109527,33169232,33466129,33597944,33651360,33831709,34000774,34398475,34448364,34788022,35092832,35240596,35894784,35966055,36132001,36898959,37055014,37089930,37277772,37309467,37315386,37690909,37797687,37837222,37857780,38363792,38406301,38579367,38618134,38644189,38881789,38912762,39116024,39440955,39473330,39474529,39479436,39484294,39562592,39916774,40065469,40183441,40301341,40381632,40606671,40654996,40780534,41194852,41278170,41298022,42070352,42245254,42313607,42503254,42644221,42758391,42760609,42993169,43159266,43530879,43889812,44005527,44029371,44030048,44378300,44390854,44507916,44619704,44647654,44958301,45429336,45532321,45588022,45673414,45688215,46218769,46441222,46577572,46674961,46760714,47016349,47329146,47367996,47583889,47923549,48204507,48341275,48734096,48906454,49162631,49374759,49414822,49533804,49753414,49836049,49909287,49947901,50171389,50197167,50260822,51108003,51156111,51822475,51931492,52280161,52615915,53253960,53964214,54362941,54466822,54515199,54550534,54597652,54664295,54825858,54906721,55123729,55340449,55556881,55589660,55720822,56193892,56471494,56554822,56742109,56804224,57304054,57491809,57530635,57598621,57769784,58009530,58301014,58662781,58779475,58848532,59553831,59908372,59910705,59957494,60227355,60300295,60448010,60735279,61044344,61187389,61495972,61731655,61812061,61876832,62019709,62186970,62300055,62330641,62476959,62676694,62912919,62990715,63139098,63259549,63661174,63799527,63904752,63988822,64242512,64896541,64991007,65099869,65597154,65839319,66313789,66332768,66453392,66615649,66707592,66801020,67017121,67132155,67190096,67294996,67317469,67577912,67657222,67980715,68387014,68549014,68664824,68674887,69007201,69036762,69193407,69598609,69611436,69761974,69919396,70089469,70142799,70232330,70383121,70535370,70568614,70773649,71212774,71454301,71607632,71744929,71841661,71892846,72272826,72360354,72420541,72537612,72709009,72996829,74077986,74331421,74516079,74624364,74760066,75046041,75070299,75181921,75237728,75374854,75392967,75588858,75839389,76025151,76120081,76306849,76679521,76805494,77051041,77201974,77247927,77281222,77339384,77466855,77606161,77756374,77815555,78091850,78151894,78433981,78562211,78941734,79133516,79413800,79891261,79981729,80161224,80252701,80359414,80516614,80558586,81223222,81294595,81576858,81693574,81896551,81928534,82162839,82631312,82662289,82967655,84278796,84642444,84899384,85047574,85248327,85435654,85514596,85978294,86354300,86391421,86476561,86734731,87006807,87088215,87212559,87574372,88218022,88247869,88498832,88771235,89340525,89831494,90181377,90182687,90723229,90979654,91048381,91167892,91278551,91291489,91372381,91743094,91856221,92097169,92257441,92428115,92894096,92960226,92975101,93011079,93167395,93292189,93378666,93710220,93751994,93839439,94056170,94158241,94282959,94314769,94704829,94705222,94732631,95296560,95318679,95511807,95650424,95762614,96201959,96290134,96475921,96515974,97309501,97384849,97535329,97553514,98055255,98090035,98134369,98312596,98728801,98820772,99140134,99171601,99561186,99662614,99886294,99957568,...,867624466077225784671381901910910628641641382020188050305863766875708394124994787451113540017004602593959089584616701522239095554367178459704341201046530600420506580787471923854828034321127554454158874235302983519711451489605966968700651037520257233549891290837786674479140777583374971742425303793578488481211453700918890537549325556879251991473494333421835152105571688983018276972871481474925804461690127268770394829765237487094829003779875432593940055173565374964547611487829852317185390369173870957912854366686383171588211488374483411778500980530501064107573387741030797835367583446798970982248580740808057097267422760178553313601786871078685404252928804290996999631845990047331905727894897868177405253483018877675367122710629911115092486634161697101156532450917723765584836490386203126643656192863962195460512336831815418162304755991538003454640704912485237322767089897453197547621750719599775333303969072841743544227524660218678660991227660977081797499087188812195634210698083370650847733193634295155486790352960151623923963156937095466617246845827760051600890057442299028354937371849095467330202191829276565968744793917731656057799309843104938505667635668321535581137814049468815716130674326166689158286282996973028732727121711701100159543172547025348183220726376452296654091217987879575418691170338600336125160646324387268258253534077665353373636660054125321548448462312197071379811552614006343371818400622629057492645408250385725824601345983131133502381693300244739251600893795316731063472158204393089714959729941332793000022045465119577343259697722845090505359375534960765159651729777735715270076726965956801963391795701095118303231566397261086363135813705118526818605277206940365333620304313979494798193592503861599170588424330423404672647268691689361146496226287963244882935624193952553713852376266912136074179765369044816582178516195538158636954828904653561579820007011706061994634714770524082765087730713317873861402442966792534815107271487564986905456207190012733606754005339093639933363049437268694341519733024544818324185720444555204522643577689200963218918886936942894663550654689759509777209097036979097836789539975348640830013079295066664636062987743019401681911275510970555072836913622870323627502916150871034582194374282340688462333096601268786036957906664349887292540083146155609053841782035672792964773298403944598070897807278721330658880042361376960581686563162597377727265123770812966086158247079923672859795136015470478957764882950390708537387901698854801160789437165881712594727250213079033949493500132880661934086069278579991033222133632703625123162472560172535210598616405216039253464392179799556523460555303919877025077556544989544655562417320471855970067695530621965117260659937307200270777283695544187154405757577124123361351739364923739679465795323426644286623660889711096911014488849155146638344073866372191030777188371839560668308446581857707946925891184955562308222558625829949711128037266581654095347882589736550134955401717458200330635383806872353517403271200053949134036864611695222828403321657066432201567222011706043411469554664777212851809009203734310433506457597594759433950382287168282100330071957539727656082320672707489826991184710724151448790928120542687635558127773072952242356091065491482064686497804707880617878051440840887733469778486267996996973073853547495113481888383819123974121071393083693760398859524528532119832459184397106628163956977081795285416127342615164494595990993470063581163671586052846258541700946859945729541154214693514393129439183707741631408892837196765528213155271189923884217115769811378171734397650480115615521866618193584781458427563846643974085332674957442720276351029870925060327743271148955773987387636117029855298994192027688623614958980642}
23391  84691960742262804859595304493581433094164246078563955559414452624652856785825: {1191921,1332033,1986365,2126761,2172201,2383638,2827649,3038230,3386765,3599134,3645876,4064118,4253158,4268841,4687521,5141620,5484665,5909321,6075940,6169944,6183245,6581598,6750173,6777681,6881465,6941187,7197652,7291128,7419894,7612233,8202519,8257758,9161432,9556161,10282360,10306611,10367165,10525889,11538358,11567655,11911921,12063161,12269775,12338832,12440598,12454265,12463233,13087760,13291881,13599641,13843833,13881186,14050078,14606875,14723730,14945118,15041908,15135329,15567113,15705312,15910233,16263101,17017030,17176215,17528250,17668476,17834001,18321296,18638273,18696800,18794121,19526452,19623053,19916134,20071540,20303881,20420436,20447875,20611458,20647588,21012221,21033900,21257601,21270161,21488440,21940521,21997361,22436160,22452118,22801889,22841165,22895601,23171134,23931904,23985681,24085848,24121833,24174495,24537450,24802233,25210001,25240680,25346121,25526473,25786128,25862969,26086294,26173280,26285465,26793172,26923392,27017449,27096579,27409398,27493342,27728669,28395765,28451620,29009394,29023078,29211250,29398201,29444940,30288816,30706228,31092365,31407936,31542558,32112321,32806198,32863601,32972173,33101620,33458361,33568318,34074918,34141944,34226521,34360414,34617268,34942072,34962793,35053500,35333928,36466390,36811558,37087801,37310838,37390400,37995892,38044001,38116318,38275960,38387401,38409687,38526292,39042241,39085521,39309831,39485841,39721944,39750669,39972665,41084961,41333465,41461540,41997430,42064200,42282033,42642334,43060455,43759668,43866040,44050745,44140281,44146036,44687187,44834494,44868480,45067641,45537433,45594601,45682769,45931152,46597215,47050881,47322225,47652113,47852038,47859712,47954740,47956169,47967198,48238233,48347014,48379561,48720089,48895030,48897033,49198612,49349295,49453240,49600158,49703696,49745956,49753848,50266294,50396916,50477040,50548561,50624381,50818745,51001161,51439156,51463073,51493565,51672546,52182033,52263262,52572301,52587940,52639248,52860894,53413801,53498374,53842176,54142228,54582541,54862265,55037560,55472875,55582521,55634895,55774630,55799062,55916658,55973079,56032553,56212198,56340929,56755833,56786670,57011188,57545688,57927201,58017881,58041172,58146718,58221965,58369143,58674036,58705828,58709638,58791334,59130673,59209995,59219154,59226441,59343888,59875161,60081721,60572448,60917620,60982494,61170801,61792278,61917255,61947033,62564998,62656678,63105528,63157328,63367881,63547081,63754881,64272676,64625878,64734358,64738899,64914365,64963294,65833012,65834718,66045072,66545716,66567450,66586281,66761874,66877481,66929556,66971481,67671961,67765169,67928254,68144004,68208148,68234141,68247065,68382033,68510121,69487075,69661833,69866358,69919582,70141071,70242365,70725574,70993719,71005280,71051994,71399009,71878273,72212230,72302398,72686932,72793433,73101144,73359681,73560665,74122233,74286961,74300706,74409401,74630121,74885465,75391233,76305430,76869965,77160094,77346040,77436478,77897238,78217894,78565129,79044793,79405108,79880940,80303140,80420681,80946321,80980372,81282334,81488038,81700233,81825801,81896478,82238787,82915960,83066740,83302612,83384490,83501275,83581233,83694121,83883892,83987620,84118745,84185464,84290838,84472390,84707241,84832233,85066036,85206336,85831030,85956081,86583949,86654676,87014295,87399245,87451521,87462872,87617113,88109254,88272798,88609561,88943456,89115041,89306422,89413841,89509540,89862558,89936241,89981398,90516598,90672015,90909929,91518238,91566516,92049016,92076361,92117473,92243958,92257876,92370454,92815248,93280455,93523732,94015041,94047160,94708647,95469113,95491761,95848081,95857128,95983233,96363768,96480472,96674230,96716816,96750814,96779473,96979921,98395731,98770648,98916895,99267250,99354772,99499152,99680088,...,1301436699115838677007072852866365942962462073030282075458795650313562591187492181176670310025506903890938634376925052283358643331550767689556511801569795900630759871181207885782242051481691331681238311352954475279567177234408950453050976556280385850324836936256680011718711166375062457613637955690367732721817180551378335806323988335318877987210241500132752728158357533474527415459307222212388706692535190903155592244647856230642243505669813148890910082760348062446821417231744778475778085553760806436869281550029574757382317232561725117667751470795751596161360081611546196753051375170198456473372871111212085645901134140267829970402680306618028106379393206436495499447768985070997858591842346802266107880224528316513050684065944866672638729951242545651734798676376585648377254735579304689965484289295943293190768505247723127243457133987307005181961057368727855984150634846179796321432626079399662999955953609262615316341286990328017991486841491465622696248630783218293451316047125055976271599790451442733230185529440227435885944735405643199925870268741640077401335086163448542532406057773643200995303287743914848953117190876597484086698964764657407758501453502482303371706721074203223574196011489250033737429424495459543099090682567551650239314758820538022274831089564678444981136826981819363128036755507900504187740969486580902387380301116498030060454990081187982322672693468295607069717328921009515057727600933943586238968112375578588736902018974696700253572539950367108877401340692975096595208237306589634572439594911999189500033068197679366014889546584267635758039063302441147739477594666603572905115090448935202945087693551642677454847349595891629544703720557677790227907915810410548000430456470969242197290388755792398755882636495635107008970903037534041719744339431944867324403436290928830570778564400368204111269648053567224873267774293307237955432243356980342369730010517559092991952072155786124147631596069976810792103664450188802222660907231347480358184310785019100410131008008640459900044574155903041512279599536817227486278580666832806783965366533801444828378330405414341995325982034639264665813645555468646755184309963022961245019618942599996954094481614529102522866913266455832609255370434305485441254374226306551873291561423511032693499644901903179055436859996524830938810124719233413580762673053509189447159947605916897106346710918081995988320063542065440872529844743896066590897685656219449129237370619885509289692704023205718436647324425586062806081852548282201741184155748822568892090875319618550924240250199320992901129103917869986549833200449055437684743708840258802815897924607824058880196588269699334785190832955879815537616334817484316983343625980707783955101543295932947675890989905960800406165925543316280731608636365686185042027609047385609519198692985139966429935491334566645366521733273732719957516110799558286546165782557759341002462669872786561920388836777433343462333837938744924566692055899872481143021823884604825202433102576187300495953075710308530276104906800080923701055296917542834242604982485599648302350833017559065117204331997165819277713513805601465650259686396392139150925573430752423150495107936309591484123481009061234740486777066086227173186392180814031453337191659609428363534136598237223097029746707061820926817077161261331600204667729401995495459610780321242670222832575728685961181607089625540640598289286792798179748688776595659942245935465622692928124191013922746741893986490205095371745507379079269387812551420289918594311731322040271589694158775561612447113339255795148292319732906784885826325673654717067257601596475720173423282799927290377172187641345769965961127999012436164080414526544806387590491614906723433660981081454175544782948491288041532935422438470963}
23392  84993378468323731594131717611490960712307847666212874288056032744988721989347: {537487,888098,1236967,1376647,1589228,1655791,1776044,2352391,2630527,2896268,3178184,3575457,3683138,4431391,4518842,4557345,4861168,5396047,5398701,5418824,5468814,5691788,6096177,6250028,6379737,6427025,6463778,6768007,7178191,7572002,7594925,7712430,8016253,8132767,8226592,8401658,8775464,8948167,8954042,8997065,9036908,9113910,9254916,9625687,9721504,9872397,9893192,9896191,10149644,10301407,10332482,10796478,10936692,11010344,11129841,11244391,11451790,11915791,12386637,12741548,12852950,13742148,14583391,14848567,15265058,15423540,15510247,15537722,15906391,16031134,16082618,16359700,16451776,16587464,16617644,17170682,17307537,17442338,17484487,17722508,18256442,18458444,18508248,18530791,18660897,18802385,19631640,19832191,19926824,20480191,20821779,20940416,21075117,21213644,22028047,22085595,22417677,22562862,22901620,23371000,23437807,23557968,23778668,24408065,24711847,25058828,25089425,25525545,25809485,25852327,26292375,26502714,26860550,27227248,27481944,27658562,27865447,27924602,28045200,28343468,28365847,28740391,29114287,29254028,29289678,29874201,29914880,29984191,30107310,30527468,30574313,30577082,30630654,30917187,30971382,31370018,31550850,31980908,32114464,32162444,32232660,32450191,32716600,32817607,33062191,33069644,33478178,33491465,33654240,33678177,33794828,33915967,34003778,34280791,34381504,34756701,34791098,35250487,35564525,35897856,36128772,36545864,36740561,36806175,37056247,37145282,37861020,38382785,38679192,38708258,39129441,39259920,39320287,40189758,40265791,40385088,40619167,40784162,40854391,41114097,41240013,41377025,41877248,42056744,42076922,42259687,42677430,42816428,43271585,43490734,43514091,43534617,43677590,43816875,44117287,44167410,44611148,45164858,45433224,45522592,45677498,46059342,46738000,46869127,47111904,47313837,47437207,47494865,47844950,48157865,48486722,49130647,49209297,49652430,49747784,49757882,50027191,50352477,50585191,51112377,51212916,51540621,51826925,51925902,52114028,52413108,52580250,52647788,52962592,53000892,53019007,53297978,54440791,54555458,54658447,54699585,54779948,54806522,54832550,55182545,55217337,55262662,55850407,55966257,56066191,56085600,56376044,56389327,56559938,56819167,56993838,57174477,57309242,57413940,57789438,58346224,58420807,58555202,58853708,59582916,59585047,59824640,59943425,60090188,61158607,61241536,61498265,61530818,61575487,61816550,62129620,62176334,62182445,62192310,62734508,62764538,62996145,63096300,63503042,63748922,63956264,63963501,64298945,64317644,64461391,64767247,65196044,65639502,65734925,65799060,66133544,66219054,66338464,66789727,66932258,67195888,67251741,67302720,67490791,67663418,67677785,68001548,68188327,68796950,68896728,69576044,70185664,70259767,70481192,71263985,71778057,71789568,71932110,71950797,72264002,72520521,72551465,73342545,73382285,73662281,73797918,74110028,74179860,74400237,74555544,74618934,74630772,74780791,74969647,75252391,75381818,75399441,75595374,75674444,75715560,76147025,76376887,76470127,76530013,76727584,76812602,77158734,77236268,77288378,77398567,77508819,77583391,77763578,77767927,77825524,77860087,78232048,78394893,78686287,78881910,78946660,78949058,78958872,78960391,78968588,79125184,79291341,79597447,79833548,80130938,80247561,80340845,80366882,80542889,80602682,80763264,80771191,81040327,81213342,81309992,81398167,81561068,81665791,82291265,82389704,82556340,82596044,83182145,83433391,83661945,83698593,83874987,84140704,84318297,84420413,84490508,84627214,84740191,84913207,85006508,85180005,85260185,85288442,85344487,85516782,85521218,85986338,86318532,86424317,87051607,87061758,87136207,87220077,87473887,87544589,87558127,87726391,87779624,88011054,88058742,88060096,88064457,88145791,88187001,88756600,88781708,88828731,89015832,89227807,89239408,89295308,89916602,90215791,90461167,90858665,90858672,91031191,91064642,91176044,91346828,91376430,91473741,92240791,92437538,92480767,92640391,92688417,92882444,93038191,93155144,93349922,93521428,93847497,93985017,94032698,94658292,94735992,95167778,95173001,95387191,95541487,95847098,95925967,96308647,96409014,96537391,96682550,96786833,96938817,97101537,97444941,97468192,97812908,98045791,98195047,98325262,98418391,98749518,98752077,98829644,99067608,99256385,99506828,99672098,99818574,99851175,99895802,...,1735248932154451569342763803821821257283282764040376100611727533751416788249989574902227080034009205187918179169233403044478191108734356919408682402093061200841013161574943847709656068642255108908317748470605967039422902979211933937401302075040514467099782581675573348958281555166749943484850607587156976962422907401837781075098651113758503982946988666843670304211143377966036553945742962949851608923380254537540789659530474974189658007559750865187880110347130749929095222975659704634370780738347741915825708733372766343176422976748966823557001961061002128215146775482061595670735166893597941964497161481616114194534845520357106627203573742157370808505857608581993999263691980094663811455789795736354810506966037755350734245421259822230184973268323394202313064901835447531169672980772406253287312385727924390921024673663630836324609511983076006909281409824970474645534179794906395095243501439199550666607938145683487088455049320437357321982455321954163594998174377624391268421396166741301695466387268590310973580705920303247847926313874190933234493691655520103201780114884598056709874743698190934660404383658553131937489587835463312115598619686209877011335271336643071162275628098937631432261348652333378316572565993946057465454243423402200319086345094050696366441452752904593308182435975759150837382340677200672250321292648774536516507068155330706747273320108250643096896924624394142759623105228012686743636801245258114985290816500771451649202691966262267004763386600489478503201787590633462126944316408786179429919459882665586000044090930239154686519395445690181010718751069921530319303459555471430540153453931913603926783591402190236606463132794522172726271627410237053637210554413880730667240608627958989596387185007723198341176848660846809345294537383378722292992452575926489765871248387905107427704752533824272148359530738089633164357032391076317273909657809307123159640014023412123989269429541048165530175461426635747722804885933585069630214542975129973810912414380025467213508010678187279866726098874537388683039466049089636648371440889110409045287155378401926437837773873885789327101309379519019554418194073958195673579079950697281660026158590133329272125975486038803363822551021941110145673827245740647255005832301742069164388748564681376924666193202537572073915813328699774585080166292311218107683564071345585929546596807889196141795614557442661317760084722753921163373126325194755454530247541625932172316494159847345719590272030940957915529765900781417074775803397709602321578874331763425189454500426158067898987000265761323868172138557159982066444267265407250246324945120345070421197232810432078506928784359599113046921110607839754050155113089979089311124834640943711940135391061243930234521319874614400541554567391088374308811515154248246722703478729847479358931590646853288573247321779422193822028977698310293276688147732744382061554376743679121336616893163715415893851782369911124616445117251659899422256074533163308190695765179473100269910803434916400661270767613744707034806542400107898268073729223390445656806643314132864403134444023412086822939109329554425703618018407468620867012915195189518867900764574336564200660143915079455312164641345414979653982369421448302897581856241085375271116255546145904484712182130982964129372995609415761235756102881681775466939556972535993993946147707094990226963776767638247948242142786167387520797719049057064239664918368794213256327913954163590570832254685230328989191981986940127162327343172105692517083401893719891459082308429387028786258878367415483262817785674393531056426310542379847768434231539622756343468795300960231231043733236387169562916855127693287948170665349914885440552702059741850120655486542297911547974775272234059710597988384055377247229917961284}
23393  85295861921086340532860863127616514980737375765349721014504068510194904608908: {1332147,1986535,2220055,2383842,2664066,2780911,2827891,3341767,3620335,3972730,4253522,4344402,4741471,4767276,5524707,5655298,6076460,6773530,6778263,6983743,7114735,7198268,7291752,7544311,7678531,7812535,8128236,8203221,8506316,8537682,8656543,9375042,9634051,9695667,10283240,10969330,11039347,11296135,11358003,11568645,11818642,12151880,12339888,12366490,12439687,12602487,12687055,13163196,13431063,13500346,13555362,13670865,13762930,13882374,14256463,14395304,14514031,14582256,14680231,14839788,15224466,15498723,15648391,15926935,16072303,16194717,16405038,16515516,16640707,17056423,17177685,17435971,17887207,18176407,18205891,18322864,19112322,19279425,19856383,20449625,20564720,20613222,20734330,20772055,20831011,20976367,21051778,22153135,22803847,22897587,23070403,23073055,23076716,23135310,23306583,23484247,23823842,24046701,24123927,24126322,24539550,24677664,24881196,24908530,24926466,25029871,25137463,25756023,26163507,26175520,26375107,26517055,26583762,26947687,27199282,27384663,27687666,27762372,28100156,28627025,28923367,29081287,29213750,29447460,29640991,29723335,29890236,30083816,30270658,30565327,31134226,31287871,31323535,31410624,31633027,31820466,31977631,32526202,32866423,33504691,33844293,34034060,34352430,35056500,35336952,35429335,35668002,35829007,36567535,36642592,36729907,36799651,37276546,37393600,37588242,38159335,38387071,39052904,39115663,39185791,39246106,39754071,39832268,39976135,40143080,40203055,40290825,40607762,40840872,40895750,41222916,41295176,41337055,41487843,41886903,42024442,42067800,42243535,42319747,42326311,42515202,42540322,42976880,43529311,43881042,43934517,43994722,44166727,44872320,44904236,45160965,45266071,45603778,45682330,45686707,45791202,45865623,45945981,46193191,46342268,46457073,47055027,47326275,47863808,47960287,47971362,48171696,48243666,48348990,49074900,49230247,49307047,49604466,50217267,50420002,50481360,50692242,50857351,51005667,51052946,51263491,51572256,51725938,52172588,52186647,52346560,52570930,53093863,53520535,53586344,53846784,53988727,54034898,54053887,54193158,54818796,54986684,55457338,55717923,55763935,55961731,56345767,56791530,56809027,56903240,57578287,57866851,58018788,58022863,58046156,58062387,58250791,58422500,58796402,58833991,58889880,59089267,59896867,60284637,60577632,60842947,61176243,61412456,61671043,62184730,62815872,63085116,63115383,63864691,64016145,64224642,65142535,65236101,65516385,65612396,65727202,65809735,65890351,65944346,66203240,66251115,66916722,67136636,67747287,68149836,68240023,68283888,68453042,68474935,68516247,68720828,69089013,69234536,69674047,69884144,69925586,70107000,70470055,70588471,70667856,71070787,71146243,71767425,71907187,72090991,72730083,72932780,73305571,73567135,73623116,74175602,74478645,74621676,74636823,74780800,75112735,75261007,75991784,76088002,76193527,76232636,76261687,76551920,76774802,76807171,76819374,77052584,77662025,77888853,78084482,78171042,78418135,78619662,78870375,78925891,78971682,79037023,79184407,79443888,79501338,79945330,79946967,80397055,81495055,81510751,81833187,82169922,82209783,82248825,82666930,82893993,82923080,83994860,84128400,84380647,84564066,84839907,85001935,85284668,85490757,85963863,86120910,86684157,86970055,87519336,87561247,87732080,87832803,87938383,88101490,88280562,88292072,89122723,89374374,89421607,89668988,89736960,90135282,90880111,91074866,91189202,91365538,91669423,91862304,92280871,92296227,92300863,92637535,92724825,93194430,93264501,93288465,94101762,94146807,94593055,94644450,95042623,95254563,95304226,95545891,95623383,95704076,95719424,95899507,95909480,95912338,95934396,96282391,96476466,96535807,96545335,96694028,96759122,97281905,97440178,97790060,97794066,98339311,98387047,98397224,98459253,98683325,98698590,98710735,98906480,99200316,99328581,99407392,99491912,99507696,99791935,...,2602873398231677354014145705732731885924924146060564150917591300627125182374984362353340620051013807781877268753850104566717286663101535379113023603139591801261519742362415771564484102963382663362476622705908950559134354468817900906101953112560771700649673872513360023437422332750124915227275911380735465443634361102756671612647976670637755974420483000265505456316715066949054830918614444424777413385070381806311184489295712461284487011339626297781820165520696124893642834463489556951556171107521612873738563100059149514764634465123450235335502941591503192322720163223092393506102750340396912946745742222424171291802268280535659940805360613236056212758786412872990998895537970141995717183684693604532215760449056633026101368131889733345277459902485091303469597352753171296754509471158609379930968578591886586381537010495446254486914267974614010363922114737455711968301269692359592642865252158799325999911907218525230632682573980656035982973682982931245392497261566436586902632094250111952543199580902885466460371058880454871771889470811286399851740537483280154802670172326897085064812115547286401990606575487829697906234381753194968173397929529314815517002907004964606743413442148406447148392022978500067474858848990919086198181365135103300478629517641076044549662179129356889962273653963638726256073511015801008375481938973161804774760602232996060120909980162375964645345386936591214139434657842019030115455201867887172477936224751157177473804037949393400507145079900734217754802681385950193190416474613179269144879189823998379000066136395358732029779093168535271516078126604882295478955189333207145810230180897870405890175387103285354909694699191783259089407441115355580455815831620821096000860912941938484394580777511584797511765272991270214017941806075068083439488678863889734648806872581857661141557128800736408222539296107134449746535548586614475910864486713960684739460021035118185983904144311572248295263192139953621584207328900377604445321814462694960716368621570038200820262016017280919800089148311806083024559199073634454972557161333665613567930733067602889656756660810828683990651964069278529331627291110937293510368619926045922490039237885199993908188963229058205045733826532911665218510740868610970882508748452613103746583122847022065386999289803806358110873719993049661877620249438466827161525346107018378894319895211833794212693421836163991976640127084130881745059689487792133181795371312438898258474741239771018579385408046411436873294648851172125612163705096564403482368311497645137784181750639237101848480500398641985802258207835739973099666400898110875369487417680517605631795849215648117760393176539398669570381665911759631075232669634968633966687251961415567910203086591865895351781979811921600812331851086632561463217272731372370084055218094771219038397385970279932859870982669133290733043466547465439915032221599116573092331565115518682004925339745573123840777673554866686924667675877489849133384111799744962286043647769209650404866205152374600991906151420617060552209813600161847402110593835085668485209964971199296604701666035118130234408663994331638555427027611202931300519372792784278301851146861504846300990215872619182968246962018122469480973554132172454346372784361628062906674383319218856727068273196474446194059493414123641853634154322522663200409335458803990990919221560642485340445665151457371922363214179251081281196578573585596359497377553191319884491870931245385856248382027845493483787972980410190743491014758158538775625102840579837188623462644080543179388317551123224894226678511590296584639465813569771652651347309434134515203192951440346846565599854580754344375282691539931922255998024872328160829053089612775180983229813446867321962162908351089565896982576083065870844876941926}
23394  85599414843989760462626585795436330730033410731064021484015368863050307830775: {537533,864209,1074974,1423313,1562909,1702433,1776196,1934813,2259809,2352593,2398973,2473934,2753294,3178456,3311582,3552088,3575763,3878909,3996099,4431773,4477793,4569809,4704782,5258909,5261054,5792536,5808893,5959095,6083453,6356368,6380283,6403409,6516603,7087709,7150914,7224353,7366276,7595575,7633853,7770209,8133473,8450909,8482947,8586833,8813213,8862782,8997835,9037684,9114690,9220193,9671633,9722336,9897053,9942113,10160295,10482209,10632895,10792094,10797402,10837648,10937628,11155709,11383576,11961533,12192354,12363473,12500056,12595891,12759474,12806523,12854050,12927556,13165409,13387709,13536014,13831709,14053409,14062563,14356382,14628893,14849873,15144004,15189850,15291233,15379409,15424860,16032506,16265534,16453184,16453995,16803316,16829693,17004893,17136209,17486033,17550928,17727963,17896334,17908084,17994130,18073816,18227820,18509832,18532433,18549735,18575933,18662909,19227473,19251374,19443008,19444253,19744794,19786384,19792382,19877213,20250519,20299288,20333043,20482013,20602814,20644395,20664964,20823561,21128273,21257309,21386273,21592956,21873384,22020688,22259682,22329809,22488782,22671953,22836699,22903580,23482493,23831582,24247709,24332573,24586973,24607557,24773274,24883409,25010333,25483096,25705900,26323339,26653793,27115133,27408209,27484296,28368413,28668483,28742993,28784573,28845895,29158433,29166782,29282909,29697134,30110909,30399953,30530116,30847080,30919833,31020494,31075444,31101495,31470113,31577667,31812782,31839293,32062268,32165236,32494013,32719400,32903552,33174928,33235288,33309533,33472253,33716093,33919073,34171291,34341364,34615074,34702965,34884676,34968974,35011709,35125195,35294033,35414909,35445016,35616209,35735763,36018209,36133279,36189483,36218909,36512884,36739793,36809325,36916888,37016496,37061582,37299233,37321794,37362795,37389699,37538513,37604770,37817309,38413409,38532413,39263280,39481853,39664382,39853648,39875643,40269533,40308833,40387409,40798923,40858193,40960382,40975709,41093153,41531499,41643558,41880832,42150234,42427288,42535709,42542575,42652193,42729809,42846173,43001213,43117409,43420663,43813073,43820625,44056094,44171190,44352353,44835354,44928413,45125724,45405987,45803240,46683773,46701339,46742000,46759709,46875614,46888051,47115936,47328209,47557336,47592893,47730699,48008033,48271709,48384593,48789303,48816130,49135313,49423694,49790335,49845533,49957409,50031953,50069213,50117656,50178850,50255393,50590013,51051090,51257309,51528645,51618970,51704654,51737633,52584750,52620833,53005428,53502003,53721100,53735899,54446033,54454496,54917309,54963888,55206653,55317124,55459409,55639709,55730894,55849204,55914819,56090400,56107553,56130295,56382363,56430653,56686936,56731694,56824673,57074909,57480782,57680993,57927835,58228574,58426493,58508056,58568093,58579356,58744913,58869159,59203709,59731409,59748402,59829760,59968382,60214620,60362273,60537053,60580219,60911643,61054936,61148626,61154164,61199393,61261308,61343625,61824209,61834374,61893473,61942764,62239313,62342909,62740036,63036663,63101700,63772803,63810483,63961816,63990653,64228928,64324888,64465320,64900382,64909409,64977233,65215735,65433200,65484893,65635214,65821563,65822333,65992083,66124382,66139288,66492811,66695933,66829853,66956356,66982930,67030493,67097309,67308480,67356354,67421011,67497533,67530833,67589656,67831934,68007556,68405667,68523495,68526113,68561582,68686803,68733355,68763008,68922209,69086909,69513402,69582196,70070909,70168913,70299473,70500974,70950353,71129050,71144993,71533409,71759453,71795712,71952893,71957043,72257544,72365499,72499409,72523485,72557695,72819809,73028125,73091728,73394513,73481122,73612350,74112494,74290564,74406699,74409809,74819933,75260093,75291473,75448253,75630003,75722040,76038363,76198013,76291409,76384733,76509053,76579419,76757309,76765570,77066909,77255563,77358384,77416516,77588907,77622173,77683709,77775953,77898833,78258882,78519840,78640574,78856395,78998993,79514909,79968209,80379516,80531582,80770176,80779613,81052347,81078653,81238334,81289737,81406673,81568324,81704033,81708782,82015495,82228194,82480026,82754050,82944209,83032253,83186007,83754496,83879633,83920795,84113488,84153844,84257309,84519374,84749153,84778013,85187295,85354860,85632856,85901035,86097571,86324573,86409809,86543170,86750033,86976209,86981468,87028182,87055423,87069234,87173693,87342653,87355180,87633750,87903773,88183133,88194603,88234574,88322513,88334820,89222296,89264993,90018523,90225533,90307409,90329716,90866448,91045184,91068113,91122209,91165975,91203293,91311293,91354996,91526909,91876193,92028895,92118684,92277533,93048353,93127709,93277095,93391709,93476000,93738254,94223808,94231133,94627674,94748899,94874414,94989730,95290795,95397713,95552033,95689900,95859809,96315730,96319313,96336963,96497309,96548093,96927953,96973444,97255709,97331153,97381409,97632209,98056733,98206013,98261294,98418594,98454173,98590803,98800253,98916519,99120209,99304860,99495568,99515764,99769579,...,3904310097347516031021218558599097828887386219090846226376386950940687773562476543530010930076520711672815903130775156850075929994652303068669535404709387701892279613543623657346726154445073995043714934058863425838701531703226851359152929668841157550974510808770040035156133499125187372840913867071103198165451541654135007418971965005956633961630724500398258184475072600423582246377921666637166120077605572709466776733943568691926730517009439446672730248281044187340464251695234335427334256661282419310607844650088724272146951697685175353003254412387254788484080244834638590259154125510595369420118613333636256937703402420803489911208040919854084319138179619309486498343306955212993575775527040406798323640673584949539152052197834600017916189853727636955204396029129756945131764206737914069896452867887829879572305515743169381730371401961921015545883172106183567952451904538539388964297878238198988999867860827787845949023860970984053974460524474396868088745892349654880353948141375167928814799371354328199690556588320682307657834206216929599777610806224920232204005258490345627597218173320929602985909863231744546859351572629792452260096894293972223275504360507446910115120163222609670722588034467750101212288273486378629297272047702654950717944276461614066824493268694035334943410480945458089384110266523701512563222908459742707162140903349494090181364970243563946968018080404886821209151986763028545173182802801830758716904337126735766210706056924090100760717619851101326632204022078925289785624711919768903717318784735997568500099204593038098044668639752802907274117189907323443218432783999810718715345271346805608835263080654928032364542048787674888634111161673033370683723747431231644001291369412907726591871166267377196267647909486905321026912709112602125159233018295834601973210308872786491712335693201104612333808944160701674619803322879921713866296730070941027109190031552677278975856216467358372442894788209930432376310993350566406667982721694042441074552932355057301230393024025921379700133722467709124536838798610451682458835742000498420351896099601404334485134991216243025985977946103917793997440936666405940265552929889068883735058856827799990862283444843587307568600739799367497827766111302916456323763122678919655619874684270533098080498934705709537166310579989574492816430374157700240742288019160527568341479842817750691319040132754245987964960190626196322617589534231688199772693056968658347387712111859656527869078112069617155309941973276758188418245557644846605223552467246467706676272625958855652772720750597962978703387311753609959649499601347166313054231126520776408447693773823472176640589764809098004355572498867639446612849004452452950950030877942123351865304629887798843027672969717882401218497776629948842194825909097058555126082827142156828557596078955419899289806474003699936099565199821198159872548332398674859638497347673278023007388009618359685761166510332300030387001513816234773700076167699617443429065471653814475607299307728561901487859227130925590828314720400242771103165890752628502727814947456798944907052499052677195351612995991497457833140541416804396950779059189176417452776720292257269451485323808928774452370443027183704221460331198258681519559176542442094360011574978828285090602409794711669291089240121185462780451231483783994800614003188205986486378832340963728010668497727186057883544821268876621921794867860378394539246066329786979826737806396868078784372573041768240225681959470615286115236522137237808163437654260869755782935193966120814769082476326684837341340017767385444876959198720354657478977020964151201772804789427160520269848399781871131516562924037309897883383997037308492241243579634419162771474844720170300982943244362526634348845473864124598806267315412889}
23395  85904040993536064912767508718309713168357604801750914181589294418381998452875: {1612461,2220245,2664294,2781149,3108077,3342053,3710901,3949361,3973070,4129941,4440110,4767684,4967373,5068469,5328132,5561822,5655782,6683534,7057173,7240670,7891581,7945460,8431877,8507044,8688804,9207845,9482942,9534552,9960629,10726371,10937549,11049414,11297105,11310596,12152920,13046501,13294173,13547060,13556526,13672035,13967486,14229470,14396536,14583504,15088622,15357062,15625070,15814589,16159445,16188141,16196103,16256472,16406442,16407317,17012632,17075364,17313086,17761877,18288531,18493553,18718733,18750084,18930005,19063061,19139211,19268102,19281075,19391334,20304021,20566480,21004145,21516053,21534573,21938660,22078694,22297709,22385105,22423013,22592270,22716006,22784775,23137290,23637284,24048759,24303760,24398301,24679776,24732980,24879374,25204974,25374110,25831205,26326392,26551229,26756069,26844501,26862126,26950001,26991195,27000692,27110724,27341730,27525860,27764748,28512926,28629475,28790608,28877061,29028062,29080877,29164512,29360462,29617191,29679576,29688573,30448932,30904221,30997446,31014389,31086893,31170581,31296782,31853870,31926449,32132375,32144606,32302277,32389434,32705333,32810076,33031032,33281414,33389523,33733173,34112846,34182161,34355370,34871942,34968797,35747373,35774414,36352814,36411782,36645728,36733061,37123877,37159911,38162645,38224644,38299973,38558850,38844305,39596453,39712766,40077835,40113029,40206545,40537829,40899250,41097293,41129440,41226444,41468660,41544110,41612669,41662022,41952734,42103556,42323381,42903197,42926705,43117457,43605845,43750173,43852949,44306270,44545701,45607694,45641105,45795174,46140806,46146110,46153432,46197173,46270620,46530741,46613166,46968494,47305877,47647684,47719173,48093402,48247854,48252644,48387869,49079100,49311281,49355328,49601069,49762392,49817060,49852932,50059742,50198909,50274926,51194549,51267893,51512046,51922611,52197041,52327014,52351040,52453461,52581329,52707533,52750214,53034110,53167524,53423069,53784533,53895374,53993381,54398564,54591953,54769326,55124261,55375332,55524744,55592373,55966589,55982691,56200312,56284277,56407155,57254050,57738389,57846734,57871877,58162574,58181201,58255793,58427500,58894920,59094341,59140949,59281982,59446670,59496573,59623709,59780472,60167632,60541316,61092293,61130654,61352093,61440573,62268452,62465337,62575742,62647070,62821248,63225351,63266054,63640932,63955262,65052404,65455697,65732846,65755637,66084141,66256785,67009382,67137941,67151375,67253031,67688586,68044517,68068120,68704860,69146405,69811505,70113000,70313421,70673904,70858670,71336004,71377169,71658014,71905301,73072781,73135070,73224195,73285184,73459814,73599302,73642157,74135541,74553092,74787200,74928749,75176484,75268275,75476453,76268261,76318670,76442705,76576635,76624817,76774142,77428455,77556981,78069509,78105808,78231326,78371582,78425045,78492212,78877125,78892997,79433453,79508142,79664536,79952270,80286160,80406110,80581650,81215524,81448253,81681744,81791500,82445832,82590352,82674110,82975686,83047061,83100029,83596341,83695445,83773806,83935973,84048884,84135600,84487070,84639494,84652622,84981221,85009445,85030404,85080644,85097541,85953760,86221173,86397797,86977745,87010541,87058622,87342861,87762084,87869034,87989444,88333454,89622603,89744640,89808472,89952573,90027761,90321930,90532142,91199549,91207556,91364660,91373414,91582404,91722939,91731246,91891962,91982357,92050709,92133629,92386382,92684536,92751561,92863205,92914146,92919629,93276053,93628037,94110054,94414133,94652550,95727616,95864909,95920574,95942724,96343392,96487332,96697980,96770645,97350573,98149800,98188973,98452821,98460494,98614094,98645069,98658077,99186573,99208932,...,5205746796463354708028291411465463771849848292121128301835182601254250364749968724706681240102027615563754537507700209133434573326203070758226047206279183602523039484724831543128968205926765326724953245411817901118268708937635801812203906225121543401299347745026720046874844665500249830454551822761470930887268722205513343225295953341275511948840966000531010912633430133898109661837228888849554826770140763612622368978591424922568974022679252595563640331041392249787285668926979113903112342215043225747477126200118299029529268930246900470671005883183006384645440326446184787012205500680793825893491484444848342583604536561071319881610721226472112425517572825745981997791075940283991434367369387209064431520898113266052202736263779466690554919804970182606939194705506342593509018942317218759861937157183773172763074020990892508973828535949228020727844229474911423936602539384719185285730504317598651999823814437050461265365147961312071965947365965862490784994523132873173805264188500223905086399161805770932920742117760909743543778941622572799703481074966560309605340344653794170129624231094572803981213150975659395812468763506389936346795859058629631034005814009929213486826884296812894296784045957000134949717697981838172396362730270206600957259035282152089099324358258713779924547307927277452512147022031602016750963877946323609549521204465992120241819960324751929290690773873182428278869315684038060230910403735774344955872449502314354947608075898786801014290159801468435509605362771900386380832949226358538289758379647996758000132272790717464059558186337070543032156253209764590957910378666414291620460361795740811780350774206570709819389398383566518178814882230711160911631663241642192001721825883876968789161555023169595023530545982540428035883612150136166878977357727779469297613745163715322283114257601472816445078592214268899493071097173228951821728973427921369478920042070236371967808288623144496590526384279907243168414657800755208890643628925389921432737243140076401640524032034561839600178296623612166049118398147268909945114322667331227135861466135205779313513321621657367981303928138557058663254582221874587020737239852091844980078475770399987816377926458116410091467653065823330437021481737221941765017496905226207493166245694044130773998579607612716221747439986099323755240498876933654323050692214036757788639790423667588425386843672327983953280254168261763490119378975584266363590742624877796516949482479542037158770816092822873746589297702344251224327410193128806964736622995290275568363501278474203696961000797283971604516415671479946199332801796221750738974835361035211263591698431296235520786353078797339140763331823519262150465339269937267933374503922831135820406173183731790703563959623843201624663702173265122926434545462744740168110436189542438076794771940559865719741965338266581466086933094930879830064443198233146184663130231037364009850679491146247681555347109733373849335351754979698266768223599489924572087295538419300809732410304749201983812302841234121104419627200323694804221187670171336970419929942398593209403332070236260468817327988663277110854055222405862601038745585568556603702293723009692601980431745238365936493924036244938961947108264344908692745568723256125813348766638437713454136546392948892388118986828247283707268308645045326400818670917607981981838443121284970680891330302914743844726428358502162562393157147171192718994755106382639768983741862490771712496764055690986967575945960820381486982029516317077551250205681159674377246925288161086358776635102246449788453357023180593169278931627139543305302694618868269030406385902880693693131199709161508688750565383079863844511996049744656321658106179225550361966459626893734643924325816702179131793965152166131741689753883852}
23396  86209744139335557158756671206109205657831471835175415241664049212427721800135: {1075066,1728418,2149948,2399179,2846626,2955163,3125818,3404866,3552392,3869626,3996441,4478179,4519618,4616203,4705186,4797946,4947868,5167579,5305243,5506588,5959605,6356912,6623164,6660165,7104176,7151526,7757818,7770883,7992198,8342733,8451643,8483673,8723443,8863546,8955586,9139618,9409564,9931825,9942979,10025301,10517818,10522108,10633805,10861005,11585072,11617786,11918190,12166906,12596969,12712736,12760566,12806818,13033206,13965979,14098963,14138245,14175418,14224413,14301828,14448706,14732552,14886053,15191150,15267706,15540418,16266946,16480363,16574121,16901818,16933825,16965894,17137723,17173666,17626426,17725564,17995670,18075368,18229380,18440386,18577579,18708043,19229179,19343266,19444672,19794106,19884226,20320590,20334789,20951229,20964418,21265790,21344205,21584188,21594804,21675296,21875256,22311418,22632933,22767152,23035593,23437605,23923066,24377179,24384708,24609663,24726946,24885643,25000112,25012579,25191782,25518948,25613046,25708100,25855112,25969629,26330818,26775418,27072028,27410683,27423325,27661603,27663418,28106818,28125126,28712764,28787179,28902153,29087001,29257786,29546605,29699746,30288008,30379700,30582466,30758818,30773803,30849720,30916225,31883179,32006083,32065012,32531068,32906368,32907990,33118041,33606632,33659386,33750865,33888405,34009786,34074009,34272418,34407325,34449043,34705935,34813003,34972066,35055283,35101856,35455926,35792668,35816168,35988260,36021523,36147632,36262363,36455640,37019664,37064866,37099470,37151866,37319061,37325818,37342579,37807461,37820803,38061165,38454946,38502748,38535979,38886016,38888506,39489588,39572768,39584764,39754426,40194643,40293189,40312579,40384253,40430443,40501038,40598576,40666086,40964026,41012595,41205628,41288790,41329928,41647122,42256546,42514618,42769389,42772546,42772603,43121443,43185912,43542093,43746768,44040693,44041376,44394979,44519364,44659618,44970979,44977564,45343906,45673398,45807160,46496169,46688179,46945173,46964986,47370523,47663164,47780805,48045349,48216909,48495418,48584151,48665146,49173946,49175273,49215114,49546548,49766818,49922121,49962163,50020666,50073979,50966192,51077083,51169269,51315329,51411800,51533055,51631843,51835825,52307913,52629445,52646678,52955923,53307586,53661621,54230266,54529221,54617673,54816418,54922603,54968592,55464763,55681123,56736826,57336966,57485986,57569146,57615403,57691790,57722179,57838275,58254979,58316866,58333564,58565818,59209483,59394268,59559605,59569149,59737243,60221818,60315805,60368179,60799906,61060232,61348875,61694160,61830283,61839666,62038003,62040988,62150888,62202990,62271325,62316165,62493033,62929101,62940226,63072283,63155334,63625564,63678586,63996979,64124536,64330472,64988026,65438800,65525179,65807104,66349856,66434323,66459405,66470576,66619066,66944506,67432186,67537579,67838146,67998205,68342582,68411541,68532979,68682728,68692761,69126763,69211209,69219165,69230148,69405930,69706469,69769352,69919749,69937948,70023418,70110643,70250390,70452741,70588066,70829818,70890032,70989979,71232418,71471526,71863483,71960179,72036418,72140103,72266558,72371781,72378966,72437818,72827203,73019083,73025768,73034375,73479586,73618650,73833776,74032992,74123164,74354179,74598466,74643588,74725590,74779398,75077026,75089613,75209540,75299179,75412389,75634618,75676645,75862723,76143523,76330363,76826818,77064826,77074843,77268069,77835565,78490521,78526560,78582413,78963706,79125321,79328764,79551165,79553443,79707296,79751286,80006683,80277763,80539066,80617666,80774818,80843061,81098969,81315505,81597846,81716386,81920764,81951418,82153989,82186306,82511563,83062998,83287116,83761664,83917579,84300468,84786979,84854576,85071418,85085150,85304386,85459618,85692346,85881075,86002426,86234818,86504179,86770101,86841326,87013723,87243861,87626146,87641250,88112188,88342380,88693483,88704706,88922973,89170005,89439979,89670708,89856826,90251448,90671179,90811974,91302029,91402123,91563763,91606480,91695981,91966603,93191365,93367546,93401923,93402678,93484000,93519418,93751228,93776102,93863613,93970605,94189243,94231872,94345843,94580203,94656418,94899081,94969363,95114672,95185786,95461398,95932893,96016066,96226697,96508003,96543418,96769186,97266523,97417363,97578606,97632260,97643083,98115265,98270626,98599269,98847388,99131323,99278563,99580670,99691066,99914818,...,7808620194695032062042437117198195657774772438181692452752773901881375547124953087060021860153041423345631806261550313700151859989304606137339070809418775403784559227087247314693452308890147990087429868117726851677403063406453702718305859337682315101949021617540080070312266998250374745681827734142206396330903083308270014837943930011913267923261449000796516368950145200847164492755843333274332240155211145418933553467887137383853461034018878893345460496562088374680928503390468670854668513322564838621215689300177448544293903395370350706006508824774509576968160489669277180518308251021190738840237226667272513875406804841606979822416081839708168638276359238618972996686613910425987151551054080813596647281347169899078304104395669200035832379707455273910408792058259513890263528413475828139792905735775659759144611031486338763460742803923842031091766344212367135904903809077078777928595756476397977999735721655575691898047721941968107948921048948793736177491784699309760707896282750335857629598742708656399381113176641364615315668412433859199555221612449840464408010516980691255194436346641859205971819726463489093718703145259584904520193788587944446551008721014893820230240326445219341445176068935500202424576546972757258594544095405309901435888552923228133648986537388070669886820961890916178768220533047403025126445816919485414324281806698988180362729940487127893936036160809773642418303973526057090346365605603661517433808674253471532421412113848180201521435239702202653264408044157850579571249423839537807434637569471995137000198409186076196089337279505605814548234379814646886436865567999621437430690542693611217670526161309856064729084097575349777268222323346066741367447494862463288002582738825815453183742332534754392535295818973810642053825418225204250318466036591669203946420617745572983424671386402209224667617888321403349239606645759843427732593460141882054218380063105354557951712432934716744885789576419860864752621986701132813335965443388084882149105864710114602460786048051842759400267444935418249073677597220903364917671484000996840703792199202808668970269982432486051971955892207835587994881873332811880531105859778137767470117713655599981724566889687174615137201479598734995655532222605832912647526245357839311239749368541066196160997869411419074332621159979148985632860748315400481484576038321055136682959685635501382638080265508491975929920381252392645235179068463376399545386113937316694775424223719313055738156224139234310619883946553516376836491115289693210447104934492935413352545251917711305545441501195925957406774623507219919298999202694332626108462253041552816895387547646944353281179529618196008711144997735278893225698008904905901900061755884246703730609259775597686055345939435764802436995553259897684389651818194117110252165654284313657115192157910839798579612948007399872199130399642396319745096664797349719276994695346556046014776019236719371522333020664600060774003027632469547400152335399234886858130943307628951214598615457123802975718454261851181656629440800485542206331781505257005455629894913597889814104998105354390703225991982994915666281082833608793901558118378352834905553440584514538902970647617857548904740886054367408442920662396517363039118353084884188720023149957656570181204819589423338582178480242370925560902462967567989601228006376411972972757664681927456021336995454372115767089642537753243843589735720756789078492132659573959653475612793736157568745146083536480451363918941230572230473044274475616326875308521739511565870387932241629538164952653369674682680035534770889753918397440709314957954041928302403545609578854321040539696799563742263033125848074619795766767994074616984482487159268838325542949689440340601965886488725053268697690947728249197612534630825778}
23397  86516528064152211184124900650582645186427737912661285195557227824576784022332: {1612599,2592627,2687435,3108343,3224922,3949699,4269939,4370003,4440490,4688727,5107299,5328588,5562298,5804439,6184835,6216154,6684106,6779427,6883235,7057779,7196919,7421802,7450883,7898722,7946140,8259882,8278955,8880220,9132587,9535368,9934746,10136938,10656264,10727289,11123644,11311564,11636727,11761955,11988297,12066263,12890983,13152635,13295319,13367068,13433379,13603139,13709427,14114346,14481340,15139223,15776727,15783162,15815947,15890920,16267283,16863754,17014088,17377608,17426679,17877285,18250359,18415690,18643067,18965884,19069104,19140849,19210227,19549809,19628099,19921258,21017627,21263127,21452742,21673059,21875098,22003019,22098828,22122139,22156955,22594210,22621192,22623223,22786725,22807763,22901559,23310627,23390963,24305840,24400419,25216487,25352727,25448841,25760499,26093002,26439639,26502007,26588346,26980235,26993505,27094120,27113052,27344070,27399383,27660579,27735803,27934972,28428299,28458940,28793072,29014899,29167008,29405803,29674903,29691159,29826339,30177244,30480885,30714124,31250140,31339147,31446627,31629178,31786523,31898685,32135125,32318890,32376282,32392206,32512944,32812884,32814634,32872067,33467127,33840035,34025264,34150728,34626172,35239283,35523754,35884599,35890955,36163687,36577062,36987106,37090419,37437466,37500168,37787673,37860010,37974625,38126122,38278422,38419569,38536204,38562150,38782668,39496227,39970043,40081265,40163127,40608042,40663835,41132960,41495127,42008290,42160227,42187689,43032106,43069146,43102039,43877320,43886679,44157388,44462519,44549619,44595418,44740835,44770210,44846026,44985325,45184540,45432012,45569550,45873699,46138227,46274580,47274568,47406307,47968523,48097518,48128435,48190099,48607520,48796602,49359552,49361985,49465960,49480955,49758748,50250563,50409948,50489079,50748220,51014679,51408627,51507035,51662410,52458099,52652784,52712059,53102458,53183889,53427703,53512138,53689002,53724252,53900002,53982390,54001384,54221448,54382027,54596659,54683460,55051720,55529496,55597299,55649205,55727799,55988727,56104663,56108969,56221955,56289163,56355443,57025852,57258950,57581216,57682419,57743347,57754122,57828023,58032827,58056124,58161754,58329024,58332759,58720924,59234382,59359152,59377146,59578955,59631639,60083099,60097387,60751557,60897864,60999129,61048183,61097539,61446039,61808442,61933185,61994892,62028778,62173786,62341162,62470683,62593564,63384819,63563539,63707740,63771927,63852898,63897547,64158819,64264750,64289212,64585943,64604554,64778868,65410666,65424419,65620152,66062064,66562828,66638263,66779046,66989427,67466346,68015859,68225692,68364322,68403203,68510097,68710740,69743884,69937594,69969883,70447479,70600643,71494746,71548828,72507019,72705628,72743127,72823564,72916955,72997719,73291456,73466122,73760919,73822671,74242835,74247754,74319822,74650227,75030999,75294683,76325290,76449288,76599946,77117700,77551235,77682023,77688610,78970017,79192906,79425532,79531955,79774483,79961379,80155670,80226058,80413090,81034199,81075658,81345399,81798500,82194586,82224627,82258880,82452888,82937320,83088220,83225338,83324044,83905468,84207112,84646762,85105239,85806394,85853410,86005449,86228979,86234914,86353719,86537685,87211690,87422435,87475299,87500346,87705898,87848727,87939863,88612540,89091402,90332727,90933623,91199859,91215388,91282210,91590348,92281612,92292220,92306864,92316779,92394346,92541240,92653955,92759499,92876503,93061482,93226332,93304485,93771283,93875899,93936988,94011925,94410339,94611754,94733001,95100403,95295368,95438346,95517879,96186804,96495708,96505288,96775738,96804967,96911639,97482039,97736107,98158200,98622562,98710656,99160955,99197059,99202138,99524784,99634120,99705864,99928599,...,11712930292042548093063655675797293486662158657272538679129160852822063320687429630590032790229562135018447709392325470550227789983956909206008606214128163105676838840630870972040178463335221985131144802176590277516104595109680554077458789006523472652923532426310120105468400497375562118522741601213309594496354624962405022256915895017869901884892173501194774553425217801270746739133764999911498360232816718128400330201830706075780191551028318340018190744843132562021392755085703006282002769983847257931823533950266172816440855093055526059009763237161764365452240734503915770777462376531786108260355840000908770813110207262410469733624122759562252957414538857928459495029920865638980727326581121220394970922020754848617456156593503800053748569561182910865613188087389270835395292620213742209689358603663489638716916547229508145191114205885763046637649516318550703857355713615618166892893634714596966999603582483363537847071582912952161923381573423190604266237677048964641061844424125503786444398114062984599071669764962046922973502618650788799332832418674760696612015775471036882791654519962788808957729589695233640578054717889377356780290682881916669826513081522340730345360489667829012167764103403250303636864820459135887891816143107964852153832829384842200473479806082106004830231442836374268152330799571104537689668725379228121486422710048482270544094910730691840904054241214660463627455960289085635519548408405492276150713011380207298632118170772270302282152859553303979896612066236775869356874135759306711151956354207992705500297613779114294134005919258408721822351569721970329655298351999432156146035814040416826505789241964784097093626146363024665902333485019100112051171242293694932003874108238723179775613498802131588802943728460715963080738127337806375477699054887503805919630926618359475137007079603313837001426832482105023859409968639765141598890190212823081327570094658031836927568649402075117328684364629791297128932980051699220003948165082127323223658797065171903691179072077764139100401167403127373610516395831355047376507226001495261055688298804213003455404973648729077957933838311753381992322809999217820796658789667206651205176570483399972586850334530761922705802219398102493483298333908749368971289368036758966859624052811599294241496804117128611498931739968723478449291122473100722226864057481582705024439528453252073957120398262737963894880571878588967852768602695064599318079170905975042163136335578969583607234336208851465929825919830274565254736672934539815670657401739403120028817877876566958318162251793888936110161935260829878948498804041498939162693379562329225343081321470416529921769294427294013066717496602918339838547013357358852850092633826370055595913889663396529083018909153647203655493329889846526584477727291175665378248481426470485672788236866259697869419422011099808298695599463594479617644997196024578915492043019834069022164028855079057283499530996900091161004541448704321100228503098852330287196414961443426821897923185685704463577681392776772484944161200728313309497672257885508183444842370396834721157497158031586054838987974492373499421624250413190852337177567529252358330160876771808354455971426786323357111329081551112664380993594776044558677529627326283080034724936484855271807229384135007873267720363556388341353694451351984401842009564617959459136497022891184032005493181558173650634463806629865765384603581135183617738198989360939480213419190604236353117719125304720677045878411845858345709566411713424490312962782609267348805581898362444307247428980054512024020053302156334630877596161063972436931062892453605318414368281481560809545199345613394549688772111929693650151991111925476723730738903257488314424534160510902948829733087579903046536421592373796418801946238667}
23398  86824396563949269134249750736008929815213468490859676482547508951297355664099: {677701,957637,1377001,1656217,2150132,2352997,2492137,3456836,4299896,4570597,4798358,4837383,5535001,5693252,5910326,6251636,6495877,6660735,6809732,7104784,7180057,7316677,7739252,7992882,8271001,8343447,8956358,9039236,9232406,9324231,9410372,9595892,9895736,9932675,10026159,10335158,10573957,10610486,11013176,11100275,11132703,11247337,11848083,11918917,11919210,12389823,12713824,13246328,13320330,13390057,13904555,14139455,14208352,14303052,14719897,14887327,14902119,14985001,15205407,15382117,15515636,15541766,15910597,15984396,16306201,16685466,16708835,16903286,16967346,17226757,17446886,17727092,17911172,18101675,18279236,18666217,18819128,19317637,19793543,19863650,19885958,19967257,20050602,20873701,21035636,21044216,21171519,21267610,21722010,23060377,23170144,23235572,23444101,23674743,23707355,23836380,24333812,24336937,25193938,25295631,25425472,25521132,25606297,25613636,26066412,27623535,27931958,28197926,28276490,28350836,28448826,28498501,28603656,28872937,28897412,29122201,29465104,29772106,29881887,29992357,30116377,30382300,30535412,31080836,32179113,32533892,32581657,32812647,32960726,33148242,33803636,33867650,33891315,33931788,34047001,34275446,34347332,34918715,35252852,35451128,35573675,35991340,36150736,36458760,36826597,36880772,37155158,37416086,37721555,38392655,38458358,38618857,38686532,38889344,39062675,39094057,39139503,39588212,39768452,39882519,40394917,40641180,40669578,40983337,41016105,41365247,41452777,41902458,41928836,42388201,42531580,42688410,42737797,43168376,43189608,43282715,43350592,43750512,44360677,44622836,45265866,45281701,45534304,46071186,46768537,46875210,47251211,47443767,47846132,48170255,48468997,48478335,48564423,48588309,48694501,48754358,48769416,49219326,49221951,49257001,49453892,49771286,50000224,50025158,50041477,50383564,50711077,51037896,51226092,51416200,51489001,51710224,51821317,51939258,52661636,53144101,53285631,53550836,53697743,53910937,54144056,54238501,54821366,54846650,54865593,55196735,55323206,55326836,55480659,56156199,56213636,56250252,56480675,56780867,56790015,57189183,57417633,57425528,57574358,57804306,57843225,58174002,58515572,59093210,59399492,60444037,60576016,60759400,60912063,61164932,61176601,61517636,61547606,61699440,61832450,61905637,62198435,63012435,63435275,63558757,63766358,64012166,64071577,64130024,64548159,64603719,64990117,65062136,65497897,65812736,65815980,66236082,66893127,67110697,67155315,67213264,67269039,67318772,67501730,67776810,68019572,68109337,68148018,68354325,68544836,68804101,68814650,68898086,69001957,69411870,69626006,69944132,70110566,70203712,70574437,70911852,71282315,71585336,71632336,71976520,72043046,72146277,72225001,72295264,72417817,72524726,72570155,72898597,72911280,73194903,73401155,73681223,74039328,74129732,74198940,74303732,74638122,74651636,74685158,74803717,75614922,75641606,76122330,76493701,76909892,77005496,77071958,77493615,77699737,77772032,77777012,77884201,78241955,78802201,78979176,79145536,79169528,79508852,79634675,79653687,79713001,80268207,80361515,80389286,80533503,80586378,80625158,80768506,80850003,80860886,80886277,80973585,81002076,81197152,81244837,81332172,81513001,81928052,82025190,82411256,82577580,82659856,83203535,83294244,83383447,83547397,84333097,84442127,84513092,84767077,85029236,85282115,85538778,85545092,85545206,85888425,86242886,86371824,86631183,87084186,87164101,87179855,87242631,87493536,87586201,88081386,88082752,88789958,88851573,89038728,89065719,89319236,89436035,89941958,89955128,90326917,90687812,90882035,91029455,91141957,91346796,91614320,92712663,92992338,93043167,93148057,93260679,93376358,93511743,93890346,93929972,93937897,94741046,95197487,95326328,95561610,95650201,95779347,96034501,96090698,96397125,96433818,96569497,96906831,96990836,97168302,97330292,97403077,97704037,98115999,98153317,98347892,98350546,98430228,98525737,99093096,99281915,99533636,99558937,99844242,99924326,...,15617240389390064124084874234396391315549544876363384905505547803762751094249906174120043720306082846691263612523100627400303719978609212274678141618837550807569118454174494629386904617780295980174859736235453703354806126812907405436611718675364630203898043235080160140624533996500749491363655468284412792661806166616540029675887860023826535846522898001593032737900290401694328985511686666548664480310422290837867106935774274767706922068037757786690920993124176749361857006780937341709337026645129677242431378600354897088587806790740701412013017649549019153936320979338554361036616502042381477680474453334545027750813609683213959644832163679416337276552718477237945993373227820851974303102108161627193294562694339798156608208791338400071664759414910547820817584116519027780527056826951656279585811471551319518289222062972677526921485607847684062183532688424734271809807618154157555857191512952795955999471443311151383796095443883936215897842097897587472354983569398619521415792565500671715259197485417312798762226353282729230631336824867718399110443224899680928816021033961382510388872693283718411943639452926978187437406290519169809040387577175888893102017442029787640460480652890438682890352137871000404849153093945514517189088190810619802871777105846456267297973074776141339773641923781832357536441066094806050252891633838970828648563613397976360725459880974255787872072321619547284836607947052114180692731211207323034867617348506943064842824227696360403042870479404405306528816088315701159142498847679075614869275138943990274000396818372152392178674559011211629096468759629293772873731135999242874861381085387222435341052322619712129458168195150699554536444646692133482734894989724926576005165477651630906367484665069508785070591637947621284107650836450408500636932073183338407892841235491145966849342772804418449335235776642806698479213291519686855465186920283764108436760126210709115903424865869433489771579152839721729505243973402265626671930886776169764298211729420229204921572096103685518800534889870836498147355194441806729835342968001993681407584398405617337940539964864972103943911784415671175989763746665623761062211719556275534940235427311199963449133779374349230274402959197469991311064445211665825295052490715678622479498737082132392321995738822838148665242319958297971265721496630800962969152076642110273365919371271002765276160531016983951859840762504785290470358136926752799090772227874633389550848447438626111476312448278468621239767893107032753672982230579386420894209868985870826705090503835422611090883002391851914813549247014439838597998405388665252216924506083105633790775095293888706562359059236392017422289995470557786451396017809811803800123511768493407461218519551195372110691878871529604873991106519795368779303636388234220504331308568627314230384315821679597159225896014799744398260799284792639490193329594699438553989390693112092029552038473438743044666041329200121548006055264939094800304670798469773716261886615257902429197230914247605951436908523702363313258881600971084412663563010514010911259789827195779628209996210708781406451983965989831332562165667217587803116236756705669811106881169029077805941295235715097809481772108734816885841324793034726078236706169768377440046299915313140362409639178846677164356960484741851121804925935135979202456012752823945945515329363854912042673990908744231534179285075506487687179471441513578156984265319147919306951225587472315137490292167072960902727837882461144460946088548951232653750617043479023131740775864483259076329905306739349365360071069541779507836794881418629915908083856604807091219157708642081079393599127484526066251696149239591533535988149233968964974318537676651085899378880681203931772977450106537395381895456498395225069261651556}
23399  87133353447934995797405390644903268609176092526476203347118582483678595290129: {23399,2687665,3225198,3762409,4321045,4370377,4884121,5164549,5185254,5374870,6216686,6449844,7116565,7197537,7814545,7899398,7964737,8512165,8539878,8658769,8740006,8805589,8865489,8880980,9377454,9636529,9674065,10207009,10214598,10657176,11124596,11299045,11590537,11608878,11762965,11989323,11994865,12369670,12432308,13368212,13434537,13558854,13766470,13848609,14115558,14260129,14393838,14843604,14901766,15502737,15652417,15797444,15892280,15915729,16076437,16466737,16519764,16557910,17060809,17187577,17760440,17878815,17891809,18181081,18265174,18413689,19070736,19394545,19861489,19869492,19980495,20273876,20836369,20981761,21312528,21454578,22158865,22247288,22388965,22623128,22849045,23076337,23273454,23312649,23490289,23523910,23976594,24132526,24183877,24851497,25028199,25036309,25354929,25451019,25781966,26142841,26170329,26294545,26305270,26590638,26734136,26866758,26954629,27206278,27418854,27911521,28136377,28228692,28962680,29044465,29088769,29648617,29795475,29828937,30075903,30278446,30417265,31019737,31553454,31566324,31631894,31781840,31901415,32017045,32381089,32534566,32583015,33727508,33978697,34028176,34755216,34853358,35039257,35242309,35377957,35438545,35754570,36121765,36500718,36739369,36831380,37286134,37772329,37790907,37931768,37977875,38138208,38169265,38281698,38420454,38851045,39099618,39256198,39385081,39842516,39885121,40667365,40761529,41897937,42035254,42254545,42296889,42330649,42414735,42526254,42673239,42905484,42934165,43346118,43750196,44006038,44066065,44197656,44244278,44313910,44466337,44658159,44672401,44699749,44920297,44989175,45188420,45242384,45246446,45573450,45615526,45698521,45803118,46100965,46621254,46781926,47376049,48358165,48611680,48736897,48800838,49319749,49441089,49485265,49710565,49722363,50247337,50432974,50705454,50760721,50801475,50897682,51276697,51413169,51520998,51779977,51935449,52186004,52411045,52879278,53004014,53164475,53176692,53359681,53960470,53987010,54188240,54226104,54688140,54798766,55321158,55471606,55732737,55778545,55869944,56113771,56124129,56856598,56917880,56929369,57265009,57586144,57687537,58029798,58265797,58334016,58337521,58811606,59104489,59349806,59382318,59387029,59652678,59807665,60354488,60961770,61004367,61185457,61428248,61817365,62500280,62637169,62678294,62853687,62893254,62979455,63258356,63573046,63797370,63980377,64032615,64226761,64270250,64591489,64637780,64752564,64784412,65025888,65391337,65430037,65625768,65629268,65744134,65827045,66775297,66934254,66938545,67379809,67680070,67898799,68050528,68154901,68257669,68301456,68342209,68911777,69106779,69158545,69252344,69273337,70267045,70312815,70478566,70606729,71047508,71389477,71489809,71769198,71781910,72109849,72327374,73131537,73144465,73154124,73828989,73974212,74180838,74249365,74656929,74874932,75000336,75037737,75400681,75575346,75720020,75949250,76083109,76252244,76456165,76556844,76839138,76897045,77072408,77124300,77565336,77908887,77944537,78710737,78906601,78992454,79598929,79870249,79940086,80162530,80326254,80448577,80840149,81216084,81327670,82232049,82265920,82269975,82663729,82984809,82990254,83410537,83781121,83950537,84016580,84148465,84152881,84320454,84375378,84908581,85024465,85681045,86064212,86138292,86204078,86361537,86706459,87261003,87430165,87754640,87773358,87795769,87947497,88314776,88446721,88639815,88925038,89099238,89145769,89190836,89481670,89540420,89692052,89970650,90369080,90772369,90864024,90941521,91139100,91747398,92276454,92321409,92324737,92549160,92662165,92748675,92879665,92935777,93314545,94030009,94549136,94812614,95502049,95649537,95937046,96018249,96137365,96195036,96256870,96380198,97215040,97221265,97473841,97593204,98699977,98719104,98723970,98931920,98961910,99354123,99386065,99517496,...,23425860584085096186127311351594586973324317314545077358258321705644126641374859261180065580459124270036895418784650941100455579967913818412017212428256326211353677681261741944080356926670443970262289604353180555032209190219361108154917578013046945305847064852620240210936800994751124237045483202426619188992709249924810044513831790035739803769784347002389549106850435602541493478267529999822996720465633436256800660403661412151560383102056636680036381489686265124042785510171406012564005539967694515863647067900532345632881710186111052118019526474323528730904481469007831541554924753063572216520711680001817541626220414524820939467248245519124505914829077715856918990059841731277961454653162242440789941844041509697234912313187007600107497139122365821731226376174778541670790585240427484419378717207326979277433833094459016290382228411771526093275299032637101407714711427231236333785787269429193933999207164966727075694143165825904323846763146846381208532475354097929282123688848251007572888796228125969198143339529924093845947005237301577598665664837349521393224031550942073765583309039925577617915459179390467281156109435778754713560581365763833339653026163044681460690720979335658024335528206806500607273729640918271775783632286215929704307665658769684400946959612164212009660462885672748536304661599142209075379337450758456242972845420096964541088189821461383681808108482429320927254911920578171271039096816810984552301426022760414597264236341544540604564305719106607959793224132473551738713748271518613422303912708415985411000595227558228588268011838516817443644703139443940659310596703998864312292071628080833653011578483929568194187252292726049331804666970038200224102342484587389864007748216477446359551226997604263177605887456921431926161476254675612750955398109775007611839261853236718950274014159206627674002853664964210047718819937279530283197780380425646162655140189316063673855137298804150234657368729259582594257865960103398440007896330164254646447317594130343807382358144155528278200802334806254747221032791662710094753014452002990522111376597608426006910809947297458155915867676623506763984645619998435641593317579334413302410353140966799945173700669061523845411604438796204986966596667817498737942578736073517933719248105623198588482993608234257222997863479937446956898582244946201444453728114963165410048879056906504147914240796525475927789761143757177935705537205390129198636158341811950084326272671157939167214468672417702931859651839660549130509473345869079631341314803478806240057635755753133916636324503587777872220323870521659757896997608082997878325386759124658450686162642940833059843538588854588026133434993205836679677094026714717705700185267652740111191827779326793058166037818307294407310986659779693053168955454582351330756496962852940971345576473732519395738838844022199616597391198927188959235289994392049157830984086039668138044328057710158114566999061993800182322009082897408642200457006197704660574392829922886853643795846371371408927155362785553544969888322401456626618995344515771016366889684740793669442314994316063172109677975948984746998843248500826381704674355135058504716660321753543616708911942853572646714222658163102225328761987189552089117355059254652566160069449872969710543614458768270015746535440727112776682707388902703968803684019129235918918272994045782368064010986363116347301268927613259731530769207162270367235476397978721878960426838381208472706235438250609441354091756823691716691419132823426848980625925565218534697611163796724888614494857960109024048040106604312669261755192322127944873862125784907210636828736562963121619090398691226789099377544223859387300303982223850953447461477806514976628849068321021805897659466175159806093072843184747592837603892477334}
23400  87443402538608590650288505676268041363082881403037919703622011902430073892071: {677759,724439,1004351,1355402,1423679,1563311,1702871,1842359,1915274,2074679,2399591,2492351,2538719,2754002,3048239,3312434,3464399,4018271,4300264,4432919,4570991,4616999,4705994,4837797,4892879,4984274,5260271,5397911,5581319,5947751,6222239,6542111,6913672,7226231,7772231,7777881,7999391,8062305,8271719,8589071,8599792,8724959,8815511,8951279,9132191,9141194,9325029,9596716,9674766,10079879,10484951,10619831,10979159,11070002,11101225,11386504,11427599,11820652,11849097,11964671,12366719,12500591,12503272,12809817,12991754,13110009,13321470,13524551,13619464,13905745,13968431,14057111,14066181,14209568,14360114,14367239,14633354,14986319,15030479,15295271,15321897,15478504,15515711,15540385,15691919,15911999,15985764,16087919,16542002,16686894,16710265,17140751,17228279,17413317,17796431,17912716,18078472,18464812,18554505,18648462,18667871,18711359,18820744,19191784,19319351,19362719,19466377,19746805,19791472,19795237,19865350,20052318,20338281,20649705,20660039,20670316,21147914,21173337,21220972,21262991,21391991,21590757,21692711,22026352,22200550,22207319,22265406,22352649,22494674,22592519,22806239,23062439,23105111,23392369,23488799,23696166,23837834,23838420,24381551,24466391,24720719,24779646,24836865,24890111,25017071,25143959,25342345,25427648,25650791,26030159,26492656,26640660,26780114,27248159,27397761,27809110,28251071,28278910,28416704,28501079,28542719,28606104,28875551,29166359,29290871,29439794,29774654,29804238,29970002,29995079,30243071,30410814,30764234,30985319,31031272,31083532,31273271,31601879,31821194,31968792,32181867,32257559,32612402,32625479,33190297,33370932,33417670,33806572,33847199,33934692,34050119,34453514,34455359,34536311,34819391,34893772,34900199,34910181,35142431,35285865,35424671,35454184,35822344,35964891,36148631,36198789,36203350,36558472,36869999,37332434,37638256,37947191,38543111,38622431,38635274,38662079,38672949,38899799,39097679,39334871,39457905,39492839,39587086,39727300,39771916,39885957,39934514,40101204,40280759,40300137,40398671,40437959,40809417,40869599,40987151,41104631,41128281,41495711,41747402,42071272,42088432,42159385,42343038,42535220,42664151,42780599,42858191,43129511,43444020,43825391,44364839,44403311,44480231,45324239,45417669,45744791,46039225,46120754,46240559,46340288,46471144,46772951,46886831,46888202,47038559,47330181,47341631,47349486,47414710,47447841,47455151,47606399,47672760,48398351,48667624,48673874,48736679,48801849,48886201,49149311,49261679,49299119,49803145,49971671,50046239,50083511,50195279,50381399,50387876,50591262,50715911,50850944,51042264,51086831,51160919,51212594,51227272,52132824,52280037,52305191,52635959,52810177,53039351,53185799,53631855,53749717,53916119,53952551,54687745,54751077,54933191,55114151,55247070,55583711,55763951,55863916,55929201,56015951,56231639,56395852,56485525,56552980,56701672,56897652,56997002,57207312,57422547,57484079,57630681,57697799,57745874,57794824,58244402,58337231,58585199,58649427,58691351,58884297,58930208,59079959,59544212,59748911,59763774,59984714,60232754,60449951,60595801,60659639,60764600,61070824,61217399,61391279,61911719,62161672,62361311,63052881,63460969,63789381,64077911,64112039,64316639,64358226,64928711,65019177,65067784,65163314,65232505,65504399,65538191,65605751,65625294,65841959,65921452,66009057,66296484,66313199,66366417,66470865,66816359,67104661,67438357,67517759,67607272,67735300,67782630,67817279,67863576,67869669,68094002,68116151,68360175,68423289,68550892,68694664,68704677,69041831,69830279,69837430,69931881,70172889,70190111,70288079,70418591,70505704,70581551,70614119,70902256,70971839,71147350,71393351,71652071,71878031,71982680,72301472,72457271,72745919,72905999,72917520,73193639,73201257,73512479,73653194,73761544,74310316,74432591,74527391,74832172,74842871,75220391,75443110,75649461,76058181,76221479,76314911,76346523,76408271,76501559,76532639,76718951,76785310,76916716,77090711,77237714,77275429,77281497,77373064,77778688,77800031,77892239,77922959,78015071,78125350,78188114,78279006,78993119,79072945,79114799,79176424,79297079,79318917,79506021,79536904,79539671,79630511,79765038,80789834,80797225,80894711,80924639,80940705,80980515,81282360,81283151,81339156,81521519,81551279,81966674,82032210,82036585,82198149,82528871,82730494,82852799,82905554,82981737,83058431,83207409,83468519,83804916,83857672,83906159,84196919,84776039,84776402,84804911,85063160,85284897,85376820,85475594,85924679,86336752,86379216,86437391,86522591,86565430,86701184,87044697,87077809,87088751,87201599,87286151,87501024,88183559,88217409,88295159,88721354,88809385,89024709,89045111,89073477,89245672,89459231,89479017,89514311,90118079,90336671,90531732,90563402,90908039,91068608,91232951,91421951,91442655,91556711,91637471,91825631,91986599,92040191,92142372,92280959,92467765,92787119,93158231,93316799,93501431,93537074,93593665,93750420,93948191,94017441,94209911,94262159,94339881,94496879,94502422,94650025,94756919,94887534,95042039,95315305,95359569,95583671,95660759,95686439,95692264,95696055,95968391,96223871,96340510,96405375,96580199,96937994,96956670,97036031,97128846,97176618,97363631,97389002,97439039,97508716,97538832,97714919,97739951,98089559,98164271,98189159,98438652,98443902,98514002,98616201,98685239,98907784,99227231,99349871,99542572,99795241,...,35138790876127644279190967027391880459986475971817616037387482558466189962062288891770098370688686405055343128176976411650683369951870727618025818642384489317030516521892612916120535390005665955393434406529770832548313785329041662232376367019570417958770597278930360316405201492126686355568224803639928783489063874887215066770747685053609705654676520503584323660275653403812240217401294999734495080698450154385200990605492118227340574653084955020054572234529397686064178265257109018846008309951541773795470601850798518449322565279166578177029289711485293096356722203511747312332387129595358324781067520002726312439330621787231409200872368278686758872243616573785378485089762596916942181979743363661184912766062264545852368469780511400161245708683548732596839564262167812506185877860641226629068075810990468916150749641688524435573342617657289139912948548955652111572067140846854500678680904143790900998810747450090613541214748738856485770144720269571812798713031146893923185533272376511359333194342188953797215009294886140768920507855952366397998497256024282089836047326413110648374963559888366426873188769085700921734164153668132070340872048645750009479539244567022191036081469003487036503292310209750910910594461377407663675448429323894556461498488154526601420439418246318014490694328509122804456992398713313613069006176137684364459268130145446811632284732192075522712162723643981390882367880867256906558645225216476828452139034140621895896354512316810906846458578659911939689836198710327608070622407277920133455869062623978116500892841337342882402017757775226165467054709165910988965895055998296468438107442121250479517367725894352291280878439089073997707000455057300336153513726881084796011622324716169539326840496406394766408831185382147889242214382013419126433097164662511417758892779855078425411021238809941511004280497446315071578229905919295424796670570638469243982710283974095510782705948206225351986053093889373891386798940155097660011844495246381969670976391195515711073537216233292417301203502209382120831549187494065142129521678004485783167064896412639010366214920946187233873801514935260145976968429997653462389976369001619953615529711450199917760551003592285768117406658194307480449895001726248106913868104110276900578872158434797882724490412351385834496795219906170435347873367419302166680592172444748115073318585359756221871361194788213891684641715635766903558305808085193797954237512717925126489409006736908750821703008626554397789477759490823695764210018803619447011972205218209360086453633629700874954486755381666808330485805782489636845496412124496817488080138686987676029243964411249589765307883281882039200152489808755019515641040072076558550277901479110166787741668990189587249056727460941610966479989669539579753433181873526996134745444279411457018364710598779093608258266033299424896086798390783438852934991588073736746476129059502207066492086565237171850498592990700273483013624346112963300685509296556990861589244884330280465693769557057113390733044178330317454832483602184939928493016773656524550334527111190504163472491474094758164516963923477120498264872751239572557011532702587757074990482630315425063367914280358970071333987244653337993142980784328133676032588881978849240104174809454565815421688152405023619803161090669165024061083354055953205526028693853878377409491068673552096016479544674520951903391419889597296153810743405550853214596968082818440640257571812709059353157375914162031137635235537575037128699235140273470938888347827802046416745695087332921742286940163536072060159906469003892632788483191917310793188677360815955243104844444682428635598036840183649066316335789080950455973335776430171192216709772464943273602481532708846489199262739709139609264777121389256405838716001}
23401  87754547671806258007061089405674396225001734763120683368682685141555214109835: {46798,2033103,2872911,3762731,4131003,4884539,4968651,5164991,5375330,5772143,6049463,6450396,7058991,7476411,7524818,8642090,8740754,9412871,9768242,9963191,10329098,10370508,10749740,10940363,11917031,11995895,12433372,12899688,13543691,13711791,14233130,14395074,14512149,14775815,15629090,15798796,15818663,15929474,16468151,16605003,16792811,17024330,17079756,17317538,17480012,17611178,17730978,17761960,18498311,18754908,19067963,19273058,19348130,19487631,19982205,20257259,20312591,20414018,20429196,21314352,21540171,21950031,22249192,22390895,22428779,22598090,23081015,23181074,23217756,23525930,23978646,23989730,24739340,24813003,24853631,24864616,25030341,25837895,26526215,26736424,26762951,26869074,27029039,27117708,27152363,27532940,27697218,27972693,28231116,28520258,28787676,28928951,29369951,29687208,29798025,29803532,30078477,31005474,31022411,31094891,31304834,31344551,31446539,31594888,31721871,31784560,31831458,31934663,31988663,32152874,32933474,32986343,33039528,33115820,33300825,33398109,33742011,34121618,34375154,35520880,35544249,35550779,35756751,35757630,35783618,35922251,36362162,36530348,36812363,36827378,37103711,37169469,38141472,38789090,38854415,39388463,39722978,39738984,39960990,40170171,40547752,40662251,41237159,41410031,41646011,41672738,41713665,41963522,42258215,42418365,42584171,42625056,42635819,42909156,43617215,44159691,44317730,44494576,44661981,44706357,44777930,44823863,44955003,45246256,45557003,45616221,45698090,45712871,46146351,46152674,46209119,46546908,46625298,46980578,47047820,47111531,47731791,47953188,48265052,48367754,48918603,49247231,49613963,49659125,49702994,49714895,49958543,50056398,50072618,50126505,50570471,50709858,50902038,51563932,51680271,52285682,52340658,52589090,52610540,52721111,53169025,53181276,53364263,53436971,53468272,53733516,53909258,54007343,54305025,54391463,54412556,54837708,55823042,55998651,56272754,56457384,56828651,56934311,57039659,57598151,57753263,57871739,57925360,57952911,58088930,58177538,58335383,59156363,59297234,59380629,59590950,59657874,59901771,59989943,60107831,60151806,60556892,60834530,61108031,61190711,61692491,61992863,62039474,62621103,62908991,62984845,63106908,63132648,63263788,63514557,63563680,63802830,63985871,64034090,64541351,64762178,65069132,65166030,66781031,67101371,67455016,67701431,67916171,67957394,68056352,68944343,69181131,69279371,69504503,69510432,69594791,69706716,69829895,70078514,70332303,70484618,70494815,70691225,70755914,70877090,71024229,71122065,71395631,71509140,72243530,72855239,73001436,73010811,73375463,73478738,73662760,74430265,74572268,75544658,75581814,75863536,75886893,75955750,76276416,76287983,76338530,76563396,76818891,76840908,77280671,77702090,78089963,78199236,78512396,78770162,78913403,79078763,79685032,79770242,79788239,80667371,81334730,81441191,81523058,82401815,82870605,83121551,83730731,83795874,83957819,84070508,84509090,84593778,84661298,84669125,84829470,85034063,85052508,85346478,85457471,85495503,85688615,85810968,85868330,86544311,86618811,86621159,86692236,87366603,87500392,88012076,88132130,88171237,88395312,88454399,88488556,88627820,88932674,89050463,89316318,89344802,89399498,89645661,89840594,89977071,89978350,90349131,90376840,90484768,90492892,91146900,91231052,91397042,91606236,92116271,92157863,92201930,92887895,93242508,93540215,93563852,93713963,94438751,94752098,94816871,95075591,95932859,96145895,96537339,96569111,96716330,96821963,97212431,97223360,97427303,97473794,97601676,97744971,98124683,98373863,98437941,98639498,98882178,98970530,99214271,99421130,99444726,...,46851721168170192372254622703189173946648634629090154716516643411288253282749718522360131160918248540073790837569301882200911159935827636824034424856512652422707355362523483888160713853340887940524579208706361110064418380438722216309835156026093890611694129705240480421873601989502248474090966404853238377985418499849620089027663580071479607539568694004779098213700871205082986956535059999645993440931266872513601320807322824303120766204113273360072762979372530248085571020342812025128011079935389031727294135801064691265763420372222104236039052948647057461808962938015663083109849506127144433041423360003635083252440829049641878934496491038249011829658155431713837980119683462555922909306324484881579883688083019394469824626374015200214994278244731643462452752349557083341581170480854968838757434414653958554867666188918032580764456823543052186550598065274202815429422854462472667571574538858387867998414329933454151388286331651808647693526293692762417064950708195858564247377696502015145777592456251938396286679059848187691894010474603155197331329674699042786448063101884147531166618079851155235830918358780934562312218871557509427121162731527666679306052326089362921381441958671316048671056413613001214547459281836543551567264572431859408615331317539368801893919224328424019320925771345497072609323198284418150758674901516912485945690840193929082176379642922767363616216964858641854509823841156342542078193633621969104602852045520829194528472683089081209128611438213215919586448264947103477427496543037226844607825416831970822001190455116457176536023677033634887289406278887881318621193407997728624584143256161667306023156967859136388374504585452098663609333940076400448204684969174779728015496432954892719102453995208526355211774913842863852322952509351225501910796219550015223678523706473437900548028318413255348005707329928420095437639874559060566395560760851292325310280378632127347710274597608300469314737458519165188515731920206796880015792660328509292894635188260687614764716288311056556401604669612509494442065583325420189506028904005981044222753195216852013821619894594916311831735353247013527969291239996871283186635158668826604820706281933599890347401338123047690823208877592409973933193335634997475885157472147035867438496211246397176965987216468514445995726959874893913797164489892402888907456229926330820097758113813008295828481593050951855579522287514355871411074410780258397272316683623900168652545342315878334428937344835405863719303679321098261018946691738159262682629606957612480115271511506267833272649007175555744440647741043319515793995216165995756650773518249316901372325285881666119687077177709176052266869986411673359354188053429435411400370535305480222383655558653586116332075636614588814621973319559386106337910909164702661512993925705881942691152947465038791477677688044399233194782397854377918470579988784098315661968172079336276088656115420316229133998123987600364644018165794817284400914012395409321148785659845773707287591692742742817854310725571107089939776644802913253237990689031542032733779369481587338884629988632126344219355951897969493997686497001652763409348710270117009433320643507087233417823885707145293428445316326204450657523974379104178234710118509305132320138899745939421087228917536540031493070881454225553365414777805407937607368038258471837836545988091564736128021972726232694602537855226519463061538414324540734470952795957443757920853676762416945412470876501218882708183513647383433382838265646853697961251851130437069395222327593449777228989715920218048096080213208625338523510384644255889747724251569814421273657473125926243238180797382453578198755088447718774600607964447701906894922955613029953257698136642043611795318932350319612186145686369495185675207784954668}
23402  88066792696747435812782991790238689696520947013152594718026869928535134196740: {70197,724501,1355518,1448878,2008702,2538937,2710804,2847358,3126622,3405742,3510901,3684718,3830548,4149358,4479337,4617397,4799182,4984702,5077438,5306617,5508004,6096478,6268501,6624868,6928798,7636501,8036542,8045497,8062995,8589817,8600528,8865838,9141982,9233998,9404137,9411988,9675594,9785758,9968548,10080757,10520542,10795822,11162638,11287227,11895502,12367801,12444478,12963135,13084222,13111131,13437175,13827344,14102677,14452462,14652363,15031801,15493647,15541715,15544462,15555762,15998782,16124610,16543438,16616377,17010901,17178142,17199584,17449918,17631022,17902558,18264382,18282388,18650058,18713017,19193432,19234297,19349532,19364437,19468043,19748495,20159758,20661877,20969902,21239662,21349695,21592611,21756539,21850015,21958318,22140004,22202450,22773008,22851001,22855198,23107177,23394371,23443635,23641304,23698194,23894211,23929342,24733438,25001182,25006544,25019317,25146217,25536495,25619634,25976307,25983508,26220018,26416767,26596467,26642940,26915257,27049102,27238928,27292501,27645527,27669097,27811490,27936862,28114222,28132362,28295317,28419136,28545301,28720228,28734478,28909587,29022195,29266708,29972638,30060958,30590542,30621027,30643794,30782197,30924175,30957008,31031422,31080770,31104139,31383838,31823998,31971528,32014837,32175838,33084004,33373788,33420530,33484501,33728437,33897135,34281502,34416175,34456558,34771611,34826634,35288895,35479283,35592862,35825432,35967969,35984595,36151957,36156944,36929624,37109010,37254415,37296924,37335742,37422718,37641488,37711801,37950697,38383568,38638702,38665657,38725438,38903401,38932754,39493610,39582944,39590474,39730700,40104636,40303611,40323817,40441717,40676562,41299410,41320078,41340632,41394775,41545827,42295828,42346674,42441944,42525982,42780387,42783982,43017301,43181514,43385422,44052704,44401100,44407477,44414638,44522857,44530812,44705298,44989348,45185038,45612478,45662935,46124878,46210222,46508211,46784738,46957251,46977598,47383957,47392332,47675668,47676840,47747187,48177001,48229311,48763102,48932782,49303801,49400211,49441438,49559292,49673730,49780222,49864501,50034142,50088277,50200057,50287918,50684690,50855296,51182427,51301582,51562731,51757417,52060318,52310197,52985312,53281320,53560228,53636445,53675427,53957737,54496318,54543243,54795522,55155637,55241067,55372501,55589077,55618220,56502142,56557820,56833408,57002158,57085438,57212208,57525301,57738997,57751102,58183635,58332718,58581742,58590901,58809775,58879588,59023139,59549308,59584467,59608476,59940004,59941485,59990158,60331315,60486142,60700501,60821628,61528468,61970638,62056297,62062544,62167064,62263801,62509107,62546542,62574517,62945283,63203758,63642388,63937584,64118377,64363734,64454915,64515118,65002531,65138617,65224804,65250958,65544697,65646037,65763175,66353401,66380594,66476595,66554857,66741864,66835340,66856501,67166895,67557817,67613144,67694398,67857301,67869384,68015695,68100238,68547135,68907028,68910718,69072622,69229011,69638782,69724403,69787544,69800398,69820362,69837301,69937947,70284862,70327801,70470867,70571730,70621237,70849342,70908368,71011477,71644688,71929782,71982037,72297262,72397578,72406700,72551631,73116944,73739998,74251903,74376937,74554491,74664868,74999327,75084597,75108927,75276512,75696115,75894382,76064787,76353057,76353877,76540501,76562843,77086222,77244862,77270548,77324158,77345898,77799598,77931001,78195358,78428523,78510987,78669742,78883635,78915810,78985678,79031737,79079735,79174172,79454600,79543832,79578217,79771914,79869028,79941097,80202408,80561518,80600274,80797342,80863887,80875918,80933077,81336415,81559801,81618834,81739198,81974302,82209262,82256562,82991422,83494804,83734563,83944117,84142544,84176864,84318770,84409131,84686076,84813877,85070440,85328302,85561198,85716382,86259022,86888040,87133395,87266307,87650782,88220917,88729678,88806622,88945851,88960462,89386425,89486811,90127801,90227709,90648478,90782137,90835338,91251795,91325507,91350901,91489582,91593577,92078450,92241508,92317717,92481118,92680576,92942288,93059211,93215335,93353401,93511657,93545902,93773662,93776404,94077118,94376917,94660362,94683262,94698972,94829420,94895682,94910302,95078377,95212798,95345520,95697001,95704245,96051135,96796702,97143267,97335248,97347748,97374457,97473358,97600501,97603698,97749045,97750837,97772402,98140495,98200117,98298622,98523358,98598238,98721001,99238357,99606290,99943342,...,70277581752255288558381934054783760919972951943635232074774965116932379924124577783540196741377372810110686256353952823301366739903741455236051637284768978634061033043785225832241070780011331910786868813059541665096627570658083324464752734039140835917541194557860720632810402984253372711136449607279857566978127749774430133541495370107219411309353041007168647320551306807624480434802589999468990161396900308770401981210984236454681149306169910040109144469058795372128356530514218037692016619903083547590941203701597036898645130558333156354058579422970586192713444407023494624664774259190716649562135040005452624878661243574462818401744736557373517744487233147570756970179525193833884363959486727322369825532124529091704736939561022800322491417367097465193679128524335625012371755721282453258136151621980937832301499283377048871146685235314578279825897097911304223144134281693709001357361808287581801997621494900181227082429497477712971540289440539143625597426062293787846371066544753022718666388684377907594430018589772281537841015711904732795996994512048564179672094652826221296749927119776732853746377538171401843468328307336264140681744097291500018959078489134044382072162938006974073006584620419501821821188922754815327350896858647789112922996976309053202840878836492636028981388657018245608913984797426627226138012352275368728918536260290893623264569464384151045424325447287962781764735761734513813117290450432953656904278068281243791792709024633621813692917157319823879379672397420655216141244814555840266911738125247956233001785682674685764804035515550452330934109418331821977931790111996592936876214884242500959034735451788704582561756878178147995414000910114600672307027453762169592023244649432339078653680992812789532817662370764295778484428764026838252866194329325022835517785559710156850822042477619883022008560994892630143156459811838590849593341141276938487965420567948191021565411896412450703972106187778747782773597880310195320023688990492763939341952782391031422147074432466584834602407004418764241663098374988130284259043356008971566334129792825278020732429841892374467747603029870520291953936859995306924779952738003239907231059422900399835521102007184571536234813316388614960899790003452496213827736208220553801157744316869595765448980824702771668993590439812340870695746734838604333361184344889496230146637170719512443742722389576427783369283431271533807116611616170387595908475025435850252978818013473817501643406017253108795578955518981647391528420037607238894023944410436418720172907267259401749908973510763333616660971611564979273690992824248993634976160277373975352058487928822499179530615766563764078400304979617510039031282080144153117100555802958220333575483337980379174498113454921883221932959979339079159506866363747053992269490888558822914036729421197558187216516532066598849792173596781566877705869983176147473492952258119004414132984173130474343700997185981400546966027248692225926601371018593113981723178489768660560931387539114114226781466088356660634909664967204369879856986033547313049100669054222381008326944982948189516329033927846954240996529745502479145114023065405175514149980965260630850126735828560717940142667974489306675986285961568656267352065177763957698480208349618909131630843376304810047239606322181338330048122166708111906411052057387707756754818982137347104192032959089349041903806782839779194592307621486811101706429193936165636881280515143625418118706314751828324062275270471075150074257398470280546941877776695655604092833491390174665843484573880327072144120319812938007785265576966383834621586377354721631910486209688889364857271196073680367298132632671578161900911946671552860342384433419544929886547204963065417692978398525479418279218529554242778512811677432002}
23403  88380141476081183623945257133935810050205075640941421845932285491130671136568: {93596,2033277,2173317,3013053,3388505,4066206,4271037,4689933,4788185,5108613,5527077,5745822,5772637,5912357,6224037,6753641,6885005,7198773,7477053,7525462,7616157,8262006,8281085,9144717,9769078,9937302,10329982,10393197,10750660,11515001,11544286,11764985,12054813,12098926,12355853,12460685,12900792,13298757,13606637,13712973,13850997,14117982,14513391,14678637,14952822,15049636,15143117,15780813,16193733,16743957,16794253,17284180,17481508,17843253,18213701,18647861,18666717,18825742,19536484,19626333,19926382,20658196,20686141,20741016,21023033,21499480,21678693,21880726,22008677,22852985,23316693,23333643,23396981,23834062,23940397,23991790,23998173,24186915,24815157,24866744,25222973,25767213,25799376,25876301,26174877,26446533,26853837,27087382,27396573,27423582,27675005,27742937,27975087,28435613,28466260,28790148,28935797,29024298,29372473,29551630,30239637,31258180,31347253,31454853,31597592,31637326,31646597,31794701,31858948,31859493,32313421,32332357,32479385,32936302,32937477,33210006,33303675,33585622,34048660,34159512,34282797,34635076,34960024,35222356,35248361,35461956,35523920,35547291,35844377,35894013,35900285,36173053,36583385,36996622,37100157,37136701,37501773,37509816,38135926,38429451,38546116,38696260,38975262,39202601,39330027,39964410,40514518,40573653,40625182,40828036,40858392,41355005,41717235,41905293,42014557,42171333,42198543,42344501,42628704,43080342,43101717,43900062,44081101,44473973,44498384,44781790,44857558,44958957,45091437,45196180,45885813,45965691,46162030,46362148,46435512,46547133,46621155,47051860,47075757,47676677,47735997,47957292,47979460,48263757,48745301,49218013,49478680,49626006,49663375,49707262,49729232,50060682,50130795,51422253,51675790,51684837,52239951,52869785,53052430,53389293,53472848,53525902,53738148,54058078,54077117,54235416,54304726,54396181,54610777,55065880,55394436,55501375,55663515,55945386,56003613,56061437,56134077,56236685,56462232,57040516,57044557,57575352,57857902,57958053,58088157,58201273,58399131,58739902,59161501,59240415,59356517,59374416,59385711,59594585,59596050,59607064,60156954,61014843,61064101,61949115,61980117,62010948,62044822,62189782,62609668,62689102,62893078,62914393,63189776,63443742,63520011,63569120,63662916,63788973,63869326,63977326,64175973,64305748,64602581,64772271,65078133,65441273,65866948,65972686,66079056,66231640,66601650,66621957,66796218,66950285,67057947,67107133,67161133,67484022,67777557,67800101,68243236,68418717,68750308,69187317,69286141,69315333,69522775,69600853,70177107,70466397,70697275,71041760,71088498,71101558,71513502,71515260,71567236,71844502,72724324,72830957,73060696,73144653,73399173,73599485,73624726,73654756,74162157,74207422,74297917,74338938,74436635,74448077,74510595,74670333,74925005,75051213,75431877,76027035,76282944,76910585,76952373,77578180,77659961,77708830,78090477,78776926,78960101,79218437,79445956,79477968,79552985,79795117,79921980,80340342,81095504,81324502,81531005,81744477,82193283,82474318,82820062,83292022,83345476,83427330,83512441,83544175,83927044,84516430,84753213,84836730,85168342,85250112,85271638,85503237,85628157,85818312,86133785,86626653,87234430,87499077,87598877,87872613,88178783,88319382,88635460,88989152,89323962,89370581,89412714,89460437,89555860,89647726,89910006,89985237,90492512,90508375,90729213,91114006,91232442,91396180,91425742,92292702,92305348,92418238,92900557,92955957,93093816,93250596,93331085,93819813,93961156,94095640,94223062,94805637,95463582,95518517,95906376,96530104,96545601,96588185,96735508,96772677,97761853,97837206,97876437,98429837,98494462,98692741,98967715,99222877,99227926,99318250,99405988,99429790,99570891,99836285,99917086,...,105416372628382932837572901082175641379959427915452848112162447675398569886186866675310295112066059215166029384530929234952050109855612182854077455927153467951091549565677838748361606170016997866180303219589312497644941355987124986697129101058711253876311791836791080949215604476380059066704674410919786350467191624661645200312243055160829116964029561510752970980826960211436720652203884999203485242095350463155602971816476354682021723959254865060163716703588193058192534795771327056538024929854625321386411805552395555347967695837499734531087869134455879289070166610535241936997161388786074974343202560008178937317991865361694227602617104836060276616730849721356135455269287790750826545939230090983554738298186793637557105409341534200483737126050646197790518692786503437518557633581923679887204227432971406748452248925065573306720027852971867419738845646866956334716201422540563502036042712431372702996432242350271840623644246216569457310434160808715438396139093440681769556599817129534077999583026566861391645027884658422306761523567857099193995491768072846269508141979239331945124890679665099280619566307257102765202492461004396211022616145937250028438617733701066573108244407010461109509876930629252732731783384132222991026345287971683669384495464463579804261318254738954043472082985527368413370977196139940839207018528413053093377804390436340434896854196576226568136488170931944172647103642601770719675935675649430485356417102421865687689063536950432720539375735979735819069508596130982824211867221833760400367607187871934349502678524012028647206053273325678496401164127497732966897685167994889405314322326363751438552103177683056873842635317267221993121001365171901008460541180643254388034866974148508617980521489219184299226493556146443667726643146040257379299291493987534253276678339565235276233063716429824533012841492338945214734689717757886274390011711915407731948130851922286532348117844618676055958159281668121674160396820465292980035533485739145909012929173586547133220611648699877251903610506628146362494647562482195426388565034013457349501194689237917031098644762838561701621404544805780437930905289992960387169929107004859860846589134350599753281653010776857304352219974582922441349685005178744320741604312330830701736616475304393648173471237054157503490385659718511306043620102257906500041776517334244345219955756079268665614083584364641675053925146907300710674917424255581393862712538153775379468227020210726252465109025879663193368433278472471087292630056410858341035916615654628080259360900889102624863460266145000424991457417347468910536489236373490452464240416060963028087731893233748769295923649845646117600457469426265058546923120216229675650833704437330500363225006970568761747170182382824832899439969008618739260299545620580988404236332838234371055094131796337280824774798099898274688260395172350316558804974764221210239428387178506621199476259695711515551495778972100820449040873038338889902056527889670972584767734652990841397081308671171340172199132534990952364497450806554819785479050320969573651003581333571512490417474422284274493550891770431361494794618253718717671034598107763271224971447890946275190103742841076910214001961733960013979428942352984401028097766645936547720312524428363697446265064457215070859409483272007495072183250062167859616578086081561635132228473206020656288049438634023562855710174259668791888461432230216652559643790904248455321920772715438127178059472127742486093412905706612725111386097705420820412816665043483406139250237085261998765226860820490608216180479719407011677898365449575751932379566032082447865729314533334047285906794110520550947198949007367242851367920007329290513576650129317394829820807444598126539467597788219127418827794331364167769217516148003}
23404  88694597885932730320659661325172259374104672541002198960278247638221260053851: {116995,140394,1097779,1449002,1656643,1935643,2492779,2631883,2711036,2897756,4017404,5077874,5421608,5694716,6099309,6253244,6811484,7021802,7318579,7369436,7661096,8000779,8298716,8618733,8817043,8958674,9224203,9234794,9598364,9901363,9969404,10154876,10171723,10576723,10613234,10711579,11016008,11288193,11519203,12192956,12393009,12537002,13249736,13393579,13438325,13526923,13857596,14059579,14653617,14856403,14905953,15273002,15386179,15494973,15518443,16073084,16090994,16125990,17179634,17201056,17231323,17316429,17731676,18148389,18283964,18467996,18808274,18812045,18823976,19351188,19452883,19571516,19937096,20161514,21041084,21176973,21591644,21605225,21758401,21782443,21851885,22325276,22429233,22574454,22682083,23705923,23791004,24420605,24470779,24735602,24888956,25822745,25926270,26168444,26222262,26874350,27647893,27654688,28205354,28238613,28904924,29304726,29889573,30063602,30124579,30248563,30590021,30987294,31083430,31088924,31106801,31111524,31361179,31997564,32249220,32713123,32821089,33080323,33086876,33232754,33324763,33934603,34021802,34356284,34399168,34542643,34899836,34906603,35262044,35582825,35632579,35751093,35805116,35987685,36235579,36528764,36564776,36759437,37300116,37316443,37426034,38386864,38468594,38629579,38699064,38728874,38936086,39072725,39496990,39815779,39823685,40319516,40631073,40877203,41112283,41135373,41323754,41939804,42479324,42560825,42699390,42749779,42866203,43185222,43293845,43331179,43513078,43536447,43700030,43916636,44026483,44027945,44280008,44327445,44373163,44404900,44488579,45546016,45702002,45710396,46214354,46788742,46887270,46895683,47282608,47396388,47455989,47788422,47858684,48182645,48370325,48482779,49404453,49466876,49815009,50002364,50013088,50038634,50055763,50279323,50292434,50378433,50836963,51035045,51072990,51170683,51239268,51952614,51967016,52156181,52440036,52829563,52833534,53192934,53285880,53830514,54098204,54477856,54585002,54690043,55124779,55291054,55338194,55494933,55622980,55666579,55873724,56098723,56228444,56264724,56495225,56590634,56637283,56838272,57090602,57203889,57281179,57440456,57468956,57819174,57952685,58044390,58462893,58533416,58773523,58814825,59408779,59936179,59945276,59946615,59974325,60121916,60566683,60771777,60937773,61181084,61242054,61287588,61403323,61564394,61848350,61914016,62062844,62161540,62208278,62767676,63647996,63928109,63943056,64029674,64351676,64620513,64703803,65009443,65618779,65850093,66168008,66747576,66841060,66969002,67172685,67286337,67456874,67794270,68129779,68229283,68563004,68832350,68913116,69121579,69243045,69516283,69543222,69653268,70577790,70958566,71185724,71300645,71650864,71935938,71969190,72303914,72313888,72536179,73859248,74218020,74439009,74508830,74560893,74593848,74671484,74826643,74845436,75015643,75091023,75282976,75298603,75423602,75486883,75901394,76767136,76796779,76821173,77277404,77331314,77450876,77513685,77631403,77806802,77816083,77865508,78262085,78987220,79165888,79180948,79461400,79578645,80209272,80288853,80382185,80607222,80647634,80883434,81087117,81270283,81353124,81457089,81895243,82333685,82598820,82640156,82681264,82789550,82987421,83091654,83222563,83486083,83918079,84446779,84463841,84591656,84693348,84883888,84967123,85051964,85304045,85560774,85567964,85937885,86034602,86363028,86770844,86786853,87529963,87752249,87782683,87950803,88105408,88109853,88369843,88802200,88814954,88829276,89045714,89061624,89119579,89394075,89410596,89459045,89533579,89978696,90235431,90236881,90370076,90905405,91224956,91252723,91325870,92060203,92068445,92249756,92420444,92701003,93016422,93067233,93284673,93569476,93914502,93955196,93968779,94033653,94047403,94282843,94339617,94767914,94784664,95165613,95221973,95351336,95353680,95450323,95494374,95604763,95803989,95965989,96354002,96458622,96972725,97435579,97526204,97865564,98260843,98484403,98607602,98800422,98882876,98959029,99118584,99307445,99347460,99560444,99729002,99902475,...,140555163504510577116763868109567521839945903887270464149549930233864759848249155567080393482754745620221372512707905646602733479807482910472103274569537957268122066087570451664482141560022663821573737626119083330193255141316166648929505468078281671835082389115721441265620805968506745422272899214559715133956255499548860267082990740214438822618706082014337294641102613615248960869605179998937980322793800617540803962421968472909362298612339820080218288938117590744256713061028436075384033239806167095181882407403194073797290261116666312708117158845941172385426888814046989249329548518381433299124270080010905249757322487148925636803489473114747035488974466295141513940359050387667768727918973454644739651064249058183409473879122045600644982834734194930387358257048671250024743511442564906516272303243961875664602998566754097742293370470629156559651794195822608446288268563387418002714723616575163603995242989800362454164858994955425943080578881078287251194852124587575692742133089506045437332777368755815188860037179544563075682031423809465591993989024097128359344189305652442593499854239553465707492755076342803686936656614672528281363488194583000037918156978268088764144325876013948146013169240839003643642377845509630654701793717295578225845993952618106405681757672985272057962777314036491217827969594853254452276024704550737457837072520581787246529138928768302090848650894575925563529471523469027626234580900865907313808556136562487583585418049267243627385834314639647758759344794841310432282489629111680533823476250495912466003571365349371529608071031100904661868218836663643955863580223993185873752429768485001918069470903577409165123513756356295990828001820229201344614054907524339184046489298864678157307361985625579065635324741528591556968857528053676505732388658650045671035571119420313701644084955239766044017121989785260286312919623677181699186682282553876975930841135896382043130823792824901407944212375557495565547195760620390640047377980985527878683905564782062844294148864933169669204814008837528483326196749976260568518086712017943132668259585650556041464859683784748935495206059741040583907873719990613849559905476006479814462118845800799671042204014369143072469626632777229921799580006904992427655472416441107602315488633739191530897961649405543337987180879624681741391493469677208666722368689778992460293274341439024887485444779152855566738566862543067614233223232340775191816950050871700505957636026947635003286812034506217591157911037963294783056840075214477788047888820872837440345814534518803499817947021526667233321943223129958547381985648497987269952320554747950704116975857644998359061231533127528156800609959235020078062564160288306234201111605916440667150966675960758348996226909843766443865919958678158319013732727494107984538981777117645828073458842395116374433033064133197699584347193563133755411739966352294946985904516238008828265968346260948687401994371962801093932054497384451853202742037186227963446356979537321121862775078228228453562932176713321269819329934408739759713972067094626098201338108444762016653889965896379032658067855693908481993059491004958290228046130810351028299961930521261700253471657121435880285335948978613351972571923137312534704130355527915396960416699237818263261686752609620094479212644362676660096244333416223812822104114775415513509637964274694208384065918178698083807613565679558389184615242973622203412858387872331273762561030287250836237412629503656648124550540942150300148514796940561093883755553391311208185666982780349331686969147760654144288240639625876015570531153932767669243172754709443263820972419377778729714542392147360734596265265343156323801823893343105720684768866839089859773094409926130835385956797050958836558437059108485557025623354864004}
23405  89010165815950182096910460053752538731494712173787187720281675349310629713258: {187192,210591,2173503,3388795,3622195,4066554,4346634,4743907,5021755,5912863,6026106,6703459,6754219,6777010,6987331,7118395,7548187,7616811,7816555,8132412,8514355,8542074,9211795,9379866,9506299,9576370,9639007,10217226,10373395,10532703,11054154,11491644,11545274,11593519,11824714,11997955,12309139,12448074,12461755,12693595,12869707,13438011,13507282,13770010,13852191,14397546,14954106,15050924,15232314,15241195,15656443,15919851,16080571,16470979,16524012,16562170,17191999,17321995,17444959,17896411,18289434,18726763,18805503,19538156,19874604,20091355,20659964,20786394,20841727,21282943,21501320,21525283,22164595,22854955,22909503,23030002,23082271,23084995,23088572,23496331,23529970,24109626,24136491,24188985,24190099,24197852,24464395,24711706,24857899,24921370,25042747,25769451,25801584,25878523,26149567,26301355,26388703,26562619,26597514,26989555,27213274,27425946,27701994,27906595,28212411,28235964,29026782,29096251,29357274,29656243,29738755,29905644,30099272,30242271,30286234,30581083,31111195,31561626,31994179,32387466,32710555,32719363,33487914,33588506,33861681,33987439,34196851,34568360,34963016,35387059,35686506,36131155,36427402,37103403,37295722,37333434,37651484,38066863,38316403,38406859,38745007,38861155,38889405,39072968,39252666,39333393,39395227,39852764,39996955,40311525,40555219,41114923,41316392,41358595,41372282,41482032,42046066,42308031,42667999,42945355,42998960,43135987,43357386,43624795,43761452,43957089,44017354,44077555,44756395,45095403,45471139,45660955,45705970,46480941,46625145,46633386,46667286,46793962,47326207,47668124,47680771,47880794,47983580,47996346,48373830,48749503,49255723,49630314,49733488,49849131,50260399,50267899,50399395,50445946,50654803,51032703,51216739,51493999,51534426,51598752,51752602,52349754,52424755,52893066,53099155,53373427,53707674,54151579,54174764,54793146,54847164,54895795,55147951,55350010,55485874,55506125,55950174,56066251,56139051,56871226,56932520,57137995,57580296,57608083,57702891,57847999,57871594,57897007,58048596,58093311,58404129,58744946,59103260,59245485,59823355,59927743,60476131,60479274,61201219,61833595,61985631,62502955,62516360,62694506,62909706,63195184,63274652,63293194,63589402,63717896,63718986,63897823,63996859,64049085,64626842,64664714,64777833,64958770,65269617,65483827,65550045,65872604,65874954,66420012,66607350,66792499,66917983,67171244,67622755,67805923,68097320,68319024,68553003,68565594,69270152,69321531,69528725,69709963,69842155,69920048,70055263,70148611,70183113,70285555,70330905,70437499,70444712,70496722,70624987,70923912,71047840,71094582,71107423,71682633,71688754,71788026,71800570,71836195,72203707,72346106,72837211,73166770,73343359,73993244,74017699,74200314,74273402,74931595,75003546,75019632,75057951,75152395,75299803,75320659,75438651,76271852,76476355,76609485,76657747,76858902,77092232,77392520,77578555,77701925,77928921,77950524,77964799,78405202,78448387,78459595,78660054,78731359,79250301,79467883,79559995,79789401,79928820,80439595,80745771,81029036,81147306,81250364,81656072,81716784,81877503,82710010,82936581,83007291,83082751,83432419,83434470,83551325,83810586,83972383,84029114,84342666,84397086,84689002,84885951,85257408,85472299,85635903,85703755,86141395,86160684,86203434,86434927,86728761,86796427,87066585,87800124,87984091,88162202,88947946,88982155,88996768,89468203,89563580,89715116,89917914,90066451,90157987,90182874,90392360,91771626,91863081,91931382,92021887,92324060,92346591,92348611,92724296,92772525,92871024,92959999,93094266,93242310,93312417,93316483,93339355,93556795,93730399,94103720,94151514,94455163,95353354,95471994,95526751,95914584,95958920,96044511,96527514,96585763,96596755,96813595,96945343,97331885,97334227,97490602,98436026,98734025,98957360,98976185,99252012,99326750,99414524,99458464,99884767,...,210832745256765865675145802164351282759918855830905696224324895350797139772373733350620590224132118430332058769061858469904100219711224365708154911854306935902183099131355677496723212340033995732360606439178624995289882711974249973394258202117422507752623583673582161898431208952760118133409348821839572700934383249323290400624486110321658233928059123021505941961653920422873441304407769998406970484190700926311205943632952709364043447918509730120327433407176386116385069591542654113076049859709250642772823611104791110695935391674999469062175738268911758578140333221070483873994322777572149948686405120016357874635983730723388455205234209672120553233461699442712270910538575581501653091878460181967109476596373587275114210818683068400967474252101292395581037385573006875037115267163847359774408454865942813496904497850131146613440055705943734839477691293733912669432402845081127004072085424862745405992864484700543681247288492433138914620868321617430876792278186881363539113199634259068155999166053133722783290055769316844613523047135714198387990983536145692539016283958478663890249781359330198561239132614514205530404984922008792422045232291874500056877235467402133146216488814020922219019753861258505465463566768264445982052690575943367338768990928927159608522636509477908086944165971054736826741954392279881678414037056826106186755608780872680869793708393152453136272976341863888345294207285203541439351871351298860970712834204843731375378127073900865441078751471959471638139017192261965648423734443667520800735214375743868699005357048024057294412106546651356992802328254995465933795370335989778810628644652727502877104206355366113747685270634534443986242002730343802016921082361286508776069733948297017235961042978438368598452987112292887335453286292080514758598582987975068506553356679130470552466127432859649066025682984677890429469379435515772548780023423830815463896261703844573064696235689237352111916318563336243348320793640930585960071066971478291818025858347173094266441223297399754503807221013256292724989295124964390852777130068026914699002389378475834062197289525677123403242809089611560875861810579985920774339858214009719721693178268701199506563306021553714608704439949165844882699370010357488641483208624661661403473232950608787296346942474108315006980771319437022612087240204515813000083553034668488690439911512158537331228167168729283350107850293814601421349834848511162787725425076307550758936454040421452504930218051759326386736866556944942174585260112821716682071833231309256160518721801778205249726920532290000849982914834694937821072978472746980904928480832121926056175463786467497538591847299691292235200914938852530117093846240432459351301667408874661000726450013941137523494340364765649665798879938017237478520599091241161976808472665676468742110188263592674561649549596199796549376520790344700633117609949528442420478856774357013242398952519391423031102991557944201640898081746076677779804113055779341945169535469305981682794162617342342680344398265069981904728994901613109639570958100641939147302007162667143024980834948844568548987101783540862722989589236507437435342069196215526542449942895781892550380207485682153820428003923467920027958857884705968802056195533291873095440625048856727394892530128914430141718818966544014990144366500124335719233156172163123270264456946412041312576098877268047125711420348519337583776922864460433305119287581808496910643841545430876254356118944255484972186825811413225450222772195410841640825633330086966812278500474170523997530453721640981216432360959438814023355796730899151503864759132064164895731458629066668094571813588221041101894397898014734485702735840014658581027153300258634789659641614889196253078935195576438254837655588662728335538435032296006}
23406  89326849169351391277131209692291620024236280039963587520538848362386729134258: {163793,233990,280788,864653,1563713,1703309,1842833,2195558,2539373,2632109,2898004,2956433,3187853,3313286,3871286,4157633,4572173,4985558,5263766,5399309,5422072,5536913,5795512,6086609,6099831,6519951,7091393,8001473,8034808,8046893,8137709,8455313,8727233,8953613,9039159,9947309,10155748,10165515,10172609,10622609,10843216,11389432,11430593,12198618,12503873,12506488,12813111,13622968,13661393,14043604,14069799,14105153,14364555,14637158,14738872,15322192,15325839,16001558,16092173,16487633,16581231,16597432,17237466,17317911,17407853,17634086,17737071,17801153,17917348,18448406,18469588,18672111,18813655,18933713,19196728,19324493,19454609,19802726,19938808,20260923,20309752,20343446,20655015,21053453,21153446,21226468,21397709,21423158,21596319,22032016,22341773,22431159,22576386,22598573,22848471,23038406,23239313,23750609,24385912,24422695,24600209,24786018,24843255,25023809,25074004,25150733,25824955,26336863,26499472,26787158,26876650,26920109,27004013,27053846,27434151,27674093,27715192,27883073,28119158,28258733,28383809,28675373,28860715,29298833,29307234,29712806,29811906,30127313,30247315,30546004,30592639,30772358,30989946,30993773,31036886,31179591,31405133,32146168,32181988,32251980,33734609,34188847,34221713,34359268,34402112,34462646,34545003,34632858,35030993,35273153,35294955,35463352,36151843,36164439,36238913,36279053,36296778,36567928,36760109,36762583,36935992,37067559,37359809,37382055,37559309,37616548,37624090,37647952,38077073,38672813,38702376,38905766,39143032,39819473,39874192,39896271,40323028,40409933,40645613,40819911,40998593,41116109,41138919,41552991,42082168,42287309,42353946,42559553,42792593,43183288,43210450,43335233,43373933,43442971,43516802,43540173,43564886,43703770,44035911,44415809,44492753,44531213,44650552,44858466,45148908,45298733,45364166,45429351,45451853,46253633,46900109,47064355,47342439,47355053,47411846,47468609,47582008,47922113,48581199,48841210,48941558,49275713,49425473,49471204,49777912,49815955,50097809,50209613,50231871,50284109,50382759,50841809,51286673,51508673,51645490,51656513,51841133,51852540,52320209,52336888,52444524,53164493,53310893,53529759,53748700,54404813,54641103,54695309,54701815,54949073,55130093,55166273,55238609,55295786,55309376,55671953,55708013,55753159,55888193,55943583,56000151,56140109,56410708,56477226,57108113,57809848,58460609,58609452,58708493,58878999,59414573,59585155,59779146,59942033,59979475,60127204,60249158,60497126,60572609,60611383,61180042,61200593,61639123,61860653,61974588,62058423,62068493,62166860,62177848,62213602,62223048,62586833,62655809,62722358,63069099,63103373,63275153,63583853,63995128,64437953,64498440,65036079,65151533,65426246,65625293,65642178,65659073,66026031,66160646,66173752,66332993,66465508,66649526,67070609,67337873,67455703,67718455,67869206,68043604,68236109,68558955,68567309,68712568,68798336,68963693,69085286,69161453,69799672,69813206,69949613,69950079,70000929,70190943,70309313,70524088,71165650,71188109,71265158,71449063,71502186,71512109,71610232,71821191,71975370,71994519,71996609,72471158,72560745,72864173,73056173,73057528,73129552,73215953,73518874,73879075,74445471,74455373,74550209,74600232,74632886,74852068,74865809,75243473,75337709,75494609,75668919,76338413,76431809,76525133,76742609,76773728,76937188,77259158,77301639,77398128,77454413,77457748,77628903,77670209,77872172,77916353,78039233,78145450,78524631,78743309,78993980,79093315,79339599,79631558,79647370,79655309,79746113,80018093,80561511,80639032,81133759,81262146,81308609,81754406,82189719,82224566,82270746,82340755,82554833,82647508,82702253,83025015,83228811,83582573,83879608,83925261,83964055,84310673,84958648,84976109,85121650,85177793,85306839,85398780,85499558,85732406,85751873,86037713,86370444,86550209,86587690,86662358,86807391,87026156,87072894,87201293,87314093,87398609,87400060,87833272,88052966,88055890,88117419,88560016,88654890,88746326,88809800,88977158,89156813,89488109,90529613,90718911,90720209,90788659,91092032,91404004,91420792,91586513,91667309,91936109,92150573,92428708,92491555,92551313,92750647,93056333,93347393,93577484,93611153,93774540,93791366,94041759,94057709,94364559,94528013,94565216,94792776,94911978,94939791,95151053,95339815,95384103,95576844,95578479,95615309,95692433,95717368,96076973,96365290,96561473,96740650,96940263,96965558,96997071,97144109,97438155,97446413,97471553,97847693,98076043,98197133,98271809,98520209,98808906,98812431,98933752,99334253,99630018,99820903,99911025,99993809,...,316249117885148798512718703246526924139878283746358544336487343026195709658560600025930885336198177645498088153592787704856150329566836548562232367781460403853274648697033516245084818510050993598540909658767937492934824067961374960091387303176133761628935375510373242847646813429140177200114023232759359051401574873984935600936729165482487350892088684532258912942480880634310161956611654997610455726286051389466808915449429064046065171877764595180491150110764579174577604387313981169614074789563875964159235416657186666043903087512499203593263607403367637867210499831605725810991484166358224923029607680024536811953975596085082682807851314508180829850192549164068406365807863372252479637817690272950664214894560380912671316228024602601451211378151938593371556078359510312555672900745771039661612682298914220245356746775196719920160083558915602259216536940600869004148604267621690506108128137294118108989296727050815521870932738649708371931302482426146315188417280322045308669799451388602233998749079700584174935083653975266920284570703571297581986475304218538808524425937717995835374672038995297841858698921771308295607477383013188633067848437811750085315853201103199719324733221031383328529630791887758198195350152396668973079035863915051008153486393390739412783954764216862130416248956582105240112931588419822517621055585239159280133413171309021304690562589728679704409464512795832517941310927805312159027807026948291456069251307265597063067190610851298161618127207939207457208525788392948472635601665501281201102821563615803048508035572036085941618159819977035489203492382493198900693055503984668215942966979091254315656309533049170621527905951801665979363004095515703025381623541929763164104600922445525853941564467657552897679480668439331003179929438120772137897874481962602759830035018695705828699191149289473599038524477016835644204069153273658823170035135746223195844392555766859597044353533856028167874477845004365022481190461395878940106600457217437727038787520759641399661834946099631755710831519884439087483942687446586279165695102040372048503584067713751093295934288515685104864213634417341313792715869978881161509787321014579582539767403051799259844959032330571913056659923748767324049055015536232962224812936992492105209849425913180944520413711162472510471156979155533918130860306773719500125329552002733035659867268237805996842250753093925025161775440721902132024752272766744181588137614461326138404681060632178757395327077638989580105299835417413261877890169232575023107749846963884240778082702667307874590380798435001274974372252042406731609467709120471357392721248182889084263195679701246307887770949536938352801372408278795175640769360648689026952501113311991501089675020911706285241510547148474498698319907025856217780898636861742965212708998514703113165282395389011842474324394299694824064781185517050949676414924292663630718285161535519863598428779087134546654487336916302461347122619115016669706169583669012917754303203958972524191243926013514020516597397604972857093492352419664459356437150962908720953010744000714537471252423266852823480652675311294084484383854761156153013103794323289813674914343672838825570311228523230730642005885201880041938286827058953203084293299937809643160937573285091092338795193371645212578228449816022485216549750186503578849734258244684905396685419618061968864148315902070688567130522779006375665384296690649957678931372712745365965762318146314381534178416383227458280238717119838175334158293116262461238449995130450218417750711255785996295680582461471824648541439158221035033695096348727255797138698096247343597187943600002141857720382331561652841596847022101728554103760021987871540729950387952184489462422333794379618402793364657382256483382994092503307652548444009}
23407  89644651862970986509232641141314178454045243651559287593719948508272620867227: {350985,374384,421182,3293337,3622505,4347006,4744313,4969929,5071073,5806929,6777590,6987929,7030457,7244390,7478337,7548833,7895649,8133108,8436209,8693268,9487814,9965753,10043510,10943177,11234717,11825726,11920097,12052212,12694685,12896513,13406918,13508438,13554020,13757273,13974662,14236790,14522753,15096374,15233622,15633110,16264824,16797137,17028710,17084148,17446457,17554505,17771033,18297927,18423590,18503069,18759732,19012598,19152740,19278014,20317817,20434452,20746790,21065406,21337673,21955737,22108308,22131629,22396685,22983288,23086985,23090548,23187038,23649428,23995910,24002337,24250793,24618278,24896148,24923510,25152569,25387190,25739414,25856199,26390969,26451129,26533085,26769833,26876022,27014564,27035993,27540020,27672609,27704382,28127897,28795092,29377517,29687633,29704089,29908212,30101848,30464628,30482390,30515169,30583709,31030433,31102889,31186649,31306673,31312886,31342505,31730169,31839702,31942877,31996937,32134737,32161142,32318993,32506793,32941958,33048024,33124340,33864579,34250153,34383998,34557609,34643990,34889918,35792822,36578868,36821897,37113257,37179027,37453526,37611006,37785377,38182505,38410157,39069233,39076312,39139169,39749208,40180737,40182710,40227485,40314975,40580769,41319928,41572788,41634257,41683454,42178737,42565886,42925313,42949085,43002640,43050566,43120529,43555673,43960851,44329190,44569209,44717859,45293273,45709910,45794777,45819006,46060004,46158537,46164542,46169990,46177144,46484919,46555329,46992662,47020685,47059940,48210809,48219252,48272982,48377970,48380198,48395704,48928790,49259969,49423412,49715798,49842740,50085494,50403785,50425817,50583617,50778233,50887913,51538902,51603168,51693969,51757046,51949287,52299134,52602710,52777406,53125238,53125769,53195028,53979110,54405617,54426548,54445167,54851892,54942113,55403988,55813190,55995737,56424822,56436135,56471928,56843369,57054353,57613049,57902033,58053564,58192502,58211309,58357673,58358649,58714548,59312486,59407517,59477510,59811288,59932889,60123497,60198544,60484542,60522353,60572468,61074713,61162166,61708577,61839005,62222390,62658953,62925197,63123252,63530919,63925337,63988358,64362017,64774932,64815675,65275203,65347329,65421110,65438726,65555655,66975828,67118657,67177012,67185875,67287699,67723362,67974878,68046249,68079593,68365817,68393702,69136720,69715949,69926032,69999953,70513385,70559153,70774118,71113529,71117769,71373012,71414093,72262310,72854804,73110449,73261815,73349657,73394657,73412337,73553309,74206806,74338817,74591444,74666868,75159005,75302968,75306269,75515609,76109357,76133726,76632806,76813718,76854113,77183273,77468235,77490014,77708575,77722310,77778810,78145936,78505332,78666786,78790454,78933809,79084889,79705528,79993193,79993910,80623050,81110438,82229846,82632784,82717190,82744564,82943679,82964064,83081885,83244317,83752697,83872697,84092132,84181913,84616062,84715839,85054505,85335998,85479713,85633433,85890710,85997920,86271974,86567033,86714772,86956253,87249590,87504137,87522904,87677609,87826097,87914178,88034708,88155110,89512790,89668719,90190806,90373737,90745689,90942278,91321910,91411940,91770063,92140217,92540813,92961882,92968073,93250290,93266772,93320403,93334572,93565085,93587924,93916589,94083537,94652414,94671857,95141273,95336248,95361542,95761588,95957873,95967160,95992692,96171485,96594089,96747660,96822185,97340215,97499006,97779017,98139369,98399777,98463267,98511446,98742475,99240089,99240969,99260628,99466976,99698262,99974289,...,421665490513531731350291604328702565519837711661811392448649790701594279544747466701241180448264236860664117538123716939808200439422448731416309823708613871804366198262711354993446424680067991464721212878357249990579765423948499946788516404234845015505247167347164323796862417905520236266818697643679145401868766498646580801248972220643316467856118246043011883923307840845746882608815539996813940968381401852622411887265905418728086895837019460240654866814352772232770139183085308226152099719418501285545647222209582221391870783349998938124351476537823517156280666442140967747988645555144299897372810240032715749271967461446776910410468419344241106466923398885424541821077151163003306183756920363934218953192747174550228421637366136801934948504202584791162074771146013750074230534327694719548816909731885626993808995700262293226880111411887469678955382587467825338864805690162254008144170849725490811985728969401087362494576984866277829241736643234861753584556373762727078226399268518136311998332106267445566580111538633689227046094271428396775981967072291385078032567916957327780499562718660397122478265229028411060809969844017584844090464583749000113754470934804266292432977628041844438039507722517010930927133536528891964105381151886734677537981857854319217045273018955816173888331942109473653483908784559763356828074113652212373511217561745361739587416786304906272545952683727776690588414570407082878703742702597721941425668409687462750756254147801730882157502943918943276278034384523931296847468887335041601470428751487737398010714096048114588824213093302713985604656509990931867590740671979557621257289305455005754208412710732227495370541269068887972484005460687604033842164722573017552139467896594034471922085956876737196905974224585774670906572584161029517197165975950137013106713358260941104932254865719298132051365969355780858938758871031545097560046847661630927792523407689146129392471378474704223832637126672486696641587281861171920142133942956583636051716694346188532882446594799509007614442026512585449978590249928781705554260136053829398004778756951668124394579051354246806485618179223121751723621159971841548679716428019439443386356537402399013126612043107429217408879898331689765398740020714977282966417249323322806946465901217574592693884948216630013961542638874045224174480409031626000167106069336977380879823024317074662456334337458566700215700587629202842699669697022325575450850152615101517872908080842905009860436103518652773473733113889884349170520225643433364143666462618512321037443603556410499453841064580001699965829669389875642145956945493961809856961664243852112350927572934995077183694599382584470401829877705060234187692480864918702603334817749322001452900027882275046988680729531299331597759876034474957041198182482323953616945331352937484220376527185349123299099192399593098753041580689401266235219899056884840957713548714026484797905038782846062205983115888403281796163492153355559608226111558683890339070938611963365588325234684685360688796530139963809457989803226219279141916201283878294604014325334286049961669897689137097974203567081725445979178473014874870684138392431053084899885791563785100760414971364307640856007846935840055917715769411937604112391066583746190881250097713454789785060257828860283437637933088029980288733000248671438466312344326246540528913892824082625152197754536094251422840697038675167553845728920866610238575163616993821287683090861752508712237888510969944373651622826450900445544390821683281651266660173933624557000948341047995060907443281962432864721918877628046711593461798303007729518264128329791462917258133336189143627176442082203788795796029468971405471680029317162054306600517269579319283229778392506157870391152876509675311177325456671076870064592012}
23408  89963577827307564886076975211109533285982235766849175975517921300822504547688: {327586,467980,561576,631773,864727,1729306,2261167,3127426,3234391,3406618,3650407,3685666,4204087,4391116,4618591,4894567,5078746,5264218,5583247,5796008,5912866,6375706,6407287,6520509,6626572,7742572,7774927,8047591,8315266,8456047,8727991,9135367,9144346,9971116,10166385,10527532,10798618,10844144,10866585,11073826,11162527,11591024,12173218,12199662,12504967,13039902,13707007,14182786,14231721,14372287,15065265,15697447,16002946,16069616,16093591,16093786,16275418,16752391,16910626,16942525,17146807,17409391,17454466,17738589,17802727,17907226,18078318,19369591,19759687,19894618,20110377,20262657,20311496,20331030,20345218,20408407,20961993,21245218,21355185,21686432,21700447,22644561,22778864,22850433,22861186,23241391,23449665,23940925,24397236,24899047,25007746,25012976,25152991,25543065,25626222,26339117,27245936,27322786,27425527,27635385,27676591,28087208,28139598,28210306,28302991,28518897,28677967,28729110,28863185,28917021,29274316,29477744,29561785,30419287,30644384,30651678,31120185,31598109,31777567,32003116,32184346,32269327,32975266,33162462,33194864,33768205,33859591,34191773,34224847,34425025,34474932,34635822,34780557,34815706,35074591,35268172,35316727,35474142,35602306,35834696,35993865,36041407,36154937,36282391,36896812,36927417,36939176,37344222,37385265,37627310,37841767,37867426,38080591,38080785,38393456,38609121,38648986,38909218,39507487,39605452,39877616,40314033,40405001,40452991,40521846,40619504,40686892,41310030,41405425,41556573,42106906,42306892,42346241,42452936,42795418,42846316,43029367,43145647,43192638,43377991,43446689,44064032,44535391,44683546,44862318,45152772,45197146,45341287,45696942,45723585,45914767,46076812,46478626,46969329,47056327,47397391,47501218,47624407,47759553,47964391,48070033,48241713,48303727,48771824,48845390,49200418,49317847,49412937,49430167,49572036,49686510,49990687,50047618,50148008,50214391,50301466,51341693,51575997,51649910,51965985,52334877,52656127,52673726,52998944,53206207,53574316,53689233,53753300,53840218,54008026,54107692,54868302,55171591,55348186,55430384,55496887,55713391,55766146,56180289,56238316,56416509,56517466,56767618,57113647,57350746,57575005,57648967,57721430,58597666,58614468,58714207,58824925,59244127,59425612,59623812,60254626,60274065,60494630,61092008,61185278,61241407,61544716,61554391,61779265,61979892,61987546,62073772,62074591,62282167,62303425,62359182,62385847,62525181,62810266,63315727,63848829,64292336,64363976,64503960,64575849,65665591,65890097,66373207,66474007,66493785,66675391,67377967,67469218,68033185,68377694,68443426,68564865,68718536,68728509,68804224,68925292,69090006,69246813,69254985,69265716,69742337,69956647,70061986,70349047,70446967,70488993,70546306,70589910,70926704,71422207,71810287,72303686,72328878,72409473,72477826,72558106,72566955,72570297,72593556,72775447,73063591,73135856,73351087,73393185,73520218,73525166,73871984,74135118,74573697,74719618,74764110,75118618,75128241,75233096,75248180,75295904,75715585,75721687,76154146,76190407,76377391,76564087,76582541,77122447,77308353,77345626,77404752,77635569,77811532,77955127,78047287,78286064,78448701,78904065,79147591,79166109,79638946,79687857,79748384,79792542,80056591,80327887,80646056,80688607,80819866,80968665,81291226,81639822,81959713,81997186,82232218,82277838,82563487,82740391,83005207,83105982,83419217,83719785,83971265,84164336,84574618,84637233,84707892,85119106,85585186,85789591,86366576,86420900,86670466,86747866,86814727,86885942,87033604,87080346,87129772,87238807,87288753,87407540,88071822,88332991,88831618,88968729,88985506,89062426,89216265,89301104,89716932,90297816,90597466,90726813,90728332,90858702,90903706,91068505,91380607,91461607,91623391,91743249,92187367,92507266,93239305,93333585,93384007,93463207,93621391,93800218,94128710,94407991,94642567,94684878,94710106,94798591,94805837,94823692,94937218,95032087,95164016,95728687,95844226,95982537,96572167,97162398,97482391,97633087,97682420,97708327,97858591,97883116,98131665,98158089,98232991,98551426,98828287,98850946,98942408,99198007,99345391,99492487,99555824,99631910,...,632498235770297597025437406493053848279756567492717088672974686052391419317121200051861770672396355290996176307185575409712300659133673097124464735562920807706549297394067032490169637020101987197081819317535874985869648135922749920182774606352267523257870751020746485695293626858280354400228046465518718102803149747969871201873458330964974701784177369064517825884961761268620323913223309995220911452572102778933617830898858128092130343755529190360982300221529158349155208774627962339228149579127751928318470833314373332087806175024998407186527214806735275734420999663211451621982968332716449846059215360049073623907951192170165365615702629016361659700385098328136812731615726744504959275635380545901328429789120761825342632456049205202902422756303877186743112156719020625111345801491542079323225364597828440490713493550393439840320167117831204518433073881201738008297208535243381012216256274588236217978593454101631043741865477299416743862604964852292630376834560644090617339598902777204467997498159401168349870167307950533840569141407142595163972950608437077617048851875435991670749344077990595683717397843542616591214954766026377266135696875623500170631706402206399438649466442062766657059261583775516396390700304793337946158071727830102016306972786781478825567909528433724260832497913164210480225863176839645035242111170478318560266826342618042609381125179457359408818929025591665035882621855610624318055614053896582912138502614531194126134381221702596323236254415878414914417051576785896945271203331002562402205643127231606097016071144072171883236319639954070978406984764986397801386111007969336431885933958182508631312619066098341243055811903603331958726008191031406050763247083859526328209201844891051707883128935315105795358961336878662006359858876241544275795748963925205519660070037391411657398382298578947198077048954033671288408138306547317646340070271492446391688785111533719194088707067712056335748955690008730044962380922791757880213200914434875454077575041519282799323669892199263511421663039768878174967885374893172558331390204080744097007168135427502186591868577031370209728427268834682627585431739957762323019574642029159165079534806103598519689918064661143826113319847497534648098110031072465924449625873984984210419698851826361889040827422324945020942313958311067836261720613547439000250659104005466071319734536475611993684501506187850050323550881443804264049504545533488363176275228922652276809362121264357514790654155277979160210599670834826523755780338465150046215499693927768481556165405334615749180761596870002549948744504084813463218935418240942714785442496365778168526391359402492615775541899073876705602744816557590351281538721297378053905002226623983002179350041823412570483021094296948997396639814051712435561797273723485930425417997029406226330564790778023684948648788599389648129562371034101899352829848585327261436570323071039727196857558174269093308974673832604922694245238230033339412339167338025835508606407917945048382487852027028041033194795209945714186984704839328918712874301925817441906021488001429074942504846533705646961305350622588168968767709522312306026207588646579627349828687345677651140622457046461461284011770403760083876573654117906406168586599875619286321875146570182184677590386743290425156456899632044970433099500373007157699468516489369810793370839236123937728296631804141377134261045558012751330768593381299915357862745425490731931524636292628763068356832766454916560477434239676350668316586232524922476899990260900436835501422511571992591361164922943649297082878316442070067390192697454511594277396192494687194375887200004283715440764663123305683193694044203457108207520043975743081459900775904368978924844667588759236805586729314764512966765988185006615305096888018}
23409  90283631006571046549269787140294346638994692419548395147114555736792789725360: {491379,584975,701970,748768,842364,2593959,4691139,5071507,5109927,5488895,5528499,6586674,7245010,7454711,7618119,7896327,8283215,8436931,8694012,8869299,9137279,9488626,9563559,9678215,9939858,10142146,10534007,11613858,12463895,12472899,13159415,13555180,13716519,13975858,14060914,14488780,14956674,15097666,15147011,15579119,15791298,16197927,16266216,16610739,16872418,17386536,17772559,18218387,18259827,18299493,18975628,19559853,19931506,20087020,21028439,21274179,21886354,22469434,23402999,23651452,23840194,24004419,24104424,24140679,24413127,24576307,25229459,25365939,25389370,25793026,25882967,26181699,26813836,26860839,27016876,27108040,27117477,27413507,27514546,27750071,27949324,28148447,28442927,28473580,29045506,29841927,30192748,30467244,30496545,30517827,31189327,31266220,31355359,31654739,31802879,31867827,32321779,32529648,33594274,34057420,34168296,34291779,34892914,34989811,35109010,35542066,35853599,36592895,36595854,36847180,37006138,37146319,37511619,37519464,38025196,38305480,38417119,38439333,38556028,39212687,39902231,39990647,40003895,40635634,40868904,40984179,41493580,42130812,42209397,42315459,42675346,42928999,43093665,43879507,43911474,44085215,44216616,44263258,44718959,44793370,44939567,45966576,45977517,46121015,46173970,46181096,46374076,47298856,47688959,47991820,48004674,48276519,48416947,48501586,49236556,49462899,49506815,49743693,49792296,49847020,50276567,50305138,50774380,50858615,51478828,51712398,51953733,52223559,52612927,52781938,52883615,52902258,53066170,53211213,53403459,53455507,53539666,53557895,53752044,54029128,54071986,55080040,55345218,55408764,56016333,56075879,56255794,56318479,56440965,56801139,57289619,57590184,57596015,57973479,58216327,58363827,58755034,59375266,59408178,59816424,60010639,60114071,60128719,60203696,60782769,60885011,60929256,60964780,61030338,61167418,61405891,61965045,62060866,62205778,62373298,62613346,62625772,62685010,63160359,63460338,63679404,63885754,63993874,64193127,64269474,64322284,64637986,64788957,65013586,65828959,65883916,66096048,66248680,66967895,67025319,67178527,67191625,67293477,67634615,67729158,67795719,67817567,68085439,68184191,68500306,68545413,68767996,68968159,69115218,69287980,69717939,69779836,70297895,70565299,71251827,71454647,71585644,71934019,72849719,73116727,73157736,73268085,73643794,73800627,74226514,74282015,74358054,74529765,74907052,75071427,75222012,75333647,75452199,75570754,76365010,76820314,76930895,77474865,77592215,77722067,78138466,78152624,78278338,78625951,78980627,79010589,79498416,79815751,80361474,80365420,80454970,80483447,80629950,80760327,81012039,81075971,81161538,82302453,82639856,83022279,83145576,83268514,83366908,83649219,84357474,84776199,84945071,85063399,85131772,85151427,85850626,85898170,86005280,86026119,86101132,86156615,86241058,86574607,86582145,87111346,87896499,87921702,88658380,88678159,89138418,89435718,90381939,90586546,90741945,90811379,90981011,91419820,91539187,91589554,91638012,91732799,91777917,92120008,92317074,92329084,92339980,92354288,92969838,92981319,93110658,93538773,93985324,94041370,94060225,94119880,94215399,96421618,96438504,96545964,96755940,96760396,96791408,97054999,97264415,97515731,97857580,98158579,98519938,98718739,98846824,99431596,99685480,...,948747353655446395538156109739580772419634851239075633009462029078587128975681800077792656008594532936494264460778363114568450988700509645686697103344381211559823946091100548735254455530152980795622728976303812478804472203884124880274161909528401284886806126531119728542940440287420531600342069698278077154204724621954806802810187496447462052676266053596776738827442641902930485869834964992831367178858154168400426746348287192138195515633293785541473450332293737523732813161941943508842224368691627892477706249971559998131709262537497610779790822210102913601631499494817177432974452499074674769088823040073610435861926788255248048423553943524542489550577647492205219097423590116757438913453070818851992644683681142738013948684073807804353634134455815780114668235078530937667018702237313118984838046896742660736070240325590159760480250676746806777649610821802607012445812802865071518324384411882354326967890181152446565612798215949125115793907447278438945565251840966135926009398354165806701996247239101752524805250961925800760853712110713892745959425912655616425573277813153987506124016116985893525576096765313924886822432149039565899203545313435250255947559603309599157974199663094149985588892375663274594586050457190006919237107591745153024460459180172218238351864292650586391248746869746315720338794765259467552863166755717477840400239513927063914071687769186039113228393538387497553823932783415936477083421080844874368207753921796791189201571832553894484854381623817622371625577365178845417906804996503843603308464690847409145524106716108257824854479459931106467610477147479596702079166511954004647828900937273762946968928599147511864583717855404997938089012286547109076144870625789289492313802767336577561824693402972658693038442005317993009539788314362316413693623445887808279490105056087117486097573447868420797115573431050506932612207459820976469510105407238669587533177667300578791133060601568084503623433535013095067443571384187636820319801371652313181116362562278924198985504838298895267132494559653317262451828062339758837497085306121116145510752203141253279887802865547055314592640903252023941378147609936643484529361963043738747619302209155397779534877096991715739169979771246301972147165046608698886674438810977476315629548277739542833561241133487417531413470937466601754392580920321158500375988656008199106979601804713417990526752259281775075485326322165706396074256818300232544764412843383978415214043181896536272185981232916968740315899506252239785633670507697725069323249540891652722334248108001923623771142395305003824923116756127220194828403127361414072178163744548667252789587039103738923663312848610815058404117224836385526922308081946067080857503339935974503269025062735118855724531641445423496094959721077568653342695910585228895638126995544109339495847186167035527422973182899084472194343556551152849029244772877990892154855484606559590795286337261403639963462010748907384041367857345050009118508751007038753262909611876917572573731778040542061549792192814918571280477057258993378069311452888726162859032232002143612413757269800558470441958025933882253453151564283468459039311382969869441024743031018516476710933685569692191926017655605640125814860481176859609252879899813428929482812719855273277016385580114935637734685349448067455649649250559510736549202774734054716190056258854185906592444947706212065701391568337019126996152890071949873036794118138236097897286954438943144602535249149682374840716151359514526002474879348787383715349985391350655253252133767357988887041747384415473945624317474663105101085289046181767391416094288742030791563830800006425573161146994684958524790541066305185662311280065963614622189851163856553468387267001383138855208380093972146769450148982277509922957645332027}
23410  90604815358730192331022578794662038589777398085475523017095521074528504789860: {257389,655172,935960,958129,1052955,1123152,1237921,1263546,1657069,1729454,1936141,2075569,2632561,3049549,3458612,4522334,5812909,6254852,6468782,6773281,6813236,7183789,7300814,7371332,8002861,8139121,8408174,8782232,8819341,8955169,9237182,9789134,9880011,10157492,10309489,10528436,10714381,10867515,11166494,11522221,11592016,11656609,11825732,12729121,12751412,12814574,13041018,13253144,13530481,13663789,14232939,14594929,14909787,14992909,15213219,15485144,15522541,15549854,15919009,16095182,16314829,16630532,16912094,16943975,17420787,17455982,17498401,18022561,18110975,18270734,18288692,18937069,19942232,20332770,20884849,20963787,21055064,21091371,21143329,21597236,21688288,21733170,21917041,22147652,22325054,22435011,22646499,22688161,22816429,23182048,23686947,23712289,23719535,24346436,24399324,24604621,25009934,25108775,25308627,25620109,25873261,26079804,26252449,27008881,27414014,28263841,28365572,28463442,28744574,28763809,29138029,29564315,29897259,30130530,30256801,31394894,31493041,32005892,32139232,32187182,32187572,32476849,32550836,32829531,32844589,33504782,33517295,33704151,33771095,33821252,33885050,34065709,34293614,34309069,34818782,34908932,34936655,35037421,35477178,35591975,35605454,35642401,35760291,35814452,36156636,36846961,37087009,37740935,38084055,38689539,38739182,39082775,39115789,39353101,39519374,39789236,39826861,40220754,40408459,40525314,40622992,40653169,40662060,40690436,40816814,41006221,41271819,41386499,41923986,42490436,42571775,42710370,42878221,43343341,43372864,43400894,43568259,44038861,44154529,44501101,45289122,45536929,45557728,45700866,45722372,46058975,46482782,46899330,47275487,47531495,47881850,47931181,48074147,48195035,48722209,48794472,49509709,49798094,50015492,50025952,50293681,50305982,50391411,50405389,51086130,51252444,51296461,51346087,51866975,52339371,52663515,52678234,52844749,53313099,53725331,54487969,54491872,54645572,54851054,54893781,55140721,55249261,55270770,55353182,55509207,55790881,56174416,56279196,56420612,56438449,56605982,56810039,57037794,57355934,57458220,57726370,57834042,57967595,58548632,58790689,58955488,59123570,59531821,59953741,59989775,60689329,60838574,60953451,61212589,61288768,61303356,61421389,61545695,61942129,62240370,62308775,62668141,63196218,63467975,63555134,64006232,64013019,64348535,64368692,64518829,64538654,64825009,65867211,65950532,66324924,66389728,66394887,67150861,67190055,67351309,67536410,67719182,67851169,68249761,68383546,68449694,68845489,68850050,68949864,69043489,69260955,69271644,69537229,69561114,69631412,70149182,70536344,70617121,70633454,70948284,71204612,71591281,71669392,71987730,72007011,72082814,72268909,72309874,72461869,72564782,72752379,72943009,73793624,73854834,73878352,74688444,74770530,75038641,75254620,75321709,75457707,75683534,75734852,76161182,76161570,76205975,76786912,76820461,77218242,77297972,77470369,77568597,77747821,77818436,77932429,78282215,79014974,79034029,79172907,79210904,79353387,79599255,79755232,80309499,80402855,80605007,80628066,80810002,80905982,81043692,81107979,81116449,81239008,81373784,81474721,81742669,82009969,82354895,82620060,82719601,82810850,83017827,83113146,83248801,83600161,83775409,84213812,84383691,84386509,84560461,84613784,84692482,84905872,84994081,85590836,85692632,85959995,86058734,86291294,86385276,86490971,86609975,86755982,86893378,87050401,87224795,87612107,87642349,87810829,88128064,88132551,89062899,89070782,89112267,89231281,89367092,89482055,89562481,89724636,90303469,90305544,90394292,90549169,90682574,91393884,91447170,91545507,91606381,91751127,91829534,92153624,92170609,92571469,92957252,93091299,93129649,93308667,93367789,93559947,93633815,93920019,93938658,94027515,94078321,94112654,94794782,95002436,95190507,95246459,95248814,95481889,95519106,95713549,95828631,95928782,95990811,96140066,96404211,96404641,96483426,96607454,96633709,96861479,96956979,97520379,97543648,97690780,98144269,98400836,98517409,98591821,98635694,98740429,98825874,98860334,99144072,99373020,99405601,99981374,...,1264996471540595194050874812986107696559513134985434177345949372104782838634242400103723541344792710581992352614371150819424601318267346194248929471125841615413098594788134064980339274040203974394163638635071749971739296271845499840365549212704535046515741502041492971390587253716560708800456092931037436205606299495939742403746916661929949403568354738129035651769923522537240647826446619990441822905144205557867235661797716256184260687511058380721964600443058316698310417549255924678456299158255503856636941666628746664175612350049996814373054429613470551468841999326422903243965936665432899692118430720098147247815902384340330731231405258032723319400770196656273625463231453489009918551270761091802656859578241523650685264912098410405804845512607754373486224313438041250222691602983084158646450729195656880981426987100786879680640334235662409036866147762403476016594417070486762024432512549176472435957186908203262087483730954598833487725209929704585260753669121288181234679197805554408935994996318802336699740334615901067681138282814285190327945901216874155234097703750871983341498688155981191367434795687085233182429909532052754532271393751247000341263412804412798877298932884125533314118523167551032792781400609586675892316143455660204032613945573562957651135819056867448521664995826328420960451726353679290070484222340956637120533652685236085218762250358914718817637858051183330071765243711221248636111228107793165824277005229062388252268762443405192646472508831756829828834103153571793890542406662005124804411286254463212194032142288144343766472639279908141956813969529972795602772222015938672863771867916365017262625238132196682486111623807206663917452016382062812101526494167719052656418403689782103415766257870630211590717922673757324012719717752483088551591497927850411039320140074782823314796764597157894396154097908067342576816276613094635292680140542984892783377570223067438388177414135424112671497911380017460089924761845583515760426401828869750908155150083038565598647339784398527022843326079537756349935770749786345116662780408161488194014336270855004373183737154062740419456854537669365255170863479915524646039149284058318330159069612207197039379836129322287652226639694995069296196220062144931848899251747969968420839397703652723778081654844649890041884627916622135672523441227094878000501318208010932142639469072951223987369003012375700100647101762887608528099009091066976726352550457845304553618724242528715029581308310555958320421199341669653047511560676930300092430999387855536963112330810669231498361523193740005099897489008169626926437870836481885429570884992731556337052782718804985231551083798147753411205489633115180702563077442594756107810004453247966004358700083646825140966042188593897994793279628103424871123594547446971860850835994058812452661129581556047369897297577198779296259124742068203798705659697170654522873140646142079454393715116348538186617949347665209845388490476460066678824678334676051671017212815835890096764975704054056082066389590419891428373969409678657837425748603851634883812042976002858149885009693067411293922610701245176337937535419044624612052415177293159254699657374691355302281244914092922922568023540807520167753147308235812812337173199751238572643750293140364369355180773486580850312913799264089940866199000746014315398937032978739621586741678472247875456593263608282754268522091116025502661537186762599830715725490850981463863049272585257526136713665532909833120954868479352701336633172465049844953799980521800873671002845023143985182722329845887298594165756632884140134780385394909023188554792384989374388751774400008567430881529326246611366387388088406914216415040087951486162919801551808737957849689335177518473611173458629529025933531976370013230610193776036}
23411  90927134855560284991727621184464687353795315138135158084254236994220421826042: {818965,982758,1169950,1403940,1497536,1684728,1895319,2594181,4323265,5187918,6783501,7455349,7684453,7818565,7968829,8516545,8810113,9138061,9214165,9382278,9703173,10143014,10212253,10219854,10951221,10977790,11047861,11056998,11596501,12449281,12612261,12696865,13160545,13173348,13549501,13855773,14490020,14683701,14691553,14782165,14909422,15236238,15660469,15792654,15939265,16566430,16653541,16749741,16873862,17196421,17388024,17449453,17738598,17901013,18274558,18423181,18731581,18977252,19127118,19221861,19356430,19561527,19879716,20265949,20284292,20788165,21068014,21530821,22821469,22860865,23227716,23324781,23502373,24142773,24196321,24927790,24945798,25368141,26156293,26183973,26318830,26395501,26569453,26996545,27110360,27406101,27415861,27433038,27684565,27925909,27951716,28121828,28941361,28977560,29103733,29663869,29913348,30195332,30294022,30433045,30499155,30588961,31158238,31460029,31582596,32395854,32397781,32532432,32599755,32727781,32891821,33221478,33487581,33530629,33744836,33996181,34773072,35396161,35456965,35545118,35937661,36436774,36519654,36598986,37514901,37951256,38108389,38326261,38416753,39119706,39863012,39994081,40007365,40174040,40234465,40565653,40688545,40782541,41121021,41125501,41254849,42056878,42276565,42548358,42654109,42695163,43116861,43636165,43772708,44200981,44695429,44768065,44938868,45195795,45732481,46805998,47092341,47131741,47302904,47680388,47997349,48008838,48208848,48280773,48281358,48762109,48826254,49152614,49736545,49980013,50257173,50280901,50458918,50731878,50778740,50786989,50827575,50863045,51230053,51440421,51586052,51765934,51962221,52228173,52363398,53113045,53215767,53408181,53627672,53721678,53821669,54033752,54216080,54234954,54827014,55029092,55500142,55898648,56005453,56296894,56389309,56885854,56947160,57152965,57862981,58067701,58091012,58108773,58360453,59279061,59377021,59417761,59683854,59943181,60119233,60331131,60385496,60787971,60934488,60993090,61035654,61225221,61394509,61719301,62378654,62519365,62532440,62710718,62885979,63309478,63605758,63735654,64065555,64259869,64569421,64643558,65059296,65101341,65425261,65941453,67188548,67933683,68114840,68306965,68336592,68444629,68551299,68583558,69309541,69534373,69724173,69727921,69785828,69979622,70218020,70348995,70525765,71084132,71125741,71202061,71526661,71707198,71822775,71955013,71963221,72886549,73185790,73191708,73263901,73362253,73694360,74012276,74037061,74292638,74697141,74981053,75023238,75038928,75319201,75340141,75439549,75458973,76050392,76122481,76252513,76610960,76629195,76834238,76878666,77112056,77686753,77728741,78425374,79017351,79488541,79804462,79911421,79981294,80007790,80460865,80634421,81082933,81271268,81737808,81968358,82276581,82438165,82706341,82906155,82987160,83029773,83824309,84196429,84261624,84418794,84446401,84630918,84908973,85350692,85494541,85556691,85857998,86033901,86187330,86589555,86751063,87039265,87759014,87822948,87993301,88170430,88330549,88433232,88526516,88685355,89005765,89088733,89401453,89437918,89586740,89879134,90988909,91257861,91933152,91955034,92242030,92347940,92362192,92748152,93340741,93360555,93755053,94068275,94479781,94597712,94668565,94688461,94794327,95116801,95332701,95377918,95551453,95974549,95983640,96009348,96356929,96553038,96622465,96807981,96833894,96970621,97003172,97273045,97469173,98417053,98464069,98473112,98751181,98925798,99013630,99487386,99584592,99694040,...,1897494707310892791076312219479161544839269702478151266018924058157174257951363600155585312017189065872988528921556726229136901977401019291373394206688762423119647892182201097470508911060305961591245457952607624957608944407768249760548323819056802569773612253062239457085880880574841063200684139396556154308409449243909613605620374992894924105352532107193553477654885283805860971739669929985662734357716308336800853492696574384276391031266587571082946900664587475047465626323883887017684448737383255784955412499943119996263418525074995221559581644420205827203262998989634354865948904998149349538177646080147220871723853576510496096847107887049084979101155294984410438194847180233514877826906141637703985289367362285476027897368147615608707268268911631560229336470157061875334037404474626237969676093793485321472140480651180319520960501353493613555299221643605214024891625605730143036648768823764708653935780362304893131225596431898250231587814894556877891130503681932271852018796708331613403992494478203505049610501923851601521707424221427785491918851825311232851146555626307975012248032233971787051152193530627849773644864298079131798407090626870500511895119206619198315948399326188299971177784751326549189172100914380013838474215183490306048920918360344436476703728585301172782497493739492631440677589530518935105726333511434955680800479027854127828143375538372078226456787076774995107647865566831872954166842161689748736415507843593582378403143665107788969708763247635244743251154730357690835813609993007687206616929381694818291048213432216515649708958919862212935220954294959193404158333023908009295657801874547525893937857198295023729167435710809995876178024573094218152289741251578578984627605534673155123649386805945317386076884010635986019079576628724632827387246891775616558980210112174234972195146895736841594231146862101013865224414919641952939020210814477339175066355334601157582266121203136169007246867070026190134887142768375273640639602743304626362232725124557848397971009676597790534264989119306634524903656124679517674994170612242232291021504406282506559775605731094110629185281806504047882756295219873286969058723926087477495238604418310795559069754193983431478339959542492603944294330093217397773348877621954952631259096555479085667122482266974835062826941874933203508785161840642317000751977312016398213959203609426835981053504518563550150970652644331412792148513636600465089528825686767956830428086363793072544371962465833937480631799012504479571267341015395450138646499081783305444668496216003847247542284790610007649846233512254440389656806254722828144356327489097334505579174078207477847326625697221630116808234449672771053844616163892134161715006679871949006538050125470237711449063282890846992189919442155137306685391821170457791276253991088218678991694372334071054845946365798168944388687113102305698058489545755981784309710969213119181590572674522807279926924021497814768082735714690100018237017502014077506525819223753835145147463556081084123099584385629837142560954114517986756138622905777452325718064464004287224827514539601116940883916051867764506906303128566936918078622765939738882049486062037032953421867371139384383852035311211280251629720962353719218505759799626857858965625439710546554032771160229871275469370698896134911299298501119021473098405549468109432380112517708371813184889895412424131402783136674038253992305780143899746073588236276472195794573908877886289205070498299364749681432302719029052004949758697574767430699970782701310506504267534715977774083494768830947891248634949326210202170578092363534782832188577484061583127661600012851146322293989369917049581082132610371324622560131927229244379702327713106936774534002766277710416760187944293538900297964555019845915290664054}
23412  91250593482690974612781408488716456235750050633819363063388896229742977178933: {304187,514778,958211,1004867,1310344,1474137,1703747,1754925,1843307,1871920,1916258,2105910,2246304,2354411,2475842,2527092,3314138,3458908,3872282,4151138,4895411,5171147,5265122,5538347,6099098,6225467,6499811,6917224,7229987,7639811,7781877,8048987,8139827,8276027,8593547,8820107,9044668,9227411,9408227,9634067,10085147,10310387,11254211,11625818,12373211,12509704,12937564,13546562,13626472,13709411,14073417,14367578,14601628,14640467,14742664,15038411,15214521,15303347,15329781,15700211,16005722,16278242,16466685,16585497,16623707,16816348,16843067,17237411,17412467,17499947,17564464,17638682,17910338,18112525,18474364,18938747,19459787,19578268,19760022,19849811,20314984,20498411,20618978,20886707,21056872,21428762,21735030,21790211,22332988,22364133,22854357,22861211,23044442,23074811,23184032,23313218,23651464,23688981,23721565,23756987,23884667,24734027,24849645,25157507,25310793,25355365,25458242,25502824,25629148,25664627,26082036,26506288,26607897,27060962,27137147,27327578,27411837,27890627,28308107,28391507,28465878,28516547,28690677,28766411,28808027,29034645,29140667,29182211,29189858,29819574,29985818,30011411,30259547,30424811,30426438,30796187,30970288,31002227,31045082,31099708,31602021,31838018,31865411,32190364,32520707,32629658,33207349,33261064,33499811,33824188,33865787,33887950,33947027,34312211,34841574,34911964,34939645,34996802,35081027,35152285,35161787,36045122,36221950,36541468,36577384,36890387,37391685,37418697,37744165,37874138,38921411,39119411,39356747,39478245,39884464,40656947,40665540,41127587,41149557,41390041,41479811,41769698,41927574,42110128,42181045,42182742,42286658,42415907,42688067,43037411,43194472,43376576,43386107,43466340,43834082,44295304,44543747,44650108,44735987,44870022,45292998,45311507,45376322,45441033,45579467,45632858,46364096,46737357,46924213,47065211,47279533,47373894,47424578,47439070,47482067,47973467,48048947,48593781,48692872,48764411,48798648,48911317,49209242,49514411,49828765,49832217,50019868,50074811,50217550,50223947,50298467,50410187,50617254,50633411,51240218,51746522,51782147,52159608,52504898,52837309,52996547,53317677,53729929,54017762,54655161,54715885,54779481,54828028,54898479,55182227,55254587,55796267,56173585,56264267,56479811,56527682,56731144,56802587,56814901,56926884,57489148,57527618,57731411,58051667,58276058,58679559,58796411,59114507,59128630,59537627,59600485,59794518,60261060,60513602,60695267,60730211,61253411,61566467,61635947,62605307,62777747,62789788,62986082,63085317,63473425,63493573,63822537,64011784,64047587,64278464,64354811,64374364,64375144,64482565,64953698,65101672,65170907,65543411,65659062,65689178,66352787,66544093,66755747,67009564,67034590,67139137,67391411,67408302,67473049,67542190,67642504,67770100,67857947,67891211,68131418,68587228,68587907,68618138,68786365,68852387,69083387,69637564,69675587,69817864,69873310,70074842,70208997,70656827,70852211,70954356,71183950,71209667,71210908,71284802,71520582,71628904,72013257,72276227,72313272,72422037,72501347,72613765,73239381,73693922,73728921,74174018,74573027,75360827,75481870,75688377,75799811,76097817,76168110,76268411,76455347,76548707,76766267,77379078,77478347,77478364,77648901,77971211,78165550,78231578,78545097,78706202,78859307,79038748,79072667,79346411,79578472,79653722,79770947,79982627,80441508,80582517,80705411,80816918,81050628,81124907,81154633,81154811,81245984,81306338,81324120,81352431,81380872,81633628,81751211,81780947,82012442,82240521,82543638,82757747,82772998,83250213,83847972,83985685,84445341,84980872,85003067,85143550,85291187,85328781,85420740,85756442,86163973,86686682,86745728,86801788,87087947,87136518,87232285,87426587,87772525,88077722,88240211,88309058,88407707,88658411,88855165,89002202,89525781,90087949,90313211,90558947,90578244,90831227,90967067,91073858,91115456,91129811,91400411,91401732,91444744,91489635,91553481,91643267,91697147,92046587,92117950,92207411,92515345,92847827,92965564,93377987,93404411,93567981,93798660,94066077,94428707,94550974,94559147,94964217,95062990,95104811,95408637,95603481,95724107,95749811,95763700,95862362,96148294,96287747,96390070,96644411,96965337,97252187,97444418,97588944,97654811,97780211,98304707,98528411,98553227,98776211,98899811,99019418,99416747,99596188,...,2846242060966339186614468329218742317258904553717226899028386087235761386927045400233377968025783598809482793382335089343705352966101528937060091310033143634679471838273301646205763366590458942386868186928911437436413416611652374640822485728585203854660418379593359185628821320862261594801026209094834231462614173865864420408430562489342386158028798160790330216482327925708791457609504894978494101536574462505201280239044861576414586546899881356624420350996881212571198439485825830526526673106074883677433118749914679994395127787612492832339372466630308740804894498484451532298923357497224024307266469120220831307585780364765744145270661830573627468651732942476615657292270770350272316740359212456555977934051043428214041846052221423413060902403367447340344004705235592813001056106711939356954514140690227982208210720976770479281440752030240420332948832465407821037337438408595214554973153235647062980903670543457339696838394647847375347381722341835316836695755522898407778028195062497420105988741717305257574415752885777402282561136332141678237878277737966849276719833439461962518372048350957680576728290295941774660467296447118697697610635940305750767842678809928797473922598989282449956766677126989823783758151371570020757711322775235459073381377540516654715055592877951759173746240609238947161016384295778402658589500267152433521200718541781191742215063307558117339685180615162492661471798350247809431250263242534623104623261765390373567604715497661683454563144871452867114876732095536536253720414989511530809925394072542227436572320148324773474563438379793319402831431442438790106237499535862013943486702811821288840906785797442535593751153566214993814267036859641327228434611877367868476941408302009732685474080208917976079115326015953979028619364943086949241080870337663424838470315168261352458292720343605262391346720293151520797836622379462929408530316221716008762599533001901736373399181804704253510870300605039285202330714152562910460959404114956939543349087686836772596956514514896685801397483678959951787355484187019276512491255918363348436532256609423759839663408596641165943777922709756071824134442829809930453588085889131216242857906627466193338604631290975147217509939313738905916441495139826096660023316432932428946888644833218628500683723400462252594240412812399805263177742760963475501127965968024597320938805414140253971580256777845325226455978966497119188222770454900697634293238530151935245642129545689608816557943698750906220947698518756719356901011523093175207969748622674958167002744324005770871313427185915011474769350268381660584485209382084242216534491233646001758368761117311216770989938545832445175212351674509156580766924245838201242572510019807923509807075188205356567173594924336270488284879163232705960028087731755686686914380986632328018487541558501106582268919548697253416583030669653458547087734318633972676464566453819678772385859011784210919890386032246722152124103572035150027355526253021116259788728835630752717721195334121626184649376578444755713841431171776980134207934358666178488577096696006430837241271809401675411325874077801646760359454692850405377117934148909608323074229093055549430132801056709076575778052966816920377444581443530578827758639699440286788448438159565819831049156740344806913204056048344202366948947751678532209647608324202164148570168776562557719777334843118636197104174705011057380988458670215849619110382354414708293691860863316829433807605747449047124522148454078543578007424638046362151146049956174051965759756401302073966661125242153246421836872952423989315303255867138545302174248282866226092374691492400019276719483440984054875574371623198915556986933840197890843866569553491569660405161801004149416565625140281916440308350446946832529768872935996081}
23413  91575195239654288706094239157338465421601981060685407815296221265417544530794: {772167,1146551,1637930,1965516,2339900,2807880,2874387,2995072,3158865,3369456,3713763,3790638,4323635,4971207,5188362,5808423,6052571,6226707,7897683,7969511,8646530,8810867,9148647,9417707,10213127,10375836,10945991,11305835,11923163,12899831,13056563,13567002,14910698,15368906,15637130,15937658,16171955,16419971,17033090,17438727,17620226,17775611,18252035,18276122,18424763,18428330,18507827,18764556,19406346,20286028,20319843,20323043,20424506,20439708,20695031,21020435,21551367,21902442,21955580,22095722,22113996,22137323,22314971,23092955,23193002,23950667,24008583,24417363,24472835,24898562,25224522,25393730,26321090,26346696,26458023,26865507,26970827,27042947,27099002,27711546,27916235,27928307,28980040,29103431,29367402,29383106,29564330,29640033,29695271,29818844,30472476,30928467,31110887,31194683,31320938,31585308,31878530,31951091,32005211,32036435,32143143,32346227,32400563,32602545,33003347,33132860,33307082,33499482,33747724,34392842,34566663,34776048,34898906,34969827,35477196,35802026,36549116,36761447,36846362,37122803,37463162,37795163,37954504,38187363,38254236,38443722,38619911,38712860,38758391,38874635,39123054,39627107,39759432,40237955,40531898,40568584,40591443,40786043,40991367,41576330,42136028,42280235,42356087,42606263,42698817,42936371,43061642,43131623,43639955,43784787,44100011,44699267,44729361,44978727,45037187,45580487,45639657,45642938,45676835,45721730,46455432,46567623,46649562,47004746,47757027,48285546,48392642,48944487,49272707,49349387,49639751,49855580,49891596,50237771,50736282,50791367,50831925,51307511,51966683,52237523,52262361,52312586,52367946,52495203,52637660,52791002,53138906,53993090,54067683,54220720,54332925,54812202,54831722,54866076,55369130,55812635,55851818,55903432,56010311,56243656,56328251,56811207,56963963,57627947,57882722,57955120,58207466,58300811,58372787,59140007,59187191,59327738,59422883,59826696,60020987,60390664,60588044,60866090,60998310,61090631,61177922,62316476,62524835,62654547,62675291,62891361,62920058,63165192,63274113,63429987,63607427,64265387,64791708,64795562,65064864,65199510,65455562,65751123,65783642,66442956,66975162,67061258,67305033,67489672,67939497,67992362,68064483,68097131,68383523,68449287,68535035,68953511,69546144,69631163,70172843,70792322,70913930,71060841,71090236,71136867,71158605,71208263,71532803,71861435,71875322,72557147,72873548,73039308,73129283,73197972,73699271,73813863,74329847,74333447,74358263,75029802,75326325,75446027,75902512,75925881,76129043,76216778,76652522,76833506,76860327,77320763,77619783,78239412,78475451,78487235,78757347,79119527,79726024,79918283,79988162,80014151,80014730,80348080,80467955,80468930,80889107,81026643,81131306,81377090,81511307,81565082,82242042,82251002,82509698,82713443,83548331,83761955,83831507,84001511,84113756,84203687,84553130,84712625,84791523,85047443,85078067,85096716,85308218,85390326,85734035,86233722,86291427,86665811,86826371,87046955,87078023,87272330,87414087,87527111,87545416,87848843,88401962,88500467,88692945,89013635,89390858,89536130,89691777,89877736,90189131,90391590,90770403,91464962,92121971,93611996,93941003,94184682,94263482,94422311,94479123,94487987,94605808,95360776,95629751,95994698,96017676,96417696,96561546,96562716,96619067,96847955,97430547,97524218,97652508,98264987,98305228,98488593,98533767,98736071,98798435,99473090,99919271,99960026,...,3794989414621785582152624438958323089678539404956302532037848116314348515902727200311170624034378131745977057843113452458273803954802038582746788413377524846239295784364402194941017822120611923182490915905215249915217888815536499521096647638113605139547224506124478914171761761149682126401368278793112308616818898487819227211240749985789848210705064214387106955309770567611721943479339859971325468715432616673601706985393148768552782062533175142165893801329174950094931252647767774035368897474766511569910824999886239992526837050149990443119163288840411654406525997979268709731897809996298699076355292160294441743447707153020992193694215774098169958202310589968820876389694360467029755653812283275407970578734724570952055794736295231217414536537823263120458672940314123750668074808949252475939352187586970642944280961302360639041921002706987227110598443287210428049783251211460286073297537647529417307871560724609786262451192863796500463175629789113755782261007363864543704037593416663226807984988956407010099221003847703203043414848442855570983837703650622465702293111252615950024496064467943574102304387061255699547289728596158263596814181253741001023790238413238396631896798652376599942355569502653098378344201828760027676948430366980612097841836720688872953407457170602345564994987478985262881355179061037870211452667022869911361600958055708255656286751076744156452913574153549990215295731133663745908333684323379497472831015687187164756806287330215577939417526495270489486502309460715381671627219986015374413233858763389636582096426864433031299417917839724425870441908589918386808316666047816018591315603749095051787875714396590047458334871421619991752356049146188436304579482503157157969255211069346310247298773611890634772153768021271972038159153257449265654774493783551233117960420224348469944390293791473683188462293724202027730448829839283905878040421628954678350132710669202315164532242406272338014493734140052380269774285536750547281279205486609252724465450249115696795942019353195581068529978238613269049807312249359035349988341224484464582043008812565013119551211462188221258370563613008095765512590439746573938117447852174954990477208836621591118139508387966862956679919084985207888588660186434795546697755243909905262518193110958171334244964533949670125653883749866407017570323681284634001503954624032796427918407218853671962107009037127100301941305288662825584297027273200930179057651373535913660856172727586145088743924931667874961263598025008959142534682030790900277292998163566610889336992432007694495084569581220015299692467024508880779313612509445656288712654978194669011158348156414955694653251394443260233616468899345542107689232327784268323430013359743898013076100250940475422898126565781693984379838884310274613370783642340915582552507982176437357983388744668142109691892731596337888777374226204611396116979091511963568619421938426238363181145349045614559853848042995629536165471429380200036474035004028155013051638447507670290294927112162168246199168771259674285121908229035973512277245811554904651436128928008574449655029079202233881767832103735529013812606257133873836157245531879477764098972124074065906843734742278768767704070622422560503259441924707438437011519599253715717931250879421093108065542320459742550938741397792269822598597002238042946196811098936218864760225035416743626369779790824848262805566273348076507984611560287799492147176472552944391589147817755772578410140996598729499362864605438058104009899517395149534861399941565402621013008535069431955548166989537661895782497269898652420404341156184727069565664377154968123166255323200025702292644587978739834099162164265220742649245120263854458488759404655426213873549068005532555420833520375888587077800595929110039691830581328108}
23414  91900944139932807603631031323104112985465452674971481886533914327208611098190: {608374,1004953,1029556,1916422,2009734,2401033,2456895,2620688,2924875,2948274,3407494,3509850,3686614,3743840,3789913,3832516,4211820,4492608,4708822,4895833,4951684,5054184,5584693,5685957,6271753,6546073,6628276,6917816,7744564,7782543,8302276,8594293,9137749,9680053,9790822,10342294,10530244,11076694,12198196,12450934,12969795,12999622,13834448,13843849,14376073,14459974,15279622,15304693,15563754,16097974,16279654,16552054,17187094,17640214,18089336,18454822,18816454,19268134,19894873,20170294,20350503,20620774,21706249,22366047,22508422,23053359,23119573,23251636,23455695,23906487,24746422,25019408,25032793,25357535,25549635,25875128,26430339,27093124,27252944,27414183,27418822,27444475,27642495,28146834,28560793,28735156,28810633,29109519,29184853,29203256,29280934,29485328,30076822,30429042,30606694,30636759,30659562,31293193,31400422,31909333,32011444,32278153,32556484,32853663,32933370,33143583,33170994,33210191,33247414,33632696,33686134,33746953,34474822,34789503,34824934,34841749,34999894,35128928,35277364,35447449,35497511,35820676,36051349,36171913,36225050,36948728,37273555,37347843,37732693,37836783,37877494,37971733,38090595,38919574,38925013,39156536,39481635,39520044,39699622,40629968,40648503,40996822,41237956,41416075,41522773,41567319,41773414,42113744,42184655,42857524,43157749,43470060,43580422,44051103,44074659,44346495,44665976,44728266,45354073,45468949,45686395,45708714,45722422,46088884,46149622,46368064,46626436,46727833,46981407,47069653,47302928,47377962,47443130,47513974,47637913,47769334,47817795,48391075,48430453,48915503,49213199,49444249,49468054,49699290,49960623,50116873,50249223,50315014,50621586,50710730,50916484,51005648,51258296,51329254,51589263,51676249,52164072,52348359,52670035,52841831,53012576,53215794,53331349,53703039,54121924,54274294,54655156,54823674,55269543,55404553,55621273,55781254,56053849,56194743,56616214,56783014,56931756,57033094,57381354,57532822,57616054,57665583,57772633,58069290,58281334,58364422,58379716,58625113,58684581,59053463,59639148,59971636,60022822,60519094,60736153,60797847,60849622,60852876,61592374,61940576,62004454,62090164,62199416,62300533,62319475,62364495,62404249,63204042,63499007,63676036,63730822,64361173,64380728,64592463,65035927,65041414,65259316,65583733,65797075,65887753,66393013,66414698,66493849,66522128,66594613,66999622,67097353,67144883,67648376,67731574,67775900,67894054,67897993,68464407,68582595,68624422,69683148,69760271,69823928,69879290,69974343,69993604,70162054,70304570,70323574,70468249,70507119,70859353,71541013,71928949,72090244,72428319,72443900,72588963,72893749,73082936,73154768,73373449,73469173,73780774,74290051,74783370,74837394,75037859,75488330,75735055,75748276,76104423,76213849,76587673,76602239,76774153,77146249,77842822,77895595,78071449,78238822,78468879,78551919,78643019,78713494,78956490,79186503,79708359,79768928,80352949,80713813,80989635,81163273,81313894,81331080,81789493,82218303,82247583,82255174,82299114,82589449,82780082,82959622,83053695,83119513,83440679,83539396,83777727,83855148,84220256,84259093,84362090,84365484,84573316,84831814,85376134,86074822,86388944,86753152,86772214,86824083,86842453,86932680,87311199,87351349,87668164,88277593,88590608,88862795,88991607,89087494,89300216,89471974,89740044,89774473,90186133,90275591,90585996,90623014,90752644,90882066,91091935,91158934,91166773,91265716,91299135,91491349,91497465,91766883,91895449,92728192,93414613,93474714,93493849,93573013,93848426,94130422,94380087,94559066,94673749,94747788,94849156,94878140,94964134,95141173,95760373,95946934,96097894,96300911,97187562,97193343,97385744,97528822,97597296,97740949,97799265,97816153,97822634,98183343,98418484,98564233,98675463,99028822,99305113,99657530,99664434,...,5692484121932678373228936658437484634517809107434453798056772174471522773854090800466755936051567197618965586764670178687410705932203057874120182620066287269358943676546603292411526733180917884773736373857822874872826833223304749281644971457170407709320836759186718371257642641724523189602052418189668462925228347731728840816861124978684772316057596321580660432964655851417582915219009789956988203073148925010402560478089723152829173093799762713248840701993762425142396878971651661053053346212149767354866237499829359988790255575224985664678744933260617481609788996968903064597846714994448048614532938240441662615171560729531488290541323661147254937303465884953231314584541540700544633480718424913111955868102086856428083692104442846826121804806734894680688009410471185626002112213423878713909028281380455964416421441953540958562881504060480840665897664930815642074674876817190429109946306471294125961807341086914679393676789295694750694763444683670633673391511045796815556056390124994840211977483434610515148831505771554804565122272664283356475756555475933698553439666878923925036744096701915361153456580591883549320934592894237395395221271880611501535685357619857594947845197978564899913533354253979647567516302743140041515422645550470918146762755081033309430111185755903518347492481218477894322032768591556805317179000534304867042401437083562383484430126615116234679370361230324985322943596700495618862500526485069246209246523530780747135209430995323366909126289742905734229753464191073072507440829979023061619850788145084454873144640296649546949126876759586638805662862884877580212474999071724027886973405623642577681813571594885071187502307132429987628534073719282654456869223754735736953882816604019465370948160417835952158230652031907958057238729886173898482161740675326849676940630336522704916585440687210524782693440586303041595673244758925858817060632443432017525199066003803472746798363609408507021740601210078570404661428305125820921918808229913879086698175373673545193913029029793371602794967357919903574710968374038553024982511836726696873064513218847519679326817193282331887555845419512143648268885659619860907176171778262432485715813254932386677209262581950294435019878627477811832882990279652193320046632865864857893777289666437257001367446800924505188480825624799610526355485521926951002255931936049194641877610828280507943160513555690650452911957932994238376445540909801395268586477060303870491284259091379217633115887397501812441895397037513438713802023046186350415939497245349916334005488648011541742626854371830022949538700536763321168970418764168484433068982467292003516737522234622433541979877091664890350424703349018313161533848491676402485145020039615847019614150376410713134347189848672540976569758326465411920056175463511373373828761973264656036975083117002213164537839097394506833166061339306917094175468637267945352929132907639357544771718023568421839780772064493444304248207144070300054711052506042232519577457671261505435442390668243252369298753156889511427682862343553960268415868717332356977154193392012861674482543618803350822651748155603293520718909385700810754235868297819216646148458186111098860265602113418153151556105933633840754889162887061157655517279398880573576896876319131639662098313480689613826408112096688404733897895503357064419295216648404328297140337553125115439554669686237272394208349410022114761976917340431699238220764708829416587383721726633658867615211494898094249044296908157087156014849276092724302292099912348103931519512802604147933322250484306492843673745904847978630606511734277090604348496565732452184749382984800038553438966881968109751148743246397831113973867680395781687733139106983139320810323602008298833131250280563832880616700893893665059537745871992162}
23415  92227844211008005692242510213956874861492485427048499344652169491047165770441: {912561,1286945,1544334,2293102,2874633,3014601,3275860,3931032,4422411,4679800,4790645,5111241,5264775,5529921,5615760,5748774,5990144,6053089,6189605,6317730,6738912,7063233,7427526,7581276,8285345,8647270,9418513,9680705,9942414,10376724,10377845,11520917,11616846,12075569,12105142,12362201,12453414,13162805,14686233,15247745,15513441,15795366,15828169,15939022,16279829,16615041,17293060,17621734,18223073,18297294,18676401,18835414,19499433,19643237,20426254,20751672,21292073,21689961,21891982,22611670,22640737,22919433,23345631,23409017,23846326,24146961,24419481,24828081,25552849,25780641,25799662,26113126,26460321,27134004,27420569,27682233,28155689,28224681,28450241,28902201,28950713,29064545,29428609,29821396,30255441,30737812,30931161,31274260,31662881,31811057,31875316,32330137,32343910,32839942,33006181,33762633,33866405,34066180,34261969,34877454,35240452,35551222,35862821,35918945,36504070,36552244,36849526,36856660,37015654,37119633,37529112,38083193,38812692,39082729,39222773,39912497,40000949,40014305,40572056,40639686,40646086,40695605,40849012,40879416,41128233,41390062,42040870,42220251,42366329,43102734,43804884,43911160,43921401,44096705,44191444,44227992,44274646,44629942,44775845,44851009,44951129,45115233,45584401,45641713,45643563,45910041,45989343,46185910,46386004,47100633,47901334,48017166,48834726,48945670,49400055,49756491,49797124,49871121,50449044,50529201,50676533,50787460,51516089,51547445,51712233,52237401,52499841,52642180,52693392,52752793,52916046,53571905,53731014,53941654,54085894,54104993,54198004,54337575,54424489,55423092,55832470,55856614,56148097,56333137,56816241,57611105,57787969,57960080,58206862,58231381,58283045,58379361,58734804,58766212,59128660,59192329,59280066,59390542,59549433,59637688,60026161,60129557,60502121,60944952,61095937,61144753,61495233,61856934,62221774,62389366,62641876,62660121,63170616,63645605,63757060,63902182,63947569,64010422,64072870,64286286,64692454,64801126,65205090,65370633,66006694,66265720,66614164,66998964,67092399,67495448,67652405,68318945,68563071,68583633,68785684,68986021,69133326,69224433,69552096,69797812,69939654,70954392,71066943,71164695,71270961,71604052,71654001,72234737,72974645,73098232,73522894,73692724,74202081,74245606,74548935,74926324,74964545,75472521,75590326,75909008,75932379,76066095,76374726,76508472,76887444,76993881,77239822,77425720,77516782,77612705,77700149,77742089,77749270,78137689,78246108,79126321,79254214,79259273,79518864,79595045,79823691,80475910,80504369,81063796,81096857,81137168,81182886,81411441,81490513,81572086,81574145,81982734,82235511,83152660,83671881,84272056,84560470,84712174,84719875,84924321,85085401,85174521,85212526,85397634,85549641,85872742,86072031,86123284,86263246,86299233,86424081,86673253,87103935,87279910,87422001,87492005,87534769,87546633,87569574,87644033,87707857,88008569,88200022,89398534,89458722,89957454,90034233,90074374,90112805,90554875,90778641,91160974,91274433,91279314,91285876,91353670,91443460,92388561,92910864,93006681,93135246,93299124,93843877,94009492,94095017,94685345,94806063,95514054,95596233,95949049,96571092,96785284,96987473,97376057,97562121,97888974,98184001,98545414,98698774,99274513,99279502,99622047,99711160,99783192,...,8538726182899017559843404987656226951776713661151680697085158261707284160781136200700133904077350796428448380147005268031116058898304586811180273930099430904038415514819904938617290099771376827160604560786734312309240249834957123922467457185755611563981255138780077556886463962586784784403078627284502694387842521597593261225291687468027158474086394482370990649446983777126374372828514684935482304609723387515603840717134584729243759640699644069873261052990643637713595318457477491579580019318224651032299356249744039983185383362837478497018117399890926222414683495453354596896770072491672072921799407360662493922757341094297232435811985491720882405955198827429846971876812311050816950221077637369667933802153130284642125538156664270239182707210102342021032014115706778439003168320135818070863542422070683946624632162930311437844322256090721260998846497396223463112012315225785643664919459706941188942711011630372019090515183943542126042145167025505950510087266568695223334084585187492260317966225151915772723247258657332206847683408996425034713634833213900547830159500318385887555116145052873041730184870887825323981401889341356093092831907820917252303528036429786392421767796967847349870300031380969471351274454114710062273133968325706377220144132621549964145166778633855277521238721827716841483049152887335207975768500801457300563602155625343575226645189922674352019055541845487477984415395050743428293750789727603869313869785296171120702814146492985050363689434614358601344630196286609608761161244968534592429776182217626682309716960444974320423690315139379958208494294327316370318712498607586041830460108435463866522720357392327606781253460698644981442801110578923981685303835632103605430824224906029198056422240626753928237345978047861937085858094829260847723242611012990274515410945504784057374878161030815787174040160879454562393509867138388788225590948665148026287798599005705209120197545414112760532610901815117855606992142457688731382878212344870818630047263060510317790869543544690057404192451036879855362066452561057829537473767755090045309596769828271279518990225789923497831333768129268215472403328489429791360764257667393648728573719882398580015813893872925441652529817941216717749324485419478289980069949298797286840665934499655885502051170201386757782721238437199415789533228282890426503383897904073791962816416242420761914740770333535975679367936899491357564668311364702092902879715590455805736926388637068826449673831096252718662843095556270158070703034569279525623909245868024874501008232972017312613940281557745034424308050805144981753455628146252726649603473700938005275106283351933650312969815637497335525637055023527469742300772737514603727717530059423770529421225564616069701520784773008811464854637489698117880084263195267060060743142959896984055462624675503319746806758646091760249749092008960375641263202955901918029393699361459036317157577035352632759671158096740166456372310716105450082066578759063348779366186506892258153163586002364878553948129735334267141524293515330940402623803075998535465731290088019292511723815428205026233977622233404940281078364078551216131353802446728824969222687279166648290398403170127229727334158900450761132333744330591736483275919098320860365345314478697459493147470221034420739612168145032607100846843255035596628942824972606492445710506329687673159332004529355908591312524115033172142965376010647548857331147063244124881075582589950488301422817242347141373566445362235630734022273914139086453438149868522155897279269203906221899983375726459739265510618857271967945909767601415635906522744848598678277124074477200057830158450322952164626723114869596746670960801520593672531599708660474708981215485403012448249696875420845749320925051340840497589306618807988243}
23416  92555899494408759060966396102606861769637661300857425000161287247033135040352: {397783,1098343,1216748,1378063,1936639,2009906,2059112,2076103,2316501,3189223,3439653,3832844,4019468,4094825,4802066,4913790,5241376,5263903,5849750,5896548,5951863,6814988,7019700,7322383,7373228,7487680,7579826,7665032,8141239,8277463,8423640,8623161,8957503,8985216,9417644,9476595,9791666,9903368,10108368,10177039,10986823,11141289,11169386,11371914,11659663,12543506,12732463,12866239,12970905,13092146,13256552,13667383,13835632,14731543,14913621,15394303,15489128,15565086,16319143,16604552,17188586,17425269,17503039,18027343,18157713,18275498,18680121,19360106,19581644,20684588,21060488,21278143,21616325,22051639,22153388,22822543,23462983,23693049,23908533,24396392,24738463,24901868,25939590,25999244,26385823,26432601,27142039,27445941,27668896,27687698,27895663,28253121,28396639,28752146,28896463,28919948,30559244,30609386,30639381,31127508,31624903,32195948,32559308,32608423,32837973,33104108,33343039,33917505,33953239,34374188,35168239,35280428,35500549,35769489,36178672,36909644,37276745,37576639,37632908,38422265,38536268,38699493,39092825,39169689,39789746,39837943,39844145,40340588,40701006,41135239,41241548,41839183,42582725,42773743,43412498,43587703,44050565,44166943,44732094,44744383,45016844,45690305,46070825,46106718,46239146,46503272,46911390,47377423,47812974,47944783,48058039,48515865,48736063,49259913,49492844,49636063,50038816,50065586,50308039,50419783,50715070,51061265,51099270,51750256,51865903,52182977,52316181,52860678,53080039,53326833,54186248,54285463,54505888,54756105,54828366,54837644,54888950,55156663,55239305,55265239,55274289,55284990,55523481,55915183,56293668,56885239,57121586,57314503,57470312,57528703,57621266,57982505,58219038,58369706,58406512,58561868,58970656,59058517,59654863,60153644,60181903,60858084,60959529,60969129,61213388,61273518,61319124,61648039,62085093,62246405,62586386,62686639,62790103,62800844,63061305,63306343,63484325,63818666,63960953,64022888,64128583,64556306,64654101,65041493,65112968,65707326,65802725,65866740,66287166,66341988,66365983,66411969,66420382,66494828,66944913,67265392,67372268,67493906,67747505,68949644,69163183,69278865,69579006,69649868,69683498,69999788,70148503,70257856,70554728,70894898,70995022,71641352,71710039,71852001,72025749,72102698,72343826,72450100,72580303,73252089,73253143,73418505,73457765,73738049,73897456,73910825,74296409,74547110,74695686,75044281,75061639,75465386,75533239,75673566,75754988,75943466,76181190,76844143,76860641,77494303,77839148,77850026,77864239,78302345,78313072,78963270,79040088,79374069,79399244,79605703,79696325,80059663,80596521,80912481,81128841,81259936,81297006,81500239,81589663,81993644,82475912,82745623,82832150,83030057,83045546,83134638,83267705,83546828,83748705,83784921,84227488,84369310,84500263,85366783,85715048,85797343,85982105,86315498,86940120,87160844,87163039,87247265,87310293,87586039,87797333,88007239,88102206,88149318,88692990,88920099,89085813,89331952,89342983,89456532,89505065,90414703,90708146,90937898,91372790,91417428,91444844,91717039,92115905,92120239,92177768,92299244,92736128,92785401,93239623,93252872,93332661,93455666,93584049,93657905,93962814,94030543,94139306,94605856,94755924,94886260,95027948,95275826,95538668,95635590,95668039,95853273,95976343,96015633,96109305,96429429,96782150,96860906,97038681,97201689,97807635,97831006,98251903,98426398,98624863,98888498,98936108,99010041,99398580,99921246,...,11384968243865356746457873316874969269035618214868907596113544348943045547708181600933511872103134395237931173529340357374821411864406115748240365240132574538717887353093206584823053466361835769547472747715645749745653666446609498563289942914340815418641673518373436742515285283449046379204104836379336925850456695463457681633722249957369544632115192643161320865929311702835165830438019579913976406146297850020805120956179446305658346187599525426497681403987524850284793757943303322106106692424299534709732474999658719977580511150449971329357489866521234963219577993937806129195693429988896097229065876480883325230343121459062976581082647322294509874606931769906462629169083081401089266961436849826223911736204173712856167384208885693652243609613469789361376018820942371252004224426847757427818056562760911928832842883907081917125763008120961681331795329861631284149349753634380858219892612942588251923614682173829358787353578591389501389526889367341267346783022091593631112112780249989680423954966869221030297663011543109609130244545328566712951513110951867397106879333757847850073488193403830722306913161183767098641869185788474790790442543761223003071370715239715189895690395957129799827066708507959295135032605486280083030845291100941836293525510162066618860222371511807036694984962436955788644065537183113610634358001068609734084802874167124766968860253230232469358740722460649970645887193400991237725001052970138492418493047061561494270418861990646733818252579485811468459506928382146145014881659958046123239701576290168909746289280593299093898253753519173277611325725769755160424949998143448055773946811247285155363627143189770142375004614264859975257068147438565308913738447509471473907765633208038930741896320835671904316461304063815916114477459772347796964323481350653699353881260673045409833170881374421049565386881172606083191346489517851717634121264886864035050398132007606945493596727218817014043481202420157140809322856610251641843837616459827758173396350747347090387826058059586743205589934715839807149421936748077106049965023673453393746129026437695039358653634386564663775111690839024287296537771319239721814352343556524864971431626509864773354418525163900588870039757254955623665765980559304386640093265731729715787554579332874514002734893601849010376961651249599221052710971043853902004511863872098389283755221656561015886321027111381300905823915865988476752891081819602790537172954120607740982568518182758435266231774795003624883790794075026877427604046092372700831878994490699832668010977296023083485253708743660045899077401073526642337940837528336968866137964934584007033475044469244867083959754183329780700849406698036626323067696983352804970290040079231694039228300752821426268694379697345081953139516652930823840112350927022746747657523946529312073950166234004426329075678194789013666332122678613834188350937274535890705858265815278715089543436047136843679561544128986888608496414288140600109422105012084465039154915342523010870884781336486504738597506313779022855365724687107920536831737434664713954308386784025723348965087237606701645303496311206587041437818771401621508471736595638433292296916372222197720531204226836306303112211867267681509778325774122315311034558797761147153793752638263279324196626961379227652816224193376809467795791006714128838590433296808656594280675106250230879109339372474544788416698820044229523953834680863398476441529417658833174767443453267317735230422989796188498088593816314174312029698552185448604584199824696207863039025605208295866644500968612985687347491809695957261213023468554181208696993131464904369498765969600077106877933763936219502297486492795662227947735360791563375466278213966278641620647204016597666262500561127665761233401787787330119075491743984324}
23417  92885114045760020129905194226533929814760817840843242910755519649893563406305: {23417,1520935,1801723,1825122,2573890,3014859,3088668,4586204,4791055,5024335,5749266,6029202,6551720,6706903,7203099,7370685,7862064,8518735,8665447,8774625,8844822,9216535,9359600,9511183,9581290,10222482,10529550,11059842,11231520,11369739,11497548,11521903,11599483,11772055,11980288,12106178,12315463,12363259,12379210,12635460,12876319,13477824,13552987,14126466,14271127,14528983,14687499,14855052,15162552,16570690,16754079,17057871,17073967,17200843,17294540,18195103,18427927,18736399,18815259,18837026,19361410,19638219,19876807,19884828,20271163,20753448,20755690,20997943,21346843,21536359,23041834,23233692,23347629,24151138,24202543,24210284,24477055,24724402,24906828,25163359,25782879,25855735,26163019,26325610,26576287,27413247,27691735,27933103,28948807,28953199,29040159,29372466,30495490,31026882,31127335,31320103,31468123,31590732,31656338,31878044,32406127,32499055,32520763,32559658,32736199,33230082,34004923,34214479,34586120,35066383,35243468,35269543,35405263,35946907,36149935,36446146,36594588,37352802,37670828,38199055,38336119,38909385,38998866,39155959,39286474,40244935,40576087,40690363,40699135,40793047,40852508,41136079,41265463,41380135,41503344,41531547,42369967,42584146,42665083,42967735,43128219,43158223,43379922,43783964,44100535,44500699,44706943,45223340,45281474,45312703,45733963,45744247,45838866,45914079,46137055,46691262,46818034,47041135,47143867,47350603,47412967,47692652,48170335,48293922,48838962,49656162,50286523,50293903,50425735,50909743,51105698,51551935,51561282,51599324,51820063,51975607,52226252,52920642,53148559,54109639,54268008,54841138,55176379,55364466,56020027,56271055,56311378,56449362,56900482,56973847,57804402,57901426,58129090,58857218,58894783,59392399,59642792,59684619,60510882,60906043,61051509,61475624,61735387,61862322,61866055,62548520,62686183,63325762,63622114,63750632,64276423,64641403,64660274,64687820,65118747,65480599,65517583,65679884,66012362,66952699,67098141,67525266,67732810,68132360,68310607,68523938,68547055,69160077,69358719,69754908,70367085,70480904,71102444,71545087,71719461,71725642,71837890,72166423,73008140,73104488,73202335,73584919,73699052,73713320,74031308,74239266,75000667,75058224,75098379,75192055,75359623,75458983,76072605,76166386,76516735,76648905,76697263,77216443,77625384,77706847,78005323,78165458,78445546,78488983,78501055,79266079,79291017,79824994,79932007,80001898,80028610,80655547,81144112,81279372,81292172,81391210,81596263,81698024,81758832,82242549,82256466,82333425,82727647,82780124,82927485,83118535,83125579,83178943,83845903,84081740,84215335,84440502,84732658,85682379,86187055,86205468,86431899,86479483,86841343,86993623,87062335,87328557,87499735,87554559,87609768,87651559,87822320,87842802,88016203,88193410,88382888,88455984,88515823,88549292,89103847,89214907,89259884,89424607,89514799,89551690,89702018,89902258,90112879,90230466,90562625,91168802,91283426,91287126,91764487,91820082,91910277,91978686,92069323,92371820,92376223,92580583,92772008,93008443,93879579,94201266,94693735,94713367,94882423,95141527,95646523,95727999,95802668,95999563,96034332,96834459,97298935,97669452,97891340,98489743,98560989,98800110,99249055,99430749,99512982,99594248,99630573,99742242,...,17077452365798035119686809975312453903553427322303361394170316523414568321562272401400267808154701592856896760294010536062232117796609173622360547860198861808076831029639809877234580199542753654321209121573468624618480499669914247844934914371511223127962510277560155113772927925173569568806157254569005388775685043195186522450583374936054316948172788964741981298893967554252748745657029369870964609219446775031207681434269169458487519281399288139746522105981287275427190636914954983159160038636449302064598712499488079966370766725674956994036234799781852444829366990906709193793540144983344145843598814721324987845514682188594464871623970983441764811910397654859693943753624622101633900442155274739335867604306260569284251076313328540478365414420204684042064028231413556878006336640271636141727084844141367893249264325860622875688644512181442521997692994792446926224024630451571287329838919413882377885422023260744038181030367887084252084290334051011901020174533137390446668169170374984520635932450303831545446494517314664413695366817992850069427269666427801095660319000636771775110232290105746083460369741775650647962803778682712186185663815641834504607056072859572784843535593935694699740600062761938942702548908229420124546267936651412754440288265243099928290333557267710555042477443655433682966098305774670415951537001602914601127204311250687150453290379845348704038111083690974955968830790101486856587501579455207738627739570592342241405628292985970100727378869228717202689260392573219217522322489937069184859552364435253364619433920889948640847380630278759916416988588654632740637424997215172083660920216870927733045440714784655213562506921397289962885602221157847963370607671264207210861648449812058396112844481253507856474691956095723874171716189658521695446485222025980549030821891009568114749756322061631574348080321758909124787019734276777576451181897330296052575597198011410418240395090828225521065221803630235711213984284915377462765756424689741637260094526121020635581739087089380114808384902073759710724132905122115659074947535510180090619193539656542559037980451579846995662667536258536430944806656978859582721528515334787297457147439764797160031627787745850883305059635882433435498648970838956579960139898597594573681331868999311771004102340402773515565442476874398831579066456565780853006767795808147583925632832484841523829481540667071951358735873798982715129336622729404185805759431180911611473852777274137652899347662192505437325686191112540316141406069138559051247818491736049749002016465944034625227880563115490068848616101610289963506911256292505453299206947401876010550212566703867300625939631274994671051274110047054939484601545475029207455435060118847541058842451129232139403041569546017622929709274979396235760168526390534120121486285919793968110925249351006639493613517292183520499498184017920751282526405911803836058787398722918072634315154070705265519342316193480332912744621432210900164133157518126697558732373013784516306327172004729757107896259470668534283048587030661880805247606151997070931462580176038585023447630856410052467955244466809880562156728157102432262707604893457649938445374558333296580796806340254459454668317800901522264667488661183472966551838196641720730690628957394918986294940442068841479224336290065214201693686510071193257885649945212984891421012659375346318664009058711817182625048230066344285930752021295097714662294126488249762151165179900976602845634484694282747132890724471261468044547828278172906876299737044311794558538407812443799966751452919478531021237714543935891819535202831271813045489697197356554248148954400115660316900645904329253446229739193493341921603041187345063199417320949417962430970806024896499393750841691498641850102681680995178613237615976486}
23418  93215491934831659831720664791956731187057920801285519157522522190902287526146: {444581,795566,1098437,1424777,1843781,2196686,2262137,2433496,2494277,2737683,2756126,2957957,3235781,3467081,3860835,3873278,3882917,4019812,4118224,4152206,4436357,4633002,5310281,5732755,5814917,6378446,6879306,7641797,7665688,7778297,8005637,8038936,8189650,8278181,8623899,8731781,8958281,9043803,9139337,9229817,9604132,9827580,10482752,10493177,10527806,11699500,11793096,11903726,12376457,12510437,12733577,13267233,13629976,13713017,13846277,14039400,14371935,14378597,14600057,14644766,14746456,14975360,15159652,15330064,15333723,15395657,15704357,15794325,15924617,16100681,16282478,16320581,16496357,16554926,16589763,16759781,16847280,17246322,17915006,17970432,18028937,18159267,18568815,18835288,18953190,19583332,19768457,19806736,19984997,20216736,20354078,20417477,21064697,21189699,21618175,21796037,21924857,21973646,22282578,22338772,22610681,22743828,22867337,23319326,23465081,23507717,23891081,24856035,25087012,25464926,25732478,25941810,26051237,26184292,26513104,27270281,27334766,27671264,27898181,28255539,28524281,28899077,29042115,29314757,29463086,29827242,30143717,30262855,30433097,30788606,30978256,31130172,31133535,31381157,32488697,32638286,32652281,33209104,34078181,34240517,34377172,34483781,34562751,34848137,34850538,34929017,35006078,35292581,36054686,36226707,36258917,36315426,36550996,37086603,37360242,38720212,38932217,39163288,39488415,39525797,39847555,40117577,40668281,40903817,41369176,41491397,41882117,42120976,42556286,42816581,43049477,43165817,43232650,43359557,43591781,44054335,44058699,44103278,44306776,44748581,45554057,45645086,45743235,46540323,46812677,46925966,47088535,47386098,47419781,47484507,47817066,47987081,48514937,48778277,48792784,48839487,49476926,49528517,49640777,49803736,49845123,50424581,50759417,51065635,51130697,51538181,51879180,51998488,52187443,52681337,52771646,52864997,52865202,53011781,53791171,54284078,54290681,54669219,54729955,54891882,54980837,55198181,55337792,55375396,55415237,55704197,55781803,55791326,55920581,56029203,56136677,56506242,56529175,56793278,57320057,57504292,57569957,57792926,57839896,58068581,58498299,58929711,59449337,59615815,59660681,60187781,61118488,61218772,61278762,61445477,61584581,61670791,62105081,62255016,62312777,63249806,63346937,63876219,63966427,64169081,64391896,64476197,64499155,64986617,65069883,65118616,65216846,65282815,65664377,65675946,65900837,66208216,66406217,66686078,66876281,67177637,67578437,67835010,67878281,67906478,67922211,68177477,68748376,68758299,69005177,69203081,69565157,69696581,70036893,70155557,70188281,70227051,70336478,70560856,70645577,71001098,71485771,71538978,71620217,72298181,72357344,72440883,72812357,72972617,73100681,73258443,73260581,73819288,74484243,74553490,74880137,75153278,75265816,75289637,75760457,76291877,76385417,76572281,76658547,76844530,76852037,76867219,77072536,77335027,77341923,77398986,77502281,77687417,78087557,78185650,78339378,79188581,79380963,79579492,79644281,79675886,79688290,80098181,80681176,80859775,80880677,81175507,81402012,81627977,82099855,82162937,82261707,82270478,82483096,82754297,82783781,82931081,83037163,83046699,83678366,83810681,84467067,84674043,85165450,85231877,85350723,85404581,85547486,85835081,86706603,86824996,86852139,86860937,87144967,87175406,87193635,87804847,88101130,88285827,88333886,88878055,89380217,89464188,89488766,89793797,90033688,90424457,90766323,90835303,91240697,91260175,91380610,91511177,91646117,92123815,92141650,92213436,92371337,92478292,92539135,92611781,92771717,92793483,92798299,93006544,93117257,93514277,93822780,94302917,94590281,94754846,94846507,94988643,95084357,95213897,95433171,95625948,95889566,95986937,96116078,96990411,97031730,97472126,97687397,97762697,97812857,98126431,98287781,98519826,98635877,98883557,98985688,99018543,99272126,99548297,99670757,...,25616178548697052679530214962968680855330140983455042091255474785121852482343408602100401712232052389285345140441015804093348176694913760433540821790298292712115246544459714815851870299314130481481813682360202936927720749504871371767402371557266834691943765416340232670659391887760354353209235881853508083163527564792779783675875062404081475422259183447112971948340951331379123118485544054806446913829170162546811522151403754187731278922098932209619783158971930913140785955372432474738740057954673953096898068749232119949556150088512435491054352199672778667244050486360063790690310217475016218765398222081987481768272023282891697307435956475162647217865596482289540915630436933152450850663232912109003801406459390853926376614469992810717548121630307026063096042347120335317009504960407454212590627266212051839873896488790934313532966768272163782996539492188670389336036945677356930994758379120823566828133034891116057271545551830626378126435501076517851530261799706085670002253755562476780953898675455747318169741775971996620543050226989275104140904499641701643490478500955157662665348435158619125190554612663475971944205668024068279278495723462751756910584109289359177265303390903542049610900094142908414053823362344130186819401904977119131660432397864649892435500335901565832563716165483150524449147458662005623927305502404371901690806466876030725679935569768023056057166625536462433953246185152230284881252369182811607941609355888513362108442439478955151091068303843075804033890588859828826283483734905603777289328546652880046929150881334922961271070945418139874625482882981949110956137495822758125491380325306391599568161072176982820343760382095934944328403331736771945055911506896310816292472674718087594169266721880261784712037934143585811257574284487782543169727833038970823546232836514352172124634483092447361522120482638363687180529601415166364676772845995444078863395797017115627360592636242338281597832705445353566820976427373066194148634637034612455890141789181530953372608630634070172212577353110639566086199357683173488612421303265270135928790309484813838556970677369770493494001304387804646417209985468289374082292773002180946185721159647195740047441681618776324957589453823650153247973456258434869940209847896391860521997803498967656506153510604160273348163715311598247368599684848671279510151693712221375888449248727262285744222311000607927038103810698474072694004934094106278708639146771367417210779165911206479349021493288758155988529286668810474212109103707838576871727737604074623503024698916051937841820844673235103272924152415434945260366884438758179948810421102814015825318850055800950938909446912492006576911165070582409226902318212543811183152590178271311588263676693848209104562354319026434394563912469094353640252789585801180182229428879690952166387874026509959240420275938275280749247276026881126923789608867705754088181098084377108951472731106057898279013474290220499369116932148316350246199736277190046338098559520676774459490758007094635661844389206002801424572880545992821207871409227995606397193870264057877535171446284615078701932866700214820843235092235653648394061407340186474907668061837499944871195209510381689182002476701352283397001232991775209449827757294962581096035943436092378479442410663103262218836504435097821302540529765106789886828474917819477337131518989063019477996013588067725773937572345099516428896128031942646571993441189732374643226747769851464904268451727041424120699336086706892202066821742417259360314449605566467691837807611718665699950127179379217796531856571815903837729302804246907719568234545796034831372223431600173490475350968856493880169344608790240012882404561781017594799125981424126943646456209037344749090626262537247962775154022521492767919856423964729}
23419  93547037245587477918725053446687076782148904883404630200151044918824960645572: {46834,1193349,2129309,3041870,3295029,3603446,3650244,4134189,5024765,5147780,5809917,6029718,6177336,6228309,6707477,6949503,7034069,9172408,9511997,9567669,9582110,10048670,10318959,11240489,11498532,11926229,12005165,12058404,12284475,12316517,12877421,12903149,13103440,13413806,13764341,14406198,14624375,14741370,15724128,15791709,16480877,17037470,17330894,17549250,17689644,17855589,18433070,18719200,18949565,19022366,19082669,19162580,20328269,20444964,21059100,21967149,22119684,22143017,22446077,22463040,22739478,22995096,23043806,23198966,23544110,23956829,23960576,24212356,24423717,24479165,24630926,24726518,24758420,24832389,24872837,25270920,25752638,25869483,26872509,26955648,27049901,27105974,27923465,28252932,28429785,28542254,29057966,29374998,29702909,29710104,30325104,30531117,31358765,32354549,32730365,32960469,33011849,33141380,33423867,33508158,34115742,34147934,34217417,34267877,34401686,34589080,34978989,35004821,35578301,36198029,36390206,36855854,37132349,37472798,37630518,37674052,38197389,38433629,38598717,38722820,38768429,38912715,39276438,39418901,39753614,39769656,40154477,40542326,41002149,41442089,41506896,41511380,41995886,42693686,42971465,43072718,43142717,43161929,43578269,44111357,44194629,44740863,45498677,45592229,45688745,46083668,46182909,46244957,46467384,46695258,47354669,48235661,48302276,48400265,48405086,48420568,48437717,48954110,48957429,49448804,49813656,50326718,50609909,50804501,51565758,51711470,52275807,52326038,52509117,52635497,52651220,53152574,53405501,53478677,53840237,54049229,54082029,54473139,54826494,55181117,55383470,55866206,56040363,56342909,56978789,57897614,57906398,57916541,57932189,58080318,58744932,59438249,59685317,60154829,60990980,61237997,61415717,61740749,62053764,62254670,62640206,62936246,63181464,63312676,63756088,63834429,64035317,64591877,64812254,64848975,64998110,65041526,65119316,65472398,65523209,65823581,65857589,66154917,66460164,66832637,67438469,67968749,68009846,68428958,68467629,69172240,69219245,70036037,70132766,70191017,70388949,70480157,70486936,70539086,70596029,70810526,71079147,71725599,71880365,71893814,71979869,72172709,72299870,72892292,73189176,74215389,74705604,75341656,76148729,76347149,76398110,76523465,76672238,76703849,77818770,77997732,78311918,78495749,78572948,78659741,78779477,79125917,79139909,79157469,79297803,80489870,81152174,81380726,81398270,81426117,81586094,81705016,82272158,82337823,82530926,82760270,83006688,83063094,83132717,83686989,84225461,84739934,84759363,85168292,85189917,85330166,85524197,85935470,86256438,86316446,86486909,86612477,86688137,86689389,86759844,86848829,87567928,87722981,88201070,88523501,88716269,89001398,89413886,90120617,90212489,90446680,90562948,90625406,91467926,91488494,91677732,91828158,91918143,92077229,92188109,92274110,92964701,93016517,93382524,93636068,93724781,94082270,94287734,94701206,94825934,94874709,95190317,95385304,95965877,96007901,96340670,96587844,97096709,97287689,97677924,97825269,98513919,98746997,99312324,99474365,99945149,...,34154904731596070239373619950624907807106854644606722788340633046829136643124544802800535616309403185713793520588021072124464235593218347244721095720397723616153662059279619754469160399085507308642418243146937249236960999339828495689869828743022446255925020555120310227545855850347139137612314509138010777551370086390373044901166749872108633896345577929483962597787935108505497491314058739741929218438893550062415362868538338916975038562798576279493044211962574550854381273829909966318320077272898604129197424998976159932741533451349913988072469599563704889658733981813418387587080289966688291687197629442649975691029364377188929743247941966883529623820795309719387887507249244203267800884310549478671735208612521138568502152626657080956730828840409368084128056462827113756012673280543272283454169688282735786498528651721245751377289024362885043995385989584893852448049260903142574659677838827764755770844046521488076362060735774168504168580668102023802040349066274780893336338340749969041271864900607663090892989034629328827390733635985700138854539332855602191320638001273543550220464580211492166920739483551301295925607557365424372371327631283669009214112145719145569687071187871389399481200125523877885405097816458840249092535873302825508880576530486199856580667114535421110084954887310867365932196611549340831903074003205829202254408622501374300906580759690697408076222167381949911937661580202973713175003158910415477255479141184684482811256585971940201454757738457434405378520785146438435044644979874138369719104728870506729238867841779897281694761260557519832833977177309265481274849994430344167321840433741855466090881429569310427125013842794579925771204442315695926741215342528414421723296899624116792225688962507015712949383912191447748343432379317043390892970444051961098061643782019136229499512644123263148696160643517818249574039468553555152902363794660592105151194396022820836480790181656451042130443607260471422427968569830754925531512849379483274520189052242041271163478174178760229616769804147519421448265810244231318149895071020360181238387079313085118075960903159693991325335072517072861889613313957719165443057030669574594914294879529594320063255575491701766610119271764866870997297941677913159920279797195189147362663737998623542008204680805547031130884953748797663158132913131561706013535591616295167851265664969683047658963081334143902717471747597965430258673245458808371611518862361823222947705554548275305798695324385010874651372382225080632282812138277118102495636983472099498004032931888069250455761126230980137697232203220579927013822512585010906598413894803752021100425133407734601251879262549989342102548220094109878969203090950058414910870120237695082117684902258464278806083139092035245859418549958792471520337052781068240242972571839587936221850498702013278987227034584367040998996368035841502565052811823607672117574797445836145268630308141410531038684632386960665825489242864421800328266315036253395117464746027569032612654344009459514215792518941337068566097174061323761610495212303994141862925160352077170046895261712820104935910488933619761124313456314204864525415209786915299876890749116666593161593612680508918909336635601803044529334977322366945933103676393283441461381257914789837972589880884137682958448672580130428403387373020142386515771299890425969782842025318750692637328018117423634365250096460132688571861504042590195429324588252976499524302330359801953205691268969388565494265781448942522936089095656556345813752599474088623589117076815624887599933502905838957062042475429087871783639070405662543626090979394394713108496297908800231320633801291808658506892459478386986683843206082374690126398834641898835924861941612049792998787501683382997283700205363361990357226475231952972}
23420  93879754076234381970495712348430768817258214088866702829185179489621872101177: {70251,889162,1591132,2196874,2540899,2849554,2958211,3513619,3687562,4393372,4482811,4524274,4562805,4866992,4897099,4988554,5172931,5405169,5475366,5512252,5915914,6410611,6434725,6471562,6934162,7721670,7746556,7765834,8025857,8039624,8051779,8236448,8304412,8460451,8732539,8872714,9044577,9266004,9411499,10494091,10620562,11437579,11465510,11629834,12756892,13758612,13980691,14373165,14645611,15073005,15283594,15331376,15556594,16011274,16077872,16379300,16556362,17024419,17247798,17418619,17463562,17916562,18087606,18278674,18459634,19208264,19249651,19655160,19770211,20120709,20678419,20965504,20986354,21055612,21066571,21609297,21712051,22112055,23253859,23399000,23509819,23586192,23807452,23953225,24752914,24912451,25020874,25166539,25467154,25556205,25996341,26323875,26534466,27259952,27314659,27426034,27649605,27691579,27692554,28078800,28533549,28568539,28693531,28743870,28757194,29200114,29289532,29317411,29492912,29950720,30265445,30319304,30435859,30660128,30667446,30791314,30948025,31301731,31408714,31425139,31588650,31849234,32041099,32201362,32532571,32564956,32641162,32992714,33109852,33179526,33519562,33694560,33878179,34109217,34486939,34492644,34565709,34798449,35316165,35336179,35830012,35940864,36057874,36181891,36302419,36318534,36783811,36946389,37089777,37137630,37670576,37862731,37906380,38101699,38628957,39166664,39529459,39536914,39613472,39969994,40121299,40433472,40658961,40708156,40834954,41426725,41534371,42129394,42367997,42379398,42587371,42813381,43236350,43402339,43586949,43592074,43849714,43947292,44062497,44565156,44677544,45221362,45481771,45487656,45596611,45734674,46638652,46930162,47015434,47092565,47651419,47782162,48218059,48403525,49712070,50174024,50243059,50262237,50929852,51135571,51173613,51221901,51464956,51602529,51801931,51883620,51889225,52102474,52368584,52686379,53026208,54540562,54585309,54669532,54986131,55283781,55342528,55420579,55529011,55745659,55786577,55796362,56178091,56209197,56445777,56511078,57048562,57604585,57798154,58084230,58629514,58748491,58914657,58926172,59278771,59630421,59654484,60287434,60377845,60525710,60813489,60866194,61577212,61676069,61811005,61956512,62260344,62267070,62318899,62422651,62629939,62762314,62993829,64040529,64482571,64609077,64977394,65276572,65304562,65704699,65814025,65907379,65923949,66418208,66513691,66614491,66715219,66916459,67618531,67918339,68156362,68481034,68754344,68967562,69012091,69125502,69696274,69701076,69858034,70012156,70042887,70195339,70585162,70685299,71465491,71491889,72047611,72109372,72453414,72517834,72607629,72630852,73101992,73431165,73491571,73587259,74173206,74720484,74919331,75490077,75768211,75956059,76238725,76424419,76611259,76621937,76797811,77348637,77440424,77567205,77726251,77864434,78326576,78489057,78976830,79051594,79140845,79379299,79695110,79728861,80015851,80235154,80739019,81336562,81399145,81807634,82001821,82239741,82738352,82792459,82982794,83075205,83462141,83764234,83799309,84241952,84285739,84372931,85112572,85240891,85633162,86015899,86098954,86331634,86465300,86719114,86846421,86859597,87120477,87183562,87463891,88108670,88117398,88206556,88389739,88613552,88807699,89140771,89497162,90298817,90788851,90843077,91108114,91115365,91290172,91395941,91486470,91683019,91925371,92006011,92408131,92806241,93080646,93382005,93524491,93603691,93625354,93682819,93851932,93960309,94177070,94313251,94404369,94704931,94772196,94839562,94861099,94969014,95634132,95974162,96330331,97029874,97218381,97396291,97497165,97556554,97562289,97585568,97678974,97698259,97848811,97923979,98134829,98208597,98216185,98953852,99057034,99264691,99281554,99412219,99559459,99607472,99690246,...,51232357097394105359060429925937361710660281966910084182510949570243704964686817204200803424464104778570690280882031608186696353389827520867081643580596585424230493088919429631703740598628260962963627364720405873855441499009742743534804743114533669383887530832680465341318783775520708706418471763707016166327055129585559567351750124808162950844518366894225943896681902662758246236971088109612893827658340325093623044302807508375462557844197864419239566317943861826281571910744864949477480115909347906193796137498464239899112300177024870982108704399345557334488100972720127581380620434950032437530796444163974963536544046565783394614871912950325294435731192964579081831260873866304901701326465824218007602812918781707852753228939985621435096243260614052126192084694240670634019009920814908425181254532424103679747792977581868627065933536544327565993078984377340778672073891354713861989516758241647133656266069782232114543091103661252756252871002153035703060523599412171340004507511124953561907797350911494636339483551943993241086100453978550208281808999283403286980957001910315325330696870317238250381109225326951943888411336048136558556991446925503513821168218578718354530606781807084099221800188285816828107646724688260373638803809954238263320864795729299784871000671803131665127432330966301048898294917324011247854611004808743803381612933752061451359871139536046112114333251072924867906492370304460569762504738365623215883218711777026724216884878957910302182136607686151608067781177719657652566967469811207554578657093305760093858301762669845922542141890836279749250965765963898221912274991645516250982760650612783199136322144353965640687520764191869888656806663473543890111823013792621632584945349436175188338533443760523569424075868287171622515148568975565086339455666077941647092465673028704344249268966184894723044240965276727374361059202830332729353545691990888157726791594034231254721185272484676563195665410890707133641952854746132388297269274069224911780283578363061906745217261268140344425154706221279132172398715366346977224842606530540271857580618969627677113941354739540986988002608775609292834419970936578748164585546004361892371442319294391480094883363237552649915178907647300306495946912516869739880419695792783721043995606997935313012307021208320546696327430623196494737199369697342559020303387424442751776898497454524571488444622001215854076207621396948145388009868188212557417278293542734834421558331822412958698042986577516311977058573337620948424218207415677153743455475208149247006049397832103875683641689346470206545848304830869890520733768877516359897620842205628031650637700111601901877818893824984013153822330141164818453804636425087622366305180356542623176527353387696418209124708638052868789127824938188707280505579171602360364458857759381904332775748053019918480840551876550561498494552053762253847579217735411508176362196168754217902945462212115796558026948580440998738233864296632700492399472554380092676197119041353548918981516014189271323688778412005602849145761091985642415742818455991212794387740528115755070342892569230157403865733400429641686470184471307296788122814680372949815336123674999889742390419020763378364004953402704566794002465983550418899655514589925162192071886872184756958884821326206524437673008870195642605081059530213579773656949835638954674263037978126038955992027176135451547875144690199032857792256063885293143986882379464749286453495539702929808536903454082848241398672173413784404133643484834518720628899211132935383675615223437331399900254358758435593063713143631807675458605608493815439136469091592069662744446863200346980950701937712987760338689217580480025764809123562035189598251962848253887292912418074689498181252525074495925550308045042985535839712847929458}
23421  94213646539271735678892861119248478044739074581274025237362564902282136186760: {93668,1333743,1988915,2386698,2831279,3295311,4258618,4274331,5491715,5531343,6083740,6590058,6786411,6890315,7034671,7206892,7300488,7482831,8213049,8268378,8873871,9683195,9707343,10049530,10295560,10380515,10401243,10539419,11241451,11582505,11619834,11648751,12059436,12354672,12456618,13309071,13414954,13617131,13765519,13899006,14068138,15587123,15930843,15946115,16807231,17198265,17444751,18227759,18344816,18662243,19023994,19135338,19164220,20097340,20474125,20637918,21297551,22025651,22480978,22831259,22925391,22997064,23334891,23852458,24010330,24016911,24116808,24568950,24633034,24834543,25754842,25806298,25871697,26195343,26206880,26319515,26529391,26827612,26874843,27131409,27418011,27528682,27689451,28162931,28812396,28958171,29248750,29395171,29482740,29759315,31448256,31479531,31583418,31671023,32905931,32961754,33545039,34074940,34270831,34661788,35098500,35379288,35711178,35872043,36611915,36866140,37129371,37438400,37531311,37899130,38044732,38092991,38165338,38200731,38325160,39092851,39232859,39801699,39922763,40656538,40706195,40889928,41139051,41387315,41538831,42047083,42118200,42377243,43115805,43135791,43800171,43902271,43934298,44239368,44286034,44742011,44787515,44892154,44926080,44962691,45478956,45822511,45990192,46001169,46087612,46186971,46397932,47088220,47113071,47382975,47455291,47773851,47913658,47921152,48017939,48239803,48302043,48424712,48847434,48958330,48961743,49261852,49453036,49489071,49516840,49664778,49745674,49769289,50279343,50541840,50689571,50885195,51505276,51529343,51738966,53745018,53911296,54086811,54099802,54118931,54211948,54477801,54653131,54934115,55706445,55846930,56413499,56505864,56859570,57084508,57088639,57319151,58092611,58115932,58298315,58749996,59305371,59405818,59420208,59954991,60041683,60160051,60650208,61062234,61252431,62717530,62963011,63194091,63569097,63629371,63662315,63941999,63964243,64331195,64709098,64854525,65388111,65460730,65774571,65920938,66023698,66282760,66707119,66847734,67016316,67158991,67760371,67832043,68219339,68231484,68295868,68336915,68434834,68535754,68602011,68803372,69178160,69957978,70009642,70042051,70395243,70523151,71156602,71673243,72396058,72582211,72780412,73657715,73711708,74264698,74506091,74568105,74945596,75261036,75348104,76285283,76394778,76867258,76971515,77197434,77445640,77536858,77825430,78153711,78552876,78837802,79021679,79279691,79507228,79539312,80308954,81084652,81595715,81810843,82004298,82884178,83013792,83022760,83294731,83694543,83991772,84766617,84988859,85107403,85387372,85572843,85942930,86145436,86285434,86323858,86697231,87126345,87156538,87515195,87666611,87730543,87944271,88031471,88222714,88389258,89481726,89530331,90136715,90431151,90788565,90858191,90997354,91184458,91299291,91377490,92167336,92365818,92489914,92934768,93390516,93400605,94143471,94709338,95198491,96398339,96471322,96604552,96800530,96810172,96841136,96875434,96906943,97012751,97466091,97565999,97908220,97914858,97956843,98506859,98897608,99627312,...,76848535646091158038590644888906042565990422950365126273766424355365557447030225806301205136696157167856035421323047412280044530084741281300622465370894878136345739633379144447555610897942391444445441047080608810783162248514614115302207114671800504075831296249020698011978175663281063059627707645560524249490582694378339351027625187212244426266777550341338915845022853994137369355456632164419340741487510487640434566454211262563193836766296796628859349476915792739422357866117297424216220173864021859290694206247696359848668450265537306473163056599018336001732151459080191372070930652425048656296194666245962445304816069848675091922307869425487941653596789446868622746891310799457352551989698736327011404219378172561779129843409978432152644364890921078189288127041361005951028514881222362637771881798636155519621689466372802940598900304816491348989618476566011168008110837032070792984275137362470700484399104673348171814636655491879134379306503229553554590785399118257010006761266687430342861696026367241954509225327915989861629150680967825312422713498925104930471435502865472987996045305475857375571663837990427915832617004072204837835487170388255270731752327868077531795910172710626148832700282428725242161470087032390560458205714931357394981297193593949677306501007704697497691148496449451573347442375986016871781916507213115705072419400628092177039806709304069168171499876609387301859738555456690854643757107548434823824828067665540086325327318436865453273204911529227412101671766579486478850451204716811331867985639958640140787452644004768883813212836254419623876448648945847332868412487468274376474140975919174798704483216530948461031281146287804832985209995210315835167734520688932448877418024154262782507800165640785354136113802430757433772722853463347629509183499116912470638698509543056516373903449277342084566361447915091061541588804245499094030318537986332236590187391051346882081777908727014844793498116336060700462929282119198582445903911103837367670425367544592860117825891902210516637732059331918698258598073049520465837263909795810407786370928454441515670912032109311480482003913163413939251629956404868122246878319006542838557163478941587220142325044856328974872768361470950459743920368775304609820629543689175581565993410496902969518460531812480820044491145934794742105799054546013838530455081136664127665347746181786857232666933001823781114311432095422218082014802282318836125917440314102251632337497733619438047064479866274467965587860006431422636327311123515730615183212812223870509074096748155813525462534019705309818772457246304835781100653316274539846431263308442047475956550167402852816728340737476019730733495211747227680706954637631433549457770534813934764791030081544627313687062957079303183691737407283060920758368757403540546688286639072856499163622079529877721260827814825842247741828080643380771368826603117262264543294253131326854418193318173694837040422870661498107350796444949050738599208831570139014295678562030323378472274021283906985533167618008404273718641637978463623614227683986819191581610792173632605514338853845236105798600100644462529705276706960945182184222020559424723004185512499834613585628531145067546007430104056850191003698975325628349483271884887743288107830308277135438327231989309786656509513305293463907621589295320369660485424753458432011394556967189058433988040764203177321812717035298549286688384095827939715980323569197123929680243309554394712805355181124272362098008260120676606200465227251778080943348816699403075513422835155997099850381538137653389595569715447711513187908412740723158704703637388104494116670294800520471426052906569481640508033826370720038647213685343052784397377944272380830939368627112034247271878787611743888325462067564478303759569271894187}
23422  94548718761540876989319947588898674336332027657857008753217005483660749280673: {117085,140502,538177,1238557,1778324,1937137,2076637,2355421,3051121,3182264,3580047,4393748,5081798,5403037,5699108,5916422,6090817,6387927,7027238,7375124,7604675,8279617,8786744,8823937,8965622,9008615,9048548,9125610,9231421,9638257,9733984,9794198,9885087,9977108,10314877,10345862,10585021,10810338,10950732,10989697,11024504,11831828,11931421,12402567,12821222,12869450,12869617,12943124,13003357,13868324,14868157,15074295,15443340,15493112,15530737,15531668,15927421,16051714,16079248,16103558,16472896,16608824,16850497,16920902,17429751,17465078,17745428,18089154,18293917,18532008,18684927,18822998,19858621,20122431,20507521,20848509,20988182,21102207,21154621,21241124,21412957,22700317,22875158,22931020,23085121,23259668,23955275,25121675,25513784,25633921,25887217,26519197,27275197,27517224,27961382,28529437,28535991,28703007,28746330,29291222,30146010,30567188,30662752,30956877,31016317,31113188,32022548,32155744,32739997,32758600,33107521,33112724,33534515,33721467,34048838,34084417,34327921,34495596,34571137,34837238,34927124,34935421,35299057,35778687,35833124,36015495,36175212,36557348,36853425,36919268,36949551,37107517,37347421,38416528,38499302,38632263,38709447,39137521,39310320,39374977,39540422,40241418,40911421,41293023,41356838,41499121,41931008,41972708,42111224,42133142,42371623,42593675,42902257,43218594,43327235,43424102,43599937,43873125,44224110,44410621,44756977,45792157,46082675,46507718,46798000,47019638,47172384,47375127,47504497,47555915,47614904,47906450,48071677,49200637,49442631,49505828,49824902,50041748,50333078,50434177,50657521,50934308,51112410,51214621,51548017,51992682,52647750,53068932,53095297,53205277,53566767,54519904,54629318,54737437,54852068,55281217,55299210,55383158,55385108,56157600,56471197,56686621,56848695,57067098,57137078,57248007,57387062,57487740,57514388,57609515,57997415,58400228,58579064,58634822,58860275,58985824,59143297,59901440,60199537,60530890,60638608,60871718,60984807,61320256,61334892,61457521,61577315,61582628,61666177,61816295,61896050,62603462,62808637,62817428,62850278,63177300,63698468,64082198,64381595,64402724,64557121,64761457,65065142,65067421,65129912,65282324,65901447,65929591,65985428,66219704,66359052,66385777,66429051,67039124,67338231,67389120,67391617,67591921,67756358,67764935,68218434,68886877,68973878,68985288,69085021,69131418,69596898,70267837,70632330,70672358,71050621,71355635,71660024,71870487,71881728,72115748,72312817,72363782,72505921,72604838,72637068,72644915,73271151,73437495,73567622,73892778,73945021,74179554,74275260,74497167,74618511,75341152,75367921,75556417,75725462,75812760,75838621,76203398,77257914,77518237,77608449,77703421,77980657,78333328,78441277,79058918,79073828,79226944,79721437,79939988,80242598,80617527,80646419,80866944,80897521,81149703,81317922,81346621,81416312,81615217,81669908,81972337,82008839,82853450,82948477,83068742,83565121,83770395,83828317,84003421,84258788,84528983,84614017,84735994,84758796,85174742,85289355,85369835,85480177,85626762,86004215,86339137,86472700,86535407,86804678,87173898,87184148,87275677,87614077,87657119,87698497,87699428,87867121,87894584,88035457,88124994,88287421,88705921,89108727,89130312,89355088,90442724,90963542,90975312,90975515,91016257,91193222,91469348,91593351,92139635,92230717,92391421,92791921,93190621,93277304,93681995,93860324,94030868,94076295,94140157,94185130,94375921,94611037,95157121,95302838,95564324,95699677,95776897,96085057,96436118,96468637,96807050,96911243,97063647,97078621,97834621,98191095,98359537,98583421,98806657,98881407,98955121,99035547,99384035,99424140,...,102464714194788210718120859851874723421320563933820168365021899140487409929373634408401606848928209557141380561764063216373392706779655041734163287161193170848460986177838859263407481197256521925927254729440811747710882998019485487069609486229067338767775061665360930682637567551041417412836943527414032332654110259171119134703500249616325901689036733788451887793363805325516492473942176219225787655316680650187246088605615016750925115688395728838479132635887723652563143821489729898954960231818695812387592274996928479798224600354049741964217408798691114668976201945440255162761240869900064875061592888327949927073088093131566789229743825900650588871462385929158163662521747732609803402652931648436015205625837563415705506457879971242870192486521228104252384169388481341268038019841629816850362509064848207359495585955163737254131867073088655131986157968754681557344147782709427723979033516483294267312532139564464229086182207322505512505742004306071406121047198824342680009015022249907123815594701822989272678967103887986482172200907957100416563617998566806573961914003820630650661393740634476500762218450653903887776822672096273117113982893851007027642336437157436709061213563614168198443600376571633656215293449376520747277607619908476526641729591458599569742001343606263330254864661932602097796589834648022495709222009617487606763225867504122902719742279072092224228666502145849735812984740608921139525009476731246431766437423554053448433769757915820604364273215372303216135562355439315305133934939622415109157314186611520187716603525339691845084283781672559498501931531927796443824549983291032501965521301225566398272644288707931281375041528383739777313613326947087780223646027585243265169890698872350376677066887521047138848151736574343245030297137951130172678911332155883294184931346057408688498537932369789446088481930553454748722118405660665458707091383981776315453583188068462509442370544969353126391330821781414267283905709492264776594538548138449823560567156726123813490434522536280688850309412442558264344797430732693954449685213061080543715161237939255354227882709479081973976005217551218585668839941873157496329171092008723784742884638588782960189766726475105299830357815294600612991893825033739479760839391585567442087991213995870626024614042416641093392654861246392989474398739394685118040606774848885503553796994909049142976889244002431708152415242793896290776019736376425114834556587085469668843116663644825917396085973155032623954117146675241896848436414831354307486910950416298494012098795664207751367283378692940413091696609661739781041467537755032719795241684411256063301275400223203803755637787649968026307644660282329636907609272850175244732610360713085246353054706775392836418249417276105737578255649876377414561011158343204720728917715518763808665551496106039836961681103753101122996989104107524507695158435470823016352724392337508435805890924424231593116053897160881997476467728593265400984798945108760185352394238082707097837963032028378542647377556824011205698291522183971284831485636911982425588775481056231510140685785138460314807731466800859283372940368942614593576245629360745899630672247349999779484780838041526756728009906805409133588004931967100837799311029179850324384143773744369513917769642652413048875346017740391285210162119060427159547313899671277909348526075956252077911984054352270903095750289380398065715584512127770586287973764758929498572906991079405859617073806908165696482797344346827568808267286969669037441257798422265870767351230446874662799800508717516871186127426287263615350917211216987630878272938183184139325488893726400693961901403875425975520677378435160960051529618247124070379196503925696507774585824836149378996362505050148991851100616090085971071679425695858916}
23423  94884974884274806679032392388352942979682168283301893444661904566799548265519: {187336,210753,2222905,2667486,2784481,3346057,3977830,4773396,5492185,5662558,6590622,7123885,7622697,7688401,8517236,8548662,8874633,9218905,9646441,10540321,10540857,10983430,11053537,11062686,11310685,12167480,12455677,12471385,13180116,13448433,13556473,13572822,13688415,13780630,14069342,14413784,14532721,14600976,14691297,14699101,14789785,14965662,15518793,15588457,16092973,16178905,16215507,16426098,16536756,16662097,17335405,17747742,18741217,19231833,19304175,19366390,19414585,19414686,20099060,20276377,20591120,20761030,20802486,20857801,21078838,21541897,22181785,22324561,22482902,23100073,23165010,23239668,23297502,24077571,24118872,24155337,24709344,24913236,25062061,25169833,25381353,25898521,26197617,26551405,26583121,26618142,26829908,26982397,27133731,27234262,27531038,27798012,28136276,28234497,28663775,28956253,29074585,31174246,31328161,31476217,31482273,31861686,31892230,32744617,33614462,34223293,34312737,34396530,34889502,35956153,36455518,36689632,36777217,36847321,37324486,38047988,38208985,38270676,38328440,38345977,38891485,39166033,39644137,40028185,40194680,40586521,40948250,41146657,41275836,41276077,41390905,41663041,41942073,42374257,42595102,42676057,43119495,43169341,43658905,43936833,44051302,44745853,44791405,44961956,45219015,45324361,45662518,45696685,45756013,45850782,45994128,46149085,46669782,47155993,47362801,47704916,47717617,48020660,48033822,48233616,49137900,49266068,49370557,49669086,50005777,50259361,50922841,51073257,51256681,51329521,51509684,51612596,51743394,52255857,52390686,52413760,52465885,52639030,53058782,53162233,53655224,53749686,53849521,54193501,54262818,54836022,55057364,55190593,55378902,56109577,56325862,56882617,56988673,57324073,57624792,57748953,57916342,57942241,58325821,58390537,58497500,58790342,58965480,59165377,59310633,59518630,60362127,60921817,61882285,62035257,62552185,62702521,62896512,62959062,63166836,63199713,63342046,63667885,64827891,65136153,65534461,65811862,65923508,66336165,67090078,67858321,68149880,68225197,68480137,68541662,68565085,69231385,69323576,69570217,69761577,70109497,70197000,70529457,70679761,70758576,71239273,71422356,71497921,71744086,71859675,71892985,72893497,72924121,73000285,73223830,73732280,74258742,74737353,74876800,75062622,75499617,75567817,75798260,76089464,76185982,76330676,76401462,76650320,76668615,76717021,76907761,76978285,77726941,77989023,78185702,78465718,78521785,78971625,79529857,79603398,79623085,79681177,79845526,80503405,81313076,81412390,81546337,81602905,81617641,81779856,81943977,82278102,82481785,82774630,82948815,83074737,83077662,83146993,83798905,84037921,84094166,84236400,84754486,84996157,85600647,85705617,86080593,86231610,86271582,86501761,87600342,87804542,87868596,87952233,88052653,88478736,88538857,88572068,89127241,89134657,89484022,89538097,89575030,89784308,89852160,89925382,90063673,90136093,90144685,90796335,90865993,90957912,91036297,91307577,91645022,91788253,91980384,92002338,92093041,92161561,92175224,92373942,92420233,92795864,92844075,93389257,93905193,94127521,94176440,94226142,94275417,94529017,94765950,94910582,95547702,95671681,95827316,95842304,96035878,96123297,96479606,96604086,96849424,97021177,97519417,97574377,97597713,97694868,97916660,97923486,98307217,98523704,98842285,98906072,98978142,99033680,99329556,99491348,99538578,99924985,...,153697071292182316077181289777812085131980845900730252547532848710731114894060451612602410273392314335712070842646094824560089060169482562601244930741789756272691479266758288895111221795884782888890882094161217621566324497029228230604414229343601008151662592498041396023956351326562126119255415291121048498981165388756678702055250374424488852533555100682677831690045707988274738710913264328838681482975020975280869132908422525126387673532593593257718698953831585478844715732234594848432440347728043718581388412495392719697336900531074612946326113198036672003464302918160382744141861304850097312592389332491924890609632139697350183844615738850975883307193578893737245493782621598914705103979397472654022808438756345123558259686819956864305288729781842156378576254082722011902057029762444725275543763597272311039243378932745605881197800609632982697979236953132022336016221674064141585968550274724941400968798209346696343629273310983758268758613006459107109181570798236514020013522533374860685723392052734483909018450655831979723258301361935650624845426997850209860942871005730945975992090610951714751143327675980855831665234008144409675670974340776510541463504655736155063591820345421252297665400564857450484322940174064781120916411429862714789962594387187899354613002015409394995382296992898903146694884751972033743563833014426231410144838801256184354079613418608138336342999753218774603719477110913381709287514215096869647649656135331080172650654636873730906546409823058454824203343533158972957700902409433622663735971279917280281574905288009537767626425672508839247752897297891694665736824974936548752948281951838349597408966433061896922062562292575609665970419990420631670335469041377864897754836048308525565015600331281570708272227604861514867545445706926695259018366998233824941277397019086113032747806898554684169132722895830182123083177608490998188060637075972664473180374782102693764163555817454029689586996232672121400925858564238397164891807822207674735340850735089185720235651783804421033275464118663837396517196146099040931674527819591620815572741856908883031341824064218622960964007826326827878503259912809736244493756638013085677114326957883174440284650089712657949745536722941900919487840737550609219641259087378351163131986820993805939036921063624961640088982291869589484211598109092027677060910162273328255330695492363573714465333866003647562228622864190844436164029604564637672251834880628204503264674995467238876094128959732548935931175720012862845272654622247031461230366425624447741018148193496311627050925068039410619637544914492609671562201306632549079692862526616884094951913100334805705633456681474952039461466990423494455361413909275262867098915541069627869529582060163089254627374125914158606367383474814566121841516737514807081093376573278145712998327244159059755442521655629651684495483656161286761542737653206234524529086588506262653708836386636347389674080845741322996214701592889898101477198417663140278028591357124060646756944548042567813971066335236016808547437283275956927247228455367973638383163221584347265211028677707690472211597200201288925059410553413921890364368444041118849446008371024999669227171257062290135092014860208113700382007397950651256698966543769775486576215660616554270876654463978619573313019026610586927815243178590640739320970849506916864022789113934378116867976081528406354643625434070597098573376768191655879431960647138394247859360486619108789425610710362248544724196016520241353212400930454503556161886697633398806151026845670311994199700763076275306779191139430895423026375816825481446317409407274776208988233340589601040942852105813138963281016067652741440077294427370686105568794755888544761661878737254224068494543757575223487776650924135128956607519138543788374}
23424  95222419063148047955273461332207309701743224553714850739272331328745238839319: {163919,234170,281004,1076354,1238663,1564919,2262719,2402063,2477114,2634143,2958719,3051383,3556648,3874274,4001229,4022423,4153274,4575719,4710842,5173823,5265719,5816423,5953919,5966745,6102242,6364528,6503183,6777383,7096919,7160094,7780319,8144063,8461919,8493837,8787496,8824703,9141719,9684263,9885933,9909983,10163596,10585943,10630943,10646545,10806074,11170319,11398216,11529263,11832844,11977223,12181634,12513719,12612061,12775854,12822993,12870743,13049063,13849919,13983143,14054476,14071919,14603903,14736719,14750248,15209350,15311423,15532103,16475145,16500719,16559234,16594029,16632503,17509223,17573488,17647874,17815319,17931244,18017230,18097096,18251220,18339143,18462842,19253063,19276514,19339919,19467968,19588396,19770174,19860383,19903703,19954216,20359233,20629754,20670945,20691724,21104013,21156503,21170042,21620676,21801863,21901464,21930719,21979394,22049008,22059503,22231103,22448493,23129903,23663656,23862842,24639147,24805134,24916919,25123825,25636223,25642444,25678463,25738900,25739234,25886248,26006714,26621613,27319583,27736648,28281719,28573703,28782023,29049585,29122029,29736314,30027743,30148590,30276023,30886680,30986224,31061474,31063336,31141545,31203729,31389719,31513103,31618257,31800719,31854842,32103428,32158496,32207116,32497583,32620319,32945792,33217648,33518183,33537385,33700994,33724353,33762383,33841804,33965663,34574303,34747515,34859502,34930156,34946253,35059919,35170345,35342663,35490856,35665319,36067919,36178308,36268919,36587834,36870719,37064016,37369854,37390823,37645996,37750103,38466719,39141143,39378623,39717242,39852719,39927213,40128743,40244862,40246919,40851393,40915223,41015042,41032919,41296557,41502983,41542103,41697018,41976364,42204414,42309242,42482248,42825914,43177919,43371719,44453303,44991743,45400634,45566903,45750316,45862040,46170242,46519336,46749863,46761369,46939943,46948321,47395319,47559985,47792529,47838345,47910550,47962919,48227183,49654919,50243350,50327183,50421693,50662343,50885423,51027568,51219503,51267842,51594795,51774434,51885719,52334253,52365263,52696463,53038394,53247023,54451919,54550394,54683277,55034448,55431263,55539719,55828583,55922764,55986729,56080919,56202445,56512583,57058874,57071982,57406014,57492660,57693719,58582444,58830743,59572463,59631145,59818919,60025825,60292020,60658129,61134376,61325504,61422375,61582585,61913754,62032634,62226376,62434919,62711303,63640319,63892653,64045096,64085543,64311488,64387105,64515745,64563503,65479994,65517200,65582423,66076953,66215042,66225448,66426023,66526919,66578281,66795623,67069030,67431743,67442934,67632023,68097676,68168834,68297543,68493777,68629103,68655842,68776173,68821705,68991192,69091943,69124943,69142274,69674476,69854248,69870842,69914543,70004673,70274903,70598114,70666919,70895063,71057783,71090303,71557374,71666248,71739023,71868383,72030990,72050733,72350424,72513263,72545423,72930719,73114696,73121875,73410719,73706850,73838536,73899102,74215034,74503629,74694842,74903063,75312719,75407063,75846383,76408919,76502423,76833056,76875719,76998604,77185919,77264526,77418894,77615091,77711423,77742263,77803919,78019463,78275042,78480023,78586029,78620640,78749954,78958545,79080844,79091303,79588173,80092919,80482836,80624529,80653321,80905943,80995919,81196381,81355103,81384983,81394227,81653543,81822842,81980903,82254033,82404385,82586046,82713676,82780319,82998242,83068353,83310023,83862016,83945416,84041423,84222448,84266284,84448823,84488793,84743246,85187350,85258919,85345343,85804514,86208241,86437188,86542813,86654470,86848204,86874513,86888663,87115319,87199874,87313223,87664621,87746250,88185513,88324823,88448220,88464503,88821242,89215319,89277945,89513954,89822783,90134233,90371663,90808463,91188983,91351583,91584314,91675919,91756823,92165350,92267543,92428223,93015436,93596000,93624143,94039276,94333919,94344768,94386263,94438593,94747825,94750254,94870909,95008994,95013069,95111830,95193503,95229808,95413345,95812900,95813183,96018719,96095663,96143354,96657719,96919537,97089383,97795319,97870583,98401274,98594423,98619263,98717793,98842463,98885262,99011656,99483623,99649804,99897889,...,230545606938273474115771934666718127697971268851095378821299273066096672341090677418903615410088471503568106263969142236840133590254223843901867396112684634409037218900137433342666832693827174333336323141241826432349486745543842345906621344015401512227493888747062094035934526989843189178883122936681572748471748083135018053082875561636733278800332651024016747535068561982412108066369896493258022224462531462921303699362633787689581510298890389886578048430747378218267073598351892272648660521592065577872082618743089079546005350796611919419489169797055008005196454377240574116212791957275145968888583998737887335914448209546025275766923608276463824960790368340605868240673932398372057655969096208981034212658134517685337389530229935296457933094672763234567864381124083017853085544643667087913315645395908466558865068399118408821796700914449474046968855429698033504024332511096212378952825412087412101453197314020044515443909966475637403137919509688660663772356197354771030020283800062291028585088079101725863527675983747969584887452042903475937268140496775314791414306508596418963988135916427572126714991513971283747497851012216614513506461511164765812195256983604232595387730518131878446498100847286175726484410261097171681374617144794072184943891580781849031919503023114092493073445489348354720042327127958050615345749521639347115217258201884276531119420127912207504514499629828161905579215666370072563931271322645304471474484202996620258975981955310596359819614734587682236305015299738459436551353614150433995603956919875920422362357932014306651439638508763258871629345946837541998605237462404823129422422927757524396113449649592845383093843438863414498955629985630947505503203562066797346632254072462788347523400496922356062408341407292272301318168560390042888527550497350737411916095528629169549121710347832026253699084343745273184624766412736497282090955613958996709770562173154040646245333726181044534380494349008182101388787846357595747337711733311512103011276102633778580353477675706631549913196177995756094775794219148561397511791729387431223359112785363324547012736096327934441446011739490241817754889869214604366740634957019628515671490436824761660426975134568986924618305084412851379231761106325913829461888631067526744697980231490708908555381595437442460133473437804384226317397163638041515591365243409992382996043238545360571698000799005471343342934296286266654246044406846956508377752320942306754897012493200858314141193439598823403896763580019294267908981933370547191845549638436671611527222290244467440576387602059115929456317371738914507343301959948823619539293789925326142427869650502208558450185022212428059192200485635241683042120863912894300648373311604441804294373090244633881941061188871237909551075212221849182762275106272210621640064859917218569497490866238589633163782483444477526743225484241930142314106479809351786793629882759393980563254579954521084511121268611984494322052389334847152215797626494710417042887035686090970135416822063851720956599502854025212821155924913935390870842683051960457574744832376520897816543016561535708317395800301933387589115830120882835546552666061678274169012556537499503840756885593435202638022290312170550573011096925976885048449815654663229864323490924831406314981695967929359969528539915880391722864767885961108981456274260375296034183670901567175301964122292609531965438151105895647860065152287483819147940970707591371789040729928663184138416065543372817086294024780362029818601395681755334242830046450098209226540268505467991299551144614412960168786709146343134539563725238222169476114110912164313482350010884401561414278158719708444921524101479112160115941641056029158353192133832817142492818105881336102741815636362835231664976386202693434911278707815682561}
23425  95561055468326677657995627371161258275763257593252886523089851509801174600783: {351255,374672,421506,1614531,3112067,3715671,3954431,4445810,5334972,5568962,5811411,6229911,6692114,7066263,7689059,7955660,9153363,9546792,9973439,10740141,10984370,11054483,11325116,12456743,12704495,12906467,13063271,13181244,14247770,14700359,14791055,15245394,15376802,15834959,16209111,16428407,16663523,17034472,17097324,17459939,17568095,17749266,18272451,18437810,19163781,19292882,20705699,21080642,21081714,21966860,22107074,22125372,22148711,22414055,22621370,22650467,22814025,23962991,24269567,24334960,24485495,24838851,24911354,24942770,25864655,26360232,26411363,26471811,26790479,26896866,27025845,27112946,27145644,27180419,27376830,27561260,27694263,28138684,28827568,28914771,29065442,29201952,29382594,29398202,29579570,29655261,29710547,29931324,30607343,30944631,31037586,31054499,31176914,31755063,32053055,32173625,32185946,32357810,32362871,32431014,32852196,32969091,33073512,33324194,34670810,35013827,35495484,35794263,37171967,37207701,37482434,38439839,38463666,38608350,38608851,38732780,38829170,38829372,39010071,40129285,40198120,40258895,40552754,40704419,41182240,41522060,41604972,41689043,41715602,42157676,42302255,43083794,43153811,43662695,44122703,44363570,44604471,44649122,44965804,45222885,46200146,46330020,46479336,46592211,46595004,47057495,47782263,48155142,48237744,48248087,48310674,48450179,49418688,49826472,50010071,50124122,50339666,50551491,50762706,51797042,52289253,52395234,52470455,52649039,52775423,53102810,53166242,53236284,53492579,53659816,53854163,53964794,54267462,54448079,54468524,54881751,54984647,55062076,55596024,56039459,56054781,56172227,56272552,56468994,57187895,57327550,57812759,57912506,57947267,58149170,58395551,59575863,59979203,60367293,60569207,61122467,61170983,61431623,61522563,62056919,62348492,62545527,62656322,62707967,62952434,62964546,63306621,63463863,63640343,63723372,63784460,63975359,64238871,64608719,65489234,67224911,67228924,68100951,68446586,68625474,68793060,68989283,69255363,69576191,69769823,69779004,69903455,70054079,71168483,71469479,71865825,71912306,71998511,72006803,72911036,72930383,73228055,73379264,73406339,73452239,73554434,73694642,74368163,74648972,75364463,75365025,76095976,76417970,76541352,76656880,76691954,76901763,77661651,77782970,78332066,78516047,78995027,79288274,79557591,80056370,80389360,80750723,80931071,81173042,81825591,81896500,82293314,82551672,82552154,82781810,83207639,83326082,83591399,83884146,84497543,84748514,85122095,85190204,85352114,85588311,85607973,85699727,86109021,86238990,86338682,86635199,86871287,87093095,87317810,87573059,87873666,88102604,89135039,89142311,89491706,89582810,89923912,90438030,90648722,91325036,91393370,91512026,91701564,91988256,92298170,92870631,93048951,93339564,93884207,93989831,94311986,94537223,94725602,94915199,95214839,95409832,95435234,95991119,96041320,96067644,96248255,96467232,96923939,97527791,98219991,98275800,98532136,98741114,98851055,99317543,99322563,99338172,...,307394142584364632154362579555624170263961691801460505095065697421462229788120903225204820546784628671424141685292189649120178120338965125202489861483579512545382958533516577790222443591769565777781764188322435243132648994058456461208828458687202016303325184996082792047912702653124252238510830582242096997962330777513357404110500748848977705067110201365355663380091415976549477421826528657677362965950041950561738265816845050252775347065187186515437397907663170957689431464469189696864880695456087437162776824990785439394673801062149225892652226396073344006928605836320765488283722609700194625184778664983849781219264279394700367689231477701951766614387157787474490987565243197829410207958794945308045616877512690247116519373639913728610577459563684312757152508165444023804114059524889450551087527194544622078486757865491211762395601219265965395958473906264044672032443348128283171937100549449882801937596418693392687258546621967516537517226012918214218363141596473028040027045066749721371446784105468967818036901311663959446516602723871301249690853995700419721885742011461891951984181221903429502286655351961711663330468016288819351341948681553021082927009311472310127183640690842504595330801129714900968645880348129562241832822859725429579925188774375798709226004030818789990764593985797806293389769503944067487127666028852462820289677602512368708159226837216276672685999506437549207438954221826763418575028430193739295299312270662160345301309273747461813092819646116909648406687066317945915401804818867245327471942559834560563149810576019075535252851345017678495505794595783389331473649949873097505896563903676699194817932866123793844125124585151219331940839980841263340670938082755729795509672096617051130031200662563141416544455209723029735090891413853390518036733996467649882554794038172226065495613797109368338265445791660364246166355216981996376121274151945328946360749564205387528327111634908059379173992465344242801851717128476794329783615644415349470681701470178371440471303567608842066550928237327674793034392292198081863349055639183241631145483713817766062683648128437245921928015652653655757006519825619472488987513276026171354228653915766348880569300179425315899491073445883801838975681475101218439282518174756702326263973641987611878073842127249923280177964583739178968423196218184055354121820324546656510661390984727147428930667732007295124457245728381688872328059209129275344503669761256409006529349990934477752188257919465097871862351440025725690545309244494062922460732851248895482036296386992623254101850136078821239275089828985219343124402613265098159385725053233768189903826200669611411266913362949904078922933980846988910722827818550525734197831082139255739059164120326178509254748251828317212734766949629132243683033475029614162186753146556291425996654488318119510885043311259303368990967312322573523085475306412469049058173177012525307417672773272694779348161691482645992429403185779796202954396835326280556057182714248121293513889096085135627942132670472033617094874566551913854494456910735947276766326443168694530422057355415380944423194400402577850118821106827843780728736888082237698892016742049999338454342514124580270184029720416227400764014795901302513397933087539550973152431321233108541753308927957239146626038053221173855630486357181281478641941699013833728045578227868756233735952163056812709287250868141194197146753536383311758863921294276788495718720973238217578851221420724497089448392033040482706424801860909007112323773395266797612302053691340623988399401526152550613558382278861790846052751633650962892634818814549552417976466681179202081885704211626277926562032135305482880154588854741372211137589511777089523323757474508448136989087515150446975553301848270257913215038277087576748}
23426  95900888284518529653912082023437803800774472808335631276799414975064870935574: {327838,468340,562008,632259,2152708,2477326,3129838,3653233,4525438,4622173,4804126,4954228,5174269,5268286,5312113,5917438,6102766,6549469,6668715,7113296,7748548,8002458,8044846,8306548,8353443,8462653,8598769,9142513,9151438,9413953,9421684,9944575,9955969,10038171,10347646,10531438,10631869,11632846,11907838,11933490,12204484,12729056,13006366,13554766,14117533,14156395,14193838,14320188,14649469,14905163,15560638,16106353,16288126,16476555,16502173,16923838,16987674,17160433,17574992,17649406,17816893,18283438,19254769,19368526,19385053,19771866,19775473,19819966,19905469,20327192,21171886,21261886,21293090,21371655,21612148,22340638,22796432,22868091,23058526,23065203,23665688,23954446,24363268,25027438,25046269,25224122,25551708,25645986,25680769,25741486,26098126,26623899,27447793,27458575,27656715,27699838,27966286,28108952,28143838,28326013,28701313,28826269,28939323,29207806,29473438,29500496,30418700,30622846,30815773,31064206,31310269,31433713,31620963,31622571,32541469,32664193,32950290,33001438,33118468,33160611,33188058,33265006,33932055,34253053,34451575,35018446,35103553,35146976,35173355,35295748,35466973,35630638,35862488,36034460,36194192,36312433,36502440,36678286,36914173,36925684,37367031,37414155,37992769,38470273,38506126,38553028,38679838,38935936,39176792,39540348,39720766,39807406,39908432,40250653,40345299,40669419,40718466,41065245,41259508,41341890,41383448,41545969,42208026,42313006,42340084,42715969,43241352,43414513,43598163,43603726,43802928,43861438,43958788,44073891,44097303,44098016,44119006,44369355,44462206,44896986,45034369,45609469,46259806,46297213,46556379,46765371,46952339,47327312,47437693,47725684,48005233,48278919,48344893,48415975,48536715,48646521,49238483,49278294,49610268,49833838,49986291,50247650,51272446,51284888,51356926,51477800,51478468,51705853,51772496,51902575,52006215,52013428,52697095,53032093,53243226,54457153,54639166,55473296,55545073,55653469,56086333,56207255,56223651,56302333,56563438,57147406,57564046,57695499,57912525,58099170,58243755,58244058,58339969,59472628,59824753,60055486,60297180,60552046,60829131,61608733,61773360,61921393,61972448,62122948,62126672,62283090,62407458,62441053,62573403,62648413,62779438,63026206,63236514,63601438,63709684,64206856,64316992,64414232,64625691,64995166,65240638,65622769,65891584,66435296,66545355,66583979,66634369,66735133,66973683,67036366,67074770,67401988,67448706,67524766,67683608,67931326,68085655,68635969,68827595,69131869,69148606,69300219,69495030,69719004,69724573,69860312,69892506,70119838,70340690,70685326,70706653,70981712,71097469,71330638,71487133,71584369,72135838,72232713,72356616,72466011,72537838,72552769,73130353,73175668,73418173,73609693,73741438,74128032,74739708,74781646,74942269,75186183,75291992,75500206,75509499,76144059,76447933,76821469,76933438,77695563,77750269,77935615,78282286,78592851,78683423,78757246,79129969,79434484,79654215,79705438,79730575,79749363,79854426,80040769,80131453,80257486,80403073,80489724,80493838,80947191,81034333,81393469,81401193,81702786,81830446,82030084,82065838,82593114,82818493,83005966,83083633,83084206,83394036,83483603,83952728,84036155,84399613,84408828,84618484,84703491,84964496,85267933,85354369,85651828,85991325,86129053,86215619,86355838,86743438,86868759,87152893,87223755,88906606,89252593,89983486,90141947,90322043,90801268,90818269,90899953,91133806,91138795,91225969,91500632,91712833,91724080,91955293,92035969,92116573,92340484,92918653,93038672,93311215,93499726,93522738,93634369,93713533,93879886,93896642,93984483,94428651,94446819,94736113,94790638,94892353,95119970,95126173,95585058,95676690,95821100,95925838,96350387,96454366,97504369,97806193,97956673,98233851,98630269,99309838,99371869,...,461091213876546948231543869333436255395942537702190757642598546132193344682181354837807230820176943007136212527938284473680267180508447687803734792225369268818074437800274866685333665387654348666672646282483652864698973491087684691813242688030803024454987777494124188071869053979686378357766245873363145496943496166270036106165751123273466557600665302048033495070137123964824216132739792986516044448925062925842607398725267575379163020597780779773156096861494756436534147196703784545297321043184131155744165237486178159092010701593223838838978339594110016010392908754481148232425583914550291937777167997475774671828896419092050551533847216552927649921580736681211736481347864796744115311938192417962068425316269035370674779060459870592915866189345526469135728762248166035706171089287334175826631290791816933117730136798236817643593401828898948093937710859396067008048665022192424757905650824174824202906394628040089030887819932951274806275839019377321327544712394709542060040567600124582057170176158203451727055351967495939169774904085806951874536280993550629582828613017192837927976271832855144253429983027942567494995702024433229027012923022329531624390513967208465190775461036263756892996201694572351452968820522194343362749234289588144369887783161563698063839006046228184986146890978696709440084654255916101230691499043278694230434516403768553062238840255824415009028999259656323811158431332740145127862542645290608942948968405993240517951963910621192719639229469175364472610030599476918873102707228300867991207913839751840844724715864028613302879277017526517743258691893675083997210474924809646258844845855515048792226899299185690766187686877726828997911259971261895011006407124133594693264508144925576695046800993844712124816682814584544602636337120780085777055100994701474823832191057258339098243420695664052507398168687490546369249532825472994564181911227917993419541124346308081292490667452362089068760988698016364202777575692715191494675423466623024206022552205267557160706955351413263099826392355991512189551588438297122795023583458774862446718225570726649094025472192655868882892023478980483635509779738429208733481269914039257031342980873649523320853950269137973849236610168825702758463522212651827658923777262135053489395960462981417817110763190874884920266946875608768452634794327276083031182730486819984765992086477090721143396001598010942686685868592572533308492088813693913016755504641884613509794024986401716628282386879197646807793527160038588535817963866741094383691099276873343223054444580488934881152775204118231858912634743477829014686603919897647239078587579850652284855739301004417116900370044424856118384400971270483366084241727825788601296746623208883608588746180489267763882122377742475819102150424443698365524550212544421243280129719834437138994981732477179266327564966888955053486450968483860284628212959618703573587259765518787961126509159909042169022242537223968988644104778669694304431595252989420834085774071372181940270833644127703441913199005708050425642311849827870781741685366103920915149489664753041795633086033123071416634791600603866775178231660241765671093105332123356548338025113074999007681513771186870405276044580624341101146022193851953770096899631309326459728646981849662812629963391935858719939057079831760783445729535771922217962912548520750592068367341803134350603928244585219063930876302211791295720130304574967638295881941415182743578081459857326368276832131086745634172588049560724059637202791363510668485660092900196418453080537010935982599102289228825920337573418292686269079127450476444338952228221824328626964700021768803122828556317439416889843048202958224320231883282112058316706384267665634284985636211762672205483631272725670463329952772405386869822557415631365122}
23427  96241921711023571010616057001546298566425207087314901951667121481793456513605: {491757,585425,702510,749344,843012,2690885,3229062,3715989,4375613,4694757,6192785,6224134,6788157,7206189,7431342,7902429,7908862,8876157,8891620,9154149,9685685,10383185,10669944,11137924,11622822,11777105,12003687,12067269,12081773,12459822,13064389,13384228,13727157,14132526,15158693,15255605,15378118,15521469,15797157,15911320,16288193,16429813,17449269,17786293,17861757,17900235,18306726,19093584,19509549,19653329,19946878,20332149,20707477,21044657,21290757,21303029,21480282,21968740,22108966,22650232,22837133,23340957,24432189,24595333,24913486,25248917,25385757,25408990,25481511,25812934,26126542,26362488,26474109,27015185,27425157,27771473,28170173,28495540,29052789,29400718,29582110,29657799,29729949,30454085,30490788,30753604,31213429,31379677,31669918,31757829,31892829,31939635,32418222,32856814,32914397,33327046,33510957,34068944,34194648,34279693,34587789,34919878,35081453,35136190,35284673,35498532,35931669,36210517,36544902,36875620,37541157,37836183,38023375,38102789,38327562,38468979,38585764,38612229,39147189,39933029,41398085,41411398,41549757,41949429,42161284,42163428,42215757,42962173,43811709,43933720,44119685,44210157,44214148,44250744,44297422,44519789,44753537,44828110,44874277,44974253,45043075,45242740,45300934,45628050,45934269,46157105,46596309,47925982,48030293,48191285,48539134,48669920,48970990,49268869,49425435,49502157,49677702,49782087,49822708,49885540,49897509,50702609,51542597,51574385,51729310,51842333,52527669,52720464,52822726,52925105,52943622,53445957,53580958,53793732,54051690,54225892,54291288,54360838,54753660,54948485,55017429,55122520,55388526,56180999,56277368,56362453,56428013,57333917,57655136,57759189,57829542,57902933,58019757,58107557,58130884,58403904,58765188,58796404,59159140,59223157,59310522,59421094,59581149,59657105,59711109,59862648,60533309,61077699,61127773,61214686,61453429,61889262,62012835,62075172,62108998,62353828,63312039,63469509,63510126,63645829,64106110,64347250,64348085,64371892,64669133,64715620,64725742,64862028,65016785,65405589,65470493,65508689,65704392,65792157,65880493,65938182,66147024,66178509,66648388,66693309,67345479,68138053,68236913,69341620,69357733,69389709,70027654,70990968,71588526,72271973,72601009,73173229,73458637,73917441,74340785,74343934,74374549,74415402,74750757,74964868,75371475,76879678,76908669,76927332,77035389,77216700,77217702,77465560,77653685,77658340,77658744,78020142,79637105,79864839,79877653,80063053,80258570,80396240,80517790,80546213,81105508,81408838,81532789,81958749,82364480,83044120,83209944,83378086,83431204,83598577,84252485,84315352,84604510,84845157,85010753,85098949,85721109,86167588,86307622,86346069,87148755,87325390,87366087,87753229,88245406,88727140,89208942,89298244,89553629,89931608,90083229,90445770,90828069,90881597,91052093,91469585,91610053,92400292,92660040,92958672,92996773,93184422,93190008,93424635,93611187,94114990,94169157,94539309,94854771,95402157,95564526,96310284,96475488,96496174,96621348,96900358,97426253,97492749,97591133,97860957,97864837,98532533,98819453,98837376,99293105,99652944,...,691636820814820422347315804000154383093913806553286136463897819198290017023272032256710846230265414510704318791907426710520400770762671531705602188338053903227111656700412300028000498081481523000008969423725479297048460236631527037719864032046204536682481666241186282107803580969529567536649368810044718245415244249405054159248626684910199836400997953072050242605205685947236324199109689479774066673387594388763911098087901363068744530896671169659734145292242134654801220795055676817945981564776196733616247856229267238638016052389835758258467509391165024015589363131721722348638375871825437906665751996213662007743344628638075827300770824829391474882371105021817604722021797195116172967907288626943102637974403553056012168590689805889373799284018289703703593143372249053559256633931001263739946936187725399676595205197355226465390102743348422140906566289094100512072997533288637136858476236262236304359591942060133546331729899426912209413758529065981991317068592064313090060851400186873085755264237305177590583027951243908754662356128710427811804421490325944374242919525789256891964407749282716380144974541913851242493553036649843540519384533494297436585770950812697786163191554395635339494302541858527179453230783291515044123851434382216554831674742345547095758509069342277479220336468045064160126981383874151846037248564918041345651774605652829593358260383736622513543498889484485716737646999110217691793813967935913414423452608989860776927945865931789079458844203763046708915045899215378309654060842451301986811870759627761267087073796042919954318915526289776614888037840512625995815712387214469388267268783272573188340348948778536149281530316590243496866889956892842516509610686200392039896762217388365042570201490767068187225024221876816903954505681170128665582651492052212235748286585887508647365131043496078761097253031235819553874299238209491846272866841876990129311686519462121938736001178543133603141483047024546304166363539072787242013135199934536309033828307901335741060433027119894649739588533987268284327382657445684192535375188162293670077338356089973641038208288983803324338035218470725453264669607643813100221904871058885547014471310474284981280925403706960773854915253238554137695283318977741488385665893202580234093940694472126725666144786312327380400420313413152678952191490914124546774095730229977148988129715636081715094002397016414030028802888858799962738133220540869525133256962826920264691037479602574942423580318796470211690290740057882803726945800111641575536648915310014834581666870733402321729162806177347788368952115216743522029905879846470858617881369775978427283608951506625675350555066637284177576601456905725049126362591738682901945119934813325412883119270733901645823183566613713728653225636665547548286825318816631864920194579751655708492472598715768899491347450333432580229676452725790426942319439428055360380889648278181941689763739863563253533363805835953482966157168004541456647392879484131251128661107058272910406250466191555162869798508562075638463467774741806172612528049155881372724234497129562693449629049684607124952187400905800162767347490362648506639657998185034822507037669612498511522270656780305607914066870936511651719033290777930655145349446963989689592970472774494218944945087903788079908585619747641175168594303657883326944368822781125888102551012704701525905892366877828595896314453317686943580195456862451457443822912122774115367122189785989552415248196630118451258882074341086089455804187045266002728490139350294627679620805516403973898653433843238880506360127439029403618691175714666508428342332736492940447050032653204684242834476159125334764572304437336480347824923168087475059576401498451427478454317644008308225446909088505694994929158608080304733836123447047683}
23428  96584159961784451541505342707297708479450847451339855215798170897834310219579: {257587,655676,678571,936680,1053765,1124016,1264518,1378771,1658347,2077171,2356027,2495347,3051907,3190867,3468571,4305416,4843593,4954652,5266627,5542171,6229771,6259676,7189387,7306466,8009107,8962171,9050876,9233827,9244346,9336201,9608252,9908456,10348538,10536572,10624226,10722787,11114525,11147013,11262067,11834876,11863293,11934547,12205532,12739147,13006771,13098938,13337430,13922405,14074387,14226592,14606467,15004771,15402427,15497096,15931627,16004916,16089692,16327771,16613096,16706886,16730285,16925306,17197538,17434233,18285026,18298771,18302876,18689733,18827906,18843368,19343347,19818953,19889150,19911938,19993867,20076342,20695292,21062876,21198789,21263738,21289507,22834771,23067177,23091307,23265692,23731387,23815676,23866980,24408968,25458112,25640827,26012732,26273707,27109532,27460089,27460925,28235066,28312790,28387676,28640376,29161771,29298938,29810326,29920317,30033187,31121276,31888627,32212706,32220423,32576252,32871571,32953110,33004346,33163449,33847676,33975348,34320866,35066347,35149984,35298812,35619425,35633786,36566876,37370229,38113485,38442005,38509538,38719401,38737052,38770106,39148387,39189813,39543732,39550946,39639932,39810938,40333147,40654384,41040547,42343772,42523772,42586180,42743310,43224296,43379827,44101077,44373165,44423107,44538667,44681276,45000187,45592864,45736182,46094525,46117052,46130406,46834747,47331376,47404267,47504877,47908892,48232205,48627333,48726536,49242697,49285221,49327171,49990569,50054876,50092538,50448244,50671987,50783587,51103416,51291972,51340507,51361538,51482972,52196252,52379817,52701605,52704285,52890307,53220571,53247798,53769571,54535147,54817353,54895586,54917150,55188547,55267685,55313430,55399676,55932572,56163787,56217904,56287676,56553425,56652026,57402626,57491343,57562171,57652538,57776227,57878646,58415612,58946876,59000992,59160571,60837400,61245692,61631546,62117097,62128412,62278385,62356925,62620538,62867426,63241926,63245142,64166587,64882771,65082938,65328386,65595427,65900580,66002876,66236936,66321222,66376116,66405571,66446133,66530012,67242165,67782365,67864110,67951401,68211547,68442075,68506106,68903150,68907571,69204787,69600067,70036892,70207106,70293952,70346710,70387171,70591496,70933946,71261276,71724976,71888973,72068920,72388384,72624427,72624866,72663605,72808701,73004880,73009627,73297771,73356572,73456485,73495505,73775933,73828346,73851368,73948925,74062987,74516553,74734062,74828310,75391027,75985538,76940546,77012252,77106056,77359676,77593965,77727427,77819947,77871872,77942285,78353584,78465571,78690157,79080696,79234089,79415433,79441532,79614812,79655227,79816864,79837171,80371437,80464865,80501306,80690598,80894525,81012787,81077535,81338838,81436932,81541257,81819547,82087171,82130490,82519016,82683780,82766896,82974571,83082789,83091938,83310485,83591467,83679307,84416052,84626012,84680168,84901507,85420987,85431938,86482704,86677025,86744313,86829026,87196326,87207452,87605856,87722876,87726571,87917576,88147782,88194606,88196032,88238012,88738710,88924412,88965783,89131641,89793972,90068738,90637171,91218938,91695787,91822029,92519612,92594426,92833893,93112758,93163497,93300667,93459571,93530742,93706085,93904678,94406947,94654624,94875386,95265189,95266267,95319917,95451368,95808571,96010466,96039907,96159165,96193771,96358633,96520875,96557838,96689786,96730027,96831950,97072925,97073430,97088613,97110907,97186867,97293042,97867267,98242747,98476966,98556588,98690947,98839771,98907273,99220536,99667676,99726667,99972582,...,922182427753093896463087738666872510791885075404381515285197092264386689364362709675614461640353886014272425055876568947360534361016895375607469584450738537636148875600549733370667330775308697333345292564967305729397946982175369383626485376061606048909975554988248376143738107959372756715532491746726290993886992332540072212331502246546933115201330604096066990140274247929648432265479585973032088897850125851685214797450535150758326041195561559546312193722989512873068294393407569090594642086368262311488330474972356318184021403186447677677956679188220032020785817508962296464851167829100583875554335994951549343657792838184101103067694433105855299843161473362423472962695729593488230623876384835924136850632538070741349558120919741185831732378691052938271457524496332071412342178574668351653262581583633866235460273596473635287186803657797896187875421718792134016097330044384849515811301648349648405812789256080178061775639865902549612551678038754642655089424789419084120081135200249164114340352316406903454110703934991878339549808171613903749072561987101259165657226034385675855952543665710288506859966055885134989991404048866458054025846044659063248781027934416930381550922072527513785992403389144702905937641044388686725498468579176288739775566323127396127678012092456369972293781957393418880169308511832202461382998086557388460869032807537106124477680511648830018057998519312647622316862665480290255725085290581217885897936811986481035903927821242385439278458938350728945220061198953837746205414456601735982415827679503681689449431728057226605758554035053035486517383787350167994420949849619292517689691711030097584453798598371381532375373755453657995822519942523790022012814248267189386529016289851153390093601987689424249633365629169089205272674241560171554110201989402949647664382114516678196486841391328105014796337374981092738499065650945989128363822455835986839082248692616162584981334904724178137521977396032728405555151385430382989350846933246048412045104410535114321413910702826526199652784711983024379103176876594245590047166917549724893436451141453298188050944385311737765784046957960967271019559476858417466962539828078514062685961747299046641707900538275947698473220337651405516927044425303655317847554524270106978791920925962835634221526381749769840533893751217536905269588654552166062365460973639969531984172954181442286792003196021885373371737185145066616984177627387826033511009283769227019588049972803433256564773758395293615587054320077177071635927733482188767382198553746686446108889160977869762305550408236463717825269486955658029373207839795294478157175159701304569711478602008834233800740088849712236768801942540966732168483455651577202593493246417767217177492360978535527764244755484951638204300848887396731049100425088842486560259439668874277989963464954358532655129933777910106972901936967720569256425919237407147174519531037575922253018319818084338044485074447937977288209557339388608863190505978841668171548142744363880541667288255406883826398011416100851284623699655741563483370732207841830298979329506083591266172066246142833269583201207733550356463320483531342186210664246713096676050226149998015363027542373740810552089161248682202292044387703907540193799262618652919457293963699325625259926783871717439878114159663521566891459071543844435925825097041501184136734683606268701207856489170438127861752604423582591440260609149935276591763882830365487156162919714652736553664262173491268345176099121448119274405582727021336971320185800392836906161074021871965198204578457651840675146836585372538158254900952888677904456443648657253929400043537606245657112634878833779686096405916448640463766564224116633412768535331268569971272423525344410967262545451340926659905544810773739645114831262730244}
23429  96927607265437227314255863917449852164585558670568051239096925746964353128274: {819595,983514,1170850,1405020,1498688,1686024,1896777,3767239,4890391,5171179,5381770,6193315,6458124,7431978,7824595,8669899,8751226,9389514,10959699,11313595,12010315,12082807,12385570,12448268,13170715,13559959,13576314,13866519,14278459,14412378,14536459,14793595,14862684,15256915,15522807,15672547,15804858,15817724,15936339,16289587,16487947,17082739,17752314,17783240,17914819,18204451,18308298,19371370,19648407,19655011,19887019,20006145,20112115,20281591,20766370,21008731,21339888,21357847,22275848,22878595,23245644,23520499,23554210,24007374,24134538,24163546,24883507,24919644,25060329,25176307,25387959,25796307,25869115,26128778,26328595,26768456,26989339,27427539,27437047,27454314,28241859,28265052,28963699,29082115,29126179,29686747,29769595,29833725,29867907,30114513,30317386,30511210,30756236,31042938,31336219,31484311,31594314,31822640,31895607,32515915,32537527,32576386,32859626,33886915,34898538,35484595,35572586,35593591,35723514,35800470,35965399,36613452,36786679,37821259,38137891,38187168,38901595,39019098,39176107,39306658,39435811,39893756,40024987,40664298,40720315,41286691,41414954,41459899,42089314,42309595,42352599,42385159,42469185,42581514,42606058,42635719,42687031,42712087,42960564,43937480,43948407,44123515,44217932,44715489,45300464,45336019,45674266,45708595,45767779,46681914,47168119,48319059,48421315,48799927,48864378,49190666,49383259,49429665,49506519,49549915,49826972,50018659,50497834,50771514,50817980,50935939,50963022,51342727,51481299,51625868,52253084,52724976,52929715,52948218,53154715,53175907,53232725,53428411,53450679,54030370,54850314,55542946,55851595,56340346,56991080,57646315,57764307,57941431,57957319,58105578,58155159,58340827,58405579,58413091,58801436,59164220,59180599,59315598,59326419,59459898,59716407,59886115,60165691,60538507,60908170,60981576,61264267,61507208,61767559,62426858,62568595,62759354,63060305,63339836,63515658,63785658,63879270,63964087,64062787,64114965,64353715,64619947,64836444,65245315,65713628,65828794,66654092,66861307,67021914,67467799,67997959,68137888,68389296,68430739,68559386,68604273,69175578,69195609,69249595,69588139,69839756,69915715,70162906,70272380,70359595,70569346,70997064,71863338,72204139,72278179,72421034,72942907,73019515,73089804,73320619,73622851,73683595,73751240,74095147,75082314,75138807,75672366,76046750,76205578,76557115,76655124,76927879,76937958,77042307,77171528,77224458,77256247,77374219,77660515,77788807,78294378,79866058,79871697,81145591,82343379,82375725,82503595,82796170,82822796,82970145,83099514,83162515,83221987,83519947,83898858,84059767,84322568,84326856,84431514,84978039,85561267,85924346,86103939,86478807,86817969,87038467,87546115,87623418,87867440,87909499,88062007,88239370,88398931,88420314,88428296,88501488,88594844,89039578,89076595,89157619,89507074,89656220,89748554,89948506,90086150,90087319,90485480,90601868,91023499,91059991,91256100,91695715,91868538,92314210,92447319,92628307,93192618,93930807,94151899,94301139,94862889,94867713,95190979,95625559,95851964,96049591,96060586,96265315,96382570,96699595,97078268,97329499,97339840,97434619,97544539,97624407,97941980,97992579,98537738,98541091,98850870,99004314,99301915,99355404,99481833,99518515,99564174,99645416,99771080,99795018,...,1383273641629640844694631608000308766187827613106572272927795638396580034046544064513421692460530829021408637583814853421040801541525343063411204376676107806454223313400824600056000996162963046000017938847450958594096920473263054075439728064092409073364963332482372564215607161939059135073298737620089436490830488498810108318497253369820399672801995906144100485210411371894472648398219378959548133346775188777527822196175802726137489061793342339319468290584484269309602441590111353635891963129552393467232495712458534477276032104779671516516935018782330048031178726263443444697276751743650875813331503992427324015486689257276151654601541649658782949764742210043635209444043594390232345935814577253886205275948807106112024337181379611778747598568036579407407186286744498107118513267862002527479893872375450799353190410394710452930780205486696844281813132578188201024145995066577274273716952472524472608719183884120267092663459798853824418827517058131963982634137184128626180121702800373746171510528474610355181166055902487817509324712257420855623608842980651888748485839051578513783928815498565432760289949083827702484987106073299687081038769066988594873171541901625395572326383108791270678988605083717054358906461566583030088247702868764433109663349484691094191517018138684554958440672936090128320253962767748303692074497129836082691303549211305659186716520767473245027086997778968971433475293998220435383587627935871826828846905217979721553855891731863578158917688407526093417830091798430756619308121684902603973623741519255522534174147592085839908637831052579553229776075681025251991631424774428938776534537566545146376680697897557072298563060633180486993733779913785685033019221372400784079793524434776730085140402981534136374450048443753633807909011362340257331165302984104424471496573171775017294730262086992157522194506062471639107748598476418983692545733683753980258623373038924243877472002357086267206282966094049092608332727078145574484026270399869072618067656615802671482120866054239789299479177067974536568654765314891368385070750376324587340154676712179947282076416577967606648676070436941450906529339215287626200443809742117771094028942620948569962561850807413921547709830506477108275390566637955482976771331786405160468187881388944253451332289572624654760800840626826305357904382981828249093548191460459954297976259431272163430188004794032828060057605777717599925476266441081739050266513925653840529382074959205149884847160637592940423380581480115765607453891600223283151073297830620029669163333741466804643458325612354695576737904230433487044059811759692941717235762739551956854567217903013251350701110133274568355153202913811450098252725183477365803890239869626650825766238541467803291646367133227427457306451273331095096573650637633263729840389159503311416984945197431537798982694900666865160459352905451580853884638878856110720761779296556363883379527479727126507066727611671906965932314336009082913294785758968262502257322214116545820812500932383110325739597017124151276926935549483612345225056098311762745448468994259125386899258099369214249904374801811600325534694980725297013279315996370069645014075339224997023044541313560611215828133741873023303438066581555861310290698893927979379185940945548988437889890175807576159817171239495282350337188607315766653888737645562251776205102025409403051811784733755657191792628906635373887160390913724902914887645824245548230734244379571979104830496393260236902517764148682172178911608374090532005456980278700589255359241611032807947797306867686477761012720254878058807237382351429333016856684665472985880894100065306409368485668952318250669529144608874672960695649846336174950119152802996902854956908635288016616450893818177011389989858317216160609467672246894095366}
23430  97272267865362258717601416943841868733034657854157343634260985052323895013429: {304421,515174,725369,1311352,1357142,1378889,1425509,1475271,1705061,1756275,1873360,2107530,2248032,2263301,2402681,2529036,2541989,2757542,3191141,3237449,3316694,3515129,4154342,4161929,4712054,4990694,5267081,5313029,5404901,5588549,5955461,6092921,6103814,6276089,6381734,6937142,7235621,7645769,8055269,8072655,8282489,8464121,8600261,8610832,8962949,9234629,9415589,9641609,9687186,9909304,10498661,10533254,10723721,11084342,11147967,11173241,11666789,11980361,12459542,12519352,13007909,13052489,13126839,13186181,13986821,14084271,14120009,14378774,14612932,14652041,14740601,14873381,15050309,15560335,15712649,16018214,16109189,16636901,16768649,17031929,17251109,17820041,17924342,18101752,18300389,18344009,18467654,18488692,18578355,18672402,19216504,19345061,19388489,19475321,19491367,19772155,19816912,19865669,19995641,20364471,20687609,20697076,20903429,21073144,21248452,21291401,21445574,21618567,21936581,22065401,22229050,22294026,22365701,22524134,22879589,23136101,23264249,23422399,23477669,23669752,23707287,23726586,23733509,23776121,23869094,24286841,24411064,25050761,25478294,25643129,25685381,26013542,26065289,26197876,26628471,26674860,26697029,27452741,27462447,27844810,27913289,28148774,28289381,28414601,28453184,28706501,28789829,28914761,29057055,29164409,29205989,29212934,30009542,30160121,30804854,30821369,30994192,31149555,31398281,31521701,31645049,31863254,31932581,32009832,32179384,32629241,32655542,32751941,33226192,33413772,33460570,33850612,33893669,34096889,34259321,34340489,34395076,34502729,34868466,35109989,35190821,35331315,35473481,36011061,36077861,36198521,36201807,36245319,36570052,36597542,36605752,36800741,37379466,37655812,37686736,37880201,38445295,38596601,38686694,39193167,39547769,39637906,39778300,39823876,39987734,40139909,40152684,40258121,40336889,40376261,40926629,41044361,41162021,41181471,41390584,41514569,41866469,42125752,42397578,42527476,42579014,42801701,43073609,43422629,43616249,43886981,44465801,44581349,45004409,45042821,45476079,45669542,45766815,45809381,45962309,46134354,46182614,46531384,46564407,46763081,47391471,47408741,47446649,47462774,47522441,47631352,47673929,47733960,47976521,48089861,48240869,48354041,48768389,48817936,48864579,49289439,49369349,49867195,49930889,50453369,50676809,50788421,50916224,51281654,51345401,51715721,52025464,52347807,52547414,52895369,53115641,53262329,53358879,53372261,53585271,53700705,53818807,54219064,54540389,54920178,54921850,55193861,55230089,55272415,55447289,55555781,55664201,55736441,55952969,56169209,56205221,56470132,56625580,56775352,56852069,57174521,57280752,57567749,57603449,57817481,58102409,58323542,58422341,58528647,58597876,58959987,59166329,59307641,59484101,59620652,59695589,59840634,60066374,60468581,60996447,61272569,61620809,61690361,61933541,62002949,62122431,62242552,62283715,62349509,62729801,62833349,63133971,63522475,63777254,63872271,63909087,64207109,64412069,64425412,64440846,64532335,65152504,65229029,65316355,65635781,65703461,65743142,65906220,66008692,66326898,66445829,66546761,66647621,66815561,66916229,67418489,67525087,67695352,67950696,68218361,68511399,68641732,68649701,69046661,69211721,69244709,69935609,70022871,70034021,70132694,70299968,70394249,70426949,70597624,71238850,71267572,71663621,71987141,72535289,72631781,72856649,73133752,73296567,73501795,73528901,73782247,73785999,73955275,74102309,74740458,74925989,75115301,75335801,75430181,75746751,75806981,75994949,76157271,76226970,76444533,76525961,76619429,76884010,76899401,77019076,77209721,77374759,77438802,77474104,77540212,77550149,77735429,77766281,77827961,77920421,78135881,78296774,78379626,78473669,78504329,78596261,79087464,79101892,79174795,79279864,79420409,79422327,79621876,79693829,80117861,80666294,80931209,81021221,81045555,81051209,81308768,81857861,82081094,82095749,82142035,82275471,82983269,83101061,83314419,83317615,84038789,84475529,84510519,84562661,84687544,84939401,85047544,85172360,85372421,85430021,85458809,85486620,86061509,86448592,86489849,86759654,87143141,87158367,87189739,87228041,87299695,87425861,87651461,87840475,88202154,88437029,88743929,88746330,88846214,88855289,88973397,89077334,89189847,89327141,89362552,89603621,90000374,90482981,90646949,90919589,91185728,91299941,91362255,91472364,91732709,91786661,91975241,92189050,92190281,92234104,92260812,92832329,92938889,93178181,93496229,93640287,93669494,93734009,94139031,94521929,94662752,94756901,94808534,94895311,95009754,95198969,95273487,95587109,95678487,95817784,95818905,95844869,96050501,96127481,96204389,96464410,96511301,97121669,97197641,97254666,97453072,97576421,97878149,97903241,97978469,98253689,98485394,98570442,98627429,98654342,98701961,98743191,98850809,98875589,98949881,99737849,99981138,...,2074910462444461267041947412000463149281741419659858409391693457594870051069816096770132538690796243532112956375722280131561202312288014595116806565014161709681334970101236900084001494244444569000026908271176437891145380709894581113159592096138613610047444998723558846323410742908588702609948106430134154736245732748215162477745880054730599509202993859216150727815617057841708972597329068439322200020162783166291733294263704089206233592690013508979202435876726403964403662385167030453837944694328590200848743568687801715914048157169507274775402528173495072046768089395165167045915127615476313719997255988640986023230033885914227481902312474488174424647113315065452814166065391585348518903721865880829307913923210659168036505772069417668121397852054869111110779430116747160677769901793003791219840808563176199029785615592065679396170308230045266422719698867282301536218992599865911410575428708786708913078775826180400638995189698280736628241275587197945973951205776192939270182554200560619257265792711915532771749083853731726263987068386131283435413264470977833122728758577367770675893223247848149140434923625741553727480659109949530621558153600482892309757312852438093358489574663186906018482907625575581538359692349874545132371554303146649664495024227036641287275527208026832437661009404135192480380944151622455538111745694754124036955323816958488780074781151209867540630496668453457150212940997330653075381441903807740243270357826969582330783837597795367238376532611289140126745137697646134928962182527353905960435612278883283801261221388128759862956746578869329844664113521537877987447137161643408164801806349817719565021046846335608447844590949770730490600669870678527549528832058601176119690286652165095127710604472301204561675072665630450711863517043510385996747954476156636707244859757662525942095393130488236283291759093707458661622897714628475538818600525630970387935059558386365816208003535629400809424449141073638912499090617218361726039405599803608927101484923704007223181299081359683949218765601961804852982147972337052577606125564486881010232015068269920923114624866951409973014105655412176359794008822931439300665714613176656641043413931422854943842776211120882321564745759715662413085849956933224465156997679607740702281822083416380176998434358936982141201260940239458036856574472742373640322287190689931446964389146908245145282007191049242090086408666576399888214399661622608575399770888480760794073112438807724827270740956389410635070872220173648411180837400334924726609946745930044503745000612200206965187488418532043365106856345650230566089717639539412575853644109327935281850826854519877026051665199911852532729804370717175147379087775216048705835359804439976238649357812201704937469550699841141185959676909996642644860475956449895594760583739254967125477417796147306698474042351000297740689029358177371280826958318284166081142668944834545825069291219590689760600091417507860448898471504013624369942178638452393753385983321174818731218751398574665488609395525686226915390403324225418517837584147467644118172703491388688080348887149053821374856562202717400488302042471087945519918973994555104467521113008837495534566811970340916823742200612809534955157099872333791965436048340891969068778911418323482656834835263711364239725756859242923525505782910973649980833106468343377664307653038114104577717677100633485787688943359953060830740586370587354372331468736368322346101366569357968657245744589890355353776646223023258268367412561135798008185470418050883883038862416549211921695960301529716641519080382317088210856073527143999525285026998209478821341150097959614052728503428477376004293716913312009441043474769504262425178729204495354282435362952932024924676340727265517084984787475824240914201508370341143049}
23431  97618146019735283683196709519750042555233172409338661017615938270271995758405: {23431,772761,1147433,1639190,1967028,2035713,2341700,2810040,2997376,3161295,3372048,3793554,4136313,4975041,5779553,6231513,7068081,7486041,7534478,8670641,9155721,9572601,9780782,10342358,10405713,10763540,10954433,12386630,12916248,14279681,14530779,14863956,15649190,15799881,15839033,16626513,16814441,17084201,17339798,17502452,18206009,18266165,18439001,18522101,18689313,18779028,19092473,19888721,20711033,21010529,21359681,21568161,21919398,22457609,22627190,23110865,23969153,24020630,24027321,24165614,24771140,24896536,25871345,26341430,26560565,26886513,27119918,27152628,27701481,27733038,27949889,28008603,28156961,28556918,28824756,29072918,29407781,29587190,29725368,30513830,31045614,31134881,31345094,31609716,31635448,31872678,31975733,32030033,32168361,32371193,32425601,32540321,32579174,32747345,32975894,33343575,33441039,33786201,34165478,35022833,35504628,35566480,35589879,35803641,35829638,36216761,36408902,36616596,36860033,38217441,38453441,38649809,38742740,39020313,39296814,39310022,39774038,40012290,40224230,40563182,40714961,40817561,41532740,41677433,41767215,42017462,42065153,42223161,42313265,42679776,42715694,42993845,43819401,44134049,44551696,44733809,45014313,45072053,45522281,45712565,45757190,46207281,46491288,47040998,47069765,47108420,47441681,47794881,48014748,48269076,48327092,48462641,48983313,49310921,49678433,49722875,49767014,49779845,49839288,50120658,50190855,50352614,50477921,50775918,51592614,51738230,52006841,52257556,52302699,52657190,52662581,52789001,53159345,53536912,53868089,53978678,54462233,54855078,54874094,54896313,54908628,56069199,56483718,56530104,56902241,57008441,57113129,57672641,57827633,57927398,58030041,58164230,58252358,59233433,59373494,59456859,59539190,59667450,59735814,59981601,60229026,60634772,61022420,61186721,61512472,61772921,62085876,62672438,62968622,62990021,63188628,63596367,63645280,63791214,63868521,63992033,64315049,64428521,65031830,65075054,65152772,65719252,67187801,67773830,67789841,68504313,69033653,69201531,69273921,69369881,69797076,70516721,70587665,70781975,70969190,71145172,71187182,71194161,71447028,71588081,71600940,71930798,73226904,73247345,73573358,73629173,74101601,74387321,74390993,74416601,74525815,75504329,75593921,75642518,76275782,76374336,76922481,77262881,77803190,78038196,78192233,78352214,78613316,78700289,78821121,78871622,79787512,79980041,80049974,80531765,80704841,81328596,81440630,82380267,82382775,82510865,82573382,82777361,82829908,82919798,83229161,83612933,83840561,83896289,83959361,84178628,84619190,84705198,84770318,84938370,85163028,85212116,85271438,85374062,85424174,85802165,85921128,87045941,87485313,87596033,87874960,87896814,88247030,88284427,88435864,88569569,88762001,89084465,89430978,89760951,90095201,90099561,90600928,90672038,91343441,91348532,91417190,91535558,92636261,93012809,93064961,93363828,94336238,94495409,94939781,95665881,96057929,96273845,96638118,96661269,96694001,96842630,96925265,96949433,97146761,97599854,97728756,97882001,98251793,98381332,98503433,98614713,98766518,98859330,98877365,99013038,99099830,99343361,99490347,99527345,99653944,...,2766547283259281689389263216000617532375655226213144545855591276793160068093088129026843384921061658042817275167629706842081603083050686126822408753352215612908446626801649200112001992325926092000035877694901917188193840946526108150879456128184818146729926664964745128431214323878118270146597475240178872981660976997620216636994506739640799345603991812288200970420822743788945296796438757919096266693550377555055644392351605452274978123586684678638936581168968538619204883180222707271783926259104786934464991424917068954552064209559343033033870037564660096062357452526886889394553503487301751626663007984854648030973378514552303309203083299317565899529484420087270418888087188780464691871629154507772410551897614212224048674362759223557495197136073158814814372573488996214237026535724005054959787744750901598706380820789420905861560410973393688563626265156376402048291990133154548547433904945048945217438367768240534185326919597707648837655034116263927965268274368257252360243405600747492343021056949220710362332111804975635018649424514841711247217685961303777496971678103157027567857630997130865520579898167655404969974212146599374162077538133977189746343083803250791144652766217582541357977210167434108717812923133166060176495405737528866219326698969382188383034036277369109916881345872180256640507925535496607384148994259672165382607098422611318373433041534946490054173995557937942866950587996440870767175255871743653657693810435959443107711783463727156317835376815052186835660183596861513238616243369805207947247483038511045068348295184171679817275662105159106459552151362050503983262849548857877553069075133090292753361395795114144597126121266360973987467559827571370066038442744801568159587048869553460170280805963068272748900096887507267615818022724680514662330605968208848942993146343550034589460524173984315044389012124943278215497196952837967385091467367507960517246746077848487754944004714172534412565932188098185216665454156291148968052540799738145236135313231605342964241732108479578598958354135949073137309530629782736770141500752649174680309353424359894564152833155935213297352140873882901813058678430575252400887619484235542188057885241897139925123701614827843095419661012954216550781133275910965953542663572810320936375762777888506902664579145249309521601681253652610715808765963656498187096382920919908595952518862544326860376009588065656120115211555435199850952532882163478100533027851307681058764149918410299769694321275185880846761162960231531214907783200446566302146595661240059338326667482933609286916651224709391153475808460866974088119623519385883434471525479103913709134435806026502701402220266549136710306405827622900196505450366954731607780479739253301651532477082935606583292734266454854914612902546662190193147301275266527459680778319006622833969890394863075597965389801333730320918705810903161707769277757712221441523558593112727766759054959454253014133455223343813931864628672018165826589571517936525004514644428233091641625001864766220651479194034248302553853871098967224690450112196623525490896937988518250773798516198738428499808749603623200651069389961450594026558631992740139290028150678449994046089082627121222431656267483746046606876133163111722620581397787855958758371881891097976875779780351615152319634342478990564700674377214631533307777475291124503552410204050818806103623569467511314383585257813270747774320781827449805829775291648491096461468488759143958209660992786520473805035528297364344357823216748181064010913960557401178510718483222065615895594613735372955522025440509756117614474764702858666033713369330945971761788200130612818736971337904636501339058289217749345921391299692672349900238305605993805709913817270576033232901787636354022779979716634432321218935344493788190732}
23432  97965246001578666661367697408410052377090526001506034290537990105140327683038: {608842,1030348,1425631,1450738,2458785,2622704,2714284,2757778,2851018,2927125,2950542,3237727,3410122,3512550,3746720,3792847,4208431,4215060,4496064,4526602,4805362,5058072,5083978,5175607,5313487,5515084,5690331,6382282,6474898,6633388,7030258,8308684,8323858,8601007,8737087,9424108,9687631,9981388,10093927,10534162,10626058,10809802,11177098,11301717,11910922,12185842,12207628,12552178,12763468,13053631,13454425,13874284,14471242,14671173,15291538,15513537,15714031,16110538,16145310,16564978,16638367,16928242,17200522,17221664,17925898,18345631,18469258,18579945,18831178,19283218,19374372,19390207,19818608,19910767,20997322,21066508,21447442,21784469,21878065,22168684,22239031,22295934,22346482,23333578,23473785,23522431,23778247,23960722,24919084,25038704,25180087,25687687,26009697,26015818,26104978,26253678,26372362,27681017,27973642,28168542,28240018,28333687,28757548,28834087,29208631,29225864,29304082,29481202,29746762,30100618,30452431,30963925,31120670,31144069,31425298,31442287,32036428,32218378,32304631,32673127,32879097,33273802,33537298,33940785,34063858,34502218,35640082,35848684,36030945,36203504,36248421,36600778,36688018,36804127,36935308,36977384,37156710,37344804,38122807,38433008,38600167,38690122,38776978,38950642,38982734,39512145,39544310,39551431,39633824,39731338,39991282,40380007,40679877,40728942,41375218,41394152,41557567,41599557,41806858,41909431,42146288,42496904,42582802,42835377,42844567,42891148,43237134,43609377,43873162,43891087,44130802,44380785,44458100,44588052,44731402,45047047,45048268,45759178,45770745,46272202,46528498,46568421,46844798,46955338,47017641,47109631,47339504,47414574,47451127,47453172,47467018,47552242,47738188,47809017,48018847,48428425,48471727,48573682,48810631,48822128,48868761,49463841,49935631,50101522,50956588,51248217,51286258,51370762,51831607,51915925,52027084,52130578,52385287,52395752,53256942,53349720,53394058,53744457,53823413,54613353,54905482,54924894,55235407,55669567,55689620,55777927,55826578,56210647,56297548,56578762,56829202,56906368,57413002,57579658,57609031,57829522,58114110,58328818,58356967,58411978,58425868,58885525,58945221,58965033,59661057,60018435,60019084,60320242,60336345,60408865,60474487,60844773,61313431,61609708,61642738,61988384,62299110,62666887,62796562,63026193,63043402,63184207,63290098,63726508,63865162,64019664,64073541,64110847,64358768,65258482,65311084,65321945,65503882,65743807,65946631,66452384,66755047,66827544,66921140,66956431,67157527,67458631,67701224,67787338,68193778,68518642,68635785,68680978,68790152,69005458,69251647,69736932,69814073,70219978,70381642,70434031,70561497,70662630,70923631,70946962,71606047,71897431,72022122,72155722,72397042,72403614,72490638,72574807,73140104,73195084,73211504,73536367,73601482,74650521,74758932,74965207,75180987,75311624,75373472,75528921,75760402,75793465,76002727,76163877,76278025,76658431,76845127,76890590,77193202,77373388,77381381,77388921,77607345,77774287,78386334,78512431,78985785,79095538,79245967,79275812,79556600,79647752,79975468,80156407,80279818,80305368,80516242,80673778,80752522,80789431,80968017,81059647,81440965,81853258,82088722,82149065,82282617,82311141,82324042,82362942,82781168,83029138,83198047,83732938,84076807,84251504,84725577,84795156,85054952,85158028,85381447,85467847,85603402,86147218,86845258,86891097,87180727,87197201,87232498,87246345,87378537,87773962,88931465,88931602,89060241,89162698,89308785,89501175,89603721,90008818,90085642,90343539,90345269,90929407,90952158,91339084,91442897,91499431,91533630,91618762,91924618,92065927,92146567,92268708,92365228,93062768,93128814,93526162,93744247,94008657,94452933,94532287,94782942,94817482,94893298,94923607,94925548,95044882,95235367,95262704,95347858,95467920,95686821,95953042,96179722,96481738,96708082,97536778,97547745,97612447,97612581,97635872,97729158,97914127,98266645,98578878,98663287,98738698,98886631,99479047,99626431,99734390,99861778,...,4149820924888922534083894824000926298563482839319716818783386915189740102139632193540265077381592487064225912751444560263122404624576029190233613130028323419362669940202473800168002988488889138000053816542352875782290761419789162226319184192277227220094889997447117692646821485817177405219896212860268309472491465496430324955491760109461199018405987718432301455631234115683417945194658136878644400040325566332583466588527408178412467185380027017958404871753452807928807324770334060907675889388657180401697487137375603431828096314339014549550805056346990144093536178790330334091830255230952627439994511977281972046460067771828454963804624948976348849294226630130905628332130783170697037807443731761658615827846421318336073011544138835336242795704109738222221558860233494321355539803586007582439681617126352398059571231184131358792340616460090532845439397734564603072437985199731822821150857417573417826157551652360801277990379396561473256482551174395891947902411552385878540365108401121238514531585423831065543498167707463452527974136772262566870826528941955666245457517154735541351786446495696298280869847251483107454961318219899061243116307200965784619514625704876186716979149326373812036965815251151163076719384699749090264743108606293299328990048454073282574551054416053664875322018808270384960761888303244911076223491389508248073910647633916977560149562302419735081260993336906914300425881994661306150762883807615480486540715653939164661567675195590734476753065222578280253490275395292269857924365054707811920871224557766567602522442776257519725913493157738659689328227043075755974894274323286816329603612699635439130042093692671216895689181899541460981201339741357055099057664117202352239380573304330190255421208944602409123350145331260901423727034087020771993495908952313273414489719515325051884190786260976472566583518187414917323245795429256951077637201051261940775870119116772731632416007071258801618848898282147277824998181234436723452078811199607217854202969847408014446362598162719367898437531203923609705964295944674105155212251128973762020464030136539841846229249733902819946028211310824352719588017645862878601331429226353313282086827862845709887685552422241764643129491519431324826171699913866448930313995359215481404563644166832760353996868717873964282402521880478916073713148945484747280644574381379862893928778293816490290564014382098484180172817333152799776428799323245217150799541776961521588146224877615449654541481912778821270141744440347296822361674800669849453219893491860089007490001224400413930374976837064086730213712691300461132179435279078825151707288218655870563701653709039754052103330399823705065459608741434350294758175550432097411670719608879952477298715624403409874939101399682282371919353819993285289720951912899791189521167478509934250954835592294613396948084702000595481378058716354742561653916636568332162285337889669091650138582439181379521200182835015720897796943008027248739884357276904787506771966642349637462437502797149330977218791051372453830780806648450837035675168294935288236345406982777376160697774298107642749713124405434800976604084942175891039837947989110208935042226017674991069133623940681833647484401225619069910314199744667583930872096681783938137557822836646965313669670527422728479451513718485847051011565821947299961666212936686755328615306076228209155435354201266971575377886719906121661481172741174708744662937472736644692202733138715937314491489179780710707553292446046516536734825122271596016370940836101767766077724833098423843391920603059433283038160764634176421712147054287999050570053996418957642682300195919228105457006856954752008587433826624018882086949539008524850357458408990708564870725905864049849352681454531034169969574951648481828403016740682286098}
23433  98313572098812823951586903095974631760037597953921897738621511016027322115530: {46862,913263,1287935,1545522,2176107,2294866,3278380,3392855,3934056,4071426,4136667,4276527,4425813,4683400,5115183,5268825,5620080,5919947,5994752,6322590,6744096,6762311,6789903,6893855,7208043,7587108,7625967,8272626,8291735,9573423,9712347,9950082,10385855,10545387,11559106,11780135,12463026,12476735,12485787,13624127,14136162,14972082,15068956,15259535,15801243,15939087,15954335,16214703,16765647,17341282,17342855,17866383,18278763,18311442,18671831,18828267,19094107,19145202,19561564,20684716,20811426,21308507,21527080,21706863,21908866,22036967,22459531,22843007,22937307,23427071,24165807,24217965,24773260,24847467,25392363,25572631,25800783,25832496,25909631,26333135,26888847,27703887,27710855,28246767,28472183,28559362,28924827,29061558,29727912,31148855,31298380,31495983,31599762,31678066,31835591,32171163,32355211,32922863,33031687,33253026,33443901,33519723,33562331,33628882,34168402,34679596,35000367,35004904,35293751,35941083,35946935,36219883,36412018,36532330,36878002,37044202,37184791,37378626,37558056,38112587,38184946,38456743,39023727,39157467,39380517,39558543,39777442,40045535,41422066,41960463,42021058,42252813,42360027,42719362,43136322,43838796,43956123,44221803,44531243,44620143,44810855,44915218,45150927,45254380,45619627,45677047,45846283,46169135,46221730,46681005,47137947,47738087,47938306,48041260,48042647,48054642,48327567,48331228,49542280,49793072,49910703,50305947,50715647,51095787,51555851,51742690,51753327,52682860,53121130,53460123,53613935,53773026,54216791,54239836,54305256,54901167,55032027,55402962,55466076,55572625,55735065,55899778,56017206,56133647,56310335,56313922,56442527,57113836,57649512,58035183,58122503,58145836,58165467,58276543,58425963,58474101,58815562,59174380,59238571,59316465,59433407,59450736,59597007,59672735,59986923,60191383,60548903,61027660,61093413,62062827,62091228,62269762,62690188,62710287,63219432,63270896,63662287,63695735,63745356,63874203,63951466,63997591,64060066,64336722,64685771,64742386,64851202,64855701,65033855,65080642,65158348,65494690,65525543,65809743,65897671,65951788,66196203,66687150,66882078,66998987,67097103,67248103,67572402,67887431,68330956,68638767,69408303,69612025,69691783,69792747,70045666,70139627,70267197,70371935,70433007,71009256,71121861,71132960,71179758,71200527,71328363,71607282,71659276,72008347,72290591,72433522,72817804,72860523,72924767,73032335,73233192,73720066,74423083,75023855,75152283,76324607,76434882,76906882,76929387,77012135,77056143,77299618,77485480,78040626,78195867,78593628,78620044,78707047,79187467,79548076,79658135,79885413,80024580,80091087,80448460,81126364,81429922,81635122,81638855,82358223,82387341,83065480,83337943,83354866,83534430,83651425,83739867,84034924,84130306,84446322,84626530,84868143,85243803,85359552,85431388,85987690,86119503,86369487,86740231,86744283,87171165,87493227,87617967,87638802,88268098,88769623,89103392,89467618,89486351,90028626,90144106,90480363,91044562,91075787,91425130,91493855,91514380,92414562,92464107,92982576,93020827,93448665,94081996,94139530,94194843,94216840,94565103,94883362,94935147,95589762,95797743,96029496,96448031,96538152,96654184,96716735,96925282,97063307,97155103,97451351,97887723,97966626,98255823,98621842,98822731,99094765,99356866,99445750,99534028,99559690,99678576,99969335,...,6224731387333383801125842236001389447845224258979575228175080372784610153209448290310397616072388730596338869127166840394683606936864043785350419695042485129044004910303710700252004482733333707000080724813529313673436142129683743339478776288415840830142334996170676538970232228725766107829844319290402464208737198244645487433237640164191798527608981577648452183446851173525126917791987205317966600060488349498875199882791112267618700778070040526937607307630179211893210987155501091361513834082985770602546230706063405147742144471508521824326207584520485216140304268185495501137745382846428941159991767965922958069690101657742682445706937423464523273941339945196358442498196174756045556711165597642487923741769631977504109517316208253004364193556164607333332338290350241482033309705379011373659522425689528597089356846776197038188510924690135799268159096601846904608656977799597734231726286126360126739236327478541201916985569094842209884723826761593837921853617328578817810547662601681857771797378135746598315247251561195178791961205158393850306239793412933499368186275732103312027679669743544447421304770877224661182441977329848591864674460801448676929271938557314280075468723989560718055448722876726744615079077049623635397114662909439948993485072681109923861826581624080497312983028212405577441142832454867366614335237084262372110865971450875466340224343453629602621891490005360371450638822991991959226144325711423220729811073480908746992351512793386101715129597833867420380235413092938404786886547582061717881306836836649851403783664164386279588870239736607989533992340564613633962341411484930224494405419049453158695063140539006825343533772849312191471802009612035582648586496175803528359070859956495285383131813416903613685025217996891352135590551130531157990243863428469910121734579272987577826286179391464708849875277281122375984868693143885426616455801576892911163805178675159097448624010606888202428273347423220916737497271851655085178118216799410826781304454771112021669543897244079051847656296805885414558946443917011157732818376693460643030696045204809762769343874600854229919042316966236529079382026468794317901997143839529969923130241794268564831528328633362646964694237279146987239257549870799673395470993038823222106845466250249140530995303076810946423603782820718374110569723418227120920966861572069794340893167440724735435846021573147726270259225999729199664643198984867825726199312665442282382219337316423174481812222869168231905212616660520945233542512201004774179829840237790133511235001836600620895562465255596130095320569036950691698269152918618237727560932327983805845552480563559631078154995599735557598189413112151525442137263325648146117506079413319928715948073436605114812408652099523423557879030729989927934581427869349686784281751217764901376432253388441920095422127053000893222067088074532113842480874954852498243428006834503637475207873658772069281800274252523581346695414512040873109826535915357181260157949963524456193656254195723996465828186577058680746171209972676255553512752442402932354518110474166064241046661447161464124569686608152201464906127413263836559756921983665313402563339026512486603700435911022750471226601838428604865471299617001375896308145022675907206336734254970447970504505791134092719177270577728770576517348732920949942499319405030132992922959114342313733153031301900457363066830079859182492221759111762063116994406209104967038304099708073905971737233769671066061329938669069774805102237683407394024556411254152651649116587249647635765087880904589149924557241146951264632568220581431998575855080994628436464023450293878842158185510285432128012881150739936028323130424308512787275536187613486062847306088858796074774029022181796551254954362427472722742604525111023429147}
23434  98663128614307825990551954841454165731069372194996732682116477285828111083324: {70293,398089,1217684,2060696,2318283,2356633,2495989,2635273,2851262,2901476,3191689,3442299,4097975,4917570,5245408,5405833,5428568,5515556,5702036,5854250,5901084,6107139,6475454,6820244,7025100,7328089,7493440,7585694,8011189,8147593,8416862,8430120,8992128,9053204,9483885,9610724,9914293,10116144,10167956,10351214,10590553,10626974,11030168,11265013,11380662,12408939,12742489,12764564,12876373,12949796,13266776,14060516,14078089,14743189,14925123,15538933,16617368,16647716,16859413,17202014,17338659,17474174,18041689,18565273,18694539,18836195,18848216,19375262,19478773,19962776,20187854,21068324,21204243,21252116,21424393,21619604,22354196,22458123,22603434,23821844,24371684,24376213,24415256,24451955,25104356,25526936,25647733,25855895,25901173,26011923,26107262,26407189,26908850,27467163,27748568,28294489,28717803,28795033,28942484,29342346,30041353,30165589,30583076,30629291,30966575,31027074,31217139,31428062,32221076,32290620,32863299,33129956,33276734,33370453,33856484,33981193,34346773,34401044,34443328,34590133,35197273,35851796,36285589,36691262,36806627,36887689,36938516,37159890,37368073,37607833,37662356,38566436,38683189,38748744,38780414,39122975,39396853,39637216,39821534,39871189,40344373,40462489,41169673,41522293,41994644,42133016,42839043,42894884,43349495,43391989,43568938,43592337,43756130,44337368,44478062,44551189,44591868,44692964,45012853,46667156,46847989,46947570,46962073,47044862,47399643,47517099,47531413,47556494,47921444,49228633,49838168,49879539,50077408,50360174,50443323,50686453,50798089,50909653,51252603,51375374,52019394,52031636,52209956,52507356,52744724,52905493,54618027,54798495,55313173,55317003,55362034,55566303,55747189,55947284,56067939,56337084,56480036,56567975,56667374,56719513,56934793,57277419,57515096,57668174,58417262,58451728,58608164,58962404,59493524,59666163,60023989,60051575,60201236,60414035,60550489,60904862,61702453,61927850,62015113,62133099,62241340,62288138,62850596,62884574,63031587,63671689,64072856,64079043,64436756,64609262,64704483,64799893,65346254,65614933,65716489,65758194,65853575,66547604,67074596,67372827,67632373,67799795,67881570,68127716,68331673,69004436,69126553,69332595,71093593,71280164,71288713,71392295,71697368,71907459,72061890,72081963,72407008,72496842,72549973,72682295,73201556,73376036,73608254,73870616,73954768,73967975,74313420,74689608,75414133,75602773,75885193,76245614,76284575,76866016,77200334,77380244,77553956,77614035,77751433,77843989,77901284,77936473,77965468,78362735,79024290,79088620,79102862,79267648,79462676,79681695,79771033,79982564,80659539,80760014,81359754,81447935,81457884,81576793,81845173,82439735,82750436,82788304,83104443,83115134,83199114,83613716,83705689,83818862,83849667,84025809,84056473,84292576,84470883,84572411,84993808,85165604,85413695,85448089,85534453,85670754,85689134,85782296,86474268,87161689,87218754,87746324,87782174,87923413,88091893,88223343,88261604,88344073,88511833,88761570,88916200,89176104,89462804,89574095,89678089,90094094,90096536,91022255,91238293,91450723,91518356,91541490,91806553,92451673,92544404,93056996,93136842,93251593,93404643,93689596,93910676,94035282,94123189,94219262,94679008,94829148,94902254,94906344,94934036,95104484,95476376,95618034,95927199,96037694,96090099,96148693,96505083,96856850,96943454,97113579,97147364,97219189,97276803,97295113,97620963,97621262,97644256,97737522,98242035,98275055,98350489,98927682,99021493,99435095,99871262,...,8299641849777845068167789648001852597126965678639433637566773830379480204279264387080530154763184974128451825502889120526244809249152058380467226260056646838725339880404947600336005976977778276000107633084705751564581522839578324452638368384554454440189779994894235385293642971634354810439792425720536618944982930992860649910983520218922398036811975436864602911262468231366835890389316273757288800080651132665166933177054816356824934370760054035916809743506905615857614649540668121815351778777314360803394974274751206863656192628678029099101610112693980288187072357580660668183660510461905254879989023954563944092920135543656909927609249897952697698588453260261811256664261566341394075614887463523317231655692842636672146023088277670672485591408219476444443117720466988642711079607172015164879363234252704796119142462368262717584681232920181065690878795469129206144875970399463645642301714835146835652315103304721602555980758793122946512965102348791783895804823104771757080730216802242477029063170847662131086996335414926905055948273544525133741653057883911332490915034309471082703572892991392596561739694502966214909922636439798122486232614401931569239029251409752373433958298652747624073931630502302326153438769399498180529486217212586598657980096908146565149102108832107329750644037616540769921523776606489822152446982779016496147821295267833955120299124604839470162521986673813828600851763989322612301525767615230960973081431307878329323135350391181468953506130445156560506980550790584539715848730109415623841742449115533135205044885552515039451826986315477319378656454086151511949788548646573632659207225399270878260084187385342433791378363799082921962402679482714110198115328234404704478761146608660380510842417889204818246700290662521802847454068174041543986991817904626546828979439030650103768381572521952945133167036374829834646491590858513902155274402102523881551740238233545463264832014142517603237697796564294555649996362468873446904157622399214435708405939694816028892725196325438735796875062407847219411928591889348210310424502257947524040928060273079683692458499467805639892056422621648705439176035291725757202662858452706626564173655725691419775371104844483529286258983038862649652343399827732897860627990718430962809127288333665520707993737435747928564805043760957832147426297890969494561289148762759725787857556587632980581128028764196968360345634666305599552857598646490434301599083553923043176292449755230899309082963825557642540283488880694593644723349601339698906439786983720178014980002448800827860749953674128173460427425382600922264358870558157650303414576437311741127403307418079508104206660799647410130919217482868700589516351100864194823341439217759904954597431248806819749878202799364564743838707639986570579441903825799582379042334957019868501909671184589226793896169404001190962756117432709485123307833273136664324570675779338183300277164878362759042400365670031441795593886016054497479768714553809575013543933284699274924875005594298661954437582102744907661561613296901674071350336589870576472690813965554752321395548596215285499426248810869601953208169884351782079675895978220417870084452035349982138267247881363667294968802451238139820628399489335167861744193363567876275115645673293930627339341054845456958903027436971694102023131643894599923332425873373510657230612152456418310870708402533943150755773439812243322962345482349417489325874945473289384405466277431874628982978359561421415106584892093033073469650244543192032741881672203535532155449666196847686783841206118866566076321529268352843424294108575998101140107992837915285364600391838456210914013713909504017174867653248037764173899078017049700714916817981417129741451811728099698705362909062068339939149903296963656806033481364572196}
23435  99013919865935177202793021808588918070347877883553588303515141405821589249919: {93724,1522105,1803109,1826526,2575870,3091044,3626845,4276893,4352214,4589732,4749997,6556760,6785710,6894445,6996301,7127545,7376355,7557877,7868112,8142852,8273334,8525305,8553054,8781375,8851626,9366800,9651397,9713181,10230366,10537650,11240160,11316505,11378541,11608429,11839894,11989504,12013405,12625293,12645180,12709945,13488192,13524622,13579806,13625293,13787710,14416086,14540197,15174216,15251934,15526821,15940461,15955705,16101241,16187245,16492189,16545252,16583470,17070993,17214109,17467429,17575645,18673429,19146846,19424694,19900164,20771710,20809645,20868517,21090774,21363349,22038853,22336069,23111941,23118212,23560270,24221209,24279997,24889909,24926052,24953470,24971574,25074937,25182781,25803021,26183197,26211261,26335405,26422693,26565145,26996281,27024505,27248254,27942745,28272324,28975573,29062893,29777305,29944164,30137912,30281781,30464605,30519070,30620473,31344277,31380445,31602486,31878174,31908670,32429406,32545909,33531294,33565213,33905151,34031149,34682564,34685710,35432569,35732766,36178105,36557526,36622884,36796141,36866389,37343662,37656534,38188214,38228845,38290404,38456329,38795197,39123128,39160893,39186181,39445957,39664573,40276345,40363275,41369432,41412445,41622852,42320605,42396061,42402709,42617014,43001305,43054160,43413726,43608397,43817732,44013519,44073934,44246653,44814745,44919062,45347677,45686014,45874614,46173145,46540611,46854142,47077945,47142093,48208045,48331614,48435930,49395961,49546520,49694934,49915101,50285269,50325709,50332909,50784726,50949037,51145262,51355933,51601566,51664992,51819262,52493305,52666270,53189581,53442157,53618605,53777694,54151453,55008277,55036893,55407774,55421710,55739835,55866205,56063749,56493534,56912053,56944366,57118724,57849654,57922909,58123116,58170621,58333945,58355833,58940377,59195821,59455824,59732301,59901805,60004933,60595237,61280029,62297710,62596760,62735197,62991966,63199524,63356132,63671182,63980653,64079269,64342326,64636789,64710422,65039545,65262445,65353407,65493109,65634195,65845726,65930905,66009589,66063374,66506052,66717093,66878509,66887802,67039446,67124662,67257764,68336804,69359192,69799753,69934105,70000734,70009808,70239481,70421355,70567293,70587502,70600045,71199013,71334741,71535013,71882166,71893870,72439766,72824036,73064660,73260205,73437829,73641817,73703005,73756004,74088404,74366905,74369582,74551213,74757252,75059509,75116112,75251545,75396793,75418069,75540261,76225174,76331161,76369892,76913486,77063061,77276149,77801675,78029091,78047454,78066109,78314934,78563245,78761034,78834469,79117086,79180621,79327333,79554884,80091070,80545945,81588373,82844132,83043051,83184505,83541829,83843245,83920926,84042116,84505626,84720054,85001061,85159645,85438724,85583509,85736557,86255545,86272644,86502261,87060889,87625893,87677592,87719293,87912246,88443606,89062486,89100205,89174029,89240286,89584693,89621710,89830436,90274777,90301854,90508760,91047397,91239254,91354094,91357293,91501945,91692566,91720045,92209069,92338270,92443460,92447737,92652169,92891775,93081109,93362010,93432207,94275894,94326861,95476174,95876612,96082520,96085294,96109284,96456313,96655134,96662456,96725305,96913893,96942445,97071733,97376605,97456835,98019381,98357893,98520709,98637291,98853589,98860775,99084560,99328345,99586144,99821406,99978205,...,12449462774666767602251684472002778895690448517959150456350160745569220306418896580620795232144777461192677738254333680789367213873728087570700839390084970258088009820607421400504008965466667414000161449627058627346872284259367486678957552576831681660284669992341353077940464457451532215659688638580804928417474396489290974866475280328383597055217963155296904366893702347050253835583974410635933200120976698997750399765582224535237401556140081053875214615260358423786421974311002182723027668165971541205092461412126810295484288943017043648652415169040970432280608536370991002275490765692857882319983535931845916139380203315485364891413874846929046547882679890392716884996392349512091113422331195284975847483539263955008219034632416506008728387112329214666664676580700482964066619410758022747319044851379057194178713693552394076377021849380271598536318193203693809217313955599195468463452572252720253478472654957082403833971138189684419769447653523187675843707234657157635621095325203363715543594756271493196630494503122390357583922410316787700612479586825866998736372551464206624055359339487088894842609541754449322364883954659697183729348921602897353858543877114628560150937447979121436110897445753453489230158154099247270794229325818879897986970145362219847723653163248160994625966056424811154882285664909734733228670474168524744221731942901750932680448686907259205243782980010720742901277645983983918452288651422846441459622146961817493984703025586772203430259195667734840760470826185876809573773095164123435762613673673299702807567328328772559177740479473215979067984681129227267924682822969860448988810838098906317390126281078013650687067545698624382943604019224071165297172992351607056718141719912990570766263626833807227370050435993782704271181102261062315980487726856939820243469158545975155652572358782929417699750554562244751969737386287770853232911603153785822327610357350318194897248021213776404856546694846441833474994543703310170356236433598821653562608909542224043339087794488158103695312593611770829117892887834022315465636753386921286061392090409619525538687749201708459838084633932473058158764052937588635803994287679059939846260483588537129663056657266725293929388474558293974478515099741599346790941986077646444213690932500498281061990606153621892847207565641436748221139446836454241841933723144139588681786334881449470871692043146295452540518451999458399329286397969735651452398625330884564764438674632846348963624445738336463810425233321041890467085024402009548359659680475580267022470003673201241791124930511192260190641138073901383396538305837236475455121864655967611691104961127119262156309991199471115196378826224303050884274526651296292235012158826639857431896146873210229624817304199046847115758061459979855869162855738699373568563502435529802752864506776883840190844254106001786444134176149064227684961749909704996486856013669007274950415747317544138563600548505047162693390829024081746219653071830714362520315899927048912387312508391447992931656373154117361492342419945352511107025504884805864709036220948332128482093322894322928249139373216304402929812254826527673119513843967330626805126678053024973207400871822045500942453203676857209730942599234002751792616290045351814412673468509940895941009011582268185438354541155457541153034697465841899884998638810060265985845918228684627466306062603800914726133660159718364984443518223524126233988812418209934076608199416147811943474467539342132122659877338139549610204475366814788049112822508305303298233174499295271530175761809178299849114482293902529265136441162863997151710161989256872928046900587757684316371020570864256025762301479872056646260848617025574551072375226972125694612177717592149548058044363593102509908724854945445485209050222046858294}
23436  99365950186619774020789166073870242981277535937236563748839324489125356906039: {117155,140586,444923,796178,865763,1565723,1845203,2263883,2403299,2435368,2542643,2739789,3238283,3654803,3863805,3885923,4121392,4636566,4713266,4991978,5268443,5270546,5406299,5544083,5702524,5737165,5802952,6094499,6231923,6383378,6415043,6528321,6780899,6884598,7784363,8057363,8195950,8602499,8738603,8829299,9146483,9418043,9644123,9835140,9960299,10178565,10185899,10490816,10636499,10811666,10857136,11031112,11404072,11445563,11708500,11802168,12214278,12410001,12829581,12950908,13189643,13277439,13640488,14050200,14123723,14656178,14877299,14986880,15010043,15171388,15345549,15806475,16022378,16113443,16295186,16333523,16509443,16773083,16833724,16860240,17168003,17759841,17984256,18043283,18106408,18610499,18967770,19221448,19480499,19828586,20000963,20232288,20286933,20335912,20369709,20681565,20702428,21181106,21253948,21426299,21624129,21727523,22060336,22071299,22530026,22761324,22877901,23270483,23910323,24293363,24420899,24817878,24875205,25184603,25484978,25529128,25692299,25752746,25899592,25903499,26370673,26533552,28121032,28156178,28297043,28338803,28422299,28547483,28720269,28839299,28897765,28922603,29137041,29338643,29486378,29850246,30292499,30829763,31036043,31077866,31157565,31324499,31530299,31636161,31653683,32064443,32760899,32883563,33234736,33295432,33718826,33780899,34232737,34404028,34677318,34876883,34948348,35321723,35340405,35684963,36083378,36198253,36208499,36329123,36891083,36931163,37130546,37131443,37389078,37411499,37430205,37457361,37672390,37696432,38010299,38686763,38726483,38750524,38957546,39400499,39874883,39925552,40269323,40375708,40387499,40466243,40505603,40872381,41055803,41173499,41565299,41878163,42136648,42408486,42504232,42848786,42930299,43202123,43239208,43353205,43434803,43498741,43628483,43899299,44593883,44708392,44916246,45055499,45206868,45778605,45822299,47403729,47535899,47643688,47817261,47863005,47990123,48103499,48367763,48480899,48556283,48644109,48743368,48752426,48830512,48903910,49495883,50057243,50208712,50296941,50802923,50914499,51053872,51295466,51711790,51802346,51841499,51915443,52023846,52028565,52214524,52814378,53057483,53240963,53387603,53599149,53790203,53817700,54772165,54836289,54934326,55028483,55318499,55497136,55571843,55680299,55752563,55788683,55860899,56015493,56329523,56484801,56509403,56588978,57282321,57435606,57590066,57727283,57884968,58439363,58545899,58684692,59324963,59607299,60029843,60082706,60331178,60486299,60556403,60689293,61166152,61258582,61933150,61951763,62054148,62434278,62471723,62679203,62748299,62851883,62856124,63196643,63925521,64191923,64442152,64533563,64581240,64806299,65044523,65120589,65655299,65726598,65756843,66110901,66259912,66553468,66566603,66667499,66740906,66768323,66835499,66936203,67237883,67378593,67672499,67712968,67939283,67962386,68238803,68338499,68529021,68693546,68802088,68811921,68886656,69067403,69166499,69180266,69759563,70055123,70281213,70394546,70546283,71133299,71295899,71398405,71685323,71703592,71782499,72105899,72364043,72497421,72571178,72589499,72653843,72653895,72975083,73167443,73327523,73382524,73455443,73613254,73647083,73775378,73877032,74319780,74542401,74736146,75138299,75215666,75324712,75453299,75830243,76177089,76643003,76717893,76923083,77132872,77233523,77366378,77402349,77497488,77560828,77574083,77728893,77790299,77852003,77944499,78036923,78245950,78497963,78620603,78793706,78999405,79195165,79274432,79643068,79688243,79742378,80444843,80666541,80688746,80924978,81046523,81226403,81585299,81883499,82240283,82339346,83009363,83044586,83111661,83127203,83132565,83215499,83989288,84072205,84094499,84266032,84579649,84589403,84676499,84740301,85416549,85421005,85457123,85485923,85543499,85678086,85789768,86174723,86602883,86698990,86774481,86783978,87137876,87184674,87199283,87255899,87340763,87512260,87538499,87764003,88381499,88674736,88956124,89102378,89183736,89385928,89438963,90025706,91030045,91085123,91275299,91330825,91410899,92085899,92195005,92220299,92300843,92488499,92610505,92702483,93334312,93446565,93606203,93695978,93895140,93924146,94089724,94133483,94395923,94487949,94553003,94799286,94919713,95034198,95062826,95112988,95308163,95462365,95506773,95842888,96159299,96236243,96513489,96721883,97065633,97229963,97305899,98011163,98361443,98386403,98457266,98735003,98768589,98983043,99095061,99443605,99550499,99676336,99759078,99949213,...,18674194162000151403377526708004168343535672776938725684525241118353830459628344870931192848217166191789016607381500521184050820810592131356051259085127455387132014730911132100756013448200001121000242174440587941020308426389051230018436328865247522490427004988512029616910696686177298323489532957871207392626211594733936462299712920492575395582826944732945356550340553520575380753375961615953899800181465048496625599648373336802856102334210121580812821922890537635679632961466503274084541502248957311807638692118190215443226433414525565472978622753561455648420912804556486503413236148539286823479975303897768874209070304973228047337120812270393569821824019835589075327494588524268136670133496792927463771225308895932512328551948624759013092580668493821999997014871050724446099929116137034120978567277068585791268070540328591114565532774070407397804477289805540713825970933398793202695178858379080380217708982435623605750956707284526629654171480284781513765560851985736453431642987805045573315392134407239794945741754683585536375883615475181550918719380238800498104558827196309936083039009230633342263914312631673983547325931989545775594023382404346030787815815671942840226406171968682154166346168630180233845237231148870906191343988728319846980455218043329771585479744872241491938949084637216732323428497364602099843005711252787116332597914352626399020673030360888807865674470016081114351916468975975877678432977134269662189433220442726240977054538380158305145388793501602261140706239278815214360659642746185153643920510509949554211350992493158838766610719209823968601977021693840901887024234454790673483216257148359476085189421617020476030601318547936574415406028836106747945759488527410585077212579869485856149395440250710841055075653990674056406771653391593473970731590285409730365203737818962733478858538174394126549625831843367127954606079431656279849367404730678733491415536025477292345872031820664607284820042269662750212491815554965255534354650398232480343913364313336065008631691732237155542968890417656243676839331751033473198455130080381929092088135614429288308031623802562689757126950898709587238146079406382953705991431518589909769390725382805694494584985900087940894082711837440961717772649612399020186412979116469666320536398750747421592985909230432839270811348462155122331709170254681362762900584716209383022679502322174206307538064719443178810777677999187598993929596954603477178597937996326847146658011949269523445436668607504695715637849981562835700627536603014322539489520713370400533705005509801862686687395766788390285961707110852075094807458755854713182682796983951417536657441690678893234464986799206672794568239336454576326411789976944438352518238239959786147844220309815344437225956298570270673637092189969783803744283608049060352845253653294704129296760165325760286266381159002679666201264223596341527442624864557494730284020503510912425623620976316207845400822757570744040086243536122619329479607746071543780473849890573368580968762587171989397484559731176042238513629918028766660538257327208797063554331422498192723139984341484392373709059824456604394718382239791509679270765950995940207690017079537459811101307733068251413679805515285814596413898851004127688924435068027721619010202764911343911513517373402278157531811733186311729552046198762849827497958215090398978768877343026941199459093905701372089200490239577547476665277335286189350983218627314901114912299124221717915211701309013198183989816007209324415306713050222182073669233762457954947349761748942907295263642713767449773671723440853793897704661744295995727565242983885309392070350881636526474556530856296384038643452219808084969391272925538361826608562840458188541918266576388224322087066545389653764863087282418168227813575333070287441}
23437  99719223924392041683634908142639285542985905676001994768686773753806517678808: {187448,210879,1194267,2130947,3044210,3606218,3653052,5077583,5151740,6182088,6954849,7069899,7128155,7253690,7487967,7905819,8447039,8553786,8704428,9179464,9499994,9575067,9652223,9978563,10326897,11935427,12293925,13113520,13571420,13788890,13992602,14255090,14635625,14752710,15115754,15736224,15843107,16102619,16188635,16217499,16285704,16546668,16818767,17050610,17106108,17562750,17703252,17793923,18321417,18733600,18964235,19302794,19426362,20343947,20460732,20870303,21042155,21075300,21984267,22337987,22480320,22633010,22662143,22757082,23113919,23216858,23679788,23979008,24026810,24033567,24442779,24605903,25077083,25250586,25290360,25419890,25878035,26567435,26804243,26976384,27049244,27070763,27159612,27250586,27575420,28451655,28832172,29080394,29133503,29415347,29742879,30348432,30503868,31053642,31226819,31771659,31880922,31911410,32202482,32374490,32984378,33090504,33166940,33795039,34141986,34243859,34428218,34934858,35031839,35151290,36869567,37160987,37191203,37226817,37346858,37834307,38227467,38293692,38463347,38629119,38849388,39119843,39667979,39800328,40185563,41543420,41619290,41688227,41737034,42181548,42234267,42650447,42726698,42980603,43005035,43195283,43685435,43932623,44077706,44229567,44672138,44775369,46223882,46236424,46616799,47120540,47391263,48438155,48442418,48475103,48559994,49779818,49852104,49906940,49943148,50149874,50289587,50365562,50469635,50578239,50649347,50843903,51606042,52015977,52291499,52366394,52422522,52670810,52676123,52802579,52845386,53130290,53520383,53992562,54049010,54125067,54496508,55223759,55695819,55885490,56083617,56201183,56386883,56508585,56544648,56916959,57127823,57842507,57951146,57977423,58125786,58433243,58436319,59248847,59484347,59554610,59731523,59888328,60201827,60275824,60563562,60929210,61038140,61202459,61240946,61479839,62688554,62740643,62760890,63006227,63204972,63612729,63756348,63817340,64273179,64642403,64858812,65091818,65268155,65573843,65874539,65909123,67062588,67130426,67205087,67259699,67272125,67374369,67491263,67810302,68062298,68167283,68454347,69365128,69371420,70865138,71465532,72044159,72356210,73115052,73128639,73204619,73245768,73355865,73490627,73592282,73732778,73775423,74687324,75066047,75313068,75613499,76207787,76376428,76457690,76580808,76763123,76912658,76943199,77400947,77567685,77590394,77703519,78035769,78212687,78246256,78321786,78372362,78570155,78720563,78891914,79221567,79329146,80552690,80726550,81595379,81667523,82401489,82738864,82824890,83191835,83196959,83245704,83250683,83862527,84290783,84541379,84641210,84792122,84805418,84883467,85234028,86002610,86108320,86153409,86385099,86553743,86827452,87167999,87216794,87635464,87939827,88027038,88105979,88147868,88493306,88784867,89629490,89838124,90124059,90190259,90496767,90695354,91055363,91367423,91372028,91649423,91728155,91749228,91887873,92148383,92216987,92259947,92303267,92346290,92899725,93081222,93089183,93651417,93708284,93797339,93932603,94155890,94284186,94586459,96416090,96663228,96871860,96951035,97171787,97907747,98366339,98589897,98791922,98823443,98840063,99093040,99389868,99553835,99830202,...,24898925549333535204503368944005557791380897035918300912700321491138440612837793161241590464289554922385355476508667361578734427747456175141401678780169940516176019641214842801008017930933334828000322899254117254693744568518734973357915105153663363320569339984682706155880928914903064431319377277161609856834948792978581949732950560656767194110435926310593808733787404694100507671167948821271866400241953397995500799531164449070474803112280162107750429230520716847572843948622004365446055336331943082410184922824253620590968577886034087297304830338081940864561217072741982004550981531385715764639967071863691832278760406630970729782827749693858093095765359780785433769992784699024182226844662390569951694967078527910016438069264833012017456774224658429333329353161400965928133238821516045494638089702758114388357427387104788152754043698760543197072636386407387618434627911198390936926905144505440506956945309914164807667942276379368839538895307046375351687414469314315271242190650406727431087189512542986393260989006244780715167844820633575401224959173651733997472745102928413248110718678974177789685219083508898644729767909319394367458697843205794707717087754229257120301874895958242872221794891506906978460316308198494541588458651637759795973940290724439695447306326496321989251932112849622309764571329819469466457340948337049488443463885803501865360897373814518410487565960021441485802555291967967836904577302845692882919244293923634987969406051173544406860518391335469681520941652371753619147546190328246871525227347346599405615134656657545118355480958946431958135969362258454535849365645939720897977621676197812634780252562156027301374135091397248765887208038448142330594345984703214113436283439825981141532527253667614454740100871987565408542362204522124631960975453713879640486938317091950311305144717565858835399501109124489503939474772575541706465823206307571644655220714700636389794496042427552809713093389692883666949989087406620340712472867197643307125217819084448086678175588976316207390625187223541658235785775668044630931273506773842572122784180819239051077375498403416919676169267864946116317528105875177271607988575358119879692520967177074259326113314533450587858776949116587948957030199483198693581883972155292888427381865000996562123981212307243785694415131282873496442278893672908483683867446288279177363572669762898941743384086292590905081036903998916798658572795939471302904797250661769129528877349265692697927248891476672927620850466642083780934170048804019096719319360951160534044940007346402483582249861022384520381282276147802766793076611674472950910243729311935223382209922254238524312619982398942230392757652448606101768549053302592584470024317653279714863792293746420459249634608398093694231516122919959711738325711477398747137127004871059605505729013553767680381688508212003572888268352298128455369923499819409992973712027338014549900831494635088277127201097010094325386781658048163492439306143661428725040631799854097824774625016782895985863312746308234722984684839890705022214051009769611729418072441896664256964186645788645856498278746432608805859624509653055346239027687934661253610253356106049946414801743644091001884906407353714419461885198468005503585232580090703628825346937019881791882018023164536370876709082310915082306069394931683799769997277620120531971691836457369254932612125207601829452267320319436729968887036447048252467977624836419868153216398832295623886948935078684264245319754676279099220408950733629576098225645016610606596466348998590543060351523618356599698228964587805058530272882325727994303420323978513745856093801175515368632742041141728512051524602959744113292521697234051149102144750453944251389224355435184299096116088727186205019817449709890890970418100444093716588}
23438 100073745442440250425366532440004593306782750741729542024907807700925857953992: {164017,234310,281172,889846,1565857,1592356,1731526,2960497,3131446,3690406,4527766,4566315,4806598,4870736,4900897,5085286,5314861,5409327,5479578,5590477,6278257,6439675,6476566,7101217,7309606,7727610,7771846,8032031,8242784,8467057,8739361,9147277,9273132,9418861,9426532,9690157,9983956,10536886,10541092,10812598,10880535,11088166,11405048,11474330,11605904,12188998,12463846,12766756,12830086,12830679,13056642,13190797,13561798,13769196,14249991,14391217,15055597,15568726,16114726,16391900,16774561,16964275,17204998,17432461,17477206,17658598,17826337,18292966,18836086,19288246,19670280,19920598,20357130,20371798,20435617,20683335,20981632,20988903,21083437,21272998,21382635,21623332,21714272,22062224,22129065,22244977,22373677,22673631,22808144,22891126,23417000,23604336,23912461,24428556,24820002,25575915,25659162,25901816,26344125,26379286,26554878,27280976,27714061,28100400,28247446,28341361,28591777,28954191,29139543,29312356,29341297,29599735,29754598,29973760,30020086,30342776,30691098,30832561,31612950,31820977,32044756,32226886,32590372,32667046,33018886,33546166,33667448,33720480,33811555,33949515,34135623,34271857,34336006,34469275,34515361,34825287,34880077,35365357,35519682,35968512,36040215,36086566,36212816,36934561,37220998,37875879,37935540,38129835,38442896,38491597,38730061,38960998,39657172,40001926,40154797,40456871,40464576,40509361,40573866,40671824,40739418,40875879,41363130,41404856,41458675,41921137,42362212,42507896,42852598,43248258,43455046,43620591,44120672,44142598,45060052,45522648,45755802,45979597,46540966,46580463,47691937,47820646,47821383,47867115,48032461,48131743,48259117,48303723,48561735,48586726,48841798,49476567,49635756,49750410,49949857,50061997,50369206,50969956,51058256,51179437,51212979,51384598,51407603,51505492,51642327,51799184,51806998,51929275,52402287,52726935,52741346,53062561,53067104,53282737,55794061,56020287,56118817,56242064,56312356,56334961,56550817,56594086,56677606,56844598,57094966,57440538,57678598,57732877,57795530,57845206,58274082,58677286,58900675,58972756,59330737,59700492,59859757,60584998,60694487,61659526,62072086,62155732,62166061,62315130,62383675,62428935,62605551,62648998,62685361,63060598,63272322,63307366,64090047,64128886,64232461,65521798,65767126,66116559,66469472,66590864,66976417,67008207,67437652,67561798,67979377,68120635,68465474,68808056,69335823,69354636,69753766,69896696,69963697,70553377,70643446,70680810,70945057,71369926,72016237,72166756,72396506,72416998,72658246,72663627,72839991,73654561,73782166,73862326,74261092,74262886,74669727,74778156,74822998,74860410,74914722,75224811,75344780,75392864,75548343,76020598,76297675,76307617,76681031,76682017,77241457,77373526,77409063,77452966,77501048,77915092,78075757,78536737,78549591,78628717,78633783,78800998,79006215,79268079,79695435,79726861,79749766,79771675,79851104,80538646,80751416,80774998,80814637,80932486,80988843,81011206,81073515,81084961,81264817,81744762,82111606,82248877,82346998,83130598,83135917,83756326,83828235,84273296,84816972,85008464,85494961,85697572,85860598,86404246,86478416,86706410,86714275,86869606,86926719,86997482,87188679,87256966,87378337,87798598,88893361,89187766,89331915,89416784,89476237,89832492,90110998,90413736,90845343,91393815,91557210,91610317,91644598,91861419,92015137,92176561,92337697,92979361,93359155,94032831,94141335,94807458,94954861,95071798,95188897,95287376,95470535,95634522,95726010,95980246,96206998,96735526,96961798,97112566,97288218,97486736,97504852,97637727,97661024,97807820,98022061,98397361,98991766,98994097,99364717,99957767,...,37348388324000302806755053416008336687071345553877451369050482236707660919256689741862385696434332383578033214763001042368101641621184262712102518170254910774264029461822264201512026896400002242000484348881175882040616852778102460036872657730495044980854009977024059233821393372354596646979065915742414785252423189467872924599425840985150791165653889465890713100681107041150761506751923231907799600362930096993251199296746673605712204668420243161625643845781075271359265922933006548169083004497914623615277384236380430886452866829051130945957245507122911296841825609112973006826472297078573646959950607795537748418140609946456094674241624540787139643648039671178150654989177048536273340266993585854927542450617791865024657103897249518026185161336987643999994029742101448892199858232274068241957134554137171582536141080657182229131065548140814795608954579611081427651941866797586405390357716758160760435417964871247211501913414569053259308342960569563027531121703971472906863285975610091146630784268814479589891483509367171072751767230950363101837438760477600996209117654392619872166078018461266684527828625263347967094651863979091551188046764808692061575631631343885680452812343937364308332692337260360467690474462297741812382687977456639693960910436086659543170959489744482983877898169274433464646856994729204199686011422505574232665195828705252798041346060721777615731348940032162228703832937951951755356865954268539324378866440885452481954109076760316610290777587003204522281412478557630428721319285492370307287841021019899108422701984986317677533221438419647937203954043387681803774048468909581346966432514296718952170378843234040952061202637095873148830812057672213495891518977054821170154425159738971712298790880501421682110151307981348112813543306783186947941463180570819460730407475637925466957717076348788253099251663686734255909212158863312559698734809461357466982831072050954584691744063641329214569640084539325500424983631109930511068709300796464960687826728626672130017263383464474311085937780835312487353678663502066946396910260160763858184176271228858576616063247605125379514253901797419174476292158812765907411982863037179819538781450765611388989169971800175881788165423674881923435545299224798040372825958232939332641072797501494843185971818460865678541622696924310244663418340509362725525801169432418766045359004644348412615076129438886357621555355998375197987859193909206954357195875992653694293316023898539046890873337215009391431275699963125671401255073206028645078979041426740801067410011019603725373374791533576780571923414221704150189614917511709426365365593967902835073314883381357786468929973598413345589136478672909152652823579953888876705036476479919572295688440619630688874451912597140541347274184379939567607488567216098120705690507306589408258593520330651520572532762318005359332402528447192683054885249729114989460568041007021824851247241952632415690801645515141488080172487072245238658959215492143087560947699781146737161937525174343978794969119462352084477027259836057533321076514654417594127108662844996385446279968682968784747418119648913208789436764479583019358541531901991880415380034159074919622202615466136502827359611030571629192827797702008255377848870136055443238020405529822687823027034746804556315063623466372623459104092397525699654995916430180797957537754686053882398918187811402744178400980479155094953330554670572378701966437254629802229824598248443435830423402618026396367979632014418648830613426100444364147338467524915909894699523497885814590527285427534899547343446881707587795409323488591991455130485967770618784140701763273052949113061712592768077286904439616169938782545851076723653217125680916377083836533152776448644174133090779307529726174564836336455627150666140574882}
23439 100429519119163011666132866381233263080227863682925901989009219153330195142781: {351465,374896,421758,1334769,1990445,2388534,2597289,2833457,4261894,4697169,5535609,6088420,6791649,7209897,7212436,7306104,7464281,7627929,8219367,9149009,9714849,9979417,10155166,10303480,10964409,11591415,11657769,11783165,12364176,12479945,13176365,13909698,14139798,14256310,14507380,14975934,15166481,15805329,15811638,15958445,16218897,16632249,16894078,17107572,17211495,17408856,18241817,18283497,18358928,18695769,18999988,19150134,19245129,19304446,19584963,19957126,20342697,20489875,20653794,21055469,22664089,22848881,23353089,23870854,24172089,24587850,25261889,25807497,25916297,26215809,26227040,26487897,26549929,26806537,27029165,27142840,27439449,27448817,27577780,27785741,27985204,28254129,28510180,28932369,29271250,29459017,29505420,29880897,30231508,30535695,30557697,31472448,31686214,31695449,31909497,32205238,32377270,32434998,32571408,32931329,33093336,33570977,33637534,34101220,34212216,34336689,35099537,35125500,35302829,35406504,35587846,35899709,36229249,36640445,36642834,37194409,37230003,37467200,37928470,38154281,38488743,38605588,38852724,39263117,39568929,39832317,40042157,40055945,40687894,40737965,40921464,41740606,42084310,42150600,42371169,43968534,44542697,44631897,44675974,44960640,45030129,45266020,45324286,45514164,46036647,46227838,46433716,47359576,47419425,47492029,47750369,47958016,48053620,48055001,48067134,48277081,48340329,48885558,49000569,49211806,49528329,49571465,50154166,50319249,50501172,50580720,50839780,51504009,51756070,51869057,52952765,53134870,53279523,53608486,53952768,54098488,54129849,54141526,54319224,54501172,55150840,55831497,56148089,56206009,56325065,56457041,56903310,57664344,57932897,58137449,58160788,58267006,58441497,58830694,59485758,60002889,60088249,60191501,60207049,60696864,60860799,60963881,61007736,61109127,61159609,62044695,62107284,62453638,63543318,63712445,63761844,63822820,64278897,64381865,64404964,64702409,64748980,64872387,65182569,65542397,65968756,66181008,66213897,66333880,66758761,67265497,67590078,67813417,67904897,68283972,68487718,68527481,68633703,68856436,69057469,69811449,69869716,70063678,70096177,70302580,70390445,70657489,71730969,72880089,72943529,73262697,73352129,73715945,73739134,74321974,74382406,74453634,74625615,74693716,75553809,75668614,76344269,76454934,76587384,76926694,77076897,77258238,77694665,77698776,77710497,77822177,78239686,79083257,79112019,79335958,79600656,80371126,81180401,83086840,83238580,83376454,83474068,84297065,84363096,84468534,84891129,85016409,85143097,85173409,85266897,85300894,85453396,85642449,85961206,86010070,86160807,86390566,86517897,86693295,86767809,87370870,87411123,87865246,88015929,88100177,88155412,88436921,88459134,89344276,89550738,90208445,90877497,91375417,91851629,92447764,92472848,92489289,92826365,93044881,93108129,93233598,93472695,93940669,93973497,94180975,94241080,94590897,94782526,94908483,94961049,95272057,96193329,96472877,96876310,96884836,96950206,97119988,97393865,98282697,98285689,98583881,98650689,99559636,99704208,99813880,99886296,...,56022582486000454210132580124012505030607018330816177053575723355061491378885034612793578544651498575367049822144501563552152462431776394068153777255382366161396044192733396302268040344600003363000726523321763823060925279167153690055308986595742567471281014965536088850732090058531894970468598873613622177878634784201809386899138761477726186748480834198836069651021660561726142260127884847861699400544395145489876798945120010408568307002630364742438465768671612907038898884399509822253624506746871935422916076354570646329679300243576696418935868260684366945262738413669459510239708445617860470439925911693306622627210914919684142011362436811180709465472059506767225982483765572804410010400490378782391313675926687797536985655845874277039277742005481465999991044613152173338299787348411102362935701831205757373804211620985773343696598322211222193413431869416622141477912800196379608085536575137241140653126947306870817252870121853579888962514440854344541296682555957209360294928963415136719946176403221719384837225264050756609127650846425544652756158140716401494313676481588929808249117027691900026791742937895021950641977795968637326782070147213038092363447447015828520679218515906046462499038505890540701535711693446612718574031966184959540941365654129989314756439234616724475816847253911650196970285492093806299529017133758361348997793743057879197062019091082666423597023410048243343055749406927927633035298931402808986568299661328178722931163615140474915436166380504806783422118717836445643081978928238555460931761531529848662634052977479476516299832157629471905805931065081522705661072703364372020449648771445078428255568264851061428091803955643809723246218086508320243837278465582231755231637739608457568448186320752132523165226961972022169220314960174780421912194770856229191095611213456888200436575614523182379648877495530101383863818238294968839548102214192036200474246608076431877037616095461993821854460126808988250637475446664895766603063951194697441031740092940008195025895075196711466628906671252968731030517995253100419595365390241145787276264406843287864924094871407688069271380852696128761714438238219148861117974294555769729308172176148417083483754957700263822682248135512322885153317948837197060559238937349408998961609196252242264778957727691298517812434045386465366995127510764044088288701754148628149068038506966522618922614194158329536432333033997562796981788790863810431535793813988980541439974035847808570336310005822514087146913549944688507101882609809042967618468562140111201601115016529405588060062187300365170857885121332556225284422376267564139548048390951854252609972325072036679703394960397620018383704718009363728979235369930833315057554714719879358443532660929446033311677868895710812020911276569909351411232850824147181058535760959884112387890280495977280858799143477008038998603792670789024582327874593672484190852061510532737276870862928948623536202468272712232120258730608367857988438823238214631341421549671720105742906287761515968192453679193528126715540889754086299981614771981626391190662994267494578169419953024453177121127179473369813184155146719374529037812297852987820623070051238612379433303923199204754241039416545857443789241696553012383066773305204083164857030608294734031734540552120206834472595435199558935188656138596288549482493874645271196936306632029080823598377281717104116267601470718732642429995832005858568052949655881944703344736897372665153745635103927039594551969448021627973245920139150666546221007701287373864842049285246828721885790928141302349321015170322561381693113985232887987182695728951655928176211052644909579423669592568889152115930356659424254908173818776615085479825688521374565625754799729164672966261199636168961294589261847254504683440725999210862323}
23440 100786549348221954821477474450877293018563113582899066801107818944695867495962: {328034,468620,538591,562344,632637,959359,1659199,1779692,1938631,2357239,2496631,2635951,3131714,3184712,3463052,3470359,3582801,5545039,5820439,5920994,6262892,6392841,6507679,7380812,7610525,8149711,8286079,8830831,9015545,9055532,9132630,9238639,9613196,9645799,9741472,9801794,10170572,10629722,10728391,10818654,10959156,10998319,11180954,11537311,12556514,12879350,12879751,12953132,13013599,13414711,14202434,14619212,14879911,15232749,15455220,15543692,15940039,16064062,16336399,16485568,16863871,16934114,17258719,17478722,18046471,18134225,18294554,18546264,18570199,18700951,18837722,18853064,19380314,19967912,20864547,20912719,21073772,21082184,21209697,21384465,21625196,21761070,21817399,22176332,22463901,22810096,22948660,23103679,23211808,23488159,23717457,23749985,24377996,24382759,24510271,24927692,25341117,25533512,25660172,25661358,25908151,26113284,26287879,26381594,26540671,27123596,27538392,28427431,28499982,28725201,28782434,28927831,28956669,29935689,30049519,30111194,30173791,30297991,30980691,31041679,31137452,31412551,32229452,32783800,33134719,33549122,33928550,34112479,34409996,34472225,34864922,34954412,34964239,34981505,35317196,35328199,35637725,35652674,35691511,35806281,36295591,36585932,36881775,37672172,37789385,38576492,39340560,39407791,39841196,40355599,40473751,40714260,40743596,40871234,41366670,41439629,41885959,41963264,41977806,42166874,42354391,42545996,42626525,42765270,43246664,43428544,43636639,43906875,44100751,44124448,44258130,44489954,44747354,44794759,45347262,45616288,45782252,46834000,46975351,47208672,47336177,47529321,47824922,48256985,48307857,48565471,48565905,48652497,48857112,49242631,49355239,49580239,49640004,50141479,50456301,50812591,50924191,51151830,51318324,51592279,51803632,51925351,52688250,52758572,53109756,53141071,53381769,53794301,54019759,54561952,54784831,54964251,55428122,55763311,55871671,56200800,56494892,56582525,56682722,56882969,56892705,57183554,57381151,57809839,57908382,58042145,58279086,58624712,58682594,59199470,59509196,59513071,59947520,60040172,60067025,60568231,60673351,60685552,61031841,61302559,61382196,61665122,62033359,62610909,62760631,63126465,63225900,63549725,63641954,64089512,64453772,64614559,64921279,65125399,65180744,65334092,65736031,65952801,66037772,66848791,67013961,67092332,67334896,67440960,67623110,67899030,67952839,67986429,68126465,68271246,68543714,68672012,68938550,68948959,69030722,69147319,69246391,69341757,69641959,69650574,69760154,70233151,70730714,71039364,71937024,72080430,72100701,72173132,72425632,72668551,72700985,73054039,73328337,73817709,73869122,74298919,74441996,75231249,75625951,75751758,75871080,75908479,76259670,76885792,76983194,77460122,77634105,77868031,77921996,77960551,78052999,78514159,79314344,79702305,79778525,79886839,80003852,80309594,80412729,80506205,80913742,80929152,80936225,81018722,81147732,81212289,81243319,81343648,81478836,81691879,81751758,82049431,82460945,82726260,82809712,82917350,83842274,83907679,84724424,84955279,85015792,85128871,85354965,85561591,85705196,86070545,86496516,86910092,87189511,87241182,87274471,87337145,87400509,87878225,87951559,88241344,88246041,88285196,88372399,89228637,90120104,91045296,91104799,91349311,91511604,91959194,92722639,93081932,93160926,93361711,93367145,93520759,93680457,94232911,94468999,94704439,95314977,95368889,95383874,95641292,95642766,95734230,96064922,96103471,96257479,96263486,96518234,96607446,96794239,97123470,97173452,97175479,97327471,97403359,97683596,98458231,98682439,98905999,98953134,99054679,99271512,99500820,99899714,...,74696776648000605613510106832016673374142691107754902738100964473415321838513379483724771392868664767156066429526002084736203283242368525424205036340509821548528058923644528403024053792800004484000968697762351764081233705556204920073745315460990089961708019954048118467642786744709193293958131831484829570504846378935745849198851681970301582331307778931781426201362214082301523013503846463815599200725860193986502398593493347211424409336840486323251287691562150542718531845866013096338166008995829247230554768472760861772905733658102261891914491014245822593683651218225946013652944594157147293919901215591075496836281219892912189348483249081574279287296079342356301309978354097072546680533987171709855084901235583730049314207794499036052370322673975287999988059484202897784399716464548136483914269108274343165072282161314364458262131096281629591217909159222162855303883733595172810780715433516321520870835929742494423003826829138106518616685921139126055062243407942945813726571951220182293261568537628959179782967018734342145503534461900726203674877520955201992418235308785239744332156036922533369055657250526695934189303727958183102376093529617384123151263262687771360905624687874728616665384674520720935380948924595483624765375954913279387921820872173319086341918979488965967755796338548866929293713989458408399372022845011148465330391657410505596082692121443555231462697880064324457407665875903903510713731908537078648757732881770904963908218153520633220581555174006409044562824957115260857442638570984740614575682042039798216845403969972635355066442876839295874407908086775363607548096937819162693932865028593437904340757686468081904122405274191746297661624115344426991783037954109642340308850319477943424597581761002843364220302615962696225627086613566373895882926361141638921460814951275850933915434152697576506198503327373468511818424317726625119397469618922714933965662144101909169383488127282658429139280169078651000849967262219861022137418601592929921375653457253344260034526766928948622171875561670624974707357327004133892793820520321527716368352542457717153232126495210250759028507803594838348952584317625531814823965726074359639077562901531222777978339943600351763576330847349763846871090598449596080745651916465878665282145595002989686371943636921731357083245393848620489326836681018725451051602338864837532090718009288696825230152258877772715243110711996750395975718387818413908714391751985307388586632047797078093781746674430018782862551399926251342802510146412057290157958082853481602134820022039207450746749583067153561143846828443408300379229835023418852730731187935805670146629766762715572937859947196826691178272957345818305305647159907777753410072952959839144591376881239261377748903825194281082694548368759879135214977134432196241411381014613178816517187040661303041145065524636010718664805056894385366109770499458229978921136082014043649702494483905264831381603291030282976160344974144490477317918430984286175121895399562293474323875050348687957589938238924704168954054519672115066642153029308835188254217325689992770892559937365937569494836239297826417578873528959166038717083063803983760830760068318149839244405230932273005654719222061143258385655595404016510755697740272110886476040811059645375646054069493609112630127246932745246918208184795051399309991832860361595915075509372107764797836375622805488356801960958310189906661109341144757403932874509259604459649196496886871660846805236052792735959264028837297661226852200888728294676935049831819789399046995771629181054570855069799094686893763415175590818646977183982910260971935541237568281403526546105898226123425185536154573808879232339877565091702153447306434251361832754167673066305552897288348266181558615059452349129672672911254301332281149764}
23441 101144840538594585347088440692642949874009328866628859668358258275233663671911: {492051,585775,702930,749792,843516,2224615,2669538,2786623,3348631,3980890,4328815,4697571,4777068,5194578,5666914,7828615,7979059,8523788,8821423,8881491,9226015,9394338,10225363,11071218,11319415,12016495,12176840,12713215,13583298,13698945,14419794,14424872,14612208,14702691,14928562,15167779,15255858,15680599,15944583,16191415,16227981,16438734,16496431,16771431,17471923,17924023,18274015,18298018,18446911,18755671,18834771,19319025,19429615,19429698,19958834,20310332,20606960,21057271,21303651,21558511,21928818,22341823,23182830,23315538,23532583,23566330,24096093,24728352,24896311,24959890,25264051,25401171,26218083,26342215,26352730,26429491,26603623,27003223,27031495,27441831,27720415,27788119,27819396,27961879,28256583,28279596,28512620,28685825,29014760,29070471,29141143,29701999,29951868,30332962,30472495,30628351,31159615,31610658,31623276,31916890,32075215,32437794,32439511,32641605,32769871,33264498,33788156,33904495,34215144,34422990,34817712,35102551,35611939,36483634,36566994,36717856,36805603,37391538,37840831,37999976,38300268,38375551,38466223,38490258,38492037,38608892,38666419,38921815,39169926,39456103,39572391,39674791,39914252,40286815,40617823,40685394,40835071,40979750,41178391,41307588,41481271,42110938,42406963,42749973,43012495,43173651,43693015,44146495,44752999,44780431,45091423,45166791,45328178,45697762,45732415,45781219,46706178,47090215,47741708,48220615,48344178,49175700,49408663,49801495,50298223,50323683,50523778,50892825,50929495,51296623,51369139,51614994,51832594,51873511,52029151,52297383,52431618,52454080,52975794,53099858,53182495,53455903,53479011,53613074,54058330,54285680,54878898,54897634,55155560,55571482,55970408,56078323,56508258,57020360,57033151,57227815,57368371,57864738,57937891,57971299,58370839,58443319,58542500,58918034,59010840,59211043,59453911,59761794,60020371,60463016,61071390,61115394,61295791,61306851,61474039,62050005,62944896,62966709,63250311,63372428,63390898,63818994,64095751,64147905,64342639,64410476,64754540,64869996,65142816,65510071,65862658,65948215,66186672,66387195,66734931,66895711,67022131,67121031,67141954,67275068,68020893,68033011,68202440,68277919,68381191,68424432,68466151,68673378,69036979,69400051,69817711,70199074,70251000,70605658,70618615,70813008,71175692,71217331,71618791,71737383,71799418,72048223,72458498,73280890,73285668,73456723,74133871,74386495,74388818,74422963,74460006,74934400,75050215,75416191,75536719,75856940,76308562,76727745,76977486,77211176,77705448,77787223,78526234,78855091,79032375,79137858,79591831,79664634,79742863,80014351,80084314,80111890,80567215,80987023,81375788,81475930,81609391,81667615,81842928,82547215,82812871,83142183,83481212,83865415,83932279,84103459,84168620,84301200,84742338,85024083,85061839,85775331,85840015,86862573,87418629,87937068,87954991,88023891,88607959,88799205,89085394,89197423,89263794,89307091,89351948,89517223,89921280,90060258,90134611,90216415,90532040,90648572,90936211,91028328,91107379,92073294,92232823,92455676,92497683,92867432,93052495,93105331,93462031,94536019,94602871,94719152,94838850,94984058,95462931,95500738,95916032,96107240,96110002,96134268,96554162,96680658,97379671,97402495,97649779,97771116,98001138,98383231,98423612,98546623,98592439,98879191,99056658,99142930,...,112045164972000908420265160248025010061214036661632354107151446710122982757770069225587157089302997150734099644289003127104304924863552788136307554510764732322792088385466792604536080689200006726001453046643527646121850558334307380110617973191485134942562029931072177701464180117063789940937197747227244355757269568403618773798277522955452373496961668397672139302043321123452284520255769695723398801088790290979753597890240020817136614005260729484876931537343225814077797768799019644507249013493743870845832152709141292659358600487153392837871736521368733890525476827338919020479416891235720940879851823386613245254421829839368284022724873622361418930944119013534451964967531145608820020800980757564782627351853375595073971311691748554078555484010962931999982089226304346676599574696822204725871403662411514747608423241971546687393196644422444386826863738833244282955825600392759216171073150274482281306253894613741634505740243707159777925028881708689082593365111914418720589857926830273439892352806443438769674450528101513218255301692851089305512316281432802988627352963177859616498234055383800053583485875790043901283955591937274653564140294426076184726894894031657041358437031812092924998077011781081403071423386893225437148063932369919081882731308259978629512878469233448951633694507823300393940570984187612599058034267516722697995587486115758394124038182165332847194046820096486686111498813855855266070597862805617973136599322656357445862327230280949830872332761009613566844237435672891286163957856477110921863523063059697325268105954958953032599664315258943811611862130163045411322145406728744040899297542890156856511136529702122856183607911287619446492436173016640487674556931164463510463275479216915136896372641504265046330453923944044338440629920349560843824389541712458382191222426913776400873151229046364759297754991060202767727636476589937679096204428384072400948493216152863754075232190923987643708920253617976501274950893329791533206127902389394882063480185880016390051790150393422933257813342505937462061035990506200839190730780482291574552528813686575729848189742815376138542761705392257523428876476438297722235948589111539458616344352296834166967509915400527645364496271024645770306635897674394121118477874698817997923218392504484529557915455382597035624868090772930733990255021528088176577403508297256298136077013933045237845228388316659072864666067995125593963577581727620863071587627977961082879948071695617140672620011645028174293827099889377014203765219618085935236937124280222403202230033058811176120124374600730341715770242665112450568844752535128279096096781903708505219944650144073359406789920795240036767409436018727457958470739861666630115109429439758716887065321858892066623355737791421624041822553139818702822465701648294362117071521919768224775780560991954561717598286954016077997207585341578049164655749187344968381704123021065474553741725857897247072404936545424464240517461216735715976877646476429262682843099343440211485812575523031936384907358387056253431081779508172599963229543963252782381325988534989156338839906048906354242254358946739626368310293438749058075624595705975641246140102477224758866607846398409508482078833091714887578483393106024766133546610408166329714061216589468063469081104240413668945190870399117870377312277192577098964987749290542393872613264058161647196754563434208232535202941437465284859991664011717136105899311763889406689473794745330307491270207854079189103938896043255946491840278301333092442015402574747729684098570493657443771581856282604698642030340645122763386227970465775974365391457903311856352422105289819158847339185137778304231860713318848509816347637553230170959651377042749131251509599458329345932522399272337922589178523694509009366881451998421724646}
23442 101504397114627324638468192672450620068880627970419579253453940060867999237601: {257741,656068,937240,1006157,1054395,1077182,1124688,1265274,1659341,1705937,1918718,2403917,2543297,3053741,3318398,3470657,3516941,3559384,3794477,3877262,4004307,4025537,4440941,4714478,4993262,5271902,5407697,5545517,5591441,5971335,6233537,6263428,6369424,6553997,6926104,6940718,7165602,7193741,7791867,8500371,8740877,8831597,8967617,9239441,9691841,9917741,10098317,10323857,10654735,10999277,11090078,11448557,11640878,11841988,11941841,12389441,12525784,12621763,12785682,13015358,13059341,14091507,14393741,14761624,15013997,15221050,15323537,15720941,15941441,16299422,16572158,16606827,16645697,16865357,17040941,17523137,17661662,18031090,18111064,18265260,18477278,18571841,18615437,18746177,19226392,19291598,19482944,19603588,20341144,20374947,20525741,21173441,21259444,21456782,21629691,21637308,21918312,21996638,22361908,22392843,22634897,22883787,23074622,23148497,23532941,23746241,24427457,24658101,25113028,25387915,25656941,25758700,25759502,25906264,25910477,26027198,26079341,26829422,26963777,27447027,27719057,28404868,28429997,28555217,29144547,29180237,29238424,29759822,29938251,30465498,30910440,31087384,31456577,31662317,31880078,31908941,32128124,32524241,32672798,32892557,32893227,32971136,33249979,33545741,33727742,33868228,33912257,34359341,34517438,34521677,34602797,34774245,34957444,34967441,34973307,35349495,35371841,35640775,36092942,36268450,36339137,36589108,37092528,37140398,37401902,37439835,37675444,37706128,37781441,38140397,38760628,39529095,39569741,39935824,40398737,40516877,41184977,41729094,41825438,41889857,41928941,42147544,42164368,42235195,42419394,42768930,43250392,43522140,43634798,44104877,44352664,44927802,45375377,45499443,45620192,45897320,46207358,46423616,46976318,47131841,47415987,47434914,47499970,47700941,47875335,48117137,48261115,48494657,48656691,48755992,48765518,48974107,49020542,49397441,49855384,49892815,49896747,50146241,50183597,50682234,50705741,50929037,51067024,51263441,51320344,51322716,51597197,51634485,51816302,52226568,52410317,52575758,52741841,52763188,52905139,53072717,53081342,53146157,54061457,54247192,54725451,54790097,54850491,55076784,55479341,55696397,55804817,55877057,55985357,56087307,56201741,56854862,56885057,56999964,57450402,57564868,57735387,57815441,57851117,57855662,57913338,58562957,58754889,59200877,59677135,59730497,59871378,60099038,60222388,60347582,60595982,60679277,61028091,61308557,61343441,61469625,61517741,61961382,62083358,62178257,62274904,62766797,62825102,62870417,63166407,63215297,63387437,63575083,64450241,64458904,64927697,65567600,65776397,66269438,66451757,66687377,66788237,66956177,67098244,67225327,67559779,67659341,67857100,67992267,67992941,68224958,68358977,68546643,68819992,68944450,68955857,69187277,69286337,69729844,69908824,69928478,69963010,70059267,70272977,70634392,70656398,71122241,71275450,71305348,71383022,71612562,71804237,72516267,72591182,72900941,73171864,73178125,73573697,73763550,74020241,75161297,75344344,75578770,75785667,76041617,76385741,77152984,77422491,77748891,77783441,77968577,78061037,78091841,78552941,78647427,78681120,78815582,79215535,79463691,79649787,79682392,79804097,80107217,80419611,80513095,80711198,80943175,80947502,80981741,81087495,81251777,81259003,81281741,81428520,81487192,81700397,81730241,81742468,82318347,82346451,82733340,82879258,83241677,83357223,83388737,83652941,83771918,83926528,83955612,84093835,84333748,84383441,84703277,84708782,84762387,84993197,85091992,85253050,85530540,85570637,86430797,86493328,86715917,86797107,86857088,87227117,87273278,87368657,87813750,88201502,88248896,88377051,88409837,88493777,88516260,88800941,88969615,88979908,89494708,89589518,89642691,90694524,90705617,90896717,91114637,91232576,91564504,91607085,91673091,92196557,92250317,92330897,93557441,93668000,93716177,93950702,94243217,94417344,94672354,94714817,94821175,94975697,95058642,95086347,95261741,95377051,95649844,95650241,95728491,95805137,96268097,96447437,96513970,96615714,97130942,97131810,97186241,97304994,97338257,97414157,97714224,98319341,98469197,98485262,98710478,98718317,98793987,98917037,98941841,99065741,99160478,99280008,99804941,...,168067747458001362630397740372037515091821054992448531160727170065184474136655103838380735633954495726101149466433504690656457387295329182204461331766147098484188132578200188906804121033800010089002179569965291469182775837501461070165926959787227702413843044896608266552196270175595684911405796620840866533635904352605428160697416284433178560245442502596508208953064981685178426780383654543585098201633185436469630396835360031225704921007891094227315397306014838721116696653198529466760873520240615806268748229063711938989037900730730089256807604782053100835788215241008378530719125336853581411319777735079919867881632744759052426034087310433542128396416178520301677947451296718413230031201471136347173941027780063392610956967537622831117833226016444397999973133839456520014899362045233307088807105493617272121412634862957320031089794966633666580240295608249866424433738400589138824256609725411723421959380841920612451758610365560739666887543322563033623890047667871628080884786890245410159838529209665158154511675792152269827382952539276633958268474422149204482941029444766789424747351083075700080375228813685065851925933387905911980346210441639114277090342341047485562037655547718139387497115517671622104607135080339838155722095898554878622824096962389967944269317703850173427450541761734950590910856476281418898587051401275084046993381229173637591186057273247999270791070230144730029167248220783782899105896794208426959704898983984536168793490845421424746308499141514420350266356153509336929245936784715666382795284594589545987902158932438429548899496472888415717417793195244568116983218110093116061348946314335235284766704794553184284275411866931429169738654259524960731511835396746695265694913218825372705344558962256397569495680885916066507660944880524341265736584312568687573286833640370664601309726843569547138946632486590304151591454714884906518644306642576108601422739824229295631112848286385981465563380380426964751912426339994687299809191853584092323095220278820024585077685225590134399886720013758906193091553985759301258786096170723437361828793220529863594772284614223064207814142558088386285143314714657446583353922883667309187924516528445251250451264873100791468046744406536968655459953846511591181677716812048226996884827588756726794336873183073895553437302136159396100985382532292132264866105262445884447204115520899567856767842582474988609296999101992688390945366372591431294607381441966941624319922107543425711008930017467542261440740649834065521305647829427128902855405686420333604803345049588216764180186561901095512573655363997668675853267128802692418644145172855562757829916975216110039110184881192860055151114154028091186937706109792499945172664144159638075330597982788338099935033606687132436062733829709728054233698552472441543175607282879652337163670841487931842576397430431024116995811378012367073746983623781017452572556184531598211830612588786845870608607404818136696360776191825103573965316469714643894024264649015160317228718863284547904577361037580584380146622669262258899944844315944879173571988982802483734508259859073359531363381538420109439552465440158123587113436893558963461869210153715837138299911769597614262723118249637572331367725089659037149200319915612249494571091824884202095203621656360620503417786305598676805565968415788865648447481623935813590808919896087242470795131845151312348802804412156197927289987496017575704158848967645834110034210692117995461236905311781118783655908344064883919737760417451999638663023103862121594526147855740486165657372784423907047963045510967684145079341955698663961548087186854967784528633157934728738271008777706667456347791069978272764724521456329845256439477065564123696877264399187494018898783598908506883883767785541763514050322177997632586969}
23443 101865223516088732407079170943187726348883194335325532821743045120074591343139: {820085,984102,1171550,1405860,1499584,1615773,1687032,1897911,2878077,3114461,3957473,4449230,4977597,5339076,5573246,5815893,6060341,6697262,7071717,7489893,7829285,7907853,7961780,8657630,9395142,9429797,9554136,10389156,10411077,10748403,10960061,11333828,12916421,14802485,15657230,15681941,15847181,15958118,16635117,16823093,17047576,17461317,17642846,17762982,17798501,17925557,18452030,18531617,18788676,19178523,19523037,20450726,22142436,22165793,22638830,22667981,22831575,23534597,24032990,24353680,24449133,24504485,24858237,25426430,25583621,26492493,26574305,27046635,27166596,27201461,27397890,27715917,27952385,28839588,28849744,28937397,29143637,29224416,29405382,29422913,29704541,29733461,29857124,30335558,30511716,31150877,31234853,31361198,31391285,31889166,31992161,32185173,32198375,32382830,32455962,32877468,32992862,32994957,33045857,33542862,34611933,34943846,35506085,35614997,35848046,36548030,36596036,36879101,36893822,37511342,37669542,37844093,38638050,38639253,38808581,38859230,38859396,39040797,39917668,40160155,40244133,40620664,41213920,41484833,41721317,42086837,42114542,42335285,42607302,42661493,42991661,43117022,43187093,43623461,43696805,43857636,44639733,44683646,44905301,45639197,45696677,45698247,45736385,46292741,46365660,46631076,47065166,47094305,47132660,47466293,47820117,48192186,48450785,49009197,49456704,49792622,49919780,50048717,50528102,50591613,50802342,51776157,52436166,52684430,52705460,52816157,52858982,53207246,54006446,54062990,54105077,54139413,54402675,54490541,54883662,55440830,55576238,55638792,55710597,55923758,56102853,56215661,56401541,56513166,56559192,56931677,57025240,57142517,57371650,57857381,57976277,58029520,58140942,58282286,58440677,58448357,59403998,59903736,60217493,60665924,60944990,61170221,61218197,61256702,61805093,62104961,62319230,62593641,62738157,63022433,63221316,63246552,63629091,63833780,64025381,64150430,64153395,64875588,64879022,65283210,65452197,65539742,65926301,65953985,66528996,67222373,67391703,67508861,67576312,67808990,68038853,68184821,68430288,68472053,68845980,69069377,69311037,69629957,69635424,69722093,70205102,70263713,70464477,71152371,71223878,71249955,71301293,71956085,72651137,72967268,72986741,73133988,73148277,73223453,73435712,73530813,73611206,74455493,74783076,75277985,75681662,75999952,76023351,76426037,76600536,76751102,76932446,76980516,76984074,77217784,77332838,77420993,77724453,77843630,78339852,78576941,78863637,78912206,79144782,79207973,79221437,79349582,79622013,79828504,80118941,80573630,80813237,81235646,81370788,81589157,81670142,81959500,82356782,82615176,82962542,83872805,84221876,84813926,84821375,85282293,85499946,86024990,86175603,86347302,86777441,86783493,86870007,86938661,87162305,87386030,87962573,88292990,89131685,89211197,89505998,89560862,89807067,90148557,90182846,90305921,90333582,90521373,90656356,90893973,91395524,91464830,91562438,92327501,92942073,93125037,93412356,93956801,94063073,94180430,94237653,94611077,95483416,96107957,96441230,96688356,97388033,97603157,98302637,98351400,98817326,98866061,99394997,99404157,99602990,...,224090329944001816840530320496050020122428073323264708214302893420245965515540138451174314178605994301468199288578006254208609849727105576272615109021529464645584176770933585209072161378400013452002906093287055292243701116668614760221235946382970269885124059862144355402928360234127579881874395494454488711514539136807237547596555045910904746993923336795344278604086642246904569040511539391446797602177580581959507195780480041634273228010521458969753863074686451628155595537598039289014498026987487741691664305418282585318717200974306785675743473042737467781050953654677838040958833782471441881759703646773226490508843659678736568045449747244722837861888238027068903929935062291217640041601961515129565254703706751190147942623383497108157110968021925863999964178452608693353199149393644409451742807324823029495216846483943093374786393288844888773653727477666488565911651200785518432342146300548964562612507789227483269011480487414319555850057763417378165186730223828837441179715853660546879784705612886877539348901056203026436510603385702178611024632562865605977254705926355719232996468110767600107166971751580087802567911183874549307128280588852152369453789788063314082716874063624185849996154023562162806142846773786450874296127864739838163765462616519957259025756938466897903267389015646600787881141968375225198116068535033445395991174972231516788248076364330665694388093640192973372222997627711710532141195725611235946273198645312714891724654460561899661744665522019227133688474871345782572327915712954221843727046126119394650536211909917906065199328630517887623223724260326090822644290813457488081798595085780313713022273059404245712367215822575238892984872346033280975349113862328927020926550958433830273792745283008530092660907847888088676881259840699121687648779083424916764382444853827552801746302458092729518595509982120405535455272953179875358192408856768144801896986432305727508150464381847975287417840507235953002549901786659583066412255804778789764126960371760032780103580300786845866515626685011874924122071981012401678381461560964583149105057627373151459696379485630752277085523410784515046857752952876595444471897178223078917232688704593668333935019830801055290728992542049291540613271795348788242236955749397635995846436785008969059115830910765194071249736181545861467980510043056176353154807016594512596272154027866090475690456776633318145729332135990251187927155163455241726143175255955922165759896143391234281345240023290056348587654199778754028407530439236171870473874248560444806404460066117622352240248749201460683431540485330224901137689505070256558192193563807417010439889300288146718813579841590480073534818872037454915916941479723333260230218858879517433774130643717784133246711475582843248083645106279637405644931403296588724234143043839536449551561121983909123435196573908032155994415170683156098329311498374689936763408246042130949107483451715794494144809873090848928481034922433471431953755292952858525365686198686880422971625151046063872769814716774112506862163559016345199926459087926505564762651977069978312677679812097812708484508717893479252736620586877498116151249191411951282492280204954449517733215692796819016964157666183429775156966786212049532267093220816332659428122433178936126938162208480827337890381740798235740754624554385154197929975498581084787745226528116323294393509126868416465070405882874930569719983328023434272211798623527778813378947589490660614982540415708158378207877792086511892983680556602666184884030805149495459368197140987314887543163712565209397284060681290245526772455940931551948730782915806623712704844210579638317694678370275556608463721426637697019632695275106460341919302754085498262503019198916658691865044798544675845178357047389018018733762903996843449292}
23444 102227324198222912156631594007876486448752590426093915332192287297249720345599: {304603,515482,1312136,1476153,1706083,1757325,1874480,2012314,2108790,2154364,2249376,2530548,3318682,3411874,3517243,3837436,4487443,4807834,5086594,5591923,6107482,6279883,6417259,6636796,6673845,6941314,7033882,7118768,7240003,7588954,7754524,8008614,8051074,8359869,8605483,8881882,9428956,9952225,9963763,9986524,10045893,10543804,10815394,11091034,11182882,11942670,11987683,12467074,12526856,12738848,12986445,13107994,13852208,13881436,14092713,14167285,14331204,14387482,14916629,15059563,15583734,16515259,17000742,17481754,17663194,17935234,18478882,18617083,19383682,19791259,19835482,20196634,20647714,21309470,21998554,22180156,22250923,22379659,22897114,23281756,23485845,23683976,23791003,23883682,23937177,24778882,25051568,25243526,25571364,25701523,26030716,26081683,26118682,26464269,26644473,27678045,28183014,28599523,28724659,28787482,29224483,29523248,30027994,30442100,30469003,30647074,30676089,31441882,31829659,31882882,31952923,32568163,32598844,33144316,33213654,33291394,33730714,33958245,34081882,35046274,35323324,35496259,35543081,36049485,36062180,36101059,36222128,36530520,36824443,36954556,37143682,37230874,37321405,37492354,38139645,38452784,38583196,38621563,38965888,39207176,39573403,40284259,40682288,40749894,41051482,41096835,41932843,42346882,42518888,42913564,43101763,43259382,43274616,43836624,43915723,43993276,44108073,44723816,44785686,45269794,45418003,45503337,45745045,45767574,45992563,46149244,46296994,47041797,47065882,47492482,47705443,47833749,48272803,48386059,48574245,48683943,48854914,49316202,49489293,49897085,50076259,50188363,50226056,50314293,50775830,51313882,51517400,51519004,51812528,51820954,52054396,52158682,52415769,53408059,53658844,53772069,53927554,54822045,54894054,55340733,55438114,55484683,56243203,56267013,56504313,56809736,56859994,57110434,57856723,57957075,58288845,58289094,58360474,58390963,58476848,58710643,58915825,59129273,59519644,59876502,60930996,61349443,61820880,61976059,62174768,62399725,62913154,63171813,63324634,63428083,63760156,63817882,63910953,64256248,64675533,65048482,65119417,65345596,65785114,65786454,65881825,65942272,65985883,66492043,66499958,66996403,67025469,67091482,67197643,67455484,67565561,67699483,67736456,67824514,68697763,68718682,69034876,69043354,69205594,69548490,69849941,69914888,69934882,69946614,70083259,70597749,70698990,70743682,71161963,71281550,71941003,72135043,72185884,72288279,72536900,72678274,72908323,73178216,73485259,74185056,74280796,74385421,74688933,74803804,74879670,75134189,75350888,75389659,75412256,75562882,75792153,75832405,76203513,76280794,76892443,77265259,77521256,77822323,78099883,78192259,78653059,78654249,79026645,79058190,79139482,79288473,79477963,79792225,79810869,79871648,80478259,80797474,81009669,81033754,81094485,81290203,81738763,82325493,82369954,83161245,83162059,83250403,83364357,83458188,83547989,83650876,83779714,83857882,83885637,84295088,84328736,84470390,84769749,84838788,85537860,86057475,86500784,87044280,87211413,87269596,87406243,87423429,87491059,88209754,88705328,89105997,89255563,89855604,90331963,90750754,90906523,90998886,91209085,91240384,91417485,91558843,91794640,91885053,92045059,92125843,92367763,92414716,92847232,93249259,93478845,93952636,94263682,94831974,94869828,94999940,95220259,95298163,95401882,95750670,96225645,96234274,96458083,96522230,96764659,96989314,97313382,97318533,97511984,97531036,97828603,97924815,97948214,98041084,98309613,98794882,98952883,99472003,99693403,99710768,99785630,99793494,...,336135494916002725260795480744075030183642109984897062321454340130368948273310207676761471267908991452202298932867009381312914774590658364408922663532294196968376265156400377813608242067600020178004359139930582938365551675002922140331853919574455404827686089793216533104392540351191369822811593241681733067271808705210856321394832568866357120490885005193016417906129963370356853560767309087170196403266370872939260793670720062451409842015782188454630794612029677442233393306397058933521747040481231612537496458127423877978075801461460178513615209564106201671576430482016757061438250673707162822639555470159839735763265489518104852068174620867084256792832357040603355894902593436826460062402942272694347882055560126785221913935075245662235666452032888795999946267678913040029798724090466614177614210987234544242825269725914640062179589933267333160480591216499732848867476801178277648513219450823446843918761683841224903517220731121479333775086645126067247780095335743256161769573780490820319677058419330316309023351584304539654765905078553267916536948844298408965882058889533578849494702166151400160750457627370131703851866775811823960692420883278228554180684682094971124075311095436278774994231035343244209214270160679676311444191797109757245648193924779935888538635407700346854901083523469901181821712952562837797174102802550168093986762458347275182372114546495998541582140460289460058334496441567565798211793588416853919409797967969072337586981690842849492616998283028840700532712307018673858491873569431332765590569189179091975804317864876859097798992945776831434835586390489136233966436220186232122697892628670470569533409589106368568550823733862858339477308519049921463023670793493390531389826437650745410689117924512795138991361771832133015321889761048682531473168625137375146573667280741329202619453687139094277893264973180608303182909429769813037288613285152217202845479648458591262225696572771962931126760760853929503824852679989374599618383707168184646190440557640049170155370451180268799773440027517812386183107971518602517572192341446874723657586441059727189544569228446128415628285116176772570286629429314893166707845767334618375849033056890502500902529746201582936093488813073937310919907693023182363355433624096453993769655177513453588673746366147791106874604272318792201970765064584264529732210524891768894408231041799135713535685164949977218593998203985376781890732745182862589214762883933883248639844215086851422017860034935084522881481299668131042611295658854257805710811372840667209606690099176433528360373123802191025147310727995337351706534257605384837288290345711125515659833950432220078220369762385720110302228308056182373875412219584999890345328288319276150661195965576676199870067213374264872125467659419456108467397104944883086351214565759304674327341682975863685152794860862048233991622756024734147493967247562034905145112369063196423661225177573691741217214809636273392721552383650207147930632939429287788048529298030320634457437726569095809154722075161168760293245338524517799889688631889758347143977965604967469016519718146719062726763076840218879104930880316247174226873787117926923738420307431674276599823539195228525446236499275144662735450179318074298400639831224498989142183649768404190407243312721241006835572611197353611131936831577731296894963247871627181617839792174484941590263690302624697605608824312395854579974992035151408317697935291668220068421384235990922473810623562237567311816688129767839475520834903999277326046207724243189052295711480972331314745568847814095926091021935368290158683911397327923096174373709935569057266315869457476542017555413334912695582139956545529449042912659690512878954131128247393754528798374988037797567197817013767767535571083527028100644355995265173938}
23445 102590703631803100385297133523796919793747534015350267740294285556954055997333: {773223,1148119,1640170,1968204,2343100,2692955,2811720,2999168,3018471,3163185,3231546,3374064,3795822,4378979,4796795,4978023,5117811,5756154,6228922,7211751,7629891,7914946,8295995,8898460,9161223,9693155,9955194,10411971,10550823,10678152,10960999,11146492,11383431,11535707,11631786,11786195,12012921,12076611,12120682,12378071,12483155,13179755,13322823,13394524,14143434,14979786,15658570,15815706,15923560,16223091,16636551,16774323,17315260,17351795,17914005,18533203,18700611,18790284,18859594,19108272,19661991,20723479,20778312,20822154,21496806,21581223,21920122,22667656,23375601,23439107,25501113,25832842,25922963,26222631,26494791,26902851,27455879,27718323,27725195,28191899,28486811,28988003,29075523,29102195,29604970,29753223,30294951,30971571,31153543,31314460,31363882,31694362,31851947,31916236,31964205,31994899,32538395,32997831,33270234,33646186,34095152,34306279,34345671,34922634,35108579,35285692,35311907,35525964,35597002,35825523,35851114,36904060,37063234,37168323,37204027,37577352,37865289,38052625,38357046,39046074,39133339,39178023,39963827,40052459,40748555,40901452,41430395,42090451,42274521,42420899,43181223,43947799,44154155,44284872,44331586,44554151,45008939,45041991,45077725,45277660,45335962,45663150,45970611,46193195,47069194,47162823,47762651,47824323,48065980,48228995,48707360,48898266,49008970,49307011,49708519,49716474,49820481,49937091,50596071,50852860,51122823,51167242,51882419,52569411,52984986,53148610,53641955,54093270,54174683,54244739,54333192,54402922,54709603,54795780,54991595,55431834,55715523,55846311,55904770,56162531,56224217,56238531,57679176,57686555,57699488,57874794,58287274,58448832,58810764,58845826,58965707,59269399,59409082,59464163,59466922,59714248,60206987,60671116,61023432,61124841,61175527,61577223,62301754,62469706,62722396,62782570,63520323,63778332,63984322,64030939,64370346,64396750,64398755,64719047,64765660,64889073,64911924,65067995,65559251,65754936,65932027,65985724,65989914,66091714,67073555,67085724,67178529,67282891,67831099,67904691,67922363,68651361,69075331,69223866,69411427,69445491,69887692,70175783,70598823,71012170,71229994,71238723,71696092,72962291,73096060,73192072,73282371,73758202,73787644,73974303,74399555,74432023,75022684,75339084,75688186,76163745,76970823,77276100,77278506,77617162,77718460,77718792,77731431,77842199,78081594,78238023,79361363,79700195,79835336,80320310,80488266,80608979,80891331,81201287,81241328,81681995,82341081,82427840,82969666,83157171,83442634,83663179,84173674,84229084,84319355,84670570,85214604,85289991,85322986,85665651,85983322,86234044,86293595,86374186,87246922,87393610,87433641,87540711,87715272,87756923,87821287,88123079,89279466,89367292,89532659,89623523,89810602,89814753,90232355,90671125,91278394,91393354,91396494,91472770,92335579,92487467,92585482,92731320,92850995,93262152,93504755,94130332,94188610,94216907,94265320,94369731,94932586,94986951,95640234,95726823,96384372,96901570,97572723,98018394,98311111,98677671,98679681,98913408,99585244,99749937,99839560,...,504203242374004087891193221116112545275463164977345593482181510195553422409965311515142206901863487178303448399300514071969372161885987546613383995298441295452564397734600566720412363101400030267006538709895874407548327512504383210497780879361683107241529134689824799656588810526787054734217389862522599600907713057816284482092248853299535680736327507789524626859194945055535280341150963630755294604899556309408891190506080093677114763023673282681946191918044516163350089959595588400282620560721847418806244687191135816967113702192190267770422814346159302507364645723025135592157376010560744233959333205239759603644898234277157278102261931300626385189248535560905033842353890155239690093604413409041521823083340190177832870902612868493353499678049333193999919401518369560044698086135699921266421316480851816364237904588871960093269384899900999740720886824749599273301215201767416472769829176235170265878142525761837355275831096682219000662629967689100871670143003614884242654360670736230479515587628995474463535027376456809482148857617829901874805423266447613448823088334300368274242053249227100241125686441055197555777800163717735941038631324917342831271027023142456686112966643154418162491346553014866313821405241019514467166287695664635868472290887169903832807953111550520282351625285204851772732569428844256695761154203825252140980143687520912773558171819743997812373210690434190087501744662351348697317690382625280879114696951953608506380472536264274238925497424543261050799068460528010787737810354146999148385853783768637963706476797315288646698489418665247152253379585733704350949654330279348184046838943005705854300114383659552852826235600794287509215962778574882194535506190240085797084739656476118116033676886769192708487042657748199522982834641573023797209752937706062719860500921111993803929180530708641416839897459770912454774364144654719555932919927728325804268219472687886893338544859157944396690141141280894255737279019984061899427575560752276969285660836460073755233055676770403199660160041276718579274661957277903776358288512170312085486379661589590784316853842669192623442427674265158855429944143972339750061768651001927563773549585335753751353794619302374404140233219610905966379861539534773545033150436144680990654482766270180383010619549221686660311906408478188302956147596876396794598315787337653341612346562698703570303527747424965827890997305978065172836099117774293883822144325900824872959766322630277133026790052402626784322221949502196563916943488281386708566217059261000814410035148764650292540559685703286537720966091993006027559801386408077255932435518566688273489750925648330117330554643578580165453342462084273560813118329377499835517992432478914225991793948365014299805100820061397308188201489129184162701095657417324629526821848638957011491012524463795527729192291293072350987434134037101221240950871343052357717668553594794635491837766360537611825822214454410089082328575475310721895949409143931682072793947045480951686156589853643713732083112741753140439868007786776699834532947834637520715966948407451203524779577220078594090144615260328318657396320474370761340310680676890385607630461147511414899735308792842788169354748912716994103175268977111447600959746836748483713275474652606285610864969081861510253358916796030416697905247366596945342444871807440772426759688261727412385395535453937046408413236468593781869962488052727112476546902937502330102632076353986383710715935343356350967725032194651759213281252355998915989069311586364783578443567221458496972118353271721143889136532903052435238025867095991884644261560564903353585899473804186214813026333120002369043373209934818294173564368989535769318431196692371090631793197562482056696350796725520651651303356625290542150966533992897760907}
23446 102955366303185440141757021868106540336032042144541938163435196215554538661407: {609206,679093,1030964,1099753,2078773,2460255,2497273,2624272,2636629,2928875,2952306,3412166,3471253,3514650,3748960,3887593,4024628,4217580,4308728,4498752,4847319,5061096,5693733,5959573,6637364,6823748,7034486,7674872,8015353,8288233,8634231,8833129,8969173,8974886,9343383,9615668,9648313,10173188,10190329,11123075,11183846,11540329,11674933,11872419,12214964,12559766,12834518,13017013,13273592,13347690,13418233,13551829,13882628,13933115,14067764,14237536,14480006,14932791,15016633,15177908,15414613,15509048,16017228,16102148,16340713,16719738,16743155,17210966,17447679,17763764,18181023,18313333,18705913,18857912,19834199,19904450,19927526,19973048,20091786,21087608,21215151,21630788,21644075,21952213,22182068,22365764,22469679,22724629,23487855,23494453,23723559,23885340,23975366,24516853,24644329,24934148,25053712,25477696,25915129,25972890,26215988,26421433,27052693,27704416,27762872,28185426,28289391,28334570,28560373,28662408,28774964,29833258,30119126,30181993,30306229,31050133,31167468,31233231,31544629,32245209,32880183,33030518,33999829,34001484,34609129,34963508,35095273,35326388,35870468,36957764,37148533,37234166,37628629,38749263,38767364,39143075,39582518,39670964,39893353,39895295,40393268,40485013,40721173,41295428,42483193,42618940,43416313,43648873,43997108,44107115,44113129,44229013,44360312,44407455,44501846,44759318,44807353,45383893,45794228,46130075,46563512,46971690,47045823,47367952,47541543,47582006,47767364,47874354,48012793,48579253,49369273,49557764,49706773,49905351,50103136,50469279,50487052,50938729,51126815,51142728,51403046,52061432,52163366,52237364,52249967,52383951,52928538,53156329,53266453,53288946,53395503,53776671,55236373,55356090,55594851,55779433,55887829,55996153,56366028,56536693,56597075,56967829,57199046,57449318,57535569,57574964,58147513,58448966,58569111,59046496,59530453,59636329,60055988,60082475,60270073,60691129,60796213,60884200,60938006,61294148,61352178,62882773,62883764,63399913,63566075,63659318,63765764,63905846,64043063,65136326,65197688,66288632,66427308,66464953,66497379,66582788,66868729,66969493,67461428,67916490,68003943,68163764,68494725,68969653,69267193,69855919,70092548,70254313,70352629,70603791,70646648,70745173,70992518,71086162,71331829,72098970,72124360,72202118,72444256,73061040,73347399,73364713,73513455,73648886,73909112,74287364,74461748,74574711,74642810,74984708,75649129,75838895,76279290,76750863,76905568,76959311,77166392,77243126,77613973,77931776,77984629,78077113,78402995,78414352,78906229,79146806,79477479,79722915,79729513,80184373,80568518,80957075,81139905,81364576,81499788,81604383,82075129,82102964,82164373,82193670,82482155,83136647,83147751,83406229,83857155,83865686,83934133,84693764,85037776,85827128,85933753,86203526,86518764,86549232,86812191,87302329,87359615,87387253,87430911,87673248,87726229,87831446,87910043,87986552,88148329,88216146,88268739,88568629,89113623,89200383,89447632,89571372,89620115,90539588,90836006,91006674,91370075,91460329,91490090,91535148,91985126,92234555,92270329,92298488,92593988,93452631,93704559,93778355,94083594,94131764,94173855,94735573,94984964,95410886,95667498,95976483,96135253,96212329,96545606,96555519,96595125,96772118,97148075,97148490,97283833,97367886,97435753,97709828,98632404,98790073,98978586,98984871,99137571,99794170,...,672270989832005450521590961488150060367284219969794124642908680260737896546620415353522942535817982904404597865734018762625829549181316728817845327064588393936752530312800755627216484135200040356008718279861165876731103350005844280663707839148910809655372179586433066208785080702382739645623186483363466134543617410421712642789665137732714240981770010386032835812259926740713707121534618174340392806532741745878521587341440124902819684031564376909261589224059354884466786612794117867043494080962463225074992916254847755956151602922920357027230419128212403343152860964033514122876501347414325645279110940319679471526530979036209704136349241734168513585664714081206711789805186873652920124805884545388695764111120253570443827870150491324471332904065777591999892535357826080059597448180933228355228421974469088485650539451829280124359179866534666320961182432999465697734953602356555297026438901646893687837523367682449807034441462242958667550173290252134495560190671486512323539147560981640639354116838660632618046703168609079309531810157106535833073897688596817931764117779067157698989404332302800321500915254740263407703733551623647921384841766556457108361369364189942248150622190872557549988462070686488418428540321359352622888383594219514491296387849559871777077270815400693709802167046939802363643425905125675594348205605100336187973524916694550364744229092991997083164280920578920116668992883135131596423587176833707838819595935938144675173963381685698985233996566057681401065424614037347716983747138862665531181138378358183951608635729753718195597985891553662869671172780978272467932872440372464245395785257340941139066819178212737137101647467725716678954617038099842926047341586986781062779652875301490821378235849025590277982723543664266030643779522097365062946337250274750293147334561482658405238907374278188555786529946361216606365818859539626074577226570304434405690959296917182524451393145543925862253521521707859007649705359978749199236767414336369292380881115280098340310740902360537599546880055035624772366215943037205035144384682893749447315172882119454379089138456892256831256570232353545140573258858629786333415691534669236751698066113781005001805059492403165872186977626147874621839815386046364726710867248192907987539310355026907177347492732295582213749208544637584403941530129168529059464421049783537788816462083598271427071370329899954437187996407970753563781465490365725178429525767867766497279688430173702844035720069870169045762962599336262085222591317708515611421622745681334419213380198352867056720746247604382050294621455990674703413068515210769674576580691422251031319667900864440156440739524771440220604456616112364747750824439169999780690656576638552301322391931153352399740134426748529744250935318838912216934794209889766172702429131518609348654683365951727370305589721724096467983245512049468294987934495124069810290224738126392847322450355147383482434429619272546785443104767300414295861265878858575576097058596060641268914875453138191618309444150322337520586490677049035599779377263779516694287955931209934938033039436293438125453526153680437758209861760632494348453747574235853847476840614863348553199647078390457050892472998550289325470900358636148596801279662448997978284367299536808380814486625442482013671145222394707222263873663155462593789926495743254363235679584348969883180527380605249395211217648624791709159949984070302816635395870583336440136842768471981844947621247124475134623633376259535678951041669807998554652092415448486378104591422961944662629491137695628191852182043870736580317367822794655846192348747419871138114532631738914953084035110826669825391164279913091058898085825319381025757908262256494787509057596749976075595134395634027535535071142167054056201288711990530347876}
23447 103321316714362939565124988129673935317392649065178665036625003062025073157321: {23447,913809,1288705,1546446,2296238,3280340,3770137,3936408,4428459,4686200,4894153,5030785,5118249,5175157,5271975,5385910,5623440,5998336,6036942,6326370,6463092,6715513,6748128,7591644,8296705,8529685,8757958,9523393,9593590,9956046,10235622,10551729,11512308,11614393,12019585,12331273,12457844,12716485,12892849,13462329,13570417,14423502,15259782,15268705,15829892,16500673,16591990,16775769,17222953,17353285,17476417,17584705,17796920,18322446,18451657,18839649,18972385,19251777,19386310,19910388,20021535,20127685,20297233,20823942,21101646,21356304,21720009,21921998,22204705,22292984,22766862,23071414,23263572,23441113,23572390,24025842,24153222,24233653,24241364,24292513,24756142,24902713,24966310,25079607,25816449,26196649,26359510,26436289,26645646,26789048,27038485,27727585,27957205,27969073,28286868,28489249,28986037,29856675,29891289,29959572,30137679,30636229,31167685,31317140,31508593,31631412,31847120,31854673,32446182,32447857,32769985,33273102,33548646,34048633,34258549,34630520,34703590,35450773,35621113,35828010,35963049,35968705,35993137,37066406,37401222,37580568,37719188,38216544,38476117,38815273,38959335,39323982,39466249,40202833,40743073,40845577,41318533,41446958,41491957,41556624,41644308,42278139,42501855,42719953,42745153,42993612,43162446,43213813,43704385,43840244,44157985,44749887,44764513,44838085,45178689,45335312,45553753,45803077,46197205,46751202,46878214,47204497,47411593,48459205,49545777,49588705,50491585,51002226,51619285,51665684,51845926,52042537,52445262,52989582,53273675,53469649,53805702,54249397,54911758,54996385,55036633,55247449,55436646,55450390,55851249,56383798,56973622,57047977,57242785,57952873,57976006,57986233,58002553,58151046,58204390,59209940,59373777,59469289,59506446,59709205,59757193,60035809,60585289,60589902,60626473,60984913,61311553,61815817,61943142,61947205,62307086,62628920,62727764,63108815,63388724,63703894,63832472,63928410,63989798,64112233,64359193,64670473,65076790,65296705,65601973,65902849,65995662,66540468,66752769,66912913,67039489,67138977,67292372,67520593,68050537,68190304,68551153,68612558,68691342,69835669,69845268,70181809,70217158,70275829,70457535,70565473,70571384,70623814,70752793,71051928,71194004,71235649,71373009,71637217,71651046,71702228,71811531,71968705,72334033,73475617,73808120,74126468,74336646,74408054,74589889,75069985,75098737,75154704,75435589,75556153,75730578,76105250,76617685,76714092,76796053,76988233,77104569,78092148,78245049,78266678,78356046,78604705,79392807,79707205,79927654,79933419,80034937,80104918,80761177,81497110,81802904,82834177,82860790,83034135,83228485,83232649,83953873,84180902,84326785,84549042,84841798,85204705,85627993,85780753,85798569,86173977,86362446,86590873,87615685,87673449,87895598,88308310,88569744,88630993,88663172,89108302,89540377,90017878,90083982,90155450,90158257,90228949,90321493,90555320,90671924,91095193,91326300,91407009,91883317,91941222,92028267,92187913,92386390,92515729,92859205,93077185,93730885,93837649,93902977,94138388,94325646,94627489,95005333,95265157,95488977,95525302,95648646,95858769,96124633,96131960,96457990,97122289,97404757,97414720,97509913,97704489,97796532,98017940,98614022,98865913,99417038,99432948,99640962,99874182,...,1008406484748008175782386442232225090550926329954691186964363020391106844819930623030284413803726974356606896798601028143938744323771975093226767990596882590905128795469201133440824726202800060534013077419791748815096655025008766420995561758723366214483058269379649599313177621053574109468434779725045199201815426115632568964184497706599071361472655015579049253718389890111070560682301927261510589209799112618817782381012160187354229526047346565363892383836089032326700179919191176800565241121443694837612489374382271633934227404384380535540845628692318605014729291446050271184314752021121488467918666410479519207289796468554314556204523862601252770378497071121810067684707780310479380187208826818083043646166680380355665741805225736986706999356098666387999838803036739120089396172271399842532842632961703632728475809177743920186538769799801999481441773649499198546602430403534832945539658352470340531756285051523674710551662193364438001325259935378201743340286007229768485308721341472460959031175257990948927070054752913618964297715235659803749610846532895226897646176668600736548484106498454200482251372882110395111555600327435471882077262649834685662542054046284913372225933286308836324982693106029732627642810482039028934332575391329271736944581774339807665615906223101040564703250570409703545465138857688513391522308407650504281960287375041825547116343639487995624746421380868380175003489324702697394635380765250561758229393903907217012760945072528548477850994849086522101598136921056021575475620708293998296771707567537275927412953594630577293396978837330494304506759171467408701899308660558696368093677886011411708600228767319105705652471201588575018431925557149764389071012380480171594169479312952236232067353773538385416974085315496399045965669283146047594419505875412125439721001842223987607858361061417282833679794919541824909548728289309439111865839855456651608536438945375773786677089718315888793380282282561788511474558039968123798855151121504553938571321672920147510466111353540806399320320082553437158549323914555807552716577024340624170972759323179181568633707685338385246884855348530317710859888287944679500123537302003855127547099170671507502707589238604748808280466439221811932759723079069547090066300872289361981308965532540360766021239098443373320623812816956376605912295193752793589196631574675306683224693125397407140607055494849931655781994611956130345672198235548587767644288651801649745919532645260554266053580104805253568644443899004393127833886976562773417132434118522001628820070297529300585081119371406573075441932183986012055119602772816154511864871037133376546979501851296660234661109287157160330906684924168547121626236658754999671035984864957828451983587896730028599610201640122794616376402978258368325402191314834649259053643697277914022982025048927591055458384582586144701974868268074202442481901742686104715435337107189589270983675532721075223651644428908820178164657150950621443791898818287863364145587894090961903372313179707287427464166225483506280879736015573553399669065895669275041431933896814902407049559154440157188180289230520656637314792640948741522680621361353780771215260922295022829799470617585685576338709497825433988206350537954222895201919493673496967426550949305212571221729938163723020506717833592060833395810494733193890684889743614881544853519376523454824770791070907874092816826472937187563739924976105454224953093805875004660205264152707972767421431870686712701935450064389303518426562504711997831978138623172729567156887134442916993944236706543442287778273065806104870476051734191983769288523121129806707171798947608372429626052666240004738086746419869636588347128737979071538636862393384742181263586395124964113392701593451041303302606713250581084301933067985795521814}
23448 103688559383019616040924483115858212986356490094528934909023941955952199498776: {398327,725927,1218412,1358186,1846151,2061928,2199506,2319669,2543951,2961767,3193607,3444357,3517847,3656687,4100425,4157546,4165151,4580447,4920510,4994546,5248544,5273258,5546951,5822447,5857750,5904612,6509927,6824332,6942506,7029300,7332527,7497920,7651727,7775186,8049256,8061551,8078865,8435160,8470727,8617456,8969951,8997504,9055413,9422951,9489555,9649151,9694367,9694638,9920327,10122192,11182007,11387466,11919146,12392687,12526847,13062767,13136937,13196567,13274728,13419407,13647496,14068972,14390385,14397527,14619287,14934069,15062207,15349744,15353433,15572305,16030706,16121951,16518167,16576466,16781951,17045447,17177087,17268462,17440151,17666258,17938346,17949772,18052847,18314951,18358607,18686766,18707567,18751151,19231336,19296626,19506361,19787365,19794767,19881527,20346376,20380658,20444687,21092807,21308447,21635253,21739127,22246150,22367692,22889673,23080658,23282951,23349866,23440417,23539247,23744838,24429928,24887985,25119532,25669036,26034026,26086367,26547184,26695380,26718647,26836466,27103658,27483669,27765256,27866230,27935951,28135528,28312367,28475072,28562951,28604687,28813247,28960012,29079465,29188151,29865582,30033266,30301705,30355816,30474527,30829226,31018096,31052951,31235913,31652469,31917647,32034456,32204296,32328167,32656007,32681426,32882997,33146807,33439476,33486310,34150293,34287527,34421932,34607121,34895358,34896047,35098487,35138951,35358585,35502767,35527528,36038763,36229833,36362046,36626666,36911447,37134213,37151951,37392167,37411826,37449465,37715824,37911647,38708207,38986247,39146425,39539265,39580727,39668398,39808900,39855052,39897047,39946096,39968469,40173407,40183572,40370567,40528151,40724951,41549327,41901551,42175216,42430302,43261576,43288150,43459151,43904426,44233151,44364136,44731528,44939358,45388151,45426527,45449258,46345151,46975710,46988906,47145167,47148985,47447118,47449007,47770680,47950732,48055151,48669273,48809951,49033706,49288658,49411487,49524047,49868296,49909653,50107424,50160527,50309951,50322969,50831927,50955392,51203807,51389447,51760127,51830258,51945780,52055385,52431976,52842866,53271551,53308247,53742015,54040487,54105386,54800305,55277951,55408832,55525744,55599609,55603967,55820951,55853413,56001551,56101833,56370852,56542151,56578127,56578782,56669140,56757887,57120746,57224327,57324816,57549928,58473407,58985973,59536247,59666516,60064967,60238252,60275951,60363986,60612458,60802151,60837167,61749961,61988207,62057687,62100266,62170437,62196551,62334936,62466462,62716151,62888951,63089258,63440567,64490418,64571807,64582105,64743669,65083127,65287151,65760366,65998967,66061036,66471551,66505247,66808151,67009727,67278047,67478951,67999658,68002968,69108887,69218258,69307151,69801551,69927016,69998807,70126803,70190546,70294151,70317321,70652776,70752287,70784951,71143727,71566487,71577541,71740936,72601367,73019447,73211951,73691951,73915528,74012425,74042807,74138327,74297066,74468332,75257258,75468047,75876767,76064951,76346687,76502927,76503339,76970447,77498526,77534728,77768889,77807447,77900087,78085151,78115967,78208367,78286150,78409705,78667893,78669287,79165036,79235905,79341928,79484373,79768151,79786706,79790590,79919951,80222951,80708553,80786536,80970026,81007007,81097127,81277151,81442346,81456887,82367637,82590856,82736567,83154969,83175585,83767247,84115465,84497447,84575697,84966386,85237880,85460433,85971551,86832626,86964009,87226569,87297746,87306585,87424847,87989087,87994216,88214230,88226258,88458026,88522151,88720624,88814910,88992505,89003692,89259669,89330207,89518636,89614706,89627785,89938727,90351407,90767786,90884853,90951913,91007951,91307327,91588456,91795127,92065007,92260150,92360951,92521967,92658085,92914713,92917429,92923247,93127024,93269567,93322727,93460629,93667487,93826151,93943380,94091646,94195247,94615151,94735904,94850447,95083086,95164012,95293127,95371007,95534728,95555841,95748708,95892615,95914151,95984697,96025586,96837047,97158506,97294607,97446551,97547687,97615185,98252401,98352167,98427167,98738546,98950151,98993493,99049367,99115528,99413546,99420287,99810702,...,1512609727122012263673579663348337635826389494932036780446544530586660267229895934545426620705590461534910345197901542215908116485657962639840151985895323886357693193203801700161237089304200090801019616129687623222644982537513149631493342638085049321724587404069474398969766431580361164202652169587567798802723139173448853446276746559898607042208982523368573880577584835166605841023452890892265883814698668928226673571518240281031344289071019848045838575754133548490050269878786765200847861682165542256418734061573407450901341106576570803311268443038477907522093937169075406776472128031682232701877999615719278810934694702831471834306785793901879155567745606682715101527061670465719070280813240227124565469250020570533498612707838605480060499034147999581999758204555108680134094258407099763799263949442555449092713713766615880279808154699702999222162660474248797819903645605302249418309487528705510797634427577285512065827493290046657001987889903067302615010429010844652727963082012208691438546762886986423390605082129370428446446572853489705624416269799342840346469265002901104822726159747681300723377059323165592667333400491153207823115893974752028493813081069427370058338899929463254487474039659044598941464215723058543401498863086993907605416872661509711498423859334651560847054875855614555318197708286532770087283462611475756422940431062562738320674515459231993437119632071302570262505233987054046091953071147875842637344090855860825519141417608792822716776492273629783152397205381584032363213431062440997445157561351305913891119430391945865940095468255995741456760138757201113052848962990838044552140516829017117562900343150978658558478706802382862527647888335724646583606518570720257391254218969428354348101030660307578125461127973244598568948503924719071391629258813118188159581502763335981411787541592125924250519692379312737364323092433964158667798759783184977412804658418063660680015634577473833190070423423842682767211837059952185698282726682256830907856982509380221265699167030311209598980480123830155737823985871833711329074865536510936256459138984768772352950561528007577870327283022795476566289832431917019250185305953005782691320648756007261254061383857907123212420699658832717899139584618604320635099451308434042971963448298810541149031858647665059980935719225434564908868442790629190383794947362012960024837039688096110710910583242274897483672991917934195518508297353322881651466432977702474618879298967890831399080370157207880352966665848506589691750830464844160125698651177783002443230105446293950877621679057109859613162898275979018082679404159224231767797306555700064820469252776944990351991663930735740496360027386252820682439354988132499506553977297436742677975381845095042899415302460184191924564604467387552488103286972251973888580465545916871034473037573391386583187576873879217052962302402111303663722852614029157073153005660784383906475513299081612835477466643363230267246985726425932165687848227431795046218381841136442855058469769560931141196249338225259421319604023360330099503598843503912562147900845222353610574338731660235782270433845780984955972188961423112284020932042030671156822891383442534244699205926378528364508064246738150982309525806931334342802879240510245451139826423957818856832594907245584530760076750388091250093715742099790836027334615422322317280279064785182237156186606361811139225239709405781345609887464158181337429640708812506990307896229061959151132147806030069052903175096583955277639843757067996747967207934759094350735330701664375490916355059815163431667409598709157305714077601287975653932784681694710060757698421412558644439078999360007107130119629804454882520693106968607307955293590077113271895379592687446170089052390176561954953910069875871626452899601978693282721}
23449 104057098842584826607445933160419831741804037409249956318111582632155267270087: {46894,1523015,1804187,1827618,2037279,2577410,3092892,3299259,4592476,5783999,6236319,6560680,7043099,7380765,7491819,7540274,7872816,7909887,8530415,8786625,8856918,9372400,9788306,10061570,10236498,10350314,10413759,10543950,10771820,11246880,11254919,11615387,11662779,11941559,11996672,12073884,12652740,12926184,13431026,13496256,13782011,14541957,15183288,16593410,16827419,17059370,17081199,17224427,17515916,17586215,17803079,17878719,19046786,19187180,19912092,20354399,20471244,21103458,21376187,22437215,23024616,23228786,23987639,24039170,24046059,24235727,24294599,24618587,24662546,24864699,24915688,25432970,25785698,25902693,26198891,26499387,26561339,26907519,26924658,27084671,27140834,27959615,28030149,28178759,28847004,28944939,29430479,30519564,30537410,30570987,31086587,31242887,31399415,31659784,32086295,32396159,32565467,33001346,33054359,33183980,33369225,33551538,34051547,34445906,34620987,34706570,34952834,35024799,35169410,35453807,35593840,35617257,36200015,36644892,36903314,37180079,37679298,37853879,37944770,38503554,38772620,38818619,39051039,39140087,39820776,40043070,40254699,40255370,40594466,40655487,41647884,41799345,42097679,42203292,42712608,43002719,43027415,43440018,43634759,43843996,44168087,44409410,44585968,44798373,45049899,45533724,45650939,45877979,46142828,46243839,46527144,46882226,47144780,47512439,48051684,48297791,48306444,48467306,48482728,48585026,49022139,49512284,49761125,49805426,49818815,49932620,50159214,50229465,50356187,50516999,51632898,52343037,52393298,52719020,52872578,53291292,53578096,53909867,54076970,54543069,54939999,55041359,55455170,55914410,55938146,56117739,56573736,56978498,57157211,57972074,58463471,59502597,59713350,59782578,59919144,59938415,60275358,60631679,61186139,61272458,61495247,61511531,61821179,62335370,62634280,62773319,63017186,63038639,63262824,63645453,63694240,63709346,64478399,64676087,64892364,64895714,64932225,65539970,65856639,66546204,66787451,67097292,67239659,67409037,67842887,68097266,68173887,68202359,68489759,68517098,69060827,69261040,69407180,69424187,70126247,70281887,70463565,70483359,70688219,70836425,70901546,71170677,71242226,71543327,71656020,71926098,71937410,71986274,72073079,72266999,73242287,73550559,73686071,73932987,74132812,74583145,74802444,75161136,75297815,75438376,76433088,76952234,76994939,77322587,77630546,77745387,77918670,78113387,78647964,78932498,79076651,79228487,79241819,79264299,80139899,80405666,81014999,81158079,81486146,81691154,82576295,82637066,82893916,82983914,83113248,83288616,83395559,83592887,84024359,84556278,84868173,85003710,85439906,85490306,85681119,85788119,85987224,86324892,86427626,86726087,86799767,87113207,87408770,87680488,87985319,88151687,88315970,88352341,89499774,89529026,89676170,90329279,90357378,90545979,90670624,90918687,91107506,91415387,91606154,91696667,92394410,92707847,93085415,93137627,93150399,93502404,93699693,93756428,94408994,94633887,94823186,95312927,96132971,96735627,96918410,98640549,98956295,99091554,99177410,...,2016812969496016351564772884464450181101852659909382373928726040782213689639861246060568827607453948713213793597202056287877488647543950186453535981193765181810257590938402266881649452405600121068026154839583497630193310050017532841991123517446732428966116538759299198626355242107148218936869559450090398403630852231265137928368995413198142722945310031158098507436779780222141121364603854523021178419598225237635564762024320374708459052094693130727784767672178064653400359838382353601130482242887389675224978748764543267868454808768761071081691257384637210029458582892100542368629504042242976935837332820959038414579592937108629112409047725202505540756994142243620135369415560620958760374417653636166087292333360760711331483610451473973413998712197332775999677606073478240178792344542799685065685265923407265456951618355487840373077539599603998962883547298998397093204860807069665891079316704940681063512570103047349421103324386728876002650519870756403486680572014459536970617442682944921918062350515981897854140109505827237928595430471319607499221693065790453795292353337201473096968212996908400964502745764220790223111200654870943764154525299669371325084108092569826744451866572617672649965386212059465255285620964078057868665150782658543473889163548679615331231812446202081129406501140819407090930277715377026783044616815301008563920574750083651094232687278975991249492842761736760350006978649405394789270761530501123516458787807814434025521890145057096955701989698173044203196273842112043150951241416587996593543415135074551854825907189261154586793957674660988609013518342934817403798617321117392736187355772022823417200457534638211411304942403177150036863851114299528778142024760960343188338958625904472464134707547076770833948170630992798091931338566292095188839011750824250879442003684447975215716722122834565667359589839083649819097456578618878223731679710913303217072877890751547573354179436631777586760564565123577022949116079936247597710302243009107877142643345840295020932222707081612798640640165106874317098647829111615105433154048681248341945518646358363137267415370676770493769710697060635421719776575889359000247074604007710255094198341343015005415178477209497616560932878443623865519446158139094180132601744578723962617931065080721532042478196886746641247625633912753211824590387505587178393263149350613366449386250794814281214110989699863311563989223912260691344396471097175535288577303603299491839065290521108532107160209610507137288887798008786255667773953125546834264868237044003257640140595058601170162238742813146150883864367972024110239205545632309023729742074266753093959003702593320469322218574314320661813369848337094243252473317509999342071969729915656903967175793460057199220403280245589232752805956516736650804382629669298518107287394555828045964050097855182110916769165172289403949736536148404884963803485372209430870674214379178541967351065442150447303288857817640356329314301901242887583797636575726728291175788181923806744626359414574854928332450967012561759472031147106799338131791338550082863867793629804814099118308880314376360578461041313274629585281897483045361242722707561542430521844590045659598941235171371152677418995650867976412701075908445790403838987346993934853101898610425142443459876327446041013435667184121666791620989466387781369779487229763089707038753046909649541582141815748185633652945874375127479849952210908449906187611750009320410528305415945534842863741373425403870900128778607036853125009423995663956277246345459134313774268885833987888473413086884575556546131612209740952103468383967538577046242259613414343597895216744859252105332480009476173492839739273176694257475958143077273724786769484362527172790249928226785403186902082606605213426501162168603866135971591043628}
23450 104426939642287785248963280563440089693537854699683441125128750253758905086979: {70341,445189,796654,1451854,1846309,2436824,2716372,2741427,3240229,3657001,3692302,3866115,4123856,4211689,4399012,4626949,4639338,5087902,5179621,5593369,5740595,5923534,6387214,6418921,6556261,6888714,7035694,7104901,7313374,8200850,8315092,8330302,8743909,9152041,9160894,9423769,9695209,9841020,9966361,9989092,10101829,10497088,10507801,10546516,11093902,11182981,11310411,11644894,11715500,11809224,13019854,13285377,13464775,13648664,13885012,14058600,14664901,14665054,14682459,14995840,15092355,15303454,15328921,15354747,15525471,15550372,15815925,16098512,16123102,16123369,16157730,16651561,16870320,16941454,17046949,17234912,17939902,17995008,18110826,18360229,18752809,18845902,18979110,19298302,19388734,19389276,19796521,19840654,19926661,20146539,20244384,20446501,20705989,21741061,21801227,21894895,22364014,22385641,22642969,22774932,23838292,23925289,23983975,24785374,24890115,25053694,25589055,26088709,26125534,26273874,26393134,26549456,26838814,27294992,27702311,28137944,28356709,28570179,28607269,28732441,28780770,28795054,28857541,29232409,29238574,29357221,29868138,30124414,30699488,30706866,30849349,31144610,31168027,31344421,31655187,31838341,31961641,32061412,32084869,32243902,32699929,33036334,33152932,33563902,34090894,34354174,34534309,34536924,34843179,34880302,35142169,35332516,35876692,35899544,36058755,36105694,36231781,36629902,36717214,36834601,36954949,36993819,37373532,37415134,37435621,37502302,38149455,38462672,38512921,38593252,38678547,38751529,38989849,39012722,39574730,39589534,39763054,40177129,40386987,40413721,40692752,40711251,40761316,40889374,41479975,41592361,41944549,42185614,42422387,42616894,43230361,43270506,43478254,43928041,44492300,44735384,45430789,45545881,45779346,45806115,46161316,46565902,46699732,46807141,46880834,47078494,47489676,47491429,48286489,48399781,48465775,48513001,48852229,48859856,49502019,49775970,50202661,50239064,50314729,50327307,51208681,51338072,51668859,51765061,52059855,52068052,52172734,52429251,52430341,52754115,52762009,53094368,53313349,53390760,53437294,53672932,54082201,54207316,54804995,54967338,55354971,55530512,55609321,55732460,55871902,56151301,56271056,56367589,56518947,56583589,56624734,56917155,56950144,57125902,57209374,57626494,57678535,57755331,57920024,58158930,58376302,58727749,58834201,58930975,59365381,59731164,59894761,60064605,60066532,60383055,60603410,60711632,60843109,60891699,60949054,61658452,61681189,61890355,62036192,62105902,62410729,62415775,62471826,63240169,63304938,63835294,64068912,64167781,64408592,64475689,64656334,65089561,65160027,65312014,65362852,65765994,65898775,66008579,66293614,66511849,66612901,66614115,66878952,66972620,67217701,67519129,68300586,68575054,68843864,69115801,69214242,69790716,69792094,70196974,70277902,70323339,70717170,70792069,71005534,71055056,71183461,71573701,71962789,72059881,72077526,72459666,72640921,72700959,72724092,72877539,72930469,73026841,73253332,73603561,73822894,74177689,74268426,74303902,74708139,74784334,74823652,74898930,75238821,75412741,75431648,75507241,75823294,76354501,76541989,76720427,76916101,77289061,77416414,77449347,77846341,77972494,78124009,78216421,78292850,78589947,79078530,79161454,79308867,79336796,79617800,79710104,79794094,79892192,79936938,80346814,80367144,80503321,80741134,80865049,81056302,81115455,81135589,81315589,81449902,81495301,82107091,83098654,83182755,83276581,83803102,83871615,83907219,84350432,84418969,84860604,85467747,86523152,86576300,86581669,86758975,86918302,86958111,87519001,87603781,87808852,88466302,88728272,88950469,89367529,89463056,89570025,89673867,89699881,89878716,90413037,90414947,90776302,90853054,90898516,91017769,91344361,91669801,91832089,91908687,92155801,92236549,92397829,92558821,92666015,92690302,93503055,93951420,93977812,94290334,94297970,94525779,94860841,94894236,94898014,95251621,95329561,95541360,95564019,95901464,95950489,96110302,96490021,97338546,97343571,97558501,97619902,97936681,98067412,98309955,98463109,98577316,98822974,98986009,99048094,99060421,99579289,99736592,99819306,...,3025219454244024527347159326696675271652778989864073560893089061173320534459791869090853241411180923069820690395803084431816232971315925279680303971790647772715386386407603400322474178608400181602039232259375246445289965075026299262986685276170098643449174808138948797939532863160722328405304339175135597605446278346897706892553493119797214084417965046737147761155169670333211682046905781784531767629397337856453347143036480562062688578142039696091677151508267096980100539757573530401695723364331084512837468123146814901802682213153141606622536886076955815044187874338150813552944256063364465403755999231438557621869389405662943668613571587803758311135491213365430203054123340931438140561626480454249130938500041141066997225415677210960120998068295999163999516409110217360268188516814199527598527898885110898185427427533231760559616309399405998444325320948497595639807291210604498836618975057411021595268855154571024131654986580093314003975779806134605230020858021689305455926164024417382877093525773972846781210164258740856892893145706979411248832539598685680692938530005802209645452319495362601446754118646331185334666800982306415646231787949504056987626162138854740116677799858926508974948079318089197882928431446117086802997726173987815210833745323019422996847718669303121694109751711229110636395416573065540174566925222951512845880862125125476641349030918463986874239264142605140525010467974108092183906142295751685274688181711721651038282835217585645433552984547259566304794410763168064726426862124881994890315122702611827782238860783891731880190936511991482913520277514402226105697925981676089104281033658034235125800686301957317116957413604765725055295776671449293167213037141440514782508437938856708696202061320615156250922255946489197137897007849438142783258517626236376319163005526671962823575083184251848501039384758625474728646184867928317335597519566369954825609316836127321360031269154947666380140846847685365534423674119904371396565453364513661815713965018760442531398334060622419197960960247660311475647971743667422658149731073021872512918277969537544705901123056015155740654566045590953132579664863834038500370611906011565382641297512014522508122767715814246424841399317665435798279169237208641270198902616868085943926896597621082298063717295330119961871438450869129817736885581258380767589894724025920049674079376192221421821166484549794967345983835868391037016594706645763302932865955404949237758597935781662798160740314415760705933331697013179383501660929688320251397302355566004886460210892587901755243358114219719226325796551958036165358808318448463535594613111400129640938505553889980703983327861471480992720054772505641364878709976264999013107954594873485355950763690190085798830604920368383849129208934775104976206573944503947777160931091833742068946075146782773166375153747758434105924604804222607327445705228058314146306011321568767812951026598163225670954933286726460534493971452851864331375696454863590092436763682272885710116939539121862282392498676450518842639208046720660199007197687007825124295801690444707221148677463320471564540867691561969911944377922846224568041864084061342313645782766885068489398411852757056729016128493476301964619051613862668685605758481020490902279652847915637713665189814491169061520153500776182500187431484199581672054669230844644634560558129570364474312373212723622278450479418811562691219774928316362674859281417625013980615792458123918302264295612060138105806350193167910555279687514135993495934415869518188701470661403328750981832710119630326863334819197418314611428155202575951307865569363389420121515396842825117288878157998720014214260239259608909765041386213937214615910587180154226543790759185374892340178104780353123909907820139751743252905799203957386565442}
23451 104798086347212267714449849640321016112565792202859560786103423314924410004716: {93788,1194981,2132221,2177781,3046030,3395465,3608374,3655236,4074558,5154820,5498765,5538453,5924501,6185784,6598518,6767513,6959007,7631853,8885301,9184952,9580821,10333071,10393865,10552949,10553541,10970061,11567998,11942581,12301275,12472638,12486365,12495453,13121360,13183145,13741341,14086198,14644375,14761530,14983638,15080548,15607133,15745632,15819774,16640853,17060830,17356265,17467341,17573250,17713836,18251189,18744800,19437965,19529781,19576612,20123140,20356141,20472996,20700628,20827518,21087900,21324941,21543640,21997581,22493760,22509838,22955181,23230774,23325558,23883118,23993344,24147768,24184653,24236595,24620701,25305480,25412181,25852368,25929629,26862052,26909853,26992512,27086989,27166239,27462941,27564022,28268853,28468665,28947453,28995461,29083101,29083914,29760981,29797865,30366576,31412101,31711733,33186820,33546021,33654838,34118740,34162398,34448854,35031832,35172430,35606158,35757438,35918153,37178061,37183261,37580541,38093572,38141981,38173949,38374360,38486461,39143461,39188301,39283289,39410811,39589701,39824184,40062761,40076765,40258221,40708798,40942488,41441165,42206916,42431813,42752374,43171155,43192581,43857861,43959181,44165645,44799641,44802207,44845865,44874430,44920813,45186621,46049232,46060299,46457572,46716915,47774933,47975278,48078340,48092118,48241565,48365853,48471454,48589198,49237174,49325092,49554501,49729398,49831376,50345853,50680021,50754761,50865940,50951645,51136341,51531261,51571396,51595613,51805386,52320453,52397782,52998774,53122678,53815038,53849316,54158541,54169342,54188621,54258713,54281668,54944853,55075821,55615375,55919230,56060298,56122701,56176973,56253453,56357518,57392981,57694008,57701645,57889878,58374665,58519083,58860958,59362095,59384301,59644581,60222473,60238381,60995429,61039128,61074820,61141974,61334061,61516813,62173174,62485774,62798830,63278421,63319568,63711661,63925341,64024829,64172590,64792318,64905759,65085065,65130934,65217381,66002692,66108718,66367960,66738450,67091165,67103076,67759145,67939829,68103094,68307209,68669019,68891812,69093193,69241974,69413140,69665575,69746341,69848853,69905668,70049598,70193861,70321251,70338820,70617741,70907614,71187680,71234514,71584469,72064093,72400030,72676201,72981053,73289784,73389941,73806628,74360158,74663955,75083165,75358596,75707758,75889540,77007108,77073065,77545240,77637238,77862221,78102078,78259101,78280174,78767869,79381781,79641552,79777133,79960189,80086140,80155941,80509398,80510740,81188932,81222173,81310974,81617341,81703565,82451007,83295768,83598690,83715775,83807853,83913781,84195358,84406584,84937101,85098329,85425216,85688853,85814061,86005438,86054830,86439741,86880036,87238395,87269518,87564453,87687992,87779501,88336174,88482509,88818820,88838221,89171936,89596746,89646821,90099798,90905115,90975221,91067448,91146869,91301878,91423581,91566665,91704541,91755958,91899161,92285656,92315821,92487678,93054288,93158853,93529565,93707739,93764452,94289560,94957407,95024878,95752941,96103368,96595582,96612888,96934612,96965456,96984501,97139141,97170052,97230181,97691669,97968021,98044278,98336533,98648991,99024568,99170995,99440421,99522250,99610852,99637630,99865240,...,4537829181366036791020738990045012907479168484796110341339633591759980801689687803636279862116771384604731035593704626647724349456973887919520455957685971659073079579611405100483711267912600272403058848389062869667934947612539448894480027914255147965173762212208423196909299294741083492607956508762703396408169417520346560338830239679695821126626947570105721641732754505499817523070358672676797651444096006784680020714554720843094032867213059544137515727262400645470150809636360295602543585046496626769256202184720222352704023319729712409933805329115433722566281811507226220329416384095046698105633998847157836432804084108494415502920357381705637466703236820048145304581185011397157210842439720681373696407750061711600495838123515816440181497102443998745999274613665326040402282775221299291397791848327666347278141141299847640839424464099108997666487981422746393459710936815906748254928462586116532392903282731856536197482479870139971005963669709201907845031287032533958183889246036626074315640288660959270171815246388111285339339718560469116873248809398028521039407795008703314468178479243043902170131177969496778002000201473459623469347681924256085481439243208282110175016699788389763462422118977133796824392647169175630204496589260981722816250617984529134495271578003954682541164627566843665954593124859598310261850387834427269268821293187688214962023546377695980311358896213907710787515701961162138275859213443627527912032272567582476557424252826378468150329476820889349457191616144752097089640293187322992335472684053917741673358291175837597820286404767987224370280416271603339158546888972514133656421550487051352688701029452935975675436120407148587582943665007173939750819555712160772173762656908285063044303091980922734376383383919733795706845511774157214174887776439354564478744508290007944235362624776377772751559077137938212092969277301892476003396279349554932238413975254190982040046903732421499570211270271528048301635511179856557094848180046770492723570947528140663797097501090933628796941440371490467213471957615501133987224596609532808769377416954306317058851684584022733610981849068386429698869497295751057750555917859017348073961946268021783762184151573721369637262098976498153697418753855812961905298353925302128915890344896431623447095575942995179942807157676303694726605328371887571151384842086038880074511119064288332132731749726824692451018975753802586555524892059968644954399298933107423856637896903672494197241110471623641058899997545519769075252491394532480377095953533349007329690316338881852632865037171329578839488694827937054248038212477672695303391919667100194461407758330834971055974991792207221489080082158758462047318064964397498519661931892310228033926145535285128698245907380552575773693813402162657464309860916755921665741396637750613103419112720174159749562730621637651158886907206333910991168557842087471219459016982353151719426539897244838506432399930089690801740957179277796497063544682295385138655145523409328565175409308682793423588748014675778263958812070080990298510796530511737686443702535667060831723016194980707346811301537342954867916566884269336852062796126092013470468674150327602734097617779135585093524192740214452946928577420794003028408637721530736353419479271873456570497784721736753592280230251164273750281147226299372508082003846266966951840837194355546711468559819085433417675719128217344036829662392474544012288922126437520970923688687185877453396443418090207158709525289751865832919531271203990243901623804277283052205992104993126472749065179445490295002228796127471917142232803863926961798354045084130182273095264237675933317236998080021321390358889413364647562079320905821923865880770231339815686138778062338510267157170529685864861730209627614879358698805936079848163}
23452 105170543538351504502601645939630064606163167362166599283260273783520250435919: {117235,140682,890378,1240147,1593308,1939627,2637307,2903708,3055051,3692618,4027267,4569045,4873648,5412561,5432744,5482854,5823451,6098707,6111837,6443525,6480458,6785587,7314002,7384604,7732230,8036833,8153947,8247712,8423378,8798024,8971507,9253898,9278676,9897777,9922051,10175804,10328347,10359242,11004067,11186738,11273851,11481190,11677987,11847068,12774428,12837842,13112522,13555387,13688947,13777428,14071388,14209802,14621851,14626748,15551227,15948451,16401700,16630184,16660604,16872787,17267851,17351997,17487818,17530867,18304082,18318187,18321788,18708957,18847538,18850685,18972307,19390418,19682040,19885051,19932722,19978184,20203658,20534851,20994176,21015602,21093032,21129297,21182851,21829051,22087027,22142295,22187804,22365962,22475457,22620822,22859227,23289788,23431000,23618448,23729661,23756851,24470765,24650947,24778387,25153925,25591245,25875785,26039708,26302051,26359875,26554987,26570754,26929550,27186067,27297328,27770024,27940987,28117200,29193427,29329802,29330108,29364918,29991680,30065851,30184710,30314467,30606908,30652853,30657842,30709494,31050942,31100744,31241277,31631850,31676707,32197024,32246204,32246738,32315460,33303122,33397867,33577565,33740640,33764757,33882908,34093898,34131187,34375051,34469824,34846161,34983451,34988337,35226307,35824677,35879804,35990016,36221652,36720458,36834941,37505618,37691804,37958220,38596604,38777468,38778552,39593042,39681308,39853322,40293078,40488768,40732507,40893002,41346033,41411978,41483525,41557051,41909347,42648425,43482122,43602454,43625871,43789790,44241427,44728028,44771282,45050851,45285938,45396667,45549864,47616965,47676584,47850578,47967950,48139867,48819187,49570748,49608451,49780230,50107388,50394187,50482257,51178110,51243597,51287851,51673281,52177418,52251068,52547748,52758645,52786268,52951051,53098912,53281747,53409237,53636157,53677628,53831467,54589984,55361107,55404622,55903987,56012347,56275888,56713418,57140358,57214538,57464882,57561540,57590108,57629107,57715082,58071965,58464818,58477148,58714442,59653747,59736276,59759587,60097925,60248828,60814027,61063197,61398976,61413732,61547851,61656365,61698698,62069851,62289220,62336054,62688842,62797627,63310374,63418627,63582425,63676682,63923282,64122824,64128561,64169738,64464245,64487804,64652851,64857547,65164051,65399858,65673451,66072668,66305864,66888667,66989467,67127804,67311645,67852085,67993507,68181788,68708348,69068618,69073848,69188851,69683851,69686358,69760604,70284338,70373827,70472107,70665032,71753384,71799088,71962917,72117510,72138177,72211388,72422587,72463562,72707181,72883797,73098451,73259804,73434428,73669202,73855761,73909898,73987638,74594097,74747064,74830268,74871242,75004604,75955051,76298910,76343525,76424851,76726993,76925344,77025842,77186504,77357094,77503058,77637907,77708079,77979698,78025444,78101227,78562747,78596673,78930667,79022467,79149460,79179068,79498161,79526108,79684017,79845427,80354258,80722557,80749949,80773974,80827442,81254013,81385504,81422502,81473851,81522632,81778748,81922051,82190107,82503365,82959950,83184722,83432467,83878845,83889098,84090447,84136051,84371228,84536277,84573451,84844774,85182787,85233788,86114765,86460722,86476627,86541012,86646497,86766425,86834817,86956508,87382085,87415147,87769649,87838867,87856082,87923525,88176547,88291437,88429051,88597027,88848451,88984600,89470768,90861578,91091762,91327051,91558692,91612230,91712961,92258285,92322632,92380987,92783107,92943451,93131804,93259761,93343051,93399464,93581947,93614282,93728661,93761668,94156988,94198245,94861925,94979352,94982858,95702851,96244147,96258885,96321187,96572978,96628627,96799562,96931550,97026002,97035653,97188477,97392187,97696401,97704458,97719712,98374051,99004038,99121051,99163077,99551940,...,6050438908488049054694318653393350543305557979728147121786178122346641068919583738181706482822361846139641380791606168863632465942631850559360607943581295545430772772815206800644948357216800363204078464518750492890579930150052598525973370552340197286898349616277897595879065726321444656810608678350271195210892556693795413785106986239594428168835930093474295522310339340666423364093811563569063535258794675712906694286072961124125377156284079392183354303016534193960201079515147060803391446728662169025674936246293629803605364426306283213245073772153911630088375748676301627105888512126728930807511998462877115243738778811325887337227143175607516622270982426730860406108246681862876281123252960908498261877000082282133994450831354421920241996136591998327999032818220434720536377033628399055197055797770221796370854855066463521119232618798811996888650641896995191279614582421208997673237950114822043190537710309142048263309973160186628007951559612269210460041716043378610911852328048834765754187051547945693562420328517481713785786291413958822497665079197371361385877060011604419290904638990725202893508237292662370669333601964612831292463575899008113975252324277709480233355599717853017949896158636178395765856862892234173605995452347975630421667490646038845993695437338606243388219503422458221272790833146131080349133850445903025691761724250250953282698061836927973748478528285210281050020935948216184367812284591503370549376363423443302076565670435171290867105969094519132609588821526336129452853724249763989780630245405223655564477721567783463760381873023982965827040555028804452211395851963352178208562067316068470251601372603914634233914827209531450110591553342898586334426074282881029565016875877713417392404122641230312501844511892978394275794015698876285566517035252472752638326011053343925647150166368503697002078769517250949457292369735856634671195039132739909651218633672254642720062538309895332760281693695370731068847348239808742793130906729027323631427930037520885062796668121244838395921920495320622951295943487334845316299462146043745025836555939075089411802246112030311481309132091181906265159329727668077000741223812023130765282595024029045016245535431628492849682798635330871596558338474417282540397805233736171887853793195242164596127434590660239923742876901738259635473771162516761535179789448051840099348158752384442843642332969099589934691967671736782074033189413291526605865731910809898475517195871563325596321480628831521411866663394026358767003321859376640502794604711132009772920421785175803510486716228439438452651593103916072330717616636896927071189226222800259281877011107779961407966655722942961985440109545011282729757419952529998026215909189746970711901527380380171597661209840736767698258417869550209952413147889007895554321862183667484137892150293565546332750307495516868211849209608445214654891410456116628292612022643137535625902053196326451341909866573452921068987942905703728662751392909727180184873527364545771420233879078243724564784997352901037685278416093441320398014395374015650248591603380889414442297354926640943129081735383123939823888755845692449136083728168122684627291565533770136978796823705514113458032256986952603929238103227725337371211516962040981804559305695831275427330379628982338123040307001552365000374862968399163344109338461689289269121116259140728948624746425447244556900958837623125382439549856632725349718562835250027961231584916247836604528591224120276211612700386335821110559375028271986991868831739036377402941322806657501963665420239260653726669638394836629222856310405151902615731138726778840243030793685650234577756315997440028428520478519217819530082772427874429231821174360308453087581518370749784680356209560706247819815640279503486505811598407914773130884}
23453 105544315812663262656151576624738350069366772950794132843809653312485956593632: {187576,211023,1335567,1991635,2389962,2835151,3629635,4264442,4355562,4753651,5538927,6092060,6790930,7001683,7216748,7310472,7563691,7698271,8149116,8224281,9230755,9720687,10309640,10971003,10997530,11067727,11076906,11598345,11849002,12371568,12471667,12635067,12719755,13197036,13535026,13880847,13918014,14551411,14717971,14808835,15263706,15538863,15968035,16683487,16780107,17221785,17480911,17589235,17770602,18252751,18283435,18369904,18456403,18765307,19161642,19256763,19668783,20502125,20666142,20787730,20825755,21105898,21107082,21314703,21569587,21940122,22902235,23135996,23885162,24298771,24602550,24945276,24972730,24990906,25202203,26231727,26242720,26366290,26443087,26617291,27213151,27456123,27482682,27734755,27976267,28172396,28271307,29085627,29112235,29288750,29523060,29899083,29967276,30161096,30305487,30644107,31214266,31368451,31491264,31523403,31639548,31714447,32456203,32549635,32786707,33281706,33548943,33591151,33931233,34121660,34267363,34712530,34934682,35146500,35427672,35921227,36502378,36662635,37489600,38177227,38258635,38395267,38486011,38686351,38875930,39059562,39153224,39216403,39286651,39856131,40246280,40307755,40394325,40638691,40712282,40856083,40945992,41199547,41401256,41655036,41717011,41739247,42175800,42353635,42649882,43087280,43224931,43994703,43995162,44047377,44280907,44776027,44849755,44987520,45019676,45114667,45277065,45382651,45910362,45986763,46064241,46461548,46576413,46651116,47114755,47423791,47447775,47766236,47986688,48245755,48295536,48369306,48370107,48471835,48473190,48850351,49241402,49601635,49954683,50070187,50610960,50824362,50988331,51140847,51704736,51859258,52055923,53230603,53724104,53819706,53985024,54173978,54332478,54925882,55050811,55080687,55128044,55261663,55910035,56107471,56258427,56537706,56937330,57894906,57990922,58017631,58166202,58167828,58465747,59389563,59484667,59521962,59595730,59779983,60051247,60439617,60642091,60733152,61000687,61339503,61505851,61831903,61963435,62117967,62131651,62634235,62784211,62824202,63423466,64375747,65223183,65313835,65403681,65618851,65684685,65982835,66060691,66373640,67092042,67097035,67156923,67309676,67538191,67928907,68237480,68324796,68568907,68897708,69659827,69853627,70063664,70344860,71212316,71253967,71332303,71514876,71655643,71775867,71836306,71951925,71987635,72085507,72093967,73018051,73096435,73396243,73494511,74356122,74366522,74461327,74670345,75161082,75311035,75454987,75575587,75665707,76187144,76283962,76347898,76390147,76748720,76767165,76815811,76972922,77861525,78266127,78286922,78376602,78566578,78821622,79131151,79179402,79648368,80055523,80125522,80153530,80516442,80609755,80782303,80847967,81417596,81724531,81884976,82590835,82855483,82882330,83106933,83254063,83909755,83975467,84413832,84599827,84863626,85070127,85227235,85504748,85710537,85802851,85821807,85885435,86197323,86342310,86385162,86572623,86613151,87200755,87697227,87715722,87918362,88071663,88331290,88490107,89249467,89563531,89599282,89604414,89691730,89748860,89841626,90252163,90264235,90373242,91119091,91574755,91793035,91907083,92098464,92120598,92211631,92548047,92915144,93433830,93504081,93537835,93755755,93927631,94033263,94249411,94584751,94862803,94965561,95515023,95549866,95724367,95884923,95950556,96149647,96156680,96184236,96254607,96483130,96530851,96731706,96942908,97147567,97178396,97531805,97645027,98099787,98474348,98643787,98650184,98936825,98973835,99109002,99407635,99458796,99662752,...,9075658362732073582041477980090025814958336969592220682679267183519961603379375607272559724233542769209462071187409253295448698913947775839040911915371943318146159159222810200967422535825200544806117696778125739335869895225078897788960055828510295930347524424416846393818598589482166985215913017525406792816338835040693120677660479359391642253253895140211443283465509010999635046140717345353595302888192013569360041429109441686188065734426119088275031454524801290940301619272720591205087170092993253538512404369440444705408046639459424819867610658230867445132563623014452440658832768190093396211267997694315672865608168216988831005840714763411274933406473640096290609162370022794314421684879441362747392815500123423200991676247031632880362994204887997491998549227330652080804565550442598582795583696655332694556282282599695281678848928198217995332975962845492786919421873631813496509856925172233064785806565463713072394964959740279942011927339418403815690062574065067916367778492073252148631280577321918540343630492776222570678679437120938233746497618796057042078815590017406628936356958486087804340262355938993556004000402946919246938695363848512170962878486416564220350033399576779526924844237954267593648785294338351260408993178521963445632501235969058268990543156007909365082329255133687331909186249719196620523700775668854538537642586375376429924047092755391960622717792427815421575031403922324276551718426887255055824064545135164953114848505652756936300658953641778698914383232289504194179280586374645984670945368107835483346716582351675195640572809535974448740560832543206678317093777945028267312843100974102705377402058905871951350872240814297175165887330014347879501639111424321544347525313816570126088606183961845468752766767839467591413691023548314428349775552878709128957489016580015888470725249552755545503118154275876424185938554603784952006792558699109864476827950508381964080093807464842999140422540543056096603271022359713114189696360093540985447141895056281327594195002181867257593882880742980934426943915231002267974449193219065617538754833908612634117703369168045467221963698136772859397738994591502115501111835718034696147923892536043567524368303147442739274524197952996307394837507711625923810596707850604257831780689792863246894191151885990359885614315352607389453210656743775142302769684172077760149022238128576664265463499453649384902037951507605173111049784119937289908798597866214847713275793807344988394482220943247282117799995091039538150504982789064960754191907066698014659380632677763705265730074342659157678977389655874108496076424955345390606783839334200388922815516661669942111949983584414442978160164317516924094636129928794997039323863784620456067852291070570257396491814761105151547387626804325314928619721833511843331482793275501226206838225440348319499125461243275302317773814412667821982337115684174942438918033964706303438853079794489677012864799860179381603481914358555592994127089364590770277310291046818657130350818617365586847177496029351556527917624140161980597021593061023475372887405071334121663446032389961414693622603074685909735833133768538673704125592252184026940937348300655205468195235558271170187048385480428905893857154841588006056817275443061472706838958543746913140995569443473507184560460502328547500562294452598745016164007692533933903681674388711093422937119638170866835351438256434688073659324784949088024577844252875041941847377374371754906792886836180414317419050579503731665839062542407980487803247608554566104411984209986252945498130358890980590004457592254943834284465607727853923596708090168260364546190528475351866634473996160042642780717778826729295124158641811643847731761540462679631372277556124677020534314341059371729723460419255229758717397611872159696326}
23454 105919407783125117010640796799136497479660139963797945619538167942823990915217: {164129,234470,281364,538913,866429,1780756,1939793,2265629,2480294,2962529,3186616,3584943,3657629,3796433,3879254,5272529,5274614,5807416,5823953,5961629,6110102,6396663,6511613,6533343,7197473,7385236,7615075,7790429,8054534,8472929,8609213,8836193,9020935,9138090,9153629,9244253,9747296,9968093,10186395,10193873,10599773,10825122,10865488,10965708,11274833,11646902,12197414,12223674,12530129,12887050,12960916,13200029,13556573,13571174,13734653,14628004,14667473,14756129,14769208,15420029,15464460,16073666,16307894,16495424,16496295,16522529,16615359,16654493,16846756,17181629,17596048,17773503,17943014,18363473,18507796,18557352,19795554,19844102,19886813,19930193,20016929,20302539,20351608,20536673,20656694,20718484,20877021,21443453,21830993,22008134,22373476,22547702,22732733,22895559,22904093,22962380,23355974,23694136,23801633,24312929,25548856,25670753,25675684,25924433,26093393,26225044,26304413,26390959,26655903,27110774,27377894,27554856,28142776,28419604,28445393,28737629,28742463,28821053,28919995,28946129,29237693,29243702,29253496,30068573,30482813,30999213,31102454,31181595,31350113,31432529,31658847,31660623,31896902,31926353,32787773,32803400,32910183,33155873,33260368,33321208,33745574,33808673,34259071,34535702,34621793,34703994,34975636,35061734,35215495,35229533,35714429,35827743,36226099,36318929,36608164,36636374,36643576,36903825,36921629,37417914,37459095,37486359,37695076,37701370,37802333,37944614,38041853,38780836,39364080,39549435,39770102,39865444,39956368,40302929,40407316,40500029,41069702,41224023,41560913,41600093,41952353,41988352,42031204,42186064,42258594,42365702,42382013,42652075,42654929,43532203,43658102,43933125,43936253,44129633,44174054,44284590,44375608,44731924,44950914,45093533,45241644,45439313,45554429,45631133,45718454,46579576,46821399,46862000,46892129,47008591,47236896,47459322,47513702,47576273,48030929,48597629,48861473,48941530,49275293,49301894,49538129,49556774,49922559,50307850,50398973,50958113,51182490,51218429,51292733,51751570,51886013,52068795,52079416,52402023,52604102,52719750,53109974,53141508,53323553,53433629,53859100,54372134,54594656,54753567,55076129,55540048,55728593,55881974,56162129,56234273,56234400,56274595,57670433,58076935,58313895,58386854,58589343,58597073,58659604,58660216,58729836,58916573,59659553,59707795,59983360,60131702,60369420,60628934,60854993,61068423,61213816,61305706,61315684,61418988,61553873,61762913,62101884,62201488,62422973,62482554,63263700,63353414,63459293,63974823,64248929,64394048,64492408,64493476,64630920,65170493,65713853,65992743,66018593,66606244,66626129,66663751,66795734,67029713,67155130,67298129,67481280,67529514,67765816,68033633,68187796,68262374,68300129,68732093,68750102,68865543,68910055,68939648,69129629,69195773,69228833,69690833,69692322,69966902,69976674,70118429,70282529,70452614,70511933,71360573,71649354,71685533,71759608,71980032,72443304,72553959,72709785,72720029,72945233,73105853,73440916,73522529,73669882,73862103,74160929,74574173,75011236,75383608,75491153,75900029,75916440,76236543,76432673,76620113,76994129,77193208,77554936,77557104,77788887,77924129,78016733,78140093,78232529,78601553,78938813,79186084,79362616,79706644,80157053,80586156,80729559,80977536,81122429,81260967,81300751,81465014,81482333,81498717,81512273,81786004,81930593,81960413,82317629,82388823,82692066,82823956,82967050,83114102,83441213,83818694,84137095,84174113,84436733,84806559,85018013,85296850,85394129,85405995,86122135,86318911,86842359,86964244,86986383,87204908,87249303,87251742,87452753,87537629,87579580,87931075,88466513,88482854,89015395,89282943,89303393,89393595,89442173,89456056,89542564,89774429,90101702,90249943,90380573,90517793,90571876,90793334,91099728,91336913,91364093,91418429,91608353,91906013,92175773,92310353,92417873,92552093,93432929,93618653,93777533,94226129,94236303,94305053,94488929,94881629,94992919,95135199,95233930,95324513,95353168,95402429,95701156,95868413,95935900,96279734,96511313,96639293,97402973,97580129,97638374,97655933,98008733,98460029,98534993,99132113,99141496,99216902,99527633,99560460,99650813,99872033,...,13613487544098110373062216970135038722437505454388331024018900775279942405069063410908839586350314153814193106781113879943173048370921663758561367873057914977219238738834215301451133803737800817209176545167188609003804842837618346683440083742765443895521286636625269590727897884223250477823869526288110189224508252561039681016490719039087463379880842710317164925198263516499452569211076018030392954332288020354040062143664162529282098601639178632412547181787201936410452428909080886807630755139489880307768606554160667058112069959189137229801415987346301167698845434521678660988249152285140094316901996541473509298412252325483246508761072145116912400109710460144435913743555034191471632527319162044121089223250185134801487514370547449320544491307331996237997823840995978121206848325663897874193375544982999041834423423899542922518273392297326992999463944268239180379132810447720244764785387758349597178709848195569608592447439610419913017891009127605723535093861097601874551667738109878222946920865982877810515445739164333856018019155681407350619746428194085563118223385026109943404535437729131706510393533908490334006000604420378870408043045772768256444317729624846330525050099365169290387266356931401390473177941507526890613489767782945168448751853953587403485814734011864047623493882700530997863779374578794930785551163503281807806463879563064644886070639133087940934076688641723132362547105883486414827577640330882583736096817702747429672272758479135404450988430462668048371574848434256291268920879561968977006418052161753225020074873527512793460859214303961673110841248814810017475640666917542400969264651461154058066103088358807927026308361221445762748830995021521819252458667136482316521287970724855189132909275942768203129150151759201387120536535322471642524663329318063693436233524870023832706087874329133318254677231413814636278907831905677428010188838048664796715241925762572946120140711197264498710633810814584144904906533539569671284544540140311478170712842584421991391292503272800886390824321114471401640415872846503401961673789828598426308132250862918951176555053752068200832945547205159289096608491887253173251667753577052044221885838804065351286552454721164108911786296929494461092256261567438885715895061775906386747671034689294870341286727828985539828421473028911084179815985115662713454154526258116640223533357192864996398195249180474077353056927261407759666574676179905934863197896799322271569913690711017482591723331414870923176699992636559307225757474183597441131287860600047021989070949016645557898595111513988736518466084483811162744114637433018085910175759001300583384223274992504913167924975376621664467240246476275386141954194893192495558985795676930684101778436605855386094737722141657727321081440206487972392929582750267764997224189913251839310257338160522479248688191864912953476660721619001732973505673526262413658377050947059455158279619691734515519297199790269072405222871537833389491190634046886155415965436570227985695526227926048380270766244044027334791876436210242970895532389591535213059331107607001182495169048584942122040433904612028864603749700652808010556188388378276040411406022450982808202292853337406755280572578220643358840785732262382009085225913164592209060258437815620369711493354165210260776840690753492821250843441678898117524246011538800900855522511583066640134405679457256300253027157384652032110488987177423632036866766379312562912771066061557632360189330254270621476128575869255597498758593813611970731704871412831849156617976314979379418247195538336470885006686388382415751426698411591780885395062135252390546819285792713027799951710994240063964171076668240093942686237962717465771597642310694019447058416334187015530801471511589057594585190628882844638076096417808239544489}
23455 106295824078789911545003464268792295982707230192104658969982087818487085590896: {351705,375152,422046,2225945,2671134,2788289,3350633,3720441,3983270,4779924,5081489,5670302,5818881,7259270,7911921,8453537,8528884,8711124,9165153,9231545,9507302,11077854,12081801,12184120,12923057,13080041,13581860,13707135,14003366,14433496,14620944,15127382,15396542,16201145,16237683,16298232,16448562,16449497,17470353,17807657,18285005,18296121,18335511,18461510,18766913,19330575,19441374,20356761,20619280,20732369,21058445,21571433,21942006,21995060,22135454,22153812,22177181,22355249,23134745,23196690,23698004,24110499,24461841,24624929,24743136,24943334,25270134,25439510,25596809,25898105,26394072,26619569,26914521,27070052,27761694,27836028,27966845,28702975,29102822,29156057,29435942,29617670,29693331,29748737,29766153,30527412,30985041,31077726,31250921,31936070,32063129,32094605,32781305,32789513,33012201,33062861,33366974,33560214,33821553,34443570,34961822,35033961,35058857,35178470,35524505,35541204,36505502,36566870,36739808,36912806,37530614,38323284,38398553,38513526,38689673,38828657,39337566,39698633,40642169,40666161,40757129,41004250,41066841,41203073,41332284,41575460,41651510,42211796,42214164,42629406,43013777,43139174,43209281,43719545,43865553,43880244,45118541,45569489,45662681,45720233,45760205,45804470,46271992,46653681,47118845,47770324,47845353,48310217,48476045,48512489,48597542,49205100,49328201,49361873,49831805,49890552,49945460,49981812,50328449,50404406,50509145,50618361,51327689,51803553,52055991,52331981,52463454,52485440,52539005,52592601,52716749,52732580,52886174,53234582,53562089,54426302,54912246,54954561,54965364,55469510,55914905,55952534,56126871,56344792,56430857,56542614,56552055,56916921,57732233,58171254,58224470,58577500,59046120,59295089,59655153,59798166,59934552,60322192,60610974,61288214,61511153,61527377,61604553,62428532,62736902,62789657,62982528,63046806,63279096,63387891,63428894,63548553,64912406,65099270,65487153,65573414,65960657,66261081,66426885,66563412,67097886,67182302,67323875,67426371,67544057,67860569,67862466,68219897,68243320,68534726,68577681,69078713,69425060,69441257,69442289,69869364,70144289,70293000,70300061,70589849,70855344,71188983,71270553,71842454,72091721,72688733,73004756,73261121,73324505,73325270,73412295,73832537,73952841,74335161,74463953,74467721,74979200,75461775,76354454,76517270,76644605,76773735,76790534,76972022,77372702,77627355,77751860,78119124,78274049,78306448,78432806,78573302,78906153,79079625,79262201,79640033,79664961,79712262,80492560,80615510,80616845,80788650,81035981,81277382,81424564,81558201,81658433,81712166,81891984,82399094,82802512,83257805,83310072,83315249,83434022,83478494,83699069,83822961,84351600,84707270,85201961,85234745,85299764,86174560,86449862,86748809,86822093,87235481,87580281,87687929,87989406,87990324,88094754,88561814,89552054,89699510,89975040,90039352,90197553,90229334,90352637,90554130,90765302,90943401,91439369,91720289,91801145,91820724,91958559,91973526,92128482,92288249,92375969,92923096,93152826,93302232,93518633,93723831,93764045,93935849,94229510,94592873,94660313,94847582,94895550,95030121,95038109,95337449,95532472,95973376,96491510,96591072,96738612,96740214,96793913,96943670,96946380,97700702,98442353,98482804,98982605,99203270,99633305,99909366,...,18151316725464147164082955960180051629916673939184441365358534367039923206758751214545119448467085538418924142374818506590897397827895551678081823830743886636292318318445620401934845071650401089612235393556251478671739790450157795577920111657020591860695048848833692787637197178964333970431826035050813585632677670081386241355320958718783284506507790280422886566931018021999270092281434690707190605776384027138720082858218883372376131468852238176550062909049602581880603238545441182410174340185986507077024808738880889410816093278918849639735221316461734890265127246028904881317665536380186792422535995388631345731216336433977662011681429526822549866812947280192581218324740045588628843369758882725494785631000246846401983352494063265760725988409775994983997098454661304161609131100885197165591167393310665389112564565199390563357697856396435990665951925690985573838843747263626993019713850344466129571613130927426144789929919480559884023854678836807631380125148130135832735556984146504297262561154643837080687260985552445141357358874241876467492995237592114084157631180034813257872713916972175608680524711877987112008000805893838493877390727697024341925756972833128440700066799153559053849688475908535187297570588676702520817986357043926891265002471938116537981086312015818730164658510267374663818372499438393241047401551337709077075285172750752859848094185510783921245435584855630843150062807844648553103436853774510111648129090270329906229697011305513872601317907283557397828766464579008388358561172749291969341890736215670966693433164703350391281145619071948897481121665086413356634187555890056534625686201948205410754804117811743902701744481628594350331774660028695759003278222848643088695050627633140252177212367923690937505533535678935182827382047096628856699551105757418257914978033160031776941450499105511091006236308551752848371877109207569904013585117398219728953655901016763928160187614929685998280845081086112193206542044719426228379392720187081970894283790112562655188390004363734515187765761485961868853887830462004535948898386438131235077509667817225268235406738336090934443927396273545718795477989183004231002223671436069392295847785072087135048736606294885478549048395905992614789675015423251847621193415701208515663561379585726493788382303771980719771228630705214778906421313487550284605539368344155520298044476257153328530926998907298769804075903015210346222099568239874579817597195732429695426551587614689976788964441886494564235599990182079076301009965578129921508383814133396029318761265355527410531460148685318315357954779311748216992152849910690781213567678668400777845631033323339884223899967168828885956320328635033848189272259857589994078647727569240912135704582141140514792983629522210303094775253608650629857239443667023686662965586551002452413676450880696638998250922486550604635547628825335643964674231368349884877836067929412606877706159588979354025729599720358763206963828717111185988254178729181540554620582093637314260701637234731173694354992058703113055835248280323961194043186122046950745774810142668243326892064779922829387245206149371819471666267537077347408251184504368053881874696601310410936390471116542340374096770960857811787714309683176012113634550886122945413677917087493826281991138886947014369120921004657095001124588905197490032328015385067867807363348777422186845874239276341733670702876512869376147318649569898176049155688505750083883694754748743509813585773672360828634838101159007463331678125084815960975606495217109132208823968419972505890996260717781961180008915184509887668568931215455707847193416180336520729092381056950703733268947992320085285561435557653458590248317283623287695463523080925359262744555112249354041068628682118743459446920838510459517434795223744319392652}
23456 106673569344841411483518648537537193920282704408460324925049665949128719453860: {328258,468940,562728,633069,1077826,1732858,3561512,3796759,3879586,4006701,4531258,4960588,5318983,5925058,5974905,6373232,6557959,7169886,7243759,7315258,7592866,7758508,8505453,9154423,10104463,10545058,10549228,10645759,10661105,10888905,11614832,11647906,11923258,12220204,12629309,12793326,13023226,13066686,14260953,14394946,14770472,15230150,15332959,15580858,16109068,16616781,16787863,16945858,16977325,17183143,17218426,17672386,17840503,18041870,18276180,18307258,18488506,19494592,19931959,19936186,20372790,20387746,20451943,21005049,21199546,21650244,21730976,21931416,22549666,22649023,22691073,23094813,23293804,24315103,24394828,24447348,24672843,25060258,25715359,25774100,25921832,26400058,27113146,27142348,27469306,27493825,27692265,28740223,28865359,29162061,29256008,29334946,29365183,29512258,29538416,29622505,30840058,30928920,31476583,31970359,32093623,32147332,32615788,32913009,32990848,32992590,33045058,33203181,33230718,33308986,33693512,33837565,34363258,34795035,34908823,35192096,35547006,35886028,36120943,36362503,36726946,36965143,37015592,37114704,37415001,37905201,38159265,38642959,39591108,39688204,39773626,39860386,40033858,40306663,40487993,40543183,40605078,40703216,41073346,41313388,41436968,41603959,41642541,41754042,42886906,43654233,43661986,44016268,44153913,44426505,44746952,45095404,45465466,45558703,45673759,45791118,45808186,45924760,46362583,46616589,46711948,47388272,47603266,47904105,48073303,48168769,48413503,48526759,48625858,49301693,50050461,50329063,50340321,51097712,51223303,51341506,51351368,51447149,51665355,51848866,51890959,51969325,52186786,52442733,52450088,52608826,52764745,52767705,52781918,53311806,53438743,54221548,54755788,54758253,54850305,55081423,55109712,55369209,55733959,56167543,56275759,56285552,56295921,56839208,56890786,56923543,57475258,57484926,57642106,57770289,57839990,57892258,58475386,58487404,58506992,58851343,59006349,59712905,60137146,60965626,61506375,61998426,62204908,62220943,62363190,62431825,62477265,62533063,62700226,62865058,63258823,63317694,63321246,63793804,63852706,63944109,64289503,64597303,64708761,65575546,65606800,65820366,65915725,66311746,66520736,66632743,66642416,66733759,67237759,67491148,67617346,68518142,68706705,68738959,69071404,69235759,69243586,69407988,69951272,70123468,70322383,70430990,70459066,71428858,71655486,71692759,72081703,72178759,72452198,72637858,72896313,73049023,73216328,73221875,73272748,73287152,73721863,73807650,73843258,74200303,74835828,74918190,74972718,75390152,75402740,75435823,75530359,75604666,75606609,75889228,76083706,77312863,77561672,78035665,78240583,78695181,78728160,78784433,79098870,79329261,79540204,79730888,79851873,79912736,80605858,80814632,81000058,81160903,81307709,81520759,81639453,81968959,82139404,82368369,82448046,83121826,83200186,83204265,83590913,83904706,83928801,83976704,84062408,84372128,84517188,84533023,84731404,84764026,84813921,85055959,85304150,85309858,86694823,86781325,87064406,87256881,87316204,87336705,87631759,87866250,87872506,88259266,88348108,88569180,88751216,89463848,89697249,89901828,90187066,90483288,90878626,90916461,90965359,91108858,91255945,91262266,91373959,91436908,91932321,92266543,92588959,93070423,93159152,93310183,93642798,93724000,93784258,94017182,94105353,94473792,94499263,94570209,94918644,95027404,95143341,95152546,95282983,95360959,96061858,96474077,96521959,97189825,97195258,97368609,97590943,97648905,97666759,97722946,97883060,98044759,98360121,98495983,98550586,98603788,99076258,99093583,99113548,99845118,...,27226975088196220746124433940270077444875010908776662048037801550559884810138126821817679172700628307628386213562227759886346096741843327517122735746115829954438477477668430602902267607475601634418353090334377218007609685675236693366880167485530887791042573273250539181455795768446500955647739052576220378449016505122079362032981438078174926759761685420634329850396527032998905138422152036060785908664576040708080124287328325058564197203278357264825094363574403872820904857818161773615261510278979760615537213108321334116224139918378274459602831974692602335397690869043357321976498304570280188633803993082947018596824504650966493017522144290233824800219420920288871827487110068382943265054638324088242178446500370269602975028741094898641088982614663992475995647681991956242413696651327795748386751089965998083668846847799085845036546784594653985998927888536478360758265620895440489529570775516699194357419696391139217184894879220839826035782018255211447070187722195203749103335476219756445893841731965755621030891478328667712036038311362814701239492856388171126236446770052219886809070875458263413020787067816980668012001208840757740816086091545536512888635459249692661050100198730338580774532713862802780946355883015053781226979535565890336897503707907174806971629468023728095246987765401061995727558749157589861571102327006563615612927759126129289772141278266175881868153377283446264725094211766972829655155280661765167472193635405494859344545516958270808901976860925336096743149696868512582537841759123937954012836104323506450040149747055025586921718428607923346221682497629620034951281333835084801938529302922308116132206176717615854052616722442891525497661990043043638504917334272964633042575941449710378265818551885536406258300303518402774241073070644943285049326658636127386872467049740047665412175748658266636509354462827629272557815663811354856020377676097329593430483851525145892240281422394528997421267621629168289809813067079139342569089080280622956341425685168843982782585006545601772781648642228942803280831745693006803923347579657196852616264501725837902353110107504136401665891094410318578193216983774506346503335507154104088443771677608130702573104909442328217823572593858988922184512523134877771431790123551812773495342069378589740682573455657971079656842946057822168359631970231325426908309052516233280447066714385729992796390498360948154706113854522815519333149352359811869726395793598644543139827381422034965183446662829741846353399985273118614451514948367194882262575721200094043978141898033291115797190223027977473036932168967622325488229274866036171820351518002601166768446549985009826335849950753243328934480492952550772283908389786384991117971591353861368203556873211710772189475444283315454642162880412975944785859165500535529994448379826503678620514676321044958497376383729825906953321443238003465947011347052524827316754101894118910316559239383469031038594399580538144810445743075666778982381268093772310831930873140455971391052455852096760541532488088054669583752872420485941791064779183070426118662215214002364990338097169884244080867809224057729207499401305616021112376776756552080822812044901965616404585706674813510561145156441286717681571464524764018170451826329184418120516875631240739422986708330420521553681381506985642501686883357796235048492023077601801711045023166133280268811358914512600506054314769304064220977974354847264073733532758625125825542132123115264720378660508541242952257151738511194997517187627223941463409742825663698313235952629958758836494391076672941770013372776764831502853396823183561770790124270504781093638571585426055599903421988480127928342153336480187885372475925434931543195284621388038894116832668374031061602943023178115189170381257765689276152192835616479088978}
23457 107052648242650146800888013465906720579693696818922640419824550227890971581025: {492387,586175,703410,750304,844092,1616739,2599287,3116323,3959839,4451890,5342268,5576578,5819379,6200735,6701266,6796887,7440882,7470023,7966540,8887587,9156047,9559848,9698135,10162978,10754829,10972887,11340604,11389299,11637762,12097283,12924163,13186535,14518540,15275255,15817587,15823842,16309103,16907074,17057768,17422248,17471859,17884887,18330306,18463090,19014604,19189989,19534839,19600029,19678559,20136335,21592419,22155708,22179079,22681603,22845225,22866503,23371287,24163602,24368240,25418787,25599007,25827639,25846114,26160082,26508579,27062805,27163720,27414270,27460887,27470003,27732759,28006732,28206383,28866992,29002919,29117255,29241888,29481823,29751283,29904279,30254764,30493535,30559185,30581619,30793084,31799319,32217625,32388643,32402290,32475366,32596464,32897124,32898994,32956727,33824499,33927935,34940706,35615314,36257347,36570010,36592242,36671022,36923020,37533826,37590387,38183783,38661150,38882748,39153583,39600087,39984359,40073063,40184165,40669719,40713522,40769735,41203959,41238560,41464738,42116890,42442727,42763523,43142866,43212979,43884012,43990120,44002419,44268387,44270908,44307624,44354362,44710498,44811167,44857535,44932447,45032063,45724159,45893827,46260087,46269490,46393380,47396008,48092063,48220998,48923682,49249858,49486272,49488885,49567587,49610255,49734307,49846077,49886668,49963479,50540268,50879020,51193618,51544887,51641735,51796210,52788144,53239138,53320509,53829042,54140104,54202559,55020335,55090419,55523388,55672056,55933690,56249443,56369255,56500583,57405950,57407747,58182287,58205644,58312114,58336759,58389935,58871884,58996103,59235340,59386662,59497474,59532306,59660439,59790579,60050787,60237959,60611279,60907617,61054824,61207363,61610019,61970082,62155452,62501842,62631063,63872140,64064287,64126258,64189210,64330359,65492979,65555303,65562610,65579026,65966383,66024402,66125722,66733948,67120428,67643106,67776935,67866463,68198199,68324783,68444735,68686677,68712279,68887140,69764527,69923644,70067922,70117714,70356940,70712803,71049010,71082408,71404899,72365063,72694999,72938787,73011004,73109255,73133740,73408847,73479616,73554607,73825612,75061228,76646568,76797106,77012259,77027052,77379346,77657314,77756135,77773299,77882243,78280179,78280867,78675132,78913239,79172877,79397266,79402199,79742255,79967709,81243059,81284338,81332322,81514258,81638479,82008500,82133682,82406146,82664568,83150920,83303020,83424367,84363935,84423592,84428328,85120223,85258812,85336179,86027554,86212887,86227389,86278348,86339255,86418562,86463159,86759985,86838387,87439090,87654335,87713079,87731106,87760488,87802079,88168883,88505303,90205719,90237082,90998627,91138978,91170563,91325362,91440466,91448439,91520410,91590935,91608940,92535143,92543984,92997639,93117043,93307362,93544785,94013263,94050339,94120039,94237690,94253425,94265663,94297587,94861535,94976541,94981869,95540648,95690706,95779059,96620434,96952090,97024978,97164419,97195084,97551743,97716803,98363319,98410200,98656402,98660903,98723746,98730549,98947463,99425255,99467619,99663610,99781104,99890920,99963624,...,40840462632294331119186650910405116167312516363164993072056702325839827215207190232726518759050942461442579320343341639829519145112764991275684103619173744931657716216502645904353401411213402451627529635501565827011414528512855040050320251228296331686563859909875808772183693652669751433471608578864330567673524757683119043049472157117262390139642528130951494775594790549498357707633228054091178862996864061062120186430992487587846295804917535897237641545361605809231357286727242660422892265418469640923305819662482001174336209877567411689404247962038903503096536303565035982964747456855420282950705989624420527895236756976449739526283216435350737200329131380433307741230665102574414897581957486132363267669750555404404462543111642347961633473921995988713993471522987934363620544976991693622580126634948997125503270271698628767554820176891980978998391832804717541137398431343160734294356163275048791536129544586708825777342318831259739053673027382817170605281583292805623655003214329634668840762597948633431546337217493001568054057467044222051859239284582256689354670155078329830213606313187395119531180601725471002018001813261136611224129137318304769332953188874538991575150298095507871161799070794204171419533824522580671840469303348835505346255561860762210457444202035592142870481648101592993591338123736384792356653490509845423419391638689193934658211917399263822802230065925169397087641317650459244482732920992647751208290453108242289016818275437406213352965291388004145114724545302768873806762638685906931019254156485259675060224620582538380382577642911885019332523746444430052426922000752627202907793954383462174198309265076423781078925083664337288246492985064565457757376001409446949563863912174565567398727827828304609387450455277604161361609605967414927573989987954191080308700574610071498118263622987399954764031694241443908836723495717032284030566514145994390145725777287718838360422133591793496131901432443752434714719600618709013853633620420934434512138527753265974173877509818402659172472963343414204921247618539510205885021369485795278924396752588756853529665161256204602498836641615477867289825475661759519755003260731156132665657516412196053859657364163492326735358890788483383276768784702316657147685185327719160243013104067884611023860183486956619485264419086733252539447955346988140362463578774349920670600071578594989194585747541422232059170781784223278999724028539717804589593690397966814709741072133052447775169994244612769530099977909677921677272422550792323393863581800141065967212847049936673695785334541966209555398253451433488232343912299054257730527277003901750152669824977514739503774926129864993401720739428826158425862584679577486676957387030792052305335309817566158284213166424973181963244320619463917178788748250803294991672569739755517930772014481567437746064575594738860429982164857005198920517020578787240975131152841178365474838859075203546557891599370807217215668614613500168473571902140658466247896309710683957086578683778145140812298732132082004375629308630728912686597168774605639177993322821003547485507145754826366121301713836086593811249101958424031668565165134828121234218067352948424606878560012220265841717734661930076522357196787146027255677739493776627180775313446861109134480062495630782330522072260478463752530325036694352572738034616402702566567534749199920403217038371768900759081472153956096331466961532270896110600299137937688738313198184672897080567990762811864428385727607766792496275781440835912195114614238495547469853928944938138254741586615009412655020059165147247254280095234775342656185186405757171640457857378139083399855132982720191892513230004720281828058713888152397314792926932082058341175249002561046592404414534767172783755571886648533914228289253424718633467}
23458 107433065449829447784410201815131603385439966429236154692863182740154036268206: {257917,656516,937880,960097,1055115,1125456,1266138,1380541,2079841,2155652,2359057,3055837,3194977,3465716,3889597,4166941,5962657,6237841,6677835,7123024,7593518,7759172,8013402,8292541,8364867,9062516,9245857,9653341,9921176,9924637,9958175,10051899,10637966,11161323,11850116,11949810,11950177,12746464,12755857,13115918,13425277,13692541,14175755,14339772,14487518,14625697,14630516,14758717,14925547,15185732,15244467,15517016,16349341,17010906,17272417,17456643,18148175,18308846,18584977,18977341,20020477,20208926,21090116,21098456,21291518,21317917,21322210,21777810,21963937,23229664,23295812,23507041,23735763,23763217,23768255,23846516,24402397,24440408,24785041,25258618,25360611,25586652,25675357,26046452,26133372,26309137,26435677,27319441,27495459,27694635,28521906,28789892,28826257,29540944,30198397,30460300,30665918,31161716,31438237,32218136,32547937,33233562,33575726,33891716,33954650,34366286,34436852,35008415,35114557,35344772,35357341,35681006,35720977,36083740,36245403,36552360,36614516,36977012,37409377,37818455,38491355,38769171,38989184,39202717,39240123,39863918,39872372,39915517,40389277,40743841,40745580,40775492,40903886,40979857,41121405,41471507,42010098,42399092,43300488,43461952,43673341,43862832,44485537,45063517,45099332,45298046,45382146,45639697,46153775,46189626,46587608,47372591,47471377,48039997,48603435,48630206,48713049,48789656,48833041,48894696,49345686,49348491,49622557,49735057,50120516,50520541,51302497,51413917,51430718,51548200,51843664,51969937,52411059,52800116,53422971,53835683,53846941,54226292,54284696,54395041,54855015,54888363,54938612,54987650,55006533,55338635,55384530,55811677,56028541,56245117,56300739,56785297,56926727,57431137,57480446,57730718,57991725,58181341,58324122,58512016,58669892,58730366,59024516,59076832,59245010,59777041,61070283,61680116,61857840,62197107,62358335,62919841,62953166,63175335,63598775,63940718,64187246,64294664,64714299,64979041,65231576,65794657,65826018,65981696,65985180,66090116,66406362,66461436,66531543,66617972,67009441,67065747,67387024,67675130,68313757,68726516,69209617,69308797,69404235,69590070,69817646,70384192,70493341,71094012,71764897,71772056,72241886,72331497,72725006,72757055,73385523,73409341,73453892,73589855,73870643,73874787,73930286,74031184,74044175,74080417,74229408,74652817,74830002,75810402,75978337,76318530,76542097,76790427,77285918,77661841,77694315,77847457,79046941,79182216,79376408,79547252,79720772,79840175,79858707,79961341,80067716,80234257,80613326,80743563,80975986,81086366,81210156,81406432,82146692,82626776,82873936,82927777,83207918,83285082,83417435,83508084,83598067,83900535,84162577,84687457,85773812,85988317,86108925,87308466,87323972,87404555,87468171,87946175,88032536,88307826,88853010,89079993,89246211,89298459,89378077,89493904,90190808,90537277,90930932,91117406,91193341,91263755,91347518,91417175,91438177,91582236,91616372,91849520,92282015,92725166,92955123,93233178,93423896,93453277,93752763,93826535,94246717,94562077,94776544,94797841,95206532,95808210,96146606,96189387,96283815,96337538,96353041,96827006,97053518,97251716,97272337,97500541,97728097,98343915,98368539,98406877,98481937,98603386,98781457,99005341,99036603,99188583,...,54453950176392441492248867880540154889750021817553324096075603101119769620276253643635358345401256615256772427124455519772692193483686655034245471492231659908876954955336861205804535214951203268836706180668754436015219371350473386733760334971061775582085146546501078362911591536893001911295478105152440756898033010244158724065962876156349853519523370841268659700793054065997810276844304072121571817329152081416160248574656650117128394406556714529650188727148807745641809715636323547230523020557959521231074426216642668232448279836756548919205663949385204670795381738086714643952996609140560377267607986165894037193649009301932986035044288580467649600438841840577743654974220136765886530109276648176484356893000740539205950057482189797282177965229327984951991295363983912484827393302655591496773502179931996167337693695598171690073093569189307971997855777072956721516531241790880979059141551033398388714839392782278434369789758441679652071564036510422894140375444390407498206670952439512891787683463931511242061782956657335424072076622725629402478985712776342252472893540104439773618141750916526826041574135633961336024002417681515481632172183091073025777270918499385322100200397460677161549065427725605561892711766030107562453959071131780673795007415814349613943258936047456190493975530802123991455117498315179723142204654013127231225855518252258579544282556532351763736306754566892529450188423533945659310310561323530334944387270810989718689091033916541617803953721850672193486299393737025165075683518247875908025672208647012900080299494110051173843436857215846692443364995259240069902562667670169603877058605844616232264412353435231708105233444885783050995323980086087277009834668545929266085151882899420756531637103771072812516600607036805548482146141289886570098653317272254773744934099480095330824351497316533273018708925655258545115631327622709712040755352194659186860967703050291784480562844789057994842535243258336579619626134158278685138178160561245912682851370337687965565170013091203545563297284457885606561663491386013607846695159314393705232529003451675804706220215008272803331782188820637156386433967549012693006671014308208176887543355216261405146209818884656435647145187717977844369025046269755542863580247103625546990684138757179481365146911315942159313685892115644336719263940462650853816618105032466560894133428771459985592780996721896309412227709045631038666298704719623739452791587197289086279654762844069930366893325659483692706799970546237228903029896734389764525151442400188087956283796066582231594380446055954946073864337935244650976458549732072343640703036005202333536893099970019652671699901506486657868960985905101544567816779572769982235943182707722736407113746423421544378950888566630909284325760825951889571718331001071059988896759653007357241029352642089916994752767459651813906642886476006931894022694105049654633508203788237820633118478766938062077188799161076289620891486151333557964762536187544621663861746280911942782104911704193521083064976176109339167505744840971883582129558366140852237324430428004729980676194339768488161735618448115458414998802611232042224753553513104161645624089803931232809171413349627021122290312882573435363142929049528036340903652658368836241033751262481478845973416660841043107362763013971285003373766715592470096984046155203603422090046332266560537622717829025201012108629538608128441955948709694528147467065517250251651084264246230529440757321017082485904514303477022389995034375254447882926819485651327396626471905259917517672988782153345883540026745553529663005706793646367123541580248541009562187277143170852111199806843976960255856684306672960375770744951850869863086390569242776077788233665336748062123205886046356230378340762515531378552304385671232958177956}
23459 107814825660291673309442618753718275102495367751518753557141964285738340631250: {23459,820645,984774,1172350,1406820,1500608,1688184,1899207,2694565,3233478,4332145,4381597,5198574,6232646,7919678,7985197,8681029,8828209,8903780,9698965,10233229,10684536,11153156,11328145,11390277,11638758,12020103,12401470,13402532,13577389,13593774,14296789,14812645,14881764,14940046,15933080,15956949,17104669,17775174,17924715,18227821,18288145,18312094,18461149,18982165,19119696,19396270,19673877,19912549,20307661,20325956,21035701,21385357,21509658,21731277,21945774,22681208,22778598,23275524,24194566,25516359,25848326,26362645,26373070,27024049,27463269,27983461,28190869,28208797,29000929,29037080,29119765,29808145,30313389,30550510,31524781,31635174,31647684,31937277,31983315,32464549,32558065,32579437,32618206,32666715,33814148,34115536,34276177,34844496,34943718,35129677,35769774,35987365,36011629,36660612,36833989,36926180,37887927,38029208,38075375,38379978,38696317,38952145,39069678,39200058,39357118,39987781,40223557,40272670,40764157,40866589,41339761,42364645,42439669,42690949,42741901,42782859,43046065,43184838,43236049,44180965,44311416,44358158,44787541,45035917,45104675,45126289,45363206,45690450,45733006,45768145,45816661,45826609,45998877,46221265,46742574,47228749,47435989,47499109,48327204,48736480,49446769,49840465,49850343,50083069,50363589,50384917,50538709,50837574,50931975,50969365,51198014,51408757,51549429,51655278,51692228,51913597,52069309,52320164,52998865,53017158,53521509,54125610,54327440,54828540,54921774,54940006,55275877,55465518,56013464,56257831,56374165,56412766,57077629,57733984,58005838,58234510,58415857,58480789,58483776,58963646,59001169,59256709,59502566,59787997,59795877,59808558,60509528,60987070,61016461,61118370,61163238,61355829,61586168,62650645,62800549,63015147,63598638,64046917,64392301,64435250,64506109,64777286,64804580,64950732,65192928,65635729,65794248,65797988,65913454,65936821,66000145,67648998,67782865,67855870,67947069,68073219,68434129,68673265,69284439,69454357,69677749,69881412,71230628,71609197,71674069,72298429,72514694,72945309,73036837,73140020,73184484,73337365,73342044,73717681,73780645,73846040,74018529,74480509,75067652,75180774,75495997,75595021,76367566,76835569,77028469,77100145,77146077,77322300,77355757,77474449,77765496,78307166,78916957,79200174,79968718,80076109,80146126,80368330,80657797,81339438,81427044,81539470,81745909,82407918,82477120,82481475,82612645,82876789,82929476,83076795,83272465,83275477,83997061,84060469,84168997,84233780,84885454,85527046,85908145,86220669,86285732,86425958,86596077,86635429,87150577,87486183,87768024,87980240,88004838,88095549,88536774,88541816,88615248,88677061,88708724,88867515,89272429,89376229,89420996,89622334,89715070,89864894,90064126,90275377,91448318,91787654,91817365,91930849,92235349,92520174,92538980,92543089,92747617,92786760,93177997,93886021,94273789,94429749,94609117,94792016,94887709,95054497,95822629,95911077,96184126,96280869,96441996,97670149,97847364,98499716,98669461,98739027,98916877,98972544,98977770,99135174,99220510,99434065,99468614,99609543,99650965,99692154,99773336,99926958,...,81680925264588662238373301820810232334625032726329986144113404651679654430414380465453037518101884922885158640686683279659038290225529982551368207238347489863315432433005291808706802822426804903255059271003131654022829057025710080100640502456592663373127719819751617544367387305339502866943217157728661135347049515366238086098944314234524780279285056261902989551189581098996715415266456108182357725993728122124240372861984975175692591609835071794475283090723211618462714573454485320845784530836939281846611639324964002348672419755134823378808495924077807006193072607130071965929494913710840565901411979248841055790473513952899479052566432870701474400658262760866615482461330205148829795163914972264726535339501110808808925086223284695923266947843991977427986943045975868727241089953983387245160253269897994251006540543397257535109640353783961957996783665609435082274796862686321468588712326550097583072259089173417651554684637662519478107346054765634341210563166585611247310006428659269337681525195897266863092674434986003136108114934088444103718478569164513378709340310156659660427212626374790239062361203450942004036003626522273222448258274636609538665906377749077983150300596191015742323598141588408342839067649045161343680938606697671010692511123721524420914888404071184285740963296203185987182676247472769584713306981019690846838783277378387869316423834798527645604460131850338794175282635300918488965465841985295502416580906216484578033636550874812426705930582776008290229449090605537747613525277371813862038508312970519350120449241165076760765155285823770038665047492888860104853844001505254405815587908766924348396618530152847562157850167328674576492985970129130915514752002818893899127727824349131134797455655656609218774900910555208322723219211934829855147979975908382160617401149220142996236527245974799909528063388482887817673446991434064568061133028291988780291451554575437676720844267183586992263802864887504869429439201237418027707267240841868869024277055506531948347755019636805318344945926686828409842495237079020411770042738971590557848793505177513707059330322512409204997673283230955734579650951323519039510006521462312265331315032824392107719314728326984653470717781576966766553537569404633314295370370655438320486026208135769222047720366973913238970528838173466505078895910693976280724927157548699841341200143157189978389171495082844464118341563568446557999448057079435609179187380795933629419482144266104895550339988489225539060199955819355843354544845101584646787727163600282131934425694099873347391570669083932419110796506902866976464687824598108515461054554007803500305339649955029479007549852259729986803441478857652316851725169359154973353914774061584104610670619635132316568426332849946363926488641238927834357577496501606589983345139479511035861544028963134875492129151189477720859964329714010397841034041157574481950262305682356730949677718150407093115783198741614434431337229227000336947143804281316932495792619421367914173157367556290281624597464264164008751258617261457825373194337549211278355986645642007094971014291509652732242603427672173187622498203916848063337130330269656242468436134705896849213757120024440531683435469323860153044714393574292054511355478987553254361550626893722218268960124991261564661044144520956927505060650073388705145476069232805405133135069498399840806434076743537801518162944307912192662933923064541792221200598275875377476626396369345794161135981525623728856771455215533584992551562881671824390229228476991094939707857889876276509483173230018825310040118330294494508560190469550685312370372811514343280915714756278166799710265965440383785026460009440563656117427776304794629585853864164116682350498005122093184808829069534345567511143773297067828456578506849437266934}
23460 108197933584304632486568565314797575283799691875872281361179984134837378788435: {304811,515834,679499,1006931,1313032,1427339,1477161,1758525,1875760,1920194,2080019,2110230,2250912,2405771,2532276,2761082,2963291,3241619,3473339,3797411,3889931,4159682,4213499,4311304,4444379,4718114,4850217,5411891,5825459,5963171,6100811,6111674,6284219,6389954,6787931,6931432,7336331,7779194,7797861,8333882,8611451,8747699,8974619,9156011,9246659,9348969,9654179,9699419,9925499,9970691,10106219,10196531,10331939,10512371,10737731,11129725,11187851,11457539,11879517,11925314,11996051,12475682,13355670,13693739,13738259,13871771,13941445,14246048,14671331,14892971,15187036,15335651,15424091,15518344,15556691,15733379,16026804,16130459,16350779,16585082,16658891,16729734,16753165,16790819,16878731,17054459,17273939,17449379,17458137,18125032,18324659,18491714,18586619,18602205,18630251,18979019,19306682,19842352,19846057,19849274,19916350,20022251,20103798,20390661,20542139,20715179,20931299,21275932,21965891,22266779,22322646,22410069,22738811,22867379,23551859,23700232,23808011,23899620,23900354,23935979,24404579,24447131,24957131,25407445,25492928,25511714,25719971,26231836,26311499,26438051,26662761,26733059,26850554,26985611,27363899,27385082,27468141,28351510,28578419,28679544,28828859,28870571,28953971,28975036,29094405,29251394,29261032,29370491,29517434,29851094,30201131,30371464,30488934,30491099,31034032,31069859,31358651,31482299,31564691,31852811,32264487,32591891,32698682,32918661,32919539,33275557,33410051,33573299,33940139,34021812,34167897,34306331,34544834,34550099,34913286,34915211,34996259,35158259,35360579,35401019,36127571,36291849,36296350,36617692,36851531,37169954,37172459,37412819,37452851,37652891,37932611,37954682,38172059,38530691,38729651,38772489,39206339,39559605,39919211,40040954,40195739,40393019,40417852,40432451,40983659,41572499,42180232,42196912,42267685,42393851,42510899,42583036,42635834,42644420,42783731,43444691,43555620,43927874,43948571,44142011,44257979,44489699,44528291,45106211,45567251,45643979,45682331,45825765,46157725,46459328,46591624,47014082,47019611,47452761,47471526,47513819,47526434,47536510,47693032,48044531,48082379,48158051,48309299,48611411,48804794,48875339,48880816,48927309,49011781,49402019,49570082,50002019,50413331,50517236,50525339,50721222,51173304,51233051,51307379,51350714,51418811,51641459,51974891,52092904,52266744,52415577,52618274,52787219,52871354,52945837,52971299,53118419,53448971,53654661,53887897,54638882,54990918,55389270,55527419,55817051,55853219,56178371,56250539,56286611,56574899,56790779,57006371,57043812,57257531,57569967,57579784,57652514,57794411,58186979,58436291,58604517,58800087,58933739,59035677,59081888,59571011,59782859,59923931,60100091,60311219,60396794,60409005,60557171,60920600,61331836,61711379,62233139,62323432,62441339,62545331,62876474,63443579,63623989,63753251,64199411,64436272,64615285,64678379,64777257,65095874,65325899,65400205,65835059,66467124,66511139,66537237,66747011,67049699,67151452,67251131,67277041,67318211,67519259,67720019,67783432,67909300,68020619,68044809,68420411,68535675,68599509,68732572,68873704,69017939,69249611,69315731,69348779,69843539,70016830,70040939,70113861,70229114,70402091,70533179,70631411,70689544,70714682,71023619,71362012,71382131,71441954,71609771,71772131,72167480,72451859,72490806,73063811,73104720,73128059,73229032,73256459,73640891,73954024,74087939,74374499,74818754,75514259,75636910,75703211,75923291,76111619,76256361,76393571,76549931,76581179,76737299,76797021,76982710,77474089,77482917,77538342,77669819,77886371,77978368,78040811,78133379,78256691,78405434,78480246,78717971,78963251,79055099,79525737,79727836,79744744,79787291,79831034,80272859,80778554,80907059,81005725,81057539,81188415,81327899,81487682,81491160,81507779,81550984,81687371,81807772,81959714,82242810,82247485,82343411,82382661,82410009,82943014,82966019,83198277,83467451,83731979,83995859,84020196,84200651,84550811,84609059,84619149,84798184,85044899,85507811,85997411,86026139,86198339,86600976,86627579,86923904,87008757,87055019,87301669,87346682,87351765,87565571,87650411,87725664,87791651,88214171,88445469,88578899,88971074,88998059,89038285,89253849,89415419,89554139,89712837,90127034,90198664,90596092,90629291,90764292,91203179,91279394,91425025,91448051,91480605,91529531,91677555,91719371,91744857,91854731,92286539,92307550,92340371,92379252,92421059,92582219,93090659,93175216,93383699,93728771,93834565,93887579,94257011,94335971,94572419,94745182,94942754,95069459,95303891,95355899,95397957,95433851,95744939,95977499,96079994,96652875,96671291,97165929,97206870,97260412,97426098,97511339,97579312,97666082,97688411,97738931,97764179,97789392,98417819,98517899,98567891,98691372,98696982,98792459,98817371,98870181,99041219,99165299,99245114,99470114,99486971,99634979,...,122521387896882993357559952731215348501937549089494979216170106977519481645621570698179556277152827384327737961030024919488557435338294973827052310857521234794973148649507937713060204233640207354882588906504697481034243585538565120150960753684888995059691579729627426316551080958009254300414825736592991703020574273049357129148416471351787170418927584392854484326784371648495073122899684162273536588990592183186360559292977462763538887414752607691712924636084817427694071860181727981268676796255408922769917458987446003523008629632702235068212743886116710509289608910695107948894242370566260848852117968873261583685710270929349218578849649306052211600987394141299923223691995307723244692745872458397089803009251666213213387629334927043884900421765987966141980414568963803090861634930975080867740379904846991376509810815095886302664460530675942936995175498414152623412195294029482202883068489825146374608388633760126477332026956493779217161019082148451511815844749878416870965009642988904006522287793845900294639011652479004704162172401132666155577717853746770068064010465234989490640818939562185358593541805176413006054005439783409833672387411954914307998859566623616974725450894286523613485397212382612514258601473567742015521407910046506516038766685582286631372332606106776428611444944304778980774014371209154377069960471529536270258174916067581803974635752197791468406690197775508191262923952951377733448198762977943253624871359324726867050454826312218640058895874164012435344173635908306621420287916057720793057762469455779025180673861747615141147732928735655057997571239333290157280766002257881608723381863150386522594927795229271343236775250993011864739478955193696373272128004228340848691591736523696702196183483484913828162351365832812484084828817902244782721969963862573240926101723830214494354790868962199864292095082724331726510170487151096852091699542437983170437177331863156515081266400775380488395704297331257304144158801856127041560900861262803303536415583259797922521632529455207977517418890030242614763742855618530617655064108457385836773190257766270560588995483768613807496509924846433601869476426985278559265009782193468397996972549236588161578972092490476980206076672365450149830306354106949971443055555983157480729039312203653833071580550460869858455793257260199757618343866040964421087390736323049762011800214735784967583757242624266696177512345352669836999172085619153413768781071193900444129223216399157343325509982733838308590299933729033765031817267652376970181590745400423197901638541149810021087356003625898628666194760354300464697031736897162773191581831011705250458009474932544218511324778389594980205162218286478475277587754038732460030872161092376156916005929452698474852639499274919545889732961858391751536366244752409884975017709219266553792316043444702313238193726784216581289946494571015596761551061736361722925393458523535096424516577225610639673674798112421651647005843840500505420715706421975398743688929132051871259736051334435422436896196396246013126887925892186738059791506323816917533979968463010642456521437264479098363905141508259781433747305875272095005695495404484363702654202058845273820635680036660797525153203985790229567071590361438081767033218481329881542325940340583327403440187486892346991566216781435391257590975110083057718214103849208107699702604247599761209651115115306702277244416461868288994400884596812688331800897413813066214939594554018691241703972288435593285157182823300377488827344322507736585343842715486642409561786834814414764224759845028237965060177495441741762840285704326027968555559217271514921373572134417250199565398948160575677539690014160845484176141664457191944378780796246175023525747007683139777213243604301518351266715659945601742684867760274155900401}
23461 108582393948548200341122436831852058107274583585926410560661169564059298668506: {46918,773751,1148903,1641290,1969548,2344700,2813640,2880291,3001216,3165345,3376368,3772391,3798414,4141623,4897079,5178251,5389130,6065003,6239523,6466956,7077171,8664290,8763194,9167511,9437051,9584931,10397148,11668791,12465292,12500823,13578551,15839356,15859403,15970394,17362058,17656418,17807560,17887971,18713523,18983795,19116983,19397930,20033505,20309399,20466458,20737703,21369072,22306312,22486439,22656290,22780554,23277516,23999963,24040206,24802940,24877623,25094601,25603403,26575031,26594915,26805064,27154778,27187548,27737571,28593578,28960023,29003411,29625290,29763528,29773911,29874525,29880092,30155697,31527479,31866160,31913898,32412803,32789795,33071363,33483969,34209338,35550348,35642519,35849430,35850531,36014711,36218795,36455642,36576290,36624188,36907703,36922298,37964330,38239392,38267571,38502971,38792540,39347754,39825098,40227011,40275831,40615322,40651912,40767671,41077623,41343299,41516891,41731403,42071402,42527265,42745559,42770714,43019316,43462554,43877091,43891548,44190779,44276151,44776641,45362416,45557196,45581291,45674423,45732011,45733401,45772115,45830531,46328579,46551048,47232791,47536931,48322643,48389132,49048023,50382311,50522315,50896439,51032718,51696652,51817251,52369929,52725290,52746140,52856891,53228795,53305525,54048098,54146963,54444525,54533003,54926538,55754931,55966922,56381738,56417594,56932023,56975831,57902003,58001858,58021079,58074160,58239530,59310503,59545811,59616290,59793131,60061431,60264491,60626778,61101020,61265411,61527059,61853351,63049562,63146545,63270348,63295368,63874554,63953751,63966630,64075403,64709771,64929098,65116130,65158874,65236412,65333430,65891811,65942483,66821879,67628296,68091431,68231072,68552354,69688992,69776651,69887436,70162331,70259354,70521123,70608131,71207289,71289651,71304765,71357111,71539548,71974730,72023258,72095063,72110363,72118871,73207191,73321224,73667978,73852360,74198411,74355123,74483111,75691811,75775854,76058416,76081833,76150750,76286531,76485203,76664795,76759956,77026071,77392634,77904290,78139356,78153911,78400116,78714236,78801659,78923831,78927411,79282583,79307031,79975562,80447114,80545340,81528314,81733178,81958323,82486377,82679522,83083905,83720603,83939315,84377879,84629051,84729290,84879338,84886625,85381898,85483802,85565718,85915715,86092130,86369676,86472098,86478771,86844419,87710903,88361930,88622832,88716316,88876331,89202515,89575082,90071834,90209350,90252578,90595191,90726412,91380900,91466012,91536290,91633322,91653218,91997754,92400203,92442530,93485148,93894083,94314711,94457498,94871978,94896011,94998218,95062691,95322851,95361971,96142571,96182999,96654408,97271891,97463291,97472960,97643811,98893538,98925371,99472451,99659795,99680930,99700686,...,163361850529177324476746603641620464669250065452659972288226809303359308860828760930906075036203769845770317281373366559318076580451059965102736414476694979726630864866010583617413605644853609806510118542006263308045658114051420160201281004913185326746255439639503235088734774610679005733886434315457322270694099030732476172197888628469049560558570112523805979102379162197993430830532912216364715451987456244248480745723969950351385183219670143588950566181446423236925429146908970641691569061673878563693223278649928004697344839510269646757616991848155614012386145214260143931858989827421681131802823958497682111580947027905798958105132865741402948801316525521733230964922660410297659590327829944529453070679002221617617850172446569391846533895687983954855973886091951737454482179907966774490320506539795988502013081086794515070219280707567923915993567331218870164549593725372642937177424653100195166144518178346835303109369275325038956214692109531268682421126333171222494620012857318538675363050391794533726185348869972006272216229868176888207436957138329026757418680620313319320854425252749580478124722406901884008072007253044546444896516549273219077331812755498155966300601192382031484647196283176816685678135298090322687361877213395342021385022247443048841829776808142368571481926592406371974365352494945539169426613962039381693677566554756775738632847669597055291208920263700677588350565270601836977930931683970591004833161812432969156067273101749624853411861165552016580458898181211075495227050554743627724077016625941038700240898482330153521530310571647540077330094985777720209707688003010508811631175817533848696793237060305695124315700334657349152985971940258261831029504005637787798255455648698262269594911311313218437549801821110416645446438423869659710295959951816764321234802298440285992473054491949599819056126776965775635346893982868129136122266056583977560582903109150875353441688534367173984527605729775009738858878402474836055414534481683737738048554111013063896695510039273610636689891853373656819684990474158040823540085477943181115697587010355027414118660645024818409995346566461911469159301902647038079020013042924624530662630065648784215438629456653969306941435563153933533107075138809266628590740741310876640972052416271538444095440733947826477941057676346933010157791821387952561449854315097399682682400286314379956778342990165688928236683127136893115998896114158871218358374761591867258838964288532209791100679976978451078120399911638711686709089690203169293575454327200564263868851388199746694783141338167864838221593013805733952929375649196217030922109108015607000610679299910058958015099704519459973606882957715304633703450338718309946707829548123168209221341239270264633136852665699892727852977282477855668715154993003213179966690278959022071723088057926269750984258302378955441719928659428020795682068082315148963900524611364713461899355436300814186231566397483228868862674458454000673894287608562633864991585238842735828346314735112580563249194928528328017502517234522915650746388675098422556711973291284014189942028583019305464485206855344346375244996407833696126674260660539312484936872269411793698427514240048881063366870938647720306089428787148584109022710957975106508723101253787444436537920249982523129322088289041913855010121300146777410290952138465610810266270138996799681612868153487075603036325888615824385325867846129083584442401196551750754953252792738691588322271963051247457713542910431067169985103125763343648780458456953982189879415715779752553018966346460037650620080236660588989017120380939101370624740745623028686561831429512556333599420531930880767570052920018881127312234855552609589259171707728328233364700996010244186369617658139068691135022287546594135656913157013698874533868}
23462 108968211496171128187968000705689055619466160081451760662331405515797850852525: {70377,609622,726361,1031668,1358998,2013862,2461935,2626064,2854678,2930875,2954322,3517050,3519961,3751520,3840388,4160038,4220460,4490917,4501824,4811542,4905961,5064552,5522164,5697621,5926582,6483238,6946678,7594822,7656361,7779862,8083695,8319364,8426998,8622608,8888758,9428677,9436228,9700261,9700434,9971557,10823782,11458537,11650918,11926342,12201622,12223348,12400261,12568438,12779908,12996435,13144791,13575862,13739461,13862864,14672662,15558388,15581615,15595722,16667764,17222902,17495398,17949238,18312022,18369961,18493318,18631897,18697938,19308358,19398838,19518023,19799195,19850998,19941382,20212438,20393062,20663878,20717017,21024742,21475462,22259450,22375702,22655077,22912261,22915078,23454431,23759034,23850628,23955591,23992102,24449317,24951364,26043087,26102761,26484627,26711340,27387478,27476518,27743542,27882890,28492096,28622761,28873177,29096895,29342662,29785942,30374072,30671302,30699687,30848182,30866137,31003675,31036688,31113382,31361497,31466758,32053608,32102377,32260918,32348761,32701558,33170164,33317782,33459468,33506330,33581638,33757462,33984435,34108918,34170831,34547878,34898758,34916274,35404261,35570423,36060309,36250064,36251737,36649318,36983428,37173238,37204410,37260502,37350115,37456297,37958038,38613364,38772997,39011461,39684704,39692114,39698548,39832700,40044502,40199461,40207596,40436197,40732167,40781322,41084278,41430358,41615557,41862598,42551864,42890367,43487557,43931782,44437935,44532457,44533558,44645292,44820138,45477622,45686617,45734758,45780235,46375657,47103718,47400464,47616022,47745961,47799240,47800708,47870847,47871958,48086917,48490675,48540517,48809158,48894262,49444261,49914262,50814890,50985856,51023428,51314007,51439942,52460377,52463672,52622998,52876102,53325522,53466118,53701108,53774145,53971222,54683463,54727798,54770164,54864435,54936282,55383447,55858597,56292037,56400217,56616361,56703020,56946495,57156838,57359088,57657718,57741142,57907942,57950072,58188810,58502788,58522064,58740982,58761961,59021631,59034868,59174759,59702188,59737647,60402262,60486415,60563077,60742928,60922983,60977868,60982198,61717417,62068064,62139718,62717302,62964598,63107103,63129382,63277477,63484261,63705622,64156071,64528974,64620815,65169511,65183782,65193831,65332357,65397364,65837322,65839078,65932675,66551114,66551461,66753637,66820102,66854617,67146598,67559461,67760197,67880278,68043624,68060761,68335794,68612662,68759557,69089668,69100198,69355717,69826572,69830422,69850537,69992518,70316518,70721158,70802038,71030761,72200617,72255142,72583698,72592700,73235384,73263877,73703062,74339908,74344918,74442643,74825638,74905702,75191987,75305782,75553477,75865222,75909364,76344118,76376275,76549077,76589017,76776361,77061382,77459302,77544978,78172261,78412678,79087935,79119210,79825957,79838422,80081908,80190277,80391478,80786038,80835704,80864902,81072147,81366361,81545515,81546217,81967318,82389807,83144998,83950383,84360464,84393824,84535370,84572607,84626391,84787702,85021798,85082857,85166072,85271668,85288840,85567462,86035237,86807977,86889382,87002787,87111240,87359295,87855748,87897142,88284022,88515958,88979398,89056582,89341657,89424435,89591461,90212422,90461399,90940167,91076677,91134502,91287958,91364662,91560287,91651530,91891717,92315450,92457961,92619097,92918656,93183248,94028164,94039222,94574343,94905522,94943052,95027638,95052868,95073020,95079877,95386064,95392357,95811831,95949945,96013861,96089062,96164758,96316102,96618598,97222822,97393647,97609588,97674195,97699237,97738311,97750678,97761632,97775017,97854618,98000145,98023562,98152837,98392795,98804038,98828377,99140164,99793861,...,245042775793765986715119905462430697003875098178989958432340213955038963291243141396359112554305654768655475922060049838977114870676589947654104621715042469589946297299015875426120408467280414709765177813009394962068487171077130240301921507369777990119383159459254852633102161916018508600829651473185983406041148546098714258296832942703574340837855168785708968653568743296990146245799368324547073177981184366372721118585954925527077774829505215383425849272169634855388143720363455962537353592510817845539834917974892007046017259265404470136425487772233421018579217821390215897788484741132521697704235937746523167371420541858698437157699298612104423201974788282599846447383990615446489385491744916794179606018503332426426775258669854087769800843531975932283960829137927606181723269861950161735480759809693982753019621630191772605328921061351885873990350996828305246824390588058964405766136979650292749216777267520252954664053912987558434322038164296903023631689499756833741930019285977808013044575587691800589278023304958009408324344802265332311155435707493540136128020930469978981281637879124370717187083610352826012108010879566819667344774823909828615997719133247233949450901788573047226970794424765225028517202947135484031042815820093013032077533371164573262744665212213552857222889888609557961548028742418308754139920943059072540516349832135163607949271504395582936813380395551016382525847905902755466896397525955886507249742718649453734100909652624437280117791748328024870688347271816613242840575832115441586115524938911558050361347723495230282295465857471310115995142478666580314561532004515763217446763726300773045189855590458542686473550501986023729478957910387392746544256008456681697383183473047393404392366966969827656324702731665624968169657635804489565443939927725146481852203447660428988709581737924399728584190165448663453020340974302193704183399084875966340874354663726313030162532801550760976791408594662514608288317603712254083121801722525606607072831166519595845043265058910415955034837780060485229527485711237061235310128216914771673546380515532541121177990967537227614993019849692867203738952853970557118530019564386936795993945098473176323157944184980953960412153344730900299660612708213899942886111111966314961458078624407307666143161100921739716911586514520399515236687732081928842174781472646099524023600429471569935167514485248533392355024690705339673998344171238306827537562142387800888258446432798314686651019965467676617180599867458067530063634535304753940363181490800846395803277082299620042174712007251797257332389520708600929394063473794325546383163662023410500916018949865088437022649556779189960410324436572956950555175508077464920061744322184752313832011858905396949705278998549839091779465923716783503072732489504819769950035418438533107584632086889404626476387453568433162579892989142031193523102123472723445850786917047070192849033154451221279347349596224843303294011687681001010841431412843950797487377858264103742519472102668870844873792392792492026253775851784373476119583012647633835067959936926021284913042874528958196727810283016519562867494611750544190011390990808968727405308404117690547641271360073321595050306407971580459134143180722876163534066436962659763084651880681166654806880374973784693983132433562870782515181950220166115436428207698416215399405208495199522419302230230613404554488832923736577988801769193625376663601794827626132429879189108037382483407944576871186570314365646600754977654688645015473170687685430973284819123573669628829528449519690056475930120354990883483525680571408652055937111118434543029842747144268834500399130797896321151355079380028321690968352283328914383888757561592492350047051494015366279554426487208603036702533431319891203485369735520548311800802}
23463 109355390986848049366674627707458303934414180176474650755421962653859826012241: {93836,914433,1289585,1547502,2038497,2297806,3020793,3282580,3939096,4282017,4431483,4689400,4800485,5275575,5627280,5760582,5787457,6002432,6240057,6330690,6752736,6902705,7217313,7544782,7596828,8283246,8889873,9724857,9794158,10356502,10399205,10420017,10778260,11392233,11544581,11669793,11795285,12130006,12387593,12479046,12640497,12933912,13333137,13641617,14154342,14550651,15279185,15974885,16235673,17328580,17476377,17526388,17889513,18302433,18335022,18695801,18852657,18874102,19169862,19447985,20363793,20794296,20834705,21335897,22008993,22065257,23337582,23393583,24002017,24930584,25001646,25834353,26243097,26577313,26923857,27157102,27468033,27739977,28046907,28962537,29010377,29098257,29776497,29813285,29912073,30318657,30589593,30995817,31189205,31537113,31678712,31718806,31940788,32213193,32415577,33389175,33563553,33605561,34372617,34724116,35312836,35339141,35615120,35638551,35775942,35988153,37232881,37427046,37967590,38161577,38233966,38795860,40067010,40618798,40932916,41081217,41214777,41462705,41475406,41615313,41824335,42122977,42453641,42738144,44013993,44194561,44299937,44588513,44612624,44678913,44822693,44972878,45312580,45561108,45905713,46006953,46229285,46272273,46555032,46670073,47200137,47541013,47999926,48080412,48266705,48391377,49052337,49605880,49623185,49755246,49790875,49976673,50189202,50259495,50372457,50636193,50706313,50780837,51163377,51206806,51622121,51821817,52348137,52374411,53150062,53189830,53610128,54216497,54309556,54375096,54751957,54973977,55475142,55759857,55806615,55890753,56937057,57187156,57422513,57920046,58006822,59011301,59250580,59527056,59538171,59547822,59749050,59750885,59760184,60066753,60150337,60311394,60626873,61171983,61626417,62145537,62793897,63054958,63732320,63779285,63827796,64057961,64080961,64768961,64825606,65579590,65609813,65897673,66089081,66142726,66800337,66827617,66967938,67085777,67126385,67230207,67335073,68216433,68342357,68418676,68462705,68602137,70655577,70731241,70878775,71100696,71285038,71424033,71698860,71701062,71807937,72029422,72383681,72437590,72713797,72911284,73128485,73152580,73213737,73248376,73341393,73793585,73815406,73844596,74520313,74627735,74641457,74871393,75928660,76222335,76422917,76478784,76535142,77005942,77159913,77585080,78695508,78934497,79314153,79422617,79650196,79818257,79988283,80199177,80454022,80551662,80956833,81230644,81303824,81535342,81746705,82091697,82155246,82404423,82686598,83033782,83445973,83462806,84142804,85054530,85142117,85231393,85261417,85491118,85541428,85735257,86038632,86362085,86486577,86611713,86861913,86925108,87283215,87754182,87783096,87824657,88111473,88381558,88405163,88552302,89553282,89693417,90603393,90724832,90740875,91022033,91114392,91162582,91348846,91464022,91466802,91473297,91544230,91661062,92363713,92558981,92657158,92924885,93102096,93209577,94075953,94446897,94465582,94694073,94886705,95073862,95558433,96572261,96645286,96778264,96793461,97576841,97741937,97775673,98096046,98686577,98755983,98758617,99826671,...,367564163690648980072679858193646045505812647268484937648510320932558444936864712094538668831458482152983213883090074758465672306014884921481156932572563704384919445948523813139180612700920622064647766719514092443102730756615695360452882261054666985179074739188882278949653242874027762901244477209778975109061722819148071387445249414055361511256782753178563452980353114945485219368699052486820609766971776549559081677878932388290616662244257823075138773908254452283082215580545183943806030388766226768309752376962338010569025888898106705204638231658350131527868826732085323846682727111698782546556353906619784751057130812788047655736548947918156634802962182423899769671075985923169734078237617375191269409027754998639640162888004781131654701265297963898425941243706891409272584904792925242603221139714540974129529432445287658907993381592027828810985526495242457870236585882088446608649205469475439123825165901280379431996080869481337651483057246445354535447534249635250612895028928966712019566863381537700883917034957437014112486517203397998466733153561240310204192031395704968471922456818686556075780625415529239018162016319350229501017162235864742923996578699870850924176352682859570840456191637147837542775804420703226046564223730139519548116300056746859894116997818320329285834334832914336942322043113627463131209881414588608810774524748202745411923907256593374405220070593326524573788771858854133200344596288933829760874614077974180601151364478936655920176687622492037306032520907724919864260863748173162379173287408367337075542021585242845423443198786206965173992713717999870471842298006773644826170145589451159567784783385687814029710325752979035594218436865581089119816384012685022546074775209571090106588550450454741484487054097498437452254486453706734348165909891587719722778305171490643483064372606886599592876285248172995179530511461453290556275098627313949511311531995589469545243799202326141465187112891993771912432476405568381124682702583788409910609246749779393767564897588365623932552256670090727844291228566855591852965192325372157510319570773298811681766986451305841422489529774539300805608429280955835677795029346580405193990917647709764484736916277471430940618230017096350449490919062320849914329166667949472442187117936610961499214741651382609575367379771780599272855031598122893263262172208969149286035400644207354902751271727872800088532537036058009510997516256857460241306343213581701332387669649197472029976529948201514925770899801187101295095451802957130910544772236201269593704915623449430063262068010877695885998584281062901394091095210691488319574745493035115751374028424797632655533974335168784940615486654859435425832763262116197380092616483277128470748017788358095424557918497824758637669198885575175254609098734257229654925053127657799661376948130334106939714581180352649743869839483713046790284653185209085168776180375570605289273549731676831919021024394337264954941017531521501516262147119265926196231066787396155613779208154003306267310688589188738039380663777676560214179374518971450752601939905389031927369564311793437295091715424524779344301241917625816285017086486213453091107962606176535821461907040109982392575459611957370688701214771084314245301099655443989644626977821021749982210320562460677040974698650344306173772772925330249173154642311547624323099107812742799283628953345345920106831733249385604866983202653790438064995402692241439198644818783662056073725111916865306779855471548469901132466482032967523209756031528146459927228685360504443244292674279535084713895180532486325225288520857112978083905666677651814544764120716403251750598696196844481727032619070042482536452528424993371575833136342388738525070577241023049419331639730812904555053800146979836805228054603280822467701203}
23464 109743937196836681004493796725962226451268254282469188721438492474929501421563: {117295,140754,398599,1100599,1219244,1452722,2063336,2321253,2499199,2717996,3056623,3195799,3446709,3890599,4027724,4029343,4103225,4923870,5252128,5709356,5861750,5908644,6101863,7034100,7039922,7503040,7680776,8021599,8320076,8440920,8640873,8840023,8981834,9003648,9248263,9496035,9623084,9811922,10129104,10198303,10604383,11044328,11279743,11317173,11395242,11549383,11853164,11953303,12424869,12759199,12893263,12966476,13428799,13472825,13562503,13893356,14691237,14762599,14895583,15189644,15312722,15426799,15534753,15559724,16167390,16638728,16853996,16881703,17245216,17540143,17777516,18195009,18589903,18718569,18720799,18857354,18872456,19400522,19400868,19943114,21231513,21452983,21647564,21660725,21814261,21907985,22098823,22917074,23128423,23301836,23852684,24403244,24446696,24536599,24800522,25136876,25559816,25992870,26289582,26316223,26442799,26569303,27074599,27151724,27478922,27502533,27718873,27725728,28311153,28754793,28959199,29345324,30330943,31116776,31163230,31186661,31191444,31446799,31570423,31940863,32679799,33335528,34027783,34393903,34445804,34637623,34990796,35002663,35006373,35245663,35898476,36624044,36739922,36938599,36986636,37263794,37395876,37502469,38616716,38797676,39036046,39598390,39701996,39882764,39925985,39926599,40424876,40518799,40735653,40786124,40991263,41109199,41327756,41434034,42049484,42401743,42869599,42950924,43405145,44141045,44150263,44498023,44518900,44613799,44751404,45310154,45652543,45824522,45830156,46908862,47484799,47518068,47578209,47598703,47701256,47911182,47984204,48167143,48494825,48898634,49749199,49902728,51166145,51317143,51428599,52086174,52205522,52290161,52969254,53202103,53422680,53663913,54081943,54774956,54953036,55284199,55487084,55765780,55936303,56140569,56261383,56640725,56951385,56984192,57245522,57350949,57746354,57877063,58193790,58518799,58685324,59571884,60100515,60639199,60748144,60928197,61342604,61399374,61696364,61732274,61793143,62007350,62073376,62213109,62226764,62722994,62933516,63765799,64092329,64107216,64204754,64280599,64521836,64697522,64895983,65403116,66340328,66635564,66918936,67012660,67163276,67331599,67459317,67514924,67886945,67968870,68217836,68341662,68434063,69095756,69329599,69725743,69797516,69832548,70317799,70808522,71140846,71483945,71883943,71999889,72120618,72500128,72503474,72660103,73142863,73298636,73966856,74063225,74198599,74346476,74408820,74521004,74632869,74700230,74770783,74912594,75283803,75916076,76001623,76471783,76659343,76810209,77018513,77226728,77545994,77871463,77964199,78022922,78979543,79254943,79369408,79384228,79397096,79665400,79725093,79784745,80089004,80398922,80415192,80872394,81464334,81562644,81704383,82152223,82168556,82860716,83200601,83212713,83231114,83725196,83749543,84626863,84680981,84801463,85103728,85523345,85583599,85780734,86015599,86880069,86975114,87010233,87863564,87977669,88064143,88485703,88653823,88875870,88905463,89064914,89067116,89290584,89321733,89490103,89623575,89640276,90467091,90469141,90566503,90648799,90955244,91139105,91373234,91440725,91469516,91549303,91560470,92305745,92360383,92602303,92751314,93004063,94207436,94356583,94582437,94800928,94910825,95232044,95376823,95491922,95598480,95601416,95741694,95743916,95921143,96173834,96692623,96981350,97081034,97238409,97380799,97618316,97760599,97788524,98369385,98514799,98589823,98888522,98889199,99214089,99562745,99706543,99828524,...,490085551587531973430239810924861394007750196357979916864680427910077926582486282792718225108611309537310951844120099677954229741353179895308209243430084939179892594598031750852240816934560829419530355626018789924136974342154260480603843014739555980238766318918509705266204323832037017201659302946371966812082297092197428516593665885407148681675710337571417937307137486593980292491598736649094146355962368732745442237171909851054155549659010430766851698544339269710776287440726911925074707185021635691079669835949784014092034518530808940272850975544466842037158435642780431795576969482265043395408471875493046334742841083717396874315398597224208846403949576565199692894767981230892978770983489833588359212037006664852853550517339708175539601687063951864567921658275855212363446539723900323470961519619387965506039243260383545210657842122703771747980701993656610493648781176117928811532273959300585498433554535040505909328107825975116868644076328593806047263378999513667483860038571955616026089151175383601178556046609916018816648689604530664622310871414987080272256041860939957962563275758248741434374167220705652024216021759133639334689549647819657231995438266494467898901803577146094453941588849530450057034405894270968062085631640186026064155066742329146525489330424427105714445779777219115923096057484836617508279841886118145081032699664270327215898543008791165873626760791102032765051695811805510933792795051911773014499485437298907468201819305248874560235583496656049741376694543633226485681151664230883172231049877823116100722695446990460564590931714942620231990284957333160629123064009031526434893527452601546090379711180917085372947101003972047458957915820774785493088512016913363394766366946094786808784733933939655312649405463331249936339315271608979130887879855450292963704406895320857977419163475848799457168380330897326906040681948604387408366798169751932681748709327452626060325065603101521953582817189325029216576635207424508166243603445051213214145662333039191690086530117820831910069675560120970459054971422474122470620256433829543347092761031065082242355981935074455229986039699385734407477905707941114237060039128773873591987890196946352646315888369961907920824306689461800599321225416427799885772222223932629922916157248814615332286322201843479433823173029040799030473375464163857684349562945292199048047200858943139870335028970497066784710049381410679347996688342476613655075124284775601776516892865596629373302039930935353234361199734916135060127269070609507880726362981601692791606554164599240084349424014503594514664779041417201858788126947588651092766327324046821001832037899730176874045299113558379920820648873145913901110351016154929840123488644369504627664023717810793899410557997099678183558931847433567006145464979009639539900070836877066215169264173778809252952774907136866325159785978284062387046204246945446891701573834094140385698066308902442558694699192449686606588023375362002021682862825687901594974755716528207485038944205337741689747584785584984052507551703568746952239166025295267670135919873852042569826085749057916393455620566033039125734989223501088380022781981617937454810616808235381095282542720146643190100612815943160918268286361445752327068132873925319526169303761362333309613760749947569387966264867125741565030363900440332230872856415396832430798810416990399044838604460461226809108977665847473155977603538387250753327203589655252264859758378216074764966815889153742373140628731293201509955309377290030946341375370861946569638247147339257659056899039380112951860240709981766967051361142817304111874222236869086059685494288537669000798261595792642302710158760056643381936704566657828767777515123184984700094102988030732559108852974417206073405066862639782406970739471041096623601604}
23465 110133854919035222476803249831587163102299603642006441117660193753101763236064: {187672,211131,1524055,1805419,1828866,2179083,2579170,3095004,3397495,4076994,4595612,5034655,5928043,6041586,6565160,6720679,6771559,7136695,7385805,7878192,8564034,8792625,8862966,9378800,9530719,9600970,9663787,10400095,10551150,10559883,11254560,11521164,11574914,12004864,12028855,12340759,12480114,12661380,12902767,13472751,13505472,13805410,14434626,14558887,14717883,14816455,15089564,15193656,16121911,16208095,16513399,16566492,17092863,17366695,17779746,18987055,19449655,19449714,19588316,20713004,20798410,20840034,20895307,21067495,21337723,21390859,21556520,22221895,22364839,22784466,22969083,23089162,23141611,23339586,23590570,24251085,24260012,24775186,24921919,24958092,25107127,25215151,25280994,25867824,26666274,27059455,27227179,27283234,28286031,28308684,29100783,29101302,29127295,29168587,29815855,29914671,30504055,30558370,31384567,31421095,31949770,32471346,32587819,33939655,34284991,34375611,34657160,34952754,35052776,35779026,36604866,36670044,36681655,37200783,37391602,37705314,37748204,38164843,38339724,38895970,38989305,39236551,39434373,39496687,39715663,40233919,40727586,41218383,41588592,41669410,41738599,41760763,42671794,43057255,43247167,43664887,43738495,44017986,44130514,44873095,45405967,45780055,46233295,46675164,46744845,46787166,47448187,48004034,48270895,48497095,49627495,49853455,49861168,50003292,50095951,50350039,50531095,50785183,50982655,51014527,51626539,51659695,51668706,52354471,52486194,52561855,53154626,53257951,53510887,53688655,53847714,54291319,54314204,54936066,55109883,55290091,55479954,55648625,55895691,55939255,56093814,57287695,57925074,57997819,58020754,58047787,58196514,58495831,58554069,59397585,59552994,59626570,59803399,59824146,59980255,60637314,61179186,61358839,61991634,62151051,62163679,62378410,63074226,63357424,63437612,63881576,64063483,64161679,64426386,64720999,64831154,65577919,65652607,65953807,66778350,66964519,67127106,67211122,67573387,67965231,68468695,68691295,68736783,68745234,69358855,69448232,69472459,69695671,69707225,70236043,70363293,70625672,70678282,70807567,71230240,71277102,71551884,71627743,71866773,71976306,73055623,73347951,73356655,73736647,73864267,74464855,74465762,74854092,75704863,75935180,76323154,76467932,76678255,76855327,77120455,77375659,77591720,77783455,77867599,78129261,78308283,78666895,79172203,79283191,79453881,79825111,80134020,80652295,80889643,81237596,81693463,81753895,81865832,82162434,82429554,82925410,82950812,83230626,83294455,83296891,83648670,83651239,83765825,83954095,84245954,84393655,84907282,85272295,85476288,85694719,85868283,86369695,86619531,86657707,87172999,87246895,87272971,87290685,88027986,88212631,88389122,88599874,89177026,89225248,89290999,89295391,89357826,89645386,89945756,90298591,90625160,91122216,91623295,91811426,92013906,92099061,92259067,92327839,92458570,92544546,92587351,92598411,92771479,92933095,93011025,93110064,93151255,93202219,93340146,93910207,93976939,94084491,94298167,94400274,94701343,94895095,95082026,95847787,95999852,96160824,96307131,96533410,96782754,97046283,97198123,97695271,98104674,98484583,98942359,98981599,99211760,99230285,99246370,99510492,99581750,99953346,...,735128327381297960145359716387292091011625294536969875297020641865116889873729424189077337662916964305966427766180149516931344612029769842962313865145127408769838891897047626278361225401841244129295533439028184886205461513231390720905764522109333970358149478377764557899306485748055525802488954419557950218123445638296142774890498828110723022513565506357126905960706229890970438737398104973641219533943553099118163355757864776581233324488515646150277547816508904566164431161090367887612060777532453536619504753924676021138051777796213410409276463316700263055737653464170647693365454223397565093112707813239569502114261625576095311473097895836313269605924364847799539342151971846339468156475234750382538818055509997279280325776009562263309402530595927796851882487413782818545169809585850485206442279429081948259058864890575317815986763184055657621971052990484915740473171764176893217298410938950878247650331802560758863992161738962675302966114492890709070895068499270501225790057857933424039133726763075401767834069914874028224973034406795996933466307122480620408384062791409936943844913637373112151561250831058478036324032638700459002034324471729485847993157399741701848352705365719141680912383274295675085551608841406452093128447460279039096232600113493719788233995636640658571668669665828673884644086227254926262419762829177217621549049496405490823847814513186748810440141186653049147577543717708266400689192577867659521749228155948361202302728957873311840353375244984074612065041815449839728521727496346324758346574816734674151084043170485690846886397572413930347985427435999740943684596013547289652340291178902319135569566771375628059420651505958071188436873731162178239632768025370045092149550419142180213177100900909482968974108194996874904508972907413468696331819783175439445556610342981286966128745213773199185752570496345990359061022922906581112550197254627899022623063991178939090487598404652282930374225783987543824864952811136762249365405167576819821218493499558787535129795176731247865104513340181455688582457133711183705930384650744315020639141546597623363533972902611682844979059549078601611216858561911671355590058693160810387981835295419528969473832554942861881236460034192700898981838124641699828658333335898944884374235873221922998429483302765219150734759543561198545710063196245786526524344417938298572070801288414709805502543455745600177065074072116019021995032513714920482612686427163402664775339298394944059953059896403029851541799602374202590190903605914261821089544472402539187409831246898860126524136021755391771997168562125802788182190421382976639149490986070231502748056849595265311067948670337569881230973309718870851665526524232394760185232966554256941496035576716190849115836995649517275338397771150350509218197468514459309850106255315599322753896260668213879429162360705299487739678967426093580569306370418170337552360751141210578547099463353663838042048788674529909882035063043003032524294238531852392462133574792311227558416308006612534621377178377476078761327555353120428358749037942901505203879810778063854739128623586874590183430849049558688602483835251632570034172972426906182215925212353071642923814080219964785150919223914741377402429542168628490602199310887979289253955642043499964420641124921354081949397300688612347545545850660498346309284623095248646198215625485598567257906690691840213663466498771209733966405307580876129990805384482878397289637567324112147450223833730613559710943096939802264932964065935046419512063056292919854457370721008886488585348559070169427790361064972650450577041714225956167811333355303629089528241432806503501197392393688963454065238140084965072905056849986743151666272684777477050141154482046098838663279461625809110107600293959673610456109206561644935402406}
23466 110525148963039951236958868247557364939300171884956242343460360429790416245638: {164213,234590,281508,445493,797198,1567733,2201198,2266793,2438488,2545913,2743299,2905444,2964053,3242453,3868755,4029689,4126672,4583993,4642506,4998398,5435992,5551253,5744515,5964713,6102389,6113246,6115491,6239993,6391598,6423353,6789689,6893418,7109813,7781198,8055448,8058686,8067833,8206450,8477333,8749973,9062379,9430313,9847740,10108853,10334633,10504256,10650389,11418712,11550389,11723500,11817288,11999189,12203726,12846051,13294449,13875413,14008889,14068200,14079844,14401455,15006080,15029813,15361552,15560789,15826725,16043198,16531253,16640152,16795253,16881840,17190713,17281746,17362371,17453993,17680046,17848373,17963668,18007296,18067193,18496526,18635189,18720171,18722453,18766073,18861955,18992070,19246168,19288889,19623844,20258208,20396606,20708115,21208766,21651939,22088656,22100789,22401593,22559486,22634346,22744889,22790484,22873493,23098766,23173289,23706328,23906606,23942393,24485395,24538793,24849738,24963833,25091189,25518398,25786526,25891255,25932952,25938389,26445173,26571689,26669619,26857598,26945650,27125006,27497273,27786712,28335353,28961813,29174571,29211893,29382474,29525198,29791166,30325015,30333689,30379288,30625444,30671179,30853598,30871733,31069506,31119448,31197615,31260051,31449653,31490873,31696853,31984889,32334780,32723753,33277456,33419189,33707992,33763406,34176699,34490432,34633743,35009379,35080286,35127413,35385855,35532053,35555032,36258389,36338933,36390018,36856963,36861689,36982133,37162779,37179806,37182713,37437138,37441598,37714708,37744912,37921491,38062889,38660789,38801044,38801736,39886228,39999411,40325333,40522553,40561973,40758953,40924851,41113013,41936633,42405689,42463026,42522773,42905966,42912533,43295128,43321450,43628522,43651953,43815970,44197646,44270393,44540789,44617973,44656553,45695189,45834148,45837555,45886889,46256846,46603672,47185255,47527253,47705368,47924655,48171689,48436373,48625193,48707019,48806488,48851513,48893392,49073198,49601044,50128553,50273752,50539733,51119632,51433493,51985740,52429131,52470389,52579164,52632446,52885598,53138606,53668539,53867573,54123689,54149198,54303448,54415913,54561833,54907299,54957844,55005066,55289513,55325813,55437746,55451456,55652153,55896379,55941689,56087403,56194613,56302889,56411093,56557971,56622306,56951033,57509586,57918389,57918398,58343955,58690648,59694389,59941433,60645113,60661886,60767203,61091379,61797463,61799189,62233552,62326460,62373322,62382888,62504115,62563733,62893598,63140846,63289913,63462293,63881726,64007691,64321193,65141033,65359598,66026979,66195771,66671056,66867893,66935189,67271189,67539413,67892755,68055566,68787806,68891608,69275246,69369593,69981592,70005326,70012746,70160633,70180749,70357673,70491326,70521653,70652693,71632603,71728889,71796952,71891189,72006051,72699689,73248088,73479844,73567253,73759253,73877198,73973272,74206133,74237993,74397173,74527588,74791752,75004938,75726389,76134953,76417013,76667189,77233432,77503059,77595352,77693753,77910389,78072092,78157493,78619433,78729291,79079573,79196780,79293689,79297015,79403992,79731939,79765528,79851970,79853198,79903289,80267513,80570153,80771571,80849752,81037598,81173033,81353273,81471306,81572248,81712889,81802613,81982526,82160789,82218398,82404099,82655512,82814453,82868068,83219931,83846393,84098968,84140721,84723113,84803486,85245689,85448213,85621493,85739198,85901848,86024693,86053433,86311733,86740793,86810290,86887611,87031131,87294771,87678389,87819689,87904373,88282090,88300526,88523189,88996046,89037800,89227598,89329491,89416373,89439855,89502808,89736219,90620308,90955971,91021879,91305086,91559189,91649044,91660312,91768779,91965689,92451113,92639189,92853653,92987451,92988907,93493973,93567615,93653333,93817724,93838889,94366889,94611339,94708373,94918975,94943993,94969598,95036136,95041723,95100713,95156418,95197406,95402512,95413289,95465273,95584915,95822364,95968408,96241193,96334286,96575189,96639579,96703289,96882293,96989650,97246731,97645013,97771433,97796693,97797268,98327983,98525753,98550773,98900213,99148853,99498398,99520313,99594389,99805456,...,1102692491071946940218039574580938136517437941805454812945530962797675334810594136283616006494375446458949641649270224275397016918044654764443470797717691113154758337845571439417541838102761866193943300158542277329308192269847086081358646783164000955537224217566646836848959728622083288703733431629336925327185168457444214162335748242166084533770348259535690358941059344836455658106097157460461829300915329648677245033636797164871849986732773469225416321724763356849246646741635551831418091166298680304929257130887014031707077666694320115613914694975050394583606480196255971540048181335096347639669061719859354253171392438364142967209646843754469904408886547271699309013227957769509202234712852125573808227083264995918920488664014343394964103795893891695277823731120674227817754714378775727809663419143622922388588297335862976723980144776083486432956579485727373610709757646265339825947616408426317371475497703841138295988242608444012954449171739336063606342602748905751838685086786900136058700590144613102651751104872311042337459551610193995400199460683720930612576094187114905415767370456059668227341876246587717054486048958050688503051486707594228771989736099612552772529058048578712521368574911443512628327413262109678139692671190418558644348900170240579682350993454960987857503004498743010826966129340882389393629644243765826432323574244608236235771721769780123215660211779979573721366315576562399601033788866801489282623842233922541803454093436809967760530062867476111918097562723174759592782591244519487137519862225102011226626064755728536270329596358620895521978141153999611415526894020320934478510436768353478703354350157063442089130977258937106782655310596743267359449152038055067638224325628713270319765651351364224453461162292495312356763459361120203044497729674763159168334915514471930449193117820659798778628855744518985538591534384359871668825295881941848533934595986768408635731397606978424395561338675981315737297429216705143374048107751365229731827740249338181302694692765096871797656770010272183532873685700566775558895576976116472530958712319896435045300959353917524267468589323617902416825287842867507033385088039741215581972752943129293454210748832414292821854690051289051348472757186962549742987500003848417326561353809832884497644224954147828726102139315341797818565094794368679789786516626907447858106201932622064708253815183618400265597611108174028532992548770572380723919029640745103997163008947592416089929589844604544777312699403561303885286355408871392731634316708603808781114746870348290189786204032633087657995752843188704182273285632074464958724236479105347254122085274392897966601923005506354821846459964578306277498289786348592140277849449831385412244053365074286273673755493474275913007596656725525763827296202771688964775159382973398984130844391002320819143743541057949231609518451139140370853959555627255506328541126711815867820649195030495757063073183011794864823052594564504548786441357797778588693200362188466841337624462009918801932065767566214118141991333029680642538123556914352257805819716167095782108692935380311885275146273574338032903725752877448855051259458640359273323887818529607464385721120329947177726378835872112066103644313252942735903298966331968933880933463065249946630961687382031122924095951032918521318318775990747519463926934642872969297323438228397850886860036037760320495199748156814600949607961371314194986208076724317595934456350986168221175335750595920339566414645409703397399446098902569629268094584439379781686056081513329732878022838605254141685541597458975675865562571338934251717000032955443634292362149209755251796088590533445181097857210127447609357585274980114727499409027166215575211731723069148257994919192438713665161400440939510415684163809842467403103609}
23467 110917824155203016689774695870371499541205850760428499158365317508209512468263: {351885,375344,422262,1195797,2133677,3048110,3301797,3610838,3631805,3657732,4358166,4756493,5158340,6190008,6794990,6963759,7005869,7048517,7497597,7568213,8153988,9169869,9191224,9587397,9991373,10069310,10340127,11263577,11671797,11856086,12083172,12088029,12309675,13130320,13441358,13543118,13792613,14273390,14560133,14654375,14771610,15756384,16840397,17128068,17585250,17599805,17725932,18305589,18757600,19061438,19201940,19327574,20743037,20800190,21102300,21119766,22454585,22509120,22691333,23042328,23149828,24009728,24057710,24064797,24313373,24529805,24681518,24960228,25217309,25322760,25805534,25922619,26520069,26581877,26838653,26945502,27010944,27229517,27610820,27744789,28488105,28869252,29117774,29435766,29453177,29494493,29632910,30179128,30387312,30594909,31110653,31387253,31813149,32243822,32416190,33026798,33132984,33839229,33951519,34185726,34648149,34733390,35076869,35559492,35859909,37274607,37883237,37974110,38277597,38281805,38512877,38679789,38899310,38899428,39176632,39239909,40286397,40418475,40687509,40778213,41426008,41596820,41680068,41742197,41764349,41790614,42134990,42675446,42705677,42781718,43113040,43989533,44073711,44287797,44443790,44686749,44729678,45409853,45568932,45938166,46178324,46280397,46283222,46604259,46679172,47143385,47181140,47515517,47549177,48335069,48501305,48502170,48520024,48537413,49353629,49550372,49843838,49857785,49916184,50214254,50430302,50561988,50645109,51018893,51354317,51735648,52620429,52743833,53262509,53332548,54118910,54454358,54566468,54585027,55083893,55769709,56155707,56162397,56273573,56572062,56617368,57201293,57292685,58201566,58202604,58254590,58337174,58508813,59631710,59829342,60280157,60678533,61008110,61116740,61233893,62001305,62169017,62769134,62822333,62842190,63087257,63694539,63899540,64092077,64358949,64726613,64942692,64982175,65175638,65442783,65723955,66296469,66839093,67291517,67579253,67879310,67895933,68542877,68569982,68697305,68751222,69314320,69385269,69477053,69478493,69794837,69905508,70105552,70180373,70743533,71375717,71558052,71598713,72137549,72323573,73209732,73340088,73363310,73586597,73609797,74401566,74502269,74783204,75164117,75410628,75496408,75711389,76329686,76679448,77501177,77791940,77908075,77978610,78314957,78473102,78658133,78821933,78868746,78948669,78993374,79137869,79328397,79431326,79681349,79707909,80202773,80467838,80896589,81223797,81455172,82436766,82507599,83156619,83177184,83338820,83477198,83521526,83742137,83972357,84650969,84933459,85343588,85854413,86114510,86264379,86494334,86877597,87028493,87329774,87476990,88035972,88053557,88261028,88899197,89746190,90811934,90992829,91560110,91849805,92466590,93159485,93350328,93489690,93559983,93567149,93574332,94053593,94340397,94711269,94896374,95087273,95386493,95822589,95856173,96008068,96167813,96541790,96994190,97102397,97296917,97590115,98039397,98995975,99254990,99706910,99722336,...,1470256654762595920290719432774584182023250589073939750594041283730233779747458848378154675325833928611932855532360299033862689224059539685924627730290254817539677783794095252556722450803682488258591066878056369772410923026462781441811529044218667940716298956755529115798612971496111051604977908839115900436246891276592285549780997656221446045027131012714253811921412459781940877474796209947282439067887106198236326711515729553162466648977031292300555095633017809132328862322180735775224121555064907073239009507849352042276103555592426820818552926633400526111475306928341295386730908446795130186225415626479139004228523251152190622946195791672626539211848729695599078684303943692678936312950469500765077636111019994558560651552019124526618805061191855593703764974827565637090339619171700970412884558858163896518117729781150635631973526368111315243942105980969831480946343528353786434596821877901756495300663605121517727984323477925350605932228985781418141790136998541002451580115715866848078267453526150803535668139829748056449946068813591993866932614244961240816768125582819873887689827274746224303122501662116956072648065277400918004068648943458971695986314799483403696705410731438283361824766548591350171103217682812904186256894920558078192465200226987439576467991273281317143337339331657347769288172454509852524839525658354435243098098992810981647695629026373497620880282373306098295155087435416532801378385155735319043498456311896722404605457915746623680706750489968149224130083630899679457043454992692649516693149633469348302168086340971381693772795144827860695970854871999481887369192027094579304680582357804638271139133542751256118841303011916142376873747462324356479265536050740090184299100838284360426354201801818965937948216389993749809017945814826937392663639566350878891113220685962573932257490427546398371505140992691980718122045845813162225100394509255798045246127982357878180975196809304565860748451567975087649729905622273524498730810335153639642436986999117575070259590353462495730209026680362911377164914267422367411860769301488630041278283093195246727067945805223365689958119098157203222433717123823342711180117386321620775963670590839057938947665109885723762472920068385401797963676249283399657316666671797889768748471746443845996858966605530438301469519087122397091420126392491573053048688835876597144141602576829419611005086911491200354130148144232038043990065027429840965225372854326805329550678596789888119906119792806059703083599204748405180381807211828523642179088944805078374819662493797720253048272043510783543994337124251605576364380842765953278298981972140463005496113699190530622135897340675139762461946619437741703331053048464789520370465933108513882992071153432381698231673991299034550676795542300701018436394937028918619700212510631198645507792521336427758858324721410598975479357934852187161138612740836340675104721502282421157094198926707327676084097577349059819764070126086006065048588477063704784924267149584622455116832616013225069242754356754952157522655110706240856717498075885803010407759621556127709478257247173749180366861698099117377204967670503265140068345944853812364431850424706143285847628160439929570301838447829482754804859084337256981204398621775958578507911284086999928841282249842708163898794601377224695091091701320996692618569246190497292396431250971197134515813381383680427326932997542419467932810615161752259981610768965756794579275134648224294900447667461227119421886193879604529865928131870092839024126112585839708914741442017772977170697118140338855580722129945300901154083428451912335622666710607258179056482865613007002394784787377926908130476280169930145810113699973486303332545369554954100282308964092197677326558923251618220215200587919347220912218413123289870804812}
23468 111311885338690432785139581028823833870028935372590189032312155506935313530549: {328426,469180,563016,633393,866947,890986,1594396,2266987,3135466,3659827,4402396,4533586,4572165,4630531,4876976,5091826,5416257,5486598,5597707,5810888,5928106,6286387,6447925,6484906,6537249,7737510,7795147,8042321,8059378,8253344,9159187,9167986,9285012,9431131,9996796,10109731,10192485,10516027,10871984,11102506,11489030,11929426,12204778,12226492,12230982,12479986,12537787,12783196,12846706,13579378,13786836,13876627,14219626,15075427,15103965,15562396,15738907,16110896,16117372,16135666,16412900,16532707,16954666,17060467,17455531,17499946,17784129,18124758,18767731,18860626,19695480,20162037,20217706,20314677,20669266,20722531,21008512,21111547,21300778,21410085,21758467,22157415,22837424,22918387,23100778,23447000,23634576,23998378,24002425,24328147,24407452,25692102,26377875,26406737,26588898,27750826,28017778,28136400,28159688,28379731,28592157,28755787,28802910,28937285,28991361,29256187,30012160,30059626,30723104,31121578,31200285,31493731,31653450,31679649,32086396,32357587,33062506,33280304,33585547,33590506,33763680,34279553,34381426,34513525,34563492,34724742,34907986,34927987,35171131,35360092,35535307,35696746,35927336,36014592,36086565,36134386,36247757,36382531,36993052,37022277,37270378,37440342,37444906,37532146,37723910,37826707,37984140,38492336,38577778,38708301,39247688,40329067,40418253,40516416,40565731,40793212,41416230,41979667,42417532,42455021,42682747,43303878,43558229,43676661,44153649,44177312,44201578,44449365,44660731,44803186,45118972,45268692,45489778,45580968,45746986,46197532,46346578,47189587,47412656,47813212,47884786,48327547,48365733,48624285,48893827,48970790,49077586,49540197,49570987,49699476,49927666,50182378,51036796,51252547,51278589,51573052,51782510,51809467,51865904,51876778,51996025,52100085,52807387,52890346,53138731,53143378,53339238,53715196,53891300,54250012,54994546,55331131,55573424,56416531,56670706,56956531,56961165,57722905,57923626,58348965,58349142,58423786,58764948,58885627,58976425,59050396,59582332,59947267,60650030,60667378,60758576,61250888,61342358,61707196,61743466,61937965,62048947,62139012,62238896,62395230,62465827,62520102,62685921,62777731,62899306,62981746,63202485,63296131,63393706,63502987,63969778,64013169,64172577,64532947,64669560,65447506,66059357,66554912,66665685,66672427,66838378,66874531,67094517,67415984,67526812,67579627,68208085,68353398,68907249,68980864,69178027,69267486,69424833,70018758,70160572,70254826,70561507,70771710,71064106,71110064,71638627,72516778,72677866,72753255,72780036,72996907,73286131,73713926,73723378,73964266,74245531,74325558,74359612,74365426,74765757,74874276,74883196,75321381,75429416,75489824,75645453,75842982,76125778,76395925,77321578,77360467,77602088,77603472,78196387,78288907,78658267,79772456,79874425,79998822,80306131,80650666,80940667,81045106,81123946,81178365,81211531,81391747,81517906,81681537,81841027,81849702,82170253,82226026,82823107,83873266,84811378,84858093,84926052,85045546,85811932,85825066,86062531,86590256,86642900,87257044,87302349,87303906,87381885,87505761,87631940,88395292,88540786,89081578,89235946,89313106,89447565,89453731,89744013,90035347,91390378,91512165,91668296,91675110,91677667,91773778,92164747,92488027,92513692,93207344,93479005,93690067,94153701,94263285,94370510,94561267,94718731,95049857,95054506,95410736,95849310,96343378,96872746,96892987,97239925,97250386,97414038,97612976,97655827,97703026,97763457,97786784,97807531,98146396,98561731,99202088,99531427,...,2205384982143893880436079149161876273034875883610909625891061925595350669621188272567232012988750892917899283298540448550794033836089309528886941595435382226309516675691142878835083676205523732387886600317084554658616384539694172162717293566328001911074448435133293673697919457244166577407466863258673850654370336914888428324671496484332169067540696519071380717882118689672911316212194314920923658601830659297354490067273594329743699973465546938450832643449526713698493293483271103662836182332597360609858514261774028063414155333388640231227829389950100789167212960392511943080096362670192695279338123439718708506342784876728285934419293687508939808817773094543398618026455915539018404469425704251147616454166529991837840977328028686789928207591787783390555647462241348455635509428757551455619326838287245844777176594671725953447960289552166972865913158971454747221419515292530679651895232816852634742950995407682276591976485216888025908898343478672127212685205497811503677370173573800272117401180289226205303502209744622084674919103220387990800398921367441861225152188374229810831534740912119336454683752493175434108972097916101377006102973415188457543979472199225105545058116097157425042737149822887025256654826524219356279385342380837117288697800340481159364701986909921975715006008997486021653932258681764778787259288487531652864647148489216472471543443539560246431320423559959147442732631153124799202067577733602978565247684467845083606908186873619935521060125734952223836195125446349519185565182489038974275039724450204022453252129511457072540659192717241791043956282307999222831053788040641868957020873536706957406708700314126884178261954517874213565310621193486534718898304076110135276448651257426540639531302702728448906922324584990624713526918722240406088995459349526318336669831028943860898386235641319597557257711489037971077183068768719743337650591763883697067869191973536817271462795213956848791122677351962631474594858433410286748096215502730459463655480498676362605389385530193743595313540020544367065747371401133551117791153952232945061917424639792870090601918707835048534937178647235804833650575685735014066770176079482431163945505886258586908421497664828585643709380102578102696945514373925099485975000007696834653122707619665768995288449908295657452204278630683595637130189588737359579573033253814895716212403865244129416507630367236800531195222216348057065985097541144761447838059281490207994326017895184832179859179689209089554625398807122607770572710817742785463268633417207617562229493740696580379572408065266175315991505686377408364546571264148929917448472958210694508244170548785795933203846011012709643692919929156612554996579572697184280555698899662770824488106730148572547347510986948551826015193313451051527654592405543377929550318765946797968261688782004641638287487082115898463219036902278280741707919111254511012657082253423631735641298390060991514126146366023589729646105189129009097572882715595557177386400724376933682675248924019837603864131535132428236283982666059361285076247113828704515611639432334191564217385870760623770550292547148676065807451505754897710102518917280718546647775637059214928771442240659894355452757671744224132207288626505885471806597932663937867761866926130499893261923374764062245848191902065837042636637551981495038927853869285745938594646876456795701773720072075520640990399496313629201899215922742628389972416153448635191868912701972336442350671501191840679132829290819406794798892197805139258536189168878759563372112163026659465756045677210508283371083194917951351731125142677868503434000065910887268584724298419510503592177181066890362195714420254895218715170549960229454998818054332431150423463446138296515989838384877427330322800881879020831368327619684934806207218}
23469 111707337373540270010574664963929640702027544168368972600702816948853492747717: {492639,586475,703770,750688,844524,1336479,1992995,2391594,2837087,4267354,4703199,5084527,5502995,6096220,6603594,6800379,7221676,7263610,7315464,7637739,8229897,8458591,8716332,8892159,9512986,9727359,10316680,10561067,11606265,12089067,12380016,12495995,13589980,13751979,13927518,14011738,14097034,14995194,15136426,15185951,15283115,15619139,15978995,16307976,16653759,17233545,17894139,18307167,18339738,18346473,18382448,18719979,19174794,19270059,19452995,19982746,20138620,20146715,20369067,20516125,20680254,21082499,21329439,22527154,22878251,23343594,23712172,24166344,24176058,24203499,24619350,24639727,25294319,25431999,25949627,26249919,26260640,26882716,27086236,27187137,27585226,27821411,28290939,28546780,29120266,29308750,29543220,30326559,30509315,31003899,31436419,31512768,31951167,32973659,33614207,33680794,34256136,34341727,34651167,35079871,35144747,35170500,35199610,35451864,35997567,36611178,37515200,38122876,38403880,38538153,38655148,39883347,40107995,41486074,41600380,41626239,42026667,42204600,42239532,42785567,43204365,44200115,44834219,44909170,45018240,45089439,45382666,45836351,46084656,46241315,46299656,46682367,47480175,47811779,48019456,48115420,48116771,48129594,48541567,48626746,49059610,49357867,49363036,49593759,49920456,50385759,50434618,50645520,50991515,51572139,51611068,51845238,51935867,52087113,52361979,52748347,53021915,53040138,53163754,53545119,53594527,53677306,53891004,54021888,54201579,54459034,55221640,55489578,55905567,56160513,56167359,56220299,56298219,56398715,56529611,56585865,56976210,57437279,57738504,57746915,57866667,58212179,58235548,58871532,58906354,58988986,59265820,59766515,60358256,60642467,60774624,61189818,61564351,62124345,62221306,62774506,63626298,63795995,64466315,64487644,64832380,64955817,65589227,66000739,66053596,66265968,66302367,67143995,67204779,67364125,67678458,67812515,67901827,67903038,67992227,68234667,68359931,68371452,68463539,68616251,68620479,69146779,69296298,69466780,69483019,69519867,69800899,70153738,71118984,71719818,71827179,72402299,73037339,73456185,73616379,73812995,74477915,74549214,74891499,75273567,75766474,75948220,76442579,76555194,76563610,77025754,77133995,77359578,77673765,77798620,77798856,77815167,78353264,78479818,79335519,79715067,79838819,80008857,80022091,80209759,80572794,80836950,81375018,81556426,82491819,82852016,83193640,83360136,83484394,83528698,83581228,84269980,84408515,85006059,85164011,85253467,85350892,85411354,85563436,86226080,86801827,86885439,87523713,87635679,87700715,87912031,87979066,88147422,88575594,88887580,89373498,89414639,89459356,90819706,90975045,91001067,91045439,91137864,91217951,91775407,91876332,92013537,92356648,92560794,92566444,92615199,92949515,93208518,93358344,93592845,93603995,93780153,94168867,94286770,94348959,94362280,94472619,95031034,95090559,95098354,95954667,96176227,96597107,96670138,97002610,97004340,97040048,97074826,97601939,97767071,98171259,98412799,98707258,98998667,99100744,99687676,99715570,99832368,...,3308077473215840820654118723742814409552313825416364438836592888393026004431782408850848019483126339376848924947810672826191050754133964293330412393153073339464275013536714318252625514308285598581829900475626831987924576809541258244075940349492002866611672652699940510546879185866249866111200294888010775981555505372332642487007244726498253601311044778607071076823178034509366974318291472381385487902745988946031735100910391494615549960198320407676248965174290070547739940224906655494254273498896040914787771392661042095121233000082960346841744084925151183750819440588767914620144544005289042919007185159578062759514177315092428901628940531263409713226659641815097927039683873308527606704138556376721424681249794987756761465992043030184892311387681675085833471193362022683453264143136327183428990257430868767165764892007588930171940434328250459298869738457182120832129272938796019477842849225278952114426493111523414887964727825332038863347515218008190819027808246717255516055260360700408176101770433839307955253314616933127012378654830581986200598382051162791837728282561344716247302111368179004682025628739763151163458146874152065509154460122782686315969208298837658317587174145736137564105724734330537884982239786329034419078013571255675933046700510721739047052980364882963572509013496229032480898388022647168180888932731297479296970722733824708707315165309340369646980635339938721164098946729687198803101366600404467847871526701767625410362280310429903281590188602428335754292688169524278778347773733558461412559586675306033679878194267185608810988789075862686565934423461998834246580682060962803435531310305060436110063050471190326267392931776811320347965931790229802078347456114165202914672976886139810959296954054092673360383486877485937070290378083360609133493189024289477505004746543415791347579353461979396335886567233556956615774603153079615006475887645825545601803787960305225907194192820935273186684016027943947211892287650115430122144323254095689195483220748014543908084078295290615392970310030816550598621057101700326676686730928349417592876136959689305135902878061752572802405767970853707250475863528602521100155264119223646745918258829387880362632246497242878465564070153867154045418271560887649228962500011545251979684061429498653492932674862443486178306417946025393455695284383106039369359549880722343574318605797866194124761445550855200796792833324522085598977646311717142171757088922235311991489026842777248269788769533813634331938098210683911655859066226614178194902950125811426343344240611044870569358612097899262973987258529566112546819856896223394876172709437316041762366255823178693899805769016519064465539379893734918832494869359045776420833548349494156236732160095222858821021266480422827739022789970176577291481888608315066894325478148920196952392533173006962457431230623173847694828555353417421112561878666881766518985623380135447603461947585091487271189219549035384594469157783693513646359324073393335766079601086565400524012873386029756405796197302698642354425973999089041927614370670743056773417459148501287346326078806140935655825438820723014098711177258632346565153778375921077819971663455588822393157163360989841533179136507616336198310932939758828207709896898995906801642800389195749839892885062146093368772287853098755563954956327972242558391780803928618907891970314685193552660580108113280961485599244470443802848823884113942584958624230172952787803369052958504663526007251787761018699243936229110192198338296707708887804283753318139345058168244539989198634068515815762425056624792376927027596687714016802755151000098866330902877086447629265755388265771600335543293571630382342828072755824940344182498227081498646725635195169207444773984757577316140995484201322818531247052491429527402209310827}
23470 112104185136721047463839442885029789825724930803271832695003285677982786187745: {258049,539281,656852,938360,1055655,1126032,1241101,1266786,1661329,1733894,1781972,2360269,2639341,3057409,3188792,3196621,3474829,3587391,4030381,4169089,4446289,4533974,6241069,6270932,6401031,6516109,7202449,7319654,7620275,8160301,8804792,8842321,8978509,9027095,9067172,9144330,9261062,9753952,9905391,9929809,10183652,10200961,10336429,10742401,10832514,10895415,10973196,11195414,11621776,11687149,11856212,12572774,12895850,12896641,12969812,13030669,13074498,13566061,13699729,14100301,14269479,14899501,15032449,15475020,15563521,15590294,15961069,16084642,16118756,16357969,16506688,16886161,16987475,17281549,17544781,18318374,18335972,18570024,18725761,18862262,19379341,19993592,20219462,20384970,20891277,20940589,21017607,21032054,21145551,21743968,22205012,22492791,22704639,22978060,23775949,23858852,24409556,24452984,24461964,24670801,24959972,25075574,25173275,25566392,25693412,25943041,26449921,26576461,27158756,27208081,27509607,27573672,27753254,28340461,28439252,28762191,29640215,29974119,30090349,30150854,30207930,31020381,31124792,31477814,31579021,31702609,32221792,32234744,32271332,32811661,32825800,33065414,33603395,33790731,33857795,33909332,34120934,34159249,34911062,34999892,35015391,35133841,35376769,35568258,35683475,36249516,36264087,36345601,36929025,36948781,37535462,37670221,37721252,38747521,39390960,39462481,40324074,40411729,40435412,40512199,40629354,41002669,41120641,41238541,41338532,41377839,41445062,41944429,42017024,42223094,42530689,42601556,42820170,42998401,43516934,43680399,43963125,44162641,44278669,44314830,44626321,45434989,45674848,45836774,45895501,46201556,46894000,47269152,47612161,47653595,47996756,48004850,48197567,48318935,48656294,48814904,50212909,50521191,50773249,51384204,51443281,51477907,51666049,52000475,52755750,52799415,52813474,52996609,53177796,53327629,54097489,54645229,54916767,55409041,55501652,56035556,56060929,56272800,56277649,56319376,56759462,57033901,57184314,57464461,57511574,57605820,57679309,57874570,57982722,58512374,58642561,60024320,60119252,60129361,60144275,60762241,61446208,61703795,62229111,62243156,62400570,62987462,63306900,63359298,63784621,64172792,64513835,64715174,65017549,65222029,65731969,66125012,66560608,66948481,67171094,67181012,67351681,67363755,67527360,68073999,68354641,68559106,68762852,69027050,69052429,69126984,69449484,69746689,69815972,69855974,70342262,70437421,70720184,70830541,71070614,71222509,71393492,71808301,71854672,72029184,72173130,72194391,72268772,72495514,72765062,72778861,72794435,72940119,73453969,73589415,73986104,74044554,74082275,74125549,74540756,74880684,74889812,75064292,75447820,75651927,75653414,75968280,76495249,76589101,76776589,76984672,77155556,77416602,77767857,77895469,77988241,78080941,78495376,78635629,79095889,79279489,79560207,79745631,80515959,80609555,80658134,80812067,80836506,81032832,81040475,81099649,81131462,81586424,81688551,81819649,82267309,82566995,82832460,83157229,83234367,83775889,83863981,83959334,84740941,84835064,84910042,85365494,85464315,85697281,86607756,86713151,86833475,87116458,87353322,87837167,87838381,88307298,88354624,88359531,88403156,88483479,88514029,88898730,88933969,89321462,89602129,89606372,90237944,90537384,90678061,90979556,91161936,91415809,91493972,91784727,91904401,92395064,92471149,92693156,93331959,93673729,94161759,94379174,94825312,94935275,95439447,95486221,95491319,95626424,95769572,96030289,96655094,96731466,96954769,97110299,97248275,97248570,97336909,97489261,97787654,97941580,98155172,98622721,99080394,99141974,99220609,99398952,99855332,...,4410769964287787760872158298323752546069751767221819251782123851190701339242376545134464025977501785835798566597080897101588067672178619057773883190870764452619033351382285757670167352411047464775773200634169109317232769079388344325434587132656003822148896870266587347395838914488333154814933726517347701308740673829776856649342992968664338135081393038142761435764237379345822632424388629841847317203661318594708980134547188659487399946931093876901665286899053427396986586966542207325672364665194721219717028523548056126828310666777280462455658779900201578334425920785023886160192725340385390558676246879437417012685569753456571868838587375017879617635546189086797236052911831078036808938851408502295232908333059983675681954656057373579856415183575566781111294924482696911271018857515102911238653676574491689554353189343451906895920579104333945731826317942909494442839030585061359303790465633705269485901990815364553183952970433776051817796686957344254425370410995623007354740347147600544234802360578452410607004419489244169349838206440775981600797842734883722450304376748459621663069481824238672909367504986350868217944195832202754012205946830376915087958944398450211090116232194314850085474299645774050513309653048438712558770684761674234577395600680962318729403973819843951430012017994972043307864517363529557574518576975063305729294296978432944943086887079120492862640847119918294885465262306249598404135155467205957130495368935690167213816373747239871042120251469904447672390250892699038371130364978077948550079448900408044906504259022914145081318385434483582087912564615998445662107576081283737914041747073413914813417400628253768356523909035748427130621242386973069437796608152220270552897302514853081279062605405456897813844649169981249427053837444480812177990918699052636673339662057887721796772471282639195114515422978075942154366137537439486675301183527767394135738383947073634542925590427913697582245354703925262949189716866820573496192431005460918927310960997352725210778771060387487190627080041088734131494742802267102235582307904465890123834849279585740181203837415670097069874357294471609667301151371470028133540352158964862327891011772517173816842995329657171287418760205156205393891028747850198971950000015393669306245415239331537990576899816591314904408557261367191274260379177474719159146066507629791432424807730488258833015260734473601062390444432696114131970195082289522895676118562980415988652035790369664359718359378418179109250797614245215541145421635485570926537266834415235124458987481393160759144816130532350631983011372754816729093142528297859834896945916421389016488341097571591866407692022025419287385839858313225109993159145394368561111397799325541648976213460297145094695021973897103652030386626902103055309184811086755859100637531893595936523377564009283276574974164231796926438073804556561483415838222509022025314164506847263471282596780121983028252292732047179459292210378258018195145765431191114354772801448753867365350497848039675207728263070264856472567965332118722570152494227657409031223278864668383128434771741521247541100585094297352131614903011509795420205037834561437093295551274118429857542884481319788710905515343488448264414577253011770943613195865327875735523733852260999786523846749528124491696383804131674085273275103962990077855707738571491877189293752913591403547440144151041281980798992627258403798431845485256779944832306897270383737825403944672884701343002383681358265658581638813589597784395610278517072378337757519126744224326053318931512091354421016566742166389835902703462250285355737006868000131821774537169448596839021007184354362133780724391428840509790437430341099920458909997636108664862300846926892276593031979676769754854660645601763758041662736655239369869612414436}
23471 112502433522190325689005386330961803194579607238772001816943262358485750767204: {821065,985278,1172950,1407540,1501376,1689048,1900179,2227465,2600841,2672958,2790193,3352921,3985990,4783188,5674174,6800961,7474489,7704193,7838665,8534708,9161521,9406398,10169054,10979481,11005990,11076241,11333965,12192440,12481261,12729565,13207188,13600758,13716495,13891593,14443352,14527220,14630928,14729293,14820265,15275478,15700729,16212265,16248771,16459794,16696321,16793121,16917182,17432664,17494393,17784318,17947033,18859161,19025972,19343775,19454718,19611747,20148445,20633360,21122134,21396361,22370593,22880209,22919965,23212530,23385441,23562793,24126963,24178134,24760032,24991990,26463481,27037933,27179960,27234193,27477561,27503958,27756265,27855036,28023476,28194068,28205401,28293393,28722575,29178553,29740129,29823565,29990388,30272852,30329193,30371902,30511945,30566230,30577455,30667741,31199965,31238278,31548081,31957990,32116765,32596201,32615952,32976481,33307518,33948445,34467090,35549065,35657809,35788278,36614334,36679476,36692946,36764896,36852913,37439958,37613361,38206729,38349588,38515693,38540118,38905990,39725881,39965492,40277240,40293430,40339165,40738134,41032250,41360508,41534701,41629881,41771521,42164998,42386665,42461473,42658878,42713041,42789241,43749865,45054308,45226281,45311895,45756502,46348489,46687188,47151565,47216721,47424344,48120889,48332688,48352116,48406998,48888169,49238700,49279454,49472173,49598121,50108833,50362993,50544265,50564761,50588638,50863998,51181401,51435169,51673165,51899254,52366593,52499838,52521280,53251945,53352387,53765432,54170233,54172472,54374274,55170452,55642822,56151193,56303193,56534449,56581878,57093560,57751945,58045969,58217161,58240532,58445869,58510873,58617500,59086440,59287153,59530801,59995945,60097561,60486111,60653118,60944031,61018630,61880161,62007798,62167593,62179693,62872838,63025536,63334641,63902334,64080049,64230255,64539361,64737841,65275401,65594881,65947318,66472245,67108921,67228414,67361588,68120641,68512272,68683454,68755161,69126409,69302334,69377065,69713593,69907501,70044445,70159742,70289494,70341000,70399220,70903728,71308921,71388121,71995134,72007275,72984441,73074409,73222356,73452961,73551193,73755613,74230681,74667241,75030400,75149065,75513181,76245752,76518073,76807760,77076306,77310296,77395561,77514541,77803945,78958201,79133625,79220211,79766694,80215990,80699641,80845681,80910481,81091933,81714481,82656265,82972148,83200760,83252478,83673121,83976265,84053334,84103801,84409200,84479064,85139193,85571134,85776471,85953565,86267361,86408730,86811855,86974083,87195421,87269965,87768561,88400230,88558489,89241865,89314393,89318353,89632993,89668438,89818340,90036480,90178878,90252841,90335965,90765332,91672702,92169312,92351593,92482630,92599312,92795341,93175945,93364734,93600855,93612265,93830365,94001593,94309775,94481193,94725961,94937521,94960350,95038947,95623558,95798473,96038912,96224689,96230840,96233542,96259188,96444445,97072761,97083134,97253492,97505101,97720393,98119220,98509921,98715734,98720809,98726072,99007201,99187518,99840912,...,6616154946431681641308237447485628819104627650832728877673185776786052008863564817701696038966252678753697849895621345652382101508267928586660824786306146678928550027073428636505251028616571197163659800951253663975849153619082516488151880698984005733223345305399881021093758371732499732222400589776021551963111010744665284974014489452996507202622089557214142153646356069018733948636582944762770975805491977892063470201820782989231099920396640815352497930348580141095479880449813310988508546997792081829575542785322084190242466000165920693683488169850302367501638881177535829240289088010578085838014370319156125519028354630184857803257881062526819426453319283630195854079367746617055213408277112753442849362499589975513522931984086060369784622775363350171666942386724045366906528286272654366857980514861737534331529784015177860343880868656500918597739476914364241664258545877592038955685698450557904228852986223046829775929455650664077726695030436016381638055616493434511032110520721400816352203540867678615910506629233866254024757309661163972401196764102325583675456565122689432494604222736358009364051257479526302326916293748304131018308920245565372631938416597675316635174348291472275128211449468661075769964479572658068838156027142511351866093401021443478094105960729765927145018026992458064961796776045294336361777865462594958593941445467649417414630330618680739293961270679877442328197893459374397606202733200808935695743053403535250820724560620859806563180377204856671508585376339048557556695547467116922825119173350612067359756388534371217621977578151725373131868846923997668493161364121925606871062620610120872220126100942380652534785863553622640695931863580459604156694912228330405829345953772279621918593908108185346720766973754971874140580756166721218266986378048578955010009493086831582695158706923958792671773134467113913231549206306159230012951775291651091203607575920610451814388385641870546373368032055887894423784575300230860244288646508191378390966441496029087816168156590581230785940620061633101197242114203400653353373461856698835185752273919378610271805756123505145604811535941707414500951727057205042200310528238447293491836517658775760725264492994485756931128140307734308090836543121775298457925000023090503959368122858997306985865349724886972356612835892050786911390568766212078738719099761444687148637211595732388249522891101710401593585666649044171197955292623434284343514177844470623982978053685554496539577539067627268663876196421367823311718132453228356389805900251622852686688481222089741138717224195798525947974517059132225093639713792446789752345418874632083524732511646357387799611538033038128931078759787469837664989738718091552841667096698988312473464320190445717642042532960845655478045579940353154582963777216630133788650956297840393904785066346013924914862461246347695389657110706834842225123757333763533037971246760270895206923895170182974542378439098070769188938315567387027292718648146786671532159202173130801048025746772059512811592394605397284708851947998178083855228741341486113546834918297002574692652157612281871311650877641446028197422354517264693130307556751842155639943326911177644786314326721979683066358273015232672396621865879517656415419793797991813603285600778391499679785770124292186737544575706197511127909912655944485116783561607857237815783940629370387105321160216226561922971198488940887605697647768227885169917248460345905575606738105917009327052014503575522037398487872458220384396676593415417775608567506636278690116336489079978397268137031631524850113249584753854055193375428033605510302000197732661805754172895258531510776531543200671086587143260764685656145511649880688364996454162997293451270390338414889547969515154632281990968402645637062494104982859054804418621654}
23472 112902087440953500961735169946312637838068018577730687913650630786935720117240: {304967,516098,960671,1078562,1313704,1477917,1708127,1759425,1876720,2111310,2252064,2360471,2407007,2482202,2533572,3243287,3322658,3467788,3521471,3563944,4009437,4169447,4215671,4492847,4720538,5278682,5978985,6103967,6114818,6241607,6287471,6377584,6393242,6562487,6949658,7174782,7248767,8060762,8338178,8511261,8615927,8892578,9067948,9251471,9432767,9659207,9930671,9975887,10201847,10608071,10668385,11013647,11463527,11688167,12482138,12541864,12637933,12802062,13032218,13076471,13745471,14012567,14109597,14146007,14404898,14639308,15078071,15240550,15253581,16320602,16508985,16667687,17063471,17546327,17609584,17684642,17957018,18054190,18134344,18159025,18288660,18522124,18596471,18771047,19294007,19424567,19507904,19810782,19859618,20367304,20401137,20401922,20672858,20942447,21201671,21484802,21665028,21790830,21848471,21946392,22278671,22390828,22879607,22913217,23136671,23243552,23307887,23374298,23712424,23782465,23820767,24417671,24673007,24689691,25097927,25145548,25225247,25375773,25791700,25793282,25939624,26061338,26148996,26325671,26578847,26676477,26747471,27000167,27132122,27399458,28200602,28384847,28468487,28538958,28844471,29182077,29219807,29799002,30064898,30093071,30507671,30880127,30950040,31086767,31127042,31180588,31581887,31683201,31922138,32116967,32169284,32237512,32568671,32715938,33013376,33183071,33772322,33836447,33974950,34563098,34569047,34818795,35015471,35029345,35089562,35177567,35242585,35258567,35420471,36267201,36389207,36636748,36671944,36992327,37140048,37433471,37451522,37487985,37673687,37724524,37841065,38193167,38758682,38790887,39228071,39466127,39987184,40218071,40415471,40438924,40454927,40769940,41242367,41255937,41496301,41782554,41881178,41948327,41987471,42035214,42064108,42291102,42417527,42534647,43487936,43701887,43973207,44410024,44514671,44669087,44985582,45409278,45477671,45557853,45849345,45899807,45956120,46855607,46857417,47044753,47400913,47551898,47717704,47768471,47936985,48336671,48563447,48819112,48865367,48905968,48923928,49317287,49341602,49655471,49919944,49956865,49961277,50030471,50151148,50255087,50346550,50778071,51132784,51336671,51386824,51670967,51700635,51886082,52899842,53152922,53222447,53369471,53682417,53867869,54139247,54317512,54416162,54921501,55019214,55039419,55147344,55414367,55506508,55776887,56066327,56159937,56317885,56319167,56427407,56607647,56680922,56823671,56878504,56960761,57039407,57524382,57720671,57810177,58358985,58470287,58968071,59280430,59287247,59817767,59948238,60180698,60301708,60346487,60415860,60440145,60768167,61107201,61548375,62040762,62130671,62249584,62478071,62790047,62859287,62955628,63158042,63247497,63405218,63481007,63988317,64443584,64469488,64542664,64921607,65623322,65651600,65772407,66077471,66130828,66550727,66715033,66955127,67056047,67206790,67291247,67559567,67581462,67646509,67715590,67760471,67818664,68241868,68318498,68634753,68963065,69059327,69258071,69822124,69885527,69999784,70030782,70083071,70267682,70753538,70870367,71136516,71229671,71262287,71366950,72042671,72495767,72499032,72528174,72610497,72689471,72691202,72800665,73271875,73300967,73461407,73685687,73858050,73897562,73919181,75070924,75340442,75442504,75749567,75882957,76158287,76295997,76628207,76784447,76815671,77495042,77717687,77848881,77903471,77934407,78643727,78674471,78749757,78781920,78924962,79287671,79318247,79409927,80019287,80231807,80648148,80823458,80870824,81024398,81258708,81558671,81561411,81738407,81828167,81858071,82005338,82241282,82275887,82477082,82677064,82755678,82890124,83464233,83784671,83888858,84034048,84201985,84224471,84446188,84516671,84837167,84872817,85061378,85203112,85272647,85561967,85640340,85996802,86253071,86385313,86854007,87033868,87360798,87926250,87932447,87999025,88325282,88551527,88557338,88629660,88635647,89055167,89252642,89528447,89639471,90319369,90852287,90869978,90979677,91262207,91349696,91425671,91452887,91527945,91673548,91697471,91791002,91941407,92403112,92508071,92642471,92883887,93011697,93151367,93710471,93788000,93949007,94309257,94538304,94634471,95224322,95307190,95808071,95853501,95963327,95993512,96009700,96066671,96350207,96395134,96607127,96637870,96965471,97312588,97629808,97753367,97980671,98633687,98858471,98920977,99627767,99701807,99849671,99972671,...,9924232419647522461962356171228443228656941476249093316509778665179078013295347226552544058449379018130546774843432018478573152262401892879991237179459220018392825040610142954757876542924856795745489701426880495963773730428623774732227821048476008599835017958099821531640637557598749598333600884664032327944666516116997927461021734179494760803933134335821213230469534103528100922954874417144156463708237966838095205302731174483846649880594961223028746895522870211643219820674719966482762820496688122744363314177983126285363699000248881040525232254775453551252458321766303743860433632015867128757021555478734188278542531945277286704886821593790229139679978925445293781119051619925582820112415669130164274043749384963270284397976129090554676934163045025257500413580086068050359792429408981550286970772292606301497294676022766790515821302984751377896609215371546362496387818816388058433528547675836856343279479334570244663894183475996116590042545654024572457083424740151766548165781082101224528305311301517923865759943850799381037135964491745958601795146153488375513184847684034148741906334104537014046076886219289453490374440622456196527463380368348058947907624896512974952761522437208412692317174202991613654946719358987103257234040713767027799140101532165217141158941094648890717527040488687097442695164067941504542666798193892437890912168201474126121945495928021108940941906019816163492296840189061596409304099801213403543614580105302876231086840931289709844770565807285007262878064508572836335043321200675384237678760025918101039634582801556826432966367227588059697803270385996502739742046182888410306593930915181308330189151413570978802178795330433961043897795370689406235042368342495608744018930658419432877890862162278020081150460632457811210871134250081827400479567072868432515014239630247374042738060385938189007659701700670869847323809459238845019427662937476636805411363880915677721582578462805819560052048083831841635676862950346290366432969762287067586449662244043631724252234885871846178910930092449651795863171305100980030060192785048252778628410879067915407708634185257718407217303912561121751427590585807563300465792357670940237754776488163641087896739491728635396692210461601462136254814682662947686887500034635755939052184288495960478798024587330458534919253838076180367085853149318118108078649642167030722955817393598582374284336652565602390378499973566256796932938935151426515271266766705935974467080528331744809366308601440902995814294632051734967577198679842534584708850377434279030032721833134611708075836293697788921961775588698337640459570688670184628518128311948125287098767469536081699417307049557193396618139681204756497484608077137329262500645048482468710196480285668576463063799441268483217068369910529731874445665824945200682976434446760590857177599519020887372293691869521543084485666060252263337685636000645299556956870140406342810385842755274461813567658647106153783407473351080540939077972220180007298238803259696201572038620158089269217388591908095927063277921997267125782843112012229170320252377445503862038978236418422806967476316462169042296133531775897039695461335127763233459914990366766467179471490082969524599537409522849008594932798819276484623129690696987720404928401167587249519678655186438280106316863559296266691864868983916727675175342411785856723675910944055580657981740324339842884456797733411331408546471652341827754875872690518858363410107158875513990578021755363283056097731808687330576595014890123126663412851259954418035174504733619967595902205547447287275169874377130781082790063142050408265453000296598992708631259342887797266164797314801006629880714891147028484218267474821032547494681244495940176905585507622334321954272731948422986452603968455593741157474288582206627932481}
23473 113303151821122801711832417764795810607650372538043768686548209681700343962817: {23473,774147,1149491,1617843,1642130,1970556,2345900,2815080,3002752,3118451,3166965,3378096,3723303,3800358,3962543,4334735,4454930,4983987,5201682,5345916,5580386,6705842,7080807,7918023,7971980,7989971,8833487,9172227,9566376,9589863,10239347,10424487,10762173,10974131,11334935,11348348,12091143,12507267,13090103,13338867,13601922,14948978,15408386,15677330,15867551,16462151,17069416,17821391,18299135,18323042,18555407,18723207,18812796,19203093,19548327,20338108,20748371,21607347,21958962,22011980,22152482,22667930,22697171,22860825,23152655,24384880,24480903,24962522,25459130,26414376,26526963,26935527,27040247,27081285,27201516,27432990,27783186,27988535,28207823,28886704,29054440,29261856,29458586,29640530,29716173,29789427,30550956,30602883,31009287,31190867,31275023,31401458,31431935,32033231,32087951,32227203,32239625,32424530,32497542,32686245,32919588,33392642,33586242,33834364,34865328,34988786,35061447,35568636,35894066,36856067,37718322,38051944,38522783,38687550,38689923,38719571,38858771,38909436,38975735,39092007,39223494,40211605,40296890,40698183,41099187,41266720,41752991,42141047,42244268,42300903,42465107,42716723,42792722,42808437,43046951,43679951,44698503,44741186,44963471,45097347,45153407,45760418,45795935,45839930,46425060,46690563,46770882,47125586,47155655,47527823,47883207,48253926,48356268,49073907,49366343,49400087,49476407,49520064,49768691,49983980,50548655,50569103,50658483,50962425,51439571,51844647,52580135,52634343,52884047,52926962,53965571,54075866,54359920,54468386,54775487,54955122,55007916,55512530,55710072,56046952,56177283,56288051,56388136,56410802,56474831,56586786,57445150,57776927,57931751,58138023,58357106,58450871,59292227,59341331,59480258,59647130,59980776,60545704,60658386,60743804,61023890,61132460,61154910,61249811,61296887,61335482,62399930,62476556,62673831,62688935,62821767,63052821,63096162,63436653,63915980,64233530,64544903,65192402,65231904,65952962,66012191,66615036,67478373,67896890,68113917,68272511,68934180,69383135,69494951,70354583,70761971,71098130,71315618,71327847,71576556,72132227,72342431,73228668,73317623,73358952,73385892,73529792,73705826,74012403,74521427,74525267,74552723,74879916,75226722,75377135,75519825,75730967,76413458,76699176,77031386,77080236,77521223,77811980,77829123,78694535,78842207,79310543,79349763,79451762,79729383,79930984,80554480,80586860,80678330,80852723,81476268,81624243,81694847,82064500,82528821,82663535,82721016,83069402,83259762,83543042,83763671,83994323,84111023,84219971,84329996,84773330,84922946,85021383,85302335,85317756,85426082,85578482,86286573,87277655,87499730,88243103,88920645,88922063,89922357,90108616,90271047,90422711,90452562,90623790,91513004,92696978,93061143,93374376,93838655,94077791,94303130,94433442,94665971,94737063,94848688,95107827,95372303,96241778,96665376,96704232,96813996,96868847,97127891,97321943,97776338,98062223,98434983,98477400,98558908,98944346,99196242,...,13232309892863363282616474894971257638209255301665457755346371553572104017727129635403392077932505357507395699791242691304764203016535857173321649572612293357857100054146857273010502057233142394327319601902507327951698307238165032976303761397968011466446690610799762042187516743464999464444801179552043103926222021489330569948028978905993014405244179114428284307292712138037467897273165889525541951610983955784126940403641565978462199840793281630704995860697160282190959760899626621977017093995584163659151085570644168380484932000331841387366976339700604735003277762355071658480578176021156171676028740638312251038056709260369715606515762125053638852906638567260391708158735493234110426816554225506885698724999179951027045863968172120739569245550726700343333884773448090733813056572545308733715961029723475068663059568030355720687761737313001837195478953828728483328517091755184077911371396901115808457705972446093659551858911301328155453390060872032763276111232986869022064221041442801632704407081735357231821013258467732508049514619322327944802393528204651167350913130245378864989208445472716018728102514959052604653832587496608262036617840491130745263876833195350633270348696582944550256422898937322151539928959145316137676312054285022703732186802042886956188211921459531854290036053984916129923593552090588672723555730925189917187882890935298834829260661237361478587922541359754884656395786918748795212405466401617871391486106807070501641449121241719613126360754409713343017170752678097115113391094934233845650238346701224134719512777068742435243955156303450746263737693847995336986322728243851213742125241220241744440252201884761305069571727107245281391863727160919208313389824456660811658691907544559243837187816216370693441533947509943748281161512333442436533972756097157910020018986173663165390317413847917585343546268934227826463098412612318460025903550583302182407215151841220903628776771283741092746736064111775788847569150600461720488577293016382756781932882992058175632336313181162461571881240123266202394484228406801306706746923713397670371504547838757220543611512247010291209623071883414829001903454114410084400621056476894586983673035317551521450528985988971513862256280615468616181673086243550596915850000046181007918736245717994613971730699449773944713225671784101573822781137532424157477438199522889374297274423191464776499045782203420803187171333298088342395910585246868568687028355688941247965956107371108993079155078135254537327752392842735646623436264906456712779611800503245705373376962444179482277434448391597051895949034118264450187279427584893579504690837749264167049465023292714775599223076066076257862157519574939675329979477436183105683334193397976624946928640380891435284085065921691310956091159880706309165927554433260267577301912595680787809570132692027849829724922492695390779314221413669684450247514667527066075942493520541790413847790340365949084756878196141538377876631134774054585437296293573343064318404346261602096051493544119025623184789210794569417703895996356167710457482682972227093669836594005149385304315224563742623301755282892056394844709034529386260615113503684311279886653822355289572628653443959366132716546030465344793243731759035312830839587595983627206571201556782999359571540248584373475089151412395022255819825311888970233567123215714475631567881258740774210642320432453123845942396977881775211395295536455770339834496920691811151213476211834018654104029007151044074796975744916440768793353186830835551217135013272557380232672978159956794536274063263049700226499169507708110386750856067211020604000395465323611508345790517063021553063086401342173174286521529371312291023299761376729992908325994586902540780676829779095939030309264563981936805291274124988209965718109608837243308}
23474 113705631607976487773461599854916804082102998290750818259686880753766481710426: {609934,1007533,1032196,1921342,2157124,2407213,2463195,2627408,2932375,2955834,3416254,3518850,3753440,3799693,4216033,4222620,4504128,4720942,4814014,4964404,5067144,5184973,5700537,6288013,6425569,6486574,6645316,6682395,6935576,7042942,7112269,7127888,7660333,7802523,8018874,8338894,8370579,8431342,8985694,9441076,9705313,9964975,9976753,10058763,10518769,10557364,10654093,11957970,12207934,12229636,12483214,12574942,12755168,12786484,13124974,13899316,14013793,14185435,14349564,14497534,14935739,15743053,16121524,16669153,16676356,17022522,17196769,17231854,17785156,18135896,18502942,18641773,18865534,19295713,19318414,19861342,19951774,20402883,20403694,20468269,21216142,21336770,22027294,22280653,22423467,22924513,22927054,23112579,23181553,23376334,23515995,24462433,24964276,25083728,25275866,25422635,25604124,26064436,26116813,26152942,26749873,27484563,27490942,27514975,28025134,28219194,28292014,28809796,28888813,29264113,29278616,29389069,30156142,30481100,30507162,30510433,31378573,31873069,32366413,32612653,32641204,32938443,33017970,33228723,33295451,33335374,33594733,34001895,34126942,35092654,35219168,35369284,35914036,36108380,36150769,36268688,36318050,36577320,37044248,37192942,37443783,37476973,37542094,37957069,38188695,38588014,38849134,39015808,39033073,39621564,39719236,40221793,40458673,40734608,40802274,40803844,41149485,41345716,41674779,41884894,41991373,42292955,42403342,42694669,42811633,42969604,43330056,43581660,43696942,43892784,44187879,44460795,44557342,44557453,44781656,45759214,45826434,46057393,46273342,46487104,46615774,46748596,47102187,47424848,47564930,47641534,48341233,48454669,48636795,48746313,48835342,48907693,49041083,49339619,49346014,49379382,50088963,50195854,50291096,50379363,50450494,50751546,51583400,51586564,51879248,51935473,52122676,52297992,52483179,52651342,52805335,52977491,53157694,53352954,53494942,53841099,54000334,54264244,54582769,54798916,56401204,56577483,56649133,56769694,56936974,57077916,57296269,57688942,58031325,58364154,58439614,58475953,58835241,59598004,60129796,60186142,60445335,60598513,61015342,61760254,61900080,62173534,62254084,62361176,62479975,62588269,63163774,63366402,63521713,63662027,63844276,64189083,64233934,64338568,64475024,64654669,65137342,65431876,66026752,66366142,66591073,66793393,67096333,67111779,67317263,67544644,67599793,67672894,67800673,67949900,68640627,68759895,69126196,69138094,69298093,69637590,69939611,70030942,70058690,70090093,70156323,70179124,70355134,70485170,70517134,70681069,70688379,70840942,71269453,71660269,71757793,72049933,72380889,72534402,72729073,72778414,73115569,73273496,73343888,73984654,74280096,74650033,74866942,74903044,74975970,75347374,75449048,75682130,75929755,75977569,76386334,76415575,76823533,77010733,77384269,77517364,77581774,77942413,78095695,78313069,78456142,78682573,78774769,78845039,78932254,79326433,79390443,79894975,79974368,80436142,80830942,80877848,80909854,80965873,81113799,81539880,81597133,81702579,81866593,82432683,82484734,82511874,82992602,83268795,83565108,83762356,83896654,83974942,84070428,84128216,84262573,84582204,84616203,84835054,84880179,85069294,86167725,86262193,86975872,87403774,87535659,87946414,88820048,89029342,89220387,89338174,89399053,89470695,89815393,89971164,90818556,90955342,90987579,91115706,91462753,91535835,91698690,91707373,91732365,91788769,91799614,91912240,92003223,92275633,92679373,93401569,93599895,93711214,93714834,93800269,94089506,94592269,94644243,94801826,95103796,95435408,95536942,95873970,96350295,96548291,96673342,96925069,97126894,97264975,97638224,97730734,97764193,97788603,97811936,97847856,97991533,98634574,98683204,98894413,98929443,99310942,99638893,99839888,99913730,99922554,...,19848464839295044923924712342456886457313882952498186633019557330358156026590694453105088116898758036261093549686864036957146304524803785759982474358918440036785650081220285909515753085849713591490979402853760991927547460857247549464455642096952017199670035916199643063281275115197499196667201769328064655889333032233995854922043468358989521607866268671642426460939068207056201845909748834288312927416475933676190410605462348967693299761189922446057493791045740423286439641349439932965525640993376245488726628355966252570727398000497762081050464509550907102504916643532607487720867264031734257514043110957468376557085063890554573409773643187580458279359957850890587562238103239851165640224831338260328548087498769926540568795952258181109353868326090050515000827160172136100719584858817963100573941544585212602994589352045533581031642605969502755793218430743092724992775637632776116867057095351673712686558958669140489327788366951992233180085091308049144914166849480303533096331562164202449056610622603035847731519887701598762074271928983491917203590292306976751026369695368068297483812668209074028092153772438578906980748881244912393054926760736696117895815249793025949905523044874416825384634348405983227309893438717974206514468081427534055598280203064330434282317882189297781435054080977374194885390328135883009085333596387784875781824336402948252243890991856042217881883812039632326984593680378123192818608199602426807087229160210605752462173681862579419689541131614570014525756129017145672670086642401350768475357520051836202079269165603113652865932734455176119395606540771993005479484092365776820613187861830362616660378302827141957604357590660867922087795590741378812470084736684991217488037861316838865755781724324556040162300921264915622421742268500163654800959134145736865030028479260494748085476120771876378015319403401341739694647618918477690038855325874953273610822727761831355443165156925611639120104096167663683271353725900692580732865939524574135172899324488087263448504469771743692357821860184899303591726342610201960060120385570096505557256821758135830815417268370515436814434607825122243502855181171615126600931584715341880475509552976327282175793478983457270793384420923202924272509629365325895373775000069271511878104368576991920957596049174660917069838507676152360734171706298636236216157299284334061445911634787197164748568673305131204780756999947132513593865877870302853030542533533411871948934161056663489618732617202881805991628589264103469935154397359685069169417700754868558060065443666269223416151672587395577843923551177396675280919141377340369257036256623896250574197534939072163398834614099114386793236279362409512994969216154274658525001290096964937420392960571337152926127598882536966434136739821059463748891331649890401365952868893521181714355199038041774744587383739043086168971332120504526675371272001290599113913740280812685620771685510548923627135317294212307566814946702161081878155944440360014596477606519392403144077240316178538434777183816191854126555843994534251565686224024458340640504754891007724077956472836845613934952632924338084592267063551794079390922670255526466919829980733532934358942980165939049199074819045698017189865597638552969246259381393975440809856802335174499039357310372876560212633727118592533383729737967833455350350684823571713447351821888111161315963480648679685768913595466822662817092943304683655509751745381037716726820214317751027981156043510726566112195463617374661153190029780246253326825702519908836070349009467239935191804411094894574550339748754261562165580126284100816530906000593197985417262518685775594532329594629602013259761429782294056968436534949642065094989362488991880353811171015244668643908545463896845972905207936911187482314948577164413255864962}
23475 114109531764018253155780295994598426671552060788799606591245874835016817977281: {46946,914901,1290245,1548294,2298982,2696405,2882013,3235686,3284260,3941112,4384589,4433751,4691800,5124381,5278275,5630160,6005504,6068629,6205505,6236902,6333930,6756192,7081413,7221021,7446606,7600716,7925086,8306645,8669470,8909860,9442693,9729861,9967974,10403364,10564413,10691832,11160772,11801345,12028311,12106589,12508341,12647013,13196705,13411684,13478541,14161614,15287045,15836046,15868909,15943960,15979942,15983105,16321649,17374145,17666974,17936955,18311901,18344454,18724821,18862413,19132752,19179726,19687461,19693697,20151905,20478694,20845445,20848974,21524346,21746301,21948262,22231445,22669870,22696696,23469197,24182286,25014534,25533783,25618789,25847781,26180206,26677734,27203844,27491189,27754413,28298301,28523381,28977621,29792013,29897956,29927661,30605541,30816772,31205345,31354660,31735102,31824213,31892837,32005155,32413717,32580545,32924302,33040941,33622853,34138832,34390581,35064501,35153789,35357297,35642782,36012245,36598270,36646084,37110814,37446414,37625592,37913799,38101375,38406186,39096654,39183949,39229413,40103969,40676216,40801505,41236413,41496742,42037701,42328791,42438021,42796589,43214694,43917924,44004709,44023960,44211605,44304964,44322773,44611421,44892545,45135475,45234213,45335860,45394342,45721650,45759493,45760743,46305310,48769760,48961806,49526955,49649045,49925044,50003061,50918260,51004805,51190413,51682145,51949229,52638981,52828752,52888573,53053926,53712005,53871054,54080494,54162570,54314609,54403032,54477075,54566029,54865980,55566372,55789413,55977070,56296247,56313141,56415646,57773408,57882021,57936709,58108880,58273701,58381921,58435745,58523712,58917172,59281060,59432346,59578854,60284417,60658061,61101912,61203411,61205766,61302133,62018574,62381734,62550046,62802916,62827341,62863870,63605013,63777493,64066462,64114309,64175902,64454406,64479250,64483205,64802237,64849060,64995084,65153345,65372490,65545413,65643521,65839176,66017917,66123149,66785284,66836013,67120493,67172484,67668728,67830305,68498645,68638821,68739651,69410013,69730656,69923661,69977572,70122894,70266173,70501505,70768117,70837997,71137272,71347395,71462301,71788132,72138421,72420917,73253013,73612189,73712134,74019021,74069073,74497505,75162245,75293781,75436644,75675741,76103888,76127319,76462241,77045566,77375100,77379846,77439142,77717542,77817605,77818872,77942309,77951470,78184014,78446988,78977013,79736541,79805345,80029431,80242413,80423210,80593780,81000501,81305717,81396366,81789845,82198374,82533440,83505982,84282094,84430805,84488536,84601806,84930214,84937375,85154541,85405461,85433446,85585444,85616874,86093902,86407745,86533413,87359902,87546231,87659421,87723905,87764509,88237589,89397006,89482372,89926942,90194694,90279213,90306814,91520836,91523013,91591870,91679860,92627141,92640381,92850120,93260301,93381126,93541764,93628805,94251172,94311310,94745661,95049603,95055646,95766414,96350901,96507852,96621953,96712536,96896705,97136389,97240253,97627037,97706013,98147814,98732686,98800174,98952814,99040128,99532693,99537382,99549213,99967960,...,29772697258942567385887068513685329685970824428747279949529335995537234039886041679657632175348137054391640324530296055435719456787205678639973711538377660055178475121830428864273629628774570387236469104280641487891321191285871324196683463145428025799505053874299464594921912672796248795000802653992096983833999548350993782383065202538484282411799403007463639691408602310584302768864623251432469391124713900514285615908193523451539949641784883669086240686568610634929659462024159899448288461490064368233089942533949378856091097000746643121575696764326360653757374965298911231581300896047601386271064666436202564835627595835831860114660464781370687419039936776335881343357154859776748460337247007390492822131248154889810853193928387271664030802489135075772501240740258204151079377288226944650860912316877818904491884028068300371547463908954254133689827646114639087489163456449164175300585643027510569029838438003710733991682550427988349770127636962073717371250274220455299644497343246303673584915933904553771597279831552398143111407893475237875805385438460465126539554543052102446225719002313611042138230658657868360471123321867368589582390141105044176843722874689538924858284567311625238076951522608974840964840158076961309771702122141301083397420304596495651423476823283946672152581121466061292328085492203824513628000394581677313672736504604422378365836487784063326822825718059448490476890520567184789227912299403640210630843740315908628693260522793869129534311697421855021788634193525718509005129963602026152713036280077754303118903748404670479298899101682764179093409811157989508219226138548665230919781792745543924990567454240712936406536385991301883131693386112068218705127105027486826232056791975258298633672586486834060243451381897373433632613402750245482201438701218605297545042718890742122128214181157814567022979105102012609541971428377716535058282988812429910416234091642747033164747735388417458680156144251495524907030588851038871099298909286861202759348986732130895172756704657615538536732790277348955387589513915302940090180578355144758335885232637203746223125902555773155221651911737683365254282771757422689901397377073012820713264329464490923263690218475185906190076631384804386408764444047988843060662500103907267817156552865487881436394073761991375604757761514228541101257559447954354324235948926501092168867452180795747122853009957696807171135499920698770390798816805454279545813800300117807923401241584995234428098925804322708987442883896155204902731596039527603754126551132302837090098165499403835124227508881093366765885326766095012921378712066010553885554384935844375861296302408608245098251921148671580189854419043614269492453824231411987787501935145447406130589440857005729389191398323805449651205109731589195623336997474835602048929303340281772571532798557062662116881075608564629253456998180756790013056908001935898670870610421219028431157528265823385440702975941318461350222420053241622817233916660540021894716409779088604716115860474267807652165775724287781189833765991801377348529336036687510960757132336511586116934709255268420902428949386507126888400595327691119086384005383289700379744971100299401538414470248908573798612228568547025784798396457829453869389072090963161214785203502761748559035965559314840318950590677888800075594606951750183025526027235357570171027732832166741973945220973019528653370393200233994225639414957025483264627618071556575090230321476626541971734065266089849168293195426061991729785044670369379990238553779863254105523514200859902787706616642341861825509623131392343248370189426151224796359000889796978125893778028663391798494391944403019889642144673441085452654802424463097642484043733487820530716756522867002965862818195845268959357811905366781223472422865746619883797443}
23476 114514857269036833029076525256010055718302808025984377667204336810208686101544: {70419,398803,679963,1219868,1381603,2015066,2064392,2322441,2500483,3197443,3448473,3475723,3842684,4105325,4170163,4314248,4585963,4814426,4853529,4926390,5254816,5864750,5911668,6832508,7037700,7341403,7506880,7599386,8299003,8432066,8445240,8980843,9008256,9355353,9441884,9500895,9628028,9660883,9928808,10134288,10339123,10369946,11137325,11169909,11401074,11555419,11887629,12576026,12851138,12973148,13004205,13034083,13290632,13364790,13703323,13871152,13950965,14085884,14104003,14224538,14255776,14951961,15036403,15320666,15605046,16037748,16677788,16741158,16764605,16862684,17971388,18075163,18882152,18992443,19384483,19410626,19515019,19859609,19929950,19953506,20117526,21037538,21114728,21242421,21308186,23754069,23915940,23969913,24415868,24459272,24805003,24966428,25149884,25510336,25572968,26249948,26500461,26583619,27089203,27341563,27516681,27798632,28027586,28370870,28473619,28699128,28769589,28995068,29225083,29871478,30223003,30718041,31092403,31273461,31486106,31711243,32243048,32286519,32922393,32943523,33338306,33352712,34004805,34045044,34393538,34463708,34656619,35265019,35570312,35591689,35750443,36271792,36273429,37005884,37199803,37283546,37372445,37521801,37731068,38520965,38591426,38636828,39193325,39270309,39722684,39903548,40016601,40541323,40777843,40805766,40807388,40936538,41132083,41250019,42425419,42432284,42673540,44054588,44291083,44561306,44846934,44870323,45447763,45807605,45849026,45854108,45908419,46225158,46363106,46752668,46940683,47031990,47602653,48648163,48924866,49326619,49386453,49928552,50167456,50551732,50845270,50899603,51208248,51680803,52128872,52233626,52305884,53464173,53499746,53893363,54897405,54969126,54981884,55029950,55381205,55666221,55860043,56050268,56169621,56438388,56584028,56618563,56669825,57609279,57619592,57777626,58528226,58552843,58557232,58644981,58778138,59210137,60146923,60312284,60885283,60962200,61014324,61020866,61410523,62245113,62406305,62757146,62871619,63493483,63647825,63746138,64732826,64822041,65208473,65225306,65282408,65853283,65876886,66035940,66457446,66563923,66590902,66670748,67069363,67189466,67371763,67573003,68003790,68091513,68253884,68475019,68582475,69457965,70185308,70360123,70438336,70557043,70738568,70851883,71828072,71927419,72216760,72301538,72537376,72636100,73154640,73442709,73646465,73927469,74088496,74101325,74243803,74385884,74434963,74487149,74887566,74953946,75084188,75236941,75914138,76377390,76612603,76706419,77176028,77698268,78012283,78031616,78066146,78105019,78197683,78503645,78659923,79028419,79243128,79438472,79580889,80309083,80443586,80806581,80917346,81061325,81120741,81215203,81243855,81469216,81604548,81607688,82298970,82691432,83005843,83349558,83481605,83769788,83890363,83965605,83982746,84585910,84623469,84806684,84855019,85389338,85623266,85637803,85939208,86660112,87163320,87356443,87393884,87471965,87785568,87866419,87951163,88289419,88375758,88710619,88921590,89114684,89114906,89148519,89368281,89563312,89735165,90871843,91518428,91527043,91652868,91808649,92015419,92114786,92546684,92974208,93027861,93231548,93497192,93572601,93825069,94204374,94295805,94339363,94849696,94891243,95129860,95283068,96099693,96263853,96681609,96682466,96718875,96756619,96909338,97273590,97445443,97492626,97597723,97670684,97815386,97825603,98058735,98082166,98679238,98692028,98758764,99104683,99773419,...,39696929678590089847849424684913772914627765904996373266039114660716312053181388906210176233797516072522187099373728073914292609049607571519964948717836880073571300162440571819031506171699427182981958805707521983855094921714495098928911284193904034399340071832399286126562550230394998393334403538656129311778666064467991709844086936717979043215732537343284852921878136414112403691819497668576625854832951867352380821210924697935386599522379844892114987582091480846572879282698879865931051281986752490977453256711932505141454796000995524162100929019101814205009833287065214975441734528063468515028086221914936753114170127781109146819547286375160916558719915701781175124476206479702331280449662676520657096174997539853081137591904516362218707736652180101030001654320344272201439169717635926201147883089170425205989178704091067162063285211939005511586436861486185449985551275265552233734114190703347425373117917338280978655576733903984466360170182616098289828333698960607066192663124328404898113221245206071695463039775403197524148543857966983834407180584613953502052739390736136594967625336418148056184307544877157813961497762489824786109853521473392235791630499586051899811046089748833650769268696811966454619786877435948413028936162855068111196560406128660868564635764378595562870108161954748389770780656271766018170667192775569751563648672805896504487781983712084435763767624079264653969187360756246385637216399204853614174458320421211504924347363725158839379082263229140029051512258034291345340173284802701536950715040103672404158538331206227305731865468910352238791213081543986010958968184731553641226375723660725233320756605654283915208715181321735844175591181482757624940169473369982434976075722633677731511563448649112080324601842529831244843484537000327309601918268291473730060056958520989496170952241543752756030638806802683479389295237836955380077710651749906547221645455523662710886330313851223278240208192335327366542707451801385161465731879049148270345798648976174526897008939543487384715643720369798607183452685220403920120240771140193011114513643516271661630834536741030873628869215650244487005710362343230253201863169430683760951019105952654564351586957966914541586768841846405848545019258730651790747550000138543023756208737153983841915192098349321834139677015352304721468343412597272472432314598568668122891823269574394329497137346610262409561513999894265027187731755740605706061085067066823743897868322113326979237465234405763611983257178528206939870308794719370138338835401509737116120130887332538446832303345174791155687847102354793350561838282754680738514072513247792501148395069878144326797669228198228773586472558724819025989938432308549317050002580193929874840785921142674305852255197765073932868273479642118927497782663299780802731905737787042363428710398076083549489174767478086172337942664241009053350742544002581198227827480561625371241543371021097847254270634588424615133629893404322163756311888880720029192955213038784806288154480632357076869554367632383708253111687989068503131372448048916681281009509782015448155912945673691227869905265848676169184534127103588158781845340511052933839659961467065868717885960331878098398149638091396034379731195277105938492518762787950881619713604670348998078714620745753120425267454237185066767459475935666910700701369647143426894703643776222322631926961297359371537827190933645325634185886609367311019503490762075433453640428635502055962312087021453132224390927234749322306380059560492506653651405039817672140698018934479870383608822189789149100679497508523124331160252568201633061812001186395970834525037371551189064659189259204026519522859564588113936873069899284130189978724977983760707622342030489337287817090927793691945810415873822374964629897154328826511729924}
23477 114921613120165815623862245441834064864100513368184343116943652375084989692859: {93892,1524835,1806343,1829802,2580490,3022599,3096588,3774967,4597964,4803355,4900423,5181787,5392810,5764026,6471372,6568520,7221639,7389585,7882224,8540635,8687707,8769178,8797125,8867502,9383600,10248762,10556550,11260320,11399079,11551483,11629303,11802355,12011008,12035035,12137258,12394999,12411010,12473804,12648099,12667860,13512384,14162826,14307787,14442042,14893212,15201432,15554919,15850172,16216435,16521883,16613290,17101611,17117827,17245063,17338940,17607355,17819720,18241843,18475387,18864039,18885386,19276707,19459722,19927867,19935948,20047185,20806728,20847235,21051883,21078355,21128826,21336807,21383664,21401863,22321544,22376347,22464235,22980999,23407569,23602690,24056622,24213178,24264763,24323803,24934723,25016682,25111737,25294026,26230279,26393410,26823368,26957082,28005043,28212667,28323228,29115939,29183623,29894925,29930259,30176289,30519835,30574090,31124023,31208035,31437355,31556307,31672092,31737818,31887920,31959884,31962279,31966210,32489587,32604583,32643298,32812435,34092343,34748290,35333948,35360323,35496283,35666983,35873910,36243835,36623802,36688908,37449642,37724826,38265504,38359452,39374922,39387394,39516979,39736099,40303810,40898107,40957388,41545387,41690890,41697948,42041379,42556305,43048692,43079635,43492602,43687483,43896524,44326579,44462890,44615239,44807217,44822083,45339740,45393392,45612763,46257355,46938394,47163835,47229159,48296035,48364572,49653355,49879435,50007459,50029068,50375947,50417143,50423923,50577787,51009235,51067566,51237578,51590307,51695562,52109467,52360412,52381459,53040355,53341925,53355468,53538379,54407688,54982378,55068235,55107523,55508826,55925319,56596602,57046762,57122107,57317635,57887139,57955242,58060903,58440835,59046763,59584026,59795912,59855322,60704563,61063783,61208649,61211082,61390363,61404807,61633544,61896247,62410690,62709320,62849563,63189665,63470204,63648426,63785674,64010310,64194643,64441963,64555987,64807783,64827434,65161090,65382355,65611843,65649139,65848604,66081882,66128827,66841959,66998923,67126279,67245706,67270401,68138167,68277664,68639923,68727355,68773539,68781162,69337737,69508663,69544659,70062835,70129002,70307578,70547985,70656883,70714594,70730035,71285564,71406727,71629483,71729347,72024490,72355003,73196540,73292168,73387299,73774579,73902343,74221628,74686579,74892828,75196807,75251184,75390355,75554443,75653323,75827598,76202750,76267905,76812372,77415463,78193308,78207943,78350439,78367898,78458826,79171879,79324219,80137867,80207938,80249619,81352432,81603010,81735499,81810043,82453689,82472826,82544925,82940707,82993484,83338435,84061843,84075402,84125467,84657582,84876042,85317355,85593178,85891243,86429388,86666439,87217843,87317959,87731635,87792339,87835848,88009418,88047920,88167207,88423210,88609928,88645546,88746163,89222842,89785090,90270950,90276487,90468426,90671720,90788684,90795125,91214683,91443300,91518986,91521486,91531299,92002147,92375347,92610620,92614603,92819203,92982355,93250663,93855235,94135719,94962427,95619207,95898103,96249703,96470035,97099239,97122835,97530187,97539520,97837959,97923612,98535259,98702107,98815329,99032803,99053910,99298090,99686169,99850088,99886353,...,59545394517885134771774137027370659371941648857494559899058671991074468079772083359315264350696274108783280649060592110871438913574411357279947423076755320110356950243660857728547259257549140774472938208561282975782642382571742648393366926290856051599010107748598929189843825345592497590001605307984193967667999096701987564766130405076968564823598806014927279382817204621168605537729246502864938782249427801028571231816387046903079899283569767338172481373137221269859318924048319798896576922980128736466179885067898757712182194001493286243151393528652721307514749930597822463162601792095202772542129332872405129671255191671663720229320929562741374838079873552671762686714309719553496920674494014780985644262496309779621706387856774543328061604978270151545002481480516408302158754576453889301721824633755637808983768056136600743094927817908508267379655292229278174978326912898328350601171286055021138059676876007421467983365100855976699540255273924147434742500548440910599288994686492607347169831867809107543194559663104796286222815786950475751610770876920930253079109086104204892451438004627222084276461317315736720942246643734737179164780282210088353687445749379077849716569134623250476153903045217949681929680316153922619543404244282602166794840609192991302846953646567893344305162242932122584656170984407649027256000789163354627345473009208844756731672975568126653645651436118896980953781041134369578455824598807280421261687480631817257386521045587738259068623394843710043577268387051437018010259927204052305426072560155508606237807496809340958597798203365528358186819622315979016438452277097330461839563585491087849981134908481425872813072771982603766263386772224136437410254210054973652464113583950516597267345172973668120486902763794746867265226805500490964402877402437210595090085437781484244256428362315629134045958210204025219083942856755433070116565977624859820832468183285494066329495470776834917360312288502991049814061177702077742198597818573722405518697973464261790345513409315231077073465580554697910775179027830605880180361156710289516671770465274407492446251805111546310443303823475366730508565543514845379802794754146025641426528658928981846527380436950371812380153262769608772817528888095977686121325000207814535634313105730975762872788147523982751209515523028457082202515118895908708648471897853002184337734904361591494245706019915393614342270999841397540781597633610908559091627600600235615846802483169990468856197851608645417974885767792310409805463192079055207508253102264605674180196330998807670248455017762186733531770653532190025842757424132021107771108769871688751722592604817216490196503842297343160379708838087228538984907648462823975575003870290894812261178881714011458778382796647610899302410219463178391246673994949671204097858606680563545143065597114125324233762151217129258506913996361513580026113816003871797341741220842438056862315056531646770881405951882636922700444840106483245634467833321080043789432819558177209432231720948535615304331551448575562379667531983602754697058672073375021921514264673023172233869418510536841804857898773014253776801190655382238172768010766579400759489942200598803076828940497817147597224457137094051569596792915658907738778144181926322429570407005523497118071931118629680637901181355777600151189213903500366051052054470715140342055465664333483947890441946039057306740786400467988451278829914050966529255236143113150180460642953253083943468130532179698336586390852123983459570089340738759980477107559726508211047028401719805575413233284683723651019246262784686496740378852302449592718001779593956251787556057326783596988783888806039779284289346882170905309604848926195284968087466975641061433513045734005931725636391690537918715623810733562446944845731493239767594886}
23478 115329804331943659742740480749926051080964557429260556043637209040607031190595: {117365,140838,445721,726857,797606,1101257,1359926,1428437,1848521,2439736,2500697,2547221,2744703,2763206,3244121,3522377,3661397,3870735,3892937,4030132,4128784,4216757,4632521,4644882,5000966,5277977,5747455,5829977,6243221,6394886,6426677,6518357,6896946,6951446,7204937,7685368,8026457,8089215,8210650,8340326,8628496,8646039,8754521,9163157,9171926,9628852,9661721,9706997,9707058,9852780,10114121,10340021,10509632,10520597,10610837,10746137,11729500,11823336,12408917,12766997,13079897,13153767,13213877,13301253,13665016,13749077,13882697,14075400,14105237,14149721,14682806,15013760,15082037,15198772,15373143,15592255,15745817,15834825,15966677,16143221,16539977,16598006,16804121,16864132,16890480,17067977,17199797,17287637,17463221,17857817,17961686,18016512,18205887,18339221,18616515,18710706,18732377,18883768,18994121,19001790,19256056,19321766,19386197,19429721,19531351,19812715,19857616,20268576,20471897,20558537,20678246,20739892,20948021,21120917,21244239,21336857,21663063,21673675,21768137,21983477,22274650,22339818,22413557,22671221,22802148,23110838,23142857,23470447,23775258,23955221,24339017,24551957,24807221,24919935,25152052,25232021,25702276,25946296,26008410,26068166,26121497,26459417,26581264,26729580,26754677,27386057,27406646,27742304,27764021,27901930,28171768,28208006,28328079,28449076,28511552,28601621,28977497,29189583,29227721,29269397,29903922,30072806,30225737,30641332,30888521,31210092,31466777,31693239,31714121,31878857,31961177,32075496,32577557,32700617,33355576,33482316,33529210,33725368,33968021,34334537,34943957,35146697,35389721,35404035,35551577,35753717,35942776,36084933,36150326,36157397,36319767,37443797,37525023,37764304,37844117,37941039,37984886,38562677,38768966,38821252,39030038,39590115,39635657,39719218,39859900,39907012,39949855,40229237,40235052,40347737,40435623,40545077,40584521,40781621,41017877,41960021,42075076,42229456,42484842,42546521,42616372,42702617,42897557,43170137,44167435,44527157,44643017,44874521,45490457,45605717,45861135,46066037,47508138,47606727,47781977,47831880,47939826,47949315,48085337,48463817,48831736,48879221,48918544,48964947,49444121,49610006,49782197,49932856,50044697,50157077,50299768,50381621,50792537,50904437,51020672,51145936,51196735,51462857,51685721,51834137,52019477,52122435,52321423,52499896,53000922,53016857,53164121,53167238,53348021,53494997,53810865,53898521,53929351,54118217,54178406,54666197,54683126,54870655,54935703,55033362,55575497,55597264,55901621,56055172,56174463,56227097,56443721,56587239,56624021,56660057,56674675,56741740,56947238,57398256,57539178,57844757,57990136,58450166,58558517,58807577,59062383,59081091,59304521,59742956,60152777,60446006,60455715,60680597,60891221,60926297,61416521,61436082,61451477,62079317,62184806,62536335,62546922,62600537,62808521,62972212,62981621,63327221,63422486,63499721,63534197,63809717,64130647,64486096,64564757,64573038,64735817,65043221,65179637,65238903,65384021,65450515,65844786,65887046,65893721,66604277,66676612,66694335,66705424,67076021,67109657,67613237,67780697,68009610,68081621,68090088,68381897,68787076,68927416,69080021,69212597,69313238,69378137,69906521,70202837,70400021,70407591,70530038,70596917,70891721,71140624,71183378,71500886,71837237,72161717,72517721,72543584,72546858,72808277,73194677,73483721,73611977,73804121,74011768,74155637,74283221,74399606,74442521,74567092,74728757,74744890,75043602,75462136,76055957,76463897,76601349,76651721,76856367,77041930,77064559,77088857,77182852,77273656,77533687,77543343,77741621,77927477,78020297,78236597,78386650,78540618,78668021,78698777,78790997,79312217,79337755,79434521,79445368,79807096,80033202,80347721,80620277,81082646,81133337,81253721,81404021,81555686,81584117,81611532,81614776,81853721,81873076,82033097,82264166,82310755,82420757,82473567,82500038,83014517,83044121,83250343,83263239,83310197,83811017,83899157,84075221,84543317,84630857,84850838,84864568,84894903,85347080,85570143,85675721,86280437,86366537,86932863,87368827,87394121,88030267,88109176,88129817,88551797,88582166,88664021,89083721,89106955,89122612,89376039,89473817,89640521,89693868,89740646,89782983,89890037,90497237,90895526,91495675,91536917,91615210,91698052,91708216,91808597,91816623,91816838,92450316,92672597,92726212,92777035,92914121,93074777,93421877,93475157,93505336,93616035,93714521,93820697,93881366,94063980,94612937,94665497,94901621,95163221,95205306,95397977,95472639,95678511,95839637,96015465,96072521,96304757,96459221,96946457,96997577,97241151,97296326,97379957,97741635,97836437,97849732,97861721,98013257,98088917,98653238,98772906,98891477,98966297,99115721,99122823,99140597,99586997,99735221,99857104,...,89318091776827702157661205541055989057912473286241839848588007986611702119658125038972896526044411163174920973590888166307158370361617035919921134615132980165535425365491286592820888886323711161709407312841924463673963573857613972590050389436284077398515161622898393784765738018388746385002407961976290951501998645052981347149195607615452847235398209022390919074225806931752908306593869754297408173374141701542856847724580570354619848925354651007258722059705831904788978386072479698344865384470193104699269827601848136568273291002239929364727090292979081961272124895896733694743902688142804158813193999308607694506882787507495580343981394344112062257119810329007644030071464579330245381011741022171478466393744464669432559581785161814992092407467405227317503722220774612453238131864680833952582736950633456713475652084204901114642391726862762401069482938343917262467490369347492525901756929082531707089515314011132201975047651283965049310382910886221152113750822661365898933492029738911020754747801713661314791839494657194429334223680425713627416156315381395379618663629156307338677157006940833126414691975973605081413369965602105768747170423315132530531168624068616774574853701934875714230854567826924522894520474230883929315106366423903250192260913789486954270430469851840016457743364398183876984256476611473540884001183745031941018209513813267135097509463352189980468477154178345471430671561701554367683736898210920631892531220947725886079781568381607388602935092265565065365902580577155527015389890806078458139108840233262909356711245214011437896697305048292537280229433473968524657678415645995692759345378236631774971702362722138809219609157973905649395080158336204656115381315082460478696170375925774895901017759460502180730354145692120300897840208250736446604316103655815892635128156672226366384642543473443701068937315306037828625914285133149605174848966437289731248702274928241099494243206165252376040468432754486574721091766553116613297896727860583608278046960196392685518270113972846615610198370832046866162768541745908820270541735065434275007655697911611238669377707667319465664955735213050095762848315272268069704192131219038462139792988393472769791070655425557718570229894154413159226293332143966529181987500311721803451469658596463644309182221285974126814273284542685623303772678343863062972707846779503276506602356542387241368559029873090421513406499762096311172396450416362838637441400900353423770203724754985703284296777412968126962328651688465614708194788118582811262379653396908511270294496498211505372682526643280100297655980298285038764136136198031661656663154807533127583888907225824735294755763446014740569563257130842808477361472694235963362505805436342218391768322571017188167574194971416348953615329194767586870010992424506806146787910020845317714598395671187986350643226825693887760370994542270370039170724005807696012611831263657085293472584797470156322108927823955384050667260159724868451701749981620065684149229337265814148347581422803422956497327172863343569501297975404132045588008110062532882271397009534758350804127765805262707286848159521380665201785983073357259152016149869101139234913300898204615243410746725721395836685705641077354395189373488361608167216272889483644355610508285245677107896677944520956851772033666400226783820855250549076578081706072710513083198496500225921835662919058585960111179600701982676918244871076449793882854214669725270690964429879625915202195798269547504879586278185975189355134011108139970715661339589762316570542602579708363119849927025585476528869394177029745110568278453674389077002669390934377681334085990175395483175833209059668926434020323256357964407273389292927452131200463461592150269568601008897588454587535806878073435716100343670417268597239859651392329}
23479 115739435936373918587237866473354488214923554061368227051759533498975266116795: {187784,211257,1196409,2039889,2134769,3049670,3612686,3659604,4144809,5037665,5160980,5791409,6045198,6193176,6724697,6967323,7501449,7549934,9195928,9536417,9592329,9606710,9800846,10345419,10363574,10427169,10785620,11528052,11956889,12036065,12315975,12348137,12510489,12910481,12942744,13137040,13757889,14443278,14560587,14661875,14779170,15764448,16523297,16849049,17081270,17375414,17538356,17594250,17735004,18767200,18998465,19131689,20380529,20497524,21080165,21113100,22024209,22503737,22520640,22703009,22798158,23102966,23258606,23604710,24022016,24070070,24274516,24650297,24789998,24822020,24897009,24936857,24947608,25296198,25335720,25924865,26942529,27024768,27119441,28066059,28325652,28502685,28615574,28884084,28982649,29186129,29468309,29509697,29786424,30402864,31017369,31109838,31440065,31449929,31700344,32127845,32432870,33043766,33096869,33226580,33411975,33509727,34203222,34235654,34490126,34666257,34677880,35214710,35561345,35639440,35662887,36483686,36950774,37227809,37728078,37770772,38301665,38532689,38553414,38919444,39012615,39102249,39520361,39855734,39871896,40094370,40258097,41109969,41613456,41694470,41852895,42103766,42151889,42156710,42257652,42312009,42673614,42727769,42767328,42803726,43691249,44012297,44643088,44752694,44855883,44928470,45109209,45709649,45937409,45961998,46815138,47205380,48113244,48426356,48526565,48529526,48647606,49824875,49869446,49883765,50033364,50223474,50293815,50588052,50741369,50935841,52385957,52460558,52593845,52786820,53270465,53542961,53646736,53914164,54225489,56010086,56302529,56425334,56646456,56977329,57230681,58153449,58231878,58367246,58545057,59578827,59591909,59789850,59839337,59860518,60311489,60352578,61039670,61148180,61395617,61574777,61590761,62248046,62416070,62874710,63112614,63119669,63344184,63475636,63727263,63775840,63919768,63924558,63932420,64200137,64760297,64979174,65209166,65286596,65624870,65993441,66029369,67004657,67326089,67614449,68184686,69150257,69496580,69514697,69831209,70068965,70667896,70720646,70927175,70992566,71262207,71333966,71412929,71747820,71909739,72150809,72166289,72487670,73247604,73377816,73908689,74256497,74415009,74678695,74899284,75449652,76345589,76531008,76718904,77095529,77541269,78715265,78749844,78774788,78862481,79033958,79331057,79343729,79472198,79501383,79750857,80056481,80244689,80607620,81119909,81267609,81796214,81817169,81914776,82024689,82550043,83090774,83345765,83381780,83395896,83401337,83503589,84082758,84443201,85112610,85420857,85746617,85983845,86097384,86159270,86308767,86911397,86985204,87325457,87374966,87675249,87793048,88265957,88465531,88653158,88925780,88944929,89230478,89614434,89644166,90669009,90679480,90786784,91225526,91535297,91814777,92154123,92427569,92514710,93208865,93277209,93820383,93876788,93966641,94101989,94327670,94458318,95133729,96218297,96478565,96592070,96729144,96859557,97346969,98087969,98767179,98830569,99001817,99022049,99306710,99758870,...,119090789035770269543548274054741318743883297714989119798117343982148936159544166718630528701392548217566561298121184221742877827148822714559894846153510640220713900487321715457094518515098281548945876417122565951565284765143485296786733852581712103198020215497197858379687650691184995180003210615968387935335998193403975129532260810153937129647197612029854558765634409242337211075458493005729877564498855602057142463632774093806159798567139534676344962746274442539718637848096639597793153845960257472932359770135797515424364388002986572486302787057305442615029499861195644926325203584190405545084258665744810259342510383343327440458641859125482749676159747105343525373428619439106993841348988029561971288524992619559243412775713549086656123209956540303090004962961032816604317509152907778603443649267511275617967536112273201486189855635817016534759310584458556349956653825796656701202342572110042276119353752014842935966730201711953399080510547848294869485001096881821198577989372985214694339663735618215086389119326209592572445631573900951503221541753841860506158218172208409784902876009254444168552922634631473441884493287469474358329560564420176707374891498758155699433138269246500952307806090435899363859360632307845239086808488565204333589681218385982605693907293135786688610324485864245169312341968815298054512001578326709254690946018417689513463345951136253307291302872237793961907562082268739156911649197614560842523374961263634514773042091175476518137246789687420087154536774102874036020519854408104610852145120311017212475614993618681917195596406731056716373639244631958032876904554194660923679127170982175699962269816962851745626145543965207532526773544448272874820508420109947304928227167901033194534690345947336240973805527589493734530453611000981928805754804874421190180170875562968488512856724631258268091916420408050438167885713510866140233131955249719641664936366570988132658990941553669834720624577005982099628122355404155484397195637147444811037395946928523580691026818630462154146931161109395821550358055661211760360722313420579033343540930548814984892503610223092620886607646950733461017131087029690759605589508292051282853057317857963693054760873900743624760306525539217545635057776191955372242650000415629071268626211461951525745576295047965502419031046056914164405030237791817417296943795706004368675469808723182988491412039830787228684541999682795081563195267221817118183255201200471231693604966339980937712395703217290835949771535584620819610926384158110415016506204529211348360392661997615340496910035524373467063541307064380051685514848264042215542217539743377503445185209634432980393007684594686320759417676174457077969815296925647951150007740581789624522357763428022917556765593295221798604820438926356782493347989899342408195717213361127090286131194228250648467524302434258517013827992723027160052227632007743594683482441684876113724630113063293541762811903765273845400889680212966491268935666642160087578865639116354418864463441897071230608663102897151124759335063967205509394117344146750043843028529346046344467738837021073683609715797546028507553602381310764476345536021533158801518979884401197606153657880995634295194448914274188103139193585831317815477556288363852644859140814011046994236143862237259361275802362711555200302378427807000732102104108941430280684110931328666967895780883892078114613481572800935976902557659828101933058510472286226300360921285906506167886936261064359396673172781704247966919140178681477519960954215119453016422094056803439611150826466569367447302038492525569372993480757704604899185436003559187912503575112114653567193977567777612079558568578693764341810619209697852390569936174933951282122867026091468011863451272783381075837431247621467124893889691462986479535189772}
23480 116150512982985670604176732674258483885585645056378293501821493383006427274870: {164311,234730,281676,891442,1453714,1595212,2202514,2547439,2719852,2856874,3697042,4574505,4879472,4909759,5001394,5094442,5324479,5419029,5489406,5526412,6289639,6427231,6451225,6488242,6564751,7044754,7114111,7251271,7322794,7741470,7785874,7799191,8046437,8060264,8072719,8257568,8433514,9067797,9265042,9289764,9436039,9707839,10001932,10114999,10555954,10656871,11197591,11324901,11494910,11659954,12486442,12789772,12853354,13036714,13482025,13793892,13902892,14150959,14409874,14410065,14701269,15349111,15370736,15545361,16052914,16178430,16421300,16680652,16805599,17256992,17292078,17509042,18326314,18343852,18384559,18777679,19257704,19323442,19413994,19414116,19431439,19705560,20228242,20473711,20680042,21019264,21041194,21122791,21221674,21492274,21664917,21829157,21922945,22168755,22415551,23187751,23316199,23459000,23646672,24817834,25533994,25621905,26063121,26159794,26307534,26391375,26427754,26602506,26757079,27330032,27498154,27737801,27765394,28150800,28210474,28299442,28645999,29272039,29365612,29397031,30027520,30164074,30343145,30397544,30746286,31027525,31184510,31207957,31491634,31510879,31669650,31933354,32005231,32286442,32621551,32744599,33079954,33196012,33608242,33728264,33780960,33848791,34135954,34197237,34399594,34575274,34654449,34887909,34926442,35190439,35407065,35433439,35715634,35923372,36033024,36105105,36281671,36411774,36678442,36885391,37184997,37233030,37421412,37464754,37487311,37767536,37847599,37944297,37988242,38003580,38087431,38512112,38643532,38772394,38859442,39062702,39625430,39639319,39715232,40351471,40537152,40588279,40943794,41117074,41356492,41479784,41533225,41896042,42003079,42241834,42488478,42673714,42706591,42823591,42923361,42940519,43326126,43347350,43536274,43966954,44549300,44569951,44679636,44685799,44827114,45342442,45604296,46070359,46221676,46285714,46664757,46873231,46940894,47213465,47550516,47910442,48127759,48468391,48581791,48649305,48678034,48921559,49103914,49486399,49565649,49614442,49839870,50304104,50464042,51304833,51353481,51404552,51735189,51839071,51892592,52016820,52136332,52242994,52822065,52837639,52918834,53162528,53389879,53459160,53509354,54159991,54725529,54772114,54813292,55426161,55484608,55528042,55580839,55803860,55929797,56232511,56343536,56416012,56592117,56656158,56665519,56898152,56989519,57023104,57203242,57830121,57954994,58379166,58455442,58538794,59006725,59451991,59783601,59807844,59982271,60141555,60145612,60451474,60532945,60932239,61282664,61457479,61777042,61834409,62085391,62294119,62420184,62541705,62933554,63155649,63235065,63386478,63428242,63540439,63757714,63922354,64010421,64150992,64205589,65155114,65401234,65983525,66711152,66712111,66914359,66964632,67058420,67116319,67129041,67392705,67450736,67820911,67936042,68121799,68669074,68821351,68942997,69219511,69418159,69887914,70209871,70222707,70293394,70779442,70808070,71103154,71507434,71675429,71779471,71885552,72168991,72169866,72300652,72314794,72639534,72794289,72971409,73619431,74672791,74804169,74887594,75050046,75335211,75528608,75688234,75882078,75969772,76000831,76435225,76818917,77125354,77537932,77642504,77966431,78060076,78690837,78706879,78799111,79180230,79271314,79344545,79350991,79438436,79442719,79719800,79814024,79899710,79915525,80458474,80470104,80695474,80871246,81090154,81169042,81442519,81563242,81608245,81622591,81892159,82035754,82071511,82429351,83052799,83920042,84015129,84150152,84458912,84638001,84969684,85093042,85232744,85405234,85511311,85795114,86289559,86340274,86375671,86870725,87147439,87347817,87550869,88334870,88589311,89054314,89286034,89511199,89677879,89684775,89749042,89790777,90528867,90980914,91076297,91211434,91559505,91630721,91722270,91818511,92132074,92224591,92386519,92709511,93044501,93372069,93624105,93751279,93910471,94312065,94623271,94668921,94780879,95016276,95213454,95408431,95563954,95663760,95879652,95886837,95898630,96108919,96170674,96927634,96957151,97468761,97663472,97758442,97813749,97837088,97872559,97929894,98024119,98099791,98386769,98437305,98468485,98888242,98927431,99151639,99220012,99564394,99598111,99746359,99865712,...,178636183553655404315322411082111978115824946572483679697176015973223404239316250077945793052088822326349841947181776332614316740723234071839842269230265960331070850730982573185641777772647422323418814625683848927347927147715227945180100778872568154797030323245796787569531476036777492770004815923952581903003997290105962694298391215230905694470796418044781838148451613863505816613187739508594816346748283403085713695449161140709239697850709302014517444119411663809577956772144959396689730768940386209398539655203696273136546582004479858729454180585958163922544249791793467389487805376285608317626387998617215389013765575014991160687962788688224124514239620658015288060142929158660490762023482044342956932787488929338865119163570323629984184814934810454635007444441549224906476263729361667905165473901266913426951304168409802229284783453725524802138965876687834524934980738694985051803513858165063414179030628022264403950095302567930098620765821772442304227501645322731797866984059477822041509495603427322629583678989314388858668447360851427254832312630762790759237327258312614677354314013881666252829383951947210162826739931204211537494340846630265061062337248137233549149707403869751428461709135653849045789040948461767858630212732847806500384521827578973908540860939703680032915486728796367753968512953222947081768002367490063882036419027626534270195018926704379960936954308356690942861343123403108735367473796421841263785062441895451772159563136763214777205870184531130130731805161154311054030779781612156916278217680466525818713422490428022875793394610096585074560458866947937049315356831291991385518690756473263549943404725444277618439218315947811298790160316672409312230762630164920957392340751851549791802035518921004361460708291384240601795680416501472893208632207311631785270256313344452732769285086946887402137874630612075657251828570266299210349697932874579462497404549856482198988486412330504752080936865508973149442183533106233226595793455721167216556093920392785371036540227945693231220396741664093732325537083491817640541083470130868550015311395823222477338755415334638931329911470426100191525696630544536139408384262438076924279585976786945539582141310851115437140459788308826318452586664287933058363975000623443606902939317192927288618364442571948253628546569085371246607545356687726125945415693559006553013204713084774482737118059746180843026812999524192622344792900832725677274882801800706847540407449509971406568593554825936253924657303376931229416389576237165622524759306793817022540588992996423010745365053286560200595311960596570077528272272396063323313326309615066255167777814451649470589511526892029481139126514261685616954722945388471926725011610872684436783536645142034376335148389942832697907230658389535173740021984849013612293575820041690635429196791342375972701286453651387775520741989084540740078341448011615392025223662527314170586945169594940312644217855647910768101334520319449736903403499963240131368298458674531628296695162845606845912994654345726687139002595950808264091176016220125065764542794019069516701608255531610525414573696319042761330403571966146714518304032299738202278469826601796409230486821493451442791673371411282154708790378746976723216334432545778967288711221016570491354215793355889041913703544067332800453567641710501098153156163412145421026166396993000451843671325838117171920222359201403965353836489742152899587765708429339450541381928859759251830404391596539095009759172556371950378710268022216279941431322679179524633141085205159416726239699854051170953057738788354059490221136556907348778154005338781868755362668171980350790966351666418119337852868040646512715928814546778585854904262400926923184300539137202017795176909175071613756146871432200687340834537194479719302784658}
23481 116563040538894158058551211398796944190572444125343354071742724066489133101554: {352095,375568,422514,1337163,1994015,2180571,2392818,2838539,3303771,3399815,4079778,4269538,4285311,5545563,5932091,6099340,6776183,6908015,7052731,7225372,7319208,7502091,7641663,8234109,8289618,9732363,10075330,10321960,10567131,10984191,11270311,11582818,11612205,11678811,12090396,12386352,12502415,12650271,13449394,13652111,13800859,13897563,13934646,15002898,15099868,15833931,15987215,16850491,17242365,17378615,17489931,18274619,18391856,18710183,18729663,19072834,19184658,19213420,19280031,19555071,19601692,20526625,20690838,20727148,20850815,20854338,21571240,21614811,22082231,22929815,23056104,23913778,24072130,24079371,24267645,24631950,24696274,25020978,25820962,25885488,25938117,25962959,26263563,26274080,26597851,27489471,27515778,28886556,28985163,29032751,29120991,29121174,29323750,29470831,29512231,29558340,30342363,31020063,31528896,31561791,31752443,31832511,32238411,33046594,33631499,33698098,34162540,34750828,35076712,35162831,35188500,35470008,35964263,36294811,36707015,37226751,37534400,37996930,38223119,38263378,38300991,39239691,39333719,39461301,39641631,39903759,40761058,40995048,41247231,41495015,41648091,42160330,42226200,42315711,42449163,42486383,44016091,44048418,44334191,44904215,44978983,45007474,45041280,45246111,45406018,45596316,45859979,46119429,46205932,46517212,46776765,47209420,47237451,47504475,47577751,47836343,47900031,48044032,48140140,48304415,48429663,48549032,48909179,49300594,49579996,49619931,49644040,49785883,49794018,49873714,49895216,50412363,50592396,50671440,51203931,51599391,51695615,51849730,51862911,51962591,52389663,53573451,53622331,53885058,54049536,54238882,54258311,54328583,54617661,55017663,55686625,55849545,56132118,56197131,56249183,56651304,56982363,57005370,57231148,57235579,57768168,57777095,57965298,58158591,58289163,58372258,58594053,58936618,59019394,59438145,59572848,60196903,60805728,61415691,61675611,62034738,62219676,62844063,62880130,62899858,63125071,63362751,63400688,63732717,64010571,64255690,64865740,64989189,65021025,65170415,65304411,65950431,66087532,66140183,66193738,66453160,66823950,66879259,67019454,67240671,67331851,67937191,68013663,68027159,68406444,68471308,68498831,68516615,68651759,68980252,69332514,69355760,69428571,69754825,69837271,70284251,70411341,70429420,70520015,71122690,71278880,71325774,71677199,71865663,72770191,72967372,73017051,73074863,73484471,73631383,73655871,73901548,74421663,74455618,74578651,74759805,75182015,75456156,75541544,75696063,76481903,76603330,77065378,77106828,77838888,78025230,78204498,78364491,79040722,79226939,79378251,79483871,79711468,79743792,80188740,80264031,80516194,81723031,82158171,82219938,83226912,83292063,83388940,83705790,83823025,84207532,84303778,84313420,84515304,84624018,84984237,85327423,85347228,85455538,85534656,85607452,85804863,86932491,87382498,87568749,87683163,87808191,87892391,88024594,88596479,89286176,89460731,89505388,89711766,89763311,89856940,90218418,90375815,90677211,91419298,91874818,91923996,92665563,93213259,93630276,94400331,94410760,94962215,95079717,95142363,95636571,95839643,95883531,96226488,96646799,96852712,96922415,97053130,97059052,97265531,97295212,97575095,97732671,98096551,98101851,98763599,99298045,99649750,99738892,99767530,...,267954275330483106472983616623167967173737419858725519545764023959835106358974375116918689578133233489524762920772664498921475111084851107759763403845398940496606276096473859778462666658971133485128221938525773391021890721572841917770151168308852232195545484868695181354297214055166239155007223885928872854505995935158944041447586822846358541706194627067172757222677420795258724919781609262892224520122425104628570543173741711063859546776063953021776166179117495714366935158217439095034596153410579314097809482805544409704819873006719788094181270878937245883816374687690201084231708064428412476439581997925823083520648362522486741031944183032336186771359430987022932090214393737990736143035223066514435399181233394008297678745355485444976277222402215681952511166662323837359714395594042501857748210851900370140426956252614703343927175180588287203208448815031751787402471108042477577705270787247595121268545942033396605925142953851895147931148732658663456341252467984097696800476089216733062264243405140983944375518483971583288002671041277140882248468946144186138855990887468922016031471020822499379244075927920815244240109896806317306241511269945397591593505872205850323724561105804627142692563703480773568683561422692651787945319099271709750576782741368460862811291409555520049373230093194551630952769429834420622652003551235095823054628541439801405292528390056569941405431462535036414292014685104663103051210694632761895677593662843177658239344705144822165808805276796695196097707741731466581046169672418235374417326520699788728070133735642034313690091915144877611840688300421905573973035246937987078278036134709895324915107088166416427658827473921716948185240475008613968346143945247381436088511127777324687703053278381506542191062437076360902693520624752209339812948310967447677905384470016679099153927630420331103206811945918113485877742855399448815524546899311869193746106824784723298482729618495757128121405298263459724163275299659349839893690183581750824834140880589178056554810341918539846830595112496140598488305625237726460811625205196302825022967093734833716008133123001958396994867205639150287288544945816804209112576393657115386419378965180418309373211966276673155710689682463239477678879996431899587545962500935165410354408975789390932927546663857922380442819853628056869911318035031589188918123540338509829519807069627161724105677089619271264540219499286288933517189351249088515912324202701060271310611174264957109852890332238904380886985955065396844124584364355748433787138960190725533810883489494634516118047579929840300892967940894855116292408408594094984969989464422599382751666721677474205884267290338044221708689771392528425432084418082707890087517416309026655175304967713051564502722584914249046860845987584302760610032977273520418440363730062535953143795187013563959051929680477081663281112983626811110117512172017423088037835493790971255880417754392410468966326783471866152152001780479174605355105249944860197052447688011797442445042744268410268869491981518590030708503893926212396136764024330187598646814191028604275052412383297415788121860544478564141995605357949220071777456048449607303417704739902694613845730232240177164187510057116923232063185568120465084824501648818668450933066831524855737031323690033833562870555316100999200680351462565751647229734245118218131539249595489500677765506988757175757880333538802105948030754734613229349381648562644009175812072893289638877745606587394808642514638758834557925568065402033324419912146984018769286949711627807739125089359549781076756429586608182531089235331704835361023167231008008172803133044002257970526186449527499627179006779302060969769073893221820167878782356393601390384776450808705803026692765363762607420634220307148301031011251805791719578954176987}
23482 116977023688861634042270271011768965720618299744680603409970222273381429137606: {328622,469460,539557,563352,633771,1782884,1942117,2640697,2907428,3190424,3476617,3589227,4405028,4448581,5094878,5439704,5713748,6119667,6404307,6519481,6794377,7394084,7624175,8846917,9031715,9149010,9255481,9663397,9758944,9819518,10002788,10188884,10206277,10612681,10648958,10838058,10978812,11018437,11052824,11693257,11962681,12434427,12579278,12854462,12902450,12976484,13129502,14089508,14228222,14502542,14645588,15112995,15482940,15571748,15598382,16092874,16120528,16145438,16515136,16867028,16895077,17290681,17374227,17554057,18135594,18530084,18579528,18872078,18874835,18997477,19415678,19520197,20003864,20174091,20229998,20562181,20901969,21111908,21211081,21313742,21858181,22395182,22504347,22649802,22761097,22989820,23319908,23532217,24016775,24428581,24502115,24972884,25579544,25706708,25908935,26073428,26964050,27222757,27587784,27805784,28301918,28606777,28609251,28776987,28819748,28820130,29402538,30355657,30692123,30698222,30741472,31036257,31090722,31100857,31281507,31966981,32105828,32356860,32842600,33361304,33611198,34055737,34422181,34513984,34584156,35018084,35031481,35396197,35870667,36108195,36652628,36687704,36769118,36882131,36947925,37044411,37210057,37531467,37555358,38515408,38646884,38731443,38827988,38828232,38862878,39411120,40434181,40456484,40947422,41261497,41273667,41360084,42038528,42082388,42245582,42443348,42480403,42554437,42703175,42984548,43329834,43438535,43658314,43681761,43845890,43985625,44187397,44337510,44535481,44831102,44882917,45691081,46375502,46632398,46918000,47068297,47293344,49340617,49453477,49569891,49635668,50241481,50465977,50547147,51025957,51067988,51243810,51695557,52126242,52319588,52615068,52782750,52855508,53205012,53247877,53514158,53908837,54457657,54660064,54895417,54996308,55475602,55530788,55984777,56301600,56310181,56420948,56598884,56634937,56995395,57291998,57395067,57712777,57757415,57927481,58146515,58248997,58544078,58676677,58731224,58794062,59011775,60055040,60175175,60328148,60375877,60686290,60795088,61141587,61428517,61492572,61974995,62055050,62161081,62369020,62415914,62890117,62983268,62993977,63021758,63240495,63339300,63866708,64010462,64572884,65243102,65260681,65489198,65770981,66072627,66098851,66159908,66392024,66583717,67216484,67456528,67511211,67561920,67593157,67697582,68109027,68271908,68394474,68799188,69150548,69292681,69308898,69775818,69788581,69852884,70380878,70479817,70814130,70866878,71431268,71461177,71538935,71846744,72066048,72210210,72563342,72823548,73356884,73498597,73770782,73950891,74369994,74466060,74691027,74810571,74842824,74929508,74974622,75124681,75535072,75695198,75888594,75976484,76007160,76174862,76542181,76729957,76823737,77024224,77287064,77544788,77718884,77774595,78125404,78129097,78221797,78684217,79144837,79250860,79278638,79328581,79430464,80702942,80827587,81074304,81082175,81176558,81358323,81887588,82050181,82219379,82234148,82609415,82712984,82959568,83066450,83792084,84006158,84092857,84198177,84483668,84706981,84746123,84976956,85143481,85347428,85413182,85508055,85589135,85647182,85751557,85846722,85881038,86225315,86614117,86652252,86694700,86947947,87072548,87469477,87558387,87933908,87979237,88036775,88404927,88529091,88739017,88990981,89098600,89139902,89359272,89371598,89654228,90684884,90901177,91208592,91209215,91638277,92140718,92376935,92443352,92571428,92692681,92934277,93052107,93329514,93495481,93746462,93881788,94320195,94349787,94426930,94449337,94686181,95101032,95470981,95820884,96255518,96383535,96788617,96936782,97018981,97163582,97298610,97356068,97553977,97843118,98161081,98207828,98913481,98972798,99131298,99228884,99290607,99639335,99679740,99806857,...,357272367107310808630644822164223956231649893144967359394352031946446808478632500155891586104177644652699683894363552665228633481446468143679684538460531920662141701461965146371283555545294844646837629251367697854695854295430455890360201557745136309594060646491593575139062952073554985540009631847905163806007994580211925388596782430461811388941592836089563676296903227727011633226375479017189632693496566806171427390898322281418479395701418604029034888238823327619155913544289918793379461537880772418797079310407392546273093164008959717458908361171916327845088499583586934778975610752571216635252775997234430778027531150029982321375925577376448249028479241316030576120285858317320981524046964088685913865574977858677730238327140647259968369629869620909270014888883098449812952527458723335810330947802533826853902608336819604458569566907451049604277931753375669049869961477389970103607027716330126828358061256044528807900190605135860197241531643544884608455003290645463595733968118955644083018991206854645259167357978628777717336894721702854509664625261525581518474654516625229354708628027763332505658767903894420325653479862408423074988681693260530122124674496274467098299414807739502856923418271307698091578081896923535717260425465695613000769043655157947817081721879407360065830973457592735507937025906445894163536004734980127764072838055253068540390037853408759921873908616713381885722686246806217470734947592843682527570124883790903544319126273526429554411740369062260261463610322308622108061559563224313832556435360933051637426844980856045751586789220193170149120917733895874098630713662583982771037381512946527099886809450888555236878436631895622597580320633344818624461525260329841914784681503703099583604071037842008722921416582768481203591360833002945786417264414623263570540512626688905465538570173893774804275749261224151314503657140532598420699395865749158924994809099712964397976972824661009504161873731017946298884367066212466453191586911442334433112187840785570742073080455891386462440793483328187464651074166983635281082166940261737100030622791646444954677510830669277862659822940852200383051393261089072278816768524876153848559171953573891079164282621702230874280919576617652636905173328575866116727950001246887213805878634385854577236728885143896507257093138170742493215090713375452251890831387118013106026409426169548965474236119492361686053625999048385244689585801665451354549765603601413695080814899019942813137187109651872507849314606753862458832779152474331245049518613587634045081177985992846021490730106573120401190623921193140155056544544792126646626652619230132510335555628903298941179023053784058962278253028523371233909445890776943853450023221745368873567073290284068752670296779885665395814461316779070347480043969698027224587151640083381270858393582684751945402572907302775551041483978169081480156682896023230784050447325054628341173890339189880625288435711295821536202669040638899473806806999926480262736596917349063256593390325691213691825989308691453374278005191901616528182352032440250131529085588038139033403216511063221050829147392638085522660807143932293429036608064599476404556939653203592818460973642986902885583346742822564309417580757493953446432668865091557934577422442033140982708431586711778083827407088134665600907135283421002196306312326824290842052332793986000903687342651676234343840444718402807930707672979484305799175531416858678901082763857719518503660808783193078190019518345112743900757420536044432559882862645358359049266282170410318833452479399708102341906115477576708118980442273113814697556308010677563737510725336343960701581932703332836238675705736081293025431857629093557171709808524801853846368601078274404035590353818350143227512293742864401374681669074388959438605569316}
23483 117392467535358418630537083597781294155952261258895663256751051086978148700811: {492933,586825,704190,751136,845028,2228605,2674326,2791621,3354637,3634285,3988030,4361142,4759741,4785636,5506285,5677078,6607542,6799630,7010653,7142185,7573381,7642317,8159556,8539076,8570622,9242605,9671221,10567381,11091126,11864182,12198680,12503485,12736105,13552366,13723515,13816030,14105462,14450744,14638416,14729277,15004182,15283326,15628477,15973437,16134313,16220605,16257087,16468218,16579236,17503381,17611885,18306985,18789397,18868917,19281693,19353675,19464685,19464726,19694253,20150660,20643920,20911381,21083785,21134262,21342333,21597277,21753813,21968382,22382101,22540622,23159413,23162605,23165636,23224410,23357622,23397573,24139311,24180792,24218157,24330061,24772704,25004830,25126441,25300542,25965181,26389885,26477077,26651461,26898788,27203391,27304222,27601718,27795126,27869292,28308117,28737275,29123517,29149885,29191141,30005796,30199736,30344997,30683497,31216105,31667862,31970613,31974430,32101741,32133385,32591785,32828797,33592773,33700982,33974703,34311433,34484730,34757230,34979862,35676157,36024685,36549238,36783712,37420366,37459326,38145668,38369316,38426840,38444557,38535481,38560062,38736181,39110142,39203384,39746317,40132285,40446075,40690861,41053250,41252437,41381676,41454296,41556073,41701630,41708676,42452877,43142480,43229622,43230195,43280521,43772605,44103807,44164462,45172777,45815785,45859630,45863917,46047333,46112208,46372381,46636083,47484781,47827556,47840437,48144260,48158742,48308605,48534985,48535290,49263900,49392548,49421317,50041956,50388901,50416797,50570605,51389821,51641924,51700105,51770976,51876234,51925918,52394953,52527126,52548160,52602985,53054185,53195702,53730685,54198157,54978942,55031556,55121701,55153677,55332733,56253997,56333037,57773112,57801757,57970326,58065502,58075837,58093021,58241982,58242348,58294317,58647500,58941662,59024462,59116680,60128437,60684726,60720181,61421133,62040126,62044585,62865901,63057792,63123582,63368373,63504886,63665022,63834985,64476822,64994751,65399485,65487471,65703241,65768835,66069385,66093188,66506265,67143637,67246653,67262998,67396196,67626181,68032981,68155693,68325080,68504713,68657677,68745385,69162181,69413485,69501656,69563253,69943417,69948597,70153424,70325662,70377000,70526185,70748605,70940016,71345557,71928526,72187357,72373861,72589622,73081117,73414030,73588981,73921381,74453502,74557237,75068800,75410185,75551977,75993860,76446238,76526756,76557517,76601982,76865715,76914601,77927881,77961275,78189363,78479382,78667438,78729085,78922602,79174125,79283262,79736437,79807518,79833385,79886797,80271237,80716105,80887933,81133897,81522116,81756517,81990096,82494462,82699885,82990030,83213403,83296182,83361133,84020605,84320660,84452400,84631422,84709417,84898326,84972766,85339885,85913341,85937997,85998985,86438185,86724541,87316105,87340453,87816117,88032182,88096836,88191093,88668382,89289085,89468413,89808430,89957966,90014948,90082560,90368233,90492222,90812036,91029435,91192632,91238581,91696105,91719958,92238858,92330221,92399101,92411864,93034424,93082575,93553530,93623871,93631837,93661885,94371301,94418840,94474902,94532637,94706581,94775197,94970605,95008950,95155502,95672686,95800062,95923261,96015693,96088064,96280280,96608830,96859326,96910477,96930985,97098064,97148605,97555273,97656755,97818358,97864653,98233797,98560597,98601188,98728021,99063575,99159992,99239862,99288080,99571766,99588036,99747428,99790432,...,535908550660966212945967233246335934347474839717451039091528047919670212717948750233837379156266466979049525841545328997842950222169702215519526807690797880993212552192947719556925333317942266970256443877051546782043781443145683835540302336617704464391090969737390362708594428110332478310014447771857745709011991870317888082895173645692717083412389254134345514445354841590517449839563218525784449040244850209257141086347483422127719093552127906043552332358234991428733870316434878190069192306821158628195618965611088819409639746013439576188362541757874491767632749375380402168463416128856824952879163995851646167041296725044973482063888366064672373542718861974045864180428787475981472286070446133028870798362466788016595357490710970889952554444804431363905022333324647674719428791188085003715496421703800740280853912505229406687854350361176574406416897630063503574804942216084955155410541574495190242537091884066793211850285907703790295862297465317326912682504935968195393600952178433466124528486810281967888751036967943166576005342082554281764496937892288372277711981774937844032062942041644998758488151855841630488480219793612634612483022539890795183187011744411700647449122211609254285385127406961547137367122845385303575890638198543419501153565482736921725622582819111040098746460186389103261905538859668841245304007102470191646109257082879602810585056780113139882810862925070072828584029370209326206102421389265523791355187325686355316478689410289644331617610553593390392195415483462933162092339344836470748834653041399577456140267471284068627380183830289755223681376600843811147946070493875974156556072269419790649830214176332832855317654947843433896370480950017227936692287890494762872177022255554649375406106556763013084382124874152721805387041249504418679625896621934895355810768940033358198307855260840662206413623891836226971755485710798897631049093798623738387492213649569446596965459236991514256242810596526919448326550599318699679787380367163501649668281761178356113109620683837079693661190224992281196976611250475452921623250410392605650045934187469667432016266246003916793989734411278300574577089891633608418225152787314230772838757930360836618746423932553346311421379364926478955357759992863799175091925001870330820708817951578781865855093327715844760885639707256113739822636070063178377836247080677019659039614139254323448211354179238542529080438998572577867034378702498177031824648405402120542621222348529914219705780664477808761773971910130793688249168728711496867574277920381451067621766978989269032236095159859680601785935881789710232584816817188189969939978928845198765503333443354948411768534580676088443417379542785056850864168836165415780175034832618053310350609935426103129005445169828498093721691975168605521220065954547040836880727460125071906287590374027127918103859360954163326562225967253622220235024344034846176075670987581942511760835508784820937932653566943732304304003560958349210710210499889720394104895376023594884890085488536820537738983963037180061417007787852424792273528048660375197293628382057208550104824766594831576243721088957128283991210715898440143554912096899214606835409479805389227691460464480354328375020114233846464126371136240930169649003297637336901866133663049711474062647380067667125741110632201998401360702925131503294459468490236436263078499190979001355531013977514351515760667077604211896061509469226458698763297125288018351624145786579277755491213174789617285029277517669115851136130804066648839824293968037538573899423255615478250178719099562153512859173216365062178470663409670722046334462016016345606266088004515941052372899054999254358013558604121939538147786443640335757564712787202780769552901617411606053385530727525214841268440614296602062022503611583439157908353974}
23484 117809377198624164900048744165364641398208038346527468014647494090905326133389: {258203,657244,867539,938920,1056285,1079114,1126704,1241843,1267542,1568939,2640923,2966339,3523283,3565768,3662339,3801323,3884234,4011489,4032803,4448963,4495163,5281394,5417483,5814856,5969339,5982045,6380848,6520043,6541713,6565883,6953234,7178454,7206803,7343939,8165243,8483939,8515617,8810056,8897162,9165539,9709523,9911313,9935843,10189756,10199445,10207163,10523339,10658723,10673845,10748939,10879408,11289563,11427496,11963723,12008603,12239334,12412163,12546539,12644401,12808614,12855933,12904523,13038962,13217339,13588754,13886339,14019923,14420243,14788168,15248350,15351803,15440339,15970883,16636689,16676483,16896563,17204339,17693834,17796273,17862539,18063430,18298020,18510962,19326794,19517888,19521923,19639036,20005576,20328549,20377768,20412554,20564003,20724045,21158193,21212963,21225362,21297916,21472043,21676116,21957624,22036874,22105648,22118483,22506273,22924989,23149043,23386514,23577083,23925362,24345539,24473363,24686243,24702327,24868854,24983939,25158556,25188325,25708924,25804900,25952968,26259004,26339843,26424769,26593163,26761883,27014723,27519539,28179016,28456444,28651163,28957045,29005084,29197089,29291176,29402339,30109403,30225990,30358403,30965880,31143496,31196764,31599083,31701393,31887539,32011043,32185748,32241056,32290876,32381123,32586443,32709539,32832563,32952573,33030272,33446603,33623485,33734056,33790154,33810933,34302961,34581362,34748454,34836615,35036433,35108114,35277923,35439923,36271188,36272509,36288323,36368939,36972539,37060168,37159056,37507245,37694483,37744156,37749670,37950813,37974539,37994954,38692883,38831356,39040394,39051083,39249803,39488003,40007728,40348182,40358939,40437923,40459996,40477403,40956333,41124362,41147339,41402577,41692689,41803938,42223816,42422162,42627484,42831563,42909539,43026443,43298939,43587973,43716362,44578283,44655539,44790364,45008694,45299604,45522194,45618539,45733763,45979640,46079003,46639816,46958339,47064434,47501793,47529539,47682085,47961645,48033550,48212603,48590963,48666539,48857162,49004230,49495763,49945768,50171339,50283683,50551473,50918939,51030803,51159088,51413416,51727095,51817870,51848939,51960203,52135845,52146856,52469793,52515443,52847723,53928100,54445514,54823857,55175568,55611568,55700339,56130549,56188989,56315603,56351723,56603836,56676443,56856563,57072443,57213554,57218502,57323939,57503339,57553974,57639496,57640260,57754163,57840093,57968843,58665213,58682363,58805076,58931339,59784445,60180325,60711314,60803723,60813949,61384246,61396444,61469483,61482944,61579875,61740685,62072514,62167163,62181444,62201714,62552445,62563014,63828539,63933962,64211656,64552405,64686539,64713720,64844433,65685200,65777483,65811443,66246693,66624083,66722608,66725339,66995003,67222396,67633403,67800923,68111474,68502323,68789445,68835083,68844362,69027968,69168312,69299603,69332723,69795563,70036168,70062962,70125203,70716539,70792394,70880339,71109323,71468363,71741334,71858939,71956403,72086243,72216390,72238113,72280763,72733523,72802935,73055963,73305256,73309375,73375408,73538236,73730483,73764262,73895850,74088822,74273939,74420114,74751539,74846843,75062934,75110716,75164003,76079243,76487339,76862843,77030816,77050163,77293768,77462886,77655976,77656464,77725756,77814351,77888877,77951483,78044339,78137123,78260723,78353339,78723083,78790689,78815339,78822240,79367363,79642403,79793553,80860381,80868362,80912968,81158603,81248939,81405121,81789443,81894844,82058723,82088603,82468413,82522994,82547334,82616485,82720168,82892339,83424923,83925539,84077056,84164776,84245245,84491164,84657539,84886696,84960806,85108874,85181483,85406350,85969096,86393939,86659668,86764993,86877070,86955489,87098253,87316628,87362973,87363522,87691780,87889681,87971250,88157963,88374794,88412493,88536693,88675020,89070962,89446883,89585963,89662204,89765834,89863523,91027089,91382162,91484843,91648163,91973939,92460443,92729603,92751004,93060189,93105083,93264796,93585539,93836000,93930923,94136594,94586688,94685373,94696523,94992325,95037539,95257329,95429339,95481443,95497533,95507483,95658445,95871203,96026603,96413843,96715233,97029683,97168357,97488539,97742339,98121539,98171963,98197163,98549123,98681234,98906954,98949443,98999339,99139782,99248339,99271336,99694523,99818003,99916643,...,803862825991449319418950849869503901521212259576176558637292071879505319076923125350756068734399700468574288762317993496764425333254553323279290211536196821489818828289421579335387999976913400455384665815577320173065672164718525753310453504926556696586636454606085544062891642165498717465021671657786618563517987805476832124342760468539075625118583881201518271668032262385776174759344827788676673560367275313885711629521225133191578640328191859065328498537352487143100805474652317285103788460231737942293428448416633229114459619020159364282543812636811737651449124063070603252695124193285237429318745993777469250561945087567460223095832549097008560314078292961068796270643181213972208429105669199543306197543700182024893036236066456334928831667206647045857533499986971512079143186782127505573244632555701110421280868757844110031781525541764861609625346445095255362207413324127432733115812361742785363805637826100189817775428861555685443793446197975990369023757403952293090401428267650199186792730215422951833126555451914749864008013123831422646745406838432558416567972662406766048094413062467498137732227783762445732720329690418951918724533809836192774780517616617550971173683317413881428077691110442320706050684268077955363835957297815129251730348224105382588433874228666560148119690279583654892858308289503261867956010653705287469163885624319404215877585170169709824216294387605109242876044055313989309153632083898285687032780988529532974718034115434466497426415830390085588293123225194399743138509017254706123251979562099366184210401206926102941070275745434632835522064901265716721919105740813961234834108404129685974745321264499249282976482421765150844555721425025841905038431835742144308265533383331974063109159835144519626573187311229082708080561874256628019438844932902343033716153410050037297461782891260993309620435837754340457633228566198346446573640697935607581238320474354169895448188855487271384364215894790379172489825898978049519681070550745252474502422641767534169664431025755619540491785337488421795464916875713179382434875615588908475068901281204501148024399369005875190984601616917450861865634837450412627337729180971346159258136895541254928119635898830019467132069047389718433036639989295698762637887502805496231063226927368172798782639991573767141328459560884170609733954105094767566754370621015529488559421208881485172317031268857813793620658497858866800551568053747265547736972608103180813931833522794871329558670996716713142660957865196190532373753093067245301361416880572176601432650468483903548354142739789520902678903822684565348877225225782284954909968393267798148255000165032422617652801871014132665126069314177585276296253254248123670262552248927079965525914903139154693508167754742747140582537962752908281830098931820561255321091190187607859431385561040691877155789041431244989843338950880433330352536516052269264113506481372913767641253263177231406898980350415598456456005341437523816065315749834580591157343064035392327335128232805230806608475944555770092125511681778637188410292072990562795940442573085812825157237149892247364365581633435692425986816073847660215332368145348821910253114219708083841537190696720531492562530171350769696189556704361395254473504946456005352799200494574567211093971070101500688611665948302997602041054387697254941689202735354654394617748786468502033296520966271527273641000616406317844092264203839688048144945687932027527436218679868916633236819762184425927543916276503673776704196206099973259736440952056307860849134883423217375268078649343230269288759824547593267705995114506083069501693024024518409399132006773911578559348582498881537020337906182909307221679665460503636347069180804171154329352426117409080078296091287822261902660921444903093033755417375158736862530961}
23485 118227757816729335525623110755456251528244520338226599279805526675052983896024: {821555,985866,1173650,1408380,1502272,1618671,1690056,1901313,3120047,3964571,4457210,5087999,5348652,5583242,5826351,6709274,7268570,7708799,7922091,7976060,8464367,8722284,9519482,9571272,9999059,10429851,10767681,11012570,11082863,11354156,12488723,12737195,12939647,13215084,13345743,13599260,14021306,14284370,14738099,15146762,15284634,16319112,16706303,17078152,17141244,17504879,17830547,18359001,18485210,19212921,19342442,19558443,20383131,21134762,22182252,22205651,22708847,22872525,23728364,24397360,24548795,24656639,25006970,25472210,25629779,26479343,26540751,26622395,26859299,27095145,27104732,27250559,27447030,27632060,27766443,28210924,28901488,28990191,29276832,29458554,29517299,29786927,30008364,30566652,30618831,30686123,31256954,31291091,31448195,31838043,31946874,32136155,32256125,32268626,32427647,32441210,32514174,32823755,32936436,33055311,33158472,35006762,35079771,35223770,35570555,35888043,36256355,36613970,36945839,37303281,37578794,37737834,38538779,38563386,38707350,38929370,38929452,38995955,39388506,40232185,40301320,40363595,40809839,41287840,41796623,41822762,42162731,42167570,42268524,42684666,43069067,43194554,43264751,43507626,43702547,43936764,44764202,44986739,45081244,45338985,45628499,45779123,46318826,46325210,46331272,46376363,46448820,46715244,46795146,47180195,48278622,48361584,48372347,48436314,48539195,48660122,49545408,50009660,50252882,50434559,50574995,50601084,50685231,51872043,51930362,52122681,52662171,52779770,52954154,53284355,53302922,53797576,54202811,54406782,54608444,54803723,55203436,55590252,55738584,55987955,56185199,56317007,56616234,56624505,56992431,57034703,57474550,58247034,58299770,58382282,58407011,58560591,60011592,60133583,60399472,60522273,60689994,61281647,61366994,61606607,61686543,62217059,62432210,62705907,63335724,63633243,63941226,63948860,64142099,64203482,64266770,65183570,65574543,65657594,67185546,67401964,67410125,67513041,67632047,67948979,67949406,68283291,68307587,68622866,68969460,69168143,69514460,69949403,69959724,70234499,70596651,70681259,70754795,70798847,71351663,71352314,72049370,72050325,72380147,73098476,73285743,73355291,73506345,73567424,73595279,73644179,74275859,74840732,74918652,75222959,75558443,76291336,76564091,76738632,76745555,76853680,76889114,77070962,77120124,77472362,77726805,78220284,78234959,78406768,78719027,79351571,79492634,80264570,80892150,80959103,81140891,81381722,81668271,81737123,82106500,82504874,82763352,82908592,83112146,83403260,83417352,84027995,84263663,84905754,85312331,85820331,85827753,86284960,86330961,86459244,86460390,86561042,86862419,87095867,87545210,88207614,88328924,89368979,90345554,91066971,91559279,91631570,91719260,91727834,91838399,91922795,92076369,92094666,92224416,92497139,92744762,93108771,93272166,93302571,93844521,93888395,94126187,94233971,94969562,95161019,95460059,95655112,95680874,95900943,96243539,96288520,96317484,96617210,97069970,97070580,97157195,97178879,98527800,98736659,98785096,98842634,99048047,...,1071817101321932425891934466492671868694949679434902078183056095839340425435897500467674758312532933958099051683090657995685900444339404431039053615381595761986425104385895439113850666635884533940512887754103093564087562886291367671080604673235408928782181939474780725417188856220664956620028895543715491418023983740635776165790347291385434166824778508268691028890709683181034899679126437051568898080489700418514282172694966844255438187104255812087104664716469982857467740632869756380138384613642317256391237931222177638819279492026879152376725083515748983535265498750760804336926832257713649905758327991703292334082593450089946964127776732129344747085437723948091728360857574951962944572140892266057741596724933576033190714981421941779905108889608862727810044666649295349438857582376170007430992843407601480561707825010458813375708700722353148812833795260127007149609884432169910310821083148990380485074183768133586423700571815407580591724594930634653825365009871936390787201904356866932249056973620563935777502073935886333152010684165108563528993875784576744555423963549875688064125884083289997516976303711683260976960439587225269224966045079781590366374023488823401294898244423218508570770254813923094274734245690770607151781276397086839002307130965473843451245165638222080197492920372778206523811077719337682490608014204940383292218514165759205621170113560226279765621725850140145657168058740418652412204842778531047582710374651372710632957378820579288663235221107186780784390830966925866324184678689672941497669306082799154912280534942568137254760367660579510447362753201687622295892140987751948313112144538839581299660428352665665710635309895686867792740961900034455873384575780989525744354044511109298750812213113526026168764249748305443610774082499008837359251793243869790711621537880066716396615710521681324412827247783672453943510971421597795262098187597247476774984427299138893193930918473983028512485621193053838896653101198637399359574760734327003299336563522356712226219241367674159387322380449984562393953222500950905843246500820785211300091868374939334864032532492007833587979468822556601149154179783267216836450305574628461545677515860721673237492847865106692622842758729852957910715519985727598350183850003740661641417635903157563731710186655431689521771279414512227479645272140126356755672494161354039318079228278508646896422708358477085058160877997145155734068757404996354063649296810804241085242444697059828439411561328955617523547943820261587376498337457422993735148555840762902135243533957978538064472190319719361203571871763579420465169633634376379939879957857690397531006666886709896823537069161352176886834759085570113701728337672330831560350069665236106620701219870852206258010890339656996187443383950337211042440131909094081673761454920250143812575180748054255836207718721908326653124451934507244440470048688069692352151341975163885023521671017569641875865307133887464608608007121916698421420420999779440788209790752047189769780170977073641075477967926074360122834015575704849584547056097320750394587256764114417100209649533189663152487442177914256567982421431796880287109824193798429213670818959610778455382920928960708656750040228467692928252742272481860339298006595274673803732267326099422948125294760135334251482221264403996802721405850263006588918936980472872526156998381958002711062027955028703031521334155208423792123018938452917397526594250576036703248291573158555510982426349579234570058555035338231702272261608133297679648587936075077147798846511230956500357438199124307025718346432730124356941326819341444092668924032032691212532176009031882104745798109998508716027117208243879076295572887280671515129425574405561539105803234823212106771061455050429682536881228593204124045007223166878315816707948}
23486 118647614545636890674290449740747793893662011727885470100069445693314809818831: {305149,516406,1314488,1478799,1735078,1760475,1877840,2112570,2158228,2253408,2483686,2535084,3137878,4495549,5281846,5932678,6428893,6566449,6685815,7046566,7131536,7253149,7324678,7602646,7768468,8022978,8065606,8374863,8897926,8990326,9970075,9981949,10063911,10524253,10562788,10834966,10902855,11629712,11938678,11964090,12009649,12761696,13040086,13083426,13131766,13906468,14192695,14279223,14356908,14413606,14687878,14943383,16148893,16330486,16518855,16967878,16999075,17031234,17469373,17620112,17794324,17864113,18331078,19419046,19822626,19871686,20379512,20398890,20414326,20739073,21031959,21046678,21128413,21317446,21347690,21426555,21497878,21758816,22579126,22720143,22854992,22926951,23193949,23322433,23927446,24017206,24478668,24824326,24986173,25093078,25288802,25617228,25711866,25809046,26077924,26434678,27017149,27177508,27727815,27772678,28039846,28779133,28840486,29013663,29404993,29576336,29660455,30496700,30703606,30880678,31395649,31702143,31890433,31941766,32137393,32630449,32753533,33273378,33352966,33793126,33858049,33880915,33980413,34408678,34540075,35263655,35387668,35564593,35592546,35725078,36126860,36412573,36596040,37016113,37021924,37510455,37978033,38208315,38217793,38653588,39035776,39043846,39278072,40011152,40481149,40539863,40657098,40755536,40825108,41128006,41170545,41448090,42316386,42425926,42450724,42595832,42718513,42835549,42944086,42952513,43352232,43915248,44001949,44073748,44187831,44211296,44236966,44698333,45012546,45849978,46298086,46773028,46885431,46886449,47072879,47154166,47572033,47850724,47920311,48230479,48402939,48595549,48661815,48691078,48771261,48946726,49372486,49404654,49613233,49737708,49967878,50317112,50376650,51417848,51513059,51609800,51853873,51905936,51965149,52510143,52518008,52520449,52679686,52835655,52849538,53184433,53186326,53515453,53523766,54029446,54920955,55039078,55705693,56351555,56357149,56358032,56368191,56606751,56912888,57302326,57329473,57845079,57914090,58010168,58061025,58394055,58394178,58582352,58804678,59082759,59469313,60218806,60451980,60633949,60716806,61931760,62286992,62393528,62512075,62734143,62833153,63198166,63251355,63402786,63775078,64022086,64026999,64281649,64371496,64482112,64581752,64762246,64791831,65172886,65205373,65261439,65419078,65665126,65817949,65905146,66060544,66754919,66833149,66893206,67146303,67246970,67338049,67468112,67580308,67621866,67841149,68260555,68605922,69004295,69162724,69240253,69339649,69478239,69487815,69496908,69673230,70072866,70192719,70216228,70555846,70879846,70920193,72288049,72417933,72542376,72545018,72576646,72654471,72737878,72773149,72990183,73352893,73641793,73737949,73945078,74120336,74313373,74318112,75014490,75379323,75388966,75488312,75499340,75901626,75949078,75989908,76024093,76212733,77058049,77385766,77662712,77895543,77990449,78080788,78102166,78499606,78823453,78976006,79169655,79431231,79467313,79936075,79954383,80015456,80289949,80653693,80696364,80717878,80875846,80919992,80954806,81287473,81610173,81912666,82097149,82248724,82294678,82805154,83385378,83607876,83698223,84252455,84447632,84844324,84924351,85254968,85538353,85625149,85663126,85819078,86052886,86211825,86403073,86436959,86597878,86893075,87175946,87370551,87432724,87449655,87573423,88701853,89156566,89311078,89580728,90017388,90373367,90599208,91034991,91044388,91112449,91237078,91373095,91467526,91521949,91959280,92010973,92050491,92158006,92335549,93222193,93279632,93550915,93648315,93861553,93916678,94020673,94128868,94811953,95003586,95047933,95059078,95364170,95517949,95911839,95923290,96067100,96305223,96400155,96425206,97181926,97333078,97714324,97775355,98008460,98132413,98208049,98486391,98991526,99259393,99631453,99705649,99891536,...,1607725651982898638837901699739007803042424519152353117274584143759010638153846250701512137468799400937148577524635986993528850666509106646558580423072393642979637656578843158670775999953826800910769331631154640346131344329437051506620907009853113393173272909212171088125783284330997434930043343315573237127035975610953664248685520937078151250237167762403036543336064524771552349518689655577353347120734550627771423259042450266383157280656383718130656997074704974286201610949304634570207576920463475884586856896833266458228919238040318728565087625273623475302898248126141206505390248386570474858637491987554938501123890175134920446191665098194017120628156585922137592541286362427944416858211338399086612395087400364049786072472132912669857663334413294091715066999973943024158286373564255011146489265111402220842561737515688220063563051083529723219250692890190510724414826648254865466231624723485570727611275652200379635550857723111370887586892395951980738047514807904586180802856535300398373585460430845903666253110903829499728016026247662845293490813676865116833135945324813532096188826124934996275464455567524891465440659380837903837449067619672385549561035233235101942347366634827762856155382220884641412101368536155910727671914595630258503460696448210765176867748457333120296239380559167309785716616579006523735912021307410574938327771248638808431755170340339419648432588775210218485752088110627978618307264167796571374065561977059065949436068230868932994852831660780171176586246450388799486277018034509412246503959124198732368420802413852205882140551490869265671044129802531433443838211481627922469668216808259371949490642528998498565952964843530301689111442850051683810076863671484288616531066766663948126218319670289039253146374622458165416161123748513256038877689865804686067432306820100074594923565782521986619240871675508680915266457132396692893147281395871215162476640948708339790896377710974542768728431789580758344979651797956099039362141101490504949004845283535068339328862051511239080983570674976843590929833751426358764869751231177816950137802562409002296048798738011750381969203233834901723731269674900825254675458361942692318516273791082509856239271797660038934264138094779436866073279978591397525275775005610992462126453854736345597565279983147534282656919121768341219467908210189535133508741242031058977118842417762970344634062537715627587241316995717733601103136107494531095473945216206361627863667045589742659117341993433426285321915730392381064747506186134490602722833761144353202865300936967807096708285479579041805357807645369130697754450451564569909819936786535596296510000330064845235305603742028265330252138628355170552592506508496247340525104497854159931051829806278309387016335509485494281165075925505816563660197863641122510642182380375215718862771122081383754311578082862489979686677901760866660705073032104538528227012962745827535282506526354462813797960700831196912912010682875047632130631499669161182314686128070784654670256465610461613216951889111540184251023363557274376820584145981125591880885146171625650314474299784494728731163266871384851973632147695320430664736290697643820506228439416167683074381393441062985125060342701539392379113408722790508947009892912010705598400989149134422187942140203001377223331896605995204082108775394509883378405470709308789235497572937004066593041932543054547282001232812635688184528407679376096289891375864055054872437359737833266473639524368851855087832553007347553408392412199946519472881904112615721698269766846434750536157298686460538577519649095186535411990229012166139003386048049036818798264013547823157118697164997763074040675812365818614443359330921007272694138361608342308658704852234818160156592182575644523805321842889806186067510834750317473725061922}
23487 119068952559264187918326677942737037776591796826386284774832895703494581348552: {774609,1150177,1643110,1971732,2347300,2602617,2697785,2816760,3004544,3168855,3237342,3380112,3725529,3802626,4386833,4706817,6240094,7479593,7922769,7929142,8899017,8914420,9167777,9710585,10175998,10569849,10697304,10987017,11166484,11403969,11652702,12034467,12098409,13097929,13203485,13346889,13418548,13485489,14537140,15197633,15417598,15844182,15952120,16252449,16471993,16928734,17383085,17444568,17832073,17908017,17946135,19038964,19142544,19560129,19625139,19697649,19998118,20859702,21098717,21535362,21620409,22025140,22031817,22165726,22242905,22708312,24495729,24977446,25313777,25451817,25474390,25546851,25879294,26430168,26691486,27198520,27496617,27505313,27842813,28042612,28242593,28568740,29128569,29476198,29733939,29807529,30293524,30569268,30598335,30621489,31293769,31570017,31976169,32021535,32246817,32597405,32638224,33412606,33868689,33971885,34156304,34282488,34368313,35009758,35171873,35661094,35891169,36025809,36718002,36970420,37236489,37271353,37639617,37933203,38120875,38232953,38425842,38567799,38684884,38713569,39116886,39652017,40035689,40124573,40766262,41659017,42059769,42269524,43072753,43260729,44027473,44234585,44364504,44411302,44868797,44990617,45089873,45158575,45417694,45745050,45871793,45953257,46055409,46277405,46321017,47456728,47912649,48316985,48794720,49097590,49313278,49396009,49798777,49910067,50013940,50029449,50445593,50689689,50758897,50944420,51031385,51259558,51613017,51975953,52958686,53063405,53081502,53244790,53388819,53587617,53718598,54190290,54209464,54342557,54501118,54594337,54808429,54894060,55092185,55264120,55532886,56325059,56421848,56509033,57481577,57802976,57980382,58466285,58553664,58565769,58917108,59034598,59072093,59573854,59813405,60016728,60315389,60985647,61133304,61237662,61372246,61692009,62172135,62513908,62582182,62896390,63474579,63638889,63676086,63893748,64272310,64416129,64512250,64537252,64855294,64882420,65028348,65647510,65872872,66052273,66110622,66316944,66355449,67404649,67518819,67954873,68313433,68412653,68516477,68774967,69447129,69536713,70013524,70159542,70302329,70447540,70731249,70804993,70874513,71141110,71776086,72512710,73036617,73227940,73361569,73420089,73503377,73891678,74058729,74106981,74598097,74606562,74951817,75157588,75475668,75564975,75586913,77077558,77126772,77414700,77858740,77858904,77982353,77991910,78383137,78777012,79019529,79274307,79779489,80285649,80464370,80602640,80727190,80755433,81044169,81347489,81619678,81744169,82558617,82575680,83532397,83593246,83645524,84325462,84335140,84475385,84537048,85229693,85369332,85953489,86138134,86389108,86453405,86529502,86871135,87015252,87405094,87591267,87770285,87873528,87980089,88207017,88619273,89483777,89528404,89973478,90162488,90328209,90677970,91075209,91115657,91256998,91289033,91558246,92459497,92637652,92650420,92654333,92662544,92674889,92752726,92897640,93430488,93590292,94360390,94374175,94797249,94987385,95104179,95662617,96033129,96557244,96723168,96744694,96872628,97078390,97143369,97320244,97600985,97759329,97842473,98128617,98497689,98789273,98857719,99056713,99090816,99584329,...,2411588477974347958256852549608511704563636778728529675911876215638515957230769376052268206203199101405722866286953980490293275999763659969837870634608590464469456484868264738006163999930740201366153997446731960519197016494155577259931360514779670089759909363818256632188674926496496152395065014973359855690553963416430496373028281405617226875355751643604554815004096787157328524278034483366030020681101825941657134888563675399574735920984575577195985495612057461429302416423956951855311365380695213826880285345249899687343378857060478092847631437910435212954347372189211809758085372579855712287956237981332407751685835262702380669287497647291025680942234878883206388811929543641916625287317007598629918592631100546074679108708199369004786495001619941137572600499960914536237429560346382516719733897667103331263842606273532330095344576625294584828876039335285766086622239972382298199347437085228356091416913478300569453326286584667056331380338593927971107071272211856879271204284802950597560378190646268855499379666355744249592024039371494267940236220515297675249703917987220298144283239187402494413196683351287337198160989071256855756173601429508578324341552849852652913521049952241644284233073331326962118152052804233866091507871893445387755191044672316147765301622685999680444359070838750964678574924868509785603868031961115862407491656872958212647632755510509129472648883162815327728628132165941967927460896251694857061098342965588598924154102346303399492279247491170256764879369675583199229415527051764118369755938686298098552631203620778308823210827236303898506566194703797150165757317222441883704502325212389057924235963793497747848929447265295452533667164275077525715115295507226432924796600149995922189327479505433558879719561933687248124241685622769884058316534798707029101148460230150111892385348673782979928861307513263021372899685698595039339720922093806822743714961423062509686344566566461814153092647684371137517469477696934148559043211652235757423507267925302602508993293077266858621475356012465265386394750627139538147304626846766725425206703843613503444073198107017625572953804850752352585596904512351237882013187542914038477774410686623764784358907696490058401396207142169155299109919967887096287913662508416488693189680782104518396347919974721301423985378682652511829201862315284302700263111863046588465678263626644455516951093806573441380861975493576600401654704161241796643210917824309542441795500568384613988676012990150139427982873595588571597121259279201735904084250641716529804297951405451710645062428219368562708036711468053696046631675677346854864729905179803394444765000495097267852958405613042397995378207942532755828888759762744371010787656746781239896577744709417464080524503264228241421747613888258724845490296795461683765963273570562823578294156683122075631467367124293734969530016852641299991057609548156807792340519444118741302923759789531694220696941051246795369368016024312571448195947249503741773472029192106176982005384698415692419825427833667310276376535045335911565230876218971688387821327719257438475471711449676742093096744900307077277960448221542980645997104436046465730759342659124251524611572090161594477687590514052309088568670113084185763420514839368016058397601483723701633281913210304502065834997844908992806123163163091764825067608206063963183853246359405506099889562898814581820923001849218953532276792611519064144434837063796082582308656039606749899710459286553277782631748829511021330112588618299919779209322856168923582547404650269652125804235948029690807866279473642779803117985343518249208505079072073555228197396020321734735678045747496644611061013718548727921665038996381510909041207542412513462988057278352227240234888273863466785707982764334709279101266252125476210587592883}
23488 119491777049545094891152320115024982956350204100335978016428127827470527103872: {610298,680311,961327,1032812,1662607,2082511,2464665,2628976,2934125,2957598,3059767,3470156,3477511,3520950,3755680,3894607,4225140,4316456,4449727,4506816,4588327,4856013,4967372,5070168,5703939,6275756,8985511,8991098,9257887,9360141,9937567,10344511,10563692,10615447,10750807,11143025,11865356,11893713,12857786,13132898,13371630,13442887,13958105,14093132,14111407,14263072,14506298,14649356,15205292,15263997,15443047,15536936,15973687,16045956,16131212,16370911,16749726,16773185,17295247,17479053,17795852,17980652,18084727,18171425,18347311,19869773,19940150,19963898,20127822,21048506,21125576,21346327,21669932,21805710,21993247,22895911,23126397,23259424,23766273,23798705,23877356,23928180,24019298,24435127,24562927,25393101,25523392,26080172,26166852,26263532,26344567,27103807,27356311,27531425,27812936,27986311,28385390,28558446,28713816,28827212,29375756,29886766,29997177,31109311,31289553,31975687,32297786,32303043,32660972,33037710,33207247,33248589,33935756,33998150,34062468,34187311,34938746,35053265,35162767,35240224,35588648,35710925,35728226,35770087,36375607,36662156,37461007,37466169,37866905,38211585,38779687,38818941,38838092,39645252,39743372,40037229,40445407,40563847,40759024,40797780,40800511,40828652,41036887,41478146,41524637,41626567,42063918,42093356,42256826,42634892,42695380,42853110,42917527,42995756,43517632,44214297,44315911,44547967,44663887,45126847,45158252,45440286,45703927,45709984,45853902,46213025,46387898,46644866,47433281,47854892,48034412,48108007,48356105,48675727,48902311,48957336,49369117,49467511,49648652,49972346,50118909,50186156,50255767,50577604,50592511,51234456,51423732,51618092,52044247,52155848,52514637,52836905,52869356,53373511,53491641,53904653,54034298,54144127,54355016,54473311,55077003,55455630,55545356,56079692,56109511,56651311,56867527,56999657,57558266,57638763,57680972,58027326,58675329,58809986,59013847,59152672,59320910,60393511,60993400,61149393,61407212,61656247,61761356,62517425,62791298,63012511,63404286,63530911,63680525,63780866,63883532,64274786,64767727,65260898,65507066,65892367,66546756,66616953,66705932,67586252,67613311,67716098,67761830,67814407,67960826,68126541,68617575,68817356,69080150,69412807,69809527,70402447,70527310,70599511,70775336,71129186,71185092,71450156,72253720,72825146,73192080,73646385,73969917,74032226,74043848,74193247,74480311,75020910,75956066,76416630,76435586,76565647,76659607,76847311,76889337,77128327,77307176,78071552,78087692,78142385,78245911,78556144,78892177,79438029,79622253,79867185,80022304,80577897,80671565,80962298,81079726,81103025,81285435,81314196,81446311,81511072,81650216,81751677,82256012,82341090,82896180,83235511,83299329,84119311,84632772,84733687,84821167,84851852,84901448,85191664,85437026,85671098,85888172,85905026,86704464,86970573,87516905,87582511,87830496,88003898,88059425,88147496,88176727,88375662,88422592,88473932,88551897,89360781,89396666,89521687,89938207,90025092,90683407,91534925,91699956,91856493,91993807,92058369,92596172,93546056,93605887,93770862,93772898,93873273,93946985,94145758,94308332,94344585,94401127,95144066,95502367,95514129,95564777,95580487,95701448,95840622,96357727,96408465,96460958,96606013,96768375,96805878,97191098,97282941,97323425,97323630,97382156,97542522,97662511,97893452,98193727,98471265,98744972,98809308,98946487,99021367,99165933,99226466,99320167,99475416,99935756,...,3215451303965797277675803399478015606084849038304706234549168287518021276307692501403024274937598801874297155049271973987057701333018213293117160846144787285959275313157686317341551999907653601821538663262309280692262688658874103013241814019706226786346545818424342176251566568661994869860086686631146474254071951221907328497371041874156302500474335524806073086672129049543104699037379311154706694241469101255542846518084900532766314561312767436261313994149409948572403221898609269140415153840926951769173713793666532916457838476080637457130175250547246950605796496252282413010780496773140949717274983975109877002247780350269840892383330196388034241256313171844275185082572724855888833716422676798173224790174800728099572144944265825339715326668826588183430133999947886048316572747128510022292978530222804441685123475031376440127126102167059446438501385780381021448829653296509730932463249446971141455222551304400759271101715446222741775173784791903961476095029615809172361605713070600796747170920861691807332506221807658999456032052495325690586981627353730233666271890649627064192377652249869992550928911135049782930881318761675807674898135239344771099122070466470203884694733269655525712310764441769282824202737072311821455343829191260517006921392896421530353735496914666240592478761118334619571433233158013047471824042614821149876655542497277616863510340680678839296865177550420436971504176221255957236614528335593142748131123954118131898872136461737865989705663321560342353172492900777598972554036069018824493007918248397464736841604827704411764281102981738531342088259605062866887676422963255844939336433616518743898981285057996997131905929687060603378222885700103367620153727342968577233062133533327896252436639340578078506292749244916330832322247497026512077755379731609372134864613640200149189847131565043973238481743351017361830532914264793385786294562791742430324953281897416679581792755421949085537456863579161516689959303595912198078724282202981009898009690567070136678657724103022478161967141349953687181859667502852717529739502462355633900275605124818004592097597476023500763938406467669803447462539349801650509350916723885384637032547582165019712478543595320077868528276189558873732146559957182795050551550011221984924252907709472691195130559966295068565313838243536682438935816420379070267017482484062117954237684835525940689268125075431255174482633991435467202206272214989062190947890432412723255727334091179485318234683986866852570643831460784762129495012372268981205445667522288706405730601873935614193416570959158083610715615290738261395508900903129139819639873573071192593020000660129690470611207484056530660504277256710341105185013016992494681050208995708319862103659612556618774032671018970988562330151851011633127320395727282245021284364760750431437725542244162767508623156165724979959373355803521733321410146064209077056454025925491655070565013052708925627595921401662393825824021365750095264261262999338322364629372256141569309340512931220923226433903778223080368502046727114548753641168291962251183761770292343251300628948599568989457462326533742769703947264295390640861329472581395287641012456878832335366148762786882125970250120685403078784758226817445581017894019785824021411196801978298268844375884280406002754446663793211990408164217550789019766756810941418617578470995145874008133186083865086109094564002465625271376369056815358752192579782751728110109744874719475666532947279048737703710175665106014695106816784824399893038945763808225231443396539533692869501072314597372921077155039298190373070823980458024332278006772096098073637596528027095646314237394329995526148081351624731637228886718661842014545388276723216684617317409704469636320313184365151289047610643685779612372135021669500634947450123844}
23489 119916093226492315412476874361788282220850648108425221141122230269395024220475: {915447,1291015,1549218,2300354,3286220,3776899,3943464,4337695,4436397,4694600,4902931,5184439,5205234,5281425,5395570,5633520,6009088,6209215,6337710,6474684,6760224,7451058,7605252,7844695,7995427,8773666,8839519,9413634,10246339,12113827,12480188,13204615,13486647,13594819,14831695,14959186,15712807,15845538,15858284,16331407,17616415,17798034,17828840,17960839,18311695,18335554,18484879,19006615,19286679,19421170,19699347,19705471,20057445,20164015,20333731,20351996,21139698,21394608,21759447,21974034,22244815,22332968,22475815,22807938,23305404,23580919,24068934,24196818,24336319,25124589,26195858,26406970,26693778,26837096,26970978,27087415,27507667,28019431,29038159,29074280,29200999,29763007,29846695,29910225,29945847,30191733,30395266,30835196,31140067,31565251,31572759,31688364,31904240,32504898,32506279,32600215,32708565,32829415,32943986,33857468,34766170,34889136,35664146,35685331,35816034,35892270,36028947,36034015,36057859,36719695,38077928,38285088,38746147,39120258,39250278,39395298,39996236,40128007,40275367,40826215,40919119,41392831,41566759,41719404,42197434,42419695,42578085,42796771,42822307,42837669,43070724,43240818,44050280,44063634,44331452,44485810,44830149,44845111,45184399,45416624,45636367,45827695,45885439,46384327,47289379,47560639,48446679,48547615,48991458,49556565,49679215,49954892,50147479,50627554,50903634,50948780,50957731,50997225,51035815,51093702,51758588,52136239,52408119,52616695,52860336,53293615,53369225,53382972,53592339,53744695,54212119,54397040,54993234,55010626,55135879,55685626,56085224,56447815,56485186,57137480,58057747,58090771,58257138,58555999,58952396,59467878,59615058,59617519,59818615,59865007,60043015,60320551,60587048,60735799,61138536,61196670,61242978,61928419,62060815,62217219,62587538,62732695,63095877,63140034,63222005,63385239,63952338,64043070,64129747,64279665,64475071,64493634,64522615,64788367,65194810,65276448,66021751,66086695,66825212,67643779,67737378,67943770,68160429,68173219,68312608,68564976,68675431,68736626,68780853,69431695,69581847,69767359,69967299,70019516,70099615,70343746,70693447,70880599,71322188,71443939,71666407,71701927,71766199,71782338,72051618,72101215,73130767,73436004,73940840,74288767,74472978,74542706,74576419,74958519,75279234,75692191,75866406,76241750,76378399,76465906,76577239,76759015,76851684,77129059,77135598,77201695,77369768,77427138,77989027,78233772,79212691,79254307,79304034,79854415,80071378,80179039,80249146,81051447,81354451,81532524,81852799,82983319,83183445,83318034,83382415,83738767,84105031,84119538,84479491,84482815,84539048,85935439,86021695,86145506,86337399,86521458,87040989,88054946,88214979,88291027,88469170,88729008,88822604,88981365,89312695,89387239,89737594,89981234,90179746,90317150,90835388,91490100,91743586,91906514,92110818,92554810,92642034,92682847,94006951,94186947,94730947,94913456,95106429,95438239,95671299,95825298,96299731,96412179,96633970,97580359,97589440,97609615,97795759,97891347,98195180,98260599,98626556,98792018,99044287,99597554,99820134,...,4823176955948695916513705099217023409127273557457059351823752431277031914461538752104536412406398202811445732573907960980586551999527319939675741269217180928938912969736529476012327999861480402732307994893463921038394032988311154519862721029559340179519818727636513264377349852992992304790130029946719711381107926832860992746056562811234453750711503287209109630008193574314657048556068966732060041362203651883314269777127350799149471841969151154391970991224114922858604832847913903710622730761390427653760570690499799374686757714120956185695262875820870425908694744378423619516170745159711424575912475962664815503371670525404761338574995294582051361884469757766412777623859087283833250574634015197259837185262201092149358217416398738009572990003239882275145200999921829072474859120692765033439467795334206662527685212547064660190689153250589169657752078670571532173244479944764596398694874170456712182833826956601138906652573169334112662760677187855942214142544423713758542408569605901195120756381292537710998759332711488499184048078742988535880472441030595350499407835974440596288566478374804988826393366702574674396321978142513711512347202859017156648683105699705305827042099904483288568466146662653924236304105608467732183015743786890775510382089344632295530603245371999360888718141677501929357149849737019571207736063922231724814983313745916425295265511021018258945297766325630655457256264331883935854921792503389714122196685931177197848308204692606798984558494982340513529758739351166398458831054103528236739511877372596197105262407241556617646421654472607797013132389407594300331514634444883767409004650424778115848471927586995495697858894530590905067334328550155051430230591014452865849593200299991844378654959010867117759439123867374496248483371245539768116633069597414058202296920460300223784770697347565959857722615026526042745799371397190078679441844187613645487429922846125019372689133132923628306185295368742275034938955393868297118086423304471514847014535850605205017986586154533717242950712024930530772789501254279076294609253693533450850413407687227006888146396214035251145907609701504705171193809024702475764026375085828076955548821373247529568717815392980116802792414284338310598219839935774192575827325016832977386379361564209036792695839949442602847970757365305023658403724630568605400526223726093176931356527253288911033902187613146882761723950987153200803309408322483593286421835648619084883591001136769227977352025980300278855965747191177143194242518558403471808168501283433059608595902810903421290124856438737125416073422936107392093263351354693709729459810359606788889530000990194535705916811226084795990756415885065511657777519525488742021575313493562479793155489418834928161049006528456482843495227776517449690980593590923367531926547141125647156588313366244151262934734248587469939060033705282599982115219096313615584681038888237482605847519579063388441393882102493590738736032048625142896391894499007483546944058384212353964010769396831384839650855667334620552753070090671823130461752437943376775642655438514876950943422899353484186193489800614154555920896443085961291994208872092931461518685318248503049223144180323188955375181028104618177137340226168371526841029678736032116795202967447403266563826420609004131669995689817985612246326326183529650135216412127926367706492718811012199779125797629163641846003698437907064553585223038128288869674127592165164617312079213499799420918573106555565263497659022042660225177236599839558418645712337847165094809300539304251608471896059381615732558947285559606235970687036498417010158144147110456394792040643469471356091494993289222122027437097455843330077992763021818082415084825026925976114556704454480469776547726933571415965528669418558202532504250952421175185766}
23490 120341906318259929811532126788267307628794091044019428202565415415165923661885: {399041,727229,1008221,1220596,1360622,1382429,1709441,1922654,2065624,2323827,3325214,3450531,3524189,3663281,3802301,4107775,4165022,4172669,4496321,4588721,4634909,4911869,4929330,5257952,5556989,5868250,5915196,6108701,6119534,6521729,6796721,6940312,6955022,7041900,7345841,7511360,7665629,7789214,7807851,8030621,8093355,8304029,8450280,8622641,8632912,8899454,9013632,9176654,9440129,9506565,9666749,9712026,9934744,9938429,9983681,10140336,10345409,10616369,10661501,11022269,11176587,11202461,11407878,12549821,12551512,13042049,13160499,14023601,14120451,14157149,14424029,15355841,15577181,15600235,16812989,17076989,17472449,17560241,17971022,17982196,18392669,18515774,18611249,18720282,19004189,19309361,19541347,19822855,19831601,19875134,20689022,20742749,21127384,21218609,21230894,21348221,21501614,22286050,22438779,22683329,22940849,23482459,23540609,23730712,23768307,23787426,24479921,24820529,25118141,25439995,25715572,26265796,26473661,26697051,26743260,26885774,27022001,27106241,27400829,27503331,27916210,28186264,28222814,28526144,28784321,28867889,29012596,29131755,29243549,29298712,30117569,30242141,30410584,30527994,30532529,30886094,30905309,31073872,31401341,31483901,31709547,31731389,31947374,31978589,32019761,32091912,32143229,32262424,32718461,32741822,32841521,32961051,32964509,33318187,33499452,33546370,34068161,34211907,34590494,34597469,34958106,34963121,35206529,35409149,35571101,35591704,35961304,36103401,36169454,36295227,36342850,36419249,36694622,37504541,37704881,38104961,38543995,38584001,38823089,39293787,39610455,39739546,39880300,39927796,40040667,40255644,40456467,40488641,40567601,40607069,40804289,41040689,41276801,41630429,41669681,42097012,42251152,42321835,42453041,42692654,42726461,42921521,42960509,43038461,43339864,43611420,43986494,44590781,44706689,44899709,45131069,45169601,45592899,45746621,45791822,46252794,46518848,46971581,47086001,47238449,47532546,47597410,47657021,47754712,47856360,48038596,48150449,48680321,48757347,48870254,48944669,49074571,49125854,49359281,49415979,49509809,49622621,49697789,49995295,50297981,50410289,50786202,51045341,51046784,51715229,51863741,51975041,52049201,52149255,52160344,52333704,52527064,52689134,53013667,53047229,53268221,53415389,53496219,53724051,53838405,54149309,54185921,54207614,54624641,54712622,54916481,55062850,55414315,55625872,55825181,55972622,56476349,56692829,56770780,56873009,57116892,57427632,57654424,57878321,58680387,58751512,58841789,58875417,59092947,59339069,59657921,59773532,59994354,60187901,60399389,60716081,60926849,61662269,62218622,62324609,62443615,62579106,62845469,62914781,63296151,63571649,63685975,63705499,63847361,63951374,64294301,64362941,64595572,64606086,64698235,64861227,64979261,65286449,65321944,65422769,65898881,65932829,66075420,66095451,66136349,66414494,66497178,66728715,66745181,66846401,67115969,67351421,67363231,67418621,67653569,67698547,67854641,67871512,67996300,68122289,68124936,68374622,69320369,69419741,69452849,69877492,69948509,70106530,70146269,70245041,70325534,70409501,70442369,70480448,70639409,71130749,71177296,71421850,71456452,71540174,71978141,72205361,72751214,72755549,72852401,73174721,73324312,73487187,73656701,73690495,73848989,73971667,74710721,74869661,74922014,74932338,75733810,75941331,76102529,76355451,76423170,76510781,76640553,76698749,76886429,77136221,77559374,77637882,77676184,77789489,77975489,78068381,78161201,78253949,78284849,78377501,78716609,78839681,79085441,79290504,79483709,79486744,79667069,80074458,80367281,80890814,81033089,81127694,81274241,81484829,81518048,81595560,81601022,81635009,81657304,81814961,81904829,82073774,82084349,82263581,82489851,82515939,82918301,82956292,83049274,83244209,83253134,83528439,83531515,84127836,84128129,84186712,84304049,84513652,84727779,85179329,85269784,85390760,85701041,85706220,85835054,85991512,86765309,87035264,87193649,87385707,87524395,87620189,88355261,88428594,88631822,88776881,89095934,89140829,89152735,89201817,89327774,89422587,89559089,89698109,90253694,90316504,90880572,91132061,91407854,91419968,91596161,91707804,91786589,91795005,91864467,92003741,92030849,92085041,92274461,92426050,92571329,92775796,92974589,93135389,93289732,93482801,93881307,94041149,94710051,94832669,94866562,94963889,95538881,95590961,95709784,95902769,95928507,96058241,96064605,96068824,96135869,96216014,96522929,96712210,96740451,97010621,97351454,97597121,97792215,97804622,97850801,97914672,98078429,98204609,98229821,98305409,98657201,98738234,98935022,98957489,98982461,99181949,99297304,99331229,99802049,99944692,99950129,...,7234765433923043874770557648825535113690910336185589027735628646915547871692308128156804618609597304217168598860861941470879827999290979909513611903825771393408369454604794214018491999792220604098461992340195881557591049482466731779794081544339010269279728091454769896566024779489488457185195044920079567071661890249291489119084844216851680626067254930813664445012290361471985572834103450098090062043305477824971404665691026198724207762953726731587956486836172384287907249271870855565934096142085641480640856035749699062030136571181434278542894313731305638863042116567635429274256117739567136863868713943997223255057505788107142007862492941873077042826704636649619166435788630925749875861951022795889755777893301638224037326124598107014359485004859823412717801499882743608712288681039147550159201693001309993791527818820596990286033729875883754486628118005857298259866719917146894598042311255685068274250740434901708359978859754001168994141015781783913321213816635570637813612854408851792681134571938806566498138999067232748776072118114482803820708661545893025749111753961660894432849717562207483239590050053862011594482967213770567268520804288525734973024658549557958740563149856724932852699219993980886354456158412701598274523615680336163265573134016948443295904868057999041333077212516252894035724774605529356811604095883347587222474970618874637942898266531527388417946649488445983185884396497825903782382688755084571183295028896765796772462307038910198476837742473510770294638109026749597688246581155292355109267816058894295657893610862334926469632481708911695519698584111391450497271951667325651113506975637167173772707891380493243546788341795886357601001492825232577145345886521679298774389800449987766567982438516300676639158685801061744372725056868309652174949604396121087303445380690450335677156046021348939786583922539789064118699057095785118019162766281420468231144884269187529059033699699385442459277943053113412552408433090802445677129634956707272270521803775907807526979879231800575864426068037395796159184251881418614441913880540300176275620111530840510332219594321052876718861414552257057756790713537053713646039562628742115433323232059871294353076723089470175204188621426507465897329759903661288863740987525249466079569042346313555189043759924163904271956136047957535487605586945852908100789335589139765397034790879933366550853281419720324142585926480729801204964112483725389929632753472928627325386501705153841966028038970450418283948620786765714791363777837605207712252751925149589412893854216355131935187284658105688124110134404161088139895027032040564594189715539410183334295001485291803558875216839127193986134623827598267486666279288233113032362970240343719689733234128252392241573509792684724265242841664776174536470890386385051297889820711688470734882470049366226894402101372881204908590050557923899973172828644470423377021558332356223908771279368595082662090823153740386108104048072937714344587841748511225320416087576318530946016154095247077259476283501001930829129605136007734695692628656915065163463983157772315426415134349030226279290234700921231833881344664628941937991313308139397192278027977372754573834716270484783433062771542156927265706010339252557290261544518104048175192804451171104899845739630913506197504993534726978418369489489275294475202824618191889551559739078216518299668688696443745462769005547656860596830377834557192433304511191388247746925968118820249699131377859659833347895246488533063990337765854899759337627968568506770747642213950808956377412707844089072423598838420928339409353956030554747625515237216220665684592188060965204207034137242489933833183041155646183764995116989144532727123622627237540388964171835056681720704664821590400357123948293004127837303798756376428631762778649}
23491 120769221571206150179710107816199168761438855501385386717010819566116604141441: {1525745,1807421,1830894,2040933,2582030,2883981,3098436,4600708,4987821,5794373,6072773,6247533,6572440,7393995,7553798,7886928,8675390,8692901,8802375,8872794,9179301,9389200,9449141,9805862,10368878,10410468,10432533,10562850,10791140,10982573,11267040,11683821,12018176,12418430,12675420,12949368,13349181,13520448,13764981,14316341,14568039,14902116,15210504,15689390,15990854,17111817,17128061,17547332,17679038,18252749,18486461,18569681,18827268,19939781,20492678,20764373,21064469,22477745,24030773,24227654,24662981,24960376,25636373,26409230,26609261,26956533,26973294,27189638,27773661,28021829,28080423,28229621,29663390,29812701,29918372,31033533,31142741,31214861,31425614,31466141,31691076,31716568,31846341,32057873,32144465,32252421,32454413,32509061,32662814,32832245,33113873,33429075,35232830,35596068,35657680,35681139,35921678,36265745,36623390,36671108,36969758,37922381,38013230,38573358,38842340,39398694,39410942,40114890,40328030,40328661,40667462,40703992,40922621,41785373,41874315,42173573,42279396,42334221,42789216,43518894,43948068,44247509,44489630,44665936,44848949,44951630,45615876,45640301,45733133,45790901,45791991,45961181,46329141,46610808,47161838,47598161,47921061,48137868,48393636,48672638,49112733,49850375,49909745,50249178,50319555,50447621,50608181,51407573,51885741,52140701,52391716,52437159,52621265,52813940,53387556,53674192,53941956,54007349,54174830,54254181,54514275,54817841,55015334,55041933,56038862,57156701,58076318,58148560,58401998,58569269,59387573,59526014,59609319,59693390,59820450,59891694,60048245,60222773,60383466,60790532,61622453,61670392,62280134,63130502,63145518,63376728,63808480,64038981,64158773,64480589,64594781,65009796,65012558,65200430,65417130,65658830,65887972,65979741,66907949,67714936,67966661,68613701,68687733,69186029,69379191,69532340,69550901,69778272,70699541,70963475,71298819,71328292,71370662,71396115,71450141,71632068,71672561,71772341,71784540,72057894,72068030,72115718,72212261,73305381,73439390,73663373,73688781,74578901,74611061,74716915,75242573,75698669,75789701,76155856,76179303,76570176,77492294,78240516,78255221,78500556,78790596,79026941,79033701,79219493,79384493,79763981,79992472,80097749,80185901,80256014,80550734,80744465,81161873,81311421,81652430,81838238,82068933,82594275,82785662,82990421,83133518,83438808,83546801,83746061,83828273,83958933,84060221,84112229,84176021,84394868,84738641,84839390,84995375,85156170,85364093,85593542,85644614,85675338,85791101,86141448,86481636,86885141,86956049,87346865,87825773,88100560,88127268,88144541,88510807,88662904,88799909,88971620,89320565,89660298,89690222,89991531,90331661,90368798,90833248,91272734,91655390,91770878,91862021,92521373,92768654,93327933,93664181,93868659,94578758,95121278,95927061,96893358,96909129,97095230,97204373,97982916,98139461,99113130,99358430,99621741,99745767,99909784,...,9646353911897391833027410198434046818254547114914118703647504862554063828923077504209072824812796405622891465147815921961173103999054639879351482538434361857877825939473058952024655999722960805464615989786927842076788065976622309039725442059118680359039637455273026528754699705985984609580260059893439422762215853665721985492113125622468907501423006574418219260016387148629314097112137933464120082724407303766628539554254701598298943683938302308783941982448229845717209665695827807421245461522780855307521141380999598749373515428241912371390525751641740851817389488756847239032341490319422849151824951925329631006743341050809522677149990589164102723768939515532825555247718174567666501149268030394519674370524402184298716434832797476019145980006479764550290401999843658144949718241385530066878935590668413325055370425094129320381378306501178339315504157341143064346488959889529192797389748340913424365667653913202277813305146338668225325521354375711884428285088847427517084817139211802390241512762585075421997518665422976998368096157485977071760944882061190700998815671948881192577132956749609977652786733405149348792643956285027423024694405718034313297366211399410611654084199808966577136932293325307848472608211216935464366031487573781551020764178689264591061206490743998721777436283355003858714299699474039142415472127844463449629966627491832850590531022042036517890595532651261310914512528663767871709843585006779428244393371862354395696616409385213597969116989964681027059517478702332796917662108207056473479023754745192394210524814483113235292843308945215594026264778815188600663029268889767534818009300849556231696943855173990991395717789061181810134668657100310102860461182028905731699186400599983688757309918021734235518878247734748992496966742491079536233266139194828116404593840920600447569541394695131919715445230053052085491598742794380157358883688375227290974859845692250038745378266265847256612370590737484550069877910787736594236172846608943029694029071701210410035973172309067434485901424049861061545579002508558152589218507387066901700826815374454013776292792428070502291815219403009410342387618049404951528052750171656153911097642746495059137435630785960233605584828568676621196439679871548385151654650033665954772758723128418073585391679898885205695941514730610047316807449261137210801052447452186353862713054506577822067804375226293765523447901974306401606618816644967186572843671297238169767182002273538455954704051960600557711931494382354286388485037116806943616337002566866119217191805621806842580249712877474250832146845872214784186526702709387419458919620719213577779060001980389071411833622452169591981512831770131023315555039050977484043150626987124959586310978837669856322098013056912965686990455553034899381961187181846735063853094282251294313176626732488302525869468497174939878120067410565199964230438192627231169362077776474965211695039158126776882787764204987181477472064097250285792783788998014967093888116768424707928021538793662769679301711334669241105506140181343646260923504875886753551285310877029753901886845798706968372386979601228309111841792886171922583988417744185862923037370636497006098446288360646377910750362056209236354274680452336743053682059357472064233590405934894806533127652841218008263339991379635971224492652652367059300270432824255852735412985437622024399558251595258327283692007396875814129107170446076256577739348255184330329234624158426999598841837146213111130526995318044085320450354473199679116837291424675694330189618601078608503216943792118763231465117894571119212471941374072996834020316288294220912789584081286938942712182989986578444244054874194911686660155985526043636164830169650053851952229113408908960939553095453867142831931057338837116405065008501904842350371532}
23492 121198044249956291286401863934170502520028586189676609752858873788796333387363: {445987,798082,1429291,1454458,2016442,2441192,2721244,2746341,2764858,3418882,3845308,3873045,4131248,4219291,4635307,4647654,5188987,5603491,5750885,6568147,6650428,6901062,7048378,7326562,7604602,8076907,8215550,8330044,8345338,8992642,9177442,9269818,9712891,9823738,9858660,9984547,10120267,10515904,10662427,11113978,11330697,11473507,11736500,11830392,12217402,12239068,13013085,13043458,13087891,13309191,13488925,13593442,13880624,13910044,14083800,14425291,14691682,14708793,15022720,15331258,15553317,15578428,15615702,15844275,16061242,16153147,16186710,16608058,16900560,17078491,17245282,17265824,17798908,18027264,18353308,18627645,18656587,18880258,19013130,19311067,19333498,19424052,19869488,19876858,19967362,20280672,20690818,20744587,21232738,21323002,21840329,21934165,22044538,22298491,22353174,22404922,22685347,22815756,23328667,23534085,23585491,23986281,25099642,25103024,25120387,26084098,26320998,26518557,26771491,27024427,27751997,28047202,28240902,28314298,28848058,28912267,29287891,30535291,30711682,30739017,30908107,31154362,31200470,31223929,31528027,32022667,32762467,33622291,33625978,33989707,34153978,34944898,35120482,35452891,35615993,35942044,35964392,36341481,36785338,36905707,37031548,37222498,37397965,37440564,37868491,38008378,38108467,38618722,39082694,39613845,39645710,39661291,39663202,39750268,40459941,40610827,40784457,41378044,41485498,41673547,42254768,42437218,42461788,42696442,42847507,42964507,43003228,43198291,44495085,44572100,44877558,45173827,45366658,45838885,45881698,46441027,46964918,47081218,47138421,47461424,47536614,47574852,48382291,48552925,48959842,48994221,49641058,50077891,50236282,50879990,51431144,51979987,52531592,52849245,52947322,53394102,53486520,53771548,53882517,53961593,54044002,54191107,54212482,54801658,54935085,55006662,55454637,55830547,55832420,56372528,56445628,56481787,57019845,57022507,57052288,57568642,57735778,57860037,58025192,58263510,58487098,58597424,58847491,59098041,59116413,59250569,60172335,60235138,60484282,60492045,60821168,60967891,61001193,61055988,61065058,61772188,61810618,62147744,62330707,62539291,62802682,62967802,63419094,63462778,63894748,63957178,64039522,64183824,64286458,64403587,64524848,65253001,65278341,65436922,65483644,65489645,65683042,65922102,65929018,65939347,66017425,66636374,66734445,66954187,66998904,67092740,67156291,67358107,67427445,68136322,68162491,68423814,69180988,69194938,69360427,69459787,69916212,69926242,69955507,69993413,70413058,70449427,70742757,70818298,71142202,71183408,71922608,72115291,72206802,72338908,72590454,72685700,72795187,72838498,73008957,73085491,73389244,73760347,73856467,74538013,74718307,75009082,75288317,75373767,75409762,75988165,76209922,76236067,77087990,77168002,77580041,77646178,78014467,78292891,78587574,78755491,79220910,79479092,79675291,79760600,79855592,80081334,80405947,80511288,80912934,80977282,81135202,81214138,81262245,81312787,81608578,81673507,81943291,82081378,82122787,82359965,82523001,82553602,83260858,83339362,84058293,84194024,84342187,84502304,84605491,84643670,84906082,85217347,85385308,85452922,85652227,85738987,85843042,85921018,86076922,86679728,86915425,87114477,87222840,87421061,87602997,87972988,89160365,89181562,89289021,89413378,89540085,89730675,89735491,89799418,89837541,89902027,90151291,90262138,90339202,90575199,90577529,91185798,91223947,91493242,91583644,91796491,92040787,92446507,92505588,92608291,93037696,93252547,93420201,93943162,93971827,94172002,94476898,94695753,94718277,94843027,95065092,95194820,95314042,95509424,95712720,96077192,96172291,96300898,96713587,97360642,97514694,97518837,97740508,97800645,97889338,98089291,98125695,98149142,98240707,98251708,98316307,98488245,98693227,98718562,98831958,98993467,99019618,99217891,99245242,99395578,99739027,99813187,99961291,99990590,...,14469530867846087749541115297651070227381820672371178055471257293831095743384616256313609237219194608434337197721723882941759655998581959819027223807651542786816738909209588428036983999584441208196923984680391763115182098964933463559588163088678020538559456182909539793132049558978976914370390089840159134143323780498582978238169688433703361252134509861627328890024580722943971145668206900196180124086610955649942809331382052397448415525907453463175912973672344768575814498543741711131868192284171282961281712071499398124060273142362868557085788627462611277726084233135270858548512235479134273727737427887994446510115011576214284015724985883746154085653409273299238332871577261851499751723902045591779511555786603276448074652249196214028718970009719646825435602999765487217424577362078295100318403386002619987583055637641193980572067459751767508973256236011714596519733439834293789196084622511370136548501480869803416719957719508002337988282031563567826642427633271141275627225708817703585362269143877613132996277998134465497552144236228965607641417323091786051498223507923321788865699435124414966479180100107724023188965934427541134537041608577051469946049317099115917481126299713449865705398439987961772708912316825403196549047231360672326531146268033896886591809736115998082666154425032505788071449549211058713623208191766695174444949941237749275885796533063054776835893298976891966371768792995651807564765377510169142366590057793531593544924614077820396953675484947021540589276218053499195376493162310584710218535632117788591315787221724669852939264963417823391039397168222782900994543903334651302227013951274334347545415782760986487093576683591772715202002985650465154290691773043358597548779600899975533135964877032601353278317371602123488745450113736619304349899208792242174606890761380900671354312092042697879573167845079578128237398114191570236038325532562840936462289768538375058118067399398770884918555886106226825104816866181604891354259269913414544541043607551815615053959758463601151728852136074791592318368503762837228883827761080600352551240223061681020664439188642105753437722829104514115513581427074107427292079125257484230866646464119742588706153446178940350408377242853014931794659519807322577727481975050498932159138084692627110378087519848327808543912272095915070975211173891705816201578671178279530794069581759866733101706562839440648285171852961459602409928224967450779859265506945857254650773003410307683932056077940900836567897241573531429582727555675210415424505503850299178825787708432710263870374569316211376248220268808322176279790054064081129188379431078820366668590002970583607117750433678254387972269247655196534973332558576466226064725940480687439379466468256504784483147019585369448530485683329552349072941780772770102595779641423376941469764940098732453788804202745762409817180101115847799946345657288940846754043116664712447817542558737190165324181646307480772216208096145875428689175683497022450640832175152637061892032308190494154518952567002003861658259210272015469391385257313830130326927966315544630852830268698060452558580469401842463667762689329257883875982626616278794384556055954745509147669432540969566866125543084313854531412020678505114580523089036208096350385608902342209799691479261827012395009987069453956836738978978550588950405649236383779103119478156433036599337377392887490925538011095313721193660755669114384866609022382776495493851936237640499398262755719319666695790492977066127980675531709799518675255937137013541495284427901617912754825415688178144847197676841856678818707912061109495251030474432441331369184376121930408414068274484979867666366082311292367529990233978289065454247245254475080777928343670113363441409329643180800714247896586008255674607597512752857263525557298}
23493 121628379637465957894322058076071410522962244066591452585622309297735523918939: {1197123,2136043,2181687,3024663,3051490,3401555,3614842,3661788,4081866,4147287,4806635,5128323,5164060,5767962,5935127,6196872,6779651,6971481,8313035,9201416,9975642,10351593,10412555,10572567,10989843,11406903,11559371,11588746,12145546,12323325,12403463,12495066,12518007,13144880,13488963,13766163,13904727,14670625,14735607,14787990,15107596,15298835,15773856,16670967,17350780,17385802,17387555,17604750,17745588,18326103,18358602,18778400,18898282,19143127,19473035,19565187,19611724,20390163,20737756,20820936,20865066,21125700,21363287,21582280,21965146,22037523,22248635,22517191,22534080,22941635,22996887,23367642,23423553,23487251,24036352,24091863,24280065,24836860,24912087,25350840,25867923,25898736,26698362,27040896,27529962,28320387,28519695,28545323,28632682,29000247,29047667,29136078,29804232,29815287,29951043,30421008,31036227,31378780,31468843,31849107,31917371,31981708,31984503,33066807,33116707,33529761,33607383,34223634,34256122,35094664,35358076,36505498,36972922,37139362,37649463,37654536,38210567,38242787,39126147,39481497,39879562,40985356,41528746,42070803,42128938,42361353,42471447,42508211,43272087,44927555,44955490,45002251,45737047,45965143,46067523,46289435,46731543,46800705,48061546,48455308,48934391,49325962,49687835,49920752,50438967,50772043,50846027,51230967,51272746,51688391,51722555,52417347,52680723,52818460,53077235,53218522,53754035,53913066,53946588,54286187,54356531,54379276,55178007,55547322,55715125,55833747,56043658,56160846,56459242,57012567,57928083,58624041,59087291,59326780,59468565,59494803,59625402,59836744,60704843,62067066,62228247,62285482,62429722,62851228,62932282,63382152,63433136,63655827,63692682,63826867,64044663,64115746,64288930,64504842,64908826,65018122,65325628,65664490,66227746,66858150,67214435,67316337,68049987,68822547,69218227,69790525,69873643,70320407,70447377,70465660,70557035,70621827,70892771,71192136,71304921,71315360,71362278,71714291,71843356,72194167,72476771,72531490,73246780,73342216,73439763,73522283,73669771,73939516,74461587,74738147,75354423,75844762,76026460,76319985,77146716,77215235,77684680,77961371,78797388,78821884,79391287,79420983,79524707,79868435,79921067,80091153,80104627,80229780,80656060,80657322,81066003,81318723,81334924,81407984,81765307,81845242,81854555,82202487,82509993,83554003,83570746,83748630,83865925,84067543,84347146,84558792,84668442,85341763,85578432,86352963,86476235,86603667,86963491,87037788,87395265,87730647,87896136,87937547,88495018,88642067,88979260,89331872,89697898,89903260,90352707,90423635,90726423,90857125,91231752,91280602,91466266,91581802,91583982,91597587,91736555,91922362,92483443,92658282,92678171,92698763,92715927,93221616,94204023,94266523,94323676,94451703,95128641,95194167,95196322,95842122,95889047,95935767,96059283,96275736,96429687,96787272,97316087,97345276,97702331,98155383,98225466,98514487,98524563,98883153,98893527,99348865,99700750,99819490,99954561,...,21704296301769131624311672946476605341072731008556767083206885940746643615076924384470413855828791912651505796582585824412639483997872939728540835711477314180225108363814382642055475999376661812295385977020587644672773148447400195339382244633017030807839184274364309689698074338468465371555585134760238701214985670747874467357254532650555041878201764792440993335036871084415956718502310350294270186129916433474914213997073078596172623288861180194763869460508517152863721747815612566697802288426256924441922568107249097186090409713544302835628682941193916916589126349702906287822768353218701410591606141831991669765172517364321426023587478825619231128480113909948857499307365892777249627585853068387669267333679904914672111978373794321043078455014579470238153404499648230826136866043117442650477605079003929981374583456461790970858101189627651263459884354017571894779600159751440683794126933767055204822752221304705125079936579262003506982423047345351739963641449906711913440838563226555378043403715816419699494416997201698246328216354343448411462125984637679077247335261884982683298549152686622449718770150161586034783448901641311701805562412865577204919073975648673876221689449570174798558097659981942659063368475238104794823570847041008489796719402050845329887714604173997123999231637548758682107174323816588070434812287650042761667424911856623913828694799594582165253839948465337949557653189493477711347148066265253713549885086690297390317386921116730595430513227420532310883914327080248793064739743465877065327803448176682886973680832587004779408897445126735086559095752334174351491815855001976953340520926911501521318123674141479730640365025387659072803004478475697731436037659565037896323169401349963299703947315548902029917476057403185233118175170604928956524848813188363261910336142071351007031468138064046819359751767619367192356097171287355354057488298844261404693434652807562587177101099098156327377833829159340237657225299272407337031388904870121816811565411327723422580939637695401727593278204112187388477552755644255843325741641620900528826860334592521530996658782963158630156584243656771173270372140611161140938118687886226346299969696179613883059230169268410525612565864279522397691989279710983866591222962575748398238707127038940665567131279772491712815868408143872606462816760837558724302368006767419296191104372639800099652559844259160972427757779442189403614892337451176169788898260418785881976159505115461525898084116911351254851845862360297144374091333512815623136758255775448768238681562649065395805561853974317064372330403212483264419685081096121693782569146618230550002885004455875410676625650517381581958403871482794802459998837864699339097088910721031159069199702384757176724720529378054172795728524994328523609412671159155153893669462135065412204647410148098680683206304118643614725770151673771699919518485933411270131064674997068671726313838105785247986272469461221158324312144218813143033763525245533675961248262728955592838048462285741231778428850503005792487388815408023204087077885970745195490391949473316946279245403047090678837870704102763695501644033993886825813973939924418191576834083932118263721504148811454350299188314626470781797118031017757671870784633554312144525578413353513314699537218892740518592514980604180935255108468467825883425608473854575668654679217234649554899006066089331236388307016642970581790491133503671577299913533574164743240777904356460749097394133578979500043685739465599191971013297564699278012883905705520312242926641852426869132238123532267217270796515262785018228061868091664242876545711648661997053776564182895612621102411727469801499549123466938551294985350967433598181370867881712621166892515505170045162113994464771201071371844879012383511911396269129285895288335947}
23494 122060233035084449213101637308135735717390662901569612717537453884112064591955: {891974,1102009,1596164,2858582,2908916,3199909,3895609,4032884,4034533,4577235,4589509,4882384,5422263,5442488,5492682,5529716,6122799,6455075,6797893,6837764,7690616,7746090,8051239,8262496,8438582,8651943,9270614,9295308,9940153,10377974,10753609,11206982,11294473,11501770,11968933,12775909,13136294,13300856,13446409,13580293,13802124,14096756,14115109,14648773,14653124,14963463,15209204,15447109,15579913,16153814,16431100,16660088,16690676,16903993,17383119,17563333,17985284,18089509,18218319,18354884,18539636,18742599,18884495,19399909,19425782,19647476,19717320,19922053,19969094,20240534,21031808,21324854,21481573,21688475,22128313,22181985,22227956,22661394,22773253,22947014,23473000,23660784,23801413,24434804,24478136,24514655,24569509,24697273,25716793,25922195,26026170,26078703,26086916,26175782,26407125,26478409,26618382,26977850,27111109,27186884,27237433,27537903,27761248,27820088,28167600,28347423,28850582,28873093,29383364,29417586,30045440,30123013,30662516,30707831,31046075,31106634,31156856,31231404,31297599,31489609,31688550,32122484,32306294,32373420,32601253,32947719,33216116,33801120,34156982,34490564,34531648,34685113,35050693,35051463,35294053,35597816,36054528,36706616,36901007,37255290,37313174,37471333,37760516,38026260,38622134,38666996,38848104,39223475,39267913,39738976,39753716,39934724,39977135,39982009,40047543,40561344,40575109,41166409,41294943,41381636,41489174,41638153,42460933,42465476,42646004,42949023,43046473,43513609,43680658,43704117,43868330,44089076,44197595,44596982,44676409,44706348,44809844,45139513,45370694,45631512,45947173,46657334,47068170,47170982,47972562,48121609,48235333,49707193,50199284,50206048,50240774,50494693,51231695,51335451,51384183,52059109,52168196,52357151,52641996,53037114,53057353,53542982,54048854,54159673,54708133,54758247,55459383,55503994,55709043,55908409,56094404,56481804,56628596,56883973,57531109,57696116,57824534,57961093,58575782,59819343,60569135,61070582,61423364,61478034,61674313,61816214,62293119,62308724,62400940,62447858,62927113,63056054,63193407,63859909,64045334,64174439,64375609,65524934,66023075,67244582,67251956,67432009,67433235,67834633,67974095,67979414,68307956,69889796,70240964,70522213,70905782,70915909,71231986,71308453,71884088,71928784,72092319,72682962,73253893,73570676,73811414,73988943,74063096,74158475,74311609,74444996,74789509,74795930,74881128,75360613,75736982,76016756,76216934,76589113,76683109,76777033,76909119,77117183,77237444,78165388,78564035,79101733,79227690,79291420,79322582,79326404,79377673,79500536,79827783,80869599,80919882,81221654,81568914,81657035,82280713,82756088,82970996,83083909,83307191,83320983,83347094,83616133,84065487,84241269,84321733,84509536,84688863,84847909,84874436,84923576,84935353,85197253,85371493,85392884,85695014,85929014,86006456,86152009,86396582,86669113,88082075,88090379,88204873,88627333,88990170,89047993,89144200,89438103,89633893,89755116,89804195,90347654,90733316,90795109,91558475,91677770,91685503,91763396,92104933,92424395,92882054,93100599,93155593,93428223,93556453,93644583,93929836,94162436,94276842,94398423,94511173,94922848,95033075,95073228,95149704,95539023,95611909,95923813,96173619,96433395,96466873,96757263,96764582,97083193,97105850,97363239,97527183,97919684,97923109,97988442,98496735,98527355,99054409,99282116,99341619,99873733,...,28939061735692175499082230595302140454763641344742356110942514587662191486769232512627218474438389216868674395443447765883519311997163919638054447615303085573633477818419176856073967999168882416393847969360783526230364197929866927119176326177356041077118912365819079586264099117957953828740780179680318268286647560997165956476339376867406722504269019723254657780049161445887942291336413800392360248173221911299885618662764104794896831051814906926351825947344689537151628997087483422263736384568342565922563424142998796248120546284725737114171577254925222555452168466270541717097024470958268547455474855775988893020230023152428568031449971767492308171306818546598476665743154523702999503447804091183559023111573206552896149304498392428057437940019439293650871205999530974434849154724156590200636806772005239975166111275282387961144134919503535017946512472023429193039466879668587578392169245022740273097002961739606833439915439016004675976564063127135653284855266542282551254451417635407170724538287755226265992555996268930995104288472457931215282834646183572102996447015846643577731398870248829932958360200215448046377931868855082269074083217154102939892098634198231834962252599426899731410796879975923545417824633650806393098094462721344653062292536067793773183619472231996165332308850065011576142899098422117427246416383533390348889899882475498551771593066126109553671786597953783932743537585991303615129530755020338284733180115587063187089849228155640793907350969894043081178552436106998390752986324621169420437071264235577182631574443449339705878529926835646782078794336445565801989087806669302604454027902548668695090831565521972974187153367183545430404005971300930308581383546086717195097559201799951066271929754065202706556634743204246977490900227473238608699798417584484349213781522761801342708624184085395759146335690159156256474796228383140472076651065125681872924579537076750116236134798797541769837111772212453650209633732363209782708518539826829089082087215103631230107919516927202303457704272149583184636737007525674457767655522161200705102480446123362041328878377284211506875445658209028231027162854148214854584158250514968461733292928239485177412306892357880700816754485706029863589319039614645155454963950100997864318276169385254220756175039696655617087824544191830141950422347783411632403157342356559061588139163519733466203413125678881296570343705922919204819856449934901559718531013891714509301546006820615367864112155881801673135794483147062859165455111350420830849011007700598357651575416865420527740749138632422752496440537616644352559580108128162258376758862157640733337180005941167214235500867356508775944538495310393069946665117152932452129451880961374878758932936513009568966294039170738897060971366659104698145883561545540205191559282846753882939529880197464907577608405491524819634360202231695599892691314577881693508086233329424895635085117474380330648363292614961544432416192291750857378351366994044901281664350305274123784064616380988309037905134004007723316518420544030938782770514627660260653855932631089261705660537396120905117160938803684927335525378658515767751965253232557588769112111909491018295338865081939133732251086168627709062824041357010229161046178072416192700771217804684419599382958523654024790019974138907913673477957957101177900811298472767558206238956312866073198674754785774981851076022190627442387321511338228769733218044765552990987703872475280998796525511438639333391580985954132255961351063419599037350511874274027082990568855803235825509650831376356289694395353683713357637415824122218990502060948864882662738368752243860816828136548969959735332732164622584735059980467956578130908494490508950161555856687340226726882818659286361601428495793172016511349215195025505714527051114596}
23495 122493609762618381232436446127428231513508310620202555995381900309536551980566: {1337961,1995205,2394246,2840233,3636145,4272086,4287873,4363374,4762177,5041105,6049326,6102980,6729289,6803110,6912145,7014241,7229684,7323576,7577257,8163732,8239023,8294574,8547205,9542929,9613270,10256646,10328120,11535924,11619135,11638249,11870254,12356569,12393744,12657873,12919297,13559302,13660273,13905921,13942962,14577577,15566961,16626070,16810473,17252655,17258329,17620945,18316405,18402832,18721369,19011505,19704441,19951284,20538875,20703186,20825110,20863345,21145134,21418369,21979686,22095433,22481605,22813806,22943605,23118742,23174545,23177492,24230721,24283429,24291092,24342577,24559345,24646650,24806926,24990132,25036014,25247521,26250457,26289760,26977926,27262249,27532326,27784945,27809454,29050153,29138673,29341250,29471214,29575980,29953641,30215192,30360801,30543505,30597670,31148089,31424857,31547712,31987281,32118289,32608645,32629729,33341934,33983605,33992091,34118569,34329061,34420521,34701560,34771604,34775110,35209500,35491176,35523589,36652206,36717204,36729205,37556800,37796564,38286254,38328145,38756113,38946070,39039255,39130374,39223448,39263673,39286921,39927573,40153105,40285729,40466775,40780326,41475512,41520145,41641872,41730132,41814553,42251400,42511849,42726574,43113205,43164560,43275873,43302757,43930292,44075046,44126379,44360833,44497270,45034382,45068160,45196021,45464257,45883270,45993774,46659951,46735284,46847106,46974502,47200645,47509177,47532825,48072704,48183726,48333745,48459441,48560130,48938593,49446793,49673720,49692145,49824174,49918405,50701680,51080017,51235473,51727045,51735846,51797472,53081845,53307505,53326321,53396724,54081792,54290833,55059924,55111345,55150057,55361161,55882935,55969761,56012305,56640774,57039390,57090646,57265364,57831553,57933201,58000494,58095334,58272156,59592313,59608464,59630574,59880409,59902086,60751417,60842016,62072454,62233761,62243749,62749105,62757560,62898577,62937686,63698214,63834742,63963416,63969006,64805209,65210245,65520987,65662729,65736997,65802495,66038737,66133614,66179929,66233414,66895473,67059522,67214766,68056041,68447268,68512244,69562969,69986001,70118005,70189328,70602255,70716152,70756473,70785745,71684869,71720473,71958843,72120145,72224713,72411577,73010996,73831477,73945844,74278724,74308129,74595601,75255649,75298926,75309072,75361161,76421134,76485574,76779205,76954117,77475169,77885905,78001175,78252294,78752857,78962994,79233097,79274833,79531513,79555671,79759124,80314473,80783329,80993833,81073281,81970712,83057492,83255991,83403961,84064945,84141606,84257876,84722706,84753253,84942894,85016422,85384945,85957537,86544174,86736801,86769097,87133297,87285109,87362245,87801205,87863673,87945073,88326901,89725609,89817673,89855110,89910980,90004502,90414661,91474094,91605873,91930286,91963345,92135046,92217051,92377657,92578870,92724321,92890789,93056245,93323329,93463086,93601410,93671787,94031137,94100209,94584081,94755313,95020945,95897281,96068001,96123092,96546805,96910616,96960433,97706735,97868782,98287401,98651924,98779849,99069769,99109609,99114275,99158005,99375670,99841504,...,43408592603538263248623345892953210682145462017113534166413771881493287230153848768940827711657583825303011593165171648825278967995745879457081671422954628360450216727628765284110951998753323624590771954041175289345546296894800390678764489266034061615678368548728619379396148676936930743111170269520477402429971341495748934714509065301110083756403529584881986670073742168831913437004620700588540372259832866949828427994146157192345246577722360389527738921017034305727443495631225133395604576852513848883845136214498194372180819427088605671257365882387833833178252699405812575645536706437402821183212283663983339530345034728642852047174957651238462256960227819897714998614731785554499255171706136775338534667359809829344223956747588642086156910029158940476306808999296461652273732086234885300955210158007859962749166912923581941716202379255302526919768708035143789559200319502881367588253867534110409645504442609410250159873158524007013964846094690703479927282899813423826881677126453110756086807431632839398988833994403396492656432708686896822924251969275358154494670523769965366597098305373244899437540300323172069566897803282623403611124825731154409838147951297347752443378899140349597116195319963885318126736950476209589647141694082016979593438804101690659775429208347994247998463275097517364214348647633176140869624575300085523334849823713247827657389599189164330507679896930675899115306378986955422694296132530507427099770173380594780634773842233461190861026454841064621767828654160497586129479486931754130655606896353365773947361665174009558817794890253470173118191504668348702983631710003953906681041853823003042636247348282959461280730050775318145606008956951395462872075319130075792646338802699926599407894631097804059834952114806370466236350341209857913049697626376726523820672284142702014062936276128093638719503535238734384712194342574710708114976597688522809386869305615125174354202198196312654755667658318680475314450598544814674062777809740243633623130822655446845161879275390803455186556408224374776955105511288511686651483283241801057653720669185043061993317565926317260313168487313542346540744281222322281876237375772452692599939392359227766118460338536821051225131728559044795383978559421967733182445925151496796477414254077881331134262559544983425631736816287745212925633521675117448604736013534838592382208745279600199305119688518321944855515558884378807229784674902352339577796520837571763952319010230923051796168233822702509703691724720594288748182667025631246273516511550897536477363125298130791611123707948634128744660806424966528839370162192243387565138293236461100005770008911750821353251301034763163916807742965589604919997675729398678194177821442062318138399404769514353449441058756108345591457049988657047218825342318310307787338924270130824409294820296197361366412608237287229451540303347543399839036971866822540262129349994137343452627676211570495972544938922442316648624288437626286067527050491067351922496525457911185676096924571482463556857701006011584974777630816046408174155771941490390980783898946633892558490806094181357675741408205527391003288067987773651627947879848836383153668167864236527443008297622908700598376629252941563594236062035515343741569267108624289051156826707026629399074437785481037185029961208361870510216936935651766851216947709151337309358434469299109798012132178662472776614033285941163580982267007343154599827067148329486481555808712921498194788267157959000087371478931198383942026595129398556025767811411040624485853283704853738264476247064534434541593030525570036456123736183328485753091423297323994107553128365791225242204823454939602999098246933877102589970701934867196362741735763425242333785031010340090324227988929542402142743689758024767023822792538258571790576671894}
23496 122928515158395527678593745596405799843089024909979294225480566558875878787055: {539879,867983,1783948,1849943,2204018,2269703,2967863,3192328,3246623,3591369,3664223,3803279,4636103,5282063,5717164,5817832,6248063,6399818,6408129,6545061,6798479,7119023,7628725,7791218,7804583,8065768,8069066,8169479,8761343,9037105,9073989,9154470,9170303,9179018,9442583,9764768,9986279,10122023,10204665,10212479,10528823,10754543,10844526,10884976,10985364,11025143,11059432,11565479,12014879,12245598,12441861,12910150,13595786,13675528,14160863,14419905,14694479,15381232,15384969,15492180,16102478,16155983,16376663,16524992,16553063,16877164,17213423,17303886,17477063,17805381,17871983,18091103,18541228,18590616,18747263,19314479,19401623,19445183,19836863,19880306,19967279,20338953,20755948,20914443,20964743,21353903,21483479,21507218,22413964,22588946,22775279,23003540,23546903,23846279,23937866,24358583,24939105,25252343,25551818,25761479,26272588,26438293,26601712,26607479,26892818,27029279,27113543,27160586,27239879,27534383,27604248,27786503,28193512,28230218,28917479,28971865,29001023,29297546,29306248,29926926,30250343,30363865,30374879,30418408,30894218,31054779,31159826,31237665,31409879,31533743,31616279,31717701,32151983,32307628,32645279,32850479,32862200,32969529,32973503,33320176,33381352,33807986,34077479,34199783,34220709,34320517,34362743,34678113,34766238,35126666,35783183,35970568,36179018,36187223,36291073,36436638,36709768,36912479,36969975,36992903,37079272,37210389,37233983,37485198,37514879,37554021,37768990,38235383,38714279,38799818,38851564,39294952,39434640,39509879,39844106,39938188,39985703,40466889,40481068,40618343,41170223,41298489,41681279,41714181,42063616,42464879,42582143,42649708,42855479,42933503,42963146,43050479,43376950,43464505,43556543,43610281,44011875,44206821,44216279,44256626,44363970,44455912,44719223,44912303,45182279,45322788,45546506,45894028,45896505,46449743,46946000,47099279,47245705,47321568,47602826,48164063,48869608,48920783,48956272,49029310,49139018,49373279,49394546,49486223,49636703,49824623,50012901,50424623,51320783,51433586,51844390,51989879,52052340,52064063,52157406,52162665,52173832,52351564,52814250,52956818,53236764,53393903,53541023,53955700,54201479,54222218,54373768,54474866,54494183,54640343,54912865,54978309,55075806,55187303,55522496,55640176,55913783,55950023,55967989,56275823,56335200,56694846,57033503,57105479,57429381,57536663,57701164,57746186,57751823,58002479,58419105,58538279,58695561,58766728,58835172,58965623,59675303,59781479,60090880,60246026,60663479,60839279,61170489,61325032,61415662,61820063,61876633,62092150,62213268,62313712,62462808,62595198,62979218,63037223,63377100,63866183,64089861,64244968,64313279,64416263,64612588,64746840,65100983,65202506,65895438,66112569,66432232,66745905,66866279,66967463,67034879,67438703,67551573,67602240,67874879,68142623,68313964,68443223,68824905,68876279,68981128,68990661,69063296,69142103,69370226,69440543,69969503,70101386,70102926,70266143,70270659,70461753,70529279,70588106,70759103,70955783,71195632,71348279,71581705,71724373,71739623,72109056,72275589,72324479,72840195,72874463,73413232,73550663,73775279,73802014,74351063,74510543,74510580,74626348,74736261,74797103,74942666,75521032,76052520,76722263,77097479,77244268,77333992,77603769,77696208,77813423,78092423,78185279,78278063,78401663,78446950,78535826,78740903,79109879,79201943,79416479,79477952,79507432,79869448,79954270,79964018,80095086,80695463,81122688,81150218,81480143,81930383,82289279,82332818,82378823,82589886,82763272,82978348,83122223,83276306,83388623,84154583,84359879,84796789,84921866,84930952,84961161,85235279,85292008,85559085,85635969,85640305,85728143,85814879,85898046,86092946,86189903,86678279,86878703,87000741,87027218,87143001,87361316,87408234,87449183,87733223,87736660,88178152,88383479,88395190,88664879,89193964,89352818,89412696,89445861,89504279,89619688,89853129,89976743,90279026,90741388,91138489,91161479,91243583,91263024,91263745,91707479,91894346,91897823,92114879,92385479,92432305,92520479,92848405,93004823,93108037,93108681,93314668,93806303,94136340,94341964,94406529,94705943,94995023,95163733,95256983,95492063,95547321,95752113,95945124,95953509,96089879,96167543,96243218,96400103,96470666,97042703,97705703,97807223,97959263,98186783,98338103,98453953,98765279,99065423,99200421,99215063,99350121,99414386,99687023,99698905,99884879,...,65112888905307394872935018839429816023218193025670301249620657822239930845230773153411241567486375737954517389747757473237918451993618819185622507134431942540675325091443147926166427998129985436886157931061762934018319445342200586018146733899051092423517552823092929069094223015405396114666755404280716103644957012243623402071763597951665125634605294377322980005110613253247870155506931050882810558389749300424742641991219235788517869866583540584291608381525551458591165243446837700093406865278770773325767704321747291558271229140632908506886048823581750749767379049108718863468305059656104231774818425495975009295517552092964278070762436476857693385440341729846572497922097678331748882757559205163007802001039714744016335935121382963129235365043738410714460213498944692478410598129352327951432815237011789944123750369385372912574303568882953790379653062052715684338800479254322051382380801301165614468256663914115375239809737786010520947269142036055219890924349720135740322515689679666134130211147449259098483250991605094738984649063030345234386377953913037231742005785654948049895647458059867349156310450484758104350346704923935105416687238596731614757221926946021628665068348710524395674292979945827977190105425714314384470712541123025469390158206152535989663143812521991371997694912646276046321522971449764211304436862950128285002274735569871741486084398783746495761519845396013848672959568480433134041444198795761140649655260070892170952160763350191786291539682261596932651742981240746379194219230397631195983410344530048660921042497761014338226692335380205259677287257002523054475447565005930860021562780734504563954371022424439191921095076162977218409013435427093194308112978695113688969508204049889899111841946646706089752428172209555699354525511814786869574546439565089785731008426214053021094404414192140458079255302858101577068291513862066062172464896532784214080303958422687761531303297294468982133501487478020712971675897817222011094166714610365450434696233983170267742818913086205182779834612336562165432658266932767529977224924862701586480581003777564592989976348889475890469752730970313519811116421833483422814356063658679038899909088538841649177690507805231576837697592838567193075967839132951599773668887727245194716121381116821996701393839317475138447605224431617819388450282512676172907104020302257888573313117919400298957679532777482917283273338326568210844677012353528509366694781256357645928478515346384577694252350734053764555537587080891433122274000538446869410274767326346304716044687947196187416685561922951193116991209637449793259055243288365081347707439854691650008655013367626232029876951552144745875211614448384407379996513594098017291266732163093477207599107154271530174161588134162518387185574982985570828238013477465461681008386405196236613942230444296042049618912355930844177310455021315099758555457800233810393194024991206015178941514317355743958817408383663474972936432656439429101290575736601027883744788186866778514145386857223695335286551509017377462166446224069612261233657912235586471175848419950838837736209141272036513612112308291086504932101981660477441921819773254574730502251796354791164512446434363050897564943879412345391354093053273015612353900662936433576735240060539944098611656678221555777544941812542805765325405403477650276825421563727005964037651703948664697018198267993709164921049928911745371473400511014731899740600722494229722333713069382247292182400736938500131057218396797575913039892694097834038651717116560936728779925557280607396714370596801651812389545788355054684185604274992728629637134945985991161329692548686837863307235182409404498647370400815653884956052902300794544112603645137863500677546515510135486341983394313603214115534637037150535734188807387857685865007841}
23497 123364954579328880340601151017311366186434706550950096804902142632751459395067: {23497,2229935,2675922,2793287,3306027,3356639,3990410,4788492,5090603,5680466,7057547,7146455,7272290,8468699,8544172,8575746,8726748,9524354,9599727,9677003,10082210,11278007,11686827,11966087,12098652,12103599,12205960,13458578,13606220,13731705,13768527,13810283,13824290,14028482,14459368,14647152,15154514,16143959,16266789,16327464,16478046,16589148,17094410,18368397,19085858,19226540,19365225,20393679,20396207,20513292,20656240,20923883,21096455,23071848,23173259,23176535,23238270,23276498,23740508,24153717,24669323,24713138,24787488,25141463,25315746,25642967,25838594,25944935,25955829,26616107,27118604,27140303,27320546,27811842,27885924,28017455,28754425,29155154,29208683,29820459,31133922,31474247,32121047,32260827,32444363,32840735,33252140,33620946,33883419,34331999,34383083,34505310,34516658,35121899,35241890,35906799,36632810,36805664,37256447,37442738,38023010,38327727,38562407,38898923,39408882,39902568,40339227,40384535,40740879,41077750,41406372,41650220,41726690,42290268,42345327,42760907,42836738,43306463,43946319,43959372,44190866,44890389,44963210,45627612,45652103,45802679,45887210,46237484,46341327,46349090,46354984,46739739,47513243,47577047,47610407,48397199,48461442,48564455,48566858,48582184,48599723,48685154,49118690,49293300,49417199,49451039,49613852,49922735,49980264,50072028,50495042,50601335,50711979,51420887,52149357,52426439,52500914,52579520,52689999,52811543,53312135,53659403,53955852,54268527,54524498,54654957,55064652,55365899,55569890,55618908,56214347,56227797,56653485,57367535,57836519,58100306,58128203,58199727,58277346,58437119,58682500,58942428,59151960,59766159,59907282,60358487,60430384,60721602,61087010,61195340,61638299,62296178,62849714,63095424,63974562,64236578,64444719,65065425,65217290,65259458,65439455,65742623,66080903,66384939,66545955,66683868,66925163,67444625,67667243,67967210,67984182,68237138,68319759,68658122,68841042,69403120,69543208,69550220,69566543,69569003,69885767,70270583,70419000,70427279,70717823,70982352,71047178,71404239,72126455,72230939,72417863,73304412,73434408,73458410,73543965,73708527,73965803,74091819,74314583,74630507,75113600,75593128,76572508,76656290,76960703,77150379,77155883,77512226,77601407,77766585,77892140,78078510,78236109,78260748,78417227,78446896,78527346,78573842,78923303,79221375,79435227,79784639,79855146,80118383,80306210,80571458,80765735,80933550,81333327,81560652,81712299,82613709,82951024,83040290,83283744,83411099,83460264,83465903,83629106,84502800,84760559,85023698,85042269,85356479,85392455,85453148,86226410,86329120,86551746,86605514,86619279,86776523,87392939,87848747,87860584,88017899,88150092,88252758,88721666,88994540,89013527,90068764,90136320,90369039,90392042,90422399,90516143,90928514,91294343,91766540,91885643,91987548,92123493,92385563,93138225,93282935,93319902,93470568,93688439,93694212,93892797,93949004,94401290,94468827,95018354,95065650,95471207,95509103,96145408,96367452,96555335,96667490,96918882,96968759,97120260,97422047,97803759,97877186,98165207,98843157,98893586,99100043,99347440,99384290,99648348,99836810,...,86817185207076526497246691785906421364290924034227068332827543762986574460307697537881655423315167650606023186330343297650557935991491758914163342845909256720900433455257530568221903997506647249181543908082350578691092593789600781357528978532068123231356737097457238758792297353873861486222340539040954804859942682991497869429018130602220167512807059169763973340147484337663826874009241401177080744519665733899656855988292314384690493155444720779055477842034068611454886991262450266791209153705027697767690272428996388744361638854177211342514731764775667666356505398811625151291073412874805642366424567327966679060690069457285704094349915302476924513920455639795429997229463571108998510343412273550677069334719619658688447913495177284172313820058317880952613617998592923304547464172469770601910420316015719925498333825847163883432404758510605053839537416070287579118400639005762735176507735068220819291008885218820500319746317048014027929692189381406959854565799626847653763354252906221512173614863265678797977667988806792985312865417373793645848503938550716308989341047539930733194196610746489798875080600646344139133795606565246807222249651462308819676295902594695504886757798280699194232390639927770636253473900952419179294283388164033959186877608203381319550858416695988495996926550195034728428697295266352281739249150600171046669699647426495655314779198378328661015359793861351798230612757973910845388592265061014854199540346761189561269547684466922381722052909682129243535657308320995172258958973863508261311213792706731547894723330348019117635589780506940346236383009336697405967263420007907813362083707646006085272494696565918922561460101550636291212017913902790925744150638260151585292677605399853198815789262195608119669904229612740932472700682419715826099395252753453047641344568285404028125872552256187277439007070477468769424388685149421416229953195377045618773738611230250348708404396392625309511335316637360950628901197089629348125555619480487267246261645310893690323758550781606910373112816448749553910211022577023373302966566483602115307441338370086123986635131852634520626336974627084693081488562444644563752474751544905385199878784718455532236920677073642102450263457118089590767957118843935466364891850302993592954828508155762662268525119089966851263473632575490425851267043350234897209472027069677184764417490559200398610239377036643889711031117768757614459569349804704679155593041675143527904638020461846103592336467645405019407383449441188577496365334051262492547033023101795072954726250596261583222247415897268257489321612849933057678740324384486775130276586472922200011540017823501642706502602069526327833615485931179209839995351458797356388355642884124636276798809539028706898882117512216691182914099977314094437650684636620615574677848540261648818589640592394722732825216474574458903080606695086799678073943733645080524258699988274686905255352423140991945089877844884633297248576875252572135054100982134703844993050915822371352193849142964927113715402012023169949555261632092816348311543882980781961567797893267785116981612188362715351482816411054782006576135975547303255895759697672766307336335728473054886016595245817401196753258505883127188472124071030687483138534217248578102313653414053258798148875570962074370059922416723741020433873871303533702433895418302674618716868938598219596024264357324945553228066571882327161964534014686309199654134296658972963111617425842996389576534315918000174742957862396767884053190258797112051535622822081248971706567409707476528952494129068869083186061051140072912247472366656971506182846594647988215106256731582450484409646909879205998196493867754205179941403869734392725483471526850484667570062020680180648455977859084804285487379516049534047645585076517143581153343788}
23498 123802933400980929514973552238591794490344692259092247514923310303270445483236: {1079758,1569877,1735966,2968117,3567896,3699886,4013883,4408036,4539406,5328601,5935726,5985615,6294517,6384656,6493246,7182738,7328446,7606558,7668277,8489077,8520699,9272206,10122901,10529737,10564126,10680215,10908435,11206357,11434328,11635664,12496126,12651947,12799636,12816258,12863619,13090122,13225417,13596958,14238046,14286531,15123315,15257450,15582436,15609166,15759637,16131536,16138132,16338958,17007775,17214937,17522686,18074210,18147978,18308940,18340606,18358036,18792601,18885166,19446901,19529536,19838617,19972558,20187867,20244046,20409330,20424958,20736435,21042723,21057646,21509086,21689052,21769952,21787477,21970728,22050286,22118864,22433497,22731771,23130958,23591797,24029758,24033175,24491196,24717069,24883722,24999577,25254601,25641615,25820300,27191572,27351056,28321726,28628787,28839810,29388958,29420917,29675635,30762464,30769938,30984360,31907797,32154901,32204956,32311966,32401717,32753326,33049984,33106126,33754328,33898255,34426846,34607772,34857405,34914747,34954126,35584117,35610762,35743966,36182206,36190537,37036501,37069707,37082456,37181232,37494526,37878937,37973619,37998997,38238901,38628958,38757891,38803246,38890366,39673726,39760612,39934558,40560611,40677906,40980819,41511896,41565175,41717763,41828886,41929486,42509411,42707806,42966958,42976501,43014436,43210357,43327177,43732731,44827928,45177892,45550558,46007080,46454101,46700883,47093806,47256217,47692558,47826997,47875732,48255163,48509557,48717166,48963157,49528537,49878210,50204617,50431419,50504686,51103636,51325657,51522958,51539423,51757965,51774987,51883477,52062775,52545176,52862835,52876586,53203424,53214901,53214958,53435797,53785636,54058558,54227086,54321172,54479758,54949215,55068766,55208496,55573006,55955401,56164107,56387024,56460436,57034515,57039001,57362677,57793237,57796855,57834958,57943730,58002046,58595092,58612496,58971337,59113323,59503957,59853852,60500686,60727730,60749758,60836816,60850307,61616625,61788436,61826101,62017315,62109558,62319652,62475330,62590035,62661877,62819758,63067486,63232558,63389401,63435402,64255107,64303966,64615256,65290558,65448601,65700958,65724400,65939058,65947006,66143987,66286299,66640352,66762704,67444815,67615972,68154958,68182837,68399566,68441418,68641034,68725486,68830815,69356226,69480601,69523635,69532476,70253332,71159317,71566366,71746837,71941136,72137077,72234457,72358036,72374446,72582146,72692163,72850287,72873276,73027731,73204297,73353125,73419536,73678035,73824958,73878901,73939950,73985806,74158544,74420778,74467966,74970396,75029758,75108042,75537980,75742563,76259401,76470766,76494175,76878011,77428558,77479477,77599636,77703128,78317017,78409717,78589904,78751371,78779797,78869280,78872137,79019758,79688212,79699957,79876376,79971406,80933778,80962136,81236686,81518677,81786747,81968857,82275523,82340446,82596978,83354835,83362558,83397337,83428362,84127232,84719797,84929758,85164286,85299416,85710958,85766101,85867006,85926292,86100958,86753900,86929010,86937775,87113086,87150459,87220562,87416019,87486901,88023750,88413642,88432558,88513252,88727940,88911824,89438446,89824606,89860923,90364558,90594457,90645576,91082403,91093012,91630515,91788056,91793010,91907737,92899486,93282901,93444267,93843097,93892000,94082101,94198558,94274571,94491410,94643136,95110297,95205652,95267401,95715635,95961843,96203977,96328126,96354867,97365175,97739216,97825935,97841566,97889187,97912544,98058620,98197657,98278036,98349001,98746558,98789092,98972446,99251017,99273406,99325717,99649246,99846601,...,130225777810614789745870037678859632046436386051340602499241315644479861690461546306822483134972751475909034779495514946475836903987237638371245014268863885081350650182886295852332855996259970873772315862123525868036638890684401172036293467798102184847035105646185858138188446030810792229333510808561432207289914024487246804143527195903330251269210588754645960010221226506495740311013862101765621116779498600849485283982438471577035739733167081168583216763051102917182330486893675400186813730557541546651535408643494583116542458281265817013772097647163501499534758098217437726936610119312208463549636850991950018591035104185928556141524872953715386770880683459693144995844195356663497765515118410326015604002079429488032671870242765926258470730087476821428920426997889384956821196258704655902865630474023579888247500738770745825148607137765907580759306124105431368677600958508644102764761602602331228936513327828230750479619475572021041894538284072110439781848699440271480645031379359332268260422294898518196966501983210189477969298126060690468772755907826074463484011571309896099791294916119734698312620900969516208700693409847870210833374477193463229514443853892043257330136697421048791348585959891655954380210851428628768941425082246050938780316412305071979326287625043982743995389825292552092643045942899528422608873725900256570004549471139743482972168797567492991523039690792027697345919136960866268082888397591522281299310520141784341904321526700383572583079364523193865303485962481492758388438460795262391966820689060097321842084995522028676453384670760410519354574514005046108950895130011861720043125561469009127908742044848878383842190152325954436818026870854186388616225957390227377939016408099779798223683893293412179504856344419111398709051023629573739149092879130179571462016852428106042188808828384280916158510605716203154136583027724132124344929793065568428160607916845375523062606594588937964267002974956041425943351795634444022188333429220730900869392467966340535485637826172410365559669224673124330865316533865535059954449849725403172961162007555129185979952697778951780939505461940627039622232843666966845628712127317358077799818177077683298355381015610463153675395185677134386151935678265903199547337775454490389432242762233643993402787678634950276895210448863235638776900565025352345814208040604515777146626235838800597915359065554965834566546676653136421689354024707057018733389562512715291856957030692769155388504701468107529111075174161782866244548001076893738820549534652692609432089375894392374833371123845902386233982419274899586518110486576730162695414879709383300017310026735252464059753903104289491750423228896768814759993027188196034582533464326186954415198214308543060348323176268325036774371149965971141656476026954930923362016772810392473227884460888592084099237824711861688354620910042630199517110915600467620786388049982412030357883028634711487917634816767326949945872865312878858202581151473202055767489576373733557028290773714447390670573103018034754924332892448139224522467315824471172942351696839901677675472418282544073027224224616582173009864203963320954883843639546509149461004503592709582329024892868726101795129887758824690782708186106546031224707801325872867153470480121079888197223313356443111555089883625085611530650810806955300553650843127454011928075303407897329394036396535987418329842099857823490742946801022029463799481201444988459444667426138764494584364801473877000262114436793595151826079785388195668077303434233121873457559851114561214793428741193603303624779091576710109368371208549985457259274269891971982322659385097373675726614470364818808997294740801631307769912105804601589088225207290275727001355093031020270972683966788627206428231069274074301071468377614775715371730015682}
23499 124242457017628165320373159429475756157627101321994470616265380680140361258383: {46994,1619637,2603949,3121909,3966937,4459870,5351844,5510045,5549829,5586574,6612054,6713278,6809109,7483421,7980820,8903589,9172469,9576984,9739869,10005037,10181206,10574597,10774107,10992669,11360932,11409837,13908309,14115094,14292910,14544580,15639149,15846189,15999545,16937398,17088344,17151492,17453496,18288677,18744189,19048708,19199454,19224387,19354006,19478045,19635183,20164420,20172665,20395437,21357069,22556014,22886175,22907621,22947545,23373654,23413749,23932174,24197304,24207198,24411920,24508437,26284029,26875357,26917156,27111315,27212440,27221967,27463410,27510909,27537054,27620566,27648580,28056964,28327749,28918736,29294304,29535037,29958837,30309028,30366069,30613995,30637437,31586469,31776869,32263629,32275375,32287918,32447149,32533578,32654928,32956092,33015989,33075429,33178296,33657437,33989465,34188820,34696437,35991929,36044637,36322909,36736794,37325583,38171716,38252621,38453080,38730450,39224437,39363977,40256195,40787358,40792414,41026584,41312480,41847766,42192910,42482589,42840677,43259715,44083437,44891849,45977029,46143696,46154907,46346518,46353070,46476540,46552996,47481016,48178541,48307434,48401341,48467949,48946997,49129989,49338646,49426276,49574976,49659189,49700765,50282926,50471597,50631492,51285934,51640269,51677188,51889870,51911658,52431189,53232214,53416143,53615949,53768045,54237208,54273309,54280606,54641092,55623684,55771848,56034910,56241789,56472365,56538349,56602181,57508850,57511109,57943437,58204869,58286909,58310308,58335549,58417366,58442137,59102489,59510589,59640918,59844665,59901837,61016859,62267844,62743329,62894229,62948494,63879545,64061709,64242094,64450437,64521654,64888726,65681470,66504280,67232045,67241892,67766838,67901465,67990237,68325837,68447801,68663998,68766166,69010620,69033316,69891829,70243798,70276597,70483780,70575545,70640709,70841869,71538837,71813598,73075749,73243865,73265620,73541189,73611328,74512894,74636989,74817315,74885476,75625877,75757029,76046020,76540889,76655454,77124814,77235545,77284437,77797846,77899565,78817764,79314879,79805136,79822437,79941629,80314549,80678454,80769070,81087837,81340629,81481758,81719637,82155500,82603149,82812744,83300440,83359509,83453380,83575609,84519965,84580536,84690654,85273481,85363837,85521814,85673476,86612926,86752437,86915595,87003069,87816665,87892638,87918744,88381732,88664861,89780778,89926420,90447545,90751029,91091595,91124637,91162469,91255224,91304206,91605358,91615237,91774420,92474968,92682654,92698180,92702009,92709968,93164337,93285421,93479478,93712995,94229637,94290937,94422475,94601229,94848837,95026486,95153103,95154094,95220814,95517277,95913749,96455949,96721337,96794398,96922884,96999545,97128910,97133716,97164368,97199446,97370308,97892741,97935837,98237380,98551437,98586600,98834398,98840621,98902078,98908587,98920509,99227704,99610265,99845470,99960528,...,195338666715922184618805056518289448069654579077010903748861973466719792535692319460233724702459127213863552169243272419713755355980856457556867521403295827622025975274329443778499283994389956310658473793185288802054958336026601758054440201697153277270552658469278787207282669046216188344000266212842148310934871036730870206215290793854995376903815883131968940015331839759743610466520793152648431675169247901274227925973657707365553609599750621752874825144576654375773495730340513100280220595836312319977303112965241874674813687421898725520658146470745252249302137147326156590404915178968312695324455276487925027886552656278892834212287309430573080156321025189539717493766293034995246648272677615489023406003119144232049007805364148889387706095131215232143380640496834077435231794388056983854298445711035369832371251108156118737722910706648861371138959186158147053016401437762966154147142403903496843404769991742346125719429213358031562841807426108165659672773049160407220967547069038998402390633442347777295449752974815284216953947189091035703159133861739111695226017356964844149686942374179602047468931351454274313051040114771805316250061715790194844271665780838064885995205046131573187022878939837483931570316277142943153412137623369076408170474618457607968989431437565974115993084737938828138964568914349292633913310588850384855006824206709615224458253196351239487284559536188041546018878705441299402124332596387283421948965780212676512856482290050575358874619046784790797955228943722239137582657691192893587950231033590145982763127493283043014680077006140615779031861771007569163426342695017792580064688342203513691863113067273317575763285228488931655227040306281279582924338936085341066908524612149669697335525839940118269257284516628667098063576535444360608723639318695269357193025278642159063283213242576421374237765908574304731204874541586198186517394689598352642240911875268063284593909891883406946400504462434062138915027693451666033282500143831096351304088701949510803228456739258615548339503837009686496297974800798302589931674774588104759441743011332693778969929046668427671409258192910940559433349265500450268443068190976037116699727265616524947533071523415694730513092778515701579227903517398854799321006663181735584148364143350465990104181517952425415342815673294853458165350847538028518721312060906773665719939353758200896873038598332448751849820014979704632534031037060585528100084343769072937785435546039153733082757052202161293666612761242674299366822001615340608230824301979038914148134063841588562250056685768853579350973628912349379777165729865095244043122319564074950025965040102878696089630854656434237625634843345153222139989540782294051873800196489280431622797321462814590522484764402487555161556724948956712484714040432396385043025159215588709841826691332888126148856737067792532531931365063945299275666373400701431179582074973618045536824542952067231876452225150990424918809297969318287303871727209803083651234364560600335542436160571671086005859654527052132386499338672208836783700973736706759413527545259852516513208627423816109540836336924873259514796305944981432325765459319763724191506755389064373493537339303089152692694831638237036174062279159819046837061701988809300730205720181619832295834970034664667332634825437628417295976216210432950830476264691181017892112955111845994091054594803981127494763149786735236114420201533044195699221802167482689167001139208146741876547202210815500393171655190392727739119678082293502115955151349682810186339776671841822190143111790404955437168637365065164052556812824978185888911404837957973483989077646060513589921705547228213495942111202446961654868158706902383632337810935413590502032639546530406459025950182940809642346603911111451607202566422163573057595023523}
23500 124683530842325800636145951799098856023509716113794456068475107615990082774127: {70491,961819,1242691,1943611,2159516,2363299,3061339,3139754,3471932,3896611,4035571,4174459,5936234,6689805,7135792,7211779,7399772,8027766,8379861,8816072,8853811,9078812,9262699,9670939,9918081,9976025,10069917,10214251,10620979,10657202,11027059,11871452,11971230,12589034,12769312,12779251,12913531,12986492,13583851,13717699,14201165,14365476,14652619,14656892,14785891,14952301,15213116,15271809,15336554,15584011,16978154,17041398,17304379,17567971,18180725,18357019,18544412,18619459,19405051,19535731,19927339,20057731,20245802,20968459,21059474,21128252,21172641,21360430,21439365,21816870,22412714,22868656,22908139,23165539,23271328,23810885,24448219,24703891,24831619,24992252,25205525,25303894,25406097,25599272,25632516,25723699,25727238,26180244,26450834,26612251,27118411,27193916,27244771,27371059,28476092,28573062,28799181,29006251,29031009,30246630,30255811,30514900,31126219,31164872,31218332,31498171,31519274,31622011,32263072,32276264,32677916,32733331,33470971,33646445,33834021,34015550,34429874,34450459,34560725,35045372,35060481,35071205,35182051,35425339,35789731,35898261,36148420,36295956,36310797,36617880,36681212,36716072,36999691,37585202,37722211,37770332,37886285,38801131,38893802,39059072,39677234,39945116,40375734,40488092,40818660,40823179,40849916,41059699,41195115,41295931,41305581,41430849,41472870,41545889,41649739,42085446,42115292,42590059,42736025,42941491,43018172,43378104,43539904,43574954,43941456,44100572,44237728,44572939,44866994,44920699,45463542,45960091,46261916,47183594,47457557,47714645,48059516,48066350,48248971,48431877,48800367,48930019,48982392,49434138,49721299,49767444,49834051,49999154,50509051,50509202,50621299,50845579,51283230,51405019,51640600,52073971,53932241,53955259,54383144,54702112,54723859,55105191,56033251,56358979,56643452,56684059,56900419,57028829,57116491,57257574,57679620,58095675,58191245,58299739,58620931,58777916,58841834,59048179,59351270,60745651,61181037,61188621,61524928,61539876,61782845,61901971,61968720,62771649,63049579,63289365,63815594,64309802,64394611,64409912,64596485,64623932,64803434,65011291,65506652,65829499,66099968,66212252,66643099,67048171,67508656,67796510,67854859,68301365,68853692,69155899,69215544,69519777,69529605,69714810,69829494,69908252,70444771,70641979,71168234,71221524,71329939,71487932,72364412,72381074,72461151,72598219,72887885,74007969,74073002,74139414,74164912,74238379,74362464,74907691,74989052,75424389,75757874,75947238,75997994,76477802,76706611,76800571,76894459,76928901,77175691,77257916,77515782,77606492,77780732,77834805,77867487,79126171,79218259,79347452,79521224,79848321,79869116,79952371,80915597,81121222,81225979,81355812,81420909,81677419,81961638,82395979,83023792,83109931,83130350,83435526,83657772,83858972,84052365,84348259,84962131,85018822,85415612,85933916,85953002,86028872,86263275,86291645,86420714,86654354,86696611,86824241,87465462,87626049,87949697,88104725,88402291,89076499,89461377,89579131,89655856,89746099,90355784,91101116,91582025,92014160,92908202,93024979,93401766,93606845,93666931,93826699,94187612,94422741,94462891,94512434,94779259,95015779,95057525,95385116,95565139,95653994,95751464,96363141,96510326,96576019,96782481,97019114,97115299,97234709,97333089,97434332,97498339,97926314,98259019,98522205,99057074,99237139,99756420,...,260451555621229579491740075357719264092872772102681204998482631288959723380923092613644966269945502951818069558991029892951673807974475276742490028537727770162701300365772591704665711992519941747544631724247051736073277781368802344072586935596204369694070211292371716276376892061621584458667021617122864414579828048974493608287054391806660502538421177509291920020442453012991480622027724203531242233558997201698970567964876943154071479466334162337166433526102205834364660973787350800373627461115083093303070817286989166233084916562531634027544195294327002999069516196434875453873220238624416927099273701983900037182070208371857112283049745907430773541761366919386289991688390713326995531030236820652031208004158858976065343740485531852516941460174953642857840853995778769913642392517409311805731260948047159776495001477541491650297214275531815161518612248210862737355201917017288205529523205204662457873026655656461500959238951144042083789076568144220879563697398880542961290062758718664536520844589797036393933003966420378955938596252121380937545511815652148926968023142619792199582589832239469396625241801939032417401386819695740421666748954386926459028887707784086514660273394842097582697171919783311908760421702857257537882850164492101877560632824610143958652575250087965487990779650585104185286091885799056845217747451800513140009098942279486965944337595134985983046079381584055394691838273921732536165776795183044562598621040283568683808643053400767145166158729046387730606971924962985516776876921590524783933641378120194643684169991044057352906769341520821038709149028010092217901790260023723440086251122938018255817484089697756767684380304651908873636053741708372777232451914780454755878032816199559596447367786586824359009712688838222797418102047259147478298185758260359142924033704856212084377617656768561832317021211432406308273166055448264248689859586131136856321215833690751046125213189177875928534005949912082851886703591268888044376666858441461801738784935932681070971275652344820731119338449346248661730633067731070119908899699450806345922324015110258371959905395557903561879010923881254079244465687333933691257424254634716155599636354155366596710762031220926307350790371354268772303871356531806399094675550908980778864485524467287986805575357269900553790420897726471277553801130050704691628416081209031554293252471677601195830718131109931669133093353306272843378708049414114037466779125025430583713914061385538310777009402936215058222150348323565732489096002153787477641099069305385218864178751788784749666742247691804772467964838549799173036220973153460325390829759418766600034620053470504928119507806208578983500846457793537629519986054376392069165066928652373908830396428617086120696646352536650073548742299931942283312952053909861846724033545620784946455768921777184168198475649423723376709241820085260399034221831200935241572776099964824060715766057269422975835269633534653899891745730625757716405162302946404111534979152747467114056581547428894781341146206036069509848665784896278449044934631648942345884703393679803355350944836565088146054448449233164346019728407926641909767687279093018298922009007185419164658049785737452203590259775517649381565416372213092062449415602651745734306940960242159776394446626712886223110179767250171223061301621613910601107301686254908023856150606815794658788072793071974836659684199715646981485893602044058927598962402889976918889334852277528989168729602947754000524228873587190303652159570776391336154606868466243746915119702229122429586857482387206607249558183153420218736742417099970914518548539783943964645318770194747351453228940729637617994589481603262615539824211609203178176450414580551454002710186062040541945367933577254412856462138548148602142936755229551430743460031364}
23501 125126160306972716421234525908814184890738857191287871675069740840437502052133: {93988,2699395,3239274,4339915,4389451,4709631,5207898,6243818,7714063,7933874,7999519,8844043,8904351,8919740,9249715,10251583,10703688,11020090,11090431,11099658,11173148,11348515,12041649,12497251,13224108,13426556,13618218,14748163,14839315,14966842,15206719,15961640,15985803,16233115,16717711,17807178,17956845,18321115,18344938,18803851,18883551,19016395,19153968,19479738,20010074,20362412,21111331,21149194,21548214,21613891,21985338,22399363,22721864,22819674,23004831,23180515,25328911,25467231,25562097,26410315,26671963,27072643,27269263,27816618,27859459,28230188,28241731,28585820,29089160,30368703,31240315,31278298,31589211,31692378,31999090,32040645,32126563,32725305,32854051,33619071,33874796,33992395,34176688,34302984,34906992,35595115,36577354,36900223,37488378,37955841,38097416,38143625,38398908,38448774,38474131,38590857,38708012,38766079,38956090,39022915,39270366,39676251,39776971,40296091,40328840,40345330,40722163,40790874,40847395,41284171,41825311,42515983,42714138,42859593,43806715,44895691,45112028,45185525,45207643,45369945,45772350,45815242,45851515,45895090,45899359,46747308,46827498,47212915,47278911,47585251,47864348,48394608,48414396,48823840,49016874,49459531,49535683,49931395,50173243,50427763,50475931,50610115,50629891,50983999,51023325,51062395,51501199,51644811,52568058,52644115,53750714,53772715,53834312,54030559,54222630,54424880,54443934,54926820,55021818,55074108,55125715,55241132,55297160,56113928,56358673,56377803,56655498,57516031,57827395,57837472,57846451,58340703,58520899,58586083,58588608,59070074,59363263,59515851,59648251,59895811,59917674,60074395,60563601,60618056,60732138,61126879,61227990,61274874,62209305,62259763,63128169,63172938,63553738,64527258,64550750,64575836,64622491,64894298,65067156,65309856,65362431,65912184,66031978,66055723,66150858,66356592,67195711,67300491,67314874,67978930,68195313,68377640,68453659,68557651,69392874,69581071,69803203,70775391,70804315,71739019,71983858,72089274,72099525,72645818,73168339,73472395,73473588,74151207,74614783,74651166,74763931,74998731,75275263,75632371,75763803,76343432,76417771,76505242,76906160,76924845,77460900,78448874,78727954,79061311,80512390,80779915,80804251,81014671,81574716,81584828,81819571,81883315,82053168,82624960,82765315,83695532,83782531,84212131,84321919,84385820,84523039,84965178,85280779,85681354,85886361,86067115,86519430,87385315,88166874,88262751,88336831,89026905,89359915,89431363,89433163,89537551,89783698,90455515,91170271,91344319,91954058,92097211,92287392,92309814,92470363,92693036,92706140,92953080,93105992,93736315,94055323,94124863,94779679,94849051,94962032,95062051,95723391,96357082,96464703,96572395,96614868,96802682,96935898,96985411,97008115,97205151,97225915,97846003,97893994,97901119,98259978,98636611,98677292,98805763,98852552,99095251,99149952,99184315,99318378,99401530,99836395,...,390677333431844369237610113036578896139309158154021807497723946933439585071384638920467449404918254427727104338486544839427510711961712915113735042806591655244051950548658887556998567988779912621316947586370577604109916672053203516108880403394306554541105316938557574414565338092432376688000532425684296621869742073461740412430581587709990753807631766263937880030663679519487220933041586305296863350338495802548455851947315414731107219199501243505749650289153308751546991460681026200560441191672624639954606225930483749349627374843797451041316292941490504498604274294652313180809830357936625390648910552975850055773105312557785668424574618861146160312642050379079434987532586069990493296545355230978046812006238288464098015610728297778775412190262430464286761280993668154870463588776113967708596891422070739664742502216312237475445821413297722742277918372316294106032802875525932308294284807806993686809539983484692251438858426716063125683614852216331319345546098320814441935094138077996804781266884695554590899505949630568433907894378182071406318267723478223390452034713929688299373884748359204094937862702908548626102080229543610632500123431580389688543331561676129771990410092263146374045757879674967863140632554285886306824275246738152816340949236915215937978862875131948231986169475877656277929137828698585267826621177700769710013648413419230448916506392702478974569119072376083092037757410882598804248665192774566843897931560425353025712964580101150717749238093569581595910457887444478275165315382385787175900462067180291965526254986566086029360154012281231558063723542015138326852685390035585160129376684407027383726226134546635151526570456977863310454080612562559165848677872170682133817049224299339394671051679880236538514569033257334196127153070888721217447278637390538714386050557284318126566426485152842748475531817148609462409749083172396373034789379196705284481823750536126569187819783766813892801008924868124277830055386903332066565000287662192702608177403899021606456913478517231096679007674019372992595949601596605179863349549176209518883486022665387557939858093336855342818516385821881118866698531000900536886136381952074233399454531233049895066143046831389461026185557031403158455807034797709598642013326363471168296728286700931980208363035904850830685631346589706916330701695076057037442624121813547331439878707516401793746077196664897503699640029959409265068062074121171056200168687538145875570871092078307466165514104404322587333225522485348598733644003230681216461648603958077828296268127683177124500113371537707158701947257824698759554331459730190488086244639128149900051930080205757392179261709312868475251269686690306444279979081564588103747600392978560863245594642925629181044969528804975110323113449897913424969428080864792770086050318431177419683653382665776252297713474135585065063862730127890598551332746801402862359164149947236091073649085904134463752904450301980849837618595938636574607743454419606167302468729121200671084872321143342172011719309054104264772998677344417673567401947473413518827055090519705033026417254847632219081672673849746519029592611889962864651530918639527448383013510778128746987074678606178305385389663276474072348124558319638093674123403977618601460411440363239664591669940069329334665269650875256834591952432420865901660952529382362035784225910223691988182109189607962254989526299573470472228840403066088391398443604334965378334002278416293483753094404421631000786343310380785455478239356164587004231910302699365620372679553343683644380286223580809910874337274730130328105113625649956371777822809675915946967978155292121027179843411094456426991884222404893923309736317413804767264675621870827181004065279093060812918051900365881619284693207822222903214405132844327146115190047046}
23502 125570350862376630172532672661480269186630014818130375202923627758924666234525: {117485,140982,680717,1008737,1663601,1923638,2410097,2485382,3061601,3804257,3887222,4221101,4319032,4452401,4726598,4858911,4914401,5191217,5421677,5836001,6122678,6279508,6800237,6943864,7258157,7793222,7811847,8071142,8308337,8348918,9365727,9717101,9943601,10124657,10215137,10350797,10621901,10667057,11149675,11298401,11478497,11703437,11872468,11900811,12421901,13379610,13763501,13966435,14271584,14423558,14431601,14653901,14698337,14799544,15762401,16055532,16380977,16530135,16649487,16689677,16759722,16783195,17086001,17305901,17632144,17707622,18157624,18402401,18525398,18664817,19341878,19450337,19537457,19836162,19881631,19929101,19952050,19972577,20139834,20427327,20428502,20970317,21241958,21314404,21489197,21877601,22054118,22308401,22450263,22910177,22953101,23210477,23553197,23742904,23809901,23942460,23980877,24493037,25178068,25453015,25538624,25558502,25768397,25827062,25972984,26710767,27167702,27247217,27373517,27415601,27435398,27517407,28402330,28730952,29219607,29305238,29313784,29571782,29904602,30015111,30383117,30426232,30543618,30673108,31129037,31168022,31418417,31542317,31723791,31748657,31996001,32322321,32407601,32777357,32978007,32982497,33228401,33335239,33956308,34082796,34209137,34229511,34608758,35135942,35225837,35287735,35469101,35732275,36318257,36361450,36714038,37043297,37088824,37238918,38810102,38844557,39071462,39083501,39854678,40115462,40491604,40826957,41063501,41299757,41692877,41724927,41936918,42118948,42256504,42343495,42345282,42476717,42594017,42720860,42878730,42984497,43062497,43218401,43633740,44344877,44615777,44825428,45156401,45737312,45816278,46117901,46331078,46462817,46542656,46917447,47105023,47538567,47621770,47998635,48385015,48405101,48896438,48934637,48972401,49099687,49387277,49407782,49500257,49663238,49984504,50289101,50411050,50607788,50812194,51198544,51265032,51409901,51447398,51454476,52360488,52893101,52901668,53040799,53224502,53225057,53298737,54236822,54387832,54489542,54742118,54866031,56038637,56232567,56390035,56400557,56689517,56725601,56952184,57049997,57121997,57146124,57598362,57673161,58012502,58062018,58434135,58905549,59053901,59798897,59830435,59905037,60434657,60493260,60511622,60517995,60681197,60962477,61029800,61186311,61838177,61908017,62252438,62329744,62436664,62569901,62996342,63038548,63244022,63401837,63738103,64071207,64435277,64526144,64552528,65355832,65466662,65869997,66175601,66683501,66800503,66941942,66987377,67155917,67292890,67397707,67660337,67668042,67895117,68031100,68162957,68563757,68658525,68722863,68842635,68859748,68900918,69051415,69121450,69858401,70090744,70120962,70142410,70188401,70241247,70364102,70484717,70649057,70681901,70850678,71369777,71579462,71796522,71858957,72296840,72591912,72605537,72621594,73235760,73283501,73362424,73412237,73432144,73525311,73893857,73999382,74756237,74915297,75170404,75201101,75444422,75540664,75772570,76745777,76933601,77121137,77602262,77787604,78023501,78118144,78209357,78302177,78852087,79134317,79226417,79354468,79532897,79716401,79890232,79991117,80626071,80719795,80751468,80976184,81083501,81333945,81467743,81505517,81637320,81646358,81665901,81699832,81715937,81865997,82119398,82135601,82314977,82390230,82404557,82532727,82591862,82611162,82861698,82945740,83091778,83148257,83299478,83503457,84170892,84230584,84357101,84386417,84796001,84983247,85180118,85407437,85472050,85842017,85882982,86036344,86495983,86705777,86756208,86820401,86992097,87079808,87149908,87562337,87846257,87882912,88201144,88475456,88605111,88777517,89145878,89197937,89532977,89616557,89733988,89783501,89841398,89876511,90199601,90435079,90927084,91098207,91273037,91409777,91841985,91912311,91920182,92496497,92523832,92631437,92793101,93196001,93303137,93863501,94367188,94759407,94915114,95026157,95330607,95429290,95601677,95621911,96119032,96121517,96132700,96199217,96497942,96509297,96790887,96826125,96863754,96895277,97341447,97509101,97600734,97860038,97915757,97964784,98269901,98295137,98868276,99047967,99226287,99273101,99397601,99442598,99534888,99668102,99794657,99918317,99998308,...,586016000147766553856415169554868344208963737231032711246585920400159377607076958380701174107377381641590656507729817259141266067942569372670602564209887482866077925822988331335497851983169868931975421379555866406164875008079805274163320605091459831811657975407836361621848007138648565032000798638526444932804613110192610618645872381564986130711447649395906820045995519279230831399562379457945295025507743703822683777920973122096660828799251865258624475433729963127320487191021539300840661787508936959931909338895725624024441062265696176561974439412235756747906411441978469771214745536904938085973365829463775083659657968836678502636861928291719240468963075568619152481298879104985739944818032846467070218009357432696147023416092446668163118285393645696430141921490502232305695383164170951562895337133106109497113753324468356213168732119946584113416877558474441159049204313288898462441427211710490530214309975227038377158287640074094688525422278324496979018319147481221662902641207116995207171900327043331886349258924445852650861841567273107109477401585217335085678052070894532449060827122538806142406794054362822939153120344315415948750185147370584532814997342514194657985615138394719561068636819512451794710948831428829460236412870107229224511423855372823906968294312697922347979254213816484416893706743047877901739931766551154565020472620128845673374759589053718461853678608564124638056636116323898206372997789161850265846897340638029538569446870151726076623857140354372393865686831166717412747973073578680763850693100770437948289382479849129044040231018421847337095585313022707490279028085053377740194065026610541075589339201819952727289855685466794965681120918843838748773016808256023200725573836449009092006577519820354807771853549886001294190729606333081826170917956085808071579075835926477189849639727729264122713297725722914193614623624758594559552184068795057926722735625804189853781729675650220839201513387302186416745083080354998099847500431493289053912266105848532409685370217775846645018511511029059488893924402394907769795024323764314278325229033998081336909787140005283014227774578732821678300047796501350805329204572928111350099181796849574842599214570247084191539278335547104737683710552196564397963019989545206752445092430051397970312544553857276246028447019884560374496052542614085556163936182720320997159818061274602690619115794997346255549460044939113897602093111181756584300253031307218813356306638117461199248271156606483880999838283728022898100466004846021824692472905937116742444402191524765686750170057306560738052920886737048139331497189595285732129366958692224850077895120308636088268892563969302712876904530035459666419968622346882155621400589467841294868391964388443771567454293207462665484670174846870137454142121297189155129075477646766129525480073998664378446570211203377597595794095191835897826999120202104293538746224920854136610473628856201695629356675452971274756427893907954861911615181629409250953703093681801006627308481715013258017578963581156397159498016016626510351102921210120278240582635779557549539625882271448328622509010774619778544388917834944296977296377959291172574520266167193120480612017909267458078084494914711108522186837479457140511185105966427902190617160544859496887504910103994001997904476312885251887928648631298852491428794073543053676338865335537982273163784411943382484289449360205708343260604599132587097665406502448067501003417624440225629641606632446501179514965571178183217359034246880506347865454049048430559019330015525466570429335371214866311505912095195492157670438474934557666734214513873920451967232938181540769765116641684640487826333607340884964604476120707150897013432806240771506097918639591219377077850548822428927039811733334354821607699266490719172785070569}
23503 126016107978319488284320986576003921205846857317687518842684042243101066228736: {187976,211473,2885457,3728073,3779153,4905857,5187533,5398790,5830833,6075881,6478548,7089897,7849385,8679830,8778902,9184017,9419262,9453977,10415796,11689833,12106713,12487636,12523377,12949601,13106873,14840585,15428126,15722201,15867748,15887921,15999038,16483241,17688086,17808702,17839480,17971577,18499430,20069415,20503166,20775041,21407376,21635337,22040180,22180862,22199316,22222733,22346296,22697030,22726361,23595017,24083298,24994502,25139583,25649561,26448216,26561433,26622953,26643005,26853112,27236436,27788097,29012817,29218457,29496326,29678630,29754243,29780801,29809841,29928075,29933684,30209751,30413438,30642753,31472585,31862937,31923280,31971606,32452721,32466230,33081177,33435422,35614356,35913690,36642230,36689876,36974441,37607702,37767102,38032790,38307936,38337753,38341385,38740593,38959476,40020148,40724824,40751553,41153097,42222662,42298388,42445385,42603495,43096428,43227782,43298033,43736441,43957857,43970676,44357673,44798726,44856903,45443728,45639348,45814457,45815427,46009662,46361030,46412201,46752033,47589353,47622653,49429913,49833161,50177537,50614505,50657822,50934462,50988377,51124194,51913137,52648685,52703913,52820630,52951937,53343926,53401075,54145286,54244697,54538526,54542175,54632081,55071057,55633236,55718918,55858377,56031785,56360441,56460376,56483462,57078857,57171640,57186353,58006121,58178320,58215153,58452173,58591097,58607193,59653373,59782017,60173193,60253817,60737406,61329401,61375577,61638401,62480630,62556596,62905377,63178422,63259735,63384756,63517923,63854297,63998180,64081290,64192121,64253126,64318095,65450610,65708102,66098081,66127085,66942377,67238142,67749592,67984790,68353376,68605968,68724417,69496617,69584441,69809177,69813984,69903953,70854161,71190230,71432655,71487353,72225137,72240857,72249617,73154708,73174601,73344657,73701761,73800446,74111673,74494857,74617217,74976756,75281801,75616575,75911682,76194832,76218291,76287250,76424333,76623257,76797816,76897548,76948262,77171097,77176001,77181714,77416024,77532158,77912180,78045830,78540732,78798185,79352502,79413113,79553942,79836753,80592182,80657680,80690660,80958353,81355233,81444326,81581748,81694790,81734313,82113177,82568342,83650622,83871341,84104153,84530297,84782477,85031966,85038875,85408097,85428276,85719186,86074685,86397543,87018753,87093027,87613430,88357373,88845977,89440817,89791382,90224056,90371050,90415286,90739890,90767433,91544700,91630484,91703030,91790180,91798718,93378657,93494616,93654996,93963005,94198781,94425830,94494513,94557822,94866033,95170502,95495933,95728696,96789216,96828792,97234505,97647680,97854377,98033748,98199993,98919062,99071366,99126041,99193085,99653177,99862790,...,781354666863688738475220226073157792278618316308043614995447893866879170142769277840934898809836508855454208676973089678855021423923425830227470085613183310488103901097317775113997135977559825242633895172741155208219833344106407032217760806788613109082210633877115148829130676184864753376001064851368593243739484146923480824861163175419981507615263532527875760061327359038974441866083172610593726700676991605096911703894630829462214438399002487011499300578306617503093982921362052401120882383345249279909212451860967498699254749687594902082632585882981008997208548589304626361619660715873250781297821105951700111546210625115571336849149237722292320625284100758158869975065172139980986593090710461956093624012476576928196031221456595557550824380524860928573522561987336309740927177552227935417193782844141479329485004432624474950891642826595445484555836744632588212065605751051864616588569615613987373619079966969384502877716853432126251367229704432662638691092196641628883870188276155993609562533769391109181799011899261136867815788756364142812636535446956446780904069427859376598747769496718408189875725405817097252204160459087221265000246863160779377086663123352259543980820184526292748091515759349935726281265108571772613648550493476305632681898473830431875957725750263896463972338951755312555858275657397170535653242355401539420027296826838460897833012785404957949138238144752166184075514821765197608497330385549133687795863120850706051425929160202301435498476187139163191820915774888956550330630764771574351800924134360583931052509973132172058720308024562463116127447084030276653705370780071170320258753368814054767452452269093270303053140913955726620908161225125118331697355744341364267634098448598678789342103359760473077029138066514668392254306141777442434894557274781077428772101114568636253132852970305685496951063634297218924819498166344792746069578758393410568963647501072253138375639567533627785602017849736248555660110773806664133130000575324385405216354807798043212913826957034462193358015348038745985191899203193210359726699098352419037766972045330775115879716186673710685637032771643762237733397062001801073772272763904148466798909062466099790132286093662778922052371114062806316911614069595419197284026652726942336593456573401863960416726071809701661371262693179413832661403390152114074885248243627094662879757415032803587492154393329795007399280059918818530136124148242342112400337375076291751141742184156614932331028208808645174666451044970697197467288006461362432923297207916155656592536255366354249000226743075414317403894515649397519108662919460380976172489278256299800103860160411514784358523418625736950502539373380612888559958163129176207495200785957121726491189285851258362089939057609950220646226899795826849938856161729585540172100636862354839367306765331552504595426948271170130127725460255781197102665493602805724718328299894472182147298171808268927505808900603961699675237191877273149215486908839212334604937458242401342169744642286684344023438618108208529545997354688835347134803894946827037654110181039410066052834509695264438163345347699493038059185223779925729303061837279054896766027021556257493974149357212356610770779326552948144696249116639276187348246807955237202920822880726479329183339880138658669330539301750513669183904864841731803321905058764724071568451820447383976364218379215924509979052599146940944457680806132176782796887208669930756668004556832586967506188808843262001572686620761570910956478712329174008463820605398731240745359106687367288760572447161619821748674549460260656210227251299912743555645619351831893935956310584242054359686822188912853983768444809787846619472634827609534529351243741654362008130558186121625836103800731763238569386415644445806428810265688654292230380094092}
23504 126463437143623083073005456491502414061663179252455623303166923886844407230626: {164479,234970,281964,727663,1361434,1710463,2017474,3327202,3847276,4499023,4820194,4914823,4970764,6123202,6433879,7121479,7608514,7670263,7774444,7807279,8098185,8442202,8627863,8638064,8904802,9453196,9717822,9828802,9989743,10382434,10667983,10843354,11209279,11672002,12245356,12422983,12559016,13019745,13168353,13600474,13887728,14128893,14516314,14699623,15586444,15609545,15623694,16142284,16558879,16616674,16697836,17878279,18731454,19321303,19434202,19553009,19834685,19887202,19974343,20249314,20430274,20701594,21145279,21243802,21334114,22299350,22596802,22955143,22956994,23142189,23406874,23496473,23598103,23744936,23801622,23854783,23998557,24843802,25133863,26532129,26713053,26759220,26785903,27038983,27418063,27527002,27550225,27749145,27932870,28543168,28847116,28863202,29307802,29396674,29599088,30551863,30754749,31524802,32040103,32111064,32761954,33060270,33271293,33298974,33379354,33519444,33566390,33885823,34045545,34172002,34375279,34611802,35264288,35415244,35634221,36124947,36315248,36321583,36804802,37050796,37329634,37417105,37491753,38009479,38129503,38608879,38683756,38900674,39074914,39672324,39683263,39763262,39858202,39904100,39945154,40279668,40854654,40857004,41940634,42483916,42628808,42754279,42978394,43222423,43339279,43755202,44108236,44244489,44517945,44616802,44900526,45199183,45620157,45820354,45862345,45906202,46420954,47106394,47269543,47485808,47619802,47884920,47957409,47961754,48636823,48699345,48977023,48986074,49402829,49542583,49655479,50025185,50153133,50331343,50356136,50906030,51077248,51117004,51340279,51536794,51654124,51945968,52009663,52565503,52872985,52898143,53421534,53561479,53870535,54335404,54494434,54661279,54747034,54831202,54870796,54963345,55034814,55208479,56411553,56650653,56731063,56804660,57049185,57461904,57917479,58439214,58610476,58627568,59143564,59280893,59809204,60030222,60687103,60766234,60852464,61003543,61087236,61346216,62258074,62336044,62576023,62836834,63084634,63333993,63447582,63497314,63992002,64338583,64644642,64647463,64815202,64841673,65263279,65286397,65554714,65956014,65964994,66182143,66456802,66670478,67196263,67198089,67398223,67700623,67739021,67912616,68165592,68203183,68418274,68459022,68903743,69014493,69217516,69302479,69541545,70195423,70271884,70451674,70575470,70688983,70938202,71464550,71866183,72256279,72353623,72636514,72722900,73129783,73428076,73708879,74086594,74177648,74477836,74576161,75240463,75326849,75986733,76401693,76565479,76686291,77620204,77689114,78062503,78142924,78167002,78195745,78341143,78433879,78896479,78946049,79230945,79709356,79997725,80015889,80230924,80983208,81217929,81544063,81653914,81807789,82127002,82174063,82532479,82599514,83385754,83449854,83512183,83578377,83762609,83873836,84237896,84395263,84513008,84686990,84690564,84725193,84953434,85188034,85441720,85757460,85968994,86124994,86436802,86829583,87267480,88689754,89231554,89650856,89959783,90312802,91106109,91443385,91474624,91632556,91855903,92235802,92344279,92662156,92668423,92830063,92925634,93085312,93553879,93720945,93834894,93953479,94210046,94767633,95077134,95141479,95243540,95997270,96121935,96235663,96379689,96671981,96770030,96777463,96810202,97390225,97792876,97850479,97869274,97944802,98175915,98199374,98306023,98562153,98774554,98815564,99000514,99326476,99358879,99969008,...,1172032000295533107712830339109736688417927474462065422493171840800318755214153916761402348214754763283181313015459634518282532135885138745341205128419774965732155851645976662670995703966339737863950842759111732812329750016159610548326641210182919663623315950815672723243696014277297130064001597277052889865609226220385221237291744763129972261422895298791813640091991038558461662799124758915890590051015487407645367555841946244193321657598503730517248950867459926254640974382043078601681323575017873919863818677791451248048882124531392353123948878824471513495812822883956939542429491073809876171946731658927550167319315937673357005273723856583438480937926151137238304962597758209971479889636065692934140436018714865392294046832184893336326236570787291392860283842981004464611390766328341903125790674266212218994227506648936712426337464239893168226833755116948882318098408626577796924882854423420981060428619950454076754316575280148189377050844556648993958036638294962443325805282414233990414343800654086663772698517848891705301723683134546214218954803170434670171356104141789064898121654245077612284813588108725645878306240688630831897500370294741169065629994685028389315971230276789439122137273639024903589421897662857658920472825740214458449022847710745647813936588625395844695958508427632968833787413486095755803479863533102309130040945240257691346749519178107436923707357217128249276113272232647796412745995578323700531693794681276059077138893740303452153247714280708744787731373662333434825495946147157361527701386201540875896578764959698258088080462036843694674191170626045414980558056170106755480388130053221082151178678403639905454579711370933589931362241837687677497546033616512046401451147672898018184013155039640709615543707099772002588381459212666163652341835912171616143158151671852954379699279455458528245426595451445828387229247249517189119104368137590115853445471251608379707563459351300441678403026774604372833490166160709996199695000862986578107824532211697064819370740435551693290037023022058118977787848804789815539590048647528628556650458067996162673819574280010566028455549157465643356600095593002701610658409145856222700198363593699149685198429140494168383078556671094209475367421104393128795926039979090413504890184860102795940625089107714552492056894039769120748992105085228171112327872365440641994319636122549205381238231589994692511098920089878227795204186222363513168600506062614437626712613276234922398496542313212967761999676567456045796200932009692043649384945811874233484888804383049531373500340114613121476105841773474096278662994379190571464258733917384449700155790240617272176537785127938605425753809060070919332839937244693764311242801178935682589736783928776887543134908586414925330969340349693740274908284242594378310258150955293532259050960147997328756893140422406755195191588190383671795653998240404208587077492449841708273220947257712403391258713350905942549512855787815909723823230363258818501907406187363602013254616963430026516035157927162312794318996032033253020702205842420240556481165271559115099079251764542896657245018021549239557088777835669888593954592755918582345149040532334386240961224035818534916156168989829422217044373674958914281022370211932855804381234321089718993775009820207988003995808952625770503775857297262597704982857588147086107352677730671075964546327568823886764968578898720411416686521209198265174195330813004896135002006835248880451259283213264893002359029931142356366434718068493761012695730908098096861118038660031050933140858670742429732623011824190390984315340876949869115333468429027747840903934465876363081539530233283369280975652667214681769929208952241414301794026865612481543012195837279182438754155701097644857854079623466668709643215398532981438345570141138}
23505 126912343866214895233972332411564780412555040843288845648561171593067144198826: {352455,375952,422946,2042151,3026211,4809095,4990803,5770914,5797831,6213455,7230291,7456146,7558306,9184803,9718055,9811714,10375066,10797580,10989139,11412771,11565287,11661666,11816495,12122099,12151762,12409811,12663303,12957096,13357203,14179794,14576733,14743203,15306695,15573651,15698770,16265031,16342559,17359660,17508003,17557804,18368034,18580783,18838524,18907954,19483055,19718927,20177855,20400711,20776819,20831592,20872295,21774471,23379666,23435541,24213426,24925011,24975272,25046754,25899202,26213746,28097181,28264319,29151303,29681170,29830803,30373971,30645411,30856252,31052391,31233523,31444402,31735496,31775842,31865703,31998076,32001171,32077039,32966482,33449025,33895203,34435491,35110311,35198999,35376172,35402687,35617404,35678960,35702433,35943154,36058895,36998860,37265703,37300207,40066487,40138830,41006332,41290503,41550082,41899305,42814752,42851699,43270674,43294803,43961703,44061619,44080360,44095011,44269055,44361724,44379863,44398632,44445466,44668691,44692592,45124559,45394060,45452722,46313495,47190034,47287203,48166596,48354695,49142931,49590405,49880125,49948461,49989004,50069031,50279166,50349585,50484599,51071255,51258003,51299122,51917703,52016039,52896432,53104895,53122866,53245906,53286010,53677939,53706224,54472872,54850783,55135295,55207203,55576194,55994451,58025634,58351011,58436914,58612371,58992652,59117687,59357260,59423539,59508486,59561602,59619682,59644893,59787303,59856150,59867368,59917731,60258991,60419502,60736031,60826876,61281981,61285506,62910951,62945170,63725874,63846560,63896255,63943212,64467591,64567655,64885427,64905442,64932460,65632803,65727791,66162354,66208319,66870844,66925203,67350789,67456831,67919255,68588495,68730531,68859303,69631431,70659591,70860307,71005825,71228712,71429703,71827380,71942631,72514007,72845383,73263095,73284460,73379752,73479111,73708159,73929455,73948882,74623603,74761505,74776823,75215404,75534204,75645359,76065580,76359045,76615872,76675506,76682770,77305191,77481186,77918952,77920055,78001559,78444499,79962191,80040296,80132301,81449648,81503106,81741651,82120551,82246803,82306194,82552221,83878519,84445324,84596776,84890770,85206990,85385911,85415431,86192856,86455564,86521895,86596066,87472882,87658821,87839855,87915714,87941352,88563629,88715346,89597452,89713806,90045333,90887456,90903625,91149351,91278696,91628914,91630854,91785095,92019324,92577919,92722060,92725847,92824402,93097295,93387111,93504066,94255251,94626951,95171373,95178706,95245306,95245971,95988003,96966963,97025255,97222803,97678655,97752527,98332071,98859826,98934021,98947491,99636695,99666322,99685203,...,1758048000443299661569245508664605032626891211693098133739757761200478132821230875142103522322132144924771969523189451777423798203827708118011807692629662448598233777468964994006493555949509606795926264138667599218494625024239415822489961815274379495434973926223509084865544021415945695096002395915579334798413839330577831855937617144694958392134342948187720460137986557837692494198687138373835885076523231111468051333762919366289982486397755595775873426301189889381961461573064617902521985362526810879795728016687176872073323186797088529685923318236707270243719234325935409313644236610714814257920097488391325250978973906510035507910585784875157721406889226705857457443896637314957219834454098539401210654028072298088441070248277340004489354856180937089290425764471506696917086149492512854688686011399318328491341259973405068639506196359839752340250632675423323477147612939866695387324281635131471590642929925681115131474862920222284065576266834973490937054957442443664988707923621350985621515700981129995659047776773337557952585524701819321328432204755652005257034156212683597347182481367616418427220382163088468817459361032946247846250555442111753598444992027542583973956845415184158683205910458537355384132846494286488380709238610321687673534271566118471720904882938093767043937762641449453250681120229143633705219795299653463695061417860386537020124278767161155385561035825692373914169908348971694619118993367485550797540692021914088615708340610455178229871571421063117181597060493500152238243919220736042291552079302311313844868147439547387132120693055265542011286755939068122470837084255160133220582195079831623226768017605459858181869567056400384897043362756531516246319050424768069602176721509347027276019732559461064423315560649658003882572188818999245478512753868257424214737227507779431569548919183187792368139893177168742580843870874275783678656552206385173780168206877412569561345189026950662517604540161906559250235249241064994299542501294479867161736798317545597229056110653327539935055534533087178466681773207184723309385072971292942834975687101994244010729361420015849042683323736198465034900143389504052415987613718784334050297545390548724527797643710741252574617835006641314213051131656589693193889059968635620257335277290154193910937633661571828738085341059653681123488157627842256668491808548160962991479454183823808071857347384992038766648380134817341692806279333545269752900759093921656440068919914352383597744813469819451642999514851184068694301398014538065474077418717811350227333206574574297060250510171919682214158762660211144417994491568785857196388100876076674550233685360925908264806677691907908138630713590106378999259905867040646466864201768403523884605175893165331314702362879622387996454010524540610412362426363891567465387226432940298388576440221995993135339710633610132792787382285575507693480997360606312880616238674762562409831420886568605086888070026358913824269283681723864585734845544888227752861109281045403019881925445145039774052736890743469191478494048049879531053308763630360834721747907338672648618877646814344985867527032323859335633166753504832890931889133877873517723560798501579361441836053727802374234253484744133325566560512438371421533555317899283706571851481634578490662514730311982005993713428938655755663785945893896557474286382220629161029016596006613946819491353235830147452868348080617125029781813797397761292996219507344202503010252873320676888924819897339503538544896713534549652077102740641519043596362147145291677057990046576399711288006113644598934517736285586476473011315424803673000202643541621761355901698814544622309295349925053921463479000822022654893813428362121452691040298418722314518293755918773658131233551646467286781119435200003064464823097799472157518355211707}
23506 127362833673194162499972637910137931527398226226942843821292348598904806335247: {328958,469940,563928,634419,1102573,1383373,1455326,2084113,2503693,2722868,3201553,3420926,3480193,3897613,4034948,4036609,4175533,5284333,6654404,7350913,7694552,8036173,8656371,8992513,8998046,9640388,9673453,9829646,9941528,10216909,10352593,10759213,11029933,11184219,11337459,11570509,12246404,12867758,12916909,13051153,13496975,13721293,14242958,14717571,14789773,14923009,15217028,15340526,15548888,15562599,15614558,16196370,16383853,16884404,17255726,17276128,17492499,17809604,18099073,18227643,18361873,18755533,18906392,19435644,19540909,19657604,19979486,20063053,20764868,21269691,21335966,21686708,21699575,21853363,21947255,22418558,23344004,23548155,24490712,24582673,24838273,24845966,25118032,25984909,26039490,26336706,27200948,27252109,27378433,27552051,27768559,27775456,28008973,28257786,28361931,28386433,29032628,29399246,30388609,31172888,31219090,31242563,31247388,31506733,31630609,31754413,32284568,32865409,33117758,33233348,33395672,35069499,35313409,35756558,36320139,36405613,37462908,37570131,37732609,38570315,38642606,38848803,38868404,39106018,39320619,39528109,39669370,39774404,39948686,39997595,40498628,40834513,40860548,41189293,41403188,42014593,42290558,42487604,42668228,43070509,43771213,44220215,44521755,44598700,44701453,44933293,45193604,45511633,45910286,45913988,46248575,46284378,46813748,46992946,47166603,47196206,47489872,47578753,47603244,47663763,47709566,47997114,49449723,49687604,49848193,50267726,50635693,50972113,51257915,51531373,52383947,53064258,53308909,53426106,53518440,53571806,53914731,54077966,54520273,54836126,54958609,55054004,55100450,55395793,55452155,55498290,55865740,56158093,56742575,57086336,57133009,57694232,57726404,57779713,58615604,58744909,58793348,59198176,59385133,60208245,60763393,60868909,61103726,61500493,61509498,61920109,62325123,62486255,63049604,63897553,64080206,64207283,64222128,64906011,65133073,65523908,65950993,66120540,66542586,66597948,66668199,66758708,67038888,67068109,67132780,67169233,67673773,67771646,68091090,68176513,68179083,68344004,68750558,69223604,70035259,70465933,70528576,70564609,70785051,70830488,70958593,71268442,71547409,71938513,72249894,72630496,72643166,73609604,73740815,74022179,74101592,74196575,74356813,74548333,74659268,74834210,74835073,74983506,75418749,76018958,76033595,76259006,76824109,76918033,76948683,77156651,77199373,77217758,77367512,77801348,78149828,78781393,79150609,79242733,79344648,79366526,79526524,79684299,79716404,79808200,79868859,79890308,79929015,79977133,80068609,80559336,81165575,81341713,81709308,81714008,83313793,83349827,83364291,83588555,83881268,84967832,85257616,85425409,85508558,85956788,86206573,86444846,86678558,87038451,87495553,87510404,87655371,88135463,88216472,88430509,88488978,88852609,89035890,89233604,89262729,89342403,89429523,89607853,89691409,89784225,89801052,90398366,90629253,91018513,91240314,91429453,91605575,91640708,91724690,91812404,91928259,92083213,92570509,92841908,94019255,94212788,94417755,94539086,94573009,94971616,95081975,95239604,95588811,95674753,95769840,95914818,95923508,96142609,97273646,97358163,97398690,97607053,97954046,97972148,97988113,98805658,99085166,99243531,99270253,99310958,...,2344064000591066215425660678219473376835854948924130844986343681600637510428307833522804696429509526566362626030919269036565064271770277490682410256839549931464311703291953325341991407932679475727901685518223465624659500032319221096653282420365839327246631901631345446487392028554594260128003194554105779731218452440770442474583489526259944522845790597583627280183982077116923325598249517831781180102030974815290735111683892488386643315197007461034497901734919852509281948764086157203362647150035747839727637355582902496097764249062784706247897757648943026991625645767913879084858982147619752343893463317855100334638631875346714010547447713166876961875852302274476609925195516419942959779272131385868280872037429730784588093664369786672652473141574582785720567685962008929222781532656683806251581348532424437988455013297873424852674928479786336453667510233897764636196817253155593849765708846841962120857239900908153508633150560296378754101689113297987916073276589924886651610564828467980828687601308173327545397035697783410603447366269092428437909606340869340342712208283578129796243308490155224569627176217451291756612481377261663795000740589482338131259989370056778631942460553578878244274547278049807178843795325715317840945651480428916898045695421491295627873177250791689391917016855265937667574826972191511606959727066204618260081890480515382693499038356214873847414714434256498552226544465295592825491991156647401063387589362552118154277787480606904306495428561417489575462747324666869650991892294314723055402772403081751793157529919396516176160924073687389348382341252090829961116112340213510960776260106442164302357356807279810909159422741867179862724483675375354995092067233024092802902295345796036368026310079281419231087414199544005176762918425332327304683671824343232286316303343705908759398558910917056490853190902891656774458494499034378238208736275180231706890942503216759415126918702600883356806053549208745666980332321419992399390001725973156215649064423394129638741480871103386580074046044116237955575697609579631079180097295057257113300916135992325347639148560021132056911098314931286713200191186005403221316818291712445400396727187398299370396858280988336766157113342188418950734842208786257591852079958180827009780369720205591881250178215429104984113788079538241497984210170456342224655744730881283988639272245098410762476463179989385022197840179756455590408372444727026337201012125228875253425226552469844796993084626425935523999353134912091592401864019384087298769891623748466969777608766099062747000680229226242952211683546948192557325988758381142928517467834768899400311580481234544353075570255877210851507618120141838665679874489387528622485602357871365179473567857553775086269817172829850661938680699387480549816568485188756620516301910587064518101920295994657513786280844813510390383176380767343591307996480808417174154984899683416546441894515424806782517426701811885099025711575631819447646460726517637003814812374727204026509233926860053032070315854324625588637992064066506041404411684840481112962330543118230198158503529085793314490036043098479114177555671339777187909185511837164690298081064668772481922448071637069832312337979658844434088747349917828562044740423865711608762468642179437987550019640415976007991617905251541007551714594525195409965715176294172214705355461342151929092655137647773529937157797440822833373042418396530348390661626009792270004013670497760902518566426529786004718059862284712732869436136987522025391461816196193722236077320062101866281717341484859465246023648380781968630681753899738230666936858055495681807868931752726163079060466566738561951305334429363539858417904482828603588053731224963086024391674558364877508311402195289715708159246933337419286430797065962876691140282276}
23507 127814912110898175273058530588235416419601810486974075026461216483528985215251: {493437,587425,704910,751904,845892,2182989,3403585,4084302,5043685,5131389,5938669,6052422,6732733,6783697,8318005,8698837,9547813,9618190,9981606,11541828,11595662,12050485,12362893,12426910,12925909,13497069,13605277,14326117,14460582,14744469,14912292,15116612,15308005,16543093,17139757,18265213,18369606,19021285,19301637,19436110,19623428,19953397,20349373,20750132,21078853,21105505,21364437,21429373,21595160,21978278,22262005,22825542,23010789,23130574,23323332,23421837,23501293,23632990,24244198,24294555,24303524,24572005,24819622,24966733,25326606,25883589,25914192,25956085,26714406,27108385,27276277,28248997,28359588,28562389,29060497,29153466,29180005,29221213,29486406,29969229,30613390,31147302,31397540,31589533,31936453,32003949,32530062,32646493,32685118,33627837,34001185,34719320,35016006,35115608,35712853,36085597,36290785,36736068,37161566,37268949,37677048,37815908,38966110,39059235,39437854,39505059,39567709,40306453,40355710,40801422,41424673,41541685,41553638,41598817,41663184,41744590,41836069,42386679,42829693,43548942,44098869,45920737,46759332,46828635,46871082,47325757,48426852,48585505,49676637,49718005,49850022,49950544,50093508,50482453,50623285,50642917,50997133,51075685,51753985,51798404,52427492,52448929,53109505,53335285,53607109,53634837,55748375,56194362,56492005,56528638,57392485,57963909,58102693,58135573,58302606,58517185,58659027,59362340,59504055,59661606,59663617,59911213,59923029,60741229,60747942,61290822,61469173,61712504,61976677,62104782,62109505,62275777,62467046,62888804,63435837,63470992,63551684,63731406,63996152,64002342,64154078,64277053,64639117,64838893,65932964,66072709,66898050,67084933,67696573,67790406,68225797,68728693,68817505,68865429,68870982,69426567,69832175,70220622,70397998,70489419,70752344,70794309,70805374,70935373,71234808,71357920,71404866,71499757,71564349,71886308,71995671,72117790,72158005,72520213,73269505,73491685,73869409,73997533,73997720,74346853,74531406,74600414,74783269,75401589,76437457,77189413,77514973,78008257,78309253,78793453,78812005,79596387,80132974,80139159,80277660,80357709,81035509,81116949,81904885,82012664,82254189,82581006,82650675,83100164,83247435,83448385,83501773,83798610,83915975,84233797,84544813,85430005,85629504,85703398,85850413,86529505,86541348,86589606,87178213,87329953,87430429,87923406,88123238,88160720,88190022,88372609,88538110,88723448,88759726,88797264,88890932,89337382,89385184,89454757,89864269,90249118,90394717,90788120,90905444,91655589,92012005,92264247,92626990,92754469,92938513,93324085,94079509,94380068,94468813,94574406,95086957,96023893,96120309,96333192,96374773,96709390,97251685,97655617,97687285,97760893,98285862,99120733,99180810,99408155,99645505,99760250,99813879,99862885,99896922,99978008,...,3516096000886599323138491017329210065253782423386196267479515522400956265642461750284207044644264289849543939046378903554847596407655416236023615385259324897196467554937929988012987111899019213591852528277335198436989250048478831644979923630548758990869947852447018169731088042831891390192004791831158669596827678661155663711875234289389916784268685896375440920275973115675384988397374276747671770153046462222936102667525838732579964972795511191551746852602379778763922923146129235805043970725053621759591456033374353744146646373594177059371846636473414540487438468651870818627288473221429628515840194976782650501957947813020071015821171569750315442813778453411714914887793274629914439668908197078802421308056144596176882140496554680008978709712361874178580851528943013393834172298985025709377372022798636656982682519946810137279012392719679504680501265350846646954295225879733390774648563270262943181285859851362230262949725840444568131152533669946981874109914884887329977415847242701971243031401962259991318095553546675115905171049403638642656864409511304010514068312425367194694364962735232836854440764326176937634918722065892495692501110884223507196889984055085167947913690830368317366411820917074710768265692988572976761418477220643375347068543132236943441809765876187534087875525282898906501362240458287267410439590599306927390122835720773074040248557534322310771122071651384747828339816697943389238237986734971101595081384043828177231416681220910356459743142842126234363194120987000304476487838441472084583104158604622627689736294879094774264241386110531084022573511878136244941674168510320266441164390159663246453536035210919716363739134112800769794086725513063032492638100849536139204353443018694054552039465118922128846631121299316007765144377637998490957025507736514848429474455015558863139097838366375584736279786354337485161687741748551567357313104412770347560336413754825139122690378053901325035209080323813118500470498482129988599085002588959734323473596635091194458112221306655079870111069066174356933363546414369446618770145942585885669951374203988488021458722840031698085366647472396930069800286779008104831975227437568668100595090781097449055595287421482505149235670013282628426102263313179386387778119937271240514670554580308387821875267323143657476170682119307362246976315255684513336983617096321925982958908367647616143714694769984077533296760269634683385612558667090539505801518187843312880137839828704767195489626939638903285999029702368137388602796029076130948154837435622700454666413149148594120501020343839364428317525320422288835988983137571714392776201752153349100467370721851816529613355383815816277261427180212757998519811734081292933728403536807047769210351786330662629404725759244775992908021049081220824724852727783134930774452865880596777152880443991986270679421267220265585574764571151015386961994721212625761232477349525124819662841773137210173776140052717827648538567363447729171469691089776455505722218562090806039763850890290079548105473781486938382956988096099759062106617527260721669443495814677345297237755293628689971735054064647718671266333507009665781863778267755747035447121597003158722883672107455604748468506969488266651133121024876742843067110635798567413143702963269156981325029460623964011987426857877311511327571891787793114948572764441258322058033192013227893638982706471660294905736696161234250059563627594795522585992439014688405006020505746641353777849639794679007077089793427069099304154205481283038087192724294290583354115980093152799422576012227289197869035472571172952946022630849607346000405287083243522711803397629089244618590699850107842926958001644045309787626856724242905382080596837444629036587511837547316262467103292934573562238870400006128929646195598944315036710423414}
23508 128268584744968800004711333803774006141765699293309384275102242977482128334678: {258467,657916,939880,1057365,1127856,1268838,1430267,2205146,2550491,2766746,2910652,3201827,3248291,3526907,4168226,4222187,4592267,4915667,5007386,5330891,5445736,5561291,5975507,6126453,6403106,6526787,6841852,6960386,7122707,7214267,7795226,8069896,8073218,8082491,8351066,9078633,9447491,9719627,10353491,10568666,10760147,11030891,11211227,11301347,12559667,13097027,13308808,13454627,13767107,13900907,14427285,14435387,14701826,14791067,14972409,15389104,15766547,15987707,16072346,16826291,17222507,17312742,17393493,17486291,17881427,17985026,17996092,18363491,18407267,18640365,18800891,18895765,19019291,19280776,19346906,19411907,19659292,19883056,20064827,20433818,20705186,21149027,21235547,21518426,21690873,21797147,22012787,22059866,22368438,22443467,22674918,23141018,23345291,23816267,24492808,24529285,25010747,25735516,25833818,25937665,26102306,26790707,26993950,27128147,27380891,27422987,27442586,27549227,27554409,27801491,28430891,28485916,29154165,29267291,29435142,29579546,29846018,30142067,30379405,30434056,30681052,30726157,30930491,31097776,31125198,31229116,31550891,32392740,32416427,32621987,32767706,32967417,33237467,33646787,33768808,34238313,34463027,34511452,34552256,34625891,34695861,34984998,34991867,35449485,35600387,35619208,35802827,36198146,36207107,36366297,36408947,36449291,36455286,36723746,36923029,37229433,37254491,37495427,37511066,37812784,37896347,37989909,38871288,39081818,39246925,39315208,39958972,40007867,40071609,40126106,40285067,41193107,41529736,41665187,42018491,42057707,42539382,42605891,42671932,42762227,43347347,43373416,43399150,43541987,43706726,43730199,43894510,44229609,44744291,44837116,45169067,45515891,45554387,45920085,46130867,46688008,46720953,47096310,47269885,47621291,48418787,48532427,48721667,48795093,48981424,49027677,49165346,49514291,49676546,49691932,49740107,50236064,51424547,51536267,51969818,52078980,52093787,52524009,52673412,53424491,53975891,53998441,54401896,54504218,54525491,54744827,54756866,55104102,55437491,55537118,55550912,55742349,55996633,56017946,56163491,56515572,56525291,56723862,56772866,57066491,57569987,57785291,57821147,58000307,58065256,58449165,58798492,59156781,59710067,59922491,60533565,60769307,60777218,61202133,61506491,61541507,61908301,62330457,62345776,62438180,62485126,62494776,62616885,62692547,63013466,63261218,63420491,63508826,63593291,64419947,64569136,64660187,64748005,65323413,65344427,65534365,65730818,65991491,66235516,66466696,66791344,66804707,67209587,67478867,67680491,67714067,68216747,68484107,69316307,69382667,70138998,70209467,70306623,70308347,70505891,70626818,70801667,70998491,71195027,71358587,71513116,71761081,71945747,72640278,72811226,74202925,74396291,74775033,74925816,75140262,75224027,75465218,75635867,76643867,76957187,77140630,77285212,77519147,77633017,77697606,77736808,78047507,78140507,78212036,78326291,78611005,78641238,78820307,79056218,79250891,79338740,79434947,79439605,79548808,79897372,79985387,79995190,80015891,80997256,81380291,81669026,81711347,81721096,81981491,82161227,82378586,82416205,82430291,82549667,82806376,82996187,84029186,84291543,84383627,84581116,84792957,84910307,84975208,85336456,85637507,86141018,86244491,86417267,86847947,86933867,87453909,87480757,87533291,87542426,87675491,88440430,88693427,89043510,89114507,89197400,89226491,89402906,89492409,89645291,89857885,89866586,90034547,90387208,90780827,91023266,91121913,91185133,91820572,91827976,91936233,92093147,92120291,92364227,92497150,92568756,93155689,93157173,93226307,93627496,93627587,93700569,93973907,93985892,94333206,94392412,94767947,94925891,94979744,95157506,95162267,95206488,95327526,95419132,95597109,95994228,96003513,96230891,96231117,96463667,96618491,97541387,97617827,98024291,98176187,98403491,98504341,98899446,99281291,99306227,99375208,99380987,99430787,99696386,99902291,...,5274144001329898984707736525993815097880673635079294401219273283601434398463692625426310566966396434774315908569568355332271394611483124354035423077888987345794701332406894982019480667848528820387778792416002797655483875072718247467469885445823138486304921778670527254596632064247837085288007187746738004395241517991733495567812851434084875176403028844563161380413959673513077482596061415121507655229569693334404154001288758098869947459193266787327620278903569668145884384719193853707565956087580432639387184050061530616219969560391265589057769954710121810731157702977806227940932709832144442773760292465173975752936921719530106523731757354625473164220667680117572372331689911944871659503362295618203631962084216894265323210744832020013468064568542811267871277293414520090751258448477538564066058034197954985474023779920215205918518589079519257020751898026269970431442838819600086161972844905394414771928789777043345394424588760666852196728800504920472811164872327330994966123770864052956864547102943389986977143330320012673857756574105457963985296614266956015771102468638050792041547444102849255281661146489265406452378083098838743538751666326335260795334976082627751921870536245552476049617731375612066152398539482859465142127715830965063020602814698355415162714648814281301131813287924348359752043360687430901115659385898960391085184253581159611060372836301483466156683107477077121742509725046915083857356980102456652392622076065742265847125021831365534689614714263189351544791181480500456714731757662208126874656237906933941534604442318642161396362079165796626033860267817204367412511252765480399661746585239494869680304052816379574545608701169201154691130088269594548738957151274304208806530164528041081828059197678383193269946681948974011647716566456997736435538261604772272644211682523338294708646757549563377104419679531506227742531612622827351035969656619155521340504620632237708684035567080851987552813620485719677750705747723194982898627503883439601485210394952636791687168331959982619805166603599261535400045319621554169928155218913878828504927061305982732032188084260047547128049971208595395104700430168512157247962841156353002150892636171646173583392931132223757723853505019923942639153394969769079581667179905906860772005831870462581732812900984715486214256023178961043370464472883526770005475425644482888974438362551471424215572042154976116299945140404452025078418838000635809258702277281764969320206759743057150793234440409458354928998544553552206082904194043614196422232256153434050681999619723722891180751530515759046642476287980633433253983474706357571589164302628230023650701056082777724794420033075723724415892140770319136997779717601121939400592605305210571653815527679495993944107088638867163989362031573621831237087279091674702396161679298820895165729320665987979406019131900830398378362146856726523080442992081818938641848716024287687229494262659705815260664210079076741472807851045171593757204536634664683258583327843136209059645776335435119322158210672230407574435482144149638593159926290891082504165243722016017945856632940443034957602581096971578006899500260514498672795667401633620553170682395504738084325508161183407122702760454232399976699681537315114264600665953697851119715554444903735471987544190935946017981140286815967266991357837681689672422859146661887483087049788019841840458474059707490442358605044241851375089345441392193283878988658522032607509030758619962030666774459692018510615634690140603648956231308221924557130789086441435875031173970139729199133864018340933796803553208856759429419033946274411019000607930624865284067705096443633866927886049775161764390437002466067964681440285086364358073120895256166943554881267756320974393700654939401860343358305600009193394469293398416472555065635121}
23509 128723857160419231101427500701628953222232447798952816011080022294784074036053: {23509,822395,986874,1174850,1409820,1503808,1691784,1903257,3307719,3638315,4150119,4365978,4765019,6252339,6807170,7018427,7061159,7511079,7581779,8168604,8552315,9604659,10087370,10262778,10440579,11283779,11645207,11692839,11877338,12104844,12109827,12526599,13465466,13567394,13817351,15852999,16636010,16870679,17268647,17397674,19095626,19156199,19236380,19963212,21431207,22052739,22495115,22532567,23083656,23191324,24049259,24100970,24108519,24297947,24574115,24725786,24853820,25851818,25969113,26266151,26629799,26977539,26994138,27210554,28652234,28921164,29020359,29488938,29506139,29547707,29824584,30233224,30616010,30650727,31057779,31166807,32169395,32277639,32479379,32649287,33086186,33089799,33552657,34012377,34138967,34279514,34400807,34711527,35544827,35607395,36338519,36530426,36739212,37951739,38042570,38351315,38582219,38603274,38750727,38872220,39036395,39153459,39246856,39906794,40490925,40698746,40852007,41163879,41500264,42157706,42206099,42211010,42728874,42858746,43139315,43190320,43956556,44152713,44281547,44369319,44524010,44769027,45651084,46021578,46261148,46646664,46687797,46843674,47002586,47265980,47601659,47634899,48488396,48589110,48607048,49144010,49151559,49442627,49639244,49933466,49948715,50653212,50807099,51767178,51828384,51912170,52477497,53339915,53428812,54216770,54297219,54552554,54682929,55085619,56046395,56266599,56497994,56719176,57124778,57304151,58120994,58158359,58306932,58360010,58442426,58614611,58622727,58972812,59938458,60189159,60269339,61226780,62114915,62294604,62795080,63179066,63200699,63809073,63872906,64007898,65060124,65098725,65292986,65370236,65560089,65841765,66959591,67255674,67412519,68002370,68019707,68666819,69239687,69438640,69602339,69605207,70032012,70231216,70644465,70872599,71425706,71505959,71727947,72171194,72243719,72455579,72581570,73472136,73498115,73748019,73875731,74323132,74353307,74514819,74537898,74669399,75354096,75631816,77521607,77932220,77954727,78047725,78118470,78800219,78875708,78963851,79010118,79088807,79135418,79280711,80349479,80612906,80711420,81224819,81602844,81756327,81924059,82135299,82656153,82794395,82849346,83083370,83107276,83197634,83305677,83326368,83489180,83672138,84026919,84351047,84773358,85085793,85159299,85430099,85659386,86953307,87097884,87185699,87337427,88063271,88197738,88212779,88380227,89059259,89391395,91165827,91841474,92547299,92946467,93325511,93379847,93518664,93657270,93727689,93742164,94520199,94651514,94891827,95259347,95263239,96344507,96606515,96853704,97171010,97472099,97765045,98596227,99173425,99353274,99436010,99700044,99871715,99901088,...,7032192001773198646276982034658420130507564846772392534959031044801912531284923500568414089288528579699087878092757807109695192815310832472047230770518649794392935109875859976025974223798038427183705056554670396873978500096957663289959847261097517981739895704894036339462176085663782780384009583662317339193655357322311327423750468578779833568537371792750881840551946231350769976794748553495343540306092924445872205335051677465159929945591022383103493705204759557527845846292258471610087941450107243519182912066748707488293292747188354118743693272946829080974876937303741637254576946442859257031680389953565301003915895626040142031642343139500630885627556906823429829775586549259828879337816394157604842616112289192353764280993109360017957419424723748357161703057886026787668344597970051418754744045597273313965365039893620274558024785439359009361002530701693293908590451759466781549297126540525886362571719702724460525899451680889136262305067339893963748219829769774659954831694485403942486062803924519982636191107093350231810342098807277285313728819022608021028136624850734389388729925470465673708881528652353875269837444131784991385002221768447014393779968110170335895827381660736634732823641834149421536531385977145953522836954441286750694137086264473886883619531752375068175751050565797813002724480916574534820879181198613854780245671441546148080497115068644621542244143302769495656679633395886778476475973469942203190162768087656354462833362441820712919486285684252468726388241974000608952975676882944169166208317209245255379472589758189548528482772221062168045147023756272489883348337020640532882328780319326492907072070421839432727478268225601539588173451026126064985276201699072278408706886037388109104078930237844257693262242598632015530288755275996981914051015473029696858948910031117726278195676732751169472559572708674970323375483497103134714626208825540695120672827509650278245380756107802650070418160647626237000940996964259977198170005177919468646947193270182388916224442613310159740222138132348713866727092828738893237540291885171771339902748407976976042917445680063396170733294944793860139600573558016209663950454875137336201190181562194898111190574842965010298471340026565256852204526626358772775556239874542481029341109160616775643750534646287314952341364238614724493952630511369026673967234192643851965917816735295232287429389539968155066593520539269366771225117334181079011603036375686625760275679657409534390979253879277806571998059404736274777205592058152261896309674871245400909332826298297188241002040687678728856635050640844577671977966275143428785552403504306698200934741443703633059226710767631632554522854360425515997039623468162585867456807073614095538420703572661325258809451518489551985816042098162441649449705455566269861548905731761193554305760887983972541358842534440531171149529142302030773923989442425251522464954699050249639325683546274420347552280105435655297077134726895458342939382179552911011444437124181612079527701780580159096210947562973876765913976192199518124213235054521443338886991629354690594475510587257379943470108129295437342532667014019331563727556535511494070894243194006317445767344214911209496937013938976533302266242049753485686134221271597134826287405926538313962650058921247928023974853715754623022655143783575586229897145528882516644116066384026455787277965412943320589811473392322468500119127255189591045171984878029376810012041011493282707555699279589358014154179586854138198608308410962566076174385448588581166708231960186305598845152024454578395738070945142345905892045261699214692000810574166487045423606795258178489237181399700215685853916003288090619575253713448485810764161193674889258073175023675094632524934206585869147124477740800012257859292391197888630073420846828}
23510 129180734961700972135664055951461618463602000358413586197651246257509710848119: {305461,516934,868501,1315832,1480311,1762275,1851049,1879760,2114730,2255712,2537676,2860534,3248569,4410292,4638889,5100982,5533492,5607829,5821304,6403654,6496582,6548967,6573241,7053814,7123321,7260661,7809301,8336452,8444374,8493481,8766649,9184534,9831334,10014772,10128169,10210755,10535221,10661782,10891472,11122582,11482489,11951014,12252906,12560761,12806212,13053574,13683704,13920772,14245414,14428534,15131055,15394167,15590452,16139792,16146436,16164982,16563241,16695541,16702132,17487829,17816007,18157266,18408889,18894982,19439254,19457209,20198199,20351091,20706982,21137332,21150901,21520294,21799081,22061782,22422454,22602694,22703509,23861161,23989429,24045475,24954015,25119334,25268149,26096511,26194054,26454071,26617616,26909254,27425449,27534214,27551701,27801814,28643439,28854570,28870774,28989155,29311669,29403652,29582134,29944818,30560149,30778208,30933289,31067275,31533094,31925161,31975414,32144692,32172409,32419369,32666041,33652582,34017589,34340999,34384681,34445014,34625484,34786986,34972582,35762854,35970052,35992184,36151455,36312731,36452629,36726982,36814534,36936181,37088679,37280730,37539001,37601782,37791530,38038582,38140021,38260009,38561552,38693812,38739241,38777727,38823814,39318584,39766112,40129654,40288789,40491207,40815831,40867636,41410372,41708341,42061609,42298054,42471094,42531167,42766201,42883381,42978351,43036852,43234489,43351381,43381746,43584949,43594294,43636307,44025574,44119732,44233407,44736876,44886934,45211861,45349836,45558649,45924015,46282036,46690582,47632534,48590275,48985616,49058570,49556629,49629279,49669561,50021494,50120569,50458069,51419271,51471032,51667636,51875330,52204612,53466409,53581414,53987900,54256294,54761782,54795639,54845974,54885172,54945695,55098454,55108818,55602982,56861782,56971832,57063855,57395881,57826435,57826729,57904911,58041721,58308330,58534582,58870284,59082475,59159092,59692036,59860191,60069781,60284134,60610495,60758810,60868112,61048119,61362104,61452314,61547509,61860982,62049055,62195552,62250396,62458232,62698681,62907049,63101782,63236559,63316515,63634069,64093311,64288119,64357561,64460629,64769401,64785480,64832854,65243974,65535412,65934834,66177839,66474934,66786015,67293574,67537616,67720789,68476626,68926054,69022904,69032367,69104512,69251782,69391722,69422761,69969996,69983734,70018489,70265511,70315381,70503879,70808761,70898970,71200774,71238416,71398441,71605654,72375481,72396292,72414214,72732594,72817894,72883665,72898582,72910572,73151929,73248661,73441909,73447492,73716015,73827541,73846058,74458866,74508982,74786581,74900199,74990854,75022132,75263401,75625568,75792694,75979818,76533475,76588921,77527081,77650767,77742576,77868255,78086521,78163636,78365269,78458041,78493850,78630416,79473781,79917944,80015734,80024149,80143218,80252212,80570134,80753941,81117109,81325155,81712795,81749881,81828831,82019989,82199701,82317631,82386214,82558261,83004841,83059472,83330374,84036982,84115414,84421801,84685429,84746991,85078764,85211782,85343864,85524454,85687167,86694694,86746832,86798300,86857129,86943061,87083974,87181491,87413452,87460398,87540015,87663639,87713209,87789020,88459218,88731001,89488582,89674232,89907687,90238249,90338134,90647207,91031782,91108774,91748111,91840170,91967221,92130229,92261734,92374201,92455381,92903915,93343609,93376016,93441906,93584341,94063861,94192620,94539770,94768599,95172661,95242582,95329909,95809359,96011847,96267349,96837574,97064854,97415275,97443334,97590186,97939479,97959061,97962848,98055354,98330692,98414389,98594635,99028582,99317269,99353092,99383864,99480214,...,10548288002659797969415473051987630195761347270158588802438546567202868796927385250852621133932792869548631817139136710664542789222966248708070846155777974691589402664813789964038961335697057640775557584832005595310967750145436494934939770891646276972609843557341054509193264128495674170576014375493476008790483035983466991135625702868169750352806057689126322760827919347026154965192122830243015310459139386668808308002577516197739894918386533574655240557807139336291768769438387707415131912175160865278774368100123061232439939120782531178115539909420243621462315405955612455881865419664288885547520584930347951505873843439060213047463514709250946328441335360235144744663379823889743319006724591236407263924168433788530646421489664040026936129137085622535742554586829040181502516896955077128132116068395909970948047559840430411837037178159038514041503796052539940862885677639200172323945689810788829543857579554086690788849177521333704393457601009840945622329744654661989932247541728105913729094205886779973954286660640025347715513148210915927970593228533912031542204937276101584083094888205698510563322292978530812904756166197677487077503332652670521590669952165255503843741072491104952099235462751224132304797078965718930284255431661930126041205629396710830325429297628562602263626575848696719504086721374861802231318771797920782170368507162319222120745672602966932313366214954154243485019450093830167714713960204913304785244152131484531694250043662731069379229428526378703089582362961000913429463515324416253749312475813867883069208884637284322792724158331593252067720535634408734825022505530960799323493170478989739360608105632759149091217402338402309382260176539189097477914302548608417613060329056082163656118395356766386539893363897948023295433132913995472871076523209544545288423365046676589417293515099126754208839359063012455485063225245654702071939313238311042681009241264475417368071134161703975105627240971439355501411495446389965797255007766879202970420789905273583374336663919965239610333207198523070800090639243108339856310437827757657009854122611965464064376168520095094256099942417190790209400860337024314495925682312706004301785272343292347166785862264447515447707010039847885278306789939538159163334359811813721544011663740925163465625801969430972428512046357922086740928945767053540010950851288965777948876725102942848431144084309952232599890280808904050156837676001271618517404554563529938640413519486114301586468880818916709857997089107104412165808388087228392844464512306868101363999239447445782361503061031518093284952575961266866507966949412715143178328605256460047301402112165555449588840066151447448831784281540638273995559435202243878801185210610421143307631055358991987888214177277734327978724063147243662474174558183349404792323358597641790331458641331975958812038263801660796756724293713453046160885984163637877283697432048575374458988525319411630521328420158153482945615702090343187514409073269329366517166655686272418119291552670870238644316421344460815148870964288299277186319852581782165008330487444032035891713265880886069915205162193943156013799000521028997345591334803267241106341364791009476168651016322366814245405520908464799953399363074630228529201331907395702239431108889807470943975088381871892035962280573631934533982715675363379344845718293323774966174099576039683680916948119414980884717210088483702750178690882784386567757977317044065215018061517239924061333548919384037021231269380281207297912462616443849114261578172882871750062347940279458398267728036681867593607106417713518858838067892548822038001215861249730568135410192887267733855772099550323528780874004932135929362880570172728716146241790512333887109762535512641948787401309878803720686716611200018386788938586796832945110131270242}
23511 129639223772771047144689221159090710592168012001083882472470270111093774956552: {47018,775401,1151353,1644790,1973748,2349700,2819640,3007616,3172095,3383568,3806514,4290801,5093641,5512865,6615438,6916865,7276630,7651473,8300238,8473753,8731956,9530038,9605481,9744873,10420565,10580009,10580721,11973241,12504678,12518465,12666561,13614340,13669601,13776801,14036854,14122318,14747001,15022158,15163558,15647153,15992673,16007765,16337208,16683873,17104630,17400965,17926521,18379359,18734153,19209318,19488065,19580361,20174740,20183045,20408401,20525556,20877665,20881158,21368121,21379721,21642801,22110521,22567558,23290414,23385678,23754676,24209688,24219654,24247473,25053198,25996289,26421665,26930932,27134788,27156529,27235899,27634702,28342473,29158881,31060473,31493161,31705998,32280441,33092673,33272020,33633681,33674729,33741358,33904041,34403761,34537294,34795348,36754565,37278721,37679001,38191252,38239961,38312398,38472760,38585521,39291081,39926424,40180865,40363881,41301321,41702721,42862414,42862721,43281855,43306161,44105478,44373201,44391281,44917227,44962565,44990230,45037153,45065134,45919049,46167312,46382648,47299641,47897753,47963121,48098518,48201940,48217038,48367265,48595894,49148230,49451572,49707640,49850353,50478873,50885141,51084545,51667521,51703636,51728153,51762965,51938226,52180479,52458873,52532302,53259598,53644281,53691841,53796065,53955078,53988276,54398453,54421108,54650953,55090473,55149665,55221801,55921095,56321393,56402673,56687295,57057873,57304468,57842328,57852545,58040718,58235721,58977876,59012278,59095414,59649168,60194481,60395041,60466448,61232020,61301454,62115558,62333614,63447081,63706641,64338790,64555278,64584545,64958758,65072619,65255765,65298574,65391441,66038361,66172372,66179598,66225353,67105314,67330401,67484875,68024754,68114489,68277934,68559028,68587061,68606465,68801614,69271813,69423054,69928201,70035873,70374641,71089654,71214790,71448801,72677038,73060852,73168673,73478424,73587855,73948865,74615045,74675881,75032241,75903478,76085140,76580213,76702630,77164438,77206548,77501454,77744440,77812995,78021653,78072790,78306918,78464953,78493712,78970609,79329569,79813588,79982753,80166529,80372121,80981850,81384441,81397492,81704014,81828721,81919265,82142673,82268961,82327758,82647681,82663227,83000528,83404473,84315412,84412198,84422020,85292673,85457748,85717492,86278630,86380640,86960881,87462495,87801873,87913112,88070833,88305426,88563094,88738638,89048020,89066881,89538054,89575961,90426201,90495365,91138215,91302168,91809365,92043156,92178471,92522296,92791473,93293328,93375594,93687348,93777665,94005172,94531960,94652673,95203318,95269798,96771029,96976792,97178220,97214096,97249281,97391921,97480441,97704545,97865961,98288020,98303118,98590753,98885254,98902251,99278488,99687601,99712401,99866932,99897430,...,15822432003989696954123209577981445293642020905237883203657819850804303195391077876278931700899189304322947725708705065996814183834449373062106269233666962037384103997220684946058442003545586461163336377248008392966451625218154742402409656337469415458914765336011581763789896192743511255864021563240214013185724553975200486703438554302254625529209086533689484141241879020539232447788184245364522965688709080003212462003866274296609842377579800361982860836710709004437653154157581561122697868262741297918161552150184591848659908681173796767173309864130365432193473108933418683822798129496433328321280877395521927258810765158590319571195272063876419492662003040352717116995069735834614978510086886854610895886252650682795969632234496060040404193705628433803613831880243560272253775345432615692198174102593864956422071339760645617755555767238557771062255694078809911294328516458800258485918534716183244315786369331130036183273766282000556590186401514761418433494616981992984898371312592158870593641308830169960931429990960038021573269722316373891955889842800868047313307405914152376124642332308547765844983439467796219357134249296516230616254998979005782386004928247883255765611608736657428148853194126836198457195618448578395426383147492895189061808444095066245488143946442843903395439863773045079256130082062292703346978157696881173255552760743478833181118508904450398470049322431231365227529175140745251572070940307369957177866228197226797541375065494096604068844142789568054634373544441501370144195272986624380623968713720801824603813326955926484189086237497389878101580803451613102237533758296441198985239755718484609040912158449138723636826103507603464073390264808783646216871453822912626419590493584123245484177593035149579809840045846922034943149699370993209306614784814316817932635047570014884125940272648690131313259038594518683227594837868482053107908969857466564021513861896713126052106701242555962658440861457159033252117243169584948695882511650318804455631184857910375061504995879947859415499810797784606200135958864662509784465656741636485514781183917948196096564252780142641384149913625786185314101290505536471743888523469059006452677908514938520750178793396671273171560515059771827917460184909307238745001539717720582316017495611387745198438702954146458642768069536883130111393418650580310016426276933448666923315087654414272646716126464928348899835421213356075235256514001907427776106831845294907960620279229171452379703321228375064786995633660656618248712582130842589266696768460302152045998859171168673542254591547277139927428863941900299761950424119072714767492907884690070952103168248333174383260099227171173247676422310957410993339152803365818201777815915631714961446583038487981832321265916601491968086094720865493711261837275024107188485037896462685497187961997963938218057395702491195135086440570179569241328976245456815925546148072863061688482787979117445781992630237230224418423553135514781271613609903994049775749983529408627178937329006305357966474632016691222723306446432448915779479778872673247512495731166048053837569898821329104872807743290914734020698500781543496018387002204900861659512047186514214252976524483550221368108281362697199930099044611945342793801997861093553359146663334711206415962632572807838053943420860447901800974073513045069017268577439985662449261149364059525521375422179122471327075815132725554125268036324176579851636965975566097822527092275859886092000323379076055531846904070421810946868693924665773671392367259324307625093521910419187597401592055022801390410659626570278288257101838823233057001823791874595852203115289330901600783658149325485293171311007398203894044320855259093074219362685768500830664643803268962923181101964818205581030074916800027580183407880195249417665196905363}
23512 130099329237159442802536996353630732603558541177891228809333457086040507738555: {70527,610922,1033868,1243327,1737002,2467185,2631664,2644087,2937125,2960622,3524550,3702098,3759520,4037647,4176607,4229460,4454311,4511424,5075352,5424007,5709771,5721068,6497138,7215511,8175127,8820584,9277778,9923157,9947911,10201964,10355287,10914945,11066984,11215658,11303311,11642608,11708527,12450357,12807308,12993164,13054567,13097934,13146482,14107628,14246642,14295057,14521322,14660311,14926927,15060127,15618602,15990511,16672904,16888748,16917367,16986962,17017925,17313511,17533298,17577247,18369068,18629311,18757017,19662668,20029544,20256338,20421510,21055281,21070442,21183477,21239311,21323564,21782944,21887311,22245164,22533237,22745337,22964978,23177911,23902028,24505812,24717127,25121522,25218425,25612424,25656945,25991887,26107148,27367408,27385807,27841544,28490828,28519807,28813977,28857068,29272567,29693345,30262110,30788334,31180904,31321737,31639207,31763047,32279584,32292872,32329964,32627911,32997487,33126482,33391082,33404264,33663665,33851337,33918485,34713607,34935621,34975658,35078517,35079511,35444767,35632014,36314532,36329481,36817778,37261327,37579797,37789964,38878508,38914418,39300511,40396398,40584817,40702182,41082511,41318887,41413964,41452053,41590025,42026287,42274664,42301802,43040588,43494185,43598162,44123564,44844908,45177511,45205388,45407018,45524407,47558997,47706367,47722322,47739065,47978858,48090950,48283961,49410607,49908030,50238668,50536298,50612037,50874511,51098647,51570181,51805941,52193022,52388108,52908142,53102911,53235232,53434687,53818508,54206311,54535927,54850898,54974407,55068428,55103402,55520887,55603628,56933311,57149527,57286878,57468597,57709140,57741548,57978310,58333567,58623338,58807304,59164268,59889636,60252425,60886687,60992167,61120298,61556416,61814465,61866578,62134550,63066188,63605767,63850322,63950828,64289384,64293621,64344818,64629545,64838738,65332082,65868511,66158217,67189207,67305164,67485345,67597701,68026385,68035178,68196847,68681998,68769362,68890028,69197287,69250968,69396511,69573972,69893311,69945164,70585807,70684447,71525708,71568967,71630585,71940104,71984368,72057847,72147777,72302910,72325557,72625462,72642127,72836311,72893841,72905258,73453964,73610167,73629068,73722345,73872362,74177358,74283511,74561460,74953327,75078002,75203564,75583060,75714511,76077164,76280042,76520018,76540025,76923973,76941607,77123104,77387624,77478482,77555454,77647628,77907339,78637168,78798453,78805687,79267207,79451311,79532224,79889397,80093407,80184847,80259308,80577578,80932617,80957009,80982414,81276511,81631662,81735272,81908527,82715465,82820744,83339887,83416682,83694847,83960311,84123218,84596108,84854693,84942188,85062334,85277911,85532402,85698785,85766762,85956702,86073704,86468978,86702762,86763492,86868677,87061077,87169898,87188588,87272614,87608767,87994709,88034647,88051148,88239464,88466814,88518417,88643121,89473752,89720167,89773868,89803687,90423722,90699672,91117298,91326065,91458967,91848030,91952181,92194447,92564072,92681527,93173337,93246511,93381164,93500421,93887887,94841311,95106425,95265068,96018511,96252007,96508185,96832917,97180550,97284473,97438137,97562911,97715767,97947861,97971232,98117140,98702311,99113258,99258558,99269397,99339122,99452911,99766985,99974047,...,21096576005319595938830946103975260391522694540317177604877093134405737593854770501705242267865585739097263634278273421329085578445932497416141692311555949383178805329627579928077922671394115281551115169664011190621935500290872989869879541783292553945219687114682109018386528256991348341152028750986952017580966071966933982271251405736339500705612115378252645521655838694052309930384245660486030620918278773337616616005155032395479789836773067149310481115614278672583537538876775414830263824350321730557548736200246122464879878241565062356231079818840487242924630811911224911763730839328577771095041169860695903011747686878120426094927029418501892656882670720470289489326759647779486638013449182472814527848336867577061292842979328080053872258274171245071485109173658080363005033793910154256264232136791819941896095119680860823674074356318077028083007592105079881725771355278400344647891379621577659087715159108173381577698355042667408786915202019681891244659489309323979864495083456211827458188411773559947908573321280050695431026296421831855941186457067824063084409874552203168166189776411397021126644585957061625809512332395354974155006665305341043181339904330511007687482144982209904198470925502448264609594157931437860568510863323860252082411258793421660650858595257125204527253151697393439008173442749723604462637543595841564340737014324638444241491345205933864626732429908308486970038900187660335429427920409826609570488304262969063388500087325462138758458857052757406179164725922001826858927030648832507498624951627735766138417769274568645585448316663186504135441071268817469650045011061921598646986340957979478721216211265518298182434804676804618764520353078378194955828605097216835226120658112164327312236790713532773079786727795896046590866265827990945742153046419089090576846730093353178834587030198253508417678718126024910970126450491309404143878626476622085362018482528950834736142268323407950211254481942878711002822990892779931594510015533758405940841579810547166748673327839930479220666414397046141600181278486216679712620875655515314019708245223930928128752337040190188512199884834381580418801720674048628991851364625412008603570544686584694333571724528895030895414020079695770556613579879076318326668719623627443088023327481850326931251603938861944857024092715844173481857891534107080021901702577931555897753450205885696862288168619904465199780561617808100313675352002543237034809109127059877280827038972228603172937761637833419715994178214208824331616776174456785688929024613736202727998478894891564723006122063036186569905151922533733015933898825430286356657210512920094602804224331110899177680132302894897663568563081276547991118870404487757602370421220842286615262110717983975776428354555468655957448126294487324948349116366698809584646717195283580662917282663951917624076527603321593513448587426906092321771968327275754567394864097150748917977050638823261042656840316306965891231404180686375028818146538658733034333311372544836238583105341740477288632842688921630297741928576598554372639705163564330016660974888064071783426531761772139830410324387886312027598001042057994691182669606534482212682729582018952337302032644733628490811041816929599906798726149260457058402663814791404478862217779614941887950176763743784071924561147263869067965431350726758689691436586647549932348199152079367361833896238829961769434420176967405500357381765568773135515954634088130430036123034479848122667097838768074042462538760562414595824925232887698228523156345765743500124695880558916796535456073363735187214212835427037717676135785097644076002431722499461136270820385774535467711544199100647057561748009864271858725761140345457432292483581024667774219525071025283897574802619757607441373433222400036773577877173593665890220262540484}
23513 130561057018036782252926472066515963634075780256030833806452700556731372294565: {94036,916383,1292335,1550802,2302706,2605503,3289580,3947496,4440933,4699400,5286825,5553147,5639280,6015232,6344190,6767136,7151335,7487887,7613028,7718011,8581602,9177943,9683611,9745707,10187282,11025730,11096107,12503647,12752455,13230876,13833730,13916667,14553260,14588791,14755711,15302946,16009135,16154983,16241455,16600476,16726267,16823487,16947506,17463912,17525851,17634535,18299611,19060076,19210962,19489746,19646901,19719723,20841130,20938171,21110935,21160018,21161442,21369963,21781983,22410871,22961335,23189083,23427903,23946482,24361351,24578335,25009356,25036930,25158631,25266943,25333122,25480443,26299947,26511067,26654455,27228680,27283291,27339202,27553602,27806455,28073708,28244636,28256263,29228731,29494002,29877535,30044316,30327116,30384507,30632265,30722887,31294306,31449031,31605663,31795867,31985346,32015530,32633935,32674416,33367746,33677611,34209260,34447467,34801930,35613535,35853042,36013447,36071335,36758718,36990331,37468306,37682283,38418636,38584951,38976130,39160722,39317143,39387511,39797407,40349480,40366090,40412455,40816802,41051112,41755330,41762316,41846827,42736242,42759442,43285602,44221042,45135116,45393165,45499231,46182501,46432111,46580828,46771356,47237455,47509352,48419376,48439308,48494946,48598135,48976411,49689723,50086623,50106396,50453671,50655943,51119311,51456391,51767455,51992578,52462423,52463487,52843330,53367343,53448021,53800735,53861864,54058411,54267967,54269576,54313058,54471798,55154455,55192591,55226667,55269404,56056135,56253211,56506735,56684946,57103387,58317762,58371627,59638447,60205627,60594597,60798271,61053273,62120946,62291791,62798335,62947591,62986322,63411996,63452703,64196011,64560882,64655743,65397243,65485135,66185346,66544040,67267362,67273135,67349458,67482716,67714171,67808082,68110527,68807522,68835535,69074588,69504535,69590696,70033207,71437147,71518363,71583483,71968287,72136425,72176935,72468151,73509130,73683451,73955335,74016571,74557442,74802607,74862045,75314491,75358002,75648967,75804447,76382504,76479922,76586767,76624796,76656127,76945520,77171042,77209531,78289533,78582162,78813751,78832735,79362213,79839727,79852848,79938535,80361730,80727762,80993563,81056347,81861607,82276347,82602642,82655103,83405442,84131455,84255463,85724828,85725442,85930317,86023831,86112535,86563710,86612322,86967465,87200671,87431455,87452923,87935007,88210956,88746402,88782562,89407135,89795071,89834454,89925130,89980460,90074306,90130268,90418363,91358071,91391707,91680447,91817455,91838098,92036335,92334624,92517871,92765296,92799867,93201825,93753127,94004455,94478825,94599282,95096455,95775483,95795506,95926242,95971387,96049051,96197036,96403880,96434076,96517227,96734530,96779311,97059535,97191788,97258107,97998123,98296460,98687287,98903144,99415280,99700706,...,31644864007979393908246419155962890587284041810475766407315639701608606390782155752557863401798378608645895451417410131993628367668898746124212538467333924074768207994441369892116884007091172922326672754496016785932903250436309484804819312674938830917829530672023163527579792385487022511728043126480428026371449107950400973406877108604509251058418173067378968282483758041078464895576368490729045931377418160006424924007732548593219684755159600723965721673421418008875306308315163122245395736525482595836323104300369183697319817362347593534346619728260730864386946217866837367645596258992866656642561754791043854517621530317180639142390544127752838985324006080705434233990139471669229957020173773709221791772505301365591939264468992120080808387411256867607227663760487120544507550690865231384396348205187729912844142679521291235511111534477115542124511388157619822588657032917600516971837069432366488631572738662260072366547532564001113180372803029522836866989233963985969796742625184317741187282617660339921862859981920076043146539444632747783911779685601736094626614811828304752249284664617095531689966878935592438714268498593032461232509997958011564772009856495766511531223217473314856297706388253672396914391236897156790852766294985790378123616888190132490976287892885687806790879727546090158512260164124585406693956315393762346511105521486957666362237017808900796940098644862462730455058350281490503144141880614739914355732456394453595082750130988193208137688285579136109268747088883002740288390545973248761247937427441603649207626653911852968378172474994779756203161606903226204475067516592882397970479511436969218081824316898277447273652207015206928146780529617567292433742907645825252839180987168246490968355186070299159619680091693844069886299398741986418613229569628633635865270095140029768251880545297380262626518077189037366455189675736964106215817939714933128043027723793426252104213402485111925316881722914318066504234486339169897391765023300637608911262369715820750123009991759895718830999621595569212400271917729325019568931313483272971029562367835896392193128505560285282768299827251572370628202581011072943487777046938118012905355817029877041500357586793342546343121030119543655834920369818614477490003079435441164632034991222775490396877405908292917285536139073766260222786837301160620032852553866897333846630175308828545293432252929856697799670842426712150470513028003814855552213663690589815921240558458342904759406642456750129573991267321313236497425164261685178533393536920604304091997718342337347084509183094554279854857727883800599523900848238145429534985815769380141904206336496666348766520198454342346495352844621914821986678305606731636403555631831263429922893166076975963664642531833202983936172189441730987422523674550048214376970075792925370994375923995927876436114791404982390270172881140359138482657952490913631851092296145726123376965575958234891563985260474460448836847106271029562543227219807988099551499967058817254357874658012610715932949264033382445446612892864897831558959557745346495024991462332096107675139797642658209745615486581829468041397001563086992036774004409801723319024094373028428505953048967100442736216562725394399860198089223890685587603995722187106718293326669422412831925265145615676107886841720895803601948147026090138034537154879971324898522298728119051042750844358244942654151630265451108250536072648353159703273931951132195645054184551719772184000646758152111063693808140843621893737387849331547342784734518648615250187043820838375194803184110045602780821319253140556576514203677646466114003647583749191704406230578661803201567316298650970586342622014796407788088641710518186148438725371537001661329287606537925846362203929636411162060149833600055160366815760390498835330393810726}
23514 131024412798282231393677614208126548985478529144303315947664770012771209933817: {117545,141054,399449,962393,1221844,1570949,1944773,2067736,2271449,2326203,2486654,3454059,3474004,3667049,4111975,4223273,4500953,4934370,5193893,5263328,5288174,5874250,5921244,6115013,7049100,7216133,7261913,7353449,7404196,7519040,8038949,8075294,8353214,8458920,8859173,8908622,9022848,9177449,9516285,9994073,10150704,10220453,10537049,10627433,10848014,11214149,11419542,11442136,11574533,11979353,12428393,12872403,12994276,13100453,13234649,13592153,13904549,14038313,14431022,14706053,14928233,15105833,15280923,16350254,16538595,16566149,17578793,17641168,17886149,18105449,18191575,18555556,18674693,19547813,19846314,19852649,19895822,20403928,20710574,20750595,21241193,21370949,21829890,21889253,22133968,22147973,22431316,22606622,22793513,22954419,23179973,23222873,23285216,23417054,23822633,23825095,24900714,25017449,25145093,25421259,25614616,25986328,26109134,26163653,26195868,26292964,27261893,27430373,27556649,28215256,28493284,28590114,28816443,29042644,29234619,29316953,29320622,29853854,30120254,30150233,30274949,30565673,31237204,31261695,31435493,31740027,31742163,31930949,31981022,32013413,32671973,32754149,33246533,33345808,33492293,33777496,33834734,33973924,34035850,34105433,34472453,34627022,35066596,35092135,35154494,35305795,35488553,35919723,36338213,36738136,36942953,37023449,37258622,37514034,37555395,37906793,37908895,37999683,38026949,38626649,38826149,39105113,39325336,39701573,40059088,40414949,40512676,40843020,41008803,41086313,41322713,41330403,41570683,42069413,42110562,42140884,42366954,42478622,42647128,42761575,42891353,42969449,43242533,43554149,43565888,43774622,44241003,44490328,44602073,45066474,45220313,45490674,45567173,45682649,45929956,46355822,46941459,47129131,47485879,47596649,47804056,47978019,48023295,48166949,48546149,48659753,49011624,49434254,49754213,49867049,50051619,50130053,50243044,50436850,50542553,51224848,51313890,51550949,51983774,52202895,52214296,52590533,53107973,53476613,53779563,53964427,54248153,54687449,54734816,54771614,55138077,55417049,55683088,56202459,56324549,56418895,56938793,56981656,57039614,57062863,57406949,57627954,57714136,57945449,58226035,58464195,58545134,58589273,58741083,58910213,59386690,59550149,59833733,60524220,60549135,60891859,60892613,61033253,61225203,61576668,62188649,62361808,62632995,62643474,62988773,63278414,63526094,63646553,64104363,64139163,64438949,64559168,64585744,64659928,64679273,64782149,64850693,64928403,65255822,65295449,65909033,65994974,66252964,66331563,66782164,66808528,66834691,66925913,67229573,67327330,67702674,67836970,67902053,68237093,68504549,68604713,69086755,69427214,69436613,69502949,69871242,69900293,69951316,70157034,70159022,70329449,70724393,70889534,71264028,72065093,72629064,72658962,72742419,72843653,72875993,73327913,73635556,74291033,74522654,74865449,75159594,75437273,75579928,75753833,76667333,76761449,76980773,77168453,77757016,77828836,77988867,78164549,78257513,78601022,78844613,78937049,79183193,79264995,79459493,79490153,79765733,80010149,80101673,80792796,81169634,81404364,81469587,81707697,81736793,82165022,82366373,82637774,82827928,82904106,83180050,83467049,83703593,84052574,84353395,84549328,84603604,84703193,85024613,85027419,85315973,85751513,86081176,86343235,86530949,86540251,86961449,86988370,87047333,87196324,87476643,88247128,88721753,89590373,89689816,89841113,90007913,90355022,90410776,90481363,90814036,90892649,91048814,91632773,92204393,92475353,92718533,92853353,93181419,93658073,93738149,93924713,94084313,94479483,94534949,95117994,95236939,95412734,95444644,95478130,95586149,95780995,95957716,96029033,96181900,96288473,96495449,96567922,96572933,96830693,96841323,96959273,97573673,97650149,97726553,98031449,98284649,98713253,98821214,99089513,99278019,99414149,99787049,99816060,...,47467296011969090862369628733944335880926062715713649610973459552412909586173233628836795102697567912968843177126115197990442551503348119186318807701000886112152311991662054838175326010636759383490009131744025178899354875654464227207228969012408246376744296008034745291369688578230533767592064689720642039557173661925601460110315662906763876587627259601068452423725637061617697343364552736093568897066127240009637386011598822889829527132739401085948582510132127013312959462472744683368093604788223893754484656450553775545979726043521390301519929592391096296580419326800256051468394388489299984963842632186565781776432295475770958713585816191629258477986009121058151350985209207503844935530260660563832687658757952048387908896703488180121212581116885301410841495640730680816761326036297847076594522307781594869266214019281936853266667301715673313186767082236429733882985549376400775457755604148549732947359107993390108549821298846001669770559204544284255300483850945978954695113937776476611780923926490509882794289972880114064719809166949121675867669528402604141939922217742457128373926996925643297534950318403388658071402747889548691848764996937017347158014784743649767296834826209972284446559582380508595371586855345735186279149442478685567185425332285198736464431839328531710186319591319135237768390246186878110040934473090643519766658282230436499543355526713351195410147967293694095682587525422235754716212820922109871533598684591680392624125196482289812206532428368704163903120633324504110432585818959873141871906141162405473811439980867779452567258712492169634304742410354839306712601274889323596955719267155453827122736475347416170910478310522810392220170794426350938650614361468737879258771480752369736452532779105448739429520137540766104829449098112979627919844354442950453797905142710044652377820817946070393939777115783556049682784513605446159323726909572399692064541585690139378156320103727667887975322584371477099756351729508754846087647534950956413366893554573731125184514987639843578246499432393353818600407876593987529353396970224909456544343551753844588289692758340427924152449740877358555942303871516609415231665570407177019358033725544815562250536380190013819514681545179315483752380554727921716235004619153161746948052486834163235595316108862439375928304208610649390334180255951740930049278830800346000769945262963242817940148379394785046699506263640068225705769542005722283328320495535884723881860837687514357139109963685125194360986900981969854746137746392527767800090305380906456137996577513506020626763774641831419782286591825700899285851272357218144302478723654070212856309504744999523149780297681513519743029266932872232980017458410097454605333447746895144884339749115463945496963797749804475904258284162596481133785511825072321565455113689388056491563885993891814654172187107473585405259321710538707723986928736370447776638444218589185065448363937352337345977890711690673255270659406544343814840829711982149327249950588225881536811987018916073899423896050073668169919339297346747338439336618019742537487193498144161512709696463987314618423229872744202062095502344630488055161006614702584978536141559542642758929573450650664104324844088091599790297133835836028381405993583280660077439990004133619247887897718423514161830262581343705402922220539135207051805732319956987347783448092178576564126266537367413981227445398176662375804108972529739554910897926698293467581276827579658276000970137228166595540712211265432840606081773997321014177101777972922875280565731257562792204776165068404171231978879710834864771305516469699171005471375623787556609345867992704802350974447976455879513933022194611682132962565777279222658088057305502491993931409806888769543305894454616743090224750400082740550223640585748252995590716089}
23515 131489402280551638405835227210676769067095951051797880206653859684883612395132: {188072,211581,1527305,1809269,1832766,2584670,3101604,3729981,4342505,4605412,5211006,6579160,7401555,7894992,7932261,8004293,8811375,8849321,8881866,9255245,9398800,10011869,10257701,10573650,11106294,11278560,12030464,12112941,12529821,12688380,13113581,13362933,13534272,14302670,14975774,15226056,15436022,16242845,16272021,16491677,17129313,17163204,17853437,18355886,18815093,19367222,19491414,20374564,21626813,21646533,22051460,22192214,22412789,22738037,23194445,24525381,24688349,25007294,25504910,26461752,26687909,26893709,27667460,27833334,28039145,29106520,29177582,29511422,29555309,29769471,29843733,30605892,31065861,31331261,32018270,32145869,32309966,32482910,32744835,32866205,32873693,33200952,33452534,33646974,33895012,33909933,34409669,34927824,35051702,35125581,35148917,35269070,35616605,36303305,36599222,37316237,37351071,38120152,38421924,38497133,38929037,38979492,39046505,39163701,39293802,39439446,39800813,40746509,41308853,41682260,41828549,41876342,42221870,42320036,42322884,42467405,42739926,42885171,43124357,43563966,43833245,43980933,44780781,44821742,45180381,45687509,45922670,46378166,46855806,47892964,47971533,48637109,48722702,49156670,49455341,49489253,49858949,50018712,50073860,50317262,50457989,50499869,50533886,50640845,50666244,50752101,50960886,51053775,51940533,52599894,52676105,52731741,52852169,53022134,53308910,54063053,54457360,54566582,54678404,54874313,55107204,55612910,55887933,56147416,56271051,56389397,56489272,56512526,56577437,57412445,57881213,58457462,58988004,59755070,60088632,60654232,60769014,61264530,61445774,61685837,62588612,62803805,62898062,63165843,63211326,63550431,63591734,63717933,63887213,63970692,64031060,65267870,65348832,65661933,66132437,66735492,67355222,67485821,67599711,68037389,68236011,68395277,68418520,68894934,69533733,69603860,69620237,70481801,70772669,71227070,71706084,72026894,72142670,72262301,72474437,73449461,73517436,73980662,74151381,74936612,75321029,75364566,75655275,75868013,76837272,76970835,77169902,77216237,77952260,77975661,78321444,78336269,78478589,78634286,78775022,79109429,79594814,80698960,80732180,80824910,81633604,81868613,82102224,82157421,82816205,83477705,83510660,83524632,83693654,84372893,85472484,85518884,85559421,85880069,86441931,86571204,87439145,87817701,87917669,88085957,88403081,88442084,89080035,90270232,90586217,90786330,90998462,91679189,91956509,92044445,92365002,92525789,92864222,93161656,93542712,93965211,94182389,94247177,94356041,94474910,94906493,94917621,95018704,95289141,96369749,96838752,96878616,96989892,97043693,97196270,97286045,97306349,97883733,97952822,98695733,98992461,99379446,...,63289728015958787816492838311925781174568083620951532814631279403217212781564311505115726803596757217291790902834820263987256735337797492248425076934667848149536415988882739784233768014182345844653345508992033571865806500872618969609638625349877661835659061344046327055159584770974045023456086252960856052742898215900801946813754217209018502116836346134757936564967516082156929791152736981458091862754836320012849848015465097186439369510319201447931443346842836017750612616630326244490791473050965191672646208600738367394639634724695187068693239456521461728773892435733674735291192517985733313285123509582087709035243060634361278284781088255505677970648012161410868467980278943338459914040347547418443583545010602731183878528937984240161616774822513735214455327520974241089015101381730462768792696410375459825688285359042582471022223068954231084249022776315239645177314065835201033943674138864732977263145477324520144733095065128002226360745606059045673733978467927971939593485250368635482374565235320679843725719963840152086293078889265495567823559371203472189253229623656609504498569329234191063379933757871184877428536997186064922465019995916023129544019712991533023062446434946629712595412776507344793828782473794313581705532589971580756247233776380264981952575785771375613581759455092180317024520328249170813387912630787524693022211042973915332724474035617801593880197289724925460910116700562981006288283761229479828711464912788907190165500261976386416275376571158272218537494177766005480576781091946497522495874854883207298415253307823705936756344949989559512406323213806452408950135033185764795940959022873938436163648633796554894547304414030413856293561059235134584867485815291650505678361974336492981936710372140598319239360183387688139772598797483972837226459139257267271730540190280059536503761090594760525253036154378074732910379351473928212431635879429866256086055447586852504208426804970223850633763445828636133008468972678339794783530046601275217822524739431641500246019983519791437661999243191138424800543835458650039137862626966545942059124735671792784386257011120570565536599654503144741256405162022145886975554093876236025810711634059754083000715173586685092686242060239087311669840739637228954980006158870882329264069982445550980793754811816585834571072278147532520445573674602321240065705107733794667693260350617657090586864505859713395599341684853424300941026056007629711104427327381179631842481116916685809518813284913500259147982534642626472994850328523370357066787073841208608183995436684674694169018366189108559709715455767601199047801696476290859069971631538760283808412672993332697533040396908684692990705689243829643973356611213463272807111263662526859845786332153951927329285063666405967872344378883461974845047349100096428753940151585850741988751847991855752872229582809964780540345762280718276965315904981827263702184592291452246753931151916469783127970520948920897673694212542059125086454439615976199102999934117634508715749316025221431865898528066764890893225785729795663117919115490692990049982924664192215350279595285316419491230973163658936082794003126173984073548008819603446638048188746056857011906097934200885472433125450788799720396178447781371175207991444374213436586653338844825663850530291231352215773683441791607203896294052180276069074309759942649797044597456238102085501688716489885308303260530902216501072145296706319406547863902264391290108369103439544368001293516304222127387616281687243787474775698663094685569469037297230500374087641676750389606368220091205561642638506281113153028407355292932228007295167498383408812461157323606403134632597301941172685244029592815576177283421036372296877450743074003322658575213075851692724407859272822324120299667200110320733631520780997670660787621452}
23516 131956031187345907323401789839664845061849074768119740923417635076583309339495: {164563,235090,282108,446443,798898,1009339,1924786,2443688,2749149,3141898,3877005,3889546,4135472,4542898,4652406,4973308,5194339,5756765,6908118,6948008,7125163,7262539,7334098,7816509,8085283,8223950,8446546,8632339,9001906,9868740,10387786,10526656,10537963,10576348,10673539,11215123,11485483,11748500,11842488,12025339,12230026,13322799,14098200,14432266,14523826,14706898,14808392,15038080,15860475,16077898,16150588,16170163,16659441,16699939,16706428,16832203,16917840,17718346,17817244,18045696,18354898,19032570,19854403,19988146,20301408,20440906,21074098,21254866,21454005,21696028,21804883,22428298,22463661,22839084,22884272,23149066,23154033,23224939,23867539,23958706,23995843,24856786,25468205,25744806,25988552,26200906,26469298,27053539,27184306,27533829,27559123,27564325,27809098,28076626,28862044,29050833,29237121,29412106,29444803,29856466,30211666,30561846,31438339,32057539,32700508,32798203,33077190,33132298,33288321,33355133,34584325,34638523,35157586,35282336,35772298,36210898,36220363,36383150,37067083,37111112,37349386,37510941,38257365,38270563,38630203,38869603,39095626,39692628,39705298,39791644,40418683,40807856,41421148,41501190,41750001,42368765,42482386,42741898,42778123,42895339,43012483,43363483,43597123,43659780,43766373,43778506,44267133,44267936,44295946,44644939,44862632,45213244,45587026,45686923,45908838,46359946,46445746,46570432,46834108,46952539,47639203,47645266,47650190,48027405,48209443,48464949,48724365,49128989,49428113,49683643,49801428,50034898,50178801,50247403,50290186,50470461,50842518,51229232,51972656,52102825,52218268,52327306,52391736,52577553,52585928,52595539,52900045,52903605,53072453,53592163,54523786,54692683,54860746,54898833,55113298,55458763,56329963,56430512,56986568,57180228,57412483,57632886,57951043,58085288,58469238,58633906,58641244,58940703,59159169,59707708,59866205,60087283,60240508,60300466,60549898,60722539,61131346,62194723,62474408,62523390,62592325,62814513,62870986,63332805,63445363,63480054,63484326,63776141,63861898,63962044,64026826,64109889,64376539,64479643,65343946,65345949,65506723,65508298,66493066,66691616,66984586,67232613,67437929,67438339,67554992,67669468,67942339,67947848,68071700,68210866,68348005,68884005,68944906,69254044,69543043,69567249,70133192,70184270,70283709,70308988,70611590,70977106,71839446,72676426,72883339,73084053,73270843,73476272,73735005,73885906,73946203,74046898,74517244,75028068,75110790,75475893,75800829,75813586,75817790,75999366,76053898,76441329,76612363,76800643,77253298,77652298,78210226,78235765,78482203,78650672,78899841,78986453,79403146,79498339,79533201,79590283,79963365,80038825,80048923,80118176,80829898,81025352,81516449,81686040,81775339,81849873,82017606,82172626,82584043,82645426,82660806,83141366,83419365,84138826,84221124,84281768,84733908,84768789,84799843,84957244,85294256,85523150,85673563,85782706,85938898,86485066,86970643,87004825,87056539,87108298,87131776,87549244,87686193,87826363,88482006,88759339,88843723,88980656,89204146,89264563,89632605,90132948,90440626,90981348,91134346,91153521,91365298,91669939,91859912,91896795,92168661,92485339,92566483,92711644,92890339,93373963,93614803,93670765,93882918,94174243,94258262,94347093,94816989,94971758,95193298,95361163,95387601,95596603,95608112,95956038,96046590,96333898,96721457,97092298,97149643,97319506,97440325,97901805,98023248,98067643,98868508,99125539,99425203,99508426,99734098,99798163,...,94934592023938181724739257467888671761852125431427299221946919104825819172346467257673590205395135825937686354252230395980885103006696238372637615402001772224304623983324109676350652021273518766980018263488050357798709751308928454414457938024816492753488592016069490582739377156461067535184129379441284079114347323851202920220631325813527753175254519202136904847451274123235394686729105472187137794132254480019274772023197645779659054265478802171897165020264254026625918924945489366736187209576447787508969312901107551091959452087042780603039859184782192593160838653600512102936788776978599969927685264373131563552864590951541917427171632383258516955972018242116302701970418415007689871060521321127665375317515904096775817793406976360242425162233770602821682991281461361633522652072595694153189044615563189738532428038563873706533334603431346626373534164472859467765971098752801550915511208297099465894718215986780217099642597692003339541118409088568510600967701891957909390227875552953223561847852981019765588579945760228129439618333898243351735339056805208283879844435484914256747853993851286595069900636806777316142805495779097383697529993874034694316029569487299534593669652419944568893119164761017190743173710691470372558298884957371134370850664570397472928863678657063420372639182638270475536780492373756220081868946181287039533316564460872999086711053426702390820295934587388191365175050844471509432425641844219743067197369183360785248250392964579624413064856737408327806241266649008220865171637919746283743812282324810947622879961735558905134517424984339268609484820709678613425202549778647193911438534310907654245472950694832341820956621045620784440341588852701877301228722937475758517542961504739472905065558210897478859040275081532209658898196225959255839688708885900907595810285420089304755641635892140787879554231567112099365569027210892318647453819144799384129083171380278756312640207455335775950645168742954199512703459017509692175295069901912826733787109147462250369029975279687156492998864786707637200815753187975058706793940449818913088687103507689176579385516680855848304899481754717111884607743033218830463331140814354038716067451089631124501072760380027639029363090358630967504761109455843432470009238306323493896104973668326471190632217724878751856608417221298780668360511903481860098557661600692001539890525926485635880296758789570093399012527280136451411539084011444566656640991071769447763721675375028714278219927370250388721973801963939709492275492785055535600180610761812912275993155027012041253527549283662839564573183651401798571702544714436288604957447308140425712619009489999046299560595363027039486058533865744465960034916820194909210666895493790289768679498230927890993927595499608951808516568325192962267571023650144643130910227378776112983127771987783629308344374214947170810518643421077415447973857472740895553276888437178370130896727874704674691955781423381346510541318813088687629681659423964298654499901176451763073623974037832147798847792100147336339838678594693494676878673236039485074974386996288323025419392927974629236846459745488404124191004689260976110322013229405169957072283119085285517859146901301328208649688176183199580594267671672056762811987166561320154879980008267238495775795436847028323660525162687410805844441078270414103611464639913974695566896184357153128252533074734827962454890796353324751608217945059479109821795853396586935162553655159316552001940274456333191081424422530865681212163547994642028354203555945845750561131462515125584409552330136808342463957759421669729542611032939398342010942751247575113218691735985409604701948895952911759027866044389223364265925131554558445316176114611004983987862819613777539086611788909233486180449500800165481100447281171496505991181432178}
23517 132424305261079606442277902877907280904390433265538985176940181087134557261771: {352635,376144,423162,1198347,2138227,2887179,3054610,3618538,3665532,4712847,5169340,5834319,6079507,6203208,6216635,6814347,6978609,7459962,8685010,9210824,9459619,10362177,10422012,11001147,12128303,12335925,12669819,12957343,13158320,13220435,13502859,14685625,14803110,15217103,15581679,15789984,15864522,16008586,16350923,17622750,17698642,17763732,18345039,18510490,18797600,19729019,20023738,20188235,20515402,20883035,21125747,21147300,21648399,21785739,22060347,22212588,22236019,22271555,22557120,22739983,22925243,24060928,24116847,24225882,25059642,25346207,25376760,26227162,26577519,26725866,27068544,27120035,27532347,27540623,27878483,28548855,28605340,29827663,29951548,29982219,30452112,30661359,30872044,31611147,31882299,32472223,32485690,32544042,32983354,33041387,33642447,34258626,34326408,34723599,35217083,35706874,35938059,36077555,36711772,37285179,37630186,38282123,38617209,38734444,38982828,39254803,39301359,39703947,40176083,40749128,40776459,40875635,41713647,42114939,42873743,43253626,43293066,43323919,44102920,44118159,44384428,44402699,44784699,44825578,45317499,45476074,45842769,45930863,46012687,46388890,48215603,49050762,49376698,49615785,49698447,49739555,49863247,50014588,50824627,51009820,51776435,52042763,52736379,52923504,53375818,53658447,53787418,54316347,54574725,54665107,55334920,55666668,56024079,56078290,56394223,56516555,56645723,58127663,58213040,58331747,58355164,58487299,58542635,58643439,59022844,59110618,59454367,59538942,59557947,59687466,60392819,61211784,61366543,62131722,62251785,62662522,63723579,63892699,64036540,64112847,64291738,64619932,64965820,65272835,65489670,65667759,65732410,65747386,66242387,66401904,66443919,66905068,67293948,67790024,67819866,68380539,68604707,68819338,68863257,69539919,69668619,69855648,70103404,70251162,70297834,70538140,70897183,70965803,71233210,71467899,71475285,72606610,73198444,73301555,73597907,73746547,74632474,74634635,74702142,75052347,75300635,75435279,76240304,76263777,76843848,76994266,77858074,77958984,78082463,78093010,78327402,78490959,78587604,78878892,79601626,79952555,80377423,80860043,81451919,81493018,81785679,82291119,82617706,82669947,83364520,83640427,83657098,83752684,84443740,84586835,84640072,84645768,84934810,85089625,85479852,85770342,86248714,86449329,86567555,87127932,87666490,87703857,87886235,87925327,87950859,87961866,88397903,88733243,89561562,89599007,89643484,90360762,90450699,90824847,91375018,91697019,91845340,92579227,92756332,92794259,93146555,93711612,93785085,94255243,94306479,95220081,95226489,95785928,95792847,95943066,96040239,97274218,97445404,98015919,98262447,98313340,98910682,98917643,98978506,99713419,99717898,99739599,...,142401888035907272587108886201833007642778188147140948832920378657238728758519700886510385308092703738906529531378345593971327654510044357558956423103002658336456935974986164514525978031910278150470027395232075536698064626963392681621686907037224739130232888024104235874109065734691601302776194069161926118671520985776804380330946988720291629762881778803205357271176911184853092030093658208280706691198381720028912158034796468669488581398218203257845747530396381039938878387418234050104280814364671681263453969351661326637939178130564170904559788777173288889741257980400768154405183165467899954891527896559697345329296886427312876140757448574887775433958027363174454052955627622511534806590781981691498062976273856145163726690110464540363637743350655904232524486922192042450283978108893541229783566923344784607798642057845810559800001905147019939560301246709289201648956648129202326373266812445649198842077323980170325649463896538005009311677613632852765901451552837936864085341813329429835342771779471529648382869918640342194159427500847365027603008585207812425819766653227371385121780990776929892604850955210165974214208243668646075546294990811052041474044354230949301890504478629916853339678747141525786114760566037205558837448327436056701556275996855596209393295517985595130558958773957405713305170738560634330122803419271930559299974846691309498630066580140053586230443901881082287047762576266707264148638462766329614600796053775041177872375589446869436619597285106112491709361899973512331297757456879619425615718423487216421434319942603338357701776137476508902914227231064517920137803824667970790867157801466361481368209426042248512731434931568431176660512383279052815951843084406213637776314442257109209357598337316346218288560412622298314488347294338938883759533063328851361393715428130133957133462453838211181819331347350668149048353540816338477971180728717199076193624757070418134468960311183003663925967753114431299269055188526264538262942604852869240100680663721193375553544962919530734739498297180061455801223629781962588060190910674728369633030655261533764869078275021283772457349222632075667826911614549828245694996711221531058074101176634446686751609140570041458544044635537946451257141664183765148705013857459485240844157460502489706785948326587318127784912625831948171002540767855222790147836492401038002309835788889728453820445138184355140098518790920204677117308626017166849984961486607654171645582513062543071417329891055375583082960702945909564238413239177583303400270916142719368413989732540518061880291323925494259346859775477102697857553817071654432907436170962210638568928514234998569449340893044540559229087800798616698940052375230292363816000343240685434653019247346391836490891393249413427712774852487789443401356535475216964696365341068164169474691657981675443962516561322420756215777965131616123171960786209111343329915332655767555196345091812057012037933672135072019765811978219633031444522489135946447981749851764677644610435961056748221698271688150221004509758017892040242015318009854059227612461580494432484538129089391961943855269689618232606186286507033891464165483019844107754935608424678627928276788720351951992312974532264274799370891401507508085144217980749841980232319970012400857743663693155270542485490787744031116208766661617405621155417196959870962043350344276535729692378799612102241943682336194529987127412326917589218664732693780094880402743830482738974828002910411684499786622136633796298521818245321991963042531305333918768625841697193772688376614328495205212513695936639132504594313916549409097513016414126871362669828037603978114407052923343929367638541799066583835046398887697331837667974264171916507475981794229420666308629917683363850229270674251200248221650670921757244758986772148267}
23518 132894230264149812369716218853745657015307301776170132453655371510857545027595: {329126,470180,564216,634743,892886,1384081,1597796,1664737,2018678,2365117,3481981,3849572,4177681,4455457,4581915,4594237,4887376,5287057,5427807,5498298,5563681,6283796,6461675,7354717,7754010,7779092,8059471,8270944,8314081,9085796,9269917,9304812,9678481,9946616,9950497,10388678,10629277,11035681,11189943,11306257,11513530,12789277,13027515,13816236,13896016,14129917,14250326,14525078,14664157,14668196,14797537,15064081,15633018,15994717,16170566,16447900,16893092,17264678,18003812,18108637,18371581,18634237,18765457,19027681,19737480,19943197,20775572,21053312,21075926,21152696,21347078,21374737,22022557,22204665,22430246,22970966,23497000,23569981,23684976,23796783,24012879,24050678,24460052,24851581,25744417,26434125,26547963,26645598,27765735,28024081,28196400,28653181,28864532,29047652,29413796,29616784,30035607,30076160,30155677,30773103,31151581,31523857,31720950,31771681,32019217,32155796,32301176,32340326,32636797,32760097,33318882,33399878,33412856,33664406,33835680,35210977,35436692,35634488,35655487,35756675,35819197,36091392,36338823,36425617,36709796,37030237,37439435,37589463,38065140,38590055,39340743,39708806,39976292,40088799,40501537,40602816,40881812,41093917,41212177,41684497,42037981,42148196,42509732,42908010,42977437,43392056,43562257,43609766,44856596,44927322,44958481,45190177,45678168,45768157,45768544,45889715,46298132,46308066,46449878,47735078,47917412,47991686,48418055,48728535,48744637,48816063,49475031,49537681,49713572,50888977,50936410,51001117,51387939,51489612,51784081,51977104,52401812,52938596,53560311,54001681,54107078,54368612,54771037,55067658,55118246,55128650,55480535,55618196,56153252,56407777,56445279,56733181,57724088,58028317,58101666,58474242,58671997,58824212,58889606,59316271,59419681,59712932,60423332,61009981,61123692,61746577,62270557,62518235,62876678,63624481,63762275,64115078,64863457,64880439,64939599,65325359,65376637,65401016,65596406,65990077,66154380,66264596,66576642,66702481,66710266,67238367,67915537,68214111,68217181,69168650,69277046,69516817,69583335,70315172,70508257,70564672,70705681,71001277,71394397,71544596,72421796,72440726,72766300,72943955,72955357,73576143,73778555,74060063,74065047,74134166,74222224,74402017,74593681,74620667,74698772,75021882,75262237,75371803,76514730,76541126,77246737,77260406,77739206,78191252,78829981,79385256,79410596,79475857,79583288,80026657,80045675,80063727,80209681,80681127,80774915,80837366,81207275,81392317,81573181,81615712,82024081,82842296,83002380,83187997,83500002,83631335,83812687,84075037,84117435,84737530,84964772,85304797,85483796,85556246,85790678,85827517,86024966,86726966,87194246,87319560,87532746,87557012,87629255,87721981,88147681,88172675,88534266,88535872,88591892,88665927,88740637,89289878,89308413,89531199,89665297,89725264,89832481,90082717,90426488,91174052,91373846,91498055,91652497,91817676,92719892,92891492,93140864,93197583,93668216,93905078,93993783,94555537,95109181,95278406,95290532,95300380,95659297,95687207,96050077,96054810,96418886,96437607,96929898,97448730,97671697,97824481,98234505,98257978,98356957,98598615,98621079,98735137,98810557,98856226,99367286,99486097,99602856,...,189869184047876363449478514935777343523704250862854598443893838209651638344692934515347180410790271651875372708504460791961770206013392476745275230804003544448609247966648219352701304042547037533960036526976100715597419502617856908828915876049632985506977184032138981165478754312922135070368258758882568158228694647702405840441262651627055506350509038404273809694902548246470789373458210944374275588264508960038549544046395291559318108530957604343794330040528508053251837849890978733472374419152895575017938625802215102183918904174085561206079718369564385186321677307201024205873577553957199939855370528746263127105729181903083834854343264766517033911944036484232605403940836830015379742121042642255330750635031808193551635586813952720484850324467541205643365982562922723267045304145191388306378089231126379477064856077127747413066669206862693252747068328945718935531942197505603101831022416594198931789436431973560434199285195384006679082236818177137021201935403783915818780455751105906447123695705962039531177159891520456258879236667796486703470678113610416567759688870969828513495707987702573190139801273613554632285610991558194767395059987748069388632059138974599069187339304839889137786238329522034381486347421382940745116597769914742268741701329140794945857727357314126840745278365276540951073560984747512440163737892362574079066633128921745998173422106853404781640591869174776382730350101688943018864851283688439486134394738366721570496500785929159248826129713474816655612482533298016441730343275839492567487624564649621895245759923471117810269034849968678537218969641419357226850405099557294387822877068621815308490945901389664683641913242091241568880683177705403754602457445874951517035085923009478945810131116421794957718080550163064419317796392451918511679377417771801815191620570840178609511283271784281575759108463134224198731138054421784637294907638289598768258166342760557512625280414910671551901290337485908399025406918035019384350590139803825653467574218294924500738059950559374312985997729573415274401631506375950117413587880899637826177374207015378353158771033361711696609798963509434223769215486066437660926662281628708077432134902179262249002145520760055278058726180717261935009522218911686864940018476612646987792209947336652942381264435449757503713216834442597561336721023806963720197115323201384003079781051852971271760593517579140186798025054560272902823078168022889133313281982143538895527443350750057428556439854740500777443947603927879418984550985570111071200361221523625824551986310054024082507055098567325679129146367302803597143405089428872577209914894616280851425238018979998092599121190726054078972117067731488931920069833640389818421333790987580579537358996461855781987855190999217903617033136650385924535142047300289286261820454757552225966255543975567258616688748429894341621037286842154830895947714945481791106553776874356740261793455749409349383911562846762693021082637626177375259363318847928597308999802352903526147247948075664295597695584200294672679677357189386989353757346472078970149948773992576646050838785855949258473692919490976808248382009378521952220644026458810339914144566238170571035718293802602656417299376352366399161188535343344113525623974333122640309759960016534476991551590873694056647321050325374821611688882156540828207222929279827949391133792368714306256505066149469655924909781592706649503216435890118958219643591706793173870325107310318633104003880548912666382162848845061731362424327095989284056708407111891691501122262925030251168819104660273616684927915518843339459085222065878796684021885502495150226437383471970819209403897791905823518055732088778446728531850263109116890632352229222009967975725639227555078173223577818466972360899001600330962200894562342993011982362864356}
23519 133365811979005190518310971516876659781603183708440403594179760379797486513547: {493689,587725,705270,752288,846324,1339329,1997245,2396694,2843137,3028017,4276454,4811965,5774358,6109220,7237076,7331064,7854745,8247447,8703289,9425694,9723865,10338680,11357245,11572189,11631015,11668638,12159014,12406416,12417217,12433270,13628694,13957218,14333449,14919924,15583017,15732937,17148529,17270295,17370020,17983849,18274561,18335245,18421648,18508609,18919238,19963609,20559875,20724354,20844024,21089641,21116365,21375489,21787617,22002294,22504765,23449527,23611129,24255849,24256606,24671850,25339638,25897017,25914686,25969465,26316640,26440870,27005718,27093469,28055401,28263529,28281217,29236249,29238409,29371250,29606220,29801137,30434206,30575065,31163358,31180177,31579968,31613889,31729044,32017172,32020617,32548009,32701846,33645369,34456449,35220097,35245500,35397284,35527464,35731201,36076017,36080665,36309565,36690078,36767245,36928609,37020980,37595200,37968049,38795977,39458038,39968397,40047476,40090441,40194745,40376470,40971649,41030804,41620189,41766070,42251494,42294600,42548689,43296798,43571478,44120694,44295865,44425176,44472038,44543110,44902681,45114240,45151537,45242509,45479966,45850486,45887245,46444057,47581425,48121856,48233694,48451764,48510489,49573789,49970365,49978323,50099817,50119284,50496609,50508577,50514937,50668969,50692414,50753520,51102265,51540817,52047217,52203169,52454324,52475917,52685245,53137165,53155038,53451732,54072337,54137088,54240070,54281929,55064694,55081246,55756966,56070745,57097710,57210680,57225889,57872665,58165441,58565917,58639801,59408929,59563209,59655326,59896765,59903096,59964438,60904224,61174201,61322718,61744088,62141965,63222294,63764598,64362015,64557841,64672369,64944446,64971380,65088084,65414649,65502265,65730577,65966708,66082774,66173245,67284894,67390983,67960765,68260849,68517252,68652816,68696329,69447198,69462099,69522745,69635377,69674817,70191565,70434166,71413748,71602617,71758717,71794657,71858329,71876118,71987529,72155110,72487009,73423544,73530265,74035609,74570358,74641165,74672329,75260372,75529165,75690817,75789361,76404615,76564246,76675849,77234418,77468888,77965656,78349777,78509606,78602718,79123177,79314721,79356937,79407894,80281969,80352166,81160617,81498256,81552918,81751270,81959689,82601487,82677369,82692975,82830745,83089849,83427294,83544817,84213001,84229878,84277129,85747486,86507252,86586132,86647838,87152499,87475417,87711363,87893965,88205840,88236318,88250689,88334409,88768856,88805398,88907401,89430745,89569398,89651156,90527245,90634998,90952148,90957875,91381969,91685538,91861726,92025374,92168509,92777780,93373465,94315017,94852777,95561869,96172617,96431206,97705789,97739065,98101524,98394609,98753396,99212017,99231570,99263245,99396894,99479110,99726494,99864963,...,284803776071814545174217772403666015285556376294281897665840757314477457517039401773020770616185407477813059062756691187942655309020088715117912846206005316672913871949972329029051956063820556300940054790464151073396129253926785363243373814074449478260465776048208471748218131469383202605552388138323852237343041971553608760661893977440583259525763557606410714542353822369706184060187316416561413382396763440057824316069592937338977162796436406515691495060792762079877756774836468100208561628729343362526907938703322653275878356261128341809119577554346577779482515960801536308810366330935799909783055793119394690658593772854625752281514897149775550867916054726348908105911255245023069613181563963382996125952547712290327453380220929080727275486701311808465048973844384084900567956217787082459567133846689569215597284115691621119600003810294039879120602493418578403297913296258404652746533624891298397684154647960340651298927793076010018623355227265705531802903105675873728170683626658859670685543558943059296765739837280684388318855001694730055206017170415624851639533306454742770243561981553859785209701910420331948428416487337292151092589981622104082948088708461898603781008957259833706679357494283051572229521132074411117674896654872113403112551993711192418786591035971190261117917547914811426610341477121268660245606838543861118599949693382618997260133160280107172460887803762164574095525152533414528297276925532659229201592107550082355744751178893738873239194570212224983418723799947024662595514913759238851231436846974432842868639885206676715403552274953017805828454462129035840275607649335941581734315602932722962736418852084497025462869863136862353321024766558105631903686168812427275552628884514218418715196674632692436577120825244596628976694588677877767519066126657702722787430856260267914266924907676422363638662694701336298096707081632676955942361457434398152387249514140836268937920622366007327851935506228862598538110377052529076525885209705738480201361327442386751107089925839061469478996594360122911602447259563925176120381821349456739266061310523067529738156550042567544914698445264151335653823229099656491389993422443062116148202353268893373503218281140082917088089271075892902514283328367530297410027714918970481688314921004979413571896653174636255569825251663896342005081535710445580295672984802076004619671577779456907640890276368710280197037581840409354234617252034333699969922973215308343291165026125086142834659782110751166165921405891819128476826478355166606800541832285438736827979465081036123760582647850988518693719550954205395715107634143308865814872341924421277137857028469997138898681786089081118458175601597233397880104750460584727632000686481370869306038494692783672981782786498826855425549704975578886802713070950433929392730682136328338949383315963350887925033122644841512431555930263232246343921572418222686659830665311535110392690183624114024075867344270144039531623956439266062889044978271892895963499703529355289220871922113496443396543376300442009019516035784080484030636019708118455224923160988864969076258178783923887710539379236465212372573014067782928330966039688215509871216849357255856553577440703903984625949064528549598741782803015016170288435961499683960464639940024801715487327386310541084970981575488062232417533323234811242310834393919741924086700688553071459384757599224204483887364672389059974254824653835178437329465387560189760805487660965477949656005820823368999573244273267592597043636490643983926085062610667837537251683394387545376753228656990410425027391873278265009188627833098818195026032828253742725339656075207956228814105846687858735277083598133167670092797775394663675335948528343833014951963588458841332617259835366727700458541348502400496443301341843514489517973544296534}
23520 133839056208215312851270617360905882757133671780346370629772827957882152554298: {258599,540431,658252,940360,1057905,1103231,1128432,1269486,1430999,1711631,1785772,2085359,2411951,2768162,3195592,3329474,3482279,3528719,3595041,3807191,4037356,4224359,4502111,4640879,4730234,5195231,5287511,5333639,5610239,5840519,6254519,6414681,6805511,6963962,7217999,7355351,7636525,7675559,7699144,8041031,8177951,8355362,8661537,8910914,8997959,9046345,9163830,9188474,9724679,9774752,9996671,10132559,10358879,10539791,10574114,10630199,10675391,10765751,10855614,10996596,11036639,11127362,11307239,11487479,11577551,11712599,12566231,12567592,12790391,12923350,13238111,13729679,14041991,14138541,14175719,14709434,14709911,15065399,15109799,15508020,15558184,16118942,16172999,16541888,16628162,16702871,16923311,17099519,17495519,17502957,18171592,18238521,18416999,18539834,18609624,18635879,18649905,18679631,18810839,19356962,19857911,19893232,19900994,19944959,19988471,20443041,20509991,20777356,20935827,21258554,21376631,21506351,21712525,21895079,22024511,22071362,22379886,22612514,22713599,22928519,23027060,23357759,23614919,24384671,25151831,25279439,25578554,25746719,25789151,26055030,26170679,27058391,27142751,27395639,27564071,27632472,27792032,27816479,28259834,28378857,28500652,28697639,29050156,29328314,29336392,29450111,29595074,30128162,30158399,30283151,30407831,31086531,31154399,31266036,31526711,31568039,31939631,31989434,32063351,32341132,32639759,32680871,32804159,32886311,32895800,33003441,33501431,33786184,33910511,34237199,34529356,34726271,35254799,35619911,36007624,36217274,36226991,36384909,36469319,36743162,37007775,37073879,37268474,37516079,37530914,37756871,38009457,38037431,38055362,38157551,38757071,38872029,39474960,39661305,39886394,40021465,40030031,40505279,40508577,40544831,41215991,41551144,41688359,41727671,42081119,42106624,42151852,42305392,42694156,42749474,42981431,43020479,43098551,43371551,43566311,43605239,43799759,44045114,44056875,44071751,44246605,44409330,44730671,44860492,45232991,45541439,45651309,45695471,45772439,45810911,45941932,46276225,46502039,46745037,46961351,46994000,47037791,47139962,47369952,47593566,47610071,47724311,47876519,48025758,48101356,48294431,48673511,48920104,48976199,49052769,49429271,49580039,49703162,49768319,49881191,50059345,50144279,50256911,50331959,50669279,51288505,51488834,51788999,52415209,52605551,52868250,53095926,53270759,53291196,53602391,54026077,54227039,54703151,54776279,54995471,55035117,55250831,55531470,55542191,55687679,56048162,56392800,56413199,56449391,56774759,57099479,57306362,57423551,57603311,57729064,57818759,58033919,58069751,58095304,58827592,59034191,59187057,59233568,59425439,59957399,60071214,60152320,60275711,60311354,60564705,60804791,61015919,61051079,61542479,61546206,61752599,62206871,62276639,62303162,62649105,62937839,63047714,63111359,63377241,63441900,63457799,63543362,63665279,64038434,64245601,64311592,64389191,64457951,64602352,64680652,64801271,64945197,65273594,65357217,65520194,65567905,65894519,66030599,66181041,66234479,66637764,66708057,66742919,66799756,66814665,66825712,67047119,67328812,67451711,67519031,67671360,67720799,67785277,67922279,67955831,68219949,68257439,68524991,68625191,68775729,69224879,69357791,69556919,69921239,70053479,70421954,70515311,70548239,70745639,70844231,70873384,71008391,71041199,71237879,71268976,71310974,71434271,71513350,71597711,71638394,71826191,72182784,72216959,72350541,72671399,72677646,72851234,72962711,73350119,73419592,73639919,73768511,74060474,74313599,74409551,74441519,74824511,74878870,74983751,75178926,75269879,75301631,75460271,76038621,76130280,76690799,76784951,76879031,77180110,77192111,77202697,77566751,77672749,77909159,78281591,78374519,78681486,78838079,78868919,78961391,79207631,79299839,79417612,79484039,79514711,79606679,79732557,79952584,80065439,80126471,80177598,80217959,81003074,81159119,81205632,81214225,81310199,81360105,81430919,81611759,81763624,81942551,82062599,82187834,82212479,82392071,82424354,82458385,82481759,82597041,82621869,83196671,83226359,83368994,83399569,83493191,83581991,83635449,84075962,84296392,84729839,84817631,84876119,85019464,85342871,85646565,85691591,85816020,85865519,85954874,86270231,86471999,86784112,87074951,87124514,87219532,87332279,87525529,87759719,88188061,88778231,88918871,89267185,89482989,89702759,89713192,89854644,89869919,89916962,89946657,90380354,91279151,91356336,91536314,91537088,91689671,91744271,91779430,91984077,92152751,92586479,92596264,92616132,92640551,92899756,93125759,93394199,93635111,93688559,93768671,94035191,94075465,94194719,94645151,94829951,94833441,94988039,95381999,95470156,95646897,95669759,95695871,95834824,95983372,96527231,96604751,96682199,96836110,97222319,97416669,97457070,97489274,97632126,97682471,97758911,97835279,98241359,98393111,98746079,98821511,98846639,98950062,99075362,99124161,99197591,99427144,99497159,99894791,...,427205664107721817761326658605499022928334564441422846498761135971716186275559102659531155924278111216719588594135036781913982963530133072676869269309007975009370807924958493543577934095730834451410082185696226610094193880890178044865060721111674217390698664072312707622327197204074803908328582207485778356014562957330413140992840966160874889288645336409616071813530733554559276090280974624842120073595145160086736474104389406008465744194654609773537242591189143119816635162254702150312842443094015043790361908054983979913817534391692512713679366331519866669223773941202304463215549496403699864674583689679092035987890659281938628422272345724663326301874082089523362158866882867534604419772345945074494188928821568435491180070331393621090913230051967712697573460766576127350851934326680623689350700770034353823395926173537431679400005715441059818680903740127867604946869944387606979119800437336947596526231971940510976948391689614015027935032840898558297704354658513810592256025439988289506028315338414588945148609755921026582478282502542095082809025755623437277459299959682114155365342972330789677814552865630497922642624731005938226638884972433156124422133062692847905671513435889750560019036241424577358344281698111616676512344982308170104668827990566788628179886553956785391676876321872217139915512215681902990368410257815791677899924540073928495890199740420160758691331705643246861143287728800121792445915388298988843802388161325123533617126768340608309858791855318337475128085699920536993893272370638858276847155270461649264302959827810015073105328412429526708742681693193553760413411474003912372601473404399084444104628278126745538194304794705293529981537149837158447855529253218640913328943326771327628072795011949038654865681237866894943465041883016816651278599189986554084181146284390401871400387361514633545457994042052004447145060622449015433913542186151597228580874271211254403406880933549010991777903259343293897807165565578793614788827814558607720302041991163580126660634888758592204218494891540184367403670889345887764180572732024185108899091965784601294607234825063851317372047667896227003480734843649484737084990133664593174222303529903340060254827421710124375632133906613839353771424992551295446115041572378455722532472381507469120357844979761954383354737877495844513007622303565668370443509477203114006929507366669185361461335414553065420295556372760614031351925878051500549954884459822962514936747539187629214251989673166126749248882108837728692715239717532749910200812748428158105241969197621554185640873971776482778040579326431308093572661451214963298722308512886631915706785542704995708348022679133621677687263402395850096820157125690877091448001029722056303959057742039175509472674179748240283138324557463368330204069606425650894089096023204492508424074973945026331887549683967262268647333895394848369515882358627334029989745997967302665589035275436171036113801016405216059297435934658899094333567467407839343945249555294032933831307883170244665094815064450663013529274053676120726045954029562177682837384741483297453614387268175885831565809068854697818558859521101674392496449059532323264806825274035883784830366161055855976938923596792824398112674204522524255432653942249525940696959910037202573230991079465811627456472363232093348626299984852216863466251590879612886130051032829607189077136398836306725831047008583589961382236980752767655994198081340284641208231491448216924484008731235053499359866409901388895565454735965975889127593916001756305877525091581318065129842985485615637541087809917397513782941749648227292539049242380614088009484112811934343221158770031788102915625397199751505139196663091995513003922792515749522427945382688261998925889753050091550687812022753600744664952012765271734276960316444801}
23521 134313968774540213688455673752017337315902342774887908657355988485777970262550: {822815,987378,1175450,1410540,1504576,1692648,1904229,2232215,2678658,2796143,3360071,3994490,4152243,4793388,4994211,5046695,5686274,6056034,6736751,7095351,8552908,9553511,9623930,10445943,10996643,11548716,12218440,12370271,12533043,12933623,13366371,13613411,13745745,13782711,14474152,14662128,15709490,15861171,15900143,16283421,16494894,16691043,17406578,18593471,18851388,19166003,19385025,19447730,20361539,20677360,22064151,22544099,22714490,23144378,23262030,23337276,24178413,24318028,24812832,24834434,24866540,24942243,25669343,25971695,27257388,27809751,27914436,28666898,28783825,29035443,29077871,29562911,29839848,29851491,31166034,31254851,31465874,31506671,31608419,31887831,32098943,33107043,33156383,33569829,33918771,34297058,34540590,34740040,35625815,35734259,35967698,36107171,36312695,36357251,36549122,36670490,36843296,37017218,37838476,38367831,39082545,39927218,40426415,41119750,41448708,41449439,41623751,41688048,42179282,42227783,42232730,42389751,42750978,42805091,42855299,43161695,43575234,43992471,44004588,44392611,45009530,45192243,45791843,45849791,45948191,46899054,47222258,47354051,47984151,48511698,48513212,49343700,50512931,50679276,50833391,51027779,51474143,51794034,51829372,51938930,52633280,52689815,52881740,52992671,53367695,54011436,54186938,54325911,54888431,55114743,55902711,56075615,56110802,56272643,56296371,56527058,56562434,57083043,57427415,58050743,58170419,58472498,58476818,58742500,59212440,59602274,59699471,59829591,60126695,60868412,61150130,61422791,61686119,62014211,62326716,62360354,63159936,63227778,63458088,63903671,64034344,64041234,64124211,64242143,65096018,65403692,66067671,66613995,67290738,68266691,68912898,69301583,69958511,70440194,70491000,70709943,70794568,71054928,71390349,71462402,71543171,72038637,72152034,72161330,72280883,72296783,72305651,72619130,73380156,73534490,73759343,73857218,74041960,74392031,74554743,75190400,75936098,76483391,77233251,77591954,77681591,78356531,78499043,78916076,79302375,79486403,79643889,79867271,79936794,80094952,80180882,80200919,80389490,80752940,80850815,81021731,81943298,82061608,83240378,83297205,83499695,83532140,83551991,83855471,84072243,84161015,84502988,84589200,84595619,84848231,85097378,85902311,85959543,86593596,86998751,87067679,87142956,88241388,88591730,88850352,88944076,89086220,89805362,90106821,90228480,90303074,90467031,90485018,90959932,91700972,91703171,91774490,92319309,92595191,92642543,92888114,93373619,93428291,93454743,93785471,94571571,95145071,95162850,95315043,96057651,96243712,96433139,96467388,96903528,97020978,97331843,97714151,97910391,98268191,98280291,98633123,99147578,99272015,99940730,99956646,...,569607552143629090348435544807332030571112752588563795331681514628954915034078803546041541232370814955626118125513382375885310618040177430235825692412010633345827743899944658058103912127641112601880109580928302146792258507853570726486747628148898956520931552096416943496436262938766405211104776276647704474686083943107217521323787954881166519051527115212821429084707644739412368120374632833122826764793526880115648632139185874677954325592872813031382990121585524159755513549672936200417123257458686725053815877406645306551756712522256683618239155108693155558965031921603072617620732661871599819566111586238789381317187545709251504563029794299551101735832109452697816211822510490046139226363127926765992251905095424580654906760441858161454550973402623616930097947688768169801135912435574164919134267693379138431194568231383242239200007620588079758241204986837156806595826592516809305493067249782596795368309295920681302597855586152020037246710454531411063605806211351747456341367253317719341371087117886118593531479674561368776637710003389460110412034340831249703279066612909485540487123963107719570419403820840663896856832974674584302185179963244208165896177416923797207562017914519667413358714988566103144459042264148822235349793309744226806225103987422384837573182071942380522235835095829622853220682954242537320491213677087722237199899386765237994520266320560214344921775607524329148191050305066829056594553851065318458403184215100164711489502357787477746478389140424449966837447599894049325191029827518477702462873693948865685737279770413353430807104549906035611656908924258071680551215298671883163468631205865445925472837704168994050925739726273724706642049533116211263807372337624854551105257769028436837430393349265384873154241650489193257953389177355755535038132253315405445574861712520535828533849815352844727277325389402672596193414163265353911884722914868796304774499028281672537875841244732014655703871012457725197076220754105058153051770419411476960402722654884773502214179851678122938957993188720245823204894519127850352240763642698913478532122621046135059476313100085135089829396890528302671307646458199312982779986844886124232296404706537786747006436562280165834176178542151785805028566656735060594820055429837940963376629842009958827143793306349272511139650503327792684010163071420891160591345969604152009239343155558913815281780552737420560394075163680818708469234504068667399939845946430616686582330052250172285669319564221502332331842811783638256953652956710333213601083664570877473655958930162072247521165295701977037387439101908410791430215268286617731629744683848842554275714056939994277797363572178162236916351203194466795760209500921169455264001372962741738612076989385567345963565572997653710851099409951157773605426141900867858785461364272656677898766631926701775850066245289683024863111860526464492687843144836445373319661330623070220785380367248228048151734688540288079063247912878532125778089956543785791926999407058710578441743844226992886793086752600884018039032071568160968061272039416236910449846321977729938152516357567847775421078758472930424745146028135565856661932079376431019742433698714511713107154881407807969251898129057099197483565606030032340576871922999367920929279880049603430974654772621082169941963150976124464835066646469622484621668787839483848173401377106142918769515198448408967774729344778119948509649307670356874658930775120379521610975321930955899312011641646737999146488546535185194087272981287967852170125221335675074503366788775090753506457313980820850054783746556530018377255666197636390052065656507485450679312150415912457628211693375717470554167196266335340185595550789327350671897056687666029903927176917682665234519670733455400917082697004800992886602683687028979035947088593068}
23522 134790555521000184385407618850638941584840718121253609551279407663044411163458: {305617,517198,1080862,1316504,1481067,1763175,1880720,2115810,2206462,2256864,2538972,2861998,3423262,3529021,3571544,4017987,4170718,4823902,4918621,5334097,5536324,5991735,6301021,6391184,6658948,6964558,7057438,7190082,7264417,7614382,8074712,8087377,8448718,8529411,8771197,9004222,9084051,9281758,9460468,10390462,10575022,10667278,10676317,10691135,11220478,11681038,12509038,12664883,12829362,13611022,13775521,13927924,14435895,14435998,14710702,15111121,15273050,15351118,15398288,16082062,16355902,16710724,16836637,17323074,17821828,17995918,18092690,18327660,18376948,18681277,19336657,19449358,19549504,19990237,19993342,20265118,20717758,21079582,21148228,21260398,21350782,21531502,21711228,21993192,22073278,22254724,22328221,22614478,22973521,22974958,23155102,23359837,23425198,23564235,24002257,24742341,25132462,25135184,25580782,25791457,25846700,26109867,26476222,27440221,27459358,27818977,28083982,28277082,28351438,29171595,29418868,29419822,30130798,30219598,30397535,30950077,31016040,31083175,31116368,31570897,32189917,32237884,32345998,32437021,32683837,33083776,33256324,33405742,33668221,33846622,34071735,34199038,34647997,34716567,34893045,34991038,35005914,36343184,36351517,36477042,36833998,37079668,37219248,37251651,37271758,37299810,37359262,37559677,37621678,38713924,38760637,39715822,39786464,39801988,39889918,39976942,40311121,40548577,40886082,41019982,41554712,41731537,41871654,42517108,42753262,42907297,43000347,43012702,43024477,43425050,43609297,43790158,44049022,44142724,44759772,44773537,45225028,45427198,45584221,45815197,45857038,46054120,46715518,46749051,46965757,47198811,47229838,47298095,47652637,48769342,49018621,50303662,50374237,50558878,51157108,51445587,51493438,51578302,51810885,52110060,52341358,52610557,52943521,53275837,53951547,54116782,54268897,54285502,54791278,54823683,55005735,55128142,55264944,55525827,55584064,55632958,56030051,56454817,56519668,56757714,57001304,57104977,57395278,57860221,58075357,58100312,58656628,58672784,58900222,59190148,59890827,60256324,60316798,60566302,60641515,60815662,61057021,61583521,61679625,61945247,62173062,62308798,62532072,62943997,63053422,63136078,63268923,63349095,63879262,63978868,64126467,64126702,64395517,64498657,64682264,64704721,64786715,65279518,65361742,65362851,65608318,65772622,65791600,65935057,66006882,66102175,67002862,67514295,67572368,67761121,67821022,67962577,68474398,68965537,69058712,69452542,70060477,70083083,70258621,70348581,70509598,70555297,70833387,71048317,71239822,71803907,72015248,72224221,72434548,72453982,72767547,72769818,72938638,73428125,73486324,73486417,74015550,74147758,74449057,74536948,75032158,75061828,75309277,75513742,76018914,76074862,76085515,76110724,76315102,76824157,77514142,77691051,77744058,77908395,78413521,78877021,78949920,79322610,79522897,79614877,79772788,80042930,80060062,81010558,81017154,81089662,81280407,81754615,82250977,82431982,83102288,83235037,83376718,83455342,84162238,84166203,84213248,84303704,84610784,84738721,84790587,84843651,85388312,85498948,85787617,85962862,86040958,86197102,86308177,86743102,87084157,87132622,87210478,87599518,87708747,87715227,87939517,88090228,88113750,88143502,88493210,88818660,88872097,89403411,89461342,89720984,90296221,90465982,90711121,91082878,91239551,91302618,91390942,91544878,91621822,91725195,91795067,91883864,92189857,92552450,92596477,93004078,93211283,93490074,93540531,93922702,93988000,94075582,94279924,94739904,94841667,95187132,95220142,95392417,95448622,95706337,95753038,96051516,96061851,96202712,96588862,96873277,97347022,97644027,97840208,97952398,98105538,98563127,98645095,98857597,98858542,99160078,99406324,99536638,99762382,99905917,...,854411328215443635522653317210998045856669128882845692997522271943432372551118205319062311848556222433439177188270073563827965927060266145353738538618015950018741615849916987087155868191461668902820164371392453220188387761780356089730121442223348434781397328144625415244654394408149607816657164414971556712029125914660826281985681932321749778577290672819232143627061467109118552180561949249684240147190290320173472948208778812016931488389309219547074485182378286239633270324509404300625684886188030087580723816109967959827635068783385025427358732663039733338447547882404608926431098992807399729349167379358184071975781318563877256844544691449326652603748164179046724317733765735069208839544691890148988377857643136870982360140662787242181826460103935425395146921533152254701703868653361247378701401540068707646791852347074863358800011430882119637361807480255735209893739888775213958239600874673895193052463943881021953896783379228030055870065681797116595408709317027621184512050879976579012056630676829177890297219511842053164956565005084190165618051511246874554918599919364228310730685944661579355629105731260995845285249462011876453277769944866312248844266125385695811343026871779501120038072482849154716688563396223233353024689964616340209337655981133577256359773107913570783353752643744434279831024431363805980736820515631583355799849080147856991780399480840321517382663411286493722286575457600243584891830776597977687604776322650247067234253536681216619717583710636674950256171399841073987786544741277716553694310540923298528605919655620030146210656824859053417485363386387107520826822948007824745202946808798168888209256556253491076388609589410587059963074299674316895711058506437281826657886653542655256145590023898077309731362475733789886930083766033633302557198379973108168362292568780803742800774723029267090915988084104008894290121244898030867827084372303194457161748542422508806813761867098021983555806518686587795614331131157587229577655629117215440604083982327160253321269777517184408436989783080368734807341778691775528361145464048370217798183931569202589214469650127702634744095335792454006961469687298969474169980267329186348444607059806680120509654843420248751264267813227678707542849985102590892230083144756911445064944763014938240715689959523908766709475754991689026015244607131336740887018954406228013859014733338370722922670829106130840591112745521228062703851756103001099909768919645925029873495078375258428503979346332253498497764217675457385430479435065499820401625496856316210483938395243108371281747943552965556081158652862616187145322902429926597444617025773263831413571085409991416696045358267243355374526804791700193640314251381754182896002059444112607918115484078351018945348359496480566276649114926736660408139212851301788178192046408985016848149947890052663775099367934524537294667790789696739031764717254668059979491995934605331178070550872342072227602032810432118594871869317798188667134934815678687890499110588065867662615766340489330189630128901326027058548107352241452091908059124355365674769482966594907228774536351771663131618137709395637117719042203348784992898119064646529613650548071767569660732322111711953877847193585648796225348409045048510865307884499051881393919820074405146461982158931623254912944726464186697252599969704433726932503181759225772260102065659214378154272797672613451662094017167179922764473961505535311988396162680569282416462982896433848968017462470106998719732819802777791130909471931951778255187832003512611755050183162636130259685970971231275082175619834795027565883499296454585078098484761228176018968225623868686442317540063576205831250794399503010278393326183991026007845585031499044855890765376523997851779506100183101375624045507201489329904025530543468553920632889602}
23523 135268822310945807700347738312261085049825945648566714604342148012331358632358: {775797,1151941,1621293,1645630,1974756,2350900,2821080,3009152,3125101,3173715,3309693,3385296,3808458,3970993,4292997,4464430,5134893,5357316,5592286,6256077,6720142,6920405,7065373,7235853,7988980,8304486,8323685,9586776,9988422,10093390,10446837,10586157,10785123,11290513,11372548,11421573,11825585,12112068,12673077,13473502,13506333,13676597,13825597,13922637,14190702,15585693,15862533,16000917,16830717,17105816,17409905,17521557,18743741,18763557,19107022,19244043,19247860,20416533,20888405,20891886,21653997,21993286,22066053,22121837,22277285,22909575,22971185,23026677,23097432,23517341,24063637,24123093,24436880,24533853,24740542,25066086,25867246,25984611,26435285,26732742,26993877,27139035,27226822,27491490,27565422,27818405,28581893,28948304,29084957,29174037,29324256,29990013,30397677,31076637,31418980,31619373,31722342,31800286,31890597,31958261,32026173,32297253,32308375,32498797,32566842,32989788,33109917,33382086,33921717,34462437,34732653,34813156,35137797,35429921,36360373,36773585,37186942,37698693,37702776,38332006,38371173,38770050,38895460,39714333,40297355,40723078,41189037,41354720,41570405,42125973,42231397,42415623,42527157,42562781,44128302,44129733,44308021,44414117,44703053,45088198,45196197,45329397,45428980,45942677,46288756,46349585,46524060,46674552,48356826,48392405,48518997,48636056,48997421,49625664,49668868,49733080,49752485,49876141,49884486,50108613,50769933,50837773,51298557,51338686,51943390,52486557,52508871,53146385,54355877,54426401,54514776,54715563,55178405,55250997,55619502,55828872,55907637,55949715,56038893,56432517,56531285,56596981,57333796,57567650,58070886,58155742,59125822,59163281,59573733,59664077,59679696,59702982,59834877,59965413,60305557,60426373,61329123,61529973,62332068,62509702,62807481,62931748,63013342,63216838,63775662,63946385,64129893,64197886,64519053,64935341,65137575,65685237,65778353,66073533,66214086,66259421,66312766,67139658,67837542,68140797,68594116,68622353,68785557,69081180,69480080,70073277,70410797,70649585,70844757,70984061,71251630,71468518,71935396,72214342,72625390,72714502,72901777,73098244,73154013,73320785,73340980,73686592,73765741,73987685,74034436,74714773,75320405,75455493,75676952,75838317,76735662,77240157,77367453,78165090,78505861,78512037,79370621,79626797,79854436,79973585,80398381,80852830,81175173,81428253,82186917,82239500,82692213,82897416,82898878,83247502,83376096,83449437,84177373,84358564,84455566,84465460,84779502,85136571,85452133,85481437,85501956,85610182,85710598,86092917,86323390,87150468,87984942,88009176,88050437,88350333,88785222,89622053,89833661,89926397,90019060,90384486,90475197,90543185,90849453,91223493,91583686,91699582,91857905,91896382,92603173,92797361,92818133,93171185,93259593,93381637,93463197,93798108,93827285,94388593,94444516,94580133,94704117,94708102,95138405,95818893,95968302,96012557,96190053,97023396,97026424,97919277,98042613,98412477,98658933,98687400,99010323,99715985,...,1281616992323165453283979975816497068785003693324268539496283407915148558826677307978593467772834333650158765782405110345741948890590399218030607807927023925028112423774875480630733802287192503354230246557088679830282581642670534134595182163335022652172095992216938122866981591612224411724985746622457335068043688871991239422978522898482624667865936009228848215440592200663677828270842923874526360220785435480260209422313168218025397232583963829320611727773567429359449905486764106450938527329282045131371085724164951939741452603175077538141038098994559600007671321823606913389646648489211099594023751069037276107963671977845815885266817037173989978905622246268570086476600648602603813259317037835223482566786464705306473540210994180863272739690155903138092720382299728382052555802980041871068052102310103061470187778520612295038200017146323179456042711220383602814840609833162820937359401312010842789578695915821532930845175068842045083805098522695674893113063975541431776768076319964868518084946015243766835445829267763079747434847507626285248427077266870311832377899879046342466096028916992369033443658596891493767927874193017814679916654917299468373266399188078543717014540307669251680057108724273732075032845094334850029537034946924510314006483971700365884539659661870356175030628965616651419746536647045708971105230773447375033699773620221785487670599221260482276073995116929740583429863186400365377337746164896966531407164483975370600851380305021824929576375565955012425384257099761610981679817111916574830541465811384947792908879483430045219315985237288580126228045079580661281240234422011737117804420213197253332313884834380236614582914384115880589944611449511475343566587759655922739986829980313982884218385035847115964597043713600684830395125649050449953835797569959662252543438853171205614201162084543900636373982126156013341435181867347046301740626558454791685742622813633763210220642800647032975333709778029881693421496696736380844366483443675823160906125973490740379981904666275776612655484674620553102211012668037663292541718196072555326697275897353803883821704475191553952116143003688681010442204530948454211254970400993779522666910589710020180764482265130373126896401719841518061314274977653886338345124717135367167597417144522407361073534939285863150064213632487533539022866910697005111330528431609342020788522100007556084384006243659196260886669118281842094055777634154501649864653379468887544810242617562887642755969019498380247746646326513186078145719152598249730602438245284474315725907592864662556922621915329448334121737979293924280717984353644889896166925538659895747120356628114987125044068037400865033061790207187550290460471377072631274344003089166168911877173226117526528418022539244720849414973672390104990612208819276952682267288069613477525272224921835078995662649051901786805942001686184545108547647075882002089969237993901907996767105826308513108341403049215648177892307803976697283000702402223518031835748665882098801493923649510733995284445193351989040587822161028362178137862088686533048512154224449892360843161804527657494697427206564093455676578563305023177489347178596969794420475822107651354491098483167567930816770790378473194338022613567572766297961826748577822090879730111607719692973238397434882369417089696280045878899954556650590398754772638838658390153098488821567231409196508920177493141025750769884146710942258302967982594244020853923624694474344650773452026193705160498079599229704166686696364207897927667382781748005268917632575274743954195389528956456846912623263429752192541348825248944681877617147727141842264028452338435803029663476310095364308746876191599254515417589989275986539011768377547248567283836148064785996777669259150274652063436068260802233994856038295815202830880949334403}
23524 135748775028128232666887093631595425657075372857611181143813726100329628453904: {611234,1034396,2161724,2468445,2505619,2633008,2938625,2962134,3526350,3761440,3900619,4231620,4412924,4456603,4513728,4595419,5077944,5288419,5426803,5712687,5723996,6696645,6846524,7058042,7143088,8035974,8341436,8388429,9647804,9837242,9986225,10080213,10224883,10632043,10668194,10767619,11072648,11579563,11983470,11984563,12456729,12602042,12782368,12927043,13317896,13464019,13929116,14114876,14133619,14215685,14380164,14528834,14801419,14934763,14967589,14982633,15140085,15228764,16149424,16174754,16897436,17058822,17542394,17586523,18008444,18113419,18168102,18563516,18770419,18920936,19948483,20079019,20210253,20600443,20780924,21150044,21286053,21334556,21352634,21382270,21510163,22157803,22440956,22803643,23362076,24059825,24474403,25018076,25329766,25658724,26387083,27147619,27222044,27551042,27855848,28409419,28660533,28871790,28871996,29421404,30222242,30288619,30546100,30702236,30796576,31337829,31656403,32027923,32164124,32711804,32769019,32892283,32989929,33261643,33421448,33673274,34646148,35342443,35643656,35991836,36185380,36655320,36753896,37110813,37362554,37522963,37599129,38673314,38800869,38844019,38898716,39099008,39273725,39322243,39560923,39980474,39986684,40099113,40530236,40631419,40840233,41223619,41237235,41341843,41348133,41435516,42159164,42296456,42520796,42556549,42701564,43063004,43106563,43422456,43516445,43986384,44146556,44509448,44656442,45228956,45781003,45947042,45949916,46310204,46719674,46850396,47046619,47128470,47583513,47700429,48004514,48619325,48758419,48850263,49438603,49484682,50073129,50264924,50270368,50341483,51015619,51127723,51161564,51582914,51693400,52219734,52952444,53354683,54786763,54880442,54918716,55637954,55780413,56167964,56554164,56702876,56786225,57182563,57498009,57614419,57860945,58155075,58343190,58796083,58837736,58839644,59116843,59756419,60261596,60439196,60795070,61084617,61900154,62032080,62086085,62166350,62232736,62288803,63019603,63141794,64379834,64470619,64475768,64691996,64874042,64882603,65367674,66167552,66192453,66217333,66512648,66811484,67127923,67336442,67532419,67632297,67693244,68143470,68398076,68538619,69295994,69433134,69438043,69786090,69982076,70011828,70529419,70628203,71667245,72535239,72686368,72703034,72880363,72954084,73667996,74159336,74328643,74438496,74503302,74543516,74599620,74718524,74826729,74903419,75119354,75243356,75950443,77008029,77270419,77427848,77521274,77915085,78664685,79431644,79500403,79572928,79603976,79779836,79953884,80143003,80622242,81097154,81772164,82039964,82366757,83109424,83429253,83463074,83743308,84893923,84898121,85034216,85506283,85506524,85742645,85814594,85941523,86000694,86025404,86048954,86351475,86850100,87106329,87218594,87233613,87580316,88098044,88285448,88688733,88768963,89190523,89519544,89547074,89554473,89777683,89919245,90450056,90701401,90854396,91168442,91372805,91630394,91676225,91682083,91714076,91764019,92108240,92543045,92660563,92903563,93431036,93498102,93708883,93764553,93931514,94397622,94459676,94520013,94596190,94665763,94825257,94903363,95305274,95663493,95769019,96237523,96296829,97012603,97538684,97627483,97780483,98037242,98843419,98918803,99321129,99469149,99818045,...,1708822656430887271045306634421996091713338257765691385995044543886864745102236410638124623697112444866878354376540147127655931854120532290707477077236031900037483231699833974174311736382923337805640328742784906440376775523560712179460242884446696869562794656289250830489308788816299215633314328829943113424058251829321652563971363864643499557154581345638464287254122934218237104361123898499368480294380580640346945896417557624033862976778618439094148970364756572479266540649018808601251369772376060175161447632219935919655270137566770050854717465326079466676895095764809217852862197985614799458698334758716368143951562637127754513689089382898653305207496328358093448635467531470138417679089383780297976755715286273741964720281325574484363652920207870850790293843066304509403407737306722494757402803080137415293583704694149726717600022861764239274723614960511470419787479777550427916479201749347790386104927887762043907793566758456060111740131363594233190817418634055242369024101759953158024113261353658355780594439023684106329913130010168380331236103022493749109837199838728456621461371889323158711258211462521991690570498924023752906555539889732624497688532250771391622686053743559002240076144965698309433377126792446466706049379929232680418675311962267154512719546215827141566707505287488868559662048862727611961473641031263166711599698160295713983560798961680643034765326822572987444573150915200487169783661553195955375209552645300494134468507073362433239435167421273349900512342799682147975573089482555433107388621081846597057211839311240060292421313649718106834970726772774215041653645896015649490405893617596337776418513112506982152777219178821174119926148599348633791422117012874563653315773307085310512291180047796154619462724951467579773860167532067266605114396759946216336724585137561607485601549446058534181831976168208017788580242489796061735654168744606388914323497084845017613627523734196043967111613037373175591228662262315174459155311258234430881208167964654320506642539555034368816873979566160737469614683557383551056722290928096740435596367863138405178428939300255405269488190671584908013922939374597938948339960534658372696889214119613360241019309686840497502528535626455357415085699970205181784460166289513822890129889526029876481431379919047817533418951509983378052030489214262673481774037908812456027718029466676741445845341658212261681182225491042456125407703512206002199819537839291850059746990156750516857007958692664506996995528435350914770860958870130999640803250993712632420967876790486216742563495887105931112162317305725232374290645804859853194889234051546527662827142170819982833392090716534486710749053609583400387280628502763508365792004118888225215836230968156702037890696718992961132553298229853473320816278425702603576356384092817970033696299895780105327550198735869049074589335581579393478063529434509336119958983991869210662356141101744684144455204065620864237189743738635596377334269869631357375780998221176131735325231532680978660379260257802652054117096214704482904183816118248710731349538965933189814457549072703543326263236275418791274235438084406697569985796238129293059227301096143535139321464644223423907755694387171297592450696818090097021730615768998103762787839640148810292923964317863246509825889452928373394505199939408867453865006363518451544520204131318428756308545595345226903324188034334359845528947923011070623976792325361138564832925965792867697936034924940213997439465639605555582261818943863903556510375664007025223510100366325272260519371941942462550164351239669590055131766998592909170156196969522456352037936451247737372884635080127152411662501588799006020556786652367982052015691170062998089711781530753047995703559012200366202751248091014402978659808051061086937107841265779204}
23525 136230419576769690792960377960720246724263026905694320247866196730078264180435: {916851,1292995,1551594,2303882,2702155,3242586,3291260,3949512,4393939,4443201,4701800,5289525,5516155,5642160,6018304,6250202,6347430,6619386,6770592,7154995,7616916,7941986,8558155,8585994,8928860,9688567,10269786,10426795,10586323,10587063,10714632,11184572,11653159,12053961,12059755,12512154,13440284,13840810,14130746,14471706,14755863,15656491,15977960,16002291,16163251,16555819,16608972,16647370,17280439,17411395,17643595,17975205,18903063,19035955,19173552,19976844,20186780,20893674,20948887,21121795,21172314,21392503,21570246,21793251,22510555,22581026,22745096,22843146,23200951,23204395,23651170,24224136,24262131,24314539,24373867,24985939,25171507,25346154,25588233,25976155,26284087,26313591,26437555,26668195,26947004,27012666,27252153,27353194,27651194,27845274,28051195,28381404,29202595,29243767,31171386,31188199,31272595,31725066,32001834,32028951,32073405,32159659,33661434,34027555,34162279,34211632,34373131,34819810,35043114,35569099,36089995,36776755,37009399,37487482,37527114,37994649,38182625,38214044,38262823,38377795,38488086,38495720,38945767,39598147,40205155,40337539,40833066,40889755,41326563,41776810,41783772,43307685,43307994,43358347,43986572,44132106,44243674,44554570,44989795,45231725,45333363,45819150,45942370,46053354,46194864,46456003,47034682,47570167,48127274,48246186,48623395,48873760,49067706,49481084,49510483,49983355,50132172,50509911,50662795,50915563,51483019,51734492,51759079,51794395,51969222,52489411,52698955,52870570,53150995,53376955,53465484,53648347,53828755,53987754,54278070,54295891,54431059,54453644,54982980,55130844,55183195,55220947,55432231,55636810,56043831,56416297,56536195,57132823,57163786,57437395,57887755,57896608,57906043,58009971,58169914,58198567,58348074,58562995,58648512,59957419,59970711,59980026,60795354,60829507,61516459,62153274,62831155,62837960,63238746,63444684,63600572,63781194,63916522,63951955,64052346,64326499,64594506,64616750,64889419,64997594,65133684,65821387,65979576,66123667,66190555,66219834,66764172,66984663,67136539,67265143,67749367,67843434,68648395,68920563,68924874,69465306,69626312,69653479,70079511,70209955,70275594,70416823,70512091,70692705,70859842,70878595,71777179,72006771,72720746,73547170,73549555,74054647,74227023,74373884,74404939,75326995,75397386,75405552,75548995,76664012,76695571,76742346,77052907,77249767,77374371,77540100,77790920,78068539,78329601,79143799,79335127,79377463,79428666,79881043,80594710,80864995,80887939,81446156,82320663,82378074,82709440,83140810,83456931,83511031,83514355,83566339,84251946,84462794,84616555,84831246,85054314,85125562,85497595,86068027,86880487,87477595,87497911,87514785,88256604,88259466,88428439,88616042,88828234,89406106,89524939,90176396,90392394,90530731,90625147,90658794,90857960,91192605,91885354,92084995,92496247,92577512,92699170,92850231,93048120,93179395,93249525,93349104,93398155,93801643,94054195,94152067,94541947,94712691,96569751,96713652,96784810,97037994,97085323,97272112,97311063,97450903,97994842,98051511,98909419,99197179,99251328,99289555,99337736,99466160,99504970,99724795,99752282,99768972,99942355,...,2563233984646330906567959951632994137570007386648537078992566815830297117653354615957186935545668667300317531564810220691483897781180798436061215615854047850056224847549750961261467604574385006708460493114177359660565163285341068269190364326670045304344191984433876245733963183224448823449971493244914670136087377743982478845957045796965249335731872018457696430881184401327355656541685847749052720441570870960520418844626336436050794465167927658641223455547134858718899810973528212901877054658564090262742171448329903879482905206350155076282076197989119200015342643647213826779293296978422199188047502138074552215927343955691631770533634074347979957811244492537140172953201297205207626518634075670446965133572929410612947080421988361726545479380311806276185440764599456764105111605960083742136104204620206122940375557041224590076400034292646358912085422440767205629681219666325641874718802624021685579157391831643065861690350137684090167610197045391349786226127951082863553536152639929737036169892030487533670891658535526159494869695015252570496854154533740623664755799758092684932192057833984738066887317193782987535855748386035629359833309834598936746532798376157087434029080615338503360114217448547464150065690188669700059074069893849020628012967943400731769079319323740712350061257931233302839493073294091417942210461546894750067399547240443570975341198442520964552147990233859481166859726372800730754675492329793933062814328967950741201702760610043649859152751131910024850768514199523221963359634223833149661082931622769895585817758966860090438631970474577160252456090159161322562480468844023474235608840426394506664627769668760473229165828768231761179889222899022950687133175519311845479973659960627965768436770071694231929194087427201369660790251298100899907671595139919324505086877706342411228402324169087801272747964252312026682870363734694092603481253116909583371485245627267526420441285601294065950667419556059763386842993393472761688732966887351646321812251946981480759963809332551553225310969349241106204422025336075326585083436392145110653394551794707607767643408950383107904232286007377362020884409061896908422509940801987559045333821179420040361528964530260746253792803439683036122628549955307772676690249434270734335194834289044814722147069878571726300128427264975067078045733821394010222661056863218684041577044200015112168768012487318392521773338236563684188111555268309003299729306758937775089620485235125775285511938038996760495493292653026372156291438305196499461204876490568948631451815185729325113845243830658896668243475958587848561435968707289779792333851077319791494240713256229974250088136074801730066123580414375100580920942754145262548688006178332337823754346452235053056836045078489441698829947344780209981224417638553905364534576139226955050544449843670157991325298103803573611884003372369090217095294151764004179938475987803815993534211652617026216682806098431296355784615607953394566001404804447036063671497331764197602987847299021467990568890386703978081175644322056724356275724177373066097024308448899784721686323609055314989394854413128186911353157126610046354978694357193939588840951644215302708982196966335135861633541580756946388676045227135145532595923653497155644181759460223215439385946476794869764738834179392560091757799909113301180797509545277677316780306196977643134462818393017840354986282051501539768293421884516605935965188488041707847249388948689301546904052387410320996159198459408333373392728415795855334765563496010537835265150549487908390779057912913693825246526859504385082697650497889363755234295454283684528056904676871606059326952620190728617493752383198509030835179978551973078023536755094497134567672296129571993555338518300549304126872136521604467989712076591630405661761898668806}
23526 136713761881634254409277348399473099611916049452602191388640131317899959727819: {399653,681413,1222468,1244069,1571753,1852313,2068792,2327391,2552453,2971673,3455823,3668933,4114075,4323448,4503269,4642073,4863879,4936890,5011238,5266016,5335013,5427269,5877250,5924268,5980133,7052700,7357253,7522880,7801238,7814693,8180069,8316953,8463240,8499353,8825848,8863769,8913206,9027456,9190838,9375303,9454853,9521145,9929079,10135193,10155888,10576838,10678169,10768553,10853606,11161075,11219993,11425374,11447992,11490473,11715653,11912979,12030569,12878991,12928169,13393290,13693048,13980715,14116084,14179433,14286176,15380069,15404679,16071948,16177253,16398233,16682872,16776858,16800355,16839593,16927769,17236133,17895593,18378053,18768231,18772073,18815813,19295608,19427333,19674484,19901959,19972450,19993769,20080793,20160426,20449766,20515433,20761215,21196119,21264086,21336388,21512069,21535238,21707559,22030373,22145296,22159769,23159126,23966940,23969126,24519269,24913458,24971055,25030853,25204084,25233475,25286213,25564736,25854086,26635792,26928038,27276569,27823973,27858232,28229752,28267238,28431370,28453913,28760328,28831013,29057668,29602838,29869526,29935178,29965266,30280170,30291353,30416069,30457528,31340511,31659269,31758471,31948313,32072069,32195753,32298848,32349508,32355369,32771993,32813093,33018473,33510569,33683755,33794872,33871539,34042373,34117644,34264719,34735769,35020613,35084788,35173046,35476755,36016888,36226838,36336204,36358169,36438953,37127032,37285253,37540838,37566569,37841872,38019231,38168069,38288153,38847593,38887493,39896966,40158038,40420506,40518999,40635173,40674713,41029791,41200886,41345669,41476791,41561848,41767911,42053573,42300088,42572106,42669112,42705268,42764540,42993413,43020326,43110569,43578473,43811993,44315606,44881912,45554213,45607286,45823769,46515113,46724152,46757079,46974569,47051033,47165669,47587599,47737769,47767555,48002751,48119650,48948806,49443269,49556393,49707113,49895333,50036152,50271173,50383769,50492151,50659532,51317448,51393893,51803753,51952553,52229715,52564671,52620569,52774166,53359769,54022313,54295238,54444088,54983215,55102084,55266713,55711696,55812773,56231223,56290671,56574233,56818838,57188069,57321066,57440153,57619973,57732129,57743580,57743992,58373033,58623269,58842808,59584793,60293273,60444484,60577238,60923023,60928169,61092200,61249599,61404472,61593152,61851355,61910633,62434373,62665215,62675658,63025769,63312806,63649433,63960293,64055846,64328248,64476953,64511333,64668115,64961991,65094569,65423608,65538038,65539013,65784566,65979858,66016133,66198159,66365511,66523286,66831855,66842896,66864233,67346548,67471769,68067055,68645669,68728725,68913555,69080031,69292296,69478169,70552023,70569413,70635269,70684886,70865513,71287312,71847833,71945669,71983672,72190911,72336293,72369279,72370760,72693353,72920069,73310640,73507792,73601559,73887269,74221626,74432153,74725108,75045926,75198258,76808453,76902569,76996613,77215769,77346628,77590553,77601738,77688038,77797432,77953833,78198016,78398633,78547450,78644486,78862373,78985733,79121846,79305855,79324313,79500715,79539269,79631273,79960948,79973368,80198226,80242793,80456069,80981631,81005323,81060472,81262838,81417105,81426053,81680466,81968069,82058153,82447238,82474470,82507493,82683686,82696266,82871032,83455215,83608169,84318328,84592912,84844313,84990533,85041592,85113098,85403128,85745679,85805669,85863653,86126008,86213126,86297513,86585753,86844912,86920519,87032890,87254871,87522111,87872933,87972768,88047223,88293112,88806569,88891013,88947269,89018896,89312884,89647769,89970039,90065669,90457912,91116293,91193031,91390853,91562006,91719269,91855769,91894084,91899832,92264069,92453993,92620408,92670569,92751653,92940569,92967355,93229911,93439348,93700792,93799193,93959273,94093238,94145669,94256940,94596713,94858119,95167026,95255813,95400858,95671791,95779493,95830015,95874783,96009028,96078519,96248069,96559013,96636569,96714053,96891759,96925125,97238650,97342531,97496391,97516838,97700526,97791269,97867673,97969433,98349893,98501573,98854373,98877206,98879513,98929769,98969364,99329751,...,3844850976969496359851939927449491206355011079972805618488850223745445676480031923935780403318503000950476297347215331037225846671771197654091823423781071775084337271324626441892201406861577510062690739671266039490847744928011602403785546490005067956516287976650814368600944774836673235174957239867372005204131066615973718268935568695447874003597808027686544646321776601991033484812528771623579080662356306440780628266939504654076191697751891487961835183320702288078349716460292319352815581987846135394113257172494855819224357809525232614423114296983678800023013965470820740168939945467633298782071253207111828323891015933537447655800451111521969936716866738805710259429801945807811439777951113505670447700359394115919420620632982542589818219070467709414278161146899185146157667408940125613204156306930309184410563335561836885114600051438969538368128133661150808444521829499488462812078203936032528368736087747464598792535525206526135251415295568087024679339191926624295330304228959894605554254838045731300506337487803289239242304542522878855745281231800610935497133699637139027398288086750977107100330975790674481303783622579053444039749964751898405119799197564235631151043620923007755040171326172821196225098535283004550088611104840773530942019451915101097653618978985611068525091886896849954259239609941137126913315692320342125101099320860665356463011797663781446828221985350789221750289589559201096132013238494690899594221493451926111802554140915065474788729126697865037276152771299284832945039451335749724491624397434154843378726638450290135657947955711865740378684135238741983843720703266035211353413260639591759996941654503140709843748743152347641769833834348534426030699763278967768219960489940941948652655155107541347893791131140802054491185376947151349861507392709878986757630316559513616842603486253631701909121946378468040024305545602041138905221879675364375057227868440901289630661928401941098926001129334089645080264490090209142533099450331027469482718377920472221139945713998827329837966454023861659306633038004112989877625154588217665980091827692061411651465113425574661856348429011066043031326613592845362633764911202981338568000731769130060542293446795391119380689205159524554183942824932961659015035374151406101502792251433567222083220604817857589450192640897462600617068600732091015333991585294828026062365566300022668253152018730977588782660007354845526282167332902463504949593960138406662634430727852688662928267907058495140743239938979539558234437157457794749191807314735853422947177722778593987670767865745988345002365213937881772842153953060934669688500776615979687241361069884344961375132204112202595099185370621562650871381414131217893823032009267498506735631519678352579585254067617734162548244921017170314971836626457830858046801864208840432575816674765505236986987947155705360417826005058553635325642941227646006269907713981705723990301317478925539325024209147646944533676923411930091849002107206670554095507245997646296404481770948532201985853335580055967121763466483085086534413586266059599145536462673349677082529485413582972484092281619692280367029735689915069532468041535790909383261427466322954063473295449502703792450312371135419583014067840702718298893885480245733466272639190334823159078919715192304647108251269088840137636699863669951771196264317916515975170459295466464701694227589526760532479423077252309652440132826774908903947782732062561770874083423033952320356078581115481494238797689112500060089092623693783002148345244015806752897725824231862586168586869370540737869790289256577624046475746834045632851443181425526792085357015307409088990428930286092926240628574797763546252769967827959617035305132641745701851508444194357990333007777450823956190308204782406701984568114887445608492642848003209}
23527 137198807888098837993375810341237641015367022423993372707927754702314938916716: {1528085,1810193,1833702,2585990,3103188,3783017,4607764,4910873,5192837,5404310,6485172,6582520,7405335,7516857,7722617,7899024,8787878,8815875,8886402,9403600,10016993,10579050,11032310,11102729,11284320,11701857,11981417,12036608,12500404,12511109,12694860,13238772,13369809,13541184,13786257,14309990,14597513,14764517,15233832,15865257,15883972,16280409,16736249,16883657,17116310,17138061,17171988,17645105,17857720,19377134,20089935,20422337,20539572,20853590,21172646,21174126,21429264,22369144,23306318,24107922,24119510,24375953,24593105,24701033,25024308,25165287,25282049,26650337,26670485,26880568,26907473,27175073,27681620,28261492,28943412,29511726,29528837,29570513,29958675,30240639,30674649,31312982,31467833,31505105,31514777,31896129,31955920,32004582,32302857,32326502,32486153,33111638,33217944,33294740,34560878,34738689,34822790,35287190,35950410,35953689,36322085,36366617,37012577,37304177,37335473,37370187,37806126,38071910,38347104,38781129,39271673,39340649,39953688,40373560,40392057,40436885,40883633,41787348,41897774,42243590,42344628,42400857,42647055,42785006,43140492,43586502,43781633,43855985,44404257,44804289,44902767,44947899,45021110,45162052,45420255,45490192,45526433,45686292,46401902,46408790,47302340,47638577,47671637,48448272,48459329,48524262,48629078,48747734,49971878,50343014,50525993,50692308,51149873,51176466,51487457,51952310,52568174,52627182,52759569,52875110,53336390,53381585,53399249,53455675,53728913,53894008,54025332,54340257,54504306,54706388,54902549,55225673,55302388,55690548,56102390,56287217,56311257,56762808,57137729,57245657,57348233,58405190,58487534,58512389,59845449,60237057,60630759,60834713,61717529,61801329,62342772,62376398,62545190,62985713,63249317,63324415,63450132,63858159,64003668,64057902,64146810,64319318,64530489,66473409,67011233,67322868,67464377,67520609,68055110,68072753,68324558,68410929,68423264,68746262,68877605,69639620,69976697,70086228,70360793,70927913,71138198,72179475,72179990,72512153,73423209,73553510,73778537,74018798,74411393,74727737,74974964,75054228,75360257,75555605,75989298,76365250,76428088,76525646,76755590,76976172,76991440,77256473,77891534,78376793,78861113,79150673,79161249,79196294,79495169,79887929,80221553,80410310,80412353,80675078,81042857,81442857,81666132,81779510,81988193,82653126,83553620,83567544,84183185,85228257,85981599,86075393,86615370,86615988,86716694,87253073,87963617,87973144,88264212,88487348,88938113,89109140,89532737,89979590,90463450,90666726,90865857,91638300,91884740,92003753,92106708,92389728,92666777,92912006,93397673,93406385,93809729,94013487,94069364,94404869,94955729,94969209,95140334,95333093,95594837,95631713,96083769,96107753,96254548,96492372,96683285,97246790,97747520,98135412,98293937,98307057,98676849,98962168,98969787,99020966,99230033,99784929,99951185,99966710,...,5126467969292661813135919903265988275140014773297074157985133631660594235306709231914373871091337334600635063129620441382967795562361596872122431231708095700112449695099501922522935209148770013416920986228354719321130326570682136538380728653340090608688383968867752491467926366448897646899942986489829340272174755487964957691914091593930498671463744036915392861762368802654711313083371695498105440883141741921040837689252672872101588930335855317282446911094269717437799621947056425803754109317128180525484342896659807758965810412700310152564152395978238400030685287294427653558586593956844398376095004276149104431854687911383263541067268148695959915622488985074280345906402594410415253037268151340893930267145858821225894160843976723453090958760623612552370881529198913528210223211920167484272208409240412245880751114082449180152800068585292717824170844881534411259362439332651283749437605248043371158314783663286131723380700275368180335220394090782699572452255902165727107072305279859474072339784060975067341783317071052318989739390030505140993708309067481247329511599516185369864384115667969476133774634387565975071711496772071258719666619669197873493065596752314174868058161230677006720228434897094928300131380377339400118148139787698041256025935886801463538158638647481424700122515862466605678986146588182835884420923093789500134799094480887141950682396885041929104295980467718962333719452745601461509350984659587866125628657935901482403405521220087299718305502263820049701537028399046443926719268447666299322165863245539791171635517933720180877263940949154320504912180318322645124960937688046948471217680852789013329255539337520946458331657536463522359778445798045901374266351038623690959947319921255931536873540143388463858388174854402739321580502596201799815343190279838649010173755412684822456804648338175602545495928504624053365740727469388185206962506233819166742970491254535052840882571202588131901334839112119526773685986786945523377465933774703292643624503893962961519927618665103106450621938698482212408844050672150653170166872784290221306789103589415215535286817900766215808464572014754724041768818123793816845019881603975118090667642358840080723057929060521492507585606879366072245257099910615545353380498868541468670389668578089629444294139757143452600256854529950134156091467642788020445322113726437368083154088400030224337536024974636785043546676473127368376223110536618006599458613517875550179240970470251550571023876077993520990986585306052744312582876610392998922409752981137897262903630371458650227690487661317793336486951917175697122871937414579559584667702154639582988481426512459948500176272149603460132247160828750201161841885508290525097376012356664675647508692904470106113672090156978883397659894689560419962448835277107810729069152278453910101088899687340315982650596207607147223768006744738180434190588303528008359876951975607631987068423305234052433365612196862592711569231215906789132002809608894072127342994663528395205975694598042935981137780773407956162351288644113448712551448354746132194048616897799569443372647218110629978789708826256373822706314253220092709957388714387879177681903288430605417964393932670271723267083161513892777352090454270291065191847306994311288363518920446430878771892953589739529477668358785120183515599818226602361595019090555354633560612393955286268925636786035680709972564103003079536586843769033211871930376976083415694498777897378603093808104774820641992318396918816666746785456831591710669531126992021075670530301098975816781558115825827387650493053719008770165395300995778727510468590908567369056113809353743212118653905240381457234987504766397018061670359957103946156047073510188994269135344592259143987110677036601098608253744273043208935979424153183260811323523797337612}
23528 137685563562224443298159810779277854003414230579980224097196530620999004235965: {446671,728407,799306,1362826,2272807,2444936,2488138,2750553,3143506,3669247,3704626,3878985,4137584,4654782,5104906,5759705,5943346,6440527,6911646,7337866,7678207,8106465,8228150,8646896,9006538,9183007,9284146,9727758,9873780,10022476,10532032,10543447,10670026,10854538,11220967,11491471,11754500,11848536,11960266,13181817,13329603,13913047,14105400,14714506,15045760,15602476,15625505,15629386,15868575,16360138,16548465,16633906,16926480,16998706,17105527,17651696,17727538,17826412,17897167,18054912,18381676,18423487,18750606,18817471,18909706,19042290,19472671,19573001,19854965,19858158,19864927,20270386,20311776,20517247,21153676,21356338,21464985,21537106,21707212,22322150,22439986,22463407,22850748,22895984,22980946,23431306,23520497,23825958,24061138,24393367,25674465,25757982,25856338,26786580,27386096,27573967,27826471,27961430,28232168,28358866,28572352,29065701,30585007,30760138,30809358,30958471,31280385,31758969,31761189,32143896,32354506,32796466,32816071,33365744,33553716,33600710,33677407,33679186,33855538,34412887,34472266,34602025,34959477,35326865,35791186,36161883,36179265,36240247,36482671,36756106,37536462,37544146,37631626,37931167,38591216,38651527,38854666,38891071,39130327,39348968,39803918,39944900,39987538,40161586,40320852,40441087,40678471,40899532,41030866,41522430,41618425,42096727,42392238,42528172,42672776,43024138,43036471,43070476,43270687,43415118,43621471,44060746,44267589,44290592,44319538,45597007,45712567,46318252,46969473,47157257,47894527,47933880,47938252,48006873,48464407,48489753,49038538,49598767,49667457,49826916,49942110,50061706,50163247,50408168,50466950,50501071,50572426,51129472,51708172,51841317,51957487,52234185,52930785,53271584,53856076,53925615,54553138,55647946,55709047,55716464,56452565,56459504,56534476,56579671,56709189,56862740,56907826,57107865,57520656,57662026,57984607,58115336,59127925,59205676,59590567,59739052,59870356,59930532,60122287,60560340,60582706,60832138,60915056,61916671,62440471,62681022,62846661,63318538,63365385,63516942,63690247,63896626,64144138,64177509,64391506,64517671,64597696,64699016,64710738,64723807,64826767,65379753,65543986,65626186,66036946,66056671,66874577,67021138,67367510,67531665,67589744,67743078,68084746,68235288,68382985,68529438,69127985,69385447,69471538,69602853,69613185,70041226,70081471,70169576,70346092,70378687,70953510,72033776,72343567,72453676,72672408,72716338,72786393,72877906,72943617,73121601,73508671,73798327,74254064,74471671,74570506,74957817,75081676,75133138,75514521,75683744,75712807,76038462,76336138,76576306,76764699,76847671,76976501,77035807,77695186,77774986,77928465,78437647,78530527,78852261,78901327,78940773,78993847,79312665,79639471,79793932,79823287,80004585,80316076,80841012,81037998,81270346,81349426,81464671,81756459,82059582,82096687,82401772,82635607,82691338,82953582,83123696,83535822,84107146,84153585,84600176,84765367,84853207,85144212,85338224,85410536,85529080,85901671,85986826,86040652,86221138,86335471,86591897,87049525,87156946,87607785,87623986,87731301,88631212,89763824,90535361,91108426,91214572,91647538,92463967,92788687,93030226,93448304,93514158,93564597,93675727,93718705,93817785,93949138,93996127,94102066,94331338,95175198,95293877,95475538,95535110,95659327,96005502,96086853,96220215,96239300,96478977,97213807,97897612,97980247,98284807,98886538,98890471,99112786,99414226,99790666,99864847,...,7689701953938992719703879854898982412710022159945611236977700447490891352960063847871560806637006001900952594694430662074451693343542395308183646847562143550168674542649252883784402813723155020125381479342532078981695489856023204807571092980010135913032575953301628737201889549673346470349914479734744010408262133231947436537871137390895748007195616055373089292643553203982066969625057543247158161324712612881561256533879009308152383395503782975923670366641404576156699432920584638705631163975692270788226514344989711638448715619050465228846228593967357600046027930941641480337879890935266597564142506414223656647782031867074895311600902223043939873433733477611420518859603891615622879555902227011340895400718788231838841241265965085179636438140935418828556322293798370292315334817880251226408312613860618368821126671123673770229200102877939076736256267322301616889043658998976925624156407872065056737472175494929197585071050413052270502830591136174049358678383853248590660608457919789211108509676091462601012674975606578478484609085045757711490562463601221870994267399274278054796576173501954214200661951581348962607567245158106888079499929503796810239598395128471262302087241846015510080342652345642392450197070566009100177222209681547061884038903830202195307237957971222137050183773793699908518479219882274253826631384640684250202198641721330712926023595327562893656443970701578443500579179118402192264026476989381799188442986903852223605108281830130949577458253395730074552305542598569665890078902671499448983248794868309686757453276900580271315895911423731480757368270477483967687441406532070422706826521279183519993883309006281419687497486304695283539667668697068852061399526557935536439920979881883897305310310215082695787582262281604108982370753894302699723014785419757973515260633119027233685206972507263403818243892756936080048611091204082277810443759350728750114455736881802579261323856803882197852002258668179290160528980180418285066198900662054938965436755840944442279891427997654659675932908047723318613266076008225979755250309176435331960183655384122823302930226851149323712696858022132086062653227185690725267529822405962677136001463538260121084586893590782238761378410319049108367885649865923318030070748302812203005584502867134444166441209635715178900385281794925201234137201464182030667983170589656052124731132600045336506304037461955177565320014709691052564334665804927009899187920276813325268861455705377325856535814116990281486479877959079116468874314915589498383614629471706845894355445557187975341535731491976690004730427875763545684307906121869339377001553231959374482722139768689922750264408224405190198370741243125301742762828262435787646064018534997013471263039356705159170508135235468325096489842034340629943673252915661716093603728417680865151633349531010473973975894311410720835652010117107270651285882455292012539815427963411447980602634957851078650048418295293889067353846823860183698004214413341108191014491995292592808963541897064403971706671160111934243526932966170173068827172532119198291072925346699354165058970827165944968184563239384560734059471379830139064936083071581818766522854932645908126946590899005407584900624742270839166028135681405436597787770960491466932545278380669646318157839430384609294216502538177680275273399727339903542392528635833031950340918590932929403388455179053521064958846154504619304880265653549817807895565464125123541748166846067904640712157162230962988477595378225000120178185247387566004296690488031613505795451648463725172337173738741081475739580578513155248092951493668091265702886362851053584170714030614818177980857860572185852481257149595527092505539935655919234070610265283491403703016888388715980666015554901647912380616409564813403969136229774891216985285696006418}
23529 138174034890827649116615804961821726858785069502008223180411756519641646542983: {1198959,2044239,2139319,3056170,3620386,3667404,3732207,4715259,5171980,5556939,5803759,6206376,6982173,7566034,7657359,8915019,9215528,9821746,10367469,10385674,10808620,11006799,12342225,12528095,12970344,13121407,13165040,13509807,13926219,14591637,14693125,14810670,15033714,15224891,15445234,15798048,16005039,16281807,16501519,17575756,17631750,17772804,17940399,18312107,18807200,19503095,20033986,21136559,21158100,22064620,22071759,22205458,22283015,22568640,22977095,23403714,23444079,23962834,24073216,24540207,24703147,24950859,25000808,25022218,25359179,25389720,25498059,26016287,26442095,26477544,26591307,26739618,27082368,27134015,27572514,27892751,28125909,28364559,28563435,28619980,29195026,29529034,29787237,30405579,30467664,31730514,31767944,31817579,32034507,32305659,32560818,33472498,33483225,33659979,33767314,34232620,34276122,34343976,34430347,34471419,35146959,35169931,35290210,35715440,35738937,36038039,36091707,37338679,38301791,38636973,38754268,38784507,39414407,40179870,40844674,41079144,41707180,41942145,42345292,42348252,42538299,42858528,44107147,44738288,44949479,45954491,46140207,46214037,46612636,47934599,48215844,48239020,48531759,48666187,48751906,49010027,49186210,49194699,49402066,49931125,50048616,50330574,50401065,50518779,50536607,50564098,50783307,50850919,51124415,51708399,52883767,53160215,53300674,53340970,53686779,53761136,53814946,53838095,54350146,55134159,55363240,56304693,56316219,56364719,56447439,56522984,56611639,57584939,57886824,57897815,58157627,58281999,59023452,59057674,59141026,59705877,59917350,59922815,59981307,60242379,60481278,61200491,61349298,61398379,61546299,61722811,62283645,62625964,62935666,63010210,63029554,63588357,63792258,63911840,64009164,64536207,64605714,64635215,64653004,64972306,65122677,66091119,66223276,66435888,66479307,66589480,67320095,67526407,68166887,68535671,68639999,69121756,69477378,69645580,70574380,70668095,71002319,71078425,71900820,71907378,72644170,72733234,73224959,73557807,73635719,74007095,74025154,74608354,74670946,74673815,74734219,74740374,74837945,74913165,75092559,75612252,75700425,75723287,75858639,76143820,76694208,77562258,78543346,78681298,79907376,80044439,80747120,80784114,80873770,80901887,81767266,81829707,83471919,83574696,83795548,84487180,84689256,84801714,85294110,85361739,85382951,85570012,86280984,86493039,87173004,87563266,87711970,87932615,88138891,88654181,88778831,88808514,89608578,89645099,89805534,89895798,90042220,90324104,90567095,90840510,90874059,90980384,91052866,91248207,91279499,91372584,91454891,92011627,92208119,92627119,92803804,92817580,92842007,93852095,94021533,94413007,94604680,94977807,95275413,95277154,95343274,95844939,96037259,96216207,96428647,96587259,96896544,96918658,97048524,97066107,97258156,97495468,98018411,98315979,98439279,99055419,99742415,99943756,...,11534552930908489079555819782348473619065033239918416855466550671236337029440095771807341209955509002851428892041645993111677540015313592962275470271343215325253011813973879325676604220584732530188072219013798118472543234784034807211356639470015203869548863929952443105802834324510019705524871719602116015612393199847921154806806706086343622010793424083059633938965329805973100454437586314870737241987068919322341884800818513962228575093255674463885505549962106864235049149380876958058446745963538406182339771517484567457673073428575697843269342890951036400069041896412462220506819836402899896346213759621335484971673047800612342967401353334565909810150600216417130778289405837423434319333853340517011343101078182347758261861898947627769454657211403128242834483440697555438473002226820376839612468920790927553231690006685510655343800154316908615104384400983452425333565488498465388436234611808097585106208263242393796377606575619578405754245886704261074038017575779872885990912686879683816662764514137193901519012463409867717726913627568636567235843695401832806491401098911417082194864260252931321300992927372023443911350867737160332119249894255695215359397592692706893453130862769023265120513978518463588675295605849013650265833314522320592826058355745303292960856936956833205575275660690549862777718829823411380739947076961026375303297962581996069389035392991344340484665956052367665250868768677603288396039715484072698782664480355778335407662422745196424366187380093595111828458313897854498835118354007249173474873192302464530136179915350870406973843867135597221136052405716225951531162109798105634060239781918775279990824963509422129531246229457042925309501503045603278092099289836903304659881469822825845957965465322624043681373393422406163473556130841454049584522178129636960272890949678540850527810458760895105727365839135404120072916636806123416715665639026093125171683605322703868891985785205823296778003388002268935240793470270627427599298350993082408448155133761416663419837141996481989513899362071584977919899114012338969632875463764652997940275483076184234954395340276723985569045287033198129093979840778536087901294733608944015704002195307390181626880340386173358142067615478573662551828474798884977045106122454218304508376754300701666249661814453572768350577922692387801851205802196273046001974755884484078187096698900068004759456056192932766347980022064536578846501998707390514848781880415219987903292183558065988784803721175485422229719816938618674703311472373384247575421944207560268841533168335781963012303597237965035007095641813645318526461859182804009065502329847939061724083209653034884125396612336607785297556111864687952614144242393653681469096027802495520206894559035057738755762202853202487644734763051510944915509879373492574140405592626521297727450024296515710960963841467116081253478015175660905976928823682938018809723141945117171970903952436776617975072627442940833601030770235790275547006321620011662286521737992938889213445312845596605957560006740167901365290399449255259603240758798178797436609388020049031247588456240748917452276844859076841101089207069745208597404124607372728149784282398968862190419886348508111377350937113406258749042203522108154896681656440737200398817917571004469477236759145576913941324753807266520412910099591009855313588792953749547925511377886399394105082682768580281597438269231756928957320398480324726711843348196187685312622250269101856961068235743346444482716393067337500180267277871081349006445035732047420258693177472695587758505760608111622213609370867769732872139427240502136898554329544276580376256071045922227266971286790858278778721885724393290638758309903483878851105915397925237105554525332583073970999023332352471868570924614347220105953704344662336825477928544009627}
23530 138664227881552346517218125956528215183890661711145480596190707821173990735391: {893342,1456814,1598612,1665589,1946101,2646121,2725652,3065269,4040761,4457749,4545614,4584255,4596601,4889872,4976276,5428201,5430579,5501106,5566549,5843029,6287012,6464975,7338494,7409252,7757970,8063587,8275168,9309564,9955669,10209812,10227541,10363369,10770421,11312149,11349051,11519410,11582581,11717689,11886692,12795961,12881054,13064809,13467541,13510775,13601641,13823292,14675732,14732619,14938681,15071989,15356414,15471481,15578511,16212930,16401109,16456300,16930741,17293792,17327209,18013076,18366014,18381289,18568292,18644089,19037749,19455516,19747560,20044952,20084341,20605909,21064064,21086894,21340052,21709076,21875707,21969695,22216005,22441934,22550571,22938709,22982942,23167851,23509000,23582569,23697072,23839609,23920532,24609001,26012821,26363634,26394169,26447625,26521141,26659206,27281461,27580775,27796951,27826094,28039189,28210800,28542901,28919929,29429012,30050979,30091520,30421561,31204952,31251010,31258772,31274507,31737150,31788949,32036629,32720276,32901241,33024469,33096930,33267812,33308187,33852960,33997412,34130281,34211054,35105571,35108329,35303392,35455076,35473909,35652824,35774975,35794334,35838841,35944251,36109824,36445621,36763352,36846974,37292089,37501212,37533327,37634942,37819412,38084580,38945342,39146002,39709930,39716316,39729854,40048501,40109427,40540772,40623552,41034494,41353321,41358771,41707669,42307352,42531961,42712676,42790775,42929970,43074212,43414424,43586581,43792539,43820149,44286421,44293551,44644300,44879972,44926814,45215509,45562729,45701496,45791968,45961892,46024681,46862612,47040994,47059861,47174521,47595771,47651916,48122276,48442835,48786734,48841227,48999289,49457611,49565749,49791829,50208747,50355769,50650971,51142261,51348930,51414183,51478249,51515964,51712676,52133975,52931615,52935315,53480569,53573160,54252949,54582889,54772192,55021801,55147934,55459561,55652942,55922860,56464336,56717732,56982649,57144704,57631081,58131402,58265795,58706041,59880181,60269805,60298775,61170014,61267011,61520276,61618716,61916942,61992661,62560770,63142249,63517938,63522378,63661909,63972841,64287792,64709012,65107381,65592932,65632142,66731488,66742069,67107432,67201420,67249129,67354814,67358372,67552501,67711076,68559061,68659321,68825774,68944532,69204050,69558421,69918954,70649401,70653730,70748149,71043961,71437369,71582372,71633641,72025321,72323766,72358530,72480494,72965342,72999481,73127859,73512212,73779315,74103099,74447221,74639029,75021781,75072924,75088292,75263252,75308089,75495861,75498601,75846147,75862334,77182432,77294101,77303054,77709332,77782142,77949049,78260654,78282455,78697936,79033591,79248361,79607836,79889800,79951011,79975076,80011455,80076181,80259349,80323172,80533561,80641704,80722419,80816255,80882174,81352309,81356942,81525219,81623929,81799064,81804649,82061732,82255189,82779095,83044860,83236850,83418169,83773561,84039349,84193454,84304489,84784476,84920629,85008361,85056344,85345552,85533241,85881721,86048276,86072942,86140952,86402195,86541374,86830236,86834101,87056975,87242942,88121492,88217975,88373749,88535178,88581184,88586511,88639076,88711539,88966201,89722741,89876025,89890069,90140521,90721917,91194014,91425134,91793641,91875541,92023947,92636504,92771689,93819541,93938946,94314514,94403499,94515315,94544331,95171449,95179775,95688387,95736179,95789054,95867760,95876504,96013746,96113209,96269161,96347029,96580201,96779179,96908571,96928814,96979506,97458459,97659769,97736341,97889269,98077076,98422249,98800789,98951701,99197534,99334914,99653832,99884220,...,15379403907877985439407759709797964825420044319891222473955400894981782705920127695743121613274012003801905189388861324148903386687084790616367293695124287100337349085298505767568805627446310040250762958685064157963390979712046409615142185960020271826065151906603257474403779099346692940699828959469488020816524266463894873075742274781791496014391232110746178585287106407964133939250115086494316322649425225763122513067758018616304766791007565951847340733282809152313398865841169277411262327951384541576453028689979423276897431238100930457692457187934715200092055861883282960675759781870533195128285012828447313295564063734149790623201804446087879746867466955222841037719207783231245759111804454022681790801437576463677682482531930170359272876281870837657112644587596740584630669635760502452816625227721236737642253342247347540458400205755878153472512534644603233778087317997953851248312815744130113474944350989858395170142100826104541005661182272348098717356767706497181321216915839578422217019352182925202025349951213156956969218170091515422981124927202443741988534798548556109593152347003908428401323903162697925215134490316213776158999859007593620479196790256942524604174483692031020160685304691284784900394141132018200354444419363094123768077807660404390614475915942444274100367547587399817036958439764548507653262769281368500404397283442661425852047190655125787312887941403156887001158358236804384528052953978763598376885973807704447210216563660261899154916506791460149104611085197139331780157805342998897966497589736619373514906553801160542631791822847462961514736540954967935374882813064140845413653042558367039987766618012562839374994972609390567079335337394137704122799053115871072879841959763767794610620620430165391575164524563208217964741507788605399446029570839515947030521266238054467370413945014526807636487785513872160097222182408164555620887518701457500228911473763605158522647713607764395704004517336358580321057960360836570132397801324109877930873511681888884559782855995309319351865816095446637226532152016451959510500618352870663920367310768245646605860453702298647425393716044264172125306454371381450535059644811925354272002927076520242169173787181564477522756820638098216735771299731846636060141496605624406011169005734268888332882419271430357800770563589850402468274402928364061335966341179312104249462265200090673012608074923910355130640029419382105128669331609854019798375840553626650537722911410754651713071628233980562972959755918158232937748629831178996767229258943413691788710891114375950683071462983953380009460855751527091368615812243738678754003106463918748965444279537379845500528816448810380396741482486250603485525656524871575292128037069994026942526078713410318341016270470936650192979684068681259887346505831323432187207456835361730303266699062020947947951788622821441671304020234214541302571764910584025079630855926822895961205269915702157300096836590587778134707693647720367396008428826682216382028983990585185617927083794128807943413342320223868487053865932340346137654345064238396582145850693398708330117941654331889936369126478769121468118942759660278129872166143163637533045709865291816253893181798010815169801249484541678332056271362810873195575541920982933865090556761339292636315678860769218588433005076355360550546799454679807084785057271666063900681837181865858806776910358107042129917692309009238609760531307099635615791130928250247083496333692135809281424314324461925976955190756450000240356370494775132008593380976063227011590903296927450344674347477482162951479161157026310496185902987336182531405772725702107168341428061229636355961715721144371704962514299191054185011079871311838468141220530566982807406033776777431961332031109803295824761232819129626807938272459549782433970571392012836}
23531 139156148562941720387363141179888633907062532379738715426994205843050443485610: {23531,1340013,1998265,2185221,2397918,2844589,3407065,4088478,4278638,5944741,6112340,6220345,6790633,6818421,7240772,7334808,7464414,7858765,8251659,9261565,9430518,10343960,11007741,11113878,11607518,11636955,12135541,12412752,12762265,13964346,14858365,15132068,15314718,15740989,16360681,17279115,17539333,17830038,17993053,18344665,18431056,18827941,19321581,19643492,19740793,20570375,20734938,20771348,21617240,21641581,22013598,22516345,22938949,23034621,23210365,23623213,24319395,24684450,25056190,25940688,26242814,26330080,26531461,26675065,26706133,27019614,27136345,27304333,27549021,27852438,29183274,29253373,29386250,29621340,29816389,29900665,30067428,30449782,30746521,30890468,31196221,31596096,31630341,32010078,32167933,32563614,32896141,33003038,33061141,33662901,34474413,35151512,35263500,35545608,35880798,36624214,36786265,37018933,37614400,37987621,38305069,38523421,38614633,38815909,39006190,39073465,39545451,39988809,40067972,40774333,40900345,41337061,41584765,41739141,41879101,42273118,42316200,42496765,44129240,44143518,44318845,44410916,44566030,45137280,45265753,45954190,46467949,46807428,46876515,46888158,47274265,47605725,47925668,48146432,48244429,49080414,49406294,49523221,49645395,49901718,50001616,50044436,50237653,50675965,50718358,50779440,50996118,51049669,51316581,52032574,52884190,52955088,53182614,53390845,53479236,53691501,53842765,54164736,54268030,54309853,55145028,55270461,55785502,55805375,56099965,56251818,56452413,56679589,56729118,57126870,57147541,57239960,57452365,57920941,58162621,58366621,58390052,58418013,58578265,58661293,58670029,58719003,59058068,59564895,59574474,59594781,59725081,60152845,60251941,60811158,60935328,61551741,61712629,62339833,63461028,63535888,63635158,64069014,64245709,64394955,64611318,64640845,65121636,66944996,66966450,67319958,67390221,67534628,68465240,68552244,68687952,68731741,68799709,68860694,68942838,69892813,69903575,70087081,70293918,70339862,70561491,70580420,70897165,71430880,71477874,71492101,71574181,71795641,72076078,72183414,72327853,73180101,73262269,73642021,73740133,74424301,74677358,74710693,74860621,75373333,75707161,76516201,76603582,76715293,76900345,77023395,77273946,77508536,77569014,78828814,79355533,79397989,80359740,80886265,80908861,81056941,81118861,81689348,81991165,82158288,82721901,83414360,83479413,83884290,83891941,84001775,84197965,84431149,84631909,84638845,84690584,84696504,85076598,85717056,86180665,87197103,88214294,88296181,88451341,88786429,89476576,89477965,89547973,89898958,89957461,90489301,91755021,91890265,91908982,92280414,92428074,92875413,93225272,93841155,93860365,94079065,94248133,94901509,95276907,95283567,95611321,95869198,96431688,96478040,97063518,97110301,97136665,97332374,97503812,97971613,98020054,98372420,98389398,98448213,98804132,98935333,98977549,99509795,99862250,99968845,...,23069105861816978159111639564696947238130066479836833710933101342472674058880191543614682419911018005702857784083291986223355080030627185924550940542686430650506023627947758651353208441169465060376144438027596236945086469568069614422713278940030407739097727859904886211605668649020039411049743439204232031224786399695842309613613412172687244021586848166119267877930659611946200908875172629741474483974137838644683769601637027924457150186511348927771011099924213728470098298761753916116893491927076812364679543034969134915346146857151395686538685781902072800138083792824924441013639672805799792692427519242670969943346095601224685934802706669131819620301200432834261556578811674846868638667706681034022686202156364695516523723797895255538909314422806256485668966881395110876946004453640753679224937841581855106463380013371021310687600308633817230208768801966904850667130976996930776872469223616195170212416526484787592755213151239156811508491773408522148076035151559745771981825373759367633325529028274387803038024926819735435453827255137273134471687390803665612982802197822834164389728520505862642601985854744046887822701735474320664238499788511390430718795185385413786906261725538046530241027957036927177350591211698027300531666629044641185652116711490606585921713873913666411150551321381099725555437659646822761479894153922052750606595925163992138778070785982688680969331912104735330501737537355206576792079430968145397565328960711556670815324845490392848732374760187190223656916627795708997670236708014498346949746384604929060272359830701740813947687734271194442272104811432451903062324219596211268120479563837550559981649927018844259062492458914085850619003006091206556184198579673806609319762939645651691915930930645248087362746786844812326947112261682908099169044356259273920545781899357081701055620917521790211454731678270808240145833273612246833431331278052186250343367210645407737783971570411646593556006776004537870481586940541254855198596701986164816896310267522833326839674283992963979027798724143169955839798228024677939265750927529305995880550966152368469908790680553447971138090574066396258187959681557072175802589467217888031408004390614780363253760680772346716284135230957147325103656949597769954090212244908436609016753508601403332499323628907145536701155845384775603702411604392546092003949511768968156374193397800136009518912112385865532695960044129073157693003997414781029697563760830439975806584367116131977569607442350970844459439633877237349406622944746768495150843888415120537683066336671563926024607194475930070014191283627290637052923718365608018131004659695878123448166419306069768250793224673215570595112223729375905228288484787307362938192055604991040413789118070115477511524405706404975289469526103021889831019758746985148280811185253042595454900048593031421921927682934232162506956030351321811953857647365876037619446283890234343941807904873553235950145254885881667202061540471580551094012643240023324573043475985877778426890625691193211915120013480335802730580798898510519206481517596357594873218776040098062495176912481497834904553689718153682202178414139490417194808249214745456299568564797937724380839772697016222754701874226812517498084407044216309793363312881474400797635835142008938954473518291153827882649507614533040825820199182019710627177585907499095851022755772798788210165365537160563194876538463513857914640796960649453423686696392375370625244500538203713922136471486692888965432786134675000360534555742162698012890071464094840517386354945391175517011521216223244427218741735539465744278854481004273797108659088553160752512142091844454533942573581716557557443771448786581277516619806967757702211830795850474211109050665166147941998046664704943737141849228694440211907408689324673650955857088019254}
23532 139649802984510478125009055502727478812110009408896113097507997137390498869567: {540707,1384907,1712507,1786684,2366531,2913628,3197224,3331178,3596877,3809147,3892202,4504427,4643267,4920731,5292242,5451304,5567027,5613131,6119747,6130538,6132717,6417957,6533531,7640425,7679531,8081522,8319107,8638307,8915498,9002627,9050965,9091228,9168510,9193202,9275531,9779744,9952552,10001867,10635731,10856402,10861158,11002212,11042387,11133098,11196621,11313131,11583587,11686058,11988731,12574024,12929950,13065947,13110731,14145777,14450531,14676988,14818504,15117731,15384107,15515940,16127174,16550336,16670817,17411277,18426731,18619128,18689507,18915085,19345187,19563347,19911338,19955531,20419624,20455082,20607731,20726738,20781347,20946519,21540842,22165667,22338131,22624298,22698102,22972077,22983731,23038820,23165162,23198531,23435378,23584667,23627531,23773384,23884547,24483131,24554365,25165307,25591922,25760531,25762108,25964185,26015147,26129618,26745057,26935082,27021550,27203282,27410387,27646584,27831467,28041707,28964387,29351464,29465238,29877362,30143978,30174731,30424307,30712828,30757573,30942962,30964067,31102407,31157022,31171307,31461107,31791827,32080787,32204507,32425860,32657531,32802218,32904227,32912600,33020397,33861482,34500731,34587584,34654418,35517731,36026152,36489347,36732028,36762578,36960781,36973427,37026675,37136584,37288178,37584285,37777667,38075498,38298707,38613085,38911032,39364221,39495120,39734531,40089904,40168682,40527731,40529421,41211818,41711531,41750867,41778657,42128128,42173788,42535907,42680104,43122587,43278731,43418152,43629587,43751414,43774911,43824227,43939390,44079375,44432010,44883868,44987867,45101142,45258347,45605531,45674673,45798131,45877418,45965884,46028987,46335702,47018000,47165138,47178947,47394144,47679218,47841064,48015117,48845421,49041731,49218002,49504557,49570427,49608131,50084965,50398067,50510627,50585627,50922731,52025642,52078907,52727268,52788338,52895250,52968731,53042282,53153531,53318412,53485667,53522531,53821197,54294827,54562922,54936321,55027067,55161550,55501307,55513645,55593902,55652188,55937867,56078378,56421600,57085802,57839858,57852227,58067531,58509285,58858024,58961531,59907085,60101958,60183040,60522827,60843122,61051547,61578467,61788731,61998707,62409904,62452667,62502020,62517544,62549014,62555545,63148427,63409677,63474300,63577898,63702731,64073258,64427147,64908131,65216507,65440552,65802482,66048938,66193860,66215277,66273731,66535624,66616374,66748667,66782531,66849045,66985547,67289531,67705920,67761107,67819969,67962731,67994824,68260562,68264627,68422108,68931285,69465731,69598547,70211142,70216658,70293731,70332237,70606784,70755227,70788131,70910152,70947818,71083907,71280731,71305648,71477267,71549950,71588668,71677682,71888502,71967347,72219648,72455627,72891242,72909731,72987565,73233131,73526704,73620621,73684547,73693948,73822585,74006027,74104261,74109441,74486747,74584178,74646587,74852577,74870027,75002424,75066654,75269884,75347507,75506267,75638824,75791531,76077537,76169160,76494177,76926107,77020187,77890684,77957027,78048861,78143531,78292004,78886667,79326285,79419860,79432632,79459708,79533131,79655867,79773921,79839731,80097002,80114987,80218854,80480987,80572307,81081544,81247104,81402045,81572113,81662531,81843227,82068988,82083707,82293707,82443467,82706642,82717542,83415338,83426867,83678253,83681245,84048131,84377727,84418285,84614704,84929531,85063922,85093677,85104947,85367531,85425352,85581550,85690305,85859940,85919747,85977707,86148424,86828848,87173162,87387731,87585078,87640298,87986147,88128107,88225525,88572842,88587102,88919387,89288600,89340707,89361711,89676467,89759944,89760227,89853628,89927531,90094547,90344531,90431018,90759731,90897731,91125458,91216737,91402992,91583936,91923784,92049362,92565227,92781707,92808731,93186227,93347531,93725224,93749531,93989867,94081988,94119722,94256147,94349042,94706987,95050187,95191542,95303832,95452737,95732531,96103521,96244552,96357587,96383531,96668387,96745907,96885670,96916977,97055267,97286531,97573468,97682454,97900067,97998578,98078147,98458427,98811731,98915222,98962667,99131498,99413747,99583658,...,34603658792725467238667459347045420857195099719755250566399652013709011088320287315422023629866527008554286676124937979335032620045940778886826410814029645975759035441921637977029812661754197590564216657041394355417629704352104421634069918410045611608646591789857329317408502973530059116574615158806348046837179599543763464420420118259030866032380272249178901816895989417919301363312758944612211725961206757967025654402455541886685725279767023391656516649886320592705147448142630874175340237890615218547019314552453702373019220285727093529808028672853109200207125689237386661520459509208699689038641278864006454915019143401837028902204060003697729430451800649251392334868217512270302958001560021551034029303234547043274785585696842883308363971634209384728503450322092666315419006680461130518837406762372782659695070020056531966031400462950725845313153202950357276000696465495396165308703835424292755318624789727181389132819726858735217262737660112783222114052727339618657972738060639051449988293542411581704557037390229603153180740882705909701707531086205498419474203296734251246584592780758793963902978782116070331734052603211480996357749682767085646078192778078120680359392588307069795361541935555390766025886817547040950797499943566961778478175067235909878882570810870499616725826982071649588333156489470234142219841230883079125909893887745988208167106178974033021453997868157102995752606306032809865188119146452218096347993441067335006222987268235589273098562140280785335485374941693563496505355062021747520424619576907393590408539746052611220921531601406791663408157217148677854593486329394316902180719345756325839972474890528266388593738688371128775928504509136809834276297869510709913979644409468477537873896395967872131044120180267218490420668392524362148753566534388910880818672849035622551583431376282685317182097517406212360218749910418370250146996917078279375515050815968111606675957355617469890334010164006806805722380410811882282797895052979247225344465401284249990259511425989445968541698086214754933759697342037016908898626391293958993820826449228552704863186020830171956707135861099594387281939522335608263703884200826832047112006585922170544880641021158520074426202846435720987655485424396654931135318367362654913525130262902104998748985443360718305051733768077163405553617406588819138005924267653452234561290096700204014278368168578798299043940066193609736539505996122171544546345641245659963709876550674197966354411163526456266689159450815856024109934417120152742726265832622680806524599505007345889036910791713895105021286925440935955579385577548412027196506989543817185172249628959104652376189837009823355892668335594063857842432727180961044407288083407486560620683677105173216267286608559607462934204289154532834746529638120477722421216777879563893182350072889547132882891524401348243760434045526982717930786471048814056429169425835351515912711857310329853925217882328822500803092310707370826641018964860034986859565213978816667640335938536789817872680020220503704095871198347765778809722276394536392309828164060147093742765368722246752356830534577230523303267621209235625792212373822118184449352847196906586571259659045524334132052811340218776247126610566324464690044969322211601196453752713013408431710277436730741823974261421799561238730298773029565940766378861248643776534133659198182315248048305740844792314807695270786871961195440974180135530044588563055937866750807305570883204707230039333448149179202012500540801833613244047019335107196142260776079532418086763275517281824334866640828112603309198616418281721506410695662988632829741128768213137766681800913860372574836336165657173179871916274929710451636553317746193775711316663575997749221912997069997057415605712773843041660317861113033987010476433785632028881}
23533 140145197216817326321545449002944234166017651801569057847209430822221114590885: {47062,2233355,2680026,2797571,3361787,3642035,3996530,4370442,4769891,4795836,4996767,5689178,5838303,6814130,7025603,7589531,7938363,8176956,8557276,8708483,9195807,11002271,11364035,11889482,12122283,12224680,12440690,12966191,13373247,13581266,13636842,13752765,13789803,14342003,14481544,14669616,14928828,15717530,16284603,16291737,16503318,16699647,17158763,17529087,17867171,18285467,18346235,18523130,18602987,18861036,19394925,19975523,20687920,20801711,21102227,22015482,22227756,22251203,23215036,23273910,24190761,24271082,24825504,25524530,25682531,27109667,27928692,28798525,29716730,29848031,29867007,30264136,30629436,30682623,31090107,31270847,31355363,31481978,31522883,32115371,32202635,32311263,32494511,32721362,33936447,34047153,34558230,34747743,35078666,35153067,35660076,35986106,36689330,36862112,36950687,37345091,37655882,37990883,38387883,38391035,38643162,38819231,39194427,39286984,39481586,40402623,40532325,40804923,41140750,41469876,41542696,41860931,42574127,43157531,43234480,43283162,43353503,44027196,44197857,44816043,45032690,45215967,45269627,45873347,45877898,45915035,46069242,46414443,46420730,46735533,47246426,48638790,49203327,49368900,49493483,49603427,50112380,50792223,51500771,51571631,51881376,51981627,52485628,52660160,52717235,53062922,53350130,53412266,54039228,54104831,54272690,54608666,54702851,54916667,55098042,55143867,55704876,55932267,56104835,57113247,57260483,57457355,58218671,58366548,58506746,58527443,58600931,58675067,58772500,59242680,59444447,59495471,59632778,59801330,60134856,60253023,60331427,60899564,61493042,61780936,61817727,62046383,62392442,63192192,63260682,64020156,64335866,65127228,65627121,65792282,65909085,66006076,66122282,66183971,66648015,67325802,67538003,67651713,68447891,68737643,68816127,68948826,69311231,69337307,69503553,69565235,69673931,70303024,70527000,70747707,70946351,71091216,71518827,71761596,72933107,73248428,73505963,73572530,73827003,74037866,74713007,74717087,74747183,75228800,75379871,75926747,75975242,76610138,77046842,77229266,77631818,78012380,78038463,78127525,78146930,78539951,79090902,79182507,79342875,79563423,79908587,79977618,80135944,80242187,80433311,81308747,81548666,81800690,81844383,82009571,82674122,82742325,83169530,83390853,83478282,83758202,83979011,84117567,84213983,84546236,84632400,84993530,85518107,85527635,85628703,86759787,88258480,88287036,88303763,88471643,88637690,88821832,88961147,89132060,89485835,90152937,90274560,90497183,90531506,91264683,91908380,92117435,92935898,93614856,93753030,93776316,93823521,93833987,94087355,94548530,94909631,95211450,95366847,95619563,95851336,96109887,96292864,96483167,96488858,97363355,97865005,98160828,98683967,98703723,98812588,99046442,99073407,99256031,99274825,99290790,99324635,99782267,99803436,99924561,...,46138211723633956318223279129393894476260132959673667421866202684945348117760383087229364839822036011405715568166583972446710160061254371849101881085372861301012047255895517302706416882338930120752288876055192473890172939136139228845426557880060815478195455719809772423211337298040078822099486878408464062449572799391684619227226824345374488043173696332238535755861319223892401817750345259482948967948275677289367539203274055848914300373022697855542022199848427456940196597523507832233786983854153624729359086069938269830692293714302791373077371563804145600276167585649848882027279345611599585384855038485341939886692191202449371869605413338263639240602400865668523113157623349693737277335413362068045372404312729391033047447595790511077818628845612512971337933762790221753892008907281507358449875683163710212926760026742042621375200617267634460417537603933809701334261953993861553744938447232390340424833052969575185510426302478313623016983546817044296152070303119491543963650747518735266651058056548775606076049853639470870907654510274546268943374781607331225965604395645668328779457041011725285203971709488093775645403470948641328476999577022780861437590370770827573812523451076093060482055914073854354701182423396054601063333258089282371304233422981213171843427747827332822301102642762199451110875319293645522959788307844105501213191850327984277556141571965377361938663824209470661003475074710413153584158861936290795130657921423113341630649690980785697464749520374380447313833255591417995340473416028996693899492769209858120544719661403481627895375468542388884544209622864903806124648439192422536240959127675101119963299854037688518124984917828171701238006012182413112368397159347613218639525879291303383831861861290496174725493573689624653894224523365816198338088712518547841091563798714163402111241835043580422909463356541616480291666547224493666862662556104372500686734421290815475567943140823293187112013552009075740963173881082509710397193403972329633792620535045666653679348567985927958055597448286339911679596456049355878531501855058611991761101932304736939817581361106895942276181148132792516375919363114144351605178934435776062816008781229560726507521361544693432568270461914294650207313899195539908180424489816873218033507017202806664998647257814291073402311690769551207404823208785092184007899023537936312748386795600272019037824224771731065391920088258146315386007994829562059395127521660879951613168734232263955139214884701941688918879267754474698813245889493536990301687776830241075366132673343127852049214388951860140028382567254581274105847436731216036262009319391756246896332838612139536501586449346431141190224447458751810456576969574614725876384111209982080827578236140230955023048811412809950578939052206043779662039517493970296561622370506085190909800097186062843843855365868464325013912060702643623907715294731752075238892567780468687883615809747106471900290509771763334404123080943161102188025286480046649146086951971755556853781251382386423830240026960671605461161597797021038412963035192715189746437552080196124990353824962995669809107379436307364404356828278980834389616498429490912599137129595875448761679545394032445509403748453625034996168814088432619586726625762948801595271670284017877908947036582307655765299015229066081651640398364039421254355171814998191702045511545597576420330731074321126389753076927027715829281593921298906847373392784750741250489001076407427844272942973385777930865572269350000721069111484325396025780142928189681034772709890782351034023042432446488854437483471078931488557708962008547594217318177106321505024284183688909067885147163433115114887542897573162555033239613935515404423661591700948422218101330332295883996093329409887474283698457388880423814817378649347301911714176038508}
23534 140642337351537696281773350750446455227019033932875717247472675022296956664930: {70593,869389,1081414,1431853,2413393,2769814,3425014,3573368,3809473,4020039,4733062,5198353,5613613,5827256,5994795,6394448,6555663,6580033,6662356,7130689,7193754,7618294,7680193,7784404,7817389,8502289,8533767,9008854,9286534,9841462,10221195,10584484,10681873,10696595,10902608,11134054,11226262,12034753,12239494,12261076,12265434,12439213,12671351,12835914,13067062,13111873,14050573,15280850,15359062,15385453,16163044,16580689,16638214,17110033,17242189,17276614,17830996,17834223,18005254,18101930,18182456,18337020,18386404,18551062,18661035,19559488,19905104,20000833,20003734,20371899,20455263,21271462,21712804,21722316,21822289,22004424,22084774,22266196,22340113,22393242,22626262,23167174,23243533,23372116,23576295,23629633,23977462,24399889,24528013,24754977,25148048,25805293,25859900,26131894,26221462,26481119,27454993,27784695,28291554,28901062,29018795,29353976,29637008,30235462,30593293,30768214,31031880,31463953,32254348,32454673,32701633,33023223,33100672,33341634,33686593,33932113,34376111,34822554,34910865,35033389,36349859,36371473,36406623,36853462,36976813,37238256,37379014,37830170,38061889,38286795,38662189,38690374,38782033,39126694,39822676,39911062,40333453,40571053,40839248,40910164,41215462,41453476,41562694,41754733,41893038,43081684,43282753,43399789,43680923,44100493,44331334,44575095,44676262,45248596,45396204,45725389,45840913,45944154,45967462,46077640,46330324,46397062,46870756,47169334,47222967,47255062,47336173,47546768,47769094,47908033,48591889,48966262,49082043,49108730,49612813,49725889,50177473,50290189,50330614,51183844,51521062,51524216,51837345,51928370,51972289,52030294,52083853,52259236,52617999,52640593,52973773,53490114,53527633,53870164,53979159,54043100,54058319,54406564,54820774,55033995,55287889,55293168,55662934,55834189,56083414,56483823,57893713,57928774,57964743,58108993,58702928,58930476,59222379,59754724,60287956,60349462,60848614,61092673,61425656,61515146,61619533,61711125,61885924,61928134,62204814,62314044,62342614,62640475,62922214,63583654,64161574,64409014,64742893,64845889,64851720,64924743,65315062,65604436,65607035,65808454,65825200,66040794,66789133,67549035,67722964,67801453,68003053,68304913,68816847,69001462,69006733,69103863,69175168,69308836,69505873,69631095,70118951,70300753,70795213,70869639,71035462,71287873,71876689,72052304,72462913,72949453,72958185,72978694,73240513,73464056,73465625,73525156,73917133,73921562,73946854,74053350,74273168,74576356,75168570,75555334,75735889,75830893,76124455,76150996,76597414,77059393,77226170,77719103,77822064,78182593,78554689,78728442,78925633,78990240,79018189,79469062,79572013,79594383,79847953,80025195,80118399,80179808,80337364,80489293,81055462,81058842,81217933,81409035,81912999,82122253,82423636,82507595,82647063,82661389,83108689,83423062,83501734,83557314,83869919,84256256,84347576,84879889,85071814,85360208,85405633,86245174,86535853,86557462,86836304,87259174,87396973,87502828,87549822,87577763,87648454,87760119,87878780,88158750,88864020,89449167,89701995,89767736,89975734,90202284,90516694,91211062,91349346,91560535,91596262,91754836,91931768,92004433,92057974,92239563,92575213,92671404,92818753,93588663,93706189,94026733,94036000,94106689,94330276,94357894,94788288,94891023,94902289,95358436,95682128,95690689,95769133,96030234,96394093,96503799,96937153,97515475,97690842,98012689,98083462,98088973,98393389,98436004,98688423,99009114,99140854,99183423,99216262,99449773,99898189,99972673,...,69207317585450934477334918694090841714390199439510501132799304027418022176640574630844047259733054017108573352249875958670065240091881557773652821628059291951518070883843275954059625323508395181128433314082788710835259408704208843268139836820091223217293183579714658634817005947060118233149230317612696093674359199087526928840840236518061732064760544498357803633791978835838602726625517889224423451922413515934051308804911083773371450559534046783313033299772641185410294896285261748350680475781230437094038629104907404746038440571454187059616057345706218400414251378474773323040919018417399378077282557728012909830038286803674057804408120007395458860903601298502784669736435024540605916003120043102068058606469094086549571171393685766616727943268418769457006900644185332630838013360922261037674813524745565319390140040113063932062800925901451690626306405900714552001392930990792330617407670848585510637249579454362778265639453717470434525475320225566444228105454679237315945476121278102899976587084823163409114074780459206306361481765411819403415062172410996838948406593468502493169185561517587927805957564232140663468105206422961992715499365534171292156385556156241360718785176614139590723083871110781532051773635094081901594999887133923556956350134471819757765141621740999233451653964143299176666312978940468284439682461766158251819787775491976416334212357948066042907995736314205991505212612065619730376238292904436192695986882134670012445974536471178546197124280561570670970749883387126993010710124043495040849239153814787180817079492105222441843063202813583326816314434297355709186972658788633804361438691512651679944949781056532777187477376742257551857009018273619668552595739021419827959288818936955075747792791935744262088240360534436980841336785048724297507133068777821761637345698071245103166862752565370634364195034812424720437499820836740500293993834156558751030101631936223213351914711234939780668020328013613611444760821623764565595790105958494450688930802568499980519022851978891937083396172429509867519394684074033817797252782587917987641652898457105409726372041660343913414271722199188774563879044671216527407768401653664094224013171844341089761282042317040148852405692871441975310970848793309862270636734725309827050260525804209997497970886721436610103467536154326811107234813177638276011848535306904469122580193400408028556736337157596598087880132387219473079011992244343089092691282491319927419753101348395932708822327052912533378318901631712048219868834240305485452531665245361613049199010014691778073821583427790210042573850881871911158771155096824054393013979087634370344499257918209304752379674019646711785336671188127715684865454361922088814576166814973121241367354210346432534573217119214925868408578309065669493059276240955444842433555759127786364700145779094265765783048802696487520868091053965435861572942097628112858338851670703031825423714620659707850435764657645001606184621414741653282037929720069973719130427957633335280671877073579635745360040441007408191742396695531557619444552789072784619656328120294187485530737444493504713661069154461046606535242418471251584424747644236368898705694393813173142519318091048668264105622680437552494253221132648929380089938644423202392907505426026816863420554873461483647948522843599122477460597546059131881532757722497287553068267318396364630496096611481689584629615390541573743922390881948360271060089177126111875733501614611141766409414460078666896298358404025001081603667226488094038670214392284521552159064836173526551034563648669733281656225206618397232836563443012821391325977265659482257536426275533363601827720745149672672331314346359743832549859420903273106635492387551422633327151995498443825994139994114831211425547686083320635722226067974020952867571264057762}
23535 141141229501536719229742980232487322785164417791671078516613074887457956876794: {94124,1622121,3126697,3973021,4154721,4466710,5098849,5137521,5360052,5595142,6723574,7099593,7284070,7993060,8327945,8482417,8740884,9539782,9591672,9730505,9993534,10790631,11378356,11427441,11676606,13230605,13513281,13628260,13929801,14051206,14762193,15179062,15326345,15876726,15909649,16353912,16701081,16839393,17114552,17416966,18359241,18391614,18398151,19177441,19253871,19600593,20203805,22004542,22288745,22557553,22728070,22921275,22983005,23038593,23529377,23778964,24244566,24449360,24881380,24957321,25684729,25914921,25932382,26746494,27007881,27141005,27152895,27162532,27273684,27505530,27561809,27579606,27826593,27832745,28300529,28596521,28684006,28963088,29215145,29339232,29857656,30005601,31435060,31907193,31974617,32324875,32569206,32583474,33006636,33127161,33399294,33589863,33939393,34317526,34750761,35058174,35734342,35966193,36570934,36692470,37046260,37205974,37722072,38789850,39197841,39332193,39951046,40117817,40206989,40317935,41375840,41603422,42204454,42437331,42906809,43351593,44030964,44455512,44502406,45083689,45182369,45353193,45877273,46152321,46430072,46547820,48381522,48542164,49022633,49651008,49778345,50012451,50549609,51049060,51137705,51365062,51816845,52233831,53024353,53747449,53852105,54219334,55280193,55857384,56068521,56560745,56745255,57597050,57912905,58035561,58085449,58172609,58588445,58690041,59193677,59433460,59694833,59696062,59734014,59866593,60439277,60528272,60814001,61258872,61365246,61459513,61823193,62180214,62344041,62541694,62710726,62839557,62963956,63045766,63942073,63979805,64230742,64281049,64405270,64622526,64989022,65324045,65442724,66497001,67014393,67337705,67553875,67872894,68008205,68094306,68916231,68951193,69116460,69343261,69495486,69595593,70157332,70306134,70754001,70882593,71020577,71320152,71653641,71972212,72607097,73378660,73449393,73663095,73724224,73804129,73901374,74690182,74693405,75311764,75359945,75495921,75742769,75981766,76775766,76782070,77281593,77286324,77357405,77638462,77892555,78045441,78102029,78142529,78388854,78546769,78573968,78963172,80235171,80440297,80805246,81064650,81514577,81609846,81913273,82005545,82231161,82281500,82939752,83085392,83494401,83721862,84125121,84653705,85148254,86315062,86468960,86566324,86636045,86707006,86893161,88054392,88395714,89632086,89879969,90065380,90431934,90524193,90539254,91272921,91746694,91755796,91830070,91906445,92138484,92272719,92828886,92841460,92845037,92865881,92892201,93220445,93307221,93471066,93513921,94383321,94437421,94492852,94582577,95188745,95375481,96061961,96242361,96613521,97277580,97391329,97878017,97972593,98406654,98692441,98712681,98737800,98986966,99061191,99206854,...,103810976378176401716002378041136262571585299159265751699198956041127033264960861946266070889599581025662860028374813938005097860137822336660479232442088937927277106325764913931089437985262592771692649971124183066252889113056313264902209755230136834825939775369571987952225508920590177349723845476419044140511538798631290393261260354777092598097140816747536705450687968253757904089938276833836635177883620273901076963207366625660057175839301070174969549949658961778115442344427892622526020713671845655641057943657361107119057660857181280589424086018559327600621377067712159984561378527626099067115923836592019364745057430205511086706612180011093188291355401947754177004604652536810908874004680064653102087909703641129824356757090528649925091914902628154185510350966277998946257020041383391556512220287118347979085210060169595898094201388852177535939459608851071828002089396486188495926111506272878265955874369181544167398459180576205651788212980338349666342158182018855973918214181917154349964880627234745113671112170688809459542222648117729105122593258616495258422609890202753739753778342276381891708936346348210995202157809634442989073249048301256938234578334234362041078177764921209386084625806666172298077660452641122852392499830700885335434525201707729636647712432611498850177480946214948764999469468410702426659523692649237377729681663237964624501318536922099064361993604471308987257818918098429595564357439356654289043980323202005018668961804706767819295686420842356006456124825080690489516065186065242561273858730722180771225619238157833662764594804220374990224471651446033563780458988182950706542158037268977519917424671584799165781216065113386327785513527410429502828893608532129741938933228405432613621689187903616393132360540801655471262005177573086446260699603166732642456018547106867654750294128848055951546292552218637080656249731255110750440990751234838126545152447904334820027872066852409671002030492020420417167141232435646848393685158937741676033396203852749970778534277968337905625094258644264801279092026111050726695879173881876981462479347685658114589558062490515870121407583298783161845818567006824791111652602480496141336019757766511634641923063475560223278608539307162962966456273189964793405955102087964740575390788706314996246956330082154915155201304231490216660852219766457414017772802960356703683870290100612042835104505736394897131820198580829209618517988366514633639036923736979891129629652022593899063233490579368800067478352447568072329803251360458228178797497868042419573798515022037667110732375141685315063860776322807866738156732645236081589520968631451555516748886877313957128569511029470067678005006782191573527298181542883133221864250222459681862051031315519648801859825678822388802612867463598504239588914361433167263650333638691679547050218668641398648674573204044731281302136580948153792359413146442169287508277506054547738135571930989561775653646986467502409276932122112479923056894580104960578695641936450002921007815610369453618040060661511112287613595043297336429166829183609176929484492180441281228296106166740257070491603731691569909802863627706877376637121466354553348058541590719759713778977136573002396158434020656328741379831698973394070134907966634803589361258139040225295130832310192225471922784265398683716190896319088697822299136583745931329602400977594546945744144917222534376944423085812360615883586322922540406590133765689167813600252421916712649614121690118000344447537606037501622405500839732141058005321588426782328238597254260289826551845473004599922484337809927595849254845164519232086988965898489223386304639413300045402741581117724509008496971519539615748824789131354909659953238581327133949990727993247665738991209991172246817138321529124980953583339101961031429301356896086643}
23536 141641879800942452052072267322462857560505563285067477751723441175676259111486: {117655,141186,1738778,2086783,2162828,2863706,3205663,3902623,4180903,4597783,4826786,5539628,5567983,5982703,6700065,6850028,7146736,7618946,8040078,8046583,8392713,9466124,9686023,9991325,10085361,10366063,10396706,10926105,11044303,11227226,11654512,11720743,11989590,12788896,12933799,13111326,13160066,13324712,13605199,13739263,14222945,14261378,14309673,14387508,14975233,14990301,15075943,15236588,15360386,15475543,15568808,15608599,15634778,16405423,17004578,17035325,17067534,17514909,18017708,18122983,18386143,18573068,18780343,19042783,19435903,19682924,20442390,21076809,21168968,21363746,21393190,21805216,22268108,22452524,22768593,23815089,24069506,24478988,24522152,24530868,24743599,24878426,25342702,25671828,26125449,26134124,26223746,26528263,26655199,27415303,27587421,28046743,28101146,28424743,28676383,29053303,29723705,30561700,30718124,30770906,31101725,31549543,32326088,33006813,33033463,33161378,33276428,33525799,33953165,34092105,34220066,34262143,34484378,34553228,35239903,35661992,35668446,36010508,36203860,36364912,36366849,36674040,36772808,37060783,37102124,37322070,37784599,38898573,39118976,39293825,39582799,39810208,40001666,40007468,40119741,40626313,40743798,40891183,40910526,41258295,41369409,42073063,42542924,42543799,42661303,43026009,43425608,43444632,43644578,44008848,44169548,44415223,44532392,44680226,44786484,45252524,45575503,46037599,46307825,46334348,46487066,46744232,47152590,47187799,47259266,47954924,48216823,48333329,48799778,48853809,48875211,49013143,49056026,49509954,49918903,50098941,50296096,50595199,51476289,51604783,51610586,51622909,51719800,52163143,52263788,52442924,52587261,52962238,53601513,54856401,54909986,55037599,55038705,55475503,55569390,55584799,55808961,56021263,56583108,56782303,57647743,57802124,57863383,58037590,58184775,58401223,58707952,58830199,59274016,59791183,59926569,60003943,60470924,60677705,61186586,61536428,62063760,62405133,62927906,63306681,63811325,63991663,64508623,64508696,64909346,65126599,65229343,65403266,66046446,66201344,66683268,66753609,67373186,67774543,67864226,68278183,68579503,68679799,68752222,69645108,69821730,70066778,70769383,71065303,72047023,72144799,72572283,72699718,72742946,72813246,73706924,73953626,74291825,74476512,74758028,74948983,75660340,76123778,76573590,77047593,77324378,77380748,77564066,78253388,78704945,79272799,79365103,79645352,79822124,80192599,80558503,80666906,81142106,81329001,81468223,81678496,81803405,81820328,82430924,82906952,83125388,83509466,83786076,83799799,84154183,85035103,85122799,85995799,86163368,86395575,86565506,86799578,87361846,87634663,87696665,88200986,88662668,88994599,89150190,89352524,89544093,89601021,89751463,89835199,89965265,90169423,90497192,90792408,91450778,91577023,91681826,91723325,91849849,91888308,91905199,91934924,92047869,92155280,92660648,92794124,93270321,93741512,93812541,94066089,94139705,94338668,94445934,94510124,94568649,94672346,95093536,95538188,95816066,96346113,96378703,96607905,96689599,96933789,97183778,97483533,97768663,97845199,97932524,98150623,98164086,98217460,98703965,98909143,99225626,99451778,...,138414635170901868954669837388181683428780398879021002265598608054836044353281149261688094519466108034217146704499751917340130480183763115547305643256118583903036141767686551908119250647016790362256866628165577421670518817408417686536279673640182446434586367159429317269634011894120236466298460635225392187348718398175053857681680473036123464129521088996715607267583957671677205453251035778448846903844827031868102617609822167546742901119068093566626066599545282370820589792570523496701360951562460874188077258209814809492076881142908374119232114691412436800828502756949546646081838036834798756154565115456025819660076573607348115608816240014790917721807202597005569339472870049081211832006240086204136117212938188173099142342787371533233455886536837538914013801288370665261676026721844522075349627049491130638780280080226127864125601851802903381252612811801429104002785861981584661234815341697171021274499158908725556531278907434940869050950640451132888456210909358474631890952242556205799953174169646326818228149560918412612722963530823638806830124344821993677896813186937004986338371123035175855611915128464281326936210412845923985430998731068342584312771112312482721437570353228279181446167742221563064103547270188163803189999774267847113912700268943639515530283243481998466903307928286598353332625957880936568879364923532316503639575550983952832668424715896132085815991472628411983010425224131239460752476585808872385391973764269340024891949072942357092394248561123141341941499766774253986021420248086990081698478307629574361634158984210444883686126405627166653632628868594711418373945317577267608722877383025303359889899562113065554374954753484515103714018036547239337105191478042839655918577637873910151495585583871488524176480721068873961682673570097448595014266137555643523274691396142490206333725505130741268728390069624849440874999641673481000587987668313117502060203263872446426703829422469879561336040656027227222889521643247529131191580211916988901377861605136999961038045703957783874166792344859019735038789368148067635594505565175835975283305796914210819452744083320687826828543444398377549127758089342433054815536803307328188448026343688682179522564084634080297704811385742883950621941697586619724541273469450619654100521051608419994995941773442873220206935072308653622214469626355276552023697070613808938245160386800816057113472674315193196175760264774438946158023984488686178185382564982639854839506202696791865417644654105825066756637803263424096439737668480610970905063330490723226098398020029383556147643166855580420085147701763743822317542310193648108786027958175268740688998515836418609504759348039293423570673342376255431369730908723844177629152333629946242482734708420692865069146434238429851736817156618131338986118552481910889684867111518255572729400291558188531531566097605392975041736182107930871723145884195256225716677703341406063650847429241319415700871529315290003212369242829483306564075859440139947438260855915266670561343754147159271490720080882014816383484793391063115238889105578145569239312656240588374971061474888987009427322138308922093213070484836942503168849495288472737797411388787626346285038636182097336528211245360875104988506442265297858760179877288846404785815010852053633726841109746922967295897045687198244954921195092118263763065515444994575106136534636792729260992193222963379169259230781083147487844781763896720542120178354252223751467003229222283532818828920157333792596716808050002163207334452976188077340428784569043104318129672347053102069127297339466563312450413236794465673126886025642782651954531318964515072852551066727203655441490299345344662628692719487665099718841806546213270984775102845266654303990996887651988279988229662422851095372166641271444452135948041905735142528115524}
23537 142144294405219354433254922330624391126939220350004223609760958500506141815038: {23537,188248,211779,2608167,2703535,3244242,4295559,4396183,6253394,6924535,7240179,7495543,7946042,8309442,8562535,8933420,9187327,10197698,10275042,10720104,11190284,11428419,11659123,11832655,12060117,13447148,13622707,13684759,14199186,14568140,15595059,15986120,16655890,16840839,16964834,17289283,17481768,17984385,18522847,18754927,19045735,19079564,19183344,19461010,19666989,19740099,19987068,20375443,21392067,21456883,21581262,22135039,22522135,22756712,22854882,23040579,23216335,23353212,23452167,24326983,24603655,25506867,25601301,26297539,26461210,27026562,27256520,27835135,27859602,28065655,28076983,28102412,28285327,29097727,29524386,30358124,30598735,30652690,30663585,31204243,31630003,31753452,31819298,32045619,32089785,32176207,32573047,32667655,32688403,32707824,33402162,33678786,34179763,34229104,34833932,35451103,35587303,36104259,36131827,36718482,36783228,36796302,37317639,37997407,38014053,38202125,38354882,38397655,38507742,38965843,39201186,39335619,40358263,40407610,40901203,41003167,41477743,41595535,42151719,42884563,43191535,44009084,44577490,44729779,44937223,45013135,45115106,45254825,45456140,45842550,45966010,45979567,46077186,46156359,46377655,47058754,47386387,47557928,48489132,48898720,49535959,49742067,49762760,49914642,50009335,50708047,51062803,51330099,51369458,51726567,51829842,51864764,52243327,53178655,53492988,53502669,54015762,54282010,54305790,54325064,54547368,55011060,55123618,55159212,55211935,55653186,55665490,55983105,56445109,56565655,56601058,57193042,57368012,57917935,57926176,57935839,58430290,58678464,58685143,59198743,59699959,59715312,59740447,59943655,59988223,60002499,60011202,61115697,61365789,62870120,63814386,63949234,64607503,64649750,64722247,64974163,65138412,65166948,65329735,65466867,65553655,65781463,65817679,66013272,66157639,66254322,66798588,67020339,67179726,67878786,68635052,68749447,69501522,69689683,69730599,70116348,70548439,70728885,70888899,71468684,71592787,71814103,71913607,71932386,72252655,72543583,73141868,73199667,73384940,73584039,73964239,74092520,74264931,74411948,75392947,75444144,75588655,75847663,76535887,76920535,77415879,77579700,77614483,78395682,78664386,78894943,79185043,79375939,79443357,79902092,80235634,80343727,80413978,80635870,80929783,81078067,82023823,82364979,82751680,83153767,83206844,83354085,84277783,84342127,84408908,84653683,84874662,85813618,85961623,86703186,87056385,87290503,87442063,88061928,88318927,88911024,89004812,89571727,89887687,89980759,90167378,90364738,90671863,90706386,91453663,91486483,91754546,91779879,92133655,92304642,92852983,92860144,93057823,93095640,93447535,93492883,94200439,94272787,94391859,94575425,95211487,95374063,96725935,96763044,97084328,97135279,97364019,97501459,97816735,98045266,98104899,99069669,99248143,99288823,99302016,99556690,99777655,...,207621952756352803432004756082272525143170598318531503398397912082254066529921723892532141779199162051325720056749627876010195720275644673320958464884177875854554212651529827862178875970525185543385299942248366132505778226112626529804419510460273669651879550739143975904451017841180354699447690952838088281023077597262580786522520709554185196194281633495073410901375936507515808179876553667673270355767240547802153926414733251320114351678602140349939099899317923556230884688855785245052041427343691311282115887314722214238115321714362561178848172037118655201242754135424319969122757055252198134231847673184038729490114860411022173413224360022186376582710803895508354009209305073621817748009360129306204175819407282259648713514181057299850183829805256308371020701932555997892514040082766783113024440574236695958170420120339191796188402777704355071878919217702143656004178792972376991852223012545756531911748738363088334796918361152411303576425960676699332684316364037711947836428363834308699929761254469490227342224341377618919084445296235458210245186517232990516845219780405507479507556684552763783417872692696421990404315619268885978146498096602513876469156668468724082156355529842418772169251613332344596155320905282245704784999661401770670869050403415459273295424865222997700354961892429897529998938936821404853319047385298474755459363326475929249002637073844198128723987208942617974515637836196859191128714878713308578087960646404010037337923609413535638591372841684712012912249650161380979032130372130485122547717461444361542451238476315667325529189608440749980448943302892067127560917976365901413084316074537955039834849343169598331562432130226772655571027054820859005657787217064259483877866456810865227243378375807232786264721081603310942524010355146172892521399206333465284912037094213735309500588257696111903092585104437274161312499462510221500881981502469676253090304895808669640055744133704819342004060984040840834334282464871293696787370317875483352066792407705499941557068555936675811250188517288529602558184052222101453391758347763753962924958695371316229179116124981031740242815166597566323691637134013649582223305204960992282672039515533023269283846126951120446557217078614325925932912546379929586811910204175929481150781577412629992493912660164309830310402608462980433321704439532914828035545605920713407367740580201224085670209011472789794263640397161658419237035976733029267278073847473959782259259304045187798126466981158737600134956704895136144659606502720916456357594995736084839147597030044075334221464750283370630127721552645615733476313465290472163179041937262903111033497773754627914257139022058940135356010013564383147054596363085766266443728500444919363724102062631039297603719651357644777605225734927197008479177828722866334527300667277383359094100437337282797297349146408089462562604273161896307584718826292884338575016555012109095476271143861979123551307293972935004818553864244224959846113789160209921157391283872900005842015631220738907236080121323022224575227190086594672858333658367218353858968984360882562456592212333480514140983207463383139819605727255413754753274242932709106696117083181439519427557954273146004792316868041312657482759663397946788140269815933269607178722516278080450590261664620384450943845568530797367432381792638177395644598273167491862659204801955189093891488289834445068753888846171624721231767172645845080813180267531378335627200504843833425299228243380236000688895075212075003244811001679464282116010643176853564656477194508520579653103690946009199844968675619855191698509690329038464173977931796978446772609278826600090805483162235449018016993943039079231497649578262709819319906477162654267899981455986495331477982419982344493634276643058249961907166678203922062858602713792173286}
23538 142648479491242018240362202027307159745138043543491062385944049240628671779934: {164717,235310,282372,681761,963377,1853261,2507117,3252461,3477556,3902957,4173566,4227617,4325656,4644461,4866363,4921997,5291597,5614577,5727412,6259361,6411326,7223597,7805246,7818737,8092961,8361806,8777261,9195566,9380091,9653572,9732257,10140461,10548017,10774157,11045261,11079256,11135966,11166775,11496461,11721761,11919063,11965406,11991857,12464163,13248497,13400130,13700056,13785137,13987855,14142257,14293472,14454317,15121697,15237892,15296547,15412563,15476897,16080156,16093166,16583597,16785426,16808935,17113037,17333297,17509361,17905037,18124577,18210175,18431597,18650657,18825761,18932248,19044461,19372046,19481261,19912123,19982650,20091437,20170722,20732126,20786861,20793412,21298779,21826157,21852210,21912557,22088606,22454452,22473377,23309024,23441486,23849455,23979180,24019361,24489677,24617777,24983835,25299761,25447251,25577792,25867598,26191757,26222652,26320132,26649424,27210398,27459917,27478526,28049261,28445890,28469261,28522756,28619346,28720877,28775016,29191515,29950466,29980602,30151886,30307757,30473176,30598817,30720772,30951086,31137616,31179761,31217198,31269556,31552397,31593761,31965677,32213261,32371893,32460557,32789837,32810846,33036461,33282797,34009156,34070650,34135068,34282323,35029818,35121137,35128015,35283761,35649197,36035416,36245966,36256817,36458957,36772286,37064177,37104461,37146136,37547057,37560686,37947655,38085566,38869037,38871806,39148337,39347597,39365848,39691815,40539843,40657697,40884780,40894961,41613187,41789403,42076961,42116237,42153618,42337936,42665261,42727492,42786380,43407857,43542415,43610432,43836461,44286579,44536216,44905048,45537186,45618317,45733937,45810977,45979035,46195697,47345057,47534431,47630178,47728947,48139012,48259361,48957976,49044304,49055597,49061736,49487198,49735277,49756852,49810637,50103243,50374817,50518179,50524961,50685404,50712461,51049457,51343656,51423137,52168097,52250898,52268248,52447492,52983857,53056526,53310398,53648417,54019603,54053261,54273677,54603761,54750257,54830606,55011355,55077723,55174842,55194453,55517261,56062961,56093486,56202292,56787761,56820175,56823917,56849486,57121207,57148961,57352766,57473357,57532323,57761613,57868961,57904877,58106606,58406861,58801779,59085617,59447410,59796977,60328397,60540461,60611415,61123400,61436248,61541812,62203450,62680097,63099086,64549361,64652176,64755617,64830955,64927277,65953037,66013626,66066926,66322756,66552856,66866235,66903917,67051598,67106861,67672659,67814897,67906330,68184210,68284961,68318477,68440132,68524286,68763825,68949015,68968756,69106456,69115779,69286961,69586157,69984077,70413857,70479806,70578797,70588131,70809377,70908077,71105261,71323984,71336892,71710015,72021016,72407720,72729824,72733698,72931757,73028897,73348080,73352177,73545616,73706861,74121566,74204248,74381297,74644140,74669261,74871963,75338657,75569198,75814637,76225697,77043761,77054187,77638157,77744763,77797146,78237952,78260717,78587650,78910961,79165598,79557677,79620416,79864397,80003332,80014936,80239482,80566817,80597261,81023643,81252626,81423015,81458685,81487596,81506861,81657761,81782366,81821052,82289357,82516590,82558961,82685427,82738818,83125997,83479779,83498235,83571617,84146126,84162977,84901587,84948787,84956237,85044017,85085848,85087598,85322606,85772717,85789563,85793815,86052018,86851216,86889264,86985677,87289156,87415457,87645435,87672461,88017696,88241261,88339096,88830446,89064784,89257037,89335855,89360452,89572968,89788961,90016803,90505048,91009697,91151006,91427335,91731175,92024237,92075198,92615650,92668696,92676461,92973857,92974132,93014935,93488464,93726497,93780017,93860237,94020461,94305180,94375598,94518532,94922957,94975757,95318177,95475761,95711597,95721579,95763917,95842337,95909848,95923851,96415217,96433646,96666658,96777761,96974625,97267277,97599556,97707618,97750422,98026286,98034317,98112052,98161457,98186861,98465777,98566961,98920097,98945261,99019908,99381483,99837806,99877615,99920417,...,311432929134529205148007134123408787714755897477797255097596868123381099794882585838798212668798743076988580085124441814015293580413467009981437697326266813781831318977294741793268313955787778315077949913372549198758667339168939794706629265690410504477819326108715963856676526761770532049171536429257132421534616395893871179783781064331277794291422450242610116352063904761273712269814830501509905533650860821703230889622099876980171527517903210524908649848976885334346327033283677867578062141015536966923173830972083321357172982571543841768272258055677982801864131203136479953684135582878297201347771509776058094235172290616533260119836540033279564874066205843262531013813957610432726622014040193959306263729110923389473070271271585949775275744707884462556531052898833996838771060124150174669536660861355043937255630180508787694282604166556532607818378826553215484006268189458565487778334518818634797867623107544632502195377541728616955364638941015048999026474546056567921754642545751463049894641881704235341013336512066428378626667944353187315367779775849485775267829670608261219261335026829145675126809039044632985606473428903328967219747144903770814703735002703086123234533294763628158253877419998516894232981357923368557177499492102656006303575605123188909943137297834496550532442838644846294998408405232107279978571077947712133189044989713893873503955610766297193085980813413926961773456754295288786693072318069962867131940969606015056006885414120303457887059262527068019368374475242071468548195558195727683821576192166542313676857714473500988293784412661124970673414954338100691341376964548852119626474111806932559752274014754397497343648195340158983356540582231288508486680825596389225816799685216297840865067563710849179397081622404966413786015532719259338782098809500197927368055641320602964250882386544167854638877656655911241968749193765332251322972253704514379635457343713004460083616200557229013006091476061261251501423697306940545181055476813225028100188611558249912335602833905013716875282775932794403837276078333152180087637521645630944387438043056974343768674187471547610364222749896349485537455701020474373334957807441488424008059273299534903925769190426680669835825617921488888899368819569894380217865306263894221726172366118944988740868990246464745465603912694470649982556659299372242053318408881070111051610870301836128505313517209184691395460595742487628855553965099543900917110771210939673388888956067781697189700471738106400202435057342704216989409754081374684536392493604127258721395545066113001332197125425055945191582328968423600214470197935708244768562905894354666550246660631941871385708533088410203034015020346574720581894544628649399665592750667379045586153093946558946405579477036467166407838602390795512718766743084299501790951000916075038641150656005924195946023719612134193843906409742844461377078239439326507862524832518163643214406715792968685326960940959402507227830796366337439769170683740314881736086925809350008763023446831108360854120181984533336862840785129892009287500487550827530788453476541323843684888318500220771211474811195074709729408590883120632129911364399063660044175624772159279141336931409719007188475302061968986224139495096920182210404723899904410768083774417120675885392496930576676415768352796196051148572688957266093466897409751237793988807202932783640837232434751667603130833269257437081847650758968767621219770401297067503440800757265750137948842365070354001033342612818112504867216502519196423174015964765280346984715791762780869479655536419013799767453013429782787547764535493557696260966897695467670158913918239900136208224743353173527025490914558618847246474367394064728979859715743981401849972183979742997216973629973516740451414964587374942860750017305883094287904070688259929}
23539 143154441257369150017447638081913401095432872132576296624732120936145299320927: {23539,47074,352965,376496,423558,3784949,4346945,4913381,5195489,5216334,5407070,6260349,6488484,7159265,8012477,8591118,8792366,8858369,9616989,9694349,10268189,11707869,11987549,12066965,12506788,12542709,13793349,13849070,14480358,14991086,15892084,16172897,16565717,16618884,16703949,17125070,17866840,17948109,18374654,19047365,20100195,20395396,20432789,20550084,20961389,21440208,22380568,22856838,23214797,23318246,23665310,24080069,24120234,24139749,25000877,25178139,25186529,25991765,26664029,26894296,27188981,27245414,27369518,28068065,28398372,29058069,29136280,29973975,30256083,31098189,31190118,31530989,31972240,32502869,32520989,32778315,32900165,33132909,33181889,33311780,33681678,33929668,34445117,34578566,34963536,35162229,35653445,35968770,37045694,37323269,37509854,38091470,38159128,38366688,38400965,38631749,38801397,38922020,38969189,39086945,39291917,39333978,39480198,39621821,39974136,40361717,40750886,40815597,41217789,42511445,42668835,42784134,42838229,42913766,42929019,43162524,44270078,44338277,44925699,44970903,45044270,45227829,45513424,45709764,45734717,45827069,46081158,46426629,46432670,46706424,46825797,46904334,47696129,48653966,49207310,49216269,51013734,51105975,51202602,52544727,52595078,52922420,53409365,53482975,53680421,53756717,54053124,54368949,54513040,55158429,55670270,55719204,56131310,56153966,56204824,56341029,56570654,57128349,58195454,58233749,58307709,58542497,59048772,59993357,60173765,60346949,60468149,60716248,61197470,61305380,61327170,61553237,62196065,62408486,63018389,63230427,63260006,63356755,63506904,63638596,64091238,64179570,64352414,64364957,64928717,65146094,65335310,65376806,65415648,65559365,66163301,66804324,67045661,67176677,67357572,68305779,68359526,68458208,69355169,69667864,70013069,70252865,70554497,70845797,70902206,71174606,71445267,72208518,72263654,72336629,73436964,73566456,73592604,74230797,74450117,74635278,75994814,76028106,76404250,76709764,76795310,76927265,77015484,77296709,77741729,77931686,78376347,78402372,78671238,79065221,79191917,79547549,79584789,79965597,80262821,80716526,80815220,81085109,81802406,82006334,82245909,82762263,82903445,82955486,83191070,83616557,83921117,84140229,84303438,84460277,85274229,85540109,85550165,85769126,86029149,86210945,86383070,87134657,87159909,88018168,88176701,89154980,89171115,89173589,89459558,89874446,90026270,90230212,90509650,90679649,90912280,91461629,91685100,91775117,91932020,91959134,92154372,92312718,92755310,93305175,94117508,94208501,94648629,94772774,95115856,95644289,96978264,97597229,97797440,98709389,99020439,99071918,99100389,99256637,99484134,99525520,99829284,...,415243905512705606864009512164545050286341196637063006796795824164508133059843447785064283558398324102651440113499255752020391440551289346641916929768355751709108425303059655724357751941050371086770599884496732265011556452225253059608839020920547339303759101478287951808902035682360709398895381905676176562046155194525161573045041419108370392388563266990146821802751873015031616359753107335346540711534481095604307852829466502640228703357204280699878199798635847112461769377711570490104082854687382622564231774629444428476230643428725122357696344074237310402485508270848639938245514110504396268463695346368077458980229720822044346826448720044372753165421607791016708018418610147243635496018720258612408351638814564519297427028362114599700367659610512616742041403865111995785028080165533566226048881148473391916340840240678383592376805555408710143757838435404287312008357585944753983704446025091513063823497476726176669593836722304822607152851921353398665368632728075423895672856727668617399859522508938980454684448682755237838168890592470916420490373034465981033690439560811014959015113369105527566835745385392843980808631238537771956292996193205027752938313336937448164312711059684837544338503226664689192310641810564491409569999322803541341738100806830918546590849730445995400709923784859795059997877873642809706638094770596949510918726652951858498005274147688396257447974417885235949031275672393718382257429757426617156175921292808020074675847218827071277182745683369424025824499300322761958064260744260970245095434922888723084902476952631334651058379216881499960897886605784134255121835952731802826168632149075910079669698686339196663124864260453545311142054109641718011315574434128518967755732913621730454486756751614465572529442163206621885048020710292345785042798412666930569824074188427470619001176515392223806185170208874548322624998925020443001763963004939352506180609791617339280111488267409638684008121968081681668668564929742587393574740635750966704133584815410999883114137111873351622500377034577059205116368104444202906783516695527507925849917390742632458358232249962063480485630333195132647383274268027299164446610409921984565344079031066046538567692253902240893114434157228651851865825092759859173623820408351858962301563154825259984987825320328619660620805216925960866643408879065829656071091211841426814735481160402448171340418022945579588527280794323316838474071953466058534556147694947919564518518608090375596252933962317475200269913409790272289319213005441832912715189991472169678295194060088150668442929500566741260255443105291231466952626930580944326358083874525806222066995547509255828514278044117880270712020027128766294109192726171532532887457000889838727448204125262078595207439302715289555210451469854394016958355657445732669054601334554766718188200874674565594594698292816178925125208546323792615169437652585768677150033110024218190952542287723958247102614587945870009637107728488449919692227578320419842314782567745800011684031262441477814472160242646044449150454380173189345716667316734436707717937968721765124913184424666961028281966414926766279639211454510827509506548485865418213392234166362879038855115908546292009584633736082625314965519326795893576280539631866539214357445032556160901180523329240768901887691137061594734864763585276354791289196546334983725318409603910378187782976579668890137507777692343249442463534345291690161626360535062756671254401009687666850598456486760472001377790150424150006489622003358928564232021286353707129312954389017041159306207381892018399689937351239710383397019380658076928347955863593956893545218557653200181610966324470898036033987886078158462995299156525419638639812954325308535799962911972990662955964839964688987268553286116499923814333356407844125717205427584346572}
23540 143662185923517807452878893705681408357081624658440521839876273691999426797025: {70611,329434,470620,564744,635337,728779,1010371,1363522,1572691,1926754,2553979,3706522,5014234,5338219,6305899,6504922,6955112,7270051,7682179,7805914,7819411,7824501,8110605,8347132,8455234,8504491,8641291,8651312,9187771,9288922,9460579,9732726,9843994,10583194,11226811,11229154,11454824,11497459,12037891,12518722,12577171,12822652,12886677,13188549,13249651,14188099,14447194,15610492,15633485,15637474,16185922,16717531,16723612,17246731,17554522,18391132,18696091,18760182,19307144,19464514,19582997,19865105,20280922,20773605,20788699,21096034,21548314,21720537,21828091,22090522,22158512,22271932,22333550,22346059,22475371,22486629,22733779,22992922,23378539,23443522,23532509,23838126,23930812,23983714,24406411,24534571,24928326,25494245,25687605,26194099,26496994,26800260,27400112,27561981,27570274,27588811,27841459,27975710,28284514,28586944,28908634,30243394,30475784,30593094,30601579,30825126,30953794,31596619,31968571,32160312,32186332,32833939,33167194,33389237,33570852,33617870,33941371,34064059,34226074,34285257,34666594,34676419,34977369,35018722,35042971,35497965,35810074,36180351,36249154,36420350,36502699,36863194,37107859,37301314,37590691,37651522,37864496,37952059,38088922,38192611,38744092,38792731,38912539,38962522,39151939,39824246,39965300,40182874,40341444,40463491,40701019,40868121,41054277,41464252,41573722,41586824,41639725,42120139,42412085,42597558,43294819,43411891,43652314,43704420,43825114,44112811,44177212,44908904,44946754,45853771,46200019,46618048,46785177,46882972,47349499,47698910,47958360,48038722,48652525,48719371,48979354,49179221,49235554,49739971,49967670,50191699,50304451,50417131,50522517,50599522,50894502,51155584,51735196,51867849,52098691,52383514,52445304,52640264,52988899,53126717,53298848,53321539,53653531,53953155,54315571,54420796,54919834,54957052,55568541,55959331,56098522,56264781,56829379,56891780,56938522,57045512,57137205,57238692,57441754,57478891,57550032,57910459,58018171,58383030,58662931,59000967,59220297,59900932,59961204,60303772,60615514,60946352,60959381,61126329,61197634,61441544,61902172,61952899,62275232,62359522,62434396,62539112,62686219,63104794,63187522,63519979,63841349,63931354,64176201,64370649,64426522,64743786,64761979,64865011,64921114,65379091,65579674,65621692,65993611,66072922,66153025,66299899,66405117,66565594,66910531,67506881,67566405,68018312,68141300,68270136,68325259,68564646,69027331,69121737,69626299,69649005,70059636,70242274,70256030,70321819,70356501,70420891,70567522,70618819,70915171,71298394,71996251,72070832,72491932,72513634,72917914,72971491,72980949,73359571,73544572,73810965,73843051,74035939,74128354,74208922,74292272,75094114,75121372,75378091,75854011,75895310,76171132,76520601,76631725,76803903,77015897,77082979,77270971,77738074,77743612,78296674,78695194,78731696,78892617,78949939,79042531,79383630,79548245,79596571,79688659,79872619,80514211,80605579,81079686,81315394,81696379,81769560,81789922,82327891,83134651,83226374,83505405,83578806,83580331,84153922,84196965,84230949,84232474,84307236,84675872,84855981,85330522,85454984,85572760,86563219,86649691,86815714,87084830,87220864,87293181,87424699,87672922,88573158,89072432,89714731,89810096,90763337,90798619,91074372,91236634,91377211,91467874,91621954,91796205,91958070,91990755,92115931,92391394,92523811,92686459,93010891,93495379,93612729,94057339,94137331,94217251,94690114,94890009,95068862,95260356,95457894,95722051,95800531,95887205,96136857,96269355,96278024,96518722,96528621,96969091,97719141,97915952,98002965,98045131,98065209,98088608,98111194,98121451,98123472,98197699,98501971,98956219,98974396,99470554,99513704,99557851,99621274,...,622865858269058410296014268246817575429511794955594510195193736246762199589765171677596425337597486153977160170248883628030587160826934019962875394652533627563662637954589483586536627911575556630155899826745098397517334678337879589413258531380821008955638652217431927713353053523541064098343072858514264843069232791787742359567562128662555588582844900485220232704127809522547424539629661003019811067301721643406461779244199753960343055035806421049817299697953770668692654066567355735156124282031073933846347661944166642714345965143087683536544516111355965603728262406272959907368271165756594402695543019552116188470344581233066520239673080066559129748132411686525062027627915220865453244028080387918612527458221846778946140542543171899550551489415768925113062105797667993677542120248300349339073321722710087874511260361017575388565208333113065215636757653106430968012536378917130975556669037637269595735246215089265004390755083457233910729277882030097998052949092113135843509285091502926099789283763408470682026673024132856757253335888706374630735559551698971550535659341216522438522670053658291350253618078089265971212946857806657934439494289807541629407470005406172246469066589527256316507754839997033788465962715846737114354998984205312012607151210246377819886274595668993101064885677289692589996816810464214559957142155895424266378089979427787747007911221532594386171961626827853923546913508590577573386144636139925734263881939212030112013770828240606915774118525054136038736748950484142937096391116391455367643152384333084627353715428947001976587568825322249941346829908676201382682753929097704239252948223613865119504548029508794994687296390680317966713081164462577016973361651192778451633599370432595681730135127421698358794163244809932827572031065438518677564197619000395854736111282641205928501764773088335709277755313311822483937498387530664502645944507409028759270914687426008920167232401114458026012182952122522503002847394613881090362110953626450056200377223116499824671205667810027433750565551865588807674552156666304360175275043291261888774876086113948687537348374943095220728445499792698971074911402040948746669915614882976848016118546599069807851538380853361339671651235842977777798737639139788760435730612527788443452344732237889977481737980492929490931207825388941299965113318598744484106636817762140222103221740603672257010627034418369382790921191484975257711107930199087801834221542421879346777777912135563394379400943476212800404870114685408433978819508162749369072784987208254517442791090132226002664394250850111890383164657936847200428940395871416489537125811788709333100493321263883742771417066176820406068030040693149441163789089257298799331185501334758091172306187893117892811158954072934332815677204781591025437533486168599003581902001832150077282301312011848391892047439224268387687812819485688922754156478878653015725049665036327286428813431585937370653921881918805014455661592732674879538341367480629763472173851618700017526046893662216721708240363969066673725681570259784018575000975101655061576906953082647687369776637000441542422949622390149419458817181766241264259822728798127320088351249544318558282673862819438014376950604123937972448278990193840364420809447799808821536167548834241351770784993861153352831536705592392102297145377914532186933794819502475587977614405865567281674464869503335206261666538514874163695301517937535242439540802594135006881601514531500275897684730140708002066685225636225009734433005038392846348031929530560693969431583525561738959311072838027599534906026859565575095529070987115392521933795390935340317827836479800272416449486706347054050981829117237694492948734788129457959719431487962803699944367959485994433947259947033480902829929174749885721500034611766188575808141376519858}
23541 144171719731237890685745625123156039813188399617811317041447476026298267432504: {47078,94148,494151,588275,705930,752992,847116,2045283,2890131,5559783,5806723,6085723,7521351,7569898,8693890,9469291,9757383,9826762,10022971,10390978,10432668,10433915,10814140,11708871,12520698,12682851,12976968,13933383,14318530,14599089,14765991,15874791,16024954,16028315,16843731,16893751,17182236,17584732,17716738,18321479,18778083,19233978,19388698,19513115,20536378,20904515,21407111,21670791,22988915,23415738,23456211,23975098,24133930,24278883,25013576,25085418,26331783,26666311,26923531,27586698,27698140,27839915,28140273,28960716,29107331,29196771,29546491,29913515,29982172,30421383,31644051,31784168,31833863,32322471,32345794,33131434,33135783,33237768,33407898,33500325,33717959,34250140,34489383,35165283,35733680,35757189,35896218,35975571,36056483,36388471,36749308,37392489,38094730,38288951,39295291,39434579,39745491,40200390,40232915,40790792,40865578,41100168,41355411,41922778,41963565,42426771,42595523,42880416,43362951,44448371,44761136,45365091,45713676,45889641,46060231,46237689,46429594,46430691,46636492,47330620,47700211,48160138,48240468,48279498,48430115,49035239,49750791,49914823,49956625,50001754,50356278,50373058,50426805,50562611,50950331,51339111,51794423,51830315,51983530,51999891,52528083,53328058,53715111,53761351,53788592,54373731,54377962,54397691,54490828,54630525,54721723,54739036,55221515,55294791,55951971,56136130,56477283,56796744,57133383,57382519,58116138,58272560,58443783,58603715,59516023,59710211,59736369,59947950,60274311,60512166,61232039,62196378,62360583,62380236,63061978,63287131,63896337,63944480,64273319,64668995,65005738,65041978,65478471,65556630,65737671,65800330,66265818,66310523,66363778,66623560,67051399,67363356,67420131,67504711,67859336,68025995,68696315,68890234,69157132,69927072,70324458,71114725,71306890,71548365,71937540,72058083,73469031,73853331,74091388,74646538,74773111,74876165,74951505,75019708,75379715,75762251,75899283,76182940,76318256,76341753,76678523,76733376,76801930,77263498,77377715,77602794,77844040,77938378,78042995,78122123,78173890,78575271,78583834,78667956,78960396,79243642,79688051,79948272,80085563,80723434,81501772,81631194,82027115,82379751,82435578,83726851,84147783,84243271,85022890,85176625,85337670,85407783,85568268,85676458,85827532,85858038,86162631,86325048,87074491,87574545,88118171,88540156,88676554,88699457,89851398,89903123,89941806,90088540,90455658,90614915,90923271,91026848,91419528,91469434,91654138,91783111,91796451,91930715,92162316,92255651,92853258,92865340,93412848,93453799,93539283,93651594,93808668,93901715,94657191,94781283,95213915,95392258,95897031,96086663,96639783,96895259,97115679,97179515,97307932,97381671,98354011,98369511,98414620,98432538,99109383,99816691,99848391,...,934298787403587615444021402370226363144267692433391765292790604370143299384647757516394638006396229230965740255373325442045880741240401029944313091978800441345493956931884225379804941867363334945233849740117647596276002017506819384119887797071231513433457978326147891570029580285311596147514609287771397264603849187681613539351343192993833382874267350727830349056191714283821136809444491504529716600952582465109692668866299630940514582553709631574725949546930656003038981099851033602734186423046610900769521492916249964071518947714631525304816774167033948405592393609409439861052406748634891604043314529328174282705516871849599780359509620099838694622198617529787593041441872831298179866042120581877918791187332770168419210813814757849325827234123653387669593158696501990516313180372450524008609982584065131811766890541526363082847812499669597823455136479659646452018804568375696463335003556455904393602869322633897506586132625185850866093916823045146997079423638169703765263927637254389149683925645112706023040009536199285135880003833059561946103339327548457325803489011824783657784005080487437025380427117133898956819420286709986901659241434711312444111205008109258369703599884290884474761632259995550682698944073770105671532498476307968018910726815369566729829411893503489651597328515934538884995225215696321839935713233843136399567134969141681620511866832298891579257942440241780885320370262885866360079216954209888601395822908818045168020656242360910373661177787581204058105123425726214405644586674587183051464728576499626941030573143420502964881353237983374912020244863014302074024130893646556358879422335420797679256822044263192492030944586020476950069621746693865525460042476789167677450399055648893522595202691132547538191244867214899241358046598157778016346296428500593782104166923961808892752647159632503563916632969967733725906247581295996753968916761113543138906372031139013380250848601671687039018274428183783754504271091920821635543166430439675084300565834674749737006808501715041150625848327798383211511828234999456540262912564936892833162314129170923031306022562414642831092668249689048456612367103061423120004873422324465272024177819898604711777307571280042009507476853764466666698106458709683140653595918791682665178517098356834966222606970739394236396811738083411949947669977898116726159955226643210333154832610905508385515940551627554074186381787227462886566661895298631702751332313632819020166666868203345091569101415214319200607305172028112650968229262244124053609177480812381776164186635198339003996591376275167835574746986905270800643410593807124734305688717683063999650739981895825614157125599265230609102045061039724161745683633885948198996778252002137136758459281839676839216738431109401499223515807172386538156300229252898505372853002748225115923451968017772587838071158836402581531719229228533384131234718317979523587574497554490929643220147378906055980882822878207521683492389099012319307512051220944645208260777428050026289070340493325082562360545953600010588522355389676027862501462652482592365360429623971531054664955500662313634424433585224129188225772649361896389734093197190980132526874316477837424010794229157021565425906185906958672418485290760546631214171699713232304251323251362027656177490791730029247305058388588153445718066871798280400692229253713381966421608798350922511697304255002809392499807772311245542952276906302863659311203891202510322402271797250413846527095211062003100027838454337514601649507557589269522047894295841040954147375288342608438966609257041399302359040289348362643293606480673088782900693086403010476741754719700408624674230059520581076472743675856541739423102182194186939579147231944205549916551939228991650920889920550221354244893762124828582250051917649282863712212064779787}
23542 144683048943786889320426779634816020317370226635488545281398679011619791835297: {70617,117685,141222,258841,658868,941240,1058895,1129488,1270674,1457558,1947097,2020742,2727044,3145382,3853508,4042837,5107958,5846041,6122377,7413044,8185717,8869897,10028468,10232857,10640341,10676438,11047177,11354847,11588617,11993941,12611798,13009844,13040835,13071637,13517675,13742857,13910224,14540102,14679541,14740143,15364358,15586467,15611828,15612697,15638822,15649002,16221210,16694264,16910468,17008982,17282582,17302624,17600437,18375542,18577844,18653941,18781047,18921158,19465452,19571977,19687988,21007477,21166388,21477795,21886879,21916441,21980915,22453622,22458308,22909648,22994918,23208841,23852341,24037431,24075782,24878197,25037444,25154342,25645304,25772041,25773354,26377098,26499302,26575107,26662357,27811147,28054297,28376198,28558297,28850967,28894388,29083047,30804567,31185397,31220984,31266970,31274948,31290479,31682197,32054041,32371844,33288841,33435062,33447224,34493462,34622675,35109044,35123607,35371477,35691943,35962647,36200895,36782264,37392182,37477715,37520364,37553941,37628127,38614288,38929028,39165994,39730210,40561844,41380047,41547210,41577398,41730841,42192068,42555637,42673177,42812675,43096628,43441074,43656182,43844617,44181044,44317024,44543864,44667100,44692118,44950742,44973258,45467558,45819541,45936635,45985844,46757078,46887044,47065018,47676252,47861624,47967428,48344437,48518691,48812822,49069142,49697151,49820041,49856652,50111847,50609557,50722057,50988490,51375210,51507541,52388198,52993988,53178841,53600520,53844327,54063577,54800224,54833941,55123962,55140548,55177622,55600777,55682918,55951420,56146357,56569028,57142095,57173888,57232117,57817268,57880117,58295615,59163275,59168341,59376919,59488777,59915017,60300585,60486788,60951568,61186188,61203158,61298367,61608457,61650252,61907588,62884167,63193238,63937142,64320624,64372664,65248597,65392151,65667878,66334388,66778474,67141704,67187737,67235740,67794697,67882742,68113535,68128118,68423795,68452148,68570514,68700277,69333188,69352838,69644391,69954738,69998041,70037444,70085942,70995930,71480341,71620148,71676757,72166537,72240207,72360702,72419247,72498308,72840700,73005398,73431541,73726388,74215718,74602628,74684377,74696963,75002631,75067417,75181382,75303044,75448867,75534417,75544597,75559587,75728992,75904118,76177844,76304341,76385222,77488184,77585462,77825078,77925044,77975295,77996917,78183541,78303878,79297237,79389577,79648492,79930600,79992087,80309017,80365748,80682888,80926982,81402038,81566943,81736242,81855541,82036117,82108554,82486297,82928504,83147444,83173648,83279450,84204195,84240278,84533941,84824170,85149577,85195116,86446415,86589638,86823782,86889097,87174207,87304628,87408840,87650228,87748057,88174837,88225622,88354424,88599817,89817808,89863957,89893508,89921925,89947657,90768249,90946441,91707542,92400038,92614235,92750617,92993941,93236096,93236617,93294567,93570354,93765944,93774635,93800341,94040857,94592967,94698998,94996441,95228675,95233717,95397820,95784841,95916720,96077444,96332437,96798997,97305050,97340041,97438742,97508607,97562967,97877557,97954057,97958708,98334945,98358442,98471108,98700495,99017497,99243541,99398727,99479942,99545667,99935340,...,1245731716538116820592028536493635150859023589911189020390387472493524399179530343355192850675194972307954320340497767256061174321653868039925750789305067255127325275909178967173073255823151113260311799653490196795034669356675759178826517062761642017911277304434863855426706107047082128196686145717028529686138465583575484719135124257325111177165689800970440465408255619045094849079259322006039622134603443286812923558488399507920686110071612842099634599395907541337385308133134711470312248564062147867692695323888333285428691930286175367073089032222711931207456524812545919814736542331513188805391086039104232376940689162466133040479346160133118259496264823373050124055255830441730906488056160775837225054916443693557892281085086343799101102978831537850226124211595335987355084240496600698678146643445420175749022520722035150777130416666226130431273515306212861936025072757834261951113338075274539191470492430178530008781510166914467821458555764060195996105898184226271687018570183005852199578567526816941364053346048265713514506671777412749261471119103397943101071318682433044877045340107316582700507236156178531942425893715613315868878988579615083258814940010812344492938133179054512633015509679994067576931925431693474228709997968410624025214302420492755639772549191337986202129771354579385179993633620928429119914284311790848532756179958855575494015822443065188772343923253655707847093827017181155146772289272279851468527763878424060224027541656481213831548237050108272077473497900968285874192782232782910735286304768666169254707430857894003953175137650644499882693659817352402765365507858195408478505896447227730239009096059017589989374592781360635933426162328925154033946723302385556903267198740865191363460270254843396717588326489619865655144062130877037355128395238000791709472222565282411857003529546176671418555510626623644967874996775061329005291889014818057518541829374852017840334464802228916052024365904245045006005694789227762180724221907252900112400754446232999649342411335620054867501131103731177615349104313332608720350550086582523777549752172227897375074696749886190441456890999585397942149822804081897493339831229765953696032237093198139615703076761706722679343302471685955555597475278279577520871461225055576886904689464475779954963475960985858981862415650777882599930226637197488968213273635524280444206443481207344514021254068836738765581842382969950515422215860398175603668443084843758693555555824271126788758801886952425600809740229370816867957639016325498738145569974416509034885582180264452005328788501700223780766329315873694400857880791742832979074251623577418666200986642527767485542834132353640812136060081386298882327578178514597598662371002669516182344612375786235785622317908145868665631354409563182050875066972337198007163804003664300154564602624023696783784094878448536775375625638971377845508312957757306031450099330072654572857626863171874741307843763837610028911323185465349759076682734961259526944347703237400035052093787324433443416480727938133347451363140519568037150001950203310123153813906165295374739553274000883084845899244780298838917634363532482528519645457596254640176702499088637116565347725638876028753901208247875944896557980387680728841618895599617643072335097668482703541569987722306705663073411184784204594290755829064373867589639004951175955228811731134563348929739006670412523333077029748327390603035875070484879081605188270013763203029063000551795369460281416004133370451272450019468866010076785692696063859061121387938863167051123477918622145676055199069812053719131150191058141974230785043867590781870680635655672959600544832898973412694108101963658234475388985897469576258915919438862975925607399888735918971988867894519894066961805659858349499771443000069223532377151616282753039716}
23543 145196179846204886021345194389061742159449758292954997755562835551240740201382: {94156,188296,211833,823585,988302,1176550,1411860,1505984,1694232,1906011,2186337,3031113,3408805,4090566,4718073,4816885,5780262,5947777,6794101,7661937,9266305,11119566,11584021,11613446,12171446,12429913,12535585,14607481,15042702,15139796,15233977,16014657,16262305,17387780,18837577,18917697,18938582,19514766,19514785,19653524,20045942,20781956,20865336,20867830,21138085,21149173,21628280,21652657,21810153,22439641,23046537,23222305,23417742,23458233,23473503,24331815,24609985,25041396,25299313,25365702,25374313,25513473,25923873,25953936,26031841,26457985,26719801,27318361,27563313,27866766,27909397,28072885,28381737,28637060,29198178,29266321,29531982,31296805,31489321,31749582,32049908,32056630,32184481,32912977,33680433,33687462,33787502,34364472,34399573,34492377,35169464,35433476,36113673,36117985,36642958,37556166,37731513,38467956,38543137,38660031,38777396,38975881,39026230,39093685,39367513,39565647,39748953,39848497,40464805,40795201,41072756,41358217,41809030,41878921,41900617,42564297,42814222,43341582,43391701,43886305,45557521,45977830,46831476,46900455,46912422,47606761,47950196,47963257,48267860,48557766,48661285,49548697,50027152,50152593,50170836,50518441,50702305,51075937,51184801,51740193,52529893,52663566,52740085,53332622,53435713,53847062,53870785,54128041,55173396,55226305,55396280,55474873,55679830,55833875,56088273,56280546,56326081,56398417,57482305,57921432,57950737,58214662,58393542,58608805,58748991,59092982,59595315,59755813,59827030,59959285,59964344,60842766,61237297,61744441,62320815,62366097,62371861,63288102,63568336,63667726,64644942,64691588,65161611,65484273,65872021,66242485,66262868,66271566,66475536,66815796,67000650,67038177,67317217,67426113,67435918,67459887,67802161,68201337,68207641,68500280,68925685,68978766,69939275,70135617,70330566,70566613,70597527,70711285,71467360,71514378,71792436,71868841,71951142,72112966,72271585,72365137,72562441,72776942,73219233,73268737,73498616,73603713,74111761,74784978,75608485,75959377,76189460,76482735,76555573,76577902,77062815,77112181,77310121,77384485,78582297,78590582,78869158,78915241,79490982,80092417,80400780,80465830,81160537,81581584,81731156,81966697,82045201,82200336,82685943,82710822,82766433,82917985,83524377,83575273,83845556,83927130,84044675,84474841,84675457,84853542,85191046,85565185,85760832,86666485,86725902,86947321,87312961,87546805,87565393,88896742,89522272,89525185,90536593,90600373,90622885,90695221,90730182,91050875,91427352,91510177,91779282,91804737,92120462,92157985,92263573,92475378,92567401,92636641,92859188,92861382,93253285,93272984,94128805,94661240,94789857,95021377,95222305,95236393,95400422,95905713,96174841,96320276,96480936,96558996,96860230,97160257,97406305,98070478,98501817,98813977,99028897,99501582,99560615,99829646,99913250,...,1868597574807175230888042804740452726288535384866783530585581208740286598769295515032789276012792458461931480510746650884091761482480802059888626183957600882690987913863768450759609883734726669890467699480235295192552004035013638768239775594142463026866915956652295783140059160570623192295029218575542794529207698375363227078702686385987666765748534701455660698112383428567642273618888983009059433201905164930219385337732599261881029165107419263149451899093861312006077962199702067205468372846093221801539042985832499928143037895429263050609633548334067896811184787218818879722104813497269783208086629058656348565411033743699199560719019240199677389244397235059575186082883745662596359732084241163755837582374665540336838421627629515698651654468247306775339186317393003981032626360744901048017219965168130263623533781083052726165695624999339195646910272959319292904037609136751392926670007112911808787205738645267795013172265250371701732187833646090293994158847276339407530527855274508778299367851290225412046080019072398570271760007666119123892206678655096914651606978023649567315568010160974874050760854234267797913638840573419973803318482869422624888222410016218516739407199768581768949523264519991101365397888147540211343064996952615936037821453630739133459658823787006979303194657031869077769990450431392643679871426467686272799134269938283363241023733664597783158515884880483561770640740525771732720158433908419777202791645817636090336041312484721820747322355575162408116210246851452428811289173349174366102929457152999253882061146286841005929762706475966749824040489726028604148048261787293112717758844670841595358513644088526384984061889172040953900139243493387731050920084953578335354900798111297787045190405382265095076382489734429798482716093196315556032692592857001187564208333847923617785505294319265007127833265939935467451812495162591993507937833522227086277812744062278026760501697203343374078036548856367567509008542183841643271086332860879350168601131669349499474013617003430082301251696655596766423023656469998913080525825129873785666324628258341846062612045124829285662185336499378096913224734206122846240009746844648930544048355639797209423554615142560084019014953707528933333396212917419366281307191837583365330357034196713669932445213941478788472793623476166823899895339955796233452319910453286420666309665221811016771031881103255108148372763574454925773133323790597263405502664627265638040333333736406690183138202830428638401214610344056225301936458524488248107218354961624763552328373270396678007993182752550335671149493973810541601286821187614249468611377435366127999301479963791651228314251198530461218204090122079448323491367267771896397993556504004274273516918563679353678433476862218802998447031614344773076312600458505797010745706005496450231846903936035545175676142317672805163063438458457066768262469436635959047175148995108981859286440294757812111961765645756415043366984778198024638615024102441889290416521554856100052578140680986650165124721091907200021177044710779352055725002925304965184730720859247943062109329911001324627268848867170448258376451545298723792779468186394381960265053748632955674848021588458314043130851812371813917344836970581521093262428343399426464608502646502724055312354981583460058494610116777176306891436133743596560801384458507426763932843217596701845023394608510005618784999615544622491085904553812605727318622407782405020644804543594500827693054190422124006200055676908675029203299015115178539044095788591682081908294750576685216877933218514082798604718080578696725286587212961346177565801386172806020953483509439400817249348460119041162152945487351713083478846204364388373879158294463888411099833103878457983301841779841100442708489787524249657164500103835298565727424424129559574}
23544 145711118745389817562891702582624501289856734079343168930486622743831117376843: {117695,141234,164759,235370,282444,305903,517682,1104359,1317736,1482453,1666583,1764825,1882480,2117790,2258976,2274359,2541348,2647703,2915116,2973959,3894194,4041484,4043183,4923263,5200583,5431463,5454088,5846543,6135849,6290764,6812543,7362959,7707016,8049359,8085674,8670393,9280343,10215916,10550759,10686503,11228759,11319023,11589623,11692082,12039983,12244754,12444623,13117583,13788743,13922759,14725343,14826088,15392183,15614063,15791423,16371434,16587959,16679349,16720463,17249759,17337863,17420169,17739794,18257169,18699383,18786959,18924745,19355423,20056936,20465714,20531759,21280682,21352876,21734725,21918383,22047959,22094354,22564053,22709694,22823903,23177234,23253863,23854463,23897303,23987882,24496223,24566905,24624359,24752423,25223596,25816823,25977445,26019688,26029103,26081670,26143274,26833943,27035350,27485714,27593759,27820448,28407873,28854359,29080204,29272149,29359082,29480286,30068913,30440783,30728716,30773281,31172934,31223656,31225394,31277644,31298004,31301745,31685063,32056943,32098223,32442420,32469383,32675303,32922143,33388528,33701903,33820936,34017964,34152023,34437959,34565164,34605248,34764263,35126613,35130743,35200874,35252759,35796325,36388103,36751084,36979657,36993743,37155688,37307882,37562094,37597583,37842316,37959023,38048553,38679959,38879759,38930904,39143954,39375976,39756503,40062385,40352063,40550183,41734703,41774063,41800149,42014954,42332776,42833759,42955590,43614959,43773758,43797267,43832882,43961830,44121023,44291845,44297973,44315303,44907244,44916616,45245063,45746759,45819296,45862343,45989836,46054823,46208663,46417682,47014223,47358383,47624373,47704682,48074862,48084945,48151564,48234959,48471745,48804359,49485263,49756394,49824743,49937759,50074888,50308684,50389103,50531193,50681253,51176183,51290608,51340945,51437759,51544082,51546708,52182959,52468801,52754196,52998604,52998983,53150214,53183903,53324714,53405543,54964437,55314359,55496759,55622294,55751783,56042759,56108594,56334249,56752396,57116594,57701934,57788776,57921623,58029359,58101143,58166094,58539345,58745759,58995743,59920823,59937745,60168959,60334825,61609134,61649543,61824863,62034983,62279759,62370794,62441968,62533940,62549896,62580958,62698463,62713545,62802959,63364394,64016759,64108082,64221333,64311289,64743688,64877759,64946423,65012373,65152223,65391959,65460383,66074759,66577682,66870124,66894448,67025303,67531943,67835063,68003183,68966745,68986924,69245350,70218088,70247214,70368633,70698863,70742954,70929359,71323583,71383886,71487503,71520263,71912759,71925294,72075959,72304103,72401790,72836649,73050959,73277423,73438943,73564528,74499959,74784364,74915543,74955430,75040728,75107882,75256254,75774359,76027703,77228576,77281633,77349359,77661959,77858056,78191543,78222623,78331988,78377903,78995349,79305383,79460420,79889063,79998933,80133959,80530823,80591759,80770593,80864485,81123688,81411263,81613861,81894143,82314983,82760094,82828585,83094420,83154796,83300759,83461682,83484841,83519745,83686703,84384136,84420819,84572183,85070759,85111274,85158503,85346354,85596143,85625350,85799759,85886903,86193256,86882148,87099359,87312364,87321993,87590313,87689234,88278229,88362088,88634048,88639473,89087728,89285543,89334200,89384236,89740545,89789759,89901484,89946516,89985143,90152303,90402503,90935116,91264149,91639082,91873270,91971688,92053943,92135759,92760623,93003983,93030983,93408143,93514156,93774088,93890759,94077743,94130036,94689359,94932153,95236825,95352504,95358949,95501589,95723248,95793313,95795303,95821463,95873759,95934856,96688874,96967413,97037382,97119263,97625644,98138284,98143103,98193959,99028463,99254543,99279623,99394302,99407349,99629903,99640082,99713304,99953759,...,2802896362210762846332064207110679089432803077300175295878371813110429898153943272549183914019188687692897220766119976326137642223721203089832939275936401324036481870795652676139414825602090004835701549220352942788828006052520458152359663391213694540300373934978443674710088740855934788442543827863314191793811547563044840618054029578981500148622802052183491047168575142851463410428333474513589149802857747395329078006598898892821543747661128894724177848640791968009116943299553100808202559269139832702308564478748749892214556843143894575914450322501101845216777180828228319583157220245904674812129943587984522848116550615548799341078528860299516083866595852589362779124325618493894539598126361745633756373561998310505257632441444273547977481702370960163008779476089505971548939541117351572025829947752195395435300671624579089248543437499008793470365409438978939356056413705127089390005010669367713180808607967901692519758397875557552598281750469135440991238270914509111295791782911763167449051776935338118069120028608597855407640011499178685838310017982645371977410467035474350973352015241462311076141281351401696870458260860129960704977724304133937332333615024327775109110799652872653424284896779986652048096832221310317014597495428923904056732180446108700189488235680510468954791985547803616654985675647088965519807139701529409198701404907425044861535600496896674737773827320725342655961110788657599080237650862629665804187468726454135504061968727082731120983533362743612174315370277178643216933760023761549154394185729498880823091719430261508894644059713950124736060734589042906222072392680939669076638267006262393037770466132789577476092833758061430850208865240081596576380127430367503032351197166946680567785608073397642614573734601644697724074139794473334049038889285501781346312500771885426678257941478897510691749898909903201177718742743887990261906750283340629416719116093417040140752545805015061117054823284551351263512813275762464906629499291319025252901697504024249211020425505145123451877544983395149634535484704998369620788737694810678499486942387512769093918067687243928493278004749067145369837101309184269360014620266973395816072533459695814135331922713840126028522430561293400000094319376129049421960787756375047995535551295070504898667820912218182709190435214250235849843009933694350178479865679929630999464497832716525156547821654882662222559145361682388659699985685895895108253996940898457060500000604610035274707304245642957601821915516084337952904687786732372160827532442437145328492559905595017011989774128825503506724240960715812401930231781421374202917066153049191998952219945687476842471376797795691827306135183119172485237050901657844596990334756006411410275377845519030517650215293328204497670547421517159614468900687758695516118559008244675347770355904053317763514213476509207744595157687685600152393704154953938570762723492663472788929660442136718167942648468634622565050477167297036957922536153662833935624782332284150078867211021479975247687081637860800031765567066169028083587504387957447777096081288871914593163994866501986940903273300755672387564677317948085689169202279591572940397580622949433512272032382687471064696277718557720876017255455872281639893642515099139696912753969754086082968532472375190087741915175165764460337154200615394841202076687761140145899264826395052767535091912765008428177499423316933736628856830718908590977933611673607530967206815391751241539581285633186009300083515363012543804948522672767808566143682887523122862442125865027825316899827771124197907077120868045087929880819442019266348702079259209031430225264159101225874022690178561743229418231027569625218269306546582560818737441695832616649749655817686974952762669761650664062734681286374485746750155752947848591136636194339361}
23545 146227871970172994212465239791032951477331767478093754587304348800794710057277: {188312,211851,353055,376592,423666,776523,1153019,1647170,1976604,2353100,2823720,3011968,3176685,3388464,3643895,3812022,4372674,4772327,5051855,5841291,6062226,6743639,6817610,7029191,7593407,7863455,8181132,9436146,9563279,9633770,11560524,11895554,12128511,12382919,12769895,12946847,12972827,13588202,15323874,15750383,17538123,17549819,18003791,18367131,18532610,22239132,22262591,22767227,23168042,23226892,23637311,24342892,24557151,24859826,25071170,26547323,26609691,26691095,27320699,29214962,29270831,29593319,29834183,29863307,30085404,30279592,30467954,30698571,30764903,31529495,31921023,32029314,32511227,32524610,33141531,34064541,34453979,34765851,34775560,35193947,35981823,36350255,37041179,37675154,37835394,37877164,38410895,38637719,39029532,39029570,39097055,39122505,39214911,39302039,39307048,40091884,40553025,41228571,41563912,41730672,41735660,41904203,42276170,42298346,42522455,43206455,43256560,43305314,43375691,43620306,43815527,44038623,44220429,44879282,45938855,46093074,46444610,46759401,46835484,46838091,46916466,46947006,47302895,48496607,48663630,48699419,49219970,49518911,50082792,50565179,50598626,50731404,50748626,51026946,51847746,51907872,52063682,52801311,52915970,52919879,53439602,54636722,54731159,55126626,55733532,55818794,55961823,56134055,56145770,56343141,56461787,56650727,56763474,57181883,57274120,57487295,58396356,58532642,58557551,58715931,59063964,60189455,60287963,60362471,61440827,61749743,62377199,62593610,62885855,62978642,63022431,63499164,63969503,64099816,64113260,64368962,64433385,65660637,65749323,65825954,65942745,66248255,67360866,67374924,67575004,68125799,68728944,68799146,68984754,69626523,69709727,70128983,70338928,70414919,70866952,70940495,70983227,71534843,71557023,72112293,72227346,72235970,72371351,72380363,72970703,73285916,73784219,73836119,74634591,75112332,75419099,75463026,75752423,76935912,77086274,77316123,77316827,77320062,77554792,77951762,78052460,78167425,78187370,78437579,78735026,79131294,79497906,79556711,79696994,79725321,79987071,80475227,80929610,81167483,81590402,82052327,82145512,82716434,83433441,83587655,83618060,83757842,83801234,83942999,84162891,84482123,84935903,85128594,85562111,85628444,85674891,85991279,86233655,86552901,86683164,86783402,87249141,87772610,88199387,91115042,91955660,92413701,92739479,93480455,93525179,93556191,93662952,93800910,93824844,93871437,94368167,95046591,95213522,95705279,95900392,95926514,96162123,96495959,96535720,97115532,97322570,97914985,98995799,99097394,99325525,99833903,99866523,...,3737195149614350461776085609480905452577070769733567061171162417480573197538591030065578552025584916923862961021493301768183522964961604119777252367915201765381975827727536901519219767469453339780935398960470590385104008070027277536479551188284926053733831913304591566280118321141246384590058437151085589058415396750726454157405372771975333531497069402911321396224766857135284547237777966018118866403810329860438770675465198523762058330214838526298903798187722624012155924399404134410936745692186443603078085971664999856286075790858526101219267096668135793622369574437637759444209626994539566416173258117312697130822067487398399121438038480399354778488794470119150372165767491325192719464168482327511675164749331080673676843255259031397303308936494613550678372634786007962065252721489802096034439930336260527247067562166105452331391249998678391293820545918638585808075218273502785853340014225823617574411477290535590026344530500743403464375667292180587988317694552678815061055710549017556598735702580450824092160038144797140543520015332238247784413357310193829303213956047299134631136020321949748101521708468535595827277681146839947606636965738845249776444820032437033478814399537163537899046529039982202730795776295080422686129993905231872075642907261478266919317647574013958606389314063738155539980900862785287359742852935372545598268539876566726482047467329195566317031769760967123541281481051543465440316867816839554405583291635272180672082624969443641494644711150324816232420493702904857622578346698348732205858914305998507764122292573682011859525412951933499648080979452057208296096523574586225435517689341683190717027288177052769968123778344081907800278486986775462101840169907156670709801596222595574090380810764530190152764979468859596965432186392631112065385185714002375128416667695847235571010588638530014255666531879870934903624990325183987015875667044454172555625488124556053521003394406686748156073097712735135018017084367683286542172665721758700337202263338698998948027234006860164602503393311193532846047312939997826161051650259747571332649256516683692125224090249658571324370672998756193826449468412245692480019493689297861088096711279594418847109230285120168038029907415057866666792425834838732562614383675166730660714068393427339864890427882957576945587246952333647799790679911592466904639820906572841332619330443622033542063762206510216296745527148909851546266647581194526811005329254531276080666667472813380366276405660857276802429220688112450603872917048976496214436709923249527104656746540793356015986365505100671342298987947621083202573642375228498937222754870732255998602959927583302456628502397060922436408180244158896646982734535543792795987113008008548547033837127358707356866953724437605996894063228689546152625200917011594021491412010992900463693807872071090351352284635345610326126876916914133536524938873271918094350297990217963718572880589515624223923531291512830086733969556396049277230048204883778580833043109712200105156281361973300330249442183814400042354089421558704111450005850609930369461441718495886124218659822002649254537697734340896516752903090597447585558936372788763920530107497265911349696043176916628086261703624743627834689673941163042186524856686798852929217005293005448110624709963166920116989220233554352613782872267487193121602768917014853527865686435193403690046789217020011237569999231089244982171809107625211454637244815564810041289609087189001655386108380844248012400111353817350058406598030230357078088191577183364163816589501153370433755866437028165597209436161157393450573174425922692355131602772345612041906967018878801634498696920238082324305890974703426166957692408728776747758316588927776822199666207756915966603683559682200885416979575048499314329000207670597131454848848259119148}
23546 146746445871394878327549705741744255780767007063123194653951197665736585909656: {164773,235390,282468,329518,470740,564888,611806,635499,869833,1035364,1713529,2208718,2470755,2635472,2941375,2964906,3333166,3529650,3764960,4235580,4517952,4548718,5082696,5295406,5718033,5830232,5947918,6445513,6559011,7788388,7821433,8082968,8086366,8095753,8643529,8780293,9093339,9846526,10226415,10401166,10862926,10908176,11229733,11693086,12271698,12581528,13625086,14154219,14450655,14725918,15414032,16098718,16171348,16854373,17340786,17515513,17843331,18560686,18832393,19880713,20382303,20431832,20533573,21101518,21373006,22457518,22481353,22638046,22985811,23179246,23384164,23899429,24079966,24489508,24541129,24889246,26235166,26494643,27577486,27798915,27845518,29033615,29450686,29652176,30428615,30784366,30983653,31228126,31481029,31582846,32101129,32719429,32742868,33175918,33358698,33440926,33950629,34073353,34393667,34499518,34675726,34752063,34840338,35296633,35479588,36368423,36514338,37289739,37398766,37573918,37606755,37849490,38082853,38323333,38710846,38923273,40113872,40593529,40931428,41063518,41777929,42561364,42705752,42837733,43423993,43469450,43657993,43703231,43822443,43836766,44095918,44125129,44188708,45128106,45287929,45419388,45647806,45701931,46354468,46507726,47346455,47708926,47794606,47975764,48043971,48277513,48786915,48992446,49133810,49248718,49504846,50114855,50318713,50431429,50447192,50544073,51633646,51954890,52039376,52058206,52163340,52169575,52286548,53667886,54070700,54771193,54971428,55187518,55319653,55538533,55640896,56084473,56087339,56512731,56753091,56815746,57708718,58034953,58142629,58160408,58544298,58544355,58718164,58960572,60137826,60811129,60881566,61457432,61546562,62008583,62285833,62345868,62447312,62450788,62555288,62596008,62603490,62809093,63370126,63414255,63447519,64113886,64196446,64884133,64884840,64938766,64957971,65350606,65430459,65844286,66115333,66777056,67031929,67318923,67403806,67641872,67860443,68035928,68043529,68304046,68875918,69047929,69130328,69139611,69210496,69447673,69528526,69666915,70144453,70253226,70261486,70374699,70401748,70420509,70441993,70505518,71527429,71592650,71877323,72776206,72995445,73502168,73829955,73865413,73959314,73961929,73987486,74311376,74539513,74615764,74923129,75124188,75195166,75684632,75782053,75897939,75918046,76097106,76122939,76540419,77294629,77359918,77759518,77771619,77861808,78095523,78230629,78287908,78751952,79066873,79373955,79513006,79713253,80124770,80141575,80159403,80172793,80630533,80704126,81100366,81955083,82353529,82689939,82712953,83160613,83339173,83469406,83548126,83600298,83695429,83728191,83912843,84029908,84218655,84468755,84665552,85145211,85667518,85911180,86677093,87229918,87547516,87594534,87665764,87798963,87923660,88242046,88583690,88595946,88630606,89407333,89814488,89827273,89833232,90490126,91332839,91489033,91493518,91607395,91638592,91724686,91979672,92109646,92417326,92635129,92835364,93041029,93306587,93890415,94028446,94167973,94247929,94327813,94467963,94716766,94964293,95122693,95248746,95409364,95831929,96149724,96169890,96303128,96469918,96553443,96943490,97001029,97310053,97565575,97608718,98153929,98230213,98610553,98663903,98738931,98970526,99290629,99512788,99649486,99875518,99964873,...,5605792724421525692664128414221358178865606154600350591756743626220859796307886545098367828038377375385794441532239952652275284447442406179665878551872802648072963741591305352278829651204180009671403098440705885577656012105040916304719326782427389080600747869956887349420177481711869576885087655726628383587623095126089681236108059157963000297245604104366982094337150285702926820856666949027178299605715494790658156013197797785643087495322257789448355697281583936018233886599106201616405118538279665404617128957497499784429113686287789151828900645002203690433554361656456639166314440491809349624259887175969045696233101231097598682157057720599032167733191705178725558248651236987789079196252723491267512747123996621010515264882888547095954963404741920326017558952179011943097879082234703144051659895504390790870601343249158178497086874998017586940730818877957878712112827410254178780010021338735426361617215935803385039516795751115105196563500938270881982476541829018222591583565823526334898103553870676236138240057217195710815280022998357371676620035965290743954820934070948701946704030482924622152282562702803393740916521720259921409955448608267874664667230048655550218221599305745306848569793559973304096193664442620634029194990857847808113464360892217400378976471361020937909583971095607233309971351294177931039614279403058818397402809814850089723071200993793349475547654641450685311922221577315198160475301725259331608374937452908271008123937454165462241967066725487224348630740554357286433867520047523098308788371458997761646183438860523017789288119427900249472121469178085812444144785361879338153276534012524786075540932265579154952185667516122861700417730480163193152760254860735006064702394333893361135571216146795285229147469203289395448148279588946668098077778571003562692625001543770853356515882957795021383499797819806402355437485487775980523813500566681258833438232186834080281505091610030122234109646569102702527025626551524929813258998582638050505803395008048498422040851010290246903755089966790299269070969409996739241577475389621356998973884775025538187836135374487856986556009498134290739674202618368538720029240533946791632145066919391628270663845427680252057044861122586800000188638752258098843921575512750095991071102590141009797335641824436365418380870428500471699686019867388700356959731359859261998928995665433050313095643309765324445118290723364777319399971371791790216507993881796914121000001209220070549414608491285915203643831032168675905809375573464744321655064884874290656985119811190034023979548257651007013448481921431624803860463562842748405834132306098383997904439891374953684942753595591383654612270366238344970474101803315689193980669512012822820550755691038061035300430586656408995341094843034319228937801375517391032237118016489350695540711808106635527028426953018415489190315375371200304787408309907877141525446985326945577859320884273436335885296937269245130100954334594073915845072307325667871249564664568300157734422042959950495374163275721600063531134132338056167175008775914895554192162577743829186327989733003973881806546601511344775129354635896171378338404559183145880795161245898867024544064765374942129392555437115441752034510911744563279787285030198279393825507939508172165937064944750380175483830350331528920674308401230789682404153375522280291798529652790105535070183825530016856354998846633867473257713661437817181955867223347215061934413630783502483079162571266372018600167030726025087609897045345535617132287365775046245724884251730055650633799655542248395814154241736090175859761638884038532697404158518418062860450528318202451748045380357123486458836462055139250436538613093165121637474883391665233299499311635373949905525339523301328125469362572748971493500311505895697182273272388678722}
23547 147266846821981123050732609439028885821118393836207841261478617336481373502122: {353085,376624,423702,494277,588425,706110,753184,847332,917709,1294205,1553046,2306038,3294340,3313077,3953208,4447359,4706200,4999749,5101453,5294475,5647440,6023936,6353370,6776928,6823077,7072597,7287790,7624044,7943109,8486749,8745348,8921877,9544654,9735485,10103710,11008837,11302057,11682582,12124452,12129549,13487278,13635220,13839733,14058382,14769789,15186814,15601749,15726910,16294389,16362264,17539629,17877853,18407547,18614089,18872292,19126558,19267540,20214185,20437629,22088877,22954613,23121048,23791108,24148077,24257022,24765838,25539790,25893694,25945654,26011179,27176404,27841029,28315013,29230205,30611885,30647748,31289509,31374109,31500766,31652277,32059509,32134537,33083717,33686277,33957069,34768869,35076246,35099638,35262293,36007582,36119949,36734262,37065220,37333869,37367533,39352749,40138349,40928585,41366229,41768277,42928853,43183333,44141293,44176029,44349485,44478264,44525182,44984057,45205493,45534454,45989933,46176549,46336084,46453784,46842189,47274622,47374269,48277373,48685784,49114302,49523149,49719652,49763877,50038047,50142340,50161389,50575613,50890357,51164285,51749277,52013589,52109573,52260507,53094646,53201705,53219382,53382190,53775253,54641398,54735877,54771507,55235885,56098149,56360877,56718293,56774235,57629237,57943085,58066269,58406477,58429924,58541662,59186638,59531437,59668366,59726614,59969705,60170808,60489037,60559184,60935908,61247813,61397142,61529806,61595277,63058990,63842046,64058628,64314397,65022454,65049220,65204175,65358185,65755149,65809733,66143877,66224053,66283062,67578589,67588375,67692159,68129082,68471709,68488813,68588393,68692937,68714285,68907958,69531702,69551120,69715693,69761589,70387894,71563389,71691909,71963646,72700510,72976969,73397705,73488669,73549909,73700715,73873077,74082358,74257269,75350308,75670788,75754328,75781733,76821790,77275438,77450469,77932335,78059064,78059140,78063485,78087309,78142217,78194110,78245010,78429822,78587677,78604078,78614096,80183768,80482213,80501829,81106050,82457142,82781277,83127824,83461344,83471320,83808406,84265237,84552340,84596692,85044910,85223619,85448633,85540429,86412910,86513120,86563077,86610628,86751382,87240612,87631054,87816447,88002185,88040197,88077246,88440858,88512413,89714237,89758564,90206739,91322349,91349717,91877710,92186148,92279417,92319843,92698957,92747557,92889220,93269705,93518802,93670968,93676182,93832932,93894012,93905235,94605790,94631333,95055189,96170829,96294669,96993214,97327260,97398838,97408149,97859885,98025909,98093813,98439940,98766429,99037822,99316693,99331493,99842509,...,8408689086632288538996192621332037268298409231900525887635115439331289694461829817647551742057566063078691662298359928978412926671163609269498817827809203972109445612386958028418244476806270014507104647661058828366484018157561374457078990173641083620901121804935331024130266222567804365327631483589942575381434642689134521854162088736944500445868406156550473141505725428554390231285000423540767449408573242185987234019796696678464631242983386684172533545922375904027350829898659302424607677807419498106925693436246249676643670529431683727743350967503305535650331542484684958749471660737714024436389830763953568544349651846646398023235586580898548251599787557768088337372976855481683618794379085236901269120685994931515772897324332820643932445107112880489026338428268517914646818623352054716077489843256586186305902014873737267745630312497026380411096228316936818068169241115381268170015032008103139542425823903705077559275193626672657794845251407406322973714812743527333887375348735289502347155330806014354207360085825793566222920034497536057514930053947936115932231401106423052920056045724386933228423844054205090611374782580389882114933172912401811997000845072983325327332398958617960272854690339959956144290496663930951043792486286771712170196541338326100568464707041531406864375956643410849964957026941266896559421419104588227596104214722275134584606801490690024213321481962176027967883332365972797240712952587888997412562406179362406512185906181248193362950600088230836522946110831535929650801280071284647463182557188496642469275158290784526683932179141850374208182203767128718666217178042819007229914801018787179113311398398368732428278501274184292550626595720244789729140382291102509097053591500840041703356824220192927843721203804934093172222419383420002147116667856505344038937502315656280034773824436692532075249696729709603533156228231663970785720250850021888250157348280251120422257637415045183351164469853654053790538439827287394719888497873957075758705092512072747633061276515435370355632634950185448903606454114995108862366213084432035498460827162538307281754203061731785479834014247201436109511303927552808080043860800920187448217600379087442405995768141520378085567291683880200000282958128387148265882363269125143986606653885211514696003462736654548127571305642750707549529029801083050535439597039788892998393493498149575469643464964647986667677436085047165979099957057687685324761990822695371181500001813830105824121912736928872805465746548253013858714063360197116482482597327311435985477679716785051035969322386476510520172722882147437205790695344264122608751198459147575996856659837062430527414130393387075481918405549357517455711152704973533790971004268019234230826133536557091552950645879984613493011642264551478843406702063276086548355677024734026043311067712159953290542640429527623233785473063056800457181112464861815712288170477990418366788981326410154503827945405903867695151431501891110873767608460988501806874346996852450236601633064439925743061244913582400095296701198507084250762513163872343331288243866615743779491984599505960822709819902267017162694031953844257067507606838774718821192741868848300536816097148062413194088833155673162628051766367616844919680927545297419090738261909262258248905597417125570263225745525497293381011462601846184523606230063283420437697794479185158302605275738295025284532498269950801209886570492156725772933800835020822592901620446175253724618743856899558027900250546089037631414845568018303425698431048662569368587326377595083475950699483313372593721231362604135263789642458326057799046106237777627094290675792477303677622068070535685229688254693082708875654807919639747682456212325087497849949248967453060924858288009284951992188204043859123457240250467258843545773409908583018083}
23548 147789081217018871989564841599600292753934874547185059419833824986128671491432: {258907,329546,400027,470780,564936,635553,659036,941480,1059165,1129776,1223612,1270998,1739666,2070728,2087851,2329569,2368147,3067627,3427058,3459057,3486451,4117925,4183051,4417436,4461187,4941510,5270944,5293867,5847547,5882750,5929812,5985787,6262051,6666332,7059300,7529920,8050747,8324851,8471160,9008851,9035904,9097436,9530055,9963427,10165392,10371451,10590812,10643107,10778827,10931685,11320987,11436066,11660464,11726851,11895836,11997067,12891026,13118022,13478107,14316981,14683387,14816947,15155565,15483667,15576776,15642866,16165936,16172732,16191506,17044025,17287058,17340907,17523873,17560586,18132547,18186678,18395851,18658867,18790267,19052851,19446187,19693052,20230917,20452830,20622307,20802332,21013051,21087573,21725852,21816352,22051867,22459466,22780221,23386172,23590365,24084425,24543396,25163056,25778947,26415427,27250172,28308438,28440067,28689837,28691851,28901310,28943347,29320051,29451836,29738885,30828064,31814851,32197436,32342696,32681227,33297907,33708746,33970505,34525867,34681572,35031026,35503051,35686662,35868307,36385533,36475627,37081147,37121372,37148757,37322851,37664786,38309685,38840541,38918481,39365707,39761426,40081747,40647061,40764606,40863664,41067146,41150947,41742427,42096451,42203036,42600061,42685051,42746012,43623067,44672827,44915036,44962706,45276092,45601051,45832387,45971622,46331525,46358492,46768328,47099587,47251149,47798858,48159932,48358013,48979016,49082258,49778492,49947187,50736451,51522187,51634147,51649273,51857851,52470332,52614369,52649457,52989286,53194027,54011373,54629851,55101393,55154972,55597830,55691036,56271451,57031987,57681067,57896851,57920105,58067230,58112347,58901372,59304352,60038851,60857230,61568732,61626451,61967306,62149565,62361787,62456252,62677925,62962058,63165692,64029307,64202258,64959187,65438858,65473267,65485736,65985547,66285037,66351836,66717396,66787773,66801451,66881852,67309051,67612747,67901258,68016667,68146706,68301681,68787334,68999036,69351452,69504126,69680676,70160797,70593266,70614067,70911933,70959176,71107987,72736846,72773851,73028676,73037405,73671453,74579478,74797532,74994547,75147836,75213510,75376867,75698980,75853147,76165706,76169885,76646666,77421692,77846546,78020851,78300787,79414051,79598587,79641969,79829073,80073285,80150467,80227744,80608387,81187058,81311525,81700051,81862856,81962097,82127036,82151851,82450973,82601851,83318107,83555858,84118387,84383851,85122728,85411504,85675466,85963027,86397547,86847986,86938900,87315986,87406462,87644886,87673532,87690307,87812493,87861451,88191836,88250258,88288051,88377416,88779957,89304547,89502549,89589921,89976451,90227227,90256212,90575858,90838776,91058467,91295612,91403862,91800427,92095713,92294709,92708936,92861851,93015452,93911107,94187885,94588485,94692910,94709947,95417852,95589212,95763069,95894707,95951528,96087942,96207907,96442051,96555026,96675547,97533681,97573830,97573925,97984892,97986451,98215627,98267620,98497436,98899267,99009692,99276547,99351787,99424593,...,11211585448843051385328256828442716357731212309200701183513487252441719592615773090196735656076754750771588883064479905304550568894884812359331757103745605296145927483182610704557659302408360019342806196881411771155312024210081832609438653564854778161201495739913774698840354963423739153770175311453256767175246190252179362472216118315926000594491208208733964188674300571405853641713333898054356599211430989581316312026395595571286174990644515578896711394563167872036467773198212403232810237076559330809234257914994999568858227372575578303657801290004407380867108723312913278332628880983618699248519774351938091392466202462195197364314115441198064335466383410357451116497302473975578158392505446982535025494247993242021030529765777094191909926809483840652035117904358023886195758164469406288103319791008781581741202686498316356994173749996035173881461637755915757424225654820508357560020042677470852723234431871606770079033591502230210393127001876541763964953083658036445183167131647052669796207107741352472276480114434391421630560045996714743353240071930581487909641868141897403893408060965849244304565125405606787481833043440519842819910897216535749329334460097311100436443198611490613697139587119946608192387328885241268058389981715695616226928721784434800757952942722041875819167942191214466619942702588355862079228558806117636794805619629700179446142401987586698951095309282901370623844443154630396320950603450518663216749874905816542016247874908330924483934133450974448697261481108714572867735040095046196617576742917995523292366877721046035578576238855800498944242938356171624888289570723758676306553068025049572151081864531158309904371335032245723400835460960326386305520509721470012129404788667786722271142432293590570458294938406578790896296559177893336196155557142007125385250003087541706713031765915590042766999595639612804710874970975551961047627001133362517666876464373668160563010183220060244468219293138205405054051253103049859626517997165276101011606790016096996844081702020580493807510179933580598538141938819993478483154950779242713997947769550051076375672270748975713973112018996268581479348405236737077440058481067893583264290133838783256541327690855360504114089722245173600000377277504516197687843151025500191982142205180282019594671283648872730836761740857000943399372039734777400713919462719718523997857991330866100626191286619530648890236581446729554638799942743583580433015987763593828242000002418440141098829216982571830407287662064337351811618751146929488643310129769748581313970239622380068047959096515302014026896963842863249607720927125685496811668264612196767995808879782749907369885507191182767309224540732476689940948203606631378387961339024025645641101511382076122070600861173312817990682189686068638457875602751034782064474236032978701391081423616213271054056853906036830978380630750742400609574816619815754283050893970653891155718641768546872671770593874538490260201908669188147831690144614651335742499129329136600315468844085919900990748326551443200127062268264676112334350017551829791108384325155487658372655979466007947763613093203022689550258709271792342756676809118366291761590322491797734049088129530749884258785110874230883504069021823489126559574570060396558787651015879016344331874129889500760350967660700663057841348616802461579364808306751044560583597059305580211070140367651060033712709997693267734946515427322875634363911734446694430123868827261567004966158325142532744037200334061452050175219794090691071234264574731550092491449768503460111301267599311084496791628308483472180351719523277768077065394808317036836125720901056636404903496090760714246972917672924110278500873077226186330243274949766783330466598998623270747899811050679046602656250938725145497942987000623011791394364546544777357444}
23549 148313155473833320771165311440378487866349030047217408458501947915218805176108: {23549,494319,588475,706170,753248,823795,847404,988554,1176850,1412220,1506368,1529515,1694664,1811887,1835418,1906497,2588410,2609499,3106092,4612076,5140587,5521795,6588680,6626154,7412265,7499371,7906416,8332915,8824125,8894718,9192019,9412400,9999498,10202906,10588950,10597147,11294880,11371795,12047872,12706740,13238515,13553856,13629679,13646154,14145194,14575580,14869795,15248088,15672499,15886218,16973498,17154099,17490696,17843754,19089308,19336539,19470970,19677033,20207420,20215915,20385871,22017674,22604114,23365164,23464299,23543419,24248904,24259098,24287259,24616315,25930587,26002915,26340879,26974556,27128179,27157315,27270440,27280017,27578287,27679466,28116764,28299859,28613587,29112619,29232715,29539578,30373628,30679245,31203498,31453820,31646191,31993699,32588778,32724528,33689199,34062715,35079258,35755706,35777071,36150319,36814795,36815094,36975919,37228178,37744584,38253116,38535080,40231027,40246795,40428370,40875258,40922287,41498971,41673619,42462657,42603199,42856639,42906511,42932527,43351965,44177754,45909226,46003099,46242096,46401715,46503787,47410639,47582216,48296154,48514044,49531676,49637299,50276299,50563119,50734099,51079580,51089071,51606847,51787388,51891308,52022358,52546539,52753795,53432515,53529993,54141967,54351739,54352808,55682058,56143795,56497179,56595115,56630026,57300019,57948115,58207567,58240111,58460410,58640947,58706419,59485039,59642139,59771179,60199915,60475411,61146909,61223770,61295496,61600719,61760347,62089279,62223115,62579018,62748218,63001532,63304554,64119018,64269074,64755499,65587915,66167434,67372554,67444059,67914138,68348479,68852971,68943715,68957433,69537738,69613795,69946579,70152492,70199276,70524586,71629999,71698287,72015164,72239898,72383779,73318627,73468524,73623387,73626715,74130440,74482387,74667738,74735066,76575259,76774459,76960915,77330239,77775139,78070315,78189247,78705498,78935539,78957115,79459567,79483929,80276698,81120319,81563311,81857170,82732458,82939795,83396745,83536554,83602315,83652427,83957587,84385459,84697231,85857706,86006107,86248795,86366666,86689315,87100845,87335419,88282586,88352058,88698970,88956528,89022571,89050364,89616859,89968114,90410986,91068908,91285845,91501459,91979866,92353098,92672168,92907568,92950959,93496915,93684378,93934795,94443087,94549244,94623725,94639459,94748538,95423227,96199999,96303387,96549871,96554746,96777115,97371568,97831219,98046979,98158287,98228604,99046298,99439304,99527754,...,16817378173264577077992385242664074536596818463801051775270230878662579388923659635295103484115132126157383324596719857956825853342327218538997635655618407944218891224773916056836488953612540029014209295322117656732968036315122748914157980347282167241802243609870662048260532445135608730655262967179885150762869285378269043708324177473889000891736812313100946283011450857108780462570000847081534898817146484371974468039593393356929262485966773368345067091844751808054701659797318604849215355614838996213851386872492499353287341058863367455486701935006611071300663084969369917498943321475428048872779661527907137088699303693292796046471173161797096503199575115536176674745953710963367237588758170473802538241371989863031545794648665641287864890214225760978052676856537035829293637246704109432154979686513172372611804029747474535491260624994052760822192456633873636136338482230762536340030064016206279084851647807410155118550387253345315589690502814812645947429625487054667774750697470579004694310661612028708414720171651587132445840068995072115029860107895872231864462802212846105840112091448773866456847688108410181222749565160779764229866345824803623994001690145966650654664797917235920545709380679919912288580993327861902087584972573543424340393082676652201136929414083062813728751913286821699929914053882533793118842838209176455192208429444550269169213602981380048426642963924352055935766664731945594481425905175777994825124812358724813024371812362496386725901200176461673045892221663071859301602560142569294926365114376993284938550316581569053367864358283700748416364407534257437332434356085638014459829602037574358226622796796737464856557002548368585101253191440489579458280764582205018194107183001680083406713648440385855687442407609868186344444838766840004294233335713010688077875004631312560069547648873385064150499393459419207066312456463327941571440501700043776500314696560502240844515274830090366702328939707308107581076879654574789439776995747914151517410185024145495266122553030870740711265269900370897807212908229990217724732426168864070996921654325076614563508406123463570959668028494402872219022607855105616160087721601840374896435200758174884811991536283040756171134583367760400000565916256774296531764726538250287973213307770423029392006925473309096255142611285501415099058059602166101070879194079577785996786986996299150939286929929295973335354872170094331958199914115375370649523981645390742363000003627660211648243825473857745610931493096506027717428126720394232964965194654622871970955359433570102071938644772953021040345445764294874411581390688528245217502396918295151993713319674124861054828260786774150963836811098715034911422305409947067581942008536038468461652267073114183105901291759969226986023284529102957686813404126552173096711354049468052086622135424319906581085280859055246467570946126113600914362224929723631424576340955980836733577962652820309007655890811807735390302863003782221747535216921977003613748693993704900473203266128879851486122489827164800190593402397014168501525026327744686662576487733231487558983969199011921645419639804534034325388063907688514135015213677549437642385483737696601073632194296124826388177666311346325256103532735233689839361855090594838181476523818524516497811194834251140526451491050994586762022925203692369047212460126566840875395588958370316605210551476590050569064996539901602419773140984313451545867601670041645185803240892350507449237487713799116055800501092178075262829691136036606851396862097325138737174652755190166951901398966626745187442462725208270527579284916652115598092212475555254188581351584954607355244136141071370459376509386165417751309615839279495364912424650174995699898497934906121849716576018569903984376408087718246914480500934517687091546819817166036166}
23550 148839076032064541364488688665275178808734370905002753859664868138050174693924: {258929,305981,447089,517814,659092,800054,941560,963869,1059255,1129872,1245341,1271106,1318072,1482831,1765275,1882960,2118330,2259552,2415041,2447224,2541996,2753127,3479332,3533249,3882615,4141456,4175702,4183409,4229789,4507901,4659138,4736294,4924529,5201921,5340509,5571329,5765095,5986301,6135254,6308609,6538589,6854116,6918114,6972902,8051441,8097149,8188541,8235850,8366102,8834872,8872961,8922374,9691889,9883020,9939231,10009661,10541888,10587734,10689281,11051009,11231681,11321969,11695094,11727869,11765500,11859624,11971574,11998109,12043121,12524102,12582641,12807101,13255421,13332664,13342077,13479281,13926401,14060381,14118600,14729201,14999247,15059840,15304359,15396221,15795569,15883425,16101494,16649702,16724861,16857329,16942320,16945601,17606621,18017702,18071808,18194872,18219475,18397469,18441329,18704321,18835709,19060110,19360541,19491569,19926854,19971389,20330784,20469231,20537201,20624129,20742902,21014909,21181624,21188381,21217791,21286214,21557654,21863370,22053821,22183361,22641974,22743869,22872132,22959089,23320928,23388929,23453702,23603549,23791672,23829327,23861635,23994134,24032189,24630941,24759041,24887069,25057661,25259275,25460247,25782052,25823741,26236044,26417789,26765631,26841149,26956214,28064369,28442621,28484609,28633962,28736369,28987841,29206455,29364509,29366774,29633894,30199229,30311130,30967334,31153552,31285732,31569521,31817729,32230769,32331872,32345464,32383012,32478209,32725361,32807681,33026511,33054449,33300929,33547121,33718195,33906171,34088050,34161341,34283969,34574116,34681814,35047746,35121172,35145955,35262401,35384381,35546909,36265094,36276701,36373356,36388647,36519389,36791702,37124849,37317734,37326269,37580534,37808861,37967035,38089841,38105702,38690621,38810561,38892374,39317275,39369329,39386104,39608321,40461834,40482161,40680221,40905660,40917629,41154749,41244614,41519199,41604664,41634439,41785661,42026102,42100349,42139649,42175146,42571421,42845681,42963101,43451704,43627121,43632704,43666109,44103734,44309367,44327681,44444189,44715761,44918932,45560442,45643889,45875201,46067741,46772344,46805247,47027441,47180730,47558707,47677181,47816395,48168850,48248561,48362621,48514589,48883167,49086792,49612529,49951901,50215409,50326112,50403389,50628701,50966129,51557894,52618887,52830854,53199089,53346929,53531549,53633559,54047191,54304769,54500344,54854909,55222641,55330241,55622081,55767809,55842267,55877021,56167901,56616876,56880134,57037469,57150379,57379674,57383702,57686621,57802620,57886694,57938369,58046141,58117949,58153841,58440689,58640102,58691261,58870001,58903672,59119901,59477770,59654081,60044669,60575729,60642555,60893501,61312887,61632449,61656128,61667549,61914595,62367869,62821361,63551069,63629702,63724289,63849475,64394872,64685392,64734235,64793789,64864135,64965569,65171441,65274269,65362454,65411261,66026141,66266631,66595814,66841949,67146689,67349489,67417492,67941010,68057021,68325629,68627201,68863839,69051734,69061661,69328349,69363144,69528029,70062052,70158449,70621121,70654109,70818929,71006102,71115101,71147969,71345009,71373324,71736614,72032381,72195521,72325889,72423581,72444231,72771066,72781169,72951254,73396541,73590269,74162294,74242744,74297514,74645702,75002141,75329572,75416321,75575261,75860849,75892541,76050881,76461629,76619370,77373041,77681082,77685761,77836962,78033537,78308801,78495089,78731414,78751915,78959549,79329821,79422209,79522852,79637501,80158721,80163494,80189309,80250461,80647169,80921021,81088147,81294122,81527261,81529212,81727328,81738689,81889469,82134292,82190429,82301894,82520561,83326781,83356529,83484854,83523087,84192902,84392669,84406072,84945039,85185281,85200122,85370102,85448189,85492024,85913981,86001089,86435549,87009391,87040769,87213041,87246134,87690615,87699581,87728129,87749095,87899249,88137247,88467569,89345654,89830072,89902301,89925412,90013949,90018955,90431489,90552184,90985409,91202102,91233629,91664774,91835655,91837661,91943244,92165501,92301761,92663050,92716984,92871869,92898929,93536656,93868527,94081649,94122327,94188401,94199174,94502298,94799741,94956831,95037809,95143409,95380541,95538269,95597716,95905181,96178527,96218429,96319864,96403611,96478589,96686141,96716026,97151261,97382849,97442059,97767389,97958032,98099201,98164516,98226461,98251889,98404289,99251151,99287549,99312641,99362801,99556984,99894374,...,25226067259896865616988577863996111804895227695701577662905346317993869083385489452942655226172698189236074986895079786935238780013490827808496453483427611916328336837160874085254733430418810043521313942983176485099452054472684123371236970520923250862703365414805993072390798667703413095982894450769827726144303928067403565562486266210833501337605218469651419424517176285663170693855001270622302348225719726557961702059390090035393893728950160052517600637767127712082052489695977907273823033422258494320777080308738749029931011588295051183230052902509916606950994627454054876248414982213142073309169492291860705633048955539939194069706759742695644754799362673304265012118930566445050856383137255710703807362057984794547318691972998461931797335321338641467079015284805553743940455870056164148232469529769758558917706044621211803236890937491079141233288684950810454204507723346143804510045096024309418627277471711115232677825580880017973384535754222218968921144438230582001662126046205868507041465992418043062622080257477380698668760103492608172544790161843808347796694203319269158760168137173160799685271532162615271834124347741169646344799518737205435991002535218949975981997196875853880818564071019879868432871489991792853131377458860315136510589624014978301705394121124594220593127869930232549894871080823800689678264257313764682788312644166825403753820404472070072639964445886528083903649997097918391722138857763666992237687218538087219536557718543744580088851800264692509568838332494607788952403840213853942389547671565489927407825474872353580051796537425551122624546611301386155998651534128457021689744403056361537339934195195106197284835503822552877651879787160734369187421146873307527291160774502520125110070472660578783531163611414802279516667258150260006441350003569516032116812506946968840104321473310077596225749090189128810599468684694991912357160752550065664750472044840753361266772912245135550053493409560962161371615319481862184159665493621871227276115277536218242899183829546306111066897904850556346710819362344985326587098639253296106495382481487614921845262609185195356439502042741604308328533911782658424240131582402760562344652801137262327217987304424561134256701875051640600000848874385161444797647089807375431959819961655634544088010388209963644382713916928252122648587089403249151606318791119366678995180480494448726408930394893943960003032308255141497937299871173063055974285972468086113544500005441490317472365738210786618416397239644759041576142190080591349447447791981934307956433039150355153107907967159429531560518168646442311617372086032792367826253595377442727990569979511187291582242391180161226445755216648072552367133458114920601372913012804057702692478400609671274658851937639953840479034926793654436530220106189828259645067031074202078129933203136479859871627921288582869701356419189170401371543337394585447136864511433971255100366943979230463511483836217711603085454294505673332621302825382965505420623040990557350709804899193319777229183734740747200285890103595521252752287539491617029993864731599847231338475953798517882468129459706801051488082095861532771202522820516324156463578225606544901610448291444187239582266499467019487884155299102850534759042782635892257272214785727786774746716792251376710789677236576491880143034387805538553570818690189850261313093383437555474907815827214885075853597494809852403629659711476470177318801402505062467778704861338525761173856231570698674083700751638267112894244536704054910277095293145987708105761979132785250427852098449940117781163694087812405791368927374978173397138318713332881282872027377431911032866204211607055689064764079248126626964423758919243047368636975262493549847746902359182774574864027854855976564612131577370371720751401776530637320229725749054249}
23551 149366849353744570066199139828991285481021472006164081564107485793901739339390: {47098,776721,823865,988638,1153313,1176950,1200081,1412340,1506496,1647590,1694808,1906659,1977108,2141321,2353700,2824440,3012736,3059030,3177495,3389328,3623774,3670836,3812994,4349165,5176820,5218998,6212184,6263553,6988707,7104441,7730513,8016569,8567645,8862893,9202881,9224152,10273433,10281174,10377171,10459353,11043590,11114081,11666081,12353775,12523901,12549153,13177360,13252308,13383561,14706875,14779613,14824530,14998742,15812832,15881601,15920513,16665830,16753361,17299601,17542641,17648250,17789436,17957361,18384038,18533921,18786153,18824800,19998996,20405812,20817713,21177900,21194294,22589760,22743590,24092393,24095744,24152241,24341501,24974553,25413480,26313233,26477030,27026553,27107712,27259358,27292308,28093769,28290388,28302281,28590165,29151160,29739590,29890281,30496176,31114353,31344998,31772436,31929321,32227565,32336481,32537633,32592521,32795055,33946996,33962961,34200161,34308198,34462841,34981392,35180553,35608541,35687508,35991201,36404081,38020241,38178616,38673078,38941940,39107165,39354066,40414840,40431830,40434321,40478765,40771742,40925801,41027681,42281993,42950943,43217645,43901465,44035348,44050161,44360969,44450841,44964089,45208228,45466695,46451001,46730328,46928598,47086838,47687801,48497808,48518196,48574518,49232630,50738441,51132075,51540713,51861174,52005830,52022721,52274561,52571619,52681758,53060561,53949112,54256358,54314630,54397641,54540880,54560034,54959021,55156574,55187553,55358932,55976601,56148665,56233528,56345513,56370801,56599718,57158553,57227174,58125113,58225238,58338561,58465430,58720409,59079156,60377993,60692751,60747256,61358490,61501481,61866921,62406996,62907640,63039153,63262719,63292382,63985961,63987398,64646129,64761041,64962401,65177556,65449056,66155601,67378398,68125430,68340663,68790761,69364889,70158516,70771095,71511412,71554142,71956601,72253275,72300638,72373793,72989501,73629590,73630188,73855313,73951838,74456356,74770481,74805521,75489168,75893009,76506232,77070160,77336841,78601313,79233161,79246281,79970561,80391761,80462054,80493590,80856740,81127361,81371693,81750516,81844574,82997942,83203481,83347238,84043613,84271865,84279881,84328169,84392681,84503969,84925314,85206398,85320201,85584113,85713278,85813022,85865054,86013521,86069511,86075553,86703930,86830041,87112361,87577565,87960153,88222073,88355508,88372001,89216655,91818452,91823081,92006198,92484192,92803430,93007574,93493889,93549401,93906761,94161965,94821278,95054201,95164432,95431421,95444553,96521201,96592308,97028088,97459313,98043681,99063352,99274598,99403565,99893721,...,33634756346529154155984770485328149073193636927602103550540461757325158777847319270590206968230264252314766649193439715913651706684654437077995271311236815888437782449547832113672977907225080058028418590644235313465936072630245497828315960694564334483604487219741324096521064890271217461310525934359770301525738570756538087416648354947778001783473624626201892566022901714217560925140001694163069797634292968743948936079186786713858524971933546736690134183689503616109403319594637209698430711229677992427702773744984998706574682117726734910973403870013222142601326169938739834997886642950856097745559323055814274177398607386585592092942346323594193006399150231072353349491907421926734475177516340947605076482743979726063091589297331282575729780428451521956105353713074071658587274493408218864309959373026344745223608059494949070982521249988105521644384913267747272272676964461525072680060128032412558169703295614820310237100774506690631179381005629625291894859250974109335549501394941158009388621323224057416829440343303174264891680137990144230059720215791744463728925604425692211680224182897547732913695376216820362445499130321559528459732691649607247988003380291933301309329595834471841091418761359839824577161986655723804175169945147086848680786165353304402273858828166125627457503826573643399859828107765067586237685676418352910384416858889100538338427205962760096853285927848704111871533329463891188962851810351555989650249624717449626048743624724992773451802400352923346091784443326143718603205120285138589852730228753986569877100633163138106735728716567401496832728815068514874664868712171276028919659204075148716453245593593474929713114005096737170202506382880979158916561529164410036388214366003360166813427296880771711374884815219736372688889677533680008588466671426021376155750009262625120139095297746770128300998786918838414132624912926655883142881003400087553000629393121004481689030549660180733404657879414616215162153759309149578879553991495828303034820370048290990532245106061741481422530539800741795614425816459980435449464852337728141993843308650153229127016812246927141919336056988805744438045215710211232320175443203680749792870401516349769623983072566081512342269166735520800001131832513548593063529453076500575946426615540846058784013850946618192510285222571002830198116119204332202141758388159155571993573973992598301878573859858591946670709744340188663916399828230750741299047963290781484726000007255320423296487650947715491221862986193012055434856253440788465929930389309245743941910718867140204143877289545906042080690891528589748823162781377056490435004793836590303987426639348249722109656521573548301927673622197430069822844610819894135163884017072076936923304534146228366211802583519938453972046569058205915373626808253104346193422708098936104173244270848639813162170561718110492935141892252227201828724449859447262849152681911961673467155925305640618015311781623615470780605726007564443495070433843954007227497387987409800946406532257759702972244979654329600381186804794028337003050052655489373325152975466462975117967938398023843290839279609068068650776127815377028270030427355098875284770967475393202147264388592249652776355332622692650512207065470467379678723710181189676362953047637049032995622389668502281052902982101989173524045850407384738094424920253133681750791177916740633210421102953180101138129993079803204839546281968626903091735203340083290371606481784701014898474975427598232111601002184356150525659382272073213702793724194650277474349305510380333903802797933253490374884925450416541055158569833304231196184424951110508377162703169909214710488272282142740918753018772330835502619231678558990729824849300349991399796995869812243699433152037139807968752816175436493828961001869035374183093639634332072332}
23552 149896481923374760049127775027296919343646463800849517240771771122235887907788: {70647,306007,517858,611962,894178,1010887,1035628,1318184,1482957,1600108,1765425,1854367,1883120,1927738,2118510,2259744,2471385,2490682,2542212,2636144,2942125,2965662,3530550,3765920,4230151,4236660,4519104,4588545,4830082,4894448,5083992,5435661,5506254,5617951,5719491,6471025,6585127,6958664,7066498,7765230,7828497,8071133,8097847,8282912,8351404,8366818,8459578,8782567,9015802,9318276,9465487,9472588,9738151,9849058,10403842,10681018,11142658,11503447,11530190,11972602,12044167,12270508,12448951,12617218,13077178,13708232,13836228,13945804,14463151,15421761,15796951,16102882,16194298,16377082,16471700,16565385,16732204,17520127,17669744,17745922,17844748,18442951,19362247,19383778,19766040,19878462,20016727,20019322,21083776,21175468,21378562,22102018,22236795,22463362,22498113,22643938,22745887,23004151,23390188,23455738,23531000,23648551,23719248,23943148,23996218,24034327,24086242,24998745,25048204,25165282,25507265,25614202,26208151,26472375,26510842,26665328,26684154,26958562,27576057,27852802,27856447,28120762,28237200,28487167,29458402,29998494,30119680,30608718,30618151,30792442,30992047,31489567,31591138,31613767,31766850,31791441,32202988,32233687,32851807,33299404,33406289,33449722,33714658,33884640,33891202,34082647,34115385,35213242,35306287,35362985,36035404,36143616,36389744,36438950,36794938,36882658,37007287,37408642,37671418,38120220,38213647,38721082,38983138,39173551,39715545,39853708,39942778,40661568,40723567,40889037,40938462,41074402,41248258,41485804,42029818,42143551,42363248,42376762,42433745,42435582,42572428,42967087,43115308,43670167,43726740,44107642,44137447,44366722,44609385,45283948,45487738,45744264,45918178,46225951,46641856,46777858,46907404,47017497,47205473,47207098,47583344,47658654,47719807,47723270,47988268,48064378,48291127,48677425,49204337,49261882,49518082,49654951,49774138,50115322,50445727,50518550,50558407,50920494,51462297,51564104,51647482,52472088,52835578,53019151,53153849,53352007,53531262,53573551,53682298,53912428,54346687,55044185,56128738,56510285,56885242,56969218,57267924,57472738,57975682,58009617,58159447,58412910,58696927,58729018,58733548,59031099,59267788,60398458,60622260,60647745,60828847,61157613,61673551,61934668,61989127,62307104,62571464,63139042,63557287,63635458,63765151,63873953,64461538,64490407,64663744,64690928,64766024,64956418,65450722,65615362,65622967,66053022,66108898,66601858,66942953,67094242,67153327,67436390,67541357,67812342,68176100,68322682,68365951,68567938,69148232,69198665,69363628,69568207,70095492,70242344,70291910,70392897,70524802,70630257,70661167,70768762,70858951,71093818,71155087,72530188,72553402,72746712,72777294,72861777,73038778,73306951,73583404,73597687,73848945,73984327,74080807,74249698,74635468,74652538,74945887,75161068,75617722,75900247,75934070,76179682,76211404,77318287,77381242,77621122,77784748,77791761,78008745,78534151,78634550,78738658,78772208,78998551,79022637,79216642,79921951,80197567,80923668,80964322,81360442,81384537,81471945,81565927,81811320,81835258,81840051,81928087,82309498,82489228,82734861,83038398,83209328,83268878,83365207,83571322,84052204,84200698,84279298,84350292,84899577,85142842,85486327,85691362,85840761,85926202,86680433,86903408,87254242,87265408,87332218,87337857,87698145,87737407,88207468,88618734,88655362,88888378,89389265,89431522,89435887,89837864,90627929,90809789,90856951,91120884,91287778,91750402,92037735,92135482,92338927,92746447,92908951,93070445,93544688,93556087,93610494,94054882,94118551,94278607,94358527,94361460,94938573,95117414,95354362,95632790,95981097,96337700,96497122,96725242,97029178,97032967,97766334,98173584,98262727,98415151,99225058,99323647,99903802,...,50452134519793731233977155727992223609790455391403155325810692635987738166770978905885310452345396378472149973790159573870477560026981655616992906966855223832656673674321748170509466860837620087042627885966352970198904108945368246742473941041846501725406730829611986144781597335406826191965788901539655452288607856134807131124972532421667002675210436939302838849034352571326341387710002541244604696451439453115923404118780180070787787457900320105035201275534255424164104979391955814547646066844516988641554160617477498059862023176590102366460105805019833213901989254908109752496829964426284146618338984583721411266097911079878388139413519485391289509598725346608530024237861132890101712766274511421407614724115969589094637383945996923863594670642677282934158030569611107487880911740112328296464939059539517117835412089242423606473781874982158282466577369901620908409015446692287609020090192048618837254554943422230465355651161760035946769071508444437937842288876461164003324252092411737014082931984836086125244160514954761397337520206985216345089580323687616695593388406638538317520336274346321599370543064325230543668248695482339292689599037474410871982005070437899951963994393751707761637128142039759736865742979983585706262754917720630273021179248029956603410788242249188441186255739860465099789742161647601379356528514627529365576625288333650807507640808944140145279928891773056167807299994195836783444277715527333984475374437076174439073115437087489160177703600529385019137676664989215577904807680427707884779095343130979854815650949744707160103593074851102245249093222602772311997303068256914043379488806112723074679868390390212394569671007645105755303759574321468738374842293746615054582321549005040250220140945321157567062327222829604559033334516300520012882700007139032064233625013893937680208642946620155192451498180378257621198937369389983824714321505100131329500944089681506722533545824490271100106986819121924322743230638963724368319330987243742454552230555072436485798367659092612222133795809701112693421638724689970653174197278506592212990764962975229843690525218370390712879004085483208616657067823565316848480263164805521124689305602274524654435974608849122268513403750103281200001697748770322889595294179614750863919639923311269088176020776419927288765427833856504245297174178806498303212637582238733357990360960988897452817860789787887920006064616510282995874599742346126111948571944936172227089000010882980634944731476421573236832794479289518083152284380161182698894895583963868615912866078300710306215815934318859063121036337292884623234744172065584735652507190754885455981139959022374583164484782360322452891510433296145104734266916229841202745826025608115405384956801219342549317703875279907680958069853587308873060440212379656519290134062148404156259866406272959719743255842577165739402712838378340802743086674789170894273729022867942510200733887958460927022967672435423206170908589011346665242605650765931010841246081981114701419609798386639554458367469481494400571780207191042505504575078983234059987729463199694462676951907597035764936258919413602102976164191723065542405045641032648312927156451213089803220896582888374479164532998934038975768310598205701069518085565271784514544429571455573549493433584502753421579354473152983760286068775611077107141637380379700522626186766875110949815631654429770151707194989619704807259319422952940354637602805010124935557409722677051522347712463141397348167401503276534225788489073408109820554190586291975416211523958265570500855704196899880235562327388175624811582737854749956346794276637426665762565744054754863822065732408423214111378129528158496253253928847517838486094737273950524987099695493804718365549149728055709711953129224263154740743441502803553061274640459451498108498}
23553 150427980248003399375336560102528922964638645593507121062921016856197582476594: {94196,776787,917943,1153411,1294535,1341267,1553442,1647730,1977276,2000135,2306626,2353900,2400162,2824680,2847251,2891607,3012992,3177765,3295180,3389616,3736023,3813318,3954216,4282642,4448493,4707400,5295825,5648880,6025472,6088831,6118060,6354990,6778656,7245123,7247548,7341672,7625988,8259381,8698330,9474127,10353640,10437996,10439255,10599747,11647845,11840735,11994703,12424368,12527106,12550227,12689367,13134823,13523703,13977414,14208882,14773587,15338135,15461026,15605763,16021527,16033138,16518391,16713987,17135290,17295285,17432255,17725786,17958903,18405762,18448304,18925827,19615767,20444983,20546866,20562348,20589625,20754342,20915255,20918706,21418067,22087180,22228162,22305935,23332162,24154323,24291447,24565623,24707550,25047802,25098306,26354720,26469335,26504616,26618883,26767122,27205207,29075667,29237735,29413750,29559226,29649060,29817693,29928935,29997484,30028983,31310255,31625664,31763202,31841026,32067843,33153027,33201727,33331660,33506722,33695043,33965907,34599202,35085282,35183607,35296500,35475311,35578872,35914722,35994327,36129363,36768076,37067842,37345543,37572306,37649600,37747923,38308547,38421303,39766263,39997992,40026231,40253735,40437843,40811624,41624255,41635426,41779203,42181143,42355800,42388588,44187603,44471207,44760323,44997741,45044255,45118591,45179520,45487180,45854467,45913077,46188663,47386707,47650275,48184786,48191488,48304482,48683002,49817135,49949106,50174583,50571987,50826960,50836803,50976407,51820931,51857255,52626466,52819863,52954060,53215535,53894135,54053106,54215424,54496271,54518716,54584616,54658425,54750031,55192407,55323987,56112963,56187538,56507127,56580776,56604562,56604935,56670271,57180330,58081623,58302320,58474707,58634255,59479180,59780562,59914167,59985335,60504703,60860783,60992352,61407693,61462051,61611603,61872387,62228706,62689996,63044727,63544872,63565143,63653373,63858642,64306451,64455130,64672962,65018531,65075266,65185042,65590110,65862623,66161463,66344591,66550083,67346147,67390535,67893992,67925922,68231607,68400322,68616396,68877267,68925682,69396847,69962784,70166787,70361106,70501187,70810647,71075351,71217082,71375016,71487981,71584905,71982402,72096567,72379987,72662951,72808162,73416935,73892823,74084735,74277123,74661207,75172983,75777825,76040482,76357232,76380741,77346156,77418335,77471223,77883880,78162311,78214330,78608131,78708132,79253367,79595107,80296893,80523447,80829680,80863660,80868642,80957530,81543484,81851602,81976687,82055362,84193107,84563986,85220125,85327863,85453827,85901886,86209107,86435290,86704535,86963523,87186751,87619365,87802930,88070696,88093527,88100322,88721938,88901682,89928178,90042887,90416456,90597687,90662735,90933390,91979255,92902002,92937503,93294335,93460656,93857196,93951335,94173676,94510663,94655711,94708563,95264255,95375602,95453187,96692307,96995616,97036392,97149036,97230935,97434627,97568867,97953311,98176083,98423043,98465260,98768707,99079533,99163347,99868327,99902787,...,75678201779690596850965733591988335414685683087104732988716038953981607250156468358827965678518094567708224960685239360805716340040472483425489360450282835748985010511482622255764200291256430130563941828949529455298356163418052370113710911562769752588110096244417979217172396003110239287948683352309483178432911784202210696687458798632500504012815655408954258273551528856989512081565003811866907044677159179673885106178170270106181681186850480157552801913301383136246157469087933721821469100266775482962331240926216247089793034764885153549690158707529749820852983882362164628745244946639426219927508476875582116899146866619817582209120279228086934264398088019912795036356791699335152569149411767132111422086173954383641956075918995385795392005964015924401237045854416661231821367610168492444697408589309275676753118133863635409710672812473237423699866054852431362613523170038431413530135288072928255881832415133345698033476742640053920153607262666656906763433314691746004986378138617605521124397977254129187866240772432142096006280310477824517634370485531425043390082609957807476280504411519482399055814596487845815502373043223508939034398556211616307973007605656849927945991590627561642455692213059639605298614469975378559394132376580945409531768872044934905116182363373782661779383609790697649684613242471402069034792771941294048364937932500476211261461213416210217919893337659584251710949991293755175166416573291000976713061655614261658609673155631233740266555400794077528706514997483823366857211520641561827168643014696469782223476424617060740155389612276653367873639833904158467995954602385371065069233209169084612019802585585318591854506511467658632955639361482203107562263440619922581873482323507560375330211417981736350593490834244406838550001774450780019324050010708548096350437520840906520312964419930232788677247270567386431798406054084975737071482257650196994251416134522260083800318736735406650160480228682886484114845958445586552478996480865613681828345832608654728697551488638918333200693714551669040132458087034955979761295917759888319486147444462844765535787827555586069318506128224812924985601735347975272720394747208281687033958403411786981653961913273683402770105625154921800002546623155484334392941269422126295879459884966903632264031164629890933148141750784756367945761268209747454818956373358100036985541441483346179226791184681831880009096924765424493811899613519189167922857917404258340633500016324470952417097214632359855249191718934277124728426570241774048342343375945802923869299117451065459323723901478288594681554505939326934852116258098377103478760786132328183971709938533561874746727173540483679337265649944217657101400374344761804118739038412173108077435201829013823976555812919861521437104780380963309590660318569484778935201093222606234389799609409439579614883763865748609104069257567511204114630012183756341410593534301913765301100831937691390534451508653134809256362883517019997863908476148896516261869122971672052129414697579959331687551204222241600857670310786563758256862618474851089981594194799541694015427861395553647404388379120403154464246287584598313607568461548972469390734676819634704831344874332561718746799498401058463652465897308551604277128347907676771816644357183360324240150376754130132369031709729475640429103163416615660712456070569550783939280150312666424723447481644655227560792484429557210888979134429410531956404207515187403336114584015577283521568694712096022251102254914801338682733610112164730831285879437963124317285937398355751283556295349820353343491082263437217374106782124934520191414956139998643848616082132295733098598612634821167067194292237744379880893271276757729142105910925787480649543240707077548323724592083564567929693836394732111115162254205329591911960689177247162747}
23554 150961350857303595378866735400511302180207039666061986184316409259866294061768: {117745,141294,400129,541213,612014,1035716,1223924,1788356,2021774,2071256,2330163,2471595,2508829,2636368,2942375,2965914,3200216,3208129,3459939,3530850,3600243,3708734,3766240,3855476,4118975,4237020,4519488,4601329,4942770,4981364,5084424,5272288,5295229,5433793,5719977,5884250,5931324,5987329,6125533,6423963,7061100,7531840,7647575,8189953,8460302,8473320,9038208,9059435,9177090,9532485,9660164,9788896,10167984,10781629,10871322,11012508,11235902,11323933,11438982,12942050,13047495,13170254,13615873,13917328,14132996,14152129,14820829,14954353,15487729,15530460,15620893,15656994,16019953,16142266,16195694,16565824,16702808,16733636,16919156,16948573,17565134,18031604,18636552,18790659,18795229,18930974,18945176,19451329,19476302,19582333,19698116,20627773,20807684,20966121,21278833,21313323,21362036,22187293,22285316,22834033,23006894,23060380,23191539,23945204,24049707,24088334,24541016,24897902,25234436,25702935,26040733,26154356,26549629,26588679,27416464,27608643,27608975,27672456,27891608,28447729,28573693,28926302,29076829,30204673,30820299,30843522,31131513,31378059,31593902,32205764,32388596,32690113,32754164,32813629,32943400,33130770,33342243,33464408,33553213,34998243,35040254,35339488,35491844,35689496,35710171,36885902,37061325,37496855,37571703,37647459,37815793,38724494,38767556,38897629,39532080,39756924,40033454,40038644,40150683,40568893,41280829,41664575,42167552,42350936,42757124,43049329,44120625,44204036,44335933,44338839,44473590,44801629,44926724,44996226,45287876,45491774,45960095,46008302,46076353,46780376,46911476,47062000,47112829,47227633,47297102,47438496,47644803,47686129,47761539,47886296,47992436,48068654,48172484,49508179,49508593,49997490,50096408,50260083,50330564,50975773,51014530,51228404,51648829,51898803,52416302,52627923,52944750,52985735,53021684,53209213,53330656,53368308,53430973,53872083,53917124,54315133,55084993,55152114,55523329,55601763,55705604,55712894,56241524,56358459,56474400,56858975,56974334,58129153,58774129,58916804,59202673,59407243,59996988,60239360,60375229,61217436,61236302,61584884,61854973,61984094,62453139,62979134,63182276,63227534,63533700,63582882,64405976,64467374,65425547,65492593,65703614,66107329,66192575,66598808,66812578,66899444,67227613,67429316,67769280,67782404,68036893,68148395,68165294,68230770,68640829,70039933,70426484,70612574,70725970,70734193,71129329,71523313,71719873,72070808,72112129,72277179,72287232,72456723,72779488,72877900,73024503,73475953,73589876,73765316,74014574,74348975,74441473,74735111,74817284,74923659,75113053,75342836,75487399,76240440,76427294,77061859,77442164,77966276,78231553,78347102,78362495,78418033,78939699,79114399,79431090,79623133,79707416,79885556,80175229,80266993,81079659,81323136,81447134,81778074,81876924,82087153,82148804,82496516,82971608,83878513,84059636,84144733,84233329,84281307,84287102,84726496,84753524,84867490,84871164,84906843,85144856,85466113,85770495,85934174,85990129,86077213,86230616,87340334,87453480,87718129,87803773,88215284,88274894,88733444,89218770,89333053,89670843,90567896,90975476,91488528,91836356,91912129,92321629,92451902,93283712,93343059,93458653,93555716,93814808,94034994,94410946,94414196,94820353,95166688,95317308,95439614,95446540,95787963,95976536,96128756,96582254,96682695,96707329,96785053,96878131,97009443,97354850,97612899,97777563,98385165,98408674,98523764,99007729,99036164,99309902,99384829,99548276,...,100904269039587462467954311455984447219580910782806310651621385271975476333541957811770620904690792756944299947580319147740955120053963311233985813933710447665313347348643496341018933721675240174085255771932705940397808217890736493484947882083693003450813461659223972289563194670813652383931577803079310904577215712269614262249945064843334005350420873878605677698068705142652682775420005082489209392902878906231846808237560360141575574915800640210070402551068510848328209958783911629095292133689033977283108321234954996119724046353180204732920211610039666427803978509816219504993659928852568293236677969167442822532195822159756776278827038970782579019197450693217060048475722265780203425532549022842815229448231939178189274767891993847727189341285354565868316061139222214975761823480224656592929878119079034235670824178484847212947563749964316564933154739803241816818030893384575218040180384097237674509109886844460930711302323520071893538143016888875875684577752922328006648504184823474028165863969672172250488321029909522794675040413970432690179160647375233391186776813277076635040672548692643198741086128650461087336497390964678585379198074948821743964010140875799903927988787503415523274256284079519473731485959967171412525509835441260546042358496059913206821576484498376882372511479720930199579484323295202758713057029255058731153250576667301615015281617888280290559857783546112335614599988391673566888555431054667968950748874152348878146230874174978320355407201058770038275353329978431155809615360855415769558190686261959709631301899489414320207186149702204490498186445205544623994606136513828086758977612225446149359736780780424789139342015290211510607519148642937476749684587493230109164643098010080500440281890642315134124654445659209118066669032601040025765400014278064128467250027787875360417285893240310384902996360756515242397874738779967649428643010200262659001888179363013445067091648980542200213973638243848645486461277927448736638661974487484909104461110144872971596735318185224444267591619402225386843277449379941306348394557013184425981529925950459687381050436740781425758008170966417233314135647130633696960526329611042249378611204549049308871949217698244537026807500206562400003395497540645779190588359229501727839279846622538176352041552839854577530855667713008490594348357612996606425275164477466715980721921977794905635721579575775840012129233020565991749199484692252223897143889872344454178000021765961269889462952843146473665588958579036166304568760322365397789791167927737231825732156601420612431631868637718126242072674585769246469488344131169471305014381509770911962279918044749166328969564720644905783020866592290209468533832459682405491652051216230810769913602438685098635407750559815361916139707174617746120880424759313038580268124296808312519732812545919439486511685154331478805425676756681605486173349578341788547458045735885020401467775916921854045935344870846412341817178022693330485211301531862021682492163962229402839219596773279108916734938962988801143560414382085011009150157966468119975458926399388925353903815194071529872517838827204205952328383446131084810091282065296625854312902426179606441793165776748958329065997868077951536621196411402139036171130543569029088859142911147098986867169005506843158708946305967520572137551222154214283274760759401045252373533750221899631263308859540303414389979239409614518638845905880709275205610020249871114819445354103044695424926282794696334803006553068451576978146816219641108381172583950832423047916531141001711408393799760471124654776351249623165475709499912693588553274853331525131488109509727644131464816846428222756259056316992506507857695035676972189474547901049974199390987609436731098299456111419423906258448526309481486883005607106122549280918902996216996}
23555 151496600303651426326315348824581464319605607601751829358926619636879095255021: {188392,211941,918021,1294645,1529905,1553574,1812349,1835886,2235445,2306822,2589070,2682534,2800189,3032661,3106884,3295460,3364933,3954552,4000270,4448871,4613252,4707800,4800324,4819345,5296275,5563101,5649360,5694502,5783214,6025984,6226705,6355530,6590360,6779232,7414155,7472046,7626636,7908432,8565284,8826375,8896986,9414800,10591650,11297760,11589937,12050944,12075205,12147949,12177662,12236120,12436261,12690453,12709980,13557312,13765635,14490246,14495096,14614957,14683344,15251976,16306983,16377409,16518762,16577029,16853853,17158473,17396660,17666245,18332413,18948254,19413075,19755381,19760977,20707280,20875992,20878510,20917045,21148945,21199494,21473389,22539505,23295690,23485491,23681470,23989406,24213399,24293541,24405157,24622645,24848736,25017949,25054212,25100454,25312261,25378734,26009605,26269646,26347701,26702545,27047406,27856645,27954828,28396461,28417764,28825475,29124733,29214453,29281357,29547174,29931505,30676270,30922052,31211526,31228309,31505437,31543045,31852861,32043054,32066276,32692945,32713549,33036782,33427974,34270580,34510341,34590570,34864510,35451572,35917806,36078001,36132501,36811524,36896608,37057069,37346853,37851654,39231534,39387661,39458113,39648877,40257205,40485745,40889966,40932829,40942705,41093732,41124696,41179250,41508684,41830510,41837412,41900509,42620989,42836134,43389453,43834357,44174360,44364805,44456324,44475013,44611870,45580837,46265283,46664324,47390853,48308646,48459445,48582894,49131246,49415100,49696155,50048305,50095604,50196612,51210997,52556881,52560381,52709440,52938670,53009232,53237766,53446405,53463061,53534244,53717077,54155893,54410414,54430213,55255045,55291837,55328853,56158405,56355229,56609845,57206413,58086741,58151334,58273957,58475470,58639345,58827500,59118452,59298120,59635386,59746093,59857870,59990545,59994968,60050181,60057966,60215605,60907597,61595269,62620510,62913205,63061957,63251328,63526404,63682052,64035505,64135686,64311973,64408909,66277105,66306054,66350269,66403454,66663320,66710385,67013444,67222549,67390086,67396405,67494339,67931814,68237661,69012453,69198404,69632005,69743989,70170564,70301905,70367214,70593000,70945653,70950622,71157744,71829444,71869489,71988654,72102981,72258726,72600157,73536152,73646005,74021137,74135684,74149837,74501749,74691086,74937973,74996235,75144612,75299200,75451789,75495846,75998533,76521795,76617094,76842606,76981105,77674189,78624453,78955837,78977845,79246909,79417125,79437157,79532526,79590901,79735693,79995984,80052462,80507470,80875686,80992549,81623248,82087957,82728171,83248510,83270852,83558406,83569341,83624305,83673949,83979469,84286645,84362286,84711600,84728005,84777176,85461501,86178517,87357877,87509329,87610381,88033105,88170853,88375206,88542949,88942414,89520646,89957149,89995482,90088510,90237182,90359040,90974360,91097375,91708934,91826154,91854453,91987345,92206645,92377326,92976141,93129409,93521605,94178545,94346749,94468701,94773414,94841301,95300550,95374323,95447809,96369572,96382976,96608964,96701061,96802705,97366004,97457845,98555421,99634270,99856945,99898212,...,151356403559381193701931467183976670829371366174209465977432077907963214500312936717655931357036189135416449921370478721611432680080944966850978720900565671497970021022965244511528400582512860261127883657899058910596712326836104740227421823125539505176220192488835958434344792006220478575897366704618966356865823568404421393374917597265001008025631310817908516547103057713979024163130007623733814089354318359347770212356340540212363362373700960315105603826602766272492314938175867443642938200533550965924662481852432494179586069529770307099380317415059499641705967764724329257490489893278852439855016953751164233798293733239635164418240558456173868528796176039825590072713583398670305138298823534264222844172347908767283912151837990771590784011928031848802474091708833322463642735220336984889394817178618551353506236267727270819421345624946474847399732109704862725227046340076862827060270576145856511763664830266691396066953485280107840307214525333313813526866629383492009972756277235211042248795954508258375732481544864284192012560620955649035268740971062850086780165219915614952561008823038964798111629192975691631004746086447017878068797112423232615946015211313699855891983181255123284911384426119279210597228939950757118788264753161890819063537744089869810232364726747565323558767219581395299369226484942804138069585543882588096729875865000952422522922426832420435839786675319168503421899982587510350332833146582001953426123311228523317219346311262467480533110801588155057413029994967646733714423041283123654337286029392939564446952849234121480310779224553306735747279667808316935991909204770742130138466418338169224039605171170637183709013022935317265911278722964406215124526881239845163746964647015120750660422835963472701186981668488813677100003548901560038648100021417096192700875041681813040625928839860465577354494541134772863596812108169951474142964515300393988502832269044520167600637473470813300320960457365772968229691916891173104957992961731227363656691665217309457395102977277836666401387429103338080264916174069911959522591835519776638972294888925689531071575655111172138637012256449625849971203470695950545440789494416563374067916806823573963307923826547366805540211250309843600005093246310968668785882538844252591758919769933807264528062329259781866296283501569512735891522536419494909637912746716200073971082882966692358453582369363663760018193849530848987623799227038378335845715834808516681267000032648941904834194429264719710498383437868554249456853140483548096684686751891605847738598234902130918647447802956577189363109011878653869704232516196754206957521572264656367943419877067123749493454347080967358674531299888435314202800748689523608237478076824346216154870403658027647953111625839723042874209560761926619181320637138969557870402186445212468779599218818879159229767527731497218208138515135022408229260024367512682821187068603827530602201663875382781068903017306269618512725767034039995727816952297793032523738245943344104258829395159918663375102408444483201715340621573127516513725236949702179963188389599083388030855722791107294808776758240806308928492575169196627215136923097944938781469353639269409662689748665123437493598996802116927304931794617103208554256695815353543633288714366720648480300753508260264738063419458951280858206326833231321424912141139101567878560300625332849446894963289310455121584968859114421777958268858821063912808415030374806672229168031154567043137389424192044502204509829602677365467220224329461662571758875926248634571874796711502567112590699640706686982164526874434748213564249869040382829912279997287697232164264591466197197225269642334134388584475488759761786542553515458284211821851574961299086481414155096647449184167129135859387672789464222230324508410659183823921378354494325494}
23556 152033735162204361266459392871448957417486639192752184302912104068493749478885: {164843,235490,282588,400163,447203,800258,1082426,1104923,1224028,1386323,1948259,2071432,2275523,2330361,2447848,2555723,2753829,3254963,3460233,3576712,3673643,3883605,4023801,4043548,4119325,4142512,4648043,4660326,4943190,5017658,5203259,5272736,5341883,5766565,5884750,5931828,6000405,6126059,6400432,6416258,6448283,6919878,7061700,7200486,7417468,7532480,7710952,8053523,8190659,8237950,8327723,8474040,8510363,8541753,8674821,8875259,9011963,9038976,9194123,9202658,9533295,9885540,9962728,10148363,10168848,10544576,10556243,10590458,10706605,10867586,11208069,11439954,11505443,11595659,11768500,11862648,11974658,12251066,12683209,12847926,12945059,13345479,13617059,14064059,14122200,14198003,15063680,15295150,15887475,16379906,16861763,16920604,16946640,17523203,17611259,17919203,18076416,18118870,18266493,18354180,18840683,19059563,19064970,19320328,19453043,19496723,19577792,19889483,20107403,20335968,20803403,21194003,21563258,21735369,21742644,21745825,22025016,22189259,22471804,22647866,22836059,22877964,24423803,24765659,24778143,24893723,25192259,25884100,26094990,26340508,26552003,27102059,27231746,27834656,27861443,28265992,28304258,28422381,28450283,28492283,28576259,28869923,29497883,29641658,29908706,30332363,30975458,30997643,31060920,31205123,31241786,31313988,31317765,31495259,31578083,31702259,31799241,31991723,32039906,32284532,32391388,32734259,32857763,32940059,33131648,33405616,33467272,33838312,33897146,33966059,34170659,34293323,34701683,34943535,35130268,35394059,35516003,35522205,35678483,35984109,36063208,36408059,37014059,37094723,37273104,37581318,37590458,37650681,37861948,37890352,38068101,38220659,38652565,38821259,38902658,38941163,38952604,39164666,39396232,39404469,40082845,40571109,40612259,41255546,41284643,41615368,41932242,42557666,42626646,42700883,42724072,42838225,42857603,42975059,43053323,43092443,43639283,43873163,44145659,44314465,44320761,44340059,44374586,44456603,44570632,44844563,45668066,45772403,46013788,46014405,46120760,46383078,46580483,46817289,47690603,47728763,47805059,47890408,48064581,48099414,48176668,48376259,48642203,49059323,49082032,49555173,49795804,50141961,50342483,50468872,50643059,50755643,51092963,51367165,51405870,51885855,52026563,52081466,52296765,52308712,52495597,53099258,53177358,53362163,53436059,53876709,54357059,54650723,54797363,54832928,55217286,55217950,55344912,55528643,55565123,55570405,55783216,55893083,56002259,56293043,56438243,56777481,56895458,57147386,57198443,57523163,57852604,58062923,58153658,58170659,58330405,58779803,58847301,60203963,60409346,60911243,61017059,61334949,61640598,61687044,61768875,62071259,62263026,62525843,62619505,62745765,62756118,63048683,63187804,64254201,64344133,64411528,64503059,64571963,64777192,64916003,65190659,65293523,65380226,65508328,65627258,65635883,65886800,66147923,66261540,66684486,66917805,66928816,66963443,67106426,67234259,68077259,68647643,68748059,69082259,69349043,69648563,69996486,70080508,70642283,70678976,70741259,70983688,71169323,71378992,71420342,71563259,71727059,71956043,72445403,72462969,72543059,72874341,73534375,73696869,73771804,73898065,74122650,74180029,74737283,74961059,74993710,75024923,75120659,75143406,75294918,75631586,75820523,77321101,77396723,77448988,77535112,77795258,78270659,78426059,78983843,79064160,79354259,79408005,79446683,79513848,79602565,79662059,79754243,79856649,80066908,80077288,80183483,80214083,80275259,80301366,80366963,80580659,80946083,81137786,81615621,82546259,82561658,82636163,82755923,83329150,83352803,83527477,83531243,83766805,83887259,84335104,84701872,85504259,85514248,86028203,86098658,86433923,86498005,86953259,87154523,87227001,87713205,87727403,87755963,87813059,88012643,88241250,88323313,88408072,88671866,88677678,88947180,89453079,89454923,89603258,89786805,89791259,89853448,89992452,90014843,90086949,90210059,90575752,90983548,91097483,91675403,91920190,92016604,92152706,92358803,92413259,92669605,92820659,93307163,93560752,93822952,93930765,94112243,94124000,94225658,94299059,94455266,94594204,94876992,95289606,95306363,95372258,95407753,95523078,95772592,95805683,95984872,96137308,96203529,96344968,96795659,97054259,97183259,97876403,98131643,98208059,98513003,99016358,99017186,99043883,99395843,99459081,99605181,99994980,...,227034605339071790552897200775965006244057049261314198966148116861944821750469405076483897035554283703124674882055718082417149020121417450276468081350848507246955031534447866767292600873769290391691825486848588365895068490254157110341132734688309257764330288733253937651517188009330717863846050056928449535298735352606632090062376395897501512038446966226862774820654586570968536244695011435600721134031477539021655318534510810318545043560551440472658405739904149408738472407263801165464407300800326448886993722778648741269379104294655460649070476122589249462558951647086493886235734839918278659782525430626746350697440599859452746627360837684260802793194264059738385109070375098005457707448235301396334266258521863150925868227756986157386176017892047773203711137563249983695464102830505477334092225767927827030259354401590906229132018437419712271099598164557294087840569510115294240590405864218784767645497245400037094100430227920161760460821787999970720290299944075238014959134415852816563373193931762387563598722317296426288018840931433473552903111456594275130170247829873422428841513234558447197167443789463537446507119129670526817103195668634848923919022816970549783837974771882684927367076639178918815895843409926135678182397129742836228595306616134804715348547090121347985338150829372092949053839727414206207104378315823882145094813797501428633784383640248630653759680012978752755132849973881265525499249719873002930139184966842784975829019466893701220799666202382232586119544992451470100571634561924685481505929044089409346670429273851182220466168836829960103620919501712475403987863807156113195207699627507253836059407756755955775563519534402975898866918084446609322686790321859767745620446970522681125990634253945209051780472502733220515650005323352340057972150032125644289051312562522719560938893259790698366031741811702159295395218162254927211214446772950590982754248403566780251400956210206219950481440686048659452344537875336759657436989442596841045485037497825964186092654465916754999602081143655007120397374261104867939283887753279664958458442333388534296607363482666758207955518384674438774956805206043925818161184241624845061101875210235360944961885739821050208310316875464765400007639869466453003178823808266378887638379654900710896792093493889672799444425252354269103837283804629242364456869120074300110956624324450038537680373554045495640027290774296273481435698840557567503768573752212775021900500048973412857251291643897079565747575156802831374185279710725322145027030127837408771607897352353196377971171704434865784044663517817980804556348774295131310436282358396984551915129815600685624240181520621451038011796949832652971304201123034285412356217115236519324232305605487041471929667438759584564311314341142889928771980955708454336805603279667818703169398828228318738844651291597245827312207772702533612343890036551269024231780602905741295903302495813074171603354525959404427769088650551059993591725428446689548785607368915016156388244092739877995062653612666724802573010932359691274770587855424553269944782584398625082046283584186660942213165137361209463392738862753794940822705384646917408172204030458904114494034622997685156240398495203175390957397691925654812831385043723030315449933071550080972720451130262390397107095129188426921287309490249846982137368211708652351817840450937999274170342444933965682682377453288671632666937403288231595869212622545562210008343752046731850564706084136288066753306764744404016048200830336494192493857638313889372951857812195067253850668886049461060030473246790311652122320346374803560574244868419995931545848246396887199295795837904463501201582876713233139642679813830273187426317732777362441948629722121232644971173776250693703789081509184196333345486762615988775735882067531741488241}
23557 152572762030979948983233266983914278233626485084514209902013602828757360702735: {23557,353235,376784,423882,1200387,1530035,1623639,1812503,1836042,2141867,2589290,3059810,3107148,3129623,3624698,3671772,3976739,4470890,4613644,5054435,5178140,5365068,5600378,6065322,6213768,6590920,6729866,6747083,6990489,7414785,7526487,7909104,8000540,8717387,8827125,8897742,9226504,9271835,9415600,9568163,9600648,9624387,9638690,10379817,10592550,10800729,11126202,11298720,11389004,11566428,12051968,12356925,12389243,12453410,12711060,12953459,13180720,13558464,13803987,14356667,14710625,14828310,14944092,15253272,15816864,15885687,16301379,16905287,17130568,17159931,17176307,17652750,17793972,17961987,18304163,18376599,18829600,18848819,19271889,19995947,21123803,21150755,21183300,21665579,22595520,22942725,23179874,24101888,24150410,24295898,24355324,24472240,24569859,24732743,24872522,25380906,25419960,26735747,27114624,27178305,27531270,28089755,28597455,28980492,28990192,29229914,29283863,29366688,29566667,29608523,30503952,31555307,32344887,32355125,32613966,32754818,32925635,32932619,33037524,33154058,33707706,33971799,34316946,34420139,34471703,34793320,35211959,35332490,36413447,36664826,37383563,37896508,38566139,38661467,38826150,38999303,39142485,39510762,39521954,40355665,40489235,40819547,40847619,41382899,41414560,41751984,41757020,41834090,41904107,42297890,42398988,42456387,42946778,43417643,43912835,44160263,44462487,44863059,45079010,45770123,46463187,46591380,46862679,46970982,47327435,47362940,47635223,47978812,48059859,48426798,48587082,48690755,48724343,48810314,49245290,49697472,50035898,50108424,50200908,50624522,50757468,50845719,52019210,52539292,52561379,52695402,52946963,53405090,54094812,55508039,55713290,55909656,56360087,56371977,56385687,56680043,56792922,56835528,57319787,57421703,57517235,57650950,58249466,58353987,58428906,58562714,58746999,59094348,59863010,60220835,61352540,61796759,61844104,61883319,62110727,62244755,62423052,62456618,62898363,63010874,63086090,63330347,63705722,63836499,63939969,64002419,64086108,64132552,65385890,65427098,65911403,66073564,66561879,66855948,67550807,67607579,67843223,68502099,68541160,69020682,69181140,69574617,69729020,70067627,70609019,70900643,70903144,71835612,72149121,72156002,72265002,72315755,73623048,73793216,74114138,74156183,74693706,74824967,75703308,76005059,77108805,77158283,77357063,78122199,78463068,78621767,78775322,78916226,78984755,79126043,79253783,79297754,79648887,79766037,80324723,80514410,80971490,81779932,81865658,81885410,82095083,82187464,82249392,82358500,82825929,82826925,83017368,83625239,83661020,83674824,83801018,83986763,84301847,85241978,85343187,85672268,85721079,86035763,86778906,86999303,87230487,87600635,87617879,87668714,88078487,88244759,88348720,88563059,88729610,88912648,88950026,89053283,89223740,89242187,89649707,90614019,90654539,90749723,91161674,92121863,92214755,92460897,92530566,92622743,92787947,93328648,93394539,93517943,94134177,94354967,94781706,95078819,95718467,96583223,96617292,96811235,96918890,97165788,97484807,97672307,98070339,98262492,98422667,98440887,98830200,99392310,...,302712807118762387403862934367953341658742732348418931954864155815926429000625873435311862714072378270832899842740957443222865360161889933701957441801131342995940042045930489023056801165025720522255767315798117821193424653672209480454843646251079010352440384977671916868689584012440957151794733409237932713731647136808842786749835194530002016051262621635817033094206115427958048326260015247467628178708636718695540424712681080424726724747401920630211207653205532544984629876351734887285876401067101931849324963704864988359172139059540614198760634830118999283411935529448658514980979786557704879710033907502328467596587466479270328836481116912347737057592352079651180145427166797340610276597647068528445688344695817534567824303675981543181568023856063697604948183417666644927285470440673969778789634357237102707012472535454541638842691249892949694799464219409725450454092680153725654120541152291713023527329660533382792133906970560215680614429050666627627053733258766984019945512554470422084497591909016516751464963089728568384025121241911298070537481942125700173560330439831229905122017646077929596223258385951383262009492172894035756137594224846465231892030422627399711783966362510246569822768852238558421194457879901514237576529506323781638127075488179739620464729453495130647117534439162790598738452969885608276139171087765176193459751730001904845045844853664840871679573350638337006843799965175020700665666293164003906852246622457046634438692622524934961066221603176310114826059989935293467428846082566247308674572058785879128893905698468242960621558449106613471494559335616633871983818409541484260276932836676338448079210342341274367418026045870634531822557445928812430249053762479690327493929294030241501320845671926945402373963336977627354200007097803120077296200042834192385401750083363626081251857679720931154708989082269545727193624216339902948285929030600787977005664538089040335201274946941626600641920914731545936459383833782346209915985923462454727313383330434618914790205954555673332802774858206676160529832348139823919045183671039553277944589777851379062143151310222344277274024512899251699942406941391901090881578988833126748135833613647147926615847653094733611080422500619687200010186492621937337571765077688505183517839539867614529056124658519563732592567003139025471783045072838989819275825493432400147942165765933384716907164738727327520036387699061697975247598454076756671691431669617033362534000065297883809668388858529439420996766875737108498913706280967096193369373503783211695477196469804261837294895605913154378726218023757307739408465032393508413915043144529312735886839754134247498986908694161934717349062599776870628405601497379047216474956153648692432309740807316055295906223251679446085748419121523853238362641274277939115740804372890424937559198437637758318459535055462994436416277030270044816458520048735025365642374137207655061204403327750765562137806034612539237025451534068079991455633904595586065047476491886688208517658790319837326750204816888966403430681243146255033027450473899404359926376779198166776061711445582214589617553516481612617856985150338393254430273846195889877562938707278538819325379497330246874987197993604233854609863589234206417108513391630707087266577428733441296960601507016520529476126838917902561716412653666462642849824282278203135757120601250665698893789926578620910243169937718228843555916537717642127825616830060749613344458336062309134086274778848384089004409019659205354730934440448658923325143517751852497269143749593423005134225181399281413373964329053748869496427128499738080765659824559994575394464328529182932394394450539284668268777168950977519523573085107030916568423643703149922598172962828310193294898368334258271718775345578928444460649016821318367647842756708988650988}
23558 153113687530934776969461902513232742665431783025374068673580193571115800572216: {329686,447241,470980,565176,635823,800326,894406,1433317,1600516,2164852,2209846,2448056,2754063,2772646,2975737,3883935,3896518,4142864,4551046,4589715,4660722,4895696,5111446,5437047,5507658,5767055,6472675,6509926,6706335,6920466,7138057,7153424,7347286,7688137,7767210,8047602,8073191,8087096,8099941,8238650,8285024,8400567,9097983,9296086,9320652,9886380,10000675,10035316,10094799,10406518,10545472,10683766,11235577,11506441,11533130,11769500,11863656,12000810,12252118,12452197,12587017,12800864,12832516,12896566,13346613,13839756,14123400,14236255,14400972,14458035,14834936,14989247,15064960,15421904,15888825,16107046,16381318,16475900,16655446,16689303,16948080,17020726,17083506,17128057,17349642,17750518,18023926,18077952,18388246,18405316,18680115,19066590,19498441,19771080,19925456,20296726,20337696,20544457,20805241,21089152,21112486,21180916,21195877,21413210,21735172,22242465,22363897,22416138,22751941,22879908,23010886,23191318,23537000,23725296,23949316,24502132,25066597,25366418,25695852,25890118,26479125,26690958,27234118,28128118,28244400,28396006,28494841,30127360,30444155,30590300,31000441,31622341,31774950,31994617,32759812,33723337,33723526,33841208,33893280,34459897,34769811,35046406,35071717,35222518,35559877,35838406,36152832,36225615,36237740,36443847,36532986,36708360,37138441,37308783,37681366,37983397,38071359,38119126,38129940,38344441,38640656,38906086,38993446,39155584,39184357,39778966,39782137,40214806,40671936,41296905,41606806,42388006,43096441,43126516,43470738,43485288,43491650,43682341,43844871,44050032,44378518,44943608,45295732,45672118,45755928,46238917,46584841,47370635,47733241,48532837,48847606,48920949,49101817,49132227,49531318,49556286,49731087,49782217,49787446,50234377,50384518,50561559,50572741,51471877,51475419,51768200,52189980,52196275,52681016,52998735,53104006,53367241,53699557,54113591,54204118,54463492,54997239,55570441,55669312,55722886,55789177,56115983,56531984,56608516,56844762,56900566,56984566,57152518,57203941,57739846,58239225,58995766,59035657,59203675,59266143,59282931,59283316,59817412,59973515,60209797,60664726,61950916,61995286,62040251,62121840,62322277,62410246,62483572,62531941,62627976,62635530,62751135,62990518,63054841,63156166,63404518,63446835,63598482,63983446,64079812,64420167,64569064,64612741,64782776,65436997,65468518,65674115,65715526,65880118,66263296,66358777,66811232,66934544,67618515,67676624,67794292,67932118,68341318,68586646,69403366,69489157,69688741,69887070,70260536,70385017,70456473,70682341,70788118,70979017,71032006,71044410,71356966,71914031,71968218,72126416,72354937,72640197,72816118,72880623,73215471,73329097,73426117,73867935,74028118,74103241,74189446,74546208,75053847,75162636,75180916,75301362,75723896,75780704,75936783,76136202,76303237,76441318,76690675,77305130,77642518,77798567,77805316,77882326,77905208,78028815,78329332,78651337,78792464,78808938,79022857,79043103,79115557,79946617,80107635,80165690,80222341,80954437,81142218,81224518,81662567,82511092,82569286,82591955,83212537,83230736,83391241,83569935,83864484,85115332,85189383,85253292,85401766,85448144,85676450,85715206,85862857,85950118,86106646,86184886,86471941,86476425,87161275,87278566,87374199,87643359,87667307,87746326,87765241,87844071,88291318,88628930,88641522,88680118,88749172,88913206,89141264,89689126,89794515,90052357,91336132,91379483,91544806,92027576,92028810,92241520,92766156,93160966,93354239,93634578,93684927,93828037,94149157,94229257,94389241,94516311,94629135,95184841,95381206,95457526,95558583,95610118,95780816,96129162,96198828,96353336,96752518,97284406,97374217,98078835,98118646,98140647,98164064,98447737,98523877,98714291,99110346,99591608,...,454069210678143581105794401551930012488114098522628397932296233723889643500938810152967794071108567406249349764111436164834298040242834900552936162701697014493910063068895733534585201747538580783383650973697176731790136980508314220682265469376618515528660577466507875303034376018661435727692100113856899070597470705213264180124752791795003024076893932453725549641309173141937072489390022871201442268062955078043310637069021620637090087121102880945316811479808298817476944814527602330928814601600652897773987445557297482538758208589310921298140952245178498925117903294172987772471469679836557319565050861253492701394881199718905493254721675368521605586388528119476770218140750196010915414896470602792668532517043726301851736455513972314772352035784095546407422275126499967390928205661010954668184451535855654060518708803181812458264036874839424542199196329114588175681139020230588481180811728437569535290994490800074188200860455840323520921643575999941440580599888150476029918268831705633126746387863524775127197444634592852576037681862866947105806222913188550260340495659746844857683026469116894394334887578927074893014238259341053634206391337269697847838045633941099567675949543765369854734153278357837631791686819852271356364794259485672457190613232269609430697094180242695970676301658744185898107679454828412414208756631647764290189627595002857267568767280497261307519360025957505510265699947762531050998499439746005860278369933685569951658038933787402441599332404764465172239089984902940201143269123849370963011858088178818693340858547702364440932337673659920207241839003424950807975727614312226390415399255014507672118815513511911551127039068805951797733836168893218645373580643719535491240893941045362251981268507890418103560945005466441031300010646704680115944300064251288578102625125045439121877786519581396732063483623404318590790436324509854422428893545901181965508496807133560502801912420412439900962881372097318904689075750673519314873978885193682090970074995651928372185308931833509999204162287310014240794748522209735878567775506559329916916884666777068593214726965333516415911036769348877549913610412087851636322368483249690122203750420470721889923771479642100416620633750929530800015279738932906006357647616532757775276759309801421793584186987779345598888850504708538207674567609258484728913738240148600221913248648900077075360747108090991280054581548592546962871397681115135007537147504425550043801000097946825714502583287794159131495150313605662748370559421450644290054060255674817543215794704706392755942343408869731568089327035635961609112697548590262620872564716793969103830259631201371248480363041242902076023593899665305942608402246068570824712434230473038648464611210974082943859334877519169128622628682285779857543961911416908673611206559335637406338797656456637477689302583194491654624415545405067224687780073102538048463561205811482591806604991626148343206709051918808855538177301102119987183450856893379097571214737830032312776488185479755990125307225333449605146021864719382549541175710849106539889565168797250164092567168373321884426330274722418926785477725507589881645410769293834816344408060917808228988069245995370312480796990406350781914795383851309625662770087446060630899866143100161945440902260524780794214190258376853842574618980499693964274736423417304703635680901875998548340684889867931365364754906577343265333874806576463191738425245091124420016687504093463701129412168272576133506613529488808032096401660672988384987715276627778745903715624390134507701337772098922120060946493580623304244640692749607121148489736839991863091696492793774398591591675808927002403165753426466279285359627660546374852635465554724883897259444242465289942347552501387407578163018368392666690973525231977551471764135063482976482}
23559 153656518306043701341858922560208190987555923292417530523508498941421369323201: {47114,494529,588725,706470,753568,847764,1200489,1341609,2000645,2142049,2400774,2706065,2847977,3060070,3247278,3314769,3625006,3672084,4158969,4283734,4400297,5178580,5844777,6119620,6214296,6259246,6826569,6991083,7076209,7249396,7343544,7667169,7953478,8261487,8941780,9227288,9764889,10108870,10356280,10380699,10730136,11020929,11200756,11307829,11650815,12071403,12130644,12357975,12427536,12544145,12980569,13181840,13459732,13494166,13846801,13944129,13980978,14711875,14829570,15052974,15609777,15818208,16001080,16025649,16040645,17299695,17434774,17654250,17795484,18001215,18378177,18453008,18543670,18831200,19136326,19197049,19201296,19248774,19277380,19344849,20594875,20759634,21185100,21601458,22252404,22275877,22580617,22597440,22778008,22966361,23006645,23132856,24103936,24160569,24571977,24713850,24778486,24906820,24983169,25422120,25531089,25625259,25906918,26024463,26049617,26361440,26476145,26625777,27035889,27116928,27168965,27582369,27607974,28599885,28713334,29421250,29611057,29656620,29881129,29888184,29936645,30445089,30506544,30627665,31633728,31668729,31771374,32119815,32602758,33100649,33624207,33743897,33810574,34261136,34319862,34352614,34516329,34786977,35305500,35587944,35923974,36608326,36753198,37659200,37697638,38049627,38237875,38350961,38543778,38835177,39325657,39991894,40036437,40851177,40949765,42192177,42247606,42301510,42366600,42594009,43331158,43401577,45191040,45297175,45885450,46013561,46095889,46359748,47662425,47996009,48203776,48300820,48302081,48525601,48591796,48710648,48944480,49073057,49139718,49465486,49745044,50585289,50761812,50839920,52569609,52833777,53471494,53757609,53908145,54229248,54356610,54799479,55062540,56179510,56436929,56497931,56522049,56619665,56684929,56747321,57178689,57194910,57960984,57980384,58232537,58359129,58436369,58459828,58490169,58567726,58733376,59133334,59217046,59668449,60322209,61007904,61477969,62410209,63110614,63582009,64323017,64689774,64710250,65206107,65227932,65237475,65509636,65843657,65851270,65865238,66075048,66258409,66308116,66567777,67415412,67943598,68079365,68167057,68254217,68508177,68633892,68728229,68840278,68882561,68943406,69586640,70423918,70457017,70664980,70760645,72826894,73271409,73318769,73329652,73730249,74104145,74296977,74334429,74681169,74767126,74771765,75576777,75793016,76737509,77132278,77322934,77438645,77652300,77998606,78104465,78284970,79021524,79043908,79656009,80099765,80524129,80711330,80978470,81306177,81639094,81695238,82765798,82829120,83503968,83514040,83584329,83668180,83791669,83808214,84309169,84595780,84742865,84797976,84912774,85267143,85350849,85476849,85728777,85893556,86609769,86835286,87142657,87825670,88320526,88493649,88558217,88892801,88924974,89726118,89760329,90158020,90997089,91540246,91573361,92926374,92992929,93182760,93615369,93725358,93941964,93953295,93976145,94485777,94654870,94725880,94734249,95106777,95270446,95397723,95762497,95957624,95975169,96119718,96160769,96853596,96969797,97174164,97256645,97381510,97448686,97620628,97911665,98202777,98490580,98573289,98820177,99097361,99382697,99394944,...,681103816017215371658691602327895018732171147783942596898444350585834465251408215229451691106662851109374024646167154247251447060364252350829404244052545521740865094603343600301877802621307871175075476460545765097685205470762471331023398204064927773292990866199761812954551564027992153591538150170785348605896206057819896270187129187692504536115340898680588324461963759712905608734085034306802163402094432617064965955603532430955635130681654321417975217219712448226215417221791403496393221902400979346660981168335946223808137312883966381947211428367767748387676854941259481658707204519754835979347576291880239052092321799578358239882082513052782408379582792179215155327211125294016373122344705904189002798775565589452777604683270958472158528053676143319611133412689749951086392308491516432002276677303783481090778063204772718687396055312259136813298794493671882263521708530345882721771217592656354302936491736200111282301290683760485281382465363999912160870899832225714044877403247558449690119581795287162690796166951889278864056522794300420658709334369782825390510743489620267286524539703675341591502331368390612339521357389011580451309587005904546771757068450911649351513924315648054782101229917536756447687530229778407034547191389228508685785919848404414146045641270364043956014452488116278847161519182242618621313134947471646435284441392504285901353150920745891961279040038936258265398549921643796576497749159619008790417554900528354927487058400681103662398998607146697758358634977354410301714903685774056444517787132268228040011287821553546661398506510489880310862758505137426211963591421468339585623098882521761508178223270267867326690558603208927696600754253339827968060370965579303236861340911568043377971902761835627155341417508199661546950015970057020173916450096376932867153937687568158682816679779372095098095225435106477886185654486764781633643340318851772948262745210700340754202868630618659851444322058145978357033613626010278972310968327790523136455112493477892558277963397750264998806243430965021361192122783314603817851663259838994875375327000165602889822090448000274623866555154023316324870415618131777454483552724874535183305625630706082834885657219463150624930950626394296200022919608399359009536471424799136662915138964702132690376280481669018398333275757062807311511851413887727093370607360222900332869872973350115613041120662136486920081872322888820444307096521672702511305721256638325065701500146920238571753874931691238697242725470408494122555839132175966435081090383512226314823692057059589133913515113304597352133990553453942413669046322885393931308847075190953655745389446802056872720544561864353114035390849497958913912603369102856237068651345709557972696916816461124415789002316278753692933943023428669786315942867125363010416809839003456109508196484684956216533953874791737481936623318107600837031670109653807072695341808717223887709907487439222514810063577878213283307265951653179980775176285340068646356822106745048469164732278219633985187960838000174407719032797079073824311763566273659809834347753195875246138850752559982826639495412083628390178216588261384822468116153940752224516612091376712343482103868993055468721195485609526172872193075776964438494155131169090946349799214650242918161353390787171191321285387565280763861928470749540946412104635125957055453521352813997822511027334801897048047132359866014898000812209864694787607637867636686630025031256140195551694118252408864200259920294233212048144602491009482577481572914941668118855573436585201761552006658148383180091419740370934956366961039124410681722734605259987794637544739190661597887387513713390503604748630139699418928039441490819562278953198332087325845889166363697934913521328752081111367244527552589000036460287847966327207646202595224464723}
23560 154201261023379348620916697785294577703307810558007944926478337091154332358586: {70671,259039,541351,659372,682399,894482,941960,1059705,1130352,1271646,1600652,1788812,2369359,2649511,2866634,3201032,3601161,4329704,4419692,4463479,4590105,4870917,4896112,5296591,5435191,5437509,5508126,5545292,5573719,5951474,6127111,6265279,6425601,6473225,6541399,7649525,7767870,7793036,8073877,8285728,8329159,9061745,9102092,9179430,9286759,9321444,9388869,9791392,10222892,10240831,10648639,10874094,11015316,11055799,11177225,11534110,11597671,11930217,12003319,12812671,12945350,13019852,13412670,13485151,13753639,13840932,14000945,14155831,14276114,14306848,14694572,14958271,15091759,15163305,15376274,15534420,15624991,16024159,16095204,16146382,16174192,16199882,16477300,16570048,16801134,16824665,16953031,17614351,18195966,18405559,18592172,18641304,18668719,19062919,19587511,19772760,19930757,19980199,20001350,20070632,20189598,20241249,20813036,20971467,21090944,21284479,21367532,21414511,22244355,22471154,22579461,22969279,23012882,23066260,23539000,23614039,23727312,24001620,24096725,24504236,24513679,24904394,25174034,25601728,25665032,25792759,25793132,26047711,26152161,26481375,26683831,26693226,27191431,27679512,27815505,28246800,28455391,28472510,28581391,28704489,28707319,28801944,28873161,28916070,28958959,29669872,29978494,30129920,30337831,30843808,31133525,31139451,31583791,31777650,32080159,32214092,32402187,32698999,32762636,32822551,32946031,32951800,33310892,33378606,33562351,33896160,34041452,34167012,34256114,34699284,34789591,35501036,36047852,36155904,36495631,36776492,36810632,37070775,37101511,37167729,37343359,37360230,37584919,38133180,38860377,38908351,38996882,39542160,39626551,39850912,40103911,40593452,40675392,40698991,41088914,41410711,41411961,41610482,42119839,42178304,42224972,42361832,42391754,42591151,42621817,42826420,43061311,43070001,43178671,43470344,43881319,44131875,44464879,44484930,44727794,44832276,45503882,45759816,45858079,46021772,46089271,46382636,47074000,47240911,47450592,47657061,47699551,47814031,47898632,48904137,49004264,49522591,49635919,50133194,50427199,50715861,50732836,50990239,51102631,51391704,51479793,51528921,51780236,51887359,52958250,53381916,53446231,53557039,53885961,54109999,54468236,54881119,54912489,55129797,55539271,55648711,56085751,56256236,56488800,56521639,56546457,56792012,56989682,57281671,57815667,57930319,57949685,58145959,58898431,59540599,59860711,59987841,60254720,60376025,60739745,60888310,61180600,61873039,62000882,62181305,63130591,63244682,63371409,63452265,63549900,63755479,63989234,64584631,64996737,64997479,65203471,65519624,66318889,66841039,67348999,67446674,67447052,67682416,67786560,67855159,68761711,68828175,68919794,69539622,70092812,70143434,70445036,70854319,71119754,71544799,71676812,72231751,72305664,72451230,72475480,72887694,73012519,73065972,73074785,73416720,73709577,73788679,74198229,74276882,74560231,74617566,75040111,75362732,75422719,75613591,75899359,75966794,76089511,76142718,76238252,76259880,76688882,77281312,77812172,77986892,78068719,78255559,78311168,78348871,78368714,78535279,79557932,79564274,79647679,80199991,80207241,80291791,80383519,80429612,80658271,81343872,81534915,81887045,81931879,82202959,82383319,82493081,82593810,82885145,83213612,83548639,83962921,84259711,84269265,84613519,84776012,85492999,85792365,86104351,86192882,86253032,86452111,86941476,86970576,86983300,87364682,87689742,87831631,87851589,87917239,88100064,88331225,88514479,88700001,88757036,88825569,88938919,89866351,89887216,90285031,90591464,91282519,91344236,91511856,91662065,91943761,92023831,92351431,92433151,92477834,93084319,93169682,93327319,94132639,94665921,94741270,94771711,95327119,95466482,95878999,96427351,96816871,96894559,97034661,97065375,97065674,97695212,97841898,98203634,98264454,98280631,98585479,98776905,98797857,98804885,98964919,99062636,99112572,99116191,99342559,99462174,99564434,99568279,99574892,...,908138421356287162211588803103860024976228197045256795864592467447779287001877620305935588142217134812498699528222872329668596080485669801105872325403394028987820126137791467069170403495077161566767301947394353463580273961016628441364530938753237031057321154933015750606068752037322871455384200227713798141194941410426528360249505583590006048153787864907451099282618346283874144978780045742402884536125910156086621274138043241274180174242205761890633622959616597634953889629055204661857629203201305795547974891114594965077516417178621842596281904490356997850235806588345975544942939359673114639130101722506985402789762399437810986509443350737043211172777056238953540436281500392021830829792941205585337065034087452603703472911027944629544704071568191092814844550252999934781856411322021909336368903071711308121037417606363624916528073749678849084398392658229176351362278040461176962361623456875139070581988981600148376401720911680647041843287151999882881161199776300952059836537663411266253492775727049550254394889269185705152075363725733894211612445826377100520680991319493689715366052938233788788669775157854149786028476518682107268412782674539395695676091267882199135351899087530739709468306556715675263583373639704542712729588518971344914381226464539218861394188360485391941352603317488371796215358909656824828417513263295528580379255190005714535137534560994522615038720051915011020531399895525062101996998879492011720556739867371139903316077867574804883198664809528930344478179969805880402286538247698741926023716176357637386681717095404728881864675347319840414483678006849901615951455228624452780830798510029015344237631027023823102254078137611903595467672337786437290747161287439070982481787882090724503962537015780836207121890010932882062600021293409360231888600128502577156205250250090878243755573039162793464126967246808637181580872649019708844857787091802363931016993614267121005603824840824879801925762744194637809378151501347038629747957770387364181940149991303856744370617863667019998408324574620028481589497044419471757135551013118659833833769333554137186429453930667032831822073538697755099827220824175703272644736966499380244407500840941443779847542959284200833241267501859061600030559477865812012715295233065515550553518619602843587168373975558691197777701009417076415349135218516969457827476480297200443826497297800154150721494216181982560109163097185093925742795362230270015074295008851100087602000195893651429005166575588318262990300627211325496741118842901288580108120511349635086431589409412785511884686817739463136178654071271923218225395097180525241745129433587938207660519262402742496960726082485804152047187799330611885216804492137141649424868460946077296929222421948165887718669755038338257245257364571559715087923822833817347222413118671274812677595312913274955378605166388983309248831090810134449375560146205076096927122411622965183613209983252296686413418103837617711076354602204239974366901713786758195142429475660064625552976370959511980250614450666899210292043729438765099082351421698213079779130337594500328185134336746643768852660549444837853570955451015179763290821538587669632688816121835616457976138491990740624961593980812701563829590767702619251325540174892121261799732286200323890881804521049561588428380516753707685149237960999387928549472846834609407271361803751997096681369779735862730729509813154686530667749613152926383476850490182248840033375008186927402258824336545152267013227058977616064192803321345976769975430553255557491807431248780269015402675544197844240121892987161246608489281385499214242296979473679983726183392985587548797183183351617854004806331506852932558570719255321092749705270931109449767794518888484930579884695105002774815156326036736785333381947050463955102943528270126965952964}
23561 154747922373191890302443136886067010813309065286839225948861400858102894292794: {23561,94228,824215,989058,1177450,1341723,1412940,1507136,1695528,1907469,2000815,2236015,2400978,2683218,2800903,2848219,3365791,3788491,4001290,4284098,4299951,4801548,4917979,5200351,5412130,5524615,5695954,6120140,6494556,6629538,6931615,7250012,7344168,8262189,8317938,8567468,8800594,8927211,9741295,10357160,10602559,11377615,11651805,11689554,12239240,12428592,12518492,12778615,13653138,13698751,13769145,13982166,14152418,14498792,14687088,15334338,15680503,15906956,16274815,16311141,16522974,17301165,17561803,17883560,18368215,18454576,18774103,19418025,19529778,20119005,20217740,20596625,20712560,20761398,21414171,21460272,22041858,22157671,22401512,22456903,22615658,23064411,23240215,23301630,24142806,24219573,24261288,24299823,24715950,24855072,25088290,25201701,25961138,26016295,26363680,26565451,26709415,26919464,26988332,27142063,27293949,27693602,27888258,27961956,28331911,28832825,29423750,29659140,30002025,30105948,30284397,30630295,30785911,31219554,31636416,32002160,32051298,32081290,32209303,32241415,33706731,34519323,34599390,34869548,35308500,35590968,36002430,36756354,36906016,36994843,37066603,37087340,37356591,37662400,37761051,38036551,38272652,38394098,38402592,38497548,38554760,38664103,38689698,38865739,39879151,40039839,40162303,40267615,40953295,41189750,41519268,41638615,41911303,42370200,42551815,42625003,42708765,42878731,43202916,43374105,44376295,44504808,44551754,44967741,45010951,45059815,45161234,45194880,45232471,45323863,45556016,45932722,45970615,46013290,46017499,46265712,46527679,47666475,48207872,48321138,49143954,49427700,49556972,49586911,49662703,49813640,49966338,50067909,50557303,50741815,50844240,51062178,51250518,51384171,51633259,51813836,52048926,52099234,52722880,52781215,52952290,53251554,53533025,54071778,54169819,54233856,54337930,54379663,55164738,55215948,56040345,57199770,57221131,57329671,57426668,57527215,57663691,57978295,57995431,58495323,58670959,58745599,58842500,59222114,59313240,59515483,59762258,59776368,59873290,60329131,60890178,61013088,61255330,61284619,61633371,62415723,63267456,63337458,63416045,63542748,63587631,64239630,64725295,65205516,65849311,66201298,66727395,67091691,67248414,67487794,67621148,68085295,68255823,68522272,68629399,68639724,68705228,68734111,68820271,69032658,69394699,69573954,70176871,70320295,70611000,70990015,71175888,71583691,71847948,71924479,73216652,73506396,73834603,74806603,75199791,75318400,75395276,75471403,75804151,76018111,76099254,76475750,76701922,76813903,77087556,77670354,77815231,78651314,79267531,79437375,79983788,80072874,81406663,81702354,81899530,82029751,83695471,84308815,84384354,84495212,84603020,84733200,85188018,85484523,85499719,86662316,86803154,87616015,88056295,88409911,88565851,89068639,89596015,89768011,90073951,90382080,90594350,91332465,91404331,91770900,92027122,92191778,92334871,92707903,92719496,93001323,94203415,94867023,95023339,95297815,95311111,95324850,95983851,95992018,96407552,96601640,96604162,97051202,97183592,97235191,97265215,97421296,97483615,97602571,97888960,98146114,98152459,98279436,98889991,98930972,99064903,99391231,99447415,99490088,...,1362207632034430743317383204655790037464342295567885193796888701171668930502816430458903382213325702218748049292334308494502894120728504701658808488105091043481730189206687200603755605242615742350150952921091530195370410941524942662046796408129855546585981732399523625909103128055984307183076300341570697211792412115639792540374258375385009072230681797361176648923927519425811217468170068613604326804188865234129931911207064861911270261363308642835950434439424896452430834443582806992786443804801958693321962336671892447616274625767932763894422856735535496775353709882518963317414409039509671958695152583760478104184643599156716479764165026105564816759165584358430310654422250588032746244689411808378005597551131178905555209366541916944317056107352286639222266825379499902172784616983032864004553354607566962181556126409545437374792110624518273626597588987343764527043417060691765443542435185312708605872983472400222564602581367520970562764930727999824321741799664451428089754806495116899380239163590574325381592333903778557728113045588600841317418668739565650781021486979240534573049079407350683183004662736781224679042714778023160902619174011809093543514136901823298703027848631296109564202459835073512895375060459556814069094382778457017371571839696808828292091282540728087912028904976232557694323038364485237242626269894943292870568882785008571802706301841491783922558080077872516530797099843287593152995498319238017580835109801056709854974116801362207324797997214293395516717269954708820603429807371548112889035574264536456080022575643107093322797013020979760621725517010274852423927182842936679171246197765043523016356446540535734653381117206417855393201508506679655936120741931158606473722681823136086755943805523671254310682835016399323093900031940114040347832900192753865734307875375136317365633359558744190196190450870212955772371308973529563267286680637703545896525490421400681508405737261237319702888644116291956714067227252020557944621936655581046272910224986955785116555926795500529997612486861930042722384245566629207635703326519677989750750654000331205779644180896000549247733110308046632649740831236263554908967105449749070366611251261412165669771314438926301249861901252788592400045839216798718019072942849598273325830277929404265380752560963338036796666551514125614623023702827775454186741214720445800665739745946700231226082241324272973840163744645777640888614193043345405022611442513276650131403000293840477143507749863382477394485450940816988245111678264351932870162180767024452629647384114119178267827030226609194704267981106907884827338092645770787862617694150381907311490778893604113745441089123728706228070781698995917827825206738205712474137302691419115945393833632922248831578004632557507385867886046857339572631885734250726020833619678006912219016392969369912433067907749583474963873246636215201674063340219307614145390683617434447775419814974878445029620127155756426566614531903306359961550352570680137292713644213490096938329464556439267970375921676000348815438065594158147648623527132547319619668695506391750492277701505119965653278990824167256780356433176522769644936232307881504449033224182753424686964207737986110937442390971219052345744386151553928876988310262338181892699598429300485836322706781574342382642570775130561527723856941499081892824209270251914110907042705627995645022054669603794096094264719732029796001624419729389575215275735273373260050062512280391103388236504817728400519840588466424096289204982018965154963145829883336237711146873170403523104013316296766360182839480741869912733922078248821363445469210519975589275089478381323195774775027426781007209497260279398837856078882981639124557906396664174651691778332727395869827042657504162222734489055105178000072920575695932654415292405190448929446}
23562 155296509068989091150638551893421385623409452476225327259062313894799095473972: {117785,141342,306137,518078,541397,729461,1082702,1245977,1318744,1364798,1483587,1766175,1788964,1883920,2089097,2119410,2260704,2416277,2543292,3069461,3201304,3577624,3601467,3814037,4024827,4463861,4510217,4738718,5204597,5299022,5343257,5620361,5733268,5851061,6001935,6265817,6311861,6402064,6426147,6587957,6817817,7202322,7231061,7650175,8118195,8192777,8329877,8543931,8649497,8659408,8839384,8926958,9014297,9062515,9180210,9696917,9741834,9792224,9944307,9969461,10593182,10694837,10709335,10870382,10875018,11016252,11090584,11147438,11327861,11508437,11598677,11733977,11902948,12004361,12049397,12254222,12454361,12476907,12530558,12686443,12851202,12946450,13082798,13083017,13200891,13754837,13799561,14201717,14692361,15137561,15299050,15535740,15586072,15648115,15803861,16025561,16147754,16202777,16571456,16658318,17131061,17534331,18123490,18204184,18358860,18451061,18573518,18642888,18670361,18714197,18777738,19370777,19582784,19589237,19601323,19883695,20025557,20445784,20479707,20481662,20635061,20808917,20973249,21228627,21286361,21297278,21748188,22030632,22111598,22354450,22367861,22842137,22971317,23001507,23014361,23068220,23195342,23229461,23554531,23659061,23860434,23873561,24006638,24558617,24784461,24900377,25272175,25326857,25625342,25837577,25890700,26039704,26219861,26431961,26686217,26825340,26970302,27109337,27507278,27681864,28001890,28079477,28311662,28499957,28552228,28583957,28613696,28709897,28751861,29003477,29294667,29389144,29916542,30183518,30326610,30465497,30752548,31068840,31142097,31213577,31249982,31628057,31710857,31834997,32048318,32083061,32124377,32190408,32292764,32348384,32399764,32495861,32743157,32866697,32954600,33062787,33072437,33140096,33319061,33565397,33602268,33649330,33729461,33735415,33906062,33923487,34098137,34302677,34547861,34952445,35159561,35228702,35525717,36214209,36391932,36539417,36811118,37073925,37145237,37184344,37282608,37337438,37588361,37628597,37632435,37990361,38125838,38351477,38941707,38951897,39175022,39391061,39545520,39630197,39861514,39960398,40002700,40141264,40379196,40385561,40482498,40742357,40940297,41177561,41414537,41540403,41626072,41832387,41942934,42123737,42163061,42181888,42568958,42595097,42735064,42829022,42987017,43104437,43182677,43586935,43885397,44135625,44352437,44469017,44488710,44701961,44942308,45158922,45630857,45900917,45938558,46025764,46132520,46247561,46359175,46593557,46829331,47078000,47228078,47398361,47454624,47742197,47818517,47840815,48003240,48076947,48121935,48193450,48769817,49008472,49027358,49678361,49808788,49867061,50243861,50348068,50469557,50657417,50770037,51203456,51219797,51330064,51556361,51585518,51586264,51899085,52095422,52153097,52304322,52710677,52962750,53229461,53367662,53377397,53386452,53451317,53562137,53599061,54003645,54115157,54382862,55106057,55134531,55359024,55581077,55631010,55654037,56018357,56127497,56493600,56563337,56910782,56945020,57162782,57287177,57408978,57414638,57591147,57603888,57746322,57832140,57917918,57935897,57971861,58034547,58187477,58474517,58904117,59339744,59956988,60259840,60675662,61034837,61140617,61668437,61687616,61784625,61879061,61946215,62019317,62267050,62278902,62404361,63067157,63136757,63167582,63555300,63761717,63796361,64160318,64428184,64522037,64625417,64767295,64804374,65209877,65312777,65397998,65518361,65525272,65645102,65655257,65892062,65903600,66621784,66757212,66827631,66881561,67084937,67124702,67355657,67389461,67592117,67741851,67792320,67895561,68082904,68334024,68366297,68512228,68768537,68899083,69019935,69102857,69369737,69398568,69569561,69579182,70067861,70200437,70399061,70762457,70861397,70894361,71002072,71387861,71584757,71783335,72075737,72095704,72311808,72481707,72564917,72991262,73019861,73052297,73505561,73552984,73553125,73621264,73634777,73715931,73796117,74141550,74203022,74335458,74471561,74599817,74686718,74720460,74949507,75143477,75169838,75462197,75938777,76097237,76266360,76381961,76593267,76875777,77720754,77816702,77993764,78073389,78148851,78294677,78543317,78574361,79084320,79253102,79378697,79428435,79471157,79655861,79686617,79701824,79778837,79877331,80207822,80238857,80300057,80391797,80697077,81107667,81129559,81186904,81350784,81397982,81506895,81759257,81970517,82121177,82177828,82241561,82421897,82661897,82747107,82821422,82823922,83220964,83557337,84239678,84356608,84449944,84526435,84622361,84651797,84723664,84783508,84916361,85035643,85182302,85243634,85501961,85531157,85652840,85677017,85799655,85881535,86122622,86140002,86357342,86490137,86663561,86940688,86980757,87053827,87268277,87762638,87840917,87926537,87955061,88126037,88182259,88263750,88693877,88833171,88929758,88969860,88976597,89455588,89483477,89643387,89664552,89809935,89903897,90238937,90489461,90905561,91007764,91043861,91335267,91519632,91520815,91716158,91882995,92043544,92178542,92388617,92765272,92931977,93094361,93121397,93337397,93606677,93901961,94148000,94169561,94244095,94409717,94481822,94901184,95006187,95314122,95399102,95600777,95628062,95797264,95915657,96281561,96359445,96437897,96905177,97215257,97447061,97491823,97808274,97831961,97985417,98008528,98240537,98316917,98469461,98596361,98621717,99045182,99271838,99301947,99353561,99378677,99579317,99604361,99979735,...,2043311448051646114976074806983685056196513443351827790695333051757503395754224645688355073319988553328122073938501462741754341181092757052488212732157636565222595283810030800905633407863923613525226429381637295293055616412287413993070194612194783319878972598599285438863654692083976460774614450512356045817688618173459688810561387563077513608346022696041764973385891279138716826202255102920406490206283297851194897866810597292866905392044962964253925651659137344678646251665374210489179665707202938039982943505007838671424411938651899145841634285103303245163030564823778444976121613559264507938042728875640717156276965398735074719646247539158347225138748376537645465981633375882049119367034117712567008396326696768358332814049812875416475584161028429958833400238069249853259176925474549296006830031911350443272334189614318156062188165936777410439896383481015646790565125591037648165313652777969062908809475208600333846903872051281455844147396091999736482612699496677142134632209742675349070358745385861488072388500855667836592169568382901261976128003109348476171532230468860801859573619111026024774506994105171837018564072167034741353928761017713640315271205352734948054541772946944164346303689752610269343062590689335221103641574167685526057357759545213242438136923811092131868043357464348836541484557546727855863939404842414939305853324177512857704059452762237675883837120116808774796195649764931389729493247478857026371252664701585064782461175202043310987196995821440093275075904932063230905144711057322169333553361396804684120033863464660639984195519531469640932588275515412278635890774264405018756869296647565284524534669810803601980071675809626783089802262760019483904181112896737909710584022734704130133915708285506881466024252524598984640850047910171060521749350289130798601461813062704476048450039338116285294285676305319433658556963460294344900930020956555318844788235632101022262608605891855979554332966174437935071100840878030836916932904983371569409365337480433677674833890193250794996418730292895064083576368349943811453554989779516984626125981000496808669466271344000823871599665462069948974611246854395332363450658174623605549916876892118248504656971658389451874792851879182888600068758825198077028609414274397409988745416894106398071128841445007055194999827271188421934535554241663181280111822080668700998609618920050346839123361986409460760245616968666461332921289565018107533917163769914975197104500440760715715261624795073716091728176411225482367667517396527899305243271150536678944471076171178767401740545339913792056401971660361827241007138968656181793926541225572860967236168340406170618161633685593059342106172548493876741737810107308568711205954037128673918090750449383373247367006948836261078801829070286009358947828601376089031250429517010368328524589454054868649601861624375212445809869954322802511095010328961421218086025426151671663129722462317667544430190733634639849921797854959539942325528856020205939070466320235145407494196834658901955563882514000523223157098391237221472935290698820979429503043259587625738416552257679948479918486236250885170534649764784154467404348461822256673549836274130137030446311606979166406163586456828578518616579227330893315482465393507272839049397643950728754484060172361513573963856162695842291585785412248622839236313905377871166360564058441993467533082004405691144141397079598044694002436629594084362822913602910059890075093768420586655082354757226592600779760882699636144433807473028447732444718744825004356566720309755605284656019974445149540274259221112804869100883117373232045168203815779963383912634217571984793662162541140171510814245890419098256784118324472458686836859594996261977537667499091093804740563986256243334101733582657767000109380863543898981622938607785673394169}
23563 155847027847616632145754998910207064828355443669883447507705179480100297518420: {23563,47122,188456,212013,777117,1153901,1624053,1648430,1978116,2047197,2236205,2354900,2683446,2801141,2825880,3014272,3130421,3179115,3366077,3391056,3814938,3977753,4001630,4472030,4801956,5366436,5601806,5696438,5812157,6731582,7108077,7166585,7576982,7734461,7948533,8002580,8568196,8599902,9603096,9704261,9835958,10400702,10803483,10824260,11049230,11119757,11391908,12240280,12530297,12989112,13259076,13390437,13637813,13770315,13863230,14500024,14612751,14688336,14787161,14878685,15889773,15928661,16189433,16305573,16312527,16524378,16635876,16721157,16761917,17134936,17601188,17854422,17890061,18381333,18795837,19276803,19419675,19482590,19624197,20398037,20714320,20982821,21205118,22755230,22784741,22948575,23238533,23303610,23379108,24221631,24478480,24857184,24987477,25036984,25212281,25557230,25715501,27185235,27306276,27397502,27538290,27860277,27964332,28166607,28304836,28835275,28997584,29129993,29374176,30668676,30722493,31361006,31395533,31665077,31813912,31945917,32363375,32536301,32549630,32622282,33045948,33167397,33531675,34602330,34793013,35123606,35690285,35767120,35790651,36009957,36171893,36422813,36736430,36909152,37393181,37548206,38438013,38440685,38836050,39059556,40238010,40365955,40435480,40455453,40499705,41193250,41260917,41425120,41522796,41523737,42002835,42467493,42828342,42882413,42920544,42932117,43212821,44083716,44315342,44803024,44874813,44913806,45137981,45231316,45275277,45489915,45932237,46030553,46128822,46480430,46531661,46603260,46874973,47438933,48072477,48285612,48439146,48522576,48599646,49431900,49710144,50003375,50176580,50306357,50403402,50473995,50859093,51922276,52032590,52727360,52843053,53087717,53130902,53418830,53838928,53976664,54284126,54384317,54587898,54987257,55216677,55387204,55776516,55923912,56006157,56177885,56374661,56505221,56663822,57188757,57334613,57532205,57665650,58154861,58294061,58602713,58741517,58762533,58847500,59318280,59572541,59792271,59940597,60004050,60211896,60568794,60723747,61260590,61532957,61571822,61797461,62126813,62260985,62439108,62914401,62935085,63083741,63272832,63853437,64004320,64018877,64102596,64162580,64243533,64358861,64418606,64482830,66733065,67413462,67624973,67738383,68535581,68907837,69038646,69198780,69426617,69739096,69988397,70617000,70842117,71038541,71181275,71181936,72004860,72290175,72427277,72436397,73362461,73512708,73541037,73600133,73812032,73893701,73989686,74133206,74174680,74713182,74946235,75324800,75522102,76073102,76545304,76788196,76805184,76820477,76995096,77109520,77328206,77378277,77379396,77731478,77821913,78143133,78456483,79444125,79758302,80051493,80079678,80324606,80535230,80538101,81169613,81574293,81906590,82011917,82379500,83038536,83277230,83446515,83822606,84740400,85001657,85103630,85250006,85366173,85417530,85640285,85744173,85757462,86113467,86121957,86405832,86619483,86748210,86876877,88752590,88782463,89009616,89076317,89103508,89670437,89935482,90021902,90119630,90322468,90389760,90464942,90615413,90647726,91013493,91112032,91865444,91941230,92026580,92034998,92531424,93055358,93400575,93418353,93541997,94440761,94751373,95319413,95332950,96240477,96415744,96608237,96642276,97206561,97492205,98096997,98105597,98287908,98448413,98467653,98811077,98838093,98855400,99113944,99173822,99325406,99386021,99627280,99932676,...,2724415264068861486634766409311580074928684591135770387593777402343337861005632860917806764426651404437496098584668616989005788241457009403317616976210182086963460378413374401207511210485231484700301905842183060390740821883049885324093592816259711093171963464799047251818206256111968614366152600683141394423584824231279585080748516750770018144461363594722353297847855038851622434936340137227208653608377730468259863822414129723822540522726617285671900868878849792904861668887165613985572887609603917386643924673343784895232549251535865527788845713471070993550707419765037926634828818079019343917390305167520956208369287198313432959528330052211129633518331168716860621308844501176065492489378823616756011195102262357811110418733083833888634112214704573278444533650758999804345569233966065728009106709215133924363112252819090874749584221249036547253195177974687529054086834121383530887084870370625417211745966944800445129205162735041941125529861455999648643483599328902856179509612990233798760478327181148650763184667807557115456226091177201682634837337479131301562042973958481069146098158814701366366009325473562449358085429556046321805238348023618187087028273803646597406055697262592219128404919670147025790750120919113628138188765556914034743143679393617656584182565081456175824057809952465115388646076728970474485252539789886585741137765570017143605412603682983567845116160155745033061594199686575186305990996638476035161670219602113419709948233602724414649595994428586791033434539909417641206859614743096225778071148529072912160045151286214186645594026041959521243451034020549704847854365685873358342492395530087046032712893081071469306762234412835710786403017013359311872241483862317212947445363646272173511887611047342508621365670032798646187800063880228080695665800385507731468615750750272634731266719117488380392380901740425911544742617947059126534573361275407091793050980842801363016811474522474639405777288232583913428134454504041115889243873311162092545820449973911570233111853591001059995224973723860085444768491133258415271406653039355979501501308000662411559288361792001098495466220616093265299481662472527109817934210899498140733222502522824331339542628877852602499723802505577184800091678433597436038145885699196546651660555858808530761505121926676073593333103028251229246047405655550908373482429440891601331479491893400462452164482648545947680327489291555281777228386086690810045222885026553300262806000587680954287015499726764954788970901881633976490223356528703865740324361534048905259294768228238356535654060453218389408535962213815769654676185291541575725235388300763814622981557787208227490882178247457412456141563397991835655650413476411424948274605382838231890787667265844497663156009265115014771735772093714679145263771468501452041667239356013824438032785938739824866135815499166949927746493272430403348126680438615228290781367234868895550839629949756890059240254311512853133229063806612719923100705141360274585427288426980193876658929112878535940751843352000697630876131188316295297247054265094639239337391012783500984555403010239931306557981648334513560712866353045539289872464615763008898066448365506849373928415475972221874884781942438104691488772303107857753976620524676363785399196858600971672645413563148684765285141550261123055447713882998163785648418540503828221814085411255991290044109339207588192188529439464059592003248839458779150430551470546746520100125024560782206776473009635456801039681176932848192578409964037930309926291659766672475422293746340807046208026632593532720365678961483739825467844156497642726890938421039951178550178956762646391549550054853562014418994520558797675712157765963278249115812793328349303383556665454791739654085315008324445468978110210356000145841151391865308830584810380897858892}
23564 156399485469338709022540149698917583104720176431793380616870121389475962997680: {70683,164899,235570,282684,612274,1036156,1082794,1458922,1574299,2165404,2472645,2491954,2637488,2729596,2943625,2967174,3532350,3577928,3767840,4025169,4178194,4238820,4510603,4521408,4832554,5086584,5722407,6002445,6138922,6312403,6402608,6708045,7155248,7202934,7277563,7628074,7827499,8049654,8402709,8513299,8544657,8927722,9020434,9197299,9477436,9743203,10003225,10015723,10097373,10409194,10598044,10686514,10710245,11240722,11365473,11466536,11702122,12003870,12050443,12531634,12590299,12623722,12687521,12804128,12852294,12899853,13129003,13175914,13530325,13635634,13800763,14239885,14404644,14462122,14738203,14753937,14993069,15300350,15601053,16236390,16385554,16573845,16659754,17087862,17264899,17298994,17318816,17678768,17853916,17925499,18028594,18125030,18360420,18715843,19393834,19483668,19584448,19888614,19938922,20794845,21186364,21389674,21418670,21740764,21750036,21907361,22001485,22032504,22181168,22294876,22369843,22499299,22655722,23016403,23016874,23197354,23274523,23467954,23805896,23918563,24008722,24098794,24508444,24786567,24908722,24953814,25061116,25073299,25201243,25372886,25702404,25892900,26165596,26166034,26401782,26781633,27509674,27599122,27837173,28403434,28754443,29223885,29384722,30275122,30598100,31071480,31172144,31296230,31319761,31607722,31807677,32051122,32127283,32295508,32405554,32498803,33142912,33316636,34132845,34262122,34469299,34955415,35068662,35381045,35569603,35691499,36246980,36408368,36717720,36902122,37027603,37147036,37285776,37340722,37428394,37555476,37632043,38114299,38335845,38715499,38741554,39165568,39178474,39202646,39767390,40051114,40891568,40959414,40963324,41096253,41270122,41307435,41617834,41946498,42166963,42457254,42572722,42594556,42873499,43496376,44061264,44223196,44708900,44735722,44744923,45673723,45684274,45942634,46003014,46028722,46136440,46390684,46458922,47041509,47109062,47229581,47318122,47720868,47747122,47975563,48013276,48546523,48660499,48824445,48933423,49117234,49568922,49800754,50248603,50361499,50544350,50653714,51250684,51675154,51781400,51903495,52079408,52439722,52685409,52715683,52863922,53372434,53604163,53650680,53940604,54218674,54818299,55014556,55104645,55363728,55914499,56003780,56158954,56322309,56459899,56539145,56623324,56999914,57104456,57167914,57227392,57419794,57503722,57977443,58006954,58254075,58589334,58730923,58778288,59159899,59833084,60357015,60367036,60653220,60864283,60930994,61021709,61181803,61505096,61709563,61789875,62137680,62284194,62427154,62499964,62720725,63256114,63421714,63669994,63802603,64096636,64166122,64242513,64248754,64380816,64585528,64696768,64799528,64902845,64991722,65456299,65486314,65733394,65909200,66125574,66144874,66280192,66473013,66638122,66977141,67130794,67204536,67298660,67370709,67396123,67458922,67470830,67812124,67846974,68196274,68406643,68605354,69095722,69193233,69234005,69509899,69609763,69720645,69904890,70319122,70457404,70505299,70901443,71051434,71395003,72428418,72474499,72658719,72783864,72899469,73059643,73078834,73448299,73559375,73622236,74147850,74290474,74368688,74565216,74674876,75176722,75257194,75264870,75605103,75851299,75980722,76251676,76326499,76702954,77741299,77883414,77903794,78048885,78350044,78582403,78782122,79091040,79139899,79260394,79694803,79696353,79723028,79920796,80005400,80128245,80203225,80282528,80758392,80771122,80964996,80979499,81426189,81484714,81797923,81880594,81881847,82355122,82790299,82829074,83080806,83238499,83252144,83664774,83684899,83885868,84247474,84326122,84363776,84660643,84995733,85137916,85190194,85470128,85540123,85658044,85974034,85977163,86208874,86365354,86498475,86724701,87105043,87173870,87770794,87964363,88271250,88704874,88938034,88977420,89403922,89884616,90006075,90317844,90674213,90853191,91261714,91494883,91801834,91877116,91890885,92051528,92265040,92357733,92495122,92718350,92969083,93131443,93187114,93658662,94156000,94259899,94339963,94456156,94796722,94909248,95057299,95453299,95484394,95637034,95681630,95985245,96006480,96153894,96243870,96386900,96627909,96724245,97406299,97539634,98016944,98054716,98480323,98556499,98632603,99356722,99389683,99615403,99617576,99734122,...,4086622896103292229952149613967370112393026886703655581390666103515006791508449291376710146639977106656244147877002925483508682362185514104976425464315273130445190567620061601811266815727847227050452858763274590586111232824574827986140389224389566639757945197198570877727309384167952921549228901024712091635377236346919377621122775126155027216692045392083529946771782558277433652404510205840812980412566595702389795733621194585733810784089925928507851303318274689357292503330748420978359331414405876079965887010015677342848823877303798291683268570206606490326061129647556889952243227118529015876085457751281434312553930797470149439292495078316694450277496753075290931963266751764098238734068235425134016792653393536716665628099625750832951168322056859917666800476138499706518353850949098592013660063822700886544668379228636312124376331873554820879792766962031293581130251182075296330627305555938125817618950417200667693807744102562911688294792183999472965225398993354284269264419485350698140717490771722976144777001711335673184339136765802523952256006218696952343064460937721603719147238222052049549013988210343674037128144334069482707857522035427280630542410705469896109083545893888328692607379505220538686125181378670442207283148335371052114715519090426484876273847622184263736086714928697673082969115093455711727878809684829878611706648355025715408118905524475351767674240233617549592391299529862779458986494957714052742505329403170129564922350404086621974393991642880186550151809864126461810289422114644338667106722793609368240067726929321279968391039062939281865176551030824557271781548528810037513738593295130569049069339621607203960143351619253566179604525520038967808362225793475819421168045469408260267831416571013762932048505049197969281700095820342121043498700578261597202923626125408952096900078676232570588571352610638867317113926920588689801860041913110637689576471264202044525217211783711959108665932348875870142201681756061673833865809966743138818730674960867355349667780386501589992837460585790128167152736699887622907109979559033969252251962000993617338932542688001647743199330924139897949222493708790664726901316349247211099833753784236497009313943316778903749585703758365777200137517650396154057218828548794819977490833788212796142257682890014110389999654542376843869071108483326362560223644161337401997219237840100693678246723972818921520491233937332922665842579130036215067834327539829950394209000881521431430523249590147432183456352822450964735335034793055798610486542301073357888942152342357534803481090679827584112803943320723654482014277937312363587853082451145721934472336680812341236323267371186118684212345096987753483475620214617137422411908074257347836181500898766746494734013897672522157603658140572018717895657202752178062500859034020736657049178908109737299203723248750424891619739908645605022190020657922842436172050852303343326259444924635335088860381467269279699843595709919079884651057712040411878140932640470290814988393669317803911127765028001046446314196782474442945870581397641958859006086519175251476833104515359896959836972472501770341069299529568308934808696923644513347099672548260274060892623213958332812327172913657157037233158454661786630964930787014545678098795287901457508968120344723027147927712325391684583171570824497245678472627810755742332721128116883986935066164008811382288282794159196089388004873259188168725645827205820119780150187536841173310164709514453185201559521765399272288867614946056895464889437489650008713133440619511210569312039948890299080548518442225609738201766234746464090336407631559926767825268435143969587324325082280343021628491780838196513568236648944917373673719189992523955075334998182187609481127972512486668203467165315534000218761727087797963245877215571346788338}
23565 156953888717918907338838034026966684567428834613342037863281704673293109849817: {47126,94244,353355,376912,424026,918411,1295195,1554234,1624191,2188383,2307802,2706755,3130687,3248106,3296860,3411995,3737931,3956232,3978091,4094394,4401419,4450761,4472410,4709800,5298525,5366892,5602282,5651760,5953343,6028544,6260842,6267291,6358230,6732154,6782112,6800459,7248831,7629876,7955506,8003260,8944060,9208383,9603912,10033219,10732872,10804401,11203612,11392876,11442111,11624314,11846795,12074481,13141531,13247555,13391583,13463164,13530651,14216154,14333170,15153964,15468922,15613791,15897066,16005160,16029771,16526827,16861083,17136392,17199804,17553183,18005805,18797451,18935583,19206192,19278441,19408522,19671916,19763871,20453451,20801404,20830159,21606966,21648520,21693183,22098460,22239514,22317395,22783816,22950525,24106771,24354585,24480560,24578331,24989631,25060594,25631793,25948491,25978224,26482955,26518152,26780874,26951059,27042891,27175955,27187545,27275626,27540630,27597119,27726460,27868595,29000048,29090751,29225502,29376672,29574322,29757370,29832921,29908383,30635555,31326395,31779546,31857322,32084511,32128005,32366125,32378866,32557051,32611146,32625054,32706995,33048756,33271752,33442314,33523834,33983583,34269872,34525311,34796031,35201931,35202376,35289419,35493467,35708844,35780122,36013083,36148191,36762666,37363083,37430721,37591674,38059329,38247625,38553606,38839350,38965180,39248394,39249051,39602673,40258499,40369385,40796074,41264511,41398683,41428640,41645795,41965642,42410236,42605151,44077083,44387443,44783231,45308725,45412683,45510460,45569482,45897150,46433795,46477066,46607220,46758216,46944345,47411583,48076683,48443262,48608331,48956960,49714368,49966399,49974954,50073968,50424562,50614619,51114460,51204155,51393183,51431002,52149659,52602993,53243195,53816959,54370470,54612552,54795004,54991963,55076580,55278995,55353183,55720554,55886125,55928664,56011083,56142591,56333214,56512337,56609672,56699587,57670550,57988355,57995168,58112331,58247519,58259986,58748352,58767711,58803969,59269667,59651085,59771723,60016595,60076671,60516707,61337352,61439121,61444986,61905183,62426751,62722012,62791066,62919747,63330154,63627824,63685881,63859083,63891834,64063355,64726750,65051807,65072602,65099260,65244564,65860619,65896331,66091896,66334794,67063350,67103583,67380863,67425755,68526411,68768195,68913951,69004521,69043083,69204660,69586026,69688383,70004725,70247212,70663593,70779155,70977183,71111867,71380570,71534240,71581302,71620683,72019914,72343786,72845626,73033363,73472860,73675851,73818304,74353383,74701131,74786362,74791355,74815183,75096412,75458795,75816525,75840179,75980571,76876026,76881370,77512731,77672100,78119112,78124955,78242639,78649039,78659583,79295883,80058651,80120795,80476020,80545087,80731910,80870960,80910906,80999410,81328011,81619007,82386500,82521834,82850240,83045592,83047474,84005670,84093859,84123325,84238431,84765155,84934986,85499871,85606651,85656684,85751871,85764826,85841088,85864234,86129691,86255583,86425642,87010431,87165379,87884001,88071755,88109119,88167432,88630684,89606048,89749626,89827612,89995739,90089483,90275962,90462632,90550554,90979830,91396491,91864474,92027795,92061106,92257644,92960860,92964227,92985251,93063322,93206520,93343595,93426291,93640731,93749946,94877866,94884171,95132571,95314595,95504991,96144954,96249183,96373131,96571224,96878292,97045152,97199292,97487583,97937555,98229471,98600091,98863800,99188361,99217311,99408299,99420288,99653785,99900995,99957183,...,6129934344154938344928224420951055168589540330055483372085999155272510187262673937065065219959965659984366221815504388225263023543278271157464638196472909695667785851430092402716900223591770840575679288144911885879166849236862241979210583836584349959636917795797856316590964076251929382323843351537068137453065854520379066431684162689232540825038068088125294920157673837416150478606765308761219470618849893553584693600431791878600716176134888892761776954977412034035938754996122631467538997121608814119948830515023516014273235815955697437524902855309909735489091694471335334928364840677793523814128186626922151468830896196205224158938742617475041675416245129612936397944900127646147358101102353137701025188980090305074998442149438626249426752483085289876500200714207749559777530776423647888020490095734051329817002568842954468186564497810332231319689150443046940371695376773112944495940958333907188726428425625801001540711616153844367532442188275999209447838098490031426403896629228026047211076236157584464217165502567003509776508705148703785928384009328045428514596691406582405578720857333078074323520982315515511055692216501104224061786283053140920945813616058204844163625318840832493038911069257830808029187772068005663310924722503056578172073278635639727314410771433276395604130072393046509624453672640183567591818214527244817917559972532538573112178358286713027651511360350426324388586949294794169188479742436571079113757994104755194347383525606129932961590987464320279825227714796189692715434133171966508000660084190414052360101590393981919952586558594408922797764826546236835907672322793215056270607889942695853573604009432410805940215027428880349269406788280058451712543338690213729131752068204112390401747124856520644398072757573796953922550143730513181565248050867392395804385439188113428145350118014348855882857028915958300975670890380883034702790062869665956534364706896303066787825817675567938662998898523313805213302522634092510750798714950114708228096012441301033024501670579752384989256190878685192250729105049831434360664969338550953878377943001490426008398814032002471614798996386209846923833740563185997090351974523870816649750630676354745513970914975168355624378555637548665800206276475594231085828242823192229966236250682319194213386524335021165584999481813565265803606662724989543840335466242006102995828856760151040517370085959228382280736850905999383998763868695054322601751491309744925591313501322282147145784874385221148275184529233676447103002552189583697915729813451610036833413228513536302205221636019741376169205914981085481723021416905968545381779623676718582901708505021218511854484901056779178026318517645481630225213430321925706133617862111386021754272251348150119742101020846508783236405487210858028076843485804128267093751288551031104985573768362164605948805584873125637337429609862968407533285030986884263654258076278455014989389167386953002633290572200903919549765393564878619826976586568060617817211398960705436222482590503976705866691647542001569669471295173711664418805872096462938288509129778762877215249656773039845439755458708752655511603949294352463402213045385466770020649508822390411091338934820937499218490759370485735555849737681992679946447396180521818517148192931852186263452180517084540721891568488087526874757356236745868517708941716133613499081692175325980402599246013217073432424191238794134082007309888782253088468740808730179670225281305261759965247064271679777802339282648098908433301422419085343197334156234475013069700160929266815853968059923335448620822777663338414607302649352119696135504611447339890151737902652715954380986487623420514532442737671257294770352354973417376060510578784988785932613002497273281414221691958768730002305200747973301000328142590631696944868815823357020182507}
23566 157510244400701355016899942424933329126232158575495536691929167546812236680770: {70689,117805,141366,329798,400333,471140,565368,636039,682573,1224548,2072312,2165588,2331351,2510113,2917844,3148598,3461703,3489133,3907633,4121075,4330808,4603693,4872159,4945290,4983908,5274976,5297953,5436589,5459192,5575153,5887250,5934348,6141591,6266893,6708615,7064700,7155856,7535680,8050338,8356388,8403423,8477640,9021206,9042816,9391263,9537345,9665108,10004075,10098231,10173168,10379533,10787233,11058673,11180075,11444814,11600689,11736013,11933259,12004890,12277844,12624806,12805216,12950689,13416090,13622989,14004515,14241095,14310496,14405868,14555126,14994343,15095713,15256148,15654998,16099308,16805418,16828955,17026598,17089314,17436471,17855444,18040868,18146893,18394598,18805153,18942455,18954872,19067953,19461613,19486406,19935839,20006450,20031446,20116273,20194746,20818388,21029773,21196088,21324231,21373028,21420193,21420490,21499755,21550189,22481444,22730946,22933072,23203383,23404244,23845599,24007740,24100886,24589895,24648493,25063268,25180598,25247444,25375042,25608256,25704588,25799706,26001755,26258006,26351828,27060650,27198733,27271268,27325489,27601526,27623075,28084513,28479770,28589089,28715053,28809288,28924244,29092513,29112783,29343793,29476406,29507874,29986138,30470989,30600700,30802079,31202106,31219213,31716589,32410449,32472780,32771108,32831473,32954989,33078433,33147690,33319508,33359271,34175724,34186189,34529798,34597988,34637632,34658075,35357536,35707832,35850998,35897773,36057188,36250060,36720840,37014263,37431686,37590891,38787668,38967336,39168896,39777228,39877844,40171311,40913439,41310945,41589690,42131533,42372728,42720673,42779348,42837340,43073293,43190689,43481528,43500072,43814722,43838253,44002970,44065008,44360689,44361483,44362336,44589752,44636055,44739686,44998598,45059233,45311444,46032806,46033748,46394708,46549046,46935908,47611792,47669319,47785983,47827489,47837126,48017444,48197588,48568299,48706475,48854893,48916719,48937581,49016888,49533463,49573134,49649953,49817444,49907628,50122232,50146598,50163471,50285751,50402486,50745772,51117133,51229489,51404808,51785800,51902113,52237453,52331192,52332068,52803564,53012795,53461489,53563266,53572333,53670183,55019348,55143999,55198244,55664689,55674346,56101873,56210989,56387511,56806868,56888075,57508886,57731053,57830409,58259025,58447770,58485793,58769444,58872591,59984689,60410353,60550244,60622753,61194111,61196200,62101489,62142960,62344288,62592460,62639522,62948463,63149089,63215444,63253453,63615354,63893075,64102244,64254566,64591016,64603633,64811108,64997606,65325613,66285824,66633272,67672993,68265690,68354223,68379853,68493755,68524244,68845725,68938598,69383533,69715599,69910830,70137324,70762090,71139206,71382998,71762989,72155533,72493960,72664893,72816736,73131853,73435440,73804244,74055206,74294072,74571552,74681444,74856788,74962431,75110952,75158689,75264086,75636843,76228598,76671690,77146503,77430998,77483108,78092653,78331136,78356948,78372913,78402515,78405292,78466189,79154803,79534780,80102228,80316589,80408353,81374075,81555705,81783136,81918828,81926648,82192506,82540244,82614870,83235668,83580831,83892996,84333926,84463213,84499821,84914508,85145444,85189112,85694989,85746998,86505825,86992752,87389979,87809015,87945133,88122528,88446392,89417800,89471444,89489846,89978989,90313933,90863983,91347446,91368548,91841075,91885268,92006028,92057444,92167479,92272880,92462989,92781368,92917844,93870515,94083018,94186599,94218124,94459162,94636244,94882189,94995231,95441736,95494244,95837751,95951126,95988973,96026552,96537073,96770893,96926413,96927607,97090125,97093046,97236589,97320998,97608903,97648890,97866846,98234468,98313133,99073453,99137844,99450913,99502191,99601393,99601508,...,8173245792206584459904299227934740224786053773407311162781332207030013583016898582753420293279954213312488295754005850967017364724371028209952850928630546260890381135240123203622533631455694454100905717526549181172222465649149655972280778448779133279515890394397141755454618768335905843098457802049424183270754472693838755242245550252310054433384090784167059893543565116554867304809020411681625960825133191404779591467242389171467621568179851857015702606636549378714585006661496841956718662828811752159931774020031354685697647754607596583366537140413212980652122259295113779904486454237058031752170915502562868625107861594940298878584990156633388900554993506150581863926533503528196477468136470850268033585306787073433331256199251501665902336644113719835333600952276999413036707701898197184027320127645401773089336758457272624248752663747109641759585533924062587162260502364150592661254611111876251635237900834401335387615488205125823376589584367998945930450797986708568538528838970701396281434981543445952289554003422671346368678273531605047904512012437393904686128921875443207438294476444104099098027976420687348074256288668138965415715044070854561261084821410939792218167091787776657385214759010441077372250362757340884414566296670742104229431038180852969752547695244368527472173429857395346165938230186911423455757619369659757223413296710051430816237811048950703535348480467235099184782599059725558917972989915428105485010658806340259129844700808173243948787983285760373100303619728252923620578844229288677334213445587218736480135453858642559936782078125878563730353102061649114543563097057620075027477186590261138098138679243214407920286703238507132359209051040077935616724451586951638842336090938816520535662833142027525864097010098395938563400191640684242086997401156523194405847252250817904193800157352465141177142705221277734634227853841177379603720083826221275379152942528404089050434423567423918217331864697751740284403363512123347667731619933486277637461349921734710699335560773003179985674921171580256334305473399775245814219959118067938504503924001987234677865085376003295486398661848279795898444987417581329453802632698494422199667507568472994018627886633557807499171407516731554400275035300792308114437657097589639954981667576425592284515365780028220779999309084753687738142216966652725120447288322674803994438475680201387356493447945637843040982467874665845331685158260072430135668655079659900788418001763042862861046499180294864366912705644901929470670069586111597220973084602146715777884304684715069606962181359655168225607886641447308964028555874624727175706164902291443868944673361624682472646534742372237368424690193975506966951240429234274844823816148514695672363001797533492989468027795345044315207316281144037435791314405504356125001718068041473314098357816219474598407446497500849783239479817291210044380041315845684872344101704606686652518889849270670177720762934538559399687191419838159769302115424080823756281865280940581629976787338635607822255530056002092892628393564948885891741162795283917718012173038350502953666209030719793919673944945003540682138599059136617869617393847289026694199345096520548121785246427916665624654345827314314074466316909323573261929861574029091356197590575802915017936240689446054295855424650783369166343141648994491356945255621511484665442256233767973870132328017622764576565588318392178776009746518376337451291654411640239560300375073682346620329419028906370403119043530798544577735229892113790929778874979300017426266881239022421138624079897780598161097036884451219476403532469492928180672815263119853535650536870287939174648650164560686043256983561676393027136473297889834747347438379985047910150669996364375218962255945024973336406934330631068000437523454175595926491754431142693576676}
23567 158068559348692153303150429648895219769567847517287952191896815292949041217309: {23567,94252,188488,212049,494697,588925,706710,753824,848052,1530685,1813273,1836822,2590390,2706985,3108468,3248382,3647305,3789457,4376766,4401793,4615604,4722897,4776793,4919233,5201677,5413510,6229885,6261374,6496212,6593720,6823990,7035769,7417935,7475862,7600513,7912464,7956182,8188788,8802838,8830875,8901522,8944820,9419600,10445485,10597050,10733784,11204564,11303520,11906686,12057088,12075507,12081385,12154153,12521684,12534582,12716460,13464308,13531809,13564224,13600918,14497662,15249553,15259752,15347305,15911012,16006520,16385773,16585513,17167221,17888120,18007335,18416766,18546577,18937209,19070185,19207824,19771069,20066438,20124135,21170797,21430849,21465744,21608802,21832689,22319305,22407224,22551085,22785752,22884222,23248628,23482497,23693590,24148962,25030753,25208127,25400257,25539897,25633971,26022985,26283062,26495110,26716285,26783166,26926328,27061302,27591897,27937933,28101805,28112953,28432308,28666340,29229609,29255305,30009675,30047169,30292119,30307928,30937844,31227582,31244353,31329085,31559305,31794132,32010320,32059542,32130735,32614777,32939785,33053654,33722166,34089085,34096419,34272784,34399608,35106366,35804593,36011610,36151329,36155305,37076137,37594902,37770897,37871166,38046337,38062563,38250875,38331409,38412384,38556882,38699559,38817044,39016033,39343832,39387009,39527742,39669169,40410073,40590975,40906902,40963885,41055697,41402289,41602808,41649385,41660318,41705677,42719655,42889777,43213932,43247485,43297040,43386366,43856953,44196920,44214609,44261811,44479028,44634790,44979207,44994793,45071485,45312575,45567632,45789793,45901050,46803159,48213542,48484585,48709170,48961120,49156662,49721535,49847305,49979262,50121188,51006829,51128473,51263586,51794697,51851857,51896982,51956448,52310257,52965910,53036304,53474185,53546675,53561748,53744569,53776497,53902118,54085782,54351910,54375090,54551252,55081260,55194238,55452920,55737190,56147529,56517139,56639305,57235849,57542185,57993385,58000096,58181502,58284913,58304113,58451004,58669885,58753344,58760713,59148644,59514740,59665842,59816766,59817277,60021805,60065233,60246985,60897169,61271110,61626793,62271805,62384535,62652790,63432215,63559092,63714644,64169022,64256010,64441873,64690273,64732250,64757732,65007313,65114102,65222292,65250108,65413990,65415085,65722083,66004455,66097512,66242569,66543504,66884628,67047668,67109529,67256953,67386649,67497897,67967166,68401057,68539744,68774185,68837977,68997805,69049209,69050622,69592062,69823569,70403862,70404752,70578838,70639309,70931113,70986934,71008585,71117953,71417688,71560244,71685817,71755689,71906413,72005737,72026166,72296382,72706393,73461805,73525332,74359701,74540473,74726166,74861442,75183348,75219897,75603729,75687805,75944833,76118658,76495250,76634317,77107212,77390593,77678700,77835277,77930360,78240575,78496788,78498102,79019305,79205346,79477969,79631929,80127805,80344899,80446657,80516998,80738770,81013885,81183697,81592148,82529022,82797366,82857280,83260297,83291590,83511519,83716993,83931284,84023233,84385753,84762553,84820472,85210302,85655305,86263329,87671655,88154166,88432657,88588753,88774886,89566462,89688697,90097249,90617450,90788653,90825366,91020920,91138964,91604953,91794300,92255305,92867590,92954132,92993209,93214440,93351805,93516432,93570985,93613993,93888690,93959283,94321369,94396057,94712593,94823166,95423031,96153366,96275473,96381849,96853885,96886524,97216662,97496409,97627849,97906477,97913920,97946185,98006615,98011873,99090817,99131593,99375553,99418475,99428736,99932798,99949908,...,12259868688309876689856448841902110337179080660110966744171998310545020374525347874130130439919931319968732443631008776450526047086556542314929276392945819391335571702860184805433800447183541681151358576289823771758333698473724483958421167673168699919273835591595712633181928152503858764647686703074136274906131709040758132863368325378465081650076136176250589840315347674832300957213530617522438941237699787107169387200863583757201432352269777785523553909954824068071877509992245262935077994243217628239897661030047032028546471631911394875049805710619819470978183388942670669856729681355587047628256373253844302937661792392410448317877485234950083350832490259225872795889800255292294716202204706275402050377960180610149996884298877252498853504966170579753000401428415499119555061552847295776040980191468102659634005137685908936373128995620664462639378300886093880743390753546225888991881916667814377452856851251602003081423232307688735064884376551998418895676196980062852807793258456052094422152472315168928434331005134007019553017410297407571856768018656090857029193382813164811157441714666156148647041964631031022111384433002208448123572566106281841891627232116409688327250637681664986077822138515661616058375544136011326621849445006113156344146557271279454628821542866552791208260144786093019248907345280367135183636429054489635835119945065077146224356716573426055303022720700852648777173898589588338376959484873142158227515988209510388694767051212259865923181974928640559650455429592379385430868266343933016001320168380828104720203180787963839905173117188817845595529653092473671815344645586430112541215779885391707147208018864821611880430054857760698538813576560116903425086677380427458263504136408224780803494249713041288796145515147593907845100287461026363130496101734784791608770878376226856290700236028697711765714057831916601951341780761766069405580125739331913068729413792606133575651635351135877325997797046627610426605045268185021501597429900229416456192024882602066049003341159504769978512381757370384501458210099662868721329938677101907756755886002980852016797628064004943229597992772419693847667481126371994180703949047741633299501261352709491027941829950336711248757111275097331600412552951188462171656485646384459932472501364638388426773048670042331169998963627130531607213325449979087680670932484012205991657713520302081034740171918456764561473701811998767997527737390108645203502982619489851182627002644564294291569748770442296550369058467352894206005104379167395831459626903220073666826457027072604410443272039482752338411829962170963446042833811937090763559247353437165803417010042437023708969802113558356052637035290963260450426860643851412267235724222772043508544502696300239484202041693017566472810974421716056153686971608256534187502577102062209971147536724329211897611169746251274674859219725936815066570061973768527308516152556910029978778334773906005266581144401807839099530787129757239653953173136121235634422797921410872444965181007953411733383295084003139338942590347423328837611744192925876577018259557525754430499313546079690879510917417505311023207898588704926804426090770933540041299017644780822182677869641874998436981518740971471111699475363985359892894792361043637034296385863704372526904361034169081443783136976175053749514712473491737035417883432267226998163384350651960805198492026434146864848382477588268164014619777564506176937481617460359340450562610523519930494128543359555604678565296197816866602844838170686394668312468950026139400321858533631707936119846670897241645555326676829214605298704239392271009222894679780303475805305431908761972975246841029064885475342514589540704709946834752121021157569977571865226004994546562828443383917537460004610401495946602000656285181263393889737631646714040365014}
23568 158628840416641087095355746424853951974277772850311670113611659206814267554692: {117815,141378,164927,235610,259127,282732,447431,659596,682631,729647,800666,870647,942280,1060065,1130736,1272078,1365146,1387031,1668287,2449096,2557031,2755233,3210047,3535967,3885585,4144624,4331176,4604087,4650431,4662702,4872573,4928327,5020226,5344631,5621807,5769505,5835688,5990927,6297196,6313487,6451607,6565149,6923406,6978266,7370567,7815266,8120265,8242150,8332031,8514767,8661616,8788631,9207386,9289967,9392061,9472031,9744318,9890580,9967816,10235985,10549952,10595906,10873178,10918384,11150306,11181025,11213793,11240447,11737031,11774500,11868696,11934273,12283182,12457607,12533786,12592487,12817127,13204257,13352283,13417230,13937327,14005705,14129400,14311712,14473247,14829887,15071360,15141527,15652105,15808007,15895575,16100676,16207031,16712776,16806846,16830385,16955280,17135567,17267927,17356127,17860029,18042412,18085632,18782526,18801873,18806807,18850631,19074690,19330216,19507031,19606321,19888765,19900007,19937533,20008150,20196462,20346336,20401377,20759066,21031631,21422087,21574466,21746493,22117346,22360150,22503287,22889628,22977431,23201378,23472026,23560537,23866518,24009780,24436847,24555688,25249612,25610432,25901378,26226887,26519437,26566247,26832180,26862767,27245978,27625149,28009030,28465607,28482190,28620992,28717631,28759607,28811736,28885487,29060785,29110252,29388287,29988686,30099657,30191426,30512296,31222031,31309996,31843631,32198616,32257031,32413203,32875631,33610836,33657910,33738647,34053196,34178628,34326333,34425853,34557287,34872942,35291327,35540385,35710888,35832925,36081736,36223443,36293786,36306527,36402457,36789196,37115087,37357031,37610306,37884910,37909744,38121287,38135906,38672305,38923226,38972812,39202367,39401927,39424593,39742665,39800447,39871678,40012900,40062892,40174749,40232546,40389492,40515767,40591953,41307527,41636776,42059546,42174767,42392176,42648462,42724631,42746056,42840386,42840980,42999510,43100378,43116431,43351127,43744129,43897631,44481431,44714447,44830847,44962888,45461892,45866144,46260527,46406766,46808488,46841373,47411687,47691198,47984567,48015480,48089313,48201772,48521305,49179790,49296986,49580481,49692407,49805687,49994327,50126536,50361196,50371007,50446247,50494888,50583249,50596631,50750084,50784431,51009527,51216512,51409176,51599412,51683087,52003510,52056167,52516012,52659549,52703656,53577431,53614367,53725127,54017415,54121300,54397466,54542536,54650978,54682031,54902087,55203052,55246150,55377887,55598785,55815887,56143631,56169026,56392353,56543327,56688431,56806749,56959540,57178178,57430106,57618576,57835323,57848488,58096487,58185026,58225566,58491431,58687586,58813847,58952812,59015748,59064167,59242727,59291613,59706047,59972276,60416207,60941978,60946727,61158431,61201400,61360353,61604158,62037431,62404212,62438426,62490477,62651485,62771927,63259631,63433178,64092047,64644431,64820898,64945560,65079549,65332031,65537687,65542216,65662946,65909978,66156866,66295380,66391487,66639016,66718542,66867431,66952185,67003127,67206431,68189065,68351448,68372378,68420207,68688527,68851575,69059596,69195976,69275264,69316150,69590327,69690167,70519367,70715072,70882631,71014487,71179127,71409287,71415664,71701996,71795546,71999327,72114376,72320313,72391247,72500120,73063755,73139207,73441680,73527767,73734993,73935805,73947407,74028526,74217913,74393425,74590367,74863372,74968893,75181782,75930167,76405247,76815527,76895379,77575336,77845473,77934672,78337792,78691607,79448865,79495631,79554456,79643305,79680407,79755688,79803431,79987727,80233007,80342622,80416631,80853177,80947165,80996207,81128673,81527865,81562635,81826878,82237031,82621890,82791357,83179380,83404847,83583431,83605785,83702327,83809585,84263066,84745456,85031087,85441346,85528847,85558696,85674680,86053367,86146586,86381378,86777567,86963056,87000144,87272253,87554087,87629444,87676506,87954431,87982967,88005940,88068527,88130016,88721378,88722966,88724672,89089631,89179504,89272110,89450305,89479372,89498763,89725149,89997196,90118466,90622888,91156007,91321631,91899047,91906665,92065612,92067496,92172767,92789416,93098092,93529367,93871816,93979185,94012847,94280327,95077967,95130887,95223584,95338638,95368631,95474087,95571966,95654978,95674252,95868407,95891257,96034888,96253533,96313127,96384015,96395176,96547631,96573647,97098375,97136598,97412950,97479167,97671153,97709786,97833438,97875162,97941047,98033776,98094431,98120985,98349431,98578247,98629007,98730431,99008687,99066926,99109631,99146268,99299906,99461927,99612431,99634888,99637487,99712607,99815256,...,18389803032464815034784673262853165505768620990166450116257997465817530561788021811195195659879896979953098665446513164675789070629834813472393914589418729087003357554290277208150700670775312521727037864434735657637500547710586725937631751509753049878910753387393568949772892228755788146971530054611204412359197563561137199295052488067697622475114204264375884760473021512248451435820295926283658411856549680660754080801295375635802148528404666678285330864932236102107816264988367894402616991364826442359846491545070548042819707447867092312574708565929729206467275083414006004785094522033380571442384559880766454406492688588615672476816227852425125026248735388838809193834700382938442074303307059413103075566940270915224995326448315878748280257449255869629500602142623248679332592329270943664061470287202153989451007706528863404559693493430996693959067451329140821115086130319338833487822875001721566179285276877403004622134848461533102597326564827997628343514295470094279211689887684078141633228708472753392651496507701010529329526115446111357785152027984136285543790074219747216736162571999234222970562946946546533167076649503312672185358849159422762837440848174614532490875956522497479116733207773492424087563316204016989932774167509169734516219835906919181943232314299829186812390217179139528873361017920550702775454643581734453752679917597615719336535074860139082954534081051278973165760847884382507565439227309713237341273982314265583042150576818389798884772962392960839475683144388569078146302399515899524001980252571242157080304771181945759857759675783226768393294479638710507723016968379645168811823669828087560720812028297232417820645082286641047808220364840175355137630016070641187395256204612337171205241374569561933194218272721390861767650431191539544695744152602177187413156317564340284436050354043046567648571086747874902927012671142649104108370188608997869603094120688909200363477453026703815988996695569941415639907567902277532252396144850344124684288037323903099073505011739257154967768572636055576752187315149494303081994908015652861635133829004471278025196442096007414844396989158629540771501221689557991271055923571612449949251892029064236541912744925505066873135666912645997400618829426782693257484728469576689898708752046957582640159573005063496754998445440695797410819988174968631521006398726018308987486570280453121552110257877685146842210552717998151996291606085162967805254473929234776773940503966846441437354623155663444825553587701029341309007656568751093747189440354830110500239685540608906615664908059224128507617744943256445169064250717905636145338871030155748705125515063655535563454703170337534078955552936444890675640290965777118400853586334158065262816754044450359226303062539526349709216461632574084230530457412384801281253865653093314956721305086493817846416754619376912012288829588905222599855092960652790962774228835365044968167502160859007899871716602711758649296180694635859480929759704181853451634196882116308667447771511930117600074942626004709008413885521134993256417616289388814865527389336288631645748970319119536319266376126257966534811847883057390206639136156400310061948526467171233274016804462812497655472278111457206667549213045978039839342188541565455551444578795556558790356541551253622165674705464262580624272068710237605553126825148400840497245076525977941207797738039651220297272573716382402246021929666346759265406222426190539010675843915785279895741192815039333407017847944296725299904267257256029592002468703425039209100482787800447561904179770006345862468332990015243821907948056359088406513834342019670455213707958147863142959462870261543597328213013771884311057064920252128181531736354966357797839007491819844242665075876306190006915602243919903000984427771895090834606447470071060547521}
23569 159191094483123615589355186872286899931542485712767897836967746922262041741701: {47134,188504,212067,353415,376976,424098,824495,989394,1177850,1200999,1413420,1507648,1696104,1908117,2047719,2142959,3061370,3626546,3673644,3789779,4919651,5106227,5180780,5202119,5413970,5813639,6216936,6496764,6994053,7294610,7530339,7578914,7871495,8494691,8721839,8753532,8803586,9231208,9445794,9553586,9838466,10385109,10403354,10467399,10827020,11722899,12363225,12459770,12522748,12992424,13187440,13647980,13811079,14071538,14363999,14616477,14623679,14718125,14835870,14951724,15201026,15766487,15824928,15893859,15912364,16309767,16377576,16725459,16913939,17185079,17605676,17661750,17803044,17889640,18022199,18313511,18424773,18800679,18839200,20006159,20125845,20890970,21134591,21194100,21467568,21486227,22409128,22553015,22607040,23661479,23813372,24114176,24151014,24162770,24308306,25043368,25069164,25210269,25327367,25432920,26698259,26928616,27063618,27128448,27201836,28173789,28612035,28995324,29300759,29581799,29864687,30012225,30294693,30499106,30519504,30694610,31138599,31247027,31524239,31562015,31571519,31822024,32013040,32361699,32733107,32771546,33171026,33176019,33224399,33540225,34334442,34802067,35208039,35776240,35799777,36014670,36387815,36432179,36833532,37093154,37402799,37874418,38140370,38415648,38852067,39137495,39342527,39411167,39542138,40132876,40248270,40868967,40957427,42013545,42314519,42341594,42566495,42723285,42861698,42931488,43217604,43665378,43860719,44183027,44638610,44814448,44983029,45102170,45287139,45571504,45608039,45768444,45885779,45986495,46115699,46497256,46964994,47387180,47724719,47757359,48297924,48716015,50016125,50061506,50078615,50416254,50486865,50617427,50800514,51079794,51241559,51267942,52045970,52309413,52566124,52990220,53432570,53494967,53551225,53566332,53852656,54122604,54440679,55183794,55875866,56203610,56225906,56415459,56827365,56864616,57203859,57332680,57349439,57451091,58309139,58384839,58459218,58510610,59807517,60019350,60094338,60252215,60348819,60424559,60546479,60584238,60615856,61875688,62455164,62488706,62658170,62951495,63089319,63100079,63118610,63362759,63437605,63588264,63972693,64020640,64119084,64260579,64261470,64499265,64650567,65229554,65645015,65879570,66107308,67131731,67444332,67585379,67642367,67651625,67878419,68178170,68192838,68545568,68799216,69003815,69444479,69610149,69786227,70212732,71199425,71536797,71609186,71912567,72023220,72302658,72310610,73691015,73769685,73945479,74065391,74152274,74863859,74965345,75189804,75541794,75742332,76092674,76125126,76501750,76662818,76824768,77113764,77399118,77634088,77720627,78005265,78032066,78518627,78687664,78774018,79055484,79295027,79338338,79484771,79638767,79649459,80365991,80559059,80820146,81181950,81190739,81596199,81813804,81927770,81976467,82111394,82137839,82804578,82869225,83205616,83298770,83320636,83411354,83827679,84030527,84253539,84345779,84569507,85439310,85650119,85767267,85779554,86145159,86324495,86427864,86494970,86594080,86772732,87180527,87246287,87277539,87338349,87561647,87713906,88031379,88393840,88429218,88523622,88805101,88958056,89099351,89269580,89627495,89958414,89989586,90142970,90625150,91135264,91412967,91579586,91581119,91802100,92406237,93185087,93566051,93579215,93606318,93657639,95149767,95505167,96283859,96427084,96596927,96969170,97231347,97418340,97922240,98313324,98494419,98836499,98864967,99235299,99412019,99443070,99694610,99958524,...,24519737376619753379712897683804220674358161320221933488343996621090040749050695748260260879839862639937464887262017552901052094173113084629858552785891638782671143405720369610867600894367083362302717152579647543516667396947448967916842335346337399838547671183191425266363856305007717529295373406148272549812263418081516265726736650756930163300152272352501179680630695349664601914427061235044877882475399574214338774401727167514402864704539555571047107819909648136143755019984490525870155988486435256479795322060094064057092943263822789750099611421239638941956366777885341339713459362711174095256512746507688605875323584784820896635754970469900166701664980518451745591779600510584589432404409412550804100755920361220299993768597754504997707009932341159506000802856830998239110123105694591552081960382936205319268010275371817872746257991241328925278756601772187761486781507092451777983763833335628754905713702503204006162846464615377470129768753103996837791352393960125705615586516912104188844304944630337856868662010268014039106034820594815143713536037312181714058386765626329622314883429332312297294083929262062044222768866004416896247145132212563683783254464232819376654501275363329972155644277031323232116751088272022653243698890012226312688293114542558909257643085733105582416520289572186038497814690560734270367272858108979271670239890130154292448713433146852110606045441401705297554347797179176676753918969746284316455031976419020777389534102424519731846363949857281119300910859184758770861736532687866032002640336761656209440406361575927679810346234377635691191059306184947343630689291172860225082431559770783414294416037729643223760860109715521397077627153120233806850173354760854916527008272816449561606988499426082577592291030295187815690200574922052726260992203469569583217541756752453712581400472057395423531428115663833203902683561523532138811160251478663826137458827585212267151303270702271754651995594093255220853210090536370043003194859800458832912384049765204132098006682319009539957024763514740769002916420199325737442659877354203815513511772005961704033595256128009886459195985544839387695334962252743988361407898095483266599002522705418982055883659900673422497514222550194663200825105902376924343312971292768919864945002729276776853546097340084662339997927254261063214426650899958175361341864968024411983315427040604162069480343836913529122947403623997535995055474780217290407005965238979702365254005289128588583139497540884593100738116934705788412010208758334791662919253806440147333652914054145208820886544078965504676823659924341926892085667623874181527118494706874331606834020084874047417939604227116712105274070581926520900853721287702824534471448445544087017089005392600478968404083386035132945621948843432112307373943216513068375005154204124419942295073448658423795222339492502549349718439451873630133140123947537054617032305113820059957556669547812010533162288803615678199061574259514479307906346272242471268845595842821744889930362015906823466766590168006278677885180694846657675223488385851753154036519115051508860998627092159381759021834835010622046415797177409853608852181541867080082598035289561644365355739283749996873963037481942942223398950727970719785789584722087274068592771727408745053808722068338162887566273952350107499029424946983474070835766864534453996326768701303921610396984052868293729696764955176536328029239555129012353874963234920718680901125221047039860988257086719111209357130592395633733205689676341372789336624937900052278800643717067263415872239693341794483291110653353658429210597408478784542018445789359560606951610610863817523945950493682058129770950685029179081409419893669504242042315139955143730452009989093125656886767835074920009220802991893204001312570362526787779475263293428080730028}
23570 159755328450623144200739807355166660634560202221862782241391167593825377355326: {70701,164941,235630,282756,306241,329854,471220,518254,565464,636147,729709,894862,1319192,1365262,1434049,1459294,1484091,1601332,1715281,1741294,1766775,1884560,2120130,2261472,2276881,2544156,2730292,2774062,3256909,3336574,4592055,4650829,4898192,5114062,5439819,5510466,6420094,6452161,6475975,7071934,7771170,8077307,8120955,8289248,8515501,8652481,8662352,9199681,9208174,9300862,9325404,9745146,9856654,10040452,10154509,10689262,10941915,11243614,11368371,11512429,11539010,11671376,11981854,12458689,12594392,12626974,12903214,13130298,13205379,13266961,13533775,13846812,13938541,13956532,14168691,14330379,14741134,14757699,15605031,15630532,15653435,16208449,16240530,16484300,16664062,17029534,17059975,17323232,17577262,17930221,18414772,18579934,18689655,18784122,18852289,18944062,19377601,19488636,19607987,19781160,19890455,19935632,20471970,20816269,21099904,21107307,21191812,21746356,21836768,21912947,22007095,22253805,22300612,22362050,22427586,22480894,22505281,22801539,23022529,23409709,23474062,23549000,23562539,23737392,23868546,24053569,24439021,24566364,24915214,25067572,25080001,25184974,25207981,25335889,25634254,26408514,26492625,26704566,26834460,26865169,27844271,27874654,28011410,28258800,28510189,28623424,28762189,28888081,28946494,29659774,29766715,30142720,30283054,30643009,31017229,31304210,31327747,31336455,31515181,31616014,31791150,32011981,32201352,32259949,32414062,33425552,33613692,33660770,33741709,33910560,33987661,34002295,34271134,34478701,34535854,34712254,34723789,35335249,35701261,35720058,36084824,36171264,36226521,36244155,36462459,37158829,37565052,37603746,37613614,37701262,38149380,38245201,38660432,38846221,39014062,39212642,39777530,39800014,39804109,39875066,40016300,40392924,40595427,40685099,40692672,40802754,41518132,42063262,42844174,43002961,43148932,43355149,43492986,44174401,44234692,44720300,44757421,44873809,45006574,45748659,45779256,45802321,45954862,46041915,46402756,46610989,46944052,47121074,47733036,47989069,48019560,48403267,48674221,48788161,48873694,49111376,49157319,49756539,50166095,50375761,50488621,50499224,51220864,51501663,51697607,51802756,52453774,52730701,53038874,53132494,53397709,53619469,53664360,53725534,53730241,54022005,54141227,54491956,55250298,55639731,55821229,56018060,56039821,56585041,56811627,56931214,56964380,57210555,57241984,57435262,57519214,57623472,57770974,58102081,58121570,58220504,58776574,59069869,59233975,59313207,59977372,60199314,60372405,60382852,61024592,61199629,62043469,62358721,62444062,62568529,62619992,62778049,63512391,63687262,64292547,64397232,64514062,64547341,64826406,64857409,65475601,65498067,65681089,65707655,65751262,66237775,66907969,66957915,67221672,67315820,67477294,67653255,67929827,68106392,68357256,68652666,68851706,69114574,69530641,69630541,69730369,69745884,70228429,70447491,70582654,70922689,71021581,71080770,71219149,71421776,71665850,72006541,72163472,72446886,72587572,72594061,72613054,72804914,73578392,73664449,73954861,74230174,74629969,74714062,75014161,75092259,75220612,75624381,75769820,75819488,75969601,76200771,76242574,76271812,76539409,76619691,76901913,77344610,77765101,77838299,77846452,77945624,78068955,78404734,78699661,78803854,78849186,79485330,79600894,79719361,79743356,79811629,80025800,80125784,80148855,80271889,80349498,80465092,80638801,80778984,81031534,81183906,82275649,82615054,82634135,82775691,82816081,83273552,83443309,83711041,83800141,83813799,84119092,84305415,84338859,84349534,84784352,85296924,85449262,85492112,85567021,85680772,85681960,85999020,86091469,86200756,86232862,86700049,86702254,87132589,87218881,87488258,87688827,87712079,87765915,87795262,87992269,88077841,88962862,89428894,89661694,89858221,89925776,90029025,90141507,90277441,90876357,90923784,91606849,91732288,91936321,92521054,92673421,92813532,93616976,93682746,93733059,93888961,93987255,94370641,94450669,94677915,94823374,95382396,95464691,95969134,96030960,96178626,96392205,96403544,96584209,97042610,97438381,97844331,98359580,98589121,98593972,98665261,98741329,98819355,99160962,99384814,99611374,99648529,99723661,99988654,...,36779606064929630069569346525706331011537241980332900232515994931635061123576043622390391319759793959906197330893026329351578141259669626944787829178837458174006715108580554416301401341550625043454075728869471315275001095421173451875263503019506099757821506774787137899545784457511576293943060109222408824718395127122274398590104976135395244950228408528751769520946043024496902871640591852567316823713099361321508161602590751271604297056809333356570661729864472204215632529976735788805233982729652884719692983090141096085639414895734184625149417131859458412934550166828012009570189044066761142884769119761532908812985377177231344953632455704850250052497470777677618387669400765876884148606614118826206151133880541830449990652896631757496560514898511739259001204285246497358665184658541887328122940574404307978902015413057726809119386986861993387918134902658281642230172260638677666975645750003443132358570553754806009244269696923066205194653129655995256687028590940188558423379775368156283266457416945506785302993015402021058659052230892222715570304055968272571087580148439494433472325143998468445941125893893093066334153299006625344370717698318845525674881696349229064981751913044994958233466415546984848175126632408033979865548335018339469032439671813838363886464628599658373624780434358279057746722035841101405550909287163468907505359835195231438673070149720278165909068162102557946331521695768765015130878454619426474682547964628531166084301153636779597769545924785921678951366288777138156292604799031799048003960505142484314160609542363891519715519351566453536786588959277421015446033936759290337623647339656175121441624056594464835641290164573282095616440729680350710275260032141282374790512409224674342410482749139123866388436545442781723535300862383079089391488305204354374826312635128680568872100708086093135297142173495749805854025342285298208216740377217995739206188241377818400726954906053407631977993391139882831279815135804555064504792289700688249368576074647806198147010023478514309935537145272111153504374630298988606163989816031305723270267658008942556050392884192014829688793978317259081543002443379115982542111847143224899898503784058128473083825489851010133746271333825291994801237658853565386514969456939153379797417504093915165280319146010126993509996890881391594821639976349937263042012797452036617974973140560906243104220515755370293684421105435996303992583212170325935610508947858469553547881007933692882874709246311326889651107175402058682618015313137502187494378880709660221000479371081217813231329816118448257015235489886512890338128501435811272290677742060311497410251030127311071126909406340675068157911105872889781351280581931554236801707172668316130525633508088900718452606125079052699418432923265148168461060914824769602562507731306186629913442610172987635692833509238753824024577659177810445199710185921305581925548457670730089936335004321718015799743433205423517298592361389271718961859519408363706903268393764232617334895543023860235200149885252009418016827771042269986512835232578777629731054778672577263291497940638239072638532752252515933069623695766114780413278272312800620123897052934342466548033608925624995310944556222914413335098426091956079678684377083130911102889157591113117580713083102507244331349410928525161248544137420475211106253650296801680994490153051955882415595476079302440594545147432764804492043859332693518530812444852381078021351687831570559791482385630078666814035695888593450599808534514512059184004937406850078418200965575600895123808359540012691724936665980030487643815896112718176813027668684039340910427415916295726285918925740523087194656426027543768622114129840504256363063472709932715595678014983639688485330151752612380013831204487839806001968855543790181669212894940142121095042}
23571 160321549245613578720097785512010796314876200297395315283488917778167553643335: {94268,353445,377008,424134,494781,589025,706830,753952,777381,848196,1154293,1342293,1648990,1978788,2001665,2047893,2188941,2355700,2401998,2611941,2826840,2849429,3015296,3180195,3392208,3412865,3816234,4095438,4161093,4285918,5004861,5814133,5954861,6122740,6802193,7253092,7347288,7506389,7579558,7671093,8265699,9200621,9630141,9839302,10212454,10361560,10404238,10607901,10827940,11020093,11627278,11656755,12433872,12550565,12993528,13812261,13951293,13988106,14589220,14617719,14784981,15060678,15157828,15742990,16033893,16865421,16989382,17308515,17443678,17445665,17507064,17607172,17972781,18462416,18633121,18891588,18940461,19107172,19206853,19354821,19538165,19676932,19695447,20605375,20770218,20806708,20934798,21654040,22111701,22592149,23018465,23445798,24360795,24726450,24919540,24996093,25045496,25544301,25984848,26062949,26365893,26374880,26489765,27182945,27295960,27622158,27869901,27875765,28143076,28176183,28416093,28727998,29144621,29232954,29247358,29436250,29671740,29903448,30402052,30707955,31321501,31334465,31532974,31574221,31649856,31787718,31824728,32167393,32619534,32755152,33450918,33543075,33641379,33721341,33827878,34370158,35211093,35211352,35232973,35323500,35606088,35779280,35802819,36044398,36627022,36849546,37372821,37601358,37678400,37777461,38451381,38684581,39612771,40012318,40056849,40251690,41781940,41811981,42017115,42269182,42388200,42650093,42935136,42972454,43419741,44186821,44489661,44818256,45106030,45214080,45424581,46956315,47322958,47424021,47626744,47686725,48020573,48228352,48302028,48325540,48616612,48621093,48753421,49098269,50020375,50086736,50138328,50420538,50491155,50654734,50865840,50942941,51406701,51803781,51897665,52068381,52978561,53396518,53580087,53857232,53936165,54127236,54256896,54403672,54467381,54538193,54792493,55293365,55900375,56347578,56405619,56420421,56465813,56551893,57224070,57990648,58003445,58262501,58521093,58601518,58680065,58818963,59163598,59593093,59666295,59700021,59729374,59787101,59812599,60024450,60589386,60998212,61039008,61204131,61310909,61389220,62277198,62494054,63048478,63094893,63124030,63143038,63644048,64026080,64266261,64381093,64723398,64753445,65239479,65466214,65543092,66342052,66352038,66448798,67080450,67398221,67509861,68114945,68202421,68289149,68668884,68918069,68932293,69604134,70022575,70110061,70416078,70555421,70681611,71205475,71552480,71599554,71955389,72029340,72775630,72864358,73310541,73356293,73667064,74186308,74805598,74971715,75478565,75748836,76280740,76831296,77704134,78222593,78274990,78680661,78685054,78822334,79084276,79173349,79558311,79698741,79790141,80188373,80265752,80372869,80496540,80588301,81737934,81914854,82875447,84027090,84144775,84353101,84629038,84683188,85132990,85396821,85446570,85723396,85862976,86152893,86278821,86435208,86656461,87182355,87330756,87721438,88132093,88164861,88231061,88366054,88812647,89277220,89295541,89628896,89966058,90018893,90204340,90298971,90574278,90734465,91143008,91216078,91536888,91620749,91771558,91903021,91972990,92231398,92374481,92794741,92994512,93666093,93929988,94025765,94712275,94774360,95339765,95449438,95514718,95530893,96210173,96595848,96605341,96771093,97239609,97308065,97432030,97730701,98626893,99679195,99945781,...,55169409097394445104354019788559496517305862970499350348773992397452591685364065433585586979639690939859295996339539494027367211889504440417181743768256187261010072662870831624452102012325937565181113593304206972912501643131760177812895254529259149636732260162180706849318676686267364440914590163833613237077592690683411597885157464203092867425342612793127654281419064536745354307460887778850975235569649041982262242403886126907406445585214000034855992594796708306323448794965103683207850974094479327079539474635211644128459122343601276937724125697789187619401825250242018014355283566100141714327153679642299363219478065765847017430448683557275375078746206166516427581504101148815326222909921178239309226700820812745674985979344947636244840772347767608888501806427869746037997776987812830992184410861606461968353023119586590213679080480292990081877202353987422463345258390958016500463468625005164698537855830632209013866404545384599307791979694483992885030542886410282837635069663052234424899686125418260177954489523103031587988578346338334073355456083952408856631370222659241650208487715997702668911688840839639599501229948509938016556076547478268288512322544523843597472627869567492437350199623320477272262689948612050969798322502527509203548659507720757545829696942899487560437170651537418586620083053761652108326363930745203361258039752792847158009605224580417248863602243153836919497282543653147522696317681929139712023821946942796749126451730455169396654318887178882518427049433165707234438907198547698572005940757713726471240914313545837279573279027349680305179883438916131523169050905138935506435471009484262682162436084891697253461935246859923143424661094520526065412890048211923562185768613837011513615724123708685799582654818164172585302951293574618634087232457806531562239468952693020853308151062129139702945713260243624708781038013427947312325110565826993608809282362066727601090432359080111447966990086709824246919722703706832596757188434551032374052864111971709297220515035217771464903305717908166730256561945448482909245984724046958584905401487013413834075589326288022244533190967475888622314503665068673973813167770714837349847755676087192709625738234776515200619407000737937992201856488280348079772454185408730069696126256140872747920478719015190490264995336322087392232459964524905894563019196178054926962459710841359364656330773633055440526631658153994455988874818255488903415763421787704330321821511900539324312063869466990334476660763103088023927022969706253281241568321064490331500719056621826719846994724177672385522853234829769335507192752153716908436016613090467246115376545190966606690364109511012602236866658809334672026920872897331355202560759002474195788450262133351077678909187618579049127649384897722252691591372237154403843761596959279944870163915259481453539250263858130736036866488766715667799565278881958372888322686506095134904502506482577023699615149808135275947888542083907578442789279112545560354902590646348926002343314535790352800224827878014127025241656563404979769252848868166444596582168008865894937246910957358608957799128378773899604435543649172170619917408469200930185845579401513699822050413388437492966416834334371620002647639137934119518026565624696366654333736386669676371069624653760866497024116392787741872816206130712816659380475445202521491735229577933823623393214118953660891817721149147206738065788999040277796218667278571617032027531747355839687223578445118000221053543832890175899712801771768088776007406110275117627301448363401342685712539310019037587404998970045731465723844169077265219541503026059011365641123874443589428878388610784630791984639041315652933171194760756384544595209064899073393517022475459532727995227628918570020746806731759709002953283315685272503819342410213181642563}
23572 160889763818642162663691382111216741748715156716862283856797088915047795774127: {117835,141402,259171,329882,471260,541627,565512,612482,636201,659708,942440,964771,1036508,1060245,1130928,1272294,1459418,1789724,2473485,2638384,2650867,2730524,2868098,2918588,2944625,2968182,3202664,3430562,3482588,3533550,3602997,3769120,4048027,4240260,4522944,4553762,5088312,5437987,5460584,5548124,5576587,5724351,5853571,6143157,6428877,6513818,6544771,6673148,6820747,7653425,8881387,9066365,9184110,9301658,9796384,10228124,10879638,11020932,11332771,11369337,11739067,12840188,12904322,12951950,13088707,13534925,13760827,14143868,14758953,15318681,15542340,15606357,16032571,16154614,16241910,16431307,16578496,17031002,17304962,17324704,17359171,17440917,18236525,18399362,18416348,18601724,18650808,18678571,18947285,19490292,19597867,19713308,19990771,20080904,20309018,20982159,21035347,21378524,21555907,21883830,21914809,22008965,22487228,22591017,22736742,23024858,23078020,23239771,23342752,23614485,23883965,23884171,23963708,24526771,24596165,24783307,24917378,25188784,25253948,25484073,25806428,26008385,26061667,26165517,26260596,26410758,26443771,26533922,27067550,27332827,27459547,27693624,27846637,27877082,27913064,28337382,28660758,28722787,28974571,29482268,29515398,30809933,31149425,31155327,31210062,31261064,31306870,31330409,31402197,31849387,32416898,32481060,32716771,32963947,32968600,33087427,33328124,34059068,34119950,34318267,34646464,35154524,35168697,35178845,35860442,36829544,37023701,37089675,37159868,37363867,37379310,37568244,37605571,37704578,37846987,37888124,38002565,38755202,38977272,39215974,39562320,39780910,39871264,40602571,40943940,40959187,41433237,41632538,41673401,42199808,42214614,42383624,42614827,43091997,43202707,43492712,43673536,43825894,43849431,43871037,44014190,44154375,44489707,44507610,44601224,44722771,44724100,44855172,44961788,45010562,45603078,46045058,46115107,46819418,46948124,47098000,47125078,47299461,47474784,47603213,47681577,47737092,48107138,48878042,48929301,49132728,49830428,49890571,50135144,50160002,50176377,50369948,50415962,50455771,50671778,50681347,50741817,51244027,51268508,51555237,52227425,52817028,52985250,53409132,53587627,53668920,53730338,54066597,54097769,54361771,54692467,54940533,55132387,55274319,55688542,55749308,56022820,56227147,56336227,56402037,56517600,57020378,57203861,57246848,57524378,57776162,57892988,58179571,58502707,59319548,59533430,59575147,60018477,60108667,60285440,60377535,60406925,60566108,60770765,61286018,62034458,62119627,62608420,62655494,62672910,63030362,63232028,63271987,63403773,63582300,64023962,64402704,64458681,64519898,64828124,65241907,66851104,67227384,67287427,67321540,67483418,67659045,67821120,67975322,68004590,68097571,68400187,68542268,68957402,69071708,69404227,69424508,69447578,70232533,70670498,70984437,71402522,71440116,71587771,71784547,72169648,72275227,72342528,72453042,72488310,72861667,72924918,73833307,74317658,74797747,75130104,75207492,75227228,75402524,75468571,75630807,75659587,75982101,76135867,76247765,76298760,76490402,76736525,76894171,77320864,77692442,78028124,78116587,78303571,78425284,78490267,78583507,79555060,79600028,79608218,79750132,80032600,80094777,80433187,80785848,81190854,81370198,81385344,81605508,81928865,82163707,82434571,82614787,82927565,83036264,84126524,84223771,84489667,84521367,85107571,85688348,85721947,85836105,86005922,86297864,86710298,86985972,87902277,88315027,88348802,88469384,88740907,88745397,89164987,89440600,89514842,89594061,89747618,90013148,90036675,90091627,90884079,91092571,91497318,91558512,91604642,91909724,91990717,92083830,92732885,92805512,93221978,93415797,93549571,93741081,93888104,94242148,94572717,94686045,94714557,95151571,95350925,95466072,95941771,95978138,96039120,96334171,96806534,96880507,97085097,97348442,97576322,97747388,97885771,98199321,98222752,98314638,98650771,98855345,99181987,99513078,99528057,99673197,99784771,...,73559212129859260139138693051412662023074483960665800465031989863270122247152087244780782639519587919812394661786052658703156282519339253889575658357674916348013430217161108832602802683101250086908151457738942630550002190842346903750527006039012199515643013549574275799091568915023152587886120218444817649436790254244548797180209952270790489900456817057503539041892086048993805743281183705134633647426198722643016323205181502543208594113618666713141323459728944408431265059953471577610467965459305769439385966180282192171278829791468369250298834263718916825869100333656024019140378088133522285769538239523065817625970754354462689907264911409700500104994941555355236775338801531753768297213228237652412302267761083660899981305793263514993121029797023478518002408570492994717330369317083774656245881148808615957804030826115453618238773973723986775836269805316563284460344521277355333951291500006886264717141107509612018488539393846132410389306259311990513374057181880377116846759550736312566532914833891013570605986030804042117318104461784445431140608111936545142175160296878988866944650287996936891882251787786186132668306598013250688741435396637691051349763392698458129963503826089989916466932831093969696350253264816067959731096670036678938064879343627676727772929257199316747249560868716558115493444071682202811101818574326937815010719670390462877346140299440556331818136324205115892663043391537530030261756909238852949365095929257062332168602307273559195539091849571843357902732577554276312585209598063598096007921010284968628321219084727783039431038703132907073573177918554842030892067873518580675247294679312350242883248113188929671282580329146564191232881459360701420550520064282564749581024818449348684820965498278247732776873090885563447070601724766158178782976610408708749652625270257361137744201416172186270594284346991499611708050684570596416433480754435991478412376482755636801453909812106815263955986782279765662559630271609110129009584579401376498737152149295612396294020046957028619871074290544222307008749260597977212327979632062611446540535316017885112100785768384029659377587956634518163086004886758231965084223694286449799797007568116256946167650979702020267492542667650583989602475317707130773029938913878306759594835008187830330560638292020253987019993781762783189643279952699874526084025594904073235949946281121812486208441031510740587368842210871992607985166424340651871221017895716939107095762015867385765749418492622653779302214350804117365236030626275004374988757761419320442000958742162435626462659632236896514030470979773025780676257002871622544581355484120622994820502060254622142253818812681350136315822211745779562702561163863108473603414345336632261051267016177801436905212250158105398836865846530296336922121829649539205125015462612373259826885220345975271385667018477507648049155318355620890399420371842611163851096915341460179872670008643436031599486866410847034597184722778543437923719038816727413806536787528465234669791086047720470400299770504018836033655542084539973025670465157555259462109557345154526582995881276478145277065504505031866139247391532229560826556544625601240247794105868684933096067217851249990621889112445828826670196852183912159357368754166261822205778315182226235161426166205014488662698821857050322497088274840950422212507300593603361988980306103911764831190952158604881189090294865529608984087718665387037061624889704762156042703375663141119582964771260157333628071391777186901199617069029024118368009874813700156836401931151201790247616719080025383449873331960060975287631792225436353626055337368078681820854831832591452571837851481046174389312852055087537244228259681008512726126945419865431191356029967279376970660303505224760027662408975679612003937711087580363338425789880284242190084}
23573 161459979144412598784687079523960015490872714695498779855582063819587883540109: {188536,212103,494823,589075,706890,754016,824635,848268,918723,989562,1178050,1295635,1413660,1507904,1554762,1696392,1908441,2189127,2237155,2308586,2684586,2802331,3297980,3367507,3413155,3648235,3957576,4003330,4095786,4302147,4353235,4377882,4452273,4711400,4778011,4803996,5145843,5223882,5300325,5653680,5698858,5955367,6030592,6360390,6784416,6802771,6825730,6830643,6935155,7037563,7602451,7632468,8024071,8190876,8322186,8341435,8571836,8871187,9770727,10009722,10283047,11628266,11909722,12245480,12785155,13604386,13705747,13776165,13952487,14506184,14694576,15012778,15159116,15342186,16050235,16319457,16531398,17570791,17679835,18401242,18783691,19260282,19356483,19427925,19678604,20424908,20723120,20808476,21215802,21655880,22040186,22168987,22980067,23020435,23252155,23254556,23313510,23567491,24231921,24362865,24423931,24641635,24867744,25101130,25546503,25957443,25987056,26579047,26723155,27353431,27599043,27624522,27902586,27976212,28109035,28642843,28847525,29178440,29235438,29569962,29954635,30121356,30315656,30463527,30801667,31485980,31567435,32026411,32067786,32225851,32258035,32825745,33120403,33730842,33764071,33978764,34105113,34443643,34537287,34617030,34887356,34891330,35014128,35214344,35945562,36852835,36924832,37085671,37266242,37376067,37783176,37880922,38056123,38214344,38413706,38683891,38709642,39026071,39076330,39353864,39390894,39616137,39800883,40601325,41210750,41540436,41613416,41660155,41815623,41869596,41954407,42506073,42573835,42991137,43308080,43447291,43868251,43943155,44223402,44273097,45184298,46036930,46449835,46815093,46891596,46960305,47360155,47667751,48330907,48625347,48721590,49102471,49452900,49612387,49839080,49992186,50090992,51088602,51179925,51969696,52125898,52731786,52749760,52979530,53790663,54365890,54591920,55244316,55334371,55545943,55739802,55751530,55905125,56068965,56202235,56286152,56352366,56556867,56781187,56832186,57250567,57455996,58025227,58132803,58289242,58465908,58471243,58494716,58685155,58775827,58823961,58872500,59343480,59671365,59806896,60360007,60804104,60954451,61415910,61823971,62288035,62448807,62451931,62643002,62668930,62962435,63065948,63148442,63299712,63321921,63575436,63649456,64085635,64334786,64361671,65239068,65510304,65738841,65956411,66021285,66761415,66901836,67086150,67282758,67442682,67515843,67655756,68404617,68740316,68855683,68923987,69067587,69430471,69686635,70028525,70212787,70229127,70422186,70422704,70465946,70647000,70657483,70687617,71212176,71558560,71605638,71620327,72088796,72160707,72366235,72458347,72467527,72656731,73254044,73317063,73699092,73872391,74149435,74745642,74995987,75202716,75240003,75356800,75510631,75554922,75623943,75707635,75842947,76007667,76783387,76902762,77210971,77369162,77410711,78260525,79016731,79040035,79225542,79477875,79541671,79652443,80024636,80113698,80503380,80595507,81035155,81204823,81264727,81448627,82152091,83532813,83563880,83623962,83682343,84034230,84151925,84538364,84776400,85038187,85300186,85530567,85677835,85870272,85944908,86244811,86286567,86339635,86664243,86780635,86839482,87058711,87425251,88373642,88455403,88979322,89300145,89636512,90120547,90212060,90428160,90654823,90716443,90812011,90849162,91628647,91929027,92685991,93051687,93912630,93983241,94009365,94034035,94253155,94545543,94645916,94848042,95144467,95253488,95360923,95373450,96035943,96041146,96218407,96456704,96604056,96651080,96779847,97027771,97233224,97242186,97285147,97506842,97535155,98031605,98196538,99157267,99443825,99500035,99687665,...,110338818194788890208708039577118993034611725940998700697547984794905183370728130867171173959279381879718591992679078988054734423779008880834363487536512374522020145325741663248904204024651875130362227186608413945825003286263520355625790509058518299273464520324361413698637353372534728881829180327667226474155185381366823195770314928406185734850685225586255308562838129073490708614921775557701950471139298083964524484807772253814812891170428000069711985189593416612646897589930207366415701948188958654159078949270423288256918244687202553875448251395578375238803650500484036028710567132200283428654307359284598726438956131531694034860897367114550750157492412333032855163008202297630652445819842356478618453401641625491349971958689895272489681544695535217777003612855739492075995553975625661984368821723212923936706046239173180427358160960585980163754404707974844926690516781916033000926937250010329397075711661264418027732809090769198615583959388967985770061085772820565675270139326104468849799372250836520355908979046206063175977156692676668146710912167904817713262740445318483300416975431995405337823377681679279199002459897019876033112153094956536577024645089047687194945255739134984874700399246640954544525379897224101939596645005055018407097319015441515091659393885798975120874341303074837173240166107523304216652727861490406722516079505585694316019210449160834497727204486307673838994565087306295045392635363858279424047643893885593498252903460910338793308637774357765036854098866331414468877814397095397144011881515427452942481828627091674559146558054699360610359766877832263046338101810277871012870942018968525364324872169783394506923870493719846286849322189041052130825780096423847124371537227674023027231448247417371599165309636328345170605902587149237268174464915613063124478937905386041706616302124258279405891426520487249417562076026855894624650221131653987217618564724133455202180864718160222895933980173419648493839445407413665193514376869102064748105728223943418594441030070435542929806611435816333460513123890896965818491969448093917169810802974026827668151178652576044489066381934951777244629007330137347947626335541429674699695511352174385419251476469553030401238814001475875984403712976560696159544908370817460139392252512281745495840957438030380980529990672644174784464919929049811789126038392356109853924919421682718729312661547266110881053263316307988911977749636510977806831526843575408660643643023801078648624127738933980668953321526206176047854045939412506562483136642128980663001438113243653439693989448355344771045706469659538671014385504307433816872033226180934492230753090381933213380728219022025204473733317618669344053841745794662710405121518004948391576900524266702155357818375237158098255298769795444505383182744474308807687523193918559889740327830518962907078500527716261472073732977533431335599130557763916745776645373012190269809005012965154047399230299616270551895777084167815156885578558225091120709805181292697852004686629071580705600449655756028254050483313126809959538505697736332889193164336017731789874493821914717217915598256757547799208871087298344341239834816938401860371691158803027399644100826776874985932833668668743240005295278275868239036053131249392733308667472773339352742139249307521732994048232785575483745632412261425633318760950890405042983470459155867647246786428237907321783635442298294413476131577998080555592437334557143234064055063494711679374447156890236000442107087665780351799425603543536177552014812220550235254602896726802685371425078620038075174809997940091462931447688338154530439083006052118022731282247748887178857756777221569261583969278082631305866342389521512769089190418129798146787034044950919065455990455257837140041493613463519418005906566631370545007638684820426363285126}
23574 162032202221868455713328035484852948278431314689435120249664892553167666770313: {164969,235670,259193,282804,306293,400469,518342,659764,870869,942520,1011833,1060335,1083254,1131024,1224964,1272402,1319416,1484343,1767075,1884880,1929542,2073016,2120490,2261856,2332143,2370773,2544588,2918836,2977769,3462879,3579448,3676469,4026879,4122475,4946970,5276768,5301734,5461048,5623253,5736196,5837176,5889250,5936364,6004995,6130793,6143679,6405328,6453269,6545333,6566823,6591353,6861124,6965176,7067100,7205994,7538240,7835823,8059769,8096054,8480520,8548287,8653973,9045888,9107524,9292373,9540585,9974633,10176624,10238595,10247033,10564469,10714795,10875974,10921168,11096248,11153174,11243369,11448702,11604713,11707142,12010613,12286314,12483279,12595769,12692911,12820469,12857754,12955193,13027636,13089542,13134713,13346296,13641494,13806773,14075093,14477033,14967413,15014583,15306850,15412373,17272469,17442399,17762774,17864583,17933369,18132730,18153269,18368220,18603316,18724073,18948895,19381013,19468469,19592768,19905269,20036153,20406579,20456248,21210869,21557813,21759276,22041864,22519167,22665542,22738674,23013279,23241833,23284853,23478134,23929193,24528953,24571733,24598255,24797097,25531135,25680376,25808644,25903900,26010595,26177414,26526199,26700533,27069850,27504233,27521654,27601863,28287736,28599353,28767353,28890423,28893269,28977173,29019113,29068195,29517906,29521769,30637362,30648533,30812551,31084680,31212714,31603769,31823703,32065142,32100473,32309228,32483820,32719733,32760953,32862614,33060279,33156992,33337193,33437551,33583673,33993833,34062004,34434631,34566713,34609924,34649408,34718342,34811753,34881834,34970265,35097269,35423093,35910869,36411739,36437993,36473050,36798724,36832696,37026847,37044533,37203448,37301616,37357142,37649273,37651695,37850453,37894570,38252213,38933369,38980584,39195734,39213173,39357475,39426616,39652073,39981542,40129769,40161808,40407893,40618036,40645973,41200373,41436783,41437493,41853879,41964318,42070694,42473455,42618773,42757048,42893369,43089269,43111814,43363193,43480469,43609195,43755283,43767660,43829618,43853157,44017930,44182613,44354943,44726933,44765753,44843369,44974456,45182034,45473484,45888053,46049716,46156040,46479542,46685504,47228970,47767930,47768342,47927416,47998073,48101679,48873269,49053542,49192330,49250383,49566614,49819769,49834756,50377568,50460533,50498153,50507896,50596263,50968146,51023993,51136469,51612856,51925545,52016770,52070969,52123334,52182773,52331034,52336995,52521192,52821516,52887542,53067844,53203591,53481833,53629673,53740469,53918343,54135100,54366953,54403733,54665654,54919094,55387248,55693274,55754164,55826128,55831913,55899363,55941269,56123369,56674764,56821383,57321516,57445574,57572969,57620559,57949142,58064463,58185173,58221113,58614495,58938233,58964536,59030796,59086341,59188469,61070393,61619866,61816125,61915193,62125673,62298850,62310654,62420124,62440853,62522128,62613740,62660818,62804394,62894969,63698774,63933727,64559993,64628969,64833796,64870133,64962120,65433542,65488469,65557013,65927894,65937200,66070073,66174854,66335103,66656248,67124693,67604563,67632233,67776447,68118136,68137973,68239900,68440553,68636534,68809493,69055395,69292928,69544469,69611093,69710969,70309048,70337394,70357690,70441193,70705769,71594933,71627753,71720884,71819995,72119093,72510869,73082385,73118395,73590625,73659088,74047402,74066453,74179350,74319736,74516693,74727734,74758620,74988279,75093269,75136488,75211142,75409156,75476213,75508073,75693974,75776248,75889769,76005130,76365269,76632903,77510404,77954544,78188847,78342713,78431948,78622613,78832435,79097679,79124640,79427573,79469295,79561820,79704953,79742528,80012393,80257769,80349653,80655413,80716469,81205142,81385973,81548835,81887880,81918374,81991253,82473173,82866474,83265076,83346802,83430869,83609703,83627295,83817593,84232553,84399616,84429228,84528549,84569695,84767248,85079071,85229654,85248279,85730933,85925395,86167673,86183994,86405414,86718293,86985424,87347072,87433863,87651788,87698862,87742074,88028380,88096469,88181993,88308750,88979414,89015220,89202448,89445542,89448200,89710344,89923576,89933369,90021124,90110995,90129173,90352469,90547433,90963893,91206156,91543913,91567555,92010869,92090116,92123865,92230214,92284469,92693369,93154613,93559673,93638836,93896248,93962933,93964503,94003395,94196000,94250156,94391093,94598922,94722663,94843769,94949568,95206426,95363154,95474184,95978453,96214276,96344693,96501173,96502179,97150073,97511273,97756084,97858602,98050133,98265456,98534633,98661653,98687033,99117269,99660856,99745769,99781142,99795833,...,165508227292183335313062059365678489551917588911498051046321977192357775056092196300756760938919072819577887989018618482082101635668513321251545231304768561783030217988612494873356306036977812695543340779912620918737504929395280533438685763587777448910196780486542120547956030058802093322743770491500839711232778072050234793655472392609278602276027838379382962844257193610236062922382663336552925706708947125946786727211658380722219336755642000104567977784390124918970346384895311049623552922283437981238618423905634932385377367030803830813172377093367562858205475750726054043065850698300425142981461038926898089658434197297541052291346050671826125236238618499549282744512303446445978668729763534717927680102462438237024957938034842908734522317043302826665505419283609238113993330963438492976553232584819385905059069358759770641037241440878970245631607061962267390035775172874049501390405875015494095613567491896627041599213636153797923375939083451978655091628659230848512905208989156703274699058376254780533863468569309094763965735039015002220066368251857226569894110667977724950625463147993108006735066522518918798503689845529814049668229642434804865536967633571530792417883608702477312050598869961431816788069845836152909394967507582527610645978523162272637489090828698462681311511954612255759860249161284956324979091792235610083774119258378541474028815673741251746590806729461510758491847630959442568088953045787419136071465840828390247379355191365508189962956661536647555281148299497121703316721595643095716017822273141179413722742940637511838719837082049040915539650316748394569507152715416806519306413028452788046487308254675091760385805740579769430273983283561578196238670144635770686557305841511034540847172371126057398747964454492517755908853880723855902261697373419594686718406858079062559924453186387419108837139780730874126343114040283841936975331697480980826427847086200182803271297077240334343900970260129472740759168111120497790271565303653097122158592335915127891661545105653314394709917153724500190769685836345448727737954172140875754716204461040241502226767978864066733599572902427665866943510995206021921439503312144512049543267028261578128877214704329545601858221002213813976605569464841044239317362556226190209088378768422618243761436157045571470794986008966262176697379893574717683689057588534164780887379132524078093968992320899166321579894974461983367966624454766466710247290265363112990965464535701617972936191608400971003429982289309264071781068909118759843724704963193470994502157169865480159540984172533017156568559704489308006521578256461150725308049839271401738346129635572899820071092328533037806710599976428004016080762618691994065607682277007422587365350786400053233036727562855737147382948154693166758074774116711463211531284790877839834610491745778444360617750791574392208110599466300147003398695836645875118664968059518285404713507519447731071098845449424405827843665626251722735328367837337636681064707771939046778007029943607371058400674483634042381075724969690214939307758546604499333789746504026597684811740732872075826873397385136321698813306630947516511859752225407602790557536738204541099466151240165312478899250503003114860007942917413802358554079696874089099963001209160009029113208873961282599491072349178363225618448618392138449978141426335607564475205688733801470870179642356860982675453163447441620214197366997120833388656001835714851096082595242067519061670735335354000663160631498670527699138405315304266328022218330825352881904345090204028057137617930057112762214996910137194397171532507231795658624509078177034096923371623330768286635165832353892375953917123946958799513584282269153633785627194697220180551067426378598183985682886755710062240420195279127008859849947055817511458027230639544927689}
23575 162606440074276860697716546022042456836467886481190402379103939561013639312105: {353505,377072,424206,777513,824705,989646,1154489,1178150,1413780,1508032,1531205,1624881,1649270,1696536,1813889,1837446,1908603,1979124,2356100,2591270,2827320,2894313,3015808,3109524,3132017,3180735,3392784,3648545,3816882,3979781,4378254,4474310,4617172,4778417,5107529,5369172,5604662,6094529,6595960,6735014,6826310,7038161,7170245,7296470,7420455,7603097,7915152,7952601,8006660,8191572,8496857,8576405,8604294,8706470,8755764,8833875,8904546,9422800,9482993,9556022,9607992,9709217,10291686,10447764,10600650,10808991,11307360,11384405,11397716,11678009,11910734,12061184,12144081,12720780,13568832,13605542,13651460,13661286,13870310,14075126,15204902,15264936,16048142,16197701,16284545,16313961,16381752,16644372,16682870,16729761,17143672,17173053,17317289,17560713,17742374,17899217,18429471,19286631,19541454,19634313,20019444,20462241,20566094,20993537,22470329,22960275,23250401,23254145,23256532,23819444,24366389,24490960,24751769,25225157,25570310,26340137,26644161,27158261,27199095,27208772,27411494,27552330,27904974,29012368,29389152,30025556,30318232,30684372,31411601,32100470,32228609,32260805,32379875,32553017,32638914,33062796,33998313,34108011,34235129,34498289,35141582,35217201,35359670,35644949,36802484,37016921,37412417,37567382,38520564,38712966,38855850,39266121,39352649,39357208,39902993,40386535,40604775,40849816,41282481,41446240,41616952,41936489,42431604,42577505,42650441,43234937,43262405,43311760,44080372,44194409,44276859,44337974,45161249,45956043,45960134,45998405,46040870,46504310,46509112,46627020,46819071,47134982,48097713,48463842,48558737,48725730,48847862,49283270,49293921,49582481,49616633,49692341,49735488,50202260,50587529,50772545,51093006,51593969,51664073,51914886,51974112,52077513,52322751,53158094,53446310,54706862,54709575,55198086,55249044,55805172,55952424,56035713,56218070,56841855,57285686,57562145,57695050,58030193,58324217,58356880,58470876,58632821,58705973,58793601,59139924,59551001,59603369,59909270,59972313,60242712,60631312,60927054,61520417,61603334,61844297,62293445,62946477,62971960,63106041,63134870,64052822,64135572,64451702,64516070,64667721,65029769,65651490,65744427,66026895,66240806,66304217,66334805,67461684,67528142,67659761,67668875,67773051,67957528,68210226,68570657,68887286,69074574,69234060,69436433,69462341,69692705,69719313,69774712,69782660,69799217,70028256,70428688,70505129,70843455,71651895,71652513,71891124,73064693,73580313,73637801,73705670,73788495,73849664,74171342,74349921,74532484,74752134,75566352,75761844,76063793,76112246,76428688,76452219,76827412,77367782,77419284,78025155,78052142,78152660,78185001,78267175,78496551,78683129,78707728,78781788,79232274,79331313,79601766,80053193,81042245,81202650,81455621,81998481,82054193,82078793,82159217,82378641,82421500,83080872,83226832,83320310,83539911,83631246,83739192,83908814,85012146,85147670,85299875,85643441,85982274,86102489,86168361,86616160,86894582,86923713,87203249,87736502,87886310,88147409,88312817,88446804,88546194,88631621,89651105,89719889,90368596,92073860,92192729,92429799,92763329,92899670,93448275,93465981,93630186,93646289,93783192,93920610,93991227,94003793,94206591,94261445,94720310,95335502,95548161,95827889,96661814,96888005,97250694,97293473,97443180,97561289,98039935,98150313,98204942,98861921,98891841,98905800,98949113,99224774,99262281,99452275,99678160,99984372,...,220677636389577780417416079154237986069223451881997401395095969589810366741456261734342347918558763759437183985358157976109468847558017761668726975073024749044040290651483326497808408049303750260724454373216827891650006572527040711251581018117036598546929040648722827397274706745069457763658360655334452948310370762733646391540629856812371469701370451172510617125676258146981417229843551115403900942278596167929048969615544507629625782340856000139423970379186833225293795179860414732831403896377917308318157898540846576513836489374405107750896502791156750477607301000968072057421134264400566857308614718569197452877912263063388069721794734229101500314984824666065710326016404595261304891639684712957236906803283250982699943917379790544979363089391070435554007225711478984151991107951251323968737643446425847873412092478346360854716321921171960327508809415949689853381033563832066001853874500020658794151423322528836055465618181538397231167918777935971540122171545641131350540278652208937699598744501673040711817958092412126351954313385353336293421824335809635426525480890636966600833950863990810675646755363358558398004919794039752066224306189913073154049290178095374389890511478269969749400798493281909089050759794448203879193290010110036814194638030883030183318787771597950241748682606149674346480332215046608433305455722980813445032159011171388632038420898321668995454408972615347677989130174612590090785270727716558848095287787771186996505806921820677586617275548715530073708197732662828937755628794190794288023763030854905884963657254183349118293116109398721220719533755664526092676203620555742025741884037937050728649744339566789013847740987439692573698644378082104261651560192847694248743074455348046054462896494834743198330619272656690341211805174298474536348929831226126248957875810772083413232604248516558811782853040974498835124152053711789249300442263307974435237129448266910404361729436320445791867960346839296987678890814827330387028753738204129496211456447886837188882060140871085859613222871632666921026247781793931636983938896187834339621605948053655336302357305152088978132763869903554489258014660274695895252671082859349399391022704348770838502952939106060802477628002951751968807425953121392319089816741634920278784505024563490991681914876060761961059981345288349568929839858099623578252076784712219707849838843365437458625323094532221762106526632615977823955499273021955613663053687150817321287286047602157297248255477867961337906643052412352095708091878825013124966273284257961326002876226487306879387978896710689542091412939319077342028771008614867633744066452361868984461506180763866426761456438044050408947466635237338688107683491589325420810243036009896783153801048533404310715636750474316196510597539590889010766365488948617615375046387837119779480655661037925814157001055432522944147465955066862671198261115527833491553290746024380539618010025930308094798460599232541103791554168335630313771157116450182241419610362585395704009373258143161411200899311512056508100966626253619919077011395472665778386328672035463579748987643829434435831196513515095598417742174596688682479669633876803720743382317606054799288201653553749971865667337337486480010590556551736478072106262498785466617334945546678705484278498615043465988096465571150967491264824522851266637521901780810085966940918311735294493572856475814643567270884596588826952263155996161111184874669114286468128110126989423358748894313780472000884214175331560703598851207087072355104029624441100470509205793453605370742850157240076150349619995880182925862895376676309060878166012104236045462564495497774357715513554443138523167938556165262611732684779043025538178380836259596293574068089901838130911980910515674280082987226927038836011813133262741090015277369640852726570252}
23576 163182699749312479420163793706636543218180168581940083876553577089682377575297: {306319,329938,447583,471340,518386,565608,612586,636309,800938,870943,1036684,1319528,1484469,1575103,1741738,1767225,1856263,1885040,2023666,2120670,2166508,2262048,2417719,2449928,2473905,2544804,2638832,2756169,2945125,2968686,3534150,3769760,3859084,3886905,4146032,4240980,4523712,4664286,4741546,5089176,5725323,5771465,5837672,5955538,6567381,6591919,6711465,6925758,7143583,7158896,7352938,8053758,8106223,8244950,8406993,8517703,8654719,8791663,9475303,9893940,10008325,10020919,10102521,10239465,10553536,10603468,10922096,10944705,11246506,11472392,11674352,11778500,11872728,12009990,12056719,12261586,12287358,12596863,12810656,12906441,12906538,13059705,13090666,13133646,13182706,13356819,13722248,13930352,14076319,14134200,14247145,14334033,14411988,15000713,15076480,15437529,15671646,15900975,16119538,16192108,16961040,17064325,17096574,17307946,17538583,17866101,18091776,18215048,18584746,19081170,19513903,19907023,19949266,20353248,20408313,20477190,20491929,20494066,20560783,20805465,21112689,21128938,21212743,21429590,21751948,21842336,22192496,22306348,22486738,22770103,22807353,22897404,23209426,23286919,23414284,24021226,24072213,24572628,24573919,24966558,25024305,25191538,25214719,25342663,25385822,25640938,25715508,25910386,26055272,26179084,26269426,26528453,26613561,26692592,27282988,27613546,28150186,28895863,28954066,29021719,29070665,29312181,29774305,29934826,30029166,30613700,30824746,30849141,31523719,31648063,32020663,32144719,32763919,34010965,34119823,34437557,34544938,34733263,34884798,35525548,35729166,35743589,35866738,36265460,36306538,36414833,36736440,37206632,37448146,37531945,37897790,38355465,38376103,38736823,38762026,38936938,38976943,39185536,39810538,40072306,40695473,40813158,40912496,41117241,41328495,41857461,42421738,42897343,43115626,43132423,43484503,43518552,43759001,44083728,44186719,44769919,44886343,45038334,45331084,45477348,45930919,46003105,46026558,46483666,46569706,46624063,46956268,47858386,48150705,48415609,48801919,48958371,49057906,49143466,49196510,49594194,50502919,50615743,51062270,51360752,51515743,51617288,51710789,51807800,52021190,52354828,52712373,53039505,53052398,53401066,53745583,54139700,54408919,54849703,55008466,55043308,55100465,55203726,55399063,55946623,56165143,56351073,56575472,56710183,57198706,57534706,57578503,57780846,57786538,57954346,58038226,58069449,58136390,58226719,58283775,58764919,59035812,59043538,59194183,59462837,61052873,61274724,61297066,61625102,62169360,62425428,62752825,62901103,63207538,63647406,64130284,64200946,64618456,64669783,64967640,64979743,65439466,65486773,65494903,65521906,65700463,65725228,66110719,66120558,66313984,66506961,66674386,66875102,67029583,67167346,67638919,67987666,68124008,68869262,68940201,69061305,69133426,69150919,69219848,69298816,69436684,69623506,69651319,69751183,69756465,69763668,69940530,70194538,70702473,70745863,70846186,71042863,71634919,71821738,72126319,72695763,72823478,72875986,72946100,73088595,73271793,73597448,73665392,73686703,73924905,74053694,74073919,74089066,74406896,74603232,74714284,74805049,75298546,75303390,75515719,75558041,75700906,75789140,76373023,76504426,76562743,76639509,77788903,77866738,77872329,77961168,78391468,78426346,78714950,78853232,79304146,79737141,79743919,79836223,79963084,80169465,80259538,80296663,80323616,80663719,80755303,80815786,81236072,81291946,82029919,82060293,82400746,82797129,82873566,82874986,83290423,83469343,83707758,83737183,83826319,83928636,84141388,84327105,84946910,85237546,85514096,85786738,85928529,85943983,86178538,86223628,86542575,86726386,86814103,86960938,87218390,87228325,87246463,87332719,87510566,87535320,87659236,87706314,88035860,88105783,88191319,88365226,88709886,89453866,89531506,89686738,89863905,89886919,89948912,89970943,90364068,90946968,91390581,91776106,92099432,92312080,92405001,92784919,92959084,93165605,93191719,93371008,93677503,94457940,94481383,94702305,95278063,95515663,95535860,95536684,95673703,95854832,95996146,96034265,96079233,96203358,96677553,96774105,97160719,97470463,97690825,97746538,98107084,98239783,98384660,98477235,98500766,98697919,98774023,99133228,99153463,99361209,99639538,99669512,99756823,...,331016454584366670626124118731356979103835177822996102092643954384715550112184392601513521877838145639155775978037236964164203271337026642503090462609537123566060435977224989746712612073955625391086681559825241837475009858790561066877371527175554897820393560973084241095912060117604186645487540983001679422465556144100469587310944785218557204552055676758765925688514387220472125844765326673105851413417894251893573454423316761444438673511284000209135955568780249837940692769790622099247105844566875962477236847811269864770754734061607661626344754186735125716410951501452108086131701396600850285962922077853796179316868394595082104582692101343652250472477236999098565489024606892891957337459527069435855360204924876474049915876069685817469044634086605653331010838567218476227986661926876985953106465169638771810118138717519541282074482881757940491263214123924534780071550345748099002780811750030988191227134983793254083198427272307595846751878166903957310183257318461697025810417978313406549398116752509561067726937138618189527931470078030004440132736503714453139788221335955449901250926295986216013470133045037837597007379691059628099336459284869609731073935267143061584835767217404954624101197739922863633576139691672305818789935015165055221291957046324545274978181657396925362623023909224511519720498322569912649958183584471220167548238516757082948057631347482503493181613458923021516983695261918885136177906091574838272142931681656780494758710382731016379925913323073295110562296598994243406633443191286191432035644546282358827445485881275023677439674164098081831079300633496789139014305430833613038612826056905576092974616509350183520771611481159538860547966567123156392477340289271541373114611683022069081694344742252114797495928908985035511817707761447711804523394746839189373436813716158125119848906372774838217674279561461748252686228080567683873950663394961961652855694172400365606542594154480668687801940520258945481518336222240995580543130607306194244317184671830255783323090211306628789419834307449000381539371672690897455475908344281751509432408922080483004453535957728133467199145804855331733887021990412043842879006624289024099086534056523156257754429408659091203716442004427627953211138929682088478634725112452380418176757536845236487522872314091142941589972017932524353394759787149435367378115177068329561774758265048156187937984641798332643159789948923966735933248909532933420494580530726225981930929071403235945872383216801942006859964578618528143562137818237519687449409926386941989004314339730960319081968345066034313137119408978616013043156512922301450616099678542803476692259271145799640142184657066075613421199952856008032161525237383988131215364554014845174730701572800106466073455125711474294765896309386333516149548233422926423062569581755679669220983491556888721235501583148784416221198932600294006797391673291750237329936119036570809427015038895462142197690898848811655687331252503445470656735674675273362129415543878093556014059887214742116801348967268084762151449939380429878615517093208998667579493008053195369623481465744151653746794770272643397626613261895033023719504450815205581115073476409082198932302480330624957798501006006229720015885834827604717108159393748178199926002418320018058226417747922565198982144698356726451236897236784276899956282852671215128950411377467602941740359284713721965350906326894883240428394733994241666777312003671429702192165190484135038123341470670708001326321262997341055398276810630608532656044436661650705763808690180408056114275235860114225524429993820274388794343065014463591317249018156354068193846743246661536573270331664707784751907834247893917599027168564538307267571254389394440361102134852757196367971365773511420124480840390558254017719699894111635022916054461279089855378}
23577 163760988319141783867364803541359623025966341521903537382554717045716497719739: {494907,589175,707010,754144,777579,848412,918879,1154587,1201407,1295855,1555026,1649410,1979292,2143687,2308978,2356300,2612607,2708135,2827560,3016064,3035499,3062410,3181005,3249762,3298540,3393072,3627778,3674892,3817206,3958248,4403663,4453029,4712200,4823855,5107963,5182540,5301225,5654640,5788626,6031616,6219048,6264034,6361470,6785568,6996429,7112319,7297090,7508303,7633764,7959562,8497579,8756508,8933307,8948620,9202967,9234344,9556834,10038343,10215058,10388637,10738344,11029407,11209324,11600783,12006967,12080637,12189058,12367425,12447899,13191920,13254335,13470028,13652620,14076322,14340490,14592940,14723125,14840910,15206194,15830304,15905202,15938167,16013320,16383144,16869759,16993714,17152810,17208588,17412940,17511528,17667750,17809092,18014985,18392379,18431037,18845600,18965986,19112044,19215984,19359807,19418434,19635999,19700469,19774059,20240135,20465887,20583372,20895528,21201300,21617982,22614720,22768810,22795432,22798363,23356018,23507469,23821468,24122368,24179307,24288162,25441560,25644861,25961919,26964823,27137664,27189935,27211084,27233023,27302920,27322572,27611243,27740620,27877119,27882935,28150252,28621755,29267855,29923899,30409804,30529872,30715785,30741099,31693407,32096284,32144385,32395402,32555803,32569090,32627922,32723855,32763504,33288744,33365740,33459522,33730107,34103735,34287344,34346106,34634578,34814139,35121426,35484748,35798434,36031839,36858942,37383727,37449837,37787307,38078733,38267125,38380463,38461407,38573262,38865579,39082908,39268626,39404139,40038888,40279103,40924482,41132188,41420319,41987074,42225279,42983963,43431099,44406935,44902239,44940658,45041687,45043749,45165127,45331825,45920550,46237119,46500802,46508290,46513064,47638888,48732778,48981920,49503538,50450314,50640623,51140620,51817407,52327197,52680274,53119399,53288322,53593749,53800107,54316522,54398190,54417544,54459807,54822988,55104660,55809948,56172219,56539003,56541149,56663855,56846685,57703067,58024736,58143039,58189567,58277483,58405407,58637839,58695335,58778304,59608507,59715807,59802479,60051112,60108459,60547679,60567367,60636464,61219737,61326683,61368744,61569679,62823202,63632607,64200940,64397767,64457218,64521610,64673439,64759750,65106034,65277828,65443535,66125592,67557501,67674625,67996626,68216022,68470258,68676263,68804135,68935823,68996578,69039837,69725499,69854559,70283164,70434402,70719340,71081563,71289898,71787579,73586859,73604968,73715199,73786967,73794765,74033842,74391291,74824834,75134764,75879143,76593405,77041128,77425932,77711700,78031785,78282683,78532242,78705298,78714416,79578597,79805986,80101599,80162855,80587003,80773070,81209550,81660779,81699632,82061239,82156535,82512699,82564962,82805589,82892480,83233904,83872978,84863208,85155010,85300882,85558103,85798059,86302059,86469874,86524810,86623520,86671269,86679807,86795855,86931519,87057339,87204585,87210823,88160744,88388818,88553718,88565307,88675948,88961183,90042047,90322498,91182625,91466747,91912086,91920268,91945599,91996810,92081740,92398247,92437653,92868727,93008620,93018224,93254040,93392855,93638142,94269964,94497223,94608319,94736425,94753223,94811307,95471109,96195426,96301419,96927684,97117474,97451460,97569787,97695724,97989335,98159199,98219483,98282859,98566540,98587842,99164962,99180837,99233266,99384682,99470976,99953855,...,496524681876550005939186178097035468655752766734494153138965931577073325168276588902270282816757218458733663967055855446246304907005539963754635693914305685349090653965837484620068918110933438086630022339737862756212514788185841600316057290763332346730590341459626361643868090176406279968231311474502519133698334216150704380966417177827835806828083515138148888532771580830708188767147990009658777120126841377840360181634975142166658010266926000313703933353170374756911039154685933148870658766850313943715855271716904797156132101092411492439517131280102688574616427252178162129197552094901275428944383116780694268975302591892623156874038152015478375708715855498647848233536910339337936006189290604153783040307387314711074873814104528726203566951129908479996516257850827714341979992890315478929659697754458157715177208076279311923111724322636910736894821185886802170107325518622148504171217625046482286840702475689881124797640908461393770127817250355935965274885977692545538715626967470109824097175128764341601590405707927284291897205117045006660199104755571679709682332003933174851876389443979324020205199567556756395511069536589442149004688927304414596610902900714592377253650826107431936151796609884295450364209537508458728184902522747582831937935569486817912467272486095388043934535863836767279580747483854868974937275376706830251322357775135624422086447021223755239772420188384532275475542892878327704266859137362257408214397522485170742138065574096524569888869984609942665843444898491365109950164786929287148053466819423538241168228821912535516159511246147122746618950950245183708521458146250419557919239085358364139461924764025275281157417221739308290821949850684734588716010433907312059671917524533103622541517113378172196243893363477553267726561642171567706785092120258784060155220574237187679773359559162257326511419342192622379029342120851525810925995092442942479283541258600548409813891231721003031702910780388418222277504333361493370814695910959291366475777007745383674984635316959943184129751461173500572309057509036346183213862516422627264148613383120724506680303936592200200798718707282997600830532985618065764318509936433536148629801084784734386631644112988636805574663006641441929816708394523132717952087668678570627265136305267854731284308471136714412384958026898786530092139680724153051067172765602494342662137397572234281906976962697498964739684923385950103899873364299400130741870796089338972896393607104853918808574825202913010289946867927792215343206727356279531174114889580412983506471509596440478622952517599051469705679113467924019564734769383452175924149517814205215038388906718699460213276985599113420131799929284012048242287856075982196823046831022267762096052359200159699110182688567211442148844464079500274224322350134389634593854372633519503831475237335333081853252374723176624331798398900441010196087509937625355994904178554856214140522558343193213296536348273217483530996878755168205985103512012910043194123315817140334021089830822113175202023450902127143227174909070644817923275639813498001369239512079793054435222198616227480620192155408965096439919892842549535579256676222808371672610214613623298398453720495937436697751509009344580023828752241407075662239090622267299889003627480027087339626621883847798473217047535089676855345855176415349934424279006822693425617066201404412610538927070582948026359490342324860642592100991362500165968005507144553288247785726202557185012206006062001989481894496011583097415215945912798984066654992476058645713035270612084171412853790171338286644990730411583191514597521695386975873527234531102290770114869992304859905497497061677127861751371840876398540752846807460901356881584091660541653202279135794551957048660267130186721260585837381026579549841167452534374081691918634783067}
23578 164341312880507609235968275847519747109345254722159541736679326906938022126670: {259237,400537,612638,659876,682921,895166,942680,965017,1036772,1060515,1105957,1131216,1225172,1272618,1601876,1741886,2073368,2332539,2474115,2639056,2945375,2968938,3071557,3150206,3463467,3483476,3534450,3712526,3770080,4047332,4123175,4188421,4241340,4333016,4524096,4593615,4835438,4874643,4899856,4947810,5089608,5277664,5441667,5512338,5578021,5725809,5855077,5890250,5937372,5993497,6478175,6546457,7068300,7539520,7718168,7773810,8080051,8292064,8481960,8682939,9020521,9047424,9328572,9396051,9483092,9542205,9703621,10178352,10656937,10945635,11064421,11185775,11335717,11450646,11542930,11675344,11911076,11939343,12012697,12822697,13134762,13183838,13422930,13851516,14011655,14166937,14287166,14317792,14335251,14702617,14705876,15322587,15503977,16036777,16107516,16212446,16435621,16489900,16813986,16837535,17035406,17065775,17309438,17363737,17583326,18241175,18283587,18420121,18815077,18950606,19078021,19471897,19787880,19946003,19996057,20016650,20041838,20126917,20205042,20478930,21107072,21114483,21206936,21301417,21510735,21766175,21844192,21889410,22261365,22493012,22809291,22944784,23348704,23557000,23745456,23857803,23890055,24019980,24113438,24523172,24574716,24661657,24918121,25193726,25490571,25621312,25729215,25812882,25813076,26119410,26181332,26267292,26365412,26450857,26501625,26578117,26713638,27444496,27466921,27860704,28152638,28268400,28448979,28494290,28668066,28823976,28982377,29108197,29127651,29359621,29776835,30001426,30152960,30875058,31343292,31801950,32239076,32384216,32426973,32849317,33096421,33343237,33922080,34013855,34128650,34153215,34193148,34615892,34675775,35034027,35077166,35185177,35187815,35732202,36183552,36430096,36432243,36525637,37132057,37169492,38012255,38162340,39027806,39420037,39814046,39898532,40120355,40698931,40706496,40732777,40816626,40954380,40983858,40988132,41121566,41610930,41684027,41707175,41800357,42225378,42257876,42425486,42744421,42859180,43503896,43684672,44355935,44384992,44612696,44851717,44973476,45316837,45540206,45614706,45794808,46418852,46573838,46828568,47615351,47739817,48042452,48144426,48419723,48593103,48853635,48941883,49110121,49145256,49147838,49904677,49933116,50017897,50048610,50189283,50383076,50429438,50685326,50771644,50808421,51281876,51415235,51431016,51519159,51715183,51820772,51951867,52110544,52267177,52358168,52538852,52544723,52682139,53056906,53227122,53385184,53697651,54111563,54565976,55227092,55288413,55587097,56300372,56352421,56896921,57218447,57791726,57859893,57908132,57980521,58043438,58141330,58519621,58624362,58902939,59271337,59548610,59869652,59912857,60058332,60658021,61227400,61386723,61649492,61698282,62980611,63047438,63296126,63925775,64041326,64123417,64289438,64404347,64641637,65364121,65527838,65569897,66083077,67408921,67410987,67713157,67915621,68021930,68239646,68528735,68875114,68880825,69089876,69424921,69466526,69624937,69751203,69762435,69769596,70719877,71051096,71214697,71458332,71487178,71609257,71733476,72198937,72530920,72613076,72829666,72883621,73099167,73472880,74255307,74413264,74896292,75063890,75675471,75795580,75968677,76444057,76710930,76752206,77012137,77140651,77393459,77473646,77524052,77873876,77953886,78327577,78371072,78420997,78607621,79020411,79621076,79932483,80144612,80251175,80733097,81390946,81474783,81597285,81626316,81824992,82234482,82279621,82656990,82730521,83605643,83714922,84338857,84693097,84843476,85222297,85794686,86231252,86264846,86533957,86969006,87037104,87518002,87853955,88167456,88373438,88399175,88405967,88428421,89539838,89772686,90076668,90662168,90954696,91204777,91861838,92006210,92053116,92967332,93139412,93248126,93418021,93912536,93918455,94234803,95716772,96051817,96301410,96685827,96782415,96831218,96990121,97139625,97603838,97659051,97916742,97994917,98115812,98286932,98393020,99188388,99441577,99667621,99817957,...,662032909168733341252248237462713958207670355645992204185287908769431100224368785203027043755676291278311551956074473928328406542674053285006180925219074247132120871954449979493425224147911250782173363119650483674950019717581122133754743054351109795640787121946168482191824120235208373290975081966003358844931112288200939174621889570437114409104111353517531851377028774440944251689530653346211702826835788503787146908846633522888877347022568000418271911137560499675881385539581244198494211689133751924954473695622539729541509468123215323252689508373470251432821903002904216172263402793201700571925844155707592358633736789190164209165384202687304500944954473998197130978049213785783914674919054138871710720409849752948099831752139371634938089268173211306662021677134436952455973323853753971906212930339277543620236277435039082564148965763515880982526428247849069560143100691496198005561623500061976382454269967586508166396854544615191693503756333807914620366514636923394051620835956626813098796233505019122135453874277236379055862940156060008880265473007428906279576442671910899802501852591972432026940266090075675194014759382119256198672918569739219462147870534286123169671534434809909248202395479845727267152279383344611637579870030330110442583914092649090549956363314793850725246047818449023039440996645139825299916367168942440335096477033514165896115262694965006986363226917846043033967390523837770272355812183149676544285863363313560989517420765462032759851826646146590221124593197988486813266886382572382864071289092564717654890971762550047354879348328196163662158601266993578278028610861667226077225652113811152185949233018700367041543222962319077721095933134246312784954680578543082746229223366044138163388689484504229594991857817970071023635415522895423609046789493678378746873627432316250239697812745549676435348559122923496505372456161135367747901326789923923305711388344800731213085188308961337375603881040517890963036672444481991161086261214612388488634369343660511566646180422613257578839668614898000763078743345381794910951816688563503018864817844160966008907071915456266934398291609710663467774043980824087685758013248578048198173068113046312515508858817318182407432884008855255906422277859364176957269450224904760836353515073690472975045744628182285883179944035865048706789519574298870734756230354136659123549516530096312375875969283596665286319579897847933471866497819065866840989161061452451963861858142806471891744766433603884013719929157237056287124275636475039374898819852773883978008628679461920638163936690132068626274238817957232026086313025844602901232199357085606953384518542291599280284369314132151226842399905712016064323050474767976262430729108029690349461403145600212932146910251422948589531792618772667032299096466845852846125139163511359338441966983113777442471003166297568832442397865200588013594783346583500474659872238073141618854030077790924284395381797697623311374662505006890941313471349350546724258831087756187112028119774429484233602697934536169524302899878760859757231034186417997335158986016106390739246962931488303307493589540545286795253226523790066047439008901630411162230146952818164397864604960661249915597002012012459440031771669655209434216318787496356399852004836640036116452835495845130397964289396713452902473794473568553799912565705342430257900822754935205883480718569427443930701812653789766480856789467988483333554624007342859404384330380968270076246682941341416002652642525994682110796553621261217065312088873323301411527617380360816112228550471720228451048859987640548777588686130028927182634498036312708136387693486493323073146540663329415569503815668495787835198054337129076614535142508778788880722204269705514392735942731547022840248961680781116508035439399788223270045832108922558179710756}
23579 164923680554814000858433850507806690620959668064489994973569546247605441576864: {824845,918957,989814,1178350,1295965,1342749,1414020,1508288,1531465,1555158,1696824,1814197,1837758,1908927,2002345,2309174,2402814,2591710,2612829,2850397,3110052,3298820,3791389,3958584,4287374,4354345,4453407,4617956,4712600,4725309,4921741,5059165,5204329,5225214,5301675,5416270,5568789,5655120,6032128,6070998,6124820,6362010,6499524,6597080,6753397,6786144,7253157,7255556,7349784,7421715,7508941,7634412,7916496,8026117,8268507,8807326,8835375,8873449,8906058,9203749,9424400,9577117,9647710,10215926,10285669,10365080,10602450,11309280,11577252,11660715,11853865,12063232,12400837,12438096,12528068,12722940,12965581,13571136,13992858,14224638,14594180,14888845,15016606,15257341,15267528,15919124,16995158,17175969,17314395,17513016,17866614,17897240,18351157,18382345,18405934,18468688,18556069,19113668,19702143,19775757,20076686,20134395,20430116,20612375,20777274,21181609,21430749,21476688,22058814,22418648,23201566,24013934,24161274,24318669,24378116,24734850,24895798,25220979,25413229,25553109,25964157,26374989,26383840,26508670,26940056,27305240,27952201,28116265,28127341,28152644,28336189,28425909,28680980,29185880,29446250,29681820,30024975,30062757,30307563,30412388,30653965,30718395,31660608,31810404,31876334,31885429,32026640,32266345,32631469,32726665,32766288,32834115,32956765,33739518,33987428,34305620,34417176,34825880,35023056,35310517,35335500,35514649,35618184,36029970,36114889,36170157,36784758,36862074,37691200,37790589,37931972,38065909,38224088,38431968,38719323,38719614,38836868,38895637,39036109,39179115,39271998,39400938,39498457,39548118,40070457,40298845,40480270,40931774,40974997,41076709,41166744,41791056,42228957,42402600,42741435,43002099,43235964,43269865,44809957,45002139,45017821,45229440,45358729,45537620,45590864,45596726,45813397,46312587,46461865,46712036,47014938,47642936,47702925,47745229,48244736,48358614,48576324,49873165,50340709,50644957,50799229,50883120,51154741,51192975,51235165,51289722,51923838,52180837,52337029,52615749,52822345,53573975,53598303,53929646,54211597,54275328,54379870,54422168,54466046,54605840,54645144,55222486,55481240,55754238,55765870,56216845,56300504,57243510,58023565,58535710,58541709,58781629,58790941,59721069,59847798,59848009,60053065,60819608,61059744,61224939,61431570,61475787,61482198,61682349,61839877,62169709,62416395,62978845,63338067,63386814,63464555,63638229,64102345,64192568,64288770,64723381,64775965,64790804,64838629,65090629,65111606,65138180,65255844,65447710,65527008,65673565,65900197,65935657,66577488,66731480,66919044,67460214,68207470,68310309,68422059,68574688,68692212,68873389,69033865,69269156,69448357,69628278,69860757,70036189,70242852,70375465,70675657,70967677,70969496,71596868,72042589,72063678,72216639,72385165,72476989,73412557,73717884,73721757,74767454,74837065,74864149,74899674,75072915,75574614,75644157,75885637,75983701,76027989,76157466,76534250,76673689,76760926,76922814,77061865,77146524,77731158,78165816,78537252,78808278,79329397,79585359,79840683,80077776,80487829,80558206,81076237,81469609,81848964,82173469,82264376,82840638,83302909,83974148,84428941,84450558,84493789,84806101,85967926,86362345,86687589,86862198,87065157,87211995,87936543,88478149,88813870,89322915,89666845,89731669,89804478,89881316,90083374,90087498,90330254,90663650,90766345,90835369,91620949,91652341,91841100,92474238,92547423,93001604,93016580,93026128,93620365,93662437,94571157,94744475,94944189,95096437,95277776,95546137,96061989,96325789,96434157,96674941,96905065,97342345,97465556,97963840,98172589,98291757,99007076,99468037,99526345,...,993049363753100011878372356194070937311505533468988306277931863154146650336553177804540565633514436917467327934111710892492609814011079927509271387828611370698181307931674969240137836221866876173260044679475725512425029576371683200632114581526664693461180682919252723287736180352812559936462622949005038267396668432301408761932834355655671613656167030276297777065543161661416377534295980019317554240253682755680720363269950284333316020533852000627407866706340749513822078309371866297741317533700627887431710543433809594312264202184822984879034262560205377149232854504356324258395104189802550857888766233561388537950605183785246313748076304030956751417431710997295696467073820678675872012378581208307566080614774629422149747628209057452407133902259816959993032515701655428683959985780630957859319395508916315430354416152558623846223448645273821473789642371773604340214651037244297008342435250092964573681404951379762249595281816922787540255634500711871930549771955385091077431253934940219648194350257528683203180811415854568583794410234090013320398209511143359419364664007866349703752778887958648040410399135113512791022139073178884298009377854608829193221805801429184754507301652214863872303593219768590900728419075016917456369805045495165663875871138973635824934544972190776087869071727673534559161494967709737949874550753413660502644715550271248844172894042447510479544840376769064550951085785756655408533718274724514816428795044970341484276131148193049139777739969219885331686889796982730219900329573858574296106933638847076482336457643825071032319022492294245493237901900490367417042916292500839115838478170716728278923849528050550562314834443478616581643899701369469177432020867814624119343835049066207245083034226756344392487786726955106535453123284343135413570184240517568120310441148474375359546719118324514653022838684385244758058684241703051621851990184885884958567082517201096819627782463442006063405821560776836444555008666722986741629391821918582732951554015490767349969270633919886368259502922347001144618115018072692366427725032845254528297226766241449013360607873184400401597437414565995201661065971236131528637019872867072297259602169569468773263288225977273611149326013282883859633416789046265435904175337357141254530272610535709462568616942273428824769916053797573060184279361448306102134345531204988685324274795144468563813953925394997929479369846771900207799746728598800261483741592178677945792787214209707837617149650405826020579893735855584430686413454712559062348229779160825967012943019192880957245905035198102939411358226935848039129469538766904351848299035628410430076777813437398920426553971198226840263599858568024096484575712151964393646093662044535524192104718400319398220365377134422884297688928159000548448644700268779269187708745267039007662950474670666163706504749446353248663596797800882020392175019875250711989808357109712428281045116686386426593072696546434967061993757510336411970207024025820086388246631634280668042179661644226350404046901804254286454349818141289635846551279626996002738479024159586108870444397232454961240384310817930192879839785685099071158513352445616743345220429227246596796907440991874873395503018018689160047657504482814151324478181244534599778007254960054174679253243767695596946434095070179353710691710352830699868848558013645386851234132402808825221077854141165896052718980684649721285184201982725000331936011014289106576495571452405114370024412012124003978963788992023166194830431891825597968133309984952117291426070541224168342825707580342676573289981460823166383029195043390773951747054469062204581540229739984609719810994994123354255723502743681752797081505693614921802713763168183321083306404558271589103914097320534260373442521171674762053159099682334905068748163383837269566134}
23580 165508098488211352137403417093320926102701839650240071674868285637567818024466: {306371,400571,447659,518474,541811,730019,801074,965099,1012091,1225276,1319752,1365842,1484721,1669139,1767525,1790332,1885360,1930034,1950251,2073544,2121030,2211914,2262432,2332737,2450344,2511611,2545236,2756637,3203752,3463761,3483772,3491219,3604221,3816971,3887565,4123525,4146736,4235219,4665078,4930859,4948230,5208611,5278112,5624699,5772445,5890750,5937876,6143114,6270659,6300412,6431061,6593051,6926934,6966952,7068900,7236659,7425052,7540160,7656025,7837821,8094664,8124405,8199131,8246350,8376842,8482680,8666032,8793179,8884451,9048192,9069445,9106497,9187230,9543015,9670876,9749286,9749939,9799712,9895620,10179216,10385819,10555328,10703171,10883334,11024676,11156042,11451618,11517419,11710154,11743139,11780500,11874744,11986994,12013739,12058811,12464099,12956350,12958571,13092914,13093259,13210989,13272731,13359087,13496891,13944611,14136600,14168171,14212859,14471565,14748491,15079040,15104939,15323889,15416411,15436336,15547620,15660085,15903675,16160102,16215539,16437059,16584128,16614131,16963920,17365878,17541659,17629811,18041042,18094848,18158051,18242725,18465659,18657144,18792102,18860579,18966184,19079699,19084410,19386131,19407242,19517339,19604771,19616317,19898905,19997819,20041451,20356704,20651459,20989287,21042779,21216491,21303299,21313874,21336957,21866771,21891270,22128842,22371550,22524909,22671434,22774139,22860371,22901292,23085860,23248019,23350688,23420099,23572549,23635019,23822152,23878686,23892085,24025394,24064259,24663851,25492737,25537645,25645394,26240939,26269524,26367676,26799921,26845860,27131171,27511619,27608901,27638291,27703032,28023310,28333874,28480931,28574332,28635584,28670502,28733099,28901051,28984979,29026931,29110811,29404139,29405234,29411752,30115029,30472645,30645174,31007954,31165911,31238939,31529411,31612331,31736651,32026451,32073554,32109179,32215032,32424892,32522339,32852291,32871242,32893499,32979800,33088221,33446077,33627972,33675070,34003091,34070812,34126019,34131550,34207931,34494371,34618876,34727474,34802349,34821251,35166652,35190805,35554859,35851225,35920691,36020901,36241911,36482350,36567174,36569459,36840242,37102275,37175819,37343697,37377539,37619339,37630154,37901212,38015485,38021699,38156042,38383139,38743931,38943794,39575760,39663011,39763005,39892006,39992114,40033300,40083676,40253834,40410084,40538171,40776179,40957860,41330411,41687569,41804219,41843651,42214144,42228966,42413872,42484285,42602834,42748379,42882025,43021470,43022891,43218731,43375259,43492571,43532350,43688384,43778820,44169375,44389571,44522730,44739419,44855891,44894699,44986024,45088619,45359771,45618582,45889568,46286459,46632779,46697408,47093531,47114000,47414965,47490912,47619397,47715606,47780110,47782499,47814501,48039960,48226876,48316571,48546085,48887051,49046344,49149432,49152659,49262941,49323314,49569251,49836242,50387452,50609277,50625299,50700491,50981142,51038459,51150971,51242624,51263411,51458430,51525491,51600299,51625764,51626152,51936539,52197611,52238820,52362664,52534584,52730824,52901714,53003250,53089739,53156234,53217157,53427276,53608019,53755811,54044955,54116161,54161579,54860171,54888992,54933539,54933842,55153451,55177137,55293111,55628939,55721408,55957331,56066651,56168497,56248691,56305276,56503211,56536800,56897958,56922025,56938619,56988580,57223309,57336132,57647952,57964754,58022099,58079421,58216394,58255302,58390045,58719242,58776251,58847891,58907997,59101407,59277059,59322177,59553670,59740691,60002852,60273971,60305920,60663899,60720405,60911531,61194059,61397661,61750116,62098309,62389091,62686584,63603900,63950029,64129691,64478152,64682459,64768432,64853946,64889219,64992491,65061299,65576339,65698634,66123731,66192011,66192842,66686474,67246259,67449419,67621801,67719851,67844160,67956059,68027710,68257300,68306430,68386296,68395089,68729411,69164651,69231784,69351550,69565211,69665171,69731771,70068054,70130699,70154332,70370354,70375630,70522407,70561571,70759979,70826051,71221811,71254739,71464404,71649251,71981329,72042611,72206171,72367104,72434819,72537921,72630491,72860192,72864486,73051274,73410299,73863059,73992131,74185499,74264114,74338984,74539259,74635571,74827979,75211931,75499139,76008131,76024510,76166771,76324680,76451819,76934583,77051459,77885757,78055612,78366731,78646739,78739931,78840074,79081019,79452011,79544579,79628092,79729499,79797064,80037059,80240710,80374451,80466299,80680331,80741411,80771939,80894469,80988505,81046331,81397862,81411179,81412992,81422725,81465554,81569805,81633252,81699069,81908760,81967716,81976264,82243132,82318259,82468739,82833729,83221860,83368054,83414350,83600714,83631357,83635619,83648805,83992211,84347651,84450756,84515752,84731411,84850972,84996299,85488842,85718360,85757891,85865265,85962011,86572019,86586445,86832371,87007792,87369344,87609539,87803565,88209971,88711870,88769984,89033339,89225392,89496085,89703434,89771697,89906051,89946952,89962091,90046091,90576419,90633674,90993059,91080412,91229412,91380299,91464997,91589616,91655939,91793459,92122691,92147355,92223297,92723291,92804891,92837704,93147676,93428099,93441601,93657136,93697739,93939731,94073891,94234619,94501859,94874651,94954331,95080221,95139971,95230702,95298779,95479634,95694539,95931131,95940229,96084904,96288852,96433155,96532811,96610979,96839446,97182011,97186206,97491851,97543379,97667409,97707270,97883766,97928819,98159219,98171565,98220242,98290512,98295676,98567219,98643491,98795819,98806669,99225851,99477731,99678659,99703739,99809354,99829019,99866232,...,1489574045629650017817558534291106405967258300203482459416897794731219975504829766706810848450271655376200991901167566338738914721016619891263907081742917056047271961897512453860206754332800314259890067019213588268637544364557524800948171872289997040191771024378879084931604270529218839904693934423507557401095002648452113142899251533483507420484250545414446665598314742492124566301443970028976331360380524133521080544904925426499974030800778000941111800059511124270733117464057799446611976300550941831147565815150714391468396303277234477318551393840308065723849281756534486387592656284703826286833149350342082806925907775677869470622114456046435127126147566495943544700610731018013808018567871812461349120922161944133224621442313586178610700853389725439989548773552483143025939978670946436788979093263374473145531624228837935769335172967910732210684463557660406510321976555866445512513652875139446860522107427069643374392922725384181310383451751067807895824657933077636616146880902410329472291525386293024804771217123781852875691615351135019980597314266715039129046996011799524555629168331937972060615598702670269186533208609768326447014066781913243789832708702143777131760952478322295808455389829652886351092628612525376184554707568242748495813806708460453737401817458286164131803607591510301838742242451564606924811826130120490753967073325406873266259341063671265719317260565153596826426628678634983112800577412086772224643192567455512226414196722289573709666609953829827997530334695474095329850494360787861444160400458270614723504686465737606548478533738441368239856852850735551125564374438751258673757717256075092418385774292075825843472251665217924872465849552054203766148031301721936179015752573599310867624551340134516588731680090432659803179684926514703120355276360776352180465661722711563039320078677486771979534258026577867137088026362554577432777985277328827437850623775801645229441673695163009095108732341165254666832513000084480112444087732877874099427331023236151024953905950879829552389254383520501716927172527109038549641587549267881792445840149362173520040911809776600602396156121848992802491598956854197292955529809300608445889403254354203159894932338965910416723989019924325789450125183569398153856263006035711881795408915803564193852925413410143237154874080696359590276419042172459153201518296807483027986412192716702845720930888092496894219054770157850311699620092898200392225612388268016918689180821314561756425724475608739030869840603783376646029620182068838593522344668741238950519414528789321435868857552797154409117037340403772058694204308150356527772448553442615645115166720156098380639830956797340260395399787852036144726863568227946590469140493066803286288157077600479097330548065701634326446533392238500822672967050403168903781563117900558511494425712005999245559757124169529872995395196701323030588262529812876067984712535664568642421567675029579639889609044819652450592990636265504617955310536038730129582369947451421002063269492466339525606070352706381429681524727211934453769826919440494004107718536239379163305666595848682441860576466226895289319759678527648606737770028668425115017830643840869895195361161487812310093254527028033740071486256724221226986717271866801899667010882440081262018879865651543395419651142605269030566037565529246049803272837020468080276851198604213237831616781211748844079078471026974581927776302974087500497904016521433659864743357178607671555036618018186005968445683488034749292245647837738396952199964977428175937139105811836252514238561370514014859934972191234749574543792565086160927620581703593306872310344609976914579716492491185031383585254115522629195622258540422382704070644752274981624959606837407383655871145980801390560163781757512143079738649523502357603122245075755904349201}
23581 166094573851681834480158358083269592225375010324907951382663906949516812353496: {23581,777711,1154783,1201611,1531595,1649690,1814351,1837914,1979628,2048763,2144051,2237915,2356700,2591930,2685498,2803283,2828040,2895051,3016576,3062930,3110316,3181545,3317871,3368651,3393648,3628394,3675516,3817854,4004690,4354715,4618348,4805628,5183420,5225658,5700794,5816603,6096083,6220104,6597640,6997617,7082831,7422345,7582778,7875515,7917168,8026799,8574748,8708690,8836125,8874203,8906814,9214671,9235912,9281315,9425200,9450618,9485411,9843482,10118330,10286543,10390401,10408658,10450428,10603350,10832540,11137578,11310240,11318411,12064256,12088595,12141996,12249640,12369525,12565263,12724020,12999048,13194160,13506794,13572288,13780845,13859759,14506314,14511112,14623929,14699568,14725625,14843430,15017882,15268824,15774539,15832992,16052234,16325001,16537014,16595411,16734063,17177427,17565231,17614652,17670750,17746898,17812116,17980491,18031403,18407498,18848800,18868091,19154234,19295420,19434525,19639371,20431852,20571338,20730160,20844383,21204900,21687731,22618560,23154504,23321430,23673563,23707730,24126464,24240153,24801674,24876192,25045691,25056136,25445880,25735283,25931162,26048817,26763083,27061563,27142272,27985716,28188153,28449276,28626615,28857325,29110863,29188360,29315723,29777690,29879939,30033212,30514682,30535056,31838248,31970811,32836905,32959595,32966291,33193263,33241403,33557325,33990316,34007151,34351938,34628790,35026032,35717915,35733228,35794480,35818029,35825999,36038091,36702314,36764690,36811868,36937376,37112138,38227336,38468091,38605571,39362771,39404286,39551514,39692843,40153372,40268790,40531115,40860232,40861283,41224750,41425211,41554548,41730611,42034965,42363218,42500811,42588515,42861498,42915551,42953376,43005753,43273595,43958315,44107851,44117628,44837296,45172883,45817331,45909263,45967571,45967761,46139471,46403132,46511931,47376515,48027868,48110331,48322548,48637338,48756232,49306863,49469700,49791596,50041625,50104595,50441958,50512605,50826458,51106218,51159119,51197325,51928314,52091211,52749978,52767680,53017340,53776643,53880112,54610480,54723525,54850761,55260363,55904402,56232530,56254682,56305288,56418383,56445231,56672378,56851818,57234063,57361960,58319759,58371760,58415691,58892500,59363640,59838009,59853131,59988171,60049950,60125514,60283595,60380751,60455603,60577811,60615126,60824776,61307930,61436790,61663571,62984315,63321216,63343449,63620808,63752668,63770858,63904251,64053280,64068251,64480331,64532205,64532690,65046611,65262938,65298525,65453330,65532576,65668230,65913530,66784095,67297091,67479036,67974856,68427873,68441951,68611240,68834352,69480203,69651760,69822431,70046112,70381595,70621034,70671000,70973771,71029298,71235725,71236368,71573409,71670165,71729231,72059940,72229778,72340314,72466703,73083491,73569516,73724148,73951283,73984971,74754363,74866271,75003565,75382400,75581178,75863944,76131818,76448176,76471713,76680251,76863936,77187645,77438646,77439228,77673736,77791274,77882051,78072218,78358230,78543996,78703583,78801876,78996914,79096236,79352571,79504875,79690223,79734351,80140914,80597690,80960540,81232991,81863548,81949994,82075331,82153418,82333488,82400763,83582112,83870891,84074291,84151283,84457914,84805200,84813359,85321625,85346937,85482870,85694123,86004198,86471928,86539730,86947131,87290939,87324591,87382953,87692915,88078863,88170383,88850377,89330505,89619914,89743283,90004278,90035642,90458880,90686351,90717458,91075240,91181728,91193452,91626794,91942991,92625174,92923730,93424072,93670511,94029876,95177291,95285872,95405850,95490458,95817371,96489472,96647411,96717228,97152648,97280919,97569515,97965011,98525651,98547951,98887343,99289263,99535115,99746330,...,1986098727506200023756744712388141874623011066937976612555863726308293300673106355609081131267028873834934655868223421784985219628022159855018542775657222741396362615863349938480275672443733752346520089358951451024850059152743366401264229163053329386922361365838505446575472360705625119872925245898010076534793336864602817523865668711311343227312334060552595554131086323322832755068591960038635108480507365511361440726539900568666632041067704001254815733412681499027644156618743732595482635067401255774863421086867619188624528404369645969758068525120410754298465709008712648516790208379605101715777532467122777075901210367570492627496152608061913502834863421994591392934147641357351744024757162416615132161229549258844299495256418114904814267804519633919986065031403310857367919971561261915718638791017832630860708832305117247692446897290547642947579284743547208680429302074488594016684870500185929147362809902759524499190563633845575080511269001423743861099543910770182154862507869880439296388700515057366406361622831709137167588820468180026640796419022286718838729328015732699407505557775917296080820798270227025582044278146357768596018755709217658386443611602858369509014603304429727744607186439537181801456838150033834912739610090990331327751742277947271649869089944381552175738143455347069118322989935419475899749101506827321005289431100542497688345788084895020959089680753538129101902171571513310817067436549449029632857590089940682968552262296386098279555479938439770663373779593965460439800659147717148592213867277694152964672915287650142064638044984588490986475803800980734834085832585001678231676956341433456557847699056101101124629668886957233163287799402738938354864041735629248238687670098132414490166068453512688784975573453910213070906246568686270827140368481035136240620882296948750719093438236649029306045677368770489516117368483406103243703980369771769917134165034402193639255564926884012126811643121553672889110017333445973483258783643837165465903108030981534699938541267839772736519005844694002289236230036145384732855450065690509056594453532482898026721215746368800803194874829131990403322131942472263057274039745734144594519204339138937546526576451954547222298652026565767719266833578092530871808350674714282509060545221071418925137233884546857649539832107595146120368558722896612204268691062409977370648549590288937127627907850789995858958739693543800415599493457197600522967483184357355891585574428419415675234299300811652041159787471711168861372826909425118124696459558321651934025886038385761914491810070396205878822716453871696078258939077533808703696598071256820860153555626874797840853107942396453680527199717136048192969151424303928787292187324089071048384209436800638796440730754268845768595377856318001096897289400537558538375417490534078015325900949341332327413009498892706497327193595601764040784350039750501423979616714219424856562090233372772853186145393092869934123987515020672823940414048051640172776493263268561336084359323288452700808093803608508572908699636282579271693102559253992005476958048319172217740888794464909922480768621635860385759679571370198142317026704891233486690440858454493193593814881983749746791006036037378320095315008965628302648956362489069199556014509920108349358506487535391193892868190140358707421383420705661399737697116027290773702468264805617650442155708282331792105437961369299442570368403965450000663872022028578213152991142904810228740048824024248007957927577984046332389660863783651195936266619969904234582852141082448336685651415160685353146579962921646332766058390086781547903494108938124409163080459479969219439621989988246708511447005487363505594163011387229843605427526336366642166612809116543178207828194641068520746885042343349524106318199364669810137496326767674539132268}
23582 166683113841125120228091135035591656316534132304542508308540905871126122060864: {447697,612742,801142,895318,1012177,1036948,1083622,1460038,1602148,1716157,1930198,2024182,2450552,2474535,2558557,2639504,2731684,2756871,2945875,2969442,3338278,3535050,3538081,3580664,3770720,3860068,3887895,3900502,4028247,4147088,4242060,4423828,4524864,4594395,4665474,4900688,4931281,5023222,5090472,5442591,5513274,5726781,5772935,6007035,6317281,6407504,6479275,6927522,6967544,6982438,7208442,7283197,7633942,7696081,7775130,7838487,8081423,8247050,8293472,8470438,8551191,8656957,8793937,9330156,9477757,9861718,9896460,10159777,10417222,10556224,10718435,11249398,11374167,11544890,11781500,11875752,12059857,12286228,12465181,12541318,12600824,12697223,12862122,13063035,13139281,13186102,13360221,13540675,13853868,13933904,14137800,14175927,14214097,14473318,14765223,14850104,15080320,15150781,15177495,15312050,15612987,15675642,15905025,16189328,16248810,16398262,16492700,16706367,16753684,16965360,17332064,17586358,17768902,18096384,18138890,18212994,18374460,19086030,19341752,19498572,19499878,19599424,19791240,20043217,20260191,20358432,20771638,21110656,21406342,21759471,21766668,21924119,22018315,22049352,22265145,22312084,22526823,22776157,22903236,23034838,23293117,23420308,23422177,23486278,23561000,23680081,23749488,23973988,24027478,24078351,24117622,24119275,24805521,24928198,25349437,25539815,25912700,25917142,26185828,26186518,26421978,26506125,26545462,26620347,26718174,26879581,26993782,27133597,27611247,27858467,27889222,28273200,28336342,28425718,28525537,28731351,28777681,28943130,29029537,29496982,30158080,30209878,30647778,30832822,30857007,30872672,31095240,31320170,31343719,31532257,31656637,31807350,32153437,32277457,32320204,32431078,32525281,32874118,32896477,33168256,33228262,33448919,33760081,33927840,34006177,34731756,34742737,34982145,35083318,35259622,35561595,35598781,35752703,36082084,36189696,36316102,36485450,36931318,37202511,37314288,37541515,37584204,37663057,37721158,37932368,38025181,38159398,38168820,38772262,38814484,38867617,38896743,39034678,39209542,39232634,39797810,39826081,39995638,40082902,40713408,41302918,41847517,41978574,42085558,42432982,42487895,42606598,42627748,42661703,42673914,43026877,43733542,43782540,44199037,44257684,44666535,44743100,44782417,44898877,45049818,45342868,45548278,45720742,45772023,45802584,46014835,46171720,46496038,46701376,46840198,47097937,47145098,47270038,47644304,47757372,47784170,48050788,48128518,48359197,49267127,49327702,50191715,50291281,50630077,50985474,51075290,51290788,51527907,51943185,52481878,52539048,52735352,53094781,53221679,53599842,53650081,53691720,54262342,55023238,55053471,55147035,55217802,55276582,55406064,55668207,56046620,56072017,56667748,56961862,57148664,57271168,57341004,57466198,57802102,57969958,58003915,58053862,58221622,58781917,58808278,58810468,58823504,59104081,59106429,59327271,59477999,60034835,60230058,60403185,60945290,61235281,61290348,61837125,62015908,62079697,62239495,62331822,62477878,62605117,62814781,63058822,63224662,63473302,63544827,63955463,64052902,64147108,64218358,64292247,64430064,64849784,65044678,65503471,65704582,65719837,65742484,65786998,65959600,66176442,66232657,66271675,66380951,66892154,67151197,67255944,67350140,67627547,67964519,68006182,68141624,68252038,68263100,68415862,68988742,69171517,69237752,69454948,69604698,69642502,69771997,70333304,70381610,70469281,71109718,71261857,71459281,71702450,71841382,72041802,72483822,72956007,72964700,73134348,73138918,73417681,73615625,73680484,74192977,74204550,74351638,74675197,74687394,74755078,74824123,75238678,75260308,75538657,75577307,75662937,75802424,76030970,76043398,76239687,76312084,76659327,76766278,77487862,77887588,77892471,79120081,79124967,79151520,79326022,79526010,79690835,79768477,79784012,79860817,79984228,80045281,80066600,80167352,80507668,80688637,80780257,80820168,81076342,81419581,81552358,81746063,81915720,82507357,82570279,82660822,83375138,83608438,83687302,83852497,83856603,84348795,84382023,84428288,84457932,84827744,84968570,85005181,85008567,85205668,85277727,85496758,85764050,86042940,86045782,86058397,86437462,86750518,86985142,87064700,87360337,87376768,87557640,88219297,88338750,88779142,89045460,89071057,89478838,89711782,89789398,89972048,89999677,90074925,90177238,90188271,90719542,90922689,91237164,91583137,91779136,91961895,92155185,92572918,92896417,93265558,93394816,93707857,94187062,94228000,94271581,94829930,94981824,95238794,95431212,95560220,95564998,95629002,95656287,96079920,96453752,96633142,96647581,96799035,97092170,97774102,97894407,98092688,98179995,98298864,98305318,98348797,98502345,98525882,98646628,98806717,98870295,99138502,99672484,99714781,...,2979148091259300035635117068582212811934516600406964918833795589462439951009659533413621696900543310752401983802335132677477829442033239782527814163485834112094543923795024907720413508665600628519780134038427176537275088729115049601896343744579994080383542048757758169863208541058437679809387868847015114802190005296904226285798503066967014840968501090828893331196629484984249132602887940057952662720761048267042161089809850852999948061601556001882223600119022248541466234928115598893223952601101883662295131630301428782936792606554468954637102787680616131447698563513068972775185312569407652573666298700684165613851815551355738941244228912092870254252295132991887089401221462036027616037135743624922698241844323888266449242884627172357221401706779450879979097547104966286051879957341892873577958186526748946291063248457675871538670345935821464421368927115320813020643953111732891025027305750278893721044214854139286748785845450768362620766903502135615791649315866155273232293761804820658944583050772586049609542434247563705751383230702270039961194628533430078258093992023599049111258336663875944121231197405340538373066417219536652894028133563826487579665417404287554263521904956644591616910779659305772702185257225050752369109415136485496991627613416920907474803634916572328263607215183020603677484484903129213849623652260240981507934146650813746532518682127342531438634521130307193652853257357269966225601154824173544449286385134911024452828393444579147419333219907659655995060669390948190659700988721575722888320800916541229447009372931475213096957067476882736479713705701471102251128748877502517347515434512150184836771548584151651686944503330435849744931699104108407532296062603443872358031505147198621735249102680269033177463360180865319606359369853029406240710552721552704360931323445423126078640157354973543959068516053155734274176052725109154865555970554657654875701247551603290458883347390326018190217464682330509333665026000168960224888175465755748198854662046472302049907811901759659104778508767041003433854345054218077099283175098535763584891680298724347040081823619553201204792312243697985604983197913708394585911059618601216891778806508708406319789864677931820833447978039848651578900250367138796307712526012071423763590817831607128387705850826820286474309748161392719180552838084344918306403036593614966055972824385433405691441861776184993788438109540315700623399240185796400784451224776536033837378361642629123512851448951217478061739681207566753292059240364137677187044689337482477901038829057578642871737715105594308818234074680807544117388408616300713055544897106885231290230333440312196761279661913594680520790799575704072289453727136455893180938280986133606572576314155200958194661096131403268652893066784477001645345934100806337807563126235801117022988851424011998491119514248339059745990790393402646061176525059625752135969425071329137284843135350059159279779218089639304901185981272531009235910621072077460259164739894902842004126538984932679051212140705412762859363049454423868907539653838880988008215437072478758326611333191697364883721152932453790578639519357055297213475540057336850230035661287681739790390722322975624620186509054056067480142972513448442453973434543733603799334021764880162524037759731303086790839302285210538061132075131058492099606545674040936160553702397208426475663233562423497688158156942053949163855552605948175000995808033042867319729486714357215343110073236036372011936891366976069498584491295675476793904399929954856351874278211623672505028477122741028029719869944382469499149087585130172321855241163407186613744620689219953829159432984982370062767170508231045258391244517080844765408141289504549963249919213674814767311742291961602781120327563515024286159477299047004715206244490151511808698402}
23583 167273725677444399579487437771359128753215376637369936031327589726148862586107: {47162,919113,1201713,1296185,1342977,1555422,1625433,2002685,2144233,2190057,2309566,2403222,2850881,2895297,3036273,3063190,3133081,3299380,3414605,3628702,3675828,3959256,3981133,4097526,4288102,4454163,4475830,4713400,4825085,5007417,5183860,5302575,5370996,5529785,5606566,5656080,5790102,5850753,5957897,6033152,6096601,6125860,6220632,6363090,6635742,6737302,6787296,6805661,6998211,7256788,7351032,7534833,7635708,8009380,8269911,8709430,9236696,9486217,9611256,10366840,10391283,10451316,10473657,10612481,10812663,11025721,11401588,11450913,11603741,11633206,11662695,12192166,12370575,12440208,12451073,12705657,12993841,13195280,13995234,14165662,14726875,14792577,14844690,15165556,15357785,15625833,15695177,15751030,15834336,16053598,16874097,16924033,17149496,17317335,17417380,17672250,17748406,17813628,18429342,18471824,18562630,18642637,18811977,18850400,18901236,18970822,19293183,19686964,19779153,20236660,20573086,20615875,20780802,20817316,20900856,20942105,21206700,21665080,21709977,22275156,22298653,22620480,22636822,22968075,23513463,24128512,24177190,24283992,24373215,24499280,24597393,24739050,25130526,25448040,25998096,26379537,26388320,26653353,27013588,27144576,27208335,27319491,27561690,27719518,27890105,28629045,29012628,29022224,29159537,29247858,29249817,29275385,29399136,29451250,29599453,29686860,29911681,29967485,30035764,30537648,31157457,31337497,31549078,31665984,32104468,32109513,32183821,32390875,32650002,32732285,33074028,33190822,33468126,34354854,34552257,35130462,35229304,35229417,35341500,35493796,35624232,35960982,36041217,36062806,36176433,36814996,37392297,37697600,37736182,38308468,38590840,38869050,38875713,39278742,39279777,39632967,39818193,40077261,40400255,40490673,40863704,41142676,41460320,41688766,41833833,42339817,42409800,42504513,42638577,42671921,43375462,43414695,43445953,44245473,44528297,45102605,45237120,45314817,45971667,46143433,46249233,46309008,46642860,46980255,47347126,47415460,47711025,48252928,48480306,48518105,48646617,49311177,49603348,49752384,49842393,50005081,50091382,50112272,50891760,51470566,51862324,52097634,52624977,52889433,53284685,53526166,54123126,54284544,54474153,54495257,54728175,55322105,55396977,55928875,55971432,56376306,56581737,56678585,56743561,56898552,57239097,57253230,57485377,57714650,58158393,58221726,58376720,58552017,58631446,58814313,58848951,59315261,59555380,59623921,59696715,59759878,59817857,59993457,60063485,60066424,60124353,60460777,60583033,60938753,61029364,61070112,61342457,61541641,61954377,62967861,63128337,63400573,63649473,63676496,63909897,63941622,64010871,64113485,64389281,65600313,65673810,65919190,65932582,66327121,66386526,66429761,66482806,67114650,67574727,67625713,67980632,68014302,68322417,68581113,68703876,69257580,69744057,70052064,70058275,70146433,70260297,70717647,70834685,70905057,71435830,71466456,71588960,71636058,71651998,71676255,71992481,72076182,72192777,72756041,73404628,73513085,73529380,73623736,73874752,73991553,74224276,75028217,76454672,76478211,76612935,76936182,77211142,77519885,78262781,78722817,78725542,78808572,79103028,79385686,79830977,80183885,80306744,80399763,80537580,81062230,81393513,81720464,81722566,82178105,82449500,82534857,82826703,82850422,82914873,83109096,83461222,83878093,84069930,84187675,84397033,84726436,85001622,85177030,85328875,85442793,85701457,85722996,85831102,85906752,86011506,86199297,86547190,86703153,86818685,86954937,87080793,87332433,87916630,88178041,88212417,88215702,88235256,88276217,89674592,90065201,90345087,90345766,91205875,91417935,91634662,91818526,91935142,91935522,92100605,92278942,92422013,92806264,93023862,93035741,93497733,93716817,94075385,94588233,94753030,94777601,94836993,95209953,95390105,96055736,96079353,96220662,96327537,96645096,97274676,97359485,97512464,97567017,97695257,98078801,98534233,98556873,98613726,98680497,98939400,99264663,99583192,99730015,99980285,...,4468722136888950053452675602873319217901774900610447378250693384193659926514489300120432545350814966128602975703502699016216744163049859673791721245228751168141815885692537361580620262998400942779670201057640764805912633093672574402844515616869991120575313073136637254794812811587656519714081803270522672203285007945356339428697754600450522261452751636243339996794944227476373698904331910086928994081141572400563241634714776279499922092402334002823335400178533372812199352392173398339835928901652825493442697445452143174405188909831703431955654181520924197171547845269603459162777968854111478860499448051026248420777723327033608411866343368139305381378442699487830634101832193054041424055703615437384047362766485832399673864326940758535832102560169176319968646320657449429077819936012839310366937279790123419436594872686513807308005518903732196632053390672981219530965929667599336537540958625418340581566322281208930123178768176152543931150355253203423687473973799232909848440642707230988416874576158879074414313651371345558627074846053405059941791942800145117387140988035398573666887504995813916181846796108010807559599625829304979341042200345739731369498126106431331395282857434966887425366169488958659053277885837576128553664122704728245487441420125381361212205452374858492395410822774530905516226727354693820774435478390361472261901219976220619798778023191013797157951781695460790479279886035904949338401732236260316673929577702366536679242590166868721128999829861489483992591004086422285989551483082363584332481201374811844170514059397212819645435601215324104719570558552206653376693123316253776021273151768225277255157322876227477530416754995653774617397548656162611298444093905165808537047257720797932602873654020403549766195040271297979409539054779544109361065829082329056541396985168134689117960236032460315938602774079733601411264079087663732298333955831986482313551871327404935688325021085489027285326197023495764000497539000253440337332263198633622298281993069708453074861717852639488657167763150561505150781517581327115648924762647803645377337520448086520560122735429329801807188468365546978407474796870562591878866589427901825337668209763062609479684797016897731250171967059772977368350375550708194461568789018107135645386226747410692581558776240230429711464622242089078770829257126517377459604554890422449083959236578150108537162792664277490682657164310473550935098860278694601176676837164804050756067542463943685269277173426826217092609521811350129938088860546206515780567034006223716851558243586367964307606572658391463227351112021211316176082612924451069583317345660327846935345500160468295141919492870392020781186199363556108434180590704683839771407421479200409858864471232801437291991644197104902979339600176715502468018901151209506711344689353701675534483277136017997736679271372508589618986185590103969091764787589438628203954137606993705927264703025088738919668827134458957351778971908796513853865931608116190388747109842354263006189808477399018576818211058119144289044574181635803361309480758321482012323155608718137489916999787546047325581729398680685867959279035582945820213310086005275345053491931522609685586083484463436930279763581084101220214458770172663680960151815600405699001032647320243786056639596954630186258953427815807091698112696587738149409818511061404240830553595812639713494850343635246532237235413080923745783328908922262501493712049564300979594230071535823014665109854054558017905337050464104247876736943513215190856599894932284527811417317435508757542715684111542044579804916573704248723631377695258482782861745110779920616931033829930743739149477473555094150755762346567887586866775621267148112211934256824944874878820512222150967613437942404171680491345272536429239215948570507072809366735227267713047603}
23584 167866416606632692507294252104856605250195985959222399878167893094122036058064: {70743,400639,541903,895394,1106239,1225484,1247143,1602284,1790636,2024354,2073896,2167244,2333133,2920076,3204296,3212239,3432314,3464349,3604833,3860396,3910639,4048364,4124225,4594785,4901104,4949070,5117114,5279008,5302039,5443053,5463368,5513742,5856583,5891750,5938884,5995039,6133423,6146289,6432153,6479825,6676556,6713745,6824263,7070100,7076162,7161328,7541440,7657325,7720136,7775790,7801004,8056494,8082109,8294176,8409849,8484120,8685153,8847656,8885983,9049728,9070985,9188790,9330948,9544635,9801376,9862562,9953613,10011725,10046444,10105953,10180944,10795639,10885182,11026548,11453562,11545870,11609743,12014070,12015823,12634562,12815008,12826039,12958550,12960823,13064145,13855044,13935088,13964876,14251985,14416884,14566394,14706463,14840239,15005809,15267884,15392162,15508039,15550260,15641383,15676974,16162846,16494100,16586944,16940876,17102382,17313914,17449809,17587874,17632903,18161239,18288249,18660312,18955514,18956945,19477039,19608223,19723436,19792920,20132239,20319554,20834444,20992851,21112448,21248493,21307063,21436870,21437239,21771725,21957223,22267035,22498796,22748334,22864423,23089780,23563000,23626545,23751504,24080397,24119714,24572456,24608705,24796543,24930362,25082636,25201648,25295825,25394446,25724244,25820383,26021645,26126070,26278562,26372204,26508375,26585239,26622609,26712463,26720442,27081350,27220639,27644013,27707736,27843945,27867808,28275600,28351854,28428194,28456233,28486039,28946636,28990183,29116039,29530446,29700208,30160640,30301562,30354990,30624100,30825641,30859629,31171203,31225974,31351284,31618039,31810050,32114983,32378656,32497620,32796524,32981863,32985400,33352303,33412734,33507368,33766985,33930720,33955233,34214143,34582423,34664128,35172716,35317039,35537804,35755741,36192768,36265785,36277780,36425988,36748920,37042577,37108575,37544705,37626223,37695789,37867783,38172060,38683504,38997144,38999756,39198848,39430903,39582480,40086434,40130585,40148239,40520382,40625023,40716864,41219383,41342535,41543276,41579277,42221312,42638503,42812684,43109239,43518942,43533336,43696039,43848238,43871787,44036630,44098704,44176875,44367245,44397823,44530290,44624168,44747743,45053646,45552314,45806472,46018745,46069676,46586234,46840616,46844354,46972556,47122000,47179039,47323617,47360162,47498976,47753239,47867863,47885585,47947976,48054956,48156702,48235244,48238550,48325639,48975003,49611042,49786233,49856396,50032039,50202189,50698874,50710063,51079630,51428345,51532281,51610063,51825400,51834284,52282039,52371656,52373036,52558121,52695693,52843956,53012250,53090924,53240694,53436348,53759162,53941473,53987564,54094209,54267194,54944023,55222494,55712623,55716934,55778444,56150239,56546400,56586703,56604273,56672684,56851436,57051074,57462702,57555362,57781039,57886260,58059074,58303575,58859239,58918113,58993964,59269325,59483053,60036943,60316160,60419756,60994039,61295556,61665644,61714014,61745344,62004185,62190480,62471263,62533149,62640340,62687438,63064514,63313274,63614700,64306874,64420769,64554914,64640408,64827905,64862156,65050562,65063193,65074063,65509037,65748236,65792954,66102583,66205039,66336512,66456524,66897838,67327303,67520162,67855680,68012354,68743039,69463512,69485474,69645703,69745639,69964290,70166636,70268401,70519244,70840183,71020689,71123190,71197562,71505406,71827663,72164168,72318703,72379392,72632204,72720459,72970900,73100623,73862636,74405022,74444225,74628576,74830481,75083030,75137073,75168408,75326114,75442316,75514423,75583729,75705583,75864736,76050362,76286705,76318796,76337640,77130103,77205849,77413193,77544524,77628968,77735234,77793486,78069356,78146451,78351583,78419084,78445039,78465268,78538423,79595620,79652162,79991276,80165804,80289249,80299039,80758039,81184689,81205481,81426816,81579703,82605836,82666183,83626961,83695034,83957148,84009703,84048769,84171116,84564459,84719623,84865964,84975790,85213196,85255496,85323406,85337023,85347828,85879845,86053754,86561239,86571975,87081583,87135293,87332589,87467084,87565080,87857239,87947169,88264781,88371103,88398074,88428509,88515368,89333070,89486200,89564834,89639817,89797754,89981239,90099636,90685736,91096556,91151023,91441484,91544046,91605168,91755785,91911725,92029670,92343440,92470639,92780345,92992076,93402752,93680396,94013743,94195874,94290196,94540076,95213623,95288608,95514744,95568340,95912433,96004543,96101576,96257036,96553903,96718394,96866239,97332583,97564783,97583057,98104063,98510715,98534254,98655404,98716063,98878785,98898873,99550039,99579789,99724209,...,5958296182518600071270234137164425623869033200813929837667591178924879902019319066827243393801086621504803967604670265354955658884066479565055628326971668224189087847590049815440827017331201257039560268076854353074550177458230099203792687489159988160767084097515516339726417082116875359618775737694030229604380010593808452571597006133934029681937002181657786662393258969968498265205775880115905325441522096534084322179619701705999896123203112003764447200238044497082932469856231197786447905202203767324590263260602857565873585213108937909274205575361232262895397127026137945550370625138815305147332597401368331227703631102711477882488457824185740508504590265983774178802442924072055232074271487249845396483688647776532898485769254344714442803413558901759958195094209932572103759914683785747155916373053497892582126496915351743077340691871642928842737854230641626041287906223465782050054611500557787442088429708278573497571690901536725241533807004271231583298631732310546464587523609641317889166101545172099219084868495127411502766461404540079922389257066860156516187984047198098222516673327751888242462394810681076746132834439073305788056267127652975159330834808575108527043809913289183233821559318611545404370514450101504738218830272970993983255226833841814949607269833144656527214430366041207354968969806258427699247304520481963015868293301627493065037364254685062877269042260614387305706514714539932451202309648347088898572770269822048905656786889158294838666439815319311990121338781896381319401977443151445776641601833082458894018745862950426193914134953765472959427411402942204502257497755005034695030869024300369673543097168303303373889006660871699489863398208216815064592125206887744716063010294397243470498205360538066354926720361730639212718739706058812481421105443105408721862646890846252157280314709947087918137032106311468548352105450218309731111941109315309751402495103206580917766694780652036380434929364661018667330052000337920449776350931511496397709324092944604099815623803519318209557017534082006867708690108436154198566350197071527169783360597448694080163647239106402409584624487395971209966395827416789171822119237202433783557613017416812639579729355863641666895956079697303157800500734277592615425052024142847527181635663214256775411701653640572948619496322785438361105676168689836612806073187229932111945648770866811382883723552369987576876219080631401246798480371592801568902449553072067674756723285258247025702897902434956123479362415133506584118480728275354374089378674964955802077658115157285743475430211188617636468149361615088234776817232601426111089794213770462580460666880624393522559323827189361041581599151408144578907454272911786361876561972267213145152628310401916389322192262806537305786133568954003290691868201612675615126252471602234045977702848023996982239028496678119491981580786805292122353050119251504271938850142658274569686270700118318559558436179278609802371962545062018471821242144154920518329479789805684008253077969865358102424281410825525718726098908847737815079307677761976016430874144957516653222666383394729767442305864907581157279038714110594426951080114673700460071322575363479580781444645951249240373018108112134960285945026896884907946869087467207598668043529760325048075519462606173581678604570421076122264150262116984199213091348081872321107404794416852951326467124846995376316313884107898327711105211896350001991616066085734639458973428714430686220146472072744023873782733952138997168982591350953587808799859909712703748556423247345010056954245482056059439739888764938998298175170260344643710482326814373227489241378439907658318865969964740125534341016462090516782489034161689530816282579009099926499838427349629534623484583923205562240655127030048572318954598094009430412488980303023617396804}
23585 168461193899859456676939700219634679436143107265638441224299726636664407164796: {94324,1343091,1531855,1814659,1838226,2002855,2238295,2403426,2592370,2685954,2709055,2803759,2851123,3036531,3110844,3250866,3369223,3650095,4005370,4288466,4380114,4405159,4619132,4780447,4806444,4825495,5060455,5148471,5701762,5790594,6072546,6126380,6266162,6598760,6755119,6829210,7041151,7257404,7351656,7423605,7606327,7675671,7741699,7918512,7962266,8195052,8270613,8345695,8576204,8837625,8908326,8951660,9426800,9579559,9650170,9751255,10014834,10367720,10605150,10614243,10741992,11059570,11130163,11213132,11312160,11580204,11604727,11663685,11701506,11915794,12066304,12084741,12193202,12251720,12403999,12441264,12452131,12542023,12558055,12726180,12968887,13271484,13474604,13574592,13611322,13783185,13996422,14513576,14702064,14793843,14800999,15069666,15271416,16018760,16327773,16539822,16777603,17180343,17318805,17418860,17456095,18021105,18473392,18951843,18972434,19084855,19222512,19437825,20617625,20733680,20782566,20902632,20947314,21176095,21224962,21500899,21625326,21849591,22051442,22803176,22901826,23088243,23207482,23266412,23325390,23515461,23579527,24244269,24384332,24654295,24741150,24880416,24902146,25411314,25653573,25970871,25987682,26043055,26078503,26381811,26390560,27990468,28123495,28331324,28360879,28433271,28657471,28862225,29318947,29453750,29585154,29689380,30331112,30479331,30715570,31251666,31353295,31390354,31502060,31668672,32042767,32107196,32155305,32755459,32965255,33748194,33848066,34122501,34298992,34461271,34634670,34834760,35344500,35496812,35627256,36179571,36183295,36858684,36943648,37125260,37285274,37395543,37623954,37700800,37802472,37941644,38091669,38280125,38586366,39046147,39189105,39373928,39417843,39558306,40080663,40203367,40441159,40473320,40622025,40985539,40995655,41146172,41231750,41561604,41634632,41801712,41884210,41954479,42413400,42527781,42642291,43330160,43419954,43469527,43965895,44295669,44422255,44550312,44597306,45240960,45273644,45278719,45347225,45452343,45532485,45825199,45936150,46838961,47026926,47692147,47715075,48049231,48257024,48354380,48567984,48746430,48749695,48998560,49194786,49478100,50119101,50261052,50896080,51929095,51996192,52624351,52759074,52776640,53306706,53515855,54027176,54289152,54416670,54570799,54638982,55123380,55439036,55574371,55780210,56499511,56560357,57258090,57587095,58025256,58044448,58319074,58495716,58499634,58550770,58715695,58798272,58902500,59198906,59373720,59823362,59934970,60068695,60071528,60111439,60129651,60294055,60780573,61075296,61855783,62314914,62320495,62674994,63098156,63143647,63331968,64208936,64219026,64367642,64781750,64792855,65278413,65300004,65464570,65466295,65772357,65990167,66054945,66148056,66293527,66363655,66381644,66795435,66936252,67438723,67484455,67580469,67925347,68328471,68329903,68709708,69104514,69723055,69879351,70260924,70266531,70458608,70458834,70597603,70683000,70693831,70840855,70985959,70987592,71040243,71064295,71248464,71921964,71998663,72082434,72125612,72235053,72352866,72357825,72495631,72504883,73400071,73629992,73742455,74115967,74245027,74416563,74598559,74784594,75395200,75472364,75524695,76048311,76096423,76616936,76619445,77082055,77181680,77250487,77450947,77738100,77751426,77773699,78269479,78300425,78557484,78559554,79057327,79265934,79350019,79518375,79636386,79861041,80154522,80638743,80800510,80981346,81077695,81400791,81727408,82185295,82285352,82833741,82920640,83070655,83377532,83575401,83667666,83725171,83781559,84088879,84679634,84819600,85009026,85082023,85277154,85343842,85576611,86194053,86333043,86750924,86829390,86891906,87088611,87103267,87470167,87621439,87708295,87722851,88149055,88490946,88657459,88669711,89056594,89758879,90205210,90474240,90629634,90762871,90790255,90858727,91213625,91943334,92286866,92328295,92498466,92571021,92618016,92733427,93248719,93285720,93960510,94031157,94302895,94393927,94596771,94694252,94830920,94969911,95193703,95398495,95422050,95570719,96460311,96505856,96832371,96930655,96960612,97036210,97293234,97575843,97586695,98023855,98081585,98622354,98689431,99168559,99206696,99451999,99494525,99504768,99684786,99989095,...,8937444273777900106905351205746638435803549801220894756501386768387319853028978600240865090701629932257205951407005398032433488326099719347583442490457502336283631771385074723161240525996801885559340402115281529611825266187345148805689031233739982241150626146273274509589625623175313039428163606541045344406570015890712678857395509200901044522905503272486679993589888454952747397808663820173857988162283144801126483269429552558999844184804668005646670800357066745624398704784346796679671857803305650986885394890904286348810377819663406863911308363041848394343095690539206918325555937708222957720998896102052496841555446654067216823732686736278610762756885398975661268203664386108082848111407230874768094725532971664799347728653881517071664205120338352639937292641314898858155639872025678620733874559580246838873189745373027614616011037807464393264106781345962439061931859335198673075081917250836681163132644562417860246357536352305087862300710506406847374947947598465819696881285414461976833749152317758148828627302742691117254149692106810119883583885600290234774281976070797147333775009991627832363693592216021615119199251658609958682084400691479462738996252212862662790565714869933774850732338977917318106555771675152257107328245409456490974882840250762722424410904749716984790821645549061811032453454709387641548870956780722944523802439952441239597556046382027594315903563390921580958559772071809898676803464472520633347859155404733073358485180333737442257999659722978967985182008172844571979102966164727168664962402749623688341028118794425639290871202430648209439141117104413306753386246632507552042546303536450554510314645752454955060833509991307549234795097312325222596888187810331617074094515441595865205747308040807099532390080542595958819078109559088218722131658164658113082793970336269378235920472064920631877205548159467202822528158175327464596667911663972964627103742654809871376650042170978054570652394046991528000995078000506880674664526397267244596563986139416906149723435705278977314335526301123010301563035162654231297849525295607290754675040896173041120245470858659603614376936731093956814949593741125183757733178855803650675336419526125218959369594033795462500343934119545954736700751101416388923137578036214271290772453494821385163117552480460859422929244484178157541658514253034754919209109780844898167918473156300217074325585328554981365314328620947101870197720557389202353353674329608101512135084927887370538554346853652434185219043622700259876177721092413031561134068012447433703116487172735928615213145316782926454702224042422632352165225848902139166634691320655693870691000320936590283838985740784041562372398727112216868361181409367679542814842958400819717728942465602874583983288394209805958679200353431004936037802302419013422689378707403351068966554272035995473358542745017179237972371180207938183529575178877256407908275213987411854529406050177477839337654268917914703557943817593027707731863216232380777494219684708526012379616954798037153636422116238288578089148363271606722618961516642964024646311217436274979833999575092094651163458797361371735918558071165891640426620172010550690106983863045219371172166968926873860559527162168202440428917540345327361920303631200811398002065294640487572113279193909260372517906855631614183396225393175476298819637022122808481661107191625279426989700687270493064474470826161847491566657817844525002987424099128601959188460143071646029330219708109116035810674100928208495753473887026430381713199789864569055622834634871017515085431368223084089159609833147408497447262755390516965565723490221559841233862067659861487478298954947110188301511524693135775173733551242534296224423868513649889749757641024444301935226875884808343360982690545072858478431897141014145618733470454535426095206}
23586 169058064853557492372672407418998529431447011783847354510978871936848088654831: {117905,141486,447773,541949,683153,801278,871313,1083806,1106333,1790788,2091233,2212478,2450968,2494286,2652449,2757339,2979293,3204568,3259133,3581272,3605139,3888555,4028931,4048708,4147792,4334488,4666266,4876299,5348753,5773915,5840152,6008055,6408592,6424478,6432699,6570171,6824849,6864628,6928698,7146653,7209666,7376273,7657975,7720792,7821278,8096728,8248450,8338493,8552643,8685891,8886749,9023633,9071755,9108819,9189570,9206033,9399243,9706973,9802208,9898140,10234228,10243815,10252349,10558016,10604078,10720255,10886106,10926736,11027484,11189575,11249213,11520413,11713166,11783500,11877768,11943399,11990078,12061949,12266846,12292578,12602333,12699379,12827153,12864306,12959650,13096673,13353112,13362489,13427490,13634849,13648526,14016415,14082449,14140200,14152324,14322656,14475255,14752349,15022251,15082880,15314650,15440272,15551580,15602008,15907725,16112988,16164218,16219793,16588352,16589355,16618493,16751249,16819698,16843255,16968240,17370306,17546273,17552259,17695312,17771966,17873691,18099456,18141970,18289803,18377580,18426593,18661896,19089270,19522493,19602752,19725124,19907226,19915793,19952779,20023450,20092888,20134013,20211906,20361888,20416983,20569853,20994633,21439133,21591278,21770364,21773575,21872573,22053096,22604499,22866449,22907124,22995773,23091740,23219486,24028140,24031646,24798749,24809733,25097873,25269124,25630016,25652078,25865249,25917100,25921646,26128290,26539723,27223073,27645713,27710088,27870176,27929752,28458651,28503970,28530653,28614749,28833768,29034749,29083015,29118653,29132788,29412926,29537693,29680478,30011618,30480415,30535768,30784324,31016078,31100520,31173849,31282766,31353948,31420971,31620893,31662353,31745249,31837443,31869533,32159249,32325692,32437989,32984849,32988200,33077163,33173888,33601949,33881752,34135313,34204764,34340093,34352739,34452187,34627828,34811223,34830749,34899618,34988085,35175748,35265806,35360993,35414155,36322478,36336353,36430303,36576498,37064849,37111725,37320624,37353219,37669949,37911028,37913890,38116971,38152733,38874749,38954078,38954813,38981523,39216446,39377575,39446872,39585840,40133995,40151933,40264478,40639108,40668449,41460449,41668888,41985702,42224896,42496986,42614126,42642449,42873740,42874478,42917213,43113233,43152413,43504673,43543450,43700093,43739153,43777591,43914446,44180625,44371015,44377731,44401949,44518673,44534070,44790749,44868413,44997592,45101213,45496668,45728846,46073355,46145249,46179560,46406575,46645853,46877499,47085531,47106749,47126000,47183453,47253090,47273779,47427055,47503008,47795933,48160794,48239428,48330173,48368273,48444449,49128593,49144912,49217410,49593086,49696733,49860724,50165272,50403296,50591650,50622291,50714849,50772099,50788892,50827613,51165473,51277949,51432715,51448488,51540113,51640766,51727133,51952005,52043290,52252140,52557124,52562587,52744408,53016750,53170478,53245218,53424926,53440884,54162700,54441278,55288026,55415472,55425533,55608353,55687890,55735616,55927911,56082749,56155613,56182819,56192033,56374013,56435931,56519453,56551200,56592055,56628449,56703708,56856388,56912466,56918753,56972078,57786593,57879549,57893272,57980366,58146833,58232078,58793249,58864913,58972349,59060892,59337459,59400416,59615453,60321280,60442975,60603124,60709980,61248200,61651282,61719258,61847625,62114143,62161949,62342406,62407313,62451948,62702568,62826315,63141053,63236078,63620100,63662993,64229966,64426243,64757312,64995240,65011613,65129931,65527073,65593048,65732753,65963726,65970800,66143249,66245693,66704606,66825468,66895959,66926813,67014736,67039819,67533970,67861440,67910466,68428286,68850449,68904225,69164846,69298795,69328256,69585953,69685949,69785873,70345432,70540389,70634078,70946333,71075608,71243153,71511482,71834849,71999683,72064253,72162449,72325949,72385536,72531570,72554513,72555560,72851976,72912893,73119645,73140449,73497840,73529633,73628125,73792179,73885373,74085154,74111249,74217150,74658173,75074849,75089410,75252446,75391578,75553949,75713249,75735566,75935933,76344120,76411793,76601633,77367008,77419771,77994288,77999512,78172433,78390749,78397696,78764093,78861806,78872695,79138611,79164960,79569053,79960059,80172868,80261170,80296478,80337953,80491133,80705249,80766353,80796893,81040764,81250046,81433728,81625005,81958473,82223249,82438766,82685070,82884833,82977055,83086552,83158554,83333693,83482913,83634067,83661713,83670315,84018449,84442624,84757949,85111133,85277006,85625368,85887135,85989053,86076449,86134673,86218478,86599313,86805859,87037884,87066672,87392078,87478611,87696476,87743574,87749451,87826155,87895133,88073260,88197408,88353750,88380449,88436023,88734490,88795646,88798359,89060580,89248336,89495486,89735043,89902455,89934749,90018833,90074849,90107292,90157015,90158813,90354449,90759067,91104628,91488319,91612944,92037490,92139352,92507873,92834849,92916413,92970749,93172468,93465427,93472371,93681232,93688708,93945112,94012491,94244000,94340455,94358078,94647234,94720324,94905533,94985249,94997952,95462033,95506478,95735726,95771170,95895952,96041249,96109912,96313404,96328539,96470488,96477100,96551463,96564449,96642653,96651278,96876833,97172625,97343249,97950006,98038013,98196855,98421473,98676113,98752349,98831863,99222084,99572466,99712792,99812093,...,13406166410666850160358026808619957653705324701831342134752080152580979779543467900361297636052444898385808927110508097048650232489149579021375163735686253504425447657077612084741860788995202828339010603172922294417737899281017723208533546850609973361725939219409911764384438434762969559142245409811568016609855023836069018286093263801351566784358254908730019990384832682429121096712995730260786982243424717201689724904144328838499766277207002008470006200535600118436598057176520195019507786704958476480328092336356429523215566729495110295866962544562772591514643535808810377488333906562334436581498344153078745262333169981100825235599030104417916144135328098463491902305496579162124272167110846312152142088299457497199021592980822275607496307680507528959905938961972348287233459808038517931100811839370370258309784618059541421924016556711196589896160172018943658592897789002798009612622875876255021744698966843626790369536304528457631793451065759610271062421921397698729545321928121692965250623728476637223242940954114036675881224538160215179825375828400435352161422964106195721000662514987441748545540388324032422678798877487914938023126601037219194108494378319293994185848572304900662276098508466875977159833657512728385660992368114184736462324260376144083636616357124575477186232468323592716548680182064081462323306435171084416785703659928661859396334069573041391473855345086382371437839658107714848015205196708780950021788733107099610037727770500606163386999489584468451977773012259266857968654449247090752997443604124435532511542178191638458936306803645972314158711675656619960130079369948761328063819455304675831765471968628682432591250264986961323852192645968487833895332281715497425611141773162393797808620962061210649298585120813893938228617164338632328083197487246987169624190955504404067353880708097380947815808322239200804233792237262991196895001867495959446940655613982214807064975063256467081855978591070487292001492617000760321011996789595900866894845979209125359224585153557918465971503289451684515452344552743981346946774287943410936132012561344259561680368206287989405421565405096640935222424390611687775636599768283705476013004629289187828439054391050693193750515901179318932105051126652124583384706367054321406936158680242232077744676328720691289134393866726267236312487771379552132378813664671267347251877709734450325611488377992832472047971492931420652805296580836083803530030511494412152268202627391831055807831520280478651277828565434050389814266581638619547341701102018671150554674730759103892922819717975174389682053336063633948528247838773353208749952036980983540806036500481404885425758478611176062343558598090668325302541772114051519314222264437601229576593413698404311875974932591314708938018800530146507404056703453628520134034068061105026603449831408053993210037814117525768856958556770311907275294362768315884611862412820981117781794109075266216759006481403376872055336915726389541561597794824348571166241329527062789018569425432197055730454633174357432867133722544907410083928442274964446036969466826154412469750999362638141976745188196042057603877837106748837460639930258015826035160475794567829056758250453390310790839290743252303660643376310517991042880455446801217097003097941960731358169918790863890558776860283447421275094338089763214448229455533184212722491660787437919140484551030905739596711706239242771237349986726766787504481136148692902938782690214607469043995329562163674053716011151392312743630210830539645572569799684796853583434251952306526272628147052334626133739414749721112746170894133085775448348585235332339761850793101489792231217448432420665282452267287039703662760600326863801444336635802770474834624636461536666452902840313827212515041474035817609287717647845711521218428100205681803139142809}
23587 169657036789510145444301487753747443091966881687541319780763150971443206629918: {188648,212229,1201917,1625709,2144597,2238485,2686182,2803997,3063710,3133613,3318717,3369509,3629318,3676452,3741429,3792677,3981809,4005710,4476590,4806852,4923413,5060885,5110133,5184740,5206097,5371908,5418110,5607518,5702246,6073062,6221688,6501732,6738446,6755693,6999399,7084637,7300190,8010740,8501189,8576932,8580785,8760228,8810318,9238264,9560894,9580373,9612888,9636717,9650990,10120910,10296942,10393047,10814499,11321297,11403524,11581188,11683973,11731917,12145092,12252760,12372675,12405053,12532324,12792785,12969989,13153829,13197520,13510238,13651757,13658420,13784355,13863293,14082302,14514808,14703312,14729375,14847210,15212654,15351342,15483398,15837024,15906117,15924532,16329159,16390104,16541226,16542293,16691390,17152408,17326133,17569749,17581277,17675250,17690405,17816652,17903320,17985117,18400269,18438867,18853600,19159118,19296459,19300340,19439475,19502510,20029668,20141235,20418893,20472789,20735440,21210300,21228486,21483984,22119140,22260326,22426264,22624320,22971975,23160408,23209454,23327370,23403012,23831588,24132608,24169482,24246327,24378833,24386404,24438533,24503440,24656405,24807998,24882528,24904262,25084046,25116110,25229547,25452360,25937774,26055459,26353589,26542968,26594909,26657949,26718797,26949208,27149184,27212955,27222644,27566370,27992844,28633905,28864675,29027152,29159777,29404128,29587686,29601998,29646533,29860839,30035175,30139332,30317859,30542832,30820049,31586405,31697453,32037520,32386917,32396375,32655546,33079644,33555206,34252613,34360686,34516013,34637610,34829229,34837720,34912190,35663153,36042210,36047469,36208877,36415985,36460277,36946784,37903686,37944868,38169710,38445024,38478117,38480405,38706977,38710997,38875650,38882469,39192435,39372893,40407115,41235250,41467360,41565132,41566193,41805264,41894628,42352190,42449924,42755955,42976013,43001798,43250652,43284785,43699182,43894613,43969685,44102884,44119389,44520717,45017427,45606352,45803652,46077617,46151357,46176486,46414964,46524117,46532824,46650780,46924149,47030922,47159054,47388785,47487437,47794097,48488538,48583589,48768664,49308590,49482300,49760832,49804292,50656613,50798885,50822628,51307146,51941742,51975364,52086110,52157006,52349427,52763622,52781120,52898709,53592175,54483717,54864747,55367453,55980936,56246990,56662648,56721758,56866542,56870835,57314942,57393917,57724450,58431117,58637894,58824669,58907500,59170308,59378760,60299285,60396029,60396717,60662224,60958662,60990893,61431140,61552253,62191157,62325905,62503332,62706590,62780708,62978553,63004120,63337344,63486115,63745479,63921189,64085534,64214392,64310610,64311717,65315175,65510918,65696405,65871669,65930510,66801105,67183373,67496388,67696132,67703375,68245002,68249573,68593269,68597984,68922542,69269340,69669520,70254689,70541213,70689000,70879635,70993624,71070485,71254512,71663069,72241191,72359142,72366590,72511109,72700733,73102289,73717368,73826115,73887296,73916477,74250520,74389629,74570548,74791086,74922197,75247908,75401600,75604944,75753905,75883288,75887475,75888209,76183338,76560250,77172732,77461149,78064935,78092294,78378210,78579413,78747856,78835686,79064093,79116612,79227413,79525125,79700309,79755717,79867827,80137389,80161326,80406734,80621933,80882318,80946640,81244050,81661917,81971078,81991310,82201973,82292344,82463500,82932039,83123208,83269264,83531835,83603424,83768420,83892497,83908958,84096173,84411677,84826800,85055562,85089329,85284582,85368699,85458117,85687589,86296373,86660320,86839908,86939054,86970549,87248693,87348117,87477653,87931790,88358189,88591338,88844510,89100624,89168453,89194612,89356517,90481920,90547288,90557438,90694450,90709997,90904686,91064970,91650398,91652813,91872300,92476923,92578887,92909117,93513609,93638213,93677922,93694733,94053852,94478237,94854117,95201909,95384294,95430150,95876933,96098462,96344949,96514048,96708293,96708760,97135968,97492860,97499390,97612277,97797437,97997120,98389572,98945589,98956200,99177197,99490013,...,17874888547555800213810702411493276871607099602441789513002773536774639706057957200481730181403259864514411902814010796064866976652199438695166884980915004672567263542770149446322481051993603771118680804230563059223650532374690297611378062467479964482301252292546549019179251246350626078856327213082090688813140031781425357714791018401802089045811006544973359987179776909905494795617327640347715976324566289602252966538859105117999688369609336011293341600714133491248797409568693593359343715606611301973770789781808572697620755639326813727822616726083696788686191381078413836651111875416445915441997792204104993683110893308134433647465373472557221525513770797951322536407328772216165696222814461749536189451065943329598695457307763034143328410240676705279874585282629797716311279744051357241467749119160493677746379490746055229232022075614928786528213562691924878123863718670397346150163834501673362326265289124835720492715072704610175724601421012813694749895895196931639393762570828923953667498304635516297657254605485382234508299384213620239767167771200580469548563952141594294667550019983255664727387184432043230238398503317219917364168801382958925477992504425725325581131429739867549701464677955834636213111543350304514214656490818912981949765680501525444848821809499433969581643291098123622064906909418775283097741913561445889047604879904882479195112092764055188631807126781843161917119544143619797353606928945041266695718310809466146716970360667474884515999319445957935970364016345689143958205932329454337329924805499247376682056237588851278581742404861296418878282234208826613506772493265015104085092607072901109020629291504909910121667019982615098469590194624650445193776375620663234148189030883191730411494616081614199064780161085191917638156219118176437444263316329316226165587940672538756471840944129841263754411096318934405645056316350654929193335823327945929254207485309619742753300084341956109141304788093983056001990156001013761349329052794534489193127972278833812299446871410557954628671052602246020603126070325308462595699050591214581509350081792346082240490941717319207228753873462187913629899187482250367515466357711607301350672839052250437918739188067590925000687868239091909473401502202832777846275156072428542581544906989642770326235104960921718845858488968356315083317028506069509838418219561689796335836946312600434148651170657109962730628657241894203740395441114778404706707348659216203024270169855774741077108693707304868370438087245400519752355442184826063122268136024894867406232974345471857230426290633565852909404448084845264704330451697804278333269382641311387741382000641873180567677971481568083124744797454224433736722362818735359085629685916801639435457884931205749167966576788419611917358400706862009872075604604838026845378757414806702137933108544071990946717085490034358475944742360415876367059150357754512815816550427974823709058812100354955678675308537835829407115887635186055415463726432464761554988439369417052024759233909596074307272844232476577156178296726543213445237923033285928049292622434872549959667999150184189302326917594722743471837116142331783280853240344021101380213967726090438742344333937853747721119054324336404880857835080690654723840607262401622796004130589280975144226558387818520745035813711263228366792450786350952597639274044245616963322214383250558853979401374540986128948941652323694983133315635689050005974848198257203918376920286143292058660439416218232071621348201856416991506947774052860763426399579729138111245669269742035030170862736446168178319219666294816994894525510781033931131446980443119682467724135319722974956597909894220376603023049386271550347467102485068592448847737027299779499515282048888603870453751769616686721965381090145716956863794282028291237466940909070852190412}
23588 170258117054938809289643057163337327928577892882419310262663637127593676923312: {165067,235810,282972,730267,895546,1083898,1366306,1602556,1742626,1857211,2167612,2212666,3581576,3678667,4029273,4182466,4424956,4595565,4901936,4988572,5304898,5443977,5514678,5958586,6008565,6409136,6457147,6480925,6518266,6714885,7162544,7210278,7777110,7835587,8057862,8083481,8097416,8127165,8295584,8411277,8553369,8668976,8796211,9109593,9332532,9752598,9753307,10013425,10107669,10570867,10697506,10721165,10950285,11547830,11680304,12016110,12603427,12700457,12817184,12848956,12865398,13140342,13142707,13215477,13277347,13649698,13729256,13857396,14254405,14293306,14341341,14419332,14476485,14752546,15008357,15181365,15315950,15441584,15445413,15642556,15665405,16193456,16496900,16619947,16676986,17073025,17105286,17371782,17773498,18047266,18143510,18217638,18379140,18412066,18472147,18798486,19413946,19604416,19622981,19796280,19905665,20265357,20468456,20487630,20504698,20832811,21116032,21123453,21208156,21223987,21440510,21772212,21853472,21874507,22054968,22270815,22379150,22498426,22818981,23027013,23040826,23040907,23225097,23426332,23428411,23567000,23580557,23755536,23886798,23980156,24123898,24125425,24458587,24533692,24585156,24811839,25037085,25204666,25398758,25654306,25728612,25919300,26193346,26512875,26706224,26724978,26854980,27269698,27297052,27648925,28032830,28164898,28280400,28304648,28645312,28738677,28911427,28950510,29253765,29504698,29789485,30044502,30165760,30483005,30629300,30880544,31042411,31103160,31204016,31665211,31815450,31842729,32225976,32286211,32328436,32439586,33176704,33178710,33236986,33390489,33502498,33639396,33686510,33936480,34028305,34138411,34740612,34814181,34991055,35092546,35104518,35119627,35390624,35543932,35730547,35747382,36198912,36254223,36283940,36579606,36755160,36853186,37211997,37323792,37356393,37626069,37674165,38156227,38178540,38906661,38998411,39044986,39205504,39238387,39450248,39814452,39831586,39837067,39905558,40046900,40185776,40268026,40423812,40433947,40716221,40723776,40833966,41139706,41349555,41989266,42672581,42878266,42921187,43156411,43182556,43391347,43540728,43547150,43743211,43745146,44106192,44381529,44402997,44911411,45208998,45732898,45814248,45991546,46183480,46438972,47431085,48056280,48063292,48372811,48440293,48983319,49171147,49579817,49597498,49619466,49739227,50195746,50332809,50418547,50538248,51260032,51304156,51541029,51730498,51737153,51834200,51843292,51956415,52105507,52256580,52368285,53062405,53079446,53109907,53776267,54063315,54446146,55128605,55291426,55420176,55650211,55740352,55859504,56187593,56197411,56855529,56917302,56960467,57007940,57061306,57229498,57254565,57667536,58018705,58069498,58166030,58237306,58265576,58313475,58825852,59075386,59228467,59360956,60023236,60960830,61071536,61568648,61852875,62032156,62119421,62201040,62255365,62347698,62413387,62565532,62707896,62841942,62937907,63147211,63241786,63324706,63490498,63528285,63669211,63674886,63739066,64318498,64502697,64651384,64875978,64914667,64969205,65548773,65739211,65969698,65976400,66154326,66347776,66397877,66967387,67203898,67272811,67763504,68270626,68409528,68680186,68705478,68904374,69255656,69264729,69622446,69661498,69799236,69976170,70291411,70351496,70531612,70546383,70589707,70721986,70738581,70828310,70986427,71283211,72005801,72644956,72672706,72732807,72860606,73152996,73537027,73634375,73962885,74021947,74129698,74223450,74641248,74697811,74706438,75339898,75822056,75827780,76233942,76305466,76609411,76788925,76893667,76960719,77749498,77908156,77909626,77912613,77963046,78129165,78235509,78432892,78475885,78755150,78893744,79145433,79171680,79228877,79237267,79885411,80069947,80267990,80303866,80528956,80805211,81278216,81336898,81444787,82591333,82920898,83337776,83521411,83789467,83971404,84370485,84449792,84620165,84993972,85082637,85120027,85228252,85284898,85299813,85747480,85748956,85834426,85972413,85998067,86172811,86226466,86304826,86586675,87009346,87086900,87400186,87478306,87555182,87828892,87956841,88361250,88742030,88755462,88803898,89037346,89068140,89184211,89581498,89736826,89995184,90196387,90202426,90615067,90993336,91437993,91457692,91496093,91695211,92146710,92271787,92290498,92359120,92813150,93213185,93291706,93473369,93754998,94059885,94171062,94213498,94252000,94366906,94382467,94506180,94547558,94854110,95006016,95591866,95736211,96128301,96321588,96465915,96478856,96660346,96679267,96736546,96888898,97018313,98257186,98266377,98289824,98304667,98434820,98457811,98840261,98895765,99186172,99393466,99721448,99823147,...,26812332821333700320716053617239915307410649403662684269504160305161959559086935800722595272104889796771617854221016194097300464978299158042750327471372507008850895314155224169483721577990405656678021206345844588835475798562035446417067093701219946723451878438819823528768876869525939118284490819623136033219710047672138036572186527602703133568716509817460039980769665364858242193425991460521573964486849434403379449808288657676999532554414004016940012401071200236873196114353040390039015573409916952960656184672712859046431133458990220591733925089125545183029287071617620754976667813124668873162996688306157490524666339962201650471198060208835832288270656196926983804610993158324248544334221692624304284176598914994398043185961644551214992615361015057919811877923944696574466919616077035862201623678740740516619569236119082843848033113422393179792320344037887317185795578005596019225245751752510043489397933687253580739072609056915263586902131519220542124843842795397459090643856243385930501247456953274446485881908228073351762449076320430359650751656800870704322845928212391442001325029974883497091080776648064845357597754975829876046253202074438388216988756638587988371697144609801324552197016933751954319667315025456771321984736228369472924648520752288167273232714249150954372464936647185433097360364128162924646612870342168833571407319857323718792668139146082782947710690172764742875679316215429696030410393417561900043577466214199220075455541001212326773998979168936903955546024518533715937308898494181505994887208248871065023084356383276917872613607291944628317423351313239920260158739897522656127638910609351663530943937257364865182500529973922647704385291936975667790664563430994851222283546324787595617241924122421298597170241627787876457234328677264656166394974493974339248381911008808134707761416194761895631616644478401608467584474525982393790003734991918893881311227964429614129950126512934163711957182140974584002985234001520642023993579191801733789691958418250718449170307115836931943006578903369030904689105487962693893548575886821872264025122688519123360736412575978810843130810193281870444848781223375551273199536567410952026009258578375656878108782101386387501031802358637864210102253304249166769412734108642813872317360484464155489352657441382578268787733452534472624975542759104264757627329342534694503755419468900651222976755985664944095942985862841305610593161672167607060061022988824304536405254783662111615663040560957302555657130868100779628533163277239094683402204037342301109349461518207785845639435950348779364106672127267897056495677546706417499904073961967081612073000962809770851516957222352124687117196181336650605083544228103038628444528875202459153186827396808623751949865182629417876037601060293014808113406907257040268068136122210053206899662816107986420075628235051537713917113540623814550588725536631769223724825641962235563588218150532433518012962806753744110673831452779083123195589648697142332482659054125578037138850864394111460909266348714865734267445089814820167856884549928892073938933652308824939501998725276283953490376392084115207755674213497674921279860516031652070320951589135658113516500906780621581678581486504607321286752621035982085760910893602434194006195883921462716339837581727781117553720566894842550188676179526428896458911066368425444983321574875838280969102061811479193423412478485542474699973453533575008962272297385805877565380429214938087990659124327348107432022302784625487260421661079291145139599369593707166868503904613052545256294104669252267478829499442225492341788266171550896697170470664679523701586202979584462434896864841330564904534574079407325521200653727602888673271605540949669249272923073332905805680627654425030082948071635218575435295691423042436856200411363606278285618}
23589 170861313022590726891415514598623108726689752334408346441026618804995108660539: {353715,377296,424458,1343319,1625847,2003195,2049459,2403834,2613939,2709515,2851607,3133879,3251418,3318999,3982147,4289194,4405907,4476970,5372364,5531195,5607994,5818579,6127420,6235715,6267226,6273699,6637434,6739018,7085239,7258636,7352904,7482858,7512131,7585354,7957347,7963618,8011420,8272017,8937879,8953180,9207659,9613704,9777399,9846826,10121770,10220266,10369480,10412194,10615187,10743816,10815417,10836220,11215036,11322259,11404492,11665665,12013099,12086793,12146124,12165527,12443376,13003464,13476892,13511386,13864471,13998798,14169274,14600380,14628897,15699179,16021480,16046259,16061195,16401107,17002378,17153864,17161570,17321745,17520456,17620636,17909899,18024165,18476528,19121788,19160746,19225776,19273434,19298097,19301980,19553195,19710513,19789571,20241820,20474547,20476339,20593884,20621125,20786094,21439959,21628998,22128819,22642594,22807048,22973925,23162376,23367946,23463834,24131419,24290184,24505520,24745350,24766567,24810106,25015479,25064648,25585570,25657929,25939978,26057673,26307658,26395040,26510195,26660247,27020476,27070899,27215265,27246931,27303514,27316840,27326457,27568710,27618099,27726586,28164604,28197729,29029616,29120919,29282915,29406624,29458750,29694420,29975195,30425308,30667115,30702684,30731445,30757047,30966796,31430347,31674048,31812234,31849064,32160765,32399125,32590339,32658318,32780208,33082452,33084586,33382780,33568725,33747639,33787127,34121315,34304816,34518967,34561239,34652266,35139498,35162554,35350500,35380810,35633304,35806640,35830197,35970234,36185847,36800538,36877734,37402819,37707200,37806999,38098137,38286625,38318236,38481459,38592918,38600680,38878950,39005020,39290019,40059336,40087467,40282470,40410545,40837786,40904547,40945578,41470880,42049245,42247347,42420600,42456972,42967968,43260739,43425765,44220967,44238280,44257047,44429915,44432827,44520652,44852528,45064739,45066753,45248640,45354925,45943950,46072631,46320816,46418908,46654740,46806024,47663176,47723175,48265216,48338964,48492654,48659379,48757666,48772808,48877066,49006880,49312810,49615996,49765056,49768065,49808524,49855479,50058625,50168092,50232220,50253747,50459094,50529765,50904720,50982379,51875548,52110918,52638819,52656777,52707178,53085936,53189818,53315898,53437594,53621073,53872567,53898416,53978195,54298368,54425910,54445288,54869409,55132740,55279779,55985688,56569961,57267810,57729350,57732599,58048715,58054304,58319554,58567479,58808256,59175372,59203996,59293066,59721678,59747379,59858337,60070350,60079115,60278664,60402039,60598699,60635718,61085664,61250949,61358231,61557559,61640098,61709559,61881271,62983899,63172810,63394906,64075040,64130195,64317399,64405847,64773834,64792750,64804115,65311092,65320725,65617719,65928467,66159288,66344299,67110412,67813497,68505226,68599347,68611579,68711411,68721372,68816459,68987319,69032026,69275220,69658458,69675440,69824380,71118439,71259925,71326306,72011027,72084420,72094938,72417754,72831970,72920554,73532315,73681747,73893568,74201195,74396247,74429199,75029045,75293619,75807372,75889736,76339420,76835819,76890048,76956234,76960810,77413954,77421994,77540195,77595747,77751300,77764938,78206915,78384870,78745786,79619169,80250059,80814230,81669219,82470500,82934720,82937139,83130264,83132386,83610528,83789256,84418999,84704380,84899848,85375953,85511910,85591959,85601891,85694947,85844247,85952026,86003596,86501304,86569570,87104247,87249045,87256267,87355959,87398364,87789226,87939370,88164515,88205768,88238778,88365751,88613079,88880561,89041434,89875559,90034854,90806195,91212704,91441245,91513559,91607304,91974967,92155234,92247847,92302714,92352972,92445779,92829928,92866579,93048234,93065648,93301560,93521547,93848298,94061844,94262913,94318108,94777570,94784725,94801979,94862679,94974874,94987059,95235747,95512329,95588194,95608599,96477747,96977076,97094027,97167178,97313967,97385195,97537328,98041115,98269751,98617180,98954547,98964600,99225731,99231489,99498679,99510707,99521664,99608584,...,40218499232000550481074080425859872961115974105494026404256240457742939338630403701083892908157334695157426781331524291145950697467448737064125491207058760513276342971232836254225582366985608485017031809518766883253213697843053169625600640551829920085177817658229735293153315304288908677426736229434704049829565071508207054858279791404054700353074764726190059971154498047287363290138987190782360946730274151605069174712432986515499298831621006025410018601606800355309794171529560585058523360114875429440984277009069288569646700188485330887600887633688317774543930607426431132465001719687003309744495032459236235786999509943302475706797090313253748432405984295390475706916489737486372816501332538936456426264898372491597064778942466826822488923041522586879717816885917044861700379424115553793302435518111110774929353854178624265772049670133589769688480516056830975778693367008394028837868627628765065234096900530880371108608913585372895380353197278830813187265764193096188635965784365078895751871185429911669728822862342110027643673614480645539476127485201306056484268892318587163001987544962325245636621164972097268036396632463744814069379803111657582325483134957881982557545716914701986828295525400627931479500972538185156982977104342554209386972781128432250909849071373726431558697404970778149646040546192244386969919305513253250357110979785985578189002208719124174421566035259147114313518974323144544045615590126342850065366199321298830113183311501818490160998468753405355933319036777800573905963347741272258992330812373306597534626534574915376808920410937916942476135026969859880390238109846283984191458365914027495296415905886047297773750794960883971556577937905463501685996845146492276833425319487181393425862886183631947895755362441681814685851493015896984249592461740961508872572866513212202061642124292142843447424966717602412701376711788973590685005602487878340821966841946644421194925189769401245567935773211461876004477851002280963035990368787702600684537937627376077673755460673755397914509868355053546357033658231944040840322863830232808396037684032778685041104618863968216264696215289922805667273171835063326909799304851116428039013887867563485317163173152079581251547703537956796315153379956373750154119101162964220808476040726696233234028986162073867403181600178801708937463314138656397136440994013802041755633129203350976834465133978497416143914478794261958415889742508251410590091534483236456804607882175493167423494560841435953833485696302151169442799744915858642025103306056013451664024192277311678768459153925523169046160008190901845584743516320059626249856110942950622418109501444214656277275435833528187030675794272004975907625316342154557942666793312803688729780241095212935627924797773944126814056401590439522212170110360885560402102204183315079810349494224161979630113442352577306570875670310935721825883088304947653835587238462943353345382327225798650277019444210130616166010747179168624684793384473045713498723988581188367055708276296591167191363899523072298601401167634722230251785326824893338110908400478463237409252998087914425930235564588126172811633511320246512381919790774047478105481427383703487170274751360170932372517872229756910981930128931553973128641366340403651291009293825882194074509756372591671676330580850342263825283014269289643344688366599552638167474982362313757421453653092717218790135118717728313712049960180300362513443408446078708816348070643822407131985988686491022161148033454176938230890632491618936717709399054390560750302755856919578817884441157003878401218244249163338238512682399257326345045755705997019285552379304469376693652345297261995847356801861119110988281800980591404333009907408311424503873909384609999358708520941481637545124422107452827863152943537134563655284300617045409417428427}
23590 171466632090827093930773717591809821620728392286158801422381899487043878521553: {330134,471620,542041,565944,636687,683269,965509,1247461,1388329,1460534,1791092,2167796,2732612,3073129,3205112,3485252,3605751,3714422,4051141,4335224,4425332,4469209,4877127,5442181,5858089,5996581,6135001,6273349,6433791,6715455,6826021,7163152,7239769,7357334,7659275,8058546,8364932,8411991,8849912,9025189,9073295,9191130,9298789,9400839,9803872,9956151,9977144,9981529,10014275,10108527,10609796,10887954,11029356,11191475,11224287,11341609,11378031,11612761,11748229,11917172,11945427,12017130,12818272,12914294,12961850,12964201,13036532,13098949,13429770,13502761,13545275,14018795,14174341,14255615,14325088,14420556,14770239,14844121,14977861,15009631,15182655,15330399,15554220,15618291,15645481,15671174,16115724,16166962,16194832,16254330,16444249,16591168,16822554,16846115,17106738,17337952,17592422,17637541,18219186,18250475,18665064,18693349,19088089,19505196,19506614,19613401,19956167,20006629,20026850,20215338,20267079,20660569,20998197,21141734,21253911,21395012,21442330,21442921,21573061,21900570,21931567,21963049,22025795,22092901,22999849,23095660,23360608,23645509,23902235,24032220,24127475,24931429,25206854,25302275,25400914,25503567,25634368,25697912,25730796,25742355,26280684,26285414,26430954,26465029,26554694,26719621,27299396,27354841,27458512,27714792,27867931,28508810,28586612,28619881,28682682,28741119,28838664,28910151,28952970,29123881,29375449,29505092,30016714,30253669,30362730,30631900,30883168,30890826,31179141,31285112,31330810,31354367,31750981,32386912,32443497,32743429,32993800,33114409,33239894,33353972,33361369,33608041,33775595,33963891,34146050,34210572,34223461,34346329,34743564,35051919,35195751,35205755,35448901,35546996,36094532,36287020,36435276,36758280,36824132,36944294,37118025,37152421,37215159,37394629,37596972,38031635,38378355,38708495,38827892,38909967,38961961,39208832,39245962,39461487,39592560,39681241,39811330,40530714,40755301,40936912,40955271,40975260,40993189,41009396,41349481,41353065,41589879,41665622,41705279,41728475,42232064,42246906,42416312,42447974,42650341,42676207,42768169,42881020,43238761,43544424,43706944,43708201,43749014,44109936,44188125,44526949,44541630,44758300,44876761,44996852,45109609,45637962,46054026,46081652,46081814,46450194,46852664,46856822,47134000,47161114,47192281,47307301,47511072,47639627,47718351,47773596,47881321,47897795,47960312,48247796,48250850,48339241,48453541,48756275,48917174,48987477,49067384,49170312,49623678,49626879,50074170,50409332,50797516,50837209,51062569,51308612,51457224,51624709,51736921,51838600,51978399,52386692,52709247,52743831,53025750,53071215,53300329,53412448,53449956,53709960,53955351,54139151,54187369,54539396,54594104,54739429,55200807,55297850,55316601,55650815,56065660,56166361,56275621,56329796,56560800,56602969,56609296,57147109,57247619,57290624,57477354,57822854,57889377,57901020,58023635,58229989,58318425,58507530,58553449,58876261,58983721,59009396,59578970,59947621,60089004,60161029,60331520,60423705,60480601,60966010,61117801,61256679,61258600,61418367,61761088,62019995,62084822,62206320,62260655,62408032,62489509,62710115,62790275,63223081,63330422,63630900,63685458,64451952,64572422,64656872,64844435,64879172,65093209,65608549,66224581,66353408,66357420,66403519,66473972,66780978,67004996,67278792,67373020,67448869,67872960,67955929,68056610,68158249,68276822,68461189,68763481,68864101,68915925,69481224,69628362,69666469,69766441,69982110,70185092,70209036,70239254,70762201,70781248,70960489,71087864,71461094,71494764,71849221,72242341,72397824,72508446,72567880,72738981,73122649,73136499,73159212,73220101,73315599,73510320,73609189,73706372,73969215,74004995,74287367,74423994,74647584,74712786,75154021,75252138,75348330,75688641,76014889,76205401,76312454,76357080,76490629,77180047,77248069,77813322,77996822,78089972,78166377,78411008,78469081,78476774,78562501,78655849,78900496,79060767,79121509,79628904,79663172,79674134,79784727,79811116,79973847,80093800,80156391,80323801,80371552,80415781,80536052,80782981,80847624,80867894,81226187,81432442,81447552,81604969,81638865,81667932,81695941,82279412,82511449,82598351,82699110,82781989,83888015,83978532,84569029,85187689,85345162,85756532,85842374,85901715,86152741,86312822,86365112,86594025,86782694,87081456,87094300,87157511,87280475,87479331,87486422,87490292,87970921,88212384,88287287,88399141,88484569,88655209,88763058,88805994,88939599,89080549,89504089,89582517,89822822,90009961,90094021,90105525,90417996,90429541,90953577,90956887,91180249,91263301,91429189,91465796,91628496,91842649,91983092,92366960,92460147,92582341,92877944,92990761,93640489,94124761,94759215,94862170,94926121,95092359,95424275,95482789,96112560,96114661,96126584,96428869,96663769,96745622,96880586,96975961,97160751,97189125,97364581,97607939,97966638,98213209,98342294,98748709,99129049,99159634,99194996,99238932,99478454,99507589,99884329,...,53624665642667400641432107234479830614821298807325368539008320610323919118173871601445190544209779593543235708442032388194600929956598316085500654942745014017701790628310448338967443155980811313356042412691689177670951597124070892834134187402439893446903756877639647057537753739051878236568981639246272066439420095344276073144373055205406267137433019634920079961539330729716484386851982921043147928973698868806758899616577315353999065108828008033880024802142400473746392228706080780078031146819833905921312369345425718092862266917980441183467850178251090366058574143235241509953335626249337746325993376612314981049332679924403300942396120417671664576541312393853967609221986316648497088668443385248608568353197829988796086371923289102429985230722030115839623755847889393148933839232154071724403247357481481033239138472238165687696066226844786359584640688075774634371591156011192038450491503505020086978795867374507161478145218113830527173804263038441084249687685590794918181287712486771861002494913906548892971763816456146703524898152640860719301503313601741408645691856424782884002650059949766994182161553296129690715195509951659752092506404148876776433977513277175976743394289219602649104394033867503908639334630050913542643969472456738945849297041504576334546465428498301908744929873294370866194720728256325849293225740684337667142814639714647437585336278292165565895421380345529485751358632430859392060820786835123800087154932428398440150911082002424653547997958337873807911092049037067431874617796988363011989774416497742130046168712766553835745227214583889256634846702626479840520317479795045312255277821218703327061887874514729730365001059947845295408770583873951335581329126861989702444567092649575191234483848244842597194340483255575752914468657354529312332789948987948678496763822017616269415522832389523791263233288956803216935168949051964787580007469983837787762622455928859228259900253025868327423914364281949168005970468003041284047987158383603467579383916836501436898340614231673863886013157806738061809378210975925387787097151773643744528050245377038246721472825151957621686261620386563740889697562446751102546399073134821904052018517156751313756217564202772775002063604717275728420204506608498333538825468217285627744634720968928310978705314882765156537575466905068945249951085518208529515254658685069389007510838937801302445953511971329888191885971725682611221186323344335214120122045977648609072810509567324223231326081121914605111314261736201559257066326554478189366804408074684602218698923036415571691278871900697558728213344254535794112991355093412834999808147923934163224146001925619541703033914444704249374234392362673301210167088456206077256889057750404918306373654793617247503899730365258835752075202120586029616226813814514080536136272244420106413799325632215972840151256470103075427834227081247629101177451073263538447449651283924471127176436301064867036025925613507488221347662905558166246391179297394284664965318108251156074277701728788222921818532697429731468534890179629640335713769099857784147877867304617649879003997450552567906980752784168230415511348426995349842559721032063304140641903178271316227033001813561243163357162973009214642573505242071964171521821787204868388012391767842925432679675163455562235107441133789685100377352359052857792917822132736850889966643149751676561938204123622958386846824956971084949399946907067150017924544594771611755130760858429876175981318248654696214864044605569250974520843322158582290279198739187414333737007809226105090512588209338504534957658998884450984683576532343101793394340941329359047403172405959168924869793729682661129809069148158814651042401307455205777346543211081899338498545846146665811611361255308850060165896143270437150870591382846084873712400822727212556571236}
23591 172074081683711464003131657496709811213778748552161428864086814684604488020426: {495201,589525,707430,754592,848916,2190801,2238865,2686638,2709745,2804473,3251694,3370081,3415765,3793321,4006390,4098918,4356565,4406281,4807668,4924249,5206981,5227878,5419030,5531665,5571633,5703214,5959921,6267758,6502836,6637998,6807973,7743673,7964294,8030209,8578388,8730001,8811814,8877973,8953940,10290913,10456165,10616089,10744728,11036001,11062390,11133001,11215988,11637158,12087819,12254840,12471430,12534452,12545221,12547398,13262245,13274868,13478036,13786695,14170478,14377441,14517272,14705808,14804773,14896465,14965716,15024262,15170708,15700513,15914694,15927236,16022840,16295665,16331931,16544034,16781881,17201161,17875758,17906360,18025695,18330649,18360529,18415318,19227408,19371441,19442775,19554798,19693652,20024881,20144655,20243540,20440532,20738960,20824388,21154369,21230374,21452761,21487632,21630834,21672440,22430072,22485673,22644518,22808984,23331330,23506761,24026198,24173586,24250443,24292248,24331054,24381495,24886752,25233831,25660107,26006928,26388633,26743765,26953784,27022772,27328779,27374473,27627721,27728942,27997596,28338548,28869575,29200760,29257794,29259921,30040275,30323007,31398358,31712601,31901713,32042960,32092518,32122390,32163495,32802214,32850855,34004756,34124245,34307728,34323140,34643490,35040912,35241272,35733265,35819798,36048330,36133333,36881365,36953056,37114273,37810281,38101371,38243576,38289875,38321492,38370601,38403409,38451552,38546868,38596194,38603960,39106390,39421026,39428121,39518629,39579142,39646431,39832041,39930241,40303141,40483640,40949094,40952678,40996081,41187768,41242250,41572188,41692465,41965273,41986681,42763215,42879918,42933961,43024023,43257996,43429455,44257638,44433745,45025071,45118165,45285188,45358775,45544095,45614096,45947850,46030165,46324752,46336239,46587409,46735892,46927668,46996215,47769841,48262838,48534865,48580368,49011040,49490700,49533134,49620212,49859841,50030958,50129296,50366473,50622073,51058981,51171140,51219075,51261745,51315858,51879956,51904873,52115346,52615316,52790080,53020390,53320494,53601275,54040952,54141798,54239449,54430530,54449473,54493862,54607028,54633680,54652914,55137420,55236198,55416441,55453172,55947875,56246065,56329208,56395458,56574763,57294721,57602065,58059232,58241838,58565830,58811713,58813248,58868943,58917500,59388840,59716995,59950390,60309745,60583813,60796071,60850616,61334230,61405368,61462890,61514094,61871689,61933592,62201881,62498433,62499973,62860694,63011665,63348096,63370359,63496895,63624468,63671961,63698128,64135765,64321530,64798250,65180678,65316636,65483365,65560416,65623521,66164904,66169172,66765560,66812445,67137450,67495278,67574254,68174245,68242630,68456943,68609632,68977249,69037934,69081039,69122478,69122721,69304532,69675291,70072033,70082075,70278996,70285233,70325108,70412245,70701000,70741671,70761620,71266608,71613280,71660394,71940468,72371694,72376275,72514273,72523561,73375761,73450129,73601076,73755468,73761745,73831081,74435517,74805638,75111255,75414400,75569473,75613998,76116001,76196274,76573250,76636472,76912513,76962918,77185836,77201360,77757900,77915461,78010040,78329401,78580038,79538625,79603249,80118672,80174934,80564940,80821090,81098965,81268201,81327241,81675572,81709513,81809094,81891156,82134841,82941760,82946775,83092465,83756245,84098490,84110761,84216275,84494694,84841200,84913944,85103941,85935936,86216031,86521478,86734281,86851530,87731365,87761295,88441934,88476560,88514094,88859830,88865654,89014369,89041304,89368455,89705056,89777593,89782273,90129478,90133506,90190441,90497280,90709850,90725761,91449015,91887900,92132965,92145262,92641632,92826673,92837816,93127233,93309480,93612048,94995633,95326352,95446350,95528187,95595301,96530432,96677928,96724969,96858633,96985308,97318758,97515332,97545616,97612465,97728961,97754132,98013760,98222833,98625620,99016681,99231992,99530112,99536130,99578965,99617048,99710958,99763895,...,80436998464001100962148160851719745922231948210988052808512480915485878677260807402167785816314669390314853562663048582291901394934897474128250982414117521026552685942465672508451164733971216970034063619037533766506427395686106339251201281103659840170355635316459470586306630608577817354853472458869408099659130143016414109716559582808109400706149529452380119942308996094574726580277974381564721893460548303210138349424865973030998597663242012050820037203213600710619588343059121170117046720229750858881968554018138577139293400376970661775201775267376635549087861214852862264930003439374006619488990064918472471573999019886604951413594180626507496864811968590780951413832979474972745633002665077872912852529796744983194129557884933653644977846083045173759435633771834089723400758848231107586604871036222221549858707708357248531544099340267179539376961032113661951557386734016788057675737255257530130468193801061760742217217827170745790760706394557661626374531528386192377271931568730157791503742370859823339457645724684220055287347228961291078952254970402612112968537784637174326003975089924650491273242329944194536072793264927489628138759606223315164650966269915763965115091433829403973656591050801255862959001945076370313965954208685108418773945562256864501819698142747452863117394809941556299292081092384488773939838611026506500714221959571971156378004417438248348843132070518294228627037948646289088091231180252685700130732398642597660226366623003636980321996937506810711866638073555601147811926695482544517984661624746613195069253069149830753617840821875833884952270053939719760780476219692567968382916731828054990592831811772094595547501589921767943113155875810927003371993690292984553666850638974362786851725772367263895791510724883363629371702986031793968499184923481923017745145733026424404123284248584285686894849933435204825402753423577947181370011204975756681643933683893288842389850379538802491135871546422923752008955702004561926071980737575405201369075875254752155347510921347510795829019736710107092714067316463888081680645727660465616792075368065557370082209237727936432529392430579845611334546343670126653819598609702232856078027775735126970634326346304159162503095407075913592630306759912747500308238202325928441616952081453392466468057972324147734806363200357603417874926628277312794272881988027604083511266258406701953668930267956994832287828957588523916831779485016502821180183068966472913609215764350986334846989121682871907666971392604302338885599489831717284050206612112026903328048384554623357536918307851046338092320016381803691169487032640119252499712221885901244836219002888429312554550871667056374061351588544009951815250632684309115885333586625607377459560482190425871255849595547888253628112803180879044424340220721771120804204408366630159620698988448323959260226884705154613141751340621871443651766176609895307671174476925886706690764654451597300554038888420261232332021494358337249369586768946091426997447977162376734111416552593182334382727799046144597202802335269444460503570653649786676221816800956926474818505996175828851860471129176252345623267022640493024763839581548094956210962854767406974340549502720341864745035744459513821963860257863107946257282732680807302582018587651764388149019512745183343352661161700684527650566028538579286689376733199105276334949964724627514842907306185434437580270237435456627424099920360600725026886816892157417632696141287644814263971977372982044322296066908353876461781264983237873435418798108781121500605511713839157635768882314007756802436488498326676477025364798514652690091511411994038571104758608938753387304690594523991694713603722238221976563601961182808666019814816622849007747818769219998717417041882963275090248844214905655726305887074269127310568601234090818834856854}
23592 172683669251098456965394349862450367318610797947714765012677207313284461946459: {259391,660268,683327,730391,943240,1012607,1061145,1084082,1131888,1247567,1273374,1366538,1435391,1931018,1951247,2494922,2776658,2921068,3582184,4029957,4335592,4516007,4877541,5211287,5465224,6009585,6146258,6148377,6319991,6410224,6550391,6970504,7211502,7286327,7428844,7841817,8102282,8128545,8554821,8670448,8850664,8889047,8938418,9025967,9401637,9709487,9754254,9956997,10027847,10391207,10663391,10722985,10884362,11192425,11716178,11946441,11993162,12019991,12270002,12546698,12702613,12867582,12965327,13144991,13217721,13430910,13652042,13772807,14019985,14220287,14326304,14479538,14488391,14714668,15318550,15668065,15824591,16117092,16593585,16729864,16755647,16823982,16847545,16888367,17455737,17699824,18050378,18146590,18382260,18431447,18597578,18707145,18738887,18801678,18821097,18963385,19396367,19607744,19626313,19909045,19912302,19954288,19957861,19963058,20028550,20052047,20217054,21219592,21255717,21314591,21574967,21775908,21964991,22058712,22382950,22448574,22536393,22683218,22756062,23001887,23044991,23225522,23496458,23584561,23647607,23690591,23834344,23872041,23890854,23905391,24034260,24548591,24617065,24816051,24933647,25232687,25304425,25550665,25636544,25828588,25829591,25923700,25928402,26030485,26073064,26197898,26813637,26859540,26891591,27005522,27090550,27357287,27622977,27906407,28037590,28348682,28511230,28650176,28748567,28841112,29000591,29332197,29378087,29419991,29540478,29688242,29955722,30019262,30365310,30660798,30836113,31048007,31108440,31236582,31290962,31342348,31753847,31845561,31878167,32231448,32292047,32333924,32389664,32446251,32508660,32746391,32787647,32888498,33117407,33182336,33463129,33645108,33692230,33778465,33966777,34213476,34226567,34675904,34758527,34996995,35184844,35207591,35275082,35423185,36039297,36260379,36438372,36467927,36496581,36500950,37055161,37196207,37330128,37386698,37639991,37881647,38042591,38176178,38283767,39005567,39010392,39013228,39226802,39912334,40013258,40053700,40430676,40534158,40798727,41321138,41593413,41827391,41996394,42283468,42505945,42507822,42772127,42790024,42884660,42885842,42903925,43046807,43146122,43242767,43751327,43801140,43863134,43886691,43926098,44051590,44185802,44414327,44531087,44919767,45113807,45346391,45999698,46191320,46721216,47097537,47285833,47291018,47311727,47804470,47901865,48038591,48064440,48138777,48183585,48254950,48381887,48458087,49142447,49203321,49288057,49862858,50314991,50413708,50503391,50604550,50801828,50842007,51007134,51268736,51292487,51395824,51461592,51484710,51965235,52561368,52570828,52785767,52861908,52930058,53109388,53244289,53305391,53439242,53729697,54072495,54191893,54192527,54413591,54598792,54709682,54744647,54917024,55185047,55429584,55733927,55735862,55879991,56208167,56281007,56606485,56644727,56753687,57017620,57173224,57239762,57365364,57482238,57677328,57820302,57894291,57905940,58247762,58271567,58419865,58559087,58659585,58750898,58810247,58989407,59010184,59131539,59311391,59368713,60033428,60507338,60725460,60946967,61263800,61423641,61429017,61758407,61766336,61781652,61863375,62025265,62358282,62495591,62570224,62635607,62661620,62708734,63229247,63501962,63681647,63963925,63982633,64319877,64773824,64849945,64886994,64927391,65305967,65486858,65769145,65987600,66128591,66228818,66265247,66386457,66479788,66707944,66722738,67056913,67216082,67353887,67489391,67551190,67656277,67692407,67927782,67962647,67996391,68198687,68258785,68292100,68421144,68446922,68501591,68692658,68921775,69316465,69473207,69487128,69706727,69806687,70103838,70172591,70391502,70411510,70802327,70897802,71000591,71093992,71494991,71659391,72184127,72189064,72394257,72478391,72574040,72674207,72870552,73162487,73516560,73616591,73646875,73648264,73888588,74230367,74236050,74299701,74304842,74430318,74789258,74873327,75046437,75193944,75736247,76054367,76063270,76756710,76972391,76973787,77287391,77416990,77655784,77819934,77911141,77923922,78173019,78196367,78417664,78491924,78694991,78922974,79129607,79160591,79185120,79362482,79530585,79622660,79778591,79980741,80362727,80821847,81061428,81212697,81233089,81461591,81510602,81613391,81645795,81734687,81740793,81873824,81910542,81950520,81979371,81986378,82018792,82339247,82550087,82698962,82700447,82706130,82711465,82854297,83179758,83331244,83410558,83456950,84044687,84464128,84493812,84577847,84593187,84832624,84895948,85196591,85300682,85352414,85536338,85762040,86103527,86190887,86249087,86477522,86630665,86800391,86827993,87088848,87118247,87164917,87233591,87362757,87413888,87416402,87498028,87794161,87848745,87906385,88219872,88294789,88376250,88408487,88452025,88493927,89053898,89083260,89118287,89259647,89516600,89753522,89925585,89993704,90047567,90187607,90219218,90782209,91051391,91275924,92001345,92017391,92108052,92163304,92163628,92194335,92271141,92900388,92946407,93082247,93488567,93650591,93705328,93713644,94268000,94291041,94295807,94322228,94384562,94614602,95016167,95022144,95279254,95360927,95436702,95547192,95762642,95795590,95920624,96482295,96495592,96501700,96674327,96678482,96700391,96907082,96986567,97197375,97245887,97512550,97616233,97771017,97834348,97974954,97993391,98134768,98147207,98340624,98785007,98861207,99139991,99247356,99253758,99543767,99895391,...,120655497696001651443222241277579618883347922316482079212768721373228818015891211103251678724472004085472280343994572873437852092402346211192376473621176281539829028913698508762676747100956825455051095428556300649759641093529159508876801921655489760255533452974689205879459945912866726032280208688304112149488695214524621164574839374212164101059224294178570179913463494141862089870416961572347082840190822454815207524137298959546497896494863018076230055804820401065929382514588681755175570080344626288322952831027207865708940100565455992662802662901064953323631791822279293397395005159061009929233485097377708707360998529829907427120391270939761245297217952886171427120749469212459118449503997616809369278794695117474791194336827400480467466769124567760639153450657751134585101138272346661379907306554333332324788061562535872797316149010400769309065441548170492927336080101025182086513605882886295195702290701592641113325826740756118686141059591836492439561797292579288565907897353095236687255613556289735009186468587026330082931020843441936618428382455603918169452806676955761489005962634886975736909863494916291804109189897391234442208139409334972746976449404873645947672637150744105960484886576201883794438502917614555470948931313027662628160918343385296752729547214121179294676092214912334448938121638576733160909757916539759751071332939357956734567006626157372523264698105777441342940556922969433632136846770379028550196098597963896490339549934505455470482995406260216067799957110333401721717890043223816776976992437119919792603879603724746130426761232813750827428405080909579641170714329538851952574375097742082485889247717658141893321252384882651914669733813716390505057990535439476830500275958461544180277588658550895843687266087325045444057554479047690952748777385222884526617718599539636606184926372876428530342274900152807238104130135366920772055016807463635022465900525839933263584775569308203736703807319634385628013433553006842889107971106363107802053613812882128233021266382021266193743529605065160639071100974695832122520968591490698425188113052098336055123313856591904648794088645869768417001819515505189980729397914553349284117041663602690455951489519456238743754643110613870388945460139869121250462357303488892662425428122180088699702086958486221602209544800536405126812389942415969191409322982041406125266899387610052930503395401935492248431743436382785875247669227524754231770274603449709370413823646526479502270483682524307861500457088906453508328399234747575926075309918168040354992072576831935036305377461776569507138480024572705536754230548960178878749568332828851867254328504332643968831826307500584561092027382816014927722875949026463673828000379938411066189340723285638806883774393321832380442169204771318566636510331082656681206306612549945239431048482672485938890340327057731919712627010932807165477649264914842961506761715388830060036146981677395950831058332630391848498032241537505874054380153419137140496171965743565101167124828889773501574091698569216895804203502904166690755355980474680014332725201435389712227758994263743277790706693764378518434900533960739537145759372322142434316444282151110461510824254080512797117553616689270732945790386794661919385924099021210953873027881477646582223529269117775015028991742551026791475849042807868930034065099798657914502424947086941272264360959278151656370405356153184941136149880540901087540330225338236126449044211931467221395957966059473066483444100362530814692671897474856810153128197163171682250908267570758736453653323471011635203654732747490014715538047197771979035137267117991057856657137913408130080957035891785987542070405583357332964845402941774212999029722224934273511621728153829998076125562824444912635373266322358483589458830611403690965852901851136228252285281}
23593 173295402268722771447202435977477241279733467531348018743032439879851155089527: {23593,825335,990402,1179050,1414860,1509184,1626123,1697832,1910061,2049807,2896527,3134411,3651335,3742383,3793643,3982823,4164987,4381602,4477730,4782071,4924667,5207423,5373276,5419490,5608946,5819567,6099191,6503388,6740162,6831530,7043543,7586642,7608911,7744331,8012780,8197836,8713130,8812562,9219387,9286055,9490247,9615336,9848498,10413962,10455756,10817253,10838060,11063330,11133947,11143266,11406428,11919842,12153423,12535516,12546287,13005672,13157183,13275996,13407627,13615946,14631381,14638631,14806031,15487346,15928588,16060418,16326543,16546511,16783307,17156776,17460002,17574267,17623628,17755946,17907880,17989743,18393335,18405003,18567143,18820047,18877727,19224827,19301373,20146365,20478063,20581826,20855051,20912330,21232178,21489456,21698807,21719307,22072002,22124780,22266002,22431976,22613291,22813931,22977825,23274316,24175638,24509680,24942860,25068904,25090442,25094796,25235973,25353263,26524490,26549736,26776751,26956072,27075567,27219885,27573390,27896367,28144127,28202517,28340956,28754882,29034544,29411616,29609546,29792930,29868453,29931432,29944587,30042825,30048524,30325581,30341416,31401026,31556471,31829388,31854472,32045680,32285735,32404625,32591330,32650943,32663862,32983127,33088068,33563762,33574425,33672861,34024827,34134093,34402322,34838283,35244687,35751516,35812720,35836281,36051390,36661298,36721058,36830636,37441271,38454816,38625287,38742882,38885550,38892603,38918891,39109596,39177935,39296847,39387304,39451463,40049762,40289310,40417405,40487080,40508283,40635825,40881064,40882151,41101223,41446367,41477920,41648776,42056385,42308738,42460748,42523023,42766845,42905522,42975264,43261668,43344880,43981055,44310717,44532363,44860144,44933583,44971346,45028893,45044687,45289036,45385847,45547965,45617968,45654671,45991197,46662660,46854873,46936443,47013522,47773943,48052396,48347172,48500886,48584496,48662108,48762990,48766535,49332747,49620623,49773504,50026571,50067125,50467662,50538345,51293951,51320214,51633911,52013856,52368263,52777266,52854335,52912623,53487530,53549663,53605825,53907568,54045544,54244091,54657558,54748946,54751425,55057847,55255442,55457884,55995192,56080047,56577611,56677096,57264267,57739150,58369451,58401520,58515588,58519842,58840203,59868501,60019887,60080550,60646014,60801237,61981707,62207243,62796716,62994591,63017135,63165431,63425202,63502285,63761733,63803426,64085920,64101167,64185036,64244780,64326990,64328763,64442231,64719183,64762007,65604428,65701710,65713535,65794701,65889147,66077385,66278703,66386735,67711943,67948811,68009512,68248490,68615456,68646280,68999547,69286980,69490091,69852911,70081824,70482544,70936527,71272025,71466530,71639596,71706705,71766443,72085583,72096660,72266666,72382425,73121087,73762730,73906112,74228546,74794287,74904587,74908907,75041785,75620562,75906825,76029047,76202742,76487152,76510701,76579750,76642984,76741202,76806818,76903104,77093736,77192388,77207920,77227065,78212780,78327025,78744491,78842052,78856242,79037258,79158284,79292862,79395087,79664082,79860482,80115167,80158863,80535863,80606282,80642891,80967280,81518567,81898188,81905356,81992162,82064523,82375536,82484500,83099735,83144376,83352623,83384930,83603793,83930546,83973362,84194351,84433643,84479327,84656891,85365125,85526430,85709663,85759836,85859643,85867922,86048046,86223357,86515992,86730453,86858910,87371643,88126347,88216331,88515276,88867490,88895653,89790071,90050142,90236330,90570376,90717550,90761007,91088190,91228192,91676711,91895700,92060330,92360735,92649504,92672478,93174818,93471784,93537423,93855336,93992430,94063101,94076567,94561751,95153291,95226527,95252943,95443943,95539682,96525676,96733307,97069730,97160736,97330491,98022080,98114905,98230287,98577143,98981400,99066268,99240424,99343227,99528325,99719682,...,160873996928002201924296321703439491844463896421976105617024961830971757354521614804335571632629338780629707125326097164583802789869794948256501964828235042053105371884931345016902329467942433940068127238075067533012854791372212678502402562207319680340711270632918941172613261217155634709706944917738816199318260286032828219433119165616218801412299058904760239884617992189149453160555948763129443786921096606420276698849731946061997195326484024101640074406427201421239176686118242340234093440459501717763937108036277154278586800753941323550403550534753271098175722429705724529860006878748013238977980129836944943147998039773209902827188361253014993729623937181561902827665958949945491266005330155745825705059593489966388259115769867307289955692166090347518871267543668179446801517696462215173209742072444443099717415416714497063088198680534359078753922064227323903114773468033576115351474510515060260936387602123521484434435654341491581521412789115323252749063056772384754543863137460315583007484741719646678915291449368440110574694457922582157904509940805224225937075569274348652007950179849300982546484659888389072145586529854979256277519212446630329301932539831527930230182867658807947313182101602511725918003890152740627931908417370216837547891124513729003639396285494905726234789619883112598584162184768977547879677222053013001428443919143942312756008834876496697686264141036588457254075897292578176182462360505371400261464797285195320452733246007273960643993875013621423733276147111202295623853390965089035969323249493226390138506138299661507235681643751667769904540107879439521560952439385135936765833463656109981185663623544189191095003179843535886226311751621854006743987380585969107333701277948725573703451544734527791583021449766727258743405972063587936998369846963846035490291466052848808246568497168571373789699866870409650805506847155894362740022409951513363287867367786577684779700759077604982271743092845847504017911404009123852143961475150810402738151750509504310695021842695021591658039473420214185428134632927776163361291455320931233584150736131114740164418475455872865058784861159691222669092687340253307639197219404465712156055551470253941268652692608318325006190814151827185260613519825495000616476404651856883233904162906784932936115944648295469612726400715206835749853256554625588545763976055208167022532516813403907337860535913989664575657915177047833663558970033005642360366137932945827218431528701972669693978243365743815333942785208604677771198979663434568100413224224053806656096769109246715073836615702092676184640032763607382338974065280238504999424443771802489672438005776858625109101743334112748122703177088019903630501265368618231770667173251214754919120964380851742511699191095776507256225606361758088848680441443542241608408816733260319241397976896647918520453769410309226283502681243742887303532353219790615342348953851773413381529308903194601108077776840522464664042988716674498739173537892182853994895954324753468222833105186364668765455598092289194405604670538888921007141307299573352443633601913852949637011992351657703720942258352504691246534045280986049527679163096189912421925709534813948681099005440683729490071488919027643927720515726215892514565465361614605164037175303528776298039025490366686705322323401369055301132057077158573378753466398210552669899929449255029685814612370868875160540474870913254848199840721201450053773633784314835265392282575289628527943954745964088644592133816707752923562529966475746870837596217562243001211023427678315271537764628015513604872976996653352954050729597029305380183022823988077142209517217877506774609381189047983389427207444476443953127203922365617332039629633245698015495637538439997434834083765926550180497688429811311452611774148538254621137202468181637669713708}
23594 173909288238288502562287481508048388312198410490660045147200790309803908566404: {306553,518782,730453,871609,1320536,1366654,1460782,1485603,1768575,1886480,2025214,2122290,2168164,2263776,2279209,2495134,2546748,2733076,2870782,3819253,3862036,3902494,4989844,5211733,5553316,5842136,6572403,6597013,6716595,7164368,8059914,8129235,8413419,8524309,8671184,9032014,9209209,9755082,9755833,10015975,10110243,10247295,10422574,10709653,10930448,11379963,12019170,12066133,12292516,12296754,12471673,12639982,12820448,13069695,13100782,13218843,13280809,13547575,13818793,13941008,14258035,14423004,14489653,14572654,14772747,14857688,15012179,15425833,15620943,15669395,15683634,16204564,16257090,16594995,16714899,16757113,17109642,17340896,17701328,17778094,17876836,17879763,17949109,18051934,18477013,18803274,19398073,19418974,19508508,19627979,19910735,19913994,19922809,20055694,20423919,20782414,21326782,21445970,21768724,21935291,22029535,22384850,23047033,23231019,23432356,23586563,23692693,23892882,23950453,23986324,24039982,24090627,24540004,24593593,25093396,25405226,25735164,25874473,25930654,26190003,26289982,26435442,26548739,26633919,26861820,27148153,27304084,27545614,27655975,27872663,28039970,28440574,28652608,28793173,28959076,28976782,29045173,29092895,29422633,29429336,30637100,30872739,31178575,31336130,31359691,31368495,31549333,31649182,31848267,32046709,32234184,32542933,32790613,33108003,33187170,33399003,33459728,33511294,33647964,33695090,33776734,33778453,34024693,34463891,34516309,34911474,35129209,35399648,35426195,35770931,36100756,36263457,36293180,36349609,36442679,36764520,36862894,37195156,37414290,37477774,37560655,37603356,37635663,37642194,37683733,37926770,38287273,38768809,38792734,39215488,39252626,39786735,39818090,39824604,39908576,39915722,39926116,40057100,40104094,40434108,40564309,41360085,41870713,42439184,42511434,42629182,43050793,43132323,43149934,43520809,43551816,43792463,43929982,44117424,44414319,44689395,44765900,44897148,45072786,45366436,45389353,45512124,46003774,46038295,46089982,46316713,46451044,46992916,47101539,47124373,47169122,47289851,47295214,47381182,47668688,47744082,47781708,47810782,48068520,48614953,48886995,48995793,49097182,49185013,49234130,49592459,49632102,49866709,49867294,50345643,50465374,50545813,50608850,51101330,51273088,51559609,51603483,51657176,51659182,51847400,51856804,52060970,52146128,52232233,52395796,53075935,53627274,53719080,53783182,54011044,54077085,54181100,54455593,54714574,54991947,55081587,55245954,55446709,55812814,56075180,56541109,56611295,56697364,57022460,57300352,57497134,57682224,58001182,58114323,58328325,58664394,58756174,58839982,59080956,59138293,59376484,59508323,59781109,59911444,60038524,60065495,60074643,60433965,60730620,60827635,60952873,61321596,61672226,61799593,62096014,62216880,62473164,62581924,62684696,62851513,63463107,63507694,63691122,63756334,64358283,64462896,64584094,64623253,64667848,64779328,64892502,65017320,65037109,65492782,65536867,65575294,65776996,66169273,66234814,66364672,66476533,66926258,67062611,67089109,67290216,67384460,67457019,67556930,67933554,68003113,68426952,68453134,69212713,69322355,69351808,69517054,69993990,70369688,70415182,70520283,70550164,70846370,71106709,71502133,71699413,72078594,72485653,72520758,72751329,72876744,72935854,72993162,73001900,73144485,74044309,74110322,74141113,74392414,74660256,74773396,74862271,75105193,75279982,75615839,75701493,75763294,76085182,76352356,76442809,76567534,76917109,76980321,78011134,78020784,78026456,78453604,78495895,79165899,79168693,79249079,79817593,79824668,80026516,80094613,80107400,80231295,80305975,80738473,80861352,81068316,81104809,81597454,81787811,81986337,82005535,82123419,82377913,82642276,82883163,83186826,83368309,83654782,83815609,83904853,83992788,84566936,85011890,85015644,85544254,85580048,85769320,85771684,85807850,86025109,86093614,86112553,86292244,86485534,86608725,86835371,87502654,87602280,87674233,87726268,87773382,87779763,87852196,88103180,88371604,88828654,89062174,89549495,89839534,90120825,90225193,90227614,90692782,90789923,90969021,91641973,91999396,92054713,92076803,92382640,92383609,93119413,93442432,94010809,94195074,94332793,94493353,94571666,94582036,94623454,95137803,95212309,95562299,95608940,95609209,95705139,95803730,96004309,96077182,96128880,96277554,96367170,96490485,96509900,96710953,96763774,96916174,97043051,97765975,98284894,98406642,98413753,98552565,98576114,98947855,99725716,...,241310995392003302886444482555159237766695844632964158425537442746457636031782422206503357448944008170944560687989145746875704184804692422384752947242352563079658057827397017525353494201913650910102190857112601299519282187058319017753603843310979520511066905949378411758919891825733452064560417376608224298977390429049242329149678748424328202118448588357140359826926988283724179740833923144694165680381644909630415048274597919092995792989726036152460111609640802131858765029177363510351140160689252576645905662054415731417880201130911985325605325802129906647263583644558586794790010318122019858466970194755417414721997059659814854240782541879522490594435905772342854241498938424918236899007995233618738557589390234949582388673654800960934933538249135521278306901315502269170202276544693322759814613108666664649576123125071745594632298020801538618130883096340985854672160202050364173027211765772590391404581403185282226651653481512237372282119183672984879123594585158577131815794706190473374511227112579470018372937174052660165862041686883873236856764911207836338905613353911522978011925269773951473819726989832583608218379794782468884416278818669945493952898809747291895345274301488211920969773152403767588877005835229110941897862626055325256321836686770593505459094428242358589352184429824668897876243277153466321819515833079519502142665878715913469134013252314745046529396211554882685881113845938867264273693540758057100392197195927792980679099869010910940965990812520432135599914220666803443435780086447633553953984874239839585207759207449492260853522465627501654856810161819159282341428659077703905148750195484164971778495435316283786642504769765303829339467627432781010115981070878953661000551916923088360555177317101791687374532174650090888115108958095381905497554770445769053235437199079273212369852745752857060684549800305614476208260270733841544110033614927270044931801051679866527169551138616407473407614639268771256026867106013685778215942212726215604107227625764256466042532764042532387487059210130321278142201949391664245041937182981396850376226104196672110246627713183809297588177291739536834003639031010379961458795829106698568234083327205380911902979038912477487509286221227740777890920279738242500924714606977785324850856244360177399404173916972443204419089601072810253624779884831938382818645964082812250533798775220105861006790803870984496863486872765571750495338455049508463540549206899418740827647293052959004540967365048615723000914177812907016656798469495151852150619836336080709984145153663870072610754923553139014276960049145411073508461097920357757499136665657703734508657008665287937663652615001169122184054765632029855445751898052927347656000759876822132378681446571277613767548786643664760884338409542637133273020662165313362412613225099890478862096965344971877780680654115463839425254021865614330955298529829685923013523430777660120072293963354791901662116665260783696996064483075011748108760306838274280992343931487130202334249657779547003148183397138433791608407005808333381510711960949360028665450402870779424455517988527486555581413387528757036869801067921479074291518744644284868632888564302220923021648508161025594235107233378541465891580773589323838771848198042421907746055762955293164447058538235550030057983485102053582951698085615737860068130199597315829004849894173882544528721918556303312740810712306369882272299761081802175080660450676472252898088423862934442791915932118946132966888200725061629385343794949713620306256394326343364501816535141517472907306646942023270407309465494980029431076094395543958070274534235982115713314275826816260161914071783571975084140811166714665929690805883548425998059444449868547023243456307659996152251125648889825270746532644716967178917661222807381931705803702272456504570562}
23595 174525334687558765859542196465745384459613037571388482642941461021580418092105: {47186,778173,1155469,1650670,1980804,2049981,2191173,2358100,2710205,2829720,3018368,3037821,3183435,3252246,3395664,3416345,3742701,3820122,4099614,4306173,4407029,4827545,5111869,5793054,5820061,5853741,5960933,6237305,6268822,6809129,6941645,7302670,7484766,7587286,7965646,8329974,8504077,8763204,8955460,9564142,9849334,10414846,10746552,10838980,11217892,11609657,11639134,12089871,12168629,12198382,12457421,13000477,13006776,13158301,13480324,13548021,13663060,13718573,14087086,14632623,15173284,15217822,15365645,15488662,15633861,16025560,16395672,16405289,16547917,17426260,17625124,18028755,18438774,18445131,18572110,18801269,18959973,18980494,19230672,19651173,19696996,19794617,20255705,20827924,20911512,21634506,21676120,21858981,22126660,22189733,22267894,22286532,22310041,22346045,22812856,23525451,23839684,24306846,24385635,25071032,25092574,25664463,25750669,26011344,26314366,26551992,26667141,26815254,27077901,27210905,27231892,28204911,29128461,29262762,29277262,29290445,29612062,29870991,29926957,29982905,30083541,30675005,30974692,31173621,31366745,31857176,31990173,32120836,32168955,32653086,33093022,33261241,33566614,33577275,34130105,34313552,34920004,35148534,35247256,35268997,35334629,35511892,35815760,35839323,35979486,36059973,36198845,36786670,36810006,37134286,37640094,37755454,38107839,38296375,38449654,38602746,38895981,39434973,39653163,40292730,40956126,41163652,41318421,41710102,41824660,42059955,42464356,42660861,42978912,43017029,43397614,43438614,43465173,43468141,44144004,44249560,44532004,44863952,45125945,45200029,45226582,45366475,45627862,45936661,45955650,45995053,46493945,46548632,47004195,47473773,48351276,48803269,49019360,49780755,49885720,49907645,50071375,50137808,50180884,50189592,50266941,50471946,50542635,50665101,50706526,52216469,52367211,53032729,53048980,53099472,53553502,53912144,54151134,54439770,54849109,55146780,55294341,55792734,55957375,56121435,56216661,56288254,56405034,56463291,56584367,56681912,56708045,56890155,57509764,58063805,58069088,58189101,58322429,58741145,58823232,58878939,59219092,59585860,59727135,59736906,59862864,59873583,59889174,60085650,60097048,60156141,60651162,60682832,60969941,61573477,62802052,63112942,63658776,63708944,63767151,63943773,64091360,64106653,64422413,64571470,64724901,64809250,64821005,65182660,65301886,65327724,65494745,65894973,65945429,65966254,66176136,67127524,67148850,67345722,67467653,67513805,67609179,67726375,68049654,68268186,68273149,68804644,69005661,69134973,69676566,70093975,70489374,70753683,70871705,70942821,71071773,71203157,71278075,71503032,71616123,71625440,71672562,71716173,72102780,72793277,73322596,73442116,73645773,73661272,73851195,73996069,74220605,74448153,74800941,74882542,74889305,75048155,75066893,75698061,75913275,76651995,76909632,77250574,77485764,77488773,77771100,77785206,77837782,78091455,78219192,78227405,78355870,78593694,78774608,78902926,79737781,80099524,80440911,80578620,80674773,80834810,80974160,81016566,81271650,81762128,81764302,82071861,82124653,82202446,82221245,82868931,82892734,82955840,83297552,83719221,84112770,84230575,84617476,84921496,85046046,85533690,85811044,85950528,86245701,86523336,86689760,87001773,87343033,87962110,87996591,88134261,88187705,88223989,88259973,88621434,88903199,89064726,89720288,89867166,89942692,90057786,90089374,90578072,90771694,91095930,91235936,91252375,91309342,91982394,91998949,92508339,92941429,93104621,93144021,93325320,93466745,93709746,93872886,94027044,94681561,94826357,95261541,95440445,95536683,95547886,95634501,96104792,96694344,96876141,97001772,97168992,97324216,97338753,97525980,97533070,97745813,98067005,98128997,98239173,98362941,98665494,99241246,99352221,99536309,99547008,99780835,...,361966493088004954329666723832738856650043766949446237638306164119686454047673633309755036173416012256416841031983718620313556277207038633577129420863528844619487086741095526288030241302870476365153286285668901949278923280587478526630405764966469280766600358924067617638379837738600178096840626064912336448466085643573863493724518122636492303177672882535710539740390482425586269611250884717041248520572467364445622572411896878639493689484589054228690167414461203197788147543766045265526710241033878864968858493081623597126820301696367977988407988703194859970895375466837880192185015477183029787700455292133126122082995589489722281361173812819283735891653858658514281362248407637377355348511992850428107836384085352424373583010482201441402400307373703281917460351973253403755303414817039984139721919662999996974364184687607618391948447031202307927196324644511478782008240303075546259540817648658885587106872104777923339977480222268356058423178775509477318685391877737865697723692059285710061766840668869205027559405761078990248793062530325809855285147366811754508358420030867284467017887904660927210729590484748875412327569692173703326624418228004918240929348214620937843017911452232317881454659728605651383315508752843666412846793939082987884482755030155890258188641642363537884028276644737003346814364915730199482729273749619279253213998818073870203701019878472117569794094317332324028821670768908300896410540311137085650588295793891689471018649803516366411448986218780648203399871331000205165153670129671450330930977311359759377811638811174238391280283698441252482285215242728738923512142988616555857723125293226247457667743152974425679963757154647955744009201441149171515173971606318430491500827875384632540832765975652687531061798261975136332172663437143072858246332155668653579853155798618909818554779118629285591026824700458421714312390406100762316165050422390905067397701577519799790754326707924611210111421958903156884040300659020528667323913319089323406160841438646384699063799146063798581230588815195481917213302924087496367562905774472095275564339156295008165369941569775713946382265937609305251005458546515569942188193743660047852351124990808071367854468558368716231263929331841611166836380419607363751387071910466677987276284366540266099106260875458664806628634401609215380437169827247907574227968946124218375800698162830158791510186205806476745295230309148357625743007682574262695310823810349128111241470939579438506811451047572923584501371266719360524985197704242727778225929754504121064976217730495805108916132385329708521415440073718116610262691646880536636248704998486555601762985512997931906495478922501753683276082148448044783168627847079391021484001139815233198568022169856916420651323179965497141326507614313955699909530993247970043618919837649835718293145448017457816671020981173195759137881032798421496432947794744528884520285146166490180108440945032187852493174997891175545494096724612517622163140460257411421488515897230695303501374486669320504722275095707650687412610508712500072266067941424040042998175604306169136683276982791229833372120081293135555304701601882218611437278116966427302949332846453331384532472762241538391352660850067812198837371160383985758157772297063632861619083644432939746670587807353325045086975227653080374427547128423606790102195299395973743507274841260823816793082877834454969111216068459554823408449641622703262620990676014708379347132635794401664187873898178419199450332301087592444078015692424570430459384591489515046752724802712276209360959970413034905610964198242470044146614141593315937105411801353973173569971413740224390242871107675357962626211216750071998894536208825322638997089166674802820534865184461489994228376688473334737906119798967075450768376491834211072897558705553408684756855843}
23596 175143549170445628556927826710952786304696584730300638973493056531112577065251: {70779,613106,683443,1037564,1106803,1388683,1460906,1743218,2476005,2641072,2733308,2921564,2947625,2971206,3213883,3493603,3537150,3772960,4050428,4191643,4244580,4336328,4527552,4558418,4609603,4878369,4990268,5093496,5304763,5466152,5582323,5730183,5741564,5998123,6136579,6149421,6274963,7379443,7638506,7724072,7804988,8689581,9403233,9979688,10423466,10954005,11073043,11106632,11194325,11227149,11380929,11684272,11751283,11948469,12494961,12832723,13102363,13144806,13194026,13433190,13548725,13640779,14022365,14328736,14346213,14774001,14981779,15115483,15622269,16119828,16258470,16448563,16826838,16850405,16979779,17048618,17078825,17342368,17458701,18064028,18297573,18418418,18434683,18829963,18966605,19487323,19510164,19511666,19961249,20031950,20142883,20220486,20494590,20845148,21130629,21419306,21578779,21782825,21860896,21937153,22031405,22098763,22228579,22759926,22826733,23232993,24038340,24132266,24585032,24593508,24621245,24943346,25279964,25640896,26034905,26089579,26139390,26201564,26437686,26561618,26599483,27095150,27489043,27637586,27658161,27658325,27858165,27875029,27882016,28470741,28516070,28753723,28846008,28979306,29145308,29383363,29545494,29715376,29799605,30024358,30387043,30841349,30851666,31241886,31338790,31362353,31367268,31883923,32409128,32451759,32514180,32876083,33189990,33401841,33429798,33514226,33617179,34039865,34219284,34355683,34681792,34846579,35402656,35556188,35580763,35753672,35759526,35898218,36103868,36460269,36555643,36954026,37061453,37606548,37638861,37888579,38718365,38796146,38837948,39017016,39255958,39471549,39692179,39821470,39827988,39845618,40111388,40151045,40222881,40730053,40847838,41479579,41564828,42190003,42653564,42780043,42891940,43133203,43537448,43650005,43720363,43870582,43894143,43915893,43954723,44059070,44389865,44418093,44769700,45703243,46094066,46462038,46864712,47173126,47320579,47385386,47785764,47900906,47972648,48079964,48181254,48456749,48467179,48979629,49080008,49187186,49596673,49639533,50186792,50349921,50810452,51189643,51454565,51470328,51748946,51751603,51754729,51861308,52280825,52380006,52579964,52584917,52722801,52870884,53080445,53097478,53267838,53723640,53969229,54202843,54296306,54608168,55091228,55180005,55195579,55215009,55311950,55634923,55665005,55701429,55745326,56079940,56291779,56401003,56460141,56633181,56881148,57305216,57586346,57674481,57904119,57918152,57953564,58030723,58090346,58185790,58845266,58858672,58893283,59000779,59644243,60071779,60439095,61029523,61241563,61274200,61434189,61745478,62357150,62565153,62672260,62719382,62726105,62736990,63098666,63298364,63346123,63696534,63867763,64093418,64453613,64468368,65085866,65096421,65157921,65318779,65581226,66216006,66311225,66374340,66798006,66919456,66959803,67022588,67295928,67390180,67553468,67556906,67773403,67839873,68049386,68441793,68884579,68927782,68933475,69032618,69487003,69787243,69822948,70258418,70799296,70852390,70882579,71541862,71887205,72201512,72264043,72362179,72526914,72586360,72699218,72885358,72949483,73242163,73529040,73725788,74023865,74306309,74390312,74482325,74828580,74955548,75121310,75206712,75271326,75272779,75284388,75367466,75707919,75751579,75853540,76059789,76574546,77452661,77537618,77585468,78430976,78502565,78505252,78586579,78679963,79255813,79573470,79636180,79649208,79817152,79831444,79852232,80114200,80208188,80330253,80348563,80440579,80532523,80868216,81128618,81226701,81478325,81659655,81721243,82720170,83526283,83669597,83689101,83741426,83909405,84091693,84432381,84607551,84878368,85022868,85158689,85258364,85302523,86005805,86101586,86179843,86264646,86267179,86299868,87041618,87103632,87136579,87584926,87859964,87912883,88084603,88234848,88473593,88512643,88828638,89378790,89531800,89605359,89794296,89833761,90122779,90128475,90145572,90206803,90732872,90778706,90976743,91024248,91292563,91653245,91802645,92007548,92076590,92179964,92633426,92902088,93020779,93102283,93985832,94203078,94248746,94338244,94579702,94590428,94669413,94762364,95036779,95337376,95488164,95563416,95621564,96137040,96857205,97051297,97085683,97213875,97229906,97773990,97952829,97991586,98194364,98370026,98468260,98949381,99184918,99237763,99264204,99616123,99733418,99734588,99766963,...,482621990784006605772888965110318475533391689265928316851074885492915272063564844413006714897888016341889121375978291493751408369609384844769505894484705126159316115654794035050706988403827301820204381714225202599038564374116638035507207686621959041022133811898756823517839783651466904129120834753216448597954780858098484658299357496848656404236897176714280719653853976567448359481667846289388331360763289819260830096549195838185991585979452072304920223219281604263717530058354727020702280321378505153291811324108831462835760402261823970651210651604259813294527167289117173589580020636244039716933940389510834829443994119319629708481565083759044981188871811544685708482997876849836473798015990467237477115178780469899164777347309601921869867076498271042556613802631004538340404553089386645519629226217333329299152246250143491189264596041603077236261766192681971709344320404100728346054423531545180782809162806370564453303306963024474744564238367345969758247189170317154263631589412380946749022454225158940036745874348105320331724083373767746473713529822415672677811226707823045956023850539547902947639453979665167216436759589564937768832557637339890987905797619494583790690548602976423841939546304807535177754011670458221883795725252110650512643673373541187010918188856484717178704368859649337795752486554306932643639031666159039004285331757431826938268026504629490093058792423109765371762227691877734528547387081516114200784394391855585961358199738021821881931981625040864271199828441333606886871560172895267107907969748479679170415518414898984521707044931255003309713620323638318564682857318155407810297500390968329943556990870632567573285009539530607658678935254865562020231962141757907322001103833846176721110354634203583374749064349300181776230217916190763810995109540891538106470874398158546424739705491505714121369099600611228952416520541467683088220067229854540089863602103359733054339102277232814946815229278537542512053734212027371556431884425452431208214455251528512932085065528085064774974118420260642556284403898783328490083874365962793700752452208393344220493255426367618595176354583479073668007278062020759922917591658213397136468166654410761823805958077824954975018572442455481555781840559476485001849429213955570649701712488720354798808347833944886408838179202145620507249559769663876765637291928165624501067597550440211722013581607741968993726973745531143500990676910099016927081098413798837481655294586105918009081934730097231446001828355625814033313596938990303704301239672672161419968290307327740145221509847106278028553920098290822147016922195840715514998273331315407469017314017330575875327305230002338244368109531264059710891503796105854695312001519753644264757362893142555227535097573287329521768676819085274266546041324330626724825226450199780957724193930689943755561361308230927678850508043731228661910597059659371846027046861555320240144587926709583803324233330521567393992128966150023496217520613676548561984687862974260404668499315559094006296366794276867583216814011616666763021423921898720057330900805741558848911035977054973111162826775057514073739602135842958148583037489288569737265777128604441846043297016322051188470214466757082931783161547178647677543696396084843815492111525910586328894117076471100060115966970204107165903396171231475720136260399194631658009699788347765089057443837112606625481621424612739764544599522163604350161320901352944505796176847725868885583831864237892265933776401450123258770687589899427240612512788652686729003633070283034945814613293884046540814618930989960058862152188791087916140549068471964231426628551653632520323828143567143950168281622333429331859381611767096851996118888899737094046486912615319992304502251297779650541493065289433934357835322445614763863411607404544913009141124}
23597 175763939267100349104870820203070651628745055359234644903144770937821571909650: {94372,919659,1296955,1556346,2191359,2310938,2614827,3301340,3416635,3651955,3794287,3961608,4099962,4382346,4456809,4716200,4782883,4925503,5063035,5208307,5305725,5420410,5659440,5961439,6036736,6075642,6237835,6366870,6504492,6758563,6791328,6809707,6832690,6837627,7044739,7176955,7485402,7514683,7610203,7640244,8199228,8612346,8732227,8814058,9210787,9584443,9655090,9718303,9756235,10223738,11457759,11586108,11640122,11707482,11921866,12169663,12410323,12474610,12537644,12975499,13618258,13883290,14381107,14605340,14969532,15174572,15635199,15931292,16212859,16406683,16659948,17008154,17205547,17526408,17910920,18335323,19128284,19698668,19717209,19791039,19796299,20029987,20149785,20829692,21013183,21159763,21493104,21511903,21677960,22435784,22580035,23003563,23219314,23272159,23278268,24179742,24337258,24387705,24396764,24914842,25240257,25248763,25572927,26000954,26013552,26056435,26316602,26960648,27096042,27326120,27437146,27627627,28174172,28357987,28375363,29176939,29265246,29267499,30047925,30330729,30346568,30435644,30731290,30741885,30977324,31267722,31284463,31599955,32051120,32128959,32751955,32772223,32791344,32810578,33095834,33154267,34139889,34852520,35250248,35850463,36057510,36198399,36431635,36877548,36890262,37144220,37415019,37602538,37919946,37960988,38095267,38461344,39209085,39302346,39393992,39589234,39656529,39842427,40223899,40511410,40642725,41006623,41456379,41655848,41759107,41823024,41976067,42697387,42774105,42945007,43269012,43352240,43468959,43717962,43913443,44253320,44318241,44379466,44445235,44535788,44573064,44620082,44692090,45036537,45129835,45301843,45625712,46277499,46862829,47008185,47050902,47679368,47782147,48380323,48547435,48613692,48771270,49784985,50139235,50142064,50144697,50185148,50271339,50678383,50838307,51328926,51501338,51956035,52022688,52628732,53103984,53316955,53334282,53614925,53630508,53639289,53847327,54155802,54421810,54463784,54527779,55431039,55962125,56409822,56839243,58194219,58256922,58359583,58525524,58531027,58554524,58580890,58836283,58883937,59224124,59350723,59732205,59741982,59768427,59853914,59965810,60099955,60167082,61271757,61350010,61949384,62347242,62733490,63176323,63513065,63714352,63980346,64241672,64337910,64826635,64888507,65091523,65306172,65724955,65805873,66088605,66186044,66522482,67133228,67154550,68260210,68488687,68627104,68864035,68926507,69141099,69693057,69840008,69870703,70099925,70297068,70494512,70537994,70669258,70759689,71023784,71078079,71101435,71631520,71678646,71851359,71958972,71998723,72119946,72271881,72397690,72441955,73573340,73620012,73780779,74153899,74268572,75073339,75280188,75510908,76135579,76215678,76592750,76899308,77205492,77623419,77791962,77813503,77935507,78340325,78570009,78613183,78869946,79122955,79306326,79391263,79579999,79646217,79734499,79878619,79901757,80585460,81139003,81289327,81444459,81912252,82237603,82327304,82636842,82967925,83420204,83617989,83649320,83778235,83824603,84119910,84237725,84441835,84558787,84928712,85321722,85957824,86034058,86379519,86795228,86877228,86930346,86936282,87135519,87278685,87666283,88267899,88288008,88328899,88499120,88546387,88715419,89064008,89727904,90251890,90400058,90453164,90732950,90749407,91255724,91692643,91723423,91873322,91911300,91990106,92157235,92618217,92987890,93091363,93097264,93296443,93535725,93694435,94008390,94079073,94105485,94519327,94647999,94816925,94947546,95544801,95619883,96140127,96702552,96981835,97606538,97628799,97754239,98031907,98038720,98131565,98371839,99220387,99259963,99324009,99545225,99561510,99771440,99789305,99815290,...,723932986176009908659333447665477713300087533898892475276612328239372908095347266619510072346832024512833682063967437240627112554414077267154258841727057689238974173482191052576060482605740952730306572571337803898557846561174957053260811529932938561533200717848135235276759675477200356193681252129824672896932171287147726987449036245272984606355345765071421079480780964851172539222501769434082497041144934728891245144823793757278987378969178108457380334828922406395576295087532090531053420482067757729937716986163247194253640603392735955976815977406389719941790750933675760384370030954366059575400910584266252244165991178979444562722347625638567471783307717317028562724496815274754710697023985700856215672768170704848747166020964402882804800614747406563834920703946506807510606829634079968279443839325999993948728369375215236783896894062404615854392649289022957564016480606151092519081635297317771174213744209555846679954960444536712116846357551018954637370783755475731395447384118571420123533681337738410055118811522157980497586125060651619710570294733623509016716840061734568934035775809321854421459180969497750824655139384347406653248836456009836481858696429241875686035822904464635762909319457211302766631017505687332825693587878165975768965510060311780516377283284727075768056553289474006693628729831460398965458547499238558506427997636147740407402039756944235139588188634664648057643341537816601792821080622274171301176591587783378942037299607032732822897972437561296406799742662000410330307340259342900661861954622719518755623277622348476782560567396882504964570430485457477847024285977233111715446250586452494915335486305948851359927514309295911488018402882298343030347943212636860983001655750769265081665531951305375062123596523950272664345326874286145716492664311337307159706311597237819637109558237258571182053649400916843428624780812201524632330100844781810134795403155039599581508653415849222420222843917806313768080601318041057334647826638178646812321682877292769398127598292127597162461177630390963834426605848174992735125811548944190551128678312590016330739883139551427892764531875218610502010917093031139884376387487320095704702249981616142735708937116737432462527858663683222333672760839214727502774143820933355974552568733080532198212521750917329613257268803218430760874339654495815148455937892248436751601396325660317583020372411612953490590460618296715251486015365148525390621647620698256222482941879158877013622902095145847169002742533438721049970395408485455556451859509008242129952435460991610217832264770659417042830880147436233220525383293761073272497409996973111203525971025995863812990957845003507366552164296896089566337255694158782042968002279630466397136044339713832841302646359930994282653015228627911399819061986495940087237839675299671436586290896034915633342041962346391518275762065596842992865895589489057769040570292332980360216881890064375704986349995782351090988193449225035244326280920514822842977031794461390607002748973338641009444550191415301374825221017425000144532135882848080085996351208612338273366553965582459666744240162586271110609403203764437222874556233932854605898665692906662769064945524483076782705321700135624397674742320767971516315544594127265723238167288865879493341175614706650090173950455306160748855094256847213580204390598791947487014549682521647633586165755668909938222432136919109646816899283245406525241981352029416758694265271588803328375747796356838398900664602175184888156031384849140860918769182979030093505449605424552418721919940826069811221928396484940088293228283186631874210823602707946347139942827480448780485742215350715925252422433500143997789072417650645277994178333349605641069730368922979988456753376946669475812239597934150901536752983668422145795117411106817369513711686}
23598 176386512584003926129342590743360987681874338964143832290177037944812611049763: {117965,141558,400877,730577,871757,965837,1226212,1366886,1388801,1435757,1576577,2075128,2092301,2213606,2334519,2373197,2777366,2921812,3260801,3466407,3486436,3540497,3912977,4126675,4238477,4656401,4952010,5282144,5305217,5351501,5466616,5629037,5843128,5895250,5942412,6149943,6321617,6427766,6459917,6573519,6987206,7074300,7150337,7545920,8068097,8100856,8130615,8383286,8489160,8672656,9028301,9055104,9113463,9116836,9210797,9219206,9301997,9484301,9550305,9756738,9980536,9984977,10166801,10186992,10249035,10609526,10802177,10932304,11164646,11228103,11460366,11483128,11526401,11996246,12273158,12298842,12473837,12549926,12833837,12918519,13103501,13148417,13221087,13283117,13507457,14482635,14758886,15161357,15277012,15335607,15448144,15517517,15609976,15672055,15828737,16627217,16892801,17379162,17460183,17561223,17882799,17952257,18256675,18480257,18699917,18711915,18806466,18875501,18968215,19489037,19532801,19631311,19914115,19926317,19959376,20013677,20427387,20580737,20824935,20842001,20846932,21059501,21450497,21908010,22100717,22146086,22213264,22388650,22454298,22761858,23266577,23368544,23502566,23590567,23653901,23896938,23910355,24469457,24623335,24683597,24989922,25111277,25367501,25512231,25665446,25836497,26037115,26204726,26289612,26388052,26553247,26866380,26898797,27097450,27237677,27281558,27491501,27533777,27913901,28044730,28657472,28692426,28798337,29097835,29134337,29386001,29427917,29548002,29553617,29963558,30230966,30495955,30843967,31244538,31264301,31638017,31886801,32135297,32239656,32516940,32879057,32897126,32920301,33653676,33700810,33784577,33959558,34097236,34157650,34358801,34469743,34522577,34604417,34684736,34828971,34917402,35217197,35217715,35339537,35624717,35950157,36128056,36269613,36448867,36505887,36595146,36599501,36836836,36869366,37064599,37372263,37659926,37933210,38044555,38173697,38414801,38721655,38775917,38974646,39001431,39020328,39023332,39456257,39474903,39855377,39922498,40063900,40174097,40285766,40440972,40452557,40644063,40651217,40989180,41155719,41690296,41719447,42193901,42233297,42261258,42838612,42941057,43137197,43157558,43176401,43411457,43565650,43721792,43763501,43799899,43874306,43897869,43958801,44062810,44197526,44457158,44543501,44776877,45126401,45359057,45519852,45653466,45746177,46096935,46430275,46465986,46672001,46901583,47209937,47451235,47478317,47655811,48052097,48076680,48264532,48624077,49170064,49187016,49215867,49242490,49643751,49886692,49951697,50329217,50442317,50559928,51081857,51281792,51644237,51980801,52069810,52179158,52278780,52316717,52403128,52875372,53123236,53198966,53320577,53468801,54086265,54157543,54190300,54205711,54208001,54907277,54978086,55275172,55316322,55316650,55335393,55669735,55676801,55716330,55750058,55764032,56005517,56211463,56403807,56406401,56624657,56770001,56879919,56941482,57032140,57169037,57267067,57313901,57507446,57692016,57958612,58036301,58072337,58290616,58766726,58953519,59090988,59149697,59383851,59430752,59599210,59650001,60048716,60326477,60767115,60774086,61035437,61110007,61282817,61682698,61703332,61776401,62145811,62483772,62653901,62677580,62724706,62731435,62734536,63352301,63767846,63874001,63908717,64704977,64818256,64903518,65028360,65049857,65118737,65428301,65576943,65752166,65771501,65785915,66148097,66250637,66379980,66489617,66569199,66803682,66859596,66930123,67000397,67028452,67038135,67234358,67475501,68079730,68438568,68711366,69363584,69493901,69693158,69827501,70193537,70576353,70790417,70805312,71112376,71120897,71161526,71507344,71519052,71796436,72036391,72107537,72207736,72598157,72920538,73111286,73152017,73156905,73193155,73768301,73908052,74030155,74122906,74312623,74896001,75184397,75213096,75277722,75567917,75777158,75982097,76521677,76648301,76993389,76995857,77090477,77252007,77436730,77592292,77675896,77931007,78034032,78220301,78407597,78511916,78719117,78812417,78943098,79277837,79384358,79642940,79655976,79691236,79803137,80001423,80222776,80302090,80356817,80387501,80445762,80816237,81121517,81233703,81460106,81632715,81638657,81695676,81729677,81760001,82732555,82816301,82936397,82959158,83129656,83564801,83713901,83916535,84337937,84380006,84614733,85076237,85307128,85311437,85560086,85783880,86188877,86218001,86266406,86624897,86827757,86914577,87074896,87300010,87347597,87385383,87440726,87741164,87788286,87816547,87831786,87871335,87909446,87950801,88118140,88122497,88522001,88779730,88836186,89231501,89539400,89612973,89654801,89780871,89948715,90244397,90250623,91406486,91534963,91882001,91966675,92025015,92129357,92188132,92835715,92924076,93139457,93513079,93520863,93729424,93788801,94031117,94084877,94100235,94346252,94388635,94641158,94770772,94967297,95286017,95571528,95629997,95801812,95945296,95970519,96025217,96077777,96124135,96159928,96362508,96506865,96913498,96934358,96940397,97096301,97588097,97959258,98025677,98102657,98160016,98256401,98358737,98374372,98486477,98882251,98893901,99172817,99193346,99248717,99274001,99279066,99551597,99783723,99803117,...,1085899479264014862989000171498216569950131300848338712914918492359059362143020899929265108520248036769250523095951155860940668831621115900731388262590586533858461260223286578864090723908611429095459858857006705847836769841762435579891217294899407842299801076772202852915139513215800534290521878194737009345398256930721590481173554367909476909533018647607131619221171447276758808833752654151123745561717402093336867717235690635918481068453767162686070502243383609593364442631298135796580130723101636594906575479244870791380460905089103933965223966109584579912686126400513640576555046431549089363101365876399378366248986768469166844083521438457851207674961575975542844086745222912132066045535978551284323509152256057273120749031446604324207200922121109845752381055919760211265910244451119952419165758988999990923092554062822855175845341093606923781588973933534436346024720909226638778622452945976656761320616314333770019932440666805068175269536326528431956056175633213597093171076177857130185300522006607615082678217283236970746379187590977429565855442100435263525075260092601853401053663713982781632188771454246626236982709076521109979873254684014754722788044643862813529053734356696953644363979185816954149946526258530999238540381817248963653448265090467670774565924927090613652084829934211010040443094747190598448187821248857837759641996454221610611103059635416352709382282951996972086465012306724902689231620933411256951764887381675068413055949410549099234346958656341944610199613993000615495461010389014350992792931934079278133434916433522715173840851095323757446855645728186216770536428965849667573169375879678742373003229458923277039891271463943867232027604323447514545521914818955291474502483626153897622498297926958062593185394785925408996517990311429218574738996467005960739559467395856729455664337355887856773080474101375265142937171218302286948495151267172715202193104732559399372262980123773833630334265876709470652120901977061586001971739957267970218482524315939154097191397438191395743691766445586445751639908772262489102688717323416285826693017468885024496109824709327141839146797812827915753016375639546709826564581230980143557053374972424214103563405675106148693791787995524833500509141258822091254161215731400033961828853099620798297318782626375994419885903204827646141311509481743722722683906838372655127402094488490476374530558617419430235885690927445072877229023047722788085932471431047384333724412818738315520434353142718770753504113800158081574955593112728183334677789263512363194928653191487415326748397155989125564246320221154349830788074940641609908746114995459666805288956538993795719486436767505261049828246445344134349505883541238173064452003419445699595704066509570749261953969539896491423979522842941867099728592979743910130856759512949507154879436344052373450013062943519587277413643098395264489298843384233586653560855438499470540325322835096563557479524993673526636482290173837552866489421380772234264465547691692085910504123460007961514166825287122952062237831526137500216798203824272120128994526812918507410049830948373689500116360243879406665914104805646655834311834350899281908847998539359994153597418286724615174057982550203436596512113481151957274473316891190898584857250933298819240011763422059975135260925682959241123282641385270820370306585898187921230521824523782471450379248633503364907333648205378664470225348924868109787862972028044125138041397907383204992563621694535257598350996903262777332234047077273711291378153774468545140258174408136828628082879911239104716832892594727410132439842424779947811316235404061919520709914241220673170728613323026073887878633650250215996683608626475967916991267500024408461604595553384469982685130065420004213718359396901226352305129475502633218692676116660226054270567529}
23599 177011276754057957808369827653770131719929144076430414181517562266831202298259: {23599,188744,212337,1532765,1815737,1839318,2050329,2593910,3112692,3320409,3652265,4166049,4358045,4382718,4621876,4783289,5112737,5229654,5821049,6602680,6833270,7045337,7088249,7303910,7428015,7588574,7610849,7923216,8032937,8199924,8505521,8732969,8764692,8842875,8880989,8913618,9432400,9565766,9641649,9851006,10047737,10126070,10294409,10416614,10480809,10611450,10840820,11318880,11327069,11396045,11922878,12073472,12151284,12475670,12574929,12733740,13008984,13517126,13582656,13619414,13658729,13665380,13675254,13828809,13870361,14089478,14353910,14382329,14635107,14970804,15029366,15220406,15280488,15914289,16398456,16746969,17190549,17207009,17224692,17464454,17628116,17994369,18336881,18409737,18421574,18448263,18824889,19096265,19168886,19229729,19310180,19436606,19512470,20031689,20429321,20447476,21161561,22138329,22619057,22915518,23172216,23280244,23414964,23843732,24339326,24820646,24949220,25075288,25950998,26058665,26068743,26990057,27186029,27236516,27766580,28209699,28762214,29174669,29210680,29939064,30349144,31270398,31612049,31713641,31862584,32425718,32813366,32862015,32985065,33219129,33319896,33582975,33681447,34016308,34142787,34411094,34481837,35052816,35253849,35821840,35845407,36227369,36479009,36670646,37054769,37484883,38256568,38498169,38730809,39307089,39397336,39434418,39582078,39592598,40059974,40299570,40465337,40646175,40922337,41587421,41659384,42026366,42067095,42319526,42368729,42621545,42694049,42986208,42997961,43023806,43038639,43355920,43495469,44239937,44322003,44871568,44945337,45160070,45346449,45852737,46007126,46046045,46101149,46438628,46544318,46556536,46866807,47511689,47720609,48359484,48674516,48775410,48779165,48793528,49345689,49743149,49829684,50079875,50480514,50497526,50551215,50939337,51004289,51145854,51236475,51716897,52001908,52027104,52112870,52376103,52633204,53548265,53921296,54192084,54652240,54874292,54892719,55255254,55304049,55607537,56348344,56489889,56715974,56750726,56899815,58353878,58461969,58530492,58534998,58765997,59611889,59883747,60095850,60147377,60330665,60428649,60661458,60693136,60871288,61462580,61483770,61954648,62223329,62358365,62535444,62568926,63181769,63199910,63391887,64102240,64257918,64736337,65348475,65503910,65544446,65582688,65621156,65811459,66029549,66094215,66191668,66296289,66308534,66333161,66404045,66685737,67737875,67966409,68279778,68480199,69093965,69533789,69698979,69705040,70194929,70500496,71028617,71290175,71700926,72115020,72396798,72448265,72522449,72738449,72863270,73755096,73780524,73863735,74288440,74643737,74830038,75060895,75205076,75839892,75921976,76190534,76922688,77129165,77296589,78104715,78268737,78346975,78418170,78604692,78787984,79178468,79267961,79313058,79684854,79798449,80447798,80469161,81022820,81285450,82013246,82467129,82912758,82974483,82974975,83311696,83518214,83574495,83625087,83646048,83775137,83785565,83831777,83952134,84139937,85394774,85412223,85548210,85890014,86191457,86261169,86538024,86704480,86937918,87155249,87435924,87826886,88150089,88506640,88636482,88723037,88758932,88890470,88918291,89071576,89146128,89240164,89384180,89398815,89402249,89745545,90073074,90259670,90603686,90757289,90817037,91161129,91251424,92014937,92385065,92524047,92554998,92788769,92906489,93686321,93725658,94016370,94087059,94101804,94450361,95358736,95564294,95651769,95891549,96409649,96758321,96760646,96990365,97094870,97227384,97355277,97542540,97847489,98139895,98628249,98963609,99511457,99542009,99553675,99569970,99614045,...,1447865972352019817318666895330955426600175067797784950553224656478745816190694533239020144693664049025667364127934874481254225108828154534308517683454115378477948346964382105152120965211481905460613145142675607797115693122349914106521623059865877123066401435696270470553519350954400712387362504259649345793864342574295453974898072490545969212710691530142842158961561929702345078445003538868164994082289869457782490289647587514557974757938356216914760669657844812791152590175064181062106840964135515459875433972326494388507281206785471911953631954812779439883581501867351520768740061908732119150801821168532504488331982357958889125444695251277134943566615434634057125448993630549509421394047971401712431345536341409697494332041928805765609601229494813127669841407893013615021213659268159936558887678651999987897456738750430473567793788124809231708785298578045915128032961212302185038163270594635542348427488419111693359909920889073424233692715102037909274741567510951462790894768237142840247067362675476820110237623044315960995172250121303239421140589467247018033433680123469137868071551618643708842918361938995501649310278768694813306497672912019672963717392858483751372071645808929271525818638914422605533262035011374665651387175756331951537931020120623561032754566569454151536113106578948013387257459662920797930917094998477117012855995272295480814804079513888470279176377269329296115286683075633203585642161244548342602353183175566757884074599214065465645795944875122592813599485324000820660614680518685801323723909245439037511246555244696953565121134793765009929140860970914955694048571954466223430892501172904989830670972611897702719855028618591822976036805764596686060695886425273721966003311501538530163331063902610750124247193047900545328690653748572291432985328622674614319412623194475639274219116474517142364107298801833686857249561624403049264660201689563620269590806310079199163017306831698444840445687835612627536161202636082114669295653276357293624643365754585538796255196584255194324922355260781927668853211696349985470251623097888381102257356625180032661479766279102855785529063750437221004021834186062279768752774974640191409404499963232285471417874233474864925055717327366444667345521678429455005548287641866711949105137466161064396425043501834659226514537606436861521748679308991630296911875784496873503202792651320635166040744823225906981180921236593430502972030730297050781243295241396512444965883758317754027245804190291694338005485066877442099940790816970911112903719018016484259904870921983220435664529541318834085661760294872466441050766587522146544994819993946222407051942051991727625981915690007014733104328593792179132674511388317564085936004559260932794272088679427665682605292719861988565306030457255822799638123972991880174475679350599342873172581792069831266684083924692783036551524131193685985731791178978115538081140584665960720433763780128751409972699991564702181976386898450070488652561841029645685954063588922781214005497946677282018889100382830602749650442034850000289064271765696160171992702417224676546733107931164919333488480325172542221218806407528874445749112467865709211797331385813325538129891048966153565410643400271248795349484641535943032631089188254531446476334577731758986682351229413300180347900910612321497710188513694427160408781197583894974029099365043295267172331511337819876444864273838219293633798566490813050483962704058833517388530543177606656751495592713676797801329204350369776312062769698281721837538365958060187010899210849104837443839881652139622443856792969880176586456566373263748421647205415892694279885654960897560971484430701431850504844867000287995578144835301290555988356666699211282139460737845959976913506753893338951624479195868301803073505967336844291590234822213634739027423372}
23600 177638239436675812739288371457289688839112649090847655003215276671973447321704: {165151,235930,283116,448039,801754,871831,1012951,1435879,1461154,1743514,1931674,2420191,2452424,2733772,2758977,2777602,2871514,2981071,3153154,3890865,4150256,4184602,4427212,4669038,4746394,5351959,5554732,5777345,5843624,6521602,6574077,6932814,6972872,7080994,7150951,7702039,7825954,7844481,8114599,8253350,8476954,8663671,9211591,9312802,9904020,10031311,10249905,10564288,10576351,10610434,10703002,10933232,10955865,11258074,11382861,11686256,11790500,11884824,12299886,12474919,12609991,12643234,12855532,12919834,13147038,13149559,13370427,13551025,13956751,13974412,14148600,14300674,14348649,14776509,15091840,15189105,15624921,15917175,16136194,16201712,16261230,16766572,16894279,16978320,17081725,17345312,17884317,18056602,18110208,18226926,18233672,18421594,18438412,18603994,18713505,18745471,18968602,19100610,19513476,19534519,19961072,19969954,20059111,20275689,20333602,20373984,20429121,20498070,20512881,21134217,21219052,21530865,21604354,21864608,21940877,22035145,22329292,22456206,22544049,22830609,22920732,22966256,23052802,23311711,23698999,23992492,24085639,24137725,24546316,24597684,24947674,25099852,25113511,25559345,25667674,25837038,25881391,26196681,26207002,26296834,26442174,26555501,26566234,27014914,27536239,27632361,27879761,28753329,28926991,28965270,29100305,29154909,29268705,29430559,29517772,29556271,29804665,30322714,30554024,30671214,30896288,31035034,31186525,31219952,31344110,31367677,31657474,31682359,32055391,32179591,32551759,32923279,33254434,33474497,33785602,34045645,34156999,34373277,34472669,34708225,34758324,34920366,35122446,35138791,35383519,35765598,35904514,36359551,36451961,36481231,36508989,36513350,36960514,37230969,37399834,37423830,37612932,37751002,37936430,38056519,38418319,38899711,38926497,38978074,39065602,39259999,39262622,39828230,39852634,39918752,40027354,40456279,40694671,40736969,40854774,41161474,41649870,41684002,41693864,42119002,42237199,42520385,42694337,42900994,42945031,43143321,43180399,43415479,43803617,43816020,44201434,44292172,44426528,44777300,44819911,44908596,45402031,45523716,46533154,46737088,46905597,47005132,47137591,47181134,47307802,47482759,47793876,47820710,48464977,48628639,48638577,48742831,48938914,49220049,49246670,49304801,49367194,49979844,50222554,50673079,50735002,51024462,51330892,51574231,51616641,51672994,51763517,52074230,52409452,52579224,52776104,53106494,53262377,53473879,53732760,53797594,54194900,54210317,54475354,54563116,54912511,54983002,55005969,55067554,55827802,55901359,56089460,56666431,57314944,57384852,57596674,58048285,58077919,58195670,58268674,58772002,58855834,59096004,59107234,59151627,59155399,59262751,59373117,59388897,59927116,60089961,60449355,60461932,60843145,60991910,61687934,61817599,62287105,62449831,62489076,62528602,62659999,62974711,63039549,63184159,63276034,63479289,63773602,63914959,64004369,64270594,64479312,64535709,64745839,65002385,65033880,65758114,65791505,65794252,65840602,66188791,66291319,66431729,67210831,67307352,67401620,67516039,67569154,67679261,67740105,67919116,68194472,68315300,68592865,68717602,68939486,69010689,69045154,69208834,69369472,69634351,69657942,69816477,69834804,70333399,70434394,70435430,70532479,70679074,70830559,71249434,71523559,71900314,72114751,72256112,72539226,72605431,72897734,73011774,73163115,73190292,73191871,73199002,73673672,73738732,73775719,74129198,74163511,74260279,74744526,75319852,75607471,75720771,75746289,75866420,75989791,76089110,76347394,76718781,76828225,76829602,77129839,77443310,77551834,77937629,77949292,78002862,78040656,78046664,78169305,78446791,78912514,78949806,79285951,79710754,79842151,79844996,79934599,80119279,80127800,80348194,80395759,80571532,80763391,80855119,80881944,80905114,81129871,81288126,81302434,81768439,81978360,82026445,82311438,82633441,82739585,82882881,83380592,83394271,83438894,83931031,84387802,84466594,84522516,85073961,85126089,85677224,85882114,86139631,86227039,86274394,86315116,86352802,86662999,86822914,87131300,87270319,87443584,87527002,87530817,87599798,87701959,87748612,87795738,87802497,87824009,87917602,88125620,88395052,88914316,89087002,89553754,90143775,90252802,90421831,90718114,90992187,91039704,91306932,91492354,91754119,92100281,92193870,92225655,92860550,92931972,93344002,93798919,93803166,93853389,94006345,94041271,94419874,94443751,94604239,94799865,94902470,94956634,95243311,95311622,96104194,96114511,96153360,96386877,96529064,97248154,97598791,98255865,98316669,98340128,98374032,98431734,98484980,98522839,98675839,98973085,99284959,99287502,99462801,99587791,99773384,99903394,...,2171798958528029725978000342996433139900262601696677425829836984718118724286041799858530217040496073538501046191902311721881337663242231801462776525181173067716922520446573157728181447817222858190919717714013411695673539683524871159782434589798815684599602153544405705830279026431601068581043756389474018690796513861443180962347108735818953819066037295214263238442342894553517617667505308302247491123434804186673735434471381271836962136907534325372141004486767219186728885262596271593160261446203273189813150958489741582760921810178207867930447932219169159825372252801027281153110092863098178726202731752798756732497973536938333688167042876915702415349923151951085688173490445824264132091071957102568647018304512114546241498062893208648414401844242219691504762111839520422531820488902239904838331517977999981846185108125645710351690682187213847563177947867068872692049441818453277557244905891953313522641232628667540039864881333610136350539072653056863912112351266427194186342152355714260370601044013215230165356434566473941492758375181954859131710884200870527050150520185203706802107327427965563264377542908493252473965418153042219959746509368029509445576089287725627058107468713393907288727958371633908299893052517061998477080763634497927306896530180935341549131849854181227304169659868422020080886189494381196896375642497715675519283992908443221222206119270832705418764565903993944172930024613449805378463241866822513903529774763350136826111898821098198468693917312683889220399227986001230990922020778028701985585863868158556266869832867045430347681702190647514893711291456372433541072857931699335146338751759357484746006458917846554079782542927887734464055208646895029091043829637910582949004967252307795244996595853916125186370789571850817993035980622858437149477992934011921479118934791713458911328674711775713546160948202750530285874342436604573896990302534345430404386209465118798744525960247547667260668531753418941304241803954123172003943479914535940436965048631878308194382794876382791487383532891172891503279817544524978205377434646832571653386034937770048992219649418654283678293595625655831506032751279093419653129162461960287114106749944848428207126811350212297387583575991049667001018282517644182508322431462800067923657706199241596594637565252751988839771806409655292282623018963487445445367813676745310254804188976980952749061117234838860471771381854890145754458046095445576171864942862094768667448825637476631040868706285437541507008227600316163149911186225456366669355578527024726389857306382974830653496794311978251128492640442308699661576149881283219817492229990919333610577913077987591438972873535010522099656492890688268699011767082476346128904006838891399191408133019141498523907939079792982847959045685883734199457185959487820261713519025899014309758872688104746900026125887039174554827286196790528978597686768467173307121710876998941080650645670193127114959049987347053272964580347675105732978842761544468528931095383384171821008246920015923028333650574245904124475663052275000433596407648544240257989053625837014820099661896747379000232720487758813331828209611293311668623668701798563817695997078719988307194836573449230348115965100406873193024226962303914548946633782381797169714501866597638480023526844119950270521851365918482246565282770541640740613171796375842461043649047564942900758497267006729814667296410757328940450697849736219575725944056088250276082795814766409985127243389070515196701993806525554664468094154547422582756307548937090280516348816273657256165759822478209433665785189454820264879684849559895622632470808123839041419828482441346341457226646052147775757267300500431993367217252951935833982535000048816923209191106768939965370260130840008427436718793802452704610258951005266437385352233320452108541135058}
23601 178267408317874113357631233066814342449729226369161200027538428927366401078529: {47198,353895,377488,424674,1202631,2145871,2191731,2615271,2897511,3065530,3417215,3631474,3678636,4100658,4166403,4307271,4729731,5113171,5187820,5534015,5962451,6101263,6225384,6276903,6640818,6810863,6943415,7003557,7119591,7304530,7515959,8332098,8506243,8716090,8765436,9212351,9243752,9493471,9566578,9782403,10225474,10399221,10459308,10620599,10621491,11642098,11738931,12380025,12715431,13205360,13666540,13722071,13969203,14090674,14176498,14607820,14738125,14856030,15177148,15221698,15271619,15707183,15846432,15915651,15954463,16054503,16065874,16069415,16399848,16887111,17011042,17465938,17468015,17529384,17685750,17761978,17827236,18449829,18806063,18864800,18964851,19131532,19231363,19283298,19379751,19702012,19720557,20095474,20252140,20588818,20833228,20958215,20961618,21201431,21222900,21451011,21681640,22195391,22620979,22637760,22654138,22792090,23048015,23845756,24143743,24146944,24204291,24302568,24391845,24951340,25149858,25437011,25467480,26017968,26523815,26734771,27034252,27084903,27165312,27238828,27317458,27330760,27340389,27350508,27632391,27657618,27740722,27905991,27911615,27978359,28178956,28452903,28650915,28707820,28764658,29270214,29941608,29954931,29990615,30058732,30440812,30500403,30560976,30682895,30747105,31374815,31828578,32406531,32606983,32796912,33493938,33684309,33804419,34381098,34414018,34449384,34579203,34928908,35256232,35988738,36482131,36673762,36819474,36843148,36896526,36897215,37421511,37649778,38192530,38337772,38459458,38501511,38620360,38755557,38873212,39024940,39310503,39445251,39663261,39849351,40063378,40522371,40858642,40894952,42323122,43447905,44276658,44455519,44562551,45238114,45484071,45831036,46006821,46179091,46344432,46552551,46560488,46829928,47016165,47486211,47687464,47822671,48612583,48678652,49161299,49641292,49881651,49898440,50150576,50678403,51901996,52117330,52137486,52380549,52683669,53173711,53648397,53856771,53980114,54372058,54473032,54608063,54770025,55365215,55440771,55533160,55971625,56099751,56135745,56419398,56626503,56904645,57524428,58249063,58349338,58421360,58467111,58598403,58756415,58893933,59670163,59742345,59778951,59863991,59878128,60041031,60698288,61282161,61632631,61742211,62474805,62526003,62540796,63178503,63224098,63427282,63725168,64163615,64351491,64438979,64464463,64851436,65511815,65626732,65724030,65962391,65970130,66302151,66438258,66480863,66639792,67165950,67223539,67362894,67485011,67743625,68032616,68203895,68285574,68290831,68822188,68963674,69006839,69799731,70105632,70111825,70507698,70583311,70645811,70771701,70961703,71643680,71690814,71731065,72454738,72958018,73341292,73408371,73870005,74050791,74109538,74908895,74967571,74969766,75086231,75333831,75577415,76102503,76513136,76536693,76875143,76996338,77461618,77509491,78111345,78614178,78794672,78868836,79164156,79185196,79637459,79659741,80119948,80599140,80696391,80930674,81292350,81713031,81844674,82242815,82474503,82601331,83174842,83318768,83741703,83942911,84052732,84134190,84252025,84462931,84639052,84737458,84898895,85243090,85388098,85394125,85972416,85995922,86047612,86077278,86395011,86711840,86990938,87293505,87301711,87403011,88158003,88283751,88479874,88644006,88660851,89743136,89890674,90134663,90320140,90692898,91487865,91705474,92014252,92092090,92173415,92202298,92531901,92877256,92965663,93088636,93113072,93694339,93733614,93792903,94149815,94833025,94914051,95023378,95441218,95660403,95934151,96333683,96405891,96718968,96731551,97143719,97349032,97436615,97550820,97558330,97587056,98637171,98691378,98760903,99277079,99486298,99561911,99659368,99806245,...,3257698437792044588967000514494649709850393902545016138744755477077178086429062699787795325560744110307751569287853467582822006494863347702194164787771759601575383780669859736592272171725834287286379576571020117543510309525287306739673651884698223526899403230316608558745418539647401602871565634584211028036194770792164771443520663103728430728599055942821394857663514341830276426501257962453371236685152206280010603151707071907755443205361301488058211506730150828780093327893894407389740392169304909784719726437734612374141382715267311801895671898328753739738058379201540921729665139294647268089304097629198135098746960305407500532250564315373553623024884727926628532260235668736396198136607935653852970527456768171819362247094339812972621602766363329537257143167759280633797730733353359857257497276966999972769277662188468565527536023280820771344766921800603309038074162727679916335867358837929970283961848943001310059797322000415204525808608979585295868168526899640791279513228533571390555901566019822845248034651849710912239137562772932288697566326301305790575225780277805560203160991141948344896566314362739878710948127229563329939619764052044264168364133931588440587161203070090860933091937557450862449839578775592997715621145451746890960344795271403012323697774781271840956254489802633030121329284241571795344563463746573513278925989362664831833309178906249058128146848855990916259395036920174708067694862800233770855294662145025205239167848231647297703040875969025833830598841979001846486383031167043052978378795802237834400304749300568145521522553285971272340566937184558650311609286897549002719508127639036227119009688376769831119673814391831601696082812970342543636565744456865874423507450878461692867494893780874187779556184357776226989553970934287655724216989401017882218678402187570188366993012067663570319241422304125795428811513654906860845485453801518145606579314197678198116788940371321500891002797630128411956362705931184758005915219871803910655447572947817462291574192314574187231075299336759337254919726316787467308066151970248857480079052406655073488329474127981425517440393438483747259049126918640129479693743692940430671160124917272642310690217025318446081375363986574500501527423776466273762483647194200101885486559298862394891956347879127983259657709614482938423934528445231168168051720515117965382206283465471429123591675852258290707657072782335218631687069143168364257797414293142153001173238456214946561303059428156312260512341400474244724866779338184550004033367790537089584785959574462245980245191467967376692738960663463049492364224821924829726238344986379000415866869616981387158459310302515783149484739336032403048517650623714519193356010258337098787112199528712247785861908619689474271938568528825601299185778939231730392570278538848521464638309032157120350039188830558761832240929295185793467896530152700759960682566315498411620975968505289690672438574981020579909446870521512658599468264142316702793396643075076257731512370380023884542500475861368856186713494578412500650394611472816360386983580438755522230149492845121068500349080731638219997742314416939967502935503052697845726543995618079982460792254860173845522173947650610309789536340443455871823419950673572695754571752799896457720035290266179925405782777048877723369847924155812461110919757694563763691565473571347414351137745900510094722000944616135993410676046774604329363588916084132375414124193722149614977690865083605772795052990709788331996702141231821133874134461323405635420774523224410485884248639733717314150498677784182230397319527274339843433948706212185758562129742723662019512185839969078221663635900950750647990050825879427903750973802500073225384813786660153409948055390196260012641155078190703679056915388426507899656078028349980678162811702587}
23602 178898791110364532972130917276778107311414588201077249805355932740115498244468: {70797,330302,471860,566232,637011,896078,966001,1248097,1603508,1670701,1743662,2025902,2871758,2922308,3487028,3863348,4598295,4840382,4904848,5444977,5447211,5467544,5517954,5555204,5743028,5962142,6138157,6150987,6276577,6306308,6484775,6553201,7243501,7781730,8088283,8300512,8369204,8854424,9303601,9338076,9492788,9961227,10259437,10703918,10956795,11109464,11554690,11618797,11687248,12025201,12498147,12970957,13043204,13074135,13148154,13778797,13865628,13945744,14161988,14301902,14349867,14718001,15119437,15338211,15404078,15651908,15688962,16053601,16229198,16506700,16953908,16984237,17083175,17327342,17463147,18259775,18423182,18625604,18971435,19623757,19808040,20017201,20062622,20499810,20671501,21128576,21136011,21152702,21220868,21264747,21406004,21866464,21911730,22234477,22284045,22516148,22765722,22832547,23270701,23372512,23581000,23769648,23914415,23916001,24098811,24559501,24599772,24627515,24949838,25219982,25286468,25315175,25516563,25711064,25839668,26041535,26198907,26294076,26299118,26528625,26642967,26733937,26740854,27102050,27913502,27948824,28129837,28297200,28601348,28697298,28924947,29391277,29553018,29807195,30143211,30183680,30378210,30520417,30849203,30883227,31189175,31249842,31269937,31442427,31834350,32272388,32403424,32522460,33008737,33379501,33533144,33626317,33788558,33792815,33956640,33981207,34048535,34163450,34188135,34610701,34690624,35223695,35768634,35783083,35884775,36113204,36220416,36453852,36467344,36843188,36876824,37070891,37207988,37415137,37427010,37490942,37573415,37657201,37724787,37937204,38051015,38201220,39026952,39069038,39922144,39939908,40118222,40551378,40667204,40740427,40747968,40858242,40976187,40996140,41015857,41025762,41253601,41486427,41611083,41726531,42268434,42438104,43061730,43146987,43208708,43262797,43661135,43729216,43881754,43905321,43966957,44070290,44658584,44785201,44912412,45088098,45134797,45367501,45661218,45841464,45932512,46053935,46105604,46623422,47397998,47663903,47742867,47922215,47984984,48171278,48275450,48469091,48591515,48781175,49092632,49195368,49620577,49895348,50199704,50227022,50240907,50527201,51091501,51118690,51316717,51335348,51571647,51621027,51674076,51762782,51767911,51990637,52393362,52414004,52593668,52884348,53111002,53132468,53553037,53983107,54029828,54166739,54218317,54439501,54991201,55010643,55072478,55229211,55264722,55344789,55759522,55760557,56417197,56474667,56962417,57276791,57288795,57397297,57506658,57689187,57853982,57930540,58200610,58309818,58537410,58861118,59017837,59035544,59112542,59528539,59609330,60095067,60195937,60645428,60728557,60848315,61108048,61153357,61287963,61342428,61792576,62051615,62070068,62373050,62439904,62688220,62735354,63314948,63364718,63484683,63886477,64110782,64359182,64877495,65103518,65131501,65337997,65441137,65559131,65846558,66414987,66508868,66948994,67571204,67857171,68091290,68198701,68313998,68746554,68945338,69416450,69516648,69840732,70244892,70277582,70767038,71002957,71531196,71695201,71809028,71905535,72383917,72719102,72903922,72962462,73017978,73026700,73921028,74461938,74622001,74799668,74847660,74887703,75225864,75502004,75641527,75872860,76061101,76113038,76251757,76836638,77799422,77852994,77956148,78131204,78175995,78206229,78519998,78525244,78704077,79170097,79656460,79705268,79837504,80054708,80465377,80557357,80912558,80970171,81064295,81267599,81389342,81473938,81558087,81655501,81709548,81928417,82033415,82322948,82743277,83299740,83368004,83387728,84238004,84355501,84474398,84629097,84799201,85040770,85180403,85388674,85417357,85681201,85801988,85890062,86027735,86286642,86294317,86360798,86830958,87201947,87524007,87607234,87632040,88026637,88332299,88402868,88584344,88711501,88853056,88881997,89306977,89554600,89639822,89817192,90235597,90804062,91003339,91047432,91238701,91487857,91676615,92066701,92108107,93066308,93132337,93474176,93811194,94010264,94105201,94275182,94346797,94362268,94615604,94836147,94965518,95140923,95545057,95587752,95641420,96030011,96098701,96492001,96648817,96929954,97257278,97277154,97428577,97485662,97657703,97661101,97877828,98440098,98493340,98586045,98609602,98734388,98955195,98981495,99194701,99346477,99657387,99959688,...,4343597917056059451956000685992866279800525203393354851659673969436237448572083599717060434080992147077002092383804623443762675326484463602925553050362346135433845040893146315456362895634445716381839435428026823391347079367049742319564869179597631369199204307088811411660558052863202137162087512778948037381593027722886361924694217471637907638132074590428526476884685789107035235335010616604494982246869608373347470868942762543673924273815068650744282008973534438373457770525192543186320522892406546379626301916979483165521843620356415735860895864438338319650744505602054562306220185726196357452405463505597513464995947073876667376334085753831404830699846303902171376346980891648528264182143914205137294036609024229092482996125786417296828803688484439383009524223679040845063640977804479809676663035955999963692370216251291420703381364374427695126355895734137745384098883636906555114489811783906627045282465257335080079729762667220272701078145306113727824224702532854388372684304711428520741202088026430460330712869132947882985516750363909718263421768401741054100301040370407413604214654855931126528755085816986504947930836306084439919493018736059018891152178575451254116214937426787814577455916743267816599786105034123996954161527268995854613793060361870683098263699708362454608339319736844040161772378988762393792751284995431351038567985816886442444412238541665410837529131807987888345860049226899610756926483733645027807059549526700273652223797642196396937387834625367778440798455972002461981844041556057403971171727736317112533739665734090860695363404381295029787422582912744867082145715863398670292677503518714969492012917835693108159565085855775468928110417293790058182087659275821165898009934504615590489993191707832250372741579143701635986071961245716874298955985868023842958237869583426917822657349423551427092321896405501060571748684873209147793980605068690860808772418930237597489051920495095334521337063506837882608483607908246344007886959829071880873930097263756616388765589752765582974767065782345783006559635089049956410754869293665143306772069875540097984439298837308567356587191251311663012065502558186839306258324923920574228213499889696856414253622700424594775167151982099334002036565035288365016644862925600135847315412398483193189275130505503977679543612819310584565246037926974890890735627353490620509608377953961905498122234469677720943542763709780291508916092190891152343729885724189537334897651274953262081737412570875083014016455200632326299822372450912733338711157054049452779714612765949661306993588623956502256985280884617399323152299762566439634984459981838667221155826155975182877945747070021044199312985781376537398023534164952692257808013677782798382816266038282997047815878159585965695918091371767468398914371918975640523427038051798028619517745376209493800052251774078349109654572393581057957195373536934346614243421753997882161301291340386254229918099974694106545929160695350211465957685523088937057862190766768343642016493840031846056667301148491808248951326104550000867192815297088480515978107251674029640199323793494758000465440975517626663656419222586623337247337403597127635391994157439976614389673146898460696231930200813746386048453924607829097893267564763594339429003733195276960047053688239900541043702731836964493130565541083281481226343592751684922087298095129885801516994534013459629334592821514657880901395699472439151451888112176500552165591629532819970254486778141030393403987613051109328936188309094845165512615097874180561032697632547314512331519644956418867331570378909640529759369699119791245264941616247678082839656964882692682914453292104295551514534601000863986734434505903871667965070000097633846418382213537879930740520261680016854873437587604905409220517902010532874770704466640904217082270116}
23603 179532395553645907483917860644646950822320050230603844714498281829307606412702: {23603,94396,495453,589825,707790,754976,849348,1344117,2004385,2405262,2615493,2853301,3038853,3652885,4291742,4307637,4358785,4383462,4784101,4829185,5230542,5795022,6131060,6834430,6944005,7046533,7178785,7260573,7262948,7357272,7516597,7612141,7747621,7882885,8034301,8201316,8276931,8332806,8614542,8882497,8943213,9213133,9459462,9720781,10226342,10296157,10375640,10461505,11068030,11138677,11613601,11672595,11865985,11924902,12202526,12450768,12461653,12551617,12553806,13281636,13621726,13723237,13886830,14007114,14239182,14609060,14812321,15031918,15789301,16055877,16216993,16304005,16664196,16790437,17012486,17332035,17432180,17530872,17702485,18048277,18424702,18487504,18807661,18986942,19133156,19564806,19564885,19722231,20450948,20633375,20798442,20918616,21018541,21192385,21241198,21242982,21452853,21463717,22197277,22497181,23106117,23278093,23282005,23284196,23477862,23533443,23695717,24343797,24455221,24760050,25255201,25430862,25991013,26410720,26526085,26757505,27333080,27444142,27634773,27938406,28145185,28181348,28352996,29215640,29341501,29343157,29476250,29712060,29907901,30093933,30354296,30443396,30543238,30749715,31414366,31608085,31692864,31729053,31831302,31908926,32109006,32131748,32138830,32267221,32299585,32799696,32867595,33774222,34022084,34148583,34931876,34936030,35058768,35371500,35523956,35550961,35654472,35751685,36899658,37133341,37424757,37612126,37729600,37829973,37929702,38263064,38390197,38462726,38566596,38759502,39076261,39404024,39441114,39448677,39950677,40111281,40190948,40340485,40504280,40653075,41177636,41666456,41870253,41916430,41923236,41986861,42402862,42445800,42902022,42956053,43045947,43363280,43924741,44329527,44390782,44855773,45091633,45141505,45241958,45275520,45308276,45567315,45584180,46053985,46096030,46509985,46874763,47421505,47691512,47751525,48287486,48293888,48408582,48605136,48783690,49676077,49902680,49924885,50299716,50647981,50682837,50834005,50874022,50934960,51085057,51245175,51656101,51931381,52035936,52664833,53047630,53469542,53652951,54010885,54068504,54169806,54330624,54477656,54634916,54661520,54680778,54701016,55264782,55315236,55405261,55481444,55811982,55823230,55956718,56140515,56236413,56357912,56905806,57301830,57324157,57415640,57529316,57632005,57767053,58099717,58540428,58603557,59883216,59909862,59981230,60117464,60177333,60827067,60881624,61000806,61032541,61121952,61287363,61365790,61494210,61538643,62369185,62749630,63402651,63657156,64169185,64592595,64813062,65157181,65213966,65517505,65593824,65742085,65822631,66003073,66105435,66415585,66987876,67368618,67537285,67608838,67632147,68491827,68752417,68762196,68828036,68898768,69158406,69519901,69857816,69935133,70512464,70748353,71096997,71977476,72054301,72256917,72413175,72964262,73347524,73638948,73686296,73793052,73794430,74302141,74843022,75299556,75340533,75806785,76155157,76385060,76675544,76678035,76918916,77003022,77240720,77511114,77511301,77587585,77644173,77746424,77955553,78049880,78360275,78590043,78621006,78890502,79143685,79326522,79666503,79698702,79755013,80126756,80149597,80298037,81044742,81553537,81717284,81789904,82176877,82258981,82608717,82897083,83136085,83639283,84464005,84646244,85652977,86259987,86355301,86780973,86895810,87300915,87464727,87790333,87806115,88291677,88553316,88668813,88738273,88911038,89125102,89413995,89761285,89829061,90476228,90928801,90968142,91283375,91568173,91662072,91716541,92013642,92358182,92401285,92688864,92874181,93105102,93120976,93499585,93559575,93659856,94032330,94103031,94116997,94377505,94841075,94972422,95047077,95374928,95485453,95645342,96166173,96538773,97225166,97357304,97410037,97445185,97655277,97664005,97779517,98156555,98322598,98328397,98769837,99067357,99282584,99285637,99570575,99631585,99763302,99796880,...,6515396875584089177934001028989299419700787805090032277489510954154356172858125399575590651121488220615503138575706935165644012989726695404388329575543519203150767561339719473184544343451668574572759153142040235087020619050574613479347303769396447053798806460633217117490837079294803205743131269168422056072389541584329542887041326207456861457198111885642789715327028683660552853002515924906742473370304412560021206303414143815510886410722602976116423013460301657560186655787788814779480784338609819569439452875469224748282765430534623603791343796657507479476116758403081843459330278589294536178608195258396270197493920610815001064501128630747107246049769455853257064520471337472792396273215871307705941054913536343638724494188679625945243205532726659074514286335518561267595461466706719714514994553933999945538555324376937131055072046561641542689533843601206618076148325455359832671734717675859940567923697886002620119594644000830409051617217959170591736337053799281582559026457067142781111803132039645690496069303699421824478275125545864577395132652602611581150451560555611120406321982283896689793132628725479757421896254459126659879239528104088528336728267863176881174322406140181721866183875114901724899679157551185995431242290903493781920689590542806024647395549562543681912508979605266060242658568483143590689126927493147026557851978725329663666618357812498116256293697711981832518790073840349416135389725600467541710589324290050410478335696463294595406081751938051667661197683958003692972766062334086105956757591604475668800609498601136291043045106571942544681133874369117300623218573795098005439016255278072454238019376753539662239347628783663203392165625940685087273131488913731748847014901756923385734989787561748375559112368715552453979107941868575311448433978802035764437356804375140376733986024135327140638482844608251590857623027309813721690970907603036291213158628395356396233577880742643001782005595260256823912725411862369516011830439743607821310895145895634924583148384629148374462150598673518674509839452633574934616132303940497714960158104813310146976658948255962851034880786876967494518098253837280258959387487385880861342320249834545284621380434050636892162750727973149001003054847552932547524967294388400203770973118597724789783912695758255966519315419228965876847869056890462336336103441030235930764412566930942858247183351704516581415314145564670437263374138286336728515594828586284306002346476912429893122606118856312624521024682800948489449733558676369100008066735581074179169571919148924491960490382935934753385477921326926098984728449643849659452476689972758000831733739233962774316918620605031566298969478672064806097035301247429038386712020516674197574224399057424495571723817239378948543877137057651202598371557878463460785140557077697042929276618064314240700078377661117523664481858590371586935793060305401519921365132630996823241951937010579381344877149962041159818893741043025317198936528284633405586793286150152515463024740760047769085000951722737712373426989156825001300789222945632720773967160877511044460298985690242137000698161463276439995484628833879935005871006105395691453087991236159964921584509720347691044347895301220619579072680886911743646839901347145391509143505599792915440070580532359850811565554097755446739695848311624922221839515389127527383130947142694828702275491801020189444001889232271986821352093549208658727177832168264750828248387444299229955381730167211545590105981419576663993404282463642267748268922646811270841549046448820971768497279467434628300997355568364460794639054548679686867897412424371517124259485447324039024371679938156443327271801901501295980101651758855807501947605000146450769627573320306819896110780392520025282310156381407358113830776853015799312156056699961356325623405174}
23604 180168229414096662861610549440391408869508887965110918172762996208679978775298: {117995,141594,259523,542363,660604,871979,943720,966083,1013123,1061685,1107179,1132464,1274022,1576979,1717763,1792156,1932002,2496194,2514179,3074963,3207016,3341402,3487324,3607893,3681179,4051804,4053563,5445443,5743516,5844616,6323243,6437613,6461579,6575193,6599843,6830123,6974056,7152179,7244123,7290083,7663825,7726696,7845813,8207603,8692533,9078685,9196590,9304403,9680764,9809696,9987563,10251645,10668923,10889954,10894422,10935088,11035908,11110408,11257979,11486056,11924284,12071363,12276314,12301974,12477083,12499209,12553154,12612179,12612616,12921813,12969550,12972083,13106402,13286579,13510979,13645523,13824803,14189193,14487002,14495963,14719283,14763923,15165323,15339513,15563460,15655043,16176566,16601024,16602045,16631579,16738408,16764443,16985723,17162603,17708848,17887353,17956979,18177179,18261325,18303789,18607202,18676152,18704843,18830709,18836579,18985576,19406603,19625483,19922454,19931579,20062643,20149979,20432589,20518874,20586179,20830245,21010671,21358773,21407836,21586403,21790225,21889979,21913590,22218928,22236443,22409483,22547877,23109380,23237594,23272763,23315843,23374496,23916445,23918123,23961083,24050402,24604523,24818603,24996294,25246163,25518729,25563685,25843403,25941914,26086408,26098883,26148270,26269043,26296308,26560009,27160283,27371963,27557594,27637053,27667979,27731256,27891488,28323976,28480413,28603804,28699734,28932179,29016203,29105245,29347209,29435843,29436002,29561579,30238874,30676422,30808156,31197663,31303816,31377924,31771043,31861797,31864473,32061179,32107202,32144003,32458396,32557643,32764163,33011723,33013400,33382523,33480181,33793763,33907816,33968474,34166350,34245203,34478521,34531979,34654684,34926294,35216793,35226685,35226803,35349179,35441245,35471483,35756579,36458149,36519550,36568979,36846364,37095323,37140075,37251208,37700963,37902443,37942870,38054245,38063483,38146293,38304803,38906843,38986979,39247514,39267203,39616080,39866363,40034402,40125244,40164685,40185179,40582979,40781579,40999620,41166213,41343002,41730073,41850563,41907609,42257152,42272022,42305404,42441736,42527605,42529494,42812008,42952979,43070723,43266803,43540979,43664845,43732928,43736579,43811053,43823460,44214375,44404945,44468954,44568090,44789363,44828243,44905979,45032296,45371723,45410483,45531444,45665094,45814857,45874979,46541402,46745024,47121549,47146403,47162000,47223179,47309941,47338283,47491643,47539296,47667949,47746953,47828830,47832002,47863389,48163509,48197622,48208245,48637763,48751979,49119002,49199544,49255030,49313173,49899676,50079179,50238685,50439964,50456579,50569643,50572936,50630350,50661333,50757923,51033126,51096323,51208979,51422128,51472045,51658883,51679336,51771179,52083070,52397814,52404045,52588152,52598236,52602781,52815803,53057250,53271421,53285934,53467874,53481708,53558123,54171337,54204100,54444683,54481523,54996443,55349487,55656179,55827004,55897648,56131043,56259674,56418189,56568179,56594400,56635345,56894553,56980225,57004163,57202696,57281653,57394596,57694089,57849894,58139253,58197179,58782554,58844243,59106036,59161671,59166803,59274179,59345723,59614390,59809979,59988179,60286422,60367360,60756420,61040834,61125589,61159283,61698406,61766454,62005523,62378350,62499684,62532083,62539874,62874645,62882123,62884854,63266243,63604293,63668700,63927443,64015237,64353033,64475509,64544776,64654883,64806848,65044920,66017474,66167603,66270179,66509243,66586173,66759002,67066288,67091101,67122179,67252634,67577116,67585630,67690753,67732523,67862937,67913280,67962414,68028121,68097070,68205443,68239163,68293645,68326900,68376270,69144045,69221402,69351805,69381248,69648179,69714923,70214483,70447390,70910843,71043083,71307179,71537268,71566166,71702363,71735243,71769550,71899523,71911645,72129179,72226408,72227483,72431229,72440832,72521963,72612873,72717923,72907704,72934688,73175535,73271579,73498883,73686376,73753648,74141782,74415976,74629523,74830274,74854020,74981884,75146830,75303203,75314402,75449574,75874408,76068803,76100603,76102030,76311033,76402440,76481579,76956179,77113979,77208563,77478973,77523323,78053904,78138076,78431603,78525179,78743243,78836579,79209203,79549763,79571445,79844288,79879816,80204313,80236444,80381579,80473643,80841179,81102756,81146579,81254709,81334408,81480854,81495936,81512003,81716484,81754979,81952374,81967163,81992280,82021167,82031714,82051524,82507202,82571243,82897173,82972854,83222166,83453062,83560979,83698021,83717973,83734845,83935077,84097163,84364283,84453179,84536868,84808043,84837563,84876208,85102883,85187641,85191179,85358709,85426283,85719443,85952745,86035045,86123460,86215979,86293974,86303363,86417416,86525594,86872261,86941979,87288683,87322270,87458432,87461603,87763508,87810642,87933914,88140580,88236179,88503649,88720883,89317168,89570402,89824824,89864793,89971845,90176196,90269594,90273203,90496979,90692363,90735002,90828493,91109723,91322436,91501209,91682928,91684405,91691003,91865024,92048685,92104043,92107870,92211208,92241315,92241323,92569979,92842979,93169523,93246844,93305243,93711203,94115363,94124445,94195979,94383803,94795996,94998179,95078003,95317043,95327806,95481325,95485734,95844430,95969968,96135443,96148645,96187979,96342556,96550900,96938182,96972179,97050203,97183030,97219593,97562350,97620179,97671803,97820949,98057963,98134979,98185264,98211923,98390736,98467883,99205643,99241154,99281579,99357443,99660179,99790696,99911579,...,9773095313376133766901001543483949129551181707635048416234266431231534259287188099363385976682232330923254707863560402748466019484590043106582494363315278804726151342009579209776816515177502861859138729713060352630530928575861920219020955654094670580698209690949825676236255618942204808614696903752633084108584312376494314330561989311185292185797167828464184572990543025490829279503773887360113710055456618840031809455121215723266329616083904464174634520190452486340279983681683222169221176507914729354159179313203837122424148145801935405687015694986261219214175137604622765188995417883941804267912292887594405296240880916222501596751692946120660869074654183779885596780707006209188594409823806961558911582370304515458086741283019438917864808299089988611771429503277841901393192200060079571772491830900999918307832986565405696582608069842462314034300765401809927114222488183039749007602076513789910851885546829003930179391966001245613577425826938755887604505580698922373838539685600714171667704698059468535744103955549132736717412688318796866092698978903917371725677340833416680609482973425845034689698943088219636132844381688689989818859292156132792505092401794765321761483609210272582799275812672352587349518736326778993146863436355240672881034385814209036971093324343815522868763469407899090363987852724715386033690391239720539836777968087994495499927536718747174384440546567972748778185110760524124203084588400701312565883986435075615717503544694941893109122627907077501491796525937005539459149093501129158935136387406713503200914247901704436564567659857913817021700811553675950934827860692647008158524382917108681357029065130309493359021443175494805088248438911027630909697233370597623270522352635385078602484681342622563338668553073328680968661912802862967172650968203053646656035206562710565100979036202990710957724266912377386286434540964720582536456361404554436819737942593034594350366821113964502673008392890385235869088117793554274017745659615411731966342718843452386874722576943722561693225898010278011764759178950362401924198455910746572440237157219965220464988422383944276552321180315451241777147380755920388439081231078821292013480374751817926932070651075955338244126091959723501504582271329398821287450941582600305656459677896587184675869043637383949778973128843448815271803585335693504504155161545353896146618850396414287370775027556774872122971218347005655895061207429505092773392242879426459003519715368644839683909178284468936781537024201422734174600338014553650012100103371611268754357878723386737940735574403902130078216881990389148477092674465774489178715034959137001247600608850944161475377930907547349448454218008097209145552951871143557580068030775011296361336598586136743357585725859068422815815705586476803897557336817695191177710835616545564393914927096471361050117566491676285496722787885557380403689590458102279882047698946495234862927905515869072017315724943061739728340611564537975798404792426950108380189929225228773194537111140071653627501427584106568560140483735237501951183834418449081160950741316266566690448478535363205501047242194914659993226943250819902508806509158093537179631986854239947382376764580521536566521842951830929368609021330367615470259852020718087263715258399689373160105870798539776217348331146633170109543772467437383332759273083691291074696420714042243053413237701530284166002833848407980232028140323812988090766748252397126242372581166448844933072595250817318385158972129364995990106423695463401622403383970216906262323569673231457652745919201151942451496033352546691191958581823019530301846118636557275686389228170986058536557519907234664990907702852251943970152477638283711252921407500219676154441359980460229844166170588780037923465234572111037170746165279523698968234085049942034488435107761}
23605 180806300485067559447618785657803915552834318232169413942867760043695201760458: {47206,188792,212391,825755,990906,1179650,1415580,1509952,1698696,1911033,2240195,2688234,2806139,2898003,3372083,3744291,4008770,4359155,4810524,5012103,5064755,5114039,5230986,5706602,6077706,6102299,6760859,7179395,7305770,8034983,8507687,8583484,8615274,8717570,8766924,8883251,9495083,9568202,9587699,9658370,9721607,10050299,10297031,10461084,11036039,11590044,12100955,12262120,12414539,12979907,13163891,13668860,13794885,13888010,14093066,14357570,14521146,14525896,14646107,14714544,14905355,15033194,15224282,15495242,15765770,16068602,16218371,16334931,16341633,16402632,16553862,16554947,16612379,16665612,17229084,17764994,17886426,18414471,18426266,18452961,18660083,18829731,18918924,19441562,19454325,19659603,20452684,20592314,20751280,20923010,21020327,21730503,22136060,22277354,22825607,23227202,23280071,23345190,23731970,23849804,24264849,24405052,24783479,24901536,24923306,25071299,25103234,25107612,25257347,25366211,26563272,26759795,26996939,27243452,27390839,27446474,27773660,27910803,28014228,28478364,28886725,29218120,29624642,29669339,29883681,30063836,30778311,31366823,31572587,31578602,32111754,32213939,32433986,32594807,32608010,32870385,33328392,33580874,34024972,34664070,34856391,34864360,35061744,35404970,35754755,36075603,36096554,36849404,36975008,37136519,37460507,37494441,37615322,37973884,38266312,38510195,38912871,39129612,39129770,39222405,39403259,39444462,39471611,39733427,40572995,40901896,41266750,41336391,41596884,41837232,42011783,42037082,42384770,42482396,42485964,42905706,42927434,43049601,43318355,44154003,44251319,44394554,44994362,45219419,45358311,45677987,46014633,46057955,46212234,46556186,46564010,46568392,46955724,47066886,47391434,48160803,48687594,48910442,49520100,50052359,50156555,50396531,50510402,50861724,50952711,51249525,51320147,51982026,52389441,52821440,52881755,53052170,53515010,53577011,53831627,54666160,54779325,54888284,55269546,55876812,56290370,56362696,56476679,56606567,56705992,56914305,57329063,58431280,58683002,58686314,58708091,58846811,58871271,58952500,59424120,59815802,60051603,60187866,60708592,60886792,61086476,61499430,61726619,61923527,62014503,62374595,62537339,62828732,63049955,63198107,63216170,63385728,63408033,63458106,63662604,63794241,63817852,64218012,64263496,64277660,64475579,64534442,64546259,64599170,65113979,65599392,65735190,65747795,66390107,66703431,66852135,67365899,67548444,67746731,67755125,68044168,68297166,68497641,69783755,69812103,69863752,69872060,69894839,70113851,70117536,70743000,71047912,71101922,71167607,71308944,71503370,71743245,71748003,72296433,72567143,73493963,73678503,73799316,73882545,74266682,74849514,75224252,75459200,75615239,75659946,75859404,75945525,76526128,76549689,76780394,76925452,77133192,77519004,78124605,78152522,78596721,78808048,78882228,78897354,79585875,79901354,79928901,80201811,80222562,80381896,80680970,80684807,81008560,81306150,81375863,82159883,82355272,83332912,83740506,83832860,83846472,83973722,84389511,84471395,84805724,84891600,85155083,85408625,85804044,85912106,86091894,86726560,86774841,87316859,87849482,88173831,88659054,88781564,89421585,89711546,89831171,89836859,90183266,90283010,90429633,90483916,90551040,90616552,91134630,91168360,91561251,91724507,92038919,92107970,92192060,92310839,92547609,92649681,92981819,93019970,93567525,93727355,93749526,93767399,93809811,94327281,94552199,94610147,94722251,94843010,95383024,95503050,96574972,96587776,96817164,97210272,97567380,97672595,98281451,99026211,99352154,99805360,99849770,...,13030793751168178355868002057978598839401575610180064554979021908308712345716250799151181302242976441231006277151413870331288025979453390808776659151087038406301535122679438946369088686903337149145518306284080470174041238101149226958694607538792894107597612921266434234981674158589606411486262538336844112144779083168659085774082652414913722914396223771285579430654057367321105706005031849813484946740608825120042412606828287631021772821445205952232846026920603315120373311575577629558961568677219639138878905750938449496565530861069247207582687593315014958952233516806163686918660557178589072357216390516792540394987841221630002129002257261494214492099538911706514129040942674945584792546431742615411882109827072687277448988377359251890486411065453318149028572671037122535190922933413439429029989107867999891077110648753874262110144093123283085379067687202413236152296650910719665343469435351719881135847395772005240239189288001660818103234435918341183472674107598563165118052914134285562223606264079291380992138607398843648956550251091729154790265305205223162300903121111222240812643964567793379586265257450959514843792508918253319758479056208177056673456535726353762348644812280363443732367750229803449799358315102371990862484581806987563841379181085612049294791099125087363825017959210532120485317136966287181378253854986294053115703957450659327333236715624996232512587395423963665037580147680698832270779451200935083421178648580100820956671392926589190812163503876103335322395367916007385945532124668172211913515183208951337601218997202272582086090213143885089362267748738234601246437147590196010878032510556144908476038753507079324478695257567326406784331251881370174546262977827463497694029803513846771469979575123496751118224737431104907958215883737150622896867957604071528874713608750280753467972048270654281276965689216503181715246054619627443381941815206072582426317256790712792467155761485286003564011190520513647825450823724739032023660879487215642621790291791269849166296769258296748924301197347037349019678905267149869232264607880995429920316209626620293953317896511925702069761573753934989036196507674560517918774974771761722684640499669090569242760868101273784325501455946298002006109695105865095049934588776800407541946237195449579567825391516511933038630838457931753695738113780924672672206882060471861528825133861885716494366703409033162830628291129340874526748276572673457031189657172568612004692953824859786245212237712625249042049365601896978899467117352738200016133471162148358339143838297848983920980765871869506770955842653852197969456899287699318904953379945516001663467478467925548633837241210063132597938957344129612194070602494858076773424041033348395148448798114848991143447634478757897087754274115302405196743115756926921570281114155394085858553236128628481400156755322235047328963717180743173871586120610803039842730265261993646483903874021158762689754299924082319637787482086050634397873056569266811173586572300305030926049481520095538170001903445475424746853978313650002601578445891265441547934321755022088920597971380484274001396322926552879990969257667759870011742012210791382906175982472319929843169019440695382088695790602441239158145361773823487293679802694290783018287011199585830880141161064719701623131108195510893479391696623249844443679030778255054766261894285389657404550983602040378888003778464543973642704187098417317454355664336529501656496774888598459910763460334423091180211962839153327986808564927284535496537845293622541683098092897641943536994558934869256601994711136728921589278109097359373735794824848743034248518970894648078048743359876312886654543603803002591960203303517711615003895210000292901539255146640613639792221560785040050564620312762814716227661553706031598624312113399922712651246810348}
23606 181446616586974754174619658682518437737842263916824851745302807646060090275204: {70809,165193,235990,283188,306709,519046,1013209,1084726,1321208,1486359,1577113,1743958,1769475,1887440,1932166,2026246,2123370,2214358,2264928,2280373,2548044,2561173,3153958,3435526,3584312,3864004,4032351,4992388,5028358,6013155,6149926,6414032,6682804,6974648,7215786,7290709,7362358,7841653,7846479,8103608,8107126,8559903,8803033,9116559,9213973,9487573,10033909,10170313,10715209,10729355,10890886,10958655,11487032,11689232,12613273,12646486,12710159,12875226,12922911,12923158,13076355,13150386,13199686,13287733,13660246,13948112,14094709,14304358,14352303,14487555,14488246,14580166,14765209,15327650,15453392,15691626,16415206,17086075,17385066,18157370,18393180,18608806,18750409,18882133,19361528,19619392,19975126,20503290,20587993,20832015,21139599,21240853,21337846,21536355,21779908,21781719,21788844,21870176,21891913,22071816,22220816,22515958,22549791,22836423,22972112,23242863,23317909,23447113,23648655,23848568,23963209,24102903,24142726,24552628,24603948,24830793,24954166,24998418,25106308,25224358,25225232,25248409,25565855,25843626,25888309,25939100,25944166,26212804,26573158,26647491,26829639,27021958,27291046,27639399,27649606,27670075,27670453,28378386,28974004,28991926,29060809,29162343,29438566,29527846,29564233,29812255,30330646,30506315,30679026,30888471,31126920,31310086,31384515,32064073,32188309,32312473,32353132,32808409,33202048,33204090,33263158,33416031,33476816,33483023,33528886,33971446,34043209,34054315,34325206,34535113,34717075,34780633,34840803,35017785,35393173,35417696,35597955,35774706,35789159,35913958,36354358,36491209,36522650,36607578,36612853,37214404,37352304,37384959,37409686,37579795,37654851,37661418,37673158,37971152,38187673,38813206,39030613,39250966,39844908,39863158,40125286,40299958,40586713,40747343,40825033,40865178,41037748,41169711,41172358,41660490,41893909,42021342,42531215,42717546,42815672,43074709,43172806,43545013,43580450,43779733,43779958,43827180,44436963,44437856,44472886,44818966,44832409,44949013,45095754,45414709,46061755,46218760,46475188,46545526,46631686,46748992,47367903,47467355,47832890,47836246,47922166,48100804,48167631,48477319,48650979,48756553,48870709,48912015,49209046,49317359,49617743,49637206,49992588,50371311,50492326,51037458,51127370,51588853,51686806,51776699,51883828,51996105,52149913,52172816,52197766,52296540,52538086,52592616,53102995,53107455,53120018,53275943,53489113,54144831,54320566,54486709,54743926,55115188,55274106,55335958,55462512,55478473,55698073,55782976,56026933,56230559,56422983,56573593,56647952,56791753,56960826,57207608,57335893,57399468,57864358,58032406,58202773,58210490,58694418,58694655,58849909,58871686,58872004,59123158,59166693,59279893,59538647,59815753,60477748,61130783,61352844,61616312,61900125,62166923,62395326,62607632,62755848,63055623,63542086,63577155,63723594,63728946,64020671,64122358,64214404,64288006,64358559,64391151,64661209,64916792,65115286,65528326,65570263,65591413,66023446,66026800,66208309,66310873,66591831,66765046,66960362,67332553,67491543,67587526,67696499,67815632,67936948,68245909,68332700,68490406,68610355,68957042,69063958,69253909,69309368,69318351,69655093,69755209,69834279,69846015,69852588,70334159,70354393,70433586,70453370,70453606,70600329,70653013,70698358,70882490,70942966,71087151,71347273,71513158,71742409,72060863,72234709,72725209,72916298,73031391,73039100,73137958,73365663,73690625,73692728,74190646,74280150,74282713,74502416,74900419,75150709,75401926,75654371,75765603,75804886,75885740,76012873,76108309,76108490,76126966,76292586,76358095,76609606,76679413,76963993,77153353,77813686,77973039,77973958,78470809,78495028,78534406,78535915,79232160,79289483,79578255,79732726,79772315,79959193,80068804,80250488,80272515,80329370,80347075,80370358,80420533,80880073,81154933,81165958,81563158,81793753,81999240,82332426,82609909,82686004,82904319,82970773,83460146,83599513,83701126,83815218,83867893,84435555,84514304,84544044,84610808,84846409,84883472,85055210,85058988,85624016,85905958,86141446,86254153,86533606,87081958,87329690,87340075,87384373,87465856,87473158,87622106,87646920,88024503,88029471,88428750,88809890,88937908,89136180,89578726,89656486,89723703,89811958,90064592,90281799,90450709,90743446,90820966,91062888,91330188,91566059,91629714,91749958,92249145,92607253,93082804,93342409,93490048,93544847,94030315,94243098,94292806,94324000,94446358,94554709,94619882,94676566,94824255,94983286,95078592,95187159,95274313,95335898,95433433,95493906,95611103,95657660,95664004,95726778,95829973,96067033,96156815,96327018,96395244,96416490,96801663,96898755,97092527,97275526,97503958,98238004,98399088,98401993,98510060,98602785,98626346,98784853,98915843,99317833,99799352,...,19546190626752267533802003086967898259102363415270096832468532862463068518574376198726771953364464661846509415727120805496932038969180086213164988726630557609452302684019158419553633030355005723718277459426120705261061857151723840438041911308189341161396419381899651352472511237884409617229393807505266168217168624752988628661123978622370584371594335656928369145981086050981658559007547774720227420110913237680063618910242431446532659232167808928349269040380904972680559967363366444338442353015829458708318358626407674244848296291603870811374031389972522438428350275209245530377990835767883608535824585775188810592481761832445003193503385892241321738149308367559771193561414012418377188819647613923117823164740609030916173482566038877835729616598179977223542859006555683802786384400120159143544983661801999836615665973130811393165216139684924628068601530803619854228444976366079498015204153027579821703771093658007860358783932002491227154851653877511775209011161397844747677079371201428343335409396118937071488207911098265473434825376637593732185397957807834743451354681666833361218965946851690069379397886176439272265688763377379979637718584312265585010184803589530643522967218420545165598551625344705174699037472653557986293726872710481345762068771628418073942186648687631045737526938815798180727975705449430772067380782479441079673555936175988990999855073437494348768881093135945497556370221521048248406169176801402625131767972870151231435007089389883786218245255814155002983593051874011078918298187002258317870272774813427006401828495803408873129135319715827634043401623107351901869655721385294016317048765834217362714058130260618986718042886350989610176496877822055261819394466741195246541044705270770157204969362685245126677337106146657361937323825605725934345301936406107293312070413125421130201958072405981421915448533824754772572869081929441165072912722809108873639475885186069188700733642227929005346016785780770471738176235587108548035491319230823463932685437686904773749445153887445123386451796020556023529518357900724803848396911821493144880474314439930440929976844767888553104642360630902483554294761511840776878162462157642584026960749503635853864141302151910676488252183919447003009164542658797642574901883165200611312919355793174369351738087274767899557946257686897630543607170671387009008310323090707792293237700792828574741550055113549744245942436694011311790122414859010185546784485758852918007039430737289679367818356568937873563074048402845468349200676029107300024200206743222537508715757446773475881471148807804260156433763980778296954185348931548978357430069918274002495201217701888322950755861815094698896908436016194418291105903742287115160136061550022592722673197172273486715171451718136845631631411172953607795114673635390382355421671233091128787829854192942722100235132983352570993445575771114760807379180916204559764095397892990469725855811031738144034631449886123479456681223129075951596809584853900216760379858450457546389074222280143307255002855168213137120280967470475003902367668836898162321901482632533133380896957070726411002094484389829319986453886501639805017613018316187074359263973708479894764753529161043073133043685903661858737218042660735230940519704041436174527430516799378746320211741597079552434696662293266340219087544934874766665518546167382582149392841428084486106826475403060568332005667696815960464056280647625976181533496504794252484745162332897689866145190501634636770317944258729991980212847390926803244806767940433812524647139346462915305491838402303884902992066705093382383917163646039060603692237273114551372778456341972117073115039814469329981815405704503887940304955276567422505842815000439352308882719960920459688332341177560075846930469144222074341492330559047397936468170099884068976870215522}
23607 182089185567393181774816097792943357773865848599202624763332197514383008086743: {94412,353985,377584,424782,778569,1156057,1627089,1651510,1981812,2359300,2615937,2831160,2898249,3019904,3039369,3136273,3185055,3321537,3397392,3822066,3985189,4480390,4730937,4830005,5153289,5376468,5612278,5796006,6102817,6240485,6744166,7090657,7488582,7517873,7542537,8017540,8353505,8718310,9214697,9224889,9495889,9621048,10024206,10051153,10129510,10228078,10461972,10823679,11043537,11330917,11413204,11615573,12155412,12160689,12174833,12204598,12463769,13521718,13875073,14358790,14611540,15275513,16069966,16336329,16413653,16941337,17015374,17166968,17230548,17435140,17533848,17766502,18969729,18990166,19136404,19175398,19312839,19316740,19384737,19443214,19725579,19799529,19804709,20100598,20490369,20594062,20867497,20922168,21206837,21456537,21732369,21870249,22072078,22991475,23180088,23537439,23601593,24201910,24524240,24622809,24829078,25443497,25959814,26077599,26327782,26999233,27224885,27236055,27337720,27589770,27776020,27913209,27985493,28186132,28684289,28715140,29042292,29051792,29292214,29429088,29629717,29810710,29962689,30066388,30448564,30690785,30754935,30990484,31382885,31531540,32006769,32072753,32137204,32423875,32436742,32669862,32683266,32766005,32805264,33107724,33109894,33224758,33331224,33773937,34458168,35287009,35352713,35529988,35772852,36214089,36217505,36828942,36852532,36905922,37320166,37431249,37463713,37497627,37659462,37836537,37837848,38429633,38765439,38883124,38908650,38916249,39319206,39859737,40441415,40532937,40905368,40936569,41184628,41474409,41502560,41846020,42040654,42567579,43461006,43487889,44157849,44272120,44291769,44554708,45495969,45651214,46018539,46108073,46454404,46518005,46560142,46690380,46965129,47463940,47699608,48529698,48810104,48828193,49566958,49650289,49803072,49806135,49846612,49894737,50056657,50142598,50206468,50215224,50293329,50514694,50705633,50732422,50957169,51297185,51487809,52243193,53059813,53126544,53519590,53662059,53870937,53914273,53993878,54486904,54531537,54781678,54783975,54892948,54911367,55547320,55821606,56028456,56114529,56492127,56509737,56802193,56956728,57544153,57773450,58093985,58219809,58352393,58436240,58876449,59249284,59338678,59767362,59794737,60126005,60127672,60187929,60449937,60645697,61297767,61405553,61556622,61758537,62490735,62733646,63032013,63145174,63157204,63465397,64076319,64223508,64427878,64481137,64759209,64854785,64867972,65189614,65216020,65370675,65669937,65740770,65979353,66656784,66709329,67161748,67228449,67502369,67643631,67694857,67752529,68049944,68869397,68893985,69024593,69328140,69712782,69728720,69818289,69894673,69947529,70123488,70219177,70809940,71509510,71749335,71754369,71883249,72151206,72193108,73590005,73698808,73813569,73881497,73950016,74034457,74273038,74455809,74921014,74949289,74988882,75230644,75597185,75738489,75947768,75976553,76532624,76556187,76691055,77020390,77530209,77825742,78259224,78259540,78296649,78444810,78806518,78807129,78888924,78943222,79466854,79680027,80268005,81145990,81173873,81480849,81803792,82115889,82533500,82672782,82911159,83003937,83193768,83674464,84023566,84074164,84244597,84769540,84921185,84964792,84971928,85415875,85441239,85761169,85811412,85854868,86099202,86636710,86796537,87048609,87315735,87324433,88041627,88269937,88307529,88308006,88502638,88684737,88789108,89075153,89944697,89988724,90438838,90716622,91298875,91355974,92029266,92046913,92115910,92424468,92517077,93112372,93128020,93136784,93592989,93911448,94133772,94782868,94857175,95313129,95585391,95593419,96183537,96321606,96432009,97375188,97672929,97697257,97820884,98118785,98292489,99035169,99040200,99587513,...,29319285940128401300703004630451847388653545122905145248702799293694602777861564298090157930046696992769764123590681208245398058453770129319747483089945836414178454026028737629330449545532508585577416189139181057891592785727585760657062866962284011742094629072849477028708766856826614425844090711257899252325752937129482942991685967933555876557391503485392553718971629076472487838511321662080341130166369856520095428365363647169798988848251713392523903560571357459020839951045049666507663529523744188062477537939611511367272444437405806217061047084958783657642525412813868295566986253651825412803736878662783215888722642748667504790255078838361982607223962551339656790342121018627565783229471420884676734747110913546374260223849058316753594424897269965835314288509833525704179576600180238715317475492702999754923498959696217089747824209527386942102902296205429781342667464549119247022806229541369732555656640487011790538175898003736840732277480816267662813516742096767121515619056802142515003114094178405607232311866647398210152238064956390598278096936711752115177032022500250041828448920277535104069096829264658908398533145066069969456577876468398377515277205384295965284450827630817748397827438017057762048556208980336979440590309065722018643103157442627110913279973031446568606290408223697271091963558174146158101071173719161619510333904263983486499782610156241523153321639703918246334555332281572372609253765202103937697651959305226847152510634084825679327367883721232504475389577811016618377447280503387476805409162220140509602742743705113309693702979573741451065102434661027852804483582077941024475573148751326044071087195390928480077064329526484415264745316733082892729091700111792869811567057906155235807454044027867690016005659219986042905985738408588901517952904609160939968105619688131695302937108608972132873172800737132158859303622894161747609369084213663310459213827779103783051100463341893508019025178671155707607264353380662822053236978846235195899028156530357160624167730831167685079677694030834035294277536851087205772595367732239717320711471659895661394965267151832829656963540946353725331442142267761165317243693236463876040441124255453780796211953227866014732378275879170504513746813988196463862352824747800916969379033689761554027607130912151849336919386530346445815410756007080513512465484636061688439856551189242862112325082670324616368913655041016967685183622288515278320176728638279377010559146105934519051727534853406810344611072604268202523801014043660950036300310114833806263073636170160213822206723211706390234650645971167445431278023397323467536145104877411003742801826552832484426133792722642048345362654024291627436658855613430672740204092325033889084009795758410230072757177577205268447447116759430411692672010453085573533132506849636693181744781289414083150352699475028856490168363656672141211068771374306839646143096839485704588783716547607216051947174829185219185021834693613927395214377280850325140569787675686319583611333420214960882504282752319705680421451205712505853551503255347243482852223948799700071345435606089616503141726584743979979680829752459707526419527474280611538895960562719842147130293741564609699565528855492788105827063991102846410779556062154261791145775199068119480317612395619328652044993439899510328631317402312149998277819251073873224089262142126729160239713104590852498008501545223940696084420971438964272300244757191378727117743499346534799217785752451955155476916388094987970319271086390204867210151910650718786970709019694372958237757603455827354488100057640073575875745469058590905538355909671827059167684512958175609672559721703994972723108556755831910457432914851133758764222500659028463324079941380689532498511766340113770395703716333111512238495838571096904702255149826103465305323283}
23608 182734015301150256068250467062136822957321199590028835050246956167420034556487: {118015,141618,330386,471980,566376,613418,637173,966247,1038092,1107367,1389391,1671127,2026418,2169452,2477265,2642416,2949125,2972718,3154226,3487916,3495391,3538950,3774880,3864332,4052492,4246740,4428716,4472647,4529856,4560746,5096088,5122346,5585191,5733099,5862607,6278191,6307916,6554887,6720585,6871052,7168624,7245367,7383247,7728008,8064702,8418417,8694009,9716191,9984776,10021925,10056716,10116249,10398391,11232873,11350447,11757391,12026310,12028327,12299852,12828064,13077465,13109191,13365608,13513327,13949296,14266505,14431572,14581418,14724716,14855767,15021097,15036309,15194265,15342117,15683306,15692958,16057807,16207216,16214252,17119806,17606066,18180367,18233118,18264425,18306897,18427946,18708127,18975146,19103191,19497607,20022487,20067818,20153527,20282577,20340626,20676967,21068791,21430418,21458710,21538185,21781772,21793925,21917310,21980527,22974064,23378464,23920505,24104949,24145925,24694567,25226546,25292972,25420318,25523061,25750452,25845822,25846316,26152710,26300772,26399372,26575466,26649753,27249847,27320492,27896224,28137391,28189418,28485249,28608716,28704606,28763097,28975110,28976492,29021407,29160332,29164821,29530418,30150897,30278167,30655300,30891093,30906784,31383252,32149807,32830412,33108117,33141391,34172150,34620127,34720025,34770132,35232665,35792197,35893925,36302865,36314740,36786360,37182967,37217612,37243617,37500818,37582985,37764266,38060705,38723056,38738105,38939721,38994127,39238784,39414425,39491673,39950252,40171505,40669927,41006580,41175986,41383807,41384655,41664030,41737157,42279198,42481706,42675692,42708841,43072710,43157167,43559816,43563438,43577688,43740352,43783826,43938321,43979191,44143632,44412485,44441632,44716065,44914327,45031916,45099582,45672846,45944224,45960847,46065665,46485726,46635818,46894226,47232007,47297310,47676041,47697136,47926418,48205806,48285452,48380047,48603905,48655113,49004793,49024899,49105256,49207896,49661586,49664841,49748191,49837137,49908332,49996836,50212616,50448716,50450464,50496818,50541487,51131710,51218647,51480785,51687252,51776618,51878200,51888332,52005391,52307525,52425608,52611713,53146316,53294982,53659278,53679391,54043916,54180533,54455047,54582092,55243413,55278798,55299212,55340150,55340906,55358883,55693385,55980249,56214727,56489193,56651767,56756772,56978791,57291377,57948008,57983852,58068005,58121618,58280407,58324686,58362975,58604191,58877132,58927327,58978809,59055692,59128466,59329925,59357167,59543701,59624510,60533287,60661292,61012630,61277191,61358052,61776942,62253840,62308265,62620172,62758085,62769030,63060981,64128146,64376618,64486457,64624946,64706264,64736647,65191509,65460391,65575829,65616818,66180607,66404096,66408180,66454297,66526316,66832062,66953632,66966046,67057772,67813567,67942892,68016391,68086418,68108630,68476821,68522191,68616185,68650412,68824807,69070226,69434150,69561266,69681606,69728767,69840213,70035570,70228447,70786346,70835392,71195910,71321407,71549412,71578318,71827916,72307447,72708716,72794547,72982418,72993391,73045300,73188727,73215156,73225706,73967191,74061605,74344193,74350437,74428808,74704608,74741047,74769918,74819372,74906777,75159590,75213897,75309702,75322836,75346316,75660793,75772041,75942304,76098633,76375346,76560487,77034967,77492129,77601967,77626412,78061226,78501932,78946505,79194391,79689816,79726316,80250572,80279385,80582191,80599916,80990817,81084965,81173426,81494686,81520025,81650066,81730356,81771847,81953791,82075496,82172517,82339422,82344716,82661513,82859191,83320980,83712233,83732409,83757391,83787818,83952185,84042684,84470767,85062430,85267807,85435092,85631344,86149418,86345612,86660175,87090026,87160900,87559466,87559916,87654360,88140391,88512425,88518677,88739647,88873926,88875712,88945772,89008017,89637932,89651043,89664818,89898026,90191508,90241385,90829418,91351087,91517191,92123510,92178727,92334933,92437520,92950376,93091052,93263372,93325327,93497984,94038305,94100469,94216327,94717761,94735806,94934710,95018767,95665780,95672492,95844332,96054497,96201608,96208927,96335262,96641817,96758791,96954638,96993367,97301958,97513106,97693207,97741418,97784421,97824030,97824425,98418092,98540647,98611155,98634718,99235486,99274412,99303487,99833191,99983887,99985176,...,39092381253504535067604006173935796518204726830540193664937065724926137037148752397453543906728929323693018831454241610993864077938360172426329977453261115218904605368038316839107266060710011447436554918852241410522123714303447680876083822616378682322792838763799302704945022475768819234458787615010532336434337249505977257322247957244741168743188671313856738291962172101963317118015095549440454840221826475360127237820484862893065318464335617856698538080761809945361119934726732888676884706031658917416636717252815348489696592583207741622748062779945044876856700550418491060755981671535767217071649171550377621184963523664890006387006771784482643476298616735119542387122828024836754377639295227846235646329481218061832346965132077755671459233196359954447085718013111367605572768800240318287089967323603999673231331946261622786330432279369849256137203061607239708456889952732158996030408306055159643407542187316015720717567864004982454309703307755023550418022322795689495354158742402856686670818792237874142976415822196530946869650753275187464370795915615669486902709363333666722437931893703380138758795772352878544531377526754759959275437168624531170020369607179061287045934436841090331197103250689410349398074945307115972587453745420962691524137543256836147884373297375262091475053877631596361455951410898861544134761564958882159347111872351977981999710146874988697537762186271890995112740443042096496812338353602805250263535945740302462870014178779767572436490511628310005967186103748022157836596374004516635740545549626854012803656991606817746258270639431655268086803246214703803739311442770588032634097531668434725428116260521237973436085772701979220352993755644110523638788933482390493082089410541540314409938725370490253354674212293314723874647651211451868690603872812214586624140826250842260403916144811962843830897067649509545145738163858882330145825445618217747278951770372138377401467284455858010692033571561540943476352471174217096070982638461646927865370875373809547498890307774890246772903592041112047059036715801449607696793823642986289760948628879860881859953689535777106209284721261804967108589523023681553756324924315285168053921499007271707728282604303821352976504367838894006018329085317595285149803766330401222625838711586348738703476174549535799115892515373795261087214341342774018016620646181415584586475401585657149483100110227099488491884873388022623580244829718020371093568971517705836014078861474579358735636713137875747126148096805690936698401352058214600048400413486445075017431514893546951762942297615608520312867527961556593908370697863097956714860139836548004990402435403776645901511723630189397793816872032388836582211807484574230320272123100045185445346394344546973430342903436273691263262822345907215590229347270780764710843342466182257575659708385885444200470265966705141986891151542229521614758361832409119528190795785980939451711622063476288069262899772246958913362446258151903193619169707800433520759716900915092778148444560286614510005710336426274240561934940950007804735337673796324643802965265066266761793914141452822004188968779658639972907773003279610035226036632374148718527947416959789529507058322086146266087371807323717474436085321470461881039408082872349054861033598757492640423483194159104869393324586532680438175089869749533331037092334765164298785682856168972213652950806121136664011335393631920928112561295251952363066993009588504969490324665795379732290381003269273540635888517459983960425694781853606489613535880867625049294278692925830610983676804607769805984133410186764767834327292078121207384474546229102745556912683944234146230079628938659963630811409007775880609910553134845011685630000878704617765439921840919376664682355120151693860938288444148682984661118094795872936340199768137953740431044}
23609 183381113690419892420120560396482036489296226595743130323673713786959945220756: {23609,188824,212427,495579,589975,707970,755168,849564,920127,1297615,1557138,2312114,2711815,3039627,3254178,3303020,3963624,4359895,4409647,4459077,4718600,4731339,4830415,5065615,5231874,5308425,5535895,5662320,5796498,6039808,6078738,6272546,6370110,6643074,6762007,6794784,6841119,7644132,7683519,7884895,7970378,8036347,8588815,8736679,8884759,8960780,9461874,9589327,9660010,10298779,10306578,10624207,10752936,11224556,11592012,11616559,11694907,12097053,12205634,12416647,12464827,12480970,12570895,12982111,13488332,14181314,14388439,14977164,15035746,15085074,15276811,15374815,15712519,15793327,16035080,16707010,17214319,17342347,17436620,18039465,18052879,18344671,18405895,18429394,18449778,18991778,19242096,20040199,20048412,20102306,20259020,20267815,20456156,20923944,21170551,21208639,21647358,21872127,22087074,22661834,22826408,23015311,23231146,23524959,23539437,23701759,24310824,24321378,24349666,24401647,24409196,24927538,25445659,25679709,26105167,26378251,26409099,27043436,27227215,27349677,27641919,27750146,27987871,28462719,28717580,29223080,29350639,29915527,30101727,30510939,30551026,31616215,32139932,32145627,32188065,32307895,32672658,32827306,32875965,32999215,33171199,33882674,34030748,34150615,34284667,34333936,34461096,34870280,35067696,35533004,35696527,35760895,35868811,36220615,36450415,37839819,37939458,37980332,38114839,38130477,38272808,38319125,38350796,38625678,38633480,38768733,38769474,38886428,38945467,39229065,39451158,39599058,39609418,39863199,40201196,40980738,41038015,41188124,41734994,41780479,41844336,42284127,42413674,42913074,42967099,43042747,43056909,43462665,43464738,43740498,43936039,44144156,44295627,45393425,45416839,45872407,45982950,46360176,46522015,46623247,47074878,47203186,48098359,48403820,48405031,49048480,49245618,49658156,49937815,50704507,50886994,51220411,51258225,51919628,52155198,52655564,53344615,53998466,54449770,54472110,54491359,54675440,55179540,55552040,55826418,55970986,56251227,56289895,56372264,56557279,56617981,56646399,56868271,57368578,57430280,58084584,58103584,58357387,58389451,58560919,58584428,58858176,58866511,59259434,59621420,59924839,59925378,60132776,60356815,60897128,61006327,61381570,61509870,61763979,61919407,61980968,62385415,62496045,62765770,63060895,63063080,63418797,63722559,64013538,64145506,64274408,64609065,64847750,64860415,64873484,65125207,65339724,65345157,65366532,65532010,65610528,65675739,66215448,66219788,66432895,66449516,66662448,67547874,67554895,67649373,68227615,68399767,68509269,68523739,68916336,68961919,69124015,69537787,69728589,69953727,70341339,70574018,70705426,70945965,71059087,71059976,71545704,71816059,71889627,72308709,72428178,72435010,72479815,72570199,72836719,73475119,73596415,73657884,73705064,73811844,73819615,74492379,74640332,74862498,74927426,74960059,74995254,75318924,75673074,75675696,75745227,75826615,76697565,76772119,76859266,76971679,77530878,77664927,77766248,77817300,77832498,77975599,78275215,78638412,78653707,79719474,79775527,79942473,80488917,80882830,81065874,81331579,81574519,81810736,81873138,82369256,82918197,82948818,83005120,83010225,83011359,83157895,83692040,83822215,84081308,84176407,84914971,84928615,85135158,85813015,86922012,86975778,87182427,87487029,88315698,88544240,88583538,88591879,88692699,88749067,89109416,89436765,89784895,90796699,90885895,90991938,91302428,91306625,91518945,92037078,92216146,92665413,92908808,93036010,93120284,93380760,93524215,93930258,94153545,94182895,94927880,95218267,95399216,95932759,96192219,96451579,96564927,96937419,97033015,97059396,97620208,97656386,98082079,98127415,98187559,98425227,99133916,99300578,99311311,99606144,99612270,99657895,99693224,99789474,...,58638571880256802601406009260903694777307090245810290497405598587389205555723128596180315860093393985539528247181362416490796116907540258639494966179891672828356908052057475258660899091065017171154832378278362115783185571455171521314125733924568023484189258145698954057417533713653228851688181422515798504651505874258965885983371935867111753114783006970785107437943258152944975677022643324160682260332739713040190856730727294339597977696503426785047807121142714918041679902090099333015327059047488376124955075879223022734544888874811612434122094169917567315285050825627736591133972507303650825607473757325566431777445285497335009580510157676723965214447925102679313580684242037255131566458942841769353469494221827092748520447698116633507188849794539931670628577019667051408359153200360477430634950985405999509846997919392434179495648419054773884205804592410859562685334929098238494045612459082739465111313280974023581076351796007473681464554961632535325627033484193534243031238113604285030006228188356811214464623733294796420304476129912781196556193873423504230354064045000500083656897840555070208138193658529317816797066290132139938913155752936796755030554410768591930568901655261635496795654876034115524097112417960673958881180618131444037286206314885254221826559946062893137212580816447394542183927116348292316202142347438323239020667808527966972999565220312483046306643279407836492669110664563144745218507530404207875395303918610453694305021268169651358654735767442465008950779155622033236754894561006774953610818324440281019205485487410226619387405959147482902130204869322055705608967164155882048951146297502652088142174390781856960154128659052968830529490633466165785458183400223585739623134115812310471614908088055735380032011318439972085811971476817177803035905809218321879936211239376263390605874217217944265746345601474264317718607245788323495218738168427326620918427655558207566102200926683787016038050357342311415214528706761325644106473957692470391798056313060714321248335461662335370159355388061668070588555073702174411545190735464479434641422943319791322789930534303665659313927081892707450662884284535522330634487386472927752080882248510907561592423906455732029464756551758341009027493627976392927724705649495601833938758067379523108055214261824303698673838773060692891630821512014161027024930969272123376879713102378485724224650165340649232737827310082033935370367244577030556640353457276558754021118292211869038103455069706813620689222145208536405047602028087321900072600620229667612526147272340320427644413446423412780469301291942334890862556046794646935072290209754822007485603653105664968852267585445284096690725308048583254873317711226861345480408184650067778168019591516820460145514355154410536894894233518860823385344020906171147066265013699273386363489562578828166300705398950057712980336727313344282422137542748613679292286193678971409177567433095214432103894349658370438370043669387227854790428754561700650281139575351372639167222666840429921765008565504639411360842902411425011707103006510694486965704447897599400142690871212179233006283453169487959959361659504919415052839054948561223077791921125439684294260587483129219399131057710985576211654127982205692821559112124308523582291550398136238960635224791238657304089986879799020657262634804624299996555638502147746448178524284253458320479426209181704996017003090447881392168841942877928544600489514382757454235486998693069598435571504903910310953832776189975940638542172780409734420303821301437573941418039388745916475515206911654708976200115280147151751490938117181811076711819343654118335369025916351219345119443407989945446217113511663820914865829702267517528445001318056926648159882761379064997023532680227540791407432666223024476991677142193809404510299652206930610646566}
23610 184030488664816852460732601492290208133662101571913341501355369315228986092651: {165221,236030,259589,283236,401081,660772,683849,943960,1013381,1061955,1107461,1132752,1226836,1248521,1274346,1436489,1671269,1718201,1858949,1932494,2076184,2214734,2335707,2374409,2655161,2778782,3215801,3342254,3468171,3542309,3821861,4052836,4128775,4194149,4338904,4519481,4881267,4937189,4954530,5284832,5585669,5631929,5898250,5945436,6308452,6324869,6463241,6601541,6975832,6990782,7077900,7291961,7383881,7549760,7705349,7728664,7847811,8104984,8347109,8493480,8694747,8857432,8895941,8945294,9059712,9118107,9121492,9306809,9408819,9489209,9555165,9762569,9964611,10192176,10244692,10262981,10807781,11079749,11170382,11200975,11466198,11725214,11955567,12074501,12556382,12615461,12615832,12840521,13109774,13110329,13155269,13441170,13649081,13742104,13783589,13962821,14030695,14186681,14192811,14337248,14490015,14490734,14766494,14857061,15436601,15456016,15459867,16129404,16236809,16768841,16836834,16860415,16901669,17167109,17299721,17388018,18308451,18721455,18753701,18841541,19432382,19543109,19969552,19973107,20043850,20067941,20113432,20232498,20678789,20796782,20853029,21271971,21331529,21795775,21895781,21982469,22415429,22465746,22545161,22553619,22627611,22700894,23451269,23514782,23924489,24052620,24056654,24096329,24599704,24953609,25060515,25323775,25381049,25570195,25656128,26105861,26154930,26218382,26731216,26913209,27026654,27167561,27506249,27644091,27674667,27898592,28487667,28533010,28863144,29066021,29150021,29162836,29401829,29449432,29569541,29711534,30042194,30072618,30153459,30388530,30511495,30684234,30698249,31366612,31385916,31904069,32115614,32152709,32194121,32414432,32428504,32471037,32773049,32896901,33130611,33144389,33488707,33802949,33804295,33992751,34049381,34239612,34377509,34623269,34786949,34846719,34868741,35154761,35212132,35358821,35481161,35603429,35896975,36360734,36466236,36482067,36524499,36528850,36578981,36613794,36855892,37226789,37391307,37416254,37950292,38194661,38206382,38435909,38995214,39037769,39477989,39717701,40044974,40135636,40174915,40307054,40565154,40673669,40681252,40713401,41353934,41625219,42137582,42217289,42538435,42860836,42917420,43076370,43082681,43161161,43200389,43435589,43563544,43587850,43834620,43961054,44256521,44416255,44801849,44918501,44957369,45384389,45733049,45826539,45948128,46003781,46756928,47159621,47351561,47475415,47841010,47938495,48209898,48291850,48422729,48608035,48765701,48879881,48955961,49008987,49240959,49325731,49389134,49639241,49790729,50251495,50453092,50583941,50585944,50696969,50824011,50840636,50885189,51046122,51223481,51336101,51485155,51500904,51673529,51691644,51692632,51785861,52159781,52305420,52601544,52616179,52798744,52830821,53150932,53165369,53284987,53299506,53573381,53684489,53721509,54233347,54238949,54460229,54497081,54499694,54640984,54791609,55180195,55489061,55781861,55792448,55928069,56240107,56256569,56274782,56378836,56584421,56657189,56693561,56909187,56970498,57020549,57217432,57409212,57419321,57526194,57938517,57950220,57952984,58042814,58154211,58286009,58320664,58322021,58329642,58933001,59060836,59176737,59183909,59291321,59362889,59398587,59414127,59684549,60112421,60301794,60361481,60504775,60556334,61283129,61310600,61318469,61471107,61782186,61812389,61813568,62023589,62072695,62177479,62602491,62766504,62900489,63005381,63389369,63620511,64031539,64299614,64369611,64491931,64742981,64777529,64899535,65197107,65363621,65604281,65610747,65660824,65672969,65819455,66187109,66216234,66221321,66282782,66289721,67243961,67413701,67707991,68045467,68056889,68344300,68562629,68974425,69240254,69267641,69440050,69535289,69540264,69735689,69769061,69835781,70465330,70612317,70804779,71031269,71163461,71361509,71584394,71723849,71787850,72073099,72249161,72314681,72543749,72605730,72629480,72641801,73228601,73230535,73521029,73572720,73618361,73868427,73974629,74365934,74435224,74487234,74526775,74748581,74780729,75001636,75165970,75229961,75528532,75805241,76028261,76091909,76121410,76330491,77042789,77232101,77326649,77446112,77476210,77498707,77879442,77970739,77988254,78232797,78455609,78477568,78549221,78642761,78828850,78860741,78983346,79233509,79326521,79666949,79900504,80343010,80406341,80498441,80590469,80804921,80997699,81091855,81171641,81295207,81339854,81674655,81708165,81810629,81962249,81992549,82013160,82351972,82767614,82769310,82774735,83061895,83328060,83474314,83587001,83719339,83739627,83956479,84123401,84390629,84479561,84558396,84963412,85217861,85351384,85417682,86052867,86145420,86314334,86330501,87119632,87126876,87155376,87231571,87402761,87480704,87567652,87861319,87876642,87958382,87977801,88178309,88287264,88349861,88362307,88526191,88749029,88824970,88883264,88889151,89432130,89599109,89828654,89888067,90063832,90199164,90469961,90525881,91138889,91345692,91581607,91803209,91888448,91921694,91941029,92072355,92106149,92131330,92264805,92681801,92954681,92971452,93271636,93300415,93362501,93560731,93788452,94148655,94226501,94464014,94494821,94594620,95108921,95294981,95348069,95352082,95394272,95692361,95850809,95852836,96020307,96062659,96140549,96218259,96411612,96570904,96760094,96795449,97003961,97082021,97160009,97207810,97271625,97310226,97341701,97690879,98009586,98049798,98090249,98167301,98210512,98244281,98298015,98321189,98415792,98577029,98857529,98932639,99314441,99323172,99329682,99339749,99390341,99496382,99674274,99816664,99869369,99993672,...,87957857820385203902109013891355542165960635368715435746108397881083808333584692894270473790140090978309292370772043624736194175361310387959242449269837509242535362078086212887991348636597525756732248567417543173674778357182757281971188600886852035226283887218548431086126300570479843277532272133773697756977258811388448828975057903800667629672174510456177661156914887229417463515533964986241023390499109569560286285096090941509396966544755140177571710681714072377062519853135148999522990588571232564187432613818834534101817333312217418651183141254876350972927576238441604886700958760955476238411210635988349647666167928246002514370765236515085947821671887654018970371026363055882697349688414262654030204241332740639122780671547174950260783274691809897505942865529500577112538729800540716145952426478108999264770496879088651269243472628582160826308706888616289344028002393647357741068418688624109197666969921461035371614527694011210522196832442448802988440550226290301364546857170406427545009342282535216821696935599942194630456714194869171794834290810135256345531096067500750125485346760832605312207290487793976725195599435198209908369733629405195132545831616152887895853352482892453245193482314051173286145668626941010938321770927197166055929309472327881332739839919094339705818871224671091813275890674522438474303213521157484858531001712791950459499347830468724569459964919111754739003665996844717117827761295606311813092955877915680541457531902254477037982103651163697513426168733433049855132341841510162430416227486660421528808228231115339929081108938721224353195307303983083558413450746233823073426719446253978132213261586172785440231192988579453245794235950199248678187275100335378609434701173718465707422362132083603070048016977659958128717957215225766704553858713827482819904316859064395085908811325826916398619518402211396476577910868682485242828107252640989931377641483337311349153301390025680524057075536013467122821793060141988466159710936538705587697084469591071481872503192493503055239033082092502105882832610553261617317786103196719151962134414979686984184895801455498488970890622839061175994326426803283495951731079709391628121323372766361342388635859683598044197134827637511513541240441964589391587058474243402750908137101069284662082821392736455548010758159591039337446232268021241540537396453908185065319569653567728586336975248010973849106740965123050903055550866865545834960530185914838131031677438317803557155182604560220431033833217812804607571403042130982850108900930344501418789220908510480641466620169635119170703951937913502336293834070191970402608435314632233011228405479658497453278401378167926145036087962072874882309976566840292018220612276975101667252029387275230690218271532731615805342341350278291235078016031359256720599397520548910079545234343868242249451058098425086569470505090970016423633206314122920518938429290518457113766351149642821648155841524487555657555065504080841782185643131842550975421709363027058958750834000260644882647512848256959117041264353617137517560654509766041730448556671846399100214036306818268849509425179754231939939042489257379122579258582422841834616687881688159526441390881224693829098696586566478364317481191973308539232338668186462785373437325597204358440952837186857985956134980319698530985893952206936449994833457753221619672267786426380187480719139313772557494025504635671822088253262914316892816900734271574136181353230498039604397653357257355865466430749164284963910957813259170614601630455731952156360912127059083118874713272810367482063464300172920220727627236407175772716615067729015481177503053538874526829017679165111984918169325670267495731372298744553401276292667501977085389972239824142068597495535299020341311187111148999334536715487515713290714106765449478310395915969849}
23611 184682148181491412165425492651937861747551565059784559904166586895104132543045: {47218,354045,377648,424854,825965,991158,1179950,1415940,1510336,1533545,1699128,1816661,1840254,1911519,2595230,2898741,3114276,3322101,3796541,4168173,4624228,4928429,5013381,5066045,5211401,5423630,6079254,6103853,6508356,6606040,6762581,7091861,7431795,7750253,7885565,7927248,8719790,8819294,8847375,8918154,9437200,9462678,9497501,9590141,9660830,10131230,10463748,10486173,10616850,11038853,11071790,11142461,11324640,11332841,11401865,11592996,12024341,12079616,12157476,12417701,12545092,12555881,12740220,12805865,12983213,13286148,13417941,13524014,13589568,13682238,13877429,14817353,15288264,15367038,15769790,15794669,15940756,16072694,16755573,16796141,17177630,17199297,17473358,17587821,17599253,17769518,17921560,18054413,18664841,18834573,18923748,19178654,19239533,19320020,19664661,20161755,20495501,20597558,20613156,21248414,21505872,21524741,21736101,22149741,22449112,22630589,23184024,23233118,23389814,23703773,24194106,24411268,24833294,24929654,24961940,25141790,25255251,25768253,25964222,26082027,26622101,26976664,27199913,27272429,28362628,28374941,28776878,29148573,29353133,29918069,29954328,30065775,30071492,30170148,30348747,30553622,30749630,30851561,31195173,31374821,31425038,31586654,32070160,32222153,32791781,33414020,33698619,34051341,34428638,34684694,34873240,35272173,36078930,36084981,36105758,36453545,36689342,36811790,36858788,36899556,37073693,37437821,37983556,38118101,38484192,38746553,39208265,39232395,39327573,40080398,40096824,40204612,40518040,40535630,40539981,40912312,41847888,42341102,42390413,42417278,42715853,42799515,43294716,43744254,44015165,44174148,44262701,44567301,45063291,45108927,45231053,45323668,45582795,45652816,46026351,46026461,46030622,46069865,46198901,46462292,47049918,47078874,47403518,47437865,47810861,48173421,48621648,48642756,48699332,48803294,48818392,49768553,49855076,50065253,50169545,50708861,50851565,50868701,50891318,51030581,51359418,51743309,52210334,52756502,52818198,53576045,53646775,54086872,54454430,54541101,54699354,54793275,54920691,55100201,55283838,55500292,55975742,56124381,56925438,57309573,57435160,57453221,58446160,58492821,58701278,58796009,58871549,59642333,59831054,60067461,60203454,60457781,60460581,60533213,60847731,61021878,61102052,62030901,63066365,63206373,63232430,63550795,64279864,64291254,64376130,64614555,64615790,64927301,65130821,65345316,65381775,65654612,65751930,65941581,65998430,66342398,66438665,67765348,68061496,68301230,68569334,68667872,68922192,68967821,69569513,69740560,69912941,70135392,70326521,70473545,71066008,71393054,71521790,71736341,71737622,71761515,72314847,72437775,72441230,72900830,73177481,73826045,73992053,74083701,74198153,74682461,75679638,75878916,75960664,75965801,76229678,76260954,76545616,76569183,76638250,76701592,77251356,77266960,77537466,77538948,77772856,77859941,77890934,78458130,78660461,78805853,78902316,79198116,79218836,79726398,79949259,80402392,81749541,81961476,82076030,82181021,82376248,83469988,83560958,83688672,83978921,84412173,84499541,84568254,84609341,84722429,84827348,85430375,85455747,85804133,85826148,85934198,86085494,86113818,86289291,86925330,86929476,87064221,87339581,87480996,87494463,87718601,87872078,88285253,88288312,88591254,88599461,89260589,90452691,90786850,90804581,90833678,90834501,91744814,91965900,92673279,92720352,92954381,93006053,93044030,93246494,93352121,93752045,94149756,94406372,94410665,94576853,95300381,95518661,96196718,96449421,96773621,96807640,96810062,98096960,98491236,99014453,99316312,99324351,99424173,99875630,...,117277143760513605202812018521807389554614180491620580994811197174778411111446257192360631720186787971079056494362724832981592233815080517278989932359783345656713816104114950517321798182130034342309664756556724231566371142910343042628251467849136046968378516291397908114835067427306457703376362845031597009303011748517931771966743871734223506229566013941570214875886516305889951354045286648321364520665479426080381713461454588679195955393006853570095614242285429836083359804180198666030654118094976752249910151758446045469089777749623224868244188339835134630570101651255473182267945014607301651214947514651132863554890570994670019161020315353447930428895850205358627161368484074510263132917885683538706938988443654185497040895396233267014377699589079863341257154039334102816718306400720954861269901970811999019693995838784868358991296838109547768411609184821719125370669858196476988091224918165478930222626561948047162152703592014947362929109923265070651254066968387068486062476227208570060012456376713622428929247466589592840608952259825562393112387746847008460708128090001000167313795681110140416276387317058635633594132580264279877826311505873593510061108821537183861137803310523270993591309752068231048194224835921347917762361236262888074572412629770508443653119892125786274425161632894789084367854232696584632404284694876646478041335617055933945999130440624966092613286558815672985338221329126289490437015060808415750790607837220907388610042536339302717309471534884930017901558311244066473509789122013549907221636648880562038410970974820453238774811918294965804260409738644111411217934328311764097902292595005304176284348781563713920308257318105937661058981266932331570916366800447171479246268231624620943229816176111470760064022636879944171623942953634355606071811618436643759872422478752526781211748434435888531492691202948528635437214491576646990437476336854653241836855311116415132204401853367574032076100714684622830429057413522651288212947915384940783596112626121428642496670923324670740318710776123336141177110147404348823090381470928958869282845886639582645579861068607331318627854163785414901325768569071044661268974772945855504161764497021815123184847812911464058929513103516682018054987255952785855449411298991203667877516134759046216110428523648607397347677546121385783261643024028322054049861938544246753759426204756971448449300330681298465475654620164067870740734489154061113280706914553117508042236584423738076206910139413627241378444290417072810095204056174643800145201240459335225052294544680640855288826892846825560938602583884669781725112093589293870144580419509644014971207306211329937704535170890568193381450616097166509746635422453722690960816369300135556336039183033640920291028710308821073789788467037721646770688041812342294132530027398546772726979125157656332601410797900115425960673454626688564844275085497227358584572387357942818355134866190428864207788699316740876740087338774455709580857509123401300562279150702745278334445333680859843530017131009278822721685804822850023414206013021388973931408895795198800285381742424358466012566906338975919918723319009838830105678109897122446155583842250879368588521174966258438798262115421971152423308255964411385643118224248617047164583100796272477921270449582477314608179973759598041314525269609248599993111277004295492896357048568506916640958852418363409992034006180895762784337683885755857089200979028765514908470973997386139196871143009807820621907665552379951881277084345560819468840607642602875147882836078777491832951030413823309417952400230560294303502981876234363622153423638687308236670738051832702438690238886815979890892434227023327641829731659404535035056890002636113853296319765522758129994047065360455081582814865332446048953983354284387618809020599304413861221293132}
23612 185336100225224354395512629051383660909331227650734039841046129837024289548821: {70827,306787,330442,448267,472060,519178,566472,637281,731011,802162,1321544,1367698,1486737,1718347,1769925,1887920,2026762,2123910,2214922,2265504,2421427,2453672,2497042,2548692,2760381,2872978,3262747,3342538,3436402,3717898,3864988,3892845,4152368,4241011,4429468,4671414,4748818,5310322,5557564,5632411,5780285,6431602,6684508,6936342,7084618,7643722,8105672,8135445,8257550,8388298,8677808,9038962,9118881,9490027,9762534,9874378,9909060,10172947,10569664,11171338,11263858,11796500,11890872,12481411,12616904,12649738,12926482,13079685,13156411,13203082,13228941,13377231,13829611,13951664,13981564,14155800,14194017,14232667,14491245,14583922,14767762,15099520,15196845,15410698,15457328,15681365,15695622,15838411,15925275,16209968,16607685,16694218,16986960,17168611,17389494,17714864,17791882,17890588,18119424,18236214,18242984,18613618,18817638,18887107,18978418,19110330,19525138,19642973,19925945,19929222,20286021,20384352,20489384,20523357,20525962,21615562,22159498,22340764,22401950,22417411,22932396,23050557,23450428,23453347,23604581,23654685,23911134,23969587,24098467,24109041,24149002,24150025,25112764,25230922,25231664,25383307,25681042,25766445,26210037,26219548,26220658,26278411,26310538,26654277,26882340,27298162,27484208,27551011,27567178,27925642,28061390,28373362,28385622,28674496,28767981,28980030,28981468,29446411,29532988,29714122,30514085,30873202,30896337,30912032,30919734,31202425,31574947,31872621,32197027,32258808,32321227,32473618,32817307,32941147,33537682,33673668,33720830,33803338,34175587,34334218,34599442,34776036,34849677,35084721,35402827,35453285,35647411,35798273,36291159,36616902,36622867,37249941,37394481,37442910,37507402,37589365,37683082,37712685,38077411,38318827,38864764,38946333,39086218,39939104,39946214,40087700,40135882,40226864,40464996,40478611,40717147,41357578,41593564,41706058,41767525,42260611,42543942,42663058,42716093,43165317,43204387,43439611,43591550,43791562,43964938,44260627,44830858,44844907,44931492,44961547,45090322,45107238,45255222,45401788,45427387,45776011,45830433,46073485,46124445,46702507,46902538,47029564,47137557,47326013,47379981,47479445,47509411,47848978,48105240,48113308,48192658,48884467,49199408,49907218,50121030,50255765,50647550,50762098,51140390,51312256,51642957,52027041,52211722,52276747,52309860,52436764,53462432,53726611,53826418,54053308,54118395,54158637,54335122,54502267,55012498,55034013,55217685,55288182,55349334,55797184,56152507,56244881,56654585,56698987,56975334,57066020,57726288,58077865,58132042,58300042,58325672,58327627,58803658,58898864,59139082,59423068,59553809,60084388,60120597,60145236,60306918,60777060,60803445,60874165,61022990,61324411,61368468,61396498,61853611,62170267,62182757,62318845,62696587,62733224,62771832,62906611,63221107,63511653,63625917,63808138,64231228,64305418,64388242,64783867,64828864,64857008,64942074,64991011,65546098,65586961,65616381,65793802,66227827,66261222,66288778,66330427,66465581,66535411,66977414,67113893,67605898,67608590,67759267,67985502,68051249,68098762,68479224,68755018,69045933,69246538,69375365,69573898,69693438,69737482,69775987,69876067,70309522,70352093,70375387,70424264,70574611,70574877,70618311,70717642,70962322,71071411,71105277,71206858,71763907,71793950,72079217,72721468,72932472,72964134,73048998,73057700,73157962,73204941,73227588,73711784,74453578,74782614,74788267,74832508,74919493,75173467,75673637,75900584,76131427,76336977,76377565,76389322,76412764,76871818,77039127,77252273,77366011,77990428,78075538,78315501,78494827,78955978,79134753,79227297,79435402,80089948,80168611,80271272,80349830,80445307,80614108,81130308,81347338,81362504,81426802,81681645,82001011,82049031,82068265,82675549,82707868,82925757,83250438,83625547,83963613,83983387,84275164,84434578,84706685,85076870,85388157,85721672,85834840,86152740,86165362,86322322,86400778,86871178,86891611,86901773,87127088,87175700,87498427,87669240,87922108,88015747,88051917,88513042,88832510,89603698,89746581,89837002,89914738,90305181,90768778,90859349,91466098,91532817,91589381,91653078,91896256,92007562,92143507,92147237,92390611,93513856,93568673,93859627,94319242,94665667,94703122,94848645,94950830,95464507,95682020,95876990,96177307,96419796,96436881,96564195,96583700,96845458,96923685,97216070,97352347,97531402,97759762,97911922,98017974,98481918,98511187,98627895,98651462,98741011,98778268,98893867,98941037,98997645,99023545,99278482,99350707,99513597,99581458,...,175915715640770407804218027782711084331921270737430871492216795762167616667169385788540947580280181956618584741544087249472388350722620775918484898539675018485070724156172425775982697273195051513464497134835086347349556714365514563942377201773704070452567774437096862172252601140959686555064544267547395513954517622776897657950115807601335259344349020912355322313829774458834927031067929972482046780998219139120572570192181883018793933089510280355143421363428144754125039706270297999045981177142465128374865227637669068203634666624434837302366282509752701945855152476883209773401917521910952476822421271976699295332335856492005028741530473030171895643343775308037940742052726111765394699376828525308060408482665481278245561343094349900521566549383619795011885731059001154225077459601081432291904852956217998529540993758177302538486945257164321652617413777232578688056004787294715482136837377248218395333939842922070743229055388022421044393664884897605976881100452580602729093714340812855090018684565070433643393871199884389260913428389738343589668581620270512691062192135001500250970693521665210624414580975587953450391198870396419816739467258810390265091663232305775791706704965784906490386964628102346572291337253882021876643541854394332111858618944655762665479679838188679411637742449342183626551781349044876948606427042314969717062003425583900918998695660937449138919929838223509478007331993689434235655522591212623626185911755831361082915063804508954075964207302327395026852337466866099710264683683020324860832454973320843057616456462230679858162217877442448706390614607966167116826901492467646146853438892507956264426523172345570880462385977158906491588471900398497356374550200670757218869402347436931414844724264167206140096033955319916257435914430451533409107717427654965639808633718128790171817622651653832797239036804422792953155821737364970485656214505281979862755282966674622698306602780051361048114151072026934245643586120283976932319421873077411175394168939182142963745006384987006110478066164185004211765665221106523234635572206393438303924268829959373968369791602910996977941781245678122351988652853606566991903462159418783256242646745532722684777271719367196088394269655275023027082480883929178783174116948486805501816274202138569324165642785472911096021516319182078674892464536042483081074792907816370130639139307135457172673950496021947698213481930246101806111101733731091669921060371829676262063354876635607114310365209120440862067666435625609215142806084261965700217801860689002837578441817020961282933240339270238341407903875827004672587668140383940805216870629264466022456810959316994906556802756335852290072175924145749764619953133680584036441224553950203334504058774550461380436543065463231610684682700556582470156032062718513441198795041097820159090468687736484498902116196850173138941010181940032847266412628245841037876858581036914227532702299285643296311683048975111315110131008161683564371286263685101950843418726054117917501668000521289765295025696513918234082528707234275035121309019532083460897113343692798200428072613636537699018850359508463879878084978514758245158517164845683669233375763376319052882781762449387658197393173132956728634962383946617078464677336372925570746874651194408716881905674373715971912269960639397061971787904413872899989666915506443239344535572852760374961438278627545114988051009271343644176506525828633785633801468543148272362706460996079208795306714514711730932861498328569927821915626518341229203260911463904312721824254118166237749426545620734964126928600345840441455254472814351545433230135458030962355006107077749053658035358330223969836338651340534991462744597489106802552585335003954170779944479648284137194991070598040682622374222297998669073430975031426581428213530898956620791831939698}
23613 185992352808522287005012142702693344161189137062762954838693387539365630664821: {94436,495663,590075,708090,755296,778767,849708,1156351,1203243,1651930,1982316,2051547,2146963,2359900,2831880,3020672,3040143,3067090,3185865,3322383,3398256,3633322,3680508,3745563,3823038,4309467,4831235,5013807,5154603,5190460,5536835,5576847,5797482,5824507,6228552,6644202,6946955,7007121,7092463,7123227,7593082,7965483,8336346,8355635,9248456,9647403,9856858,10026762,10132090,10404513,10422802,10626011,10626927,10847260,11039791,11333803,11465583,11618531,12158508,12207706,12386325,12466943,12582447,13016712,13168363,13212080,13525162,13558443,13729067,13878607,14183722,14643801,14745625,14811567,14863590,15500506,15715187,15771130,15854496,15962611,16560571,16757007,16895787,17439580,17476955,17638588,17694750,17836308,17928211,18377711,18666427,18815651,18874400,18925356,18974607,18995002,19180282,19321660,19389723,19804623,20262460,20927496,20972346,21233700,21875883,22077706,22143580,22151643,22206707,22284922,22363235,22649280,22665682,22803730,23116047,23185992,23543433,23607611,24048682,24159232,24314952,24835402,25041327,25090184,25111762,25480440,25611730,25966426,26084241,26572296,26687823,26835882,27048028,27179136,27354321,27364476,27754858,27920427,27925955,28226457,28467627,28665495,28691603,29287707,29313035,29634706,29893833,30576528,30734076,30788943,31377487,31390955,31462483,31539580,31589338,31881512,31931567,32080931,32145388,32224891,32423343,32774435,33239247,33511146,33592282,33602925,34355260,34398594,34946716,35175642,35198506,35539036,35843120,35866701,36108826,36167147,36223503,36226835,36916235,37329682,37669146,37846383,37847496,38357308,38479066,38521563,38640040,38753923,39329322,39330987,39465807,39555611,40323510,40947243,40991002,41195116,41226312,41350767,41888463,42092085,42496828,42560043,42578433,43011744,43049482,43304971,43470045,43472202,44299482,44571183,44898224,45261178,46309803,46368048,46379601,46466236,46779628,47407546,48388212,48580955,48710427,48822536,49666588,49859308,49923880,50109625,50283580,50306523,50510502,50581245,50705007,51034963,51501327,51536506,51899163,51928444,51991955,52164054,53200867,53244202,53953328,54399826,54544858,54636011,54891571,54925353,56164365,56261103,56524623,56725256,56749882,56752235,57553756,58278811,58297146,58629327,58706266,58786955,59391251,59836138,59894747,59908656,59919321,60131550,60141635,60142984,60203823,60340296,60697494,61107244,61499260,61621231,61664107,61703122,62036367,62390346,62559087,62749642,62850076,63173308,63815913,63994587,64140320,64444306,64497811,65387325,65545955,65583562,65687343,65947407,66413011,66828040,67246287,67397238,67519727,67566635,67635483,67660857,67882833,68102682,68681731,68857276,69042347,69369388,69575467,69746480,70237363,70353807,70544346,70681967,71192191,71257931,71332525,71773467,72085211,72157860,72169962,72211516,72288987,72565807,72907090,73378684,73623580,73717576,73757083,73799112,74147386,74278835,74860827,74875642,75006463,75105485,75181545,75967112,75971325,76143147,76236202,76710585,76968384,77493106,78317583,78363251,78416530,78464790,78655146,79315267,79678511,80160796,80193648,80289035,80409224,80739627,81036080,81071260,81079962,81502683,81824624,82518747,82932273,83024001,83695776,84682204,84780826,84834556,85431706,85463001,85599030,86589432,87198063,87450063,87488508,88030330,88205487,88292911,88348296,88525402,88708623,88971113,89134602,89455603,90126582,90180971,90217854,90460377,90462106,90647336,90901835,91165590,91305632,91322125,91534485,92052702,92052922,92061244,92094747,92139730,92397802,92924584,92962363,93014131,93154931,93176243,93540635,94099836,94157748,94807036,94875730,94899491,95515955,95621722,95712207,96346842,96458127,96582363,97243296,97285512,97398664,97413111,97488035,97606588,97636784,97905883,98319147,98662963,98690703,99022927,99391833,99433167,99537106,99710152,...,263873573461155611706327041674066626497881906106146307238325193643251425000754078682811421370420272934927877112316130874208582526083931163877727347809512527727606086234258638663974045909792577270196745702252629521024335071548271845913565802660556105678851661655645293258378901711439529832596816401321093270931776434165346486925173711402002889016523531368532983470744661688252390546601894958723070171497328708680858855288272824528190899634265420532715132045142217131187559559405446998568971765713697692562297841456503602305451999936652255953549423764629052918782728715324814660102876282866428715233631907965048942998503784738007543112295709545257843465015662962056911113079089167648092049065242787962090612723998221917368342014641524850782349824075429692517828596588501731337616189401622148437857279434326997794311490637265953807730417885746482478926120665848868032084007180942073223205256065872327593000909764383106114843583082033631566590497327346408965321650678870904093640571511219282635028026847605650465090806799826583891370142584607515384502872430405769036593288202502250376456040282497815936621871463381930175586798305594629725109200888215585397637494848458663687560057448677359735580446942153519858437005880823032814965312781591498167787928416983643998219519757283019117456613674013275439827672023567315422909640563472454575593005138375851378498043491406173708379894757335264217010997990534151353483283886818935439278867633747041624372595706763431113946310953491092540278506200299149565397025524530487291248682459981264586424684693346019787243326816163673059585921911949250675240352238701469220280158338761934396639784758518356320693578965738359737382707850597746034561825301006135828304103521155397122267086396250809210144050932979874386153871645677300113661576141482448459712950577193185257726433977480749195858555206634189429733732606047455728484321757922969794132924450011934047459904170077041572171226608040401368465379180425965398479132809616116763091253408773214445617509577480509165717099246277506317648497831659784851953358309590157455886403244939060952554687404366495466912671868517183527982979280409850487855193239128174884363970118299084027165907579050794132591404482912534540623721325893768174761175422730208252724411303207853986248464178209366644032274478773118012338696804063724621612189361724555195958708960703185759010925744032921547320222895369152709166652600596637504881590557744514393095032314953410671465547813680661293101499653438413822714209126392948550326702791033504256367662725531441924399860508905357512111855813740507008881502210575911207825305943896699033685216438975492359835204134503778435108263886218624646929929700520876054661836830925305001756088161825692070654814598194847416027024050834873705234048094077770161798192561646730238635703031604726748353174295275259708411515272910049270899618942368761556815287871555371341299053448928464944467524573462666972665196512242525346556929395527652926265128089081176876252502000781934647942538544770877351123793060851412552681963529298125191345670015539197300642108920454806548528275539262695819817127467772137367737775747268525503850063645064478579324172643674081487296089759699435092952443575919925617697016004559388356120311976791613075322858511560573957868404940959095592957681856620809349984500373259664859016803359279140562442157417941317672482076513907015466264759788742950678450702202814722408544059691494118813192960071772067596399292247492854891732873439777511843804891367195856469082736381177249356624139818431102446190392900518760662182881709221527318149845203187046443532509160616623580487053037495335954754507977010802487194116896233660203828878002505931256169916719472426205792486605897061023933561333446998003610146462547139872142320296348434931187747909547}
23614 186650913971713287621673504658002176344998021686242178098982230833528058315475: {118045,141654,259633,613574,660884,896534,944120,1038356,1062135,1107649,1132944,1248733,1274562,1462022,1604324,1953073,2477895,2643088,2735396,2949875,2973474,3436694,3539850,3775840,3915649,4053524,4247820,4429844,4531008,4600635,4613149,4842854,4907344,4994084,5097384,5449983,5520762,5734557,5745956,6002749,6488075,6525494,6556573,6685076,6833053,6872804,7385149,7435796,7729976,7785690,8092399,8304736,8482022,8696223,8858936,9342828,9497636,9966303,10620644,11115128,11264822,11389623,11560570,12504519,12842749,12863204,13369016,13516849,13559075,13651453,13872684,14169236,14725693,14785287,14993533,15040143,15198135,15287444,15528349,15634203,16211344,16270890,16515100,16776596,16993153,17355616,17391133,18077924,18185149,18237762,18311559,18844849,18980054,19525068,19634113,19748756,19818120,20158849,20287743,20345894,21139328,21275583,21799475,21953911,21986353,22048235,22116349,22295385,22342676,22527716,23250759,23593000,23656695,23781744,24152075,24829633,24962822,25233808,25299476,25328075,25852964,26159370,26312822,26406164,26457882,26493373,26542125,26754462,27257149,27384193,27659222,27679475,27896323,27903328,27963128,28311600,28388034,28465334,28492503,28770423,28982490,29155249,29167844,29535524,30199040,30393690,30411649,30821396,30914656,31362730,31386311,31391244,31458519,31676822,31850550,32419936,32778973,33116559,33215370,33388436,33427383,33644593,33810035,33973920,33998523,34205595,34337222,34778988,34875073,35242813,35429728,35583764,35781176,35976349,36073023,36238848,36472428,36485968,37227236,37253103,37635276,37667643,37677853,37774214,37919773,37956836,38220660,38417595,38949639,39050276,39285946,39424475,39485233,39851890,39858444,40181735,40203649,40253823,40572042,40768704,40800349,40978768,41046714,41051924,41276413,41514013,41632287,41869873,42719719,42944075,43169149,43231124,43286833,43683395,43756849,44318996,44423795,44452059,44681528,44803900,44834822,45392833,45864792,46101114,46900856,46906694,47209162,47245249,47309370,47360413,47384007,47820349,47822268,47939174,47946635,48196934,48218082,48298004,48300050,48393649,48508093,48965149,49634599,50225528,50266719,50388423,50461844,50463328,50766614,50781853,51345793,51362084,51493895,51532890,51597891,52420074,52439096,52441316,52556822,52621076,52625111,52763463,52797759,53121035,53308554,53764680,54163239,54470593,54596324,54968416,55102022,55134356,55242973,55851284,55994523,56122780,56340253,56503719,56668033,56746724,56771244,57212893,57348992,57535962,57718599,57960060,57962936,58082795,58474535,58892822,58993983,59051953,59065976,59374333,59428244,60017149,60485265,61028170,61486503,61746404,61792674,61824064,61839468,62083235,62324135,62404850,62854475,63149894,63745242,64236349,64394054,64502879,64517616,64574223,64642454,64910555,64947236,65208303,65376433,65634614,65685853,65882294,66302749,66449223,66471223,67075364,67347336,67441660,67606676,67891767,68351174,68668436,68946013,69198884,69552072,69699354,69849649,70169442,70249393,70358071,70805654,70906570,71111319,71294822,71596546,71935453,71942195,72329149,72427393,72582318,73233804,73245734,73308349,73698013,74499882,74667133,74788962,74885820,75014804,75178730,75366164,75425370,75629053,75765753,76107313,76154822,76298113,76384055,76637654,76874075,77153149,77304759,77511863,77729528,77892666,78172436,78246081,78562595,78966635,79316419,79590493,79866303,79878208,79892428,80175400,80271764,80453728,80882749,80929992,80957222,81309011,81434294,81599739,81706033,81817287,82160893,82682567,82715156,83187128,83412116,83535050,83733551,84521222,85087884,85124823,85223831,85294513,85326116,85382749,85432186,85910653,86071595,86330634,86408774,86711735,86879222,87183100,87219073,87246383,87445719,87583124,87929876,88059399,88377311,88521254,88541219,88938433,89661716,89689814,89754207,89862984,89923094,90180644,90197325,90214476,90264395,90510444,90545149,90803576,90854774,91046241,91297153,91552022,91660866,91723355,92029475,92146970,92248890,92290753,92554683,93355453,93405014,93585519,93805076,94059128,94124463,94275114,94652026,94759962,94958890,95018822,95129533,95368753,95697956,96210480,96226616,96385316,96555133,96666459,96712093,97103233,97125511,97707467,97768934,98111773,98375343,98398816,99260353,99412273,99814436,...,351831431281540815608436055565422168663842541474861742984433591524335233334338771577081895160560363913237169483088174498944776701445241551836969797079350036970141448312344851551965394546390103026928994269670172694699113428731029127884754403547408140905135548874193724344505202281919373110129088535094791027909035245553795315900231615202670518688698041824710644627659548917669854062135859944964093561996438278241145140384363766037587866179020560710286842726856289508250079412540595998091962354284930256749730455275338136407269333248869674604732565019505403891710304953766419546803835043821904953644842543953398590664671712984010057483060946060343791286687550616075881484105452223530789398753657050616120816965330962556491122686188699801043133098767239590023771462118002308450154919202162864583809705912435997059081987516354605076973890514328643305234827554465157376112009574589430964273674754496436790667879685844141486458110776044842088787329769795211953762200905161205458187428681625710180037369130140867286787742399768778521826856779476687179337163240541025382124384270003000501941387043330421248829161951175906900782397740792839633478934517620780530183326464611551583413409931569812980773929256204693144582674507764043753287083708788664223717237889311525330959359676377358823275484898684367253103562698089753897212854084629939434124006851167801837997391321874898277839859676447018956014663987378868471311045182425247252371823511662722165830127609017908151928414604654790053704674933732199420529367366040649721664909946641686115232912924461359716324435754884897412781229215932334233653802984935292293706877785015912528853046344691141760924771954317812983176943800796994712749100401341514437738804694873862829689448528334412280192067910639832514871828860903066818215434855309931279617267436257580343635245303307665594478073608845585906311643474729940971312429010563959725510565933349245396613205560102722096228302144053868491287172240567953864638843746154822350788337878364285927490012769974012220956132328370008423531330442213046469271144412786876607848537659918747936739583205821993955883562491356244703977305707213133983806924318837566512485293491065445369554543438734392176788539310550046054164961767858357566348233896973611003632548404277138648331285570945822192043032638364157349784929072084966162149585815632740261278278614270914345347900992043895396426963860492203612222203467462183339842120743659352524126709753271214228620730418240881724135332871251218430285612168523931400435603721378005675156883634041922565866480678540476682815807751654009345175336280767881610433741258528932044913621918633989813113605512671704580144351848291499529239906267361168072882449107900406669008117549100922760873086130926463221369365401113164940312064125437026882397590082195640318180937375472968997804232393700346277882020363880065694532825256491682075753717162073828455065404598571286592623366097950222630220262016323367128742572527370203901686837452108235835003336001042579530590051393027836468165057414468550070242618039064166921794226687385596400856145227273075398037700719016927759756169957029516490317034329691367338466751526752638105765563524898775316394786346265913457269924767893234156929354672745851141493749302388817433763811348747431943824539921278794123943575808827745799979333831012886478689071145705520749922876557255090229976102018542687288353013051657267571267602937086296544725412921992158417590613429029423461865722996657139855643831253036682458406521822927808625443648508236332475498853091241469928253857200691680882910508945628703090866460270916061924710012214155498107316070716660447939672677302681069982925489194978213605105170670007908341559888959296568274389982141196081365244748444595997338146861950062853162856427061797913241583663879396}
23615 187311791783042876214558036742775563853034825396209830826638615681118661769710: {188872,212481,826105,920361,991326,1180150,1297945,1344801,1416180,1510592,1557534,1699416,1911843,2005405,2193033,2312702,2406486,2854753,3303860,3419245,3964632,4103094,4293926,4460211,4719800,5066905,5155041,5309775,5537305,5663760,5965993,6041344,6080286,6134180,6242605,6371730,6644766,6763729,6796512,6814909,7182445,7264281,7266644,7361016,7491126,7646076,7751569,8281143,8356345,8591005,8618934,9294745,9591769,9662470,9725737,9788241,10027614,10309206,10380920,10626913,11073670,11144353,11153694,11594964,11649014,11678535,11697889,11872045,12178969,12419809,12457104,12558013,12723033,12985417,13275805,13288404,13893910,14014242,14184926,14246454,14819869,15186164,15716521,15930966,16079005,16225261,16419229,16672692,16711270,16798993,16897233,17340855,17346769,17711545,18496912,18895393,19109305,19294806,19713716,19811437,20053524,20264180,20643875,20809026,20845604,20970745,21029257,21252022,21253854,21694520,21719113,22079582,22597405,22667606,22931166,23237062,23289961,23609617,24317016,24406335,24407869,24415412,24467737,24685945,24772650,24933886,25164894,25268077,26033424,26336726,26384977,26424160,26801809,27050324,27116886,27356643,27458134,27655969,27757214,27928345,28159645,28367444,28470081,28694041,29287602,29491250,29623134,29727180,30518841,31001012,31308529,31430374,31542260,31624345,31708992,31925222,32083657,32316205,33007705,33013993,33121142,33514014,33791574,33824593,34293409,34879160,34953910,35277176,35389500,35569117,35672616,35705629,35856422,36459805,36755422,36919405,37332854,37444233,37631302,37748800,37850712,37949214,37990004,38360564,38526745,38643320,38661433,38779446,39096337,39239055,39469233,39609246,39686823,40131693,40344349,40492969,40524920,40920409,41038249,41485153,41488833,41735545,41854992,41944692,42467400,42582051,42698001,43473735,43751766,43947337,44155412,44287160,44303286,44413414,44479705,44569844,44589193,44726470,44878681,45298560,45331364,45590535,45607460,45884209,46232094,46371984,46534045,47044095,47086866,47215222,47446045,47515233,47775825,48097364,48318464,48629904,48812845,49670804,49823055,50082654,50180368,50223524,50717569,50960880,51223460,51314905,51505833,51682729,51932852,52168482,53144592,53375646,53671764,54038905,54096056,54358272,54708642,54728952,55398745,55433617,55509716,55840854,55851910,56004875,56452914,56661321,56935254,57330990,57383206,58575414,58626070,58928919,59269412,59777835,59787666,59899873,60188449,60372505,60645757,60858063,61063777,61153056,61468152,61570071,61577886,62754974,62781910,62924966,63077305,63079160,63178676,63763024,63863134,64161862,64202605,64290776,64449782,64846686,65190457,65548870,65551645,65776345,66036781,66378457,66478494,66520609,67022292,67184564,67205850,67252233,68013337,68245405,68710520,68797188,68917945,69151671,69555673,69814105,69893432,70153475,70351284,70360041,70397012,70784701,70813743,70933405,70964055,71077369,71078072,71686240,71733402,71908761,72054109,72217652,72295401,72327123,72334294,72447006,72450075,72453670,72598273,72788737,73832470,74285305,74659364,75131353,75338292,75692766,75694992,76149921,76714616,76921021,76958132,77043126,77183005,77280080,77299335,77507846,78409489,78630111,78658644,78661974,78673969,78835233,78931614,79111222,79158817,79453129,79641217,79685353,79796041,79962831,80190913,80647020,81184045,81595501,81793057,81894486,81982004,82301737,82390232,82452624,82653033,82701534,83776926,83844205,84184170,84198289,84302075,84508345,84993656,85120086,85156866,85191613,85835545,86023488,86098964,86303943,86399497,86498605,86609942,86940090,86944404,87582457,88339233,88598964,89142366,89796448,90188689,90283633,90522356,90975517,91542255,91764337,92619606,92689011,92736096,92759202,92932472,93559256,93607275,93768505,94165513,94207705,94514857,94593289,94724841,94815092,95617863,95693629,96591081,96776424,96963681,97161910,97201693,97420854,97645072,97715545,98451921,98823441,99333176,99579409,99718616,99847760,99865535,...,527747146922311223412654083348133252995763812212292614476650387286502850001508157365622842740840545869855754224632261748417165052167862327755454695619025055455212172468517277327948091819585154540393491404505259042048670143096543691827131605321112211357703323311290586516757803422879059665193632802642186541863552868330692973850347422804005778033047062737065966941489323376504781093203789917446140342994657417361717710576545649056381799268530841065430264090284434262375119118810893997137943531427395385124595682913007204610903999873304511907098847529258105837565457430649629320205752565732857430467263815930097885997007569476015086224591419090515686930031325924113822226158178335296184098130485575924181225447996443834736684029283049701564699648150859385035657193177003462675232378803244296875714558868653995588622981274531907615460835771492964957852241331697736064168014361884146446410512131744655186001819528766212229687166164067263133180994654692817930643301357741808187281143022438565270056053695211300930181613599653167782740285169215030769005744860811538073186576405004500752912080564995631873243742926763860351173596611189259450218401776431170795274989696917327375120114897354719471160893884307039716874011761646065629930625563182996335575856833967287996439039514566038234913227348026550879655344047134630845819281126944909151186010276751702756996086982812347416759789514670528434021995981068302706966567773637870878557735267494083248745191413526862227892621906982185080557012400598299130794051049060974582497364919962529172849369386692039574486653632327346119171843823898501350480704477402938440560316677523868793279569517036712641387157931476719474765415701195492069123650602012271656608207042310794244534172792501618420288101865959748772307743291354600227323152282964896919425901154386370515452867954961498391717110413268378859467465212094911456968643515845939588265848900023868094919808340154083144342453216080802736930758360851930796958265619232233526182506817546428891235019154961018331434198492555012635296995663319569703906716619180314911772806489878121905109374808732990933825343737034367055965958560819700975710386478256349768727940236598168054331815158101588265182808965825069081247442651787536349522350845460416505448822606415707972496928356418733288064548957546236024677393608127449243224378723449110391917417921406371518021851488065843094640445790738305418333305201193275009763181115489028786190064629906821342931095627361322586202999306876827645428418252785897100653405582067008512735325451062883848799721017810715024223711627481014017763004421151822415650611887793398067370432877950984719670408269007556870216527772437249293859859401041752109323673661850610003512176323651384141309629196389694832054048101669747410468096188155540323596385123293460477271406063209453496706348590550519416823030545820098541799237884737523113630575743110742682598106897856929888935049146925333945330393024485050693113858791055305852530256178162353752505004001563869295885077089541754702247586121702825105363927058596250382691340031078394601284217840909613097056551078525391639634254935544274735475551494537051007700127290128957158648345287348162974592179519398870185904887151839851235394032009118776712240623953583226150645717023121147915736809881918191185915363713241618699969000746519329718033606718558281124884314835882635344964153027814030932529519577485901356901404405629444817088119382988237626385920143544135192798584494985709783465746879555023687609782734391712938165472762354498713248279636862204892380785801037521324365763418443054636299690406374092887065018321233247160974106074990671909509015954021604974388233792467320407657756005011862512339833438944852411584973211794122047867122666893996007220292925094279744284640592696869862375495819094}
23616 187974994338770316564193107212498985440663943600227357847140094625480296761255: {165263,236090,283308,306839,401183,519266,542639,1227148,1248839,1321768,1389863,1486989,1577783,1770225,1793068,1859423,1888240,2076712,2124270,2215298,2265888,2336301,2497466,2515463,2549124,2924044,3208648,3469053,3609729,3683063,3906146,4129825,4659983,4955790,5286176,5470792,5899750,5946948,6154641,6440889,6464903,6603239,6873388,7079700,7551680,7667725,7831298,7845023,8074343,8107048,8495640,8859688,9035303,9062016,9083305,9120429,9201270,9226298,9557595,9685708,9719543,9814688,9967149,9988168,10194768,10265639,10401983,10583663,10899966,11041524,11236689,11469114,11491912,11535383,12005498,12843863,12928401,12976150,12978839,13050988,13113146,13293503,13370152,13518023,13666106,13745608,13787183,14100839,14493705,14770298,14771639,14871592,14994839,15041421,15440639,15459952,15463809,15571380,16184798,16241063,16609472,16610505,16730541,16906103,16964044,17304263,17392446,17473521,17717872,18450863,18685656,18890423,18982705,18995272,19109903,19932606,19942103,20597063,20840865,20858543,21021363,21241288,21250223,21277389,21369681,21467543,22118303,22230256,22529644,22551143,22779246,23121140,23672783,23896449,24642145,25009038,25066905,25330225,25685498,25726408,26057005,26112839,26738032,27033698,27118150,27302906,27745368,27936383,28338472,28942209,29451386,29570574,29987066,30080286,30396270,30519265,30574888,30867529,31056698,31213539,31268406,31580639,31663703,31878033,31880781,32327063,32422688,32541780,32823239,32905823,33029639,33030200,33119373,33553192,33647639,33812905,33986306,34001409,34058639,34181783,34263839,34396749,34711232,34782266,34796423,34855593,35459305,35490839,35613143,36155848,36370298,36475524,36623118,37092913,37158975,37400829,37689698,37721639,37747341,37960108,38325839,38751265,38807903,39050136,39268226,39427825,39497512,39505089,39636240,40317698,40575486,40675329,40691788,40804103,40843823,41042303,41187201,41635821,41913239,42278656,42551166,43212383,43290839,43565183,43598950,43760903,43800023,43907822,43931403,43972706,43995503,44096470,44232698,44236875,44268839,44434701,44590770,44685352,44931023,45055432,45164183,45435839,45745823,46501518,47145561,47186000,47313390,47334049,47487505,47563488,47824823,47863103,47887833,47950705,48304150,48436343,48893639,48969743,49653239,49659266,49681713,49766903,49918343,49925644,50271021,50467616,50598952,50656150,50687361,50711303,51350639,51613223,51705928,51800543,52025063,52174583,52286639,52318740,52361303,52430865,52625644,52812328,52915764,52986746,53084250,53508924,53699783,53784633,53847863,54512639,54514298,54768386,55133133,55194265,55248239,55318444,55358950,55688063,55712305,55792646,55806656,55926256,55999281,56053703,56236223,56254429,56446953,56623200,56664205,56709839,56776068,56818943,56923821,56930668,56985006,57000623,57009325,57540846,57689183,57964980,58169169,58310498,58335688,59057639,59071048,59308463,59413869,60022943,60121705,60236663,60398080,60787380,60823298,61017839,61156753,61642792,61829312,62088505,62193313,62252639,62725460,62772622,62779405,62782488,62917038,63023783,63303239,63353644,63701100,63756263,64029325,64242623,64839872,64916065,65486063,65557946,65623583,65627649,66233118,66309263,66343463,66430740,66454929,66620121,66776872,66854766,67089705,67125289,67289186,67365743,67535423,67620070,67840343,67947840,67997046,68411190,68674444,69288239,69348141,69387145,69557976,69750146,69856583,69889943,70389383,70485626,70630299,70822833,70853903,70859456,71167528,71562352,71942639,71952698,72091453,72146046,72434639,72477696,72663623,72761639,72944856,72971936,73640543,74086765,74126303,74369449,74454472,74506206,75123981,75252743,75270552,75335286,75348839,75355706,75548428,75668639,75839546,75913672,76146839,76305839,76441320,76528103,76718303,76835190,77003063,77160983,77192543,77350223,77899278,78100552,78252723,78571892,78573263,78666839,78760343,78848950,78970466,78973345,79350863,79598639,79703780,79716888,80063469,80363470,80407298,80431103,80507646,80523239,80615303,80829839,80921663,81144084,81315913,81537408,81600698,81864349,81957536,81987623,82062963,82093428,82103848,82199639,82552826,82803239,83013743,83028026,83264574,83463503,83739746,83761281,83777865,83792183,83911463,83980705,84505943,84679371,84683663,85402881,85439438,85888150,85996485,86074809,86338298,86462248,86573666,86706743,86916529,87253789,87366790,87513698,87516839,87863121,87939105,87996265,88005623,88091639,88292063,88384813,88637992,88847590,88904118,88947839,89363056,89607800,89669644,89681499,90272065,90498839,90785666,90874777,91604929,91729584,91749839,92202228,92218223,92366829,93066383,93324205,93392639,93584557,93801712,93813388,94122503,94132461,94172865,94387449,94418183,94418324,94490498,94605839,94618740,94720826,94768014,95617703,95640698,95644536,95794701,95878348,95893270,96197665,96242793,96250823,96393868,96436164,96596008,96600100,96674673,96787298,97016186,97113839,97191863,97270029,97684343,97715761,97930298,98199623,98276639,98323305,98353583,98583983,98957833,99269198,99423239,99717741,99877343,99977903,...,791620720383466835118981125022199879493645718318438921714975580929754275002262236048434264111260818804783631336948392622625747578251793491633182043428537583182818258702775915991922137729377731810590237106757888563073005214644815537740697407981668317036554984966935879775136705134318589497790449203963279812795329302496039460775521134206008667049570594105598950412233985064757171639805684876169210514491986126042576565864818473584572698902796261598145396135426651393562678678216340995706915297141093077686893524369510806916355999809956767860648271293887158756348186145974443980308628848599286145700895723895146828995511354214022629336887128635773530395046988886170733339237267502944276147195728363886271838171994665752105026043924574552347049472226289077553485789765505194012848568204866445313571838302980993382934471911797861423191253657239447436778361997546604096252021542826219669615768197616982779002729293149318344530749246100894699771491982039226895964952036612712280921714533657847905084080542816951395272420399479751674110427753822546153508617291217307109779864607506751129368120847493447809865614390145790526760394916783889175327602664646756192912484545375991062680172346032079206741340826460559575311017642469098444895938344774494503363785250950931994658559271849057352369841022039826319483016070701946268728921690417363726779015415127554135494130474218521125139684272005792651032993971602454060449851660456806317836602901241124873117787120290293341838932860473277620835518600897448696191076573591461873746047379943793759274054080038059361729980448491019178757765735847752025721056716104407660840475016285803189919354275555068962080736897215079212148123551793238103685475903018407484912310563466191366801259188752427630432152798939623158461614937031900340984728424447345379138851731579555773179301932442247587575665619902568289201197818142367185452965273768909382398773350035802142379712510231124716513679824121204105396137541277896195437398428848350289273760226319643336852528732441527497151297738832518952945493494979354555860074928770472367659209734817182857664062213099486400738015605551550583948937841229551463565579717384524653091910354897252081497722737152382397774213448737603621871163977681304524283526268190624758173233909623561958745392534628099932096823436319354037016090412191173864836568085173665587876126882109557277032777232098764641960668686107458127499957801789912514644771673233543179285096944860232014396643441041983879304498960315241468142627379178845650980108373100512769102988176594325773199581526716072536335567441221521026644506631727733623475917831690097101055649316926477079505612403511335305324791658655873940789789101562628163985510492775915005268264485477076211964443794584542248081072152504621115702144282233310485394577684940190715907109094814180245059522885825779125234545818730147812698856827106284670445863614666114023897160346785394833402573720388000917995589536727576039670788186582958778795384267243530628757506002345803943827615634312632053371379182554237658045890587894375574037010046617591901926326761364419645584826617788087459451382403316412103213327241805576511550190935193435737972517931022244461888269279098305278857330727759776853091048013678165068360935930374839225968575534681721873605214822877286778873045569862428049953501119778994577050410077837421687326472253823953017446229541721046398794279366228852035352106608444167225632179074482356439578880215316202789197876742478564675198620319332535531414674101587569407248209143531748069872419455293307338571178701556281986548645127664581954449535609561139330597527481849870741461159112486007864263523931032407461582350688700980611486634007517793768509750158417278617377459817691183071800684000340994010830439387641419616426960889045304793563243728641}
23617 188640529763265247755094650263299448091864320206600642986863922934408015912086: {354135,377744,424962,778899,1156547,1533935,1652210,1817123,1840722,1982652,2241335,2360300,2595890,2689602,2807567,2832360,3021184,3115068,3186405,3322947,3373799,3398832,3655055,3746199,3823686,4010810,4386066,4625404,4786943,4812972,5709506,5859219,6607720,6838490,7050719,7093667,7433685,7616663,7752227,7929264,8206188,8587852,8591735,8739647,8849625,8920422,9439600,10055423,10133810,10310082,10619550,11074610,11145299,11327520,11335727,11698883,11746947,11931986,12027407,12082688,12107135,12160572,12268360,12485210,12559079,12743460,13012643,13170599,13289532,13527458,13593024,13629818,13801905,13839447,13880963,14364890,14393327,14528562,14533288,14722032,14821127,14982252,15292152,15503138,16313735,16349949,16562286,16563383,16620863,16712690,16800419,17182010,17203671,17220167,17237868,17348243,18008247,18350903,18586127,18589490,19183538,19324940,19451474,19464225,19576482,19669719,20047007,20055228,20499159,20500727,20618412,20761840,21177743,21205055,21253826,22147340,22155447,22288706,22307388,22330919,22510607,23189928,23298028,23357070,23395778,23744090,24277197,24357938,24409943,24796163,24839618,24914208,25084103,25116026,25446066,25970834,26088669,26387219,26551610,26576808,26753027,27010703,27279383,27787820,28028484,28162055,28172903,28369852,28492908,28901425,29359043,29639738,29898909,29954963,30372328,31433042,31636367,31861932,32158010,32450522,32684327,32838458,33345384,33422540,33597986,33794466,34168869,34296323,34560323,34681710,34693538,35423090,35708663,36993824,37447367,37513557,37790786,38218610,38528247,38589612,39099683,39423503,39427432,39622874,39753719,39974519,40107048,40528360,40550547,40677225,40954359,41143247,41287750,41618052,41691208,41941490,42058514,42504044,42507708,43389040,43438226,43508819,44159164,44177079,44274083,44355861,44980599,45090743,45120429,45194810,45242687,45335212,45594405,45862332,46210787,46474124,46579922,46585047,46902609,47219234,47450135,47855327,48634032,48812670,48815738,48830824,48935474,49371890,49545300,49867772,50329788,50536154,50678207,50864735,50979459,51043727,51687167,52066848,52173399,52421807,52673452,52696319,52769954,52848320,53603618,53859119,53937443,54100648,54233772,54555447,54713286,54916268,54934677,55311938,55514428,55856690,56319290,56534547,56734888,56940162,57388082,58429763,58575204,58902339,58982500,59246268,59454360,60476547,60863229,61037682,61758143,61955219,62002024,62271587,62407055,62617058,62860748,63084520,63248690,63417984,63826749,63850444,64167314,64579223,64632410,64828223,65147663,65398425,65782055,65861733,65959059,66015410,66027986,66144705,66242284,66349047,66424463,66886155,67028028,67269443,67400303,67583148,67649186,68337983,68586818,69148055,69752277,69758320,69907820,70554352,70779000,70790759,70970085,71138234,71163335,71345232,71411258,71712844,71840867,72159287,72456225,72919610,73510844,73838810,74346563,74488899,74665708,74888466,75262604,75497600,75654467,75701424,75898428,75980008,75984225,76106783,76721128,77053490,77286640,77322866,77558243,77558892,78192674,78406825,78478110,78938466,79192055,79218492,79373646,79480119,79626375,80197799,80263386,80531063,80618207,80688698,80985938,81049840,81771447,81840818,82076498,82152579,82202159,82225919,82970306,82977666,83038425,83437847,83471090,83688969,83709984,83889384,84000527,84521507,84565703,84934800,85164102,85396002,85477509,85797959,85843055,86258183,86311269,86947470,87465747,87503532,87842819,87894674,88308227,88310824,88471619,88574320,88606572,88791599,88826828,88959410,89139688,89178386,89452940,89757362,89883647,90597120,90662728,90983303,91181070,91214920,91234947,91768418,91772303,92086883,92358083,92464188,92743968,92929607,92978327,93068090,94088190,94158933,94173599,94173732,94375557,94430444,94435535,94771079,94892090,95030466,95543567,95551650,96194728,96485123,96636928,96833363,97259808,97625690,97739747,98214865,98336919,99126479,99306767,99341608,99349677,99629725,99646110,...,1055494293844622446825308166696266505991527624424585228953300774573005700003016314731245685481681091739711508449264523496834330104335724655510909391238050110910424344937034554655896183639170309080786982809010518084097340286193087383654263210642224422715406646622581173033515606845758119330387265605284373083727105736661385947700694845608011556066094125474131933882978646753009562186407579834892280685989314834723435421153091298112763598537061682130860528180568868524750238237621787994275887062854790770249191365826014409221807999746609023814197695058516211675130914861299258640411505131465714860934527631860195771994015138952030172449182838181031373860062651848227644452316356670592368196260971151848362450895992887669473368058566099403129399296301718770071314386354006925350464757606488593751429117737307991177245962549063815230921671542985929915704482663395472128336028723768292892821024263489310372003639057532424459374332328134526266361989309385635861286602715483616374562286044877130540112107390422601860363227199306335565480570338430061538011489721623076146373152810009001505824161129991263746487485853527720702347193222378518900436803552862341590549979393834654750240229794709438942321787768614079433748023523292131259861251126365992671151713667934575992878079029132076469826454696053101759310688094269261691638562253889818302372020553503405513992173965624694833519579029341056868043991962136605413933135547275741757115470534988166497490382827053724455785243813964370161114024801196598261588102098121949164994729839925058345698738773384079148973307264654692238343687647797002700961408954805876881120633355047737586559139034073425282774315862953438949530831402390984138247301204024543313216414084621588489068345585003236840576203731919497544615486582709200454646304565929793838851802308772741030905735909922996783434220826536757718934930424189822913937287031691879176531697800047736189839616680308166288684906432161605473861516721703861593916531238464467052365013635092857782470038309922036662868396985110025270593991326639139407813433238360629823545612979756243810218749617465981867650687474068734111931917121639401951420772956512699537455880473196336108663630316203176530365617931650138162494885303575072699044701690920833010897645212831415944993856712837466576129097915092472049354787216254898486448757446898220783834835842812743036043702976131686189280891581476610836666610402386550019526362230978057572380129259813642685862191254722645172405998613753655290856836505571794201306811164134017025470650902125767697599442035621430048447423254962028035526008842303644831301223775586796134740865755901969439340816538015113740433055544874498587719718802083504218647347323701220007024352647302768282619258392779389664108096203339494820936192376311080647192770246586920954542812126418906993412697181101038833646061091640197083598475769475046227261151486221485365196213795713859777870098293850667890660786048970101386227717582110611705060512356324707505010008003127738591770154179083509404495172243405650210727854117192500765382680062156789202568435681819226194113102157050783279268509871088549470951102989074102015400254580257914317296690574696325949184359038797740371809774303679702470788064018237553424481247907166452301291434046242295831473619763836382371830727426483237399938001493038659436067213437116562249768629671765270689928306055628061865059039154971802713802808811258889634176238765976475252771840287088270385597168989971419566931493759110047375219565468783425876330945524708997426496559273724409784761571602075042648731526836886109272599380812748185774130036642466494321948212149981343819018031908043209948776467584934640815315512010023725024679666877889704823169946423588244095734245333787992014440585850188559488569281185393739724750991638188}
23618 189308406209104646814240199498244192087275433704289610943252784756420094235652: {330526,448381,472180,566616,613678,637443,802366,872497,1038532,1085278,1436977,1859581,2454296,2478315,2497678,2562481,2643536,2761083,2779726,2950375,2973978,3155566,3540450,3586136,3718846,3776480,3893835,4034403,4153424,4248540,4430596,4531776,4672602,4994932,5030926,5098248,5735529,5781755,5848088,6016215,6417296,6579099,6938106,7156477,7219458,7366126,7812292,8120881,8259650,8533117,8564259,9319966,9492481,9765937,9911580,10257735,10572352,10734815,10941584,11264797,11799500,11893896,12309282,12619837,12716627,12881778,12929806,13206478,13294657,13380633,13746776,13833217,13967677,14159400,15103360,15200715,15335450,15465123,15662596,15690046,15929325,16148686,16214096,16611915,16991280,17305777,17719376,17897979,18070606,18124032,18166610,18240858,18402540,18452596,18496477,18727815,19115190,19371416,19439086,19629376,19934298,19943857,19976336,20291187,20389536,20444727,20531278,20803966,20860381,21167326,21547335,21792843,21799932,21903517,22083048,22473378,22553137,22938228,22983824,23070766,23254707,23717917,24010996,24104881,24156175,24491197,24843429,25069035,25133617,25687726,25773015,25856802,25952300,25957678,26101976,26226292,26285437,26575787,26587006,26740304,27036046,27332212,27491216,27574366,27684175,27685297,27884235,27938881,28201678,28775307,28987410,29122535,29177211,29364723,29540596,29543278,29580157,29743184,29989678,30082842,30881278,30919904,30927618,31142760,31708081,31880739,32081437,32329981,32369596,32482126,32578237,32950081,33218944,33221010,33433059,33461082,33812206,33928088,34499003,34553917,34608526,34734775,34784892,34799581,34947042,35035605,35093667,35435744,35462315,35616135,35657137,35779357,36389377,36479807,36536907,36901726,37259427,37371312,37674039,37780846,37965410,37990544,38169099,38208637,38219806,38449981,38811457,38956251,39292417,39827415,39865212,39884206,39891997,40489777,40609117,40847581,41194126,41681730,41717086,41778175,42042726,42482576,42500446,42554778,42726971,42739362,42935086,43569217,43804081,43837079,44236606,44459607,44460512,44974081,45059288,45102286,45558492,45788797,45904897,46242280,47149563,47338067,47345566,47522737,47792898,47867581,48237015,48675783,49257687,49284290,49643027,49809457,50018076,50133810,50376637,50396979,50660450,50691699,51370996,51452816,52022565,52040307,52114010,52225678,53130055,53134635,53476064,53741917,53852977,54067396,54236300,54251771,54605812,54959617,55198955,55490736,55729981,55872766,55949437,56278081,56669015,56676944,56686179,56824381,57042397,57327915,57884418,58092655,58902772,59141148,59434311,59850397,59974132,60160572,60792540,61038530,61149776,61735058,61931625,62113396,62188381,62334715,62427078,62536812,62912235,63029917,63087771,63161278,63327406,63756066,63761562,63762481,64654126,64845376,65083560,65113597,65157339,65646478,65811646,65836081,65841815,66059278,66060400,66238746,66349981,66482507,66555037,67106384,67130987,67295278,67575997,67625810,67792215,67972612,68002818,68117278,68363566,68527678,68645335,68793498,69393035,69422464,69564532,69592846,69696577,69711186,69869883,69896881,70595677,70695217,70828851,70894081,70918610,70981678,71191837,71226286,71587837,72179677,72311696,72740596,72951048,73219005,73223607,73246236,73403211,73550557,73728125,74057835,74133757,74185826,74317950,74801658,75379396,75443278,75494682,75804231,75920216,76651678,77200381,77271971,77389597,77502530,77615806,77997227,78100272,78536452,78575935,78799537,78855650,78995024,79010178,79154931,79272480,79329887,79813055,80193277,80405427,80470081,80635396,81150972,81205057,81350658,81383576,81570817,81608206,81687646,82026397,82069929,82084606,82374402,82696603,82802855,82967907,83271642,83785035,83826478,84170387,84478935,84557312,85102332,85410243,86082123,86424766,86581678,86744881,86923907,87005917,87130366,87197900,87384775,87521806,87600046,87815644,87862806,87891167,87945412,87991006,88043581,88192940,88465396,88473750,88537678,88869402,89181540,89370704,89641055,89749981,89862046,90110864,90328366,90759997,90871678,90882491,91177777,91491646,91556523,91888555,92502577,93003036,93332135,93925587,94078255,94132657,94291122,94372000,94455217,94626780,94668098,94873035,94975010,95126976,95336317,95495581,95649646,95726206,95775666,95901410,96250971,96608300,96872686,96948615,97142003,97787278,97939486,98466877,98620381,98850097,99002881,99023115,99041979,99306478,99318532,99363426,99533806,99836686,99851288,99913537,...,1583241440766933670237962250044399758987291436636877843429951161859508550004524472096868528222521637609567262673896785245251495156503586983266364086857075166365636517405551831983844275458755463621180474213515777126146010429289631075481394815963336634073109969933871759550273410268637178995580898407926559625590658604992078921551042268412017334099141188211197900824467970129514343279611369752338421028983972252085153131729636947169145397805592523196290792270853302787125357356432681991413830594282186155373787048739021613832711999619913535721296542587774317512696372291948887960617257697198572291401791447790293657991022708428045258673774257271547060790093977772341466678474535005888552294391456727772543676343989331504210052087849149104694098944452578155106971579531010388025697136409732890627143676605961986765868943823595722846382507314478894873556723995093208192504043085652439339231536395233965558005458586298636689061498492201789399542983964078453791929904073225424561843429067315695810168161085633902790544840798959503348220855507645092307017234582434614219559729215013502258736241694986895619731228780291581053520789833567778350655205329293512385824969090751982125360344692064158413482681652921119150622035284938196889791876689548989006727570501901863989317118543698114704739682044079652638966032141403892537457843380834727453558030830255108270988260948437042250279368544011585302065987943204908120899703320913612635673205802482249746235574240580586683677865720946555241671037201794897392382153147182923747492094759887587518548108160076118723459960896982038357515531471695504051442113432208815321680950032571606379838708551110137924161473794430158424296247103586476207370951806036814969824621126932382733602518377504855260864305597879246316923229874063800681969456848894690758277703463159111546358603864884495175151331239805136578402395636284734370905930547537818764797546700071604284759425020462249433027359648242408210792275082555792390874796857696700578547520452639286673705057464883054994302595477665037905890986989958709111720149857540944735318419469634365715328124426198972801476031211103101167897875682459102927131159434769049306183820709794504162995445474304764795548426897475207243742327955362609048567052536381249516346467819247123917490785069256199864193646872638708074032180824382347729673136170347331175752253764219114554065554464197529283921337372214916254999915603579825029289543346467086358570193889720464028793286882083967758608997920630482936285254758357691301960216746201025538205976353188651546399163053432145072671134882443042053289013263455467246951835663380194202111298633852954159011224807022670610649583317311747881579578203125256327971020985551830010536528970954152423928887589169084496162144305009242231404288564466620970789155369880381431814218189628360490119045771651558250469091637460295625397713654212569340891727229332228047794320693570789666805147440776001835991179073455152079341576373165917557590768534487061257515012004691607887655231268625264106742758365108475316091781175788751148074020093235183803852653522728839291169653235576174918902764806632824206426654483611153023100381870386871475945035862044488923776538558196610557714661455519553706182096027356330136721871860749678451937151069363443747210429645754573557746091139724856099907002239557989154100820155674843374652944507647906034892459083442092797588558732457704070704213216888334451264358148964712879157760430632405578395753484957129350397240638665071062829348203175138814496418287063496139744838910586614677142357403112563973097290255329163908899071219122278661195054963699741482922318224972015728527047862064814923164701377401961222973268015035587537019500316834557234754919635382366143601368000681988021660878775282839232853921778090609587126487457282}
23619 189978631857170123622874902601920510425302438246165729568908366787210099529339: {495789,590225,708270,755488,849924,920517,1203549,1298165,1557798,1627917,2147509,2313094,3067870,3137869,3304420,3634246,3681444,3746517,3965304,3987217,4169589,4460967,4482670,4720600,4733349,5117077,5191780,5310675,5379204,5538245,5578269,5615134,5664720,6042368,6230136,6243665,6372810,6645894,6747598,6797664,7008903,7310110,7492398,7546389,7647372,8021620,8512741,8772132,9250808,9573886,9625944,9765365,10407159,10628717,10829187,11049189,11419012,11718438,12028429,12181037,12389475,13171717,13215440,13676980,13979949,14101438,14187334,14749375,14867370,15233326,15283301,15504454,15719189,15858528,16412376,16422017,16564789,16949989,17175704,17183470,17479294,17699250,17840844,18382397,18463923,18879200,19246069,19322667,19394709,19578245,19809717,19814801,20110846,20267620,20502469,20620164,21217649,21239100,22149220,22290598,22638277,22655040,22671454,22839229,23003175,23065745,23397766,23493894,23535069,23863972,24054814,24165376,24214270,24223029,24321144,24536720,24970420,25118158,25456469,25486920,26025286,26341198,26579064,27054916,27105909,27186048,27249915,27259636,27281701,27361287,27603810,27678894,27761926,27999761,28401917,28672785,28729780,28786654,29057124,29066576,29158629,29444064,29642254,29644849,29687077,29901447,29964504,30013745,30584304,30796917,31006276,31205949,31750989,31939709,32440375,32627470,32699898,32782865,33124572,33126766,33241726,33295249,33425380,33600838,33710067,34165265,34364020,34407342,34440334,34475736,34606149,34696486,36016494,36176369,36701806,36925745,37172254,37178980,37450549,38367076,38449301,38531589,38649880,38785203,38902948,38928450,38936517,39152964,39339438,39426877,39565697,39880509,40094014,40110456,40261541,40461995,40554069,40998318,41001454,41236824,41361549,41523680,42302517,42355486,42410110,42507652,43481115,44294680,44310894,44314917,44577412,44614776,44661838,44984517,45021214,45124263,45344237,45983629,46321917,46379856,46391427,46596056,46714140,46791556,47488180,48554394,48715876,48723189,48819886,49199117,49592326,49679236,49828416,49831515,50168206,50191623,50232052,50718309,50892132,51912789,51941668,52177338,52420563,52774438,53103220,53153616,53506054,54021406,54558766,55352589,55575640,56056968,56324110,56345806,56640349,56671269,56739704,56948115,56985816,57329709,57573541,57802850,58718086,59279476,59797818,59826309,59909926,60744656,61437101,61791189,62522595,62575629,62866084,63064089,63272734,63497809,63723864,63750669,63832167,64109043,64213745,64316020,64402629,64488677,64901044,65368654,65676916,66354909,66430189,66690768,66845080,67195972,67584245,67588932,67653429,67729429,67795375,68257265,68337738,68592646,69060101,69120646,69363420,69387076,70846180,71018349,71210629,71417326,71689347,72103757,73628465,73919309,73926435,73987648,74894734,74967665,75027114,75200715,75581572,75990675,76437220,77056494,77179224,77641745,78171015,78199366,78338517,78847006,78854864,79245748,79507438,79699037,79819309,79949038,80214096,80352869,81056720,81101094,81215717,81354450,81908718,82286494,82575500,83236104,83382416,83809149,83882980,84117028,84965765,85008088,85015416,86778080,86826627,86876452,86955665,87017638,87369877,87432337,88318328,88354158,88548166,88711722,89120741,89961198,90181486,90240858,90389620,90485374,90670424,90925745,91188810,91557795,91724664,92094877,92421574,92564609,92602587,92948248,93159844,93170094,93640617,93805218,94224245,94438468,94666609,94741917,94779217,94900270,94991109,95634099,95642343,95710654,96407789,96807277,96981189,97268064,97625340,97631476,97661648,97870948,98170565,98469717,98717469,98743780,99088917,99090600,99358119,99628669,99735544,...,2374862161150400505356943375066599638480937154955316765144926742789262825006786708145302792333782456414350894010845177867877242734755380474899546130285612749548454776108327747975766413188133195431770711320273665689219015643934446613222092223945004951109664954900807639325410115402955768493371347611889839438385987907488118382326563402618026001148711782316796851236701955194271514919417054628507631543475958378127729697594455420753718096708388784794436188406279954180688036034649022987120745891423279233060680573108532420749067999429870303581944813881661476269044558437923331940925886545797858437102687171685440486986534062642067888010661385907320591185140966658512200017711802508832828441587185091658815514515983997256315078131773723657041148416678867232660457369296515582038545704614599335940715514908942980148803415735393584269573760971718342310335085992639812288756064628478659008847304592850948337008187879447955033592247738302684099314475946117680687894856109838136842765143600973543715252241628450854185817261198439255022331283261467638460525851873651921329339593822520253388104362542480343429596843170437371580281184750351667525982807993940268578737453636127973188040517038096237620224022479381678725933052927407295334687815034323483510091355752852795983975677815547172057109523066119478958449048212105838806186765071252091180337046245382662406482391422655563375419052816017377953098981914807362181349554981370418953509808703723374619353361360870880025516798581419832862506555802692346088573229720774385621238142139831381277822162240114178085189941345473057536273297207543256077163170148313222982521425048857409569758062826665206886242210691645237636444370655379714311056427709055222454736931690398574100403777566257282891296458396818869475384844811095701022954185273342036137416555194738667319537905797326742762726996859707704867603593454427101556358895821306728147196320050107406427139137530693374149541039472363612316188412623833688586312195286545050867821280678958930010557586197324582491453893216497556858836480484938063667580224786311417102977629204451548572992186639298459202214046816654651751846813523688654390696739152153573959275731064691756244493168211457147193322640346212810865613491933043913572850578804571874274519701728870685876236177603884299796290470308958062111048271236573521594509704255520996763628380646328671831098331696296293925882006058322374382499873405369737543934315019700629537855290834580696043189930323125951637913496880945724404427882137536536952940325119301538307308964529782977319598744580148217609006702323664563079933519895183200870427753495070291303166947950779431238516837210534005915974374975967621822369367304687884491956531478327745015804793456431228635893331383753626744243216457513863347106432846699931456183733054820572147721327284442540735178568657477337375703637456190443438096570481318854011337590843998342071691481040356184500207721161164002753986768610182728119012364559748876336386152801730591886272518007037411831482846902937896160114137547662712974137671763683126722111030139852775705778980284093258936754479853364262378354147209949236309639981725416729534650572805580307213917553793066733385664807837294915836571992183279330559273144041034495205082807791124517677905726604045165620815644468631860336619136709587284149860503359336983731151230233512265061979416761471859052338688625163139196382838098686556106056319825332501676896537223447069318736640645948608367593630227435694025595860957997606594244022304762708221744627430595244209617258365879922015713536104668845959645935382993745863348606828683417991792582445549612224383477337458023592790571793097222384747052066102941834459902022553381305529250475251835852132379453073549215402052001022982032491318162924258849280882667135914380689731185923}
23620 190651214916745549232846031091546911335040123740804062756912249112607971631786: {259699,401251,661052,896762,944360,1062405,1133232,1227356,1249051,1274886,1390099,1604732,1671979,1744994,1953571,2077064,2094259,2170556,2336697,2873954,3469641,3719162,4056331,4130525,4601805,4908592,4956630,4995356,5124962,5287072,5451369,5522166,5559452,5865619,5900750,5947956,6142891,6311132,6489725,6558259,6724005,6834811,7080900,7172272,7437692,7552960,7787670,8068806,8094457,8306848,8422701,8497080,8861192,9063552,9345204,9559215,9721219,9968841,9989864,9994459,10027025,10061852,10121397,10196496,10676299,10965165,11238597,11471058,11563510,11627851,11696176,12032430,12034579,12834592,12846091,12981091,13158198,13655011,13789579,13876212,14192851,14273765,14312954,14360829,14438916,14732252,14863531,15028741,15131299,15532411,15624584,15665971,16241762,16465819,16519300,16997611,17066234,17096225,17128518,17395699,17577657,18454099,18639932,18984962,19531874,19823160,20033059,20515470,20687899,21079939,21144704,21152157,21281001,21340939,21469630,21883168,22122211,22252171,22301055,22529594,22849989,23256681,23599000,23676979,23787792,24618564,24964699,25239674,25334525,25433254,25763556,25775205,25859612,25861819,26218941,26412956,26548875,26589314,26627971,26761266,27391531,27493552,27518539,27666434,27686525,27935354,28318800,28532011,29829965,30166269,30206720,30294499,30401430,30545131,30670900,30930246,31213025,31325192,31380092,31669411,31858650,32297372,32428192,32911771,33223830,33406699,33435897,33818645,33982560,34007181,34074545,34270051,34611554,34884571,35096649,35240841,35374891,35438752,35795958,35912225,36082221,36141212,36248064,36321405,36333220,36481716,36805080,36905192,36992954,37445899,37455630,37677237,38230380,38742832,38757845,38878172,39037929,39258752,39511797,39868596,39887714,39952672,40214731,40582374,40771549,40779072,40889454,41062556,41405715,41406691,41518341,41607932,41642889,41720762,41781725,42334652,42709531,42955025,43094670,43179981,43298851,43585686,43599864,43807034,44166096,44463381,44472091,44946756,45106274,45172579,45754339,45876456,45967648,46141532,46218451,46473725,46509414,47373691,47435834,47833771,47948611,47958845,48021992,48209762,48312350,48506117,48521731,48628685,48941205,48978931,48982394,49049847,49647241,49686858,49690149,49862589,50003419,50138070,50267234,50401257,50796211,50909179,51375452,51546030,51611013,51660501,51697939,51713604,51807457,51904600,51915356,52044729,52203952,52371211,52452584,52570874,53134565,53151574,53174012,53376259,53480608,54024741,54072092,54664424,54817699,54982432,55052709,55148732,55368350,55370594,55698691,55721765,55758381,55768470,55877762,56403356,56465779,57229339,57550614,57974820,58245070,58354422,58392675,58489445,58729446,59009157,59081192,59086556,59160314,59360225,59391499,59486368,59979356,60141021,60141451,60165684,60568411,60781459,60894845,61100491,61497477,61502181,61762556,61839808,61855236,62099045,62285520,62790065,63416162,63533229,63615165,63761478,64162874,64255171,64659962,64739192,64927085,64964252,65156474,65498899,65705179,65900162,66219619,66379025,66437888,66442020,66466341,66866118,66922164,66992757,67446931,67531821,67624412,67856176,68056699,68259379,68562859,68998006,69107834,69217052,69469550,69569784,69599162,69894084,70071210,70187334,70270339,70871488,70924630,71232270,71314274,71364091,71558714,72449131,72778754,72831591,72959614,73037299,73073814,73229829,73232779,73720219,73803452,74099345,74382077,74388489,74518854,74742624,74786251,74979139,75252309,75348078,75561692,75930820,75981088,76338198,76417274,76439612,76607059,76899962,77081899,77271331,77278537,77622914,77912502,78266007,78582605,78584834,79161657,79242979,79336621,79654830,79707739,79730424,79768412,79783994,80259081,80395025,80907691,80979554,81032109,81126305,81218234,81329717,81695162,81822451,81838149,82004539,82096145,82186339,82388252,83363460,83434172,83556350,83994965,84085452,84486165,84518709,84701299,84965152,85000892,85109556,85409491,85453942,85478724,85497691,85761859,85870172,86704275,86724931,86733845,87138434,87246571,87268601,87608162,87674158,88077129,88399817,88473212,88539331,88557725,88919214,88921024,88966651,89222179,89646619,89696727,89864889,89948162,90118576,90204572,90574051,91116984,91326379,91409611,91575859,91577594,91809794,91990219,92178541,92484560,93140851,94196659,94299126,94438579,94476965,94676134,94691132,94909101,95045474,95546525,95585796,95735162,96103469,96474030,96822139,97150249,97213099,97351566,97524571,97732349,97757419,98052981,98221171,98515374,98568580,99057185,99286054,99293179,99369211,99618914,99672619,...,3166482881533867340475924500088799517974582873273755686859902323719017100009048944193737056445043275219134525347793570490502990313007173966532728173714150332731273034811103663967688550917510927242360948427031554252292020858579262150962789631926673268146219939867743519100546820537274357991161796815853119251181317209984157843102084536824034668198282376422395801648935940259028686559222739504676842057967944504170306263459273894338290795611185046392581584541706605574250714712865363982827661188564372310747574097478043227665423999239827071442593085175548635025392744583897775921234515394397144582803582895580587315982045416856090517347548514543094121580187955544682933356949070011777104588782913455545087352687978663008420104175698298209388197888905156310213943159062020776051394272819465781254287353211923973531737887647191445692765014628957789747113447990186416385008086171304878678463072790467931116010917172597273378122996984403578799085967928156907583859808146450849123686858134631391620336322171267805581089681597919006696441711015290184614034469164869228439119458430027004517472483389973791239462457560583162107041579667135556701310410658587024771649938181503964250720689384128316826965363305842238301244070569876393779583753379097978013455141003803727978634237087396229409479364088159305277932064282807785074915686761669454907116061660510216541976521896874084500558737088023170604131975886409816241799406641827225271346411604964499492471148481161173367355731441893110483342074403589794784764306294365847494984189519775175037096216320152237446919921793964076715031062943391008102884226864417630643361900065143212759677417102220275848322947588860316848592494207172952414741903612073629939649242253864765467205036755009710521728611195758492633846459748127601363938913697789381516555406926318223092717207729768990350302662479610273156804791272569468741811861095075637529595093400143208569518850040924498866054719296484816421584550165111584781749593715393401157095040905278573347410114929766109988605190955330075811781973979917418223440299715081889470636838939268731430656248852397945602952062422206202335795751364918205854262318869538098612367641419589008325990890948609529591096853794950414487484655910725218097134105072762499032692935638494247834981570138512399728387293745277416148064361648764695459346272340694662351504507528438229108131108928395058567842674744429832509999831207159650058579086692934172717140387779440928057586573764167935517217995841260965872570509516715382603920433492402051076411952706377303092798326106864290145342269764886084106578026526910934493903671326760388404222597267705908318022449614045341221299166634623495763159156406250512655942041971103660021073057941908304847857775178338168992324288610018484462808577128933241941578310739760762863628436379256720980238091543303116500938183274920591250795427308425138681783454458664456095588641387141579333610294881552003671982358146910304158683152746331835115181537068974122515030024009383215775310462537250528213485516730216950632183562351577502296148040186470367607705307045457678582339306471152349837805529613265648412853308967222306046200763740773742951890071724088977847553077116393221115429322911039107412364192054712660273443743721499356903874302138726887494420859291509147115492182279449712199814004479115978308201640311349686749305889015295812069784918166884185595177117464915408141408426433776668902528716297929425758315520861264811156791506969914258700794481277330142125658696406350277628992836574126992279489677821173229354284714806225127946194580510658327817798142438244557322390109927399482965844636449944031457054095724129629846329402754803922445946536030071175074039000633669114469509839270764732287202736001363976043321757550565678465707843556181219174252974914564}
23621 191326163625615018722487357719368131157828276164019141296688495224957563766913: {826315,991578,1180450,1345143,1416540,1510976,1534195,1699848,1817431,1841034,1912329,2005915,2407098,2596330,2617491,2713195,2855479,3115596,3255834,4295018,4310931,4411891,4626188,5578743,6135740,6244195,6275738,6608840,6949315,7268492,7362888,7434945,7493034,7522339,7687443,7753543,7888915,7930608,7974434,8283249,8339178,8741131,8851125,8921934,8965340,9220171,9297115,9441200,9466698,10234154,10383560,10621350,10758408,11076490,11147191,11156538,11230268,11329440,11681505,12084736,12103209,12182071,12460272,12487330,12561211,12577315,12745620,13291788,13495196,13595328,13671511,13733731,14017806,14395771,14620220,14823643,14984796,15092778,15294744,15801379,16043240,16423411,16803271,17025482,17206587,17223091,17345265,17544264,18048645,18062083,18354019,18383959,18415315,18501616,18822043,18900211,19147772,19251888,19530730,19737297,19816483,20050411,20448439,20649125,20814318,21181339,21257434,21469431,21658374,21724651,22098378,22214251,22838024,23299915,23436876,23713843,24056858,24362074,24362643,24778950,25599351,25692777,26118499,26343434,26430880,26808643,27353960,27409543,27959898,28202876,28374668,28477443,29201971,29206771,29297811,29365603,29498750,29734740,29930779,30466652,30566602,30773205,31008908,31438378,31717056,31743319,31942423,32204445,32292043,32324515,32824752,32844034,33016195,33022411,33129578,33794391,33899978,34351408,34366940,34958588,35373811,35398500,35681688,36179443,36261271,36764794,36927846,37758400,37859511,38149881,38338625,38492138,38645334,38671291,38789418,38965399,39156490,39225115,39569059,39619434,39629602,39883971,40141899,40221692,40371715,40535240,40930843,41004938,41240328,41495731,41499651,41626339,41903031,42019243,42040471,42435298,42478200,42741043,43038199,44298440,44581196,45176515,45276554,45310080,45342908,45416525,45440083,45602145,45678458,45896011,46006350,46131490,46135639,46144291,46395369,46795532,46987788,47070138,47556151,47727944,47787975,47831371,48109628,48122923,48330752,48428540,48446058,48597715,48642288,49073440,49714291,49835745,49940840,50236316,50912938,50973840,51328195,51696043,51917331,52009915,52050572,52274371,52682396,52918315,53158128,53693937,54109832,54211818,54309079,54372096,54499830,54519272,54563402,54583531,54722574,55207620,55357788,55489431,55523852,55999522,56183445,56586163,56646793,56803834,57345570,57459560,57573308,57676915,58114248,58133152,58144411,58317258,58888128,59284508,59289698,59374154,59802894,59831571,59929008,60027490,60873561,61168608,61334181,61442359,61593834,61951219,62012552,62411898,62580043,62581143,63501978,63879418,64219315,64642005,64880750,64894195,65254940,65378529,65399796,65565730,65710551,66249144,66253532,66467515,66483452,66590498,66850760,67201676,67420134,67590115,67659411,68330530,68434699,68728040,68814684,68880668,68910571,68935915,68951472,69212298,69392972,69573559,69764121,70504195,71095651,71153751,72032988,72314643,72352738,72468525,72607483,72616951,73403612,73473591,73512643,73851490,73858195,74344508,74357960,74530287,74901098,74974195,74998423,75207105,75400851,76213891,76734152,76898602,77063178,77203195,77299760,77319045,77570406,77805896,77856900,77873034,78305928,78678876,78853754,78856311,79131394,79727361,79761018,79960291,80188028,80211571,80220912,80523082,80923990,81108138,81205315,81222691,81431431,81616483,81996636,82002908,82473648,82723098,83047360,83052525,83055891,83652705,83816643,84530515,84605034,84710972,84758839,84820220,85015304,85213531,86325921,86521315,86962230,87367605,87531633,88094169,88419211,88589360,88621788,88629834,88740471,89154824,89229552,89323676,89899243,89969034,89998471,90042428,90248526,90688474,91818199,91967258,92254315,92572531,92643834,92759712,92782854,93192112,93428280,93583112,94189771,94452115,94617943,94913525,94976360,95124243,95266999,95549515,95560171,95642217,95982211,96244311,96989943,97108788,97431752,97446378,97484971,97639772,97734711,97855351,98398234,98850243,99184652,99358472,99656832,99663030,99710515,...,4749724322300801010713886750133199276961874309910633530289853485578525650013573416290605584667564912828701788021690355735754485469510760949799092260571225499096909552216655495951532826376266390863541422640547331378438031287868893226444184447890009902219329909801615278650820230805911536986742695223779678876771975814976236764653126805236052002297423564633593702473403910388543029838834109257015263086951916756255459395188910841507436193416777569588872376812559908361376072069298045974241491782846558466121361146217064841498135998859740607163889627763322952538089116875846663881851773091595716874205374343370880973973068125284135776021322771814641182370281933317024400035423605017665656883174370183317631029031967994512630156263547447314082296833357734465320914738593031164077091409229198671881431029817885960297606831470787168539147521943436684620670171985279624577512129256957318017694609185701896674016375758895910067184495476605368198628951892235361375789712219676273685530287201947087430504483256901708371634522396878510044662566522935276921051703747303842658679187645040506776208725084960686859193686340874743160562369500703335051965615987880537157474907272255946376081034076192475240448044958763357451866105854814590669375630068646967020182711505705591967951355631094344114219046132238957916898096424211677612373530142504182360674092490765324812964782845311126750838105632034755906197963829614724362699109962740837907019617407446749238706722721741760051033597162839665725013111605384692177146459441548771242476284279662762555644324480228356170379882690946115072546594415086512154326340296626445965042850097714819139516125653330413772484421383290475272888741310759428622112855418110444909473863380797148200807555132514565782592916793637738950769689622191402045908370546684072274833110389477334639075811594653485525453993719415409735207186908854203112717791642613456294392640100214812854278275061386748299082078944727224632376825247667377172624390573090101735642561357917860021115172394649164982907786432995113717672960969876127335160449572622834205955258408903097145984373278596918404428093633309303503693627047377308781393478304307147918551462129383512488986336422914294386645280692425621731226983866087827145701157609143748549039403457741371752472355207768599592580940617916124222096542473147043189019408511041993527256761292657343662196663392592587851764012116644748764999746810739475087868630039401259075710581669161392086379860646251903275826993761891448808855764275073073905880650238603076614617929059565954639197489160296435218013404647329126159867039790366401740855506990140582606333895901558862477033674421068011831948749951935243644738734609375768983913062956655490031609586912862457271786662767507253488486432915027726694212865693399862912367466109641144295442654568885081470357137314954674751407274912380886876193140962637708022675181687996684143382962080712369000415442322328005507973537220365456238024729119497752672772305603461183772545036014074823662965693805875792320228275095325425948275343527366253444222060279705551411557960568186517873508959706728524756708294419898472619279963450833459069301145611160614427835107586133466771329615674589831673143984366558661118546288082068990410165615582249035355811453208090331241631288937263720673238273419174568299721006718673967462302460467024530123958833522943718104677377250326278392765676197373112212112639650665003353793074446894138637473281291897216735187260454871388051191721915995213188488044609525416443489254861190488419234516731759844031427072209337691919291870765987491726697213657366835983585164891099224448766954674916047185581143586194444769494104132205883668919804045106762611058500950503671704264758906147098430804104002045964064982636325848517698561765334271828761379462371846}
23622 192003486250161149730913487665870670559740487818915080800689980464639503467471: {306917,448457,519398,542777,684197,802502,966821,1322104,1390217,1437221,1487367,1719077,1770675,1793524,1888720,1953737,2124810,2266464,2454712,2498102,2549772,2656517,2761551,2780198,3209464,3343958,3489988,3497477,3610647,3823817,3894495,3907142,4154128,4188518,4341112,4475321,4673394,4883751,5217977,5747908,5782735,5866121,6442527,6604937,6939282,7249721,7438324,7669675,7709321,8112662,8213957,8261050,9085615,9203610,9413607,9722057,9767621,9817184,9913260,9990712,10040837,10249924,10404677,10574144,10722617,10902738,11044332,11085497,11118904,11206675,11239551,11357321,11731238,11801500,11895912,11961651,12080777,12285782,12486821,12508767,12622264,12979450,12982217,13116518,13117157,13382901,13448010,13656197,13669622,13835621,14037835,14161800,14200047,14238857,14344544,14875384,15105920,15132617,15177221,15351231,15575340,15932025,16067621,16137612,16188914,16613696,16614735,16734807,16845402,16868995,16994160,17176121,17397221,17573957,17722384,18127104,18275275,18499721,18690408,18730995,19114937,19118430,19421957,19442438,19937682,19979728,19983271,19988918,20034821,20054050,20078537,20123704,20242794,20392992,21026709,21352598,21603557,21930330,21994121,22254137,22477194,22639167,22816517,22942116,23127020,23255702,23392352,23679077,23722121,23934715,24064860,24069158,24581321,25538223,25669184,25692182,25906757,25962182,26316396,26502821,27182117,27310022,27563321,27579158,27752424,28385702,28547530,28576697,28625908,28721658,28877832,29296095,29417657,29464504,29727062,30057482,30262598,31064822,31221477,31249168,31331942,31713797,31796837,31886151,32170121,32483524,32487561,32931638,32956037,33038597,33038600,33147567,33162377,33409721,33821321,33995222,34067897,34132468,34191077,34192450,34257036,34396217,34642121,34791398,34887737,35155314,35253595,35418917,35468335,35622857,36085287,36543111,36908198,37125797,37168425,37279864,37969924,38083315,38094821,38457017,38761135,38938937,39063748,39299621,39515151,39646320,39739577,40066118,40696121,41030940,41375798,41761951,41939847,42159878,42240677,42289408,42304314,42562002,42681878,42713477,42939260,42958675,43459721,43698235,43766336,44244422,44248125,44281157,44476217,44504342,44602110,45059188,45176777,45699978,45758597,45797321,45849903,45990821,46513362,47157567,47186057,47198000,47346103,47353958,47531621,47575584,47704363,47876537,47953097,48678821,49211717,49237128,49266051,49694367,49780937,49929398,50277115,50479348,50669050,50849967,50866508,51139721,51527112,51550410,51719224,51723638,52039817,52301477,52437882,52825912,53097750,53178628,53195621,53255942,53522532,54212719,54260983,54491321,54783062,54822917,54987104,55037078,55043621,55147191,55332868,55373050,55391769,55726495,55740617,55813817,55870708,56179337,56361797,56637600,56678635,56835257,57064022,57325411,57379877,57738207,57968001,58184127,58494415,58734735,58895237,59218121,59429151,59444403,59659930,59719097,60137035,60147257,60332538,60413440,60535675,60588998,60802860,61090262,61341800,61507407,61860492,62059721,62270777,62426050,62650384,62760184,62795395,63251897,63338822,63426437,63652947,63717300,64594744,64856384,65022821,65063215,65195321,65823542,65848997,65852995,66260357,66447660,66813398,66871794,67045577,67142383,67637290,67914831,67965120,68014362,68080159,68097221,68149090,68299877,68517687,68540102,68569637,68603321,69009525,69197235,69223108,69404815,69576677,69769142,69777221,70193298,70410377,70481682,70605207,70749782,70877504,70974437,71404217,71591916,71602121,71824450,71964197,71966635,72164442,72282424,72496128,72587321,72642810,72666440,72669087,72783497,72963432,73044617,73272677,73610160,73810384,73857317,73985908,74105635,74245637,74388391,74697221,74825957,74891798,74911260,74986697,75354474,75371657,75659621,76329017,76369407,76460760,77279177,77485664,77515690,77756344,78010471,78075858,78517504,78690917,78784457,79023594,79282121,79715897,79737192,79775428,79901321,79905344,80429462,80548037,80640137,80854757,80946617,81164748,81317727,81543098,81558144,81568675,81587621,81749745,81778908,81845103,81861257,81885223,82043321,82083861,82125112,82194821,82225097,82811430,82813382,82816915,82919237,83036682,83104315,83215864,83285778,83441524,83563450,83818277,83999283,84002095,84027017,84175877,84443321,84669304,84710117,85182821,85205751,85252783,85419062,85770821,85800137,85910050,86018355,86100835,86189340,86359962,86597702,86741215,86763077,86938663,87171372,87199728,87371321,87475887,87614068,87803621,87906091,88119497,88205477,88332192,88405817,88926762,88934547,88944182,88976057,89061231,89259977,89704341,89893512,90041235,90106937,90212548,90345158,90897919,91508678,91752912,91754515,91779257,91862117,91935296,92165321,92283064,92330297,92390751,92436902,92440121,92930635,92947450,93018828,93617847,93639737,94206821,94448777,94475621,94716857,94747382,94871668,95252967,95410121,95516297,95648837,95667542,95819127,95897222,95913317,95917690,96043984,96419524,96624700,96858821,97012234,97043462,97223717,97257370,97321125,97535237,97882410,97957862,97964788,98099694,98308997,98348595,98385977,98795321,98922821,99294482,99373716,99380298,99405497,99683621,99708857,99725178,99885747,...,7124586483451201516070830125199798915442811464865950295434780228367788475020360124435908377001347369243052682032535533603631728204266141424698638390856838248645364328324983243927299239564399586295312133960820997067657046931803339839666276671835014853328994864702422917976230346208867305480114042835669518315157963722464355146979690207854078003446135346950390553710105865582814544758251163885522894630427875134383189092783366262261154290125166354383308565218839862542064108103947068961362237674269837699182041719325597262247203998289610910745834441644984428807133675313769995822777659637393575311308061515056321460959602187926203664031984157721961773555422899975536600053135407526498485324761555274976446543547951991768945234395321170971123445250036601697981372107889546746115637113843798007822146544726828940446410247206180752808721282915155026931005257977919436866268193885435977026541913778552845011024563638343865100776743214908052297943427838353042063684568329514410528295430802920631145756724885352562557451783595317765066993849784402915381577555620955763988018781467560760164313087627441030288790529511312114740843554251055002577948423981820805736212360908383919564121551114288712860672067438145036177799158782221886004063445102970450530274067258558387951927033446641516171328569198358436875347144636317516418560295213756273541011138736147987219447174267966690126257158448052133859296945744422086544048664944111256860529426111170123858060084082612640076550395744259498587519667408077038265719689162323156863714426419494143833466486720342534255569824036419172608819891622629768231489510444939668947564275146572228709274188479995620658726632074935712909333111966139142933169283127165667364210795071195722301211332698771848673889375190456608426154534433287103068862555820026108412249665584216001958613717391980228288180990579123114602810780363281304669076687463920184441588960150322219281417412592080122448623118417090836948565237871501065758936585859635152603463842036876790031672758591973747474361679649492670576509441454814191002740674358934251308932887613354645718976559917895377606642140449963955255540440571065963172090217456460721877827193194075268733479504634371441579967921038638432596840475799131740718551736413715622823559105186612057628708532811652899388871410926874186333144813709720564783529112766562990290885141938986015493294995088888881777646018174967123147499620216109212631802945059101888613565872503742088129569790969377854913740490642837173213283646412609610858820975357904614921926893589348931958796233740444652827020106970993689239800559685549602611283260485210873909500843852338293715550511631602017747923124927902865467108101914063653475869594434983235047414380369293685907679994151260880232729649372541590041319298540099794368551199164461716443163981853327622205535705972432012127110912368571330314289711443956562034012772531995026215074443121068553500623163483492008261960305830548184357037093679246629009158458405191775658817554021112235494448540708813688480342412642988138922413015291049380166333090419558327117336940852279776810263439560092787135062441629847708928919945176250188603951718416740921641752661379200200156994423511884747509715976549837991677819432123103485615248423373373553033717179812135496862446933405895581009857410128761852449581510078010951193453690700536795185938250284415577157016065875489417589148514296059668318168959475997505030689611670341207956209921937845825102780890682307082076787582873992819782732066914288124665233882291785732628851775097639766047140608314006537878937806148981237590045820486050253975377747336648836673150432012374070778371715379291667154241156198308825503379706067660143916587751425755507556397138359220647646206156003068946097473954488772776547842648001407743142069193557769}
23623 192683191085463717813435840995671534863682703756608736810583226863281402131254: {23623,779097,1156841,1203753,1652630,1983156,2147873,2241905,2360900,2690286,2808281,2833080,3021952,3068390,3187215,3374657,3399696,3634862,3682068,3747153,3798473,3824658,4011830,4170297,4362485,4814196,4930937,5015937,5192660,5214053,5234982,5426390,5710958,5860713,6231192,6282777,6511668,7010091,7184885,8041121,8590036,8621862,8741873,8823782,8890037,9252376,9297905,9729041,10304897,10408923,11044481,11157486,12168993,12271480,12391575,12488390,12551476,12812405,13015961,13173953,13217680,13805415,13898630,14396993,14536984,14725776,14751875,14869890,14986068,15044678,15374886,15507086,15777830,15861216,15948868,16230773,16354107,16566498,16567601,16678356,17224553,17482262,17596857,17608241,17702250,17843868,17930680,18355577,18428673,18440342,18594230,18674357,18882400,18901817,18933396,19249337,19469175,19674777,20052113,20172015,20468308,20504433,20767120,21036401,21183137,21242700,21516816,21726497,22152980,22294382,22313076,22336613,22460536,22642121,22658880,23297873,23363010,24166337,24169472,24206418,24283371,24364142,24920544,24974660,25122422,25154630,25268103,25276661,25491240,25781441,26583576,26635697,26810921,26990392,27190656,27343022,27467462,28035612,28677645,28791542,28908775,29163657,29240440,29647286,29906523,29962601,29969592,29983377,30081075,30185556,30364191,30589488,30867317,31390817,31602758,32028897,32086480,32238581,32619881,32637497,32846822,32895495,33025217,33606542,33715791,34050964,34413174,34446182,34517093,34690530,34883553,35088528,35782385,35890217,36097290,36103737,36124166,36708038,36767918,36830630,37003232,37644086,37800422,38295544,38503776,38538273,38674577,38766341,38943273,39061460,39474594,39632966,40100822,40604405,40896878,40934321,40965033,41298250,41368737,41499257,41628636,41805413,42362678,42514868,42578553,42665585,42821295,42938862,43082487,43316748,43449302,43519913,43539941,44196756,44428502,44497121,44590593,45086223,45254321,45393897,45676048,46050017,46222673,46597233,46599830,46651121,46873752,46997913,47427686,47462405,47769401,48113716,48724148,48725286,48829685,49397457,49557900,49684193,50992833,51198702,51288675,51385554,52187097,52236998,52686868,52732971,52861760,53617286,53674075,54523937,54707920,54819086,54915161,55362297,55664393,55919796,56323985,56405752,56520401,56749336,56954886,58403942,58413542,58424297,58595622,58731206,58753253,58997500,59469480,59861558,60099177,60488657,60933304,61133204,61546410,61956521,62017816,62063697,62876756,63099185,63239817,63247121,63434112,63456471,63486638,63583135,63843003,63884846,64022817,64183457,64408890,64584086,64649030,65649504,65688068,66032390,66044822,66097061,66259156,66366633,66473285,66756513,66903165,67588782,67799956,68036801,68549967,68564633,68702816,68733880,69166085,69770043,69838385,69917176,69942401,70362437,70747622,70797000,71030937,71363376,71772977,71859473,72358886,72522542,72613697,72813881,73215077,73529588,73855692,74029841,74085641,74894097,75516800,75719022,76003575,76004597,76299762,76677250,76984276,77017697,77290668,77325615,77342582,77375621,77578836,77585457,77930798,78312980,78450230,78656823,79138118,79238868,79259204,79646625,79767942,79883913,80283798,80443384,80743430,80747681,81070480,81861686,82009876,82174593,82223297,82480656,82555617,82991462,82999302,83059575,83252678,83806062,83860793,84022133,84038486,84080942,84870596,84956400,85482086,85596033,85820033,86076398,86528885,87244361,88596880,89162392,89489895,89907041,90353030,90498807,90553108,90620160,90685816,90833050,90851873,90880166,90883497,90909893,91204290,91356916,91635393,91792022,92012700,92262980,92271278,92288582,92482385,92790738,92883641,93054521,93591064,93639075,93975576,94140276,94626161,94795493,95008233,95112302,95455888,95575950,95662742,95990453,96219256,96245846,96510281,96661504,96857080,96892116,97195430,97284576,98140613,98146880,98705873,98735313,99428582,99671490,99719285,99881680,...,9499448644601602021427773500266398553923748619821267060579706971157051300027146832581211169335129825657403576043380711471508970939021521899598184521142450998193819104433310991903065652752532781727082845281094662756876062575737786452888368895780019804438659819603230557301640461611823073973485390447559357753543951629952473529306253610472104004594847129267187404946807820777086059677668218514030526173903833512510918790377821683014872386833555139177744753625119816722752144138596091948482983565693116932242722292434129682996271997719481214327779255526645905076178233751693327763703546183191433748410748686741761947946136250568271552042645543629282364740563866634048800070847210035331313766348740366635262058063935989025260312527094894628164593666715468930641829477186062328154182818458397343762862059635771920595213662941574337078295043886873369241340343970559249155024258513914636035389218371403793348032751517791820134368990953210736397257903784470722751579424439352547371060574403894174861008966513803416743269044793757020089325133045870553842103407494607685317358375290081013552417450169921373718387372681749486321124739001406670103931231975761074314949814544511892752162068152384950480896089917526714903732211709629181338751260137293934040365423011411183935902711262188688228438092264477915833796192848423355224747060285008364721348184981530649625929565690622253501676211264069511812395927659229448725398219925481675814039234814893498477413445443483520102067194325679331450026223210769384354292918883097542484952568559325525111288648960456712340759765381892230145093188830173024308652680593252891930085700195429638279032251306660827544968842766580950545777482621518857244225710836220889818947726761594296401615110265029131565185833587275477901539379244382804091816741093368144549666220778954669278151623189306971050907987438830819470414373817708406225435583285226912588785280200429625708556550122773496598164157889454449264753650495334754345248781146180203471285122715835720042230344789298329965815572865990227435345921939752254670320899145245668411910516817806194291968746557193836808856187266618607007387254094754617562786956608614295837102924258767024977972672845828588773290561384851243462453967732175654291402315218287497098078806915482743504944710415537199185161881235832248444193084946294086378038817022083987054513522585314687324393326785185175703528024233289497529999493621478950175737260078802518151421163338322784172759721292503806551653987523782897617711528550146147811761300477206153229235858119131909278394978320592870436026809294658252319734079580732803481711013980281165212667791803117724954067348842136023663897499903870487289477469218751537967826125913310980063219173825724914543573325535014506976972865830055453388425731386799725824734932219282288590885309137770162940714274629909349502814549824761773752386281925275416045350363375993368286765924161424738000830884644656011015947074440730912476049458238995505345544611206922367545090072028149647325931387611751584640456550190650851896550687054732506888444120559411102823115921136373035747017919413457049513416588839796945238559926901666918138602291222321228855670215172266933542659231349179663346287968733117322237092576164137980820331231164498070711622906416180662483262577874527441346476546838349136599442013437347934924604920934049060247917667045887436209354754500652556785531352394746224424225279301330006707586148893788277274946562583794433470374520909742776102383443831990426376976089219050832886978509722380976838469033463519688062854144418675383838583741531974983453394427314733671967170329782198448897533909349832094371162287172388889538988208264411767337839608090213525222117001901007343408529517812294196861608208004091928129965272651697035397123530668543657522758924743692}
23624 193365286455398629764676535999321874189575129818705180970462838607289367682328: {613834,731383,896914,1013983,1038796,1085554,1368394,1437343,1578319,1605004,1933642,2478945,2644208,2780434,2874442,2951125,2974734,2984119,3438154,3541350,3544423,3587048,3777440,3907474,4035429,4249620,4522183,4532928,4602585,4909424,4996204,5099544,5313034,5452293,5523102,5560396,5736987,6017745,6418928,6490825,6687916,6979976,6994954,7221294,7296343,7647634,7709983,7788990,7814284,7852473,8095829,8139585,8308256,8377036,8566437,8672623,8682224,8950642,9221119,9346788,9767502,9768463,10435954,10587319,10737545,11495816,11565470,11732242,12719861,12885054,12932793,13163263,13209874,13235673,13878564,13971319,14105743,14499442,14508583,14876648,15178543,15339350,15418642,15689345,16225324,16427914,16522100,16736229,18171230,18407220,18732585,18827214,19444114,19535242,19634368,19652969,19826520,19936085,19981424,20080303,20081674,20499848,20604319,20809354,20847945,21148288,21445234,21805476,22088664,22170994,22237808,22304835,22413350,22479102,22567017,22714642,23062329,23260629,23462476,23603000,23616593,23666745,23724223,23791824,23923302,24161554,24571564,24626383,24849747,24973642,25017534,25244528,25268623,25585385,25958900,25964434,26223393,26233036,26234314,26292463,26553375,26765802,26896020,27312394,27339244,27660513,27671242,27691225,27891345,28075670,28323600,28400094,28477714,28689088,29462263,29750768,30211840,30265234,30354442,30702462,31150680,31218325,31864050,32135242,32214463,32275224,32377828,32587063,33227392,33229470,33441573,33469614,33508601,33690804,33737990,33824383,33988320,34352242,34794442,35044515,35147914,35177119,35444768,35666863,35789119,36254208,36309627,36521143,36546213,36550550,36999442,37380816,37461990,37683633,37731945,38229874,38236860,38339863,38843914,38884876,38942503,39875364,39959456,39966542,39977836,40069642,40108100,40157074,40247408,40485588,40620319,40739623,40785984,41014533,41201193,42053418,42284023,42563705,42705196,43187313,43207114,43463743,43860660,43988242,44470929,44508274,44954388,45278334,45633034,45801583,45884232,45917719,46033783,46254040,46511404,46784704,47358154,47404137,47444242,47869430,48129720,48138316,48826825,49162642,49254343,49270233,49355033,49655669,49823503,49937119,50409813,50504119,51076446,51338368,51384364,51619761,51632719,51669273,51813514,51924364,52035795,52194319,52632792,52865863,53005642,53143585,53316641,53868319,54145935,54186249,54265589,54364234,54533383,54620044,55062057,55126642,55151877,55158316,55245945,55504848,56075119,56466129,56700633,56771404,57095060,57153394,57251816,57443316,57711319,57755664,58592190,58835314,58929008,59211891,59223823,59449449,59454124,60114964,60142145,60151233,60402319,60525196,60905185,61177529,61345317,61947375,62129644,62442954,62498336,62663884,62943343,63427594,63544017,63593674,63772302,64069577,64340242,64408293,64967048,64975122,65029183,65173953,65649319,65858585,65863276,65912074,66077194,66077200,66295134,66324754,66574663,66642753,66819442,67086223,67642642,67748213,67990444,68135794,68264936,68382154,68384900,68514072,68610103,68792434,69284242,69582796,69775474,69817543,69899745,70310628,70387961,70507190,70616743,70716319,70837834,70936670,71141529,71245714,72170574,72299743,72594583,73086222,73087929,73670119,73746875,73816396,74251594,74253103,74336850,74559728,75699223,75939848,76082119,76166630,76189642,76416505,76798053,76914034,77034319,77078331,77522270,77602183,77877874,78017093,78127496,78355497,78595945,78599242,78823663,78917119,79030302,79292640,79350089,79479154,79940383,80132236,80425929,80863063,81230119,81392242,81596023,81892181,82061880,82110085,82228629,82233583,82751596,82823945,83523902,83879694,83946319,84191849,84319756,84481354,84578816,84608628,84749945,85124004,85191703,85363756,85426954,85432329,85809103,85878520,85917350,86919442,87396470,87532672,87605913,87620313,87893433,87913553,88096809,88243423,88488844,88496250,88562314,88952434,89008684,89204220,89792337,90118376,90353554,90788983,91088501,91399956,91517194,91594642,91699806,91911985,91981642,92194193,92202703,92319615,92942719,93026724,94315134,94372114,94396000,94485823,94566319,94692206,94707916,95063242,95151168,95229957,95367319,95408726,95753074,95765119,95827269,95906194,96161119,96230345,96613335,96876129,96973545,97166741,97357642,97416223,97891225,98423434,98474256,98499319,98532102,98576143,98959183,99048585,99067233,99074005,99388734,99561874,99719863,99858796,...,14249172966902403032141660250399597830885622929731900590869560456735576950040720248871816754002694738486105364065071067207263456408532282849397276781713676497290728656649966487854598479128799172590624267921641994135314093863606679679332553343670029706657989729404845835952460692417734610960228085671339036630315927444928710293959380415708156006892270693900781107420211731165629089516502327771045789260855750268766378185566732524522308580250332708766617130437679725084128216207894137922724475348539675398364083438651194524494407996579221821491668883289968857614267350627539991645555319274787150622616123030112642921919204375852407328063968315443923547110845799951073200106270815052996970649523110549952893087095903983537890468790642341942246890500073203395962744215779093492231274227687596015644293089453657880892820494412361505617442565830310053862010515955838873732536387770871954053083827557105690022049127276687730201553486429816104595886855676706084127369136659028821056590861605841262291513449770705125114903567190635530133987699568805830763155111241911527976037562935121520328626175254882060577581059022624229481687108502110005155896847963641611472424721816767839128243102228577425721344134876290072355598317564443772008126890205940901060548134517116775903854066893283032342657138396716873750694289272635032837120590427512547082022277472295974438894348535933380252514316896104267718593891488844173088097329888222513721058852222340247716120168165225280153100791488518997175039334816154076531439378324646313727428852838988287666932973440685068511139648072838345217639783245259536462979020889879337895128550293144457418548376959991241317453264149871425818666223932278285866338566254331334728421590142391444602422665397543697347778750380913216852309068866574206137725111640052216824499331168432003917227434783960456576361981158246229205621560726562609338153374927840368883177920300644438562834825184160244897246236834181673897130475743002131517873171719270305206927684073753580063345517183947494948723359298985341153018882909628382005481348717868502617865775226709291437953119835790755213284280899927910511080881142131926344180434912921443755654386388150537466959009268742883159935842077276865193680951598263481437103472827431245647118210373224115257417065623305798777742821853748372666289627419441129567058225533125980581770283877972030986589990177777763555292036349934246294999240432218425263605890118203777227131745007484176259139581938755709827480981285674346426567292825219221717641950715809229843853787178697863917592467480889305654040213941987378479601119371099205222566520970421747819001687704676587431101023263204035495846249855805730934216203828127306951739188869966470094828760738587371815359988302521760465459298745083180082638597080199588737102398328923432886327963706655244411071411944864024254221824737142660628579422887913124068025545063990052430148886242137107001246326966984016523920611661096368714074187358493258018316916810383551317635108042224470988897081417627376960684825285976277844826030582098760332666180839116654234673881704559553620526879120185574270124883259695417857839890352500377207903436833481843283505322758400400313988847023769495019431953099675983355638864246206971230496846746747106067434359624270993724893866811791162019714820257523704899163020156021902386907381401073590371876500568831154314032131750978835178297028592119336636337918951995010061379223340682415912419843875691650205561781364614164153575165747985639565464133828576249330467764583571465257703550195279532094281216628013075757875612297962475180091640972100507950755494673297673346300864024748141556743430758583334308482312396617651006759412135320287833175502851511015112794276718441295292412312006137892194947908977545553095685296002815486284138387115538}
23625 194049780712737236059833959209030372217394126740295275688191125376744051812113: {47246,920751,1298495,1345371,1558194,1628331,2006255,2052591,2313682,2407506,2855963,2900463,3138667,3305260,3966312,3988231,4170651,4295746,4311663,4462101,4483810,4721800,5157231,5312025,5380572,5616562,5666160,5827471,5861211,6043904,6107479,6136780,6245255,6374430,6749314,6799392,6950495,7269724,7364136,7494306,7596946,7649316,7969551,8023660,8284653,8340594,8359895,8724970,9503143,9628392,9767855,9861874,10031874,10058839,10385320,10428106,10469964,10471295,10492431,10831941,10852780,11421916,11471451,11683485,11721426,12184139,12462384,12565554,13017067,13023336,13425963,13736063,14020182,14369770,14651253,15653931,16082242,16426199,17180072,17243724,17348205,17483746,17598363,17647564,17780074,17937367,18504752,18595810,18825239,19250971,19327581,19458082,19814811,19819847,20281655,20609794,20652625,20817846,21483803,21749163,22088962,22218023,22314972,22338511,22644043,23009025,23127963,23619647,24337986,24542960,24641871,24783150,24976780,25102952,25624810,26031922,26347906,26435360,27019879,27256845,27610830,27797260,28240821,28409159,28706231,28793986,29073968,29166171,29302863,29328095,29451552,29503750,29739780,29965147,29972136,30089356,30122511,30714455,30749772,31014172,31214031,31478551,31555660,31722432,31897736,32097287,32167851,32448625,32461546,32708214,32791295,33132996,33135202,33256491,33356712,33620025,33718653,34071963,34174055,34449106,34964524,35193714,35216482,35404500,35687736,35861360,35884953,36242331,36711154,36857346,36880684,37188460,37348714,37460463,37526301,37764800,37803634,37866792,38426123,38498674,38938350,38946651,39349554,39351471,40104226,40148703,40271807,40344030,40472285,40936616,40968591,41008866,41506863,41534240,42072802,42113505,42366274,42415711,42485400,42600141,42716571,43033632,43072139,43327087,43452994,43523611,44305960,44588764,44626152,44673226,44921072,45284242,45317760,45355799,45397851,45531663,46053693,46595746,46726020,47796075,48202863,48332674,48338944,48412836,48566742,48606095,48662287,48728284,49841088,49844205,49949320,49972295,50095339,50135125,50204421,50244844,50309260,50536206,50553322,50606985,50744639,50982480,51132863,51528363,51562882,51979979,52191663,52721871,53167152,53271394,53381495,53621842,53980784,54381312,54686044,54825825,54934924,55133143,55499163,56071224,56192985,56846167,57344811,57355290,57583084,57817550,58139255,58265871,58327314,58480880,59294572,59421647,59731819,59813046,59925202,59939184,59949813,59966754,60104463,60162150,60172895,60235611,60371112,60728382,61178976,61734634,62781634,63080127,63205516,64057794,64172960,64230455,64477162,64810671,64905455,65239762,65274994,65693644,65790990,65982363,66030239,66050434,66447367,66762411,67213084,67431582,67917501,68101928,68275055,68361559,68449551,68716807,68826348,68892364,68947895,69034186,69381060,69767106,70177056,70655479,70964255,71037231,71166363,71368825,71564770,71780434,71804145,72122303,72194580,72207474,72248332,73221343,73416076,73535836,73661260,73743963,73794751,74006464,74317655,75143705,75163583,75288172,75600844,75656495,76034999,76591088,76614669,77007552,77076546,77349154,77532682,77662055,77720271,77886546,78122920,78329855,78853579,78949188,79265932,79508463,80201644,81208810,81236639,81546351,81793756,81868642,81930066,82329095,82596500,82689963,82737474,82998514,83257272,83610826,84725356,84988055,85029736,85157106,85331170,85481125,85642590,85730091,85877724,86164974,86633496,86898604,86978495,87039826,87079882,87888285,88252971,88338859,88393512,88857004,88994242,89016389,89181186,90172446,90508642,90787794,91352096,92100034,92270495,92445346,93062599,93194466,93199660,93202607,93302242,93664431,93747504,93995826,94855372,94924810,94948247,95141391,95390511,95538802,95658453,96032239,96227432,96510363,96832519,97448296,97450572,97462683,97659370,97773739,98794914,98868111,99115791,99115800,99368386,99442701,99487131,99664319,...,21373759450353604548212490375599396746328434394597850886304340685103365425061080373307725131004042107729158046097606600810895184612798424274095915172570514745936092984974949731781897718693198758885936401882462991202971140795410019518998830015505044559986984594107268753928691038626601916440342128507008554945473891167393065440939070623562234010338406040851171661130317596748443634274753491656568683891283625403149567278350098786783462870375499063149925695656519587626192324311841206884086713022809513097546125157976791786741611994868832732237503324934953286421401025941309987468332978912180725933924184545168964382878806563778610992095952473165885320666268699926609800159406222579495455974284665824929339630643855975306835703185963512913370335750109805093944116323668640238346911341531394023466439634180486821339230741618542258426163848745465080793015773933758310598804581656307931079625741335658535033073690915031595302330229644724156893830283515059126191053704988543231584886292408761893437270174656057687672355350785953295200981549353208746144732666862867291964056344402682280492939262882323090866371588533936344222530662753165007733845271945462417208637082725151758692364653342866138582016202314435108533397476346665658012190335308911351590822201775675163855781100339924548513985707595075310626041433908952549255680885641268820623033416208443961658341522803900070378771475344156401577890837233266259632145994832333770581588278333510371574180252247837920229651187232778495762559002224231114797159067486969470591143279258482431500399460161027602766709472109257517826459674867889304694468531334819006842692825439716686127822565439986861976179896224807138727999335898417428799507849381497002092632385213587166903633998096315546021668125571369825278463603299861309206587667460078325236748996752648005875841152175940684864542971737369343808432341089843914007230062391760553324766880450966657844252237776240367345869355251272510845695713614503197276809757578905457810391526110630370095018275775921242423085038948478011729528324364442573008222023076802753926798662840063937156929679753686132819926421349891865766621321713197889516270652369382165633481579582225806200438513903114324739903763115915297790521427397395222155655209241146868470677315559836172886125598434958698166614232780622558999434441129161694350587338299688970872655425816958046479884985266666645332938054524901369442498860648327637895408835177305665840697617511226264388709372908133564741221471928511519639850939237828832576462926073713844765780680768046795876388701221333958481060320912981067719401679056648807833849781455632621728502531557014881146651534894806053243769374783708596401324305742190960427608783304949705142243141107881057723039982453782640698188948117624770123957895620299383105653597493385149329491945559982866616607117917296036381332737105713990942869134331869686102038317595985078645223329363205660501869490450476024785880917491644553071111281037739887027475375215575326976452662063336706483345622126441065441027237928964416767239045873148140498999271258674981352010822556839330430790318680278361405187324889543126786759835528750565811855155250222764925257984137600600470983270535654242529147929649513975033458296369310456845745270120120659101151539436406490587340800217686743029572230386285557348744530234032853580361072101610385557814750853246731471048197626468252767445542888179004954506878427992515092068835011023623868629765813537475308342672046921246230362748621978459348196200742864373995701646875357197886555325292919298141421824942019613636813418446943712770137461458150761926133242009946510019451296037122212335115146137875001462723468594926476510139118202980431749763254277266522669191415077661942938618468009206838292421863466318329643527944004223229426207580673307}
23626 194736682239245983568444371391979911505642103470429269826737480534010289473654: {70869,401353,542869,1227668,1390453,1462766,1793828,2027966,2077592,2094793,2171108,2337291,2736788,2874686,3156638,3210008,3470523,3611259,3867284,3917653,4131575,4197013,4957890,5288416,5311573,5560868,5748884,5902250,5949468,5968238,6005833,6283033,6443619,6725715,6836569,6876308,7082700,7088846,7174096,7554880,7670975,7814948,8070858,8077813,8424843,8499240,9044366,9065856,9087155,9205170,9561645,9818848,9992408,10029575,10123971,10199088,10626068,10815253,10904586,11046204,11120792,11241459,11395419,11473974,11766553,12035490,12510891,12837856,12981650,12984469,13087455,13119433,13375832,13523893,13565975,13793173,13959952,13989908,14277395,14442588,14592686,14792811,15001369,15032563,15047811,15295268,15419966,15577980,15628568,15642159,15670069,15704946,16191658,16279170,16470133,16616512,16754072,17132874,17345246,17364448,17582139,17665369,17901284,18442238,18458953,18693576,18848331,19118293,19513033,19535004,19536926,20169493,20871908,21030273,21085513,21174638,21475090,21477013,21554655,21965083,22059455,22258069,22906969,22991632,23130940,23464484,24123363,25439722,25770108,25865586,26225619,26326526,26419748,26471346,26670111,26762569,27271753,27525913,27757128,27893715,27910519,27942638,28160053,28211486,28539673,28666069,28998884,29017166,29187123,29422933,29753296,30357086,30428053,30678700,30837284,30914691,31220975,31226769,31378690,31402283,31802569,32450648,32855828,33044200,33044569,33133443,33472458,34279369,34402453,34746575,35506969,35819539,36342460,36506979,36814440,37174725,37213513,37465170,37611695,37654428,37940569,38437215,38767715,38888228,39026293,39047883,39070484,39268736,39305938,39444575,39521859,39653040,39746869,39872170,39962848,40160606,40163348,40999696,41061193,41208638,41416245,41536969,41618708,41695890,42296576,42839413,42890468,43190979,43610952,43705655,43781173,44015893,44177328,44255625,44341988,44475616,44484469,44601433,44609670,44826700,44958204,45134034,45429284,46100855,46124658,46485575,46521258,46924952,47206000,47233186,47271733,47333490,47448446,47583648,47846604,47962069,48323108,48692319,49062321,49143128,49220953,49252766,49699494,49702803,49947284,50035068,50131033,50489056,50537246,50923573,51170770,51673659,51825013,51917800,51928868,52386073,52446786,52466072,52468628,52584926,52790571,52824723,53106750,53531604,53792040,54624788,54678488,54833353,55066731,55286019,55321026,55342484,55382450,55735955,55782690,55824469,56023071,56151340,56263093,56647200,56705451,56800188,56955428,57027913,57378176,57463369,57748011,57897673,58407525,58654933,58924526,58978393,59024331,59501536,59589187,59730613,60156339,60265753,60423680,60516045,60530468,60708884,60910355,61224469,61404924,61513299,61860373,62301360,62436650,62806055,62886575,63109203,63334069,63549411,63728100,63961333,64270484,64428926,64550448,64755656,65174126,65179491,65625923,66341833,66454784,66458940,66883146,66939228,67009839,67017202,67058773,67381608,67475980,67568713,67648766,67926363,67976640,68357555,68668655,68704484,68886133,69588884,69590473,69893619,70089030,70295828,70354238,70889536,71333726,71578238,71978855,72499011,72508416,72619254,72850113,73042286,73092426,73101100,73352473,73998884,74118215,74401019,74761632,74923980,74963999,75367266,75463890,75718591,75804309,75829983,75866569,76344469,76459748,76473720,76679726,77200153,77344323,77389513,77687828,77769752,77885006,79006895,79267273,79639369,79750728,79907091,79918912,79933084,79955672,80139284,80216200,80314148,80432763,80494816,80932633,80971176,81240638,81479246,81571968,82029066,82117055,82393369,82402386,83656393,84016355,84106836,84199003,84568046,85127410,85267259,85410392,85524469,86032935,86115455,86374626,86414228,86726325,86752213,86927486,87490971,87721320,87976484,88653013,88941858,89016548,89719569,89887803,89908776,89950131,90182293,90243225,90310415,90556668,91092573,91266068,91438873,91603166,91768464,91770095,91835438,91919795,92067566,92076575,92202019,92508080,92601951,93022808,93252553,93569408,93659893,94110215,94172451,94307893,94501055,94716308,94808274,94888484,95738860,96086691,96259440,96276632,96715743,96775369,97088713,97653650,97859643,97912491,98325284,98330569,98508686,98540466,98686485,98710066,99075651,99082415,99311338,99402073,99478069,99647006,99781333,99874238,...,28498345933804806064283320500799195661771245859463801181739120913471153900081440497743633508005389476972210728130142134414526912817064565698794553563427352994581457313299932975709196958257598345181248535843283988270628187727213359358665106687340059413315979458809691671904921384835469221920456171342678073260631854889857420587918760831416312013784541387801562214840423462331258179033004655542091578521711500537532756371133465049044617160500665417533234260875359450168256432415788275845448950697079350796728166877302389048988815993158443642983337766579937715228534701255079983291110638549574301245232246060225285843838408751704814656127936630887847094221691599902146400212541630105993941299046221099905786174191807967075780937581284683884493781000146406791925488431558186984462548455375192031288586178907315761785640988824723011234885131660620107724021031911677747465072775541743908106167655114211380044098254553375460403106972859632209191773711353412168254738273318057642113181723211682524583026899541410250229807134381271060267975399137611661526310222483823055952075125870243040657252350509764121155162118045248458963374217004220010311793695927283222944849443633535678256486204457154851442688269752580144711196635128887544016253780411881802121096269034233551807708133786566064685314276793433747501388578545270065674241180855025094164044554944591948877788697071866760505028633792208535437187782977688346176194659776445027442117704444680495432240336330450560306201582977037994350078669632308153062878756649292627454857705677976575333865946881370137022279296145676690435279566490519072925958041779758675790257100586288914837096753919982482634906528299742851637332447864556571732677132508662669456843180284782889204845330795087394695557500761826433704618137733148412275450223280104433648998662336864007834454869567920913152723962316492458411243121453125218676306749855680737766355840601288877125669650368320489794492473668363347794260951486004263035746343438540610413855368147507160126691034367894989897446718597970682306037765819256764010962697435737005235731550453418582875906239671581510426568561799855821022161762284263852688360869825842887511308772776301074933918018537485766319871684154553730387361903196526962874206945654862491294236420746448230514834131246611597555485643707496745332579254838882259134116451066251961163540567755944061973179980355555527110584072699868492589998480864436850527211780236407554454263490014968352518279163877511419654961962571348692853134585650438443435283901431618459687707574357395727835184934961778611308080427883974756959202238742198410445133041940843495638003375409353174862202046526408070991692499711611461868432407656254613903478377739932940189657521477174743630719976605043520930918597490166360165277194160399177474204796657846865772655927413310488822142823889728048508443649474285321257158845775826248136051090127980104860297772484274214002492653933968033047841223322192737428148374716986516036633833620767102635270216084448941977794162835254753921369650571952555689652061164197520665332361678233308469347763409119107241053758240371148540249766519390835715679780705000754415806873666963686567010645516800800627977694047538990038863906199351966711277728492413942460993693493494212134868719248541987449787733623582324039429640515047409798326040312043804773814762802147180743753001137662308628064263501957670356594057184238673272675837903990020122758446681364831824839687751383300411123562729228328307150331495971279130928267657152498660935529167142930515407100390559064188562433256026151515751224595924950360183281944201015901510989346595346692601728049496283113486861517166668616964624793235302013518824270640575666351005703022030225588553436882590584824624012275784389895817955091106191370592005630972568276774231076}
23627 195425999445786409698887533172718722272984870545111097377411657542634958174443: {23627,94492,1534585,1817893,1841502,2194149,2242285,2596990,2690742,2713885,2808757,3041949,3116388,3256662,3375229,3420985,4012510,4105182,4312029,4413013,4627364,4734957,4815012,4834105,5711926,5800926,5969029,6277334,6610520,6818377,6951085,7186105,7436835,7932624,7976462,8341302,8591492,8595385,8623326,8743357,8853375,8924202,8952357,8967620,9443600,9730693,9768685,10314462,10624050,10633269,10761144,11233124,11332320,11625433,11654942,11703853,11722422,12087808,12106287,12214958,12273560,12474349,12490510,12748860,13282585,13498628,13566549,13598784,13674997,13737229,13807755,13900990,14399437,14539448,14659813,14728272,14988612,15193892,15288493,15298632,15939102,16047320,16233529,16356879,16569306,16681188,16719790,17210961,17227477,17355613,17449940,17487385,18053235,18358693,18826837,19006286,19119085,19256784,19472475,19535710,19723748,20055517,20063748,20117678,20453653,20770640,20856212,20939928,20942590,20984862,21039973,21186733,21224857,21663882,21705560,21889029,22219909,22376605,22843832,22942902,23129949,23301829,23366970,23442852,23557419,24287487,24368278,24418755,24420313,24924768,25131108,25280953,25389949,25465117,25699311,26017869,26034134,26046672,26089885,26398429,26851926,27472126,27663357,27670093,28009273,28040364,28394317,28411573,28739540,28913675,29209417,29302506,29305389,29330605,31307862,31602133,31751413,31761957,32164484,32212635,32852398,33024685,34310893,34360144,34487448,34696410,34967492,35196726,35295128,35560148,35723833,35874734,36248605,36270517,37009504,37191620,37650478,38159583,38348375,38501942,38546605,38655162,38798379,38916164,39489789,39508549,39629622,39639694,39707019,40275229,40364953,40513693,40563310,41059333,41069785,41219588,41305250,41635692,41636953,41913957,42317229,42967606,43000237,43049173,43498326,43525749,44177924,44436046,44629944,44677022,45137737,45288086,45359653,45428075,45535629,45720733,45907813,46018050,46156057,46255926,47068035,47239294,47568277,47843677,48610285,48675972,48838105,49085920,49283742,49566300,49953560,50204185,50205904,50208687,50903437,51249620,51259813,51368173,52023385,52063844,52695812,52870720,53613085,53627149,54039758,54513690,54668617,55221660,55427485,55594520,56033375,56197755,56481642,56661199,56786605,56818318,57412462,57587972,57826117,58147936,58332342,58605726,58656190,58903104,58958907,59007500,59479560,59808255,59930294,59944272,59970937,60178712,60219253,60240909,60245022,60403885,60676729,61428910,61499544,61812957,62028344,62428062,62434105,62543835,62957102,63111320,63444864,63795472,64194574,64335702,64897250,64911085,64923092,64971637,65416428,65582590,65585785,66265992,66270404,66412429,66512982,66713424,66914505,67240050,67437306,67701051,68048533,68143926,68280985,68348110,68822713,68898212,69178105,69186987,69781887,69929048,69961213,70189175,70387428,70432964,70724149,70809000,70849779,71000235,71113933,71172669,71194285,71300533,71375472,71722720,71769906,72484662,72635629,73422308,73714692,73761368,73879149,74376920,74549241,74697428,74734093,74920926,75052602,75529600,75607268,75663085,75733584,75805869,75886105,76756155,76831177,76852246,76997348,77876700,77893302,78035737,78449533,78670179,78699108,78702942,78877389,79660125,80208452,80297406,80338105,80543614,80688060,80944570,81394957,81834829,81873232,81937182,82017732,82981539,83013726,83068480,83073675,83674035,83932213,84145604,84227010,84242053,84344975,84667117,84732548,84831422,84970800,84980293,85200282,85235449,85433142,85740553,85880605,86067264,86144278,86295253,86654174,86905988,86986105,87047222,87869785,88386789,88611920,88817773,88829689,89177528,89252304,89346452,89842144,89922637,90568484,90635520,90711598,90795702,90867637,91063326,91376375,91661797,92107386,92498605,93191492,93231949,93452040,93654975,94563229,94956373,95574685,95585077,95592150,95742793,96006937,96405726,96527053,96643389,96665348,96677888,96825672,97109785,97133484,97212190,97324574,97456568,97761189,98428933,99349957,99388333,99630373,99682176,99688410,99898640,99916355,99944590,...,42747518900707209096424980751198793492656868789195701772608681370206730850122160746615450262008084215458316092195213201621790369225596848548191830345141029491872185969949899463563795437386397517771872803764925982405942281590820039037997660031010089119973969188214537507857382077253203832880684257014017109890947782334786130881878141247124468020676812081702343322260635193496887268549506983313137367782567250806299134556700197573566925740750998126299851391313039175252384648623682413768173426045619026195092250315953583573483223989737665464475006649869906572842802051882619974936665957824361451867848369090337928765757613127557221984191904946331770641332537399853219600318812445158990911948569331649858679261287711950613671406371927025826740671500219610187888232647337280476693822683062788046932879268360973642678461483237084516852327697490930161586031547867516621197609163312615862159251482671317070066147381830063190604660459289448313787660567030118252382107409977086463169772584817523786874540349312115375344710701571906590401963098706417492289465333725734583928112688805364560985878525764646181732743177067872688445061325506330015467690543890924834417274165450303517384729306685732277164032404628870217066794952693331316024380670617822703181644403551350327711562200679849097027971415190150621252082867817905098511361771282537641246066832416887923316683045607800140757542950688312803155781674466532519264291989664667541163176556667020743148360504495675840459302374465556991525118004448462229594318134973938941182286558516964863000798920322055205533418944218515035652919349735778609388937062669638013685385650879433372255645130879973723952359792449614277455998671796834857599015698762994004185264770427174333807267996192631092043336251142739650556927206599722618413175334920156650473497993505296011751682304351881369729085943474738687616864682179687828014460124783521106649533760901933315688504475552480734691738710502545021691391427229006394553619515157810915620783052221260740190036551551842484846170077896956023459056648728885146016444046153605507853597325680127874313859359507372265639852842699783731533242643426395779032541304738764331266963159164451612400877027806228649479807526231830595581042854794790444311310418482293736941354631119672345772251196869917396333228465561245117998868882258323388701174676599377941745310851633916092959769970533333290665876109049802738884997721296655275790817670354611331681395235022452528777418745816267129482442943857023039279701878475657665152925852147427689531561361536093591752777402442667916962120641825962135438803358113297615667699562911265243457005063114029762293303069789612106487538749567417192802648611484381920855217566609899410284486282215762115446079964907565281396377896235249540247915791240598766211307194986770298658983891119965733233214235834592072762665474211427981885738268663739372204076635191970157290446658726411321003738980900952049571761834983289106142222562075479774054950750431150653952905324126673412966691244252882130882054475857928833534478091746296280997998542517349962704021645113678660861580637360556722810374649779086253573519671057501131623710310500445529850515968275201200941966541071308485058295859299027950066916592738620913691490540240241318202303078872812981174681600435373486059144460772571114697489060468065707160722144203220771115629501706493462942096395252936505534891085776358009909013756855985030184137670022047247737259531627074950616685344093842492460725497243956918696392401485728747991403293750714395773110650585838596282843649884039227273626836893887425540274922916301523852266484019893020038902592074244424670230292275750002925446937189852953020278236405960863499526508554533045338382830155323885877236936018413676584843726932636659287055888008446458852415161346614}
23628 196117740772415479135801082741462833940670397613745283269770920204248093451721: {118115,141738,448571,684371,802706,1085738,1108307,1437587,1578587,1672547,1860371,2094971,2282507,2455336,2762253,2780906,2925532,3078107,3587656,3895485,4036113,4055932,4155184,4189586,4243907,4342216,4615907,4674582,4884993,4940987,5358371,5473576,5749372,5784205,6006347,6018765,6157773,6313276,6329747,6420016,6941046,7159547,7222518,7389587,7711307,7734568,7835306,7849067,8124371,8263150,8353571,8394026,8567889,8701389,9314027,9416001,9724571,9915780,9997907,10179971,10576832,10623146,10679987,10739365,11121736,11209525,11497768,11804500,11898936,11936476,11964693,12011666,12490067,12511953,12566066,12625307,12722017,12850547,12887238,12934989,13120571,13165547,13386303,13451430,13525067,13673138,13752616,13794371,13839227,13973747,14041405,14165400,14177692,14197787,14348192,15109760,15341950,15471693,15629896,15849467,15936075,16141716,16155626,16649027,16849686,16873285,16998480,17180627,17313347,17482413,17578571,17583633,18088732,18131712,18174310,18322437,18410340,18504587,18724547,18735765,18992365,19123290,19558571,19637696,19952627,19984816,19988353,20059150,20171267,20247942,20398176,20607947,20695187,20851485,20869571,21087371,21252136,21261467,21630506,21809172,21812425,22092408,22130027,22241584,22433267,22482918,22790838,22822571,22947948,23533106,23908653,23943587,24070980,24502067,24654685,24716507,24853959,25021782,25079685,25144787,25675712,25963300,25968938,26070265,26174910,26238866,26509907,26637467,26751664,27047786,27131950,27570707,27586346,27697667,27919904,27979816,28162571,28509429,28554790,28584371,28885176,29185372,29303565,29467547,29585622,30002738,30065126,30095622,30176517,30590536,30723107,30839932,30883237,31098371,31155960,31257136,31284318,31340138,31409892,31413885,31477293,31929971,32383316,32495823,32558340,32592947,32799707,32940266,33171371,33233024,33508144,34200371,34265748,34414353,34690492,34728896,35050455,35164278,35183507,35265227,35330738,35802568,35924425,35999267,36552417,36608987,36884476,36917906,37111789,37257371,37387152,37696662,38226107,38236586,38829227,39026066,39029867,39051201,39069971,39070008,39073852,39510587,40205605,40277889,40338986,40508387,40707347,40826627,41064971,41208189,41303027,41743816,42060546,42171026,42349276,42843371,42950180,42954026,43109310,43471787,43589387,43709365,43785227,43824371,43930166,43953759,44019971,44118910,44450185,44516138,44605571,45189371,45422387,45771371,45813938,45926267,45983264,46003667,46261880,46390187,46489525,46928968,46961793,47544947,47851667,48119627,48246726,48645205,48692507,48806867,49225571,49263587,49278597,50022227,50589107,50879444,51266987,51524485,51540216,51642467,51717467,51731172,52044615,52054571,52451238,52653052,52656373,52795089,52839496,52942692,53210747,53340222,53525138,53544971,53812101,54274801,54543506,54838571,54985787,55051826,55222405,55514256,55536707,55787430,55821038,55885276,56304971,56320106,56422972,56475717,56487371,56633147,57033371,57069707,57079346,57251267,57332138,57396371,57752913,57982743,57997768,58034332,58374246,58660571,58845866,59342747,59444433,59459541,59506592,59736371,60057707,60271571,60714172,60844965,60856106,61187917,61357400,61674568,61829382,61901627,61957875,62441950,62453538,62757380,62804566,63270371,63605138,63967571,64002347,64062025,64451409,64541197,64901296,65079805,65145467,65247489,65662187,65711656,65730947,65868371,65869765,66088400,66089138,66266886,66382571,66587747,66654069,66944916,67015533,67099427,67609307,67932129,68083571,68558738,68804906,69027075,69383889,69493150,69898187,70431371,70630787,70858941,70896227,71013938,71094971,71392547,71639078,71788307,71984965,72215747,72379787,72609107,72684920,72707267,73013958,73587467,73628880,73749827,73759375,73879571,73925613,74349450,74364971,74427026,74719787,74816387,74930340,75223390,75308856,75881138,76161227,76574627,76764971,76874430,77113187,77239571,77397371,77428907,77535430,77557909,77680907,77776456,77995187,78030337,78052586,78095766,78140968,78537472,78611876,78808571,78889150,79043718,79306080,79306427,79399547,79493738,79744340,79925696,80321212,80326696,80480627,80664971,80940947,80971571,81059637,81153865,81612827,81764987,81770535,81999392,82122386,82220267,82417276,82832490,82838005,83073938,83237416,83391780,83515427,83694971,83783293,84469667,84558707,84593152,84722463,84736571,84914147,85227477,85274497,85297907,85678826,85780936,86118693,86122765,86178347,86381958,86761307,86790371,87221904,87398867,87411310,87485507,87498513,87562346,87908589,87928477,87984285,88031786,88041205,88233371,88354656,88511250,88593817,88683976,88951232,88968938,89202866,89219340,89373371,89653400,89797571,89895441,89916408,90219971,90268068,90367533,90808307,90858568,91365347,91777885,91891571,92143365,92201710,92249316,92277467,92552147,92689187,92971150,93042516,93289787,93371785,93642093,93849904,94318067,94412000,94435653,94466372,94509085,94543466,94586747,94666980,94896892,95121707,95167296,95387987,95441147,95679971,95693208,95700577,95924138,96136117,96182027,96234707,96246685,96291861,96503553,96628787,96646216,97345875,97384638,98124642,98286256,98373885,98418371,98441906,98505532,98648987,98904467,99398988,99405606,99438371,99716627,99769473,99792347,99894568,...,64121278351060813644637471126798190238985303183793552658913022055310096275183241119923175393012126323187474138292819802432685553838395272822287745517711544237808278954924849195345693156079596276657809205647388973608913422386230058556996490046515133679960953782321806261786073115879805749321026385521025664836421673502179196322817211870686702031015218122553514983390952790245330902824260474969706051673850876209448701835050296360350388611126497189449777086969558762878576972935523620652260139068428539292638375473930375360224835984606498196712509974804859859264203077823929962404998936736542177801772553635506893148636419691335832976287857419497655961998806099779829400478218667738486367922853997474788018891931567925920507109557890538740111007250329415281832348971005920715040734024594182070399318902541460464017692224855626775278491546236395242379047321801274931796413744968923793238877224006975605099221072745094785906990688934172470681490850545177378573161114965629694754658877226285680311810523968173063017066052357859885602944648059626238434198000588601875892169033208046841478817788646969272599114765601809032667591988259495023201535815836387251625911248175455276077093960028598415746048606943305325600192429039996974036571005926734054772466605327025491567343301019773645541957122785225931878124301726857647767042656923806461869100248625331884975024568411700211136314426032469204733672511699798778896437984497001311744764835000531114722540756743513760688953561698335487287677006672693344391477202460908411773429837775447294501198380483082808300128416327772553479379024603667914083405594004457020528078476319150058383467696319960585928539688674421416183998007695252286398523548144491006277897155640761500710901994288946638065004376714109475835390809899583927619763002380234975710246990257944017627523456527822054593628915212108031425297023269531742021690187175281659974300641352899973532756713328721102037608065753817532537087140843509591830429272736716373431174578331891110285054827327763727269255116845434035188584973093327719024666069230408261780395988520191811470789039261058398459779264049675597299863965139593668548811957108146496900444738746677418601315541709342974219711289347745893371564282192185666466965627723440605412031946679508518658376795304876094499842698341867676998303323387485083051762014899066912617966277450874139439654955799999935998814163574704108327496581944982913686226505531916997522092852533678793166128118724400694223664415785534558919552817713486497729388778221141534297342042304140387629166103664001875443180962738943203158205037169946423501549344366897865185507594671044643439954604684418159731308124351125789203972917226572881282826349914849115426729423323643173169119947361347922094566844352874310371873686860898149316960792480155447988475836679948599849821353751888109143998211317141972828607402995609058306114952787955235935669988089616981505608471351428074357642752474933659213333843113219661082426125646725980929357986190010119450036866379323196323081713786893250301717137619444421496997813776024944056032467670517991292370956040835084215561974668629380360279506586251697435565465750668294775773952412801801412949811606962727587443788948541925100374889107931370537235810360361977303454618309219471762022400653060229088716691158856672046233590702098560741083216304831156673444252559740194413144592879404758302336628664537014863520635283977545276206505033070871605889297440612425925028016140763738691088245865935378044588602228593121987104940626071593659665975878757894424265474826058840910440255340831138310412384374452285778399726029839530058353888111366637005345438413625004388170405784779429530417354608941295249289762831799568007574245232985828815855404027620514877265590398954988930583832012669688278622742019921}
23629 196811914688486264336498305138109510498732988237999287211611370293413540165243: {23629,47254,188984,212607,1204059,1628607,2148419,3069170,3139199,3635786,3656915,3683004,3799439,3988907,4171359,4388298,4484570,4789379,4932191,5069915,5193980,5215379,5381484,5427770,5617514,6083898,6232776,6284379,6513324,6750458,6767747,6841970,7011873,7054307,7186715,7620539,7891595,8025020,8210364,8624058,8826026,9254728,9469914,9597467,9630024,9668210,9731519,10060547,10411569,10833777,11423852,11601852,11752959,11938058,12033539,12394725,12427187,12554668,12591039,12993131,13221040,13636754,13676159,13902170,14372210,14755625,14873670,14920595,15806747,15865248,15934719,15952924,16234907,16682604,17182984,17190770,17246652,17486714,17706750,17722115,17848404,17904714,17935240,18017499,18068219,18595619,18849099,18887200,19254239,19330857,19461386,19537370,20177145,20455391,20509707,20511179,20628924,21041759,21248100,21266538,21522288,22466248,22610915,22647887,22664640,23012925,23250866,23303807,23309884,23407706,23444844,23721899,24172499,24175616,24212574,24233439,24429916,24482339,24547120,24948698,24981020,25274529,25283099,25497720,26565170,26766719,26997256,27024467,27133098,27197568,27261465,27293291,27349994,27474458,27615510,27801980,28187291,28684935,28798874,29078896,29211899,29319626,29375579,29456544,29940947,29977224,30088725,30371913,30387784,30576986,30597264,31327247,31754111,31878204,32094640,32445759,32454125,32467058,32645819,32701019,32713758,33138612,33362376,33439580,33724377,34186257,34421922,34454954,34711226,34899880,34974770,35299659,35320031,36106470,36273599,36481715,36525839,36717386,37466459,37532673,37653674,38012572,38238170,38513568,38549915,38944950,38953407,39071420,39262365,39358299,39447496,40111034,40127496,40235356,40479145,40571679,40697925,40907306,41062847,41164259,41379519,41541280,41640491,41712424,41879856,41885180,41969724,42079946,42373466,42449714,42832185,43052831,43327764,43363115,43411120,43778058,44378433,44439818,44508467,44753210,45004107,45097689,45113771,45143433,45687664,45885804,46105595,46159979,46234559,46259898,46603658,46733940,46885704,46926477,47010207,47114838,47572319,47879819,48574974,48736556,48837510,48840626,48842315,48873887,49410399,49849536,50262216,50448059,50561906,50748047,50779898,50930234,51398622,52035738,52068268,52093344,52179770,52448579,52746417,52796858,52936595,52996107,53109467,53687725,53703852,53965247,54944252,55326714,55340186,55376859,55466699,56018546,56080728,56544993,56788634,56823146,57354879,57479080,57497699,57827350,58418834,58539099,58605012,58610778,58661210,58906979,60508479,60579779,61100219,62615724,63090819,63204266,63256539,63502826,63523914,63599305,64328968,64425270,64431039,64663965,64861331,65704796,65816315,65895249,66049370,66178365,66774207,67303871,68054399,68373347,68621786,68720288,68720907,68974896,69392820,69856595,69934984,70185539,70285859,70393452,70528715,70590256,71120296,71447666,71749468,72097187,72196139,72370089,72497210,72541034,72542915,72615359,72832739,73569107,74019008,74383240,75058319,75300956,75892715,76145651,76319166,76696750,77003884,77093210,77310324,77596758,77598479,77832328,78446725,78676857,78721247,78979578,79017098,79259244,79279388,79414038,79501247,79688831,80010333,80287707,80550458,80659379,80729906,81027386,81126620,81815259,82118666,82139570,82439176,82577739,82610500,83271384,83273906,83480459,83681145,83731557,83827914,84043739,84480159,84565439,84608891,84634458,85619019,85842107,85870139,85935212,85998207,86000474,86098346,86451059,86996652,87051498,87407747,87561369,88268799,88355848,88872092,89259888,89329691,89354044,89923019,90275474,90576172,90719306,90856150,90875519,91071258,91284159,91441466,91815626,91820099,92036100,92312114,92511852,92744073,93662925,93680307,93806591,93864287,94136070,94206849,94478588,95136554,95407707,95593379,95687354,95750987,96849347,97220570,97351944,97676210,98171840,98264845,98381939,98567484,99132600,99133707,99400329,99671999,99680425,99907120,...,85495037801414418192849961502397586985313737578391403545217362740413461700244321493230900524016168430916632184390426403243580738451193697096383660690282058983744371939899798927127590874772795035543745607529851964811884563181640078075995320062020178239947938376429075015714764154506407665761368514028034219781895564669572261763756282494248936041353624163404686644521270386993774537099013966626274735565134501612598269113400395147133851481501996252599702782626078350504769297247364827536346852091238052390184500631907167146966447979475330928950013299739813145685604103765239949873331915648722903735696738180675857531515226255114443968383809892663541282665074799706439200637624890317981823897138663299717358522575423901227342812743854051653481343000439220375776465294674560953387645366125576093865758536721947285356922966474169033704655394981860323172063095735033242395218326625231724318502965342634140132294763660126381209320918578896627575321134060236504764214819954172926339545169635047573749080698624230750689421403143813180803926197412834984578930667451469167856225377610729121971757051529292363465486354135745376890122651012660030935381087781849668834548330900607034769458613371464554328064809257740434133589905386662632048761341235645406363288807102700655423124401359698194055942830380301242504165735635810197022723542565075282492133664833775846633366091215600281515085901376625606311563348933065038528583979329335082326353113334041486296721008991351680918604748931113983050236008896924459188636269947877882364573117033929726001597840644110411066837888437030071305838699471557218777874125339276027370771301758866744511290261759947447904719584899228554911997343593669715198031397525988008370529540854348667614535992385262184086672502285479301113854413199445236826350669840313300946995987010592023503364608703762739458171886949477375233729364359375656028920249567042213299067521803866631377008951104961469383477421005090043382782854458012789107239030315621831241566104442521480380073103103684969692340155793912046918113297457770292032888092307211015707194651360255748627718719014744531279705685399567463066485286852791558065082609477528662533926318328903224801754055612457298959615052463661191162085709589580888622620836964587473882709262239344691544502393739834792666456931122490235997737764516646777402349353198755883490621703267832185919539941066666581331752218099605477769995442593310551581635340709222663362790470044905057554837491632534258964885887714046078559403756951315330305851704294855379063122723072187183505554804885335833924241283651924270877606716226595231335399125822530486914010126228059524586606139579224212975077499134834385605297222968763841710435133219798820568972564431524230892159929815130562792755792470499080495831582481197532422614389973540597317967782239931466466428471669184145525330948422855963771476537327478744408153270383940314580893317452822642007477961801904099143523669966578212284445124150959548109901500862301307905810648253346825933382488505764261764108951715857667068956183492592561995997085034699925408043290227357321723161274721113445620749299558172507147039342115002263247420621000891059701031936550402401883933082142616970116591718598055900133833185477241827382981080480482636404606157745625962349363200870746972118288921545142229394978120936131414321444288406441542231259003412986925884192790505873011069782171552716019818027513711970060368275340044094495474519063254149901233370688187684984921450994487913837392784802971457495982806587501428791546221301171677192565687299768078454547253673787774851080549845832603047704532968039786040077805184148488849340460584551500005850893874379705906040556472811921726999053017109066090676765660310647771754473872036827353169687453865273318574111776016892917704830322693228}
23630 197508529692748970956427041777517637134024488137513236518462824309806436993477: {70881,165361,236230,283476,731569,872941,897142,1368742,1578721,1605412,1719661,2171476,2216614,2875174,3157174,3345094,3685261,3720742,4189942,4565014,4603755,4662769,4910672,5453679,5524506,5561812,5851064,6156214,6492475,6582447,6726855,7175312,7790970,7849741,8072226,8097887,8111864,8141655,8310368,8379172,8426271,8487814,8684432,8812129,9125847,9231814,9349164,9769986,9770989,9881974,10031275,10044301,10125687,10262955,10590061,10716742,10726321,10947152,11270641,11498744,11542369,11568410,12012694,12037530,12315546,12626552,12659494,12840032,12936087,13166689,13239039,13301581,13840429,13882092,14109421,14204871,14243809,14279815,14319094,14445036,14502315,14779174,15035111,15422614,15469136,15670612,15693335,15698134,16248742,16250989,16526300,16707142,16788052,17135778,17402778,17580109,17907087,18628054,18770161,18832002,19428781,19449142,19657967,19831560,19941155,19995814,20359942,20455131,20853255,21153664,21246292,21359974,21478730,21558315,22243472,22310505,22419050,22435249,22824589,22995536,23609000,23622599,23797872,23872952,23929386,23988721,24023332,24504241,24980134,25023906,25132132,25250614,25403629,25444034,25701094,25774476,25786155,25869978,26230071,26241142,26331094,26560125,26589311,26772606,26857071,26902860,27050134,27346276,27505232,27588742,27678454,27947494,27953869,28082810,28330800,28355384,28395574,28696384,29137355,29192079,29306055,29596081,30219520,30537395,30683900,30943386,31226275,31259792,31698934,31872150,31899807,32283432,32311252,32347489,32595889,32844001,33298054,33699372,33746570,33996960,34361254,34516559,34572721,34626694,34752475,34818529,34876299,34964826,35111559,35157142,35167266,35798881,36177464,36263424,36318861,36348620,36498371,36644874,36652909,36820680,37009174,37139341,37423047,37449094,37471530,37984730,38246580,38471089,39073549,39117142,39275392,39847755,39905254,39913969,39969632,39976706,40118300,40342534,40495884,40699647,40750861,40796352,40870129,41024991,41211687,41215894,41390374,41423265,41702970,41739142,41799475,42174742,42504272,42522934,43198311,43261012,43593421,43618344,43624850,43828429,43859387,43979439,44184816,44260054,44297581,44483168,44866534,44965836,45465421,45581676,45645142,45814369,45865479,45895896,45930541,46046641,47066212,47515715,47817306,47887174,47894449,48124129,48141960,48700587,48839275,49004134,49070637,49268209,49309370,49433014,49707918,49951201,50043564,50159370,50289574,50294195,50631601,51351424,51632883,51647341,51682431,51926600,51937876,52066839,52140530,52209121,52321261,52349820,52356475,52462155,52477732,53019814,53274934,53503328,54095572,54159705,54263900,54991021,55076079,55141414,55172692,55395334,55542001,55839808,55959632,55981489,56200801,56287847,56325142,56480511,57018858,57075169,57109580,57168742,57357255,57770352,58370744,58417425,58607130,58935094,59171244,59348461,59885041,60005476,60130252,60166551,60191244,60353034,60920695,61181072,61193111,61360959,61446214,61679864,61766474,62196742,62224609,62230259,62311920,62514272,62540941,62568636,62680276,62819784,62827770,62954586,63066721,63119919,63276529,63560199,63674571,63799789,63859942,64008589,64766632,64991646,65085335,65116680,65151841,65185894,65599414,65667087,65880532,66342742,66466048,66594289,66659727,67016288,67129815,67208161,67819441,68103287,68124109,68400742,68531496,68680315,68828706,69380984,69389847,69457792,69738061,69905487,69938509,70100910,70328556,70367014,70530454,70661476,70672257,70737421,70936429,71135149,71432689,71605136,71828401,71848850,71998534,72134279,72222961,72714541,72862461,73104834,73217974,73256265,73260939,73768952,73835812,74223578,74372449,74514742,74774304,74856109,75393324,75842859,76169847,76200781,76395351,76452214,76473172,76582381,77097933,77311367,77436769,77625841,77658454,78052132,78053607,78059734,78102402,78139942,78140016,78147704,78269655,78847789,78941281,79021174,79195287,80057569,80411210,80519629,80555778,80677972,80887981,80979889,81016774,81414694,81621229,81653254,82129942,82130995,82259041,82416378,82606054,82990071,83010279,83073901,83487632,83972461,84027819,84061921,84121092,84342052,84698552,84952561,85182951,85234719,85306801,85686742,85900360,85908052,86218620,86741025,86799469,86943574,86973709,87178774,87418730,87570454,87628251,87648742,87840589,87860332,87907518,87916167,87991815,88039942,88237820,88271329,88357261,88900370,89032276,89211142,89686835,90378742,90844774,91111727,91542742,91627876,91659347,91852534,91966528,92007334,92217671,92479729,92523760,92726509,92780374,92979050,93054541,93640151,93857936,93923586,94126195,94193581,94596961,94677421,94806399,95089894,95254239,95285871,95557729,95703334,95796301,96239254,96254855,96271501,96493452,96637905,97290410,97385014,97448161,97613734,98451142,98527174,98531761,98557194,98608621,98685409,98838769,99016619,99068269,99074055,99099235,99752881,...,128242556702121627289274942253596380477970606367587105317826044110620192550366482239846350786024252646374948276585639604865371107676790545644575491035423088475616557909849698390691386312159192553315618411294777947217826844772460117113992980093030267359921907564643612523572146231759611498642052771042051329672843347004358392645634423741373404062030436245107029966781905580490661805648520949939412103347701752418897403670100592720700777222252994378899554173939117525757153945871047241304520278136857078585276750947860750720449671969212996393425019949609719718528406155647859924809997873473084355603545107271013786297272839382671665952575714838995311923997612199559658800956437335476972735845707994949576037783863135851841014219115781077480222014500658830563664697942011841430081468049188364140798637805082920928035384449711253550556983092472790484758094643602549863592827489937847586477754448013951210198442145490189571813981377868344941362981701090354757146322229931259389509317754452571360623621047936346126034132104715719771205889296119252476868396001177203751784338066416093682957635577293938545198229531203618065335183976518990046403071631672774503251822496350910552154187920057196831492097213886610651200384858079993948073142011853468109544933210654050983134686602039547291083914245570451863756248603453715295534085313847612923738200497250663769950049136823400422272628852064938409467345023399597557792875968994002623489529670001062229445081513487027521377907123396670974575354013345386688782954404921816823546859675550894589002396760966165616600256832655545106958758049207335828166811188008914041056156952638300116766935392639921171857079377348842832367996015390504572797047096288982012555794311281523001421803988577893276130008753428218951670781619799167855239526004760469951420493980515888035255046913055644109187257830424216062850594046539063484043380374350563319948601282705799947065513426657442204075216131507635065074174281687019183660858545473432746862349156663782220570109654655527454538510233690868070377169946186655438049332138460816523560791977040383622941578078522116796919558528099351194599727930279187337097623914216292993800889477493354837202631083418685948439422578695491786743128564384371332933931255446881210824063893359017037316753590609752188999685396683735353996606646774970166103524029798133825235932554901748278879309911599999871997628327149408216654993163889965827372453011063833995044185705067357586332256237448801388447328831571069117839105635426972995458777556442283068594684084608280775258332207328003750886361925477886406316410074339892847003098688733795730371015189342089286879909209368836319462616248702251578407945834453145762565652699829698230853458846647286346338239894722695844189133688705748620743747373721796298633921584960310895976951673359897199699642707503776218287996422634283945657214805991218116612229905575910471871339976179233963011216942702856148715285504949867318426667686226439322164852251293451961858715972380020238900073732758646392646163427573786500603434275238888842993995627552049888112064935341035982584741912081670168431123949337258760720559013172503394871130931501336589551547904825603602825899623213925455174887577897083850200749778215862741074471620720723954606909236618438943524044801306120458177433382317713344092467181404197121482166432609662313346888505119480388826289185758809516604673257329074029727041270567955090552413010066141743211778594881224851850056032281527477382176491731870756089177204457186243974209881252143187319331951757515788848530949652117681820880510681662276620824768748904571556799452059679060116707776222733274010690876827250008776340811569558859060834709217882590498579525663599136015148490465971657631710808055241029754531180797909977861167664025339376557245484039842}
23631 198207594313452309377663844260951807130353055584318348146131634871405364661608: {47258,94508,354345,377968,425214,1345713,2006765,2053113,2408118,2714345,2856689,3257214,3324921,4296838,4312761,4413761,4735761,5017641,5119681,5581113,5828953,6138340,6278398,6284913,6847521,6952265,7097881,7271572,7313830,7366008,7598878,7977814,8286759,8342718,8517073,8776596,8969140,9234321,9578758,9864382,10061401,10139830,10387960,10430758,10473965,10762968,10855540,11048233,11235028,11342461,11686455,12108339,12167796,12465552,12568758,12731721,13026648,13500916,13535494,13683940,13739561,13847721,13889209,14023746,14108614,14373430,14654979,14822961,15241078,15291089,15783190,16050040,16075113,16420728,17248116,17352615,17652052,18019041,18056295,18391769,18473319,18509456,18680701,18830033,18939828,18989241,19194934,19260048,19336420,19463038,19588265,20121094,20657875,20823138,20888833,20985065,21228461,21478641,21489281,21667554,22168761,22223681,22847704,23036849,23133921,23203704,23505918,23547201,23876116,24067078,24174553,24373113,24789450,24810961,24854374,25060713,25109336,25182078,25469441,25703667,25986262,26104167,26442080,26557865,27026761,27273508,27352318,27804340,27942081,28014029,28248003,28744420,29173713,29511250,29747340,29841190,29993721,30029165,30539913,31401481,31415165,31613494,31655281,31730496,31869438,31905848,31955993,32039961,32218095,32249533,32469814,32648593,33202241,33312253,33365208,33628575,34182845,34365968,34381540,34493304,34973428,35413500,35444230,35696808,35809428,35870480,35894079,36034998,36136438,36194813,37191238,37470201,37535859,37698198,37774400,37875921,38166051,38354875,38435921,38508478,38551641,38661714,38804967,38922772,39074740,39361713,39496641,39585869,40158909,40354290,40389065,40575201,40910782,41019414,41022358,41257848,41383113,41517681,41921241,42083518,42124215,42496200,42533076,42593361,43044576,44512249,44619641,44932496,45221830,45295774,45329280,45435775,46007113,46025850,46415079,46501732,46607614,46619768,46815412,46889688,47443798,47548401,47808225,48344998,48351232,48425148,48450329,48466878,48859832,48964678,49094240,49897396,49947081,49962040,50147875,50549058,50566198,50619855,50995440,51074401,51145901,51541881,51940041,51993233,52447239,52735713,52750899,53130340,53533438,53969881,53994512,54048934,54076265,54266196,54395136,54522930,54586582,54699988,54948916,54967311,55231020,55513761,55603960,56173641,56207295,56374582,56670803,56921489,56977095,57369870,57597748,58157792,58423798,58615721,58639252,58675713,58751158,58832765,58913088,59857881,59881894,59954448,59965059,60177450,60513801,60708361,60743826,60775568,61153972,61194528,61823841,61992193,62085561,62554455,62608713,62654494,63262113,63508222,63756408,63784401,64189280,64521809,64547833,64891518,64908250,64922345,64934116,65291638,65402038,65427516,65437275,65597165,66277224,66390081,66566033,66724752,66879160,67299801,67448754,67571801,67619465,67829875,68372514,68379241,68467713,68843844,68909908,68965865,69422452,69799760,69949540,70599318,70640062,71386975,71725959,71830761,72140849,72212940,72547198,72963430,73051678,73434772,73506201,73964055,74111233,74149521,74561877,74932918,75006845,75025921,75065346,75162815,75182921,75239055,75307348,75434361,76025144,76476340,77027136,77099830,77889900,77906814,78142840,78210795,78350345,78423533,78524730,78716598,78894992,79529721,79860073,79912401,80222068,80254992,80393993,80470712,80579209,80958290,81143358,81395850,81814612,82125694,82328518,82350665,82712121,82759038,83082560,83093001,83280982,83424848,83759712,83770360,83939448,84159892,84330733,84487713,84746932,84899428,85528287,85664370,85753113,86105662,86655528,86726230,86822240,87476989,87556116,87910695,88326845,88402641,88756866,88879636,89016934,89039027,89506420,90008214,90195378,90227542,90286866,90529551,91375328,91771608,92142841,92169321,92211190,92294765,92319958,92413201,92469118,92519796,92649711,93034201,93207316,93295113,93467880,93771408,93852954,94020414,94229676,94241655,94431879,95144638,95591465,95759638,95789913,97149948,97473112,97487469,97565165,97675020,97681252,97684630,97747774,97778841,97799233,98399121,98740201,98820798,99514113,99699072,...,192363835053182440933912413380394570716955909551380657976739066165930288825549723359769526179036378969562422414878459407298056661515185818466863236553134632713424836864774547586037079468238788829973427616942166920826740267158690175670989470139545401039882861346965418785358219347639417247963079156563076994509265020506537588968451635612060106093045654367660544950172858370735992708472781424909118155021552628628346105505150889081051165833379491568349331260908676288635730918806570861956780417205285617877915126421791126080674507953819494590137529924414579577792609233471789887214996810209626533405317660906520679445909259074007498928863572258492967885996418299339488201434656003215459103768561992424364056675794703777761521328673671616220333021750988245845497046913017762145122202073782546211197956707624381392053076674566880325835474638709185727137141965403824795389241234906771379716631672020926815297663218235284357720972066802517412044472551635532135719483344896889084263976631678857040935431571904519189051198157073579656808833944178878715302594001765805627676507099624140524436453365940907817797344296805427098002775964778485069604607447509161754877733744526365828231281880085795247238145820829915976800577287119990922109713017780202164317399815981076474702029903059320936625871368355677795634372905180572943301127970771419385607300745875995654925073705235100633408943278097407614201017535099396336689313953491003935234294505001593344167622270230541282066860685095006461863031020018080033174431607382725235320289513326341883503595141449248424900385248983317660438137073811003742250216782013371061584235428957450175150403088959881757785619066023264248551994023085756859195570644433473018833691466922284502132705982866839914195013130142328427506172429698751782859289007140704927130740970773832052882570369583466163780886745636324094275891069808595226065070561525844979922901924058699920598270139986163306112824197261452597611261422530528775491287818210149120293523734995673330855164481983291181807765350536302105565754919279983157073998207691224785341187965560575434412367117783175195379337792149026791899591895418781005646435871324439490701334216240032255803946625128028922659133868043237680114692846576556999400896883170321816236095840038525555975130385914628283499528095025603030994909970162455249155286044697200737853898832352622418318964867399999807996442490724112324982489745834948741058679516595750992566278557601036379498384356173202082670993247356603676758658453140459493188166334663424602892026126912421162887498310992005626329542888216829609474615111509839270504648033100693595556522784013133930319863814053254479193924373053377367611918751679718643848479049744547346280188269970929519507359842084043766283700533058622931115621060582694447950882377440466343965427510039845799549464061255664327431994633951425918485822208986827174918344858363865707807009964268850944516825414054284223072928257424800977640001529339658983247278376940177942788073958570030358350110599137969588969245141360679750905151412858333264490993441328074832168097403011553973877112868122505252646685924005888141080838519758755092306696397252004884327321857238405404238849434820888182762331366845625775301124667323794111611707431081085931910363854927658415286067201959180687266150073476570016138700772106295682223249648914493470020332757679220583239433778638214274907009885993611044590561905851932635828619515099212614817667892321837277775084048422291216073264737597806134133765806685779365961314821878214780978997927636273683272796424478176522731320766022493414931237153123356857335199178089518590175061664334099911016036315240875013164511217354338288591252063826823885747869288495398704022722735698957486447566212082861544631796771196864966791751496038009064835868226059763}
23632 198909117108445213518407122308387701120619498774754348861706648455921414632764: {70887,118135,141762,330722,472460,543007,566952,637821,684487,1463138,1672831,1745882,1794284,1954567,2376631,2737484,3157442,3210824,3439322,3612177,4058407,4342952,4433228,4885821,5451967,5750348,6146047,6314348,6445257,6690188,6838327,7252831,7370522,7441484,7672925,8217487,8379884,9089465,9130028,9207510,9325538,9417597,9821344,9999631,10272727,10907358,10970745,11049012,11123624,11211425,11398317,11702128,11966721,12312428,12514077,12984950,13122847,13164894,13453710,13569425,13662127,14043785,14350624,14368137,14796573,15139207,15209745,15581940,15646137,15699482,16144452,16195774,16223728,16283310,16620736,16758344,16852542,16876145,16975628,17104925,17368864,17404831,17624258,17670007,18251694,18463628,18698328,18727831,18853137,19539972,19541978,19649647,19763948,19991741,20043631,20062550,20088602,20251374,20303241,20525910,20698831,21035619,21162921,21180122,21352231,21433484,21452642,21560145,21613087,21894304,21970669,22065065,22541282,22861617,22913047,22997488,23042647,23084738,23136820,23674785,23947831,24025388,24075060,24170525,24592231,24631092,25253104,25318988,25680064,25872174,25875631,26131447,26333378,26478078,26603162,27406207,27680858,27764184,27917617,28218842,28409742,28487618,28559630,28638188,28673767,28792401,28800127,28890072,29004630,29194557,29558348,29845145,30070222,30181641,30310831,30561607,30845228,30938272,31234707,31341224,31386670,31396268,31410269,31935727,32497484,32501331,32501978,33052600,33177367,33414284,33576104,33672007,34091885,34271556,34288687,34411807,34755425,34805556,35160218,35258877,35271631,35639047,35814174,35930525,36100617,37184175,37256108,37281561,37540322,37664004,37708831,37773117,38857562,38898284,38979393,39315934,39517831,39663120,39882310,39991628,40719884,40792297,40910262,41028477,41706510,41904631,42260167,42307328,42492584,42719948,42752353,42957460,42976925,43116630,43716785,44266875,44486944,44496847,44613847,44621010,44761785,44838100,44870498,45430831,45649178,45779887,45991072,46012231,47218000,47245198,47400247,47420241,47595744,47745904,47804157,47858772,47977442,48046664,48530801,48653465,48704721,48843425,49008482,49234807,49960268,50047812,50264264,50501228,50807258,50888068,51163831,51402188,51548952,51572310,51727231,51739956,51833821,52460142,52482284,52662188,53120250,53166345,53178622,53406631,53545212,53629327,53714142,53805720,54052497,54100268,54204657,54692552,54849007,55010464,55069831,55177484,55356908,55786857,55894988,55907738,56165620,56388727,56547297,56661600,56710768,56716831,56791148,57044287,57392768,57479887,57762717,57992571,58127165,58274710,58384158,58519265,58612110,59103127,59192162,59425831,59747887,60439040,60531435,60816727,61074790,61348447,61366173,61367800,61529121,61533537,61886772,62371745,62452550,62519584,63125277,63352567,63397868,63457327,63744300,63799614,64566864,64622504,64694978,65191778,65227231,65688002,65743831,66412925,66522001,66596108,67078567,67398744,67493140,67832745,67943661,67993920,68299831,68374985,68686145,68722508,69007447,69033118,69038775,69145442,69253388,69504950,69611167,69637058,69752598,69911421,69929652,70223118,70314284,70334532,70411873,71165697,71597762,71802631,71997185,72354928,72517497,72526848,72637722,72697240,72700317,72996742,73081207,73276831,73289748,73299065,73305818,73447017,73641360,74018348,74056447,74278682,74846094,74898188,74943060,75024487,75823587,75849297,75969460,76442465,76493160,76653631,76942178,77318407,78147098,78234284,78550784,79291567,79663807,79695510,79756687,79810508,79827938,79939264,79942231,79953412,80236600,80300157,80685068,80991768,81073401,81167645,81399294,81501722,81592704,81740258,81781831,81784395,81879873,82049982,82055287,82237231,82418887,82423374,82431788,82509607,82745729,82780748,82846530,83405940,83478284,83598950,84219607,84349484,84561873,84931831,85008544,85045868,85288973,85374631,85991527,86054805,86137385,86396622,86522024,86778065,87186842,87236688,87249700,87436925,87635697,87656858,87718774,87958878,88126737,88369632,88520108,88595162,88595407,88966336,89278831,89448967,89733068,89822841,89931672,90266175,90295327,90930842,91115739,91119469,91163352,91290284,91628738,91634527,91730958,91791792,91793465,91861082,92049247,92093282,92214631,93690127,93981741,94132424,94134185,95031430,95262333,95461831,95595425,95634612,95700727,95774348,95788898,96152441,96248258,96255631,96283920,96649831,96885487,97198687,97337277,97362375,97401174,97678550,97937457,98008268,98103057,98141274,98208631,98439967,98536418,98618740,98866028,98977231,99415836,99510967,99738631,99902402,...,256485113404243254578549884507192760955941212735174210635652088221240385100732964479692701572048505292749896553171279209730742215353581091289150982070846176951233115819699396781382772624318385106631236822589555894435653689544920234227985960186060534719843815129287225047144292463519222997284105542084102659345686694008716785291268847482746808124060872490214059933563811160981323611297041899878824206695403504837794807340201185441401554444505988757799108347878235051514307891742094482609040556273714157170553501895721501440899343938425992786850039899219439437056812311295719849619995746946168711207090214542027572594545678765343331905151429677990623847995224399119317601912874670953945471691415989899152075567726271703682028438231562154960444029001317661127329395884023682860162936098376728281597275610165841856070768899422507101113966184945580969516189287205099727185654979875695172955508896027902420396884290980379143627962755736689882725963402180709514292644459862518779018635508905142721247242095872692252068264209431439542411778592238504953736792002354407503568676132832187365915271154587877090396459062407236130670367953037980092806143263345549006503644992701821104308375840114393662984194427773221302400769716159987896146284023706936219089866421308101966269373204079094582167828491140903727512497206907430591068170627695225847476400994501327539900098273646800844545257704129876818934690046799195115585751937988005246979059340002124458890163026974055042755814246793341949150708026690773377565908809843633647093719351101789178004793521932331233200513665311090213917516098414671656333622376017828082112313905276600233533870785279842343714158754697685664735992030781009145594094192577964025111588622563046002843607977155786552260017506856437903341563239598335710479052009520939902840987961031776070510093826111288218374515660848432125701188093078126968086760748701126639897202565411599894131026853314884408150432263015270130148348563374038367321717090946865493724698313327564441140219309311054909077020467381736140754339892373310876098664276921633047121583954080767245883156157044233593839117056198702389199455860558374674195247828432585987601778954986709674405262166837371896878845157390983573486257128768742665867862510893762421648127786718034074633507181219504377999370793367470707993213293549940332207048059596267650471865109803496557758619823199999743995256654298816433309986327779931654744906022127667990088371410134715172664512474897602776894657663142138235678211270853945990917555112884566137189368169216561550516664414656007501772723850955772812632820148679785694006197377467591460742030378684178573759818418737672638925232497404503156815891668906291525131305399659396461706917693294572692676479789445391688378267377411497241487494747443592597267843169920621791953903346719794399399285415007552436575992845268567891314429611982436233224459811151820943742679952358467926022433885405712297430571009899734636853335372452878644329704502586903923717431944760040477800147465517292785292326855147573001206868550477777685987991255104099776224129870682071965169483824163340336862247898674517521441118026345006789742261863002673179103095809651207205651799246427850910349775155794167700401499556431725482148943241441447909213818473236877887048089602612240916354866764635426688184934362808394242964332865219324626693777010238960777652578371517619033209346514658148059454082541135910181104826020132283486423557189762449703700112064563054954764352983463741512178354408914372487948419762504286374638663903515031577697061899304235363641761021363324553241649537497809143113598904119358120233415552445466548021381753654500017552681623139117718121669418435765180997159051327198272030296980931943315263421616110482059509062361595819955722335328050678753114490968079684}
23633 199613106665278908105416016200078487074079374733845119178943122843806301663903: {23633,94516,189016,212643,496083,590575,708690,755936,850428,2194707,2242855,2618823,2691426,2809471,3376087,3421855,3800083,4013530,4106226,4736163,4816236,4933027,5158983,5216263,5428690,5541535,5713378,5970547,6514428,6649842,6820111,7187935,7526167,7892935,8362735,8593676,8625522,8827522,9224863,9301855,9471522,9733171,10035282,10239362,10474855,10635031,11055783,11162226,11412535,11657906,12276680,12556796,12569826,13695042,13811265,13904530,13988307,14195762,14543144,14627660,14663551,14732016,15197756,15292387,15390535,15728527,15809431,15955628,16237663,16361037,16573518,16685436,17034146,17553192,17938280,18071287,18468642,18909847,19157516,19477425,19728764,19747341,20122802,20180565,20279660,20775920,20861516,20947930,21045331,21219535,21230263,21491107,21525936,21711080,21735727,22096466,22470056,22684922,23079535,23307763,23372910,23549223,23627671,23725927,24216678,24293661,24335592,24424965,24704935,24931104,25137516,25278813,25287391,25396423,25463442,25471603,26053296,26436387,26791855,26822311,27001832,27070988,27225367,27367880,27377541,27423571,27479122,27695442,27778418,28016407,28047492,28217228,28715983,28746860,28921025,29221687,29309958,29312967,29379091,29380567,29645922,29946031,30031735,30093825,30132903,30377061,30482156,30582178,30788865,31566380,31610191,31648735,31770183,32100080,32108191,32150226,32178963,32841456,33039247,33811923,34496232,34627107,34705230,35304104,35797735,36038082,36112590,36783538,36946638,36947935,37018912,37108387,37181011,37361402,37660066,37879656,37978482,38389868,38439187,38472247,38520096,38556535,38672840,38691007,38808261,38926076,39176530,39245335,39500067,39518623,39717117,39904743,40242188,40621855,40951711,41315750,41516887,41521287,41646276,41767855,41777666,41970130,42040831,42061987,42328263,42456922,42614613,42731427,42755827,42762871,42839445,42957282,42978562,43335108,43506945,43981231,44337522,44447362,45105333,45695408,45732391,46073698,46267842,46407408,46570135,47011836,47080005,47094402,47752232,47855983,48134156,48349106,48622855,48746226,48752967,49228531,49578900,49621922,49708748,49815127,49989535,50121426,50218672,50364156,50899855,50938882,51150247,51381271,51407334,51791731,51972524,51997651,52208334,52732303,52740327,52884160,53115730,53399935,53640823,53696825,53721261,54053522,54547016,54611407,54704636,55608680,55884162,56028058,56047625,56310483,56496006,56544691,57397747,57488840,58286343,58347426,58851031,58973901,59022500,59494680,59682380,59698147,59823465,59987442,60058330,61068703,61079826,61365393,62450335,62559765,62612071,62802962,62830330,63126535,63226988,63310562,63460992,63610085,63738876,63811696,63911986,64079922,64252735,64436190,64499066,64527331,64674945,64939628,65297186,65602855,65827735,66404482,66624506,66730416,66931515,67257150,67305747,67625335,68365690,68473767,68731936,68763080,68971855,68986608,69196135,69868735,69946856,70207025,70827000,70867797,70888460,70988935,71393616,71618856,71740960,71788158,71966163,72069996,72272876,72389626,72654307,72911191,73512723,73963423,74382476,74397331,74940402,75071718,75396396,75548800,75706771,75751842,76210887,76253047,76332102,76709750,76871842,77016956,77103282,77323428,77358465,77609934,77845544,78149480,78690213,78723426,78993282,79171738,79219711,79247335,79680375,79746931,79767933,79857583,80001127,80317818,80571213,80708580,80778130,81150402,81473107,81821564,82038828,82044716,82365871,82515696,82766226,83035362,83245135,83842482,83861607,84167036,84248430,84366425,84802531,84992400,85066152,85186722,85257367,85903135,86089152,86566735,87412065,87576237,87649831,87892855,87902803,87918165,88464367,88788243,88852543,89024498,89173927,89239282,89864992,90353527,90443660,90591548,90658560,90871550,90891283,91612185,91836031,92014226,92051700,92522935,92830158,93003464,93215228,93239536,93622735,93630824,93678825,93779376,94667251,94887596,94961825,95096802,95616450,95699421,96465427,96552211,96689996,96702464,96850296,96900658,96933756,97042467,97719664,97787667,97792855,97929356,98188480,98287951,98532003,99763135,99794792,99894162,99924080,99941765,...,384727670106364881867824826760789141433911819102761315953478132331860577651099446719539052358072757939124844829756918814596113323030371636933726473106269265426849673729549095172074158936477577659946855233884333841653480534317380351341978940279090802079765722693930837570716438695278834495926158313126153989018530041013075177936903271224120212186091308735321089900345716741471985416945562849818236310043105257256692211010301778162102331666758983136698662521817352577271461837613141723913560834410571235755830252843582252161349015907638989180275059848829159155585218466943579774429993620419253066810635321813041358891818518148014997857727144516985935771992836598678976402869312006430918207537123984848728113351589407555523042657347343232440666043501976491690994093826035524290244404147565092422395913415248762784106153349133760651670949277418371454274283930807649590778482469813542759433263344041853630595326436470568715441944133605034824088945103271064271438966689793778168527953263357714081870863143809038378102396314147159313617667888357757430605188003531611255353014199248281048872906731881815635594688593610854196005551929556970139209214895018323509755467489052731656462563760171590494476291641659831953601154574239981844219426035560404328634799631962152949404059806118641873251742736711355591268745810361145886602255941542838771214601491751991309850147410470201266817886556194815228402035070198792673378627906982007870468589010003186688335244540461082564133721370190012923726062040036160066348863214765450470640579026652683767007190282898496849800770497966635320876274147622007484500433564026742123168470857914900350300806177919763515571238132046528497103988046171513718391141288866946037667382933844569004265411965733679828390026260284656855012344859397503565718578014281409854261481941547664105765140739166932327561773491272648188551782139617190452130141123051689959845803848117399841196540279972326612225648394522905195222522845061057550982575636420298240587047469991346661710328963966582363615530701072604211131509838559966314147996415382449570682375931121150868824734235566350390758675584298053583799183790837562011292871742648878981402668432480064511607893250256057845318267736086475360229385693153113998801793766340643632472191680077051111950260771829256566999056190051206061989819940324910498310572089394401475707797664705244836637929734799999615992884981448224649964979491669897482117359033191501985132557115202072758996768712346404165341986494713207353517316906280918986376332669326849205784052253824842325774996621984011252659085776433659218949230223019678541009296066201387191113045568026267860639727628106508958387848746106754735223837503359437287696958099489094692560376539941859039014719684168087532567401066117245862231242121165388895901764754880932687930855020079691599098928122511328654863989267902851836971644417973654349836689716727731415614019928537701889033650828108568446145856514849601955280003058679317966494556753880355885576147917140060716700221198275939177938490282721359501810302825716666528981986882656149664336194806023107947754225736245010505293371848011776282161677039517510184613392794504009768654643714476810808477698869641776365524662733691251550602249334647588223223414862162171863820727709855316830572134403918361374532300146953140032277401544212591364446499297828986940040665515358441166478867557276428549814019771987222089181123811703865271657239030198425229635335784643674555550168096844582432146529475195612268267531613371558731922629643756429561957995855272547366545592848956353045462641532044986829862474306246713714670398356179037180350123328668199822032072630481750026329022434708676577182504127653647771495738576990797408045445471397914972895132424165723089263593542393729933583502992076018129671736452119526}
23634 200319571601309325595338083933875040300437164314737197472974610989806040231309: {118145,141774,165389,236270,259853,283524,661444,731693,944920,967313,1063035,1086014,1133904,1249793,1275642,1368974,1578989,1672973,1719953,2283089,2423693,2926276,3219089,3345662,3491764,3588568,3909134,4037139,4753262,5474968,6020295,6146573,6159339,6314884,6421648,6469889,6878644,7161389,7224354,7299473,7851089,8116814,8143035,8570067,8685904,8866456,8905133,9771642,9974763,10000493,10046033,10682753,10742095,10818989,10903934,11363213,11500696,11634893,12292094,12628589,12628696,12725251,12890514,12938283,12988973,13168973,13241283,13303889,13380376,13663313,13676654,13977389,14111873,14201489,14207283,14505662,14514893,14738513,14741044,14882968,15052923,15185153,15345850,15359043,15452753,15695995,15853613,16434974,16653389,16743339,16759768,16786433,17317889,17486859,17671553,18178930,18260056,18284575,18415020,18651076,18773453,18835194,18854739,18861389,18997195,19519889,19642688,19661299,19944535,19999262,20089133,20542563,20545454,20613389,20856795,21267089,21293643,21814716,21941490,22098024,22247248,22265933,22422850,22439213,22569089,22796634,22915073,23087873,23404256,23626603,23933442,23946895,23949953,23992973,24594413,24624856,24637313,24660955,24851693,24860277,25028154,25279853,25349575,25551219,25877933,25920593,25969900,26076895,26245694,26329788,26516993,26644589,26772113,26907420,26942033,27138850,27324254,27702963,27705089,28087570,28701248,28736274,28844813,29593146,29601389,30184203,30278414,30313553,30419490,30891091,31163880,31292274,31398964,31421895,32288904,32391548,32447456,32566620,32808593,32932589,33144699,33241472,33427853,33516688,33675053,33705084,33752290,33838735,33951256,34027383,34086413,34209850,34578989,34660973,34737728,34809662,34906733,35059365,35193089,35248516,35271535,35340014,35397389,35683073,35933575,36009089,36325017,36415889,36503388,36927256,37121227,37227089,37396656,37455662,37706274,37752653,38102695,38115713,38195163,38357393,38960333,39079944,39083956,39299294,39457975,39527896,39921293,39983482,40087262,40125100,40177204,40240589,40502748,40519553,40606482,40638989,40837889,41051820,41218683,41397662,41433389,41543163,41667627,41783203,41948033,42071238,42303533,42325842,42360244,42704462,42737153,42866968,42905284,43012589,43120290,43226174,43601489,43788608,43941338,43964937,44130130,44468883,45082564,45435053,45473873,45723234,45822893,45826094,45873267,45994976,46016513,46055213,46085294,46169476,46248593,46273640,47349570,47728639,47865089,47895662,47980013,47987335,48050776,48133133,48150120,48225339,48341050,48657595,48820589,48934913,49184462,49262184,49277453,50036333,50149889,50302735,50506208,50637976,51360128,51394253,51732113,51744348,51751262,51844589,52057845,52262894,52405889,52666756,52956156,53206324,54057123,54168885,54240307,54812414,55001489,55075073,55175307,55295633,55361716,55419957,55528368,55835234,55992173,56042103,56284589,56437684,56490099,56758673,56819484,56967723,56975236,57086093,57119260,57276376,57347534,57354583,57584802,57600254,57780144,57919889,58009260,58389114,58764795,59116696,59431553,59690290,59896589,60140444,60167695,60182093,60363282,60431489,60609389,60621662,61070993,61123214,61203499,61389773,61690456,61876544,61973625,62135935,62307053,62469414,62623313,62666499,62682448,62773340,62792536,62820538,62955195,63358733,63685383,63871454,64435923,64467843,64965655,64994968,65002662,65003956,65233613,65440493,66105200,66354734,66506283,66671043,66828568,67119233,67152208,67221389,67344014,67900589,68114851,68183770,68340353,68380795,68543112,68577374,68823614,69110547,69350033,69401763,69510850,69611112,69751889,69818753,70319213,70320436,70517754,70543262,70641603,70651853,70751489,70917389,71016833,71278094,71628348,71644973,71842733,71861050,72201234,72335873,72499853,72523659,72729089,72827213,73119339,73284173,73316753,73707089,73778125,74368350,74432883,74512216,74563122,74602975,74838989,75080644,75182139,75256913,75328008,75417662,75546234,75705473,75897233,76408323,76661393,77073389,77111001,77231489,77704589,77715124,77796568,77958786,78312501,78631868,79033735,79035662,79326240,79330733,79423889,79673595,79764620,79950413,79981313,79983256,80505389,80597633,80965889,81080283,81174535,81271889,81378031,81439768,81584594,81638033,81790253,81820524,81881489,81926971,82056954,82094093,82276013,82427393,82548353,83413020,83809262,83826243,84042087,84520334,84585089,84614656,84744009,84940673,84970253,84985168,85383533,85439896,85504706,85914920,85953850,86000513,86233260,86293073,86788589,86991953,87310733,87320443,87433570,87513089,87521139,87599693,87859073,88452331,88533750,88610575,88973888,88993694,89227694,89242020,89288273,89316653,89523570,89676200,89740996,89981163,90087495,90341095,90837293,90861662,91255553,91298356,91477889,91559774,91619739,91838093,91982144,92024462,92252033,92389613,92801153,92978095,93862733,94204443,94245495,94267793,94436000,94490396,94697873,94800494,94840482,94965843,95191488,95232593,95491808,95608314,95717544,95724979,95867979,95954884,96093328,96119883,96160603,96271195,96292433,96345089,96654285,96748599,96922193,97061602,97306930,97409442,97469453,97599233,97686850,97780589,97790407,97945779,98016964,98219393,98469614,98681489,99013613,99606723,99749633,99774893,99825389,99920536,99936759,...,577091505159547322801737240141183712150867728654141973930217198497790866476649170079308578537109136908687267244635378221894169984545557455400589709659403898140274510594323642758111238404716366489920282850826500762480220801476070527012968410418636203119648584040896256356074658042918251743889237469689230983527795061519612766905354906836180318279136963102981634850518575112207978125418344274727354465064657885885038316515452667243153497500138474705047993782726028865907192756419712585870341251615856853633745379265373378242023523861458483770412589773243738733377827700415369661644990430628879600215952982719562038337727777222022496786590716775478903657989254898018464604303968009646377311305685977273092170027384111333284563986021014848660999065252964737536491140739053286435366606221347638633593870122873144176159230023700640977506423916127557181411425896211474386167723704720314139149895016062780445892989654705853073162916200407552236133417654906596407158450034690667252791929895036571122806294715713557567153594471220738970426501832536636145907782005297416883029521298872421573309360097822723453392032890416281294008327894335455208813822342527485264633201233579097484693845640257385741714437462489747930401731861359972766329139053340606492952199447943229424106089709177962809877614105067033386903118715541718829903383912314258156821902237627986964775221115705301900226829834292222842603052605298189010067941860473011805702883515004780032502866810691623846200582055285019385589093060054240099523294822148175705960868539979025650510785424347745274701155746949952981314411221433011226750650346040113184752706286872350525451209266879645273356857198069792745655982069257270577586711933300419056501074400766853506398117948600519742585039390426985282518517289096255348577867021422114781392222912321496158647711108750398491342660236908972282827673209425785678195211684577534939768705772176099761794810419958489918338472591784357792833784267591586326473863454630447360880571204987019992565493445949873545423296051608906316697264757839949471221994623073674356023563896681726303237101353349525586138013376447080375698775686256343016939307613973318472104002648720096767411839875384086767977401604129713040344078539729670998202690649510965448708287520115576667925391157743884850498584285076809092984729910487365747465858134091602213561696497057867254956894602199999423989327472172336974947469237504846223176038549787252977698835672803109138495153068519606248012979742069811030275975359421378479564499003990273808676078380737263488662494932976016878988628664650488828423845334529517811513944099302080786669568352039401790959591442159763437581773119160132102835756255039155931545437149233642038840564809912788558522079526252131298851101599175868793346863181748083343852647132321399031896282530119537398648392183766992982295983901854277755457466626960481524755034575091597123421029892806552833550476242162852669218784772274402932920004588018976949741835130820533828364221875710091075050331797413908766907735424082039252715454238574999793472980323984224496504292209034661921631338604367515757940057772017664423242515559276265276920089191756014652981965571715216212716548304462664548286994100536877325903374001971382334835122293243257795731091564782975245858201605877542061798450220429710048416102316318887046669748946743480410060998273037661749718301335914642824721029657980833133771685717555797907485858545297637844453003676965511833325252145266873648219794212793418402401297420057338097883944465634644342936993782908821049818389273434529568193962298067480244793711459370070572005597534268555770525184993002299733048108945722625039493533652063014865773756191480471657243607865486196112068168207096872459342698636248584633895390313590594900375254488114027194507604678179289}
23635 201028520563799873934878677035299163006902216042579187869018203217723611069893: {47266,189032,212661,354405,378032,425286,826805,992166,1181150,1417380,1511872,1629021,1700856,1913463,2053461,3139997,3657845,3989921,4364705,4389414,4485710,4790597,5018493,5237646,5382852,5618942,5829941,5863701,6752174,6843710,7056101,7129893,7600166,7622477,7758149,7893605,8027060,8045213,8212452,8598305,8894561,9472326,9632472,9866054,10063109,10310141,10317966,10432526,10836531,10857380,11050109,11083070,11153813,11426756,11707829,11941094,12175221,12568673,13022597,13028856,13299684,13640222,14375870,14657463,14664797,14832449,15052334,15785870,15810773,15977549,16355901,16725470,16813253,17187352,17251044,17361509,17655044,18072821,18426305,18438141,18449726,18603710,18683873,18943044,19335771,19466342,20070564,20478724,20514981,20949710,21270062,21546749,21758493,22111566,22324452,22348001,22825070,23018775,23313845,23315812,23727941,24428609,24553360,24652461,25113592,25139652,25398581,26407397,27031349,27268395,27390084,27622530,27809060,27976614,28252791,28391524,29086288,29255320,29327102,29383061,29464032,29707349,29948573,29977877,29998893,30395512,30584774,30781070,30818181,31406813,31457054,31612877,31618862,31911256,32255009,32311349,32462375,32475326,32722074,32825309,32912235,33147036,33370872,33634275,34068292,34194951,34322549,34534721,34586909,35106384,35329037,35735969,35876560,35900163,36142574,36937284,37508597,37542231,37819694,38315032,38954850,38988653,39248705,39368541,39457528,39494682,39521981,40245604,40361130,40489435,40559320,40708275,40986381,41551840,41723032,41895860,42044429,42090662,42131355,42439070,42460526,42982214,43051872,43104411,43422160,43471454,43542101,43562177,44060645,44192932,44308229,44389719,44940112,45369844,45417621,45467201,45629235,45736277,46159070,46615526,46745820,46938411,47098446,47255342,47451854,47793797,48433356,48587322,48671184,48849930,48854945,48886349,49409870,49709621,49744013,49862208,50116829,50156375,50221505,50275032,50557626,50574782,50628435,50792846,50926884,50943206,51314775,51385637,51727109,52106592,52214493,52872774,52950305,53010021,53123009,53250653,53583710,53631605,53644622,53645381,53979149,54003664,54141976,54450734,54735760,54755082,54847142,54943469,54958244,55390884,55556836,55692821,56032814,56094984,56183493,56353205,56434456,56559411,56870597,57431966,57493720,57711845,57842050,58179173,58333349,58443374,58474997,58619916,58625934,58758182,58761134,58948941,59291844,59892062,59975223,60063470,60130893,60187650,60265806,60754122,60909723,60964312,61164356,61577730,61721813,62096493,63106857,63132760,63220382,63297470,63488763,63540366,64056693,64200160,64216382,64300452,64357926,64680435,64839261,65198189,65682912,65833445,65912007,66078494,66130817,66195195,66507905,67623846,67833701,68071997,68584851,68739141,68992464,69127941,69202145,69254214,69410460,69978197,69985349,70547105,70608208,71024355,71219045,71259797,71399075,71595470,71843493,72076164,72225180,72511575,73567076,73776693,73893276,73895870,74037824,74216774,74274017,74362022,74722804,74759909,75043181,75175555,75320132,75759312,75956964,76259573,76779736,76878374,76944494,77040192,77113070,77345680,77382014,77415137,77616522,77626893,77852152,77939549,78353060,78394341,78466675,78490670,79000134,79037246,79434234,79809486,80259773,80484376,81243710,81254945,81903422,82218621,82631500,83033774,83042574,83292552,83535710,83555332,83752851,83903621,83940260,84081662,84123974,84656526,84809813,84913844,85229226,85462854,85511654,85525742,85678890,85864181,85914564,85957124,86021301,86377203,86400381,86670216,87013890,87288917,87430469,87583671,87808289,87900545,87962462,88377149,88539677,88675044,88894724,89054119,89535435,89953829,90210666,90544923,90932493,90956321,91390816,91464782,91684821,91843997,92147396,92158829,92535684,92814816,92931077,93140270,93447569,93704121,93850805,94023672,94160010,94188804,94230807,94246373,94675469,95323853,95398853,95504464,95711966,95807181,96268312,96560597,96698212,96874589,97143905,97245710,97492452,97503993,97505934,97543253,97816229,98289835,98457062,99157800,99243844,99384509,99417496,99532101,99630254,99705775,99979070,...,769455340212729763735649653521578282867823638205522631906956264663721155302198893439078104716145515878249689659513837629192226646060743273867452946212538530853699347459098190344148317872955155319893710467768667683306961068634760702683957880558181604159531445387861675141432877390557668991852316626252307978037060082026150355873806542448240424372182617470642179800691433482943970833891125699636472620086210514513384422020603556324204663333517966273397325043634705154542923675226283447827121668821142471511660505687164504322698031815277978360550119697658318311170436933887159548859987240838506133621270643626082717783637036296029995715454289033971871543985673197357952805738624012861836415074247969697456226703178815111046085314694686464881332087003952983381988187652071048580488808295130184844791826830497525568212306698267521303341898554836742908548567861615299181556964939627085518866526688083707261190652872941137430883888267210069648177890206542128542877933379587556337055906526715428163741726287618076756204792628294318627235335776715514861210376007063222510706028398496562097745813463763631271189377187221708392011103859113940278418429790036647019510934978105463312925127520343180988952583283319663907202309148479963688438852071120808657269599263924305898808119612237283746503485473422711182537491620722291773204511883085677542429202983503982619700294820940402533635773112389630456804070140397585346757255813964015740937178020006373376670489080922165128267442740380025847452124080072320132697726429530900941281158053305367534014380565796993699601540995933270641752548295244014969000867128053484246336941715829800700601612355839527031142476264093056994207976092343027436782282577733892075334765867689138008530823931467359656780052520569313710024689718795007131437156028562819708522963883095328211530281478333864655123546982545296377103564279234380904260282246103379919691607696234799682393080559944653224451296789045810390445045690122115101965151272840596481174094939982693323420657927933164727231061402145208422263019677119932628295992830764899141364751862242301737649468471132700781517351168596107167598367581675124022585743485297757962805336864960129023215786500512115690636535472172950720458771386306227997603587532681287264944383360154102223900521543658513133998112380102412123979639880649820996621144178788802951415595329410489673275859469599999231985769962896449299929958983339794964234718066383003970265114230404145517993537424692808330683972989426414707034633812561837972752665338653698411568104507649684651549993243968022505318171552867318437898460446039357082018592132402774382226091136052535721279455256213017916775697492213509470447675006718874575393916198978189385120753079883718078029439368336175065134802132234491724462484242330777791803529509761865375861710040159383198197856245022657309727978535805703673943288835947308699673379433455462831228039857075403778067301656217136892291713029699203910560006117358635932989113507760711771152295834280121433400442396551878355876980565442719003620605651433333057963973765312299328672389612046215895508451472490021010586743696023552564323354079035020369226785589008019537309287428953621616955397739283552731049325467382503101204498669295176446446829724324343727641455419710633661144268807836722749064600293906280064554803088425182728892998595657973880081331030716882332957735114552857099628039543974444178362247623407730543314478060396850459270671569287349111100336193689164864293058950391224536535063226743117463845259287512859123915991710545094733091185697912706090925283064089973659724948612493427429340796712358074360700246657336399644064145260963500052658044869417353154365008255307295542991477153981594816090890942795829945790264848331446178527187084787459867167005984152036259343472904239052}
23636 201739962230024556353788131396329689205836252616286996934693431791023280867253: {70899,165403,236290,283548,307099,330778,472540,519706,567048,637929,873163,1014499,1322888,1463386,1488249,1720099,1771725,1861003,1889840,1934626,2126070,2172028,2267808,2283283,2499586,2551284,2737948,2985643,3157978,3266083,3345946,3439906,3826099,4566178,4847386,5852552,6438178,6584121,6691324,6728565,6983528,7177136,7818268,7856469,8074278,8428413,8539723,9499843,9506524,10033825,10046899,10128261,10183483,10265565,10729099,10949936,11400249,12040590,12293146,12318678,12629768,12843296,12939778,13305043,13571725,13757288,13978603,14208489,14247523,14283445,14322778,14448708,14598946,14784499,14799081,15038933,15454099,15476949,15648789,15702178,16233628,16286070,16624605,17140134,17371808,17732912,17810266,17911641,18907003,19433899,19543284,19565443,19949526,20000986,20092066,20460333,20876923,21268963,21365506,21484190,21563805,21637978,21807868,21920923,21974393,22068805,22571083,22578501,22726426,23001392,23269786,23678805,23995099,24124123,24510763,24584188,24639499,25088205,25257178,25257392,25450502,25598405,25781028,25876566,25922899,25977946,26337946,26482566,26596073,26607778,26760752,27326626,27353308,27674589,27905565,27922349,27954778,28223746,28402978,28414566,29011324,29029786,29144765,29199513,29477026,29482088,29765936,30105846,30370306,30691700,30718086,30905506,31391990,31415593,31424565,31707226,31905093,32107483,32852899,32869948,32976883,33167349,33306778,33486678,33519536,33525653,33572866,34089499,34237605,34525337,34635778,34761325,34973718,35196283,35343106,35441443,35489405,36357860,36507653,36520112,36569150,36830040,37149499,37270963,37302152,37546906,37670388,37709478,37722778,37994390,38843443,39039778,39285376,39322598,39889070,39998524,40178266,40881403,41085126,41090908,41226778,41433795,41713590,41964921,42534178,42585365,42587286,43016563,43629432,43870541,43882980,43990653,44196048,44494496,44531866,44845700,44878426,45138178,45478099,45593268,45830146,45877161,45943363,46059499,46171605,46175746,46808512,47185581,47216899,47253206,47374229,47428293,47866884,47893790,47899906,47907883,47985946,48712989,49083111,49188826,49249712,49274626,49321910,49380149,49703386,49720554,50056308,50307005,50559706,50699150,50759083,51102438,51755866,51841186,51939800,52153790,52223923,52336099,52369825,52491388,52659576,53033986,53289178,53343773,53544226,53814840,53884066,54213861,54277700,54648508,55006723,55241165,55405926,55410178,56107243,56175140,56326483,56654803,56712305,56729541,57402496,57418363,57472548,57689626,58432275,59186292,59202778,59242023,59902363,60368406,60437323,60541695,60556828,60627106,60838980,61782182,62327760,62559163,62584548,62797928,62843790,63135993,63658605,63690789,64102181,64473321,64577808,64783096,64894912,65133240,65207181,65617186,65865178,65894203,66289398,66482944,66855706,67033376,67182269,67330099,67350106,67410168,67504580,67677470,67782689,67902512,68054766,68120633,68172826,68419700,68697805,69157978,69238605,69321946,69446045,69475456,69619324,69813466,69859099,69923289,70118730,70386178,70423829,70497032,70543070,70647669,70680028,70794778,70883013,70957603,71177781,71255683,71366146,71867150,72018178,72244603,72343099,72650034,72831778,72834499,72880983,73006776,73274895,73324099,73854512,73909243,74114805,74242454,74454178,74793312,74878723,74911324,75264499,75412548,75505306,75745099,75836439,75862173,76189269,76205390,76231426,76390326,76414809,76455445,76605643,76714786,77270923,77920666,78159888,78167912,78598588,78915950,78965443,79055792,79309161,79842586,79966964,79989499,80174524,80250200,80354408,80375565,80466933,80481178,80544403,80912899,81004843,81005496,81039106,81212964,81277978,81675778,81676101,81920323,82103640,82132623,82270713,82437366,82795324,82866778,83086326,83335254,83550043,83566406,83896066,84049221,84088099,84142476,84234773,84607066,84651684,84720488,84979099,85408924,85474306,85733936,85810568,86025178,86147949,86240580,86452348,86763075,86826763,86990309,87088123,87202978,87577216,87665061,87882676,87929874,87938901,88137273,88141701,88260260,88385203,88471099,88937766,89326099,89838093,90095205,90165128,90281475,90398709,90870106,90947746,90951917,91131183,91446468,91645786,91652188,91746534,91958845,91989952,92033026,92110426,92170588,92338952,92366595,92497186,92547280,92591803,93166363,93403505,94150165,94699140,94708099,94788523,94830573,94946205,95310549,95457278,95588803,95730178,95733113,95791324,95827483,95960026,95974670,95986243,96101552,96266266,96300240,96324573,96450678,96536889,96682100,97315190,97480099,97641178,97791283,97869826,97941325,98368924,98524368,98554906,98564203,98641099,98717923,98947963,99117741,99785899,...,1154183010319094645603474480282367424301735457308283947860434396995581732953298340158617157074218273817374534489270756443788339969091114910801179419318807796280549021188647285516222476809432732979840565701653001524960441602952141054025936820837272406239297168081792512712149316085836503487778474939378461967055590123039225533810709813672360636558273926205963269701037150224415956250836688549454708930129315771770076633030905334486306995000276949410095987565452057731814385512839425171740682503231713707267490758530746756484047047722916967540825179546487477466755655400830739323289980861257759200431905965439124076675455554444044993573181433550957807315978509796036929208607936019292754622611371954546184340054768222666569127972042029697321998130505929475072982281478106572870733212442695277267187740245746288352318460047401281955012847832255114362822851792422948772335447409440628278299790032125560891785979309411706146325832400815104472266835309813192814316900069381334505583859790073142245612589431427115134307188942441477940853003665073272291815564010594833766059042597744843146618720195645446906784065780832562588016655788670910417627644685054970529266402467158194969387691280514771483428874924979495860803463722719945532658278106681212985904398895886458848212179418355925619755228210134066773806237431083437659806767824628516313643804475255973929550442231410603800453659668584445685206105210596378020135883720946023611405767030009560065005733621383247692401164110570038771178186120108480199046589644296351411921737079958051301021570848695490549402311493899905962628822442866022453501300692080226369505412573744701050902418533759290546713714396139585491311964138514541155173423866600838113002148801533707012796235897201039485170078780853970565037034578192510697155734042844229562784445824642992317295422217500796982685320473817944565655346418851571356390423369155069879537411544352199523589620839916979836676945183568715585667568535183172652947726909260894721761142409974039985130986891899747090846592103217812633394529515679898942443989246147348712047127793363452606474202706699051172276026752894160751397551372512686033878615227946636944208005297440193534823679750768173535954803208259426080688157079459341996405381299021930897416575040231153335850782315487769700997168570153618185969459820974731494931716268183204427123392994115734509913789204399998847978654944344673949894938475009692446352077099574505955397671345606218276990306137039212496025959484139622060551950718842756959128998007980547617352156761474526977324989865952033757977257329300977656847690669059035623027888198604161573339136704078803581919182884319526875163546238320264205671512510078311863090874298467284077681129619825577117044159052504262597702203198351737586693726363496166687705294264642798063792565060239074797296784367533985964591967803708555510914933253920963049510069150183194246842059785613105667100952484325705338437569544548805865840009176037953899483670261641067656728443751420182150100663594827817533815470848164078505430908477149999586945960647968448993008584418069323843262677208735031515880115544035328846485031118552530553840178383512029305963931143430432425433096608925329096573988201073754651806748003942764669670244586486515591462183129565950491716403211755084123596900440859420096832204632637774093339497893486960820121996546075323499436602671829285649442059315961666267543371435111595814971717090595275688906007353931023666650504290533747296439588425586836804802594840114676195767888931269288685873987565817642099636778546869059136387924596134960489587422918740141144011195068537111541050369986004599466096217891445250078987067304126029731547512382960943314487215730972392224136336414193744918685397272497169267790780627181189800750508976228054389015209356358578}
23637 202453905307371444388679665610823549942874784122787897533034378107474439986189: {94532,354435,378064,425322,496167,590675,708810,756064,779559,850572,1157527,1653610,1984332,2195079,2362300,2715035,2834760,2901939,3023744,3189105,3258042,3401712,3422435,3749379,3826926,4106922,4414883,4736967,5018919,5120983,5159859,5971559,6110587,6279994,6821267,6849267,7271079,7315690,7979842,8364155,8519239,8729410,8778828,8971420,9507979,9581194,9657267,9772835,10036986,10475292,10765704,11051047,11237884,11659882,11727402,11883155,12037627,12111417,13181779,13504348,13687420,14112202,14259786,15200332,15244954,15294983,15516298,15787210,16054120,16090426,16424904,16577443,17196610,17789122,18060885,18439719,18478017,18685459,18944652,19264944,19409667,19732108,20126218,20292035,20518147,20620282,20635932,20865052,21233867,21484167,21673062,21714760,21898419,22100218,22166140,22307626,22853512,23042723,23415658,23553267,23631683,23882188,24350442,24429105,25137346,25475927,25710201,25796827,26045194,26057712,26599368,26715399,27259835,27280444,27302563,28021163,28423643,28720859,28751740,29314926,29329594,29664898,29924289,30001479,30104668,30138099,30730235,31409479,31571740,31621546,31955098,32048259,32113643,32226285,32257747,32456967,32639383,32711802,33210707,33450940,33626506,34089639,34191635,34374704,34502088,34723018,34904679,35310088,35332039,35602403,36145642,36264155,36852610,36876282,36899452,37207420,37367746,37479187,37885767,37886088,38175753,38364625,38671542,38793547,38814849,38932684,38966919,39506919,39723849,39911667,40141128,40292339,40957448,40989939,41029962,41087435,41899420,41932167,42335619,42540124,42604467,42621849,43093498,43094183,43516986,43544679,44215539,44223132,44648904,44696002,44920679,45158769,45378923,45447325,45555459,45650140,46037550,46077129,46077499,46167143,46358259,46627690,46631624,47087985,47455882,47560839,48462683,48687139,48857218,48890503,49106720,49304922,49960167,49998155,50227184,50230017,50279304,50359299,50797162,51363635,51953667,52460577,52814794,53014659,53127523,54062698,54536790,54780168,54853725,54948187,55245060,55618120,55953228,56057125,56320359,56505582,56564217,56584167,56685209,56783048,56936003,56991585,58172576,58427303,58510640,58559667,58630667,58654204,58766122,58788379,58928064,58983897,59414698,59833605,59897146,59955754,59997786,60267399,60791024,61169548,61562140,61627689,61636362,61684903,61840167,62570385,62813626,62914108,63225754,63237724,63801267,63822512,63880929,64510018,64622698,64924750,64950652,65251463,65444148,65614235,65650618,65824470,66064163,66098579,66294072,66741744,66797799,67268550,67317639,67707267,67847125,68136584,68310635,68389902,68396923,68645098,68745219,68957627,69069442,69113363,69173818,69263619,70212768,70218925,70310107,70658074,70691563,70879809,71471938,71753120,71800326,71840685,71849859,71978919,72285148,73783239,73874568,73911939,73982865,74130427,74555079,74580831,75017194,75084247,75084462,75202259,75639388,75696035,75839559,76048725,76630064,76653657,77633799,77761779,77909700,77977306,78230685,78497410,78737082,78894487,78915056,78989364,79043962,79396363,79550979,79933767,80316339,80491208,80722260,80796583,80826099,80978870,81118640,81416550,81972762,83103680,83108889,83115267,83446064,83791720,84088858,84181324,84262710,84380725,84878140,84921052,85524625,85964428,86103744,86208822,86534439,86844320,86942908,87024155,87084202,87124354,88121290,88350035,88385864,88616458,88779438,88804167,88855943,89547067,89880224,90059927,90552609,90739688,90835242,90934402,90940659,91258470,91472554,92166823,92318140,92673273,93111067,93231052,93491640,93639155,93876822,94196892,94265685,94510684,94852459,94903708,95587594,96081283,96866712,96883003,97174644,97342368,97699860,97709890,97772698,98005987,98248235,98425779,98765947,98797767,98819740,99419242,99434097,99488026,99706663,99715523,99724416,99958705,...,1731274515478641968405211720423551136452603185962425921790651595493372599429947510237925735611327410726061801733906134665682509953636672366201769128978211694420823531782970928274333715214149099469760848552479502287440662404428211581038905231255908609358945752122688769068223974128754755231667712409067692950583385184558838300716064720508540954837410889308944904551555725336623934376255032824182063395193973657655114949546358001729460492500415424115143981348178086597721578269259137757611023754847570560901236137796120134726070571584375451311237769319731216200133483101246108984934971291886638800647858948158686115013183331666067490359772150326436710973967764694055393812911904028939131933917057931819276510082152333999853691958063044545982997195758894212609473422217159859306099818664042915900781610368619432528477690071101922932519271748382671544234277688634423158503171114160942417449685048188341337678968964117559219488748601222656708400252964719789221475350104072001758375789685109713368418884147140672701460783413662216911279505497609908437723346015892250649088563896617264719928080293468170360176098671248843882024983683006365626441467027582455793899603700737292454081536920772157225143312387469243791205195584079918298987417160021819478856598343829688272318269127533888429632842315201100160709356146625156489710151736942774470465706712883960894325663347115905700680489502876668527809157815894567030203825581419035417108650545014340097508600432074871538601746165855058156767279180162720298569884466444527117882605619937076951532356273043235824103467240849858943943233664299033680251951038120339554258118860617051576353627800638935820070571594209378236967946207771811732760135799901257169503223202300560519194353845801559227755118171280955847555551867288766045733601064266344344176668736964488475943133326251195474027980710726916848483019628277357034585635053732604819306117316528299285384431259875469755015417775353073378501352802774758979421590363891342082641713614961059977696480337849620636269888154826718950091794273519848413665983869221023068070691690045178909711304060048576758414040129341241127096327058769029050817922841919955416312007946160290302235519626152260303932204812389139121032235619189012994608071948532896346124862560346730003776173473231654551495752855230427278954189731462097242397574402274806640685089491173601764870683806599998271967982416517010924842407712514538669528115649361758933096507018409327415485459205558818744038939226209433090827926078264135438693497011970821426028235142211790465987484798928050636965885993951466485271536003588553434541832297906242360008705056118205372878774326479290312745319357480396308507268765117467794636311447700926116521694429738365675566238578756393896553304797527606380040589545244250031557941396964197095688847590358612195945176551300978946887951705562833266372399880881444574265103725274791370263089678419658500651428726488558007656354316823208798760013764056930849225505392461601485092665627130273225150995392241726300723206272246117758146362715724999380418940971952673489512876627103985764894015813102547273820173316052993269727546677828795830760267575268043958945896715145648638149644913387993644860982301610631977710122005914147004505366879729773387193274694348925737574604817632626185395350661289130145248306948956661140009246840230441230182994819112985249154904007743928474163088973942499401315057152667393722457575635892913533359011030896535499975756435800620944659382638380255207203892260172014293651833396903933028810981348726463149455167820303588704581886894202440734381134378110211716016792602805667311575554979006899199144326837167875118480600956189044597321268574441414971730823596458588336204504621290617378028095908745753901686170940771784701125763464342081583522814034537867}
23638 203170358533446505339741204112999936453863304936735892980031410787268966559167: {118165,141798,259897,330806,472580,567096,614198,637983,661556,684661,945080,1039412,1063215,1134096,1275858,1673257,1746326,2028998,2095861,2377237,2480415,2517817,2645776,2926772,2952875,2976498,3440198,3543450,3722006,3779680,3869252,4199161,4252140,4344056,4478377,4535616,4566566,4887063,4999172,5102568,5475896,5592361,5740389,5971286,6160383,6286261,6315956,6532166,6563317,6691892,6879812,7254697,7392757,7652198,8081977,8357161,9132356,9419991,9694772,10411861,10973535,11093161,11214275,11705104,11969763,12043957,12856117,12876356,13094115,13168242,13382648,13457130,13800361,13967056,14047355,14203957,14354272,14371791,15055479,15544597,15636536,15712938,16078837,16148556,16856826,16880435,17079446,17109275,17409397,17489823,17591103,18732757,18864697,18999686,19000415,19013048,19996823,20067650,20093798,20180137,20256522,20366966,20531130,20704297,21096661,21168303,21357877,21389679,21458198,21488377,21899872,22800498,22867431,23048761,23274447,23680815,24081180,24135639,24586292,24637356,24665135,24727477,25259536,25686592,25794915,25879556,26081315,26610086,26683683,27143450,27514576,27540661,27707675,27957206,28416978,28495046,28566890,28645556,28807861,28897416,29197892,29568998,29598162,29852735,30077866,30189327,30318997,30444457,30896327,30908198,30930423,30953898,31297578,31320661,31404356,32467256,32509593,32572140,32814517,33150327,33249210,33461439,34100555,34280268,34421161,34667257,34743616,35123487,35281237,35403817,35465824,35620532,35823282,35837767,35939675,36525663,37127519,37476661,37630835,37706019,37814006,38867798,39047737,39067791,39086568,39130886,39464675,39899052,40001972,40184132,40726057,40802671,40920666,41322037,41753846,41813675,42537926,42731012,42968380,43127610,43275956,43615736,43805497,43841846,43948786,43972389,43994391,44040361,44137610,44497347,44626261,44860117,45142166,45157002,45452852,46002784,46124315,46509275,46539572,47357610,47432319,47874037,47932647,47990198,48248246,48543143,48665855,49020277,49021526,49067703,49168376,49278998,49685167,50176410,50439759,50514356,50514784,50901004,51178297,51196810,51291157,51562056,51753132,51845798,51847003,51854377,51955892,52079161,52084527,52374275,52675892,52965132,53175155,53192146,53215556,53421817,53521504,53755861,54218463,54311161,54653252,54706616,55085557,55278915,55314423,55349178,55746517,55811130,55844698,55909556,56051619,56447492,56514361,56805956,56829132,57062675,57278677,58007313,58022648,58059572,58147861,58289530,58399026,58954052,58964176,59531872,59619511,59765161,60211692,60740612,61153717,61383400,61436172,61544943,61811012,61896361,62107897,62783980,62831186,62849130,63414452,63475861,63810186,64214966,64640247,65275479,65659319,65705798,65739896,65953766,66334698,66613556,66973356,67039072,67044003,67051306,67145732,68178998,68475210,68623861,68927017,69050674,69056325,69271556,69522650,69832597,69941535,69947436,70333177,70392566,70429807,70686212,70882886,70978810,71183823,72415957,72715720,73015306,73040224,73103161,73138300,73285827,73317755,73396597,73660080,73786837,73957383,74078761,74298998,74541926,74604304,75002147,75093812,75336277,75340776,75418956,75445556,75757123,75988780,76195743,76461935,76952675,77152297,77337631,77436661,77686886,78079556,78570752,78642635,78645196,79047155,79222191,79397227,79778140,79781161,79997048,80356532,81094047,81188315,81762806,81805185,81807097,81898357,82170252,82181816,82453556,82535161,82867590,83427180,83708437,83887861,83929842,84758373,85068356,85170730,85174572,85489717,85842517,86033126,86369557,87258864,87741082,87765960,87981306,88107637,88149183,88392096,88709161,88880377,88988992,89063732,89122047,89307157,89691400,89756852,89845719,89933631,89996679,90276356,90356435,90408361,90956198,91186536,91660292,91663861,91754322,91886726,92078761,92118998,92326837,92343210,92351492,92454543,92738857,93475957,93617024,93882937,94220439,94371162,94433798,94506412,94530361,94549235,94748458,94838631,94856586,95733768,95787580,95799812,95815766,95971892,96176927,96366037,96765027,96934047,97152277,97224463,97308661,97387125,97425978,97853737,98166222,98240917,98318137,98377652,98475927,98499424,98549252,98643820,98736705,98760298,99406772,99441108,99847417,99998761,...,2308366020638189291206948960564734848603470914616567895720868793991163465906596680317234314148436547634749068978541512887576679938182229821602358838637615592561098042377294571032444953618865465959681131403306003049920883205904282108051873641674544812478594336163585025424298632171673006975556949878756923934111180246078451067621419627344721273116547852411926539402074300448831912501673377098909417860258631543540153266061810668972613990000553898820191975130904115463628771025678850343481365006463427414534981517061493512968094095445833935081650359092974954933511310801661478646579961722515518400863811930878248153350911108888089987146362867101915614631957019592073858417215872038585509245222743909092368680109536445333138255944084059394643996261011858950145964562956213145741466424885390554534375480491492576704636920094802563910025695664510228725645703584845897544670894818881256556599580064251121783571958618823412292651664801630208944533670619626385628633800138762669011167719580146284491225178862854230268614377884882955881706007330146544583631128021189667532118085195489686293237440391290893813568131561665125176033311577341820835255289370109941058532804934316389938775382561029542966857749849958991721606927445439891065316556213362425971808797791772917696424358836711851239510456420268133547612474862166875319613535649257032627287608950511947859100884462821207600907319337168891370412210421192756040271767441892047222811534060019120130011467242766495384802328221140077542356372240216960398093179288592702823843474159916102602043141697390981098804622987799811925257644885732044907002601384160452739010825147489402101804837067518581093427428792279170982623928277029082310346847733201676226004297603067414025592471794402078970340157561707941130074069156385021394311468085688459125568891649285984634590844435001593965370640947635889131310692837703142712780846738310139759074823088704399047179241679833959673353890367137431171335137070366345305895453818521789443522284819948079970261973783799494181693184206435625266789059031359797884887978492294697424094255586726905212948405413398102344552053505788321502795102745025372067757230455893273888416010594880387069647359501536347071909606416518852161376314158918683992810762598043861794833150080462306671701564630975539401994337140307236371938919641949462989863432536366408854246785988231469019827578408799997695957309888689347899789876950019384892704154199149011910795342691212436553980612274078424992051918968279244121103901437685513918257996015961095234704313522949053954649979731904067515954514658601955313695381338118071246055776397208323146678273408157607163838365768639053750327092476640528411343025020156623726181748596934568155362259239651154234088318105008525195404406396703475173387452726992333375410588529285596127585130120478149594593568735067971929183935607417111021829866507841926099020138300366388493684119571226211334201904968651410676875139089097611731680018352075907798967340523282135313456887502840364300201327189655635067630941696328157010861816954299999173891921295936897986017168836138647686525354417470063031760231088070657692970062237105061107680356767024058611927862286860864850866193217850658193147976402147509303613496007885529339340489172973031182924366259131900983432806423510168247193800881718840193664409265275548186678995786973921640243993092150646998873205343658571298884118631923332535086742870223191629943434181190551377812014707862047333301008581067494592879176851173673609605189680229352391535777862538577371747975131635284199273557093738118272775849192269920979174845837480282288022390137074223082100739972009198932192435782890500157974134608252059463095024765921886628974431461944784448272672828387489837370794544994338535581561254362379601501017952456108778030418712717156}
23639 203889330676177785366468271253493952792310861076648806253963146027277342690680: {189064,212697,496209,590725,708870,756128,826945,850644,921297,992334,1181350,1299265,1417620,1512128,1559118,1701144,1913787,2315054,2619489,3043497,3307220,3658465,3801049,3968664,4390158,4464747,4724600,4791409,4836565,4934281,5160297,5217589,5315175,5430070,5583009,5669520,5803878,6047488,6248965,6378210,6516084,6803424,6844870,6849849,7057297,7498758,7528081,7623769,7653852,7894945,8213844,8364865,8599765,8829766,8956929,9227209,9473934,9798249,10037838,10241966,10319718,11415445,11478297,11631349,11709817,11943118,12118465,12191377,12221174,12480697,12559988,13642534,13681969,13698534,14542158,14631380,15813457,15959684,16095445,16435957,16636417,16728310,17038478,17364457,17458820,17557656,17942840,18075889,18398017,19015958,19162388,19314534,19545670,19752363,19831621,20073972,20185695,20464081,20950584,21531408,22102094,22475768,23044681,23319764,23454804,23569407,23633689,23731969,23766310,24075254,24222834,24432757,25107577,25285239,25619169,26363558,26411881,27008696,27232309,27374840,28224404,28408849,28499529,28519572,28723297,29224309,29388049,29953657,30101475,30140697,30384783,30400664,30489908,30550449,30589966,30732865,30796695,31032596,31574420,31767601,31966849,32108240,32116369,32180852,32187297,32349445,32849808,33154886,33213529,33859177,34200747,34328377,34393220,35578244,35742037,35806945,36121770,36207109,36289009,36497365,36879438,36956034,37117849,37370918,37889304,38163769,38529888,38819334,39255445,39464216,39599317,39790921,39915129,40252436,40584070,40715175,41036294,41240564,41271864,41658181,41730104,41935809,42467734,42625467,42742569,42766729,42850335,42968334,43022329,43071121,43346124,43429520,43796838,44200436,44332280,44353497,44397243,44525665,44615252,45116799,45160789,45707024,46085446,46179589,46362297,46430847,46682977,46831316,46946367,47106534,47263366,47592529,47764376,47868289,48466801,48700884,48858210,49827829,49873815,50002465,50230165,50274692,50769817,50774977,50929489,50951854,51420402,51593654,51804937,52090388,52115424,53198736,53413765,53430798,53710475,53734923,53909521,54094945,54350857,54519670,54560888,54561169,54605126,56042326,56721009,56816065,56847286,56940841,57441718,57503480,57522409,57855649,58174465,58301697,58629852,58635649,58659188,58696329,58866037,58942081,59329796,59457109,59713369,59848578,60002958,60209336,60276198,61380999,61460470,61815937,62630769,62818958,63142945,63143480,63243092,63626255,63806889,63910196,64096518,64227286,64452570,64515494,64639657,64691415,64913934,64944865,65004889,65278766,65423604,65762769,65844865,65923179,66069817,66206415,66421414,66519445,66901880,67253012,67463377,67713249,67735503,68179278,68316565,68383270,68749408,68857861,69004176,69050449,69446036,69627217,69809358,69886945,69997417,70559365,70620176,70664078,71007445,71036415,71204806,71909089,71985297,72291284,72372369,72528310,72574465,73532289,73692565,73705220,73752564,73798904,73918497,74414840,74735492,74958374,75264615,75771534,75772176,75925765,76080457,76351506,76729250,76795215,76999669,77070289,77263765,77343084,77587094,77629698,77768697,77865368,77933838,78075829,78479975,78755017,79013838,79268065,79447698,79788219,79823334,80282256,80584678,81285457,81679429,81914896,81979878,82059924,82174870,83023767,83266945,83716695,83767047,83798840,83864334,83932165,84671238,84710449,84824377,85080248,85208934,85243698,85784341,86186996,86188366,86339737,86589445,87033972,87089358,87434295,87598539,88357765,88431078,88446264,88705609,88875397,89297808,89368081,89392004,89841358,90317538,90757846,90894650,91110918,91300280,91422875,91708609,91859929,91889281,92075100,92154258,92154998,92334286,92716518,93255380,93258229,93263248,93867265,94175970,94246779,94273695,94306945,94911764,94985975,95121678,95634889,95715279,96322449,96925366,97301077,97374278,97599445,97714436,97781006,98213440,98306495,98479201,98558697,98609844,98930649,99502047,99722675,99724057,99920334,99996310,...,3462549030957283936810423440847102272905206371924851843581303190986745198859895020475851471222654821452123603467812269331365019907273344732403538257956423388841647063565941856548667430428298198939521697104959004574881324808856423162077810462511817218717891504245377538136447948257509510463335424818135385901166770369117676601432129441017081909674821778617889809103111450673247868752510065648364126790387947315310229899092716003458920985000830848230287962696356173195443156538518275515222047509695141121802472275592240269452141143168750902622475538639462432400266966202492217969869942583773277601295717896317372230026366663332134980719544300652873421947935529388110787625823808057878263867834115863638553020164304667999707383916126089091965994391517788425218946844434319718612199637328085831801563220737238865056955380142203845865038543496765343088468555377268846317006342228321884834899370096376682675357937928235118438977497202445313416800505929439578442950700208144003516751579370219426736837768294281345402921566827324433822559010995219816875446692031784501298177127793234529439856160586936340720352197342497687764049967366012731252882934055164911587799207401474584908163073841544314450286624774938487582410391168159836597974834320043638957713196687659376544636538255067776859265684630402200321418712293250312979420303473885548940931413425767921788651326694231811401360979005753337055618315631789134060407651162838070834217301090028680195017200864149743077203492331710116313534558360325440597139768932889054235765211239874153903064712546086471648206934481699717887886467328598067360503902076240679108516237721234103152707255601277871640141143188418756473935892415543623465520271599802514339006446404601121038388707691603118455510236342561911695111103734577532091467202128532688688353337473928976951886266652502390948055961421453833696966039256554714069171270107465209638612234633056598570768862519750939510030835550706146757002705605549517958843180727782684165283427229922119955392960675699241272539776309653437900183588547039696827331967738442046136141383380090357819422608120097153516828080258682482254192654117538058101635845683839910832624015892320580604471039252304520607864409624778278242064471238378025989216143897065792692249725120693460007552346946463309102991505710460854557908379462924194484795148804549613281370178982347203529741367613199996543935964833034021849684815425029077339056231298723517866193014036818654830970918411117637488077878452418866181655852156528270877386994023941642852056470284423580931974969597856101273931771987902932970543072007177106869083664595812484720017410112236410745757548652958580625490638714960792617014537530234935589272622895401852233043388859476731351132477157512787793106609595055212760081179090488500063115882793928394191377695180717224391890353102601957893775903411125666532744799761762889148530207450549582740526179356839317001302857452977116015312708633646417597520027528113861698451010784923202970185331254260546450301990784483452601446412544492235516292725431449998760837881943905346979025753254207971529788031626205094547640346632105986539455093355657591661520535150536087917891793430291297276299289826775987289721964603221263955420244011828294009010733759459546774386549388697851475149209635265252370790701322578260290496613897913322280018493680460882460365989638225970498309808015487856948326177947884998802630114305334787444915151271785827066718022061793070999951512871601241889318765276760510414407784520344028587303666793807866057621962697452926298910335640607177409163773788404881468762268756220423432033585205611334623151109958013798398288653674335750236961201912378089194642537148882829943461647192917176672409009242581234756056191817491507803372341881543569402251526928684163167045628069075734}
23640 204610830533919949432622680658143138844125462569103094751174474708653889243279: {165431,236330,259919,283596,307151,401591,519794,661612,731879,873311,945160,967559,1063305,1108871,1134192,1228396,1275966,1323112,1369322,1391279,1488501,1720391,1772025,1861319,1890160,1955231,2078824,2126430,2268192,2338677,2377439,2424311,2551716,2564879,3079679,3346514,3472581,3492652,3919991,4057996,4134025,4191722,4246079,4525271,4754474,4960830,5035634,5221991,5291552,5639159,5853544,5905750,5952996,6286799,6332999,6585237,6610031,6880396,7086900,7163231,7301351,7444012,7559360,7738504,8082671,8128559,8145105,8398322,8504280,8688112,8705817,8956754,9044639,9071232,9133132,9567315,9774126,9998344,10003079,10185239,10205136,10267305,10276271,10821791,10951792,11184722,11248137,11480778,11773679,11942572,12090191,12320766,12496559,12572522,12631912,13064332,13126634,13127399,13244649,13307351,13383784,13532111,13759624,13801559,13846439,14115551,14210901,14249999,14509394,14785514,14876471,15056757,15304396,15362949,15479577,15545951,15699985,16163954,16480199,16714322,16790831,16923839,17587799,17914677,17985311,18264712,18289225,18331761,18778391,18839982,18910319,19389544,19437311,19525031,19656551,19666297,19949605,20463801,20547801,20823722,20880599,21359759,21813237,21823525,21947070,22011599,22186322,22428550,22575071,23050799,23093999,23410208,23632609,23939526,23952985,24087914,24128399,24600959,24729671,24986879,25092465,25414919,25557717,25712234,25752712,26188230,26311199,26336484,26600581,26651711,26765296,26779271,26914260,27585479,27600722,27934112,27966359,28094710,28177679,28407914,28523937,28708544,28743582,28852559,28971801,28978871,29149705,29318505,30110958,30321719,30447191,30739679,31089194,31273072,31425876,32113271,32157674,32196239,32297112,32817479,32858831,32941511,33065471,33153141,33436919,33713652,33760870,33848879,34158892,34218550,34218959,34531189,34588391,34818794,34979646,35182206,35280505,35284439,35447879,35529551,35649465,35815151,36018911,36112881,36334251,36513841,36547751,37237271,37465514,37729394,37999372,38000830,38026096,38112385,38247071,38488679,38790745,38850551,39091439,39332039,39468025,39545337,39772391,39993646,40135300,40187596,40226065,40360274,40513044,40650191,40733932,40769591,41062260,41087639,41325839,41408594,41563751,41793829,42193322,42336606,42715754,42779358,42867119,42916396,42976754,42991525,43142471,43799744,43809551,43848719,43877977,44044439,44318111,44472805,44513351,44864279,44903231,45447719,45600996,45734862,45884949,45951911,46029359,46097522,46261511,46548894,47302631,47361630,47571599,47740777,47916839,47993471,48162360,48271278,48948671,49172584,49274712,49330270,49454954,49732329,50164031,50315545,50428799,50519072,50844071,51373184,51550705,51589830,51759112,51859271,52162630,52420751,52683169,53220172,53367366,53575439,53798039,54182655,54254101,54286900,54316319,54869879,55017191,55029152,55081322,55090799,55250545,55319157,55415350,55434051,55751831,55769065,55788479,55914412,56056377,56117951,56410271,56738519,56833956,56884199,56990092,57133780,57284159,57291112,57369169,57501911,57615722,57755591,57794832,58189559,58229001,58395784,58539145,58946231,59137996,59196324,59269439,59705470,59913911,60092471,60155732,60306479,60378654,60637994,60876105,60888914,61554441,61792654,61816396,61860846,61902359,61907796,61937639,62595156,62641322,62641559,62808712,62843365,63482039,63701601,64004999,64452501,64574041,64768751,64934512,65019186,65112985,65144280,65563079,65629034,65695257,65907119,66284639,66300654,66498420,66626999,66922878,67104959,67241231,67343351,67852871,68132197,68201110,68326799,68560536,68664359,68842322,68933831,69128169,69334514,69487232,69772631,69872951,69939791,70246974,70340159,70562474,70659801,70672919,70772591,70807634,70895049,70931648,70938551,71038031,71137439,71241064,71646564,71675534,71879350,72028871,72423191,72849071,73051326,73287315,73323985,73403951,73631759,74162245,74215751,74255038,74445217,74953322,75054719,75261670,75343871,75412038,75628012,75728399,76143671,76398551,76427781,76621151,76684679,76811639,77130603,77349791,77390481,77476079,77597377,77665271,77735596,78095474,78135582,78173136,78261772,78929350,79053865,79448231,79798104,79887745,80003944,80098559,80146197,80368264,80622431,80714639,80990831,81296951,81452114,81605342,81779505,81815519,81841332,81906791,81907689,81937199,82452911,82543679,82573919,82644074,83507692,83627350,83747039,83825929,84063489,84066265,84254591,84522359,84789479,84967199,85075852,85270929,85462024,85498631,85880831,85936760,86162577,86255220,86407799,86551912,86807545,87019319,87106391,87231472,87610994,87627311,87683692,87897572,87944778,87988782,88080722,88145639,88275220,88638901,88994694,89252522,89316599,89344991,89430119,89720234,89772867,90004437,90284332,90314004,90364105,90414297,90446039,90905704,91950479,92005568,92131525,92190705,92248630,92776199,93018550,93079144,93240911,93419365,93513191,94228437,94379111,94540559,94567439,94715220,94808999,94864638,95183471,95609519,95742239,95748074,95848271,95865294,95980396,96144777,96244751,96340929,96496492,96678855,96691919,96773241,96849191,97086286,97331710,97370901,97631231,97864439,97918149,98040554,98043052,98135406,98328911,98336752,98557996,98585831,98713991,99020759,99122759,99370334,99402599,99632121,99858431,...,5193823546435925905215635161270653409357809557887277765371954786480117798289842530713777206833982232178185405201718403997047529860910017098605307386934635083262470595348912784823001145642447298409282545657438506862321987213284634743116715693767725828076837256368066307204671922386264265695003137227203078851750155553676514902148194161525622864512232667926834713654667176009871803128765098472546190185581920972965344848639074005188381477501246272345431944044534259793164734807777413272833071264542711682703708413388360404178211714753126353933713307959193648600400449303738326954804913875659916401943576844476058345039549994998202471079316450979310132921903294082166181438735712086817395801751173795457829530246457001999561075874189133637948991587276682637828420266651479577918299455992128747702344831105858297585433070213305768797557815245148014632702833065903269475509513342482827252349055144565024013036906892352677658466245803667970125200758894159367664426050312216005275127369055329140105256652441422018104382350240986650733838516492829725313170038047676751947265691689851794159784240880404511080528296013746531646074951049019096879324401082747367381698811102211877362244610762316471675429937162407731373615586752239754896962251480065458436569795031489064816954807382601665288898526945603300482128068439875469469130455210828323411397120138651882682976990041347717102041468508630005583427473447683701090611476744257106251325951635043020292525801296224614615805238497565174470301837540488160895709653399333581353647816859811230854597068819129707472310401722549576831829700992897101040755853114361018662774356581851154729060883401916807460211714782628134710903838623315435198280407399703771508509669606901681557583061537404677683265354513842867542666655601866298137200803192799033032530006210893465427829399978753586422083942132180750545449058884832071103756905161197814457918351949584897856153293779626409265046253326059220135504058408324276938264771091674026247925140844883179933089441013548861908809664464480156850275382820559545240997951607663069204212075070135536729133912180145730275242120388023723381288981176307087152453768525759866248936023838480870906706558878456780911796614437167417363096706857567038983824215845598689038374587681040190011328520419694963654487258565691281836862569194386291727192723206824419922055268473520805294612051419799994815903947249551032774527223137543616008584346948085276799289521055227982246456377616676456232116817678628299272483778234792406316080491035912464278084705426635371397962454396784151910897657981854399455814608010765660303625496893718727080026115168354616118636322979437870938235958072441188925521806295352403383908934343102778349565083289215097026698715736269181689659914392582819140121768635732750094673824190892591287066542771075836587835529653902936840663855116688499799117199642644333722795311175824374110789269035258975501954286179465674022969062950469626396280041292170792547676516177384804455277996881390819675452986176725178902169618816738353274439088147174998141256822915858020468538629881311957294682047439307641821460519948158979809182640033486387492280802725804131876837690145436945914448934740163980934582946904831895933130366017742441013516100639189320161579824083046777212723814452897878556186051983867390435744920846869983420027740520691323690548984457338955747464712023231785422489266921827498203945171458002181167372726907678740600077033092689606499927269307401862833978147915140765621611676780516042880955500190711799086432944046179389448365503460910766113745660682607322203143403134330635148050377808417001934726664937020697597432980511503625355441802868567133791963805723324244915192470789375765008613513863871852134084287726237261705058512822315354103377290393026244750568442103613601}
23641 205334866935559179314713017351384649614353913280754735793875974959024726863761: {354495,378128,425394,779691,827015,992418,1157723,1181450,1417740,1512256,1535495,1653890,1701288,1818971,1842594,1913949,1984668,2053983,2362700,2598530,2835240,3024256,3118236,3189645,3402288,3827574,4365815,4630108,5019771,5072495,5121851,5238978,5831423,6086994,6287583,6614440,6771191,7131711,7316930,7441245,7553451,7602098,7937328,8047259,8520683,8600495,8748551,8780316,8858625,8896823,8929494,9305015,9449200,9582818,9602351,9673130,9868562,10312763,10320594,10435178,10630350,10860140,11052923,11166018,11339040,11416415,11607756,11710811,12039671,12094976,12433511,12497930,12597483,12756420,12999743,13032168,13435131,13606848,13689740,13699698,14114594,14407991,14661189,14928215,14997516,15056162,15247538,15307704,15789890,15981623,16330415,16427688,16729730,16777083,16965851,17199530,17221167,17237711,17365931,17659532,17913858,18369599,18454418,18481149,18688631,18858783,18916271,18947868,19130495,19596498,19689951,20067431,20075676,20483932,20521631,20639436,21199319,21743111,21764091,22178271,22533623,22830890,22956594,23262698,23419634,23886236,24184823,24236930,24245931,24382754,24434831,24442348,24961394,25071483,25119976,26414123,26831423,27234623,27285068,27307199,27363938,27397068,28259973,29084316,29262760,29672591,31235583,31414811,31626914,31919368,32190890,32263223,32662463,32871914,32920605,33050471,33272834,33279483,33456620,33642825,34076956,34331291,34728914,34917640,35115312,35745071,35885680,35909289,36131871,36151778,36796034,37121003,37485551,38031916,38324776,38568351,38629068,38704151,39091340,39282345,39504726,39663242,40015391,40147944,40371390,40537871,40928162,40965623,41401083,41530991,41901168,42142065,42611871,42698615,42770363,43026011,43062816,43115373,44204188,44531159,44951536,45166437,45289223,46089362,46633791,46639528,46909608,47138814,47267378,47463938,47499215,47532620,48150508,48236511,48445668,48865514,49832063,50129723,50169125,50215154,50234495,50473823,50570478,50641305,50730023,50917415,51096311,51238338,51290459,51327825,51809339,52228191,52469469,52727116,52773309,52823762,53264231,53645495,54017392,54464618,54749680,54957623,55170791,56198271,56448808,56594091,56817698,56999058,57001245,57039144,57446594,57627419,58348223,58448618,58776098,58871039,58937063,59718443,59907314,59990469,60006791,60202950,60255191,60281394,60540411,60769566,60801328,60979816,61100898,61179932,61465730,61593390,61737551,62065192,62112891,62335931,63148840,63289983,63504909,63535202,63557231,63933698,64073631,64169037,64216480,64232738,64232831,64361704,64374594,64465131,64698890,65699616,66309772,66427058,66452063,66525215,67718354,67792811,67858625,68401494,68602293,68656754,68786440,69146283,69658823,69823341,69893015,70003451,70221383,70322231,71042445,71156488,71237615,71417225,71484074,71613890,72243540,72406917,72414218,72578018,72652523,72994730,73606679,73758876,73912068,73922495,73995405,74182431,74235698,74741836,74779271,75194665,75732923,75778608,76327538,76877111,77059776,77270495,77384745,77638668,78082511,78243945,78510890,78928432,79198634,79542491,79581842,79830258,80051049,80504872,81168140,81430350,81444251,82072588,82286711,82309991,82481128,82543728,82621983,83123025,83316362,83460208,83871618,84935468,85031099,85250934,85485138,85533458,85700670,85936668,86044658,86142242,86347151,86423583,86692248,86859040,87593676,88400123,88400872,88664560,88706994,88794486,89051330,89076757,89230504,89558205,89968943,90233598,90321578,90567981,90922811,90956991,91333371,91414048,92170892,92182811,92359178,92688981,92724594,92791269,92861694,93024623,93074111,93127223,93365954,93662632,93892734,93961983,94213068,94526732,94535015,94619663,95185058,95528752,95643191,95736578,96064631,96933419,96933602,97169495,97401768,97528779,97716420,97827215,97841723,98432183,98443551,98783111,99141563,99227831,99410423,99450981,99655658,99689831,99747630,...,6925098061914567873620846881694204545810412743849703687162606381973490397719790040951702942445309642904247206935624538662730039814546689464807076515912846777683294127131883713097334860856596397879043394209918009149762649617712846324155620925023634437435783008490755076272895896515019020926670849636270771802333540738235353202864258882034163819349643557235779618206222901346495737505020131296728253580775894630620459798185432006917841970001661696460575925392712346390886313077036551030444095019390282243604944551184480538904282286337501805244951077278924864800533932404984435939739885167546555202591435792634744460052733326664269961439088601305746843895871058776221575251647616115756527735668231727277106040328609335999414767832252178183931988783035576850437893688868639437224399274656171663603126441474477730113910760284407691730077086993530686176937110754537692634012684456643769669798740192753365350715875856470236877954994404890626833601011858879156885901400416288007033503158740438853473675536588562690805843133654648867645118021990439633750893384063569002596354255586469058879712321173872681440704394684995375528099934732025462505765868110329823175598414802949169816326147683088628900573249549876975164820782336319673195949668640087277915426393375318753089273076510135553718531369260804400642837424586500625958840606947771097881862826851535843577302653388463622802721958011506674111236631263578268120815302325676141668434602180057360390034401728299486154406984663420232627069116720650881194279537865778108471530422479748307806129425092172943296413868963399435775772934657196134721007804152481358217032475442468206305414511202555743280282286376837512947871784831087246931040543199605028678012892809202242076777415383206236911020472685123823390222207469155064182934404257065377376706674947857953903772533305004781896111922842907667393932078513109428138342540214930419277224469266113197141537725039501879020061671101412293514005411211099035917686361455565368330566854459844239910785921351398482545079552619306875800367177094079393654663935476884092272282766760180715638845216240194307033656160517364964508385308235076116203271691367679821665248031784641161208942078504609041215728819249556556484128942476756051978432287794131585384499450241386920015104693892926618205983011420921709115816758925848388969590297609099226562740357964694407059482735226399993087871929666068043699369630850058154678112462597447035732386028073637309661941836822235274976155756904837732363311704313056541754773988047883285704112940568847161863949939195712202547863543975805865941086144014354213738167329191624969440034820224472821491515097305917161250981277429921585234029075060469871178545245790803704466086777718953462702264954315025575586213219190110425520162358180977000126231765587856788382755390361434448783780706205203915787551806822251333065489599523525778297060414901099165481052358713678634002605714905954232030625417267292835195040055056227723396902021569846405940370662508521092900603981568966905202892825088984471032585450862899997521675763887810693958051506508415943059576063252410189095280693264211973078910186711315183323041070301072175835783586860582594552598579653551974579443929206442527910840488023656588018021467518919093548773098777395702950298419270530504741581402645156520580993227795826644560036987360921764920731979276451940996619616030975713896652355895769997605260228610669574889830302543571654133436044123586141999903025743202483778637530553521020828815569040688057174607333587615732115243925394905852597820671281214354818327547576809762937524537512440846864067170411222669246302219916027596796577307348671500473922403824756178389285074297765659886923294385834353344818018485162469512112383634983015606744683763087138804503053857368326334091256138151468}
23642 206061448740618430892397923883359038949741763578375215309874309303330893568412: {307177,330862,448837,472660,519838,567192,614302,638091,803182,1014757,1039588,1323224,1438441,1463758,1488627,1746622,1772175,1861477,1890320,1935118,2126610,2217742,2268384,2424517,2456792,2480835,2551932,2646224,2738644,2763891,2782558,2953375,2977002,3440782,3544050,3722638,3780320,3897795,3910462,4157648,4252860,4536384,4677354,4754878,4848622,4943941,5103432,5129758,5741361,5787635,6159358,6333541,6693028,6945162,6985304,7715941,7839982,7858467,8115992,8129257,8268050,8383444,8492158,8679337,9050542,9130491,9508948,9921660,10049497,10071268,10186117,10443982,10583104,10975395,11278318,11403147,11548357,11707088,11811500,11905992,12573598,12665998,13170474,13173541,13220062,13394241,13575175,13760792,13847641,14116777,14173800,14326462,14374227,14509695,14519941,14602702,14802843,14888024,15118720,15477008,15480891,15652767,15945525,16165342,16257118,16290210,16749027,16796644,17008560,17112175,17376224,17411634,17913508,18089278,18142464,18266264,18746895,19134630,19548252,19570597,19996688,20006158,20370478,20410272,20534610,20549547,20552542,21171891,21643582,21903584,21979979,22074415,22369444,22447141,22496274,22584243,22871307,22961556,23096041,23547358,23684835,23885144,24130537,24180382,24641532,24646057,24993118,25094595,25145044,25263824,25604915,25799295,26128664,26253268,26254798,26489298,26614702,26767568,26870787,26951641,27064222,27519248,27603118,27681627,27692878,27929447,28231102,28421802,28499998,29018788,29394747,29571028,29752942,29857795,30113514,30552935,30608792,30725898,30959154,31091902,31399970,31423579,32240617,32327908,32613541,32861797,32960398,32985817,33428644,33534179,33581662,33847678,33851941,34106335,34222057,34246335,34434891,34837477,34894047,35129451,35175598,35829354,35970622,36355395,36529424,36574131,36578450,36663522,37281157,37442091,37556782,37679964,37820638,38779088,38874622,38974597,39050062,39313102,39332594,39335641,39899210,40809587,40927602,41045907,41095602,41647444,41761198,41820775,42596195,42719518,43146457,43626474,43647050,43852777,43894140,44023198,44322217,44372644,44857100,44907397,45150142,45490777,46072357,46101598,46187998,46420441,46820416,47265218,47440371,47539895,47879052,47905970,48151141,48175828,48256798,48286335,48551371,48864175,49201918,49307871,49392707,49459342,49909251,49973758,50184930,50829838,51115434,51424468,51505424,51855791,52093371,52350937,52376460,52622398,52672968,52910917,53201162,53246041,53303422,53357339,53530592,53558542,53828520,54227667,54307043,55170958,55194051,55201444,55255235,55793797,55868224,55932718,56189420,56232997,56316491,56355358,56780377,56815828,57047874,57417088,57487164,57705118,57943602,57957742,58299410,58637010,58951897,59257089,59415775,59494863,60188135,60221916,60557085,60643438,60894382,61392243,61479358,61943641,62178388,62261927,62546144,62788057,62851752,63313477,63837097,64046041,64118483,64226542,64315348,64392478,64594224,64775077,65634958,65717662,65883022,65908895,66130942,66306282,66325417,66873838,67145641,67427304,67452037,67521740,67697758,67799927,68317784,68367337,68437100,68437918,69062378,69134043,69176782,69637588,69959292,69980137,70364412,70441763,70480357,70561010,70568878,70708221,70895758,70901067,70978777,71059102,71177641,71195907,71298930,71630302,71673541,72037822,72170987,72225762,72364777,72659941,72668502,73027682,73095502,73298271,74474542,74931028,75322731,75458788,75768037,75855717,75998744,76001660,76052192,76224770,76474915,76494142,76819417,76857507,76977358,77350763,77581490,77673157,77701102,78076691,78182878,78664078,78936050,79090674,79235643,79544782,79987292,80106757,80270600,80291941,80375192,80452130,80720548,80937817,81026088,81029797,81300382,81467864,81539182,81671641,81696927,81945637,81954803,82124520,82175278,82582441,82651678,82817188,82887215,83127502,83587658,84386644,84673212,85005637,85226547,85431508,85498587,85558716,85734238,85832792,85953508,85983050,86169891,86284942,87028441,87463141,87599488,87619102,87672927,87697438,87755954,87980711,88088878,88164147,88499077,88636222,88945610,89026702,89354437,89439577,89728558,89806462,89860971,90202597,90304425,90422091,90895438,91154349,91158179,91201992,91469724,91651347,91705991,91769898,91903822,92058718,92195044,92198595,92390085,92523022,92539141,93097788,93427295,93687803,94011397,94577641,94605262,94723260,94819237,95143198,95302803,95481554,95833678,95900547,95986942,96017497,96324720,96349107,96542556,96561891,97048335,97897342,98345168,98549424,98660540,98673577,98750437,98903941,98909908,99057157,99067007,99464658,99640587,...,10387647092871851810431270322541306818715619115774555530743909572960235596579685061427554413667964464356370810403436807994095059721820034197210614773869270166524941190697825569646002291284894596818565091314877013724643974426569269486233431387535451656153674512736132614409343844772528531390006274454406157703500311107353029804296388323051245729024465335853669427309334352019743606257530196945092380371163841945930689697278148010376762955002492544690863888089068519586329469615554826545666142529085423365407416826776720808356423429506252707867426615918387297200800898607476653909609827751319832803887153688952116690079099989996404942158632901958620265843806588164332362877471424173634791603502347590915659060492914003999122151748378267275897983174553365275656840533302959155836598911984257495404689662211716595170866140426611537595115630490296029265405666131806538951019026684965654504698110289130048026073813784705355316932491607335940250401517788318735328852100624432010550254738110658280210513304882844036208764700481973301467677032985659450626340076095353503894531383379703588319568481760809022161056592027493063292149902098038193758648802165494734763397622204423754724489221524632943350859874324815462747231173504479509793924502960130916873139590062978129633909614765203330577797053891206600964256136879750938938260910421656646822794240277303765365953980082695434204082937017260011166854946895367402181222953488514212502651903270086040585051602592449229231610476995130348940603675080976321791419306798667162707295633719622461709194137638259414944620803445099153663659401985794202081511706228722037325548713163702309458121766803833614920423429565256269421807677246630870396560814799407543017019339213803363115166123074809355366530709027685735085333311203732596274401606385598066065060012421786930855658799957507172844167884264361501090898117769664142207513810322395628915836703899169795712306587559252818530092506652118440271008116816648553876529542183348052495850281689766359866178882027097723817619328928960313700550765641119090481995903215326138408424150140271073458267824360291460550484240776047446762577962352614174304907537051519732497872047676961741813413117756913561823593228874334834726193413715134077967648431691197378076749175362080380022657040839389927308974517131382563673725138388772583454385446413648839844110536947041610589224102839599989631807894499102065549054446275087232017168693896170553598579042110455964492912755233352912464233635357256598544967556469584812632160982071824928556169410853270742795924908793568303821795315963708798911629216021531320607250993787437454160052230336709232237272645958875741876471916144882377851043612590704806767817868686205556699130166578430194053397431472538363379319828785165638280243537271465500189347648381785182574133085542151673175671059307805873681327710233376999598234399285288667445590622351648748221578538070517951003908572358931348045938125900939252792560082584341585095353032354769608910555993762781639350905972353450357804339237633476706548878176294349996282513645831716040937077259762623914589364094878615283642921039896317959618365280066972774984561605451608263753675380290873891828897869480327961869165893809663791866260732035484882027032201278378640323159648166093554425447628905795757112372103967734780871489841693739966840055481041382647381097968914677911494929424046463570844978533843654996407890342916004362334745453815357481200154066185379212999854538614803725667956295830281531243223353561032085761911000381423598172865888092358778896731006921821532227491321365214644406286806268661270296100755616834003869453329874041395194865961023007250710883605737134267583927611446648489830384941578751530017227027727743704268168575452474523410117025644630708206754580786052489501136884207227202}
23643 206790584839363051943332001923449665427231355397309505572026781581597123270549: {496293,590825,708990,756256,779757,850788,921453,1157821,1204773,1299485,1559382,1654030,1984836,2149693,2195637,2315446,2362900,2619933,2835480,2902677,3024512,3070990,3189915,3307780,3326613,3402576,3423305,3637942,3685188,3827898,3969336,4107966,4173837,4465503,4725400,5161173,5197060,5316075,5583957,5670480,5865693,5973077,6048512,6112141,6236472,6379290,6804576,6823001,7016031,7101493,7132317,7272933,7529357,7655148,7694637,8366285,8731630,9228773,9239037,9260216,9510397,10039542,10144990,10243702,10417743,10477956,10479305,11348233,11662846,11759973,11886185,12040693,12173988,12402075,12575166,12589085,12738237,13027021,13228880,13542382,13575813,13896277,14263422,14633860,14764375,14882490,15106902,15204196,15665973,15874656,15982981,16094518,16917477,17041366,17200990,17497102,17560632,17717250,17793646,17858988,18401141,18610030,18860397,18898400,18998997,19165636,19204702,19265677,19346260,19737124,19755711,19830093,20523373,20625526,20641188,20870356,20899501,20995805,21260700,21489693,21500237,21720280,21904053,22105846,22332036,22355593,22391885,22661341,22678080,22832830,22862581,23215512,23421622,23637701,24079342,24189952,24248013,24385677,24435315,24867022,24995860,25194966,25512840,25999486,26064336,26117451,26142941,26782693,26870262,27133917,27213696,27309517,27379480,27399396,27961805,28229188,28701945,28728173,28815982,29322378,29856430,29988061,29995032,30009237,30112324,30495076,30555717,30615408,30801915,30828813,31431305,31579780,31963246,31972277,32121821,32465373,32660830,32816585,32855376,33459460,33554166,33744411,33931702,34399060,34442334,34475422,34731862,35319064,35321037,35611481,35827716,36213257,36270573,36273485,36739198,36908836,36962298,36963785,37377262,37488733,37489677,37717566,37832542,37895736,38260990,38455517,39192996,39379902,39382197,39606041,39733947,39922053,40134862,40151352,40409885,40596333,40967864,41043262,41278872,41404677,41539317,41785805,42346653,42398638,42632703,42749997,43486222,43528182,43556893,44356542,44629413,44642477,44932133,45067246,45170271,45661780,45913188,46088847,46438731,46525396,46637853,46839268,47099955,47772472,47908393,48167957,48369646,48473860,48491862,48765508,48869662,48884696,49440597,49922788,50142966,50239952,50372493,50771517,51171977,52019741,52059305,52763397,52828246,53268757,53662846,53744031,53955933,54469246,54570136,54614398,54727876,54794136,54867675,54995283,55465805,56071375,56335173,56519946,56639117,56698261,56730957,58168632,58311933,58353181,58525520,58575093,58969653,58998891,59345182,59778061,59848815,59971637,60219785,60615997,61391403,61643403,61742797,62471166,62641797,62829622,63253828,63838736,64079277,64280585,64381780,64526446,65268101,65324926,65439711,65470575,65743828,65841210,66034797,66100942,66115433,66498901,66545668,66558966,66600101,66913240,67285650,67344037,67606517,67725213,68153912,68498741,68662582,69001805,69152397,69281997,69457828,69835280,70230624,70236775,70328293,70897827,71019785,71284381,71349221,71490142,71771360,71818578,71858955,72263742,72303556,72385197,73581437,73592068,73802877,74189013,74242006,74960637,74971102,75064237,75103693,75221597,75277395,76063832,76244757,76649552,76673151,77136702,77258136,77408302,77722985,78182680,78564690,78933597,79009452,79326484,79781141,79801743,79955133,80030782,80295888,80337813,80394185,80742780,81075742,81856324,81931246,82756437,82802166,83061982,83802336,83899077,84284130,84373801,84402175,84533037,85223742,85397230,85540726,85546375,85571811,85921477,86052022,86125632,86230746,86557677,86915403,86936613,87046985,87449115,87955515,88408376,89062318,89903072,90296741,90332874,90392357,90578446,90965157,91341573,92178724,92219037,93135301,93267582,93279056,93295613,93663785,93819216,94277628,94323485,94534756,94763401,94927876,94998430,95002075,95065240,96301016,96339813,96473022,96588717,96891336,97731028,97850221,98452437,98576493,98824533,99196413,99459423,99664126,99732661,99984115,...,15581470639307777715646905483811960228073428673661833296115864359440353394869527592141331620501946696534556215605155211991142589582730051295815922160803905249787411786046738354469003436927341895227847636972315520586965961639853904229350147081303177484230511769104198921614015767158792797085009411681609236555250466661029544706444582484576868593536698003780504140964001528029615409386295295417638570556745762918896034545917222015565144432503738817036295832133602779379494204423332239818499213793628135048111125240165081212534635144259379061801139923877580945801201347911214980864414741626979749205830730533428175035118649984994607413237949352937930398765709882246498544316207136260452187405253521386373488590739371005998683227622567400913846974761830047913485260799954438733754898367976386243107034493317574892756299210639917306392673445735444043898108499197709808426528540027448481757047165433695072039110720677058032975398737411003910375602276682478102993278150936648015825382107165987420315769957324266054313147050722959952201515549478489175939510114143030255841797075069555382479352722641213533241584888041239594938224853147057290637973203248242102145096433306635632086733832286949415026289811487223194120846760256719264690886754440196375309709385094467194450864422147804995866695580836809901446384205319626408407391365632484970234191360415955648048930970124043151306124405525890016750282420343051103271834430232771318753977854905129060877577403888673843847415715492695523410905512621464482687128960198000744060943450579433692563791206457389122416931205167648730495489102978691303122267559343083055988323069745553464187182650205750422380635144347884404132711515869946305594841222199111314525529008820705044672749184612214033049796063541528602627999966805598894411602409578397099097590018632680396283488199936260759266251826396542251636347176654496213311270715483593443373755055848754693568459881338879227795138759978177660406512175224972830814794313275022078743775422534649539799268323040646585726428993393440470550826148461678635722993854822989207612636225210406610187401736540437190825726361164071170143866943528921261457361305577279598746808071515442612720119676635370342735389843311502252089290120572701116951472647536796067115123763043120570033985561259084890963461775697073845510587707583158875181578169620473259766165805420562415883836154259399984447711841748653098323581669412630848025753040844255830397868563165683946739369132850029368696350453035884897817451334704377218948241473107737392834254116279906114193887363190352455732692973945563198367443824032296980910876490681156181240078345505063848355908968938313612814707874217323566776565418886057210151726803029308335048695249867645291080096147208807545068979743177748457420365305907198250284021472572677773861199628313227509763506588961708810521991565350065499397351598927933001168385933527473122332367807105776926505862858538397022068907188851408879188840123876512377643029548532154413365833990644172459026358958530175536706508856450215059823317264441524994423770468747574061405615889643935871884046142317922925464381559844476939427547920100459162476842408177412395630513070436310837743346804220491942803748840714495687799391098053227323040548301917567960484739472249140331638171443358693635668558155951602171307234762540609950260083221562073971071646953372016867242394136069695356267467800765482494611835514374006543502118180723036221800231099278068819499781807922205588501934443745422296864835030341548128642866500572135397259298832138538168345096510382732298341236982047821966609430209402991905444151133425251005804179994811062092792298941534510876066325408605701401375891417169972734745577412368127295025840541591615556402252863178711785115175538466946062310131871179078734251705326310840803}
23644 207522284152906761669106773470909446313639005693774142822923617177246028305369: {259963,401659,614354,661724,897674,945320,967723,1039676,1063485,1134384,1228604,1276182,1606364,1955563,2029514,2079176,2339073,2481045,2518459,2646448,2659003,2876882,2927516,2953625,2977254,3473169,3493244,3544350,3722954,3780640,3870236,4134725,4253220,4435484,4536768,4606485,4619059,4849034,4913584,4961670,5103864,5292448,5315659,5456913,5477288,5527782,5565116,5741847,5906750,5954004,6161949,6496325,6881564,7088100,7256563,7394659,7445276,7560640,7795590,7820924,8084059,8102689,8221723,8315296,8505720,9072768,9354708,9509756,9568935,9697244,9887882,10206864,10259516,10278043,11482722,11575270,12318716,12667082,12859459,12994603,13097445,13386056,13534459,13890324,13970608,14207659,14744923,15059313,15217485,15365553,15431882,15679964,15682363,15716934,16083043,16231984,16258514,16536100,16766888,16984316,17015443,17358674,17494269,17679283,18101084,18260982,18292325,18862749,18869659,19005245,19017896,19528459,19843320,20098994,20142536,20313573,20372234,20887964,21166208,21395133,21494059,21624523,21950790,22323735,22556636,22660353,22806294,23096714,23314003,23414176,23623000,23811984,23957045,24141777,24182825,24671405,24862723,25147196,25331996,25562049,25801485,26087945,26145403,26245653,26340948,26347082,26440124,26575875,26690469,26788482,27150350,27521584,27695282,27915045,28233554,28347600,28562659,28652924,28748454,28807053,29019390,29039882,29068243,29205404,29605686,29776048,30237440,30327163,30452659,30578083,30904181,30938289,30954016,30961782,31244825,31305534,31891050,32202043,32330684,32514236,32580420,32947459,33158769,33442963,33498054,33593288,34017120,34224350,34249245,34307323,34676683,34752448,34823268,35132433,35286485,35413459,35536003,35827016,35846881,36119013,36178556,36284928,36532528,36635659,37136957,37300533,37493790,37640405,37792449,37971763,38118845,38269260,38999229,39096504,39141194,39474725,39779683,39993376,40012316,40305393,40737283,40740956,40820544,40856659,41069220,41099094,41105084,41452459,41800913,41824325,41927803,42343782,42774109,42998825,43223973,43229059,43287164,43807168,43817659,43959958,43983567,44148830,44738888,44784645,44872603,44894282,44989459,44992548,45168486,45742614,45923112,46037923,46136045,46192082,46270123,47094716,47369670,47748869,47770288,47887459,47944869,48002443,48261074,48360764,48461659,48991245,49034059,49283064,49292114,49986236,50189190,50290088,50331249,50527648,50897553,51209830,51305659,51418483,51598590,51663501,51713133,52097793,52257328,52506536,52509596,52978596,53229404,53535136,53659843,53741574,53903282,54128444,54263297,55038496,55101283,55108797,55206236,55321963,55363254,55385756,55443447,55858894,55872403,56065893,56462204,56576349,56748813,56843604,56999996,57077225,57295123,57378893,57391485,58037576,58156745,58549085,58789494,59029459,59069853,59142056,59505884,59634673,59715590,60104059,60202293,60227028,60592325,60638659,60956885,61105870,61217584,61277803,61451796,61564893,61918308,62183804,62403485,62799940,62847158,63597957,64330459,64481234,64655816,64850659,65227082,65229333,65292273,65472523,65676017,65723594,65920796,65971634,66297643,66534813,66555853,66857288,67068358,67163324,67600869,67695356,67703882,67934059,68212670,68409845,68444114,68492670,68869782,69048403,69674954,69788094,69853363,69953659,70258902,70351196,70952659,71658708,71845603,71941244,72043243,72536083,72554469,72710790,72737793,73058848,73148262,73156900,73304493,73320883,73327044,74562314,74884182,75021221,75113564,75214449,75359928,75455323,75641276,75776389,76222843,76700203,77270659,77357329,77558176,77744059,77749244,77949194,78100124,78626204,78665188,78671282,79067285,79242369,79712683,79798420,79991323,80477225,80494269,81619174,81703869,81832363,81855204,81921597,81923659,82091814,82179785,82191204,82288123,82469923,82742083,82787837,83182085,83294888,83522396,83641550,84263389,84779919,85192390,85439036,85604803,85869403,86292914,86484283,86822285,87252948,87294100,87705554,87788280,88046396,88221643,88644434,88745288,89017773,89505763,89714200,89814794,90300284,90379445,90981554,91443283,91990085,92144714,92203196,92272453,92273803,92375996,92439043,92840882,92850883,93640832,93706749,93913243,94244433,94530436,94880742,95079790,95758104,95811940,96302282,96318403,96351656,96513596,96572670,96789669,96870283,97102742,97262323,97652563,97728350,97987389,98350459,98403836,98427643,98615742,98761815,98785414,98918684,99151413,99158105,99804643,99818502,99838449,99947516,...,20775294185743703620862540645082613637431238231549111061487819145920471193159370122855108827335928928712741620806873615988190119443640068394421229547738540333049882381395651139292004582569789193637130182629754027449287948853138538972466862775070903312307349025472265228818687689545057062780012548908812315407000622214706059608592776646102491458048930671707338854618668704039487212515060393890184760742327683891861379394556296020753525910004985089381727776178137039172658939231109653091332285058170846730814833653553441616712846859012505415734853231836774594401601797214953307819219655502639665607774307377904233380158199979992809884317265803917240531687613176328664725754942848347269583207004695181831318120985828007998244303496756534551795966349106730551313681066605918311673197823968514990809379324423433190341732280853223075190231260980592058530811332263613077902038053369931309009396220578260096052147627569410710633864983214671880500803035576637470657704201248864021100509476221316560421026609765688072417529400963946602935354065971318901252680152190707007789062766759407176639136963521618044322113184054986126584299804196076387517297604330989469526795244408847509448978443049265886701719748649630925494462347008959019587849005920261833746279180125956259267819229530406661155594107782413201928512273759501877876521820843313293645588480554607530731907960165390868408165874034520022333709893790734804362445906977028425005303806540172081170103205184898458463220953990260697881207350161952643582838613597334325414591267439244923418388275276518829889241606890198307327318803971588404163023412457444074651097426327404618916243533607667229840846859130512538843615354493261740793121629598815086034038678427606726230332246149618710733061418055371470170666622407465192548803212771196132130120024843573861711317599915014345688335768528723002181796235539328284415027620644791257831673407798339591424613175118505637060185013304236880542016233633297107753059084366696104991700563379532719732357764054195447635238657857920627401101531282238180963991806430652276816848300280542146916535648720582921100968481552094893525155924705228348609815074103039464995744095353923483626826235513827123647186457748669669452386827430268155935296863382394756153498350724160760045314081678779854617949034262765127347450276777545166908770892827297679688221073894083221178448205679199979263615788998204131098108892550174464034337387792341107197158084220911928985825510466705824928467270714513197089935112939169625264321964143649857112338821706541485591849817587136607643590631927417597823258432043062641214501987574874908320104460673418464474545291917751483752943832289764755702087225181409613535635737372411113398260333156860388106794862945076726758639657570331276560487074542931000378695296763570365148266171084303346351342118615611747362655420466753999196468798570577334891181244703297496443157076141035902007817144717862696091876251801878505585120165168683170190706064709539217821111987525563278701811944706900715608678475266953413097756352588699992565027291663432081874154519525247829178728189757230567285842079792635919236730560133945549969123210903216527507350760581747783657795738960655923738331787619327583732521464070969764054064402556757280646319296332187108850895257811591514224744207935469561742979683387479933680110962082765294762195937829355822989858848092927141689957067687309992815780685832008724669490907630714962400308132370758425999709077229607451335912591660563062486446707122064171523822000762847196345731776184717557793462013843643064454982642730429288812573612537322540592201511233668007738906659748082790389731922046014501421767211474268535167855222893296979660769883157503060034454055455487408536337150904949046820234051289261416413509161572104979002273768414454404}
23645 208256555633317993183085657135777749723230121156377263723363679852380987862687: {827155,921531,992586,1181650,1299595,1346511,1417980,1512512,1535755,1559514,1701576,1819279,1842906,1914273,2007955,2315642,2409546,2598970,2858383,3044271,3118764,3308060,3659395,3969672,4299386,4315323,4366555,4391274,4465881,4630892,4725800,4792627,4837795,5239866,5316525,5544355,5584431,5670960,5805354,6049024,6141980,6379830,6615560,6653226,6805152,6846610,6956395,7059091,7273551,7275884,7370376,7442505,7625707,7655796,7938672,8048623,8215932,8291673,8347674,8601955,8860125,8898331,8931006,9306595,9450800,9776155,10314511,10322346,10394120,10632150,10640443,11167914,11340960,11634307,11693385,11712799,11731386,11887195,11946154,12097024,12121555,12224282,12472944,12483871,12758580,12824395,13609152,13646002,13747723,14032062,14202986,14264634,14545866,14671027,14831823,15058714,15310296,15389274,15398395,15736531,16640659,16732570,17224083,17362905,17368879,17463260,17624719,18402703,18457546,18478074,18520432,18841219,18919483,19000623,19020794,19599955,20079084,20289980,20487404,20670125,20835486,20955912,20958610,21230395,21746803,22236883,22626355,22696466,23147823,23325692,23519946,23575401,23772370,24081386,24347976,24387771,24438979,24804150,25113979,25150332,25178170,25409371,25476474,26038011,26054042,26109955,26418607,26457760,26660623,26835979,27084764,27151626,27391473,27792554,28195795,28433299,28526844,29267720,29394127,29528750,29764980,30148491,30213804,30408392,30558351,30896203,31331946,31348639,31433995,31626307,31664995,31749312,31965962,31974991,32189036,32926185,33050155,33056083,33834954,34082732,34209441,34337119,34401980,34645071,34994204,35121264,35409979,35434500,35587292,35614507,35717976,35751139,35816155,36216331,36506755,36802282,37220060,37720794,37796800,37997994,38331272,38409404,38531354,38692520,38710723,38802619,39146527,39474248,39511422,39520623,39538771,39609403,39660186,39801067,40182723,40306027,40413355,40642795,40725525,40972579,41046746,41251052,41282376,41538043,41542923,41740712,41799002,41991610,42350331,42521400,42979386,43000474,43122681,43440560,43529085,43559823,43808106,44003827,44211692,44408529,44664072,44711186,44783770,44935951,45223195,45322682,45356160,45394339,45665660,45725162,45755707,45943219,46431024,46442673,46843244,46958301,47275402,47836575,48158684,48379904,48496026,48771354,48870630,49734044,49991720,50015395,50247081,50389932,50782879,50926195,51025680,51336525,51381355,51407467,51749299,51998972,52128672,52234902,52285882,52327819,52759291,53565386,53668171,53740524,53923267,54108955,54267834,54427392,54619034,54758960,54798792,55923610,56240685,56458376,56573839,57403890,57456346,57631964,58500127,58644756,58711791,58868395,59712860,59976122,59990064,60018474,60224648,60450955,60545263,60990152,61099891,61111434,61230816,61603830,61648641,61657626,61831699,62482795,62862610,63159560,63515673,63926492,63944554,64243642,64656139,64930746,65273647,65321660,65633170,65636995,65710752,65939937,66121051,66223245,66536755,66918920,67108332,67341423,67480579,67488822,67612303,67660555,67752729,67863404,68613921,68798120,68884668,68950844,69007795,69232195,69288123,69463724,70428283,70577755,70638128,70642074,70875571,71054505,71168779,71222962,71249995,71655432,71840143,72146419,72391611,72426514,72541146,72546970,72883027,72948427,73478396,73817672,73924596,73927570,73938171,74099119,74382355,74435407,74754524,74977466,74979354,75283785,75435132,75665084,75791472,76075723,76521980,76814745,76911034,77397885,77652127,77729755,78385992,78470419,78499925,78759804,78764394,78775279,79212082,79467894,79743247,79844106,79898611,80269724,80294203,80302704,80441971,80612361,80819770,80854923,81192666,81935728,82086524,82400995,82557744,82809354,83044881,83078634,83571610,83788341,83954155,83996779,84307699,84619195,84693306,84797276,85265406,85499994,86361979,86972444,87056364,87113786,87938995,87947791,88184241,88713084,88898251,89258826,89284954,89573385,89864266,89926555,89992819,90134492,90340542,91092307,91323560,91446125,91658805,91826376,92177694,92877462,93050792,93275706,93678536,93891955,94199910,94270737,94286803,94551595,95544944,95816786,96335914,96602527,96721851,96739292,96947720,96983724,97186555,97531016,97625155,97739324,97769392,97840623,97956463,98282755,98331485,98338147,98585391,98881194,98957451,99427699,99748025,99845576,...,31162941278615555431293810967623920456146857347323666592231728718880706789739055184282663241003893393069112431210310423982285179165460102591631844321607810499574823572093476708938006873854683790455695273944631041173931923279707808458700294162606354968461023538208397843228031534317585594170018823363218473110500933322059089412889164969153737187073396007561008281928003056059230818772590590835277141113491525837792069091834444031130288865007477634072591664267205558758988408846664479636998427587256270096222250480330162425069270288518758123602279847755161891602402695822429961728829483253959498411661461066856350070237299969989214826475898705875860797531419764492997088632414272520904374810507042772746977181478742011997366455245134801827693949523660095826970521599908877467509796735952772486214068986635149785512598421279834612785346891470888087796216998395419616853057080054896963514094330867390144078221441354116065950797474822007820751204553364956205986556301873296031650764214331974840631539914648532108626294101445919904403031098956978351879020228286060511683594150139110764958705445282427066483169776082479189876449706294114581275946406496484204290192866613271264173467664573898830052579622974446388241693520513438529381773508880392750619418770188934388901728844295609991733391161673619802892768410639252816814782731264969940468382720831911296097861940248086302612248811051780033500564840686102206543668860465542637507955709810258121755154807777347687694831430985391046821811025242928965374257920396001488121886901158867385127582412914778244833862410335297460990978205957382606244535118686166111976646139491106928374365300411500844761270288695768808265423031739892611189682444398222629051058017641410089345498369224428066099592127083057205255999933611197788823204819156794198195180037265360792566976399872521518532503652793084503272694353308992426622541430967186886747510111697509387136919762677758455590277519956355320813024350449945661629588626550044157487550845069299079598536646081293171452857986786880941101652296923357271445987709645978415225272450420813220374803473080874381651452722328142340287733887057842522914722611154559197493616143030885225440239353270740685470779686623004504178580241145402233902945295073592134230247526086241140067971122518169781926923551394147691021175415166317750363156339240946519532331610841124831767672308518799968895423683497306196647163338825261696051506081688511660795737126331367893478738265700058737392700906071769795634902669408754437896482946215474785668508232559812228387774726380704911465385947891126396734887648064593961821752981362312362480156691010127696711817937876627225629415748434647133553130837772114420303453606058616670097390499735290582160192294417615090137959486355496914840730611814396500568042945145355547722399256626455019527013177923417621043983130700130998794703197855866002336771867054946244664735614211553853011725717076794044137814377702817758377680247753024755286059097064308826731667981288344918052717917060351073413017712900430119646634528883049988847540937495148122811231779287871743768092284635845850928763119688953878855095840200918324953684816354824791261026140872621675486693608440983885607497681428991375598782196106454646081096603835135920969478944498280663276342886717387271337116311903204342614469525081219900520166443124147942143293906744033734484788272139390712534935601530964989223671028748013087004236361446072443600462198556137638999563615844411177003868887490844593729670060683096257285733001144270794518597664277076336690193020765464596682473964095643933218860418805983810888302266850502011608359989622124185584597883069021752132650817211402802751782834339945469491154824736254590051681083183231112804505726357423570230351076933892124620263742358157468503410652621681606}
23646 208993408263726600195092351163774380677104700840859626537228111053424481592524: {307229,401693,448913,519926,543329,803318,873533,1014929,1109153,1228708,1250429,1323448,1488879,1772475,1795348,1861793,1890640,1935446,1955729,2079352,2096573,2126970,2268768,2284253,2339271,2457208,2518673,2552364,2565533,2764359,3212728,3220733,3473463,3501053,3614319,3898455,3911126,4059028,4060829,4135075,4158352,4665953,4678146,4962090,5036918,5292896,5318006,5362493,5753764,5788615,5855032,5907250,5954508,6449079,6473213,6586911,6946338,6986488,7088700,7165073,7303229,7445908,7561280,7677475,7740472,7859799,8130653,8222429,8269450,8506440,8543393,8708031,8870968,9073536,9094855,9212970,9238118,9569745,9698068,9732113,9827168,9923340,9979839,10207728,10269915,10278929,10415453,10584896,10597373,10631318,10913826,10954576,11055564,11096993,11130232,11278433,11483694,11640929,11813500,11908008,12323898,12521511,12635153,12992650,13396509,13535633,13670429,13763128,13984673,14176200,14208893,14253713,14513126,14789318,14790929,14890552,15014429,15121280,15460829,15483519,15591180,15641848,15683729,15948225,16168118,16205378,16262333,16443446,16630592,16751871,16928273,17011440,17592413,17597079,17919231,17990033,18145536,18336423,18709416,18915293,19019512,19135073,19137870,19394488,19574033,19661729,19775764,19968413,20413728,20469003,20519032,20556086,20624273,20886113,21048093,21104093,21278333,21304479,21396951,21495953,21818799,21829075,21930593,22147613,22588071,22840733,22965444,23083911,23150540,23359229,24637432,24736253,24864929,25098855,25334164,25362475,25609255,25718918,25989206,26147729,26194890,26607343,26772112,26786429,27068918,27211229,27686319,27717111,27719933,27780648,27941216,27973853,28415318,28531191,28565213,28607393,28986653,29112929,29157115,29489846,30118626,30434970,30455393,30580829,30731106,30863764,31123553,31253229,31359928,31364726,31433868,31437915,32166086,32246429,32463968,32517028,32950433,32991773,33072200,33074429,33198353,33533776,33539863,33693329,33855955,33968632,34030886,34044699,34310429,34539967,34597793,34717348,34843793,34925729,34988538,35279919,35358566,35416673,35457533,35658555,35661713,36122079,36202168,36521964,36523123,36584650,36679613,37206225,37490333,37725498,37739318,37767255,38010490,38035792,38214711,38378429,38981729,39056918,39062033,39081063,39686640,40197988,40236295,40262753,40285072,40627146,40727439,40744468,40780829,40900193,41098973,41456273,41688831,41775928,41971229,42332416,42603415,42760829,42790266,42988118,43002475,43233053,43249046,43272353,43742755,43860893,43889131,43901580,44293125,44484115,44642813,44647470,44915729,44993633,45032573,45113272,45320706,45612588,45809693,46080929,46193428,46274429,46525075,46628006,46776593,46828352,46997919,47246000,47431229,47623968,47914090,47930273,47948943,48011755,48283554,48365650,48466193,48504413,49342810,49401079,49723229,49725446,50294392,50556413,50663992,50752431,50971553,51124098,51563815,51602970,52098833,52175890,52248593,52290806,52435613,52491306,52681896,52694164,52696567,52880248,52920929,53151750,53366383,53380938,53576964,53590673,53924573,54300700,54331793,55043168,55203423,55264615,55327229,55390564,55830090,55877729,56243729,56316833,56467108,56535953,56581191,56681873,56695200,56996991,57082075,57125318,57305848,57445853,57496908,57614106,57772193,57797031,58038780,58079764,58136486,58170173,58314653,58410808,58554055,59035133,59211372,59267133,59394173,59490279,59552096,59931233,60109853,60198355,60216929,60474880,60644513,60654326,60857873,60905318,61106429,61156166,61570119,61808362,61876578,61908032,61923564,62167555,62272913,62489650,62611068,62698503,62987415,63395729,63782100,64129351,64336733,64404086,64469079,64500711,64590463,64661368,64787729,64856993,64891613,64998715,65028472,65160840,65478929,65712159,65894918,66317538,66338429,66406973,66885926,66996108,67066779,67124753,67175655,67186576,67363229,67465313,67533329,67811419,67984023,68034240,68144033,68448700,68498490,68587743,68614646,69055229,69353366,69504896,69646536,69893729,69994013,70264866,70494353,70572970,70793693,70826918,70913103,70992893,71059229,71072006,71158673,71456573,71654032,71693762,71885729,72039955,72238026,72357112,72444893,72543329,72569856,72744039,73065056,73157031,73271318,73305945,73360829,73751453,73946333,74108513,74238113,74273914,74335229,74601066,74641075,74987580,75077393,75280810,75302429,75462929,75584898,75943229,75943526,76237690,76262429,76538520,77120273,77310113,77468093,77617111,77751953,77998458,78193008,78282388,78352353,78428823,78949450,79348253,79559366,79908115,79986752,80024632,80030429,80348079,80610786,80739473,81015773,81322013,81401751,81419443,81474566,81481912,81641088,81652075,81713318,81928551,81932093,81962513,81968719,82114493,82138440,82198188,82210168,82326929,82569233,82780829,82904918,83593313,83601826,83648650,83743133,83847247,83855606,83885415,84042173,84280829,84637853,84687564,84815933,84829255,85339639,85548218,85613729,85907729,85997650,86105835,86184519,86188555,86259473,86447946,86458118,86574328,86829655,87133793,87364879,87614336,87635318,87919916,87967134,88144733,88297660,88497343,88660829,88661443,89458493,89477776,89515229,89569290,89745206,89788564,89964183,89978918,89985096,90027711,90278033,90336972,91485228,91667151,91702973,91846224,91847995,91896929,92075846,92272090,92311229,92384164,92405745,92486439,92540246,92778593,93352733,93443155,94031633,94189432,94293915,94581355,94678673,94739340,95294429,95497738,95540576,95652475,95773373,95773783,95774918,95889738,95916831,96004886,96355229,96365463,96522148,96721528,96923318,96959393,97396119,97663229,97840171,97982490,98068118,98438429,98449755,98566128,98584228,98695229,98746493,99511613,99840929,99972472,...,46744411917923333146940716451435880684220286020985499888347593078321060184608582776423994861505840089603668646815465635973427768748190153887447766482411715749362235358140215063407010310782025685683542910916946561760897884919561712688050441243909532452691535307312596764842047301476378391255028235044827709665751399983088634119333747453730605780610094011341512422892004584088846228158885886252915711670237288756688103637751666046695433297511216451108887496400808338138482613269996719455497641380884405144333375720495243637603905432778137185403419771632742837403604043733644942593244224880939247617492191600284525105355949954983822239713848058813791196297129646739495632948621408781356562215760564159120465772218113017996049682867702202741540924285490143740455782399863316201264695103929158729321103479952724678268897631919751919178020337206332131694325497593129425279585620082345445271141496301085216117332162031174098926196212233011731126806830047434308979834452809944047476146321497962260947309871972798162939441152168879856604546648435467527818530342429090767525391225208666147438058167923640599724754664123718784814674559441171871913919609744726306435289299919906896260201496860848245078869434461669582362540280770157794072660263320589125929128155283401583352593266443414987600086742510429704339152615958879225222174096897454910702574081247866944146792910372129453918373216577670050250847261029153309815503290698313956261933564715387182632732211666021531542247146478086570232716537864393448061386880594002232182830351738301077691373619372167367250793615502946191486467308936073909366802678029249167964969209236660392561547950617251267141905433043653212398134547609838916784523666597333943576587026462115134018247553836642099149388190624585807883999900416796683234807228735191297292770055898041188850464599808782277798755479189626754909041529963488639933812146450780330121265167546264080705379644016637683385416279934532981219536525674918492444382939825066236231326267603948619397804969121939757179286980180321411652478445385035907168981564468967622837908675631219830562205209621311572477179083492213510431600830586763784372083916731838796240424214546327838160359029906111028206169529934506756267870361718103350854417942610388201345371289129361710101956683777254672890385327091221536531763122749476625544734508861419779298497416261687247651508462778199953343135525245959294970745008237892544077259122532767491193605689497051840218107398550088106089051359107654693452354004113131656844724419323212178502762348839718342581662089571057367198078921836689595102331472096890942732629472043468543720235036515191545067726906814940838444123622651970700329696256658171630455180409087925005146085749602935873240288441626422635206939229533245372261095917721594750852064417718033321583598884939682529290519766885126431565974696050196498192054796783799003505157800582419366997103421317330779517588575615191066206721566554226637566520371629537132929088645596463240097501971932517377079076875590526610119526569350645179469951793324574983271311406242722184216847668931807615652138426953768776393144679533430818282643760301377487430527224532237186891539211308932513230040412661475828411246522143487063398173294159681969121644905752703881454218416747420994914514330076080907005674467854806513921704287621829850780249664686221913214940860116050601727182408209086068802403402296447483835506543122019630506354542169108665400693297834206458499345423766616765505803331236266890594505091024644385928599501716406191777896496415614505035289531148196895023710946143465899828290628208975716332453400275753017412539984433186278376896824603532628198976225817104204127674251509918204236732237104381885077521624774846669206758589536135355345526615400838186930395613537236202755115978932522409}
23647 209732851058430929132086422474049340943788694399320140125864836366651110487973: {779889,1158017,1204977,1535885,1654310,1819433,1843062,1985172,2150057,2244185,2363300,2599190,2693022,2811137,2835960,2903169,3025024,3071510,3119028,3190455,3378089,3403152,3638558,3685812,3828546,4015910,4631284,4819092,5073785,5123153,5197940,5716766,5866689,6088542,6113177,6237528,6616120,6772913,7017219,7192205,7318790,7443135,7555377,7762097,7939344,7977009,8522849,8598772,8630646,8733110,8782548,8860875,8931762,9261784,9307385,9451600,9512009,9585254,9604793,9675590,9738953,10419507,10479732,10633050,11088710,11159489,11168862,11341920,11610708,12042737,12098048,12122585,12283960,12404175,12436673,12575069,12759660,13003049,13029233,13231120,13306452,13610304,13686617,13693220,13819455,13857177,13912790,14118182,14547102,14551768,14740752,14766875,14839997,14885010,15251414,15311592,15877344,15946977,16097246,16247309,16370739,16431864,16583346,16642073,16695348,16821809,16970177,17203910,17225541,17720250,17796662,17862012,17954153,18485847,18613190,18901600,18921089,19488975,19552310,20471033,20526857,20629022,20644692,20788240,21057833,21264300,21280886,21557753,21748649,21769689,22183977,22335828,22359389,22681920,23268614,23321609,23386770,23425598,23462772,23774390,23892308,24194048,24243110,24252177,24308067,24448564,24665169,24719705,24945888,24967742,25116113,25302413,25517160,25648790,26838257,27218304,27292004,27314153,27439937,27495446,28064124,28405972,28529268,28706805,28938175,29091732,29234237,29342054,29663646,29680157,29722553,29993153,30117428,30620592,30778548,30796790,30834129,31473062,31508009,31667705,31676897,31778393,32842073,33058889,33281318,33465140,34448166,34725810,34737758,34926520,35249438,35347049,35926913,36301337,36553937,36805406,36915092,36956148,37040864,37495097,37682438,37838966,38001246,38041588,38578377,38579705,38714009,38983809,39199910,39292335,39474113,39804449,40158168,40579960,40603377,40646285,40974808,40976057,41340250,41541569,41670972,41672333,41848157,41911824,41917220,42087089,42460790,42622977,43085753,43367633,43396685,43493606,43564289,44007593,44234769,44330993,44473766,45177939,45252710,45392932,45652455,46096659,46195277,46270217,46295646,46651384,47039892,47047089,47150802,47544740,47608697,48162772,48249129,48695952,48775542,48877958,48911273,49608300,50142617,50227958,50247485,50300664,50356340,50818742,50930585,50952948,51046329,51109457,52076022,52108084,52219910,52482807,52837214,52915520,53037849,53150093,53321246,53671958,53927849,54169528,54303252,54782946,54876975,55585108,56391590,56578697,56588247,56608977,56866598,56899913,57015735,57053688,57642113,57741785,58484033,58535440,58585377,58788254,59057500,59529960,60296982,60427608,60816784,60940719,61116702,61792406,61836953,62649437,62663892,62697278,62867990,63252614,63312473,63329990,63498624,63573437,63931924,63949982,64185399,64378072,64482177,64661633,64873569,65852370,65867705,66100310,66112166,66971205,67486313,67669908,67810097,67875875,67981059,68165464,68418882,68634737,68674238,68781113,68803960,69238205,69290142,69942009,69988408,70021553,70242528,70583885,70819958,70869000,71174584,71229014,71296673,71435952,71502278,71632310,71871135,71933897,72425331,72432662,72548475,72599705,73013510,73604564,73863809,74014215,74311949,74440120,74588169,75441588,75593600,75752537,75995988,76662544,76686147,76818808,77062708,77385040,77404455,77421446,77605238,77979353,78263835,78293054,78436209,78736959,78948496,79022844,79041246,79077542,79218806,79267073,79320372,79602134,79727625,79905449,80071407,80365446,80612054,80634233,80826710,81285590,81451050,81521729,81945158,82093492,82415753,82502104,82564752,83076086,83085846,83481424,83598004,83745135,83983220,84108557,84631337,84700662,85042800,85560875,85687977,85958772,86000948,86245362,86421159,86881120,87058170,87119646,87204729,87475913,87616212,87702233,87853133,88007654,88423384,88817058,89328144,89422372,89567540,89871902,90446390,90645364,90712320,90788678,90981489,91331320,91357977,91450324,91511414,91734249,91886438,91891793,92712543,92814867,92862048,92885346,93098057,93151457,93495293,93686488,93734475,93878753,93916602,93936953,94550804,94724777,94893149,95673150,96317368,96606129,96610913,96759808,96925073,96992052,97542708,97741260,97852985,98240957,98808857,98842377,99468088,99476307,99749993,99983440,...,62325882557231110862587621935247840912293714694647333184463457437761413579478110368565326482007786786138224862420620847964570358330920205183263688643215620999149647144186953417876013747709367580911390547889262082347863846559415616917400588325212709936922047076416795686456063068635171188340037646726436946221001866644118178825778329938307474374146792015122016563856006112118461637545181181670554282226983051675584138183668888062260577730014955268145183328534411117517976817693328959273996855174512540192444500960660324850138540577037516247204559695510323783204805391644859923457658966507918996823322922133712700140474599939978429652951797411751721595062839528985994177264828545041808749621014085545493954362957484023994732910490269603655387899047320191653941043199817754935019593471905544972428137973270299571025196842559669225570693782941776175592433996790839233706114160109793927028188661734780288156442882708232131901594949644015641502409106729912411973112603746592063301528428663949681263079829297064217252588202891839808806062197913956703758040456572121023367188300278221529917410890564854132966339552164958379752899412588229162551892812992968408580385733226542528346935329147797660105159245948892776483387041026877058763547017760785501238837540377868777803457688591219983466782323347239605785536821278505633629565462529939880936765441663822592195723880496172605224497622103560067001129681372204413087337720931085275015911419620516243510309615554695375389662861970782093643622050485857930748515840792002976243773802317734770255164825829556489667724820670594921981956411914765212489070237372332223953292278982213856748730600823001689522540577391537616530846063479785222379364888796445258102116035282820178690996738448856132199184254166114410511999867222395577646409638313588396390360074530721585133952799745043037065007305586169006545388706617984853245082861934373773495020223395018774273839525355516911180555039912710641626048700899891323259177253100088314975101690138598159197073292162586342905715973573761882203304593846714542891975419291956830450544900841626440749606946161748763302905444656284680575467774115685045829445222309118394987232286061770450880478706541481370941559373246009008357160482290804467805890590147184268460495052172482280135942245036339563853847102788295382042350830332635500726312678481893039064663221682249663535344617037599937790847366994612393294326677650523392103012163377023321591474252662735786957476531400117474785401812143539591269805338817508875792965892430949571337016465119624456775549452761409822930771895782252793469775296129187923643505962724624724960313382020255393423635875753254451258831496869294267106261675544228840606907212117233340194780999470581164320384588835230180275918972710993829681461223628793001136085890290711095444798513252910039054026355846835242087966261400261997589406395711732004673543734109892489329471228423107706023451434153588088275628755405635516755360495506049510572118194128617653463335962576689836105435834120702146826035425800860239293269057766099977695081874990296245622463558575743487536184569271691701857526239377907757710191680401836649907369632709649582522052281745243350973387216881967771214995362857982751197564392212909292162193207670271841938957888996561326552685773434774542674232623806408685228939050162439801040332886248295884286587813488067468969576544278781425069871203061929978447342057496026174008472722892144887200924397112275277999127231688822354007737774981689187459340121366192514571466002288541589037195328554152673380386041530929193364947928191287866437720837611967621776604533701004023216719979244248371169195766138043504265301634422805605503565668679890938982309649472509180103362166366462225609011452714847140460702153867784249240527484716314937006821305243363212}
23648 210474893063005257938148326559315826193983547066479975324160059810388436667974: {448951,614458,803386,897826,1039852,1086658,1579927,1606636,1747066,2029858,2218306,2457416,2481465,2500858,2565751,2646896,2764593,2954125,2977758,3267751,3544950,3548047,3590696,3723586,3781280,3870892,3898785,3911458,4039533,4158704,4193146,4253940,4537536,4568506,4607265,4678542,4914416,5037346,5104728,5131066,5457837,5528718,5742819,5789105,6023865,6425456,6441466,6473767,6497425,6946926,7002106,7228638,7796910,7822252,7855807,8104061,8118056,8121658,8270150,8316704,8575149,8818951,9132813,9230647,9331906,9356292,9778567,9924180,10073836,10188751,10585792,10636012,10724986,10748465,10978185,11507528,11577230,11710064,11814500,11909016,12732797,12898158,12945969,12946426,13099665,13173822,13311967,13397643,13892676,13972976,13985887,14177400,14254951,14330146,14377881,14513385,14523727,14606458,14891816,15122560,15354950,15480944,15719598,15949575,16261306,16444858,16538900,16633065,16663567,16753293,17012880,17086786,17116525,17416062,17741936,17991607,18147072,18189710,18425940,18476236,19139490,19396136,19464226,19654336,19846680,19959678,20415456,20539830,20557858,20626087,20830906,20869185,21169792,21177273,21194746,21262636,21820653,21827652,21909152,22111128,22193986,22260464,22327515,22556866,22583047,22842751,22877121,22967388,23281858,23627000,23816016,24145869,24647796,24875019,25043022,25167127,25270306,25805865,25985300,26580375,26694993,26793018,26958847,27071266,27340858,27526256,27919785,27969346,28352400,28417786,28507426,28609951,29026252,29328465,29578636,29581858,29781104,29865385,30028858,30242560,30560705,30921658,30943533,30967038,31182360,31283696,31367458,31896450,31921329,32336236,32373751,32410756,32524666,32886892,32994751,33261184,33503742,33856546,34022880,34115005,34902921,35080155,35138397,35184826,35194158,35215447,35460751,35507465,35661585,35705767,35838462,35852957,35980066,36291072,36364665,36439087,36672846,37418832,37451613,37646785,37830586,38039024,38270146,38275740,38473185,38788976,38864767,39105751,39148066,39323458,39551528,39936826,39946927,40545607,40819961,40827456,40938006,41038064,41112172,41243169,41248546,41772226,41831425,42096186,42208186,42556666,42608958,42793902,42991906,43040407,43276351,43637598,43658150,43861186,44013081,44295226,44495469,45036751,45176142,45681466,45852727,45930888,46143865,46167822,46195185,46301080,46433407,46718458,47209593,47398337,47551985,48164647,48508951,48563713,49274864,49472506,49729858,49921977,50197710,50447767,50668328,50724950,51218510,51437836,51672249,51691207,51868973,51978412,52088715,52106637,52295458,52389780,52396525,52874157,53214686,53544224,53572858,54137836,54422458,55038127,55208109,55372638,55434222,55439866,55561296,55589647,55882432,55947706,56330813,56358751,56523657,56741165,56758449,56830636,56905951,57001869,57062382,57130426,57214786,57451351,57973306,58211887,58225858,58314230,58799865,58979692,59430925,59644781,60203465,60237252,60472327,60869940,60910786,61161658,61239857,61462212,61727528,62010375,62247106,62277761,62506458,62595607,62719856,62729452,62806351,62867736,62875830,62945425,63691185,64332172,64492858,64897951,64927936,65034056,65135105,65240409,65687149,65726527,65900866,65983546,66144400,66148858,66396706,66447751,66710649,67067552,67079726,67165447,67216457,67267687,67386658,67711910,67879065,67937264,68061772,68089398,68184607,68620858,69079934,69195586,69434696,69443469,69481385,69687586,69851458,69977076,70501351,70559838,70717132,70726203,70833346,70915066,71198887,71298247,71317110,71323426,71496751,72189341,72244158,72404336,72780007,73043928,73046246,73163313,73169300,73316937,73359226,73821875,74412450,74980666,75033937,75341937,75450996,75478636,75534510,75789233,76020980,76071584,76174447,76228113,76429422,76756858,76842751,77370461,77507527,77963458,78074527,78113836,78114033,78124066,78162126,78329865,79255821,79373280,79387447,79914905,79981869,80395976,80472590,80507937,80525506,80570144,81054751,81254292,81330367,81454878,81488936,81561658,81696847,81800386,81970951,81975677,82153327,82174419,82197946,82608007,82912546,83377662,83551856,83781751,83942458,84277697,84587385,84664832,85206830,85298287,85299897,85521658,85580532,85976236,86004950,86268487,86466106,86498092,86544706,87034577,87055807,87142927,87485510,87577447,87721786,87778262,87803160,88182381,88182751,88586250,88968230,89285626,89294940,89467951,89831458,89987266,90065146,90226544,90315751,90445473,90641412,90998201,91225176,91323607,91619386,91675053,91729313,92005705,92161858,92386856,92548858,92651287,92688609,92815951,93050150,93062407,93256012,93390007,93553186,93656704,93711629,93995838,94045917,94301985,94492000,94688887,94862458,94878921,94994985,95247936,95491327,95828180,95860546,95889847,95897886,95924973,96023510,96048751,96328385,96567108,96731300,96932386,96996127,97008826,97855447,98685620,98778555,98782951,98802158,98936527,99013207,99092201,99150465,99166351,99168249,99446458,99450892,99547951,...,93488823835846666293881432902871761368440572041970999776695186156642120369217165552847989723011680179207337293630931271946855537496380307774895532964823431498724470716280430126814020621564051371367085821833893123521795769839123425376100882487819064905383070614625193529684094602952756782510056470089655419331502799966177268238667494907461211561220188022683024845784009168177692456317771772505831423340474577513376207275503332093390866595022432902217774992801616676276965226539993438910995282761768810288666751440990487275207810865556274370806839543265485674807208087467289885186488449761878495234984383200569050210711899909967644479427696117627582392594259293478991265897242817562713124431521128318240931544436226035992099365735404405483081848570980287480911564799726632402529390207858317458642206959905449356537795263839503838356040674412664263388650995186258850559171240164690890542282992602170432234664324062348197852392424466023462253613660094868617959668905619888094952292642995924521894619743945596325878882304337759713209093296870935055637060684858181535050782450417332294876116335847281199449509328247437569629349118882343743827839219489452612870578599839813792520402993721696490157738868923339164725080561540315588145320526641178251858256310566803166705186532886829975200173485020859408678305231917758450444348193794909821405148162495733888293585820744258907836746433155340100501694522058306619631006581396627912523867129430774365265464423332043063084494292956173140465433075728786896122773761188004464365660703476602155382747238744334734501587231005892382972934617872147818733605356058498335929938418473320785123095901234502534283810866087306424796269095219677833569047333194667887153174052924230268036495107673284198298776381249171615767999800833593366469614457470382594585540111796082377700929199617564555597510958379253509818083059926977279867624292901560660242530335092528161410759288033275366770832559869065962439073051349836984888765879650132472462652535207897238795609938243879514358573960360642823304956890770071814337963128937935245675817351262439661124410419242623144954358166984427020863201661173527568744167833463677592480848429092655676320718059812222056412339059869013512535740723436206701708835885220776402690742578258723420203913367554509345780770654182443073063526245498953251089469017722839558596994832523374495303016925556399906686271050491918589941490016475785088154518245065534982387211378994103680436214797100176212178102718215309386904708008226263313689448838646424357005524697679436685163324179142114734396157843673379190204662944193781885465258944086937087440470073030383090135453813629881676888247245303941400659392513316343260910360818175850010292171499205871746480576883252845270413878459066490744522191835443189501704128835436066643167197769879365058581039533770252863131949392100392996384109593567598007010315601164838733994206842634661559035177151230382132413443133108453275133040743259074265858177291192926480195003943865034754158153751181053220239053138701290358939903586649149966542622812485444368433695337863615231304276853907537552786289359066861636565287520602754974861054449064474373783078422617865026460080825322951656822493044286974126796346588319363938243289811505407762908436833494841989829028660152161814011348935709613027843408575243659701560499329372443826429881720232101203454364816418172137604806804592894967671013086244039261012709084338217330801386595668412916998690847533233531011606662472533781189010182049288771857199003432812383555792992831229010070579062296393790047421892286931799656581256417951432664906800551506034825079968866372556753793649207065256397952451634208408255348503019836408473464474208763770155043249549693338413517179072270710691053230801676373860791227074472405510231957865044818}
23649 211219543354407602801298573429231296352030683835810617776815502876761089514871: {921687,1205079,1299815,1346739,1559778,1629987,2008295,2150239,2316034,2409954,2620599,2858867,3044787,3071770,3141859,3308620,3327459,3638866,3686124,3751287,3970344,3992287,4300114,4466637,4488370,4726600,4838615,5198380,5317425,5386044,5585379,5622274,5671920,5806338,5867187,6050048,6143020,6238056,6289719,6380910,6756178,6806304,6852759,7017813,7103299,7277116,7371624,7531271,7556019,7657092,7696599,8031820,8293077,9231119,9262568,9638184,9662199,9777815,10069087,10147570,10246306,10395880,10420389,10503159,10842957,11351119,11433532,11636279,11695365,11733378,12177084,12182487,12226354,12405225,12475056,12485987,12592295,13030339,13188487,13232240,13295015,13545826,13899811,13997859,14034438,14384410,14637580,14768125,14886270,15110754,15524194,15878688,15954018,16087479,16585879,16971619,17045698,17197544,17261292,17365845,17466220,17565096,17721750,17863524,18405827,18523568,18614770,18903200,19024018,19170508,19209586,19347237,19351180,19419639,19477906,19760733,20673625,20839014,20959464,21266100,21495219,21909687,22177420,22318978,22337724,22361287,22683840,23032425,23054471,23095295,23221416,23579397,24085474,24193039,24196096,24245170,24391959,24567920,24667287,24808350,24873346,25150138,25519320,25630179,26006098,26058466,26124093,26149607,26462240,26578295,26612904,27047407,27220608,27284565,27373234,27386440,27638910,27695987,27714354,27825580,28236364,28438127,28709235,29094204,29103536,29196339,29481504,29533750,29679994,29682679,29770020,29939517,29995699,30502828,30623184,30809745,30836787,31246359,31754688,31792119,31893954,31980419,32194492,32481625,32494618,32673559,32741478,32863728,33166692,33227639,33284146,33290979,33390696,33643618,33835299,33940354,34407820,34451082,34607587,34922787,35440500,35593324,35724024,35908306,36222479,36282815,36971694,36973295,37226380,37564533,37803200,37842178,37905459,38813359,38977950,39104620,39616127,40189527,40312871,40402727,40420295,40513445,40606899,40942066,41011287,41053714,41108615,41258044,41289384,41576480,41954019,42115666,42459079,42528600,42561772,42626679,42761139,43115506,43497298,43539378,43567987,44334787,44367954,44372787,44546287,44671656,44718778,45043287,45363840,45402047,46190771,46382487,46450557,46537228,46643218,46773540,46851196,46925544,47051187,47548780,47784616,47844675,48180239,48388096,48486220,48487391,48504354,48616134,48786999,48897128,49262147,49330338,49439410,49739287,49891776,49935484,50232226,50255613,50604826,50784819,51034320,51297580,51390215,52777239,52791237,53676514,53757693,53970099,54011587,54436608,54584008,54628306,54879874,54990892,55009269,56128248,56653559,56745879,56811944,56904799,56965031,57058536,57405219,57413610,57647011,57876350,58183464,58468474,58660559,58684108,58722099,58985187,59327292,59360314,59445106,59905239,59986306,60234856,60733511,60755359,61241184,61407009,61515971,61557096,61593580,61668258,61872819,62658339,62946124,63016018,63144279,63312279,63335410,63353794,63556786,63578839,63834999,63913437,64190853,64297295,64487859,64973015,65456397,65487225,65684146,65791779,66117778,66442839,66562636,66930280,67672295,67764213,67815859,68516207,68522199,68896332,68992919,69148871,69251733,69451620,69475516,69853040,70019959,70077687,70346479,70498876,70694098,71038295,71302819,71853826,72196487,72602674,73107874,73600199,73610812,73724615,73830184,73912296,74081728,74208759,74594787,74990194,75296565,75364876,75677932,76002492,76083176,76087425,76827765,77156754,77159410,77428018,77967618,78399820,78411815,78443187,78522947,78584670,78948226,79436911,79608898,79801667,79822029,80316336,80359287,80415215,80838499,81159920,81206754,81292570,81320327,81633687,81911411,81949616,81952114,82680500,83058957,83083138,83151333,83159799,83341944,83344666,83696314,83823648,83834440,83921559,84174178,84921580,85077215,85245954,85593573,85695639,85822179,86171506,86735266,86793370,86959959,86987212,87128578,87338787,87471345,88015186,88396415,88469538,88592611,88661986,88901747,88947532,89592799,90106019,90355878,90505420,90785864,91304910,91366179,91461625,91742487,91928771,92193318,92214787,92390554,92540434,92591292,92683439,93302768,93370659,93759687,94079784,94094178,94301604,94313745,94348295,95026225,95089480,95217394,96325544,96498258,96531299,96739287,96933487,97391904,97551084,97642295,97755916,97822546,98056039,98817439,98851299,98975319,99216600,99223287,99595059,...,140233235753769999440822149354307642052660858062956499665042779234963180553825748329271984584517520268811005940446396907920283306244570461662343299447235147248086706074420645190221030932346077057050628732750839685282693654758685138064151323731728597358074605921937790294526141904429135173765084705134483128997254199949265902358001242361191817341830282034024537268676013752266538684476657658758747135010711866270064310913254998140086299892533649353326662489202425014415447839809990158366492924142653215433000127161485730912811716298334411556210259314898228512210812131200934827779732674642817742852476574800853575316067849864951466719141544176441373588891388940218486898845864226344069686647281692477361397316654339053988149048603106608224622772856470431221367347199589948603794085311787476187963310439858174034806692895759255757534061011618996395082976492779388275838756860247036335813424488903255648351996486093522296778588636699035193380420490142302926939503358429832142428438964493886782841929615918394488818323456506639569813639945306402583455591027287272302576173675625998442314174503770921799174263992371156354444023678323515615741758829234178919305867899759720688780604490582544735236608303385008747087620842310473382217980789961767377787384465850204750057779799330244962800260227531289113017457847876637675666522290692364732107722243743600832440378731116388361755119649733010150752541783087459929446509872094941868785800694146161547898196634998064594626741439434259710698149613593180344184160641782006696548491055214903233074120858116502101752380846508838574459401926808221728100408034087747503894907627709981177684643851851753801425716299130959637194403642829516750353570999792001830729761079386345402054742661509926297448164571873757423651999701250390049704421686205573891878310167694123566551393799426346833396266437568880264727124589890465919801436439352340990363795502638792242116138932049913050156248839803598943658609577024755477333148819475198708693978802811845858193414907365819271537860940540964234957435336155107721506944693406902868513726026893659491686615628863934717431537250476640531294802491760291353116251750195516388721272643638983514481077089718333084618508589803520268803611085154310052563253827831164604036113867388085130305870051331764018671155981273664609595289368248429876634203526584259337895492248785061742954525388334599860029406575737877884912235024713677632231777367598302473580817068491155520654322195650264318267154077322964080357062012339394970534173257969636535508287046519155027744986268713172101594236765510068785306994416290672828197888416130405631160705109545574635203180720444822515332370867955912100989088769974514891365541227263775015438257248808807619720865324879267905620817688599736116783287753164784252556193253154099964750796654819047587871559300655379294697924088150589494576164390351397010515473401747258100991310263951992338552765726845573198620164699662679912699561114888611398787265936789389720292505915797552131237230626771579830358579708051935538409855379973724949813934218728166552650543006795422846956415280861306329179434038600292454847931280904132462291581673596711560674617633926797539690121237984427485233739566430461190194519882479045907364934717258111644362655250242262984743542990228242721017023403564419541765112862865489552340748994058665739644822580348151805181547224627258206407210206889342451506519629366058891519063626507325996202079893502619375498036271299850296517409993708800671783515273073933157785798505149218575333689489246843515105868593444590685071132838430397699484871884626927148997360200827259052237619953299558835130690473810597884596928677451312612383022754529754612710196711313145655232564874324540007620275768608406066036579846202514560791186840611708608265347936797567227}
23650 211966811041087894058892356780139616698070959715307586320929717501211923308643: {401761,543421,897902,967969,1109341,1228916,1606772,1795652,1956061,2079704,2096929,2173316,2339667,2378449,2659681,3159854,3213272,3474051,3494132,3614931,4059716,4135775,4436612,4480669,4607655,4914832,4962930,5001716,5131502,5293792,5456161,5458299,5529186,5873149,5908250,5955516,6450171,6497975,6535502,6566689,6732555,6843601,7089900,7096094,7181392,7258429,7396561,7447172,7562560,7678775,7741784,7797570,7822916,8079066,8104747,8223841,8317408,8361469,8386292,8433411,8507880,8709507,9075072,9096395,9137012,9214530,9357084,9571365,9828832,10039775,10074692,10134267,10209456,10262132,10417249,10690129,10915674,11057436,11371069,11485638,11578210,12047730,12850912,12882932,12947534,12994850,12997981,13133089,13537981,13672801,13893852,14004212,14291915,14457276,14882941,15047851,15221355,15369459,15552721,15593820,15644504,15711614,16208122,16236112,16243316,16540300,16633408,17019901,17150298,17600067,17637902,17683921,18213841,18265626,18296975,18339531,18461294,18663812,18712584,19138429,19557134,19665181,19848360,20059489,20147672,20318739,20377502,20715229,21051657,21107809,21171584,21272024,21369169,21449972,21496930,21576615,21630241,21832775,21956370,22021309,22329405,22666131,22931281,23015056,23154460,23286291,23320189,23420128,23629000,23818032,23931027,23963135,24188975,24997969,25465594,25568547,25796316,25891938,25892852,26199330,26347644,26535889,26582625,26623934,26795286,27300961,27721775,27785352,27922155,27945952,27971774,28190269,28354800,28509902,28536027,28660292,28696861,28755762,28814379,29026770,29047454,29076049,29202301,29212916,29216859,29783632,30245120,30460861,30586321,30709900,30961888,31258521,31439196,31899150,32522612,32889716,33077800,33080401,33266130,33327134,33478467,33506586,34025760,34173572,34233050,34439869,34686109,34781975,34832124,34932061,35295455,35483872,35545681,35668189,35983214,36035281,36128211,36294144,36367755,36379420,36851880,36952472,37212525,37310019,37725207,37739809,38128535,38278980,38792272,38928452,39009147,39069181,39087699,39308672,39550429,39693360,39919356,40243115,40270141,40830912,40867921,41059851,41079660,41115716,41252174,41458365,41571531,41582881,41661812,41738370,41811539,42295249,42339584,42354546,42389492,42525272,42784987,43009775,43358941,43641306,43655304,43818304,44064829,44222256,44300625,44387972,44491655,44519991,44520928,44533981,44655030,44885089,45001981,45113732,45166094,45685502,45754242,45818209,45934776,46532975,46563716,47254000,47632032,47761007,47840931,48015901,48291738,48475261,48589921,48741927,48880775,49112217,49276369,49295592,49710451,49732561,49750038,49926219,50086044,50334254,50465427,50540612,50641489,50910531,51433021,51572555,51611730,51676623,51970600,52108669,52705499,53160750,53202215,53389986,53586036,53675101,53786449,53862459,53917694,54142532,54277091,54563869,54681716,55052512,55337761,55457541,55839570,55938692,56327581,56704800,56763267,56765629,56835572,57014852,57093409,57219902,57393479,57529441,57964321,58052504,58171535,58398049,58466925,58563995,58656930,59154301,59157272,59163716,59435975,59477329,59562208,59730770,59799709,60057716,60121441,60228541,60485120,60607775,61121410,61189201,61401889,61413099,61580571,61843316,61887066,61934076,62144029,62355421,62364720,62419355,62567392,62734916,63173499,63792900,63842658,64121975,64601411,64672472,64673259,64747502,64821512,64869661,65049332,65245947,65309067,65595169,65773784,65989502,66317149,66420001,66522368,66551931,66572779,67007484,67078167,67546621,67713092,68045760,68230010,68664529,68738615,69673249,69805842,69964827,69974461,70160310,70276794,70369652,70388316,70430894,70921502,70973821,71014930,71073361,71323170,71411534,71676924,71705914,71960132,72582144,72729330,72756531,72878174,72924201,73147069,73342909,73345692,73355135,73440721,73831249,73995507,74159115,74802529,74837664,74903226,75293570,75348339,75381841,75661172,75907239,76078048,76540292,76551480,76946370,76991975,77199229,77389021,77577952,77630267,77729534,78211502,78296132,78427729,78646916,78682655,79103056,79437631,79737121,79830109,79873652,79893854,80015869,80514771,81091214,81639922,81654912,81876012,81942459,81948961,82076128,82131409,82224344,82319811,82486338,82497092,82586269,82767709,82808891,83203295,83544452,83662850,83861459,83940049,84192372,84284851,84416372,84566269,85113332,85217916,85587804,85983812,86072401,86080814,86120415,86552702,86814525,86844395,87275196,87316300,87702711,87722372,88026162,88123595,88163281,88335649,88590452,88676471,88936669,88990938,89040471,89107741,89167659,89534161,89789149,89979459,90073502,90352284,91189147,91362932,91555921,91705454,91861776,92013515,92137789,92287730,92303389,92335644,92386081,92390370,92502387,92602160,92866814,93436916,94206095,94419186,94524027,94597415,94796674,95003115,95030691,95103970,95234941,95335179,95794129,96329294,96428881,96980509,97017902,97127426,97215841,97273939,97372369,97999775,98305489,98460001,98526219,98537149,98549728,98768161,98945012,99176667,99459716,99837649,99843954,99913501,...,186977647671693332587762865805743522736881144083941999553390372313284240738434331105695979446023360358414674587261862543893711074992760615549791065929646862997448941432560860253628041243128102742734171643667786247043591539678246850752201764975638129810766141229250387059368189205905513565020112940179310838663005599932354536477334989814922423122440376045366049691568018336355384912635543545011662846680949155026752414551006664186781733190044865804435549985603233352553930453079986877821990565523537620577333502881980974550415621731112548741613679086530971349614416174934579770372976899523756990469968766401138100421423799819935288958855392235255164785188518586957982531794485635125426248863042256636481863088872452071984198731470808810966163697141960574961823129599453264805058780415716634917284413919810898713075590527679007676712081348825328526777301990372517701118342480329381781084565985204340864469328648124696395704784848932046924507227320189737235919337811239776189904585285991849043789239487891192651757764608675519426418186593741870111274121369716363070101564900834664589752232671694562398899018656494875139258698237764687487655678438978905225741157199679627585040805987443392980315477737846678329450161123080631176290641053282356503716512621133606333410373065773659950400346970041718817356610463835516900888696387589819642810296324991467776587171641488517815673492866310680201003389044116613239262013162793255825047734258861548730530928846664086126168988585912346280930866151457573792245547522376008928731321406953204310765494477488669469003174462011784765945869235744295637467210712116996671859876836946641570246191802469005068567621732174612849592538190439355667138094666389335774306348105848460536072990215346568396597552762498343231535999601667186732939228914940765189171080223592164755401858399235129111195021916758507019636166119853954559735248585803121320485060670185056322821518576066550733541665119738131924878146102699673969777531759300264944925305070415794477591219876487759028717147920721285646609913781540143628675926257875870491351634702524879322248820838485246289908716333968854041726403322347055137488335666927355184961696858185311352641436119624444112824678119738027025071481446872413403417671770441552805381485156517446840407826735109018691561541308364886146127052490997906502178938035445679117193989665046748990606033851112799813372542100983837179882980032951570176309036490131069964774422757988207360872429594200352424356205436430618773809416016452526627378897677292848714011049395358873370326648358284229468792315687346758380409325888387563770930517888173874174880940146060766180270907627259763353776494490607882801318785026632686521820721636351700020584342998411743492961153766505690540827756918132981489044383670886379003408257670872133286334395539758730117162079067540505726263898784200785992768219187135196014020631202329677467988413685269323118070354302460764264826886266216906550266081486518148531716354582385852960390007887730069508316307502362106440478106277402580717879807173298299933085245624970888736867390675727230462608553707815075105572578718133723273130575041205509949722108898128948747566156845235730052920161650645903313644986088573948253592693176638727876486579623010815525816873666989683979658057320304323628022697871419226055686817150487319403120998658744887652859763440464202406908729632836344275209613609185789935342026172488078522025418168676434661602773191336825833997381695066467062023213324945067562378020364098577543714398006865624767111585985662458020141158124592787580094843784573863599313162512835902865329813601103012069650159937732745113507587298414130512795904903268416816510697006039672816946928948417527540310086499099386676827034358144541421382106461603352747721582454148944811020463915730089636}
23651 212716705263096522537561724323169397128921132671694867044826705383539833249878: {1346853,1536145,1819741,1843374,2008465,2244565,2410158,2599630,2693478,2716645,2811613,2859109,3119556,3259974,3378661,4016590,4300478,4367665,4417501,4632068,4739781,4819908,5074645,5241198,5545765,5717734,6089574,6143540,6252145,6283718,6617240,6654918,6774061,7277732,7372248,7444395,7502574,7697253,7940688,7984574,8050669,8293779,8600228,8862375,8900593,8933274,8976740,9308965,9453200,9606421,9677230,9778645,9803253,10317133,10396760,10482865,10634850,10643149,10644141,10772088,11170758,11244548,11343840,11421265,11612676,11696355,11734374,12100096,12118599,12197581,12286040,12438781,12476112,12579438,12593365,12761820,12827665,13005253,13512356,13612608,13688941,13705518,13821795,14035626,14206598,14554232,14743248,15062542,15112038,15304069,15314184,15393198,15740533,16063640,16103665,16373511,16444321,16586154,17228457,17367315,17505265,17629213,18071595,18462238,18525136,18613021,18924301,19276368,19324398,19421301,19492275,19555630,19841713,20138174,20295140,20304145,20474509,20492612,20675375,20791760,20840778,21006318,21246481,21507541,21685914,21752341,22702238,22867064,23272558,23329765,23390730,23466756,23567421,24312183,24354168,24364974,24452708,24810450,24950112,24971974,25184590,25491061,25725447,26060678,26151829,26376974,26456853,26464480,26590030,26667421,26812465,26842813,27091652,27246193,27398439,27691941,27799622,27995718,28037809,28068876,28213669,28440541,28768820,28943075,29239201,29275160,29335701,29536250,29772540,30221508,30566253,30904081,31048388,31757376,31783789,31908036,32174958,32245395,32333413,32366065,32731621,32934555,33064501,33171758,33876469,33943238,34091396,34395088,34522584,34731690,34932440,35130192,35443500,35727048,35825365,36307501,36516145,36811654,37047136,37136773,37209613,37229540,37806400,38048036,38198391,38341016,38387375,38419172,38468581,38694474,38702360,38720581,38812513,38837907,38839278,38955812,39298995,39521466,39935901,40192929,40316293,40653265,40983013,41112145,41202781,41347250,41548621,41678028,41679409,41918928,41957661,42532200,42716965,42764853,42788533,42990438,43093069,43119901,43133643,43540155,43571181,43819374,44354840,44637956,44675448,44722574,45155989,45367680,45405901,45474275,46064850,46108942,46190590,46203121,46442832,46706869,47158794,47616781,47848725,48170948,48184333,48386078,48392192,48490340,48660565,48783918,49135840,49334574,49616700,49746692,49777981,49853233,49899195,49990701,50259879,50300276,50795941,51038640,51189361,51260358,51349575,51394645,51762613,51831349,52012196,52037413,52077265,52116932,52248186,52299214,52497661,52924480,52986865,53156590,53225808,53974821,54094814,54441216,54569130,54589093,54724513,54746468,54772880,55277820,55391974,55428708,55484965,55651160,56392165,56472728,56588413,56658373,56718823,56876254,57418470,57441901,57552061,58188408,58204645,58207072,58218901,58392678,58896049,58963008,59067500,59359988,59365358,59540040,59743813,59879034,59991398,60560701,61005656,61246368,61619490,61673574,61878261,62030749,62492718,62607555,63175765,63509376,63531819,63584238,63787908,63960838,64388984,64922029,64963250,64989236,65347118,65461959,65482956,65727456,66333384,66455278,66568292,66581958,66781392,66982545,67287236,67670598,67678165,67749141,67880708,68352145,68522029,68528253,68631363,68815640,68902164,69154789,69215174,69662989,69845574,69923365,70446241,70796461,70881000,71044465,71186648,71268565,71448048,71816612,71858461,71946301,72263701,72437607,72444958,72565630,72700693,72710341,73606453,73943388,73946590,73954645,74118013,74452760,74625057,75072145,75129066,75501381,75606400,75684356,75810918,76095121,76216909,77038993,77109733,77304145,77417595,77626718,77955900,78209240,78418645,78795541,79232254,79741125,80084979,80314861,80379054,80625742,80734861,80805454,80840590,80876541,81026890,81213798,81311665,81721393,81884132,82022574,82107428,82217230,82516088,82578768,83152960,83558581,83759355,83908038,84231332,84641365,84688069,84918158,85057200,85123544,85253358,85323121,85522278,85829853,86231012,86994596,87078756,87135974,87962065,87985395,88669574,88735908,88745574,88909381,89092574,89343312,89414149,89437556,89596155,89950165,90016213,90086574,90727680,90804094,90962221,91682115,92381542,92764974,92830599,92901114,93074456,93286436,93547080,93702392,93851088,94102374,94311061,94576465,94741213,95097560,95569232,95675365,95689350,95763987,96105841,96360478,96776192,96972440,96974782,97008708,97121253,97232268,97350769,97573998,97609861,97794256,97870165,98308645,98524294,98660676,98878820,98984253,99453613,99478574,99491029,99783552,99842065,99870968,...,280466471507539998881644298708615284105321716125912999330085558469926361107651496658543969169035040537622011880892793815840566612489140923324686598894470294496173412148841290380442061864692154114101257465501679370565387309517370276128302647463457194716149211843875580589052283808858270347530169410268966257994508399898531804716002484722383634683660564068049074537352027504533077368953315317517494270021423732540128621826509996280172599785067298706653324978404850028830895679619980316732985848285306430866000254322971461825623432596668823112420518629796457024421624262401869655559465349285635485704953149601707150632135699729902933438283088352882747177782777880436973797691728452688139373294563384954722794633308678107976298097206213216449245545712940862442734694399179897207588170623574952375926620879716348069613385791518511515068122023237992790165952985558776551677513720494072671626848977806511296703992972187044593557177273398070386760840980284605853879006716859664284856877928987773565683859231836788977636646913013279139627279890612805166911182054574544605152347351251996884628349007541843598348527984742312708888047356647031231483517658468357838611735799519441377561208981165089470473216606770017494175241684620946764435961579923534755574768931700409500115559598660489925600520455062578226034915695753275351333044581384729464215444487487201664880757462232776723510239299466020301505083566174919858893019744189883737571601388292323095796393269996129189253482878868519421396299227186360688368321283564013393096982110429806466148241716233004203504761693017677148918803853616443456200816068175495007789815255419962355369287703703507602851432598261919274388807285659033500707141999584003661459522158772690804109485323019852594896329143747514847303999402500780099408843372411147783756620335388247133102787598852693666792532875137760529454249179780931839602872878704681980727591005277584484232277864099826100312497679607197887317219154049510954666297638950397417387957605623691716386829814731638543075721881081928469914870672310215443013889386813805737027452053787318983373231257727869434863074500953281062589604983520582706232503500391032777442545287277967028962154179436666169237017179607040537607222170308620105126507655662329208072227734776170260611740102663528037342311962547329219190578736496859753268407053168518675790984497570123485909050776669199720058813151475755769824470049427355264463554735196604947161634136982311041308644391300528636534308154645928160714124024678789941068346515939273071016574093038310055489972537426344203188473531020137570613988832581345656395776832260811262321410219091149270406361440889645030664741735911824201978177539949029782731082454527550030876514497617615239441730649758535811241635377199472233566575506329568505112386506308199929501593309638095175743118601310758589395848176301178989152328780702794021030946803494516201982620527903984677105531453691146397240329399325359825399122229777222797574531873578779440585011831595104262474461253543159660717159416103871076819710759947449899627868437456333105301086013590845693912830561722612658358868077200584909695862561808264924583163347193423121349235267853595079380242475968854970467479132860922380389039764958091814729869434516223288725310500484525969487085980456485442034046807128839083530225725730979104681497988117331479289645160696303610363094449254516412814420413778684903013039258732117783038127253014651992404159787005238750996072542599700593034819987417601343567030546147866315571597010298437150667378978493687030211737186889181370142265676860795398969743769253854297994720401654518104475239906599117670261380947621195769193857354902625224766045509059509225420393422626291310465129748649080015240551537216812132073159692405029121582373681223417216530695873595134454}
23652 213469235192193257587922333929935888109421660060646570849742936526596576768764: {449027,543467,685067,803522,1015187,1086842,1250747,1391987,1674251,1795804,1935938,2097107,2218682,2425547,2457832,2659907,2765061,3213544,3591304,3615237,3899445,3912122,4040217,4159408,4193858,4201667,4346632,4527587,4679334,4756898,4889961,5319362,5790085,6024885,6319708,6426544,6450717,6567251,6613427,6948102,6988264,7229862,7305107,7679425,7719251,7861797,8119432,8271550,8362187,8576601,8683067,8873224,8912027,8961338,9097165,9134361,9215310,9323651,9425577,9829664,9925860,9982377,10003432,10263004,10281587,10418147,10587584,10736507,10750285,10912322,10916598,11058372,11099867,11220925,11253861,11746298,11779787,11816500,11911032,11976861,12051251,12734953,12900342,12995950,13071004,13133378,13179251,13399911,13465110,13673987,13687202,13808747,14055685,14122907,14179800,14192188,14362784,14515845,14516858,14526251,14750051,14793122,14894344,15125120,15152387,15357550,15483568,15595140,15645832,15866051,15952275,16158132,16209494,16266587,16447682,16634816,16722938,16756137,16772584,16866822,16890445,17015760,17198651,17419014,17601561,18150144,18192790,18274024,18429060,18714168,18869157,19142730,19657664,20008681,20079550,20105027,20149384,20268534,20418912,20524264,20558277,20717051,20834498,21053439,21309897,21380258,21632147,21831348,22114872,22283627,22593813,22668057,22742138,22846787,22933307,22971276,23089797,23156420,23322251,23365427,23494907,24095460,24871547,24879231,25000187,25368925,25615765,25701824,25765864,25895068,25898651,25989700,25995962,26266178,26325251,27075962,27345602,27693357,27787704,28008424,28583830,28699427,28914552,28986597,29120747,29333445,29765882,30095702,30207261,30338051,30442710,30565885,30589067,30738918,30756251,31105442,31187640,31261167,31289008,31423228,31509477,31631867,32379587,32416244,32472224,32486632,32528871,32835251,33080600,33083387,33207347,33266816,33548389,33702467,33864565,34039802,34053357,34114187,34300596,34442987,34853267,34908837,35086095,35200134,35275804,35303651,35367842,35548907,35712251,35961025,36427682,36531252,36547461,36593950,36679062,36922588,37215675,37327624,37425168,37457961,37500587,37776885,37783667,38147051,38276858,38509787,38810485,39091017,39112907,39114268,39330362,39353651,39554051,39565461,39696720,39885045,39954251,40118978,40295344,40637478,40755004,40911467,41348651,41430458,41586707,41699433,41993577,42103314,42215618,42338651,42343168,42544048,42614245,42738338,42890867,42899944,42993860,43153230,43260482,43362947,43665550,43912740,44042618,44068907,44304375,44342747,44538107,44658810,44928227,45045107,45332262,45822467,45861251,45862562,46030112,46287347,46308920,46442051,46536925,46572582,46640378,46840256,47258000,47560045,47636064,47862054,47926270,48023965,48173651,48262437,48377950,48518027,48594467,48694765,49319051,49413637,49737227,49757637,49851107,49995938,50684027,50914857,50931188,51137094,51592632,51776051,51783876,51785704,52097535,52113587,52375667,52398660,52695288,52935947,53071778,53165250,53247868,53379949,53457251,53590572,53828651,54569051,54601922,54605987,55122251,55217481,55343027,55443550,55570704,55797445,55844310,55891904,55943548,56040251,56340361,56369507,56380538,56442587,56709600,56807507,57019804,57072054,57135251,57320584,57393722,57462347,57511524,57534947,57628758,58041711,58053540,58094908,58152098,58258917,58404602,58425832,58433718,58439747,59159987,59282199,59567264,59805467,60213685,60234347,60341387,60490240,60612925,60921722,61172642,61419800,61443251,61923776,62020875,62150051,62183365,62288317,62517042,62678051,62875345,62878392,63519107,63798300,63868187,64042427,64145653,64485657,64910627,65015245,65045224,65146165,65601587,65729061,65779432,65808251,66155600,66160802,66357947,66460787,66532260,66654268,66956934,67013172,67083861,67144547,67485227,67655267,67828657,68051520,68347144,68433085,68466100,68705051,68879738,69097275,69163413,69285885,69372218,69411827,69563950,69664248,69864122,70014827,70382051,70590910,70738191,70967744,71014067,71091362,71179907,71336378,71874251,71966428,72070562,72201577,72256422,72565067,72579117,72588288,72696251,72735510,72758840,73154387,73175877,73382867,73676051,73703760,73834375,73904944,74001861,74199985,74357627,74425050,74454707,74483101,74620038,74810051,75450414,75479618,75966227,76253651,76257070,76557960,76858307,76890537,77584544,77712587,77856904,78018294,78138362,78175398,78372279,78448821,78617344,79100858,79372547,79386720,79734885,79838712,80054987,80147747,80333051,80486230,80540282,81142221,81236545,81440149,81661824,81735842,81853695,81866051,81987827,81989593,82119702,82139867,82159320,82170251,82231432,82504348,82625051,82776251,82806467,82916730,83087961,83143062,83165762,83210365,83323624,83476740,83623078,84109045,84157907,84590498,84679168,84709092,84778984,84850885,85020251,85050544,85314381,85316051,85569974,86019550,86127705,86374307,86717882,87282612,87310608,87387097,87393227,87589017,87636608,87942251,88129658,88201307,88258787,88373651,88444512,88519849,88601250,88688867,88774667,88775944,88983310,89039982,89041856,89048037,89067962,89310060,89543627,89770178,89770765,89818551,89987097,90003962,90227464,90250427,90332188,90391187,90672107,91371004,91508484,91636418,91744861,91869552,91926347,92009387,92340827,92429235,92510361,92588651,92890667,93065950,93127432,93727513,93739077,94061987,94508000,94601747,94605445,94789907,95264064,95376357,95522014,95565251,95681862,95941257,96031802,96069587,96234061,96583476,96912467,96950522,97017251,97179842,97444875,97483854,97565267,97761550,97865053,97928651,98020677,98224434,98547947,98552738,98591184,98804627,99086051,99108997,99420902,99465122,99468251,99500076,99620627,99682917,99852438,99872937,99873947,...,420699707261309998322466448062922926157982574188869498995128337704889541661477244987815953753552560806433017821339190723760849918733711384987029898341705441744260118223261935570663092797038231171151886198252519055848080964276055414192453971195185792074223817765813370883578425713287405521295254115403449386991762599847797707074003727083575452025490846102073611806028041256799616053429972976276241405032135598810192932739764994420258899677600948059979987467607275043246343519429970475099478772427959646299000381484457192738435148895003234668630777944694685536632436393602804483339198023928453228557429724402560725948203549594854400157424632529324120766674166820655460696537592679032209059941845077432084191949963017161964447145809319824673868318569411293664102041598769845811382255935362428563889931319574522104420078687277767272602183034856989185248929478338164827516270580741109007440273466709766945055989458280566890335765910097105580141261470426908780818510075289496427285316893481660348525788847755183466454970369519918709440919835919207750366773081861816907728521026877995326942523511312765397522791977113469063332071034970546847225276487702536757917603699279162066341813471747634205709824910155026241262862526931420146653942369885302133362153397550614250173339397990734888400780682593867339052373543629913026999566872077094196323166731230802497321136193349165085265358949199030452257625349262379788339529616284825606357402082438484643694589904994193783880224318302779132094448840779541032552481925346020089645473165644709699222362574349506305257142539526515723378205780424665184301224102263242511684722883129943533053931555555261404277148897392878911583210928488550251060712999376005492189283238159036206164227984529778892344493715621272270955999103751170149113265058616721675634930503082370699654181398279040500188799312706640794181373769671397759404309318057022971091386507916376726348416796149739150468746519410796830975828731074266431999446458425596126081936408435537574580244722097457814613582821622892704872306008465323164520834080220708605541178080680978475059846886591804152294611751429921593884407475280874059348755250586549166163817930916950543443231269154999253855525769410560806410833255462930157689761483493493812108341602164255390917610153995292056013467943820993828785868104745289629902610579752778013686476746355185228863576165003799580088219727213633654736705074141032896695332102794907420742451205473466561962966586950792954801462231968892241071186037018184911602519773908909606524861139557465083234958806139516304782710296530206355920983248872018484593665248391216893482115328636723905609542161334467545997112603867736302967266309923544674096623681791325046314771746426422859162595974637803716862453065799208350349863259494352757668579759462299894252389964457142763614677901966137884093772264451768483728493171054191031546420205241774302973930791855977015658297180536719595860494098988039738098683344665834196361797810368169160877517747392656393711691880314739491075739124155806615229566139921174849441802656184499657951629020386268540869245842583918987538302115800877364543793842712397386874745020790134682023852901780392619070363713953282455701218699291383570583559647437137722094804151774334933087965750726788954230628970684728163051070210693258625295338588596468657022246982175997218934467741044455415544641673881774619221630620668027354519558888098176674557190879521977988606239680507858126494108813899550889552229981126402015350545819221799473357395515447655726001068467740530545317605780333772055213398515291193098454615653880781446992080602481777156712859859898676505392071421431793653790786032353937837149068263589263838130590133939436965697694622973620022860827305825218198109739538607543682373560521835125824796043810392701681}
23653 214224410031956538078521060348978862131872524655599621677245492701499772007563: {1205283,1630263,2150603,2244755,2693706,2811851,2903907,3072290,3142391,3328023,3378947,3639482,3686748,3803303,3992963,4016930,4489130,4820316,4937207,5199260,5220683,5386956,5433290,5623226,5718218,5868183,6114731,6239112,6290787,6519948,6757322,7019001,7104503,7135347,7764071,7899635,7979043,8033180,8600956,8735330,8753003,8835002,9264136,9479562,9514427,9639816,10149290,10422153,10482396,10844793,11091530,11162327,11353043,11435468,12179148,12287080,12407325,12504290,12567436,12578267,12828755,13032551,13234480,13309836,13442007,13548122,13690103,13822965,13902167,14415323,14555464,14676011,14744496,14770625,14843771,14888790,15005148,15394506,15822851,15881376,15969148,15989771,16101338,16338755,16368483,16374897,16587558,16826087,17200456,17246483,17619447,17630711,17724750,17740235,17801186,17866548,17953480,17958731,18086627,18378947,18617930,18906400,19212842,19350513,19354460,19493925,19557290,19606506,19700067,20077643,20197665,20476247,20530803,20634266,20793520,20965730,21210107,21269700,21286298,21288282,21544176,21775287,22189683,22341516,22365083,22489096,22545131,22687680,22842530,23036325,23225352,23392710,23468748,23746067,24197147,24200192,24237198,24314241,24395162,24507371,24572080,24671523,24877562,24952224,25084407,25158876,25186730,25300233,25418003,25523640,25655330,26010506,26128521,26669687,27024712,27225216,27289185,27377882,27411036,27643590,28071252,28413196,28425803,28714095,28945525,29108464,29241683,29405507,29486496,29971451,30000791,30119325,30125084,30224076,30402801,30608138,30628368,30786396,30906707,31251747,31481066,31516043,31637051,31786487,32070387,32127280,32207330,32368835,32487125,32661671,32679107,32747022,32888642,33172308,33343427,34113207,34456914,34734630,35010530,35258426,36143190,36310583,36924476,37050272,37226042,37537451,37848602,38552736,38648796,38815811,38842602,38984550,38993943,39111260,39279035,39399267,39552203,39683426,40035827,40276348,40520305,40590280,40608290,40613943,40949018,40985224,41018403,41350750,41583520,41681556,41682947,42012636,42492962,42875745,43015082,43096727,43371828,43378691,43504682,43575383,44094755,44553851,44648823,45143553,45312491,45404476,45664065,45734128,45771251,46050167,46108377,46153235,46207043,46545116,46658163,46659530,46781460,46933512,47134842,47620823,48624366,48708336,48729948,48892835,48905416,49620900,49900224,49943948,50155511,50369180,50755931,50943755,50959883,50982122,51059703,51122603,51424931,51450894,52121356,52303658,52753948,52800201,52913706,52928960,53051763,53180060,53291387,53334842,53624930,53685626,53686403,53742325,54183304,54383351,54492386,54641523,54796878,54890925,55018593,55199027,55383882,55523411,55599244,55991436,56075618,56137752,56427338,56881082,56914571,57415287,57537640,57557003,57886150,58377971,58478402,58550320,58671402,58828523,58995543,59072500,59545080,59803751,60178467,60443016,60565847,60956217,61132506,61162691,61769027,61808162,62096776,62145687,63154971,63323427,63514752,63567578,63663985,63816072,64107507,64349916,64490790,64666826,64729845,64732130,64890723,65043683,65463242,65498325,65869110,66063927,66129002,66343516,66559835,66988215,67752938,67885883,67886476,67998393,68124791,68182792,68790176,68793843,68798651,69045168,69463380,69668951,69858873,69864880,69929435,69960567,70260384,70452227,70887000,71274755,71454096,71650730,71793081,71864567,71889405,71952503,72566925,72615002,72618635,72908171,73032290,73309067,73623308,73882643,74094272,74124311,74181611,74273546,74419226,74459080,74993907,75612800,76096072,76101587,76396782,76682032,76705641,76774750,76838344,76937162,77388948,77404720,77441162,77625026,77675814,77678556,77678951,77911624,78597990,78949031,79042932,79607667,79747875,79871802,79934807,80385858,80632586,81306530,81486503,81728387,81902883,81966026,82224290,82328987,82352027,82405562,82694500,83097242,83165325,83317835,83356056,83358818,83766465,83837856,83915322,84570807,84761003,84875351,85064400,85433930,85529706,85577066,85582625,85608081,85930403,85980876,86090583,86186138,86239802,86267286,86443137,86539451,87080310,87142362,87228147,87558851,87606903,87638748,87650577,88446071,88709680,89275912,89350896,89421827,89445148,89958035,90311978,90735360,90811802,90948550,91382583,91758963,92129700,92217884,92381180,92406242,92885664,93072131,93122003,93413738,93775563,94317588,94749431,94917563,95233562,95472707,95693003,95697450,96341896,96368666,96772156,96784384,96980680,97321130,97567836,97892711,98271680,98669148,99233400,99241203,99278507,99462251,99493384,99555962,99706466,99775991,99798390,99981402,...,560932943015079997763288597417230568210643432251825998660171116939852722215302993317087938338070081075244023761785587631681133224978281846649373197788940588992346824297682580760884123729384308228202514931003358741130774619034740552256605294926914389432298423687751161178104567617716540695060338820537932515989016799797063609432004969444767269367321128136098149074704055009066154737906630635034988540042847465080257243653019992560345199570134597413306649956809700057661791359239960633465971696570612861732000508645942923651246865193337646224841037259592914048843248524803739311118930698571270971409906299203414301264271399459805866876566176705765494355565555760873947595383456905376278746589126769909445589266617356215952596194412426432898491091425881724885469388798359794415176341247149904751853241759432696139226771583037023030136244046475985580331905971117553103355027440988145343253697955613022593407985944374089187114354546796140773521681960569211707758013433719328569713755857975547131367718463673577955273293826026558279254559781225610333822364109149089210304694702503993769256698015083687196697055969484625417776094713294062462967035316936715677223471599038882755122417962330178940946433213540034988350483369241893528871923159847069511149537863400819000231119197320979851201040910125156452069831391506550702666089162769458928430888974974403329761514924465553447020478598932040603010167132349839717786039488379767475143202776584646191592786539992258378506965757737038842792598454372721376736642567128026786193964220859612932296483432466008407009523386035354297837607707232886912401632136350990015579630510839924710738575407407015205702865196523838548777614571318067001414283999168007322919044317545381608218970646039705189792658287495029694607998805001560198817686744822295567513240670776494266205575197705387333585065750275521058908498359561863679205745757409363961455182010555168968464555728199652200624995359214395774634438308099021909332595277900794834775915211247383432773659629463277086151443762163856939829741344620430886027778773627611474054904107574637966746462515455738869726149001906562125179209967041165412465007000782065554885090574555934057924308358873332338474034359214081075214444340617240210253015311324658416144455469552340521223480205327056074684623925094658438381157472993719506536814106337037351581968995140246971818101553338399440117626302951511539648940098854710528927109470393209894323268273964622082617288782601057273068616309291856321428248049357579882136693031878546142033148186076620110979945074852688406376947062040275141227977665162691312791553664521622524642820438182298540812722881779290061329483471823648403956355079898059565462164909055100061753028995235230478883461299517071622483270754398944467133151012659137010224773012616399859003186619276190351486237202621517178791696352602357978304657561405588042061893606989032403965241055807969354211062907382292794480658798650719650798244459554445595149063747157558881170023663190208524948922507086319321434318832207742153639421519894899799255736874912666210602172027181691387825661123445225316717736154401169819391725123616529849166326694386846242698470535707190158760484951937709940934958265721844760778079529916183629459738869032446577450621000969051938974171960912970884068093614257678167060451451461958209362995976234662958579290321392607220726188898509032825628840827557369806026078517464235566076254506029303984808319574010477501992145085199401186069639974835202687134061092295732631143194020596874301334757956987374060423474373778362740284531353721590797939487538507708595989440803309036208950479813198235340522761895242391538387714709805250449532091018119018450840786845252582620930259497298160030481103074433624264146319384810058243164747362446834433061391747190268908}
23654 214982239017893137617774238251891492255276461847868327819707001197460163616222: {732313,898054,1086934,1370134,1439173,1607044,1721413,2030374,2173684,2285029,2501494,2783974,3348502,3591608,3689029,3871876,4040559,4194214,4248613,4437364,4608435,4851094,4915664,5225113,5319814,5459223,5530122,6025395,6427088,6499075,6613993,6733695,7182608,7230474,7798890,7824244,8080434,8106119,8149935,8318816,8387716,8403334,8434839,8577327,8693264,9055174,9358668,9513796,9779922,10041475,10135983,10601029,10638724,10751195,11282329,11580170,12049770,12097513,12639416,12736031,12853088,12901434,13102995,13134502,13226854,13252503,13854853,13896204,13976528,14124133,14219343,14294335,14459724,14610214,14796073,15050399,15198373,15223935,15358850,15438502,15709295,15723594,15867433,16238864,16543100,16637295,16724374,16801093,17153202,17366134,17746448,17824054,17922676,18194330,18268722,18430620,18647302,18756435,18851154,19659328,19677959,19851720,19961435,19964754,19975429,20006864,20322183,20526008,20563174,20836294,21175168,21285829,21473014,21500570,21824644,21833196,22116744,22199734,22333185,22441850,22507722,23091759,23367493,23492596,23559574,23633000,23646623,23822064,23953722,24102502,24152007,24193075,24530329,24881337,25302313,25469906,25800684,25943653,25991900,26142008,26266756,26327593,26358502,26587125,26701779,26799822,26930220,26966053,27220933,27347974,27374404,27617494,27926895,28111370,28245814,28359600,28384376,28725568,28819263,29031690,29033716,29052502,29335935,29409759,29500102,29586244,29788688,30250240,30304774,30715100,30759013,30951399,30967136,31190280,31291664,31448595,31732102,31904550,31929447,31932423,32316264,32418988,32533174,32879593,32895364,33269632,33445876,33512274,33545168,33733644,33780890,33870313,34031520,34117273,34263795,34397302,34838028,35089065,35203122,35516495,35837929,35862071,36300288,36355797,36385580,36449029,36548048,36571033,36592743,36858120,37179973,37316343,37428336,37656355,37738314,37780095,38285460,38482995,38995993,39015759,39315328,40017362,40159100,40210054,40298768,40537068,40676329,40837824,41048528,41066823,41116554,41434102,41465385,41668996,42106878,42619794,42760516,42792239,43170373,43264294,43662696,44229744,44346853,44567254,45187626,45336114,45484276,45693574,45865513,45866614,45912207,45942552,45981829,46155595,46179594,46312840,46446373,46644502,46730854,46989814,47221599,47410391,47602693,48190920,48310995,48889075,49120533,49332963,49743094,49758462,49893733,50000374,50345435,50461993,50575429,50737850,51231530,51403648,51531728,51685371,51790136,51797302,51979400,51991924,52101945,52268329,52515795,52532356,52650502,52887639,54151924,54214785,54334679,54611173,54691204,55386714,55575408,55839063,56016848,56045593,56703529,56755595,56772903,57167660,57398854,57794329,57829104,57973194,58181395,58241494,58263903,58337029,58476825,58666890,59525139,59531764,59659943,60191404,60414522,60676102,60885420,60912435,61131770,61178134,61423527,61477836,61512502,62026125,62210884,62375280,62429935,62522334,62578016,62846456,62961475,63018954,63035173,63263734,63739443,64083493,64522623,64759174,64832488,64944448,64973264,65057742,65151695,65257023,65670502,65703847,65942435,66161200,66166774,66414694,66475075,66533632,66584063,67096778,67185253,67233551,67287529,67389733,67404934,67695913,67729130,68079604,68106714,68172671,68228374,68601192,68885974,69499055,69706534,69817674,69989295,70172190,70400268,70551608,70607302,70702263,70722073,70735684,71097814,71220133,71319529,71424502,71914393,71922050,72309529,72703513,72855364,72900073,72936549,73062504,73094922,73187900,73358124,73683433,73840625,73845176,74267929,74431350,74655248,74850336,74915922,75001174,75053011,75332773,75553770,75567334,75808499,76293253,76294102,76473183,76553716,76675429,77019574,77176341,77620970,78098329,78116423,78182034,78225814,78228536,78455487,78660724,78707302,79108102,79130922,79370559,79393440,79411753,79505029,79770090,79908502,80002263,80237956,80341273,80437395,80528439,80590688,80987653,81274956,81355429,81510008,81738579,81822934,82178713,82195317,82697302,82815013,82822927,82860916,82929395,83075823,83173414,83398866,83987154,84113427,84206628,84299159,84431236,84641007,84677302,84686336,84858095,85058713,85088096,85228490,85321623,85324933,85413529,85476676,85781734,85799888,85987720,86306460,86383333,86520964,86725894,86829225,87056711,87170329,87331100,87691753,87717603,87825480,88007103,88025483,88085236,88137814,88608750,88685494,89076214,89317620,89856454,90090214,90664524,91021343,91204631,91352773,91644934,91698759,91722502,91725124,92029135,92060224,92574694,92617840,92712243,92884102,93073850,93145164,93174373,93280756,93680512,94516000,94638853,94800133,95120090,95272128,95351367,95724108,95806319,95852540,95921029,96047930,96317929,96347302,96524874,96736185,96755900,97000239,97036054,97098195,97188934,97389530,97887529,98194863,98638102,98803665,98827274,98969113,99045829,99122473,99193503,99474454,99515274,99702214,99991876,...,841399414522619996644932896125845852315965148377738997990256675409779083322954489975631907507105121612866035642678381447521699837467422769974059796683410883488520236446523871141326185594076462342303772396505038111696161928552110828384907942390371584148447635531626741767156851426574811042590508230806898773983525199695595414148007454167150904050981692204147223612056082513599232106859945952552482810064271197620385865479529988840517799355201896119959974935214550086492687038859940950198957544855919292598000762968914385476870297790006469337261555889389371073264872787205608966678396047856906457114859448805121451896407099189708800314849265058648241533348333641310921393075185358064418119883690154864168383899926034323928894291618639649347736637138822587328204083197539691622764511870724857127779862639149044208840157374555534545204366069713978370497858956676329655032541161482218014880546933419533890111978916561133780671531820194211160282522940853817561637020150578992854570633786963320697051577695510366932909940739039837418881839671838415500733546163723633815457042053755990653885047022625530795045583954226938126664142069941093694450552975405073515835207398558324132683626943495268411419649820310052482525725053862840293307884739770604266724306795101228500346678795981469776801561365187734678104747087259826053999133744154188392646333462461604994642272386698330170530717898398060904515250698524759576679059232569651212714804164876969287389179809988387567760448636605558264188897681559082065104963850692040179290946331289419398444725148699012610514285079053031446756411560849330368602448204526485023369445766259887066107863111110522808554297794785757823166421856977100502121425998752010984378566476318072412328455969059557784688987431242544541911998207502340298226530117233443351269861006164741399308362796558081000377598625413281588362747539342795518808618636114045942182773015832753452696833592299478300937493038821593661951657462148532863998892916851192252163872816871075149160489444194915629227165643245785409744612016930646329041668160441417211082356161361956950119693773183608304589223502859843187768814950561748118697510501173098332327635861833901086886462538309998507711051538821121612821666510925860315379522966986987624216683204328510781835220307990584112026935887641987657571736209490579259805221159505556027372953492710370457727152330007599160176439454427267309473410148282065793390664205589814841484902410946933123925933173901585909602924463937784482142372074036369823205039547817819213049722279114930166469917612279032609565420593060412711841966497744036969187330496782433786964230657273447811219084322668935091994225207735472605934532619847089348193247363582650092629543492852845718325191949275607433724906131598416700699726518988705515337159518924599788504779928914285527229355803932275768187544528903536967456986342108382063092840410483548605947861583711954031316594361073439191720988197976079476197366689331668392723595620736338321755035494785312787423383760629478982151478248311613230459132279842349698883605312368999315903258040772537081738491685167837975076604231601754729087587685424794773749490041580269364047705803560785238140727427906564911402437398582767141167119294874275444189608303548669866175931501453577908461257941369456326102140421386517250590677177192937314044493964351994437868935482088910831089283347763549238443261241336054709039117776196353349114381759043955977212479361015716252988217627799101779104459962252804030701091638443598946714791030895311452002136935481061090635211560667544110426797030582386196909231307761562893984161204963554313425719719797353010784142842863587307581572064707875674298136527178527676261180267878873931395389245947240045721654611650436396219479077215087364747121043670251649592087620785403362}
23655 215742731417548205276934196988718959334654148255985367735620951424126608200003: {1347081,1630401,2008805,2055201,2410566,2717105,2859593,3045561,3142657,3260526,3752241,3993301,4175961,4301206,4418249,4489510,4839845,5022753,5387412,5546705,5623702,5807814,5834881,6144580,6284782,6291321,6656046,6757894,7276641,7278964,7373496,7606606,7979721,7985926,8033860,8295183,8978260,9640632,9780305,9874414,10398520,10441366,10484645,10644953,10773912,10845711,10866580,11059489,11246452,11436436,11639237,11698335,11736366,11892245,12120651,12229462,12478224,12489161,12581574,12605001,13039896,13191841,13298405,13514644,13582761,14038002,14209006,14270694,14669883,15528142,15743201,15799270,15958086,16066360,16590097,17201912,17370255,17470660,17506006,17670004,17960257,18074655,18528272,18699733,18959124,19028854,19275481,19279632,19352151,19701753,19840281,20298580,20678875,20844306,20964792,21511193,21689586,21915321,22183060,22324654,22403345,22672873,22706086,22870936,22874257,23038275,23157753,23585391,24199201,24358296,24574160,24814650,24836329,25008580,25086561,25134872,25156534,25657510,25729803,26049201,26065102,26468960,26619672,26736081,26884014,27096244,27280805,27291495,27380206,27403083,27645930,27703049,27804334,27970953,28276731,28445369,28830646,29110928,29249033,29352022,29365745,29488992,29541250,29687542,29777580,29947131,30010296,30789012,30844761,31254441,31433473,31518721,31645702,31762752,31938296,31979542,32202676,32209521,32250855,32282389,32489875,32677510,32681881,32736966,32749794,32833445,33175116,33299601,33652174,33662775,33761583,34218005,34400912,34492966,35238894,35261422,35339361,35359057,35449500,35480470,35602372,35629637,35733096,35906960,35917462,35930583,36153753,36173254,36292145,36757894,36982805,37235860,37812800,38204859,38393875,38425684,38475113,38701026,38708920,38987850,39114580,39213012,39400134,39537753,40155286,40199733,40323137,40395330,40413029,40523735,40952494,41021961,41061606,41119205,41268532,41426241,41587040,41807345,41931460,42167055,42368721,42420214,42539400,42572596,42576564,42802889,43088352,43382377,43547535,43550574,43578753,44250153,44379366,44557633,44683032,44730166,44955041,44978192,45090262,45316369,45375360,45413609,45457161,45481975,45685060,46072650,46450704,46785420,46937496,47492134,47598153,47856825,48394294,48400384,48474396,48628482,48790324,48799761,48927889,49014742,49144160,49343046,49755124,49904448,50168814,50198875,50268411,50317752,50373460,50600466,50671335,50809649,50836006,51047280,51198053,51310660,51595953,52021012,52046249,52086245,52257042,52804683,53168149,53339374,53450645,54049424,54450432,54578370,54662513,54755764,54822072,54990649,55287180,56142504,56607471,56727217,56728427,56826392,56851606,56855345,57428190,57891050,58216928,58472249,58483366,58811014,58972992,59942902,60001582,60026043,60238650,60250168,60315081,60448152,60748997,60805602,61216276,61256736,61572792,61674831,61732657,61813414,62055577,62151153,62503494,62962132,63032086,63160317,63274102,63572974,63929691,64140774,64254560,64271233,64414660,64614529,64737670,64896441,64974250,64989905,65301377,65323342,65358214,65494044,65665445,65777284,66149141,66344616,66686854,66850881,67689905,67781439,68004171,68226414,68364005,68449969,68540361,68799921,68804497,68913828,69269391,69469260,69966753,70021060,70096281,70484721,70516852,71321257,71385737,71459575,72286380,72621166,72695881,73848952,73888921,74100544,74414705,74452084,74614641,74637693,75000561,75074902,75239255,75697204,76106775,76132409,76847295,77105472,77297592,77631622,77685204,77695953,77763605,77969100,77987886,78222520,78542969,78558070,78798534,78975753,79104406,79366852,79822193,80071654,80075993,80552696,81040610,81180560,81216580,81227886,81341249,81898036,81932297,81970448,82036806,82336033,82701500,83080071,83167040,83363112,83365894,84025272,84985924,85099505,85751490,86030164,86098281,86193454,86743656,86757382,86959791,87009364,87150766,87362241,88000335,88189510,88419605,88547153,88924649,89107702,89129579,89297646,90287106,90438953,90621783,90624982,90808952,91014153,91069205,91328130,91468256,91484875,91542502,91697655,91767201,92100334,92216754,92268753,92306470,92414086,92507689,93090232,93183769,93316326,93319060,93343361,93562920,93783501,93867024,94269684,94528431,94811797,94895601,95070137,95241646,95692145,97138761,97248732,97416672,97459896,97586613,97785670,97810832,97901209,98325905,98505753,99241800,99250161,99622041,99784657,99800448,99887896,...,1262099121783929994967399344188768778473947722566608496985385013114668624984431734963447861260657682419299053464017572171282549756201134154961089695025116325232780354669785806711989278391114693513455658594757557167544242892828166242577361913585557376222671453297440112650735277139862216563885762346210348160975287799543393121222011181250726356076472538306220835418084123770398848160289918928828724215096406796430578798219294983260776699032802844179939962402821825129739030558289911425298436317283878938897001144453371578215305446685009704005892333834084056609897309180808413450017594071785359685672289173207682177844610648784563200472273897587972362300022500461966382089612778037096627179825535232296252575849889051485893341437427959474021604955708233880992306124796309537434146767806087285691669793958723566313260236061833301817806549104570967555746788435014494482548811742223327022320820400129300835167968374841700671007297730291316740423784411280726342455530225868489281855950680444981045577366543265550399364911108559756128322759507757623251100319245585450723185563080633985980827570533938296192568375931340407189996213104911640541675829463107610273752811097837486199025440415242902617129474730465078723788587580794260439961827109655906400086460192651842750520018193972204665202342047781602017157120630889739080998700616231282588969500193692407491963408580047495255796076847597091356772876047787139365018588848854476819072206247315453931083769714982581351640672954908337396283346522338623097657445776038060268936419496934129097667087723048518915771427618579547170134617341273995552903672306789727535054168649389830599161794666665784212831446692178636734749632785465650753182138998128016476567849714477108618492683953589336677033481146863816812867997311253510447339795175850165026904791509247112098962544194837121500566397938119922382544121309014193278212927954171068913274159523749130179045250388449217451406239558232390492927486193222799295998339375276788378245809225306612723740734166292373443840748464868678114616918025395969493562502240662125816623534242042935425179540659775412456883835254289764781653222425842622178046265751759647498491453792750851630329693807464997761566577308231682419232499766388790473069284450480481436325024806492766172752830461985876168040403831462981486357604314235868889707831739258334041059430239065555686590728495011398740264659181640900964210115222423098690085996308384722262227353616420399685888899760852378864404386695906676723213558111054554734807559321726728819574583418672395249704876418418548914348130889590619067762949746616055453780995745173650680446345985910171716828626484003402637991337811603208908901798929770634022289871045373975138944315239279268577487787923913411150587359197397625051049589778483058273005739278386899682757169893371428290844033705898413652281316793355305451185479513162573094639260615725322908921792375567931046974891541610158787581482296964119214296050033997502589085393431104507482632553242177969181135075640944218473227217372467419845688698419763524548325407968553498973854887061158805622607737527751756962614906347402632093631381528137192160624235062370404046071558705341177857211091141859847367103656097874150711750678942311413166284412455323004799263897252180366862691886912054184489153210632079775875886015765789405971066740946527991656803403223133366246633925021645323857664891862004082063558676664294530023671572638565933965818719041523574379482326441698652668656689943379206046051637457665398420072186546342967178003205403221591635952817341001316165640195545873579295363846961642344340976241807445331470138579579696029516176214264295380961372358097061813511447204790767791514391770401818310897093083868920860068582481917475654594329218615822631047120681565505377474388131431178105043}
23656 216505896530615683091424008528571660261057206479200089392645079542944916694290: {543559,685183,1109623,1250959,1464626,1796108,2097463,2173868,2519743,2740268,2878346,3214088,3442826,3615849,4060748,4347368,4570058,4621423,4890789,5002988,5567948,5596663,6013543,6451809,6697004,6734265,7183216,7378058,7398463,7680725,7743752,8081118,8363623,8388428,8435553,8497226,8711721,8874728,9098705,9216870,9427173,9702188,9831328,9984069,10042325,10136841,10450226,10639628,10829263,10918446,11060244,11222825,11409909,11978889,12050790,12854176,12866143,12998150,13136503,13227986,13467390,13583225,13676359,13811143,14058065,14215063,14295545,14365216,14460948,14811621,15020959,15051673,15597780,15648488,15662049,15690559,16160868,16212238,16299870,16491703,16637632,16775432,16806668,16869678,16893305,17154654,17386528,17604549,18110348,18218623,18344193,18717336,18872361,19027592,19143463,19559844,20012069,20082950,20196103,20271966,21057003,21113383,21202058,21277448,21313509,21406041,21502390,21505423,21838325,21993013,22087505,22157383,22564658,22937359,23067103,23160340,23292213,23698905,23937129,24099540,24195026,25278832,25373225,25472062,25706176,25802868,26205990,26259009,26269004,26453708,26505006,26670703,27435559,27709706,27728825,27792408,27946009,27953056,28197823,28248266,28438686,28543281,28588670,28831063,28919448,29210143,29220428,29592146,30100798,30396746,30447870,30594559,30717700,30877004,31260725,31266459,31346023,31418590,31442213,31447188,31720783,31734866,32477728,32534379,33086200,33213343,33274590,33448748,33486981,33602186,33708559,33870305,34059129,34306404,34732268,34941559,35492896,35648108,35677903,35845352,36388660,36537444,36861240,37221975,37294604,37512870,37702308,37734801,38486265,39097653,39318656,39355918,39703440,39922870,39929508,39950858,40013728,40253345,40326021,40644366,41052016,41070309,41117863,41126348,41468895,41672588,41706501,42350336,42571658,42780559,42946028,43001140,43245969,43649288,43666392,44028033,44077063,44233488,44311875,44399468,44502965,44531313,44663503,44666370,44883700,45014503,45015444,45248143,46183518,46295959,46544825,46734986,46985192,47119148,47266000,47293246,47468553,47644128,47907444,47914303,47969313,48032105,48205004,48304014,48386150,48603559,48893225,49016265,49060658,49105449,49124691,49290223,49723093,49746559,49762674,49860463,50478261,50604626,50939812,51585665,51601368,51739449,51887306,51983800,52284016,52414325,52460383,52533512,52655186,52717004,52718897,52858341,52892133,53174250,53215745,53220705,53403558,53599644,53801743,53860440,53876193,53932106,54259881,54441866,54695948,54748808,55136841,55234988,55353559,55853790,56222740,56453359,56491628,56719200,56768752,57106325,57451136,57545959,57638526,57980983,58051539,58063380,58067432,58105004,58481775,58671870,58819518,59000204,59100201,59172488,59577376,60138823,60232929,60245959,60353023,60500480,60592995,60609548,60887263,60987905,61313359,61428741,61430200,61518026,61592409,61902798,61934272,62193905,62380560,62583328,62897190,62966825,63464204,63630321,63809100,63858894,63864846,64138325,64617833,64632528,64837976,65026265,65066348,65325861,65759186,65790728,66439543,66539264,66569049,66891752,67024548,67090336,67095249,67157743,67467288,67561780,67566559,67635393,67668583,67740626,68063040,68177623,68234546,68444705,68527590,68794604,68988343,69108975,69676056,70178130,70406244,70483609,70994983,71032990,71094559,71194063,71238201,71675858,71724142,72086359,72591441,72600576,72711594,72771160,72898058,72942723,73096096,73142066,73169023,73185486,73462783,73522113,73716240,74014569,74145703,74359946,74632686,74856672,74921863,75253221,75312710,75476628,75500959,75560190,75900699,76254009,76460359,76520345,76570920,76965990,77317663,77507383,77650001,77791423,77991986,78031518,78385563,78630656,78702665,79457833,79761559,79854583,80009061,80034724,80318200,80420108,80518325,80597536,81074136,81352658,81453953,81675648,81867555,82097056,82133646,82156783,82221605,82233108,82520959,82868204,82930770,82974559,83337992,83786503,83882777,84213756,84681823,85239588,85277409,85521032,85584478,86099359,86142285,86340746,86450863,86528588,86836575,87325392,87401909,87411559,87526325,87725049,88146065,88216521,88277359,88459488,88534853,88693706,88699013,89134508,89914353,90002373,90325903,90357975,90375252,90672228,90747463,90968552,91208403,91212373,91387148,91731026,91733228,91824414,91885104,91963658,92311190,92319409,92359188,92415703,92498359,92625680,92720121,92892746,93065105,93289004,93461708,93755241,93811063,93979628,94443198,94548129,94621505,94820782,94911153,95205386,95345959,95359461,96211161,96381840,96621990,97106505,97298677,97325959,97461375,97778150,97881641,97985013,98037321,98241066,98415103,98569543,98665926,99208565,99486188,99516924,99787466,99946543,...,1682798829045239993289865792251691704631930296755477995980513350819558166645908979951263815014210243225732071285356762895043399674934845539948119593366821766977040472893047742282652371188152924684607544793010076223392323857104221656769815884780743168296895271063253483534313702853149622085181016461613797547967050399391190828296014908334301808101963384408294447224112165027198464213719891905104965620128542395240771730959059977681035598710403792239919949870429100172985374077719881900397915089711838585196001525937828770953740595580012938674523111778778742146529745574411217933356792095713812914229718897610242903792814198379417600629698530117296483066696667282621842786150370716128836239767380309728336767799852068647857788583237279298695473274277645174656408166395079383245529023741449714255559725278298088417680314749111069090408732139427956740995717913352659310065082322964436029761093866839067780223957833122267561343063640388422320565045881707635123274040301157985709141267573926641394103155391020733865819881478079674837763679343676831001467092327447267630914084107511981307770094045251061590091167908453876253328284139882187388901105950810147031670414797116648265367253886990536822839299640620104965051450107725680586615769479541208533448613590202457000693357591962939553603122730375469356209494174519652107998267488308376785292666924923209989284544773396660341061435796796121809030501397049519153358118465139302425429608329753938574778359619976775135520897273211116528377795363118164130209927701384080358581892662578838796889450297398025221028570158106062893512823121698660737204896409052970046738891532519774132215726222221045617108595589571515646332843713954201004242851997504021968757132952636144824656911938119115569377974862485089083823996415004680596453060234466886702539722012329482798616725593116162000755197250826563176725495078685591037617237272228091884365546031665506905393667184598956601874986077643187323903314924297065727997785833702384504327745633742150298320978888389831258454331286491570819489224033861292658083336320882834422164712322723913900239387546367216609178447005719686375537629901123496237395021002346196664655271723667802173772925076619997015422103077642243225643333021851720630759045933973975248433366408657021563670440615981168224053871775283975315143472418981158519610442319011112054745906985420740915454304660015198320352878908854534618946820296564131586781328411179629682969804821893866247851866347803171819205848927875568964284744148072739646410079095635638426099444558229860332939835224558065219130841186120825423683932995488073938374660993564867573928461314546895622438168645337870183988450415470945211869065239694178696386494727165300185259086985705691436650383898551214867449812263196833401399453037977411030674319037849199577009559857828571054458711607864551536375089057807073934913972684216764126185680820967097211895723167423908062633188722146878383441976395952158952394733378663336785447191241472676643510070989570625574846767521258957964302956496623226460918264559684699397767210624737998631806516081545074163476983370335675950153208463203509458175175370849589547498980083160538728095411607121570476281454855813129822804874797165534282334238589748550888379216607097339732351863002907155816922515882738912652204280842773034501181354354385874628088987928703988875737870964177821662178566695527098476886522482672109418078235552392706698228763518087911954424958722031432505976435255598203558208919924505608061402183276887197893429582061790622904004273870962122181270423121335088220853594061164772393818462615523125787968322409927108626851439439594706021568285685727174615163144129415751348596273054357055352522360535757747862790778491894480091443309223300872792438958154430174729494242087340503299184175241570806724}
23657 217271743689049101622197080653045796393577971566224188165934515950375084267536: {2196939,2245135,2694162,2717335,2812327,3260802,3379519,3425335,3803947,4017610,4110402,4317519,4418623,4821132,4938043,5075935,5164239,5221567,5434210,5719186,5976619,6091122,6253735,6285314,6521052,6775783,6827047,6855087,6959935,7504482,7765387,7986602,8351922,8371255,8602412,8836498,8979020,9608863,9679690,10045506,10485535,10774824,11067087,11093410,11164219,11247404,11615628,11669762,12121677,12127735,12200683,12289160,12441943,12569564,12580399,12582642,12745839,13008559,13299535,13312092,13515788,13692427,13754719,13825305,14553282,14557928,14678503,14746992,14846287,15213212,15675339,15959442,15971852,16067720,16377669,16448503,16590366,16649143,16828939,17956520,18076185,18617767,18850807,19281264,19497225,19560610,19748828,19841979,19846759,20201085,20479723,20797040,20882732,20969290,21008335,21289906,21513019,21547824,21691422,21733160,22118978,22248199,22492904,22637935,22872872,23062303,23278474,23396670,23472732,23651743,23784490,24241302,24318357,24449805,24458924,24956448,24978322,25126783,25163148,25210002,25304517,25422319,25731981,26079792,26383682,26596810,27029288,27165522,27705403,28076004,28220863,28418012,28541388,28745239,28950425,29246647,29339766,30124425,30407949,31056284,31364683,31486402,31598540,31642423,31791883,31803087,31916172,32132720,32140903,32253585,32739967,32836255,33067135,33180194,33238927,33846987,34403824,34567039,34740510,34941320,35012012,35340008,35428063,35920514,36149310,36292539,36316747,36525535,37056544,37399466,37918248,38057708,38193127,38208093,38397125,38478379,38511583,38550962,38559264,38596255,38704302,39308985,39403506,39558919,39680562,39757509,39821359,40416463,40597160,41112043,41213287,41357750,41564559,41688612,41690023,41810935,41929584,42372399,42658029,42883005,43022386,43104043,43379172,43415335,43602943,43830642,44366120,44388219,44560135,44649308,44669119,44806690,45151197,45167503,45345746,45412172,45485825,45595119,45671805,45741872,45748514,45779023,45966823,46076550,46214887,46315506,46618255,47127885,47170782,47602299,47628907,47838523,47905207,48398402,48503863,48716592,49148320,49629300,49672658,49911885,50017160,50173122,50269744,50313068,50403279,50809003,51202399,51315020,51325483,51407935,51433663,51459606,51775927,52050667,52090735,52098402,52130204,52354543,52511047,52937920,53239344,53472162,53682535,53695519,53751425,53768028,53950759,54192488,54561610,54582990,54760412,54806166,55291860,55406098,55499335,55608668,55744939,55941906,56104625,56269305,56553462,56733229,56890738,56984383,57566887,57661292,58221856,58498066,58530283,58680487,58704044,58731490,58898935,58977984,58987423,59033877,59082500,59375084,59555160,59884305,59894262,59926287,60020592,60047767,60256255,60754159,60966549,61578024,61689522,61863223,62508882,62866946,63037442,63291404,63525504,63674765,63857487,63876592,63959084,64405352,64419042,64501710,64564778,64689103,64938583,64979750,65355020,65363762,65473932,65499588,65666890,65896255,66192703,66350232,66599202,66639847,66999555,67304348,67325550,67514983,67523166,68369935,68436010,68801824,68985932,69043735,69103567,69275277,70102479,70278425,70477788,70522844,70614535,70678722,70718114,70899000,70939869,70960940,71204744,71205343,71259274,71466192,71813920,71834924,71861166,72183343,72282127,72307506,72346508,72456021,72579225,72584290,72631255,72920743,73515788,73590987,73750255,73965610,74039047,74471720,74644011,74830903,75625600,75761935,75906939,76236343,76409718,76787750,76851368,76929607,76950226,77402052,77417840,77487583,77830959,77975700,78229160,78426024,78549643,78800268,78815803,78982779,79075506,79330255,79597483,79761375,79784059,80105337,80310572,80335519,80399466,80646274,80755447,80790660,80826058,80898159,81047470,81332935,81662799,81904988,81939259,82043922,82123212,82238410,82537064,82852482,83174080,83579887,83614690,83780685,83862920,83982139,84334110,84452225,84709663,84737442,84840428,85078800,85089163,85145192,85153128,85605778,85993255,86176704,86457789,86764754,87095070,87101148,87157506,87370603,88007805,88229277,88500306,88758732,88773847,89115266,89265103,89366064,89437183,89460332,89910082,89956384,90180524,90446719,90632738,90750720,90827218,90914322,90963950,90985867,91041439,91370120,91931623,92145300,92277039,92854197,92901408,93018043,93570840,93874992,93977323,94335319,94345785,94765867,94984268,95196306,95709607,95713650,95788341,95797269,95865703,96130567,96788588,96800768,96948792,97256964,97580648,97599522,97855778,98029484,98288320,98638779,98686092,99510248,99808896,...,2524198243567859989934798688377537556947895445133216993970770026229337249968863469926895722521315364838598106928035144342565099512402268309922179390050232650465560709339571613423978556782229387026911317189515114335088485785656332485154723827171114752445342906594880225301470554279724433127771524692420696321950575599086786242444022362501452712152945076612441670836168247540797696320579837857657448430192813592861157596438589966521553398065605688359879924805643650259478061116579822850596872634567757877794002288906743156430610893370019408011784667668168113219794618361616826900035188143570719371344578346415364355689221297569126400944547795175944724600045000923932764179225556074193254359651070464592505151699778102971786682874855918948043209911416467761984612249592619074868293535612174571383339587917447132626520472123666603635613098209141935111493576870028988965097623484446654044641640800258601670335936749683401342014595460582633480847568822561452684911060451736978563711901360889962091154733086531100798729822217119512256645519015515246502200638491170901446371126161267971961655141067876592385136751862680814379992426209823281083351658926215220547505622195674972398050880830485805234258949460930157447577175161588520879923654219311812800172920385303685501040036387944409330404684095563204034314241261779478161997401232462565177939000387384814983926817160094990511592153695194182713545752095574278730037177697708953638144412494630907862167539429965162703281345909816674792566693044677246195314891552076120537872838993868258195334175446097037831542855237159094340269234682547991105807344613579455070108337298779661198323589333331568425662893384357273469499265570931301506364277996256032953135699428954217236985367907178673354066962293727633625735994622507020894679590351700330053809583018494224197925088389674243001132795876239844765088242618028386556425855908342137826548319047498260358090500776898434902812479116464780985854972386445598591996678750553576756491618450613225447481468332584746887681496929737356229233836050791938987125004481324251633247068484085870850359081319550824913767670508579529563306444851685244356092531503519294996982907585501703260659387614929995523133154616463364838464999532777580946138568900960962872650049612985532345505660923971752336080807662925962972715208628471737779415663478516668082118860478131111373181456990022797480529318363281801928420230444846197380171992616769444524454707232840799371777799521704757728808773391813353446427116222109109469615118643453457639149166837344790499409752836837097828696261779181238135525899493232110907561991490347301360892691971820343433657252968006805275982675623206417817803597859541268044579742090747950277888630478558537154975575847826822301174718394795250102099179556966116546011478556773799365514339786742856581688067411796827304562633586710610902370959026325146189278521231450645817843584751135862093949783083220317575162964593928238428592100067995005178170786862209014965265106484355938362270151281888436946454434744934839691377396839527049096650815937106997947709774122317611245215475055503513925229812694805264187262763056274384321248470124740808092143117410682355714422182283719694734207312195748301423501357884622826332568824910646009598527794504360733725383773824108368978306421264159551751772031531578811942133481893055983313606806446266732493267850043290647715329783724008164127117353328589060047343145277131867931637438083047148758964652883397305337313379886758412092103274915330796840144373092685934356006410806443183271905634682002632331280391091747158590727693923284688681952483614890662940277159159392059032352428528590761922744716194123627022894409581535583028783540803636621794186167737841720137164963834951309188658437231645262094241363131010754948776262862356210086}
23658 218040282257172754863109430735633307436028939188672783037389679310768479283649: {685241,732437,1087118,1370366,1392341,2219246,2285417,2379257,2501918,2566841,2929252,2988437,3502841,3592216,4041243,4194926,4347736,4668341,4891203,4947317,5039486,5318837,5480536,5643497,5756692,6026415,6165603,6428176,6885652,7231698,7721237,7859177,8088917,8121496,8151315,8547797,8578779,8694736,8822741,9051641,9136683,9140116,9242846,9427971,9781578,10005976,10010837,10420841,10602857,10693817,10753015,11135896,11193326,11223775,11256723,11374997,11556341,11979903,12027086,12506297,12527883,12738187,12903618,13182677,13254747,13317737,13394008,13468530,13542677,13812341,13857257,14059255,14216297,14261141,14366432,14519535,14530037,14753897,14756116,14796926,14888117,15068259,15361450,15487504,15711955,16162236,16640115,16727246,16776856,16871106,16894735,16994452,17203157,17336057,17423442,17504643,17749456,17999477,18197410,18220217,18433740,18854346,18873963,19016515,19404376,19662656,19681291,19964815,19968138,20013763,20066537,20084650,20273682,20635157,20897141,20900452,21279256,21289577,21376697,21658526,21829923,21836892,21942197,22120488,22445650,22819818,23069141,23112377,23501141,23650627,23939163,23957778,24101580,24534677,24620597,24686035,24885549,25006841,25178297,25708352,25732286,25996300,26103415,26273006,26455972,26934780,27166450,27310697,27352718,27622286,27988841,28116130,28430126,28580537,28591090,28730432,28833641,28875797,28921896,29340915,29623242,30041918,30103346,30471797,30573655,30764537,30922507,31140341,31195560,31296976,31324098,31381118,31453935,31765241,31934859,32321736,32424476,32537133,32599740,32968277,32983406,33178467,33216341,33275264,33464117,33550864,33613336,33739356,33786610,34246841,34309308,34616597,34773056,34862741,34917711,35095005,35209098,35435957,35522515,35676735,35681141,35721977,35844437,36220696,36361953,36437246,36658997,36688386,37158979,37267817,37434672,37467483,37744722,37753577,37815003,38055184,38278517,38286926,38820355,38882537,39083477,39119688,39498175,39575523,39895215,40024138,40165900,40392206,40543932,40748283,40763477,41360057,41479157,41954837,42114006,42226766,42404116,42554896,42627018,42812082,43004780,43010846,43257017,43532117,43676650,43765015,43986026,44009649,44175010,44314766,44667641,44901737,45057641,45129316,45252341,45835241,45874718,45990377,46067897,46134206,46320680,46584426,47229603,47397810,47418427,47572135,47874258,47957141,48187157,48199080,48390052,48493397,48760937,49332917,49770291,49865141,49903097,50557664,50660537,50746450,50811641,50944124,51226517,51412352,51605736,51715577,51903317,52110765,52278197,52411980,52518018,52538008,52907416,53010012,53341406,53843957,53880771,53955257,54223965,54584597,54871118,55419412,55457650,55584816,55616117,55799657,55811635,55892018,55906112,56099199,56166137,56354683,56395646,56496532,56568341,56765215,56787317,56877372,56933141,57086562,57115241,57177340,57662126,57826443,57838896,58056453,58420286,58420457,58440856,59105259,59184292,59320757,59520843,59965877,60201596,60358841,60679637,60793492,60893141,60895740,61189118,61435400,61754008,62036625,62304151,62309141,62521450,62532918,62692046,62837180,62884426,62891335,62894376,63441566,63469732,63886841,64143775,64374377,64533579,64955456,65068758,65137337,65162755,65745963,65758697,66172400,66343157,66426686,66480341,66549180,66897496,66973962,67164341,67198457,67204372,67210035,67244947,67417118,67709237,67740610,68018619,68118258,68218217,68387477,68450515,68612808,68622771,68691641,69114825,69464536,69473259,69510835,69834857,69883118,70736117,70756173,70985792,71035241,71234297,71296216,71355806,71499257,71690704,72076615,72219931,72323957,72597603,72777320,72816377,73074888,73380055,73722480,73795817,73853125,73990841,74218855,74443950,74477141,74502043,74508987,74589208,74929397,74961641,75025740,75259683,75404616,75412217,75469602,76754537,76972530,77167157,77189409,77357141,77546837,78147603,78195306,78637312,78711836,79114255,79396841,79406880,79845740,79859016,79901716,79948855,80027456,80172341,80208243,80506690,80604437,80652042,81065657,81288732,81693775,81738857,81842415,81874485,81891317,81982697,82104032,82140618,82165241,82195637,82209249,82235726,82252696,82347497,82801877,82937790,83109147,83345176,83413002,83825141,83912859,83974841,84094457,84130435,84601397,84700672,84830193,84868841,85046777,85143316,85336107,85383067,85431317,85490357,85561118,85892056,86002280,86232415,86459897,86489141,86491938,87071467,87298576,87332784,87747099,87969977,88056066,88097235,88153555,88154126,88372841,88466976,88487657,88623750,88701175,88798936,88802741,89005930,89062626,89327006,89332740,89767400,89793655,89841393,89940341,90029006,90030888,90363641,90433135,90496286,90504341,91036771,91372217,91511477,91768183,91894735,92038841,92367036,92534283,92591918,92700857,92838197,93089650,93112277,93469972,93576377,93751339,93763323,93970384,94238296,94300419,94532000,94556163,94586492,94901141,94937106,95288256,95814888,95822587,95828606,95938626,95941817,96064210,96391637,96410008,96608028,96628563,96752565,96772300,96786617,96847167,97022741,97207118,97469625,97786450,97908917,97960757,98032530,98045643,98121316,98210898,98249382,98500335,98580446,98683157,99118697,99134191,99446186,99493118,99525348,99577337,99720926,99898803,...,3786297365351789984902198032566306335421843167699825490956155039344005874953295204890343583781973047257897160392052716513847649268603402464883269085075348975698341064009357420135967835173344080540366975784272671502632728678484498727732085740756672128668014359892320337952205831419586649691657287038631044482925863398630179363666033543752179068229417614918662506254252371311196544480869756786486172645289220389291736394657884949782330097098408532539819887208465475389217091674869734275895308951851636816691003433360114734645916340055029112017677001502252169829691927542425240350052782215356079057016867519623046533533831946353689601416821692763917086900067501385899146268838334111289881539476605696888757727549667154457680024312283878422064814867124701642976918374388928612302440303418261857075009381876170698939780708185499905453419647313712902667240365305043483447646435226669981066962461200387902505503905124525102013021893190873950221271353233842179027366590677605467845567852041334943136732099629796651198094733325679268384968278523272869753300957736756352169556689241901957942482711601814888577705127794021221569988639314734921625027488389322830821258433293512458597076321245728707851388424191395236171365762742382781319885481328967719200259380577955528251560054581916613995607026143344806051471361892669217242996101848693847766908500581077222475890225740142485767388230542791274070318628143361418095055766546563430457216618741946361793251309144947744054922018864725012188850039567015869292972337328114180806809258490802387293001263169145556747314282855738641510403852023821986658711016920369182605162505948169491797485383999997352638494340076535910204248898356396952259546416994384049429703549143431325855478051860768010031100443440591450438603991933760531342019385527550495080714374527741336296887632584511364501699193814359767147632363927042579834638783862513206739822478571247390537135751165347652354218718674697171478782458579668397887995018125830365134737427675919838171222202498877120331522245394606034343850754076187908480687506721986377449870602726128806275538621979326237370651505762869294344959667277527866534138797255278942495474361378252554890989081422394993284699731924695047257697499299166371419207853351441444308975074419478298518258491385957628504121211494388944459072812942707606669123495217775002123178290717196667059772185485034196220793977544922702892630345667269296070257988925154166786682060849261199057666699282557136593213160087720030169640674333163664204422677965180186458723750256017185749114629255255646743044392668771857203288849239848166361342987235520952041339037957730515150485879452010207913974013434809626726705396789311902066869613136121925416832945717837805732463363771740233451762077592192875153148769335449174819017217835160699048271509680114284872532101117695240956843950380065916353556438539487719283917781847175968726765377126703793140924674624830476362744446890892357642888150101992507767256180293313522447897659726533907543405226922832655419681652117402259537066095259290573644976223905660496921564661183476416867823212583255270887844719042207896280894144584411576481872705187111212138214676116023533571633273425579542101310968293622452135252036826934239498853237365969014397791691756541100588075660736162553467459631896239327627658047297368217913200222839583974970410209669400098739901775064935971572994675586012246190676029992883590071014717915697801897456157124570723138446979325095958005970069830137618138154912372996195260216559639028901534009616209664774907858452023003948496920586637620737886091540884927033022928725422335994410415738739088088548528642792886142884117074291185440534341614372303374543175311205454932691279251606762580205747445752426963782987655847467893141362044696516132423164394293534315129}
23659 218811521631793255784638219718137074926654060988175739676581657113677422065955: {1630677,2055549,3143189,3328869,3661565,3752877,3804269,3993977,4393878,4490270,4795469,4938461,5222009,5388324,5434670,5624654,5835869,6292389,6521604,6759038,6850670,7063277,7106309,7195865,7559229,7607894,7630229,8035220,8220804,8607065,8635038,8755229,8837246,9642264,9743909,9876086,10151870,10328478,10443134,10847547,10868420,11355929,11425145,11438372,11719757,11953238,12182244,12507470,12570628,13042104,13194077,13551566,13654094,13710174,13864269,13905701,13919870,14418989,14672367,14679749,15008964,15530774,15973204,16255577,16592909,16703844,16742510,16789989,16978829,17204824,17250869,17379197,17672996,17958040,18040629,18383621,18445145,18619349,19217726,19355427,19359380,20082749,20091012,20202795,20971070,21068549,21215501,21243065,21549648,22134174,22186820,22195389,22328438,22494808,23042175,23231256,23333477,23339524,24203309,24243354,24255470,24401366,24453497,24578320,24883886,25090869,25139128,25160798,25165284,25306659,25315289,25424477,25491678,26017118,26125565,26135163,26434301,26599070,26624184,27031576,27255449,27296115,27384854,27509438,27650610,28223261,28281519,29106564,29115856,29357006,29411669,29493984,29692574,29695289,29952207,30126975,30410523,30426424,31350678,31645109,31693109,31918884,31943704,32135440,32487789,32495375,32687429,32742749,32755338,32897006,33069965,33180732,33298286,33351929,33657878,33668475,34229727,34357517,35365061,35772377,35913040,35936667,35945261,36152370,37149389,37235534,37701614,38562528,38598429,38994450,39028517,39121220,39409509,39497656,39562277,39683958,39693518,40402170,40530595,40749675,40959446,41029077,41216789,41433429,41594080,41765464,41869529,41938580,42016670,42174195,42579812,42645189,42803069,42886635,43026038,43095648,43382844,43466320,44237956,44434863,44496398,44565197,44985808,45062877,45155019,45171341,45275870,45513689,45745744,45782909,45970757,46061909,46124606,46293989,46556948,46793340,46945464,46986147,47071677,47303486,47568980,48482604,48636714,48732701,48899610,48917848,48936197,49475109,49870169,49912896,49956644,50207375,50253566,50326296,50420004,50609034,50679915,50844638,51135749,51438029,51463962,51848957,52159584,52515509,52767364,52790777,52813647,53005145,53177177,53193620,53700077,53755975,54034757,54058576,54331044,54655869,55032579,55410806,56152008,56411645,56441726,56617083,56836024,57082776,57430389,57490478,57671501,57900850,58493294,58513901,58535309,58679532,58916057,59764109,60036207,60248850,60487565,60588309,60657389,60781469,60815898,62112568,62384189,62729366,62972804,63171009,63197080,63284846,63340149,63583766,63605849,63606174,63680155,63832344,63940527,64218123,64265440,64281806,64507170,64516269,64944101,65265557,65479934,65514975,65672510,65979039,66134270,66262515,66360388,66472149,66477854,67693974,67844669,68669789,68807648,68812077,69134078,69201309,69274265,69481020,69712409,69876639,69882640,70024024,70620665,70680016,70757717,70856126,71096715,71211437,71471675,71811387,71841028,71971109,72288269,72298620,72585078,72633494,72927029,73051070,73980365,74113088,74479829,74798932,75119909,75155549,75251995,75836496,75991865,76115416,76119675,76242821,76386254,76416186,76794250,76956758,77023166,77101924,77118528,77192510,77408604,77699069,78546475,78617970,78777027,78807012,79117838,79337165,79361124,79515018,79642718,79955189,80012109,80675501,80762309,80832926,81194320,82224086,82306677,82426574,82458509,82715500,83129118,83186475,83377224,83380046,83586989,83621870,83838027,83859168,84005465,84046997,84151769,84358757,84593469,84716861,84744798,85316058,85629843,85766010,85980149,86044772,86208086,86413877,86493189,86758344,86830670,87205886,87581177,87630429,87661284,88000277,88732240,88776438,89120270,89144671,89298616,89338238,89613380,90302394,90335006,90691492,90824344,90971650,91190238,91343610,91483744,91497028,91558046,91783677,91933646,92153100,92254757,92429774,92631012,93145949,93236510,93782175,93799377,94038069,94255770,94326639,94341564,94941977,95162349,95204598,95257814,95421317,95677046,95717909,95810414,96171197,96661229,96796804,97007726,97008461,97433184,97603137,98291129,98296640,98389795,98860349,99217829,99258600,99345316,99640029,99807175,99823770,99877145,...,5048396487135719979869597376755075113895790890266433987941540052458674499937726939853791445042630729677196213856070288685130199024804536619844358780100465300931121418679143226847957113564458774053822634379030228670176971571312664970309447654342229504890685813189760450602941108559448866255543049384841392643901151198173572484888044725002905424305890153224883341672336495081595392641159675715314896860385627185722315192877179933043106796131211376719759849611287300518956122233159645701193745269135515755588004577813486312861221786740038816023569335336336226439589236723233653800070376287141438742689156692830728711378442595138252801889095590351889449200090001847865528358451112148386508719302140929185010303399556205943573365749711837896086419822832935523969224499185238149736587071224349142766679175834894265253040944247333207271226196418283870222987153740057977930195246968893308089283281600517203340671873499366802684029190921165266961695137645122905369822120903473957127423802721779924182309466173062201597459644434239024513291038031030493004401276982341802892742252322535943923310282135753184770273503725361628759984852419646562166703317852430441095011244391349944796101761660971610468517898921860314895154350323177041759847308438623625600345840770607371002080072775888818660809368191126408068628482523558956323994802464925130355878000774769629967853634320189981023184307390388365427091504191148557460074355395417907276288824989261815724335078859930325406562691819633349585133386089354492390629783104152241075745677987736516390668350892194075663085710474318188680538469365095982211614689227158910140216674597559322396647178666663136851325786768714546938998531141862603012728555992512065906271398857908434473970735814357346708133924587455267251471989245014041789359180703400660107619166036988448395850176779348486002265591752479689530176485236056773112851711816684275653096638094996520716181001553796869805624958232929561971709944772891197183993357501107153512983236901226450894962936665169493775362993859474712458467672101583877974250008962648503266494136968171741700718162639101649827535341017159059126612889703370488712185063007038589993965815171003406521318775229859991046266309232926729676929999065555161892277137801921925745300099225971064691011321847943504672161615325851925945430417256943475558831326957033336164237720956262222746362913980045594961058636726563603856840460889692394760343985233538889048909414465681598743555599043409515457617546783626706892854232444218218939230237286906915278298333674689580998819505673674195657392523558362476271051798986464221815123982980694602721785383943640686867314505936013610551965351246412835635607195719082536089159484181495900555777260957117074309951151695653644602349436789590500204198359113932233092022957113547598731028679573485713163376134823593654609125267173421221804741918052650292378557042462901291635687169502271724187899566166440635150325929187856476857184200135990010356341573724418029930530212968711876724540302563776873892908869489869679382754793679054098193301631874213995895419548244635222490430950111007027850459625389610528374525526112548768642496940249481616184286234821364711428844364567439389468414624391496602847002715769245652665137649821292019197055589008721467450767547648216737956612842528319103503544063063157623884266963786111966627213612892533464986535700086581295430659567448016328254234706657178120094686290554263735863274876166094297517929305766794610674626759773516824184206549830661593680288746185371868712012821612886366543811269364005264662560782183494317181455387846569377363904967229781325880554318318784118064704857057181523845489432388247254045788819163071166057567081607273243588372335475683440274329927669902618377316874463290524188482726262021509897552525724712420172}
23660 219585471242311473808640459683659051515559184115101131474886364294574007517144: {732499,874051,1370482,1439539,1464874,1580731,1862899,2174236,2285611,2426371,2740732,2784682,3549859,3830011,4438492,4570834,4758514,5003836,5133682,5365699,5858504,5976874,6590817,6735405,7005682,7184432,8082486,8135539,8152005,8389852,8436981,8548531,8695472,9336682,9509659,9782406,9894634,10044025,10057291,10078972,10138557,10276005,10603771,10637674,10740211,10961072,11285251,11286994,11411841,11513384,12052830,12331206,12856352,12952557,13255869,13585525,13771304,13858459,13993171,14262379,14297965,14463396,14531299,14799931,14814129,15054221,15227805,15442474,15492717,15664701,15713285,15718354,16177834,16242992,16302630,16938619,17095594,17157558,17389472,17645482,17929857,18103282,18273366,18280232,18485692,18761205,18855942,19454371,19563156,19682957,19966505,19980691,20011952,20021674,20112091,20327349,20481141,20565261,20841682,20879805,20898979,21205714,21387634,21506030,21996737,22091245,22271792,22386652,22447550,22464979,22513446,22749994,22854859,23112682,23114419,23296161,23503219,23652629,23959806,24054172,24199225,24536851,24665731,25012594,25055766,25113765,25180531,25437499,25476374,25807236,26365354,26509494,26623121,26635474,26788016,26937060,27085354,27228211,27624682,27714514,27733525,27950741,28118510,28432594,28522282,28625299,28732864,28826589,28878379,29039070,29060074,29174405,29507794,29512232,29593852,29776234,30136518,30722900,30767299,30975008,31423910,31447537,31456605,32324472,32640019,33012619,33201261,33280230,33454492,33492657,33553712,33742212,33789470,33879499,33988904,34249939,34406314,34560449,34619731,34672114,34846884,35009286,35234611,35480059,35498912,35725219,35998954,36365031,36383205,36394820,36440434,36458971,36544781,36581011,36602049,36702979,36867480,37311739,37325829,37708692,37741197,37747926,37797451,38033030,38237517,38808752,39025677,39127219,39325312,39362582,39368059,39898605,39929630,39936276,40027526,40133074,40169300,40547364,40567939,40807051,41077281,41264157,41270314,41475915,41794282,41800904,41998291,42558512,42579154,42753394,42803117,43064251,43300339,43317052,43536139,43659846,43673784,43884394,43915157,44035509,44240976,44538861,44891300,44944891,45639636,45878299,45994651,46110931,46138282,46224754,46459339,46807099,47002282,47026017,47301254,47878326,47915556,48203160,48536179,48765499,48901525,49069354,49133007,49241194,49345509,49372070,49731521,49771098,49907779,49947429,50013682,50021611,50356594,50486817,50589691,50703091,51416704,51464572,51992600,52206830,52283131,52395451,52423225,52546012,52911944,52955971,53224765,53291419,53626219,53869560,54228555,54332900,54348497,54621394,54626731,54705436,55244572,55297445,55621411,55841659,55853301,55977682,56171491,56232260,56552421,56829211,56860252,57157099,57161074,57182180,57460864,57667282,57751594,57843792,58196185,58462171,58491675,58681830,59246484,59326459,59461225,59525937,59540277,59971651,60083836,60206692,60507331,60603255,60943594,61147310,61147771,61271021,61439169,61529074,61845014,62280682,62315179,62391120,62445805,62593952,62648196,62762236,62842939,62907870,63025005,63053539,63158731,63530482,63869718,63893059,64539057,64643472,64848952,65074266,65143699,65199480,65765131,65936554,65959205,65966812,65971699,66356934,66383971,66432682,66492025,66550528,66600989,66692419,66744597,66928234,67101728,67205059,67226672,67307371,67409611,67478712,67511779,67573220,67913805,68428051,68493682,68618616,68732179,69186909,69233194,69546112,69725482,69835422,70190010,70418196,70543339,70743139,70842931,70871914,70955229,71045030,71340811,71353470,71362282,71443954,71539459,71688874,71737819,72429811,72441392,72723906,72725299,72823651,72874492,72955071,73317994,73349415,73376772,73803211,74317958,74387491,74535634,74869344,74934966,74969179,75355531,75380349,75489444,75507154,75630006,75913551,76110368,76220611,76266957,76557034,76573852,77174971,77195943,77640710,77744131,77765074,78136289,78166954,78239376,78716005,78996350,79151046,79436059,79471301,79529371,79790430,80048276,80331800,80643499,80784412,81012571,81087864,81104659,81380491,81496566,81526954,82021579,82204099,82386331,82720114,82840651,82843981,82950485,82958314,83116209,83653891,83909674,84228012,84453532,84662589,84808232,85085251,85109792,85254036,85351579,85440211,85624164,86009560,86021692,86235717,86498179,86514034,86851275,87064234,87353300,87530030,87545779,87739941,87972052,88019298,88047869,88350020,88410859,88629532,89335282,89801285,89803474,90115282,90258632,90373275,90504682,90542059,91223847,91227857,91670482,91749436,91965571,91980754,92135794,92268412,92641360,92875579,93168852,93286339,93498665,93613651,94094049,94345891,94459206,94750171,94795620,94836854,94911379,94927269,95144270,95375649,95409261,95553331,95713099,95748516,95830721,95914282,96111259,96349291,96374314,96377405,96398160,96422709,96428491,96760755,96780104,96986794,97059499,97315169,97521874,97919611,98219901,98508765,98665834,98693971,99001699,99078451,99155131,99201405,99231739,99540582,99613699,99716781,99730282,99806194,...,7572594730703579969804396065132612670843686335399650981912310078688011749906590409780687167563946094515794320784105433027695298537206804929766538170150697951396682128018714840271935670346688161080733951568545343005265457356968997455464171481513344257336028719784640675904411662839173299383314574077262088965851726797260358727332067087504358136458835229837325012508504742622393088961739513572972345290578440778583472789315769899564660194196817065079639774416930950778434183349739468551790617903703273633382006866720229469291832680110058224035354003004504339659383855084850480700105564430712158114033735039246093067067663892707379202833643385527834173800135002771798292537676668222579763078953211393777515455099334308915360048624567756844129629734249403285953836748777857224604880606836523714150018763752341397879561416370999810906839294627425805334480730610086966895292870453339962133924922400775805011007810249050204026043786381747900442542706467684358054733181355210935691135704082669886273464199259593302396189466651358536769936557046545739506601915473512704339113378483803915884965423203629777155410255588042443139977278629469843250054976778645661642516866587024917194152642491457415702776848382790472342731525484765562639770962657935438400518761155911056503120109163833227991214052286689612102942723785338434485992203697387695533817001162154444951780451480284971534776461085582548140637256286722836190111533093126860914433237483892723586502618289895488109844037729450024377700079134031738585944674656228361613618516981604774586002526338291113494628565711477283020807704047643973317422033840738365210325011896338983594970767999994705276988680153071820408497796712793904519092833988768098859407098286862651710956103721536020062200886881182900877207983867521062684038771055100990161428749055482672593775265169022729003398387628719534295264727854085159669277567725026413479644957142494781074271502330695304708437437349394342957564917159336795775990036251660730269474855351839676342444404997754240663044490789212068687701508152375816961375013443972754899741205452257612551077243958652474741303011525738588689919334555055733068277594510557884990948722756505109781978162844789986569399463849390094515394998598332742838415706702882888617950148838956597036516982771915257008242422988777888918145625885415213338246990435550004246356581434393334119544370970068392441587955089845405785260691334538592140515977850308333573364121698522398115333398565114273186426320175440060339281348666327328408845355930360372917447500512034371498229258510511293486088785337543714406577698479696332722685974471041904082678075915461030300971758904020415827948026869619253453410793578623804133739226272243850833665891435675611464926727543480466903524155184385750306297538670898349638034435670321398096543019360228569745064202235390481913687900760131832707112877078975438567835563694351937453530754253407586281849349249660952725488893781784715285776300203985015534512360586627044895795319453067815086810453845665310839363304234804519074132190518581147289952447811320993843129322366952833735646425166510541775689438084415792561788289168823152963745410374222424276429352232047067143266546851159084202621936587244904270504073653868478997706474731938028795583383513082201176151321472325106934919263792478655255316094594736435826400445679167949940820419338800197479803550129871943145989351172024492381352059985767180142029435831395603794912314249141446276893958650191916011940139660275236276309824745992390520433119278057803068019232419329549815716904046007896993841173275241475772183081769854066045857450844671988820831477478176177097057285585772285768234148582370881068683228744606749086350622410909865382558503213525160411494891504853927565975311694935786282724089393032264846328788587068630258}
23661 220362140550834855513220780384168228813660677832371676072853871918690652604534: {2055723,2197311,2717795,3261354,3425915,4111098,4177023,4419371,5126191,5548115,5836363,5977631,6254795,6286378,6657738,6828203,6856251,7137771,7323130,7505754,7608538,7700523,7987954,8527903,8787756,8965311,8980540,9590938,9876922,10074211,10444018,10487315,10508523,10647659,10776648,10869340,11249308,11671738,12049891,12123729,12202751,12584778,12598715,13043208,13518076,13701340,14005023,14126554,14212618,14391730,14673609,14841951,15118458,15215788,15260458,15747203,15956511,15995203,16070440,16441608,16451291,16930491,17214130,17270076,17510458,17674492,18079245,18496809,19280383,19284528,19487818,19752172,19850123,20303740,20539051,20656956,20886268,21516671,21695094,21736840,22678639,22711858,22850290,22876744,23066219,23107115,23163711,23439514,23577531,23906476,24266751,24364488,24453945,25014940,25141256,25643391,25736337,25823203,26084208,26162939,26388154,26468223,27061171,27103132,27154923,27308188,27330379,27410049,27420348,27728538,27811402,27839740,27983315,28283913,28837978,29256491,29344734,29359498,29740291,30017928,30032511,30067715,31061548,31262523,31808571,31946408,32081451,32259045,32511154,33185818,33244571,33354763,33407688,33485020,33579978,33671325,33770169,33957658,34124991,34409648,34501738,34669023,34758394,35345992,35368063,35916080,35939709,36081258,36575791,36767242,36890290,36992315,37238698,37517371,37518891,37583649,38214561,38403625,38435452,38484911,38710854,38718760,39548031,39764241,39953211,40165498,40182024,40405590,40628031,41437023,41571771,41818115,41942140,42137098,42177765,42431002,42480763,42486130,42648891,42783423,42813803,43099296,43558605,43590111,44261691,44268348,44373640,44390778,44656876,44664351,44989616,45203051,45204777,45493525,46065823,46084350,46124611,46297951,46462512,46666954,46679048,47135865,48204803,48406618,48486708,48510940,48512099,48802732,48906994,48940351,49156640,49287359,49767772,49920345,50181738,50211625,50278256,50321596,50330568,50613318,50630578,50684205,50848954,50983356,51211091,51609471,52008171,52034236,52059503,52251130,52270326,52513929,52868602,53181691,53198140,53248368,53309491,53998431,54063152,54146315,54510898,54592230,54660651,54676451,54769708,55018876,55301220,56114125,56446522,56563038,56621889,56682443,56742833,56994059,57049545,57909791,58213128,58231712,58397803,58690451,58714012,58823338,58987968,59043873,59385148,59390578,59894445,59904414,60017771,60041289,60199611,60253950,60821046,60852848,61790011,61905471,62691423,62701356,63290218,63386218,63837768,63868731,63887408,64130091,64270880,64330715,64604639,64975578,64990750,65374858,65485498,65489769,65510676,65682515,65794012,65826591,66139930,66361464,66596572,66703858,67315756,67336950,67916125,68381795,68459454,68551139,68715034,68922299,69055715,69207423,69337131,70290325,70503423,70730122,70951881,71075315,71477725,71544754,71817489,71826080,71873334,71890522,72233579,72304740,73604031,73637723,73861791,74058105,74207203,74298778,74471068,74656647,75020523,75104795,75258365,75279611,75403228,75534891,77125056,77196858,77988900,78057034,78242440,78310245,78452795,78524003,78819018,78976303,78995312,79124554,79367916,79387036,79842719,79961983,80096411,80804340,81061190,81362171,81499350,81918892,81932091,82058154,82433578,82458515,82866858,83188160,83530928,83739058,83877160,83966523,84033340,84158971,84348390,84466525,84682591,85159624,85290378,85606138,85741611,85773270,85864619,86052076,86191296,86500923,86627391,86765688,86932640,87588619,88022745,88475912,88569731,88869726,88992796,89130394,89152217,89971616,90125754,90310038,90342682,90366203,90462251,90551740,91027378,91093115,91415391,91491488,91565818,91720965,91794431,91941514,91976159,92123818,92249212,92293611,92587978,92767521,93113896,93421023,93586680,93890928,93934879,93972294,94143354,94361805,94606972,95137960,95295723,95717315,95804577,96580703,96965208,96983971,97273428,97465402,97611399,97799220,97835696,97872394,98571359,98868931,98904831,98950218,99535401,99649023,99740338,99825792,99913288,...,11358892096055369954706594097698919006265529503099476472868465118032017624859885614671030751345919141773691481176158149541542947805810207394649807255226046927095023192028072260407903505520032241621100927352818014507898186035453496183196257222270016386004043079676961013856617494258759949074971861115893133448777590195890538090998100631256537204688252844755987518762757113933589633442609270359458517935867661167875209183973654849346990291295225597619459661625396426167651275024609202827685926855554910450073010300080344203937749020165087336053031004506756509489075782627275721050158346646068237171050602558869139600601495839061068804250465078291751260700202504157697438806515002333869644618429817090666273182649001463373040072936851635266194444601374104928930755123166785836907320910254785571225028145628512096819342124556499716360258941941138708001721095915130450342939305680009943200887383601163707516511715373575306039065679572621850663814059701526537082099772032816403536703556124004829410196298889389953594284199977037805154904835569818609259902873210269056508670067725705873827448134805444665733115383382063664709965917944204764875082465167968492463775299880537375791228963737186123554165272574185708514097288227148343959656443986903157600778141733866584754680163745749841986821078430034418154414085678007651728988305546081543300725501743231667427670677220427457302164691628373822210955884430084254285167299639690291371649856225839085379753927434843232164766056594175036566550118701047607878917011984342542420427775472407161879003789507436670241942848567215924531211556071465959976133050761107547815487517844508475392456151999992057915483020229607730612746695069190856778639250983152148289110647430293977566434155582304030093301330321774351315811975801281594026058156582651485242143123583224008890662897753534093505097581443079301442897091781127739503916351587539620219467435713742171611407253496042957062656156024091514436347375739005193663985054377491095404212283027759514513666607496631360994566736183818103031552262228563725442062520165959132349611808178386418826615865937978712111954517288607883034879001832583599602416391765836827486423084134757664672967244267184979854099195774085141773092497897499114257623560054324332926925223258434895554775474157872885512363634483166833377218438828122820007370485653325006369534872151590001179316556455102588662381932634768108677891037001807888210773966775462500360046182547783597173000097847671409779639480263160090508922022999490992613268033895540559376171250768051557247343887765766940229133178006315571609866547719544499084028961706562856124017113873191545451457638356030623741922040304428880180116190367935706200608839408365776250498837153513417197390091315220700355286232776578625459446308006347524457051653505482097144814529040342854617596303353085722870531851140197749060669315618463157851753345541527906180296131380111379422774023874491429088233340672677072928664450305977523301768540879940567343692979179601722630215680768497966259044956352206778611198285777871720934928671716981490764693983550429250603469637749765812663534157126623688842682433753234729445618115561333636414644028348070600714899820276738626303932904880867356405756110480802718496559712097907043193375075269623301764226982208487660402378895688717982882974141892104653739600668518751924911230629008200296219705325194807914718984026758036738572028089978650770213044153747093405692368471373712169415340937975287874017910209490412854414464737118988585780649678917086704602028848628994324723575356069011845490761759912862213658274622654781099068786176267007983231247216217264265645585928378658428652351222873556321603024843116910123629525933616364798073837754820287740617242337257280891348962967542403679424086134089548397269493182880602945387}
23662 221141539052290129871166799029377609437054208594183284215738037993172027037698: {685357,1251277,1392577,1464998,1748102,2379661,2661037,2740964,2879078,2929748,3082561,3161462,3725798,4348472,4571222,4852742,4892031,5481464,5569364,6153937,6166647,6847117,7099718,7660022,8876984,8915857,9141668,9429567,9517028,9986607,10007672,10267364,10695661,10731398,10984695,11225675,11258631,11412807,11648977,11717008,11953748,11981931,13004737,13181634,13470810,13586675,13814737,14011364,14061635,14368864,14386407,14756461,14815383,15158977,15666027,16095661,16164972,16271078,16304010,16496017,16779704,16873962,16897595,17097062,17126675,17390944,17427661,17507607,18488077,18673364,18877167,19019318,19019735,19564812,19789268,20017151,20088050,20114582,20157944,20277114,20552010,20726161,21189831,21207542,21275348,21318927,21380461,21480422,21587595,21641677,21922144,21998599,22032961,22093115,22293457,22570502,22573988,22677687,22823682,22890687,23026768,23073217,23721037,24105660,24624961,24662412,24690215,25379675,25712704,25821195,25905114,25910161,26107835,26265687,26511738,26550061,26805517,27171050,27542608,27570157,27716918,27953107,27986342,28524758,28595930,28926792,29062598,29231727,29470417,29599862,29628258,29883095,30108442,30455610,30884948,30927743,30985434,31268675,31329402,31426570,31436708,31450199,31854157,32355668,32485984,32542641,32605260,33877238,33878915,34067787,34135235,34191188,34275435,34315116,34335277,34704961,34778944,34799675,34951057,35159271,35290964,35859714,36206564,36546732,36560464,36971384,37165271,37522410,37711884,38002957,38826935,38908742,39126312,39365914,39572161,39582231,39812497,39933010,39961382,40023904,40043348,40224182,40654698,40844167,40962282,41129197,41130522,41592807,41683364,41717103,41759610,41797958,41856275,42318637,42411428,42775268,42910657,43012060,43256967,43993474,44017101,44039247,44182490,44543584,44558737,44773304,44895100,44929958,45026892,45260737,45499988,45709718,46076461,46225364,46228838,46592322,47006438,47305258,47919612,48042817,48044315,48108344,48398450,48592511,48766731,49073702,49331462,49778727,49874497,50025188,50111532,50227530,50361062,50369967,50874998,50896717,50936487,50952748,51614472,51752607,51800461,51899731,52137591,52427675,52730708,53018988,53246242,53270948,53576032,53874120,54121887,54170708,54456422,55150863,55249364,55335435,55429028,55467050,55821095,55858047,55901482,56237020,56579137,56865188,57044564,57250598,57344461,57465728,57653178,57756758,58066281,58078140,58120148,58214797,58348810,59015588,59024464,59187704,59552468,60248247,60263377,60273036,60370477,60608385,60638675,61003415,61437517,61445800,61534598,61950016,61968337,62209715,62391697,62847820,62895074,62901995,62913210,63205647,63646503,63729195,64073617,64648944,65042795,65280038,65840461,66025238,66356161,66402522,66497675,66560460,66586167,66908984,66985314,67107424,67484424,67578940,67688557,67758998,67977808,68462135,68499878,68773595,68812628,69109837,69120898,69126525,69239462,69344228,69693768,69915661,70000431,70018572,70469222,70960118,70997824,71115757,71215297,71450438,71997908,72609927,72730062,72766410,72789640,72880868,72917942,73089562,73162022,73204098,73360491,73386961,73392515,73405958,73734960,73875661,74231435,74514671,74623478,74651658,75272607,75417384,75482394,75495852,75594902,75812461,75919977,75945867,76066060,76273431,76475034,77246161,77416423,77436097,77617504,78051354,78254438,78376695,78405489,78650624,78663661,78725164,78736118,79302903,79797210,79859260,79872552,79879057,80055052,80064961,80266148,80338600,81094728,81135878,81474659,81614102,81766347,81888345,82154562,82182157,82242515,82364461,82528314,82540628,82637377,82818961,82951830,83000257,83090797,83245715,83588564,83601808,83996582,84144695,84350797,84669783,84844557,85117024,85158308,85506788,85508161,85606234,85950061,86128502,86565697,86600678,86634104,87072278,87319692,87347568,87424127,87439057,87768788,87830314,88071018,88235007,88391437,88481952,88557359,89077722,89085867,89164177,89782600,89846161,89856621,89889782,90380925,90439117,91231569,91279272,91756598,91781197,91989302,92196817,92221862,92276564,92342887,92362561,92449508,92528017,92918678,93088835,93614198,94004564,94052034,94254035,94602508,94935327,95079327,95756652,95831112,96406320,96807661,97072358,97436077,97463367,97486125,97530998,97748557,97803050,97906523,97982161,98062287,98138708,98228247,98266014,98482388,98524717,98691018,98744140,99209895,99233795,99463042,99522961,99542196,99815558,99894858,...,15145189461407159939608792130265225341687372670799301963824620157376023499813180819561374335127892189031588641568210866055390597074413609859533076340301395902793364256037429680543871340693376322161467903137090686010530914713937994910928342963026688514672057439569281351808823325678346598766629148154524177931703453594520717454664134175008716272917670459674650025017009485244786177923479027145944690581156881557166945578631539799129320388393634130159279548833861901556868366699478937103581235807406547266764013733440458938583665360220116448070708006009008679318767710169700961400211128861424316228067470078492186134135327785414758405667286771055668347600270005543596585075353336445159526157906422787555030910198668617830720097249135513688259259468498806571907673497555714449209761213673047428300037527504682795759122832741999621813678589254851610668961461220173933790585740906679924267849844801551610022015620498100408052087572763495800885085412935368716109466362710421871382271408165339772546928398519186604792378933302717073539873114093091479013203830947025408678226756967607831769930846407259554310820511176084886279954557258939686500109953557291323285033733174049834388305284982914831405553696765580944685463050969531125279541925315870876801037522311822113006240218327666455982428104573379224205885447570676868971984407394775391067634002324308889903560902960569943069552922171165096281274512573445672380223066186253721828866474967785447173005236579790976219688075458900048755400158268063477171889349312456723227237033963209549172005052676582226989257131422954566041615408095287946634844067681476730420650023792677967189941535999989410553977360306143640816995593425587809038185667977536197718814196573725303421912207443072040124401773762365801754415967735042125368077542110201980322857498110965345187550530338045458006796775257439068590529455708170319338555135450052826959289914284989562148543004661390609416874874698788685915129834318673591551980072503321460538949710703679352684888809995508481326088981578424137375403016304751633922750026887945509799482410904515225102154487917304949482606023051477177379838669110111466136555189021115769981897445513010219563956325689579973138798927698780189030789997196665485676831413405765777235900297677913194073033965543830514016484845977555777836291251770830426676493980871100008492713162868786668239088741940136784883175910179690811570521382669077184281031955700616667146728243397044796230666797130228546372852640350880120678562697332654656817690711860720745834895001024068742996458517021022586972177570675087428813155396959392665445371948942083808165356151830922060601943517808040831655896053739238506906821587157247608267478452544487701667331782871351222929853455086960933807048310368771500612595077341796699276068871340642796193086038720457139490128404470780963827375801520263665414225754157950877135671127388703874907061508506815172563698698499321905450977787563569430571552600407970031069024721173254089791590638906135630173620907691330621678726608469609038148264381037162294579904895622641987686258644733905667471292850333021083551378876168831585123576578337646305927490820748444848552858704464094134286533093702318168405243873174489808541008147307736957995412949463876057591166767026164402352302642944650213869838527584957310510632189189472871652800891358335899881640838677600394959607100259743886291978702344048984762704119971534360284058871662791207589824628498282892553787917300383832023880279320550472552619649491984781040866238556115606136038464838659099631433808092015793987682346550482951544366163539708132091714901689343977641662954956352354194114571171544571536468297164741762137366457489213498172701244821819730765117006427050320822989783009707855131950623389871572565448178786064529692657577174137260516}
23663 221923676274536399329815032564816488334859059451083833156639593027748527934575: {23663,2197497,2622153,3426205,3662185,3804913,4111446,4318617,4394622,4742193,4796281,4939297,5222893,5435590,5588697,5978137,6522708,6828781,6851830,6856833,6961705,7064473,7279113,7535737,7631521,7767361,8222196,8354046,8756713,8838742,9236593,10252382,10649577,11096230,11167057,11427085,11490033,11672726,11896285,11955262,12509590,12572756,12583597,12834205,13315476,13656406,13712502,13758217,14275542,14421433,14646260,14682241,14850061,14942185,15011508,15217076,15311857,15401046,15975908,16097097,16833217,17055806,17253793,17514205,17575512,17638201,17930622,17961080,18386737,18416761,18855601,19181876,19753844,19772451,20086153,20148422,20206215,20888036,20974630,21017046,21219097,21257293,21295318,21553296,21738680,22253857,22498616,23068177,23341705,23343476,24099782,24247458,24405502,24406617,24456015,24736585,25169556,25197430,25310943,25428793,25504033,25645593,26086416,26594185,26681017,27036152,27260077,27402680,28010046,28052077,28217485,28253108,28425236,28528977,28783460,29258977,29347218,29683902,30132075,30171873,30236916,30415671,30431576,30520916,30828015,30919837,31494406,31650481,31811313,31913022,31990406,31999417,32140880,32220633,32349961,32883216,32902582,33247393,33855753,33860982,34235523,34428260,34540152,34575853,35020916,35348984,35641741,36158490,36243997,36993618,37155697,38560766,38569056,38606185,38832301,38857671,38975636,39176641,39295885,39504344,39568993,39639661,39700246,39767607,40444585,40607480,40756575,41078102,41313912,41575377,41772536,41979513,42094801,42738985,42787137,42810337,42817441,42893895,43033342,43390188,43473680,43593897,43614061,44113705,44399793,44442387,44970313,45162663,45258205,45357278,45423716,45683415,45700580,45753488,45790681,46132438,46214230,46218337,46327422,46478151,46879028,46994103,47139855,47155062,47812952,47850721,48516217,48533502,48728976,48907890,49803457,49878637,50029880,50054185,50282512,50521057,50815857,51286782,51446761,51472674,51646406,51789241,51857761,52104205,52168416,52325878,52776308,52936446,53014285,53469085,53709193,53765075,53789571,54122342,54206264,54309846,54616376,54660758,54681097,54752461,54820098,54840696,55457076,55622804,55679480,55759153,55966630,56118875,56283615,56567826,56874985,56998897,57675956,57781705,58248697,58363113,58512982,58545361,58689468,58695433,58718996,58926061,58992217,59048871,59480582,59517901,59774257,59899515,59942073,60035856,60065022,60135430,60336273,60591577,60982047,61443423,61695783,62123096,62525046,62531485,62639415,62696937,63617142,63690935,63892816,64162902,64518090,65022308,65323561,65913385,65990211,66171613,66209581,66273735,66371636,66489142,66588685,66709526,66815376,66970040,67159956,67342650,67394937,67540338,67713385,67915316,68249982,68564577,68819296,69003476,69034093,69061705,69286285,69338046,69343257,69516788,69888483,70287097,70296275,70482157,70509657,70691984,70736126,70832617,70930093,70957887,71081485,71305705,71832160,71879418,71895097,72162516,72239761,72597675,72650185,72747697,73151582,73534484,73610553,73675561,73769485,73780580,73984630,73997193,74155801,74440585,74477396,75034742,75037782,75167298,75341295,75541593,75804841,76133917,76312497,76350937,76429122,76807250,76870904,76969822,77421708,77437520,77507341,78559775,79096062,79321201,79528482,79869363,79906422,80103217,80330996,80356177,80364048,80811180,81256062,81684633,82874046,83143542,83200575,83636230,83852223,83884280,84003553,84274196,84355530,84473675,84862004,84911761,84961526,84972260,85297782,85366957,85566846,85627606,85875897,86015785,86198592,86479767,86635137,86680285,87117210,87180222,87392881,87523215,87762121,88523382,88536696,88577257,88747280,88781556,88966813,89313752,89328702,89979232,89997385,90053137,90063001,90159793,90406102,90409554,90987050,91064653,91101085,91162381,91955521,91984057,92131646,92168700,92249222,92301897,92595902,92925024,93041761,93333908,93353581,93358096,94271730,94342611,94359577,94369815,95082575,95513737,95734513,96155293,96409606,96678001,96813236,96973416,97021880,97024198,97605464,97659817,97813988,97880702,97920057,98032297,98313280,98406455,98524297,98574718,99037857,99505441,99535544,99603783,99824075,99840690,...,22717784192110739909413188195397838012531059006198952945736930236064035249719771229342061502691838283547382962352316299083085895611620414789299614510452093854190046384056144520815807011040064483242201854705636029015796372070906992366392514444540032772008086159353922027713234988517519898149943722231786266897555180391781076181996201262513074409376505689511975037525514227867179266885218540718917035871735322335750418367947309698693980582590451195238919323250792852335302550049218405655371853711109820900146020600160688407875498040330174672106062009013513018978151565254551442100316693292136474342101205117738279201202991678122137608500930156583502521400405008315394877613030004667739289236859634181332546365298002926746080145873703270532388889202748209857861510246333571673814641820509571142450056291257024193638684249112999432720517883882277416003442191830260900685878611360019886401774767202327415033023430747150612078131359145243701327628119403053074164199544065632807073407112248009658820392597778779907188568399954075610309809671139637218519805746420538113017340135451411747654896269610889331466230766764127329419931835888409529750164930335936984927550599761074751582457927474372247108330545148371417028194576454296687919312887973806315201556283467733169509360327491499683973642156860068836308828171356015303457976611092163086601451003486463334855341354440854914604329383256747644421911768860168508570334599279380582743299712451678170759507854869686464329532113188350073133100237402095215757834023968685084840855550944814323758007579014873340483885697134431849062423112142931919952266101522215095630975035689016950784912303999984115830966040459215461225493390138381713557278501966304296578221294860587955132868311164608060186602660643548702631623951602563188052116313165302970484286247166448017781325795507068187010195162886158602885794183562255479007832703175079240438934871427484343222814506992085914125312312048183028872694751478010387327970108754982190808424566055519029027333214993262721989133472367636206063104524457127450884125040331918264699223616356772837653231731875957424223909034577215766069758003665167199204832783531673654972846168269515329345934488534369959708198391548170283546184995794998228515247120108648665853850446516869791109550948315745771024727268966333666754436877656245640014740971306650012739069744303180002358633112910205177324763865269536217355782074003615776421547933550925000720092365095567194346000195695342819559278960526320181017844045998981985226536067791081118752342501536103114494687775531533880458266356012631143219733095439088998168057923413125712248034227746383090902915276712061247483844080608857760360232380735871412401217678816731552500997674307026834394780182630441400710572465553157250918892616012695048914103307010964194289629058080685709235192606706171445741063702280395498121338631236926315703506691083055812360592262760222758845548047748982858176466681345354145857328900611955046603537081759881134687385958359203445260431361536995932518089912704413557222396571555743441869857343433962981529387967100858501206939275499531625327068314253247377685364867506469458891236231122667272829288056696141201429799640553477252607865809761734712811512220961605436993119424195814086386750150539246603528453964416975320804757791377435965765948283784209307479201337037503849822461258016400592439410650389615829437968053516073477144056179957301540426088307494186811384736942747424338830681875950575748035820418980825708828929474237977171561299357834173409204057697257988649447150712138023690981523519825724427316549245309562198137572352534015966462494432434528531291171856757316857304702445747112643206049686233820247259051867232729596147675509640575481234484674514561782697925935084807358848172268179096794538986365761205890774}
23664 222708561778478618044629471705017117801645380026294384048765312859483400933788: {732623,874199,968543,1370714,1439783,1675103,1957223,2285999,2379863,2426783,2502554,2520599,2785154,2929996,2989199,3496204,3923999,4483343,4759322,5322074,5459423,5481928,5758156,5859496,6165122,6167169,6322924,6591933,6847703,7170599,7451596,7723223,7861199,8153385,8228783,8549999,8687543,8696944,9142444,9705484,9784062,10277745,10696583,10742063,10832999,10962928,11138728,11377943,12057503,12307874,12333294,12531069,12644999,13258113,13321199,13681103,13694234,13860863,13995599,14199436,14802503,14891999,15026183,15204983,15320044,15378573,15715945,15874343,16097063,16644345,16675199,17030303,17340599,17509089,17753968,17831714,17932893,18004199,18283336,18307825,18533783,18764385,18859134,19021345,19034056,19457783,19545599,19686289,19969885,19973214,19984199,20015344,20071823,20203199,20484609,20534728,20568753,21295199,21391322,21413313,21462796,21512999,21947999,21969390,22451350,22517262,22825614,22945463,23101569,23118503,23297954,23434016,23656633,23766263,23907496,23963862,23977345,24627143,24670103,24692305,24755999,25313543,25583709,25955183,26009474,26110045,26168663,26363268,26552423,26627629,26895933,26941620,27173350,27317999,27445343,27615023,27629474,28022728,28123270,28714823,28737728,28772814,29009999,29179345,29512922,29515103,29630766,30222633,30317954,30354383,30605543,30772823,30930361,31332054,31461945,31525569,31942977,32191322,32329944,32542156,32608020,32645903,32992034,33101303,33473183,33559408,33747924,33795190,33885623,34194124,34253350,34338383,34566301,34708103,34781888,34855322,35015214,35240999,35316385,35322863,35531545,35568263,35854199,35979325,36058199,36149673,36371187,36550969,36608253,36668999,36976154,37168417,37346728,37754334,37763903,37796145,38038636,38039470,38151145,38409983,39013823,39129624,39375263,39578536,39816143,40034302,40176100,40229164,40295999,40315888,40554228,40575383,40894199,41104020,41452322,41490599,41609663,41836333,42015069,42362063,42379662,42415084,42550696,42637854,42760922,42960844,43035325,43175190,43283354,43386983,43661999,43776145,43844288,43922593,43997198,44020827,44065922,44186230,44367383,44525853,44562863,44586914,45031199,45141004,45147976,45355374,45647364,45781374,46053536,46080743,46119503,46146434,46467983,47241609,47430481,47442074,47789329,47869533,47985609,48211320,48506999,48621743,48719545,48774623,48889199,49249922,49324824,49353873,49380430,49917143,50030999,50106863,50674823,50759350,50791473,51353999,51425408,51642390,51730199,51810228,51820322,52215670,52405343,52480199,52531374,53023476,53100122,53301503,53611034,53710703,53970599,54237735,54309277,54342100,54357709,55085216,55140314,55374623,55433836,55490427,55631999,55906214,55925663,55972684,56292023,56779645,57049516,57125725,57191860,57427513,57821999,57841149,57853584,58003199,58125196,58256543,58463454,58598785,58940834,59199724,59256516,59445599,59550369,59766190,60216884,60518999,60911220,61230599,61478903,61617153,61769896,61855486,61970868,62009663,62397743,62537350,62644199,62658804,62853140,62873416,62900398,63708314,64114703,64550013,64711336,64971968,65085282,65156423,65210520,65260199,65846903,65970385,66396983,66465599,66705503,67262041,67320599,67593143,67729223,67754476,67757830,68035917,68135574,68270470,68382376,68550870,68630232,68670554,69198657,69321345,69409922,69453023,69491133,69528505,69557888,69599350,69902114,69956063,70318542,70423943,70581928,70732593,70856999,71255543,71354999,71520599,71719428,72094945,72115103,72413128,72444263,72509999,72800253,72936503,73093464,73120928,73361835,73394303,73398745,73426943,73720343,73883063,73942768,74305199,74330542,75044820,75423768,75434999,75531383,75820103,75852143,76005914,76299863,76491263,76930173,77209011,77253983,77469609,77653870,77817484,77822999,78137999,78149533,78252624,78488817,78702983,78731828,79144322,79164462,79404669,79624994,79866020,79922764,80047808,80086696,80104103,80382383,80448364,80721623,81090599,81183513,81277885,81309396,81464769,81688334,81764063,81924564,81991137,82007999,82221023,82230147,82258394,82261044,82372943,82403303,82676183,82857743,82964545,83008823,83185614,83366728,83434206,83519220,83595916,83712550,83949945,84210263,84627743,84637274,84716999,84822856,84851739,84894145,85404781,85517063,85550536,85605599,85821314,85959023,85988423,86024120,86254345,86340599,86513934,86574743,86895985,87093601,87448223,87564143,87769473,87986948,88034202,88062793,88078494,88364980,88429463,88601663,89002343,89087168,89117474,89220873,89546608,89790200,89855663,89859916,90053784,90097533,90203145,90521474,90999976,91059913,91401383,91419436,91540703,91624199,91918105,92152922,92225725,92400023,92450728,92457676,92648063,92950343,93096745,93184644,93224303,93360983,93787569,94012876,94366199,94420223,94610516,95306999,95425713,95627303,95839224,95846989,96085634,96088630,96216688,96244353,96283033,96423023,96502199,96777135,96796900,97185022,97289999,97533462,97629143,97992863,98147404,98662924,98715599,98792663,99023423,99151343,99557454,99686423,99733713,99748994,...,34076676288166109864119782293096757018796588509298429418605395354096052874579656844013092254037757425321074443528474448624628843417430622183949421765678140781285069576084216781223710516560096724863302782058454043523694558106360488549588771666810049158012129239030883041569852482776279847224915583347679400346332770587671614272994301893769611614064758534267962556288271341800768900327827811078375553807602983503625627551920964548040970873885676792858378984876189278502953825073827608483057780566664731350219030900241032611813247060495262008159093013520269528467227347881827163150475039938204711513151807676607418801804487517183206412751395234875253782100607512473092316419545007001608933855289451271998819547947004390119120218810554905798583333804122314786792265369500357510721962730764356713675084436885536290458026373669499149080776825823416124005163287745391351028817917040029829602662150803491122549535146120725918117197038717865551991442179104579611246299316098449210610110668372014488230588896668169860782852599931113415464714506709455827779708619630807169526010203177117621482344404416333997199346150146190994129897753832614294625247395503905477391325899641612127373686891211558370662495817722557125542291864681445031878969331960709472802334425201599754264040491237249525960463235290103254463242257034022955186964916638244629902176505229695002283012031661282371906494074885121466632867653290252762855501898919070874114949568677517256139261782304529696494298169782525109699650356103142823636751035953027627261283326417221485637011368522310010725828545701647773593634668214397879928399152283322643446462553533525426177368455999976173746449060688823191838240085207572570335917752949456444867331942290881932699302466746912090279903990965323053947435927403844782078174469747954455726429370749672026671988693260602280515292744329237904328691275343383218511749054762618860658402307141226514834221760488128871187968468072274543309042127217015580991955163132473286212636849083278543540999822489894082983700208551454309094656786685691176326187560497877397048835424535159256479847597813936136335863551865823649104637005497750798807249175297510482459269252404272994018901732801554939562297587322255425319277493692497342772870680162972998780775669775304686664326422473618656537090903449500500131655316484368460022111456959975019108604616454770003537949669365307765987145797904304326033673111005423664632321900326387501080138547643350791519000293543014229338918440789480271526766068998472977839804101686621678128513752304154671742031663297300820687399534018946714829599643158633497252086885119688568372051341619574636354372915068091871225766120913286640540348571103807118601826518225097328751496511460540251592170273945662101065858698329735876378338924019042573371154960516446291434443587121028563852788910059257168611595553420593247182007946855389473555260036624583718540888394140334138268322071623474287264700022018031218785993350917932569905305622639821702031078937538805167890647042305493898777134869056620335833594857333615162804786015150944472294081950651287751810408913249297437990602471379871066528047301259704188336854346684000909243932085044211802144699460830215878911798714642602069217268331442408155489679136293721129580125225808869905292680946625462981207136687066153948648922425676313961218802005556255774733691887024600888659115975584423744156952080274110215716084269935952310639132461241280217077105414121136508246022813925863622053730628471238563243394211356965757341949036751260113806086545886982974170726068207035536472285279738586640974823867964343297206358528801023949693741648651792796936757785135975285957053668620668964809074529350730370888577800849094394221513264460863221851727011771842674046888902627211038272258402268645191808479548641808836161}
23665 223496205158181458583208950449907000916897901164641055939604243496461994911350: {47326,2056071,3662495,3753831,4177731,4370255,4394994,4796687,5127059,5244306,5837351,6852410,7065071,7138983,7197695,7324370,7609826,7632167,7903655,7983111,8055443,8222892,8529347,8637234,8789244,8905871,9247683,9314495,9484386,9592562,9746387,9878594,10323251,10445786,10871180,11177394,11428055,11956274,12131855,13045416,13197431,13657562,13703660,13713666,13923410,14128946,14558226,14676093,15071474,15263042,15534722,15830903,15997919,16259711,16444392,16597127,16654799,16708092,17513426,17677484,17749295,17967887,18095831,18461811,18473186,18499941,18935543,19150055,19283651,20504764,20541351,20919059,21073907,21299154,21765263,22192460,22334114,22682483,22854170,22980066,23339411,23345452,23758151,23792570,23910524,24519887,25019180,25135319,25145512,25167194,25321727,25668410,26630952,26747571,26828495,26858759,27262391,27312812,27425004,27516434,28288701,28551084,28842866,29292520,29364482,29420471,29700122,29884370,29959821,29986703,30023016,30434152,30623714,30802092,31532111,31951816,32086983,32194194,32678387,32954085,33084143,33666434,33677025,33775893,34111612,34238421,34507586,34578791,34631219,34946931,35028410,35151024,35276402,35374067,35861244,35922160,35945793,36773474,36833522,37158851,37231859,37711202,38363752,38743583,39014211,39504479,39507688,39544902,39834887,40172306,40296844,40412430,40579319,40677695,40760025,41007359,41444211,41573303,41776072,41949260,42034092,42184905,42438194,42514586,42590636,42742655,42813971,43106592,43159221,43400807,43477360,43617767,44269383,44446149,44507714,44997232,45476931,46136354,46683410,46686952,46734743,46998081,47548295,47854787,48199564,48286983,48494916,48745127,48811004,48813234,48912030,48948659,49473170,49488051,49882871,50220125,50286455,50339112,50394860,50621886,50692785,50857586,51008066,51291186,51380025,51862163,52172832,52282983,52522821,53018855,53188370,53190719,53318543,53362034,53701055,53969087,54048659,54072304,54520154,54621671,54805360,55014239,55464231,55551767,55763891,56020092,56104154,56426255,56434970,56506216,56622419,56631501,56850472,57057954,57059205,57476243,57566920,58407719,58517954,58694436,58858631,58931063,59367804,59779331,59834579,60051453,60264150,60316799,60343746,60473832,60831342,60863152,61041832,61193927,61656030,61759187,61800503,61839674,61884239,62178483,62988812,63300962,63361487,63569493,63622626,63826044,63956781,63980812,63998834,64141383,64281760,64441266,64699922,64711079,64762785,64925031,65766432,65805164,65995797,66098883,66215207,66279345,66494786,66520007,66880371,67537919,67711506,67721964,67927625,68033061,68471046,68672061,68833727,68856520,69080304,69151706,69219651,69292295,69965855,70041832,70075859,70697968,70775759,71163111,71283482,71311895,71489825,72316980,72487994,72656495,72753923,72945887,73874883,73920311,73987236,73999655,74070645,74219999,74311394,74856719,75134483,75271105,76139025,77121532,77138112,77155751,77212370,77463585,77513927,77664602,77715342,77730483,77951272,78323505,78353282,78566425,78591770,78797061,79008688,79137986,79279322,79400492,79535214,79624979,79650183,80416551,80889170,80894387,81214960,81513150,82156204,82627824,82710471,83150754,83545072,83859321,83959026,84010691,84189602,84452759,84693095,85374263,85477970,85574274,85620674,85634882,85787790,85974551,86066684,86583647,86780376,86947360,87187794,87228122,87400307,87544079,87695181,88227410,88411251,88653107,88799586,88884774,89167309,89649285,89940626,90325326,90516410,90714556,90847432,91072391,91366830,91401160,91506976,91581362,92264876,92278739,92428460,92436674,92654844,92783229,92956302,93049667,93224159,93758056,93806025,93988206,94279710,94310124,94350597,94716407,94798739,94966391,95562471,95625904,95701442,96195719,96686387,97000799,97032434,97067004,97271855,97457952,97627923,97815780,98414785,99514079,99606914,99757274,99791759,99827987,99832525,99903455,...,45435568384221479818826376390795676025062118012397905891473860472128070499439542458684123005383676567094765924704632598166171791223240829578599229020904187708380092768112289041631614022080128966484403709411272058031592744141813984732785028889080065544016172318707844055426469977035039796299887444463572533795110360783562152363992402525026148818753011379023950075051028455734358533770437081437834071743470644671500836735894619397387961165180902390477838646501585704670605100098436811310743707422219641800292041200321376815750996080660349344212124018027026037956303130509102884200633386584272948684202410235476558402405983356244275217001860313167005042800810016630789755226060009335478578473719268362665092730596005853492160291747406541064777778405496419715723020492667143347629283641019142284900112582514048387277368498225998865441035767764554832006884383660521801371757222720039772803549534404654830066046861494301224156262718290487402655256238806106148328399088131265614146814224496019317640785195557559814377136799908151220619619342279274437039611492841076226034680270902823495309792539221778662932461533528254658839863671776819059500329860671873969855101199522149503164915854948744494216661090296742834056389152908593375838625775947612630403112566935466339018720654982999367947284313720137672617656342712030606915953222184326173202902006972926669710682708881709829208658766513495288843823537720337017140669198558761165486599424903356341519015709739372928659064226376700146266200474804190431515668047937370169681711101889628647516015158029746680967771394268863698124846224285863839904532203044430191261950071378033901569824607999968231661932080918430922450986780276763427114557003932608593156442589721175910265736622329216120373205321287097405263247903205126376104232626330605940968572494332896035562651591014136374020390325772317205771588367124510958015665406350158480877869742854968686445629013984171828250624624096366057745389502956020774655940217509964381616849132111038058054666429986525443978266944735272412126209048914254901768250080663836529398447232713545675306463463751914848447818069154431532139516007330334398409665567063347309945692336539030658691868977068739919416396783096340567092369991589996457030494240217297331707700893033739582219101896631491542049454537932667333508873755312491280029481942613300025478139488606360004717266225820410354649527730539072434711564148007231552843095867101850001440184730191134388692000391390685639118557921052640362035688091997963970453072135582162237504685003072206228989375551063067760916532712025262286439466190878177996336115846826251424496068455492766181805830553424122494967688161217715520720464761471742824802435357633463105001995348614053668789560365260882801421144931106314501837785232025390097828206614021928388579258116161371418470385213412342891482127404560790996242677262473852631407013382166111624721184525520445517691096095497965716352933362690708291714657801223910093207074163519762269374771916718406890520862723073991865036179825408827114444793143111486883739714686867925963058775934201717002413878550999063250654136628506494755370729735012938917782472462245334545658576113392282402859599281106954505215731619523469425623024441923210873986238848391628172773500301078493207056907928833950641609515582754871931531896567568418614958402674075007699644922516032801184878821300779231658875936107032146954288112359914603080852176614988373622769473885494848677661363751901151496071640837961651417657858948475954343122598715668346818408115394515977298894301424276047381963047039651448854633098490619124396275144705068031932924988864869057062582343713514633714609404891494225286412099372467640494518103734465459192295351019281150962468969349029123565395851870169614717696344536358193589077972731522411781548}
23666 224286616040983568420888343169432350492023353061961281117141016748604583034257: {70989,874273,1015789,1465246,1581133,1722289,1748398,1937086,2426989,2567713,2741428,2879566,2989453,3350206,3690913,3914446,4530289,4571998,4759726,4853566,5005108,5041198,5570308,5859992,5978398,6592491,6992408,7847998,7866459,8688289,8966686,9237793,9518644,10196653,10278615,10606513,10644148,10742989,10918846,10963856,10986555,11414739,11516312,11560333,11718992,12103789,12330244,12334338,12645848,12955851,13183866,13588975,13695406,13996813,14131489,14226579,14341198,14388843,14817891,14903192,15446446,15474289,15668679,15722398,16306770,16457566,16766091,17099998,17129575,17375086,17393888,17934411,18284888,19410968,19568124,19591213,20117389,20486343,20555490,20570499,20885115,21193419,21393166,21484126,21665998,21837339,21925856,21949933,22002323,22096855,22277456,22600993,22607211,22755886,22894563,23302083,24115006,24615748,24666588,24672289,25062138,25187233,25289998,25315789,25630955,26270139,26516226,26629883,26642398,27235489,27362206,27388468,27709779,27721726,27740575,27957839,27991198,28398872,29012593,29181815,29605006,29783998,29888155,30052366,30409966,30640088,30757146,31273975,31431890,31455523,31748686,31948731,32194126,33288690,33350398,33501171,33568283,34060606,34135789,34141015,34281255,34470099,34569227,34681198,35018178,35507936,35663428,35688855,35857453,35865786,36008398,36554063,36566672,36590989,36615650,36712993,37067566,37528770,37718268,37750791,37807789,38042690,38068112,38502615,38915566,39091198,39372578,39939770,39946428,39968398,40030688,40143646,40406398,40698733,40851083,40937773,40969218,41069456,41137506,41274651,42590398,42639515,42782644,42826626,42925592,43025998,43194289,43264299,43666033,43895998,43926311,43938780,44046723,44371489,44550183,44826555,44902700,45034524,45074353,45651228,45890926,45935571,46007473,46123789,46203138,46237006,46595908,46820173,46868032,47313266,47532526,47814992,47927724,47954690,48291291,48549793,48600739,48893773,49254286,49340206,49384610,49442939,49511998,49744163,50035693,50371055,50499651,50627086,50717389,50830753,51167418,51761379,51908519,51910366,52018948,52220090,52337326,52410289,52436575,52542615,52726536,52914603,52970989,53104846,53238295,53255258,53411603,53791866,53883240,54346700,54635998,54890686,55160211,55230046,55250283,55258948,55637293,56045456,56246540,56297389,56566803,56736013,56954893,57429646,57475456,57545628,57827533,58019998,58358690,59025844,59030206,59261532,59317353,59451313,60249455,60258459,60445266,60524833,60618645,60635908,60708766,61013755,61211086,61286603,61545646,61860722,62664108,62923890,62993575,63051138,63177133,63657291,63771879,63885954,64183691,64382644,64659888,65084312,65216040,65266573,65291806,65984068,66202606,66506413,66761571,66946366,67118816,67327213,67429489,67495848,67531693,67590380,67771246,67868879,67939789,68207363,68388248,68506700,68676766,69132602,69204531,69416206,69459889,69563776,69710644,70025115,70030428,70481998,70632770,70645726,70864033,71063090,71136526,71560813,71708398,71958650,72116398,72299346,72742374,72845473,72943789,73101938,73216506,73219851,73337998,73368045,73434289,73952308,74209755,74336834,74507053,74693456,75508668,75527806,75592290,75859789,75932829,76077272,76078940,76243693,76286379,76302290,76339489,76512099,76819966,76912753,76936779,77198413,78027646,78145933,78259248,78736015,78750526,79157072,79491503,79553713,79632286,79782555,79976015,80043051,80068604,80352200,80458328,80591998,80631776,81108456,81129613,81150766,81405553,81780231,81788398,82038299,82046893,82208040,82256455,82411789,82904644,82981198,83219326,83672666,84030138,84129313,84156231,84652455,84724126,84759324,84830168,85101392,85275708,85466893,85521844,85586931,85921688,85997389,86070650,86350380,86566708,86773966,87323998,87552290,87660193,87688576,87776931,87845186,87994396,88041654,88131844,88372460,88524913,88734766,89051706,89125726,89173828,90062398,90282008,90295952,90396225,90515619,90710748,91247013,91294728,91562748,92078113,92107072,92161486,92239006,92292868,92358539,92484045,92759511,92935966,93152173,94483218,94860962,94861489,94884148,94951443,95433939,95578658,95739066,95971218,95998251,96142513,96380653,96401915,96422640,96459889,96661899,97013998,97049883,97243486,97339907,97439090,97549246,97778398,98499844,98649648,98707746,98760860,98803489,99111073,99187789,99250615,99264433,99742179,99834286,...,68153352576332219728239564586193514037593177018596858837210790708192105749159313688026184508075514850642148887056948897249257686834861244367898843531356281562570139152168433562447421033120193449726605564116908087047389116212720977099177543333620098316024258478061766083139704965552559694449831166695358800692665541175343228545988603787539223228129517068535925112576542683601537800655655622156751107615205967007251255103841929096081941747771353585716757969752378557005907650147655216966115561133329462700438061800482065223626494120990524016318186027040539056934454695763654326300950079876409423026303615353214837603608975034366412825502790469750507564201215024946184632839090014003217867710578902543997639095894008780238240437621109811597166667608244629573584530739000715021443925461528713427350168873771072580916052747338998298161553651646832248010326575490782702057635834080059659205324301606982245099070292241451836234394077435731103982884358209159222492598632196898421220221336744028976461177793336339721565705199862226830929429013418911655559417239261614339052020406354235242964688808832667994398692300292381988259795507665228589250494791007810954782651799283224254747373782423116741324991635445114251084583729362890063757938663921418945604668850403199508528080982474499051920926470580206508926484514068045910373929833276489259804353010459390004566024063322564743812988149770242933265735306580505525711003797838141748229899137355034512278523564609059392988596339565050219399300712206285647273502071906055254522566652834442971274022737044620021451657091403295547187269336428795759856798304566645286892925107067050852354736911999952347492898121377646383676480170415145140671835505898912889734663884581763865398604933493824180559807981930646107894871854807689564156348939495908911452858741499344053343977386521204561030585488658475808657382550686766437023498109525237721316804614282453029668443520976257742375936936144549086618084254434031161983910326264946572425273698166557087081999644979788165967400417102908618189313573371382352652375120995754794097670849070318512959695195627872272671727103731647298209274010995501597614498350595020964918538504808545988037803465603109879124595174644510850638554987384994685545741360325945997561551339550609373328652844947237313074181806899001000263310632968736920044222913919950038217209232909540007075899338730615531974291595808608652067346222010847329264643800652775002160277095286701583038000587086028458677836881578960543053532137996945955679608203373243356257027504608309343484063326594601641374799068037893429659199286317266994504173770239377136744102683239149272708745830136183742451532241826573281080697142207614237203653036450194657502993022921080503184340547891324202131717396659471752756677848038085146742309921032892582868887174242057127705577820118514337223191106841186494364015893710778947110520073249167437081776788280668276536644143246948574529400044036062437571986701835865139810611245279643404062157875077610335781294084610987797554269738113240671667189714667230325609572030301888944588163901302575503620817826498594875981204942759742133056094602519408376673708693368001818487864170088423604289398921660431757823597429285204138434536662884816310979358272587442259160250451617739810585361893250925962414273374132307897297844851352627922437604011112511549467383774049201777318231951168847488313904160548220431432168539871904621278264922482560434154210828242273016492045627851727244107461256942477126486788422713931514683898073502520227612173091773965948341452136414071072944570559477173281949647735928686594412717057602047899387483297303585593873515570271950571914107337241337929618149058701460741777155601698188788443026528921726443703454023543685348093777805254422076544516804537290383616959097283617672322}
23667 225079804087612217553562453227654009917922068391036933248970155596920062342328: {94652,2197869,2622597,2905629,3426785,4112142,4319349,5025309,5127493,5871669,5979149,6118357,6256385,6829937,6857997,6962885,7139589,7280349,7324990,7507662,7537013,7561797,8355462,8530069,8740510,8789988,8967597,9238157,9520069,9593374,10076773,10254118,10488612,11065117,11674702,11771997,11898305,12205853,13040293,13305185,13450029,13704820,13760549,14130142,14277966,14395390,14648740,15219652,15264334,15412805,15807310,15966222,15999277,16110886,16378269,16445784,16455473,16984597,17058694,17274468,17578488,17811742,18495366,18501507,18628990,18709249,18858797,18968772,19185124,19492774,19757188,19775799,19855169,20543109,20646502,20891572,21511797,21742360,22257629,22354788,22378369,22856110,23072093,23169669,23583597,23912548,24263710,24460155,24686349,24849013,25649997,26062629,26090832,26394862,26810077,27068053,27315124,27407320,27427332,27717173,27846820,28257892,29116452,29352186,29705377,30018613,30142948,30526084,30769685,30833235,31069444,31449469,31661806,31995838,32089749,32226189,32298817,32498997,32519422,32888784,33194254,33253037,33309598,33416184,34133829,34235585,35026852,35354968,35498590,35647793,35935774,36172509,36191662,36923622,36946372,36999882,37559893,37593207,37871086,37934997,38300110,38567302,39774339,39963597,40433633,41009528,41043309,41082702,41582589,41838118,41986797,42147814,42598308,43530526,43601269,44384920,44407509,44579285,44668228,44675997,44977949,45078549,45214577,45364966,45614949,45708340,45960132,46135719,46678822,46690904,47147835,47516302,47585140,47623029,47821048,47957377,48291189,48524453,48749269,49039774,49933035,50025597,50038360,50270638,50291024,50334388,50643454,50835653,51090909,51336820,52021797,52527267,53261904,53323069,53478305,53495142,53656990,53717518,53798679,54012597,54524782,54625624,54850008,54923475,55032868,55231969,55601349,56128375,56293155,56577402,56948773,57008573,57064035,57102168,57685732,57691093,57924557,58244885,58373349,58412677,58585040,58636797,58705397,58728964,58840942,59058867,59400244,59768740,59839717,59909655,59919642,59952597,59973406,60046032,60215469,60609597,60779969,60868304,61157069,61247428,61453827,61563293,61604184,61706259,61805749,62087269,63064222,63627457,63885597,63903632,64173966,64239939,64388388,64538997,65023685,65334653,65356774,65843997,65908170,66148973,66168286,66182849,66567613,67332868,67354050,67412893,67551786,67867717,67926469,67933375,68223224,68476842,68836389,68939873,69015172,69073685,69157582,69262438,69304707,69355509,69893862,70056820,70302048,70308175,70401037,70552804,70748134,70781773,70969899,71298789,71722488,71844320,71891586,71932035,73016693,73546948,73667044,73782305,73881429,74010309,74076915,74226397,74267997,74317702,74463718,75181477,75422404,75794885,75940629,76171373,76727504,76751127,77487166,77865549,78028422,78330135,78505989,78583013,78996757,79008958,79015376,79089804,79657269,79669774,79882887,80344612,80478305,80593688,80687799,80824860,81158638,81355390,81383093,81520050,81953997,81974069,82014718,82336029,82480085,82845069,82888422,83146606,83552144,83898520,84068184,84369810,84487975,84876388,85029172,85181272,85485310,85627942,85633375,85886513,85981909,86144469,86213184,86318442,86801614,86954720,87029997,87138305,87235534,87538035,88538766,88545309,88892298,89015428,89994464,90667899,90953862,91063149,91816629,91817837,91999853,92272708,92318469,92440385,92554933,92754737,92791083,93366820,93373904,93469486,93996162,94385835,94576707,95096590,95098675,95709574,95828931,96203893,96399128,96573966,96989832,97009213,97490254,97622008,97626468,97824060,97897318,97937709,97952197,98430173,98596493,98946340,98976102,99303909,99765742,99836653,99843533,...,102230028864498329592359346879290271056389765527895288255816186062288158623738970532039276762113272275963223330585423345873886530252291866551848265297034422343855208728252650343671131549680290174589908346175362130571083674319081465648766315000430147474036387717092649124709557448328839541674746750043038201038998311763014842818982905681308834842194275602803887668864814025402306700983483433235126661422808950510876882655762893644122912621657030378575136954628567835508861475221482825449173341699994194050657092700723097835439741181485786024477279040560808585401682043645481489451425119814614134539455423029822256405413462551549619238254185704625761346301822537419276949258635021004826801565868353815996458643841013170357360656431664717395750001412366944360376796108501072532165888192293070141025253310656608871374079121008497447242330477470248372015489863236174053086453751120089488807986452410473367648605438362177754351591116153596655974326537313738833738897948295347631830332005116043464691766690004509582348557799793340246394143520128367483339125858892421508578030609531352864447033213249001991598038450438572982389693261497842883875742186511716432173977698924836382121060673634675111987487453167671376626875594044335095636907995882128418407003275604799262792121473711748577881389705870309763389726771102068865560894749914733889706529515689085006849036094983847115719482224655364399898602959870758288566505696757212622344848706032551768417785346913589089482894509347575329098951068309428470910253107859082881783849979251664456911034105566930032177485637104943320780904004643193639785197456849967930339387660600576278532105367999928521239347182066469575514720255622717711007753258848369334601995826872645798097907400240736270839711972895969161842307782211534346234523409243863367179288112249016080015966079781806841545878232987713712986073826030149655535247164287856581975206921423679544502665281464386613563905404216823629927126381651046742975865489397419858637910547249835630622999467469682248951100625654362927283970360057073528978562681493632191146506273605477769439542793441808409007590655597470947313911016493252396421747525892531447377807757212818982056705198404664818686892761966766275957832481077492028318612040488918996342327009325914059992979267420855969611272710348501500394965949453105380066334370879925057325813849364310010613849008095923297961437393712912978101019333016270993896965700979162503240415642930052374557000880629042688016755322368440814580298206995418933519412305059865034385541256912464015226094989891902462062198602056840144488798929475900491756260655359065705116154024858723909063118745204275613677298362739859921621045713311421355805479554675291986254489534381620754776510821836986303197576094989207629135016772057127720113464881549338874303330761363085691558366730177771505834786660261779741546023840566168420665780109873751155622665182421002414804966214870422861794100066054093656357980052753797709715916867919465106093236812616415503671941126916481696331404607169861007500784572000845488414358045452833416882245851953863255431226739747892313971807414139613199584141903779112565010563040052002727731796255132635406434098382490647636735396143927806207651804994327224466469037408881163388740375677426609715878042839876388943621410061198461845946767277028941883656406016668767324201075661073802665977347926753271232470856240822330647148252809807856931917397383723840651231316242363409524738068441777590866161191885413715689730182634070897272025847110253780341418259637660948922512178204621106609416855839215759922924471603893029891619075586403071849081224945955378390810273355407925857871161005862006894427223588052191112665733402547283182664539793382589665555181035315528022140666707881633114816775206805935575425438645925426508483}
23668 225875778992298338557840272332009759878829377979639841390917905864849781021487: {118315,141978,968707,1392931,1748546,2031578,2380267,2521027,2930492,3083347,3162266,3223747,3444578,3496796,3874172,4853978,5135426,5482856,5759132,5877667,5978906,6168213,6294331,6700412,7264027,7381826,7828892,8092387,9055531,9060578,9143996,9519452,9707132,10010216,10082396,10834867,10987485,11107531,11140616,11261493,11719984,11787931,11956796,12533193,13110765,13143331,13184982,13548547,13984816,14390061,14760307,14894587,15381177,15695996,15732918,17131025,17376578,17432227,17512053,17933372,18228187,18310925,18475586,18492931,19024565,19037288,19549027,20075347,20393306,20557230,21124531,21195213,21213026,21288296,21386107,21416949,21485978,21516787,21593085,21837692,21927712,21973110,22038787,22169107,22829478,22896501,23032624,23120666,23338747,23437984,23710965,23727331,23949333,23981405,24166329,24207578,24660488,24668676,24696485,24760387,25291696,25588041,25911702,26114465,26367732,26684947,26717613,27177950,27390812,27743049,27943485,27993626,28212931,28262978,28453158,28593307,28682396,28777686,29099467,29239161,29478331,29635782,29806384,29890685,30359827,30892892,30935597,30948578,30969753,31337358,31362931,31444796,31987531,32613540,32915132,33479227,33532182,34143905,34199996,34259150,34284165,34467931,34750172,34787776,34808525,35322365,35329267,35868822,35883337,36064747,36395565,36569776,37174709,37678685,38157605,38821936,38836805,39101347,39136248,39182426,39592293,40234778,40303387,40854541,40972686,41110980,41140998,41379067,41770230,41843417,41974147,42386838,42786332,42968252,43331996,43674678,43783565,43851712,43899866,44004646,44028279,44193710,44554912,44688331,44922547,45201986,45214422,45273331,45506827,45511772,45789126,46182965,46604166,47492709,47797421,47993757,48230012,48516067,48604853,48779133,49231496,49333176,49344578,49791381,49964397,50116267,50124276,50374466,50579996,50631578,51024331,51261910,51815107,51912913,51927787,52490107,52540278,53032452,53247885,53259766,53284796,53903661,54287493,54318473,54388531,54470978,54724412,54776936,54942931,55385433,55419558,55443452,55481150,55499823,55826227,55835285,55915678,55982396,56375947,56797744,56806629,57135425,57142531,57437237,57450165,57850953,58025186,58231531,58363630,58773331,59210012,59481425,59528827,59567996,59695321,59776310,59851531,60104732,60173587,60387931,60819932,61280176,61514292,61624053,62547950,62726707,62757177,62863780,62911046,62917985,63221721,63497372,63897462,64092331,64171025,64388252,65295789,65342107,65742809,66478627,66577380,66700796,67002342,67136566,67197331,68047449,68121212,68271578,68282030,68421187,68562510,68791085,68940198,69029227,69138454,69362396,69735331,70018233,70036356,70036867,70437907,70519477,71015872,71236531,71274453,71326856,71377710,71714906,71731572,72016796,72107165,72524467,73108126,73133344,73181978,73231300,73408987,73411205,73425986,73506907,73559661,74135132,74190331,74250305,74533613,74710925,75057540,75097517,75160531,75405957,75436536,75501582,75615578,75853453,75965181,76085380,76136224,76559285,77005230,77364667,77554531,77831132,78182396,78745156,78781627,79879540,79892856,79936796,80061376,80089507,80242713,80287292,80485485,80576277,80645707,80812796,81397466,81702166,81787173,81875546,81933427,81938436,82138912,82275012,82389907,82549302,83116531,84018331,84166085,84349237,84866103,84912931,85180796,85279030,85419257,85565288,85623427,85653252,85851184,86051996,86268965,86388578,86528598,86943187,87332066,87571025,87791996,87852622,87877560,88093446,88191005,88246747,88261413,88742978,89100366,89448787,89653110,89805400,89874667,89879463,89960109,90069048,90148706,90552331,91302456,91560187,91781852,91871142,91933685,92014946,92083805,92226331,92247578,92406276,92474012,92474947,92887867,93191816,93640346,93736064,94034467,94278005,94440547,94596333,94626532,95065052,95327587,95629984,95855448,95909380,96260949,96582582,97099586,97201478,97311187,97787546,98035161,98402347,98508572,98634331,98680412,98769220,98862255,98865667,98885878,99023996,99252429,99488326,99632107,...,136306705152664439456479129172387028075186354037193717674421581416384211498318627376052369016151029701284297774113897794498515373669722488735797687062712563125140278304336867124894842066240386899453211128233816174094778232425441954198355086667240196632048516956123532166279409931105119388899662333390717601385331082350686457091977207575078446456259034137071850225153085367203075601311311244313502215230411934014502510207683858192163883495542707171433515939504757114011815300295310433932231122266658925400876123600964130447252988241981048032636372054081078113868909391527308652601900159752818846052607230706429675207217950068732825651005580939501015128402430049892369265678180028006435735421157805087995278191788017560476480875242219623194333335216489259147169061478001430042887850923057426854700337747542145161832105494677996596323107303293664496020653150981565404115271668160119318410648603213964490198140584482903672468788154871462207965768716418318444985197264393796842440442673488057952922355586672679443131410399724453661858858026837823311118834478523228678104040812708470485929377617665335988797384600584763976519591015330457178500989582015621909565303598566448509494747564846233482649983270890228502169167458725780127515877327842837891209337700806399017056161964948998103841852941160413017852969028136091820747859666552978519608706020918780009132048126645129487625976299540485866531470613161011051422007595676283496459798274710069024557047129218118785977192679130100438798601424412571294547004143812110509045133305668885942548045474089240042903314182806591094374538672857591519713596609133290573785850214134101704709473823999904694985796242755292767352960340830290281343671011797825779469327769163527730797209866987648361119615963861292215789743709615379128312697878991817822905717482998688106687954773042409122061170977316951617314765101373532874046996219050475442633609228564906059336887041952515484751873872289098173236168508868062323967820652529893144850547396333114174163999289959576331934800834205817236378627146742764705304750241991509588195341698140637025919390391255744545343454207463294596418548021991003195228996701190041929837077009617091976075606931206219758249190349289021701277109974769989371091482720651891995123102679101218746657305689894474626148363613798002000526621265937473840088445827839900076434418465819080014151798677461231063948583191617217304134692444021694658529287601305550004320554190573403166076001174172056917355673763157921086107064275993891911359216406746486712514055009216618686968126653189203282749598136075786859318398572634533989008347540478754273488205366478298545417491660272367484903064483653146562161394284415228474407306072900389315005986045842161006368681095782648404263434793318943505513355696076170293484619842065785165737774348484114255411155640237028674446382213682372988728031787421557894221040146498334874163553576561336553073288286493897149058800088072124875143973403671730279621222490559286808124315750155220671562588169221975595108539476226481343334379429334460651219144060603777889176327802605151007241635652997189751962409885519484266112189205038816753347417386736003636975728340176847208578797843320863515647194858570408276869073325769632621958716545174884518320500903235479621170723786501851924828546748264615794595689702705255844875208022225023098934767548098403554636463902337694976627808321096440862864337079743809242556529844965120868308421656484546032984091255703454488214922513884954252973576845427863029367796147005040455224346183547931896682904272828142145889141118954346563899295471857373188825434115204095798774966594607171187747031140543901143828214674482675859236298117402921483554311203396377576886053057843452887406908047087370696187555610508844153089033609074580767233918194567235344644}
23669 226674550482891960433131138300059084412405337895253785499112257481419790045878: {23669,189304,212967,2622819,3047367,3663115,4370995,4395738,4743399,4797499,4842715,5166867,5245194,5811258,6853570,7066267,7198915,7280967,7537651,7633459,7703139,8056807,8224284,8375515,8638698,8758939,8907379,8968359,9238939,9748039,9786115,10050618,10254986,10324999,11072739,11429995,11646139,11743338,11899315,11958298,12133915,12236714,12496567,12512770,12602995,13590867,13659874,13715994,13925770,14279178,14425099,14560698,14649980,14945995,15015324,15074026,15123594,15315751,16262467,16657627,16710924,17060138,17258179,17481020,17579976,17935194,18391411,18476314,18627259,19040138,19186748,19619995,19777473,20091259,20153546,20508236,20977224,21077479,21224491,21262699,21577927,22130234,22416715,23343367,23349404,23543994,23599377,23663779,23796610,24411706,25139587,25326019,25510519,26064867,26080586,26171827,26610370,26900058,27267019,27297115,27409640,27521098,27713379,28059211,28235251,28260284,28462267,28555932,28759867,28790780,29297480,30439304,30528668,30589959,30825610,30835845,31614620,31819539,31932444,31998554,32157259,32221772,32228967,32756538,32756659,32872807,32891568,32910946,32959665,33969194,34117388,34238515,34244217,34548936,34680999,35156976,35623484,35650819,35852995,36311367,36990732,37003014,37165159,37257980,37418498,37717594,37937544,38370248,38531251,38616115,38867553,38985548,39305995,39514376,39551598,39710338,39841651,40347091,40766925,41086218,41143915,41234299,41293004,41783144,41990439,42394467,42679737,42749995,42821239,43023594,43077559,43166529,43437715,43484720,44453673,44515258,44709576,44756738,44981767,45190531,45218419,45440587,45712220,46144186,46339338,46422867,47006037,47167194,47825096,47929819,48221179,48527420,48920310,49372698,49698026,49891339,50298273,50533939,51299994,51351751,51388725,51870967,52125258,52181664,52537819,52789724,53482915,53620154,53710315,53803233,53978251,54136106,54164995,54420487,54630248,54814640,54854664,55434346,55693640,56515784,56701699,56889715,57929479,58232904,58507207,58704372,58773639,58941067,59007259,59410754,59789479,60037226,60078499,60285896,60287515,60352167,61052168,61459029,61539370,61666470,61711497,61894747,62078467,62138888,62410999,62655345,62898938,63224995,63323612,63580257,63991676,64179498,64452378,64597634,64722067,64971691,64997994,65038844,65340199,65512017,65777568,65849799,66006969,66188467,66290565,66388508,66506074,66605995,66619196,66832368,67549387,67802979,67821633,68267658,68405515,68471170,68574427,68683689,68945731,69304315,69906249,69977995,70053704,70305019,70709936,70997180,71295586,71428339,71871548,72318979,72345018,72383324,72756619,73662739,73694347,73847244,73892744,73999764,74012515,74016867,74076859,74381491,74459995,74869627,75119786,75130915,75186414,75561699,75742172,75869994,75947367,76024915,76275211,76600220,76892865,76968979,77134604,78052327,78176059,78579725,78810417,79371715,79548678,79889649,79927194,80485315,80524219,80796619,80867266,81542839,81706467,82019056,82086618,82165404,83129337,83165178,83221725,83375995,83622499,83676236,83873517,83973594,84295628,84752851,84933607,85132711,85151515,85196616,85893811,86450947,86702995,87037779,87061052,87202538,87545445,87935347,88769840,88815018,88978087,89158570,89310691,89336456,89351994,89664465,89955898,90020995,90076099,90157098,90429154,90729932,91033159,91229898,91416680,91539125,91825639,91920264,92271438,92668915,93357644,93381808,93399067,93582787,93821925,94025767,94295670,94366569,95032604,95106725,95170280,95246058,95642096,95846193,95914754,96180019,96582378,96703159,97048906,97050151,97288915,97498538,97727995,98079548,98431445,98549419,98604871,99568051,99849425,99866070,99920995,...,204460057728996659184718693758580542112779531055790576511632372124576317247477941064078553524226544551926446661170846691747773060504583733103696530594068844687710417456505300687342263099360580349179816692350724261142167348638162931297532630000860294948072775434185298249419114896657679083349493500086076402077996623526029685637965811362617669684388551205607775337729628050804613401966966866470253322845617901021753765311525787288245825243314060757150273909257135671017722950442965650898346683399988388101314185401446195670879482362971572048954558081121617170803364087290962978902850239629228269078910846059644512810826925103099238476508371409251522692603645074838553898517270042009653603131736707631992917287682026340714721312863329434791500002824733888720753592217002145064331776384586140282050506621313217742748158242016994894484660954940496744030979726472348106172907502240178977615972904820946735297210876724355508703182232307193311948653074627477667477795896590695263660664010232086929383533380009019164697115599586680492788287040256734966678251717784843017156061219062705728894066426498003983196076900877145964779386522995685767751484373023432864347955397849672764242121347269350223974974906335342753253751188088670191273815991764256836814006551209598525584242947423497155762779411740619526779453542204137731121789499829467779413059031378170013698072189967694231438964449310728799797205919741516577133011393514425244689697412065103536835570693827178178965789018695150658197902136618856941820506215718165763567699958503328913822068211133860064354971274209886641561808009286387279570394913699935860678775321201152557064210735999857042478694364132939151029440511245435422015506517696738669203991653745291596195814800481472541679423945791938323684615564423068692469046818487726734358576224498032160031932159563613683091756465975427425972147652060299311070494328575713163950413842847359089005330562928773227127810808433647259854252763302093485951730978794839717275821094499671261245998934939364497902201251308725854567940720114147057957125362987264382293012547210955538879085586883616818015181311194941894627822032986504792843495051785062894755615514425637964113410396809329637373785523933532551915664962154984056637224080977837992684654018651828119985958534841711939222545420697003000789931898906210760132668741759850114651627698728620021227698016191846595922874787425825956202038666032541987793931401958325006480831285860104749114001761258085376033510644736881629160596413990837867038824610119730068771082513824928030452189979783804924124397204113680288977597858951800983512521310718131410232308049717447818126237490408551227354596725479719843242091426622842711610959109350583972508979068763241509553021643673972606395152189978415258270033544114255440226929763098677748606661522726171383116733460355543011669573320523559483092047681132336841331560219747502311245330364842004829609932429740845723588200132108187312715960105507595419431833735838930212186473625232831007343882253832963392662809214339722015001569144001690976828716090905666833764491703907726510862453479495784627943614828279226399168283807558225130021126080104005455463592510265270812868196764981295273470792287855612415303609988654448932938074817762326777480751354853219431756085679752777887242820122396923691893534554057883767312812033337534648402151322147605331954695853506542464941712481644661294296505619615713863834794767447681302462632484726819049476136883555181732322383770827431379460365268141794544051694220507560682836519275321897845024356409242213218833711678431519845848943207786059783238151172806143698162449891910756781620546710815851715742322011724013788854447176104382225331466805094566365329079586765179331110362070631056044281333415763266229633550413611871150850877291850853016966}
23670 227476128320978037564773250864271012935145508295075830084547662470625094559374: {165641,236630,283956,874421,968789,1015961,1110281,1440149,1581401,1675529,1937414,2098709,2427401,2521241,2568149,2661941,2785862,3083609,3270809,3497092,4063156,4064981,4624181,4760534,4949849,5042054,5228681,5600009,5860984,6166694,6324532,6341129,6447494,6593607,6889156,6993592,7310741,7725209,7748344,7863221,7867791,8139029,8368649,8689781,8716887,8827289,9330869,9707956,9742169,10270852,10280355,10289561,10699349,10835801,10965712,11518264,11653001,11755334,11957812,12336426,12588662,12958047,13189529,13400824,13819529,13999241,14133941,14223701,14528054,14537609,14761589,14763652,14806361,15030101,15075927,15164249,15382479,15566261,15657784,16184774,16279349,16679561,16812821,17610869,17615007,17937447,18111062,18121156,18287992,18312475,18355071,18494549,18538649,18769155,19038904,19414264,19462901,19594649,19682441,20020432,20120921,20164792,20208521,20489811,20573991,20888655,20908169,21126389,21418767,21649301,21669734,21841047,21851275,21974970,22040729,22215062,22281232,22474889,22522986,22611039,22685391,23081369,23340809,23384021,23439968,23575862,23729429,23772569,23913592,23983435,24762581,24891401,25066386,25448789,25590207,25635295,26221530,26286662,26369964,26634391,26687321,26902791,26985269,27097094,27325301,27452681,27579989,27714471,27749621,27969632,28560207,28638089,28780122,28849109,29102069,29144201,29186755,29520614,29523029,29649161,29789174,30230319,30488201,30762354,31157129,31391992,31465836,31657481,32861909,33195351,33234329,33482249,33573967,33729881,34262050,34471049,34575079,34753156,34864454,34881689,35024106,35250581,35315991,35325355,35455241,35694915,35700569,35866744,35988475,36456374,36475541,36560251,36617559,36621850,36679001,36951172,36985862,37207061,37531349,38016821,38049130,38074576,38160835,38178389,38541449,38903861,39098054,39120879,39145109,39518275,39586649,39915555,39987209,40150694,40277215,40350087,40706201,40785929,40786612,41114460,41281647,41621141,41846959,41978009,42017621,42249062,42390426,42426052,42576592,42646735,42772214,42833898,42971956,43033574,43084121,43186170,43280981,43675384,43855424,43933747,43946220,44077574,44338214,44379701,44529355,44692469,44926709,44965721,45511049,45549941,45658956,45793002,46065248,46093589,46238415,46241332,46326101,46572475,46677494,46828889,46875968,47291801,47421930,47454662,47801467,47898666,47945621,47962810,47997831,48214169,48332658,48415156,48558869,48635381,48731935,48902921,49017461,49134807,49320976,49337352,49366419,49392970,49451311,49520774,50045081,50120969,50234741,50583392,50915861,50953791,51176082,51481481,51616255,51823404,52157849,52228930,52495061,52735464,52750159,53316629,53369894,53420647,53435226,53502809,53837429,54323071,54355900,54371527,54781624,54948149,55486098,55504521,55647881,55831541,55868249,55886970,55987252,56127747,56381321,56417909,56425862,56525956,56576391,56746841,56819849,56906316,57140275,57184409,57186614,57364792,57366389,57442099,57511829,57555372,57838601,58198934,58273289,58381781,58478322,58956662,59271564,59327397,59534549,59565507,59612768,59781370,60179381,60536501,60659275,60714761,60719654,60928409,61177301,61296991,61354841,61629327,61785784,61871194,61897156,61939506,62674716,62725862,62889592,63975062,64098569,64133429,64194559,64412021,64535391,64656151,64863641,65227080,65279321,65348489,65830264,65987155,66003989,66519449,66725129,66772887,66958454,67064364,67135107,67238069,67442741,67613081,67715189,67880371,67953161,68021081,68287810,68399992,68461781,68518300,68568330,68935862,69216279,69500344,69509007,69575552,69617050,70077269,70644730,70658534,70750791,71044361,71276789,71376281,71541941,71737644,71766674,71938709,72129494,72367241,72630281,72791130,73139552,73220249,73380465,73448981,73514261,73742489,73840181,74035349,74059047,74349418,74424821,74547039,75168089,75357370,75554201,76315210,76322969,76737461,76949991,77214041,77277449,77372501,77404169,77594009,77643872,77673610,77696047,77783561,78169399,78187887,78202694,78272496,78364852,78507509,79154515,79184586,79818581,79989595,80128661,80221529,80407049,80430231,80469556,80606774,80653961,80684789,80838809,81204159,81298555,81709082,81789269,81945372,82215989,82221960,82281996,82398389,82428761,82580501,82758134,82985635,83034521,83125109,83151519,83245781,83273995,83540460,83686834,83847221,83932519,83948294,84743381,84773676,85099829,85543769,85572664,85632341,85720841,85936504,86367641,86455541,86663992,86981429,87349356,87475721,87567130,87591689,87678581,87703424,87799732,88009292,88056558,88085179,88284809,88387420,88543541,88746475,88751611,89030489,89109824,89116131,89376662,89486681,89839435,89845094,89884169,89997449,90055839,90403972,90428844,90479155,90546662,90590069,91011209,91013654,91023544,91578252,91653461,92309055,92365930,92499705,92677769,92760341,92925269,93208332,93336329,93472949,94348407,94396661,94531721,94677715,94985418,95337881,95418101,95594842,95605001,95750275,95897909,95987514,96163349,96269247,96307519,96401561,96418255,96454409,96460024,96533621,96678567,96896451,97007381,97032134,97209706,97400201,97496991,97558266,98413109,98462992,98666352,98689156,98825141,98876501,98902169,99132821,99183989,99566729,99582762,99668489,99759111,99928794,99947669,...,306690086593494988777078040637870813169169296583685864767448558186864475871216911596117830286339816827889669991756270037621659590756875599655544795891103267031565626184757951031013394649040870523769725038526086391713251022957244396946298945001290442422109163151277947374128672344986518625024240250129114603116994935289044528456948717043926504526582826808411663006594442076206920102950450299705379984268426851532630647967288680932368737864971091135725410863885703506526584425664448476347520025099982582151971278102169293506319223544457358073431837121682425756205046130936444468354275359443842403618366269089466769216240387654648857714762557113877284038905467612257830847775905063014480404697605061447989375931523039511072081969294994152187250004237100833081130388325503217596497664576879210423075759931969826614122237363025492341726991432410745116046469589708522159259361253360268466423959357231420102945816315086533263054773348460789967922979611941216501216693844886042895490996015348130394075300070013528747045673399380020739182430560385102450017377576677264525734091828594058593341099639747005974794115351315718947169079784493528651627226559535149296521933096774509146363182020904025335962462359503014129880626782133005286910723987646385255221009826814397788376364421135245733644169117610929290169180313306206596682684249744201669119588547067255020547108284951541347158446673966093199695808879612274865699517090271637867034546118097655305253356040740767268448683528042725987296853204928285412730759323577248645351549937754993370733102316700790096532456911314829962342712013929580919355592370549903791018162981801728835596316103999785563718041546199408726544160766868153133023259776545108003805987480617937394293722200722208812519135918687907485526923346634603038703570227731590101537864336747048240047898239345420524637634698963141138958221478090448966605741492863569745925620764271038633507995844393159840691716212650470889781379144953140228927596468192259575913731641749506891868998402409046746853301876963088781851911080171220586935688044480896573439518820816433308318628380325425227022771966792412841941733049479757189265242577677594342133423271638456946170115595213994456060678285900298827873497443232476084955836121466756989026981027977742179978937802262567908833818131045504501184897848359316140199003112639775171977441548092930031841547024287769893884312181138738934303057999048812981690897102937487509721246928790157123671002641887128064050265967105322443740894620986256800558236915179595103156623770737392045678284969675707386186595806170520433466396788427701475268781966077197115348462074576171727189356235612826841031895088219579764863137139934264067416438664025875958763468603144862264329532465510958909592728284967622887405050316171383160340394644648016622909992284089257074675100190533314517504359980785339224638071521698505261997340329621253466867995547263007244414898644611268585382300198162280969073940158261393129147750603758395318279710437849246511015823380749445088994213821509583022502353716002536465243074136358500250646737555861589766293680219243676941915422242418839598752425711337337695031689120156008183195388765397906219302295147471942910206188431783418622955414982981673399407112226643490166221127032279829147634128519629166830864230183595385537840301831086825650969218050006301972603226983221407997932043780259813697412568722466991941444758429423570795752192151171521953693948727090228574214205325332772598483575656241147069190547902212691816077541330761341024254778912982846767536534613863319828250567517647279768773414811679089674857226759209215547243674837866135172430820066223777573613483017586020683281670764156573337997200207641849547993619380147768996665543105946584066422000123644899344450325620417806726276315937776279525449}
23671 228280522301992675151839070780800422173373840621380639961972950044168338230291: {23671,47338,354945,378608,425934,2906121,4178793,4371365,5078945,5128361,5245638,6094734,6119393,6779801,7140801,7326230,7563081,7905665,8057489,8531513,8611445,8741990,8791476,8908133,9250041,9486798,9521681,9594998,9614561,9671241,9685430,10078481,10325873,10333734,10490388,11622516,11725721,12134945,12449321,12838565,13016273,13700561,13707140,14132534,14397830,14561934,14947265,15075302,15266918,15406278,15834929,16001993,16113614,16448568,16659041,16751030,16987481,17277396,17388041,17517878,17633001,17644193,17814758,17936718,18100433,18454565,18477878,18504639,18882993,19288553,19496078,19572230,20101236,20491889,20509972,20649998,20924393,21792081,22145478,22651445,22688249,22859990,23292278,23486676,23764193,23798630,23916596,24267830,24277161,24465941,24473428,24993134,25025540,25141721,25205990,26447753,26690081,27072641,27166593,27181734,27319748,27431988,27467993,27851540,28558356,28850198,29121396,29264021,29299960,29427953,29710421,29891990,29994329,30030648,30148052,30247188,30631502,30930341,31383401,31810769,32504601,32524934,32962455,33315254,33322593,33368933,33421848,33784479,34120276,34375001,34516358,34962040,35159952,35363793,35790581,35870388,36338321,36782822,36952628,37254518,37599579,38080276,38215961,38373496,38845493,38849681,39048449,39239990,39332295,39429993,39554946,39845033,40182518,40307092,40645641,41016472,41714789,41954448,42130121,42154958,42448982,42525398,43129649,43155854,43170183,43441445,44260468,44280921,44683761,44833430,45536933,46085393,46143531,46188965,46242341,46686734,46698808,47087988,47198754,47327558,47593220,47657201,47933921,48823412,50194193,50279174,50538233,50652038,50983265,51021038,51393075,52129734,52161172,52296681,52343654,52536159,53032565,53220740,53332121,53714945,53800116,53982833,54062561,54534038,54594230,54684561,54819280,54932775,55028393,55042196,55426758,55478793,56118422,56470502,56520568,56924534,57073695,57111864,57519734,57581560,57601481,57700889,57801665,58422593,58594960,58647081,59012273,59022689,59849993,60226041,60518945,60612161,60688433,60812801,60878608,61057336,61179918,61651220,61671690,61816241,61900001,62713493,63229240,63373593,63585639,63638261,63639078,63864888,63997108,64158321,64250847,64314518,64315121,64443544,64457934,64550361,64727561,64779255,65513076,65513318,65745614,65783136,65821892,65919330,66116361,66507321,67555121,67879241,67938388,67944875,68234776,68477030,68488434,68689503,69097872,69144881,69361998,69984065,70016241,70310993,70313952,70506101,70657445,71132895,71181993,71246968,71301638,71705990,71847999,71919521,71944215,72226421,72498987,72622734,73365461,73700609,73981464,74006028,74089455,74180993,74281161,74330318,74515960,74836996,74876081,75153641,75158273,75194441,75435188,75830993,75875088,76159781,76740496,76764123,77062502,77232230,77371445,77735106,77971096,78343395,78611990,79028752,79103196,79420676,79511249,79645601,79683302,79831673,79995953,80054841,80152839,80694182,81533850,81605081,82172436,82287830,82468598,82586008,83229147,83566288,83830455,83980878,84402521,84474293,84638793,84788934,85359474,85499990,85642478,85647875,85779921,86024153,86047188,86155118,86333058,86875430,86969440,87298401,87625829,87717483,88434993,88514993,88826921,88907346,89030516,89419152,89490929,89513476,89672055,89676641,89963534,90083753,90381062,90436838,90881174,91079481,91424440,92288372,92678676,92806791,92845734,92909259,93248393,94012074,94033841,94088793,94334388,95470049,95650192,95767721,95859638,95962593,96442358,97026041,97054840,97840620,97956065,97969193,98147801,98557793,98745396,99396052,99782678,...,408920115457993318369437387517161084225559062111581153023264744249152634494955882128157107048453089103852893322341693383495546121009167466207393061188137689375420834913010601374684526198721160698359633384701448522284334697276325862595065260001720589896145550868370596498838229793315358166698987000172152804155993247052059371275931622725235339368777102411215550675459256101609226803933933732940506645691235802043507530623051574576491650486628121514300547818514271342035445900885931301796693366799976776202628370802892391341758964725943144097909116162243234341606728174581925957805700479258456538157821692119289025621653850206198476953016742818503045385207290149677107797034540084019307206263473415263985834575364052681429442625726658869583000005649467777441507184434004290128663552769172280564101013242626435485496316484033989788969321909880993488061959452944696212345815004480357955231945809641893470594421753448711017406364464614386623897306149254955334955591793181390527321328020464173858767066760018038329394231199173360985576574080513469933356503435569686034312122438125411457788132852996007966392153801754291929558773045991371535502968746046865728695910795699345528484242694538700447949949812670685506507502376177340382547631983528513673628013102419197051168485894846994311525558823481239053558907084408275462243578999658935558826118062756340027396144379935388462877928898621457599594411839483033154266022787028850489379394824130207073671141387654356357931578037390301316395804273237713883641012431436331527135399917006657827644136422267720128709942548419773283123616018572774559140789827399871721357550642402305114128421471999714084957388728265878302058881022490870844031013035393477338407983307490583192391629600962945083358847891583876647369231128846137384938093636975453468717152448996064320063864319127227366183512931950854851944295304120598622140988657151426327900827685694718178010661125857546454255621616867294519708505526604186971903461957589679434551642188999342522491997869878728995804402502617451709135881440228294115914250725974528764586025094421911077758171173767233636030362622389883789255644065973009585686990103570125789511231028851275928226820793618659274747571047867065103831329924309968113274448161955675985369308037303656239971917069683423878445090841394006001579863797812421520265337483519700229303255397457240042455396032383693191845749574851651912404077332065083975587862803916650012961662571720209498228003522516170752067021289473763258321192827981675734077649220239460137542165027649856060904379959567609848248794408227360577955195717903601967025042621436262820464616099434895636252474980817102454709193450959439686484182853245685423221918218701167945017958137526483019106043287347945212790304379956830516540067088228510880453859526197355497213323045452342766233466920711086023339146641047118966184095362264673682663120439495004622490660729684009659219864859481691447176400264216374625431920211015190838863667471677860424372947250465662014687764507665926785325618428679444030003138288003381953657432181811333667528983407815453021724906958991569255887229656558452798336567615116450260042252160208010910927185020530541625736393529962590546941584575711224830607219977308897865876149635524653554961502709706438863512171359505555774485640244793847383787069108115767534625624066675069296804302644295210663909391707013084929883424963289322588593011239231427727669589534895362604925264969453638098952273767110363464644767541654862758920730536283589088103388441015121365673038550643795690048712818484426437667423356863039691697886415572119566476302345612287396324899783821513563241093421631703431484644023448027577708894352208764450662933610189132730658159173530358662220724141262112088562666831526532459267100827223742301701754583701706033932}
23672 229087742255339752447791377332852484779287987478221551550847137214016958565779: {71007,331282,473260,567912,638901,1016047,1722727,1748842,1863847,1937578,2031922,2220562,2568367,2880298,3162802,3351058,3831967,3874828,4197418,4671127,4854802,5042482,5136298,5323882,5571724,5646871,6167218,6541618,6994184,7868457,8126312,8129962,8828047,9142101,9248362,9521068,9788671,9899698,10084108,10457362,10745767,10989345,11200018,11563327,11721968,12333388,12513871,12649064,12682258,12894988,13112985,13187214,13778312,13865671,13987184,14135167,14230197,14269807,14392497,14528145,14538871,14621482,14807647,15210271,15450418,15496688,15500601,15726442,15735582,16278058,16280767,16737298,17133925,17213671,17379562,17433774,17654578,18540271,18661738,19415912,19484338,20541704,20560710,20579122,21198801,21398698,21596745,21671602,21842901,21931424,22612953,22900377,23036528,23109417,23126671,23306002,23386087,23510668,23774671,23915624,24170421,24672852,25126545,25177324,25322527,25451047,25637465,25916094,26276817,26348671,26379058,26722137,26801648,26905077,27624871,27639058,27716817,27998482,28267882,28447402,28893871,29056108,29075218,29146807,29244117,29358345,29523178,29527304,29612722,29895745,30060202,30151854,30328498,30591785,30764958,30783871,30974997,31132522,31159927,31281925,31315568,32369548,32558698,32906287,33218217,33359122,33576809,33625642,34145047,34149685,34268527,34289985,34814425,34884847,34938417,35221738,35230014,35499367,35697945,35744671,35874894,35889413,36222124,36242312,36401745,36575984,36624950,36710142,36723007,36989098,37077298,37489701,37538310,37685065,37808985,38077808,38828528,38925802,39189298,39364882,39389671,39990871,40040864,40241842,40329584,40417042,40772601,40829527,40861457,40979622,41147982,41777310,41816338,42021487,42252778,42650345,42837534,43275297,43298602,43324327,43339468,43560271,43682094,43702550,43949940,44081458,44430124,44562464,44837985,44949778,44969887,45045972,45222078,45370782,45554167,45947253,46136647,46162738,46190785,46681618,46768042,46833247,46879936,47151724,47458858,47545138,47600345,47827184,47966870,47988487,48613081,48787401,48792871,49022047,49455497,49525162,49782802,49972881,50132772,50383865,50845087,50897578,51180414,51270590,51774537,51921701,52443060,52573324,52739928,52986007,53268782,53374642,53425169,53805582,53879671,53970538,54194188,54650602,54905362,55159978,55174233,55325585,55428942,55499242,55873567,55881777,55939264,56093671,56388101,56423287,56861767,57120414,57276178,57560244,57698218,58204138,58288402,58373510,58859985,59041228,59046058,59298322,59332419,59491525,59578348,59705429,60273777,60460638,60976402,61029265,61183207,61524708,62314258,62341097,62783984,62931672,63090271,63232437,63314962,63405847,63673473,63788097,63930367,64139671,64199993,64733781,64869967,65201465,65723818,65753941,66010447,66390702,66468658,66525925,66964498,67147934,67250145,67449367,67459762,67551607,67755871,67886117,68224709,68524100,68802745,68942098,69150158,69506312,69728908,69763378,70030101,70048212,70501162,70585327,70631982,70650710,70785271,70798131,70910482,70991337,71084647,71389830,71401138,71582167,71733488,71780671,71976950,71978887,72262757,72912748,72951082,72965647,73120502,73235118,73243700,73358002,73902344,73971724,74042767,74414122,75062698,75110233,75418761,75866297,75978057,76033642,76098260,76149152,76321670,76356778,76362607,76531557,77064025,77082898,77412007,77807722,78194601,78196108,78241758,78290218,78515481,79036550,79173298,79831110,79974418,79996385,80301388,80554430,80693047,80700174,81412402,81571858,81573224,81797671,81801057,81891345,82228920,82254871,82277365,82437247,82563294,83140137,83242282,83693918,83885887,83956018,84035242,84177633,84245167,84498124,84705753,84780852,84852104,84922985,85138327,85153184,85293470,85386801,85404871,85544428,85667796,85943912,86067148,86168242,86279601,86372340,86561962,87350768,87600871,87710848,87774607,87867494,87892440,88034671,88155148,88638967,88676428,88759402,89058710,89384938,89853418,89931442,90006967,90768367,91022098,91099882,91317912,91586004,91769877,91822601,92130496,92187178,92382017,92476830,92482664,92507535,92652202,93144950,93264247,93354988,93510271,93546245,93657778,93751936,93806933,94293985,94583602,94843860,94909324,94972807,95458617,95602934,95775247,95797332,95891242,95925620,95995662,96428338,96471777,96491287,96665316,96686901,96830312,97117738,97270762,97463870,97805842,98034922,98269614,98269977,98618421,98641952,98674704,98732838,98785940,98878995,98902622,98913007,99041548,99192977,99220447,99275845,99297127,99984007,...,613380173186989977554156081275741626338338593167371729534897116373728951742433823192235660572679633655779339983512540075243319181513751199311089591782206534063131252369515902062026789298081741047539450077052172783426502045914488793892597890002580884844218326302555894748257344689973037250048480500258229206233989870578089056913897434087853009053165653616823326013188884152413840205900900599410759968536853703065261295934577361864737475729942182271450821727771407013053168851328896952695040050199965164303942556204338587012638447088914716146863674243364851512410092261872888936708550718887684807236732538178933538432480775309297715429525114227754568077810935224515661695551810126028960809395210122895978751863046079022144163938589988304374500008474201666162260776651006435192995329153758420846151519863939653228244474726050984683453982864821490232092939179417044318518722506720536932847918714462840205891632630173066526109546696921579935845959223882433002433387689772085790981992030696260788150600140027057494091346798760041478364861120770204900034755153354529051468183657188117186682199279494011949588230702631437894338159568987057303254453119070298593043866193549018292726364041808050671924924719006028259761253564266010573821447975292770510442019653628795576752728842270491467288338235221858580338360626612413193365368499488403338239177094134510041094216569903082694316893347932186399391617759224549731399034180543275734069092236195310610506712081481534536897367056085451974593706409856570825461518647154497290703099875509986741466204633401580193064913822629659924685424027859161838711184741099807582036325963603457671192632207999571127436083092398817453088321533736306266046519553090216007611974961235874788587444401444417625038271837375814971053846693269206077407140455463180203075728673494096480095796478690841049275269397926282277916442956180897933211482985727139491851241528542077267015991688786319681383432425300941779562758289906280457855192936384519151827463283499013783737996804818093493706603753926177563703822160342441173871376088961793146879037641632866616637256760650850454045543933584825683883466098959514378530485155355188684266846543276913892340231190427988912121356571800597655746994886464952169911672242933513978053962055955484359957875604525135817667636262091009002369795696718632280398006225279550343954883096185860063683094048575539787768624362277477868606115998097625963381794205874975019442493857580314247342005283774256128100531934210644887481789241972513601116473830359190206313247541474784091356569939351414772373191612341040866932793576855402950537563932154394230696924149152343454378712471225653682063790176439159529726274279868528134832877328051751917526937206289724528659064931021917819185456569935245774810100632342766320680789289296033245819984568178514149350200381066629035008719961570678449276143043397010523994680659242506933735991094526014488829797289222537170764600396324561938147880316522786258295501207516790636559420875698493022031646761498890177988427643019166045004707432005072930486148272717000501293475111723179532587360438487353883830844484837679197504851422674675390063378240312016366390777530795812438604590294943885820412376863566837245910829965963346798814224453286980332442254064559658295268257039258333661728460367190771075680603662173651301938436100012603945206453966442815995864087560519627394825137444933983882889516858847141591504384302343043907387897454180457148428410650665545196967151312482294138381095804425383632155082661522682048509557825965693535073069227726639656501135035294559537546829623358179349714453518418431094487349675732270344861640132447555147226966035172041366563341528313146675994400415283699095987238760295537993331086211893168132844000247289798688900651240835613452552631875552559050898}
23673 229897798044507945166718243952447890605236179385010190527033750001097963177250: {47342,94676,496923,591575,709890,757216,851868,2623263,2906367,3047883,3330843,4320447,4744203,4843535,5026587,5812242,6119911,6296127,6964655,7110523,7282203,7538927,7563723,7704447,7985823,8357586,8742730,9240503,9250827,9522487,9812427,10157890,10256722,10491276,11067931,11362663,11648111,11901335,12056023,12189468,12194943,12238786,12498683,12605135,13559602,13764047,13872543,13913947,14281602,14652460,14849547,15126162,15318347,15416735,15686043,15811330,16114978,16118735,16800027,16988923,17063026,17222890,17483980,17582952,17816266,17973991,18500082,18714007,18863591,18973596,19023387,19043362,19189996,19229122,19342482,19370860,19780821,20156962,20549503,20651746,20667468,20926171,20980776,21266303,21932223,22263287,23175627,23245032,23451442,23589663,23603373,24217687,24269890,24417087,24898642,25105947,25514843,25677130,25836391,26032546,26069343,26150661,26176271,26481867,27344287,27401122,27414280,27992607,28063967,28265068,28795660,29123868,29226507,29271407,29388335,29712943,29894530,30150604,30533836,30812556,30841065,30868683,31457467,31471655,31542823,31669858,31712023,32003986,32098047,32227228,32307031,32507403,32706847,32897136,33318082,33502060,33908171,33974962,34554792,34776082,34959003,35035756,35266002,35288386,35629516,35656871,35873436,36200866,36320135,36909130,36955756,37009278,37536463,37765986,38577106,38874141,38992156,39144460,39568587,40202472,40461935,40983778,41019944,41299996,41458587,41848786,41997723,42401823,42671103,42835631,43415551,43584162,43612827,44284767,44290956,44419083,44591671,44989403,45090303,45227781,45277655,45302890,45376498,45492747,45719980,46147437,46148167,46584556,46698783,46973352,47528386,47597260,47833192,48229367,48535660,48554322,48838047,48931882,48946856,49790143,49986268,50038683,50051080,50283442,50411980,50438463,52832607,52845021,52895506,53380162,53812341,54145282,54174335,54333186,54363468,54639496,54704327,54863976,54935986,54937425,55065213,55483647,55537655,55615947,55703080,56307465,56711327,57116712,57700396,57705787,58242792,58388703,58528042,58599920,58783947,58855906,58939655,59047323,59420842,59783980,59988658,60061296,60296104,60362763,60494376,60625563,60818023,61172663,61263004,61469433,61721973,61860682,62665965,62724507,62766802,63379167,63621538,63643663,64256301,64664551,64947903,65009202,65049868,65351291,65523141,65553825,65716655,65924910,66122187,66199703,66630508,66645186,66737866,66843696,67424667,67568958,67693307,67742735,67833117,67885003,68056173,68240552,68586071,68750002,68857111,69032716,69244107,69754087,69924080,70022427,70091551,70152063,70319904,70727586,71188287,71317707,71376571,71581162,71740776,71950305,72676642,73035311,73565644,73675247,73801535,73905256,73945423,74245591,74287743,74472935,74509036,74674203,75160027,75199158,75200923,75318287,76160552,76346367,76431922,76746992,76770621,76905885,77111087,77690986,77699362,78096898,78479980,78564191,78664590,78859986,79109892,79690066,79903173,80061963,80137247,80365036,80614184,80708373,80723647,80922331,80955807,81291282,81975903,82032944,82358043,82739967,83143413,83248863,83429578,83908896,84260242,84309916,84481471,84726523,84897964,85050796,85655125,85680621,85914267,86259298,86311708,86340366,86547327,86882890,87161135,87306207,87432603,87560265,88520936,88561842,88569087,88614887,88947483,89367522,89666860,90690957,91073866,91140935,91464603,91554625,92170786,92287062,92377930,92464655,92484682,93373468,93397616,93471387,94175976,94397508,94655116,94972443,95122825,95143271,95186440,95314402,95867842,97441871,97646824,97745135,97977691,98074427,98455271,98585727,98920423,99277147,99586053,99702987,...,920070259780484966331234121913612439507507889751057594302345674560593427613650734788353490859019450483669009975268810112864978772270626798966634387673309801094696878554273853093040183947122611571309175115578259175139753068871733190838896835003871327266327489453833842122386017034959555875072720750387343809350984805867133585370846151131779513579748480425234989019783326228620760308851350899116139952805280554597891943901866042797106213594913273407176232591657110519579753276993345429042560075299947746455913834306507880518957670633372074220295511365047277268615138392809333405062826078331527210855098807268400307648721162963946573144287671341631852116716402836773492543327715189043441214092815184343968127794569118533216245907884982456561750012711302499243391164976509652789492993730637631269227279795909479842366712089076477025180974297232235348139408769125566477778083760080805399271878071694260308837448945259599789164320045382369903768938835823649503650081534658128686472988046044391182225900210040586241137020198140062217547291681155307350052132730031793577202275485782175780023298919241017924382346053947156841507239353480585954881679678605447889565799290323527439089546062712076007887387078509042389641880346399015860732171962939155765663029480443193365129093263405737200932507352832787870507540939918619790048052749232605007358765641201765061641324854854624041475340021898279599087426638836824597098551270814913601103638354292965915760068122222301805346050584128177961890559614784856238192277970731745936054649813264980112199306950102370289597370733944489887028136041788742758066777111649711373054488945405186506788948311999356691154124638598226179632482300604459399069779329635324011417962441853812182881166602166626437557407756063722456580770039903809116110710683194770304613593010241144720143694718036261573912904096889423416874664434271346899817224478590709237776862292813115900523987533179479522075148637951412669344137434859420686782789404576778727741194925248520675606995207227140240559905630889266345555733240513661760807064133442689720318556462449299924955885140976275681068315900377238525825199148439271567795727733032783026400269814915370838510346785641983368182034857700896483620492329697428254867508364400270967080943083933226539936813406787703726501454393136513503554693545077948420597009337919325515932324644278790095524641072863309681652936543416216802909173997146438945072691308812462529163740786370471371013007925661384192150797901315967331222683862958770401674710745538785309469871312212176137034854909027122158559787418511561300399190365283104425806345898231591346045386223728515181568068706838480523095685264658739294589411419802792202249315992077627876290405809434586792988597396532876728778184854902868662215150948514149481021183933944049868729976852267771224025300571599943552513079942356017673914214565095515785992020988863760400603986641789021733244695933833805756146900594486842907221820474784179387443251811275185954839131313547739533047470142248335266982641464528749067507061148007609395729222409075500751940212667584769298881040657731030825746266727256518796257277134012013085095067360468024549586166296193718657906885442415828730618565295350255868866244948945020198221336679930470498663381096839487442902385558887500492592690550786156613520905493260476952907654150018905917809680949664223993796131340779441092237706167400975824334275288270712387256576453514565861081846181270685722642615975998317795450726968723441207571643706638075448232623992284023072764336738948540302609603841589959484751702552941839306320244435037269024571680277627646641731024513598405517292460198671332720840449052758062049845012292469720013991600622925548643980858140443306989996629317839752199266000370934698033350976861253420178828947813328838576347}
23674 230710699567188148412444961923172033837382863912313353940776835986698351938306: {71013,118345,142014,260293,662564,946520,968953,1064835,1110469,1135824,1277802,1675813,2032094,2521669,2662393,3224569,3445454,3497684,3727694,3875156,4063844,4441124,5136734,5322469,5760596,6018169,6325604,6702116,7404169,7663934,7749656,8094469,8232313,8394836,8718363,8920453,9342254,9709604,10084964,10272596,10647764,11143448,11293742,12334436,12536379,12876169,13083236,13114095,13552069,13687033,13988368,14226169,14898469,15032713,15236835,15385083,15736914,16104073,16252624,16259924,17656094,17702473,18232969,18284202,18315575,18358179,18496724,18762313,19042136,19554169,19577342,19685893,19799396,20168216,20212069,20339403,20914724,21422403,21491534,21522469,21653113,21854975,21978690,22174969,22305253,22400036,22689243,23126654,23344933,23443936,23716995,23987495,23992393,24172467,24213575,24666776,24895813,25027742,25298128,25364516,25594539,25789976,25834335,26180293,26225970,26374428,26724399,26819833,27556624,27731342,27750123,27974368,28270334,28460394,28539614,28565043,28600969,28727653,28784994,28843683,29013723,29056290,29077742,29233669,29242964,29615294,30235443,30420542,30493669,30900836,30977619,30993376,31001202,31452884,31471164,31746469,32556116,32561534,32867833,33474596,34267850,34427342,34759124,34867548,34970053,35177163,35309156,35331335,35338873,35461669,35892451,35994575,36074569,36404835,37080542,37294969,37323476,37347963,37688255,38167295,38515695,38831824,38968676,39048819,39593893,39834373,40284035,40793413,41083408,41101683,41121420,41158244,41390473,41509669,41854043,41877575,42397602,42797396,42816073,42828499,43193490,43343204,43685802,43794695,43862848,43878469,44536895,44583493,44841795,45052069,45225906,45519493,45800754,46073056,46194695,46218834,46253342,46334713,46612004,46772174,47021336,47377669,47504787,47549342,47809559,47831248,48005979,48340842,48529669,48644473,48740195,48930575,49102969,49345704,49788553,49977123,50130373,50244169,50253090,50354648,50645054,50902094,50962443,51274930,51624995,51832188,51942469,52164123,52553634,52697342,52758116,52759091,52899003,52932579,53444274,53512933,53603296,53810154,54301299,54332267,55249742,55278116,55363695,55433634,55513917,55842169,55952293,55996964,56501833,56535764,56648979,56830693,56894804,57149975,57451823,57595513,57787742,57865659,58030969,58112216,58150436,58230695,58293614,58465273,58488234,58716690,59046356,59054608,59225444,59496575,59710483,59791490,60120404,60298213,60303708,60656996,60669575,60726469,61183570,61260169,61475667,61529916,61567742,61949994,62216293,62265044,62319854,62482835,62563850,62631136,62773179,63014975,64667099,64739096,64945669,65117396,65361253,65376243,65759507,65812574,66436434,66640483,66718244,67153618,67251284,67954335,68034469,68064747,68290094,68299370,68537054,68579970,69150793,69628850,69769694,69876834,70443476,70458853,70460028,70537411,70998734,71058469,71292579,71395890,71489342,71556169,71749788,71778826,72125495,72444248,72484624,72644773,72803490,72831483,73151968,73249900,73397823,73420284,73446014,73528969,73920073,73978196,74154596,74729975,74892793,74979402,75076620,75116591,75370130,75425163,75617970,75858313,75872719,76050553,76155616,76578755,76816633,77293093,77455819,77483173,77657056,77709203,77851604,77862469,78378596,78729764,78779342,78899593,79343259,79981742,80070243,80081728,80114053,80483684,80659168,80762953,80834084,81217923,81312335,81499779,81545202,81659054,81722914,81958693,81959244,82050169,82295964,82403979,82415353,82597513,82870213,82893107,83051653,83288135,83554620,83632676,83946731,84042974,84403273,84505556,85300690,85440971,85675068,85738693,86180233,86290895,86532169,86550594,86597204,86648654,86678936,87120542,87364188,87405100,87792063,87899880,88162916,88274569,88283859,88360933,88766639,88791673,88860248,89124928,89131263,89675970,89899556,89939774,89982987,90091944,90444156,90741564,91108334,91282051,91589413,91672969,91894506,91957055,92273294,92325476,92381570,92421733,92587333,92791023,93000073,93136295,93363236,93411013,93536084,93666494,93759872,94150203,94303448,94471033,94552069,94917716,95090276,95200690,95432307,95438713,95654368,95679013,95933740,95976974,96323843,96475333,96870793,97028473,97226162,97421413,97513803,97574802,97585742,97812553,98044094,98099975,98512069,98887365,98898169,98910994,99050324,99205753,99565604,99741253,99945762,99967779,...,1226760346373979955108312162551483252676677186334743459069794232747457903484867646384471321145359267311558679967025080150486638363027502398622179183564413068126262504739031804124053578596163482095078900154104345566853004091828977587785195780005161769688436652605111789496514689379946074500096961000516458412467979741156178113827794868175706018106331307233646652026377768304827680411801801198821519937073707406130522591869154723729474951459884364542901643455542814026106337702657793905390080100399930328607885112408677174025276894177829432293727348486729703024820184523745777873417101437775369614473465076357867076864961550618595430859050228455509136155621870449031323391103620252057921618790420245791957503726092158044288327877179976608749000016948403332324521553302012870385990658307516841692303039727879306456488949452101969366907965729642980464185878358834088637037445013441073865695837428925680411783265260346133052219093393843159871691918447764866004866775379544171581963984061392521576301200280054114988182693597520082956729722241540409800069510306709058102936367314376234373364398558988023899176461405262875788676319137974114606508906238140597186087732387098036585452728083616101343849849438012056519522507128532021147642895950585541020884039307257591153505457684540982934576676470443717160676721253224826386730736998976806676478354188269020082188433139806165388633786695864372798783235518449099462798068361086551468138184472390621221013424162963069073794734112170903949187412819713141650923037294308994581406199751019973482932409266803160386129827645259319849370848055718323677422369482199615164072651927206915342385264415999142254872166184797634906176643067472612532093039106180432015223949922471749577174888802888835250076543674751629942107693386538412154814280910926360406151457346988192960191592957381682098550538795852564555832885912361795866422965971454278983702483057084154534031983377572639362766864850601883559125516579812560915710385872769038303654926566998027567475993609636186987413207507852355127407644320684882347742752177923586293758075283265733233274513521301700908091087867169651367766932197919028757060970310710377368533693086553827784680462380855977824242713143601195311493989772929904339823344485867027956107924111910968719915751209050271635335272524182018004739591393437264560796012450559100687909766192371720127366188097151079575537248724554955737212231996195251926763588411749950038884987715160628494684010567548512256201063868421289774963578483945027202232947660718380412626495082949568182713139878702829544746383224682081733865587153710805901075127864308788461393848298304686908757424942451307364127580352878319059452548559737056269665754656103503835053874412579449057318129862043835638370913139870491549620201264685532641361578578592066491639969136357028298700400762133258070017439923141356898552286086794021047989361318485013867471982189052028977659594578445074341529200792649123876295760633045572516591002415033581273118841751396986044063293522997780355976855286038332090009414864010145860972296545434001002586950223446359065174720876974707767661688969675358395009702845349350780126756480624032732781555061591624877209180589887771640824753727133674491821659931926693597628448906573960664884508129119316590536514078516667323456920734381542151361207324347302603876872200025207890412907932885631991728175121039254789650274889867967765779033717694283183008768604686087814775794908360914296856821301331090393934302624964588276762191608850767264310165323045364097019115651931387070146138455453279313002270070589119075093659246716358699428907036836862188974699351464540689723280264895110294453932070344082733126683056626293351988800830567398191974477520591075986662172423786336265688000494579597377801302481671226905105263751105118101796}
23675 231526456755391301492406048936080336761092065233703960515598036679851883040515: {94684,189352,213021,828205,993846,1183150,1419780,1514432,1703736,1916703,3048141,4372105,4843945,5079805,5168181,5246526,5551405,5591541,5812734,6095766,6661686,6780949,7200745,7705101,7907005,8058853,8377645,8640894,8909641,9488406,9616189,9687070,9750517,10053174,10327621,10493545,10653973,11495901,11624484,11649097,12137005,12239822,12451429,12499741,12592254,12606205,12840745,13018477,13309705,13929310,14013381,14221046,14564406,15077854,15127446,15408894,15418045,15756541,15837613,15971646,16266601,16354045,16661869,16715172,16940613,17485460,17647189,18103501,18426133,18481006,18501654,19044974,19624854,20315780,20324905,20513444,20982552,21082837,21529453,21583429,22135862,22566229,22725326,23120905,23296222,23349301,23605371,23669797,23768221,23802670,24112046,24378936,24389886,24477572,24749245,24997366,25145989,25210270,25332457,26143405,26178493,26484141,26694613,27119204,27426303,27528094,27726589,27745086,27827894,28000045,28563204,28767181,29304920,29366013,29432941,29699094,29999413,30252324,30636694,30833470,30935593,31372086,31622660,31705645,32015701,32165437,32229956,32237301,32237470,32881189,32968035,33600054,33977846,34126052,34445780,34593481,34689981,34967960,35165904,35632532,35947982,36262441,36553705,37000164,37428014,37541613,37727182,37947192,38046774,38086724,38379992,38458244,38507773,38626045,38684964,38741720,38852089,39316105,39338955,39561642,39659833,39851797,40073293,40313924,40447369,40695145,41099006,41143669,41303492,41334936,41597013,41843245,41852342,41961552,42405501,42532606,42690591,42809421,43163989,43177491,43448905,43584435,43616613,43636297,43864446,44060317,44136445,44422941,44526574,45630813,46351254,46490064,46501803,46654345,46902884,47179326,47206746,47875117,48233461,48435374,48539780,48710845,48834174,48842301,49316773,49797284,50211894,50803429,50848189,51029686,51241513,51354260,51401775,51447805,51641013,51672782,52065092,52090429,52138686,52301322,52352542,52963734,53496745,53991997,54179005,54688574,54802244,54828560,55620813,55787581,55985214,56127934,56530136,56646709,56716141,57591320,58247736,58265005,58453014,58542814,58776670,59425886,59548297,59789060,60053653,60301208,60622453,60800617,61067672,61177861,61625112,61682130,61737366,61910509,62914934,62943310,63085646,63339716,63388717,63424046,63596403,64007972,64196094,64454456,64614062,64738549,64790235,65014806,65413694,65528703,65794272,65947645,66243337,66636164,67004120,67566589,67816342,67838859,67949924,68591893,68701131,69097645,69109584,69328251,69380013,69552164,69918006,69996205,70071512,70158261,70518073,70532004,70576772,70669705,71118505,71259032,71313742,71324013,71746872,71931733,72401732,72511263,72640270,72688045,73041517,73681501,73807945,73818260,73911512,74018556,74031805,74193589,74400457,75072926,75150505,75324733,75379635,75531972,75821245,75844069,75967581,76172713,76353141,76912395,77154212,77546857,77748282,77752717,77831305,77984312,78072229,78288920,78609709,78830451,78876589,79046013,79137174,79361797,80001181,80166411,80404944,80715231,80923870,81396745,81967556,82001917,82039888,82429093,82515517,82599992,82874613,82917174,83150451,83397805,83697572,83995446,84046381,84064105,84104389,84803646,84955453,85342206,85671262,86473189,86681613,86831102,87168324,87225654,87437437,87440421,87732351,87807037,87957769,88054345,88075035,88569534,88581912,88838166,89012521,89183342,89687235,89978806,90180606,90420229,90455562,90516613,90555310,90605780,90752996,90985494,91111081,91439960,91562375,91775355,92003317,92294874,92296334,92351613,92472745,92693245,92924991,93089197,93159229,93169112,93397566,93401257,93479781,93606649,93845775,93946704,94049989,94839829,95056772,95194520,95562973,95666384,95939449,96458734,96638341,97071320,97108644,97314505,97676094,97863764,97893712,97973245,98412205,98463637,98718861,99371413,99580286,99654651,99972536,...,1840140519560969932662468243827224879015015779502115188604691349121186855227301469576706981718038900967338019950537620225729957544541253597933268775346619602189393757108547706186080367894245223142618350231156518350279506137743466381677793670007742654532654978907667684244772034069919111750145441500774687618701969611734267170741692302263559027159496960850469978039566652457241520617702701798232279905610561109195783887803732085594212427189826546814352465183314221039159506553986690858085120150599895492911827668613015761037915341266744148440591022730094554537230276785618666810125652156663054421710197614536800615297442325927893146288575342683263704233432805673546985086655430378086882428185630368687936255589138237066432491815769964913123500025422604998486782329953019305578985987461275262538454559591818959684733424178152954050361948594464470696278817538251132955556167520161610798543756143388520617674897890519199578328640090764739807537877671647299007300163069316257372945976092088782364451800420081172482274040396280124435094583362310614700104265460063587154404550971564351560046597838482035848764692107894313683014478706961171909763359357210895779131598580647054878179092125424152015774774157018084779283760692798031721464343925878311531326058960886386730258186526811474401865014705665575741015081879837239580096105498465210014717531282403530123282649709709248082950680043796559198174853277673649194197102541629827202207276708585931831520136244444603610692101168256355923781119229569712476384555941463491872109299626529960224398613900204740579194741467888979774056272083577485516133554223299422746108977890810373013577896623998713382308249277196452359264964601208918798139558659270648022835924883707624365762333204333252875114815512127444913161540079807618232221421366389540609227186020482289440287389436072523147825808193778846833749328868542693799634448957181418475553724585626231801047975066358959044150297275902825338688274869718841373565578809153557455482389850497041351213990414454280481119811261778532691111466481027323521614128266885379440637112924898599849911770281952551362136631800754477051650398296878543135591455466065566052800539629830741677020693571283966736364069715401792967240984659394856509735016728800541934161886167866453079873626813575407453002908786273027007109387090155896841194018675838651031864649288557580191049282145726619363305873086832433605818347994292877890145382617624925058327481572740942742026015851322768384301595802631934662445367725917540803349421491077570618939742624424352274069709818054244317119574837023122600798380730566208851612691796463182692090772447457030363136137413676961046191370529317478589178822839605584404498631984155255752580811618869173585977194793065753457556369709805737324430301897028298962042367867888099737459953704535542448050601143199887105026159884712035347828429130191031571984041977727520801207973283578043466489391867667611512293801188973685814443640949568358774886503622550371909678262627095479066094940284496670533965282929057498135014122296015218791458444818151001503880425335169538597762081315462061651492533454513037592514554268024026170190134720936049099172332592387437315813770884831657461237130590700511737732489897890040396442673359860940997326762193678974885804771117775000985185381101572313227041810986520953905815308300037811835619361899328447987592262681558882184475412334801951648668550576541424774513152907029131722163692362541371445285231951996635590901453937446882415143287413276150896465247984568046145528673477897080605219207683179918969503405105883678612640488870074538049143360555255293283462049027196811034584920397342665441680898105516124099690024584939440027983201245851097287961716280886613979993258635679504398532000741869396066701953722506840357657895626657677152694}
23676 232345079575566615982760973785415545852860611922631007279919219536760285959763: {118355,142026,165683,236690,284028,307619,520586,1016219,1110563,1252019,1325128,1490769,1581803,1723019,1774725,1893040,1937906,1958219,2129670,2220938,2271648,2555604,2568803,2662619,2990723,3224843,3271643,3351626,3926003,4064188,4205963,5043338,5324786,5369363,6449138,6481523,6890908,6995368,7174283,7455388,7750312,7865243,7869789,8127688,8141123,8719101,8829563,8882248,8921219,9143649,9241763,9992529,10273468,10428923,10644938,10838603,11111363,11293043,11521192,11656019,11792003,12036338,12651208,12961341,13328123,13404232,14137619,14227403,14232609,14272283,14530605,14808338,14899763,15079761,15168203,15327868,15481019,15499312,15704219,16188938,16464626,16789672,16817219,16950443,17436726,17615483,17840906,18359733,18684508,18808019,18888381,19419208,19599803,20169928,20545192,20651483,20893965,21295528,21306443,21331569,21846609,21856825,21959603,22176923,22286896,22587484,22610963,22616781,22691169,23113341,23390219,23519843,23957469,24037619,24668872,24898019,25026803,25072758,25394725,25641805,25752338,26166472,26228190,26822219,27104138,27374066,27460019,27587363,27721509,27752481,27976736,28452338,28567461,28645763,29236283,29437281,29657123,29796938,30065426,30473670,30596965,30622019,30770166,31165523,31473828,31790963,32165363,32208146,32505248,32519848,32912219,32995043,33203793,33582493,33739019,33899005,34087989,34151219,34357019,34644803,34944333,34973219,35260163,35312188,35404946,35505803,35587619,35704005,36077843,36168069,36465938,36568404,36584829,36607619,36631150,36716358,36993448,37338923,37496049,37524626,37815405,38027219,38084272,38309963,39035219,39108338,39154684,39371786,39528325,39598792,40287445,40336432,40424138,40678806,40837019,40916723,41155643,41292141,41617629,41741841,41829448,42345923,42657565,42844806,42983068,43044938,43057225,43214219,43306226,43411019,43709950,43882523,43921763,43957380,44349938,44540665,44548641,44587619,44610506,44800072,45056243,45095243,45290123,45378486,45562619,45955041,46250205,46253308,46339019,46689866,46887872,47058129,47433990,47608405,47974990,47984786,48072805,48074219,48344934,48356205,48427150,48572483,49031219,49107563,49333552,49463869,49791626,50055484,50248883,50392405,50400081,50596256,50729032,50930219,50966769,51043523,51189078,51579952,51629365,51668670,52360586,52451940,52748856,52763557,53434213,53448798,53639666,53921973,54963803,55111403,55113248,55462684,55500246,55847483,55884203,55948736,55957619,56142021,56397649,56507219,56540668,56590773,56872619,56920788,57070161,57079228,57130086,57164363,57201938,57455306,57569988,57687366,58027446,58036523,58112580,58155484,58253843,58398563,58467338,58485928,58507019,58628605,58795883,59230588,59342463,60017843,60304019,60470886,60554003,60674725,60732323,60841084,60987338,61266083,61312573,61479083,61648509,61801672,61955238,61986752,62002404,62246605,62351653,62680643,62778513,62891723,62905768,62942328,63488219,63492938,63798909,64192825,64210861,64672573,64952003,64986683,65081365,65112232,65123068,65735666,65796669,66789861,66949192,67360283,67564883,67633019,67735163,67897609,67973219,68236273,68502805,68535700,68752643,68854684,69056483,69518248,69526881,69735096,69897083,69940106,70354326,70599323,70618312,70662670,70677746,70768989,70810119,70923338,71065523,71098763,71165219,71397563,71596403,71784902,71989150,72149138,72274993,72487619,72653061,72809670,73251261,73862363,74161084,74349923,74544443,74589938,74646952,74695926,74736325,75317841,75376510,75898019,76058219,76334590,76537619,76544529,77031390,77396003,77491019,77509173,77663648,77715781,77937352,78097638,78185603,78208029,78451983,78528813,78531443,79174645,79187786,79445601,79668746,79843019,79936163,80009965,80153219,80246123,80568070,80771219,81522973,81586826,82032861,82089083,82166816,82203366,82241363,82242840,82316488,82454219,82606019,82697003,82780946,82909019,83019338,83150843,83271563,83295205,83708086,83755150,83953837,83977821,84172883,84191901,84795204,84937405,84948203,85594792,85632146,85656998,85659083,85747619,86189219,86386980,86482619,86570483,86686408,86940205,87371604,87475969,87589390,87679521,87706163,87725696,87756938,87793019,87814221,88165005,88220965,88312643,88609873,88657619,88774153,89073790,89138829,89166986,89230019,89600363,89683590,90026003,90104138,90451812,90502165,90843803,91038986,91601508,91838149,91849643,92044019,92146112,92265683,92272825,92389390,92437668,92459219,92506684,92523195,92606049,92669426,92790083,93224008,93544348,93822817,93911843,94042672,94183403,94372401,94414965,94628469,94755338,95009574,95098684,95136069,95449019,95619118,95662496,96011958,96294141,96442765,96512219,96565043,96681684,96921093,97059338,97117763,97288946,97353563,97480390,97510403,97522209,97693019,97861150,97964581,98005163,98120541,98205938,98522843,98691408,98780483,98934683,99209773,99242219,99577106,99675923,99954246,...,2760210779341454898993702365740837318522523669253172782907037023681780282840952204365060472577058351451007029925806430338594936316811880396899903163019929403284090635662821559279120551841367834713927525346734777525419259206615199572516690505011613981798982468361501526367158051104878667625218162251162031428052954417601400756112538453395338540739245441275704967059349978685862280926554052697348419858415841663793675831705598128391318640784739820221528697774971331558739259830980036287127680225899843239367741502919523641556873011900116222660886534095141831805845415178428000215188478234994581632565296421805200922946163488891839719432863014024895556350149208510320477629983145567130323642278445553031904383383707355599648737723654947369685250038133907497730173494929528958368478981191912893807681839387728439527100136267229431075542922891696706044418226307376699433334251280242416197815634215082780926512346835778799367492960136147109711306816507470948510950244603974386059418964138133173546677700630121758723411060594420186652641875043465922050156398190095380731606826457346527340069896757723053773147038161841470524521718060441757864645039035816343668697397870970582317268638188136228023662161235527127168925641039197047582196515888817467296989088441329580095387279790217211602797522058498363611522622819755859370144158247697815022076296923605295184923974564563872124426020065694838797262279916510473791295653812444740803310915062878897747280204366666905416038151752384533885671678844354568714576833912195237808163949439794940336597920850307110868792112201833469661084408125366228274200331334949134119163466836215559520366844935998070073462373915794678538897446901813378197209337988905972034253887325561436548643499806499879312672223268191167369742310119711427348332132049584310913840779030723434160431084154108784721738712290668270250623993302814040699451673435772127713330586878439347701571962599538438566225445913854238008032412304578262060348368213730336183223584775745562026820985621681420721679716892667799036667199721540985282421192400328069160955669387347899774867655422928827043204947701131715577475597445317814703387183199098349079200809444746112515531040356925950104546104573102689450861476989092284764602525093200812901242829251799679619810440220363111179504363179409540510664080635233845261791028013757976547796973932836370286573923218589929044958809630248650408727521991439316835218073926437387587491222359111414113039023776984152576452393703947901993668051588876311205024132236616355928409613936636528411104564727081366475679362255534683901197571095849313277419037694694774038136158671185545544704206120515441569287055793976217883768234259408376606747947976232883628871217428303760378965792189598630186334554564708605986645452845542448443063551801832149606189930556803313672075901714799830657539239827068053021742643695286547357976062966591281201811959925367065199734087801501417268440701783460528721665461424352538162329755433825557864517393940643218599142410426745005800947924393586247202521183444022828187187667227226502255820638002754307896643121973193092477238800181769556388771831402036039255285202081404073648758498888581155973720656327247486191855695886050767606598734846835060594664010039791411495990143290518462328707156676662501477778071652358469840562716479781430858722962450056717753429042848992671981388394022338323276713118502202927473002825864812137161769729360543697583245538543812057167927847927994953386352180906170323622714931119914226344697871976852069218293010216845620907828811524769878454255107658825517918960733305111807073715040832882939925193073540795216551877380596013998162521347158274186149535036877409160041974801868776645931942574421329920969989887953519256597798001112804094100052930583760260536486843439986515729041}
23677 233166578028720208415853162013618474088988089952400491243348968836174977801731: {23677,189368,213039,355035,378704,426042,780879,1159487,1656410,1987692,2366300,2839560,2906859,3028864,3194505,3331407,3407472,3833406,5027439,5080235,6096282,6120947,6781523,7111727,7565007,7771967,7987179,8613635,8744210,9319235,9524099,9617003,9673707,9687890,10081043,10159610,10336362,10493052,11069807,11102810,11173679,11183082,11364587,11625468,11728703,12191532,12452483,12591059,12841835,13019579,13323372,13561898,13916303,14401490,14690963,14858867,15410202,15814010,15967407,16117706,16755290,16843199,16991807,17281788,17392463,17648687,17819282,17977043,18054507,18633587,18717179,18945179,18976812,19159835,19232378,19374140,19501034,20106348,20655242,20987090,21307946,21585263,21776339,22212507,22895663,22991802,23248968,23298194,23355635,24274010,24283407,24472163,24479644,24696939,24902858,24999482,25184508,25212410,25443899,25681490,26036954,26155089,26454479,26619410,26696879,26761359,26872427,27079523,27858620,28026762,28234355,28244843,28442092,28454867,29128812,29717987,30155708,30254892,30817788,30836090,30938219,31462799,31513082,31548179,31669283,31675226,31943292,32312507,32369267,32533202,32708090,32767787,32883983,33100979,33323738,33430344,33881226,34383743,34648943,34970920,35294378,35799683,36207002,36600767,36852266,36962012,37003308,37609137,38089948,38628507,38763299,38855387,38859587,39200063,39249708,39342285,39592499,40600043,40631560,40649810,40656207,41026888,41028227,41061099,41248307,41594459,41965104,42165674,42678507,43058906,43166858,43422923,44140235,44271724,44387903,44695407,45098139,45132458,45205883,45450652,45710505,45817883,46155249,46241810,46592444,46698602,47210742,47339594,47536442,47605340,48224092,48312219,48757872,48769979,48779772,48943355,48955144,49498490,49833179,49994732,50291978,50420540,50664914,51011987,51175187,51477323,52286810,52356986,52555667,52968282,53107419,53389226,53728835,53741099,54076463,54238408,54698907,54852606,54946725,55042547,55056188,55074537,55453178,55490172,55655788,56000090,56286939,56780303,56973203,57126408,57534362,57715583,57816635,58283459,58580543,58609840,58662507,58732026,58865882,59057679,59398188,59998826,60347603,60504648,60627599,60636207,60828467,61018209,61273388,61666940,61791023,61871186,62569355,62744172,63245320,63411290,63654467,64031402,64267209,64330874,64459912,64474602,64474940,64567407,64959339,64993763,65110187,65316083,65564925,65762378,65936070,66524907,66553979,66915759,67200108,67896527,67955692,68067729,68195183,68252104,68868803,68891560,69186962,69328355,69379962,69935920,70034799,70331808,70524059,70675835,70811843,70972499,71150985,71265064,71349035,71895964,71937839,71962485,71977179,72026927,72343547,72517401,72524882,72640725,72694355,73107410,73957979,74000328,74038235,74199887,74406779,74687439,74856028,74895443,75083226,75454364,75850607,75894384,76051355,76093548,76173448,76179179,76301123,76759984,76783617,76916488,77015546,77252090,77369928,77483440,77503005,77704178,78078863,78540879,78632210,78677910,79123284,79319666,79531523,79703594,80146586,80173197,80459499,80627848,80824067,80894738,81390290,81403835,81571007,82198012,82287338,82606984,82669872,83194026,83250369,83650907,83686490,83704684,83923104,84781643,84811002,84847667,85065212,85381182,85618842,85669625,85695129,85802907,86068355,86182959,86327978,86354982,86531049,86897810,87041169,87168870,87233226,87272594,87701007,87728892,87965243,88120634,88272890,88698479,88845882,89020139,89053148,89699507,90706329,91216883,91261626,91481007,92326703,92701355,92702508,92932857,92980128,93003606,93217787,93308690,93614603,93805768,93999023,94358652,94413492,94764779,94900523,95239407,95571179,95750234,96244763,96466922,96736703,96870748,97079560,97421690,97668348,97684602,97718099,97994687,98172827,98603499,98633546,98937587,99565907,99594568,99842723,...,3680281039121939865324936487654449758030031559004230377209382698242373710454602939153413963436077801934676039901075240451459915089082507195866537550693239204378787514217095412372160735788490446285236700462313036700559012275486932763355587340015485309065309957815335368489544068139838223500290883001549375237403939223468534341483384604527118054318993921700939956079133304914483041235405403596464559811221122218391567775607464171188424854379653093628704930366628442078319013107973381716170240301199790985823655337226031522075830682533488296881182045460189109074460553571237333620251304313326108843420395229073601230594884651855786292577150685366527408466865611347093970173310860756173764856371260737375872511178276474132864983631539929826247000050845209996973564659906038611157971974922550525076909119183637919369466848356305908100723897188928941392557635076502265911112335040323221597087512286777041235349795781038399156657280181529479615075755343294598014600326138632514745891952184177564728903600840162344964548080792560248870189166724621229400208530920127174308809101943128703120093195676964071697529384215788627366028957413922343819526718714421791558263197161294109756358184250848304031549548314036169558567521385596063442928687851756623062652117921772773460516373053622948803730029411331151482030163759674479160192210996930420029435062564807060246565299419418496165901360087593118396349706555347298388394205083259654404414553417171863663040272488889207221384202336512711847562238459139424952769111882926983744218599253059920448797227800409481158389482935777959548112544167154971032267108446598845492217955781620746027155793247997426764616498554392904718529929202417837596279117318541296045671849767415248731524666408666505750229631024254889826323080159615236464442842732779081218454372040964578880574778872145046295651616387557693667498657737085387599268897914362836951107449171252463602095950132717918088300594551805650677376549739437682747131157618307114910964779700994082702427980828908560962239622523557065382222932962054647043228256533770758881274225849797199699823540563905102724273263601508954103300796593757086271182910932131132105601079259661483354041387142567933472728139430803585934481969318789713019470033457601083868323772335732906159747253627150814906005817572546054014218774180311793682388037351677302063729298577115160382098564291453238726611746173664867211636695988585755780290765235249850116654963145481885484052031702645536768603191605263869324890735451835081606698842982155141237879485248848704548139419636108488634239149674046245201596761461132417703225383592926365384181544894914060726272274827353922092382741058634957178357645679211168808997263968310511505161623237738347171954389586131506915112739419611474648860603794056597924084735735776199474919907409071084896101202286399774210052319769424070695656858260382063143968083955455041602415946567156086932978783735335223024587602377947371628887281899136717549773007245100743819356525254190958132189880568993341067930565858114996270028244592030437582916889636302003007760850670339077195524162630924123302985066909026075185029108536048052340380269441872098198344665184774874631627541769663314922474261181401023475464979795780080792885346719721881994653524387357949771609542235550001970370762203144626454083621973041907811630616600075623671238723798656895975184525363117764368950824669603903297337101153082849549026305814058263444327384725082742890570463903993271181802907874893764830286574826552301792930495969136092291057346955794161210438415366359837939006810211767357225280977740149076098286721110510586566924098054393622069169840794685330883361796211032248199380049169878880055966402491702194575923432561773227959986517271359008797064001483738792133403907445013680715315791253315354305388}
23678 233990962150534138965743271319656899901382019055397682718152065001065923044515: {165697,236710,284052,331366,473380,568056,615238,639063,1041172,1864321,2032438,2221126,2287357,2484615,2504038,2650256,2957875,2981538,3163606,3271921,3446038,3549450,3786080,3875812,3916438,4252957,4259340,4441876,4543296,5111208,5137606,5325238,5750109,5981446,6449686,6543286,6703252,7174897,7852006,8128376,8411926,8555137,9144423,9517021,10086676,10649572,10738726,12652657,12898276,12963046,13116315,13781816,13990736,14004097,14273521,14348566,14531835,14910776,15214237,15239415,15500624,15504543,15730486,15739578,16255376,16282246,16654215,16774623,17351197,17438202,17659126,17764496,17842438,18287298,18483526,19985058,20342847,20546936,20857846,21289876,21308317,21602235,21677206,22222726,22586086,22873021,23042384,23115303,23312038,23521921,23584006,23721015,24072676,24176559,24217675,25132935,25302416,25457821,25922682,26656246,26728923,26808464,27632257,27759517,28275238,28454806,28465218,28544566,28848567,29028157,29061210,29251551,29616676,29799526,30159522,30336406,30599555,30655736,30962038,30982863,30998624,31168321,31408438,31480635,31961919,32377876,32929252,33039421,33579344,33634438,33900886,33907057,34277821,34487703,34647937,34823275,34873452,34947291,35230966,35552615,35681812,35876977,35898527,36411015,36719466,37354287,37369016,37499223,37616038,37694635,37776762,37818615,38192317,38522235,38838416,39055431,39199606,39929115,40339856,40601437,40960321,41090384,41302966,41787930,42040143,42389377,42591056,42612886,42663138,42835751,43690237,43693218,43713650,43919206,43925821,44353846,44573792,45099421,45174968,45221926,45233562,45382338,46202515,46226682,46254135,46498237,46780438,46846321,47039686,47269623,47458607,47512839,47612435,47914938,48075238,48799803,48806557,48921217,49062135,49337744,49796038,49985607,50053606,50145516,50789450,50821839,51283610,51504676,52327537,52332944,52456380,52941567,53336797,53644438,53671921,54006397,54208276,54310503,54748132,54920038,55116637,55174726,55278399,55339655,55443018,55504962,55669057,55889521,55953472,56219677,56402423,56813315,56904676,56987521,57134922,57206257,57291526,57533821,58240555,58295617,58472566,58874562,59314246,59506675,59593876,59720591,60130852,60280115,60947340,60974715,61193930,61244038,61520497,61540332,62331046,62356931,62493415,62686717,62947656,63025675,63213937,63248511,63424321,63581926,64330726,64416292,64588359,64750287,64993021,65010496,65039696,65770639,65824438,65990086,66407586,66651767,66751297,67164986,67301927,67478038,67571521,67698687,67775857,67798010,68175978,68302438,68714038,68793217,68820235,69289606,69362715,69569735,69888666,69946438,70047903,70520326,70549367,70624376,70809892,70816113,70906237,71009391,71011606,71105821,71175238,71304663,71408010,71802097,72155686,72281111,72336138,72396097,72790657,72931876,73136808,73169658,73215238,73262300,73432716,73986896,74247735,74677846,74992098,75049252,75129307,75437967,75630810,75885563,75997371,76054438,76168544,76591735,76619926,76768477,77083675,77435521,78070438,78216676,78309368,78430215,78535479,78743572,79056650,79197584,79452423,80083839,80574890,80593675,80672864,80848276,81357612,81455677,81674038,81822877,81833446,82080047,82278909,82280257,82311286,82584282,82735837,82907143,83179767,83235258,83280157,83483682,83658896,84000135,84691846,84944615,85315130,85431517,85520257,85689612,85966136,86089876,86114450,86301543,86428438,86612452,86822038,87145247,87419900,87628417,87715357,87765046,87843526,87914760,88098039,88298823,88699876,89081330,89097282,89175238,89221012,89600144,89869955,89998239,90035521,90112486,90190486,90580246,90756972,91113911,91125238,91845923,91910082,92500410,92506616,92678038,92806779,93212017,93376321,93379732,93570035,93775744,93830759,94116258,94317955,94867980,95116935,95216810,95903927,95949980,95969572,96045757,96047103,96145610,96148438,96443377,96496311,96689868,96711903,96712410,96854300,97144966,97154557,98062438,98215126,98643567,98667104,98904105,98927738,99218171,99329821,99583252,99712321,...,5520421558682909797987404731481674637045047338506345565814074047363560565681904408730120945154116702902014059851612860677189872633623760793799806326039858806568181271325643118558241103682735669427855050693469555050838518413230399145033381010023227963597964936723003052734316102209757335250436324502324062856105908835202801512225076906790677081478490882551409934118699957371724561853108105394696839716831683327587351663411196256782637281569479640443057395549942663117478519661960072574255360451799686478735483005839047283113746023800232445321773068190283663611690830356856000430376956469989163265130592843610401845892326977783679438865726028049791112700298417020640955259966291134260647284556891106063808766767414711199297475447309894739370500076267814995460346989859057916736957962383825787615363678775456879054200272534458862151085845783393412088836452614753398866668502560484832395631268430165561853024693671557598734985920272294219422613633014941897021900489207948772118837928276266347093355401260243517446822121188840373305283750086931844100312796380190761463213652914693054680139793515446107546294076323682941049043436120883515729290078071632687337394795741941164634537276376272456047324322471054254337851282078394095164393031777634934593978176882659160190774559580434423205595044116996727223045245639511718740288316495395630044152593847210590369847949129127744248852040131389677594524559833020947582591307624889481606621830125757795494560408733333810832076303504769067771343357688709137429153667824390475616327898879589880673195841700614221737584224403666939322168816250732456548400662669898268238326933672431119040733689871996140146924747831589357077794893803626756394418675977811944068507774651122873097286999612999758625344446536382334739484620239422854696664264099168621827681558061446868320862168308217569443477424581336540501247986605628081398903346871544255426661173756878695403143925199076877132450891827708476016064824609156524120696736427460672366447169551491124053641971243362841443359433785335598073334399443081970564842384800656138321911338774695799549735310845857654086409895402263431154951194890635629406774366398196698158401618889492225031062080713851900209092209146205378901722953978184569529205050186401625802485658503599359239620880440726222359008726358819081021328161270467690523582056027515953095593947865672740573147846437179858089917619260497300817455043982878633670436147852874775174982444718222828226078047553968305152904787407895803987336103177752622410048264473232711856819227873273056822209129454162732951358724511069367802395142191698626554838075389389548076272317342371091089408412241030883138574111587952435767536468518816753213495895952465767257742434856607520757931584379197260372669109129417211973290905691084896886127103603664299212379861113606627344151803429599661315078479654136106043485287390573094715952125933182562403623919850734130399468175603002834536881403566921057443330922848705076324659510867651115729034787881286437198284820853490011601895848787172494405042366888045656374375334454453004511641276005508615793286243946386184954477600363539112777543662804072078510570404162808147297516997777162311947441312654494972383711391772101535213197469693670121189328020079582822991980286581036924657414313353325002955556143304716939681125432959562861717445924900113435506858085697985343962776788044676646553426237004405854946005651729624274323539458721087395166491077087624114335855695855989906772704361812340647245429862239828452689395743953704138436586020433691241815657623049539756908510215317651035837921466610223614147430081665765879850386147081590433103754761192027996325042694316548372299070073754818320083949603737553291863885148842659841939979775907038513195596002225608188200105861167520521072973686879973031458082}
23679 234818242011485857512194691674821284476283240845861760081762983315964445882694: {47354,355065,378736,426078,497049,591725,710070,757408,852084,922857,1301465,1561758,2318974,3048657,3312820,3331689,3756057,3975384,4472307,4732600,4745409,4844765,5169057,5324175,5552345,5679120,5813718,5874657,6057728,6389010,6662814,6814944,7112329,7666812,7706409,7987857,8379065,8972169,9674529,9814929,10054878,10160470,10655777,11365549,11651069,11778009,12059089,12192564,12241894,12501857,12608345,12617889,13046929,13205257,13311965,13563046,13917481,14223454,15130014,15322241,15543934,15759209,15974358,16108089,16122845,16606969,17227270,17488420,17978569,18638470,19048198,19234006,19347414,19375780,19444569,20162086,20319220,20554729,20672724,20986104,21271709,21522849,22139614,22205620,22347358,22366164,22389757,22729174,23250936,23457406,23595729,23609367,23673809,24383064,24423369,24904966,25182118,25521329,25683670,26039158,26157303,26182937,26488689,26612345,26646744,26763657,26823769,27123796,27351241,27430947,27725289,27731297,27832606,28071101,28772057,28802980,29381926,29717734,29977587,30033889,30090845,30820404,31286769,31550857,31628020,31934814,32170889,32235412,32515809,32697889,33334089,33380269,33510580,33686398,33879129,33916817,33983614,34563576,34784926,34968057,35297374,35376009,35395081,35461217,35638564,35954086,36109014,37020845,37267174,37434358,37546009,37890358,37953624,38319670,38464756,38748280,38862889,38884023,39002068,39528097,39984369,40212696,40454237,40472345,41161565,41310484,41974180,42412857,42615892,42682209,42697827,42816849,43170526,43426609,43552678,43591815,43623457,44425014,44602265,44699289,45237629,45239283,45504609,45791326,45983604,46101049,46443057,46497936,46596388,46711270,47112657,47981869,48241649,48548020,48566814,48944326,48959288,48977737,49393878,49805716,49998964,50369016,50424820,50451657,50851329,50887798,51362980,52073908,52310178,52403537,52846449,52908958,53222317,53238820,53393758,53522718,53744854,54159046,55079199,55717240,56053524,56424057,56468710,56489686,56665143,56725769,56884184,56909734,57954089,58257624,58799409,58893757,59435974,60311416,60509784,60810941,61635576,61672180,61796329,61876438,61954449,62681895,62925598,63026164,63096358,63338566,63350452,63886584,63919329,63994707,64380845,64625014,64654337,64738534,65066404,65416180,65535574,65539827,65570475,65767966,65878809,66201958,66530769,66647476,66860688,67447321,67760345,67762452,67832889,67850343,68073507,68435165,68520697,68603537,68767486,68874649,68975021,69237641,69297886,69340023,69941840,70170657,70559529,70588756,71130845,71599366,71872407,72112857,72414004,72770209,73201534,73694009,73704532,73924024,73964257,74006616,74492345,74694057,75080409,75163565,75218274,75220369,76179896,76184175,76925415,77130749,77257014,77526598,77710774,77719174,78400126,78499416,78623057,78684570,79184998,79538281,79904297,80023129,80466657,80520365,80943289,81200086,81263120,81299620,81312414,82015841,82053776,82056454,82122198,82380057,82496614,82762089,83164527,83188918,83257443,83930208,84331348,85357014,85702383,85930301,85937289,86117812,86333716,86845846,87597097,87655597,87708849,88280470,88311843,88512365,88543448,88775806,88971369,89016257,89390814,89707129,90196278,90264916,90411766,90901304,91164845,91421010,91577875,91635766,91790895,91864649,91866057,92310498,92483620,93184888,93397204,93496569,93811565,94421484,94679188,95072884,95210680,95372889,96448184,96496089,96624438,97059697,97466717,97515744,97539958,97559544,97770845,97886710,97910288,98181169,98429465,98646761,98736657,98946169,98985129,98996980,99610841,99611379,99666358,99888649,99989464,...,8280632338024364696981107097222511955567571007759518348721111071045340848522856613095181417731175054353021089777419291015784808950435641190699709489059788209852271906988464677837361655524103504141782576040204332576257777619845598717550071515034841945396947405084504579101474153314636002875654486753486094284158863252804202268337615360186015622217736323827114901178049936057586842779662158092045259575247524991381027495116794385173955922354219460664586093324913994676217779492940108861383040677699529718103224508758570924670619035700348667982659602285425495417536245535284000645565434704983744897695889265415602768838490466675519158298589042074686669050447625530961432889949436701390970926835336659095713150151122066798946213170964842109055750114401722493190520484788586875105436943575738681423045518163185318581300408801688293226628768675090118133254678922130098300002753840727248593446902645248342779537040507336398102478880408441329133920449522412845532850733811923158178256892414399520640033101890365276170233181783260559957925625130397766150469194570286142194820479372039582020209690273169161319441114485524411573565154181325273593935117107449031006092193612911746951805914564408684070986483706581381506776923117591142746589547666452401890967265323988740286161839370651634808392566175495090834567868459267578110432474743093445066228890770815885554771923693691616373278060197084516391786839749531421373886961437334222409932745188636693241840613100000716248114455257153601657015036533063706143730501736585713424491848319384821009793762550921332606376336605500408983253224376098684822600994004847402357490400508646678561100534807994210220387121747384035616692340705440134591628013966717916102761661976684309645930499419499637938016669804573502109226930359134282044996396148752932741522337092170302481293252462326354165216136872004810751871979908442122098355020307316383139991760635318043104715887798615315698676337741562714024097236913734786181045104641191008549670754327236686080462956865044262165039150678003397110001599164622955847263577200984207482867008162043699324602966268786481129614843103395146732426792335953444110161549597295047237602428334238337546593121070777850313638313719308068352584430967276854293807575279602438703728487755399038859431320661089333538513089538228621531992241905701535785373084041273929643390921798509110859721769655769787134876428890745951226182565974317950505654221779312162762473667077334242339117071330952457729357181111843705981004154766628933615072396709849067785228841809909585233313694181244099427038086766604051703592713287547939832257113084084322114408476013556636634112618361546324707861167381928653651304702778225129820243843928698650886613652284911281136897376568795890559003663694125817959936358536627345329190655405496448818569791670409941016227705144399491972617719481204159065227931085859642073928188899773843605435879776101195599202263404504251805322105350381586164996384273057614486989266301476673593552181821929655797427231280235017402843773180758741607563550332068484561563001681679506767461914008262923689929365919579277431716400545308669166315494206108117765855606244212220946275496665743467921161968981742458575567087658152302819796204540505181783992030119374234487970429871555386986121470029987504433334214957075409521688149439344292576168887350170153260287128546978015944165182067014969830139355506608782419008477594436411485309188081631092749736615631436171503783543783984860159056542718510970868144793359742679034093615930556207654879030650536862723486434574309635362765322976476553756882199915335421221145122498648819775579220622385649655632141788041994487564041474822558448605110632227480125924405606329937795827723263989762909969663860557769793394003338412282300158791751280781609460530319959547187123}
23680 235648427716968058468151785160752222766258341775482497249820638124753695312691: {71031,260359,331394,402271,473420,568104,639117,662732,946760,1065105,1110751,1136112,1230476,1252231,1278126,1676239,2082344,2342637,2663071,3084919,3478461,3506119,3728642,4064876,4141025,4442252,4574714,4969230,5008076,5300512,5463151,5915750,5963076,6158671,6327212,6543842,6575119,6892076,7098900,7267759,7572160,7751624,7832876,8096551,8234431,8372239,8505914,8518680,8720577,8883752,8922751,9060199,9086592,9334879,9583515,9994221,10222416,10275212,10650476,11113279,11385799,11500218,11962892,12065839,12899372,13014871,13086572,13406504,13690591,13825519,14229871,14349794,14767999,15036631,15082317,15170839,15240705,15573031,15704012,16256752,16508959,16823852,17042191,17110274,17707111,18288846,18362841,18502639,18767239,18899431,19034042,19691071,20173352,20344569,20742559,21135679,21299144,21335181,21397399,21477452,21658831,21860525,22050439,22311151,22695021,23315901,23961537,23998759,24219725,25031239,25305314,25399025,25796552,25840905,25926092,26232630,27563632,27757025,27957705,27981472,28008194,28547042,28572297,28697132,28735351,28851009,28861999,29021121,29063670,29821552,30243129,30428474,30478830,30627511,31001248,31009086,31379839,31460972,31479156,31879951,32254279,32510752,32564492,33000991,33209421,33308430,33521037,33549246,33745111,33904745,34093761,34702394,34733239,34876404,35186109,35318252,35348479,35471311,35528992,35594071,35684876,36003725,36574596,36695671,36967052,37357449,37773177,38525505,39058737,39122791,39535025,39970116,40294265,40685694,40924231,41093872,41521111,41640271,41715692,41748909,41888225,42579752,42616634,42839377,42946279,43204470,43300951,43354412,44072889,44445452,44548205,44576601,44595871,44713159,44947519,45172172,45532159,45746042,46084768,46230606,46624076,47043842,47168012,47442030,47506471,47902221,48080945,48145352,48353118,48435350,48658111,48752585,49116751,49773661,49802551,49916599,50258311,50265870,50529597,50604832,50915642,50975421,51279559,51638105,51845364,52177389,52182439,52467725,52772489,52946061,53269865,53312492,53457846,53528119,53616928,53931129,54163521,54419479,54641599,55195639,55264514,55519034,55858111,55900761,55968271,56151537,56550476,56627719,56835537,56909612,56930436,57089132,57393799,57479505,57697134,58047631,58056314,58122420,58245485,58482079,58503102,59233352,59599052,60319044,60422839,60672812,60685025,60744031,61199110,61311472,61384471,61924076,61965726,61997248,62022319,62257145,62336642,62498705,62763199,62816876,62961270,63031025,63923838,64203725,64443391,64683521,64755752,64755789,65092385,65329017,65587831,65858504,66078842,66548525,66637521,66657409,67158688,67268876,67646311,67801772,67814114,68054551,68555642,68686989,68975406,69295874,69646550,69746904,69776719,69894582,69977959,70066905,70461932,71105230,71179351,71363624,71577511,71753954,71797054,72567871,72822030,72850221,73256839,73416489,73438932,73942279,74090817,74234959,74708574,74738032,74915359,74998446,75012271,75232076,75389270,75553524,75637230,76331697,76384634,77044470,77090225,77411671,77475517,77601679,77676832,77728937,78110862,78399212,78465267,78782705,79017559,79188065,79363437,79538641,79858230,80090637,80284077,80617281,80679712,80695231,80880199,81202874,81238569,81333005,81536777,81770225,81920642,81983959,82075471,82180768,82605932,82623031,82714039,82914161,83167999,83309345,83575860,83968049,84080286,84392161,84697999,84703065,84734529,84778754,85144039,85182112,85225772,85326276,85364601,85671502,86559271,86647111,87380474,87386436,87427300,87490781,87838412,87851642,88235945,88388791,88475119,88624877,88707692,88789181,88905679,89147584,89153961,89505439,89676151,90198842,90349936,90443852,90467124,90517505,90764676,91702231,92130665,92405030,92451319,92453364,92508270,92534191,92814657,92947471,92996474,93523039,93560876,93692642,94079372,94388397,94539246,94582591,94644537,94917214,95007849,95025678,95224870,95829876,96150476,96348329,96585991,96937521,97107801,97138879,97397629,97531639,97599606,97613114,97842434,97981169,98078479,98124270,98303361,98621791,98651949,98675488,99302937,99592076,99971214,...,11040843117365819595974809462963349274090094677012691131628148094727121131363808817460241890308233405804028119703225721354379745267247521587599612652079717613136362542651286237116482207365471338855710101386939110101677036826460798290066762020046455927195929873446006105468632204419514670500872649004648125712211817670405603024450153813581354162956981765102819868237399914743449123706216210789393679433663366655174703326822392513565274563138959280886114791099885326234957039323920145148510720903599372957470966011678094566227492047600464890643546136380567327223381660713712000860753912939978326530261185687220803691784653955567358877731452056099582225400596834041281910519932582268521294569113782212127617533534829422398594950894619789478741000152535629990920693979718115833473915924767651575230727357550913758108400545068917724302171691566786824177672905229506797733337005120969664791262536860331123706049387343115197469971840544588438845227266029883794043800978415897544237675856552532694186710802520487034893644242377680746610567500173863688200625592760381522926427305829386109360279587030892215092588152647365882098086872241767031458580156143265374674789591483882329269074552752544912094648644942108508675702564156788190328786063555269869187956353765318320381549119160868846411190088233993454446090491279023437480576632990791260088305187694421180739695898258255488497704080262779355189049119666041895165182615249778963213243660251515590989120817466667621664152607009538135542686715377418274858307335648780951232655797759179761346391683401228443475168448807333878644337632501464913096801325339796536476653867344862238081467379743992280293849495663178714155589787607253512788837351955623888137015549302245746194573999225999517250688893072764669478969240478845709393328528198337243655363116122893736641724336616435138886954849162673081002495973211256162797806693743088510853322347513757390806287850398153754264901783655416952032129649218313048241393472854921344732894339102982248107283942486725682886718867570671196146668798886163941129684769601312276643822677549391599099470621691715308172819790804526862309902389781271258813548732796393396316803237778984450062124161427703800418184418292410757803445907956369139058410100372803251604971317007198718479241760881452444718017452717638162042656322540935381047164112055031906191187895731345481146295692874359716179835238520994601634910087965757267340872295705749550349964889436445656452156095107936610305809574815791607974672206355505244820096528946465423713638455746546113644418258908325465902717449022138735604790284383397253109676150778779096152544634684742182178816824482061766277148223175904871535072937037633506426991791904931534515484869713215041515863168758394520745338218258834423946581811382169793772254207207328598424759722227213254688303606859199322630156959308272212086970574781146189431904251866365124807247839701468260798936351206005669073762807133842114886661845697410152649319021735302231458069575762572874396569641706980023203791697574344988810084733776091312748750668908906009023282552011017231586572487892772369908955200727078225555087325608144157021140808325616294595033995554324623894882625308989944767422783544203070426394939387340242378656040159165645983960573162073849314828626706650005911112286609433879362250865919125723434891849800226871013716171395970687925553576089353293106852474008811709892011303459248548647078917442174790332982154175248228671711391711979813545408723624681294490859724479656905378791487907408276873172040867382483631315246099079513817020430635302071675842933220447228294860163331531759700772294163180866207509522384055992650085388633096744598140147509636640167899207475106583727770297685319683879959551814077026391192004451216376400211722335041042145947373759946062916164}
23681 236481529407408945760429586542095972426046998951088961726714644845963180684669: {94708,497091,591775,710130,757472,828415,852156,994098,1183450,1420140,1514816,1538095,1704168,1822051,1845714,1917189,2602930,3123516,4637948,5081095,5552815,5592963,6097314,6260095,6625640,6663378,6782671,6862071,7453845,7512114,7773283,7909015,7950768,8615095,8873625,8944614,9465200,9490818,9618631,9689530,9791095,9815763,10338114,10648350,10656679,11104690,11175571,11358240,11627436,11730691,11749314,12115456,12213091,12454591,12593191,12758871,12778020,12844015,13021783,13313095,13325628,13629888,14224658,14861383,14953615,15333624,15412818,15760543,15841639,15975714,16124215,16358215,16465231,16758130,16846051,17250327,17395411,17651683,17944338,18108103,18430819,18636751,19349058,19629858,19630015,19866943,20109756,20320940,21029815,21311554,21524691,22571983,22731098,23085799,23302138,23556018,23774263,24118178,24385128,24476311,24483788,25003714,25216690,25235778,25665411,26093858,26410514,26458963,26623930,26701411,26846815,27126092,27433269,27733651,27834962,28249639,28446908,28476751,28551063,29281351,29440423,30007039,30260028,30644482,30943471,31087868,31518418,31948716,32023843,32216178,32245690,32407615,32773351,33213938,33272791,33919699,34389571,34454540,34976840,35805751,35871415,35957138,35978899,36271663,37257283,37276940,37957971,38096396,38468012,38694828,38751560,38861983,38889138,39326215,39348945,39669919,40083511,40324172,40367623,40457671,40638440,40705615,41109458,41255311,41345448,41908711,41972208,42012291,42127183,42543418,42820563,42850183,43045698,43595505,44147815,44279228,44411240,44606095,44694716,44714791,44732328,44779514,45213559,45458348,45463711,45642711,45718245,46208815,46501872,46513629,46914812,47191458,47218734,47347618,48553279,48766128,48846738,49809932,49962645,50323869,50364236,50559703,50816383,50865991,51042658,51367340,51829183,52053591,52078316,52144615,52314606,52365874,52564591,52977378,53224690,53293488,53527314,53647538,54193015,54247592,54448339,54702482,54722911,54861894,55450578,55462594,55556815,55665212,56142202,56465215,56661283,57042439,57515491,57544114,57605960,57626191,58280095,58568659,58740271,58763852,58960015,59037343,59435468,59955174,60067778,60181690,60637891,60816103,61028541,61600099,61640808,62443171,62573538,63101714,63256040,63869628,63924951,64341778,64470824,64806705,65004799,65031618,65395778,66640615,66668178,66707983,66760538,67021160,67372796,67758258,67833634,67967228,68619063,68734051,69127152,69345909,69569852,69752419,69936114,70340863,70536031,70565763,70594748,70688095,70752018,70790162,70922434,71137015,71163045,71277128,71361415,71908172,71950051,72218028,72355831,72529677,72653025,73731919,74041690,74212483,74498815,74534348,74868716,75092018,75398805,75780716,75841015,75907248,76192111,76216831,76314079,76373463,76409671,76639340,76929512,77137303,77405095,77496560,77725778,77768046,78004136,78521095,78629731,79056194,79968738,80164471,80186769,80418151,80425392,80565343,80837791,80908474,80944690,81826303,82022803,82323130,82450111,82620968,82896771,83278551,83665111,83948360,84086095,84752215,84796039,84825714,84977299,85231784,85364418,85395654,85633698,86341052,86495431,86545701,86853218,87084471,87105356,87183630,87246914,87754653,88077415,88644991,88850028,89204530,89398578,89529319,90122023,90133183,90475258,90478566,91009218,91582652,91798665,91967208,92055139,92202098,92810191,92886114,92948589,92995872,93182983,93192776,93422540,93504963,94040095,94225314,94432351,94441905,94864483,95587591,95809231,95885757,95963738,96483298,97096040,97100179,97133628,97474999,97888652,97918576,97955474,97999015,98383111,98599663,98787756,99118263,99396751,99583183,99611432,99997928,...,16561264676048729393962214194445023911135142015519036697442222142090681697045713226190362835462350108706042179554838582031569617900871282381399418978119576419704543813976929355674723311048207008283565152080408665152515555239691197435100143030069683890793894810169009158202948306629272005751308973506972188568317726505608404536675230720372031244435472647654229802356099872115173685559324316184090519150495049982762054990233588770347911844708438921329172186649827989352435558985880217722766081355399059436206449017517141849341238071400697335965319204570850990835072491070568001291130869409967489795391778530831205537676980933351038316597178084149373338100895251061922865779898873402781941853670673318191426300302244133597892426341929684218111500228803444986381040969577173750210873887151477362846091036326370637162600817603376586453257537350180236266509357844260196600005507681454497186893805290496685559074081014672796204957760816882658267840899044825691065701467623846316356513784828799041280066203780730552340466363566521119915851250260795532300938389140572284389640958744079164040419380546338322638882228971048823147130308362650547187870234214898062012184387225823493903611829128817368141972967413162763013553846235182285493179095332904803781934530647977480572323678741303269616785132350990181669135736918535156220864949486186890132457781541631771109543847387383232746556120394169032783573679499062842747773922874668444819865490377273386483681226200001432496228910514307203314030073066127412287461003473171426848983696638769642019587525101842665212752673211000817966506448752197369645201988009694804714980801017293357122201069615988420440774243494768071233384681410880269183256027933435832205523323953368619291860998838999275876033339609147004218453860718268564089992792297505865483044674184340604962586504924652708330432273744009621503743959816884244196710040614632766279983521270636086209431775597230631397352675483125428048194473827469572362090209282382017099341508654473372160925913730088524330078301356006794220003198329245911694527154401968414965734016324087398649205932537572962259229686206790293464853584671906888220323099194590094475204856668476675093186242141555700627276627438616136705168861934553708587615150559204877407456975510798077718862641322178667077026179076457243063984483811403071570746168082547859286781843597018221719443539311539574269752857781491902452365131948635901011308443558624325524947334154668484678234142661904915458714362223687411962008309533257867230144793419698135570457683619819170466627388362488198854076173533208103407185426575095879664514226168168644228816952027113273268225236723092649415722334763857307302609405556450259640487687857397301773227304569822562273794753137591781118007327388251635919872717073254690658381310810992897637139583340819882032455410288798983945235438962408318130455862171719284147856377799547687210871759552202391198404526809008503610644210700763172329992768546115228973978532602953347187104363643859311594854462560470034805687546361517483215127100664136969123126003363359013534923828016525847379858731839158554863432801090617338332630988412216235531711212488424441892550993331486935842323937963484917151134175316304605639592409081010363567984060238748468975940859743110773972242940059975008866668429914150819043376298878688585152337774700340306520574257093956031888330364134029939660278711013217564838016955188872822970618376163262185499473231262872343007567087567969720318113085437021941736289586719485358068187231861112415309758061301073725446972869148619270725530645952953107513764399830670842442290244997297639551158441244771299311264283576083988975128082949645116897210221264454960251848811212659875591655446527979525819939327721115539586788006676824564600317583502561563218921060639919094374246}
23682 237317557258392909358027589669529820215109484208306461848787687280559812361138: {118385,142062,260381,307697,449597,520718,662788,804542,946840,1065195,1136208,1252337,1278234,1325464,1393757,1491147,1723457,1775175,1864637,1893520,1958717,2099777,2130210,2221502,2272224,2381681,2460952,2504462,2556252,2768571,3352478,3553181,3904395,4067057,4164688,4685274,5231357,5326142,5797435,5881181,6169838,6621917,6956922,7012238,7268381,7314497,7457284,8129752,8143217,8282050,8884504,9060977,9145971,9149428,9938460,9995067,10016152,10021181,10601024,10926302,11114237,11268171,11795057,11831500,11926152,12112157,12317342,12654424,13087684,13150238,13416921,13784152,13871681,14197800,14236227,14275997,14534295,14535518,14769281,14814077,15037937,15144320,15216881,15503248,15507171,15665752,15972525,16193102,16287857,16468862,16510397,16657035,16744478,16954877,17011828,17037360,17441154,17442881,17623971,17767504,17845502,18120398,18173184,18548381,18669758,18768881,18812957,18945137,19167030,19988442,20444832,20550424,21300952,21336987,21399281,22226558,22313117,22486781,22771598,22963697,23000436,23119227,23353181,23526077,23925784,23963571,24000881,24043997,24131678,24173297,25033457,25137195,25401175,25798744,25933181,26029742,26173144,26360381,26573681,26813008,26916507,26999681,27254897,27381182,27594737,27651038,28018817,28459742,28699588,28906781,29023587,29117681,29444787,29535998,30073262,30164634,30341678,30481410,30604735,31146062,31173917,31382657,31408024,31674557,31967331,32298737,32513504,33017918,33045377,33128177,33500381,33647704,33748157,33907615,34084382,34096647,34220548,34284017,34366337,34489757,34736381,34953207,35334027,35414222,35515457,35558635,35719997,36177267,36577692,36725682,36739697,37005278,37505571,37534478,37794881,37798862,37825035,37853667,38068084,38441537,38859835,39140787,39166577,39382142,39407681,39608381,39615771,39848957,39935895,40009181,40346704,40608881,40689138,40967837,41485118,41752443,42001181,42271358,42598288,42670362,42794798,42954904,43068175,43317662,43344317,43721050,44100878,44622302,44717297,44951681,44990717,45390042,45575297,45966723,46351937,46506881,46596175,46631802,46855037,47277627,47466643,47620495,47923074,47997518,48085015,48324267,48368535,48439450,48815681,49820907,49959281,50062478,50405215,50610628,50798050,51057917,51593104,51681810,51852184,52465260,53011037,53682077,53756477,53935707,54683777,55127264,55200881,55349035,55514050,55868395,55900157,55915410,55962944,55973597,56016388,56120381,56411971,56633117,56822935,56998397,57094084,57144594,57394264,57470702,57617537,57702018,57723998,58042242,58127340,58333707,58523837,58643515,59065217,59643104,60428657,60486258,60856948,60957660,60963677,61255022,61390397,61664187,62002496,62018172,62063681,62262415,62367487,62381597,62759678,62769281,62921944,62955295,62958312,63506717,63611777,63759902,63815127,64135997,64209175,64508558,64568547,65021504,65097895,65128984,65594237,66001982,66418842,66421181,66616860,66764381,67042074,67098492,67169271,67313323,67482497,67490222,67652957,67755137,67809490,68187522,68253619,68264957,69178097,69404788,69466478,69514817,69581515,69752808,69783617,70018397,70372218,70620317,70636504,70696958,70787187,70828101,70942622,71021427,71057984,71186417,71188142,71286077,71369752,71617757,71981681,72007450,72179777,72293347,72805181,73149192,73264157,73270107,73391342,73454815,73460381,73786781,73934104,74079857,74242397,74294335,74469617,74577811,74714898,75052097,75438977,75546354,75888881,76560797,76563987,76847681,76974977,77051010,77451197,77514557,77609537,77641181,77830877,78117474,78245582,78471909,78548811,78743681,79056881,79070050,79466067,79837035,79867457,79940232,79960637,80270717,80290971,80456381,80471307,80588530,80734337,80888477,81371388,81543679,81848462,81992381,82053723,82114397,82187744,82292841,82449281,82631537,82722557,82752881,83042222,83175867,83193891,83280542,83431384,83497818,83776450,84079217,84213303,84215995,84288797,84438257,84959035,84974657,85159504,85182557,85233268,85597181,85678754,85774397,85892558,86316171,86408940,86597597,86601902,86708824,86962315,87160003,87210881,87498187,87820637,88145778,88243435,88513181,88632379,88829057,88890904,89096410,89153202,89191742,89258237,89426318,89543357,89885215,89895038,89932761,90101667,90272535,90344344,90393917,90816497,91064318,91129339,91492084,91861471,91878977,92156657,92169536,92461212,92488817,92737181,92984897,93167935,93248152,93451037,93560381,93585895,93696881,93846643,93860307,94087684,94336024,94652571,94725895,94754717,94884060,95012942,95799175,95804442,95827037,95960177,96161890,96290704,96512667,96517181,96706236,96870700,97175681,97316222,97463837,97505170,97547427,97989463,98093667,98233502,98477681,98632577,98890097,99121181,99234967,99351617,99547322,99605102,99632381,99785117,99833198,...,24841897014073094090943321291667535866702713023278555046163333213136022545568569839285544253193525163059063269332257873047354426851306923572099128467179364629556815720965394033512084966572310512425347728120612997728773332859536796152650214545104525836190842215253513737304422459943908008626963460260458282852476589758412606805012846080558046866653208971481344703534149808172760528338986474276135778725742574974143082485350383155521867767062658381993758279974741984028653338478820326584149122033098589154309673526275712774011857107101046003947978806856276486252608736605852001936696304114951234693087667796246808306515471400026557474895767126224060007151342876592884298669848310104172912780506009977287139450453366200396838639512894526327167250343205167479571561454365760625316310830727216044269136554489555955743901226405064879679886306025270354399764036766390294900008261522181745780340707935745028338611121522009194307436641225323987401761348567238536598552201435769474534770677243198561920099305671095828510699545349781679873776875391193298451407583710858426584461438116118746060629070819507483958323343456573234720695462543975820781805351322347093018276580838735240855417743693226052212959451119744144520330769352773428239768642999357205672901795971966220858485518111954904425177698526485272503703605377802734331297424229280335198686672312447656664315771081074849119834180591253549175360519248594264121660884312002667229798235565910079725521839300002148744343365771460804971045109599191118431191505209757140273475544958154463029381287652763997819129009816501226949759673128296054467802982014542207072471201525940035683301604423982630661161365242152106850077022116320403774884041900153748308284985930052928937791498258498913814050009413720506327680791077402846134989188446258798224567011276510907443879757386979062495648410616014432255615939725326366295065060921949149419975281905954129314147663395845947096029013224688142072291710741204358543135313923573025649012262981710058241388870595132786495117452034010191330004797493868867541790731602952622448601024486131097973808898806359443388844529310185440197280377007860332330484648791885141712807285002715012639779363212333550940914941157924205057753292901830562881422725838807316111185463266197116578293961983268000615539268614685864595976725717104607356119252123821788930172765395527332579165308967309361404629286672237853678547697922953851516962665337936488287421001232002727017351213992857373188071543335531117943012464299886800845217190129547203355686525429728755699941082543732298281114260299812155110778139862643819496771339252252966343225428040669909902337855084638974123583502145785960953914108334675389460731531786095952659840956854733843410692129706387671677010991082377453879809075609882035987571966216489346455709375011229823048683115433198475917853158443612477195683793257578926221784566699321530816307639328303586797606790213512755415966316051144758494989152819172843460967798904430020780656545465788967392281693840705052208531319542276224822690650996205453684689005045038520302385742024788771069788097758737832295149201635926007498946482618324353297566818732636662838826489997230403763485906945227375726701262974456908459388613621515545351976090358122703463911289614666160958364410089962513300002644871226228565064448318032877728506662050510459780861385640934047832495546201044909490418066519826347257025432783309234455927564244893278249209846894308514511350631351954580477169628155532912604434380079228037102280847791668622964637091951610588170459303722928906088295968929429661270646599746006263663435367495946459326737661867156948966896425364125983462692124424467675345815331896682440377773216818989813387483169791969288729908991581673309380182010015236846900476375253842344828381590959878641561369}
23683 238156521480781614747189899309399696330272130232856811278771689751745039401925: {189416,213093,781077,828485,994182,1159781,1183550,1206813,1420260,1514944,1656830,1704312,1917351,1988196,2153333,2366900,2840280,3029632,3076190,3195315,3332253,3408336,3644102,3691428,3756693,3834378,5028717,5205860,6247032,7027911,7113533,7773941,7989213,8764133,9254757,9275896,9321605,10162190,10435383,10518357,11072621,11105630,11176517,11185926,11367473,11436785,12061133,12194628,12423075,12520190,12594257,13207493,13251280,13326756,13565342,13707533,13724142,13919837,14433653,14789375,14862641,14907690,15024228,15546566,15818030,15901536,16359605,16389453,16609781,16847477,17230190,17268413,17747250,17889228,17981621,18402317,18476013,18638333,18721937,18930400,18949997,18981636,19237262,19379060,19582190,19631526,19725357,20103173,20502317,20558213,20676228,20935061,21237077,21264785,21296700,21313358,21781877,21803277,22209380,22351142,22573901,22716480,22901501,23254872,23461382,23498628,24230912,24289653,24426182,24703293,24909182,25116717,25186382,25517742,25556040,25688030,26043566,26161731,26626190,26651256,26768253,26879261,27180597,27259776,27283217,27355877,27482021,28004637,28252037,28449316,28750545,29278913,29441741,29722766,29907230,29982663,30667248,30825636,31470797,31521086,31556213,31683278,31826957,31951428,32248430,32320721,32716430,32776133,32930462,33109397,33339837,33385937,33516260,33692102,34157397,34500654,34605233,34790822,35303366,35874485,35888676,36197517,36216206,36356813,36861638,37187237,37273502,37552373,37585541,38698116,38773157,39044613,39259716,39260030,39733886,40086917,40219512,40641880,41038661,41071773,41258813,41476557,41605037,41736017,42059630,42151637,42520517,42623108,42689613,42775685,42846677,43049382,43151597,43433981,43651121,44303997,45109893,45143966,45217397,45246951,45370661,45462196,45512517,45722115,46108877,46171598,46265873,46604276,46719093,47112036,47548526,47585105,47681453,47891381,48236356,48770256,48952622,48967576,49526877,49920977,50007428,50219981,50433380,50471556,50820701,51126573,51330822,51382397,51901781,52187716,52569053,52821028,52844753,52917926,53121333,53247860,53402822,53693630,54252184,54866538,55056701,55088523,55467302,55507917,55669924,55806533,56301717,56499278,56698293,56794781,56893816,56953502,56987861,57102126,58562702,58880846,58976081,59073213,59824997,60014078,60114353,60520056,61033707,61288964,61806941,61886942,62115581,62175736,62227677,62448533,62745521,63036836,63263285,63407037,63897432,64005543,64047686,64192197,64348037,64432356,64491380,64692341,64815230,64976493,65010317,65546702,65581575,66151317,66265841,66427876,66545582,66933453,67839398,67972853,68085063,68779142,68886341,68909080,69947703,69953680,70020485,71367605,71611502,71742830,71884611,71914276,71957798,71996277,72361973,72543326,72659175,72800117,73002461,73976813,74514566,74553880,74555981,75093717,75191957,75870221,75915942,76071185,76192792,76197075,76320557,76936024,77014913,77389656,77503120,77522715,77573201,77723966,77778276,77779541,78652430,78697890,79051301,79339838,80036717,80167022,80648344,80735246,80844653,80915342,81276880,81411230,81592133,81646757,82218916,82434677,82457117,82510622,82544021,82690896,83271075,83672213,83817422,83873115,83944416,84024582,84074933,84254366,84517361,84803237,85086836,85183517,85641126,85700366,85716891,86091396,86206053,86553027,86585997,86755985,87063363,87191010,87467141,87670481,88090253,88295630,88558456,88822480,89212190,89389432,89429582,89464656,89559028,90427118,90729387,90916696,90927422,91142033,91285422,91436490,91882533,92417630,93003744,93027258,93120821,93190901,93296861,93829624,94139517,94382916,94437468,94695236,94924721,95039633,95639853,96762837,97106558,97108517,97532256,97693476,98963333,99002973,99405197,99591821,99619864,99628263,99905981,99925290,...,33122529352097458787924428388890047822270284031038073394884444284181363394091426452380725670924700217412084359109677164063139235801742564762798837956239152839409087627953858711349446622096414016567130304160817330305031110479382394870200286060139367781587789620338018316405896613258544011502617947013944377136635453011216809073350461440744062488870945295308459604712199744230347371118648632368181038300990099965524109980467177540695823689416877842658344373299655978704871117971760435445532162710798118872412898035034283698682476142801394671930638409141701981670144982141136002582261738819934979590783557061662411075353961866702076633194356168298746676201790502123845731559797746805563883707341346636382852600604488267195784852683859368436223000457606889972762081939154347500421747774302954725692182072652741274325201635206753172906515074700360472533018715688520393200011015362908994373787610580993371118148162029345592409915521633765316535681798089651382131402935247692632713027569657598082560132407561461104680932727133042239831702500521591064601876778281144568779281917488158328080838761092676645277764457942097646294260616725301094375740468429796124024368774451646987807223658257634736283945934826325526027107692470364570986358190665809607563869061295954961144647357482606539233570264701980363338271473837070312441729898972373780264915563083263542219087694774766465493112240788338065567147358998125685495547845749336889639730980754546772967362452400002864992457821028614406628060146132254824574922006946342853697967393277539284039175050203685330425505346422001635933012897504394739290403976019389609429961602034586714244402139231976840881548486989536142466769362821760538366512055866871664411046647906737238583721997677998551752066679218294008436907721436537128179985584595011730966089348368681209925173009849305416660864547488019243007487919633768488393420081229265532559967042541272172418863551194461262794705350966250856096388947654939144724180418564764034198683017308946744321851827460177048660156602712013588440006396658491823389054308803936829931468032648174797298411865075145924518459372413580586929707169343813776440646198389180188950409713336953350186372484283111401254553254877232273410337723869107417175230301118409754814913951021596155437725282644357334154052358152914486127968967622806143141492336165095718573563687194036443438887078623079148539505715562983804904730263897271802022616887117248651049894668309336969356468285323809830917428724447374823924016619066515734460289586839396271140915367239638340933254776724976397708152347066416206814370853150191759329028452336337288457633904054226546536450473446185298831444669527714614605218811112900519280975375714794603546454609139645124547589506275183562236014654776503271839745434146509381316762621621985795274279166681639764064910820577597967890470877924816636260911724343438568295712755599095374421743519104404782396809053618017007221288421401526344659985537092230457947957065205906694374208727287718623189708925120940069611375092723034966430254201328273938246252006726718027069847656033051694759717463678317109726865602181234676665261976824432471063422424976848883785101986662973871684647875926969834302268350632609211279184818162020727135968120477496937951881719486221547944485880119950017733336859828301638086752597757377170304675549400680613041148514187912063776660728268059879320557422026435129676033910377745645941236752326524370998946462525744686015134175135939440636226170874043883472579173438970716136374463722224830619516122602147450893945738297238541451061291905906215027528799661341684884580489994595279102316882489542598622528567152167977950256165899290233794420442528909920503697622425319751183310893055959051639878655442231079173576013353649129200635167005123126437842121279838188748492}
23684 238998432320835506757059485418620371403368150909893378237489231020831234028613: {165739,236770,284124,307723,520762,615394,899194,1041436,1325576,1441003,1491273,1609084,1775325,1893680,2130390,2272416,2428843,2485245,2504674,2556468,2650928,2787514,2958625,2982294,2991739,3446914,3550350,3729274,3787040,3917434,4199554,4260420,4443004,4544448,4614285,4763362,4921904,4952803,5008924,5112504,5466153,5537142,5751567,6507325,6704956,7106362,7315123,7808790,8116409,8134114,8329376,8695003,9370548,10067683,10462714,10614739,10652284,11296939,11594870,11762362,12339676,12520363,13243834,13913844,14024476,14142523,14536762,14546443,14628994,14815363,14914568,15243285,15486403,15888163,16259504,16286434,16564100,16658445,16778889,17769008,18121954,18291942,18298856,18780285,18814603,19876920,19990134,20001739,20032304,20042362,20348013,20586213,20658739,21202048,21852604,21967339,22228474,22361535,22536342,23319849,23398483,23590114,23663000,23727045,23852304,24046123,24223825,24224314,24634684,25207339,25308848,25845285,25978243,26175368,26300476,26620875,26833842,27002083,27568304,27639643,27743362,27761725,27766939,28395600,28472454,28551994,28855893,29068590,29071036,29162443,29373285,29447289,29538562,29628154,30075874,30288640,30433762,30800443,31006496,31014342,31331504,31945050,31970037,32386204,32575714,32937724,33020794,33314070,33488956,33526713,33909754,33916243,34023656,34074720,34882308,34885762,35192073,35247942,35535008,35561645,35691004,35764123,36240796,36346368,36498739,36639273,37096762,37230763,37339516,37363773,37537762,37625914,37779573,37838803,37890274,38202763,38276613,38323939,38334060,38532045,39065349,39939285,39976884,40732339,40889664,41100848,41895325,42044683,42601904,42673974,42798562,42846629,43584403,44453116,44584149,44626234,44860845,44973562,44994883,45543196,45927394,46000872,46238454,46511203,46706362,47052154,47281629,47322643,47470661,47524917,47851568,47927142,48001762,48087994,48245683,48263356,48346594,48372645,48934939,49049563,49074645,49395693,49782089,50066914,50274390,50533123,50538153,50802350,51597488,51750981,51778939,51866362,52059484,52186233,52346288,52454803,52720762,52955049,53147362,53278885,53351923,53626016,53833014,53999362,54324309,54403769,54509794,54762364,55132339,55189474,55292457,55302076,55910253,56037634,56125723,56345683,56827745,56919484,57399176,57813562,58047174,58235362,58255345,58420939,58889574,58890045,59071996,59600829,60146524,60295445,60329268,60683356,60962820,61209470,61218643,62292124,62347834,62509285,62765314,62816048,63041725,63089445,63349114,63934662,64177123,64574073,64597474,64907923,65027008,65234645,66026285,66035836,66090754,66256354,66462043,66559825,66668693,67000762,67295408,67319021,67496314,67715949,67795843,67815230,67999963,68168764,68193294,68305603,68441096,68568034,68732674,68979514,69257397,69472762,69587405,69906414,70567301,70668054,70827403,70828444,71030914,71117270,71322789,71326363,71439994,71823523,72021883,72354534,72516523,72910939,73155384,73428933,73451364,73479394,73500403,73794163,74010556,75011142,75068956,75446563,75589762,75597724,75650070,75707334,75928603,76136168,76611205,76883074,76996233,77268739,77488649,77649043,77719670,78215753,78217339,78281574,78333154,78764284,78783043,78796045,78815362,79216762,79231542,79376889,79552109,79697914,79871790,80018362,80104233,80540445,80614225,80693408,81112243,81217762,81378276,81480739,81848083,81935674,82100921,82299807,82488163,82761403,82928197,82970236,83034845,83200953,83305939,83504886,84002362,84542716,84748917,85196576,85340724,85430253,85546939,85589596,85653189,85909808,86136350,86635324,86688634,87167381,87442100,87742939,87829843,87844053,88137413,88201756,88321269,89244604,89434594,89892845,89903362,89981434,90021117,90780084,91137053,91150594,91933446,92703874,92830413,93013762,93192350,93263604,93324163,93710074,93734203,94555254,94791883,94933286,95240990,95677339,95846148,95995036,96071529,96170030,96474739,96554083,96648534,96737070,96878900,97222845,97414121,97631362,98320053,99132043,99641814,99818373,99918562,...,49683794028146188181886642583335071733405426046557110092326666426272045091137139678571088506387050326118126538664515746094708853702613847144198256934358729259113631441930788067024169933144621024850695456241225995457546665719073592305300429090209051672381684430507027474608844919887816017253926920520916565704953179516825213610025692161116093733306417942962689407068299616345521056677972948552271557451485149948286164970700766311043735534125316763987516559949483968057306676957640653168298244066197178308619347052551425548023714214202092007895957613712552972505217473211704003873392608229902469386175335592493616613030942800053114949791534252448120014302685753185768597339696620208345825561012019954574278900906732400793677279025789052654334500686410334959143122908731521250632621661454432088538273108979111911487802452810129759359772612050540708799528073532780589800016523044363491560681415871490056677222243044018388614873282450647974803522697134477073197104402871538949069541354486397123840198611342191657021399090699563359747553750782386596902815167421716853168922876232237492121258141639014967916646686913146469441390925087951641563610702644694186036553161677470481710835487386452104425918902239488289040661538705546856479537285998714411345803591943932441716971036223909808850355397052970545007407210755605468662594848458560670397373344624895313328631542162149698239668361182507098350721038497188528243321768624005334459596471131820159451043678600004297488686731542921609942090219198382236862383010419514280546951089916308926058762575305527995638258019633002453899519346256592108935605964029084414144942403051880071366603208847965261322322730484304213700154044232640807549768083800307496616569971860105857875582996516997827628100018827441012655361582154805692269978376892517596449134022553021814887759514773958124991296821232028864511231879450652732590130121843898298839950563811908258628295326791691894192058026449376284144583421482408717086270627847146051298024525963420116482777741190265572990234904068020382660009594987737735083581463205905244897202048972262195947617797612718886777689058620370880394560754015720664660969297583770283425614570005430025279558726424667101881829882315848410115506585803661125762845451677614632222370926532394233156587923966536001231078537229371729191953451434209214712238504247643577860345530791054665158330617934618722809258573344475707357095395845907703033925330675872976574842002464005454034702427985714746376143086671062235886024928599773601690434380259094406711373050859457511399882165087464596562228520599624310221556279725287638993542678504505932686450856081339819804675710169277948247167004291571921907828216669350778921463063572191905319681913709467686821384259412775343354021982164754907759618151219764071975143932432978692911418750022459646097366230866396951835706316887224954391367586515157852443569133398643061632615278656607173595213580427025510831932632102289516989978305638345686921935597808860041561313090931577934784563387681410104417062639084552449645381301992410907369378010090077040604771484049577542139576195517475664590298403271852014997892965236648706595133637465273325677652979994460807526971813890454751453402525948913816918777227243031090703952180716245406927822579229332321916728820179925026600005289742452457130128896636065755457013324101020919561722771281868095664991092402089818980836133039652694514050865566618468911855128489786556498419693788617029022701262703909160954339256311065825208868760158456074204561695583337245929274183903221176340918607445857812176591937858859322541293199492012527326870734991892918653475323734313897933792850728251966925384248848935350691630663793364880755546433637979626774966339583938577459817983163346618760364020030473693800952750507684689656763181919757283122738}
23685 239843300060335729144515589906436803555874108667142903554441622369402554805446: {355155,378832,426186,781143,923091,1159879,1301795,1348791,1562154,1656970,1988364,2011355,2319562,2367100,2413626,2840520,2863223,3029888,3195585,3313660,3408624,3757011,3834702,3976392,4181271,4306666,4473441,4733800,5170371,5325525,5553755,5593911,5680560,5876151,6059264,6152380,6261155,6299331,6390630,6664506,6816672,7145043,7288204,7382856,7513386,7668756,8305713,8381195,10057434,10411720,10658483,10659543,11713185,12201171,12215159,12494064,13050247,13208611,13315355,14055822,14227066,15424595,15547882,15694071,15763211,15978426,16011499,16468019,16611187,17392305,17528266,17530595,17643543,18433943,18509514,18551792,18643210,19299991,19865751,19870307,20324380,20705125,20870766,21036714,21805143,21943491,22145242,22211260,22353034,22371852,22395451,22701703,22734946,22873570,22903447,23679827,24122266,24230011,24389256,24429651,24846150,25040380,25188514,26414986,26502560,26653512,27130684,27182931,27315755,27415066,27437913,27448284,27738359,27839674,28779371,28867306,29286323,29578750,29725282,29770699,29815380,29985201,30041527,30048456,30063543,30793355,31093132,31636060,31803072,32029271,32179067,32719210,32723491,32778906,32875595,33219562,33342711,33388771,33694954,33804513,34460380,34536826,35385171,35470259,35494500,35778456,35963242,36277811,36336471,36338795,36804634,36952026,37276666,37443874,37860800,37899994,37963272,38474524,38758120,39164380,39263052,39450714,39676643,40206346,40250763,40464539,40482755,41004634,41116426,41172155,41352456,41615043,41861195,41870122,42474154,42529570,42593400,42626716,42708681,42827991,42857459,43563754,43602885,43606554,43634551,44307843,44418760,44442231,44613755,44614363,44702284,45113811,45147802,45300995,45432960,45650643,45803002,46112791,46509744,46521513,46674395,46922764,46997256,47917575,48461824,48579306,48786547,48852364,48863571,49406586,49531191,49815571,49818364,49971105,50224279,50233434,50372764,50864631,51035484,51112080,51376060,52087132,52323462,52328643,52416899,52871913,53252380,53302512,53363803,53536506,53758522,54361194,54519552,54566434,54711754,54732203,54803699,54964042,55566395,55645143,56009274,56306643,56438871,56504074,56799607,56835411,56898632,56928995,57501090,58457299,58547159,58557826,58883482,59445532,59814460,59885959,59965326,60329195,60724651,60826427,61203851,61334496,61651272,61852963,62941594,63042172,63112426,63366556,63653914,63902856,64010961,64197843,64496860,64641442,65074355,65432860,65552266,65860924,66199859,66218794,66619147,66679674,66771874,66939351,67032520,67384204,67460343,68314794,68452955,68891091,69001308,69127595,69210466,69357681,69581644,70059543,70127347,70578231,70606732,70835899,70898903,71149355,71748970,71777352,71890713,72002643,72131991,72395034,72432412,72519891,72713626,73072547,73409323,73723276,73839995,74374474,74547004,75100371,75104746,75171082,75183155,75411585,75854195,76203525,77396232,77546314,77799543,77865155,78089226,78519432,78520060,78643079,79081143,79467772,79721043,80043511,80173834,80178083,80439024,80749521,80999043,81283760,81445859,81764691,82036727,82077322,82143546,82517626,82544795,82784211,82953114,83210074,83472034,84056451,84119260,84303274,85041034,85210955,85246216,85379226,85551370,85693354,86075491,86098764,86303194,86720343,86867962,87070761,87302242,87353043,87677923,88334361,88535555,88568599,88607994,88660043,89039159,90219786,90287932,90434794,90493902,90555443,90741322,90924392,91025034,91444230,91814205,92217754,92343196,92513195,92531746,93208552,93438186,93521751,93836195,94147971,94224072,94497155,94932787,95023671,95097052,95170210,95362906,95782762,95901993,96277459,96472712,96896211,97540512,97905244,97935152,98028679,98124983,98455355,98505467,99053754,99136131,99384531,99841954,99914647,99920339,...,74525691042219282272829963875002607600108139069835665138489999639408067636705709517856632759580575489177189807996773619142063280553920770716297385401538093888670447162896182100536254899716931537276043184361838993186319998578610388457950643635313577508572526645760541211913267379831724025880890380781374848557429769275237820415038538241674140599959626914444034110602449424518281585016959422828407336177227724922429247456051149466565603301187975145981274839924225952085960015436460979752447366099295767462929020578827138322035571321303138011843936420568829458757826209817556005810088912344853704079263003388740424919546414200079672424687301378672180021454028629778652896009544930312518738341518029931861418351360098601190515918538683578981501751029615502438714684363097281875948932492181648132807409663468667867231703679215194639039658918075811063199292110299170884700024784566545237341022123807235085015833364566027582922309923675971962205284045701715609795656604307308423604312031729595685760297917013287485532098636049345039621330626173579895354222751132575279753384314348356238181887212458522451874970030369719704162086387631927462345416053967041279054829742516205722566253231079678156638878353359232433560992308058320284719305928998071617018705387915898662575456554335864713275533095579455817511110816133408202993892272687841005596060016937342969992947313243224547359502541773760647526081557745782792364982652936008001689394706697730239176565517900006446233030097314382414913135328797573355293574515629271420820426634874463389088143862958291993457387029449503680849279019384888163403408946043626621217413604577820107049904813271947891983484095726456320550231066348961211324652125700461244924854957790158786813374494775496741442150028241161518983042373232208538404967565338776394673701033829532722331639272160937187486945231848043296766847819175979098885195182765847448259925845717862387942442990187537841288087039674064426216875132223613075629405941770719076947036788945130174724166611785398359485352356102030573990014392481606602625372194808857867345803073458393293921426696419078330166533587930556320591841131023580996991453946375655425138421855008145037919338089637000652822744823473772615173259878705491688644268177516421948333556389798591349734881885949804001846617805844057593787930177151313822068357756371465366790518296186581997737495926901928084213887860016713561035643093768861554550887996013809464862263003696008181052053641978572119564214630006593353829037392899660402535651570388641610067059576289186267099823247631196894843342780899436465332334419587931458490314017756758899029676284122009729707013565253916922370750506437357882861742325004026168382194595358287857979522870564201530232076389119163015031032973247132361639427226829646107962715898649468039367128125033689469146049346299595427753559475330837431587051379772736778665353700097964592448922917984910760392820370640538266247898948153434275484967458457518530382903396713290062341969636397366902176845081522115156625593958626828674468071952988616361054067015135115560907157226074366313209364293276213496885447604907778022496839447854973059892700456197909988516479469991691211290457720835682127180103788923370725378165840864546636055928271074368110391733868843998482875093230269887539900007934613678685695193344954098633185519986151531379342584156922802143497486638603134728471254199559479041771076298349927703367782692734679834747629540682925543534051894055863741431508884466598737813303140237684111306842543375005868893911275854831764511377911168786718264887906788288983811939799238018790990306102487839377980212985601470846900689276092377950388076373273403026037445995690047321133319650456969440162449509375907866189726974745019928140546030045710540701429125761527034485144772879635924684107}
23686 240691135016706461351540557401219848599017079372638439894856921982296794007011: {331478,402373,473540,544249,568248,615446,639279,1041524,1230788,1252549,1393993,1798388,1959049,2082872,2343231,2485455,2651152,2882006,2958875,2982546,3218168,3226213,3479343,3507013,3550650,3620439,3787360,4142075,4260780,4544832,4857686,4970490,5009348,5112936,5301856,5325193,5575028,5603833,5752053,5917250,5964588,5983478,6299173,6459999,6893828,7100700,7407973,7458548,7574080,7690475,7834868,8098633,8236549,8374393,8399108,8520840,8886008,9062533,9088896,9110255,9228570,9526724,9585945,9843808,9905606,9996759,10017848,10225008,10932306,11074284,11270079,11503134,13014650,13153573,13409912,13559113,13829113,14212724,14630246,14906233,15086151,15174793,15617580,15711049,16232818,16268228,16658752,17046649,17390006,18507493,18741096,18904393,20135366,20925428,21083733,21229478,21304568,21340599,21533833,22186693,22593878,23189740,23321823,23524724,23746213,23967639,24679352,25040726,25405475,26292399,26487668,27344773,27764075,27764271,27827688,27964815,28048952,28285046,28616293,28869733,29073524,29092886,29257988,29502073,29630726,29829136,30486570,30972806,31300475,31306149,31388293,31555071,31763593,31776326,32013433,32519008,32572868,33128200,33134149,33217863,33316890,33529551,33557778,33913355,34102419,34310355,34372549,35480953,35538016,35603749,35726473,36183399,36243908,36583884,36597712,37269225,37558693,37560570,37629206,37782771,38866415,39545075,39622479,39753840,39856249,39980268,40003478,40064608,40084724,40336633,40696026,41122599,41172426,41317478,41651749,41759511,42365413,42404096,42839749,43075475,43300959,43431049,43705208,43934678,44138233,44368125,44456948,44587923,44723070,44725573,45072684,45077113,45311113,45894853,46639698,46796966,47180228,47326000,47454090,47704608,48092246,48093155,48447650,48448628,48556873,48955475,49078815,49168359,49269368,49359493,49786303,49829343,49930633,50414678,50542431,50617696,51407173,51690570,51805239,51956486,52197193,52350736,52600952,53241750,53283395,53667684,53766649,53944863,54004166,54434953,55136608,55206951,55279286,55428039,55486724,55523450,55533878,55877855,55914999,55984249,56165811,56791200,56849991,56944908,57103988,57711786,58137180,58142072,58281733,58324886,58653455,58746570,58894578,59077124,59148613,59176071,59256308,59903353,60151748,60225733,60309519,60577280,60761593,60867524,60975433,61065455,61506951,61508773,61600886,61674639,62012992,62028684,62272955,62464249,62663008,62805183,62965955,63711231,63794355,63890100,63940074,64220075,64462213,64772408,65108915,65151428,65345631,65409831,65607049,65710693,65875448,66041588,66565475,66628140,66977912,67053426,67721703,67768453,67819508,67832486,68047312,68149440,68278393,68704503,68786533,69764616,69771524,70099273,70384146,70495884,71070016,71123290,71300233,71382008,71528246,71598853,72481592,72688249,72692736,72868959,72997478,73278546,74109879,74193524,74306915,74461526,74590439,74679032,74727546,74768075,75034873,75075524,75251828,75350151,75518533,75559146,75677606,75780548,76096549,76405526,76553226,76647878,76668120,77064090,77530249,77909833,78130698,78485193,78571333,78802715,79208195,79558843,79878570,79953768,80304759,80621075,80637783,80719993,80812549,81464678,81541791,81557483,81779328,81791075,81849651,82067631,82100773,82201696,82283653,82326155,82446063,82648549,82739593,83103049,83790650,84013911,84089366,84230255,84413623,84756111,84813733,85203808,85347948,85597124,85693258,86251635,86674249,86977055,87025033,87168806,87512999,87836739,88258415,88325223,88503013,88647383,88847749,88906232,89168298,89252468,89721690,89947124,89947989,89989766,90469513,90540515,90891973,91086392,91328503,91854788,91898533,92001744,92154095,92436799,92476908,92563813,92646649,92977273,93022406,93059749,93183755,93412724,94104308,94412391,94563258,94645286,94668639,94775113,94941322,95049834,95420233,95480871,95703136,95854284,96003524,96175988,96491366,96526712,96693188,96745290,96962163,97091749,97422367,97869878,97876549,98006051,98099126,98149290,98150075,98328399,98731513,98791386,98963173,99328191,99334715,99564178,...,99367588056292376363773285166670143466810852093114220184653332852544090182274279357142177012774100652236253077329031492189417707405227694288396513868717458518227262883861576134048339866289242049701390912482451990915093331438147184610600858180418103344763368861014054949217689839775632034507853841041833131409906359033650427220051384322232187466612835885925378814136599232691042113355945897104543114902970299896572329941401532622087471068250633527975033119898967936114613353915281306336596488132394356617238694105102851096047428428404184015791915227425105945010434946423408007746785216459804938772350671184987233226061885600106229899583068504896240028605371506371537194679393240416691651122024039909148557801813464801587354558051578105308669001372820669918286245817463042501265243322908864177076546217958223822975604905620259518719545224101081417599056147065561179600033046088726983121362831742980113354444486088036777229746564901295949607045394268954146394208805743077898139082708972794247680397222684383314042798181399126719495107501564773193805630334843433706337845752464474984242516283278029935833293373826292938882781850175903283127221405289388372073106323354940963421670974772904208851837804478976578081323077411093712959074571997428822691607183887864883433942072447819617700710794105941090014814421511210937325189696917121340794746689249790626657263084324299396479336722365014196701442076994377056486643537248010668919192942263640318902087357200008594977373463085843219884180438396764473724766020839028561093902179832617852117525150611055991276516039266004907799038692513184217871211928058168828289884806103760142733206417695930522644645460968608427400308088465281615099536167600614993233139943720211715751165993033995655256200037654882025310723164309611384539956753785035192898268045106043629775519029547916249982593642464057729022463758901305465180260243687796597679901127623816517256590653583383788384116052898752568289166842964817434172541255694292102596049051926840232965555482380531145980469808136040765320019189975475470167162926411810489794404097944524391895235595225437773555378117240741760789121508031441329321938595167540566851229140010860050559117452849334203763659764631696820231013171607322251525690903355229264444741853064788466313175847933072002462157074458743458383906902868418429424477008495287155720691061582109330316661235869237445618517146688951414714190791691815406067850661351745953149684004928010908069404855971429492752286173342124471772049857199547203380868760518188813422746101718915022799764330174929193124457041199248620443112559450575277987085357009011865372901712162679639609351420338555896494334008583143843815656433338701557842926127144383810639363827418935373642768518825550686708043964329509815519236302439528143950287864865957385822837500044919292194732461732793903671412633774449908782735173030315704887138266797286123265230557313214347190427160854051021663865264204579033979956611276691373843871195617720083122626181863155869569126775362820208834125278169104899290762603984821814738756020180154081209542968099155084279152391034951329180596806543704029995785930473297413190267274930546651355305959988921615053943627780909502906805051897827633837554454486062181407904361432490813855645158458664643833457640359850053200010579484904914260257793272131510914026648202041839123445542563736191329982184804179637961672266079305389028101731133236937823710256979573112996839387577234058045402525407818321908678512622131650417737520316912148409123391166674491858548367806442352681837214891715624353183875717718645082586398984025054653741469983785837306950647468627795867585701456503933850768497697870701383261327586729761511092867275959253549932679167877154919635966326693237520728040060947387601905501015369379313526363839514566245476}
23687 241541947543137673853235544498783721616873556444961019236366457617045128199888: {23687,497217,591925,710310,757664,852372,923169,1301905,1538485,1562286,1822513,1846182,2247985,2319758,2603590,2697582,2815897,3124308,3313940,3383809,3976728,4022710,4323009,4473819,4639124,4734200,4827252,5325975,5681040,5726446,6059776,6261685,6391170,6627320,6817248,6968785,7286529,7455735,7514022,7669404,7775257,7952784,8362542,8613332,8617285,8765617,8875875,8946882,8975217,9323185,9467600,9793585,10340742,10498885,10651050,11107510,11178409,11187822,11361120,11733673,11752302,11908405,12118528,12216193,12304760,12522310,12596389,12598662,12781260,13329012,13633344,13772209,13842855,14290086,14436097,14576408,14765712,14858409,14865157,15026772,15337512,16398459,16469413,16611426,16762390,16850329,17254701,17271337,17399833,17765905,18405433,18641497,18874777,18953209,19521975,19871989,20106577,20114868,20335285,20823440,21240673,21316966,21319086,21540409,21594433,21785569,21945369,22276489,23426370,24349227,24402342,24430318,24482533,24542833,24988128,26085009,26100494,26156785,26417222,26465689,26630710,26883817,28111644,28256833,28454132,28483993,28987175,29288809,29405905,30203049,30849190,31095764,31388142,31526422,31844217,31956852,32022998,32781697,32897953,32936038,33109585,33115009,33222374,33890817,34398313,34611109,34784610,35056532,35061190,35287086,35473273,35678053,35814853,35988073,36341905,36572485,36867886,37019028,37103584,37286420,37561089,38242057,38527369,38599982,38779729,39731502,39740614,40377889,40648760,40716085,41045617,41265817,41410250,41612089,41741532,41919397,42073428,42427569,42861097,43110697,43186033,43610286,43639329,43658533,43886982,44290484,44422520,44446089,44706068,44743704,44790902,45016129,45225073,45252997,45304885,45403406,45469892,45475273,45729855,45747140,45806894,46025833,46265593,46459209,47359654,47664489,47899513,48244532,48460022,48778512,48859302,49692300,49975335,50080760,50105905,50336667,50377028,50874313,51267589,52116937,52421353,52577977,52829972,53005120,53307024,54261368,54365862,54631510,54736849,54830132,54875826,54896568,55476718,55571185,55603753,55679348,55816009,56340855,56443809,56675857,57558742,57641017,57734612,57973777,58572646,58583593,58605673,58975285,59062993,59157500,59450564,59541398,59630760,59970402,60005217,60083054,60096912,60127086,60560785,61044039,61251193,61586710,61758639,61976217,62186264,62459257,63272120,63421393,63606144,64058542,64358134,65021353,65344153,65390113,65438420,65446982,65557812,65751190,65902017,66239029,66277093,66439124,66685422,66777542,67084605,67389908,67609026,68751577,68920760,68998453,69073652,69104677,69192097,69358405,69959547,70195449,70770342,70940518,70989000,71181135,71296753,71379985,71556912,71926484,72138369,72374257,72555622,72671475,72672942,72677590,73609268,73846405,73904052,74070385,74438389,74553332,74887748,75189685,75622017,75721600,75799988,75926544,76084405,76333513,76949048,77516240,77535855,77586373,77792953,77934729,78112033,78236197,78328760,78526104,78611077,78901428,78917113,79353286,79700593,79862625,80184889,80412692,80501526,80858377,80929078,80965510,81006249,81439285,82009268,82232852,82344310,82551985,82704912,82918929,83230086,83285175,83300817,83686417,83722390,83740244,84089209,84147433,84460873,84774385,84817633,84948308,85059140,85186800,85253432,85417362,85655982,85714918,85959493,86517673,86567679,86664673,87127508,87205770,87213108,87214405,87269102,87481993,87487329,88002613,88119855,88341867,88615686,88667569,88837520,88884462,88887577,89227510,89228726,89404568,89552353,90227622,90251977,90295604,90601990,90865920,91104097,91157509,91301286,91606004,91895857,92225582,92401329,92741905,93019488,93043026,93136633,93348790,93654373,93844405,93845528,93994512,94064785,94725685,95200153,95834137,95835150,95910111,96254197,96778633,96923648,97125193,97158612,97573094,97704728,97727142,98133409,98408197,98680273,98813172,99062382,99609097,99631142,99636728,99942210,...,149051382084438564545659927750005215200216278139671330276979999278816135273411419035713265519161150978354379615993547238284126561107841541432594770803076187777340894325792364201072509799433863074552086368723677986372639997157220776915901287270627155017145053291521082423826534759663448051761780761562749697114859538550475640830077076483348281199919253828888068221204898849036563170033918845656814672354455449844858494912102298933131206602375950291962549679848451904171920030872921959504894732198591534925858041157654276644071142642606276023687872841137658917515652419635112011620177824689707408158526006777480849839092828400159344849374602757344360042908057259557305792019089860625037476683036059863722836702720197202381031837077367157963003502059231004877429368726194563751897864984363296265614819326937335734463407358430389278079317836151622126398584220598341769400049569133090474682044247614470170031666729132055165844619847351943924410568091403431219591313208614616847208624063459191371520595834026574971064197272098690079242661252347159790708445502265150559506768628696712476363774424917044903749940060739439408324172775263854924690832107934082558109659485032411445132506462159356313277756706718464867121984616116640569438611857996143234037410775831797325150913108671729426551066191158911635022221632266816405987784545375682011192120033874685939985894626486449094719005083547521295052163115491565584729965305872016003378789413395460478353131035800012892466060194628764829826270657595146710587149031258542841640853269748926778176287725916583986914774058899007361698558038769776326806817892087253242434827209155640214099809626543895783966968191452912641100462132697922422649304251400922489849709915580317573626748989550993482884300056482323037966084746464417076809935130677552789347402067659065444663278544321874374973890463696086593533695638351958197770390365531694896519851691435724775884885980375075682576174079348128852433750264447226151258811883541438153894073577890260349448333223570796718970704712204061147980028784963213205250744389617715734691606146916786587842853392838156660333067175861112641183682262047161993982907892751310850276843710016290075838676179274001305645489646947545230346519757410983377288536355032843896667112779597182699469763771899608003693235611688115187575860354302627644136715512742930733581036592373163995474991853803856168427775720033427122071286187537723109101775992027618929724526007392016362104107283957144239128429260013186707658074785799320805071303140777283220134119152578372534199646495262393789686685561798872930664668839175862916980628035513517798059352568244019459414027130507833844741501012874715765723484650008052336764389190716575715959045741128403060464152778238326030062065946494264723278854453659292215925431797298936078734256250067378938292098692599190855507118950661674863174102759545473557330707400195929184897845835969821520785640741281076532495797896306868550969934916915037060765806793426580124683939272794733804353690163044230313251187917253657348936143905977232722108134030270231121814314452148732626418728586552426993770895209815556044993678895709946119785400912395819977032958939983382422580915441671364254360207577846741450756331681729093272111856542148736220783467737687996965750186460539775079800015869227357371390386689908197266371039972303062758685168313845604286994973277206269456942508399118958083542152596699855406735565385469359669495259081365851087068103788111727482863017768933197475626606280475368222613685086750011737787822551709663529022755822337573436529775813576577967623879598476037581980612204975678755960425971202941693801378552184755900776152746546806052074891991380094642266639300913938880324899018751815732379453949490039856281092060091421081402858251523054068970289545759271849368214}
23688 242395748028708303519393759612482248949014241507522720769985639965058759040674: {260447,402407,449711,662956,804746,947080,1065465,1088498,1136496,1230892,1278558,1394111,1441247,1865111,2083048,2100311,2343429,2461576,2505098,2523167,2769273,2787986,2992247,3085967,3273311,3479637,3507311,3554087,3596776,3694367,3905385,3918098,4046373,4142425,4165744,4208111,4487927,4686462,4970910,5302304,5372111,5650727,5764012,5798905,5917750,5965092,6021767,6034065,6346007,6436336,6452426,6958686,7014026,7101300,7240878,7408607,7574720,7731167,8145311,8284150,8521560,8558807,8589669,9089664,9246527,9521111,9586755,9715372,9749711,9940980,10018696,10225872,10603712,10650386,10707647,10766665,11117111,11150056,11207666,11271033,11298887,11389727,11504106,11571311,11834500,11929176,11966956,12070007,12543813,12598346,12754357,12883967,12919998,13199807,13420323,13787656,13875287,14010167,14201400,14234807,14548967,14815946,14907527,14917096,15148160,15176111,15220847,15380950,15511113,15578447,15669736,15976575,16197266,16473098,16661265,16692647,16748786,16781733,16798216,17041680,17225687,17628453,17772016,18023087,18125066,18177792,18220510,18457140,18553247,18783465,18897993,18906047,18950111,19053448,19171890,19687616,19811212,19993518,20005247,20035696,20092967,20450016,20749847,20924711,21317687,21435129,21535727,21864612,21971207,22058207,22148568,22492727,22540158,22622927,22883111,23006268,23099711,23748311,23791487,24179711,24917139,25143585,25211807,26029300,26307146,26708687,26819824,27118226,27658226,28425448,28661111,28914527,29041127,29251967,29260492,29504711,29546807,29812466,30172302,30349586,30805967,31235160,31391111,31422098,31808111,31975449,31978629,32432111,32465636,32536456,33261311,33317504,33922367,34093298,34499111,34780012,34910111,35139555,35279327,35525111,35567665,35770607,36097487,36505367,36603513,36645477,37014986,37318727,37482192,37808786,38573111,38869705,38935847,39150741,39625833,39946065,40270732,40340327,40739807,40819607,41178311,41417087,41850856,42012767,42167466,42369311,42408887,42458956,42609136,42681198,43067666,43119887,43820665,43906847,44142311,44373386,45081287,45120311,45187756,45315311,45549047,45899111,45937967,46273785,46379480,46608025,46643646,47049448,47082213,47289633,47408567,47478697,47492426,47678207,47935278,48034497,48599711,48829367,48944087,49135127,49358704,49364111,49402247,49404057,49833561,49973327,50081452,50087327,50542607,50810950,51298847,51863927,52176915,52352207,52539647,52584798,52591785,52930629,52975336,53548367,53697311,53883311,54412981,54689546,55216607,55301829,55363105,55528150,55528542,55655376,55879367,55882585,55929630,56097904,56136407,56246447,56429687,56570092,56795567,56837365,57183925,57197111,57232586,57415727,57561311,57739466,57888407,57899973,58147048,58185772,58287311,58323527,58504487,58515976,59004146,59261452,59597253,59610921,59658272,59909111,60305665,60589007,60973140,60981311,61301567,61514711,61550207,61945612,62115375,62600950,62612298,62776586,62928311,62971285,63110142,63139247,63527186,63552652,63630311,64026866,64468487,64990007,65038016,65145736,65232767,65415429,65717111,65830473,66037465,66256400,66268298,66435726,66543767,66633780,67059102,67115556,67186353,67263311,67330417,67604711,67775111,67809167,67826710,68081327,68105109,68204838,68319047,68537665,68620710,68710341,68745098,68827127,69599185,69938567,70139711,70841447,70961906,71039481,71076032,71107847,71207498,71307311,71340527,71452946,71639111,71837807,72003167,72168265,72366798,72487816,72596807,72690033,72925487,73167768,73195424,73286111,73288953,73580447,73808927,73906727,73946875,74102111,74313205,74394647,74538450,74589311,74596753,74945447,75074711,75117386,75121140,75258412,75526127,75565542,75911807,76328327,77347847,77633111,77732830,78228997,78579311,78767687,78861767,79090150,79174847,79244958,79507680,79712498,79960536,79985111,80006956,80129216,80169448,80171327,80481047,80673266,80759111,81190367,81392052,81548793,81798025,81947265,82017647,82109207,82114837,82139711,82245198,82313739,82322567,82344852,82474727,82634956,82748111,82778447,82930007,83048905,83215077,83303498,83323127,83519022,84237385,84730826,84808192,85179407,85491637,85623887,85679498,85712567,86066567,86150950,86338113,86342065,86448767,86601918,86862098,87034127,87063311,87182137,87325607,87410416,87858969,87869356,88152337,88276466,88339487,88541087,88627367,88736250,88913896,88943111,89175846,89312097,89446140,89451146,89657111,89908105,89955603,90124581,90145368,90154226,90190629,90507311,90622226,91152481,91789706,92011585,92380065,92490767,92849567,93014711,93191665,93261887,93279396,93563111,93593932,93609685,94135487,94360456,94652000,94749985,94812287,94908180,95409216,95430527,95698007,95751407,96087813,96184492,96186310,96495647,96537201,96548567,96627887,96895300,96897256,96944447,97113746,97574111,97910950,98069327,98157630,98170473,98336718,98509967,98538736,98587487,98626785,98718986,98742311,98999711,99153767,99230687,99572606,99658686,99665207,99741647,99861266,...,223577073126657846818489891625007822800324417209506995415469998918224202910117128553569898278741726467531569423990320857426189841661762312148892156204614281666011341488688546301608764699150794611828129553085516979558959995735831165373851930905940732525717579937281623635739802139495172077642671142344124545672289307825713461245115614725022421799878880743332102331807348273554844755050878268485222008531683174767287742368153448399696809903563925437943824519772677856257880046309382939257342098297887302388787061736481414966106713963909414035531809261706488376273478629452668017430266737034561112237789010166221274758639242600239017274061904136016540064362085889335958688028634790937556215024554089795584255054080295803571547755616050736944505253088846507316144053089291845627846797476544944398422228990406003601695111037645583917118976754227433189597876330897512654100074353699635712023066371421705255047500093698082748766929771027915886615852137105146829386969812921925270812936095188787057280893751039862456596295908148035118863991878520739686062668253397725839260152943045068714545661637375567355624910091109159112486259162895782387036248161901123837164489227548617167698759693239034469916635060077697300682976924174960854157917786994214851056116163747695987726369663007594139826599286738367452533332448400224608981676818063523016788180050812028909978841939729673642078507625321281942578244673237348377094947958808024005068184120093190717529696553700019338699090291943147244739405986392720065880723546887814262461279904623390167264431588874875980372161088348511042547837058154664490210226838130879863652240813733460321149714439815843675950452287179368961650693199046883633973956377101383734774564873370476360440123484326490224326450084723484556949127119696625615214902696016329184021103101488598166994917816482811562460835695544129890300543457527937296655585548297542344779777537153587163827328970562613523864261119022193278650625396670839226888217825312157230841110366835390524172499835356195078456057068306091721970043177444819807876116584426573602037409220375179881764280089257234990499600763791668961775523393070742990974361839126966275415265565024435113758014268911001958468234470421317845519779636116475065932804532549265845000669169395774049204645657849412005539853417532172781363790531453941466205073269114396100371554888559745993212487780705784252641663580050140683106929281306584663652663988041428394586789011088024543156160925935716358692643890019780061487112178698981207606954711165924830201178728867558801299469742893590684530028342698309395997003258763794375470942053270276697089028852366029189121040695761750767112251519312073648585226975012078505146583786074863573938568611692604590696229167357489045093098919741397084918281680488938323888147695948404118101384375101068407438148038898786283260678425992512294761154139318210335996061100293893777346768753954732281178461111921614798743696844460302826454902375372555591148710190139870187025908909192100706530535244566345469876781875880486023404215858965849083162201045405346682721471678223098939628092879828640490656342814723334067490518343564919179678101368593729965549438409975073633871373162507046381540311366770112176134497522593639908167784813223104331175201606531995448625279690809662619700023803841036057085580034862295899556559958454594138027752470768406430492459915809404185413762598678437125313228895049783110103348078204039504242888622048776630602155682167591224294526653399796213439909420713052333920527630125017606681733827564495293534133733506360154794663720364866951435819397714056372970918307463518133940638956804412540702067828277133851164229119820209078112337987070141963399958951370908320487348528127723598569180924235059784421638090137131622104287377284581103455434318638907774052321}
23689 243252546898509850417345151254462551899994666754016423116821187236612883766991: {23689,47374,828695,994434,1183850,1207119,1420620,1515328,1538615,1632747,1704744,1822667,1846338,1917837,2153879,2603810,3076970,3124572,3147179,3645026,3692364,3757647,3999047,4181979,4495970,4639516,5207180,5395164,5631794,5877147,6248616,6627880,6767618,7029693,7205015,7456365,7953456,8045420,8646018,8766359,8876625,8947638,9278248,9468400,9654504,9678639,9756299,10438029,10521039,10651950,10861317,11362080,11452892,12064199,12119552,12144215,12426225,12523370,12782340,13052459,13210847,13254640,13634496,13711019,13937570,14437319,14573058,14698439,14793125,14911470,14958695,15028044,15338808,15550514,15905568,15975579,16276247,16613999,16671767,16725084,16811499,17226664,17234570,17256159,17272799,17531234,17751750,17893764,17950434,18406991,18646370,18897519,18935200,19303259,19379997,19587170,20108279,20507531,20563439,20681484,20997770,21095339,21242471,21302100,22215020,22223919,22356818,22375644,22399247,22705547,22722240,23071425,23363147,23467346,23504604,23816810,24237056,24295899,24432386,24609520,24709647,24764015,24872267,25044620,25123179,25160927,25192778,25197324,25347479,25456847,25562520,26658024,27187599,27266688,27330765,27362831,27544418,27685710,28469399,28580172,28757835,28872194,29152816,29286359,29531424,29716818,29730314,29990277,30046619,30053544,30675024,31685399,31835051,32536625,32796918,32938826,33222852,33394439,33524780,33700658,33810237,34509402,34542674,34614047,34799666,35531810,35991131,36366059,36575615,36619499,36810866,37282994,37561919,37749554,37906418,38879399,39043950,39460719,39612647,39743978,39875471,40213154,40229736,40582045,40670570,40677339,41168267,41487339,41646880,41746631,41922959,42481346,42531359,42633932,42638172,43080818,43162571,43188866,43475015,43571138,43641947,43662239,43890738,44552978,44718699,45258453,45524379,45841199,46120619,46277639,46353419,46782527,46852740,47133147,47693579,47903579,48698454,48794831,48804684,48860636,48965066,49085666,49976256,50338415,50576879,50878667,51038039,51139947,51201479,51503519,52170018,52200988,52313570,52834444,52931378,53073695,53261420,53767634,53768447,54024071,54677519,55522479,55820747,56223288,56484695,56513666,56713179,56908264,56967986,57002519,57974350,58577618,58588571,58811810,59057399,60406098,61698380,61947287,62145371,62191528,62601815,62776284,63052844,63251199,63426839,63688434,63913704,64021797,64045996,64601499,64777007,65143439,65563394,65795906,65872076,66219170,66230018,66282719,66444748,66560079,67606727,67781634,68757419,68796626,69222218,69569220,69801719,69965469,70113064,70122380,70148267,70364759,70574172,70712615,70847927,70946546,71238639,71356106,71629706,71902917,71976146,72683810,72732215,73144970,73735772,73756967,74038056,74076815,74207168,74572840,75122178,76216425,76484114,77054738,77199964,77234639,77432015,77559458,77592959,77799659,78877197,78923867,79409159,79440815,79463004,79481228,79572071,80057099,80755778,81297520,81432170,82034319,82091234,82531634,82565399,82820500,83224178,83292225,83292813,83483064,83838794,83894445,84096347,84146856,84259799,84785099,84855138,84890999,85722194,85848879,86221394,86372066,86609199,87220572,87278658,87317066,87489419,87692807,87773964,87859439,88506219,88580968,88845040,88892178,89412136,89487408,89581804,89745239,90032258,90152639,90450146,90505994,90609770,90806812,90939784,90950546,91165247,91459710,91494280,91613788,92051666,92531186,92641547,92918418,93144539,93265679,93901425,93918447,94047131,94073015,94106507,94164879,94665213,94719308,95290779,95328978,95799026,95996807,96040299,96293807,96489064,96920044,97101767,97557024,97718604,98222879,98416559,98633159,99344939,99384600,99402447,99653589,99931979,99950670,...,298102764168877129091319855500010430400432556279342660553959998557632270546822838071426531038322301956708759231987094476568253122215683082865189541606152375554681788651584728402145019598867726149104172737447355972745279994314441553831802574541254310034290106583042164847653069519326896103523561523125499394229719077100951281660154152966696562399838507657776136442409797698073126340067837691313629344708910899689716989824204597866262413204751900583925099359696903808343840061745843919009789464397183069851716082315308553288142285285212552047375745682275317835031304839270224023240355649379414816317052013554961699678185656800318689698749205514688720085816114519114611584038179721250074953366072119727445673405440394404762063674154734315926007004118462009754858737452389127503795729968726592531229638653874671468926814716860778556158635672303244252797168441196683538800099138266180949364088495228940340063333458264110331689239694703887848821136182806862439182626417229233694417248126918382743041191668053149942128394544197380158485322504694319581416891004530301119013537257393424952727548849834089807499880121478878816648345550527709849381664215868165116219318970064822890265012924318712626555513413436929734243969232233281138877223715992286468074821551663594650301826217343458853102132382317823270044443264533632811975569090751364022384240067749371879971789252972898189438010167095042590104326230983131169459930611744032006757578826790920956706262071600025784932120389257529659652541315190293421174298062517085683281706539497853556352575451833167973829548117798014723397116077539552653613635784174506484869654418311280428199619253087791567933936382905825282200924265395844845298608502801844979699419831160635147253497979101986965768600112964646075932169492928834153619870261355105578694804135318130889326557088643748749947780927392173187067391276703916395540780731063389793039703382871449551769771960750151365152348158696257704867500528894452302517623767082876307788147155780520698896666447141593437941409424408122295960057569926426410501488779235431469383212293833573175685706785676313320666134351722225282367364524094323987965815785502621700553687420032580151677352358548002611290979293895090460693039514821966754577072710065687793334225559194365398939527543799216007386471223376230375151720708605255288273431025485861467162073184746327990949983707607712336855551440066854244142572375075446218203551984055237859449052014784032724208214567914288478256858520026373415316149571598641610142606281554566440268238305156745068399292990524787579373371123597745861329337678351725833961256071027035596118705136488038918828054261015667689483002025749431531446969300016104673528778381433151431918091482256806120928305556476652060124131892988529446557708907318584431850863594597872157468512500134757876584197385198381711014237901323349726348205519090947114661414800391858369795691671939643041571281482562153064991595792613737101939869833830074121531613586853160249367878545589467608707380326088460626502375834507314697872287811954465444216268060540462243628628904297465252837457173104853987541790419631112089987357791419892239570801824791639954065917879966764845161830883342728508720415155693482901512663363458186544223713084297472441566935475375993931500372921079550159600031738454714742780773379816394532742079944606125517370336627691208573989946554412538913885016798237916167084305193399710813471130770938719338990518162731702174136207576223454965726035537866394951253212560950736445227370173500023475575645103419327058045511644675146873059551627153155935247759196952075163961224409951357511920851942405883387602757104369511801552305493093612104149783982760189284533278601827877760649798037503631464758907898980079712562184120182842162805716503046108137940579091518543698736428}
23690 244112354613770397488607849908584950997373389715769175494748677438876538246665: {71061,307801,449749,520894,804814,899422,1325912,1441369,1491651,1582741,1609492,1775775,1894160,2130930,2176996,2272992,2288521,2461784,2557116,2570329,2769507,2788222,2882494,2992501,3554389,3730222,3905715,4166096,4200622,4255129,4534921,4615455,4686858,4923152,5010196,5046334,5467539,5538546,5575972,5799395,5984494,6171934,6508975,6546622,6743955,6959274,7014622,7108174,7193552,7388734,7810770,7836196,8092746,8118467,8284850,8331488,8416222,8447691,8834869,8975854,9247321,9372924,9796249,9941820,10056775,10151427,10207189,10604608,10744222,10754101,11299861,11301454,11528024,11597810,11835500,11930184,12043534,12068130,12116341,12659221,12692014,12872672,12904852,12969027,13421457,13917372,14028052,14202600,14280949,14316115,14481756,14550229,14817214,15073331,15149440,15222169,15462334,15490441,15977925,16290622,16568300,16694101,17043120,17117614,17179338,17626249,18179328,18493054,18785055,18951769,19042222,19173510,19430744,19499422,19881960,20037392,20138581,20451744,20664181,20906355,21207424,21300772,21415294,21533330,21859587,22234222,22300112,22367205,22415332,22494709,22542066,22597774,22779454,23008212,23142622,23145049,23325771,23534389,23669000,23793589,23858352,23933912,24140014,24181849,25087626,25196692,25214041,25342741,25508714,25767934,25839996,25851855,26296851,26399614,26627625,26840646,26925651,27575312,27750574,27768775,27774361,27969555,28020334,28028809,28402800,28469614,29097934,29380755,29549449,29631892,29815054,29834192,30296320,30352222,30441694,30761900,31022226,31156894,31185109,31305775,31339472,31496655,31953150,32394532,32946196,33322530,33385294,33497572,33535227,33563466,33596432,33925429,34083360,34172821,34451374,34666741,34913269,35201019,35256906,35282521,35544032,35725215,35896501,36046174,36250132,36355584,36441020,36630901,36648579,36914280,37106494,37240921,37362709,37566930,37789167,37795986,37812094,37900222,38106896,38334421,38343780,38455561,39375232,39622424,39987036,40010494,40023829,40071392,40185934,40863241,40900032,41316627,41499694,41528565,41849422,41905975,42056281,42412789,42635374,42870258,43071454,43308291,43714441,43729224,43942414,43950169,44116414,44297136,44575227,44595471,44985454,45080316,45124489,45245854,45592201,45766222,45942229,46012536,46199422,46524169,47335861,47496622,47582974,48359422,49063321,49195377,49406869,49408239,49794731,49834278,50287170,50423614,50547349,50550987,50661001,51764103,51814011,52058600,52199499,52614292,53031061,53292415,53297715,53367049,53417374,53639648,53925589,54236452,54417587,55216299,55316452,55921429,55924491,56141749,56251801,56471689,56624331,56800981,56850896,56859627,57239029,57322222,57829054,58082254,58329109,58503934,58520984,58546261,58565925,59009422,59087881,59093614,59615967,59624932,60319731,60344604,60594841,60699172,61005855,61075795,61348931,61556149,61611934,62470320,62782222,62844196,62934409,63461269,63616222,63722019,63950898,63957258,64621227,64783299,64864222,64931272,65031049,65072912,65239129,65251235,65356707,65836107,66043055,66522622,66576775,66584629,66635008,66829467,67304089,67815829,67844734,68020021,68186596,68998222,69560024,69820222,69945481,70279110,70558654,70948441,71050222,71135330,71148169,71347609,71447221,71541214,72043381,72194974,73010734,73031221,73047681,73207026,73290954,73447599,73628499,73914121,74029972,74402101,74637454,74964384,75617572,75951541,76336021,76815001,77006089,77122975,77146222,77508347,77672629,77739410,77871694,78235619,78255027,78301482,78470355,78807061,78816055,79251666,79397067,79572311,79892130,80057495,80210521,80541464,80651451,80680654,81229429,81479614,81639214,81873289,82148149,82340095,82356622,82513621,82786969,82834174,82968841,83055935,83701712,84025534,84233881,84334932,84427931,84738622,84770499,84817774,84917912,85217941,85218272,85362396,85451979,85484809,86104981,86135332,86239774,86457781,86961525,87072409,87641330,87652975,87813694,87857461,87866427,88117849,88159799,88217715,88284622,88377589,88746772,90162574,90240622,90375512,90609147,90630622,91098094,91107829,91798222,91875934,92112661,92169715,92452451,92528281,92547570,92758960,93216050,93287292,93436309,93600469,94098896,94164426,94579266,94817134,94903381,94957394,94984852,95356414,95532651,95708341,95870556,95952731,96068994,96108121,96267529,96499955,96585481,97199422,97438859,97658734,97767541,97888174,98270254,98345091,98693859,98717408,98728222,98804494,98808114,99241561,99328755,99345027,99351535,99667122,99778069,99946654,...,447154146253315693636979783250015645600648834419013990830939997836448405820234257107139796557483452935063138847980641714852379683323524624297784312409228563332022682977377092603217529398301589223656259106171033959117919991471662330747703861811881465051435159874563247271479604278990344155285342284688249091344578615651426922490231229450044843599757761486664204663614696547109689510101756536970444017063366349534575484736306896799393619807127850875887649039545355712515760092618765878514684196595774604777574123472962829932213427927818828071063618523412976752546957258905336034860533474069122224475578020332442549517278485200478034548123808272033080128724171778671917376057269581875112430049108179591168510108160591607143095511232101473889010506177693014632288106178583691255693594953089888796844457980812007203390222075291167834237953508454866379195752661795025308200148707399271424046132742843410510095000187396165497533859542055831773231704274210293658773939625843850541625872190377574114561787502079724913192591816296070237727983757041479372125336506795451678520305886090137429091323274751134711249820182218318224972518325791564774072496323802247674328978455097234335397519386478068939833270120155394601365953848349921708315835573988429702112232327495391975452739326015188279653198573476734905066664896800449217963353636127046033576360101624057819957683879459347284157015250642563885156489346474696754189895917616048010136368240186381435059393107400038677398180583886294489478811972785440131761447093775628524922559809246780334528863177749751960744322176697022085095674116309328980420453676261759727304481627466920642299428879631687351900904574358737923301386398093767267947912754202767469549129746740952720880246968652980448652900169446969113898254239393251230429805392032658368042206202977196333989835632965623124921671391088259780601086915055874593311171096595084689559555074307174327654657941125227047728522238044386557301250793341678453776435650624314461682220733670781048344999670712390156912114136612183443940086354889639615752233168853147204074818440750359763528560178514469980999201527583337923551046786141485981948723678253932550830531130048870227516028537822003916936468940842635691039559272232950131865609065098531690001338338791548098409291315698824011079706835064345562727581062907882932410146538228792200743109777119491986424975561411568505283327160100281366213858562613169327305327976082856789173578022176049086312321851871432717385287780039560122974224357397962415213909422331849660402357457735117602598939485787181369060056685396618791994006517527588750941884106540553394178057704732058378242081391523501534224503038624147297170453950024157010293167572149727147877137223385209181392458334714978090186197839482794169836563360977876647776295391896808236202768750202136814876296077797572566521356851985024589522308278636420671992122200587787554693537507909464562356922223843229597487393688920605652909804750745111182297420380279740374051817818384201413061070489132690939753563751760972046808431717931698166324402090810693365442943356446197879256185759657280981312685629446668134981036687129838359356202737187459931098876819950147267742746325014092763080622733540224352268995045187279816335569626446208662350403213063990897250559381619325239400047607682072114171160069724591799113119916909188276055504941536812860984919831618808370827525197356874250626457790099566220206696156408079008485777244097553261204311364335182448589053306799592426879818841426104667841055260250035213363467655128990587068267467012720309589327440729733902871638795428112745941836614927036267881277913608825081404135656554267702328458239640418156224675974140283926799917902741816640974697056255447197138361848470119568843276180274263244208574754569162206910868637277815548104642}
23691 244975181671979054536719231342654765921958383666176770810720101532150949244954: {47378,94748,781341,1160173,1207221,1349133,1657390,1988868,2011865,2154061,2367700,2414238,2721245,2841240,2863949,3030656,3077230,3196395,3265494,3409488,3645334,3692676,3835674,4182333,4307758,4323741,4424981,5207620,5595333,6153940,6249144,6262745,6294358,6300933,6969965,7030287,7290052,7384728,7515294,7569501,7998094,8307819,8363958,8976741,8991940,9257901,9279032,9795245,9819933,10087021,10414360,10438911,10521933,10662261,10790328,11083101,11263588,11716155,11754294,12139119,12218261,12427275,12497232,12624333,13255760,13463781,13535236,13774541,14059386,14410030,14794375,14912730,15906912,16090840,16116333,16131065,16472201,16952181,17001901,17292036,17396715,17532718,17535065,17753250,17895276,18065301,18102195,18438629,18556496,18877973,18936800,19038021,19304893,19309008,19357278,19512598,19875353,20710375,20876058,20942173,21042078,21303900,21722634,22225821,22280261,22707469,22724160,22905784,23193501,24128398,24236173,24239104,24288430,24435933,24852450,25046740,25564680,25676421,25769007,26104918,26421694,26509280,26625965,27095581,27268992,27422038,27739581,27875140,28019165,28488821,28563333,28760265,28874638,29146116,29249133,29293781,29396878,29586250,29735641,29822940,29917390,30056088,30677616,31101028,31495865,31811136,31951158,32037413,32122941,32299995,32552494,32731813,33227998,33343534,33351333,33450168,33622998,33813099,33896661,33934109,34169181,34453328,34469140,34512318,34545598,34669621,34713933,35062468,35413093,35503500,35787528,35900868,36210021,36287033,36813982,37039865,37292740,37631439,37795038,37870400,38263071,38452375,38567309,38606518,38651901,38759994,39174340,39599421,39686729,40216558,40260969,40384733,40493165,41015062,41126878,41182745,41362968,41625861,41871965,41995540,42030501,42190678,42484942,42534973,42604200,42704421,42868373,43646901,44430040,44447838,44625709,44713636,44722581,44751288,44798494,45260681,45312665,45411094,45444480,45482981,45528333,45551275,45662541,46142850,46533339,46726294,46735341,46934692,47009208,47633620,47929725,48474112,48591798,48798973,48864772,49002661,49219040,49419294,49528030,49744534,49983795,50077941,50089240,50246358,50321854,50345199,50385556,50394648,50694958,50913694,51125040,51205861,51677061,52885359,53249401,53316048,54069261,54375198,54533376,54661530,54725662,54746141,54817673,55088836,55288441,55371420,55659741,56350395,56693979,56718141,56814863,56850333,56938798,57160344,57515670,57744388,57749869,57983621,58305632,58572718,59062848,59433636,59460628,59980554,60015741,60093238,60094661,60107088,60278901,60865021,61350048,62249541,62774133,63370798,63670102,63692281,63953061,64305387,64607181,65073250,65593836,65767865,65877652,65913621,66174621,66445704,66788878,67049560,67401316,67478181,67620474,67745381,67795565,67868781,67936861,68649333,69010169,69018804,69085348,69145565,69228094,69299133,69599332,70473781,70853941,70916981,71063620,71244933,71374461,71982262,72326309,72539133,72732118,72807373,73151230,73238998,73621732,74146181,74303173,74531165,74565988,74751417,75123838,75217501,75430755,75499108,75635421,75812836,75873965,77170073,77758798,78087900,78555245,78921438,79078573,79225294,79487956,79750942,79945349,80126061,80198501,80426308,80459472,81164090,81341140,81354678,82336534,82974678,83293760,83493262,83845918,84546073,84962692,85062718,85233245,85267864,85276344,85974089,85983333,86161636,86325142,86377732,86743581,86950030,87123381,87142276,87283894,87324478,87642541,87755901,87781476,88514133,88640421,88682621,88751413,89062061,89105956,89394269,89437398,90481973,90516906,90578741,91048758,91682398,91911461,92094629,92241238,92417901,92537465,92555278,92706838,93273661,93565054,93705480,94173333,94266294,94521965,95387158,95424333,95807158,95926347,95935887,96301981,97296333,97396908,97516409,97589662,97609368,97721272,97930132,98150261,98171332,98697029,98997661,99662189,99783933,99952512,...,670731219379973540455469674875023468400973251628520986246409996754672608730351385660709694836225179402594708271970962572278569524985286936446676468613842844998034024466065638904826294097452383835484388659256550938676879987207493496121555792717822197577152739811844870907219406418485516232928013427032373637016867923477140383735346844175067265399636642229996306995422044820664534265152634805455666025595049524301863227104460345199090429710691776313831473559318033568773640138928148817772026294893661907166361185209444244898320141891728242106595427785119465128820435888358004052290800211103683336713367030498663824275917727800717051822185712408049620193086257668007876064085904372812668645073662269386752765162240887410714643266848152210833515759266539521948432159267875536883540392429634833195266686971218010805085333112936751751356930262682299568793628992692537962300223061098907136069199114265115765142500281094248246300789313083747659847556411315440488160909438765775812438808285566361171842681253119587369788887724444105356591975635562219058188004760193177517780458829135206143636984912126702066874730273327477337458777488687347161108744485703371511493467682645851503096279079717103409749905180233091902048930772524882562473753360982644553168348491243087963179108989022782419479797860215102357599997345200673826945030454190569050364540152436086729936525819189020926235522875963845827734734019712045131284843876424072015204552360279572152589089661100058016097270875829441734218217959178160197642170640663442787383839713870170501793294766624627941116483265045533127643511174463993470630680514392639590956722441200380963449143319447531027851356861538106884952079597140650901921869131304151204323694620111429081320370452979470672979350254170453670847381359089876845644708088048987552063309304465794500984753449448434687382507086632389670901630372583811889966756644892627034339332611460761491481986911687840571592783357066579835951876190012517680664653475936471692523331100506171572517499506068585235368171204918275165910129532334459423628349753279720806112227661125539645292840267771704971498802291375006885326570179212228972923085517380898826245796695073305341274042806733005875404703411263953536559338908349425197798413597647797535002007508187322147613936973548236016619560252596518344091371594361824398615219807343188301114664665679237979637463342117352757924990740150422049320787843919753990957991964124285183760367033264073629468482777807149076077931670059340184461336536096943622820864133497774490603536186602676403898409228680772053590085028094928187991009776291383126412826159810830091267086557098087567363122087285252301336754557936220945755680925036235515439751358224590721815705835077813772088687502072467135279296759224191254754845041466814971664443087845212354304153125303205222314444116696358849782035277977536884283462417954631007988183300881681332040306261864196843535383335764844396231090533380908479364707126117666773446130570419610561077726727576302119591605733699036409630345627641458070212647576897547249486603136216040048164415034669296818884278639485921471969028444170002202471555030694757539034304105781189896648315229925220901614119487521139144620934100310336528403492567780919724503354439669312993525604819595986345875839072428987859100071411523108171256740104586887698669679875363782414083257412305219291477379747428212556241287796035311375939686685149349330310044234612118512728665866146329891806467046502773672883579960199388640319728262139157001761582890375052820045201482693485880602401200519080464383991161094600854307458193142169118912754922390554401821916870413237622106203484831401553492687359460627234337013961210425890199876854112724961462045584383170795707542772705179353264914270411394866312862131853743310366302955916723322156963}
23692 245841038607010827968473261162678487507559372114872785659557501417013808155740: {71067,118435,142122,544387,615602,686227,899498,1041788,1394347,1609628,1798844,1959547,2100667,2486085,2651824,2882738,2959625,2983302,3086491,3165482,3218984,3551550,3621357,3788320,4261860,4353992,4545984,4577042,4615845,4898241,4923568,5114232,5140658,5465947,5468001,5539014,5576444,5753511,5764988,5985002,6461637,6509525,6855907,7108778,7460444,7692425,7811430,8119153,8238667,8332192,8376547,8401244,8510258,9069842,9112565,9230910,9339691,9373716,9441537,9846304,10020392,10092668,10935078,11077092,11151944,11239925,11272941,11391691,11598790,11664067,11968988,11997141,12343868,12545937,13017950,13093244,13487910,13697707,13918548,14029244,14079485,14216348,14387104,14777468,15044467,15621540,15672392,16185492,16236934,16517587,16569700,16662976,16832444,16895382,16919045,17631441,17669738,17951708,18494642,18745848,18777091,19173667,19592498,19883640,20042561,20096491,20113550,20302854,20414378,21089079,21209216,21408691,21488444,21508202,21615045,21670267,22062091,22322947,22369095,22599722,22602908,22973827,23056048,23195620,23671000,23752507,23860368,24087068,24136260,24232682,25318442,25384028,25745344,25809704,25938054,25944691,26299077,26585491,26629875,26842914,27479587,27834744,28056104,28243147,28405200,28561898,28632230,28750747,28963512,29035917,29100458,29130691,29268897,29634428,30146662,30298880,30444338,30924668,30980882,31308425,31314087,31396747,31563117,31897147,31955850,32581244,32583951,33136600,33267307,33388202,34086240,34235228,34358676,34505347,34843925,34998547,35252498,35367691,35613427,35736187,36192597,36358656,36432645,36986108,37278675,37570110,37903538,38084444,38347020,38861488,38876285,38998844,39157377,39626491,39632541,39763920,40074784,40277162,40827091,40903488,41133057,41185867,41328362,41812710,42414848,42601544,42830588,42970027,43066660,43086425,43311957,43719174,43828085,44095317,44379375,44468444,44600224,44734410,44830664,44876085,44972491,44989418,45084132,45195548,45558908,45907627,46016424,46285244,46290098,46615925,46651542,47068778,47338000,47587178,47716704,47867824,47926737,48280028,48363698,48685387,48828741,48967925,49373347,49841997,50015301,50172691,50175252,50393384,50428082,50434497,50685482,51017428,51534787,51535868,51679992,51703710,51768477,51818397,52494425,52593702,52799228,53255250,53681292,53781907,53851302,53893507,54672691,55150624,55220973,55448347,55501148,55537550,55548722,55892045,55939110,56040668,56057618,56692557,56805600,56879491,56939228,57208027,57645067,57909777,58139991,58195868,58298467,58668365,58761510,58840987,59098898,59263784,59273707,59542025,59630108,59668384,60324837,60350467,60592640,60704444,60883388,60993067,61080965,61522593,61523800,61690317,62044452,62058307,62270491,62313788,62370218,62611550,62678944,62981945,62993310,63286017,63727413,63906300,64789064,65729947,65892392,66453691,66645060,66671757,66770588,66995144,67070454,67126932,67192864,67197741,67276507,67686187,67850858,68116641,68166720,68298547,68345642,68861045,68902748,69214275,69333482,69826538,70019491,70089441,70402038,70513812,70521691,70565042,71088064,71450430,71793002,72092348,72180485,72500264,72711168,72882040,72887697,73261802,73297158,73497091,73828560,73986691,74128941,74212988,74279587,74292045,74325785,74481842,74609381,74616801,74725418,75133860,75251227,75369537,75482781,75578334,75591972,75624188,75637867,75800444,76042437,76213792,76370541,76407691,76668842,76687560,76911122,77648827,78750464,79244848,79974072,80020988,80047658,80142784,80371868,80837347,80929867,81562797,81726482,81800064,81992295,82088493,82309027,82347065,82633254,82765147,82947091,82999388,83057130,83219467,83698844,83811950,84112562,84251645,84481987,84750691,84825578,85270748,85408197,85506113,85740516,86084491,86142908,86273505,86356685,86616582,86999165,87428882,87458448,87859077,87884828,87900338,88232828,88594272,88829525,88961827,89133691,89150454,89190942,89732947,89970831,89970908,90139857,90160632,90248978,90491708,90582907,91184402,91351729,91532444,91884458,91927867,92025072,92027165,92344387,92398844,92460277,92676307,93048338,93089587,93207485,93747091,94373885,94671722,94766045,94805707,94993244,95056197,95165948,95505153,95531467,95772091,96012067,96569491,96718844,97202227,97609875,98126642,98142691,98390754,98531491,98813738,98816478,99303691,99359945,99589462,99668556,...,894308292506631387273959566500031291201297668838027981661879995672896811640468514214279593114966905870126277695961283429704759366647049248595568624818457126664045365954754185206435058796603178447312518212342067918235839982943324661495407723623762930102870319749126494542959208557980688310570684569376498182689157231302853844980462458900089687199515522973328409327229393094219379020203513073940888034126732699069150969472613793598787239614255701751775298079090711425031520185237531757029368393191549209555148246945925659864426855855637656142127237046825953505093914517810672069721066948138244448951156040664885099034556970400956069096247616544066160257448343557343834752114539163750224860098216359182337020216321183214286191022464202947778021012355386029264576212357167382511387189906179777593688915961624014406780444150582335668475907016909732758391505323590050616400297414798542848092265485686821020190000374792330995067719084111663546463408548420587317547879251687701083251744380755148229123575004159449826385183632592140475455967514082958744250673013590903357040611772180274858182646549502269422499640364436636449945036651583129548144992647604495348657956910194468670795038772956137879666540240310789202731907696699843416631671147976859404224464654990783950905478652030376559306397146953469810133329793600898435926707272254092067152720203248115639915367758918694568314030501285127770312978692949393508379791835232096020272736480372762870118786214800077354796361167772588978957623945570880263522894187551257049845119618493560669057726355499503921488644353394044170191348232618657960840907352523519454608963254933841284598857759263374703801809148717475846602772796187534535895825508405534939098259493481905441760493937305960897305800338893938227796508478786502460859610784065316736084412405954392667979671265931246249843342782176519561202173830111749186622342193190169379119110148614348655309315882250454095457044476088773114602501586683356907552871301248628923364441467341562096689999341424780313824228273224366887880172709779279231504466337706294408149636881500719527057120357028939961998403055166675847102093572282971963897447356507865101661062260097740455032057075644007833872937881685271382079118544465900263731218130197063380002676677583096196818582631397648022159413670128691125455162125815765864820293076457584401486219554238983972849951122823137010566654320200562732427717125226338654610655952165713578347156044352098172624643703742865434770575560079120245948448714795924830427818844663699320804714915470235205197878971574362738120113370793237583988013035055177501883768213081106788356115409464116756484162783047003068449006077248294594340907900048314020586335144299454295754274446770418362784916669429956180372395678965588339673126721955753295552590783793616472405537500404273629752592155595145133042713703970049179044616557272841343984244401175575109387075015818929124713844447686459194974787377841211305819609501490222364594840760559480748103635636768402826122140978265381879507127503521944093616863435863396332648804181621386730885886712892395758512371519314561962625371258893336269962073374259676718712405474374919862197753639900294535485492650028185526161245467080448704537990090374559632671139252892417324700806426127981794501118763238650478800095215364144228342320139449183598226239833818376552111009883073625721969839663237616741655050394713748501252915580199132440413392312816158016971554488195106522408622728670364897178106613599184853759637682852209335682110520500070426726935310257981174136534934025440619178654881459467805743277590856225491883673229854072535762555827217650162808271313108535404656916479280836312449351948280567853599835805483633281949394112510894394276723696940239137686552360548526488417149509138324413821737274555631096209284}
23693 246709935989251917735660855725286962240111535413741682293961103313630300112439: {94756,189496,213183,923403,1302235,1349247,1562682,2012035,2248555,2320346,2414442,2698266,2816611,2864191,3314780,3384667,3809743,3977736,4023730,4308122,4324107,4474953,4735400,4748223,4828476,4945567,5229523,5327325,5442490,5682480,5727898,6061312,6154460,6392790,6530988,6818976,6865563,6970555,7206235,7290668,7385352,7671348,7710987,8308521,8364666,8615516,8647482,8767843,8849962,8977503,9325555,9757951,10415240,10501555,10663167,11190666,11717145,12307880,12498288,12525490,12588716,12601866,12615835,12765387,13604763,13713343,13775707,13846365,13939930,14060574,14439763,14580104,14769456,14961235,15030588,15139002,15331327,15429835,15996188,16279003,16366555,16402617,16615638,16727916,17275723,17398185,17536555,17770435,17953482,17983880,18410107,18471835,18515802,18558064,18879571,18958027,19526925,19590490,19639866,20111683,20174042,20231865,20511007,20712125,20828720,20877822,21040555,21043866,21098911,21246067,21284323,21324522,21545887,21580656,21791107,22166202,22282147,22439635,22527176,22583491,23097547,23367103,23432310,23508588,24278238,24355401,24436522,24549091,24854550,24994464,25248666,25343073,25351771,25536463,26198491,26504607,26511520,26860555,26890651,26927562,27070472,27549082,27741963,28087747,28118772,28253635,28820060,28994525,29291323,29388747,29588750,29825460,30108835,30170325,30454281,30621567,31730035,31813824,31840447,32181680,32232666,32262130,32262303,32944402,33123427,33289723,33899583,33904362,34003802,34584072,34619923,34793430,35065436,35070130,35506500,35790552,36130602,36204390,36349023,36372223,36877258,37043035,37112992,37276351,37755946,37873600,37977663,38076042,38537167,38609786,38618016,38655835,38714556,38789587,38907081,39025196,39084991,39226831,39750706,40103947,40264371,40726555,41056051,41420750,41622667,41752116,41753707,41884346,42084156,42607800,42794035,42842847,42948345,43169887,43445268,43650687,43669651,44094211,44451642,44560522,44737627,45219993,45264523,45414938,45448320,45579547,45666507,45811568,46232635,46285483,46387002,46471323,47605555,47701663,47911711,47933775,48256796,48270307,48472346,48478208,48576860,48577987,48748555,48871866,49704900,50082303,50093480,50585467,50842291,51129360,51280627,51352842,51538014,51855811,52130191,52209836,52843388,52878747,53018560,53251930,53538235,53833325,54191162,54537984,54822331,54844076,55479162,55585555,55617931,55750280,55830223,56038330,56355165,56494435,56690431,56759467,56855307,56948635,56977642,57071467,57126666,57520530,57544927,57655843,57749276,57856555,57988543,58292232,58498266,58587562,58620751,58770163,58793756,59067427,59172500,59471282,59645880,59834780,60112176,60350035,60415743,61224643,61266811,61355232,61992543,62202056,62719065,62991730,63437731,63622272,63771785,63902316,64074826,64245882,64419835,64599990,64692991,65104988,65463626,65578761,65999035,66293971,66455996,66687068,66702666,66742051,66900336,67101615,67245996,67484127,67626198,67793322,67868218,68338362,68644291,68906656,68938280,69016027,69024636,69091196,69339242,69376435,69427866,69435147,69977313,70050835,70124936,70376707,70603167,70826186,70923007,71007000,71020963,71174035,71380767,71501371,71575056,71801736,72420042,72545547,72574066,72744835,72841087,73097371,73627964,73737787,73769491,74079730,74537635,74585480,75228607,75262878,75590076,75642123,75740800,75880555,76028223,76104235,76526142,76904750,77134618,77213036,77303802,77519988,77555565,77606131,77892235,78348680,78890553,79198842,79373458,79882875,79952191,80062723,80433116,80459467,80521938,80769466,80776953,80986330,82030124,82253756,82365490,82492147,82725936,83251722,83306325,83323083,83463235,83743930,83908665,83991080,84061002,84086427,84110623,84381356,84969884,85069946,85208400,85408842,85476547,85736746,85981387,86128435,86686771,87293802,87504271,88142265,88648347,88860080,88895676,89251418,89427272,89445162,89502576,89575387,89596988,90115435,90167947,90521362,90625330,90822188,90888960,90965962,91056666,91102550,91180723,91279171,91325082,91919263,92075011,92285700,92766235,93066678,93160351,93230491,93452588,93470682,93494563,93555327,93869384,93917325,94018416,94480867,94489965,94530235,94750555,94913791,95267240,95559391,95859450,96803791,96948224,97183596,97597946,97729544,98005322,98438080,98538931,98649907,98705407,98838588,99056060,99447427,99489068,99670747,99967590,...,1341462438759947080910939349750046936801946503257041972492819993509345217460702771321419389672450358805189416543941925144557139049970573872893352937227685689996068048932131277809652588194904767670968777318513101877353759974414986992243111585435644395154305479623689741814438812836971032465856026854064747274033735846954280767470693688350134530799273284459992613990844089641329068530305269610911332051190099048603726454208920690398180859421383552627662947118636067137547280277856297635544052589787323814332722370418888489796640283783456484213190855570238930257640871776716008104581600422207366673426734060997327648551835455601434103644371424816099240386172515336015752128171808745625337290147324538773505530324481774821429286533696304421667031518533079043896864318535751073767080784859269666390533373942436021610170666225873503502713860525364599137587257985385075924600446122197814272138398228530231530285000562188496492601578626167495319695112822630880976321818877531551624877616571132722343685362506239174739577775448888210713183951271124438116376009520386355035560917658270412287273969824253404133749460546654954674917554977374694322217488971406743022986935365291703006192558159434206819499810360466183804097861545049765124947506721965289106336696982486175926358217978045564838959595720430204715199994690401347653890060908381138100729080304872173459873051638378041852471045751927691655469468039424090262569687752848144030409104720559144305178179322200116032194541751658883468436435918356320395284341281326885574767679427740341003586589533249255882232966530091066255287022348927986941261361028785279181913444882400761926898286638895062055702713723076213769904159194281301803843738262608302408647389240222858162640740905958941345958700508340907341694762718179753691289416176097975104126618608931589001969506898896869374765014173264779341803260745167623779933513289785254068678665222921522982963973823375681143185566714133159671903752380025035361329306951872943385046662201012343145034999012137170470736342409836550331820259064668918847256699506559441612224455322251079290585680535543409942997604582750013770653140358424457945846171034761797652491593390146610682548085613466011750809406822527907073118677816698850395596827195295595070004015016374644295227873947096472033239120505193036688182743188723648797230439614686376602229329331358475959274926684234705515849981480300844098641575687839507981915983928248570367520734066528147258936965555614298152155863340118680368922673072193887245641728266995548981207072373205352807796818457361544107180170056189856375982019552582766252825652319621660182534173114196175134726244174570504602673509115872441891511361850072471030879502716449181443631411670155627544177375004144934270558593518448382509509690082933629943328886175690424708608306250606410444628888233392717699564070555955073768566924835909262015976366601763362664080612523728393687070766671529688792462181066761816958729414252235333546892261140839221122155453455152604239183211467398072819260691255282916140425295153795094498973206272432080096328830069338593637768557278971842943938056888340004404943110061389515078068608211562379793296630459850441803228238975042278289241868200620673056806985135561839449006708879338625987051209639191972691751678144857975718200142823046216342513480209173775397339359750727564828166514824610438582954759494856425112482575592070622751879373370298698660620088469224237025457331732292659783612934093005547345767159920398777280639456524278314003523165780750105640090402965386971761204802401038160928767982322189201708614916386284338237825509844781108803643833740826475244212406969662803106985374718921254468674027922420851780399753708225449922924091168766341591415085545410358706529828540822789732625724263707486620732605911833446644313926}
23694 247581884425725442929296407465792677677704135871002955144455206964859429567324: {118445,142134,165809,236870,284244,402509,544433,733553,1088774,1231204,1372454,1441613,1583009,1677233,1798996,2083576,2344023,2382893,2664653,2788694,2993009,3086753,3219256,3227309,3480519,3597688,3621663,3695309,3835553,3919094,4047399,4143475,4201334,4628909,4972170,5303648,5765476,5919250,5966604,6035595,6162353,6172982,6330964,6437968,6462183,6486509,7103100,7242714,7576640,7693075,7871309,8163735,8523720,8561009,8591847,8698733,8707984,8928113,9091968,9113335,9154084,9231690,9248909,9340493,9589185,9796482,9847136,10228464,10281316,10300193,10769395,10847009,10931894,10936002,11078028,11152888,11392673,11507022,11529976,11970004,12073133,12546999,12757591,12923274,12971223,13019050,13022753,13274943,13338509,13711814,14013809,14148653,14217556,14552753,14776973,14920888,15045773,15384850,15493133,15582509,15622860,15716513,15735895,15895073,16118093,16238306,16477334,16664384,16753094,16785999,16802488,16830413,17020516,17230193,17363309,17717933,18027809,18139684,18225130,18461820,18679382,18747432,18788235,18822833,18883074,18902799,19692608,19711279,19995235,20010509,20040784,20142113,20185336,20229809,20667809,20755313,20909895,21090861,21672173,21870156,21977009,22154184,22194509,22303888,22479850,22545882,22628909,22708503,22783382,23197580,23328134,23686663,23797793,23937976,23994282,24687736,24923457,25091874,25347233,25946993,25989773,26035900,26186488,26203553,26843693,26930223,26975820,27269453,27395414,27773703,27837096,28058488,28158970,28432696,28774208,29048909,29175473,29385735,29459799,29554936,29681009,30088934,30261063,31243080,31316733,31344784,31565799,31691633,31986783,32191409,32370984,32473868,33035174,33139400,33249303,33325952,33664888,33766433,33790764,33838090,34755233,35001713,35148465,35262882,35339476,35370893,35780333,35903009,35903416,36025075,36417357,36515309,36637553,36654783,36719009,36989284,37281825,37328909,37491696,37554182,37872999,38058413,38347334,39067313,39184996,39429293,39767280,39870833,40031153,40085122,40192982,40227100,40391343,40605708,40828756,40870733,40950509,41323623,41547809,42178158,42418432,42817382,42976888,43016404,43230090,43250093,43340534,43604513,43831795,44124182,44383125,44645894,44738190,44976653,45015713,45199444,45205816,45947654,45950753,46067309,46112096,46391240,47342000,47344673,47421809,47505014,47537453,47720736,48174136,48272520,48348999,48393195,48465364,48781495,48957809,49072493,49148909,49416113,49416603,50101409,50556833,50636884,50670509,50746253,50768056,50856543,51005703,51313313,51426509,51490688,51619408,51876108,51889382,51991409,52190145,52367009,52479533,52598154,52605195,53041073,53170982,53259750,53563553,53685828,53935793,54195903,54306585,54426799,54714893,54959174,55315887,55453613,55669488,56005553,56112208,56152433,56262509,56372513,56486294,56555693,56633919,56810400,56884913,56921453,57114063,57123796,57249953,57264460,57501494,57914679,57927024,58071834,58200916,58261382,58340273,58448909,58537794,59171309,59268856,59626059,60069809,60293324,60320995,60597760,60721075,60888676,61359319,61425953,61849336,61961764,62099693,62131125,62616850,62628174,62793494,62826519,63126234,63263009,63543713,63794294,63911700,65162488,65167902,65262295,65355809,65874509,66054235,66273200,66460193,66494573,66534614,66677463,66776404,66840783,67317293,68101409,68122407,68172480,68339213,68470456,68508833,68555095,68717352,69010694,69117809,69556013,69580503,69687850,69997094,70026413,70059953,70504996,70735382,70862513,70962509,71226854,71228813,71461409,71472374,71859233,72024653,72186595,72222893,72385194,72708519,72717233,72717312,72848753,72865290,73045793,73307799,73492195,73504433,73537133,73928909,73965625,73972216,73994093,74514413,74557350,74793475,75065009,75140220,75645473,75807076,76127213,76168888,76415393,76447373,76694040,76894253,77029263,77307021,77466509,77688353,77722976,77752570,77878193,77997688,78248863,78257009,78314754,78885809,78979853,79252982,79265082,79527840,79877895,80149568,80195873,80505713,80554324,81153773,81286743,81381235,81654182,81806976,82042913,82134509,82135711,82266114,82347953,82371734,82656724,82682573,82804013,82955633,82985933,83069995,83218743,83358835,83625420,84057495,84829696,85203088,85205933,85466463,85513351,85661176,85689999,85739309,85827953,85940054,86093453,86122913,86133320,86172850,86280795,86363995,86563853,86623914,87438348,87656170,87747399,87881343,88136333,88174723,88190634,88453793,88655309,88741553,88758750,88936888,89200448,89206923,89468820,89571533,89661328,89752170,89944982,89978836,90168264,90391096,90451313,91117816,91815254,92032848,92034955,92570488,92580196,92603309,92796593,93231850,93303084,93374093,93511073,93784433,94137556,94487595,94518509,94676000,94842893,94923809,95174356,95433408,95541773,95735648,95782433,95853474,96112239,96368823,96405463,96516295,96560056,96606413,96659309,96727396,96899985,96976013,97239053,97370774,97448909,97657482,97788833,97935850,98195439,98542253,98619809,98697293,98746694,98877809,99263309,99314573,99340193,99683994,99698033,99774509,99850913,...,2012193658139920621366409024625070405202919754885562958739229990264017826191054156982129084508675538207784124815912887716835708574955860809340029405841528534994102073398196916714478882292357151506453165977769652816030639961622480488364667378153466592731458219435534612721658219255456548698784040281097120911050603770431421151206040532525201796198909926689988920986266134461993602795457904416366998076785148572905589681313381035597271289132075328941494420677954100706320920416784446453316078884680985721499083555628332734694960425675184726319786283355358395386461307665074012156872400633311050010140101091495991472827753183402151155466557137224148860579258773004023628192257713118438005935220986808160258295486722662232143929800544456632500547277799618565845296477803626610650621177288904499585800060913654032415255999338810255254070790788046898706380886978077613886900669183296721408207597342795347295427500843282744738902367939251242979542669233946321464482728316297327437316424856699083515528043759358762109366663173332316069775926906686657174564014280579532553341376487405618430910954736380106200624190819982432012376332466062041483326233457110114534480403047937554509288837239151310229249715540699275706146792317574647687421260082947933659505045473729263889537326967068347258439393580645307072799992035602021480835091362571707151093620457308260189809577457567062778706568627891537483204202059136135393854531629272216045613657080838716457767268983300174048291812627488325202654653877534480592926511921990328362151519141610511505379884299873883823349449795136599382930533523391980411892041543177918772870167323601142890347429958342593083554070584614320654856238791421952705765607393912453612971083860334287243961111358938412018938050762511361012542144077269630536934124264146962656189927913397383502954260348345304062147521259897169012704891117751435669900269934677881103017997834382284474445960735063521714778350071199739507855628570037553041993960427809415077569993301518514717552498518205755706104513614754825497730388597003378270885049259839162418336682983376618935878520803315114914496406874125020655979710537636686918769256552142696478737390085219916023822128420199017626214110233791860609678016725048275593395240792943392605006022524561966442841810920644708049858680757789555032274114783085473195845659422029564903343993997037713938912390026352058273774972220451266147962363531759261972873975892372855551281101099792220888405448333421447228233795010178020553384009608290830868462592400493323471810608559808029211695227686042316160770255084284784563973029328874149379238478479432490273801259671294262702089366261855756904010263673808662837267042775108706546319254074673772165447117505233441316266062506217401405837890277672573764264535124400444914993329263535637062912459375909615666943332350089076549346105833932610652850387253863893023964549902645043996120918785592590530606150007294533188693271600142725438094121378353000320338391711258831683233180182728906358774817201097109228891036882924374210637942730692641748459809408648120144493245104007890456652835918457764415907085332510006607414665092084272617102912317343569689944945689775662704842358462563417433862802300931009585210477703342759173510063319007938980576814458787959037627517217286963577300214234569324513770220313760663096009039626091347242249772236915657874432139242284637668723863388105934127819060055448047990930132703836355538185997598438989675419401139508321018650739880598165920959184786417471005284748671125158460135604448080457641807203601557241393151973483283802562922374579426507356738264767171663205465750611239712866318610454494204660478062078381881703011041883631277670599630562338174884386136753149512387122628318115538059794742811234184598938586395561229931098908867750169966470889}
23695 248456894560217597483216427717784484480715588590849023777390730128720287926142: {189512,213201,355305,378992,426366,1539005,1633161,1823129,1846806,2058681,2248745,2604470,2698494,2816849,3125364,3147977,3384953,4000061,4024070,4183041,4497110,4640692,4828884,5396532,5633222,5728382,5844761,5878641,6302001,6629560,6769334,7206845,7458255,7619486,7913705,7955472,8047460,8616244,8648214,8878875,8949906,9259473,9470800,9496446,9656952,9758777,9891134,10088729,10459046,10654650,10864071,10884980,11364960,11442605,11455796,12122624,12308920,12785580,12851645,13055777,13061976,13637952,13731126,13847535,13941110,14412470,14581336,14694723,14702177,14770704,14962505,15342696,15421974,15851033,16280381,16397841,16404003,16617042,16729332,17231032,17260533,17294964,17535686,17662169,17699924,17771945,17955006,18118841,18651110,19308161,19384911,19515902,19528575,20567721,20830480,20945729,21003110,21100697,21275645,21326334,21601769,22381332,22404941,22674605,22711313,22913177,23077275,23369081,23434290,23788361,24240281,24357459,24551177,24615760,24716001,24878609,24996576,25050980,25129641,25177432,25203732,25231670,25353917,25463321,25530774,25860569,26717273,27100169,27209526,27297101,27337695,27426686,27551414,27692730,27879860,28019073,28121148,28324611,28879526,28996975,29160208,29456777,29457881,29538912,29922470,30024833,30054257,30061176,30278004,30662654,30859670,30961853,31415489,31693457,31992376,32544875,32558006,32733110,32737361,32805234,32909129,33231276,33455832,33719775,33818823,34175073,34551446,34796370,34992201,35073110,35540870,35906964,35967760,35991423,36820214,36943670,37031604,37116128,37206161,37604777,37637811,37759142,37916054,38885069,39053850,39180980,39279732,39555089,39622721,40223366,40348084,40463730,40592335,41022014,41093121,41424250,41657440,41755644,42081110,42087732,42152369,42197822,42238455,42492134,42568646,42649044,42868481,43091774,43161312,43582214,43653041,44174345,44332404,44422049,44564294,44633273,44879270,45054352,45133401,45166982,45852857,46191353,46195094,46236605,46734206,46864620,47017176,48556476,48710802,48807257,48873044,48981245,49098182,49552761,49709100,49946381,49988928,50283875,50497332,50589761,50686146,50703542,50757135,51035945,51072926,51516617,51860249,51928193,52396982,52871741,52894323,53009214,53023040,53721110,53770505,53781302,53782121,53855124,54118169,54140944,54480833,55098164,55483926,55622657,56175494,56237544,56331273,56499305,56507270,56823737,57017177,57521001,57640120,57989050,58582646,58777494,59006093,59072441,59177500,59650920,59855441,59911649,60127683,60217670,60289473,60340650,60581705,60673913,60908562,61243134,61272017,62161217,63267237,63296105,63460070,63627648,63680894,64226073,64363360,64465332,64524260,64524606,64725689,64845135,65010801,65888804,66186273,66246854,66579446,66647777,66968841,67107285,67799166,67808724,68007604,68007641,68247977,68921481,69168144,69239846,69586860,70130872,70140260,70382681,70577933,70865969,71013000,71257521,71404745,71580575,71581104,71992793,72261204,72300269,72408780,72698046,72744446,72751145,73754516,73775753,74086070,74225984,74256569,74463677,74552702,74594057,74953529,75230273,75366655,75511892,75747200,75955326,76110845,76152084,76237373,76455353,77074334,77219572,77236032,77311670,77429112,77452205,77579174,77814162,77819777,77834073,78050392,78138569,78169982,78453662,78897231,79092209,79501412,79728089,79756473,79889625,79913297,80207894,80466353,80528742,80999177,81453110,82112102,82438761,82841500,83245334,83470505,83504232,83507414,83768692,84168312,84490049,84560429,84729441,85215600,85588070,85685694,85896690,86084921,86252241,86339774,86694137,86890536,87107751,87301374,87339302,87392073,87806691,88032509,88131245,88135241,88188422,88903284,89121044,89280499,89475254,90175601,90187769,90439986,90529046,90829876,90896640,91159094,91333014,91623136,92398649,92465270,92570966,92665169,92774004,92942646,93686189,93925275,93942261,94190241,94488953,94689351,94758845,94973117,95088461,95211110,95403326,95645033,95691441,95823422,95867550,96318329,96513592,96540614,96944692,96956416,97127009,97153720,97155974,97497110,97743732,97751853,98071169,98658281,99409800,99643649,99801921,...,2682924877519894161821878699500093873603893006514083944985639987018690434921405542642838779344900717610378833087883850289114278099941147745786705874455371379992136097864262555619305176389809535341937554637026203754707519948829973984486223170871288790308610959247379483628877625673942064931712053708129494548067471693908561534941387376700269061598546568919985227981688179282658137060610539221822664102380198097207452908417841380796361718842767105255325894237272134275094560555712595271088105179574647628665444740837776979593280567566912968426381711140477860515281743553432016209163200844414733346853468121994655297103670911202868207288742849632198480772345030672031504256343617491250674580294649077547011060648963549642858573067392608843334063037066158087793728637071502147534161569718539332781066747884872043220341332451747007005427721050729198275174515970770151849200892244395628544276796457060463060570001124376992985203157252334990639390225645261761952643637755063103249755233142265444687370725012478349479155550897776421426367902542248876232752019040772710071121835316540824574547939648506808267498921093309909349835109954749388644434977942813486045973870730583406012385116318868413638999620720932367608195723090099530249895013443930578212673393964972351852716435956091129677919191440860409430399989380802695307780121816762276201458160609744346919746103276756083704942091503855383310938936078848180525139375505696288060818209441118288610356358644400232064389083503317766936872871836712640790568682562653771149535358855480682007173179066498511764465933060182132510574044697855973882522722057570558363826889764801523853796573277790124111405427446152427539808318388562603607687476525216604817294778480445716325281481811917882691917401016681814683389525436359507382578832352195950208253237217863178003939013797793738749530028346529558683606521490335247559867026579570508137357330445843045965927947646751362286371133428266319343807504760050070722658613903745886770093324402024686290069998024274340941472684819673100663640518129337837694513399013118883224448910644502158581171361071086819885995209165500027541306280716848915891692342069523595304983186780293221365096171226932023501618813645055814146237355633397700791193654390591190140008030032749288590455747894192944066478241010386073376365486377447297594460879229372753204458658662716951918549853368469411031699962960601688197283151375679015963831967856497140735041468133056294517873931111228596304311726680237360737845346144387774491283456533991097962414144746410705615593636914723088214360340112379712751964039105165532505651304639243320365068346228392350269452488349141009205347018231744883783022723700144942061759005432898362887262823340311255088354750008289868541117187036896765019019380165867259886657772351380849417216612501212820889257776466785435399128141111910147537133849671818524031952733203526725328161225047456787374141533343059377584924362133523633917458828504470667093784522281678442244310906910305208478366422934796145638521382510565832280850590307590188997946412544864160192657660138677187275537114557943685887876113776680008809886220122779030156137216423124759586593260919700883606456477950084556578483736401241346113613970271123678898013417758677251974102419278383945383503356289715951436400285646092432685026960418347550794678719501455129656333029649220877165909518989712850224965151184141245503758746740597397321240176938448474050914663464585319567225868186011094691534319840797554561278913048556628007046331561500211280180805930773943522409604802076321857535964644378403417229832772568676475651019689562217607287667481652950488424813939325606213970749437842508937348055844841703560799507416450899845848182337532683182830171090820717413059657081645579465251448527414973241465211823666893288627852}
23696 249334977073404237448855511825206292567768719313445875730363658409991367427455: {165823,236890,284268,331618,449863,473740,568488,639549,805018,1088866,1467106,1583143,1724479,2177548,2289103,2430079,2462408,2744908,2770209,2883226,3166018,3274423,3354466,3597992,3695623,3906705,4047741,4167152,4675903,4688046,4765786,5234479,5329306,5577388,5800865,5986018,6036105,6173506,6438512,6454618,6745665,6961038,7195376,7243326,7390618,7671106,7838188,8094798,8286950,8402668,8449833,8592573,9257818,9944340,10059325,10154001,10607296,10770305,11302783,11429229,11530952,11575303,11838500,11933208,12071190,12119479,12324706,12345964,12661928,12758669,12875936,12924366,12972321,12973018,13424859,13606225,14206200,14244669,14319745,14485428,14823079,14836701,15077153,15153280,15386150,15688569,15742618,15981975,16327470,16831879,17047440,17122018,17183694,17397466,17415968,17856226,18183936,18226670,18308168,18463380,18497818,18680986,19178370,19592964,19694272,20456928,20562632,20596689,20600386,20911665,20932063,21538790,21618705,21694018,21863788,21872004,22030253,22124905,22156056,22305776,22630903,22785346,23014044,23059952,23132961,23940008,24146266,24925563,25093998,25349479,25478143,25515182,25846548,25942446,25992079,26038100,26045506,26303529,26549886,26677018,26932509,27271879,27423628,27976665,27993329,28027618,28036303,28297306,28435112,29105506,29273853,29553946,29683663,29841776,30091546,30769700,30986266,31165018,31245720,31313725,31433026,31471790,31495453,31504665,31694479,31790146,31989501,32236186,32476612,32954668,33328768,33506188,33571998,33604976,33660826,34041032,34182079,34305703,34460386,34676143,34726618,34849825,35151435,35435866,36055618,36279368,36450260,36518623,36763063,36923640,37251079,37358764,37372903,37494864,37576470,37645666,37766148,37805598,37847505,38296161,38466079,38587183,39385216,39422558,39990470,40021018,40081568,40284226,40370672,40459618,40814289,40994143,41140029,41327121,41335618,41510626,41539095,41819790,42181722,43319289,43344346,43740312,43954018,44308368,44389018,44607776,44883705,44959700,45019879,45091764,45257818,45417006,45566764,45993981,46071583,46289505,46395160,46656268,46885543,47349079,47373326,47595586,47875952,47988564,48837009,48976225,49099665,49207851,49375472,49846914,50183748,50435105,50675263,50694466,50788879,51827169,51893986,51979546,52071800,52194555,52372976,52407106,52609665,53046079,53311305,53687386,53717623,53860446,53951640,54052423,54538906,54790828,55230321,55415505,55547406,55674192,56116976,56267863,56317940,56377879,56638713,56865392,56874081,56926879,57548416,57583303,57910543,58097818,58350946,58454503,58580775,58771470,58919598,59109872,59362018,60075583,60177868,60335049,60522126,60695595,61091305,61254079,61364513,61533021,62136375,62486160,62633466,62689568,63121665,63131598,63296733,63383266,63738201,63852969,63973566,64382818,64637661,64741968,64945879,64947736,65362183,65373321,65880943,66070348,66278800,66498606,66501079,66651904,66846441,67318905,67329776,67426423,67532866,67581528,67676180,67750473,68040079,68294093,68549479,68872705,69292641,69510466,70003426,70066879,70101309,70296930,70525764,70678952,70741786,71468503,71560666,71806018,71806832,72050150,72064879,72461023,72834714,73030618,73066203,73275106,73309566,73438018,73544479,73647273,73971875,73978568,74521879,74563650,74657818,74983392,75104863,75108364,75745998,76029219,76055313,76116826,76455079,76609389,76694668,76838263,77506063,77886079,78134626,78369992,78595473,78858586,79513821,79534560,79741666,80062306,80170244,80235079,80328103,80385964,80454200,80581665,80655325,80671953,80782686,81162079,81211416,81657512,81741466,81901018,82173463,82361005,82647246,82994479,83095618,83225889,84263241,84349879,84356316,84449393,84760905,84836864,85009505,85244479,85600303,85634764,85953776,86032808,86131879,86460180,86500186,86572879,86681068,86983575,87209026,87663590,87675325,87873969,88166241,88248364,88766250,89291788,89476380,89609479,89953306,90031426,90326505,90398888,90411632,90460879,90510975,91362843,91367213,91864701,91895308,91901506,92134618,92142079,92193145,92224192,92225383,92475929,92782480,94284583,94389865,94684000,94689346,94843618,95010028,95014879,95074906,95190105,95441472,95521341,95899543,95977133,96348272,96524465,96545040,96697998,96786390,96786909,96930728,97562990,97915618,98144986,98297818,98832226,98833206,98888623,99351079,99370281,99376765,99810943,99869169,...,4024387316279841242732818049250140810405839509771125917478459980528035652382108313964258169017351076415568249631825775433671417149911721618680058811683057069988204146796393833428957764584714303012906331955539305632061279923244960976729334756306933185462916438871069225443316438510913097397568080562194241822101207540862842302412081065050403592397819853379977841972532268923987205590915808832733996153570297145811179362626762071194542578264150657882988841355908201412641840833568892906632157769361971442998167111256665469389920851350369452639572566710716790772922615330148024313744801266622100020280202182991982945655506366804302310933114274448297721158517546008047256384515426236876011870441973616320516590973445324464287859601088913265001094555599237131690592955607253221301242354577808999171600121827308064830511998677620510508141581576093797412761773956155227773801338366593442816415194685590694590855001686565489477804735878502485959085338467892642928965456632594654874632849713398167031056087518717524218733326346664632139551853813373314349128028561159065106682752974811236861821909472760212401248381639964864024752664932124082966652466914220229068960806095875109018577674478302620458499431081398551412293584635149295374842520165895867319010090947458527779074653934136694516878787161290614145599984071204042961670182725143414302187240914616520379619154915134125557413137255783074966408404118272270787709063258544432091227314161677432915534537966600348096583625254976650405309307755068961185853023843980656724303038283221023010759768599747767646698899590273198765861067046783960823784083086355837545740334647202285780694859916685186167108141169228641309712477582843905411531214787824907225942167720668574487922222717876824037876101525022722025084288154539261073868248528293925312379855826794767005908520696690608124295042519794338025409782235502871339800539869355762206035995668764568948891921470127043429556700142399479015711257140075106083987920855618830155139986603037029435104997036411511412209027229509650995460777194006756541770098519678324836673365966753237871757041606630229828992813748250041311959421075273373837538513104285392957474780170439832047644256840398035252428220467583721219356033450096551186790481585886785210012045049123932885683621841289416099717361515579110064548229566170946391691318844059129806687987994075427877824780052704116547549944440902532295924727063518523945747951784745711102562202199584441776810896666842894456467590020356041106768019216581661736925184800986646943621217119616058423390455372084632321540510168569569127946058657748298758476956958864980547602519342588525404178732523711513808020527347617325674534085550217413092638508149347544330894235010466882632532125012434802811675780555345147528529070248800889829986658527071274125824918751819231333886664700178153098692211667865221305700774507727786047929099805290087992241837571185181061212300014589066377386543200285450876188242756706000640676783422517663366466360365457812717549634402194218457782073765848748421275885461385283496919618817296240288986490208015780913305671836915528831814170665020013214829330184168545234205824634687139379889891379551325409684716925126834867725604601862019170420955406685518347020126638015877961153628917575918075255034434573927154600428469138649027540440627521326192018079252182694484499544473831315748864278484569275337447726776211868255638120110896095981860265407672711076371995196877979350838802279016642037301479761196331841918369572834942010569497342250316920271208896160915283614407203114482786303946966567605125844749158853014713476529534343326410931501222479425732637220908988409320956124156763763406022083767262555341199261124676349768772273506299024774245256636231076119589485622468369197877172791122459862197817735500339932941778}
23697 250216142682977901307940584589882207791054296439044805212785071414109212447382: {355335,379024,426402,497427,592175,710610,757984,852732,1207527,1633299,2154607,2200659,2721935,3078010,3148243,3266322,3431135,3646258,3693612,4000399,4117362,4324839,4426103,4497490,4749027,5031699,5208940,5396988,5633698,5986739,6250728,6295954,6769906,6838607,6971735,7032069,7148679,7993959,8000122,8048140,8366082,8979027,8994220,9260259,9281384,9657768,9681927,9797735,10089583,10441557,10503335,10793064,10864989,11079187,11085927,11266444,11456764,11506659,11689522,11757282,12142197,12430425,12604002,13259120,13538668,13778039,13886727,14413690,14798125,14916510,15238972,15333923,15432455,15827410,15910944,16019647,16094920,17232488,17296428,17757750,17899812,17992303,18106785,18487059,18518946,18733039,18882767,18941600,18992892,19313904,19386549,19459527,19517554,19782268,20177458,20918092,20947507,21287927,21309300,21549539,21728142,21769960,22285919,22729920,22885210,22911592,23079225,23613927,24245248,24491205,24617840,24880723,25540787,25571160,25683027,25703290,25775541,26096199,26111554,26123952,26784339,27102463,27275904,27329735,27340005,27462252,27695070,27746727,27882220,28021479,28092503,28496063,28767555,28824940,29162672,29389446,29404354,29541408,29785903,29925010,30685392,30843948,30900579,31489459,31574959,31702066,31744447,32308185,32339887,32541027,32547625,32560762,32795682,32808006,33234084,33458664,34178019,34279535,34462064,34521066,34589928,35071372,35324338,35399848,35422099,35488343,35543890,35910012,36219399,36237682,37302220,37640997,38272773,38462125,38543699,38577143,38616322,38769822,38892607,38913669,39031804,39057150,39068259,39824829,40015527,40394999,40595765,41135442,41193335,41660960,41882735,41891458,42006220,42041427,42201394,42445959,42551290,42652668,43203538,43459783,43658259,44330919,44762664,44809882,45137319,45272207,45349210,45422626,45494543,45562825,45826354,46154550,46479399,46698455,46738162,46747527,46868580,47149539,47207685,47576722,47685219,48354279,48480562,48714918,49015123,49102354,49231520,49432002,49757218,49993152,50101960,50259282,50354864,50357997,50407464,50463340,50491239,50707834,50926642,51061548,51289319,51690579,51721138,52089927,52139027,52443623,53153799,53262943,53390959,53434546,54083427,54200338,54419052,54594202,54675390,54853372,55102828,55385460,55759720,56038146,56199625,56242296,56364705,56468499,56649222,56708397,56829269,56958455,57759052,57993950,57998387,58320335,58320416,58487047,58577123,58913554,58915762,59077824,59133837,59604023,59844940,59985705,60031527,60049666,60108514,60122352,60426339,60556008,60689427,61235039,61325308,61642163,61719340,61844083,61884439,61923706,62003427,62166499,62265939,62729685,62830978,63272583,63386914,63984752,64386439,64731247,65016519,65089750,65116012,65466220,65474722,65610468,65818258,65931027,66462552,66583527,66911664,67439550,67637646,67886727,68125509,68350146,68488535,68573743,68927263,69027743,69102892,69290903,69592740,69984402,70146220,70397425,71059989,71081740,71393379,71450323,71813928,71935520,71982846,73109783,73640428,73887340,74020759,74063208,74165087,74232256,74412322,74770371,75209554,75222335,75236659,75275622,75278707,75518284,75832108,76041699,77770138,77840979,77969319,78107700,78361960,78559464,78610659,79099027,79110178,79245442,79599103,80446732,80531079,80696168,80790669,80806183,80927460,81184670,81487703,81808359,82044028,82186242,82587935,82848500,83314880,83321109,83511288,84162220,84175464,84304738,84395644,84476910,84567607,84595225,84814387,84984268,85137292,85298088,85736962,85995983,86183548,86322624,87146727,87164428,87306082,87526419,88157205,88348690,88379397,88614547,88664808,88844098,89043027,89084963,89128588,89266546,89417063,89758540,89775727,90108704,90266802,90333964,90602039,90783189,91705714,91934867,92118323,92382706,92390188,92473210,92673043,92873567,93468412,93488663,93729240,93885455,93950199,94034352,94697397,95074899,95096599,95868335,95960349,96574227,97112952,97421604,97614514,97746088,97962490,98196364,98256247,98555663,98722163,99105522,99418200,99687863,99747909,99892762,99966643,99977856,...,6036580974419761864099227073875211215608759264656688876217689970792053478573162470946387253526026614623352374447738663150507125724867582428020088217524585604982306220194590750143436646877071454519359497933308958448091919884867441465094002134460399778194374658306603838164974657766369646096352120843291362733151811311294263453618121597575605388596729780069966762958798403385980808386373713249100994230355445718716769043940143106791813867396225986824483262033862302118962761250353339359948236654042957164497250666884998204084881277025554178959358850066075186159383922995222036470617201899933150030420303274487974418483259550206453466399671411672446581737776319012070884576773139355314017805662960424480774886460167986696431789401633369897501641833398855697535889433410879831951863531866713498757400182740962097245767998016430765762212372364140696119142660934232841660702007549890164224622792028386041886282502529848234216707103817753728938628007701838964393448184948891982311949274570097250546584131278076286328099989519996948209327780720059971523692042841738597660024129462216855292732864209140318601872572459947296037128997398186124449978700371330343603441209143812663527866511717453930687749146622097827118440376952723943062263780248843800978515136421187791668611980901205041775318180741935921218399976106806064442505274087715121453280861371924780569428732372701188336119705883674612449612606177408406181563594887816648136840971242516149373301806949900522144875437882464975607963961632603441778779535765970985086454557424831534516139652899621651470048349385409798148791600570175941235676124629533756318610501970803428671042289875027779250662211753842961964568716374265858117296822181737360838913251581002861731883334076815236056814152287534083037626432231808891610802372792440887968569783740192150508862781045035912186442563779691507038114673353254307009700809804033643309053993503146853423337882205190565144335050213599218523566885710112659125981881283428245232709979904555544152657495554617267118313540844264476493191165791010134812655147779517487255010048950129856807635562409945344743489220622375061967939131612910060756307769656428089436212170255659748071466385260597052878642330701375581829034050175144826780185722378830177815018067573685899328525432761934124149576042273368665096822344349256419587536978266088694710031981991113141816737170079056174821324916661353798443887090595277785918621927677118566653843303299376662665216345000264341684701385030534061660152028824872492605387777201479970415431825679424087635085683058126948482310765252854353691919087986622448137715435438297470821403779013882788106268098785567270712030791021425988511801128325326119638957762224021316496341352515700323948798187518652204217513670833017721292793605373201334744979987790606911188737378127728847000829997050267229648038317501797831958551161761591679071893649707935131988362756356777771591818450021883599566079814800428176314282364135059000961015175133776495049699540548186719076324451603291327686673110648773122631913828192077925245379428225944360433479735312023671369958507755373293247721255997530019822243995276252817851308736952030709069834837069326988114527075387690252301588406902793028755631433110028277520530189957023816941730443376363877112882551651860890731900642703707973541310660941281989288027118878274041726749316710746973623296417726853913006171590164317802383457180166344143972790398111509066614557992795316969026258203418524963055952219641794497762877554359252413015854246013375475380406813344241372925421610804671724179455920449851407688767123738279522070214794301514989616397251833719138598955831363482613981434186235145645109033125650893833011798891687014524653158410259448537161367884954346614179384228433702553796815759186683689793296726603250509899412667}
23698 251100402143775264794796693848270536064126526845324095302159230004745839707116: {260557,331646,473780,568536,639603,663236,686401,899726,947480,1065915,1136976,1279098,1610036,1677517,2101201,2177732,2934212,3087277,3166286,3227857,3448958,3508801,3929677,4355096,4578206,4617015,4860158,4899483,4924816,5469387,5489816,5540418,5606701,5766452,5885197,6176043,6332036,6511175,6548846,6580177,6708932,6746235,7195984,7391246,7813410,8095482,8121211,8334304,8378701,8450547,9342097,9351806,9376092,9443931,9531572,9753901,10060175,10154859,10468958,10658612,11154776,11242775,11601730,11803201,11972036,12000183,12072210,12347012,12549123,12877024,12909236,13491330,13836301,13922076,14083055,14240977,14320955,14390752,14486652,14779537,14781236,15078427,15182701,15342212,15585217,15676376,16189596,16573900,16805336,16899666,16923335,17185146,17455057,17534283,17635923,18252097,18515636,18782017,18906003,18914317,19048715,19178701,19888680,20047643,20101777,20118650,20233357,20308002,20758957,21152401,21214592,21540610,21545197,21620535,22067917,22198417,22374765,22605566,22858458,23061904,23109901,23150606,23677000,23741115,23866416,24017857,24142380,24238958,24649412,24691928,24727835,25323856,25517338,25751872,25848732,25944642,25946036,26147615,26636625,26720557,26849718,27212450,27359377,27614401,27778419,28412400,28489338,28639490,28885201,28970856,29138497,29265037,29276331,29646158,29673402,30154306,30266187,30306560,30772300,30974867,31377138,31485236,31780717,31963950,32030701,32280397,32592213,32654940,33663758,34094880,34244036,34327815,34367388,34794932,34831936,34852775,35500237,35712452,35745901,36031175,36367872,36453340,36616336,36725677,36926760,36995636,37221899,37361972,37822417,38356740,38554935,39154957,39167331,39185928,39388544,40358797,40913856,40958017,41125264,41193378,41200772,41542605,41823330,41864126,42032077,43077580,43237410,43336897,43388036,43727576,43744008,43839215,44060506,44084169,44106531,44249810,44312112,44611552,44887515,44984977,45102157,45261806,45336301,45570157,45570692,45920401,46028088,46119904,46153537,46265922,46627775,47430637,47553099,47880016,48292532,48789755,48841143,49158097,49193523,49212009,49851126,50186797,50187996,50300737,50698958,50755777,50956286,51030364,51693096,51781599,51884892,51984158,52076200,52091012,52507775,52564417,52607058,52986507,53099772,53315835,53354036,53865018,53908801,54356523,54543758,54688237,54847256,55021201,55953330,55986658,56055236,56072606,56456557,56594612,56870224,57924483,58097617,58154733,58211012,58532497,58547706,58585725,58857901,59107892,59367326,59683552,60183092,60475201,60796717,61010701,61539400,61703163,61972532,62330036,62491440,62627450,62837187,62866052,62943580,62990906,63009330,63079175,63302091,63388958,63580292,63826935,63979002,64472372,64805307,64953224,65437837,65909336,65956417,66576337,66657536,67012376,67143996,67209952,67214823,67296301,67321652,67808401,68023815,68082064,68133939,68364158,68522317,68566715,68611406,68739531,68878535,68920772,69231825,69352286,69453236,69699650,69838801,70107243,70140877,70302870,70609147,70871732,71365083,72038977,72111236,72198815,72558736,72720843,72900520,73037246,73072377,73526126,73617217,73653531,73847280,74008897,74148003,74301901,74502158,74635827,74717528,74745806,74806175,74983057,74989728,75152940,75273901,75291332,75388923,75532296,75611196,75695010,76061751,76389963,76592322,76656635,76932158,77149175,77174366,77581707,77957197,78619201,78770432,78807697,78845116,79980940,80042036,80151819,80163136,80568452,80741344,80769517,80919236,80954701,81231937,81300507,81395015,81628578,81832775,81891303,81988286,82013085,82280058,82334401,82517137,82654242,82671236,82972717,83021252,83078190,83639580,84057219,84363444,84866497,84973833,85045201,85527827,86378615,86638578,86640577,86688692,86990925,87480624,87682775,87908036,88370331,88373643,88616736,88778036,88852175,89215552,89767410,89919400,90017197,90039758,90074499,90162771,90183528,90515636,90526957,90696301,90834012,91133528,91987962,92050535,92143166,92359175,92579010,92790320,92885559,93036877,93312536,93771086,94246467,94397855,94592977,94698158,94746652,94790135,95080371,95191172,95751904,95977128,96421787,96680257,97470097,97634625,97674018,97952450,98199330,98212083,98415702,98641357,98727387,98750944,99336337,99693828,...,8048774632559682485465636098500281620811679019542251834956919961056071304764216627928516338034702152831136499263651550867342834299823443237360117623366114139976408293592787666857915529169428606025812663911078611264122559846489921953458669512613866370925832877742138450886632877021826194795136161124388483644202415081725684604824162130100807184795639706759955683945064537847974411181831617665467992307140594291622358725253524142389085156528301315765977682711816402825283681667137785813264315538723942885996334222513330938779841702700738905279145133421433581545845230660296048627489602533244200040560404365983965891311012733608604621866228548896595442317035092016094512769030852473752023740883947232641033181946890648928575719202177826530002189111198474263381185911214506442602484709155617998343200243654616129661023997355241021016283163152187594825523547912310455547602676733186885632830389371181389181710003373130978955609471757004971918170676935785285857930913265189309749265699426796334062112175037435048437466652693329264279103707626746628698256057122318130213365505949622473723643818945520424802496763279929728049505329864248165933304933828440458137921612191750218037155348956605240916998862162797102824587169270298590749685040331791734638020181894917055558149307868273389033757574322581228291199968142408085923340365450286828604374481829233040759238309830268251114826274511566149932816808236544541575418126517088864182454628323354865831069075933200696193167250509953300810618615510137922371706047687961313448606076566442046021519537199495535293397799180546397531722134093567921647568166172711675091480669294404571561389719833370372334216282338457282619424955165687810823062429575649814451884335441337148975844445435753648075752203050045444050168576309078522147736497056587850624759711653589534011817041393381216248590085039588676050819564471005742679601079738711524412071991337529137897783842940254086859113400284798958031422514280150212167975841711237660310279973206074058870209994072823022824418054459019301990921554388013513083540197039356649673346731933506475743514083213260459657985627496500082623918842150546747675077026208570785914949560340879664095288513680796070504856440935167442438712066900193102373580963171773570420024090098247865771367243682578832199434723031158220129096459132341892783382637688118259613375975988150855755649560105408233095099888881805064591849454127037047891495903569491422205124404399168883553621793333685788912935180040712082213536038433163323473850369601973293887242434239232116846780910744169264643081020337139138255892117315496597516953913917729961095205038685177050808357465047423027616041054695234651349068171100434826185277016298695088661788470020933765265064250024869605623351561110690295057058140497601779659973317054142548251649837503638462667773329400356306197384423335730442611401549015455572095858199610580175984483675142370362122424600029178132754773086400570901752376485513412001281353566845035326732932720730915625435099268804388436915564147531697496842551770922770566993839237634592480577972980416031561826611343673831057663628341330040026429658660368337090468411649269374278759779782759102650819369433850253669735451209203724038340841910813371036694040253276031755922307257835151836150510068869147854309200856938277298055080881255042652384036158504365388968999088947662631497728556969138550674895453552423736511276240221792191963720530815345422152743990393755958701677604558033284074602959522392663683836739145669884021138994684500633840542417792321830567228814406228965572607893933135210251689498317706029426953059068686652821863002444958851465274441817976818641912248313527526812044167534525110682398522249352699537544547012598049548490513272462152239178971244936738395754345582244919724395635471000679865883556}
23699 251987766247905031704926541404746769667904968209379927878143901306467313640418: {497469,592225,710670,758048,829045,852804,994854,1184350,1349589,1421220,1515968,1705464,1918647,2012545,2415054,2722165,2864917,3266598,3667765,3810709,4309214,4401318,4426477,4749429,4803589,4946821,5173437,5230849,5443870,6156020,6296486,6532644,6862270,6867309,7075237,7208065,7290237,7292516,7387224,7643149,7915045,8000798,8234724,8310627,8386165,8649678,8852206,8994980,9498054,9760429,9823269,10063398,10417880,10793976,11086869,11267396,11720115,11914465,11973478,12143223,12501456,12591908,13323265,13539812,13677214,13716829,13943470,14027709,14064138,14297358,14704669,14965045,15335221,15433765,15703437,15853717,15987918,16000244,16096280,16136545,16283137,16732164,17402595,17958054,17988440,18108315,18121909,18476545,18520518,18562768,19177765,19315536,19363854,19595470,20179166,20236995,20516221,20717375,20883114,21006670,21104269,21289729,21586128,21605437,21729978,22158374,22171854,22532888,22913528,23013318,23103421,23144545,23373037,23379044,23514564,23693869,23792389,24284394,24860850,25208004,25349499,25358209,25467637,25542949,25777719,26518240,27077336,27556078,27754837,27773454,28094881,28796437,28827380,29298769,29462869,29596250,29833020,30029917,30177975,30462003,30477944,30667846,30811765,30864910,31654820,31698829,31821888,31848541,32039294,32189840,32198149,32310915,32432545,32914717,33298189,33908349,33945637,34287687,34464976,34592856,34725909,35515500,35696209,35799624,35984606,36006421,36213570,36358437,36381469,36974118,37037892,37466078,37765534,37883200,37985784,38261629,38276007,38465375,38580421,38627808,38773098,38916963,38919054,39035108,39094957,39356545,39564536,39629437,40274577,40354916,40488577,40638037,40818675,41764321,41836184,41895014,41940769,42575854,42618600,42734007,42805045,42959235,43099078,43180861,43456284,43493665,43539920,44469237,44510103,44571838,44640565,45039037,45231459,45459840,45566675,45591169,45770420,45823184,45860629,46158450,46244545,46289221,46297249,46702465,47065707,47227854,47713789,47945925,47991349,48490496,48590341,48982410,49235680,49367197,49761446,50495637,50598349,51081574,51142320,51366054,51406580,51500965,51525349,51551082,52192398,52223108,52247904,53568678,53791237,53846975,54204926,54235045,54551808,54659470,54680010,54924504,55390140,55493454,55764440,56042958,56185006,56834071,56963365,56992126,57085981,57535110,57649880,57670669,58325344,58613461,58635829,58778892,58785109,58808708,59082469,59082816,59093221,59571806,59850020,60365665,60404077,60862561,61240237,61370784,61687896,61790067,61801158,62157997,62734995,62796189,62978918,63149918,63404132,63488894,63787955,64616370,64679774,64856115,65082054,65095250,65113765,65121524,65377837,65423389,65591364,65616012,66090759,66239437,66272737,66374715,66468168,66616261,66692545,66917328,67892709,68356038,68559070,68786629,68924128,69042132,69139969,69179856,69227509,69398883,69806077,70069045,70142744,70394629,70648676,70743265,70799696,70844198,70976686,71087780,71820024,72438798,72475364,72763765,72849829,73115989,73788277,73884865,74171389,74476321,74604440,74776689,75228865,75247789,75281994,76048437,76434429,76545546,76924250,77087398,77154286,77196289,77232644,77465665,77539644,77785214,77827338,77912545,77976237,78063608,78114300,78136518,78151837,78582565,78679475,78689797,78910587,79475365,79649658,79741837,80031054,80590465,80789998,80797527,81191530,81494677,81648469,81815637,81889249,82085461,82270884,82386670,83321920,83765470,83782916,83929995,83979987,84012440,84082854,84108909,84152065,84402788,84891918,85042837,85102580,85305336,86150965,86407076,86816545,86919566,87316518,87821559,88047457,88589665,88661838,88933069,89050989,89424661,89525328,89598421,89619764,90139045,90190909,90274638,90298069,90544414,90698420,90845252,90989086,91125650,91652708,92309100,92958798,93396910,93476324,93495054,93702097,93737160,93941175,94114165,94146877,94299078,94415370,94486359,94513995,94853461,95083437,95153444,95370438,95583757,95883949,95968503,96303649,96708558,96737149,96961124,97429836,97549537,98030246,98204708,98458369,98463040,98556395,98564029,98675029,98864004,99514436,99936157,99976175,99980077,99986304,...,12073161948839523728198454147750422431217518529313377752435379941584106957146324941892774507052053229246704748895477326301014251449735164856040176435049171209964612440389181500286873293754142909038718995866617916896183839769734882930188004268920799556388749316613207676329949315532739292192704241686582725466303622622588526907236243195151210777193459560139933525917596806771961616772747426498201988460710891437433538087880286213583627734792451973648966524067724604237925522500706678719896473308085914328994501333769996408169762554051108357918717700132150372318767845990444072941234403799866300060840606548975948836966519100412906932799342823344893163475552638024141769153546278710628035611325920848961549772920335973392863578803266739795003283666797711395071778866821759663903727063733426997514800365481924194491535996032861531524424744728281392238285321868465683321404015099780328449245584056772083772565005059696468433414207635507457877256015403677928786896369897783964623898549140194501093168262556152572656199979039993896418655561440119943047384085683477195320048258924433710585465728418280637203745144919894592074257994796372248899957400742660687206882418287625327055733023434907861375498293244195654236880753905447886124527560497687601957030272842375583337223961802410083550636361483871842436799952213612128885010548175430242906561722743849561138857464745402376672239411767349224899225212354816812363127189775633296273681942485032298746603613899801044289750875764929951215927923265206883557559071531941970172909114849663069032279305799243302940096698770819596297583201140351882471352249259067512637221003941606857342084579750055558501324423507685923929137432748531716234593644363474721677826503162005723463766668153630472113628304575068166075252864463617783221604745584881775937139567480384301017725562090071824372885127559383014076229346706508614019401619608067286618107987006293706846675764410381130288670100427198437047133771420225318251963762566856490465419959809111088305314991109234534236627081688528952986382331582020269625310295559034974510020097900259713615271124819890689486978441244750123935878263225820121512615539312856178872424340511319496142932770521194105757284661402751163658068100350289653560371444757660355630036135147371798657050865523868248299152084546737330193644688698512839175073956532177389420063963982226283633474340158112349642649833322707596887774181190555571837243855354237133307686606598753325330432690000528683369402770061068123320304057649744985210775554402959940830863651358848175270171366116253896964621530505708707383838175973244896275430870876594941642807558027765576212536197571134541424061582042851977023602256650652239277915524448042632992682705031400647897596375037304408435027341666035442585587210746402669489959975581213822377474756255457694001659994100534459296076635003595663917102323523183358143787299415870263976725512713555543183636900043767199132159629600856352628564728270118001922030350267552990099399081096373438152648903206582655373346221297546245263827656384155850490758856451888720866959470624047342739917015510746586495442511995060039644487990552505635702617473904061418139669674138653976229054150775380504603176813805586057511262866220056555041060379914047633883460886752727754225765103303721781463801285407415947082621321882563978576054237756548083453498633421493947246592835453707826012343180328635604766914360332688287945580796223018133229115985590633938052516406837049926111904439283588995525755108718504826031708492026750950760813626688482745850843221609343448358911840899702815377534247476559044140429588603029979232794503667438277197911662726965227962868372470291290218066251301787666023597783374029049306316820518897074322735769908693228358768456867405107593631518373367379586593453206501019798825334}
23700 252878245824876262171511529021485981206863641970164766961103134692565255942775: {260579,307931,521114,544571,663292,686459,733739,875531,947560,1066005,1137072,1279206,1326472,1372802,1492281,1583411,1677659,1724771,1776525,1799452,1894960,2131830,2273952,2289491,2383499,2524451,2558196,3220072,3228131,3274979,3355034,3555899,3622581,3836531,4202402,4355464,4490219,4899897,5328371,5653619,5868424,6174554,6302939,6332572,6455714,6463821,6601977,6627011,6897916,7017602,7695025,7735139,7859354,8165805,8563211,8700971,8710192,8838659,9067979,9115645,9156412,9234030,9444729,9526019,9720316,9798966,9800459,9849632,10028939,10293405,10439699,10938774,10979632,11080836,11213402,11243725,11395619,11532904,11577299,11668091,11770394,12001197,12352086,12529019,12664072,12890651,12974517,13022350,13097692,13160354,13161539,13278309,13417864,13492470,13882499,14084245,14152331,14247081,14287139,14391968,14780819,14782492,14825651,14915291,15095097,15184019,15228779,15497171,15626820,15720611,15739885,16190964,16242422,16668608,16701371,16757402,16901094,16924765,16968179,17367851,17960217,18684194,18703612,18752184,18827771,18887862,18960059,19063144,19180379,19507802,19716277,20000305,20049337,20120350,20147411,20309718,20515821,20915205,20937916,21096207,21317224,21446037,22309552,22330811,22485550,22504619,22895219,23155259,23203460,23371739,23606402,23692669,23760899,23944072,23981877,24000366,24019979,24063131,24144420,24580331,24694024,25098246,25482659,25754048,25818472,25953899,26668201,26937081,26982660,27361811,27659339,27672602,27780777,27844152,28166110,28253219,28481954,28641910,28781504,28930019,28973304,29045781,29183291,29223805,29393205,29520539,29559074,29562472,30156854,30268749,30365402,30684424,31170434,31324671,31352752,31408019,31510005,31700171,31783571,31825259,32324891,32379192,32594967,32698859,33147800,33237561,33257781,33527579,33610672,33799332,33846670,34188251,34370292,34394291,34519977,34618969,34682411,34764659,34910114,35068566,35271846,35503451,35544419,35790059,35912771,36034225,36117131,36426591,36504194,36606661,36647531,36769739,37031272,37291275,37339091,37564034,37582619,37812006,37828634,37866371,38097430,38357402,39198779,39568525,39777360,40095286,40203554,40237300,40466714,40616004,40642379,41001659,41334117,41439899,41517914,41660181,41678531,42075611,42304802,42392699,42429184,42867371,43081220,43090394,43143731,43241070,43380299,43734611,43931171,43989517,44135834,44166779,44394375,44396834,44441291,44749530,45028211,45106331,45145379,45211132,45340499,45574379,45613331,45716916,45963539,46001769,46080131,46123808,46157819,46196651,46219802,46297365,46301212,46894259,47354000,47435051,47482230,47550731,47732832,48035714,48058941,48284760,48477916,48588611,48793885,48856739,49086251,49298824,49383856,49391819,49455670,50443645,50647712,50684771,50760539,50798411,51034676,51441011,51503744,51554171,51697464,51889284,51892072,52295230,52494371,53273250,53392259,53441114,53578739,53699436,53802251,53951099,53976909,54062651,54320355,54424900,54471059,54718754,54730451,55228802,55461177,55469411,55556838,56199117,56278571,56388611,56461931,56498579,56648301,56681699,56824800,56978676,57047339,57213025,57278980,57448619,57667091,57770402,57941712,58159647,58276994,58378581,58465691,58530074,58538099,58552662,58574291,59292316,59296451,59346804,59440499,60308612,60532374,60613120,60802571,61265891,61337051,61374901,61544600,61550339,61949734,62435939,62753531,62754276,62842521,62970472,63175979,63561434,63667379,63863781,63927900,64061402,64258225,64506131,64560794,64648617,65028011,65184426,65278885,65309880,65444219,65893811,65962859,66582851,66617219,66857757,67327516,67337099,67439651,67849139,68053451,68121491,68189760,68305657,68325419,68488072,68562971,68655630,68734776,69237675,69239531,69589864,69663872,69705550,70147811,70181339,70683299,70841781,70983611,71000474,71150171,71349779,71424904,71491802,71648651,71880659,72062350,72079211,72244451,72735744,72906680,72969131,73232672,73451354,73473615,73510885,73526459,73624571,73853520,73991272,74146619,74439371,74443798,74634179,74642169,74723944,74812525,75644834,76150211,76374491,76622361,76713480,76917539,77049081,77109870,77326623,77331251,77585171,77965091,78288597,78309914,78334662,78371856,78777088,78815699,78847091,79003931,79097939,79255165,80220419,80353017,80717594,80808659,81240251,81271019,81307389,81401905,81827712,81916034,81989205,82020015,82068179,82159811,82250528,82342859,82373339,82386756,82401544,82556051,82708091,82799219,82981259,83011571,83085210,83163011,83240181,83374691,83646660,83728252,83826971,84064154,84064437,84277509,84785819,85488189,85529219,85677299,85854731,86120339,86155160,86297051,86302665,86474820,86649611,86673794,86678939,86776072,87292979,87455152,87488016,87678430,88121012,88164059,88168338,88213062,88310845,88499620,88568099,88624224,88769531,88859725,89171219,89223104,89357709,89599859,89775030,89969954,90204314,90480011,90523612,90536531,90564779,90594205,90672602,90734099,91140314,91141384,91156139,91576379,91840802,92056176,92161691,92239808,92307074,92531844,92701737,92715851,92826299,92909051,93074339,93255550,93321731,93486299,93623219,93787259,94032779,94468377,94724877,94861274,94954451,95035331,95106198,95233341,95492291,95760032,95920259,95993401,96160091,96429949,96540805,96585064,96924555,97007579,97019661,97165571,97559291,97579510,97623081,97642875,97682286,97951211,98133491,98316194,98387046,98424018,98652131,98729651,98807099,98987531,99218939,99372851,99449699,99702252,99730859,99807371,99883811,...,18109742923259285592297681221625633646826277793970066628653069912376160435719487412839161760578079843870057123343215989451521377174602747284060264652573756814946918660583772250430309940631214363558078493799926875344275759654602324395282006403381199334583123974919811514494923973299108938289056362529874088199455433933882790360854364792726816165790189340209900288876395210157942425159121139747302982691066337156150307131820429320375441602188677960473449786101586906356888283751060018079844709962128871493491752000654994612254643831076662536878076550198225558478151768985666109411851605699799450091260909823463923255449778650619360399199014235017339745213328957036212653730319418065942053416988881273442324659380503960089295368204900109692504925500196567092607668300232639495855590595600140496272200548222886291737303994049292297286637117092422088357427982802698524982106022649670492673868376085158125658847507589544702650121311453261186815884023105516893180344554846675946935847823710291751639752393834228858984299968559990844627983342160179914571076128525215792980072388386650565878198592627420955805617717379841888111386992194558373349936101113991030810323627431437990583599535152361792063247439866293481355321130858171829186791340746531402935545409263563375005835942703615125325954542225807763655199928320418193327515822263145364359842584115774341708286197118103565008359117651023837348837818532225218544690784663449944410522913727548448119905420849701566434626313647394926823891884897810325336338607297912955259363672274494603548418958698864954410145048156229394446374801710527823707028373888601268955831505912410286013126869625083337751986635261528885893706149122797574351890466545212082516739754743008585195650002230445708170442456862602249112879296695426674832407118377322663905709351220576451526588343135107736559327691339074521114344020059762921029102429412100929927161980509440560270013646615571695433005150640797655570700657130337977377945643850284735698129939713666632457972486663851801354940622532793429479573497373030404437965443338552461765030146850389570422906687229836034230467661867125185903817394838730182268923308969284268308636510766979244214399155781791158635926992104126745487102150525434480340557167136490533445054202721057697985576298285802372448728126820105995290467033047769258762610934798266084130095945973339425450211510237168524463974749984061395331661271785833357755865783031355699961529909898129987995649035000793025054104155091602184980456086474617477816163331604439911246295477038272262905257049174380845446932295758563061075757263959867344413146306314892412464211337041648364318804296356701812136092373064277965535403384975978358916873286672063949489024057547100971846394562555956612652541012499053163878380816119604004234939963371820733566212134383186541002489991150801688944114952505393495875653485284775037215680949123805395965088269070333314775455350065650798698239444401284528942847092405177002883045525401329485149098621644560157228973354809873983060019331946319367895741484576233775736138284677833081300439205936071014109875523266119879743163767992590059466731985828758453553926210856092127209504511207980964343581226163070756904765220708379086266894299330084832561590569871071450825191330129091631338647654955582672195701928111123920623931982823845967864081356634822125180247950132240920869889253180561739018514770492953407150371540499032431918371194334527199843673978385950907078774610255574889167856658925383493288632663077757239047562738040126426141220440032724118776264832414015172538367761349554223066301371214838566210644382904544968849191755501157415796867494090447841944302558705436935327099376952681499035396675061043573959475230778345611484103654863039842538152685301107661390447277560051069379890179809751529698238001}
23701 253771851741727139896484408216854845921209720405980467658417048219269314822459: {781671,829115,994938,1160663,1184450,1421340,1516096,1658090,1705608,1918809,1989708,2059203,2249315,2368700,2699178,2817563,2842440,3031936,3197745,3385811,3410928,3811031,3837294,4025090,4830108,4947239,5032551,5134871,5231291,5444330,5729834,5846243,6303603,6533196,7335530,7621418,7915715,8542343,8618428,8622395,8802636,8852954,9261831,9498858,9607178,9683571,9893642,10091291,10346874,10461698,10526403,10887740,11081063,11445515,11740631,11789031,12150395,12312040,12592972,13065288,13724540,13734618,13851045,14150474,14416130,14580474,14585032,14698449,14774448,15286298,15830090,15855059,16001596,16372115,16408161,16469448,16621254,16680251,16772330,16820103,17299356,17410151,17655591,17704412,17989960,18123443,18478115,18528129,18652571,18736211,18996108,19520858,19533525,19646538,19740531,20126796,20238705,20835760,20951063,21587952,21607271,22173738,22534792,22591163,23379515,23440230,23794403,23828930,23946956,24246443,24286446,24363633,24497051,25002912,25136103,25173731,25183816,25351641,25867163,26172395,26481383,26646530,26848871,27079624,27107051,27304043,27354428,27433658,27886940,28026291,28055418,28128276,28273619,28331793,28594716,29004325,29261703,29409338,29465363,29930090,30032459,30180525,30464577,30670442,30867530,31406874,31494791,31707434,31975836,32000488,32192560,32273090,32345363,32402363,32566274,32745683,32801171,32917511,33464328,33728325,34418711,34805190,35409603,35428103,35836091,35916108,35976880,36000549,36216630,36243818,36953090,37041036,37125536,37215623,37647369,38355530,38631072,38727708,38899211,39098279,39190940,39895763,40117571,40358332,40473990,41032442,41290331,41434750,41508903,41766228,42013340,42208538,42249165,42553043,42579458,42722931,42879383,42962865,43136471,43172256,43210874,43459956,44316748,44338611,44343708,44644619,45065776,45235281,45251939,45405563,45548103,45595043,45827056,46026636,46203131,46206842,46289090,46746074,46755651,46758088,46806419,47029128,47387738,47584778,48026771,48568788,49023431,49721700,49884131,49959083,50296625,50416008,50698998,50716418,50770005,50859563,50935274,51085898,51555438,51941399,52365171,52602849,52609211,52907769,53036480,53271971,53851525,54051563,54154672,54705443,54756291,55099163,55112156,55509674,55546908,56189762,56346051,56513915,56718009,56742951,57146145,57536103,57592874,57654760,57876515,58343051,58597538,58925738,59021099,59192500,59666040,59870663,59927063,60059834,60142929,60305331,60355950,60597395,60700071,60891131,60924006,60955888,61335692,61623530,61729820,61978811,62276871,62496791,63309640,63397658,63457203,63643776,63697082,63793345,64078588,64379680,64396298,64621830,64635591,64742363,64809971,64861605,64865090,65059979,65383451,65829434,66203751,66595251,66596378,67124295,67510439,67641131,67816698,67891274,68031125,68575374,68929952,69185712,69329703,69451818,69837443,71031000,71223345,71392418,71598725,71599248,71969212,72012842,72053571,72101351,72417251,72427140,72716874,72762938,73459451,73948236,74075784,74115395,74183505,74482643,74932156,75249431,75254183,75385765,75531068,75766400,75929063,75971568,76378859,76523258,76552014,76930750,77160842,77255616,77274083,77546196,77833926,77838108,78070216,78158471,78189914,78282971,78442845,78713090,79129072,79258874,79612619,79748711,79909875,80161671,80549154,80709832,80906411,80977154,81276074,81637350,82078131,82498091,82520171,82843203,83335257,83528642,83672368,83736131,83790028,83881538,84159395,84197651,84511931,84581963,84868019,85151708,85237200,85468014,85610090,85918470,86198156,86361722,86655603,86912568,86987330,87079840,87415491,87795111,87828993,88054931,88938474,89020206,89143676,89281130,89303137,89790971,90078074,90462918,90798561,90919680,91133350,91159271,91182338,91540840,91646368,91721258,92316900,92489090,92578442,92594498,92924601,93262163,93369563,93404930,93710051,94131414,94455708,95342151,95427578,95591879,95891850,95982698,96092103,96311891,96841191,96980992,97180682,97183559,97776639,97818011,97964820,98096663,98272931,98471360,98734394,99040571,99395783,99481211,99522892,...,24146323897679047456396908295500844862435037058626755504870759883168213914292649883785549014104106458493409497790954652602028502899470329712080352870098342419929224880778363000573746587508285818077437991733235833792367679539469765860376008537841599112777498633226415352659898631065478584385408483373165450932607245245177053814472486390302421554386919120279867051835193613543923233545494852996403976921421782874867076175760572427167255469584903947297933048135449208475851045001413357439792946616171828657989002667539992816339525108102216715837435400264300744637535691980888145882468807599732600121681213097951897673933038200825813865598685646689786326951105276048283538307092557421256071222651841697923099545840671946785727157606533479590006567333595422790143557733643519327807454127466853995029600730963848388983071992065723063048849489456562784476570643736931366642808030199560656898491168113544167545130010119392936866828415271014915754512030807355857573792739795567929247797098280389002186336525112305145312399958079987792837311122880239886094768171366954390640096517848867421170931456836561274407490289839789184148515989592744497799914801485321374413764836575250654111466046869815722750996586488391308473761507810895772249055120995375203914060545684751166674447923604820167101272722967743684873599904427224257770021096350860485813123445487699122277714929490804753344478823534698449798450424709633624726254379551266592547363884970064597493207227799602088579501751529859902431855846530413767115118143063883940345818229699326138064558611598486605880193397541639192595166402280703764942704498518135025274442007883213714684169159500111117002648847015371847858274865497063432469187288726949443355653006324011446927533336307260944227256609150136332150505728927235566443209491169763551874279134960768602035451124180143648745770255118766028152458693413017228038803239216134573236215974012587413693351528820762260577340200854396874094267542840450636503927525133712980930839919618222176610629982218469068473254163377057905972764663164040539250620591118069949020040195800519427230542249639781378973956882489500247871756526451640243025231078625712357744848681022638992285865541042388211514569322805502327316136200700579307120742889515320711260072270294743597314101731047736496598304169093474660387289377397025678350147913064354778840127927964452567266948680316224699285299666645415193775548362381111143674487710708474266615373213197506650660865380001057366738805540122136246640608115299489970421551108805919881661727302717696350540342732232507793929243061011417414767676351946489792550861741753189883285615116055531152425072395142269082848123164085703954047204513301304478555831048896085265985365410062801295795192750074608816870054683332070885171174421492805338979919951162427644754949512510915388003319988201068918592153270007191327834204647046366716287574598831740527953451025427111086367273800087534398264319259201712705257129456540236003844060700535105980198798162192746876305297806413165310746692442595092490527655312768311700981517712903777441733918941248094685479834031021493172990885023990120079288975981105011271405234947808122836279339348277307952458108301550761009206353627611172115022525732440113110082120759828095267766921773505455508451530206607443562927602570814831894165242643765127957152108475513096166906997266842987894493185670907415652024686360657271209533828720665376575891161592446036266458231971181267876105032813674099852223808878567177991051510217437009652063416984053501901521627253376965491701686443218686896717823681799405630755068494953118088280859177206059958465589007334876554395823325453930455925736744940582580436132502603575332047195566748058098612633641037794148645471539817386456717536913734810215187263036746734759173186906413002039597650668}
23702 254668594903154179827842711978814348821082463399587354083064392533057576127112: {307957,521158,615862,733801,1042228,1089142,1326584,1372918,1467478,1492407,1724917,1751062,1776675,1866217,1895120,2132010,2274144,2430697,2487135,2558412,2571637,2652944,2745604,2960875,2984562,3166822,3275257,3355318,3449542,3553050,3598904,3789920,3836857,4048767,4263660,4537237,4547904,4578982,4766998,5048902,5116392,5375317,5755941,6037635,6349801,6440144,6456262,6549958,6710068,7111798,7245162,7673062,7735801,8166495,8404804,8594751,8710928,8980438,9526837,9799794,10075477,10656742,10773035,11003295,11307238,11432127,11578297,11736848,12349108,12605878,12665144,12761903,12911428,12927642,13203954,13207801,13254022,13279431,13609675,13795832,14035204,14248287,14410767,14557801,14826937,14840463,15230101,15390050,15470278,15498517,15520311,15692547,15718708,15741215,15900601,16302037,16331610,16969657,17126422,17155675,17401942,17420384,17677318,18135958,18231290,18312824,18468060,18889458,19052038,19440632,19597932,19600918,19699264,19717943,20001995,20057878,20586810,20601927,20879398,20937577,21225711,21624195,21870711,21877548,21959264,22035839,22130515,22161672,22426804,22487450,22791238,22929447,23065808,23154598,23336182,23417077,23540788,23694671,23745135,23806201,24002394,24065257,24704172,24931881,25058038,25158495,25328144,25484917,25781302,25949034,25998997,26044700,26195384,26320708,26323078,26383801,26556618,26835728,26984940,27023701,27764998,28000427,28043797,28168490,28304662,28494162,28574278,28783936,29281287,29469807,29561638,29564984,29565301,29651302,29830582,29933695,30190194,30368038,30457558,30994342,31201897,31253640,31441222,31479770,31503439,31703017,31828117,32381928,32484844,33260607,33337216,33402742,33514804,33802188,33849530,33936358,33943801,34191337,34193035,34314997,34735702,34858675,34932217,35160345,35547637,35743395,35920434,36429669,36650857,37368388,37383097,37407224,37504368,37655542,37775724,37920118,38126288,38234101,38360758,38597737,39015604,39432554,39969795,40000610,40045801,40098674,40240700,40294822,40619436,40646101,40913327,41031642,41150487,41830410,41875832,42083127,42192414,42436201,42634448,42892074,43974517,44114007,44445397,44619104,44661622,44895135,44971100,45009238,45149557,45617557,45790438,46005663,46200937,46301295,46310518,46406920,46743478,46898617,47110311,47212804,47362297,47385338,47521798,47561151,47709301,47888144,47963754,48000732,48039958,48126262,48288840,48409635,48631477,48674791,48849411,48988675,49160662,49388048,49434601,50196492,50447915,50803177,50916757,50965318,51508096,51636944,51907798,51987611,52207785,52516675,53336402,53732857,53874162,53965320,54324945,54365727,54723622,55318678,55345204,55395935,55429635,55561554,55688304,56173801,56332220,56393977,56503957,56506438,56963908,57052777,57283820,57533295,57563008,57860038,57946608,58091562,58366582,58447610,58579897,58786410,59041078,59118148,59124944,60313708,60537498,60710985,60730804,61271797,61368848,61548663,61591801,62152125,62340868,62649342,62705504,62816038,63020010,63182101,63312807,63400342,63567142,63650518,63869187,64023637,64649782,64758384,64816311,65069077,65189934,65277301,65397718,66295600,66475122,66515562,66623737,66829801,67055158,67221344,67548757,67598664,67693340,68060137,68311439,68366101,68376502,68740584,68788582,68890195,69039954,69237938,69310263,69364822,69433635,69529318,69583477,69820228,70119111,70137132,70188277,70543692,70621103,71006902,71081607,71088838,71190517,71377167,71390101,71580118,71688937,71825542,72068450,72234262,72581557,72853182,72877801,73008388,73213322,73295062,73539478,73566517,73860601,73990625,74062544,74154037,74582550,74641657,74678182,75128068,75165238,75624012,75657268,75732742,76048497,76074627,76194860,76402911,76628847,76669615,76714804,77052757,77162275,77333157,77909737,78397558,78855097,79137050,79137301,79554720,80098235,80190572,80259637,80352697,80407108,80474600,80933428,81232008,81279337,81284758,81923701,82003318,82198777,82381801,82668234,82838101,82879798,83020117,83035828,83264511,83320362,83357062,84151222,84284643,84609604,84785398,84858368,85734742,86158777,86162440,86180788,86287462,86389311,86482140,86687977,86760598,87302101,87469222,87862342,87896307,87979034,88173301,88271668,88333558,88388607,88606201,88788750,88793668,88882582,89499060,89637817,89723317,89961515,90056422,90089751,90212662,90290758,90422264,90489577,90533925,90574357,90680998,91148758,91226662,91386009,91390439,91433832,91927078,92003538,92160262,92247616,92254837,92315638,92393302,92435295,92439604,92594730,92602424,93660601,93665195,93788518,93824617,94413835,94708000,94870102,94964460,95096487,95101462,95126377,95465664,95545623,95930617,96071428,96117882,96330037,96569520,96594447,96932745,96955832,97177222,97297635,97587770,97713478,97831417,98172502,98597648,98744151,98767712,98783638,98911340,98998357,99460597,99843817,99894567,...,36219485846518571184595362443251267293652555587940133257306139824752320871438974825678323521156159687740114246686431978903042754349205494568120529305147513629893837321167544500860619881262428727116156987599853750688551519309204648790564012806762398669166247949839623028989847946598217876578112725059748176398910867867765580721708729585453632331580378680419800577752790420315884850318242279494605965382132674312300614263640858640750883204377355920946899572203173812713776567502120036159689419924257742986983504001309989224509287662153325073756153100396451116956303537971332218823703211399598900182521819646927846510899557301238720798398028470034679490426657914072425307460638836131884106833977762546884649318761007920178590736409800219385009851000393134185215336600465278991711181191200280992544401096445772583474607988098584594573274234184844176714855965605397049964212045299340985347736752170316251317695015179089405300242622906522373631768046211033786360689109693351893871695647420583503279504787668457717968599937119981689255966684320359829142152257050431585960144776773301131756397185254841911611235434759683776222773984389116746699872202227982061620647254862875981167199070304723584126494879732586962710642261716343658373582681493062805871090818527126750011671885407230250651909084451615527310399856640836386655031644526290728719685168231548683416572394236207130016718235302047674697675637064450437089381569326899888821045827455096896239810841699403132869252627294789853647783769795620650672677214595825910518727344548989207096837917397729908820290096312458788892749603421055647414056747777202537911663011824820572026253739250166675503973270523057771787412298245595148703780933090424165033479509486017170391300004460891416340884913725204498225758593390853349664814236754645327811418702441152903053176686270215473118655382678149042228688040119525842058204858824201859854323961018881120540027293231143390866010301281595311141401314260675954755891287700569471396259879427333264915944973327703602709881245065586858959146994746060808875930886677104923530060293700779140845813374459672068460935323734250371807634789677460364537846617938568536617273021533958488428798311563582317271853984208253490974204301050868960681114334272981066890108405442115395971152596571604744897456253640211990580934066095538517525221869596532168260191891946678850900423020474337048927949499968122790663322543571666715511731566062711399923059819796259975991298070001586050108208310183204369960912172949234955632326663208879822492590954076544525810514098348761690893864591517126122151514527919734688826292612629784824928422674083296728637608592713403624272184746128555931070806769951956717833746573344127898978048115094201943692789125111913225305082024998106327756761632239208008469879926743641467132424268766373082004979982301603377888229905010786991751306970569550074431361898247610791930176538140666629550910700131301597396478888802569057885694184810354005766091050802658970298197243289120314457946709619747966120038663892638735791482969152467551472276569355666162600878411872142028219751046532239759486327535985180118933463971657516907107852421712184254419009022415961928687162452326141513809530441416758172533788598660169665123181139742142901650382660258183262677295309911165344391403856222247841247863965647691935728162713269644250360495900264481841739778506361123478037029540985906814300743080998064863836742388669054399687347956771901814157549220511149778335713317850766986577265326155514478095125476080252852282440880065448237552529664828030345076735522699108446132602742429677132421288765809089937698383511002314831593734988180895683888605117410873870654198753905362998070793350122087147918950461556691222968207309726079685076305370602215322780894555120102138759780359619503059396476002}
23703 255568486251641877779908070065327057929513325703515294000089562594974259171721: {781737,923793,1160761,1302785,1563342,1633713,1658230,1989876,2059377,2201217,2321326,2368900,2626593,2842680,3032192,3149041,3198015,3316180,3411216,3432005,3837618,3979416,4001413,4118406,4476843,4498630,4737400,4750233,5032977,5174313,5329575,5398356,5635126,5684880,5846737,5988257,6063872,6395490,6771622,6821856,6840341,6868473,7150497,7548497,7573353,7622062,7674588,8050180,8387585,9252233,9660216,9684393,9824937,9894478,10065102,10269742,10462582,10506005,10667697,10867743,10888660,11082001,11459668,11509593,11692486,12071353,12607206,13066392,13470657,14671060,14699691,15242836,15337817,15436385,15831430,15985113,16023721,16139285,16960857,17010553,17084686,17236856,17244790,17544005,17605272,17705908,18523662,18737797,18908817,18997716,19214356,19367142,19391463,19648385,19787284,19805931,19881033,20182582,20575633,20693748,20923396,21052806,21293333,21555017,21775480,22162126,22891030,22920961,23085075,23107337,23205417,23481262,23578062,23697881,24300790,24497415,24624080,25185944,25547273,25689633,25869361,26102913,26130576,26515977,27203937,27346935,27379057,27449080,27469236,27702090,28033505,28099637,28300948,28334187,28578057,28801313,28832260,29160948,29170064,29396898,29401377,29425985,29548896,29750773,30086817,30572596,30880215,31319097,31497457,31660180,31710118,32003192,32203601,32348101,32555875,32731321,32744230,32816322,32900885,32938896,33242508,33303833,33360502,33414277,33544660,33640206,33731175,33951401,34186857,34598712,34731897,34820302,35004273,35311182,35408824,35979920,36003591,36246886,36641353,36956230,37056258,37305142,37472422,37584193,37587057,37992216,38553497,38671953,38902513,38923551,39041716,39067050,39293076,39481062,39484617,39834927,40253592,40477410,40606055,41647497,41671520,41893505,41902126,42252735,42456993,42741243,42861417,43175904,43214542,44342457,44347476,44476953,44745873,45069584,45182326,45285291,45552057,45686337,46148017,46207057,46491513,46710485,46759030,46880460,47161833,47219655,47588806,47657860,47893912,48492886,48572892,48598577,48727266,48769505,48994102,50005824,50104113,50272206,50300875,50347462,50367632,50703282,50774295,50904537,51302357,51734326,52103553,52152281,52344790,52962766,53293060,53404537,53697742,53880651,54159248,54214102,54608086,54708856,54845621,54867316,55316677,55773880,56052582,56110836,56213875,56256552,56483313,56547238,56663586,56843041,56880177,57095657,57189432,57541137,57779257,58008650,58501921,58523406,58795073,58818676,58930726,58953973,59016005,59148831,59619221,59860180,60000915,60064918,60125417,60148011,60361050,60442233,60929154,61250633,61340884,61547463,61735060,61900177,62745615,62813748,62989582,63288621,63414868,63724693,63951672,64000976,64338111,64385120,64546180,64690726,64804726,65132548,65491366,65602342,65835022,66928656,66992433,67456650,67513857,67971433,68685657,68837422,69181505,69465777,69610380,70115217,70415275,70819206,70856206,70953137,71078007,71204885,71282697,71604775,71672182,71832216,71945631,71953760,72001098,72059937,72189393,72433260,72487636,73128401,73740993,73897685,73906180,74082072,74251072,74431246,75294738,75392135,75414977,75913505,76447977,76711060,77209397,77262144,77455416,77798422,77861697,77926085,78196558,78381880,79119481,79619377,79791526,80004603,80104657,80235142,80640737,80716664,80811243,80947980,81027121,82064884,82085433,82580662,82869500,82978017,83017806,83342331,83532456,84026680,84417076,84498330,84616675,84759657,84836353,85106086,85158916,85445862,85758766,85925730,86272942,86344512,86421748,86790057,86919912,87137343,87275285,87549873,87671415,87744901,88179615,88561617,88633496,88677222,88687416,89289238,89310683,89798593,90131552,90470562,90503878,90528281,90625337,90806247,90811126,91096206,91190086,91260485,91654112,92053272,92142017,92406262,92413684,92578180,93492148,93511302,93512501,93516176,93612838,93910085,93974013,94058256,94103257,94224057,94530015,94571585,94775476,95005381,95100513,95169556,95243575,95265161,95350713,95475777,95893505,96053542,96974673,97137576,97566101,97784901,98046862,98096577,98281273,98580761,99443400,99712683,99768262,99773343,99918166,...,54329228769777856776893043664876900940478833381910199885959209737128481307158462238517485281734239531610171370029647968354564131523808241852180793957721270444840755981751316751290929821893643090674235481399780626032827278963806973185846019210143598003749371924759434543484771919897326814867169087589622264598366301801648371082563094378180448497370568020629700866629185630473827275477363419241908948073199011468450921395461287961126324806566033881420349358304760719070664851253180054239534129886386614480475256001964983836763931493229987610634229650594676675434455306956998328235554817099398350273782729470391769766349335951858081197597042705052019235639986871108637961190958254197826160250966643820326973978141511880267886104614700329077514776500589701277823004900697918487566771786800421488816601644668658875211911982147876891859911351277266265072283948408095574946318067949011478021605128255474376976542522768634107950363934359783560447652069316550679541033664540027840807543471130875254919257181502686576952899905679972533883950026480539743713228385575647378940217165159951697634595777882262867416853152139525664334160976583675120049808303341973092430970882294313971750798605457085376189742319598880444065963392574515487560374022239594208806636227790690125017507828110845375977863626677423290965599784961254579982547466789436093079527752347323025124858591354310695025077352953071512046513455596675655634072353990349833231568741182645344359716262549104699303878940942184780471675654693430976009015821893738865778091016823483810645256876096594863230435144468688183339124405131583471121085121665803806867494517737230858039380608875250013255959905784586657681118447368392723055671399635636247550219264229025755586950006691337124511327370587806747338637890086280024497221355131967991717128053661729354579765029405323209677983074017223563343032060179288763087307288236302789781485941528321680810040939846715086299015451922392966712101971391013932133836931550854207094389819140999897373917459991555404064821867598380288438720492119091213313896330015657385295090440551168711268720061689508102691402985601375557711452184516190546806769926907852804925909532300937732643197467345373475907780976312380236461306451576303441021671501409471600335162608163173093956728894857407117346184380460317985871401099143307776287832804394798252390287837920018276350634530711505573391924249952184185994983815357500073267597349094067099884589729694389963986947105002379075162312465274806554941368259423852433448489994813319733738886431114816788715771147523142536340796887275689183227271791879602033239438918944677237392634011124945092956412889070105436408277119192833896606210154927935076750619860016191848467072172641302915539183687667869837957623037497159491635142448358812012704819890115462200698636403149559623007469973452405066832344857516180487626960455854325111647042847371416187895264807210999944326366050196952396094718333203853586828541277215531008649136576203988455447295864933680471686920064429621949180057995838958103687224453728701327208414854033499243901317617808213042329626569798359639229491303977770178400195957486275360661778632568276381628513533623942893030743678489212270714295662125137258800682897990254497684771709613214352475573990387274894015942964866748016587105784333371761871795948471537903592244069904466375540743850396722762609667759541685217055544311478860221451114621497097295755113583003581599531021935157852721236323830766724667503569976776150479865897989233271717142688214120379278423661320098172356328794497242045517615103284048662669198904113644515698631933148713634906547575266503472247390602482271343525832907676116310805981298130858044497106190025183130721878425692335036834452310964589119527614458055903322984171341832680153208139670539429254589094714003}
23704 256471536767592803498289323433384673532937494487451977585009323087156660436491: {402679,615914,970183,1042316,1231724,1467602,1677943,2084456,2178284,2345013,2383903,2487345,2653168,2745836,2934956,2961125,2984814,3228679,3449834,3481989,3502124,3553350,3732434,3790240,3930679,4070863,4145225,4264020,4548288,4861394,4974270,5116824,5143274,5305888,5491208,5756427,5921750,5969124,6025879,6177609,6333644,6550514,6710636,6747945,6899084,7106100,7197808,7579840,7673714,8097534,8104879,8452689,8527320,8931943,9074474,9095808,9157964,9533996,9593235,10062725,10097804,10157433,10232784,10750634,11433093,11511882,11670103,12075270,12699602,12880288,12912524,13099916,13420136,13569679,13610825,14223596,14244679,14324585,14490324,14783383,14841717,14917879,15082249,15097653,15346124,15404613,15471602,15589279,15693873,15723343,16125103,16332990,16809608,17060023,17189502,17421856,17459623,17538729,17960876,18256879,18338825,18910809,18919279,19053545,19053674,19599588,20150954,20238679,21313484,21546070,21681703,22006590,22037701,22132385,22204279,22334743,22614476,22864254,22985983,23156594,23473696,23747145,24017945,24024223,24670783,24698216,24734105,25211756,25330288,25523806,25627029,25822856,25855284,25867185,26154245,26215183,26407908,26415602,26508044,26558862,26855623,27219350,27494263,27591664,27785493,28002793,28070408,28496574,28821534,29050713,29115602,29272879,29653874,29680926,30273873,30408823,30460202,30780100,30940556,30982721,30997034,31040622,31385094,31437416,31482430,31506101,31579209,31789279,31801202,31914343,32604074,32663220,33243189,33533623,33939314,34252844,34311350,34336545,34770943,34803884,34840768,35221893,35354636,35367093,35376185,35632783,36040325,36123679,36271916,36451185,36462580,36625648,36735679,36936120,37231337,37778916,38104076,38215745,38881264,39195864,39201836,39398528,39435886,39575225,39648223,39889063,40003990,40115756,41173620,41203854,41447503,41553135,41758796,41875154,41907173,41930825,42043663,42451422,43248390,43467103,43741422,43755096,43918528,44071678,44095347,44261030,44323344,44853608,44974900,45114679,45582476,45858894,46131616,46166383,46309196,46672364,46834154,47081576,47389342,47490270,47559583,47565177,47612402,47870249,48004788,48021679,48130514,48802145,49116345,49171879,49224483,49408344,49863762,50040753,50116076,50314879,50316990,50460309,50656288,50770063,50969834,51562604,51898068,51997994,52089400,52230453,52390768,52579279,52641416,52646156,52767602,52966773,53113236,53671456,53969880,54047402,54370329,54401237,55434345,55529996,55584387,55957713,56000854,56087594,56208633,56336980,56472679,56582623,56609324,56988324,57148556,57459583,57524753,57567872,58549303,58562574,58600575,58939614,59123276,59129968,59130602,59221593,59302604,59572325,59661164,59867390,60277879,60380388,60716115,60736076,60915116,61348879,61988684,62306623,62403794,62507280,62518663,62836183,62853189,62882444,62959540,63006878,63406034,63656234,64763856,64821813,64969688,65975743,66521214,66616325,66674432,66805484,67029608,67604376,67699060,67773489,67872716,67887602,68134879,68382674,68386070,68542543,68584145,68629994,69151879,69471404,69717350,69864434,70138545,70320690,70627081,71095274,71164279,71383209,71486790,71662879,71840868,72060463,72739329,72859338,73090899,73301714,73491153,73523345,74736776,74766194,74814448,74825225,75008736,75102679,75311084,75408309,75521193,75551448,75840236,76054923,76252576,76453903,76468202,76645783,76676105,76721516,77168825,77195474,77410423,77554309,77601489,78031208,78517185,78865108,78925879,79268585,79444149,79939590,80001220,80091602,80197348,80481400,80546613,80589644,80682725,80794279,80886943,81238872,81292202,81321153,81415685,81826654,81912129,82063284,82300974,82542583,82998343,83180143,83660820,83751664,84078873,84166254,84384828,84820857,84872402,84995379,85268896,85784148,86315023,86755663,87012975,87106879,87631543,87785109,87949034,88228014,88396089,88890794,88931863,89189983,89238208,89323244,89361703,89790270,89942200,90018476,90097377,90299114,90541575,90555679,90609545,90640423,91235114,91393731,91580876,92011326,92382725,92401874,92569663,92602590,92621036,92813840,93149263,93486956,93561103,93797234,94220622,94425608,94484373,94704679,94724594,94770676,95043596,95122302,95418602,95776288,95888825,95927508,96001464,96079916,96252524,96446273,96577680,96819270,97028623,97036089,97207089,97262954,97349582,97580503,97698822,97972543,97977350,98206903,98237049,98321324,98403513,98751223,98752533,98776096,98869202,99060679,99752743,...,72438971693037142369190724886502534587305111175880266514612279649504641742877949651356647042312319375480228493372863957806085508698410989136241058610295027259787674642335089001721239762524857454232313975199707501377103038618409297581128025613524797338332495899679246057979695893196435753156225450119496352797821735735531161443417459170907264663160757360839601155505580840631769700636484558989211930764265348624601228527281717281501766408754711841893799144406347625427553135004240072319378839848515485973967008002619978449018575324306650147512306200792902233912607075942664437647406422799197800365043639293855693021799114602477441596796056940069358980853315828144850614921277672263768213667955525093769298637522015840357181472819600438770019702000786268370430673200930557983422362382400561985088802192891545166949215976197169189146548468369688353429711931210794099928424090598681970695473504340632502635390030358178810600485245813044747263536092422067572721378219386703787743391294841167006559009575336915435937199874239963378511933368640719658284304514100863171920289553546602263512794370509683823222470869519367552445547968778233493399744404455964123241294509725751962334398140609447168252989759465173925421284523432687316747165362986125611742181637054253500023343770814460501303818168903231054620799713281672773310063289052581457439370336463097366833144788472414260033436470604095349395351274128900874178763138653799777642091654910193792479621683398806265738505254589579707295567539591241301345354429191651821037454689097978414193675834795459817640580192624917577785499206842111294828113495554405075823326023649641144052507478500333351007946541046115543574824596491190297407561866180848330066959018972034340782600008921782832681769827450408996451517186781706699329628473509290655622837404882305806106353372540430946237310765356298084457376080239051684116409717648403719708647922037762241080054586462286781732020602563190622282802628521351909511782575401138942792519758854666529831889946655407205419762490131173717918293989492121617751861773354209847060120587401558281691626748919344136921870647468500743615269579354920729075693235877137073234546043067916976857596623127164634543707968416506981948408602101737921362228668545962133780216810884230791942305193143209489794912507280423981161868132191077035050443739193064336520383783893357701800846040948674097855898999936245581326645087143333431023463132125422799846119639592519951982596140003172100216416620366408739921824345898469911264653326417759644985181908153089051621028196697523381787729183034252244303029055839469377652585225259569649856845348166593457275217185426807248544369492257111862141613539903913435667493146688255797956096230188403887385578250223826450610164049996212655513523264478416016939759853487282934264848537532746164009959964603206755776459810021573983502613941139100148862723796495221583860353076281333259101821400262603194792957777605138115771388369620708011532182101605317940596394486578240628915893419239495932240077327785277471582965938304935102944553138711332325201756823744284056439502093064479518972655071970360237866927943315033814215704843424368508838018044831923857374324904652283027619060882833516345067577197320339330246362279484285803300765320516366525354590619822330688782807712444495682495727931295383871456325426539288500720991800528963683479557012722246956074059081971813628601486161996129727673484777338108799374695913543803628315098441022299556671426635701533973154530652311028956190250952160505704564881760130896475105059329656060690153471045398216892265205484859354264842577531618179875396767022004629663187469976361791367777210234821747741308397507810725996141586700244174295837900923113382445936414619452159370152610741204430645561789110240204277519560719239006118792952004}
23705 257377757469458138676377113790934132494638114458702169767720000425171526399348: {923871,1302895,1539655,1563474,1823899,1847586,2201403,2321522,2605570,2722855,3126684,3267426,3316460,3432295,3668695,3979752,4118754,4377655,4402434,4427599,4477221,4642652,4737800,4804807,5174751,5253186,5330025,5598651,5685360,5988763,6064384,6298082,6396030,6632360,6822432,6840919,6864010,7077031,7292091,7461405,7645087,7675236,7714911,7917055,7958832,8002826,8069083,8236812,8388295,8623855,8882625,8920951,8953686,8997260,9474800,9500466,9825771,10065954,10340731,10348626,10659150,10796712,11270252,11369760,11447455,11510571,11693474,11742619,11917495,11976514,12127744,12146301,12622255,12790980,13543244,13611711,13643712,13680682,13736946,14300994,14708407,15096994,15146706,15244124,15349176,15857743,16100360,16125951,16140655,16374895,16775170,17267823,17413099,17779495,18112905,18126511,18449563,18504466,19049403,19182655,19320432,19368786,19649874,19788956,20130204,20539484,20925164,21012010,21335394,21610939,21735486,21777320,22164002,22451095,22594999,22919336,23019186,23207403,23384972,23699887,23798431,24142706,24499485,24501199,24561607,25214412,25474111,25784253,26132784,26211823,26485867,26641855,26941314,27308671,27507739,28268095,28580511,28803751,29311183,29342120,29399382,29470351,30037543,30226431,30485672,30675634,30872770,31514695,31662860,31706887,31970226,32047442,32056411,32206327,32278570,32319105,32923099,33009885,33135055,33921714,33954283,34021106,34169372,34296381,34424539,34473712,34489580,34734891,35088010,35210544,35411816,35500399,35705287,35842159,36308551,37047324,37221931,37475594,37817634,37995432,38285709,38428712,38475125,38675695,38734284,38782926,39246907,39296770,39574568,39611862,39623403,39639511,39710263,39762066,39838293,40124383,40365164,40648399,40829025,41151266,41196379,41387496,41846792,42105612,42191083,42586666,42744861,42816055,42886651,42893839,43110034,43232301,43504855,43550960,43673403,44193295,44324252,44480811,44521389,45050491,45339895,45578225,45690303,45782060,45841922,45872287,46061239,46170150,46214674,46410834,46495551,46560933,46962524,47077641,47156124,47223645,47395762,47630095,47701803,48294871,48601580,48906111,48994830,49002295,49248160,49967551,50144695,50371888,50868199,50908971,50917999,51094546,51379266,51467025,51538447,51738722,51950203,52198495,52205826,52261152,52461439,53031954,53804911,54407874,54693870,54758114,54778663,54898160,54938472,55404180,55646287,56067010,56199274,56218625,56601896,56668374,56788351,56848477,56978095,57156114,57602626,57664520,57886495,58321896,58340128,58340455,58650907,58793796,58802754,58851970,59031103,59097792,59153829,59501546,59624287,59880811,60005985,60173634,60419479,61145192,61298047,61760430,61805781,62638194,62645095,62804239,62812731,62994914,63320360,63420236,63677133,64006384,64407202,64453255,64696202,64872585,65111750,65394679,65440027,65462642,65488460,65612133,65632644,65801770,65807695,65877792,66107517,66289591,66391545,66485016,66607666,66633247,66721004,66828554,67089320,67280412,67462350,67785883,67902802,68277307,68373714,68679223,68788341,69197424,69412495,69463794,69640604,70008546,70251231,70421225,70622364,70761655,70817648,71057311,71084013,71235405,71351599,71418603,71435695,71537887,71959840,72007182,72195771,72493772,73282706,73775311,73904095,73912460,74112516,74128255,74495287,74576455,74610284,74795643,74944844,75168386,75174114,75475485,75920095,75984432,76143895,76294759,76454751,77106994,77215951,77343906,77485855,77805026,77847102,77996991,78083432,78134100,78171739,78586152,78603055,78699425,78962124,78969234,79151403,79669854,80246143,80507184,80954820,81071103,81212110,81723163,82534183,82622407,83294994,83343040,83506855,83787010,83804252,84001281,84131391,84505470,84623825,84840895,84913986,85482486,85722834,86351808,86429084,86584399,86730967,86839255,87843861,88069879,88409421,88684914,88694952,88695903,88735303,88953906,89126791,89491746,89801085,90139168,90364652,90570582,91104114,91325887,91372674,92296034,92414114,92983026,93277999,93420970,93518060,93520447,93542311,93605691,93725959,93760920,94138855,94171099,94323666,94439310,94510317,94800295,94877647,95109051,95177612,95315720,95484351,95686063,95787824,95901895,96062359,96854107,96985772,97145784,97197154,97454532,97539010,97574383,97988204,98209243,98581385,99498103,99686839,99781821,99961639,...,108658457539555713553786087329753801880957666763820399771918419474256962614316924477034970563468479063220342740059295936709128263047616483704361587915442540889681511963502633502581859643787286181348470962799561252065654557927613946371692038420287196007498743849518869086969543839794653629734338175179244529196732603603296742165126188756360896994741136041259401733258371260947654550954726838483817896146398022936901842790922575922252649613132067762840698716609521438141329702506360108479068259772773228960950512003929967673527862986459975221268459301189353350868910613913996656471109634198796700547565458940783539532698671903716162395194085410104038471279973742217275922381916508395652320501933287640653947956283023760535772209229400658155029553001179402555646009801395836975133543573600842977633203289337317750423823964295753783719822702554532530144567896816191149892636135898022956043210256510948753953085045537268215900727868719567120895304138633101359082067329080055681615086942261750509838514363005373153905799811359945067767900052961079487426456771151294757880434330319903395269191555764525734833706304279051328668321953167350240099616606683946184861941764588627943501597210914170752379484639197760888131926785149030975120748044479188417613272455581380250035015656221690751955727253354846581931199569922509159965094933578872186159055504694646050249717182708621390050154705906143024093026911193351311268144707980699666463137482365290688719432525098209398607757881884369560943351309386861952018031643787477731556182033646967621290513752193189726460870288937376366678248810263166942242170243331607613734989035474461716078761217750500026511919811569173315362236894736785446111342799271272495100438528458051511173900013382674249022654741175613494677275780172560048994442710263935983434256107323458709159530058810646419355966148034447126686064120358577526174614576472605579562971883056643361620081879693430172598030903844785933424203942782027864267673863101708414188779638281999794747834919983110808129643735196760576877440984238182426627792660031314770590180881102337422537440123379016205382805971202751115422904369032381093613539853815705609851819064601875465286394934690746951815561952624760472922612903152606882043343002818943200670325216326346187913457789714814234692368760920635971742802198286615552575665608789596504780575675840036552701269061423011146783848499904368371989967630715000146535194698188134199769179459388779927973894210004758150324624930549613109882736518847704866896979989626639467477772862229633577431542295046285072681593774551378366454543583759204066478877837889354474785268022249890185912825778140210872816554238385667793212420309855870153501239720032383696934144345282605831078367375335739675915246074994318983270284896717624025409639780230924401397272806299119246014939946904810133664689715032360975253920911708650223294085694742832375790529614421999888652732100393904792189436666407707173657082554431062017298273152407976910894591729867360943373840128859243898360115991677916207374448907457402654416829708066998487802635235616426084659253139596719278458982607955540356800391914972550721323557265136552763257027067247885786061487356978424541428591324250274517601365795980508995369543419226428704951147980774549788031885929733496033174211568666743523743591896943075807184488139808932751081487700793445525219335519083370434111088622957720442902229242994194591510227166007163199062043870315705442472647661533449335007139953552300959731795978466543434285376428240758556847322640196344712657588994484091035230206568097325338397808227289031397263866297427269813095150533006944494781204964542687051665815352232621611962596261716088994212380050366261443756851384670073668904621929178239055228916111806645968342683665360306416279341078858509178189428006}
23706 258287159413868661435284387766890959546311790639472973134142951583661971284136: {402713,450053,686633,805358,875753,1017509,1231828,1725209,1866533,1940366,1960709,2084632,2290073,2345211,2431109,2463448,2525093,2666009,2771379,2935204,3275813,3355886,3482283,3509993,3697193,3908355,3931013,4145575,4168912,4356568,4631273,4690026,4767806,4901139,4974690,5306336,5469209,5491672,5803315,5869912,5922250,5969628,6178131,6457358,6603651,6899668,6963978,7004248,7106700,7183493,7464868,7580480,7861358,7875353,7879779,8141726,8151593,8290450,8528040,8565413,8703209,8840933,9096576,9447123,9528473,9594045,9722788,9948540,10233648,10286548,10296015,10611776,10982416,11125733,11246575,11512854,11671109,11807273,11843500,11938248,12004239,12051758,12355218,12667288,12667973,13029509,13101028,13421272,13430529,13495890,13798168,14021093,14087815,14212200,14250699,14290853,14395616,14829509,14919173,15053609,15098931,15159680,15347428,15522939,15590633,15988725,16195068,16209758,16839209,16905378,16929055,17054640,17061509,17540211,17638553,17863886,17964771,18148948,18191616,18315928,18965033,19055155,19067992,19186470,19493609,20054419,20125450,20195608,20314866,20465568,20521023,20605419,20941253,21159833,21334553,21451491,21501268,21988613,22640873,22645491,22720059,22866186,22901273,23023764,23340206,24069509,24150540,24198953,24586853,24716009,24736195,25162755,25399204,25674355,25760576,25825048,26156455,26199832,26217509,26674963,26840272,27139358,27221650,27496709,27756699,27794153,28260773,28447192,28489358,28649170,28980648,29053179,29064473,29231215,29474811,29566766,29683434,29835758,30164498,30195306,30692248,30809226,30943204,30985339,31178558,31207493,31387746,31446686,31518015,31708709,31792133,31833833,31917209,32003091,32208773,32250206,32458373,32603229,32665980,33246003,33619216,33625123,34120046,34321193,34379004,34403609,34527173,34528779,34627747,34843712,34919246,35020709,35077458,35308073,35636009,35921752,35922533,36214059,36513758,36615943,36677650,36739013,36779753,37234483,37268009,37592873,37821618,37838558,38107090,38107348,38967833,39199176,39578575,40301908,40373573,40411971,40477358,40773413,41212313,41570693,42087209,42404393,42626968,42711715,42997733,43092140,43111975,43274009,43363406,44000671,44013180,44075402,44099073,44264770,44408558,44669486,45157913,45228952,45728508,45937433,45971966,46013451,46092953,46209509,46309155,46313188,46947392,47371109,47448293,47494290,47564009,47955339,48035890,48048446,48064613,48071163,48417855,48717209,48985253,49341566,49396432,49405673,49468210,49526659,50423512,50456455,50660576,50812709,50882571,50926313,51002009,51031659,51047612,51254058,51568709,51645712,51710568,51734370,51832553,52246373,52308490,52430366,52632015,52815816,52831204,53016088,53117724,53502043,53711246,53817509,53929193,54077993,54438700,54988526,55183328,55189913,55405315,55570986,55743173,56005586,56140816,56213391,56404709,56478053,56514713,56588009,56726451,56993148,57227575,57643068,57938213,58101426,58119833,58174389,58231204,58545758,58591109,58703155,58880453,58945155,59133209,59307748,59361852,59417793,59565593,59643099,60283673,60547746,60641513,60751975,60817646,60920404,61283609,61354793,61461509,61560200,61726899,61881112,61965442,61994068,62081244,62100293,62770188,62874832,62964860,63012202,63158418,63299813,63510533,63578558,63602404,63828686,63879999,64292371,64665051,64977509,65208148,65326440,66120233,66486378,67067246,67322693,67459493,67562009,67878628,67983799,68141573,68323003,68345573,68505688,68583209,68622700,68673090,68762883,69255225,69322011,69541886,69607768,69616251,69681536,70000793,70443786,70709272,70734186,70752370,71093643,71204633,71265566,71271209,71669993,71703173,72080650,72100709,72247358,72266009,72543832,72661913,72902370,72925160,73089509,73251296,73351973,73471358,73492245,73646633,73872240,74168873,74461733,74462674,74559209,75142553,75304133,75530009,75557832,76208152,76431490,76493609,76641819,76653509,77068899,77608083,77703833,77762528,77925509,77988773,78304613,78308739,78391728,78403672,78651113,78797056,78871772,78933893,79122053,79150450,79275295,79296446,79547931,79778126,80007980,80231512,80833433,81203609,81611811,81860575,82040805,82137171,82185113,82347240,82368233,82407708,82581509,82824773,82895006,83037209,83106270,83188709,83279513,83401255,83517592,83750308,83814346,83852933,83861650,84087326,84100515,84298911,84543209,84901673,84902844,85002561,85644773,85734171,85792793,86324009,86403939,86496780,86764709,86934206,87050755,87145193,87407813,87482844,87510192,87837056,88143356,88190694,88204131,88277955,88422953,88522060,88646688,89252319,89707216,89799209,89949800,90168773,90229358,90260451,90565253,90593513,90617215,90650009,91164952,91717788,92191109,92263232,92274473,92332766,92390575,92413253,92607209,92618392,92640645,92938793,93262855,93344728,93351653,93434009,93668308,93681055,93957291,94163152,94492371,94778684,94980540,95066009,95119166,95130354,95146853,95224804,95603609,95740498,95791013,96009576,96017803,96043358,96084713,96261028,96610803,97044303,97197209,97276133,97604290,97667625,97669673,98193963,98232690,98343758,98448966,98702655,98762009,98816688,98839493,99071513,99097253,99328553,99482393,99727524,99840233,99911499,99916709,...,162987686309333570330679130994630702821436500145730599657877629211385443921475386715552455845202718594830514110088943905063692394571424725556542381873163811334522267945253950253872789465680929272022706444199341878098481836891420919557538057630430794011248115774278303630454315759691980444601507262768866793795098905404945113247689283134541345492111704061889102599887556891421481826432090257725726844219597034405352764186383863883378974419698101644261048074914282157211994553759540162718602389659159843441425768005894951510291794479689962831902688951784030026303365920870994984706664451298195050821348188411175309299048007855574243592791128115156057706919960613325913883572874762593478480752899931460980921934424535640803658313844100987232544329501769103833469014702093755462700315360401264466449804934005976625635735946443630675579734053831798795216851845224286724838954203847034434064815384766423130929627568305902323851091803079350681342956207949652038623100993620083522422630413392625764757771544508059730858699717039917601651850079441619231139685156726942136820651495479855092903787333646788602250559456418576993002482929751025360149424910025919277292912646882941915252395816371256128569226958796641332197890177723546462681122066718782626419908683372070375052523484332536127933590880032269872896799354883763739947642400368308279238583257041969075374575774062932085075232058859214536139540366790026966902217061971049499694706223547936033079148787647314097911636822826554341415026964080292928027047465681216597334273050470451431935770628289784589691305433406064550017373215394750413363255364997411420602483553211692574118141826625750039767879717353759973043355342105178169167014198906908742650657792687077266760850020074011373533982111763420242015913670258840073491664065395903975151384160985188063739295088215969629033949222051670690029096180537866289261921864708908369344457824584965042430122819540145258897046355767178900136305914173041796401510794652562621283169457422999692121752379974666212194465602795140865316161476357273639941688990046972155885271321653506133806160185068524308074208956804126673134356553548571640420309780723558414777728596902813197929592402036120427723342928937140709383919354728910323065014504228414801005487824489519281870186684572221352038553141380953957614203297429923328863498413184394757170863513760054829051903592134516720175772749856552557984951446072500219802792047282201299653769189083169891960841315007137225486937395824419664824104778271557300345469984439959201216659293344450366147313442569427609022390661827067549681815375638806099718316756834031712177902033374835278869238667210316309224831357578501689818630464783805230251859580048575545401216517923908746617551063003609513872869112491478474905427345076436038114459670346386602095909209448678869022409920357215200497034572548541462880881367562975334941128542114248563685794421632999832979098150590857188284154999611560760485623831646593025947409728611965366341887594801041415060760193288865847540173987516874311061673361186103981625244562100497731703952853424639126988879709395078917688473911933310535200587872458826081985335897704829144885540600871828679092231035467636812142886986375411776402048693970763493054315128839643057426721971161824682047828894600244049761317353000115285615387845414613710776732209713399126622231551190168287829003278625055651166632934436580664353343864491291887265340749010744798593065805473558163708971492300174002510709930328451439597693967699815151428064642361137835270983960294517068986383491726136552845309852145988007596712340933547095895799446140904719642725799510416742171807446814030577498723028348932417943894392574133491318570075549392165635277077005110503356932893767358582843374167709968952514025498040459624419011618287763767284142009}
23707 259199753695766178784251078395701922995087052675041883623508457804535332480073: {1208037,1539785,1824053,1847742,2155517,2605790,2910549,3079310,3126948,3647798,3669005,3695172,3811997,4402806,4643044,4805213,4948493,5033829,5136173,5211140,5232617,5445710,6128717,6253368,6534852,6632920,6864590,7035039,7077629,7151709,7337390,7462035,7645733,7959504,8237508,8544509,8624585,8755310,8804868,8855198,8883375,8954442,9285304,9331085,9475600,9536189,9609614,9686037,10349502,10445967,10506372,10660050,11083877,11197302,11370720,11743613,11792037,11977526,12073397,12128768,12153485,12212589,12435675,12596164,12792060,12858185,13264720,13644864,13681838,13728020,14154062,14584182,14804375,14922810,15290174,15350472,15429822,15834110,15917664,16005652,16026437,16138166,16376285,16473624,16684493,16776590,17247710,17269281,17414573,17671157,17765250,17841902,17907372,17994520,18077637,18532827,18740969,18949600,18969269,19000932,19184285,19651542,20131908,20243835,20579117,20681462,20697252,21318300,21593424,21804029,22540504,22596917,22686185,22739520,22894910,22924853,23021142,23386948,23485238,23834990,23953028,24255488,24292602,24314637,24503273,24891293,25180133,25244510,25358067,25581960,26488109,26730869,26795829,26855717,26876585,26906597,27086488,27223422,27287424,27361364,27383693,27473892,28601988,28779705,29416814,30188175,30193988,30293412,30472299,30488248,30698352,30977609,31431533,31502789,31715486,31749005,32200720,32251902,32281310,32353577,32749790,33143069,33550340,34299279,34427453,34535646,34640489,34826198,35010309,35437109,35558990,35845193,36018653,36225810,36253022,36899126,37008932,37298597,37590557,38098806,38365310,38640864,38679005,38737572,38812589,38904857,38909117,39299748,39575333,39577912,39905909,40127789,40260408,40651853,40709037,40832475,41078968,41080397,41647349,41850328,41955017,42024020,42670788,42734037,42973755,43221878,43470972,43554640,43695593,44120573,44328004,44350149,44525151,44753637,44902190,45189998,45246747,45292959,45838672,46038372,46213839,46389077,46414806,46767837,46769944,47081619,47170029,47399774,47596862,47634185,47940173,48039017,48285412,48375309,48998970,49002398,49035893,49123214,49862189,50377385,50428824,50872517,50948222,51180069,51434933,51568506,52265568,52378869,52423646,52616187,52971734,53283710,53285513,53413589,53865175,53882628,54065309,54145973,54617342,54770637,55015478,55016475,55863389,56536190,56732427,56757837,56852693,57160635,57161022,57579269,57607502,57891485,58511837,58622366,58633373,58684240,58798764,58940702,59942477,60075086,60175817,60424613,60452862,60704789,60716037,60906797,60971344,61351268,61745540,61870613,61910669,61994573,62192909,63029390,63325720,63413774,63475853,63809515,63940452,64094884,64112822,64412654,64557140,64638210,64826453,65045109,65846198,66019770,66039005,66113103,66270110,66333353,66397155,66612837,66638909,66682133,67004229,67527653,67658333,67843428,67908566,68042212,68048375,68338744,68592762,68603213,68809997,68849078,68947424,68957949,68979160,69469782,70176020,70192973,70202573,70421088,70613849,70823632,71000798,71241435,71410574,71684318,72029429,72053835,72072669,72337193,72617102,72789005,73077893,74012349,74094648,74134685,74202315,74294357,74443862,74951188,75635268,75990864,76150505,76276169,76571418,76857424,76881087,76950250,77093657,77351390,77468568,77492585,77565852,77601555,77652233,78462735,78493814,78593540,78645549,78706075,79149136,79223724,79246806,79279022,79420526,79503005,79524132,79632893,79676586,79769333,79954109,80110589,80248766,80566869,80730328,81041093,81296798,81510185,81658050,81676637,82302532,82392758,82482789,82541189,82774992,83356479,83693584,84008379,84160589,84211224,84324617,84382166,84848285,85173332,85270613,85489722,85632110,85773302,85778375,85787678,86220068,86464602,87009710,87101920,87152139,87346806,87556253,87703133,87818637,88386590,88648504,88961622,89042778,89813837,90100982,90234557,90679790,90821619,91156450,91226469,91234889,91380606,91564120,91683844,91744574,92122478,92130773,92340300,92429348,92712413,92821668,92948163,92991102,93121866,93215693,93285917,93925048,94155282,94312248,94447290,94518303,94737627,94791524,94885709,95021513,95260190,95367837,95403606,95743029,96589742,97177493,97203160,97812222,97989660,98004590,98297957,98491817,98496320,98589715,99066317,99506549,99729567,99935102,99970133,...,217316915079111427107572174659507603761915333527640799543836838948513925228633848954069941126936958126440685480118591873418256526095232967408723175830885081779363023927005267005163719287574572362696941925599122504131309115855227892743384076840574392014997487699037738173939087679589307259468676350358489058393465207206593484330252377512721793989482272082518803466516742521895309101909453676967635792292796045873803685581845151844505299226264135525681397433219042876282659405012720216958136519545546457921901024007859935347055725972919950442536918602378706701737821227827993312942219268397593401095130917881567079065397343807432324790388170820208076942559947484434551844763833016791304641003866575281307895912566047521071544418458801316310059106002358805111292019602791673950267087147201685955266406578674635500847647928591507567439645405109065060289135793632382299785272271796045912086420513021897507906170091074536431801455737439134241790608277266202718164134658160111363230173884523501019677028726010746307811599622719890135535800105922158974852913542302589515760868660639806790538383111529051469667412608558102657336643906334700480199233213367892369723883529177255887003194421828341504758969278395521776263853570298061950241496088958376835226544911162760500070031312443381503911454506709693163862399139845018319930189867157744372318111009389292100499434365417242780100309411812286048186053822386702622536289415961399332926274964730581377438865050196418797215515763768739121886702618773723904036063287574955463112364067293935242581027504386379452921740577874752733356497620526333884484340486663215227469978070948923432157522435501000053023839623138346630724473789473570892222685598542544990200877056916103022347800026765348498045309482351226989354551560345120097988885420527871966868512214646917418319060117621292838711932296068894253372128240717155052349229152945211159125943766113286723240163759386860345196061807689571866848407885564055728535347726203416828377559276563999589495669839966221616259287470393521153754881968476364853255585320062629541180361762204674845074880246758032410765611942405502230845808738064762187227079707631411219703638129203750930572789869381493903631123905249520945845225806305213764086686005637886401340650432652692375826915579429628469384737521841271943485604396573231105151331217579193009561151351680073105402538122846022293567696999808736743979935261430000293070389396376268399538358918777559855947788420009516300649249861099226219765473037695409733793959979253278934955545724459267154863084590092570145363187549102756732909087167518408132957755675778708949570536044499780371825651556280421745633108476771335586424840619711740307002479440064767393868288690565211662156734750671479351830492149988637966540569793435248050819279560461848802794545612598238492029879893809620267329379430064721950507841823417300446588171389485664751581059228843999777305464200787809584378873332815414347314165108862124034596546304815953821789183459734721886747680257718487796720231983355832414748897814914805308833659416133996975605270471232852169318506279193438556917965215911080713600783829945101442647114530273105526514054134495771572122974713956849082857182648500549035202731591961017990739086838452857409902295961549099576063771859466992066348423137333487047487183793886151614368976279617865502162975401586891050438671038166740868222177245915440885804458485988389183020454332014326398124087740631410884945295323066898670014279907104601919463591956933086868570752856481517113694645280392689425315177988968182070460413136194650676795616454578062794527732594854539626190301066013888989562409929085374103331630704465243223925192523432177988424760100732522887513702769340147337809243858356478110457832223613291936685367330720612832558682157717018356378856012}
23708 260115551448535408583652166354193126109283140057065355208326812487588100050187: {450091,733987,805426,875827,900106,1373266,1610716,1751506,1866691,2035018,2463656,2572291,2771613,2994787,3450418,3557107,3733066,3880732,3908685,3921418,4169264,4580146,4618965,4678291,4690422,4862218,4926896,4957867,5050186,5332018,5471697,5542758,5803805,5870408,6490387,6513925,6551626,6604209,6711772,6964566,7019986,7394386,7816710,7862026,7876027,8124641,8168565,8291150,8337824,8713136,9254467,9262546,9380052,9535612,9802278,9949380,10215091,10296885,10612672,10625707,10938418,10983344,11006085,11581291,11606630,11739824,11844500,11939256,12356262,12533347,12914716,13132965,13207302,13282797,13346587,13431663,13799336,13927956,14008496,14213400,14366986,14414421,14929736,15160960,15524253,15722716,15745205,15750706,15759558,15904747,15990075,16283452,16303186,16580900,16795953,17056080,17130826,17160025,17406418,17681866,17966289,18038827,18193152,18894246,19056946,19188090,19445576,19722941,19897080,20007065,20467296,20522757,20573096,20592030,21223552,21231093,21876273,21964832,21990547,22251466,22384215,22493150,22512547,22903291,22935261,23025708,23144733,23342218,23553091,23614546,23687000,23700677,23751165,23876496,24008478,24103516,24201091,24207249,24589027,24710436,25164885,25334576,25335946,25871565,26059018,26202056,26647875,26677217,26762853,26842544,26861058,26991780,27596336,28042186,28175630,28424400,28501398,28581706,28791232,29233685,29477313,29659018,29699587,29838346,29941285,30107218,30197862,30319360,30694856,31022193,31045878,31181266,31836691,31977450,32390136,32419516,33678418,33810756,33858110,34109280,34123018,34201705,34324291,34342365,34531713,34630673,34941691,35080422,35227857,35277106,35311267,35727772,35752485,35929542,35944097,36297896,36383232,36438903,36538507,36619037,36631856,36783091,37742485,37866765,37930066,38110310,38135984,38365867,38372940,38987218,40108838,40250900,40391216,40629732,40777147,40835133,40923701,40931136,41042046,41210838,41882506,41937925,42319666,42447907,42669106,42902982,43002536,43977226,44004389,44125221,45281746,45290982,45440118,45732372,45802546,45980587,46047528,46261165,46680412,46911691,47573229,47722627,48139018,48301080,48377853,48397906,48421965,48687133,49124685,49173706,49432018,49448467,49472390,50325510,50798408,50931091,51348710,51521152,51650096,51803469,52000793,52239297,52312910,52399664,52435018,52530025,53338485,53349926,53412427,53680544,53748091,53971507,54278716,54338715,54379533,54443300,54993418,55348689,55410005,55513398,55588306,55748467,56299987,56520091,56521546,56849707,56894384,56978716,57148209,57298340,57547965,57616291,57961296,58106358,58128946,58462430,58949622,59133532,59366868,59463307,59671516,59796401,60328996,60356765,60390612,61384496,61618452,61886408,61970678,62141707,62357116,62414986,62775492,62893372,63036030,63305947,63417418,63584266,63667666,63834418,64006182,64042291,64417546,64500412,64832817,64916746,65206458,65331960,65400427,65854129,66126691,66492006,67238432,67250246,67353285,67363507,67671091,67784997,68240092,68386267,68642386,68758008,68807218,69054346,69057558,69255494,69622209,69687424,69838492,70041418,70154916,70616146,70639037,71099661,71272018,71395293,71511067,71710291,71843504,71845066,72428118,72504307,72998227,73027516,73231886,73355300,73478026,73498455,73503597,73559506,73684821,73980667,74468966,74536018,75185746,75224677,75643236,75677116,75981893,76214180,76214696,76405267,76422333,76689085,77076091,77181925,77352759,77362507,77567441,77743387,77935666,78398352,78635469,79157150,79161427,79255387,79457601,79925565,80118605,80377291,80563267,80603816,80696425,80747146,80823942,80954716,81546826,81580987,81926013,81948907,82184417,82224091,82407187,82424626,82523217,82863667,83141386,83861587,84174418,84804285,84808786,85052765,85253936,85423430,85564747,85741533,85995466,86184280,86223950,86411253,86548018,86726812,87416947,87720025,87933549,88001342,88026360,88150804,88198146,88201027,88411053,88461091,88529540,88720507,88817116,89338972,89751691,90112629,90315826,90457904,90603091,90679293,91457016,91874866,91943932,92026902,92185906,92419018,92618310,92626376,92865907,93688985,93894784,94544085,94742218,94896586,94988580,95120661,95128018,95801347,95910678,96071780,96096892,96129226,96142326,96169233,96600187,96618981,96835710,96957315,97312987,97434418,97970506,98241925,98683132,98769297,98792864,98811346,98936420,98953507,99029655,99053318,99108091,99405165,99876691,...,325975372618667140661358261989261405642873000291461199315755258422770887842950773431104911690405437189661028220177887810127384789142849451113084763746327622669044535890507900507745578931361858544045412888398683756196963673782841839115076115260861588022496231548556607260908631519383960889203014525537733587590197810809890226495378566269082690984223408123778205199775113782842963652864180515451453688439194068810705528372767727766757948839396203288522096149828564314423989107519080325437204779318319686882851536011789903020583588959379925663805377903568060052606731841741989969413328902596390101642696376822350618598096015711148487185582256230312115413839921226651827767145749525186956961505799862921961843868849071281607316627688201974465088659003538207666938029404187510925400630720802528932899609868011953251271471892887261351159468107663597590433703690448573449677908407694068868129630769532846261859255136611804647702183606158701362685912415899304077246201987240167044845260826785251529515543089016119461717399434079835203303700158883238462279370313453884273641302990959710185807574667293577204501118912837153986004965859502050720298849820051838554585825293765883830504791632742512257138453917593282664395780355447092925362244133437565252839817366744140750105046968665072255867181760064539745793598709767527479895284800736616558477166514083938150749151548125864170150464117718429072279080733580053933804434123942098999389412447095872066158297575294628195823273645653108682830053928160585856054094931362433194668546100940902863871541256579569179382610866812129100034746430789500826726510729994822841204967106423385148236283653251500079535759434707519946086710684210356338334028397813817485301315585374154533521700040148022747067964223526840484031827340517680146983328130791807950302768321970376127478590176431939258067898444103341380058192361075732578523843729417816738688915649169930084860245639080290517794092711534357800272611828346083592803021589305125242566338914845999384243504759949332424388931205590281730632322952714547279883377980093944311770542643307012267612320370137048616148417913608253346268713107097143280840619561447116829555457193805626395859184804072240855446685857874281418767838709457820646130029008456829602010975648979038563740373369144442704077106282761907915228406594859846657726996826368789514341727027520109658103807184269033440351545499713105115969902892145000439605584094564402599307538378166339783921682630014274450973874791648839329648209556543114600690939968879918402433318586688900732294626885138855218044781323654135099363630751277612199436633513668063424355804066749670557738477334420632618449662715157003379637260929567610460503719160097151090802433035847817493235102126007219027745738224982956949810854690152872076228919340692773204191818418897357738044819840714430400994069145097082925761762735125950669882257084228497127371588843265999665958196301181714376568309999223121520971247663293186051894819457223930732683775189602082830121520386577731695080347975033748622123346722372207963250489124200995463407905706849278253977759418790157835376947823866621070401175744917652163970671795409658289771081201743657358184462070935273624285773972750823552804097387941526986108630257679286114853443942323649364095657789200488099522634706000230571230775690829227421553464419426798253244463102380336575658006557250111302333265868873161328706687728982583774530681498021489597186131610947116327417942984600348005021419860656902879195387935399630302856129284722275670541967920589034137972766983452273105690619704291976015193424681867094191791598892281809439285451599020833484343614893628061154997446056697864835887788785148266982637140151098784331270554154010221006713865787534717165686748335419937905028050996080919248838023236575527534568284018}
23709 261034563844136312537886436697491498764623663572860342156983899903827967500029: {1208139,1350159,2013395,2059899,2155699,2416074,2627259,2866127,3052527,3079570,3648106,3695484,4311034,4850915,5136607,5175627,5211580,5599599,5821098,5848219,5882127,6158620,6253896,6870219,7035633,7293327,7295596,7338010,7390344,7550411,7575279,7623994,7998027,8314137,8389715,8545231,8805612,9254579,9286088,9610426,9827439,9896986,10067658,10272346,10422280,10446849,10465234,10529979,10891420,11091579,11665859,11725065,11793039,11919515,12074419,12257434,12436725,12506736,12517727,13063519,13069704,13265840,13729180,13893819,14070078,14155258,14303418,14674780,14703417,14805625,14924070,15291466,15919008,16143395,16407627,16475016,17014879,17089018,17249170,17409945,17510620,17609736,17710396,17766750,17908884,18001459,18452687,18534393,18570608,18662170,18951200,19072378,19219228,19372074,19653395,19810953,20354315,20580859,20699004,20726125,20891934,21012744,21320100,21550479,22167754,22394604,22418227,22741440,22926799,23113211,23487226,23584074,23626059,23639337,23703899,23955052,24146794,24257536,24306970,24425178,24454779,24871350,25192328,25584120,25696239,25716370,26109627,26522799,26529440,26857999,27289728,27363676,27386011,27456040,28308124,28341369,28585419,28782135,28808627,29168364,29608750,29758339,29845620,30072079,30129395,30580348,30700944,30859644,30888045,31591027,31668220,31760659,31835328,32011304,32052874,32061839,32211779,32276332,32752570,32947248,33312299,33368986,33377199,33553180,33739725,33960047,34495420,34538562,34829146,35013327,35342314,35421819,35506427,35530500,35683804,35711339,35814744,35989040,36012717,36155274,36314699,37065654,37481938,37593739,37627219,37899200,37938538,38001864,38003919,38368570,38596811,39088527,39303084,39716987,40263816,40291587,40487670,40524395,41158234,41362924,41394504,42063279,42263445,42567499,42636600,42752097,42872559,43186848,43226447,43481899,43608058,43678927,44448607,44488527,44659715,44757519,45058127,45081008,45160827,45193834,45296793,45372370,45479040,45789820,45849706,46042284,46568817,46771899,46773896,46970476,47669980,47906056,47966175,48043099,48510976,48585204,48610931,48629274,48836251,49006546,49782586,50313625,50360266,50489020,50517627,50716134,50787165,51163920,51184527,52470347,52620633,52915659,52976218,53461738,53591658,53711434,53753170,53813194,53894313,54150607,54172976,54446844,54574848,54722728,54767386,54947784,56857519,56895099,57110171,57165465,57203976,57559410,57793951,58350515,58480827,58810019,58833628,60163257,60376350,60387976,60586824,60786739,60944598,60976496,61396704,61563069,61673711,61816257,61955218,62823759,62863066,63005578,63430972,63479499,63498010,63740899,64003659,64354473,64401440,64503804,64562620,64707154,64737167,65451119,65499580,65965839,66286138,66300827,66687859,67100680,67533391,67848395,67922619,67936473,67988719,68048227,68054125,68160177,68598558,68703819,68854906,68962339,69071292,69280978,69652396,70020618,70528339,70874218,70908067,71117980,71223395,71622925,71690386,72037306,72208527,72381947,72451620,72506044,72596859,73760559,73798252,73916915,74017864,74058427,74148027,74202899,74208585,74589395,74597194,75181114,75411245,75488265,76197612,76730620,77023065,77229059,77281728,77358010,77475144,77625178,77809714,77818234,77946395,78469365,78599496,78616715,78652527,79150666,79155824,79811818,80024889,80255578,80520816,80625515,80661299,80847451,81048079,81303706,81418074,81664950,82157936,82160794,82490127,83270097,83294698,83382459,83700656,83910034,84048040,84782319,85300115,85341576,85468074,85947510,86163499,86443756,86941944,87109280,87159537,87193419,87298115,87391186,87693645,88241146,88424433,88656008,88700298,89050302,89333321,89462651,89507274,89804380,90379996,90493494,90585918,91284395,91677344,91694125,92076744,92165711,92427678,92454607,92778154,92829612,92921099,92956017,93535674,93539888,93622479,94163238,94340058,94554045,94596395,94799548,95029579,95126127,95193724,95267725,95268370,95376399,95501499,95751627,95880346,96009273,96078034,96375547,96570824,96626319,96750618,97375119,97590947,97809687,97997940,98004796,98071786,98246428,99724378,99738009,...,488963058928000710992037392983892108464309500437191798973632887634156331764426160146657367535608155784491542330266831715191077183714274176669627145619491434003566803835761850761618368397042787816068119332598025634295445510674262758672614172891292382033744347322834910891362947279075941333804521788306600381385296716214835339743067849403624036476335112185667307799662670674264445479296270773177180532658791103216058292559151591650136923259094304932783144224742846471635983661278620488155807168977479530324277304017684854530875383439069888495708066855352090078910097762612984954119993353894585152464044565233525927897144023566722730778373384345468173120759881839977741650718624287780435442258699794382942765803273606922410974941532302961697632988505307311500407044106281266388100946081203793399349414802017929876907207839330892026739202161495396385650555535672860174516862611541103302194446154299269392788882704917706971553275409238052044028868623848956115869302980860250567267891240177877294273314633524179192576099151119752804955550238324857693419055470180826410461954486439565278711362000940365806751678369255730979007448789253076080448274730077757831878737940648825745757187449113768385707680876389923996593670533170639388043366200156347879259726050116211125157570452997608383800772640096809618690398064651291219842927201104924837715749771125907226123727322188796255225696176577643608418621100370080900706651185913148499084118670643808099237446362941942293734910468479663024245080892240878784081142397043649792002819151411354295807311884869353769073916300218193650052119646184251240089766094992234261807450659635077722354425479877250119303639152061279919130066026315534507501042596720726227951973378061231800282550060222034120601946335290260726047741010776520220474992196187711925454152482955564191217885264647908887101847666155012070087288541613598867785765594126725108033373473754895127290368458620435776691139067301536700408917742519125389204532383957687863849508372268999076365257139923998636583396808385422595948484429071820919825066970140916467655813964960518401418480555205572924222626870412380019403069660645714921260929342170675244333185790708439593788777206108361283170028786811422128151758064186730969195043512685244403016463473468557845610560053716664056115659424142861872842609892289769986590495239553184271512590541280164487155710776403550160527318249569657673954854338217500659408376141846603898961307567249509675882523945021411676460812187473258994472314334814671901036409953319877603649977880033351098441940327708282827067171985481202649045446126916418299154950270502095136533706100124505836607716001630948927674494072735505069455891394351415690755578740145726636203649553771726239852653189010828541618607337474435424716282035229308114343379011039159806287727628346036607067229761071645601491103717645624388642644102688926004823385626342745691057383264898999498937294451772571564852464998834682281456871494939779077842229185835896099025662784403124245182280579866597542620521962550622933185020083558311944875733686301493195111858560273917380966639128185236753065421735799931605601763617376478245956007693114487434656621802615486037276693106402910436428660959126235329206146081912290479162945386518929172280165913485474046143486683800732149283952059000345856846163536243841132330196629140197379866694653570504863487009835875166953499898803309741993060031593473875661796022247032234395779197416420674491126914476900522007532129790985354318793081903099445454284193927083413505812951880883551206959150475178409658535929556437964022790137022800641287687398338422714158928177398531250226515422340442091732496169085046797253831683177722400473955710226648176496905831231015331510070798681302075748530122503129906857542076494121378873257034854863291301852426027}
23710 261956802093236881750578590934172256844013213728997265809532975792706980550168: {544801,900182,970429,1112161,1467974,1610852,1751654,1800212,1961041,2384509,2525521,2746532,3221432,3503012,3510589,3624111,3733382,4070036,4071901,4212049,4619355,4927312,5144582,5472159,5543226,5888209,5989574,6166561,6466551,6514475,6861181,6900836,7114214,7277089,7466132,7698275,7761464,7817370,7842836,8125327,8245021,8338528,8731647,8934241,9071869,9119495,9160292,9237930,9356582,9380844,9724436,9758929,9853792,9915734,10033249,10100372,10664036,10943394,11007015,11085516,11435991,11607610,11740816,11809309,12081469,12980774,13027850,13103252,13208418,13423544,13614275,13708381,13929132,14039972,14415639,14788772,14845479,14921761,15056221,15101487,15408519,15633420,15697851,15724052,15727441,15752054,16249282,16337130,16582300,16675648,17161475,17426272,17730301,18343475,18386151,18508934,18525092,18526909,18760104,19071224,19188769,19585021,19604556,19898760,20430182,20593770,21105117,21225344,21232887,21251414,21425629,21455127,21876836,21888275,21966688,22012170,22043287,22079569,22137995,22340641,22386105,22937199,22992061,23122129,23162582,23213260,23382049,23479648,23689000,23878512,24024035,24677329,24712524,24806461,25066694,25633527,25829432,25873755,26265930,26414604,26565594,26650125,26693174,26863326,27598672,27629149,27855912,27993255,28009891,28016992,28426800,28608567,28646941,28733972,28828842,29058111,29154109,29533729,29859472,29943815,30321920,30416989,30542881,31048506,31337901,31445432,31490410,31501412,31514087,31519116,31797841,31809494,31922941,31980150,32047969,32297809,32566904,32606372,32921149,33161800,33251631,33591906,34112160,34204595,34261652,34320050,34409821,34812836,35230839,35363732,35376111,35385155,35396509,35765329,35932578,36077654,36133501,36220191,36386304,36460455,36637767,37307025,37356061,37788492,38086141,38113892,38225435,38376180,38574555,38891152,39445882,39585275,39794160,40014130,40345415,40380961,40860769,40927159,40934592,41045514,41146192,41184060,41219869,41578321,41917799,41941475,42447104,42462186,42887101,43119275,43360861,43752546,43929664,43951441,43981094,44413125,44502932,44604755,44657761,44768430,44986300,45025094,45361489,45595489,45806582,45870522,46051416,46179229,46289466,46412221,46684436,47106182,47229092,47374000,47401354,47457121,47502330,47752992,47882387,48016956,48079311,48150481,48207032,48402182,48414498,48691247,49128855,49178054,49414909,49420872,49872541,50053479,50329770,50669152,50671892,51011581,51703655,51743130,51807843,51917629,52005187,52118036,52243719,52404112,52839479,53013471,53295750,53354434,53525706,53604049,53685088,53722116,53983560,54232911,54415031,55052509,55192672,55274269,55598481,56084372,56222907,56351260,56488801,56598781,56708689,56848800,56907807,57002796,57163412,57237275,57257149,57539339,57552855,57582464,58348669,58467370,58713095,58954626,59216701,59318036,59399174,59587475,59648989,59676692,59882570,60214436,60395724,60402721,60638720,60731505,61045969,61366621,61389712,61473361,61737351,62044386,62091756,62362532,63111275,63593041,63673382,63954900,64765631,64780272,64839032,65059681,65412087,65683921,67335889,67356836,67621512,67716220,67790751,68058555,68218560,68246036,68403410,68648582,68684730,68774559,69063426,69261346,69273661,69880189,69883382,70081789,70160844,70455714,70554212,70584529,70622534,71185441,71285341,71455544,71504970,71859084,71888194,72081949,72280381,72595792,72766464,72877806,72943911,73077014,73238074,73263712,73366609,73509819,73542035,73566182,74346529,74673879,75028189,75484970,75540399,75609661,75733530,75860132,75995869,76074201,76220620,76271968,76731734,76745880,77529181,77574007,77827607,77974436,78004561,78855709,79044061,79288715,79464327,79607389,80192607,80217676,80387487,80501800,80567151,80629755,80703275,80719791,80782432,80819041,80911741,81004369,81259464,81281821,81554294,81670266,81847402,81862272,81874475,82084092,82151079,82421676,82568029,82750621,83205841,83296669,83765012,83875850,84020701,84074639,84499471,84639332,84829729,84895814,85098109,85276669,85338212,85721809,85805964,86005072,86339115,87065495,87134161,87954452,88008778,88250442,88441501,88897475,88901891,88959901,89046049,90074209,90563492,90564525,90581964,90632555,90669181,90753889,90880236,91416897,91464744,91605092,91764769,91961174,92095056,92247815,92522330,92682301,92932827,93096481,93360824,93673309,93823382,94083169,94294599,94508367,95146458,95247015,95445254,95865169,95913275,96105469,96278036,96602160,96755706,96795812,96843930,97060731,97374266,97533661,97690909,98249370,98347412,98628349,98861089,98864036,98896934,98944780,99401629,99429207,99862141,...,651950745237334281322716523978522811285746000582922398631510516845541775685901546862209823380810874379322056440355775620254769578285698902226169527492655245338089071781015801015491157862723717088090825776797367512393927347565683678230152230521723176044992463097113214521817263038767921778406029051075467175180395621619780452990757132538165381968446816247556410399550227565685927305728361030902907376878388137621411056745535455533515897678792406577044192299657128628847978215038160650874409558636639373765703072023579806041167177918759851327610755807136120105213463683483979938826657805192780203285392753644701237196192031422296974371164512460624230827679842453303655534291499050373913923011599725843923687737698142563214633255376403948930177318007076415333876058808375021850801261441605057865799219736023906502542943785774522702318936215327195180867407380897146899355816815388137736259261539065692523718510273223609295404367212317402725371824831798608154492403974480334089690521653570503059031086178032238923434798868159670406607400317766476924558740626907768547282605981919420371615149334587154409002237825674307972009931719004101440597699640103677109171650587531767661009583265485024514276907835186565328791560710894185850724488266875130505679634733488281500210093937330144511734363520129079491587197419535054959790569601473233116954333028167876301498303096251728340300928235436858144558161467160107867608868247884197998778824894191744132316595150589256391646547291306217365660107856321171712108189862724866389337092201881805727743082513159138358765221733624258200069492861579001653453021459989645682409934212846770296472567306503000159071518869415039892173421368420712676668056795627634970602631170748309067043400080296045494135928447053680968063654681035360293966656261583615900605536643940752254957180352863878516135796888206682760116384722151465157047687458835633477377831298339860169720491278160581035588185423068715600545223656692167185606043178610250485132677829691998768487009519898664848777862411180563461264645905429094559766755960187888623541085286614024535224640740274097232296835827216506692537426214194286561681239122894233659110914387611252791718369608144481710893371715748562837535677418915641292260058016913659204021951297958077127480746738288885408154212565523815830456813189719693315453993652737579028683454055040219316207614368538066880703090999426210231939805784290000879211168189128805198615076756332679567843365260028548901947749583297678659296419113086229201381879937759836804866637173377801464589253770277710436089562647308270198727261502555224398873267027336126848711608133499341115476954668841265236899325430314006759274521859135220921007438320194302181604866071695634986470204252014438055491476449965913899621709380305744152457838681385546408383636837794715476089639681428860801988138290194165851523525470251901339764514168456994254743177686531999331916392602363428753136619998446243041942495326586372103789638914447861465367550379204165660243040773155463390160695950067497244246693444744415926500978248401990926815811413698556507955518837580315670753895647733242140802351489835304327941343590819316579542162403487314716368924141870547248571547945501647105608194775883053972217260515358572229706887884647298728191315578400976199045269412000461142461551381658454843106928838853596506488926204760673151316013114500222604666531737746322657413375457965167549061362996042979194372263221894232654835885969200696010042839721313805758390775870799260605712258569444551341083935841178068275945533966904546211381239408583952030386849363734188383583197784563618878570903198041666968687229787256122309994892113395729671775577570296533965274280302197568662541108308020442013427731575069434331373496670839875810056101992161838497676046473151055069136568036}
23711 262882277445346376379700006564375922803087149523394231518177536724168592344957: {1350273,2013565,2201961,2250265,2416278,2627481,2700318,2818753,2866369,3387241,3433165,4026790,4119798,4311398,4378765,4832148,5087545,5254518,5600073,5732254,5990281,6105054,6159140,6791281,6842653,7296212,7390968,7551049,7716873,8071129,8314839,8622068,8626045,8923213,8984361,9255361,9332665,9630841,9701830,9803545,10273214,10343353,10351254,10423160,10671321,11199198,11450365,11642196,11696438,11726055,11745601,11764254,12155545,12317240,12470401,12507792,12625465,13038313,13330045,13740438,13856895,14034873,14071266,14586654,14591192,14676020,14780688,14873601,15100822,15150558,15247988,15996054,16379065,16415091,16628274,16687321,16779430,17090462,17411415,17417521,17549965,17611224,18454249,18485965,18509158,18572176,18972481,19220852,19471161,19541775,19654878,19655065,19793972,19812627,20135316,20544692,20727875,20844560,20893698,20930468,21059958,21782840,21807721,22183158,22600753,23156365,23331718,23450130,23586078,23628081,23839030,24148838,24373923,24505695,24507421,24514868,24873450,25013472,25035454,25184401,26127038,26139408,26218489,26492593,26531680,26911153,27315613,27346045,27458360,27514753,27763401,27768961,27787638,28140156,28310516,28496041,28512961,28606836,29016575,29349560,29406834,29611250,29848140,30582932,30645273,30890655,31838016,31877121,32064553,32286790,32815254,32950032,33018255,33148681,34029758,34178036,34433281,34498340,34743873,34819890,35021240,35219472,35420792,35509441,35533500,35817768,35851261,35917465,36002918,36024769,36317773,36905374,37068786,37141216,37231393,37324340,37600041,37902400,38144756,38438456,38744148,38819161,39114889,39306790,39376765,39398895,39621906,39720349,39848391,39912673,40039761,40134601,40294989,40418953,40509181,40708630,40757965,41087353,41161718,41398008,41452250,41654401,41783868,41962141,42025488,42181153,42201841,42640200,42827065,42897553,43100958,43243263,43516045,44204665,44335508,44789208,44836454,45299101,45482880,45521521,45614413,45853598,46226422,46572759,46974452,47168148,47235615,47252118,47278674,47407798,47642365,47714241,47910104,47970225,48293588,48307153,48515072,48613940,48850356,48909558,49392409,49742700,49980253,50384656,50387859,50881153,51085801,51168240,51392478,51432740,51480075,51963409,52219254,52474801,53045598,53058880,53715998,53898867,54074473,54116481,54579456,54727352,54772022,54864253,54912080,55628665,56232875,56616248,56682738,56734153,56802793,57170838,57564270,57617254,58032841,58336728,58355545,58612081,58643329,59036365,59046109,59168823,59217500,59516678,59691240,59896033,60021195,60144158,60258790,60893533,61160696,61401888,61568271,61719288,61776090,62005081,62189809,62523601,62820253,63182054,63336440,63339865,63521318,63670656,63693279,64022608,64105748,64123678,64423558,64552664,64837441,65147545,65204401,65505140,65628819,65894496,65971641,66624598,66737972,66754398,67106360,67152645,67479450,67537641,67669801,67920094,68696689,68709873,68805783,68821681,68990840,69068749,69077124,69332329,69434199,69658292,70026654,70105465,70439075,70659273,70684628,70843638,70977241,71012854,71061000,71102031,71253495,71367608,71422678,71454265,71629488,71978080,72025434,72310548,72603273,72621747,72629398,72887113,72897121,73767081,73794073,74131308,74147545,74595865,74963876,75187478,75254438,75268045,75286153,75494655,75798400,75877076,76003728,76007838,76507561,76737140,77193622,77614695,77953165,78177054,78606168,78691453,78729841,79433974,79943625,80031651,80288559,80527632,80583174,80668153,80975340,81048790,81690721,81744001,82127233,82316468,82555201,82725848,82789008,84126558,84196045,84526890,84645275,84970441,85086529,85134998,85273200,85307545,85504194,85542301,85745118,86047069,86373696,86452894,86963798,87216116,87357854,87701055,88192765,88431939,88897214,88977054,89098761,89319430,89515038,89823855,90116254,90162016,90321654,90387668,90593586,90744740,90958080,91579640,91699412,91989481,92084568,93066579,93137634,93301753,93543798,93547792,93940952,94195321,94825165,94987753,95275775,95339960,95510073,95632489,95710681,95812112,95932350,96086198,96786553,97021952,97170408,97221862,97225249,97258548,97468045,97672502,98013092,98508541,98780809,99523441,99565172,99712753,99747769,...,977926117856001421984074785967784216928619000874383597947265775268312663528852320293314735071216311568983084660533663430382154367428548353339254291238982868007133607671523701523236736794085575632136238665196051268590891021348525517345228345782584764067488694645669821782725894558151882667609043576613200762770593432429670679486135698807248072952670224371334615599325341348528890958592541546354361065317582206432116585118303183300273846518188609865566288449485692943271967322557240976311614337954959060648554608035369709061750766878139776991416133710704180157820195525225969908239986707789170304928089130467051855794288047133445461556746768690936346241519763679955483301437248575560870884517399588765885531606547213844821949883064605923395265977010614623000814088212562532776201892162407586798698829604035859753814415678661784053478404322990792771301111071345720349033725223082206604388892308598538785577765409835413943106550818476104088057737247697912231738605961720501134535782480355754588546629267048358385152198302239505609911100476649715386838110940361652820923908972879130557422724001880731613503356738511461958014897578506152160896549460155515663757475881297651491514374898227536771415361752779847993187341066341278776086732400312695758519452100232422250315140905995216767601545280193619237380796129302582439685854402209849675431499542251814452247454644377592510451392353155287216837242200740161801413302371826296998168237341287616198474892725883884587469820936959326048490161784481757568162284794087299584005638302822708591614623769738707538147832600436387300104239292368502480179532189984468523614901319270155444708850959754500238607278304122559838260132052631069015002085193441452455903946756122463600565100120444068241203892670580521452095482021553040440949984392375423850908304965911128382435770529295817774203695332310024140174577083227197735571531188253450216066746947509790254580736917240871553382278134603073400817835485038250778409064767915375727699016744537998152730514279847997273166793616770845191896968858143641839650133940281832935311627929921036802836961110411145848445253740824760038806139321291429842521858684341350488666371581416879187577554412216722566340057573622844256303516128373461938390087025370488806032926946937115691221120107433328112231318848285723745685219784579539973180990479106368543025181082560328974311421552807100321054636499139315347909708676435001318816752283693207797922615134499019351765047890042823352921624374946517988944628669629343802072819906639755207299955760066702196883880655416565654134343970962405298090892253832836598309900541004190273067412200249011673215432003261897855348988145471010138911782788702831381511157480291453272407299107543452479705306378021657083237214674948870849432564070458616228686758022078319612575455256692073214134459522143291202982207435291248777285288205377852009646771252685491382114766529797998997874588903545143129704929997669364562913742989879558155684458371671792198051325568806248490364561159733195085241043925101245866370040167116623889751467372602986390223717120547834761933278256370473506130843471599863211203527234752956491912015386228974869313243605230972074553386212805820872857321918252470658412292163824580958325890773037858344560331826970948092286973367601464298567904118000691713692327072487682264660393258280394759733389307141009726974019671750333906999797606619483986120063186947751323592044494064468791558394832841348982253828953801044015064259581970708637586163806198890908568387854166827011625903761767102413918300950356819317071859112875928045580274045601282575374796676845428317856354797062500453030844680884183464992338170093594507663366355444800947911420453296352993811662462030663020141597362604151497060245006259813715084152988242757746514069709726582603704852054}
23712 263811001188949020935403414274370958468723233685060680117709706959697030073700: {544847,970511,1017767,1089602,1800364,1867007,1940858,1961207,2102447,2224322,2431727,2572727,2666687,2935948,3089111,3221704,3503308,3510887,3557711,3600424,3624417,3838487,3922082,4050477,4072247,4259111,4769018,5051042,5493064,5610047,6040185,6179697,6442864,6467097,6584111,7006024,7021178,7248222,7323887,7466764,7698925,7881777,8140072,8143802,8424098,8598381,8705447,8843207,9120265,9157581,9238710,9347711,9759767,9805511,9854624,10079807,10289164,10308167,10718711,10777585,10944318,11086452,11674127,11776418,11810327,11979148,12127847,12333122,12767293,12933102,13028950,13168367,13722362,13801672,14159687,14228428,14552745,14554178,14564111,14788511,14932264,15057527,15191927,15396550,15409821,15505247,15522928,15526881,15634740,15685672,15728807,15907511,16130711,16250654,16309127,16490042,16531967,16677056,16798797,16977047,17243711,17463294,17544657,17643167,17646381,17868482,18143738,18238990,18320584,18345025,18475860,18572711,18713164,18761688,19059985,19448872,19498727,19517858,19630727,19707584,19831468,20066498,20200744,20610657,21106899,21165407,21328072,21879981,21886788,22014030,22081511,22171032,22516511,22651233,22725837,22871982,22994087,23167511,23215220,23427407,23481632,23618618,23994081,24026065,24032711,24162938,24205367,24679511,24722567,24742465,24942411,25169145,25635693,25680865,25961548,26055700,26163085,26206504,26224487,26395511,26416836,26609111,26847088,27035711,27228550,27416762,27631607,27674111,27763737,27858264,28079944,28268327,28691807,28831278,29198927,29482317,29577544,29578511,29690958,29843522,30112442,30202974,30643585,30817038,30993193,31266840,31340547,31395702,31424927,31448104,31454882,31504108,31589937,31842407,31925807,32050847,32342327,32498564,32674260,32965607,33164600,33274737,33351296,33633649,33793847,34322950,34412927,34536527,34852544,34948007,34997577,35030207,35175195,35379117,35388145,35399711,35460602,35758545,35768567,35809511,36223257,36686950,36772302,37017868,37050184,37053818,37243921,37310175,37400087,37520208,37553181,37603127,37846511,38142448,38228665,38377538,39099407,39170042,39190557,39209112,39461711,39797520,40064111,40664711,40860364,40864511,40904447,41187540,41681457,41701487,41921341,42210234,42450688,42465774,42502828,42722545,42851258,42891047,42910254,43122925,43404287,43640711,43753672,43776550,43933376,43994807,44024340,44086574,44110251,44159138,44191247,44275990,44416875,44661887,44681282,44772210,45365687,45599711,45638687,45874398,45984122,46222367,46244258,46325164,46416527,46426520,46655425,46764098,46959296,47378000,47577287,47680945,47731511,47757024,47886433,48048070,48430185,49113767,49222881,49354658,49425048,49457711,49539217,49612922,49877207,50133388,50599511,50940647,51016367,51044637,51129887,51267054,51658864,51747510,52229835,52531860,52829208,53131188,53300250,53386348,53422511,53515609,53726652,53832767,53944487,54004377,54419629,54724511,55197344,55258298,55358061,55419385,55603179,55711824,55986510,56019782,56033984,56483581,56530847,56604167,56714087,56853600,56933711,57217134,57262607,57293882,57299111,57467944,57544201,57627287,57657684,57700127,58116222,58308218,58390511,58718065,58960185,59067458,59150207,59432859,59718944,59887630,60366985,60408527,60643840,60767425,60833978,61051847,61062945,61085762,61301327,61479287,61585967,61742577,62097012,62178375,62446657,62472167,62675802,62890864,62980820,63001487,63002824,63028174,63038232,63595682,63618988,63845882,63960300,64095938,64229567,64290925,64308673,64595618,64651437,64996487,65100767,65133808,65212744,65482511,65690327,65842298,66139607,66323600,66503262,66862511,67183812,67254681,67376711,67581887,67684367,67752647,68001037,68093567,68224320,68365727,68409190,68523304,68569511,68640100,68780397,68819642,68874647,69339633,69625672,70122287,70461678,70727464,70752222,70770310,70793018,70878177,70918011,70925711,71111697,71225807,71392247,71530658,71865156,72122207,72155308,72267002,72385117,72440382,72772608,72782447,72920910,73275534,73364337,73897511,74021875,74060711,74353967,74581607,74614050,74679047,74712122,75552767,75576984,76003511,76035647,76172282,76227784,76450870,76484711,76752360,77088717,77149110,77441711,77568767,77782304,78328881,78891764,78895127,79052087,79170550,79568397,79588320,79646711,80028260,80132185,80573997,80690830,80761922,80858207,81228527,81320927,81721538,81854318,81869184,81881425,82091028,82118711,82158033,82198333,82292384,82368120,82393607,82439738,82576511,82606967,83032511,83156642,83214407,83305247,83422465,83835598,83882950,84059447,84894208,84924372,85024107,85315247,85756257,85774202,85908287,86174111,86238550,86346405,86350967,86425881,86721722,87072865,87172487,87505092,87784511,87859328,87902882,87962188,88355785,88479647,88537367,88826250,89005864,89209510,89275017,89315522,89399327,89536860,89827607,89972600,90050188,90216237,90388185,90678767,90722978,90763487,90791711,90960887,91190978,91613164,91741044,91978081,92102832,92303927,92358458,92442767,92578932,92664135,92824442,93133967,93368872,93463967,93546287,93704845,93710711,93847511,93965773,94212364,94256711,94458184,94748000,94773081,94802708,94846345,94914242,95004660,95177567,95281977,95505984,95764774,95875511,95921425,96033912,96115847,96158622,96185517,96300962,96382127,96414064,96635337,96674111,96804364,96828996,97070711,97228847,97307807,97382494,98015207,98257710,98356108,98829818,98841744,98871887,99360937,99438167,99745082,99898607,99936897,99949607,...,1466889176784002132976112178951676325392928501311575396920898662902468995293278480439972102606824467353474626990800495145573231551142822530008881436858474302010700411507285552284855105191128363448204357997794076902886336532022788276017842518673877146101233041968504732674088841837227824001413565364919801144155890148644506019229203548210872109429005336557001923398988012022793336437888812319531541597976373309648174877677454774950410769777282914798349432674228539414907950983835861464467421506932438590972831912053054563592626150317209665487124200566056270236730293287838954862359980061683755457392133695700577783691432070700168192335120153036404519362279645519933224952155872863341306326776099383148828297409820820767232924824596908885092898965515921934501221132318843799164302838243611380198048244406053789630721623517992676080217606484486189156951666607018580523550587834623309906583338462897808178366648114753120914659826227714156132086605871546868347607908942580751701803673720533631882819943900572537577728297453359258414866650714974573080257166410542479231385863459318695836134086002821097420255035107767192937022346367759228241344824190233273495636213821946477237271562347341305157123042629169771989781011599511918164130098600469043637779178150348633375472711358992825151402317920290428856071194193953873659528781603314774513147249313377721678371181966566388765677088529732930825255863301110242702119953557739445497252356011931424297712339088825826881204731405438989072735242676722636352243427191130949376008457454234062887421935654608061307221748900654580950156358938552753720269298284976702785422351978905233167063276439631750357910917456183839757390198078946603522503127790162178683855920134183695400847650180666102361805839005870782178143223032329560661424976588563135776362457448866692573653655793943726661305542998465036210261865624840796603357296782380175324100120421264685381871105375861307330073417201904610101226753227557376167613597151873063591548525116806997229095771419771995909750190425156267787845453287215462759475200910422749402967441894881555204255441665616718772667880611237140058209208981937144763782788026512025732999557372125318781366331618325083849510086360434266384455274192560192907585130538055733209049390420405673536831680161149992168346978272428585618527829676869309959771485718659552814537771623840493461467132329210650481581954748708973021864563014652501978225128425539811696883922701748529027647571835064235029382436562419776983416943004444015703109229859959632810949933640100053295325820983124848481201515956443607947136338380749254897464850811506285409601118300373517509823148004892846783023482218206515208367674183054247072266736220437179908610948661315178719557959567032485624855822012423306274148846105687924343030137033117479418863182885038109821201689283214936804473311152936873165927932308066778014470156879028237073172149794696998496811883355317714694557394996504046844370614484819337233526687557507688297076988353209372735546841739599792627861565887651868799555060250674935834627201058904479585335575680821752142899917384555710259196265207399794816805290852129434737868023079343462303969865407846458111830079319208731309285982877378705987618438245736871437488836159556787516840497740456422138430460051402196447851856177001037570538490608731523396990589887420592139600083960711514590461029507625500860499696409929225979180094780421626985388066741096703187337592249262023473380743430701566022596389372956062956379245709298336362852581781250240517438855642650653620877451425535228975607788669313892068370411068401923863062195015268142476784532195593750679546267021326275197488507255140391761495049533167201421867130679944529490717493693045994530212396043906227245590367509389720572626229482364136619771104564589873905557278081}
23713 264742984651638156768574144623453060746250222662952649725582898498267029618342: {1634403,2250455,2700546,2818991,2911287,3150371,3336483,3387527,3669935,4003103,4027130,4379135,4403922,4500530,4806431,4832556,5254962,5400636,5637506,5732738,5883123,6130271,6774482,6866330,7079423,7122563,7153527,7576563,7647671,8053580,8071811,8239596,8622796,8757530,8923967,9333455,9538607,9664296,10175090,10344227,10509036,10531767,10872333,11200146,11381903,11464508,11980562,12076463,12210108,12215703,12318280,12636147,12861455,13065731,13582562,13685306,13724963,13858065,13937507,14592424,14781936,14973935,15102098,15433746,16030511,16142258,16416477,16629678,17017763,17244136,17252090,17664627,17675651,17785535,17846426,17968722,18499683,18510722,18662063,18665330,18974087,19261682,19399653,19403660,19543425,19607090,20528387,20546428,20583543,20584343,20686706,20702508,20846320,21342642,21809567,21831267,22398396,22422023,22900730,22930691,23094825,23284392,23391455,23392876,23452110,23491202,23528508,24311090,24375981,24569951,24634480,24735063,24789335,24940802,25015584,25250930,25880351,26076626,26194941,26660090,26737667,26802723,26913431,27215607,27358485,27390647,27480876,27517091,27713790,28069746,28142532,28288007,29019025,29173308,29182384,29276787,29316143,29352040,29561376,29747202,29763383,30077171,30099747,30201644,30301116,30495976,30985487,31867427,31992108,32418911,32451935,32569625,32758130,32817863,32830182,33021045,33151487,33256548,33374642,33558860,34180924,34307973,34822830,34835042,35099930,35222448,35427927,36027827,36244407,36403043,36908498,36971930,37018316,37144352,37600103,37944962,38284463,38441704,38822447,38914751,38942322,39083550,39309756,39310130,39380135,39587944,39625254,40270632,40623205,40842825,41089384,41090831,41125143,41311343,41455750,41657927,41689120,41787396,41789087,41860936,41965703,42119916,42205427,42574727,43206467,43246917,43565680,43615442,43686323,44366316,44536437,44765283,45168663,45201506,45274967,45304461,46225557,46226687,46272335,46312730,46324703,46663436,46900260,47093553,47172156,47182323,47256162,47678060,47742083,48297676,48747846,49011390,49014842,49029736,49746900,49874903,49909607,50026944,50070908,50284451,50368802,50628407,51075455,51484425,52254076,52278816,52436978,52635983,52985186,53063360,53128535,53190903,53427167,53822306,54631226,54692090,54916720,55029506,55030425,55127471,55158453,55526802,55537922,55575276,55580727,55665191,56280312,56621032,56867171,56992082,57025922,57061151,57213672,57566307,57803747,57906455,58033150,58372847,58526711,58648307,58699120,58755063,58813668,59117567,59128487,59222500,59696280,59957891,60720227,60922463,61165864,61290546,61318871,61781310,61886531,61926407,62666735,62825591,63315351,63676032,63698661,63751703,63754242,64129106,64276887,64365381,64573580,65093087,65630508,65664825,65900064,66036510,66129861,66238707,66297362,66413985,66699311,66732935,67021923,67158315,68000243,68059516,68356072,68811597,68827523,68866562,68976183,68996680,69268823,69366387,69487746,69639780,69847811,70042480,70146147,70210871,70436447,70438944,70631807,70841584,71018882,71067000,71635536,71702522,71834930,72005836,72047747,72049538,72072105,72454103,72635546,72875507,73497047,73810748,73832111,74031987,74137572,74282432,74313251,74419383,74462786,74648680,75200082,75804800,76289512,76295567,76417727,76876912,76900581,77488296,77621265,77638322,77880131,78229778,78613580,78726025,78753530,78797790,79243812,79440698,79490351,79523735,79696782,79825346,79950375,80079522,80269202,80589978,80837906,80947583,81018362,81417260,81515930,81697763,81750947,81938207,82174706,82323436,82650911,82796016,82887447,82904500,83308802,83567736,83778743,83924282,83979765,84029673,84050976,84362306,84403682,84911207,85093811,85280400,85654130,85795106,85800125,85825701,85940823,86151143,86201916,86486526,86760431,87032090,87174333,87462327,87949271,88409330,88601187,88671016,88675811,88986143,89578416,89672908,89831445,90194135,90244487,90598202,90965760,91043042,91206563,91228826,91250967,91628643,91707196,92452844,93145518,93948904,94013703,94336296,94471230,94504236,94542261,94557348,94815596,95045711,95284730,95393523,95428482,95768823,95820208,95940450,96143907,96587176,96614306,96893427,97030144,97227880,97700712,97819116,97867967,98147651,98516903,98614705,98733647,98763447,98784818,99485400,99754893,99960506,...,1955852235712002843968149571935568433857238001748767195894531550536625327057704640586629470142432623137966169321067326860764308734857096706678508582477965736014267215343047403046473473588171151264272477330392102537181782042697051034690456691565169528134977389291339643565451789116303765335218087153226401525541186864859341358972271397614496145905340448742669231198650682697057781917185083092708722130635164412864233170236606366600547693036377219731132576898971385886543934645114481952623228675909918121297109216070739418123501533756279553982832267421408360315640391050451939816479973415578340609856178260934103711588576094266890923113493537381872692483039527359910966602874497151121741769034799177531771063213094427689643899766129211846790531954021229246001628176425125065552403784324815173597397659208071719507628831357323568106956808645981585542602222142691440698067450446164413208777784617197077571155530819670827886213101636952208176115474495395824463477211923441002269071564960711509177093258534096716770304396604479011219822200953299430773676221880723305641847817945758261114845448003761463227006713477022923916029795157012304321793098920311031327514951762595302983028749796455073542830723505559695986374682132682557552173464800625391517038904200464844500630281811990433535203090560387238474761592258605164879371708804419699350862999084503628904494909288755185020902784706310574433674484401480323602826604743652593996336474682575232396949785451767769174939641873918652096980323568963515136324569588174599168011276605645417183229247539477415076295665200872774600208478584737004960359064379968937047229802638540310889417701919509000477214556608245119676520264105262138030004170386882904911807893512244927201130200240888136482407785341161042904190964043106080881899968784750847701816609931822256764871541058591635548407390664620048280349154166454395471143062376506900432133493895019580509161473834481743106764556269206146801635670970076501556818129535830751455398033489075996305461028559695994546333587233541690383793937716287283679300267880563665870623255859842073605673922220822291696890507481649520077612278642582859685043717368682700977332743162833758375155108824433445132680115147245688512607032256746923876780174050740977612065853893874231382442240214866656224462637696571447491370439569159079946361980958212737086050362165120657948622843105614200642109272998278630695819417352870002637633504567386415595845230268998038703530095780085646705843248749893035977889257339258687604145639813279510414599911520133404393767761310833131308268687941924810596181784507665673196619801082008380546134824400498023346430864006523795710697976290942020277823565577405662763022314960582906544814598215086904959410612756043314166474429349897741698865128140917232457373516044156639225150910513384146428268919044286582405964414870582497554570576410755704019293542505370982764229533059595997995749177807090286259409859995338729125827485979759116311368916743343584396102651137612496980729122319466390170482087850202491732740080334233247779502934745205972780447434241095669523866556512740947012261686943199726422407054469505912983824030772457949738626487210461944149106772425611641745714643836504941316824584327649161916651781546075716689120663653941896184573946735202928597135808236001383427384654144975364529320786516560789519466778614282019453948039343500667813999595213238967972240126373895502647184088988128937583116789665682697964507657907602088030128519163941417275172327612397781817136775708333654023251807523534204827836601900713638634143718225751856091160548091202565150749593353690856635712709594125000906061689361768366929984676340187189015326732710889601895822840906592705987623324924061326040283194725208302994120490012519627430168305976485515493028139419453165207409704108}
23714 265678239200250853303325439251963711134808173286805688705355004616920620704160: {876049,1017853,1089694,1941022,2035534,2179204,3558013,3600728,3698449,3734014,3881716,3922414,4050819,4204894,4448644,4863454,5145454,5333374,5656993,5871896,6040695,6178222,6443408,6605883,6630973,6750795,7006616,7021774,7115422,7200848,7248834,7676974,7844164,7882443,8100954,8144494,8456259,8518222,8599107,9538036,9806353,10066975,10102084,10161723,10299495,10765213,10778495,10986128,11220094,11311549,12080370,12359394,12536593,12672349,12768371,12885728,12934194,13136295,13168222,13214653,14012048,14042356,14330635,14496444,14647774,14834653,14933528,15088619,15238033,15262635,15397850,15506593,15763554,16280144,16287604,16800219,16848196,17196762,17245213,17410894,17686414,17970843,18240530,18315162,18477420,18695422,19500433,19519534,19611022,19709248,20159614,20373843,20527959,20578328,20616334,20685949,21342049,21437422,21555170,21888636,22172904,22648849,22653147,23150619,23348254,23552836,23620654,23958296,24078013,24213387,24254575,24255694,24666244,24724753,24944517,25534586,25683035,25866204,25878135,26057900,26336734,26397853,26683979,26769639,26953083,27293713,27444724,27603344,27676573,27766083,27997995,28319374,28456856,28892523,29105490,29108356,29128222,29241095,29410635,29577022,29864528,30115054,30383854,30793100,30819642,31010494,31030059,31045856,31053762,31269480,31371344,31457614,31720093,31815022,32013963,32261422,32501308,32618254,32980084,33063934,33354112,33597594,33636491,33954094,34209853,34351095,34487422,34639451,34704349,34926588,35089314,35178165,35236803,35286334,35292762,35736964,35812753,35953211,36287476,36466635,36477980,36628319,36641168,36670813,36690050,36951720,37145422,37411203,37426328,37523376,37752055,37876395,37890493,38119970,38497633,38897744,38982049,38997454,39035716,39114939,39261454,39415168,39662936,39990135,40132996,40401488,40908193,41221314,41570685,41948575,42104619,42213798,42330814,42656144,42726155,42901019,43171549,43759962,43773576,44015543,44028060,44163022,44342064,44470033,44620803,45033022,45302466,45451674,45642913,45743964,45988174,46110049,46272895,46335022,46430440,46854814,46963264,47237236,47735953,47988162,48052130,48065422,48325876,48410734,48888673,49137195,49245273,49359022,49445134,49484930,49543403,49884822,50061963,50338290,51271386,51361730,51852049,51923096,52111400,52234245,52252563,52326170,52413008,52416349,52448974,52649895,52791022,52833672,53091133,53218222,53427553,53520131,53694176,53986813,54071422,54098449,54457100,54766753,54833524,55263214,55348222,55362747,55457895,55527474,55716528,55764349,56159888,56426173,56536654,56917443,56975713,57304573,57383614,57662556,57960349,58329295,58397854,58413483,58625325,58964634,58965195,59155088,59157022,59381916,59437881,59588449,59597575,59687044,59811563,60224884,60372095,60405948,61287170,61627453,61634076,61986386,62183625,62533680,62588635,62681094,62791404,62849854,62896208,62909764,63008216,63179874,63684814,63851614,64101694,64270753,64314107,64684654,64997128,65002813,65315473,65317595,65348520,65423163,65870827,65931214,66329200,66549474,66702592,66753323,66869053,67267298,67485949,67587694,67802259,68006783,68406433,68610193,68645900,68825854,68915293,69073054,69469095,69705088,69896014,69995154,70060414,70350390,70758234,70776290,70799422,70884243,70921204,71432593,71517090,71537134,71619022,71930653,72446514,72525949,72624913,73118653,73121769,73373900,73517085,73522263,73544604,73904893,74028125,74035736,74100368,74107636,74487842,74620350,74800174,75040416,75106362,75206254,75243751,75553203,75693022,76001159,76043293,76284896,76428349,76457330,76524433,76755076,77587139,78198814,78340084,78381114,78418224,78655467,78923422,79279549,79477779,79595040,80128222,80587933,80716975,80733459,81329422,81720728,81729022,81808894,81946839,82038135,82205291,82375080,82432573,82544259,82615453,83033467,83071393,83290203,83306883,83362914,83402974,83434849,83842682,83887549,84420468,84513779,84901376,84931548,85005656,85074395,85445090,85488123,85538883,85591393,85680349,85702516,85782094,85820508,86212573,86245850,86565949,86808574,87049725,87281422,87507344,87553100,87866752,87989614,88048680,88173148,88220502,88318276,88382494,88551980,88833750,88834813,89323774,89362564,89544420,90007295,90731374,90801313,91199422,91277374,91748796,91935819,91968244,92263435,92444734,92488516,92650328,92671965,92833054,92853040,92978449,93310850,93528196,93884893,93918592,94620049,94756000,95154574,95361890,95463022,95514048,95631363,95772866,96096140,96193659,96232849,96711073,96860370,97344673,98208349,98227534,98266975,98445762,98709316,98850096,98915422,98985949,99054765,99063313,99078434,99225844,99446043,99754414,...,2933778353568004265952224357903352650785857002623150793841797325804937990586556960879944205213648934706949253981600990291146463102285645060017762873716948604021400823014571104569710210382256726896408715995588153805772673064045576552035685037347754292202466083937009465348177683674455648002827130729839602288311780297289012038458407096421744218858010673114003846797976024045586672875777624639063083195952746619296349755354909549900821539554565829596698865348457078829815901967671722928934843013864877181945663824106109127185252300634419330974248401132112540473460586575677909724719960123367510914784267391401155567382864141400336384670240306072809038724559291039866449904311745726682612653552198766297656594819641641534465849649193817770185797931031843869002442264637687598328605676487222760396096488812107579261443247035985352160435212968972378313903333214037161047101175669246619813166676925795616356733296229506241829319652455428312264173211743093736695215817885161503403607347441067263765639887801145075155456594906718516829733301429949146160514332821084958462771726918637391672268172005642194840510070215534385874044692735518456482689648380466546991272427643892954474543124694682610314246085258339543979562023199023836328260197200938087275558356300697266750945422717985650302804635840580857712142388387907747319057563206629549026294498626755443356742363933132777531354177059465861650511726602220485404239907115478890994504712023862848595424678177651653762409462810877978145470485353445272704486854382261898752016914908468125774843871309216122614443497801309161900312717877105507440538596569953405570844703957810466334126552879263500715821834912367679514780396157893207045006255580324357367711840268367390801695300361332204723611678011741564356286446064659121322849953177126271552724914897733385147307311587887453322611085996930072420523731249681593206714593564760350648200240842529370763742210751722614660146834403809220202453506455114752335227194303746127183097050233613994458191542839543991819500380850312535575690906574430925518950401820845498805934883789763110408510883331233437545335761222474280116418417963874289527565576053024051465999114744250637562732663236650167699020172720868532768910548385120385815170261076111466418098780840811347073663360322299984336693956544857171237055659353738619919542971437319105629075543247680986922934264658421300963163909497417946043729126029305003956450256851079623393767845403497058055295143670128470058764873124839553966833886008888031406218459719919265621899867280200106590651641966249696962403031912887215894272676761498509794929701623012570819202236600747035019646296009785693566046964436413030416735348366108494144533472440874359817221897322630357439115919134064971249711644024846612548297692211375848686060274066234958837726365770076219642403378566429873608946622305873746331855864616133556028940313758056474146344299589393996993623766710635429389114789993008093688741228969638674467053375115015376594153976706418745471093683479199585255723131775303737599110120501349871669254402117808959170671151361643504285799834769111420518392530414799589633610581704258869475736046158686924607939730815692916223660158638417462618571965754757411975236876491473742874977672319113575033680995480912844276860920102804392895703712354002075141076981217463046793981179774841184279200167921423029180922059015251001720999392819858451958360189560843253970776133482193406374675184498524046946761486861403132045192778745912125912758491418596672725705163562500481034877711285301307241754902851070457951215577338627784136740822136803847726124390030536284953569064391187501359092534042652550394977014510280783522990099066334402843734261359889058981434987386091989060424792087812454491180735018779441145252458964728273239542209129179747811114556162}
23715 266616776241002979571907684552254372250058562527885981160667516272035471753820: {1634541,2724005,2911533,3053301,3150637,3268806,4003441,4429469,4500910,4852145,5137909,5401092,5560805,5601021,5637982,5822574,5883621,6130789,6300742,6307341,6672966,6775054,7295181,7339870,7718181,8000061,8006206,8054260,8547397,8758270,8807844,9001060,9267333,9539413,9612862,9665112,9805205,10509924,10532661,10672013,10673133,10801272,10873251,11275012,11465476,11515461,11668817,11766246,11922545,12151431,12216741,12260542,12520901,12627605,12777333,13066837,13548964,13732660,14158846,14245126,14307054,15153126,15295342,15783221,16107160,16143622,16479192,16830141,17245592,17515060,17552945,17847934,18006037,18120555,18457373,18539091,18666910,19077214,19328592,19401291,19752333,20350180,20359505,20688454,20963509,21018072,21060245,21063534,21744666,21971661,22400292,22423921,22763806,22929016,23096775,23645331,23961124,24152926,24260821,24420216,24431406,24636560,24899749,25272294,25722910,25795143,26116341,26131462,26222933,26529621,27165124,27360795,27370612,27449926,27472743,27716130,27875014,28043133,28517789,29184848,29279301,29416533,29441045,29563872,29947870,30079717,30204196,30239421,30832805,30867492,30924501,31599061,32061022,32069981,32156133,32284516,32332755,32572375,32748037,32765101,32832954,33259356,33431281,34035526,34305905,34488272,34504180,34705069,35022381,35329254,35351302,35430981,35515469,35571070,35692852,35720417,35937444,36323921,36383541,36385445,36999366,37021444,37324126,37330660,37948174,38301879,38491375,38523364,38799306,38807320,39086850,39214180,39505101,39727073,40425797,40626635,41056774,41092856,41167086,41168686,41225105,41373412,41405016,41692640,42479061,42578341,42685284,43237469,43492957,43619134,43658235,43662534,43690021,43692333,44365533,44671093,44671205,44779493,44796792,44844046,45069581,45172581,45359345,45432709,45529229,45575781,45597475,45801460,45861382,46171501,46189650,46229463,46515741,46568784,46580643,46782910,46785752,46904220,46982404,47057016,47186421,47722533,48315341,48392133,48622180,48751962,48794645,48927381,49139902,49268960,49470126,49578670,49595901,49879141,49881604,50031168,50166245,50396391,50501860,50931141,51731133,51760702,52153252,52389882,52483709,52633971,52929501,52939143,53320180,53475334,53605446,53826862,54431214,54716970,54781294,54873569,54961752,55034182,55035075,55132189,55427580,55718133,56139492,56285064,56576014,56812421,56872487,57179955,58038050,58346616,58364768,58496181,58553574,58632286,58704080,58892181,58984081,59046545,59122752,59494404,59526766,59649617,60154342,60199494,60403288,60407345,60602232,60991952,61831971,61970974,62214037,63320697,63496221,63734854,63984216,64781269,64837822,64903870,65139250,65467757,65516260,65635726,65639943,65660364,66042090,66244533,66284669,66302974,66317681,66513096,66749284,66804509,67117720,67549533,67953699,68071375,68177511,68361848,68541905,68615946,68708333,68979877,68982261,69502533,69645660,69670084,69879121,70199860,70216837,70282221,70444896,70855854,70989293,71505637,71982243,72055654,72078195,72098133,72488814,72616101,72806086,73806581,73816996,73943860,74036632,74038533,74077261,74167701,74227395,74288704,74379949,74608805,74827233,75200206,75281105,75294133,75507435,75889924,76568926,76883408,76907079,77042595,77644894,77829502,77884644,78167100,78489255,78619512,78620260,78637205,78673461,78760270,79175888,79186533,79250508,79827333,80145421,80541264,81069037,81107133,81246410,81685650,82178768,82181662,82250286,82547413,82622686,82894821,82911500,83022333,83291211,83315854,83378240,83574792,83578174,83721872,83931406,84239832,84410854,84632209,84804981,85149454,85807375,86075421,86412934,86493834,87131360,87230884,87372646,87596781,87733429,87789553,88446951,88651505,88732632,88735533,88842157,89072874,89153669,89530566,90337326,90403012,90549934,90608922,91717375,91930755,92451114,92453374,92544670,92625460,92634545,92649406,92743909,92979579,93326872,93426109,93560177,93800520,94021641,94187106,94274781,94344312,94364646,94512324,94769811,95313917,95356120,95484166,95527221,95777421,95943845,96152541,96595352,97026981,97495692,97925105,98022780,98029684,98059472,98251373,98896821,99455101,99493800,99749806,99819214,99824211,...,4400667530352006398928336536855028976178785503934726190762695988707406985879835441319916307820473402060423880972401485436719694653428467590026644310575422906032101234521856656854565315573385090344613073993382230708659009596068364828053527556021631438303699125905514198022266525511683472004240696094759403432467670445933518057687610644632616328287016009671005770196964036068380009313666436958594624793929119928944524633032364324851232309331848744395048298022685618244723852951507584393402264520797315772918495736159163690777878450951628996461372601698168810710190879863516864587079940185051266372176401087101733351074296212100504577005360459109213558086838936559799674856467618590023918980328298149446484892229462462301698774473790726655278696896547765803503663396956531397492908514730834140594144733218161368892164870553978028240652819453458567470854999821055741570651763503869929719750015388693424535099944344259362743979478683142468396259817614640605042823726827742255105411021161600895648459831701717612733184892360077775244599952144923719240771499231627437694157590377956087508402258008463292260765105323301578811067039103277684724034472570699820486908641465839431711814687042023915471369127887509315969343034798535754492390295801407130913337534451045900126418134076978475454206953760871286568213582581861620978586344809944323539441747940133165035113545899699166297031265589198792475767589903330728106359860673218336491757068035794272893137017266477480643614194216316967218205728030167909056730281573392848128025372362702188662265806963824183921665246701963742850469076815658261160807894854930108356267055936715699501189829318895251073732752368551519272170594236839810567509383370486536051567760402551086202542950541998307085417517017612346534429669096988681984274929765689407329087372346600077720960967381831179983916628995395108630785596874522389810071890347140525972300361263794056145613316127583921990220251605713830303680259682672128502840791455619190774645575350420991687287314259315987729250571275468803363536359861646388278425602731268248208902325684644665612766324996850156318003641833711420174627626945811434291348364079536077198998672116375956344098994854975251548530259081302799153365822577680578722755391614167199627148171261217020610495040483449976505040934817285756855583489030607929879314457155978658443613314871521480384401396987631951444745864246126919065593689043957505934675385276619435090651768105245587082942715505192705088147309687259330950250829013332047109327689579878898432849800920300159885977462949374545443604547869330823841409015142247764692394552434518856228803354901120552529469444014678540349070446654619545625103022549162741216800208661311539725832845983945536158673878701097456874567466037269918822446538317063773029090411099352438256589548655114329463605067849644810413419933458810619497783796924200334043410470637084711219516449384090995490435650065953144083672184989512140533111843454458011700580062672523064891230965059628118206640525218799377883584697662955606398665180752024807503881603176713438756006727042465256428699752153667130777588795622199384450415872556388304213604069238030386911909596223539374335490237957626193927857948632136117962855314737210614312466508478670362550521493221369266415291380154206589343555568531003112711615471826194570190971769662261776418800251882134543771383088522876502581499089229787677937540284341264880956164200223290109562012776747786070420142230292104698067789168118868188869137737127895009088557745343750721552316566927951960862632354276605686926823366007941676205111233205205771589186585045804427430353596586781252038638801063978825592465521765421175284485148599501604265601392039833588472152481079137983590637188131718681736771102528169161717878688447092409859313313693769621716671834243}
23716 267558607219624737615761366739807121589581889871320029948450373156383829631361: {686923,1112443,1254139,1752098,1961539,2035706,2102803,2179388,2526163,2667139,3511483,3882044,3932683,4071068,4213123,4358408,4903209,6028963,6307243,6751365,7116026,7201456,7396898,7417483,7468028,7763432,7844828,8101638,8109043,8385163,8409788,8456973,8733861,8897288,8936539,9074203,9451113,9726908,9761443,10009449,10067825,10162581,10290908,10666748,11009805,11251325,11313986,11743792,12009309,12081390,12356444,12886816,12899563,13137405,13211766,13261946,13501590,13847083,14013232,14043548,14093765,14230844,14252083,14331845,14401696,14419293,14497668,15060139,15089893,15194563,15353948,15597403,15688328,15764886,16201908,16288988,16912518,16936205,17036444,17068939,17165825,17198214,17649369,17734939,18390813,18531763,19076072,19193803,19590163,19612706,19722139,20062889,20133950,20204168,20323446,20598990,21169123,21238269,21367689,21460581,21530426,21556990,21562243,21893825,21972256,22216003,22440188,22623098,22729689,22943013,23128243,24160740,24215433,24718788,24813043,24942139,25073186,25344698,25437725,25536742,25771456,25868388,26272590,26336444,26429306,26771901,28000365,28024096,28084712,28615821,28661270,28781539,28992888,29288563,29295548,29541643,29669306,29867056,29951405,30177238,30476066,30525270,30551083,30676939,30795700,31013186,31032681,31430563,31527108,31595301,31931539,32056603,32560288,32575208,32616999,33054523,33600438,33696392,33799939,33956405,34145709,34213265,34393524,34490426,34542763,34821788,35036539,35372828,35529163,35941686,35956249,36143323,36229389,36481060,36630324,36647109,36954840,37390844,37755245,37908441,38584365,39000866,39039068,39187123,39197193,39222044,39418496,39910939,40319228,40355645,40747686,40937533,40991803,41055918,41156656,41174889,41232668,41371898,41574195,41709139,41812521,42423883,42684098,42874844,43017523,43110340,43130225,43491139,43777272,44345808,44616065,44787643,44921805,45297698,45306294,45374083,45958723,46276805,46301238,46425139,46663325,46696508,47105672,47241308,47586139,47916592,48091533,48154205,48156026,48426774,48509150,48511388,48703589,49017725,49199443,49249431,49332488,49428763,49449506,49886539,49889034,50000803,51025939,51053289,51069172,51139483,51366070,51716765,51732408,51756270,52018369,52045243,52115800,52673468,52795706,52852877,52993881,53026953,53356605,53367958,53539278,53906166,54587426,54889448,55068163,55206688,55353146,55499049,55532166,55953763,55986189,55995990,56614939,56638748,56724883,56913712,56922261,57251825,57711139,57785046,58147603,58198959,58210980,58216712,58256444,58482190,58630275,58728005,58821270,58908643,59154044,59233723,59341939,59729056,59816617,60230108,60527563,60767708,60777725,60849403,61384363,61491139,61585161,61586200,61597843,61639284,61750629,61753029,62020988,62060118,62091712,62107524,62130283,62352005,62538960,62554939,62742688,62915228,63127325,63440186,63630044,63716803,64027926,64522844,64782053,65002616,65078683,65191565,65236508,65428701,65493801,65806963,65876393,65960168,66127868,66650225,66708224,67195188,67266069,67272982,67765939,67908188,68175043,68379163,68419706,68702190,68792073,68888203,68974844,69278902,69284475,69408698,69853176,70174365,70178628,70203283,70356330,70473606,70572668,70585524,71306539,71406403,71473928,71625506,71906422,72301939,72574952,72933270,72955960,73127943,73256638,73282336,73341626,73380100,73709853,73903440,74205189,74290844,74368005,74368843,74822406,74852656,75046752,75147883,75250109,75341923,75504110,75632443,75729139,75752790,75780986,76007581,76239940,76692139,76995266,77641053,77647939,77795488,77847341,77964098,77994908,78071432,78229878,78522908,78584823,78691003,78830336,78973963,79162243,79325872,79980270,80213001,80265992,80408169,80740293,80802976,80936539,81029203,81306763,81646821,81661013,81816386,81895325,82075455,82171941,82442628,82551273,82776139,82867363,83141370,83231539,83322403,83436605,83897150,84046723,84095957,84209238,84427596,84520933,84661628,84864021,84945643,85312288,85452310,85802038,85837363,86343098,87057075,87087605,87519924,87547152,87624089,87749825,87830361,87948429,88031086,88056120,88326044,88469323,88555939,88684128,88759913,88924433,88940066,89074123,89241606,89290149,89418139,90066044,90231513,90299241,90604932,90782683,90903348,91036483,91285826,91444633,91487928,91877803,91976348,92220098,92271245,92429825,92462443,92545790,92670044,92794939,92860880,92956461,93126283,93208939,93621139,93709628,93926528,94474472,94862405,94928083,95471906,95602281,95976324,96104260,96130844,96651752,96821468,97249939,97256733,97355805,97644139,97708875,97777346,98130461,98274390,98275325,98453589,98490546,98718044,98738323,98890268,98969860,99063135,99086806,99454461,99769644,99971539,...,5867556707136008531904448715806705301571714005246301587683594651609875981173113921759888410427297869413898507963201980582292926204571290120035525747433897208042801646029142209139420420764513453792817431991176307611545346128091153104071370074695508584404932167874018930696355367348911296005654261459679204576623560594578024076916814192843488437716021346228007693595952048091173345751555249278126166391905493238592699510709819099801643079109131659193397730696914157659631803935343445857869686027729754363891327648212218254370504601268838661948496802264225080946921173151355819449439920246735021829568534782802311134765728282800672769340480612145618077449118582079732899808623491453365225307104397532595313189639283283068931699298387635540371595862063687738004884529275375196657211352974445520792192977624215158522886494071970704320870425937944756627806666428074322094202351338493239626333353851591232713466592459012483658639304910856624528346423486187473390431635770323006807214694882134527531279775602290150310913189813437033659466602859898292321028665642169916925543453837274783344536344011284389681020140431068771748089385471036912965379296760933093982544855287785908949086249389365220628492170516679087959124046398047672656520394401876174551116712601394533501890845435971300605609271681161715424284776775815494638115126413259098052588997253510886713484727866265555062708354118931723301023453204440970808479814230957781989009424047725697190849356355303307524818925621755956290940970706890545408973708764523797504033829816936251549687742618432245228886995602618323800625435754211014881077193139906811141689407915620932668253105758527001431643669824735359029560792315786414090012511160648714735423680536734781603390600722664409447223356023483128712572892129318242645699906354252543105449829795466770294614623175774906645222171993860144841047462499363186413429187129520701296400481685058741527484421503445229320293668807618440404907012910229504670454388607492254366194100467227988916383085679087983639000761700625071151381813148861851037900803641690997611869767579526220817021766662466875090671522444948560232836835927748579055131152106048102931998229488501275125465326473300335398040345441737065537821096770240771630340522152222932836197561681622694147326720644599968673387913089714342474111318707477239839085942874638211258151086495361973845868529316842601926327818994835892087458252058610007912900513702159246787535690806994116110590287340256940117529746249679107933667772017776062812436919439838531243799734560400213181303283932499393924806063825774431788545353522997019589859403246025141638404473201494070039292592019571387132093928872826060833470696732216988289066944881748719634443794645260714878231838268129942499423288049693225096595384422751697372120548132469917675452731540152439284806757132859747217893244611747492663711729232267112057880627516112948292688599178787993987247533421270858778229579986016187377482457939277348934106750230030753188307953412837490942187366958399170511446263550607475198220241002699743338508804235617918341342302723287008571599669538222841036785060829599179267221163408517738951472092317373849215879461631385832447320317276834925237143931509514823950473752982947485749955344638227150067361990961825688553721840205608785791407424708004150282153962434926093587962359549682368558400335842846058361844118030502003441998785639716903916720379121686507941552266964386812749350368997048093893522973722806264090385557491824251825516982837193345451410327125000962069755422570602614483509805702140915902431154677255568273481644273607695452248780061072569907138128782375002718185068085305100789954029020561567045980198132668805687468522719778117962869974772183978120849584175624908982361470037558882290504917929456546479084418258359495622229112324}
23717 268503743621496659321721124894781397519374290903698976900609323723219702003155: {2628147,2724235,3053559,3269082,3813607,4429843,4852555,4950583,5088835,5234827,5448010,5823066,6106602,6301274,6537612,6793003,7552963,7785127,8006882,8858938,9001820,9257707,9335035,9633283,9704290,9806035,10275818,10512235,10674039,10802184,11095347,11121610,11192599,11202042,11275964,11645148,11669803,11767242,12152457,12158635,12261578,12473563,12521959,12601484,12612379,12614682,12863635,13041619,13333435,13345932,13550108,13727287,14590362,14679740,14884027,15436362,15445555,16000122,16012412,16108520,16691563,16871719,16970979,17094794,17516540,17554435,17615688,17678647,17788555,18002120,18122085,18534666,18977299,19078826,19192435,19225724,19330224,19610410,19817649,19892919,20252385,20361235,20531863,21019848,21065322,21295555,21344026,21346266,21567799,21602544,21746502,21813259,22550024,22930952,23030922,23337634,23532492,23647329,23845090,24302862,24433482,24521084,24574123,25041802,25190803,25255210,25368777,25554666,25797321,26133674,26742199,26917987,27097928,27465320,27776023,28050235,28317692,28490252,28503307,28520203,28614108,29321107,29326099,29419059,29484343,30200925,30306252,30485169,30590684,30898485,30990739,31566442,31872823,32214320,32287244,32295639,32335485,32920555,32958384,33157099,33660282,33934647,34491184,35030120,35105890,35695868,36012074,36033943,36241110,36409207,36619435,36914746,37078182,37333820,37609779,38017047,38154428,38305113,38494625,38576359,38609923,38657184,38802582,38829019,38921347,39408885,39504666,39643959,39922819,40429219,40519483,40669123,40700360,40719010,41097787,41217463,41376908,41664979,41796163,41927018,41972827,42036144,42120490,42127068,42915667,42991905,43165927,43213783,43241143,43489332,43527235,43943322,44216035,44503959,44800584,44847842,45265857,45527612,45533083,45601325,45714099,45787905,45858032,46193550,46332547,46519779,46738555,47290662,47750167,47922248,48028267,48305852,48521642,48798835,48840432,48862812,49027555,49273120,49799498,50399035,50400657,50544588,50939623,50944003,51098827,51332779,51445820,51540835,51590286,51735639,52183207,52232682,52262924,52445866,52921219,53059242,53593555,53887925,53912529,54088219,54330248,54721590,54741224,54806539,54878227,54899852,54945486,55432260,55674643,55750028,56086266,56877289,57035578,57715147,58369696,58370635,58501299,58558602,58658263,58833066,58882090,59051635,59127744,59895740,60159434,60161299,60408392,60450283,60478842,60639235,60730519,60909019,61121529,61287019,61329283,61583877,61665610,61734984,61849002,62020843,62057847,62539687,63198122,63503083,63836465,64026147,64122044,64139962,64312266,64569032,64665510,64853923,65144750,65221027,65496074,65530202,65665908,65841835,66518712,66667219,66862562,67687003,67946547,67959441,68071052,68312503,68611810,68839207,68976544,69008360,69410138,69451857,70044762,70232743,70643779,70658508,70702604,70798435,70861962,70995319,71030938,71142140,71385704,71440834,71874888,72059959,72234039,72640161,72647842,72763725,72767082,72770890,72820555,73171843,73942555,73998732,74042888,74174259,74228107,74325847,74648252,74661320,74663863,74833551,75287635,75896348,75959635,76308499,76333723,76603758,76982750,77046728,77049105,77526235,77598612,77614640,77634405,78173700,78336427,78428360,78644035,78749863,79010202,79018423,79193559,79454146,79537555,80051937,80286979,80308917,80653555,80851594,80859249,81253270,81545635,81881139,82113548,82148119,82185712,82334172,82337372,82450210,82659835,82665163,82746824,82810032,83029719,83298249,83385280,83993985,84570283,84885235,84958122,84992107,85156682,85370568,86218555,86474938,86628883,86677569,86775163,86985914,87238268,87316470,87325068,87380042,87384666,87723285,88215835,88217719,88231905,88731066,88780459,89342186,89342410,89493043,89558986,89593584,89667523,89688092,90139162,90345162,90582307,90718690,90865418,91058458,91151562,91194950,91602920,91722764,91725125,92343002,92379300,92458926,92863555,93031482,93090177,93137568,93161286,93565820,93571504,93808440,93964808,94114032,94219543,94372842,94926019,95160279,95299925,95445066,95735299,95958667,96041889,96111523,96630682,96784266,97244360,97250263,97493635,97503924,97589290,97854762,98153635,98279804,98533627,98537920,98639323,98940252,99157340,99191802,99758282,99763208,...,8801335060704012797856673073710057952357571007869452381525391977414813971759670882639832615640946804120847761944802970873439389306856935180053288621150845812064202469043713313709130631146770180689226147986764461417318019192136729656107055112043262876607398251811028396044533051023366944008481392189518806864935340891867036115375221289265232656574032019342011540393928072136760018627332873917189249587858239857889049266064728649702464618663697488790096596045371236489447705903015168786804529041594631545836991472318327381555756901903257992922745203396337621420381759727033729174159880370102532744352802174203466702148592424201009154010720918218427116173677873119599349712935237180047837960656596298892969784458924924603397548947581453310557393793095531607007326793913062794985817029461668281188289466436322737784329741107956056481305638906917134941709999642111483141303527007739859439500030777386849070199888688518725487958957366284936792519635229281210085647453655484510210822042323201791296919663403435225466369784720155550489199904289847438481542998463254875388315180755912175016804516016926584521530210646603157622134078206555369448068945141399640973817282931678863423629374084047830942738255775018631938686069597071508984780591602814261826675068902091800252836268153956950908413907521742573136427165163723241957172689619888647078883495880266330070227091799398332594062531178397584951535179806661456212719721346436672983514136071588545786274034532954961287228388432633934436411456060335818113460563146785696256050744725404377324531613927648367843330493403927485700938153631316522321615789709860216712534111873431399002379658637790502147465504737103038544341188473679621135018766740973072103135520805102172405085901083996614170835034035224693068859338193977363968549859531378814658174744693200155441921934763662359967833257990790217261571193749044779620143780694281051944600722527588112291226632255167843980440503211427660607360519365344257005681582911238381549291150700841983374574628518631975458501142550937606727072719723292776556851205462536496417804651369289331225532649993700312636007283667422840349255253891622868582696728159072154397997344232751912688197989709950503097060518162605598306731645155361157445510783228334399254296342522434041220990080966899953010081869634571513711166978061215859758628914311957316887226629743042960768802793975263902889491728492253838131187378087915011869350770553238870181303536210491174165885431010385410176294619374518661900501658026664094218655379159757796865699601840600319771954925898749090887209095738661647682818030284495529384789104869037712457606709802241105058938888029357080698140893309239091250206045098325482433600417322623079451665691967891072317347757402194913749134932074539837644893076634127546058180822198704876513179097310228658927210135699289620826839866917621238995567593848400668086820941274169422439032898768181990980871300131906288167344369979024281066223686908916023401160125345046129782461930119256236413281050437598755767169395325911212797330361504049615007763206353426877512013454084930512857399504307334261555177591244398768900831745112776608427208138476060773823819192447078748670980475915252387855715897264272235925710629474421228624933016957340725101042986442738532830582760308413178687111137062006225423230943652389140381943539324523552837600503764269087542766177045753005162998178459575355875080568682529761912328400446580219124025553495572140840284460584209396135578336237736377738275474255790018177115490687501443104633133855903921725264708553211373853646732015883352410222466410411543178373170091608854860707193173562504077277602127957651184931043530842350568970297199003208531202784079667176944304962158275967181274376263437363473542205056338323435757376894184819718626627387539243433343668486}
23718 269452196971786068267673551564104374698485522104098740344760691016595941107110: {686981,734297,970757,1112537,1373846,2102981,2224886,2508278,2573381,3230597,3504196,3558617,3699077,3923078,4071412,4205606,4213481,4260197,4358776,4903623,5052326,5334278,6354137,7022966,7764088,7865366,8109737,8142136,8155781,8172015,8426246,8716816,8734599,8845481,9159903,9258437,9451911,9806418,9808037,10219481,10447781,10858217,11252275,11404457,11813381,12010323,12057926,12085637,12614486,13288407,13502730,13577897,13893317,14094955,14232052,14298281,14402912,14556435,14567897,14793796,14834966,14926937,14936056,15195881,15240677,15413727,15526864,15598757,15689656,15751855,15911657,16134917,16203276,16218086,16682415,16770326,16803063,16819576,16913946,16937635,17381477,17467722,17650863,17794576,17873078,18148406,18268037,18349675,18392367,18577577,18902226,18922023,19453816,19522886,19591877,19635881,19731271,20015515,20018898,20064583,20135650,20325162,20581816,20689577,20777177,21333496,21433157,21885543,21895675,22000217,22019610,22217957,22502650,22522457,22627972,22652837,22913381,23130281,23154543,23173637,23487584,23563481,23710687,23779781,24000183,24018618,24032155,24162780,24712888,24815237,25642191,25773632,25799126,25974617,26274810,26423532,26523892,26744297,27003180,27383717,27694166,27801999,27808997,28026464,28063781,28087096,28187530,28461688,28504166,28618239,28657157,28663690,28803392,28838586,28995336,29415615,29586437,29712857,30120278,30179786,30389126,30651355,30707896,31194806,31376656,31529772,31597983,31809257,32016039,32019399,32059481,32226137,32403816,32475881,32577976,32619753,32725337,33098981,33825036,33872410,34072888,34137878,34331650,34396428,34545881,34546383,34792937,35006451,35298738,35397115,35469878,35532377,35573381,35612815,35767635,35942057,36454293,36650223,36759017,36781626,37063526,37562703,37856837,37882815,38152144,38238355,38261957,38331999,38387606,39180326,39200511,39225412,39230981,39444278,40125778,40267900,40359055,40395737,40408336,40646892,40795817,40995557,41035481,41197980,41474117,41931967,42070697,42338246,42467417,42476538,42735378,42921162,43021481,43060852,43113980,43124486,43770917,43787650,43944512,44432006,44619835,44791781,44880376,45246196,45459378,45886026,45962981,46001897,46196357,46256486,46584677,46667275,47349663,47538967,47693035,47898571,48052997,48321480,48322217,48430866,49437576,49471577,49626086,49884278,50005481,50043557,50146372,50490423,50613737,50689396,50727557,50875450,51073484,51144281,51542912,51721135,51736776,51937157,52545180,52658835,52672888,52857343,52858612,53543802,53624297,53773481,53959781,54018111,54361665,54433423,54517481,55221317,55372119,55617273,55959077,55995881,56000730,56048192,56169424,56497903,56510297,56730281,56876777,56909515,57231642,57322540,57558787,57563078,57985776,58203873,58370981,58516037,58577126,58591096,58914281,59083286,59256999,59338612,59671877,59734112,59902810,60354476,60382315,60533381,60952132,61050540,61078515,61102166,61353878,61591400,61603781,61639337,62026372,62065362,62136281,62171717,62348777,62462491,62808197,62861126,62890527,63054216,63180735,63190602,63547481,63863078,64113206,64248281,64307275,64787527,65085017,65119781,65120576,65150416,65233998,65328655,65813381,65914983,66109046,67200876,67271763,67392784,67415887,67499177,67599878,67704281,67874981,67912810,68291418,68385881,68419877,68426530,68589737,68624815,68787048,68928857,68980852,69085526,69290325,69643576,69687535,69907781,70042277,70073078,70243781,70745656,70746281,70935993,71046917,71058326,71446757,71712677,71883372,71912498,71944937,72286646,72403471,72458778,72705317,72782463,72962120,73260648,73294218,73592537,73909680,74017637,74506457,74699247,74701481,74781688,74869675,75187781,75510490,75816882,76507817,76923557,77168730,77385429,77560517,77853919,78001732,78078136,78349023,78352217,78374246,78394386,78444088,78668799,78836992,78887717,79170281,79201637,79588863,79764677,79821878,80152555,80638456,80711290,81345881,81495372,81622757,81875066,81983606,82082385,82111836,82143977,82219207,82235717,82313312,82349778,82418229,82418981,82465336,82601957,82743796,82906277,83058137,83148390,83330981,83418278,83452037,83625042,83904857,84055397,84085481,84103063,84129399,84847766,85088815,85133381,85368196,85553367,85749688,85757417,86035046,86200997,86220680,86260450,86583977,86982278,87292807,87375077,87554544,87837903,87899237,88249599,88323135,88378255,88478597,88507481,88651781,88691616,88927675,88931947,89232130,89575286,89843610,90225881,90239151,90595396,90612588,90718263,90748166,90792281,90820517,91268191,91917446,92001403,92498415,92553610,92602476,92638697,92773503,92850278,93163781,93310315,93326650,93393016,93411497,93576281,93989599,94123481,94211344,94482616,94694597,94797183,94870435,94965317,95172278,95833184,96013481,96183066,96209943,96253637,96308410,96312052,96468399,96784997,96853548,96998265,97018300,97022776,97102277,97339481,97407178,97717125,98035450,98229737,98244111,98281817,98295303,98398886,98498862,98664976,98857526,98899012,99007577,99136517,99316697,99386131,99547781,99773078,99778068,...,13202002591056019196785009610565086928536356511804178572288087966122220957639506323959748923461420206181271642917204456310159083960285402770079932931726268718096303703565569970563695946720155271033839221980146692125977028788205094484160582668064894314911097377716542594066799576535050416012722088284278210297403011337800554173062831933897848984861048029013017310590892108205140027940999310875783874381787359786833573899097092974553696927995546233185144894068056854734171558854522753180206793562391947318755487208477491072333635352854886989384117805094506432130572639590550593761239820555153799116529203261305200053222888636301513731016081377327640674260516809679399024569402855770071756940984894448339454676688387386905096323421372179965836090689643297410510990190869594192478725544192502421782434199654484106676494611661934084721958458360375702412564999463167224711955290511609789159250046166080273605299833032778088231938436049427405188779452843921815128471180483226765316233063484802686945379495105152838199554677080233325733799856434771157722314497694882313082472771133868262525206774025389876782295315969904736433201117309833054172103417712099461460725924397518295135444061126071746414107383662527947908029104395607263477170887404221392740012603353137700379254402230935426362620861282613859704640747745584862935759034429832970618325243820399495105340637699097498891093796767596377427302769709992184319079582019655009475271204107382818679411051799432441930842582648950901654617184090503727170190844720178544384076117088106565986797420891472551764995740105891228551407230446974783482423684564790325068801167810147098503569487956685753221198257105654557816511782710519431702528150111459608154703281207653258607628851625994921256252551052837039603289007290966045952824789297068221987262117039800233162882902145493539951749886986185325892356790623567169430215671041421577916901083791382168436839948382751765970660754817141490911040779048016385508522374366857572323936726051262975061861942777947963187751713826406410090609079584939164835276808193804744626706977053933996838298974990550468954010925501134260523882880837434302874045092238608231596996016349127869032296984564925754645590777243908397460097467733041736168266174842501598881444513783651061831485121450349929515122804451857270566750467091823789637943371467935975330839944614564441153204190962895854334237592738380757196781067131872517804026155829858305271955304315736761248828146515578115264441929061777992850752487039996141327983068739636695298549402760900479657932388848123636330813643607992471524227045426743294077183657303556568686410064703361657588408332044035621047211339963858636875309067647488223650400625983934619177498537951836608476021636103292370623702398111809756467339614951191319087271233298057314769768645965342988390815203548934431240259800376431858493351390772601002130231411911254133658549348152272986471306950197859432251016554968536421599335530363374035101740188017569194673692895178884354619921575656398133650754092988866819195995542256074422511644809530140316268020181127395769286099256461001392332766386866598153351247617669164912640812207714091160735728788670618123006470713872878581783573845896408353888565944211631842937399525436011087651564479664107799245874140462619768030666705593009338134846415478583710572915308986785329256400755646403631314149265568629507744497267689363033812620853023794642868492600669870328686038330243358211260426690876314094203367504356604566607413211383685027265673236031252164656949700783855882587897062829817060780470098023825028615333699615617314767559755137413282291060789760343756115916403191936476777396565296263525853455445798504812796804176119500765416457443237413950771911564395156045210313307584507485153636065341277229577939941081308865150015502729}
23719 270403978835584008157284417864391423113396289425922983408421482571979516157810: {23719,2060769,3337329,3762417,3813929,4380245,4951001,5089265,5235269,5256294,5448470,5850689,5884617,6107118,6308409,6538164,6793577,7124369,7578489,7627214,8001417,8073857,8859686,8926229,9634097,9705110,9901166,10177670,10346849,10469654,10534449,10896020,11384789,11646132,11798049,12213204,12474617,12602548,12639369,13042721,13069049,13075224,13227617,13586006,13728449,13941041,14709627,14717129,15105926,15570254,16013764,16635089,17022089,17717876,17790065,18003640,18009089,18086889,18492245,18515414,18666809,18670070,18921729,19266566,19408580,19612070,20254095,20533601,20551636,21024470,21348078,21604368,21623777,22190694,22243220,22252449,22385198,22404084,22427717,22551928,23290296,23339606,23534484,24264929,24304914,24317270,24327129,24523156,24576209,24903977,24947126,25043918,25155489,25202968,25224758,25229364,25370919,25489217,25727270,26083238,26201583,26666870,26691864,26809617,26869409,27100216,27222609,27454574,28284965,28295201,28353339,28505729,29180724,29284329,29323589,29359480,29768054,29770949,29813777,30028347,30084809,30203475,30487743,30872724,30891110,31604417,31725689,31875521,32000244,32024824,32217040,32770649,32826209,32942657,33029415,33154865,33383126,33743438,33753975,33941958,34189588,34658117,35033080,35108870,35231376,35357294,35577110,36004240,36027927,36244170,36412289,37069332,37954598,38157652,38384870,38451448,38660448,38698689,39128177,39220820,39270329,39412215,39635298,39663017,39785838,40504770,40722470,41063726,41321849,41541249,41799701,42039696,42130644,42281295,42585569,42591110,42688052,42692532,42756249,42995535,43135598,43205088,43217441,43257879,43493004,43500329,43626518,43697417,43717829,44678657,45100048,45180417,45269679,45286481,45583689,45629909,45861904,45899489,46061844,46088777,46336469,46675268,46792209,47064984,47294658,47690180,47754209,47964569,48063509,48605724,48866964,49031765,49042168,49148246,50083604,50334875,50381606,50510420,50737554,50808615,51103169,51109332,51206817,51267209,51461201,51497475,51569009,51594642,52267348,52649369,52948107,53204817,53484398,53826065,53835974,53836817,53892475,54195856,54536537,54930640,55172439,55552046,55595289,55679369,55891817,56100470,56557745,56635384,56980504,57006614,57040406,57228216,57581409,57818441,58642214,58652198,58770489,58838118,58968686,59166417,60188667,60206549,60401850,60612504,60938129,60970338,61181368,61334489,61796970,61902449,61981478,62224601,62682965,63132884,63361745,63507369,63714807,63745646,63767909,63841855,64103067,64381743,64428640,64574488,64591278,64670970,64686729,65109641,65226569,65433977,65681475,65841110,65916768,66073265,66314198,66367109,66648009,67320564,67562081,67869294,68017529,68189067,68318369,68638577,68829039,68982368,68991569,69384729,70060240,70211780,70558649,71099717,71391736,71394257,71653175,72024148,72067886,72157169,72472529,72482220,72646299,72818414,72894089,73238870,73829492,74089817,74156364,74173265,74439129,74539541,74667640,74826417,75030977,75219558,75311729,75443095,76034094,76190165,76308856,76313175,76437161,76610226,76989250,77133029,77152718,77219846,77314368,77532965,77605164,77658038,77691749,77842694,78218177,78817770,79009332,79287918,79845638,80315703,80858438,80968169,81038966,81338246,81400720,81438020,81718889,82195574,82434926,82672289,82753816,83329958,83592326,83800049,83854036,83945654,84001095,84072288,84203417,84240980,84254136,84894929,84932801,84999329,85314161,85831334,85847463,85983810,86226065,86331854,86344617,86427566,86482286,86636297,86782529,86978664,87054470,87600809,87865689,87886644,88122197,88432070,88624929,89007918,89371051,89601168,89695684,89854215,90531714,91055224,91066166,91202650,91281317,91380389,91428198,91575810,91653249,91716064,92030817,92178569,92387100,92665094,92759657,93039558,93098043,93263129,93385409,93477110,93781637,94291689,94581324,94785903,95500334,95664977,95794617,95844496,96056534,96169809,96611704,97043284,97502165,97597670,97680864,97725624,97850997,98055110,98546240,99117809,99163569,99598996,...,17602670121408025595713346147420115904715142015738904763050783954829627943519341765279665231281893608241695523889605941746878778613713870360106577242301691624128404938087426627418261262293540361378452295973528922834636038384273459312214110224086525753214796503622056792089066102046733888016962784379037613729870681783734072230750442578530465313148064038684023080787856144273520037254665747834378499175716479715778098532129457299404929237327394977580193192090742472978895411806030337573609058083189263091673982944636654763111513803806515985845490406792675242840763519454067458348319760740205065488705604348406933404297184848402018308021441836436854232347355746239198699425870474360095675921313192597785939568917849849206795097895162906621114787586191063214014653587826125589971634058923336562376578932872645475568659482215912112962611277813834269883419999284222966282607054015479718879000061554773698140399777377037450975917914732569873585039270458562420171294907310969020421644084646403582593839326806870450932739569440311100978399808579694876963085996926509750776630361511824350033609032033853169043060421293206315244268156413110738896137890282799281947634565863357726847258748168095661885476511550037263877372139194143017969561183205628523653350137804183600505672536307913901816827815043485146272854330327446483914345379239777294157766991760532660140454183598796665188125062356795169903070359613322912425439442692873345967028272143177091572548069065909922574456776865267868872822912120671636226921126293571392512101489450808754649063227855296735686660986807854971401876307262633044643231579419720433425068223746862798004759317275581004294931009474206077088682376947359242270037533481946144206271041610204344810171802167993228341670068070449386137718676387954727937099719062757629316349489386400310883843869527324719935666515981580434523142387498089559240287561388562103889201445055176224582453264510335687960881006422855321214721038730688514011363165822476763098582301401683966749149257037263950917002285101875213454145439446585553113702410925072992835609302738578662451065299987400625272014567334845680698510507783245737165393456318144308795994688465503825376395979419901006194121036325211196613463290310722314891021566456668798508592685044868082441980161933799906020163739269143027422333956122431719517257828623914633774453259486085921537605587950527805778983456984507676262374756175830023738701541106477740362607072420982348331770862020770820352589238749037323801003316053328188437310758319515593731399203681200639543909851797498181774418191477323295365636060568991058769578209738075424915213419604482210117877776058714161396281786618478182500412090196650964867200834645246158903331383935782144634695514804389827498269864149079675289786153268255092116361644397409753026358194620457317854420271398579241653679733835242477991135187696801336173641882548338844878065797536363981961742600263812576334688739958048562132447373817832046802320250690092259564923860238512472826562100875197511534338790651822425594660723008099230015526412706853755024026908169861025714799008614668523110355182488797537801663490225553216854416276952121547647638384894157497341960951830504775711431794528544471851421258948842457249866033914681450202085972885477065661165520616826357374222274124012450846461887304778280763887078649047105675201007528538175085532354091506010325996356919150711750161137365059523824656800893160438248051106991144281680568921168418792271156672475472755476550948511580036354230981375002886209266267711807843450529417106422747707293464031766704820444932820823086356746340183217709721414386347125008154555204255915302369862087061684701137940594398006417062405568159334353888609924316551934362548752526874726947084410112676646871514753788369639437253254775078486866687336972}
23720 271359100818042639428741840845062112665819078462112225058559150145450649904230: {734359,1018111,1373962,1468594,1941514,2225074,2291431,2747692,2996311,3277759,3699391,3839791,4205962,4260559,4449772,4960399,5016556,5146762,5239831,6461194,7008392,7117234,7398154,7846156,7884441,8142824,8156479,8172705,8411212,8426962,8520394,8717552,9160677,9534199,9807246,10104652,10668556,11440821,12132031,12675631,12708274,13289529,13353511,13620025,14045932,14557665,14851749,15241999,15266505,15528176,15704481,15730732,15753185,15913039,16219474,16284272,16311562,16314799,16344030,16715911,16852492,17382991,17433632,17469198,17690962,18319806,18516874,18903822,19612836,19616074,19637599,19732937,20017205,20379009,20438962,20895562,21347671,21716434,22052597,22147345,22504550,22658889,22808914,23175679,23355381,23626762,23712689,23825119,24020646,24115852,24171274,24213919,24260725,25228972,25689545,26019751,26404879,26576814,27005460,27155794,27773121,27786634,27804025,27811471,28005105,28021721,28189910,28464104,28596562,28702039,28805824,28899849,29112870,29135794,29418105,29587592,29669932,29853874,29872112,30391762,30481354,30653945,30827454,31053728,31197514,31379312,31503710,31527397,31536705,31823314,31853839,32022117,32229031,32269834,32406552,32436172,33286041,33364830,33540652,33577797,33606126,33639152,33645017,33827892,33875270,33971359,34342879,34713751,34762954,34935444,35009409,35301726,35330431,35576599,35589152,35746156,35945311,36296812,36457371,36475905,36536074,36558391,36699350,36784734,36803119,37155154,37291711,37420689,37565877,37804452,37837137,37844046,37900831,38590905,38629399,38907632,38992711,39045772,39113671,39124857,39183754,39271762,39462542,40000305,40031030,40037796,40129166,40271300,40650324,40679599,41039239,41163632,41181861,41379154,41554354,42114271,42666992,42736985,42866314,42911897,43301911,43771086,43791350,44000434,44039220,44435914,44652081,45005300,45044914,45255944,45305674,45826762,46006159,46239511,46260562,46309086,46336665,46347274,46588999,46975168,47126962,47401951,47421374,47559562,47697065,47749279,48000366,48037236,48064310,48095959,48325560,49017271,49026025,49425776,49555961,49630474,49857941,50048239,50074689,50615157,50912937,51284382,51547264,51598252,51866671,51949234,52543831,52549620,52663305,52847064,53035941,53047784,53360065,53365665,53488594,53533697,54002119,54006360,54113791,54366255,54767434,55388332,55603998,55617994,56001199,56052928,56127562,56174192,56375060,56502677,56552359,56882191,56923376,56931897,57008332,57101719,57236478,57314314,57327380,57577305,57606784,57677172,57990672,58344085,58412839,58831230,59172871,59172874,59425714,59452947,59612725,59678757,60240556,60359572,60757155,60778252,61083705,61302710,61415792,61595589,61645279,62177719,62389612,62467769,62604505,62753312,63059544,63138025,63195966,63553639,63618514,63886665,64032078,64038798,64079599,64118962,64289479,64330409,64452274,64703397,64807632,64951762,65126119,65155952,65239506,65334185,65438671,65439777,65450674,66197962,66770249,67608391,67650072,67744820,67915759,68024021,68145776,68275756,68426599,68630431,68663300,68792856,69091762,69092766,69585874,69645271,70012902,70597476,70794230,70939756,70941987,71064754,71146762,71225630,71535270,71553631,71752999,71884114,71952079,72409589,72547591,72646591,72908586,72943159,73300446,73518034,73563252,73632631,73722369,73927039,74025031,74127052,74220799,74513911,75125406,75572409,75583111,75713674,75765630,76106331,76304288,76476710,76523914,76547551,76663998,76775212,76931311,77391963,77409391,77600119,77980711,78360151,78360652,78401022,78450824,78461962,78888556,78916105,78927151,79209679,79673321,80226597,80251556,80535800,80612599,80718110,80753961,80791474,80816672,81293784,81591634,81631111,81991114,82070962,82274719,82395960,82457959,82640911,82948234,83054521,83097031,83328069,83460631,83863934,84094159,84141394,84150705,84535241,84676492,84934834,84953076,85470756,85509921,85560609,85707031,85842324,86042962,86121704,86227960,86239471,86248972,86592991,86681191,87541834,87575300,87764725,87889024,87963321,87978297,88257177,88453029,88516759,88689919,88864012,89239670,89583562,89760752,90030185,90492392,90602775,90830119,90918756,91455507,91460117,91673599,91772052,91925962,92003794,92009177,92286865,92392714,92512972,92676271,92695455,92972217,93169354,93334550,93997541,94405999,94699326,95077934,95386070,95618469,95797142,95863351,96023839,96074741,96105994,96264031,96642960,96644434,96662911,96861732,96886917,97006455,97376359,97562549,97927231,98761665,98875152,98943154,99018391,99095791,99173119,99252172,99327559,99394529,99471297,99768556,...,26404005182112038393570019221130173857072713023608357144576175932244441915279012647919497846922840412362543285834408912620318167920570805540159865863452537436192607407131139941127391893440310542067678443960293384251954057576410188968321165336129788629822194755433085188133599153070100832025444176568556420594806022675601108346125663867795697969722096058026034621181784216410280055881998621751567748763574719573667147798194185949107393855991092466370289788136113709468343117709045506360413587124783894637510974416954982144667270705709773978768235610189012864261145279181101187522479641110307598233058406522610400106445777272603027462032162754655281348521033619358798049138805711540143513881969788896678909353376774773810192646842744359931672181379286594821021980381739188384957451088385004843564868399308968213352989223323868169443916916720751404825129998926334449423910581023219578318500092332160547210599666065556176463876872098854810377558905687843630256942360966453530632466126969605373890758990210305676399109354160466651467599712869542315444628995389764626164945542267736525050413548050779753564590631939809472866402234619666108344206835424198922921451848795036590270888122252143492828214767325055895816058208791214526954341774808442785480025206706275400758508804461870852725241722565227719409281495491169725871518068859665941236650487640798990210681275398194997782187593535192754854605539419984368638159164039310018950542408214765637358822103598864883861685165297901803309234368181007454340381689440357088768152234176213131973594841782945103529991480211782457102814460893949566964847369129580650137602335620294197007138975913371506442396514211309115633023565421038863405056300222919216309406562415306517215257703251989842512505102105674079206578014581932091905649578594136443974524234079600466325765804290987079903499773972370651784713581247134338860431342082843155833802167582764336873679896765503531941321509634282981822081558096032771017044748733715144647873452102525950123723885555895926375503427652812820181218159169878329670553616387609489253413954107867993676597949981100937908021851002268521047765761674868605748090184477216463193992032698255738064593969129851509291181554487816794920194935466083472336532349685003197762889027567302123662970242900699859030245608903714541133500934183647579275886742935871950661679889229128882306408381925791708668475185476761514393562134263745035608052311659716610543910608631473522497656293031156230528883858123555985701504974079992282655966137479273390597098805521800959315864777696247272661627287215984943048454090853486588154367314607113137372820129406723315176816664088071242094422679927717273750618135294976447300801251967869238354997075903673216952043272206584741247404796223619512934679229902382638174542466596114629539537291930685976781630407097868862480519600752863716986702781545202004260462823822508267317098696304545972942613900395718864502033109937072843198671060726748070203480376035138389347385790357768709239843151312796267301508185977733638391991084512148845023289619060280632536040362254791538572198512922002784665532773733196306702495235338329825281624415428182321471457577341236246012941427745757163567147691792816707777131888423263685874799050872022175303128959328215598491748280925239536061333411186018676269692830957167421145830617973570658512801511292807262628298531137259015488994535378726067625241706047589285736985201339740657372076660486716422520853381752628188406735008713209133214826422767370054531346472062504329313899401567711765175794125659634121560940196047650057230667399231234629535119510274826564582121579520687512231832806383872953554793130592527051706910891597009625593608352239001530832914886474827901543823128790312090420626615169014970307272130682554459155879882162617730300031005458}
23721 272317574564513105627810624493293377867178162088385042256840523941141025509380: {47438,2060943,2202891,2912271,3337611,3434615,4121538,5562215,5851183,5992811,6132343,6270695,6308943,6674658,6845543,7124971,7524834,7627858,7720143,8760490,9541831,9691791,9807695,9902002,10178530,10470538,10512588,10514015,10674719,10675851,10896940,11097231,11385751,11701378,11769234,12214236,12233771,12616818,12630815,12640443,12780591,13076328,13335695,13587154,13942219,14248738,14710869,15156978,15254428,15787223,16002834,16147714,16493111,17557415,17719372,17852458,19062411,19268194,19410220,19663415,19802332,19900583,20355340,20693698,20939308,21065615,21068898,21571451,21792040,22769578,23292264,23596098,24266983,24329211,24426408,24467343,24516045,24906091,24949234,25205096,25278738,25889143,26085442,26138098,26150448,26203797,26229599,26455234,26536443,27172012,27456898,27479709,27775311,27780731,27882082,28355733,28525031,29419254,29424111,29434258,30144815,30211852,30658443,31140508,31343343,31536215,32027528,32574651,32773423,33270178,33439783,33756825,34044178,34213371,35435752,35440143,35458123,35580130,36007280,36018178,36030969,36173778,36256911,36984490,37030828,37087415,37333618,37340140,37843458,38533132,38582891,38616479,38817160,38932231,39224140,39598951,39865221,40436063,40508190,40526351,40545215,40733691,41067202,41103272,41679951,41925815,42048940,42284865,42696156,42894843,43208736,43247554,43669305,43703691,44381388,44486440,44504898,44682439,44682695,44770396,44780811,44790911,44808168,44855434,45103856,45371015,45540791,45587643,45722031,46183243,46241181,46242391,46332539,46416811,46580592,46679212,46796271,47068968,47255565,47734971,48327623,48404751,48529858,48609828,48634540,48654258,48807215,48861103,49046312,49064971,49152418,49807954,49894252,50047245,50087836,50310978,50339125,50405936,50409189,50449516,50458728,50741838,50812905,50978434,51341471,51454540,52144431,52166476,52192043,52403166,52952589,53317111,53333740,53383728,53619234,53738818,54200432,54445218,54804111,54887543,54909148,55049025,55177101,55732731,56256625,56569930,56590402,56706678,56766069,56826863,57011458,58361448,58568658,58647178,58718960,58775631,58907643,59193813,59536108,59541898,59627554,60046545,60056694,60169618,60193749,60406950,60817783,60919343,60975486,61745448,61782220,62068731,62229883,62331531,63208834,63451378,63751042,64000488,64049648,64299471,64434080,64452271,64497815,64770299,65541298,65652418,65656629,65687025,65885314,66000651,66058830,66309730,66653871,66766252,66821543,67486876,67507950,67567371,67832171,67883916,67958511,68379176,68644471,68725799,68740143,69204671,69235415,69316234,69390843,69463629,69520911,70066160,70217740,70462752,70468825,70690443,70714588,70944151,71007371,71132061,71154220,71260415,71339343,71659225,72000549,72008480,72055854,72096465,72488340,72824578,72900283,73825343,74138664,74240711,74445711,75300695,75356491,75449465,75472991,75909196,75972815,76315304,76769740,76902896,76926573,77320896,77397378,77923851,77987015,78256354,78441640,78540658,78763211,78824430,79180843,79270596,79326034,79571676,79680199,80047979,80165803,80232891,80702423,81009540,81444940,82127452,82151151,82162043,82643698,83082498,83405997,83426991,83599402,84079392,84191343,84261288,84375031,84562590,84681025,85171138,85182220,85344695,85376104,85385064,85512498,85829125,85854717,85971471,85991070,86207503,86271196,86410176,86434882,86515758,86986008,87000658,87253036,87394834,87435658,87756151,87811879,88246845,88674695,88706443,88759311,89138571,89357314,89378597,89508239,89867191,90200096,90360834,90382571,90539358,90572962,90695231,91167378,91259818,91723808,91798978,91954065,92123688,92177554,92502571,92658815,92672938,92767531,93350536,93584418,94129968,94589316,94793949,95380360,95427771,95508418,95929138,95969015,96048117,96058197,96127018,96178443,96424591,96678411,97211448,97427643,97733928,97859259,97950815,98063530,98084336,98176011,98276651,98296492,98356351,98610695,99296943,99790559,...,39606007773168057590355028831695260785609069535412535716864263898366662872918518971879246770384260618543814928751613368930477251880856208310239798795178806154288911110696709911691087840160465813101517665940440076377931086364615283452481748004194682944733292133149627782200398729605151248038166264852834630892209034013401662519188495801693546954583144087039051931772676324615420083822997932627351623145362079360500721697291278923661090783986638699555434682204170564202514676563568259540620380687175841956266461625432473217000906058564660968152353415283519296391717918771651781283719461665461397349587609783915600159668665908904541193048244131982922022781550429038197073708208567310215270822954683345018364030065162160715288970264116539897508272068929892231532970572608782577436176632577507265347302598963452320029483834985802254165875375081127107237694998389501674135865871534829367477750138498240820815899499098334264695815308148282215566338358531765445385413541449680295948699190454408060836138485315458514598664031240699977201399569304313473166943493084646939247418313401604787575620322076169630346885947909714209299603351929499162516310253136298384382177773192554885406332183378215239242322150987583843724087313186821790431512662212664178220037810059413101137763206692806279087862583847841579113922243236754588807277103289498911854975731461198485316021913097292496673281390302789132281908309129976552957238746058965028425813612322148456038233155398297325792527747946852704963851552271511181510572534160535633152228351264319697960392262674417655294987220317673685654221691340924350447271053694370975206403503430441295510708463870057259663594771316963673449535348131558295107584450334378824464109843622959775822886554877984763768757653158511118809867021872898137858474367891204665961786351119400699488648706436480619855249660958555977677070371870701508290647013124264733750703251374146505310519845148255297911982264451424472733122337144049156525567123100572716971810178153788925185585828333843889563255141479219230271827238754817494505830424581414233880120931161801990514896924971651406862032776503402781571648642512302908622135276715824694790988049047383607096890953694777263936772331731725192380292403199125208504798524527504796644333541350953185494455364351049788545368413355571811700251401275471368913830114403807925992519833843693323459612572888687563002712778215142271590343201395617553412078467489574915815865912947210283746484439546734345793325787185333978552257461119988423983949206218910085895648208282701438973797166544370908992440930823977414572681136280229882231550971910669706059230194110084972765224996132106863141634019891575910625927202942464670951201877951803857532495613855509825428064908309877111871107194335429269402018844853573957261813699894171944309305937896028965172445610646803293720779401129295575480054172317803006390694235733762400975648044456818959413920850593578296753049664905609264798006591090122105305220564052707584021078685536653063859764726969194400952262278966600457587986626768223267534934428590420948804060543382187307858297769383004176998299160599794460053742853007494737922436623142273482207186366011854369019412141618635745350721537689225061665697832634895528812198576308033262954693438992323397737622421387859304092000116779028014404539246435751131718745926960355987769202266939210893942447796705888523233491803068089101437862559071383928605477802009610986058114990730074633781280072628942282610102513069813699822239634151055081797019708093756493970849102351567647763691188489451182341410294071475085846001098846851944302679265412239846873182369281031268347749209575809430332189695888790577560366337395514438390412528358502296249372329712241852315734693185468135630939922753522455460908196023831688733819823243926595450046508187}
23722 273279411760683871140859651718553279976664089377684548730856493270263592247441: {71157,1254457,1396117,1468718,2036222,2103337,2667817,2747924,2937188,3883028,4073977,4450148,4494421,4582862,5495384,5992622,6169717,6182307,6555518,7398782,7679582,8249257,8411924,8521118,8899544,8938837,9076537,9351721,9920798,10011987,10033112,10038421,10293524,10312597,10479662,11287251,11441787,12087721,12922388,13038517,13140735,13621175,14016784,14234468,14794921,14796308,14853003,15198517,15267795,15692312,15705807,15735637,15768882,16137721,16285648,16312958,16345410,16539157,16822424,16853924,17040788,17435104,17473321,17552067,17653851,18321354,18801721,18925227,19068035,19068398,19614492,19727317,20209304,20380731,20780821,21337112,21373107,21698857,22054459,22091221,22149215,22352437,22735467,22881642,23004217,23394421,24004251,24221571,24262775,24264062,24752915,24948757,25077817,25351262,25416548,25444175,25979221,26174135,26579058,26620921,26707022,26778687,27240050,28024087,28091864,28902291,28916137,29115330,29703498,30483998,30533010,30685177,31006283,31040547,31056352,31408962,31461464,31506370,31530059,31603347,31826078,32065237,32315221,32438948,32568544,32623124,32629598,32688060,33187897,33431822,33704984,33965015,34154367,34765982,34867264,34938396,35381924,35394147,35661817,35965363,36639612,37033748,37259651,37423851,37620217,37764815,37807644,37918107,38925635,39128163,39207147,39225672,39232148,39275198,39465874,39680821,39682851,40034410,40758018,40877924,40883221,41185347,41481721,41791124,41823123,42435577,42695342,42915523,43432868,44105194,44128881,44151387,44211637,44294690,45009100,45317778,45617828,45620821,46288535,46351358,46438057,46675175,46710762,47253524,47425378,47650238,48041292,48166415,48231704,48342548,48427838,48521450,49030175,49905267,50014837,50457944,50812921,51066267,51153877,51379090,52039502,52561175,52809758,53153628,53370195,53634421,53858197,54010920,54027267,54260667,54311588,54527797,55305721,55476735,55527337,55546242,55573268,55608050,55622942,55962995,56000427,56010210,56043442,56080117,56379820,56741077,56765187,56928208,56960821,57193124,57404078,57508921,57611648,57799698,58225740,58271588,58349015,58599721,58836210,58925557,59175184,59339864,59358997,59707748,59744224,59831779,60762285,60783524,60793175,60962708,61307890,61508917,61600803,61615657,61654908,62107456,62367815,62395028,62609795,62758624,62890921,63007420,63054794,63061895,63073410,63630037,63646628,63707678,64044234,64318175,64458062,64539668,64813104,64871331,64872344,65208095,65893091,66572082,66667175,66729660,66757347,66775891,67081304,67155594,67212252,67278304,67283151,67290034,67655784,67750540,67785877,67888297,67942718,68636435,68685758,68908537,69427502,69525908,69870888,70018818,70123321,70603452,70626421,70660862,71153198,71178304,71427637,71492312,71890622,72323497,72593624,72794787,72914742,72951810,72981387,73072148,73116782,73398700,73410517,73569468,73606238,73607221,73728627,74097721,74310308,74420135,74583422,74704091,74711931,74841378,75073321,75131754,75269183,75466467,75608904,75674274,75688092,75751957,75801662,76026847,76112757,76234537,76467651,77002921,77181810,77227775,77258798,77766697,77815264,77985422,78091544,78227342,78249714,78367508,78543524,78604749,78925084,79092217,80000610,80062060,80075592,80258332,80428851,80542600,80608227,81054037,81300648,81359198,81667827,81681719,82078478,82327264,82363722,82758308,82801657,82892917,83061539,83108708,83348137,83457815,84228542,84253177,84358595,84854895,84885603,85060017,85329721,85333984,85473970,85517187,85732628,85823794,85952917,86603822,87542172,87582700,87646307,87714037,87772175,87852987,87970767,88000868,88078440,88393235,88583797,88670377,88782419,88871828,88942775,89274421,89304162,89312847,89441331,89703721,90010600,90085041,90089828,90254427,90511888,90610425,90611348,91463229,91467859,91653524,92012318,92479022,92491957,92521124,92618172,92673330,92694548,93177998,93238777,93651157,93733417,93897721,93950336,94253924,94307221,94803902,94813251,94842748,94886495,95119124,95177067,95394130,95498558,95626563,95962175,96000732,96074472,96128620,96191918,96651120,97123321,97360597,97754617,98034542,98052050,98155343,98303221,98311947,98478627,98692921,98827971,98848297,98851552,99088245,99111922,99260948,99464595,99715882,99851221,...,52808010364224076787140038442260347714145426047216714289152351864488883830558025295838995693845680824725086571668817825240636335841141611080319731726905074872385214814262279882254783786880621084135356887920586768503908115152820377936642330672259577259644389510866170376267198306140201664050888353137112841189612045351202216692251327735591395939444192116052069242363568432820560111763997243503135497527149439147334295596388371898214787711982184932740579576272227418936686235418091012720827174249567789275021948833909964289334541411419547957536471220378025728522290558362202375044959282220615196466116813045220800212891554545206054924064325509310562697042067238717596098277611423080287027763939577793357818706753549547620385293685488719863344362758573189642043960763478376769914902176770009687129736798617936426705978446647736338887833833441502809650259997852668898847821162046439156637000184664321094421199332131112352927753744197709620755117811375687260513884721932907061264932253939210747781517980420611352798218708320933302935199425739084630889257990779529252329891084535473050100827096101559507129181263879618945732804469239332216688413670848397845842903697590073180541776244504286985656429534650111791632116417582429053908683549616885570960050413412550801517017608923741705450483445130455438818562990982339451743036137719331882473300975281597980421362550796389995564375187070385509709211078839968737276318328078620037901084816429531274717644207197729767723370330595803606618468736362014908680763378880714177536304468352426263947189683565890207059982960423564914205628921787899133929694738259161300275204671240588394014277951826743012884793028422618231266047130842077726810112600445838432618813124830613034430515406503979685025010204211348158413156029163864183811299157188272887949048468159200932651531608581974159806999547944741303569427162494268677720862684165686311667604335165528673747359793531007063882643019268565963644163116192065542034089497467430289295746904205051900247447771111791852751006855305625640362436318339756659341107232775218978506827908215735987353195899962201875816043702004537042095531523349737211496180368954432926387984065396511476129187938259703018582363108975633589840389870932166944673064699370006395525778055134604247325940485801399718060491217807429082267001868367295158551773485871743901323359778458257764612816763851583417336950370953523028787124268527490071216104623319433221087821217262947044995312586062312461057767716247111971403009948159984565311932274958546781194197611043601918631729555392494545323254574431969886096908181706973176308734629214226274745640258813446630353633328176142484188845359855434547501236270589952894601602503935738476709994151807346433904086544413169482494809592447239025869358459804765276349084933192229259079074583861371953563260814195737724961039201505727433973405563090404008520925647645016534634197392609091945885227800791437729004066219874145686397342121453496140406960752070276778694771580715537418479686302625592534603016371955467276783982169024297690046579238120561265072080724509583077144397025844005569331065547466392613404990470676659650563248830856364642942915154682472492025882855491514327134295383585633415554263776846527371749598101744044350606257918656431196983496561850479072122666822372037352539385661914334842291661235947141317025603022585614525256597062274518030977989070757452135250483412095178571473970402679481314744153320973432845041706763505256376813470017426418266429652845534740109062692944125008658627798803135423530351588251319268243121880392095300114461334798462469259070239020549653129164243159041375024463665612767745907109586261185054103413821783194019251187216704478003061665829772949655803087646257580624180841253230338029940614544261365108918311759764325235460600062010916}
23723 274244624132719531888908842672001728085507414557858505135896632856130624461928: {94876,2203077,3054333,3434905,3671485,4121886,4405782,4808461,4853785,5562685,5824542,5993317,6675222,6846121,6869230,6874293,7082413,7650901,7787101,8243076,8778973,8988933,9833277,10514905,10675621,11098173,11124430,11195437,11519373,11672761,11702366,11985622,12264686,12525133,12541390,12615577,12617886,12781677,12866905,13349316,13691086,13730773,14249942,14458093,14719621,14881197,14887801,15049668,15255716,15440286,15719493,15788557,16152985,16875997,17297653,17520980,17683141,17793085,18433477,18495385,18669973,19083662,19383582,19615390,19804004,20137213,20357060,20537077,20941076,21025176,21028030,21067405,21273037,21300985,21349438,21351702,21573277,21793880,22194462,22771502,23126917,23402756,23538468,23653323,24428472,24467542,24469437,24518115,24580381,25233636,25261630,25280886,25493533,25561182,26152656,26671390,26748997,27174308,27482031,27528781,27884438,28299997,28497476,28602597,29328553,29333557,29421738,29491861,30313956,30508856,30998617,31574446,31731061,31770685,31880917,32005668,32295428,32831773,32986222,33332053,33980221,34322463,35114830,35438744,35704916,36396093,36418453,38026893,38124822,38536388,38586157,38619757,38820440,38931241,39134821,39326830,39604664,39669733,39801166,39868587,40060533,40548685,40710680,40778905,40860075,41328853,41387396,41806777,41878616,42131230,42137796,42202741,42223357,42926581,43142902,43224757,43584080,43672995,44150701,44227405,44555247,44794717,45294157,45322153,45539156,45637657,45725997,45799515,45907261,46292185,46344313,46584528,46850221,47113443,47192196,47259555,47739117,47762293,48533966,48639757,48658422,48852816,48934686,48944397,49032090,49040185,49812182,49898468,50147733,50410192,50557476,51097405,51345817,51577741,51778286,51922381,52148973,52170884,52196461,52238905,52276196,52300896,52407594,52459198,52658293,52910468,52934713,53072886,53845933,54291085,54344024,54756637,54820477,54913796,54959418,55550622,55561462,55688821,55764164,56261375,56711466,56763301,57022285,57050062,57144037,58062373,58696141,58838508,58844893,58848222,58868516,58912797,59066905,59198811,59669881,60051615,60289630,60423704,60428185,60745957,61137027,61316886,61344901,61710517,62281016,62555773,62686686,62852281,63072430,63519421,64043013,64055056,65120677,65149302,65546846,66157791,66442035,66540356,66827221,66879566,67513650,67889485,67976667,68088356,68330101,68426742,69103897,69466585,69527037,70066143,70474775,70661737,70871504,70880286,70916246,71138067,71160260,71475357,71491405,72014560,72036356,72061938,72078277,72347556,72425221,72484813,72513822,72641757,72782175,72839485,73968980,74061656,74174830,74247013,74344741,74634685,74667236,74680280,74682901,75324517,75686916,75979405,76203385,76327897,76450117,76546717,77066264,77068635,77165782,77232958,77274937,77346397,77634320,77864462,77993785,78059253,78448280,78731641,78759275,79197902,79214637,79558285,79730442,80165293,80307397,80562757,80674585,80872126,80981893,81016380,81052702,81090430,81467382,81785677,82134404,82206544,83319363,83359902,83412075,83434413,83814253,83851630,84015315,84065163,84097880,84569730,84688175,84947197,85392312,85789686,86090857,86106117,86417472,86495108,86699547,86797261,86907385,87338610,87407382,88240213,88254315,88762776,88803037,88972880,89009796,89195353,89364878,89365390,89515837,89540792,89561622,89581822,89616336,89710868,90207712,90296941,90742030,91081582,91175286,91340185,91444062,91748375,91961835,92036293,92366486,92482362,92484782,92665078,92833622,92887885,92976553,93161184,93358424,93591961,93592542,94137936,94511130,94582191,94602157,94610115,95469942,95561517,95681221,95759917,96066351,96655246,96687093,96809502,96929581,97059716,97219656,97269080,97275277,97308516,97614430,97648921,97722206,97959385,98092624,98129942,98179405,98304836,98656355,98831077,99615908,99764581,99788504,99858123,...,79212015546336115180710057663390521571218139070825071433728527796733325745837037943758493540768521237087629857503226737860954503761712416620479597590357612308577822221393419823382175680320931626203035331880880152755862172729230566904963496008389365889466584266299255564400797459210302496076332529705669261784418068026803325038376991603387093909166288174078103863545352649230840167645995865254703246290724158721001443394582557847322181567973277399110869364408341128405029353127136519081240761374351683912532923250864946434001812117129321936304706830567038592783435837543303562567438923330922794699175219567831200319337331817809082386096488263965844045563100858076394147416417134620430541645909366690036728060130324321430577940528233079795016544137859784463065941145217565154872353265155014530694605197926904640058967669971604508331750750162254214475389996779003348271731743069658734955500276996481641631798998196668529391630616296564431132676717063530890770827082899360591897398380908816121672276970630917029197328062481399954402799138608626946333886986169293878494836626803209575151240644152339260693771895819428418599206703858998325032620506272596768764355546385109770812664366756430478484644301975167687448174626373643580863025324425328356440075620118826202275526413385612558175725167695683158227844486473509177614554206578997823709951462922396970632043826194584993346562780605578264563816618259953105914477492117930056851627224644296912076466310796594651585055495893705409927703104543022363021145068321071266304456702528639395920784525348835310589974440635347371308443382681848700894542107388741950412807006860882591021416927740114519327189542633927346899070696263116590215168900668757648928219687245919551645773109755969527537515306317022237619734043745796275716948735782409331923572702238801398977297412872961239710499321917111955354140743741403016581294026248529467501406502748293010621039690296510595823964528902848945466244674288098313051134246201145433943620356307577850371171656667687779126510282958438460543654477509634989011660849162828467760241862323603981029793849943302813724065553006805563143297285024605817244270553431649389581976098094767214193781907389554527873544663463450384760584806398250417009597049055009593288667082701906370988910728702099577090736826711143623400502802550942737827660228807615851985039667687386646919225145777375126005425556430284543180686402791235106824156934979149831631731825894420567492968879093468691586651574370667957104514922239976847967898412437820171791296416565402877947594333088741817984881861647954829145362272560459764463101943821339412118460388220169945530449992264213726283268039783151821251854405884929341902403755903607715064991227711019650856129816619754223742214388670858538804037689707147914523627399788343888618611875792057930344891221293606587441558802258591150960108344635606012781388471467524801951296088913637918827841701187156593506099329811218529596013182180244210610441128105415168042157371073306127719529453938388801904524557933200915175973253536446535069868857180841897608121086764374615716595538766008353996598321199588920107485706014989475844873246284546964414372732023708738038824283237271490701443075378450123331395665269791057624397152616066525909386877984646795475244842775718608184000233558056028809078492871502263437491853920711975538404533878421787884895593411777046466983606136178202875725118142767857210955604019221972116229981460149267562560145257884565220205026139627399644479268302110163594039416187512987941698204703135295527382376978902364682820588142950171692002197693703888605358530824479693746364738562062536695498419151618860664379391777581155120732674791028876780825056717004592498744659424483704631469386370936271261879845507044910921816392047663377467639646487853190900093016374}
23724 275213223447400100589144884760278445806146776982730099375980556922880499566065: {118595,142314,876419,1112819,1254563,1443443,2291819,2385923,2508914,2792234,2937436,3090683,3700019,3840443,3934019,4072444,4206674,4541483,5333819,5335634,5495848,5874376,5891723,6182829,6494819,6608673,6865283,7189019,7766056,8147954,8249963,8572019,8736813,8900296,8988842,9165724,9260819,10012833,10039283,10085003,10303845,10990768,11985244,12088763,12134123,12339434,12364614,12904019,13111036,13716683,14032019,14797564,14841083,15065363,15244643,15359164,15737003,16498514,16686645,16823848,17042236,17252723,17474843,17553549,17799088,17877674,17978433,18051419,18153074,18397029,18703442,18812085,18847523,18926829,19069645,19508963,19729043,19841596,20023974,20066224,20076842,20536629,20587048,20625194,20695019,20959324,21351419,21374913,21438803,21569819,21901225,22354403,22574502,22658819,22883574,23160429,23439803,24175442,24606419,24755005,24950963,25446325,25844776,25981523,26024363,26077034,26176345,26281470,26623283,26695249,26879483,27242350,27305843,27518723,28033568,28468936,28625493,28664819,28791803,28961003,29075373,29253445,29423085,29589842,29592616,29706006,29720819,30397034,30535590,30855683,31008901,31384624,31411614,31471274,31537764,31542045,31943003,32024157,32027553,32234819,32275442,32318123,32359763,32571296,32625916,32690820,33078314,33291693,33644848,33707848,33967885,33977483,34081576,34157253,34431563,34654081,34720019,34802363,34870208,34946642,35104134,35307702,35418923,35621845,35665043,36565019,36642708,36643789,36701313,37262797,37298483,37379819,37603442,37850454,37867163,37892445,37921329,38110403,38136070,38136796,38341773,38393819,39201419,39228984,39454634,40007085,40086083,40369285,40418608,40687043,40761462,40926923,41561642,41605019,41826657,42479123,42674224,42746214,42914723,43191419,43388819,43397714,43664843,44034133,44108918,44132607,44182442,44298430,44631145,44686643,44704874,45470934,45625043,45664043,45763284,46008434,46131419,46597643,46788842,47361669,47410763,47488019,47551021,47758163,48008502,48066419,48170485,48181883,48443142,48525550,48528124,49479333,49505830,49897514,49905203,50057603,50155634,50171819,50702524,50741819,50833096,50855603,50888350,51385643,51734245,51951803,51958442,52064819,52348270,52628819,52672245,52870741,53116163,53158116,53241842,53414044,53557374,53639483,54480100,54495889,55237019,55975019,56048174,56085443,56183728,56636483,56893019,56923945,56966243,57002843,57187233,57514403,57804582,57832274,58169819,58230660,58641563,58990245,59256419,59406996,59508923,59701749,60694019,60967996,61066020,61336763,61370354,61657163,62012566,62081094,62112704,62373085,62817924,62922928,63012740,63060118,63196845,63206694,63249443,63636203,63652156,64130474,64630442,64714353,64803949,64877896,65137088,65213605,65246248,65259196,65345245,65347283,65376120,65520803,65728763,65971019,66138085,66375794,66863644,67409968,67432981,67621643,67929083,67930030,68308734,68609963,68642245,68949203,69531964,69705205,69734528,69876792,70163843,70633403,70763848,70788294,71323634,71468003,71567819,71930726,72132083,72562019,72727019,72800949,72825923,72987633,73279224,73402029,73548135,73585645,73647323,73712819,74067496,74105123,74519302,74528819,74626403,74718273,74847702,75080843,75240434,75529630,75615288,75662819,75836214,76242203,76723043,77010683,77488643,77667429,77679323,77806283,77851270,77873653,78059819,78256326,78348193,78414294,78451344,78464296,78550396,78611391,78688797,78931748,79006019,79319819,79361642,79365702,79609329,80068820,80876819,81278363,81516036,81688621,81755848,81766442,82261019,82370694,82439127,82627403,82810163,82931843,82963442,83175445,83265803,83325933,83342193,83477819,83582248,83646246,84081419,84124381,84871154,84891203,85067199,85110445,85368323,85390684,85575093,85784123,85831046,85873019,86404883,86699243,86758019,86865736,87314941,87402443,87490019,87653713,87723203,88013963,88210388,88257762,88272333,88286653,88302774,88423274,88506419,88589380,88593083,88708523,88789921,88950325,88954489,89025323,89741723,90018200,90045445,90140723,90434445,90635556,91018643,91235656,91241642,91291333,91975329,92461225,92577070,92668283,92702716,92751419,92876114,92945123,93166019,93334045,93350350,93421524,93523883,93770843,93935123,94030029,94507048,94608645,94806419,94850756,95077019,95300476,95937563,96082584,96091009,96332830,96463408,96685096,96736883,96855676,97042900,97292123,97397483,97607819,97723953,97948523,98060350,98163637,98320269,99117443,99169019,99426419,99810534,99862163,...,118818023319504172771065086495085782356827208606237607150592791695099988618755556915637740311152781855631444786254840106791431755642568624930719396385536418462866733332090129735073263520481397439304552997821320229133793259093845850357445244012584048834199876399448883346601196188815453744114498794558503892676627102040204987557565487405080640863749432261117155795318028973846260251468993797882054869436086238081502165091873836770983272351959916098666304046612511692607544029690704778621861142061527525868799384876297419651002718175693982904457060245850557889175153756314955343851158384996384192048762829351746800479005997726713623579144732395948766068344651287114591221124625701930645812468864050035055092090195486482145866910792349619692524816206789676694598911717826347732308529897732521796041907796890356960088451504957406762497626125243381321713084995168505022407597614604488102433250415494722462447698497295002794087445924444846646699015075595296336156240624349040887846097571363224182508415455946375543795992093722099931604198707912940419500830479253940817742254940204814362726860966228508891040657843729142627898810055788497487548930759408895153146533319577664656218996550134645717726966452962751531172261939560465371294537986637992534660113430178239303413289620078418837263587751543524737341766729710263766421831309868496735564927194383595455948065739291877490019844170908367396845724927389929658871716238176895085277440836966445368114699466194891977377583243840558114891554656814533544531717602481606899456685053792959093881176788023252965884961660953021056962665074022773051341813161083112925619210510291323886532125391610171778990784313950891020348606044394674885322753351003136473392329530868879327468659664633954291306272959475533356429601065618694413575423103673613997885359053358202098465946119309441859565748982875667933031211115612104524871941039372794201252109754122439515931559535444765893735946793354273418199367011432147469576701369301718150915430534461366775556757485001531668689765424437657690815481716264452483517491273744242701640362793485405971544690774914954220586098329510208344714945927536908725866405830147474084372964147142150821290672861084331791810316995195175577140877209597375625514395573582514389933000624052859556483366093053149365636105240066715435100754203826414106741490343211423777977559501531079970378837718666062689008138334645426814771029604186852660236235402468724747447597738841630851239453318640203037379977361556001935656772383359965271951847618656730257686944624848104316921391499633112726977322792471932243718043408840689646694652915732009118177690582330254918295674988396320589424902059674727731877781608827394012853605633855411572597486841566529476284194724929631335613321583006287808206056534560721871785441099682515832927917813688086895517336831940409881162338203387886726440162516953409019172082707201287202926944133370456878241762551780734890259148994716827794394019773270366315915661692158122752063236056609959191579294180907583202856786836899801372763959880304669802604803285771262846412181630146561923574893308149012530994897481799383380161228559022484213767309869426820446621559098035563107058236424855907236052164613067675184997093497904686586436595728924099788864080316976970193212867264163577912276000350337084043213617739307253395156237780881067963307606800817632681827343390117665569700475409204267304313587677214151785816433406028832958174344972190223901343840217886826847830307539209441099466718902453165245391059124281269481912547307054702943291073565468353547024230882214425257538003296540555832908037796236719540619547107843093805043247628727428290996569087666371732681099012186543315171237585075506888748116989136725556947204079556404406892819768260567366382724588071495066201459469731779786350139524561}
23725 276185221512260768195775741827657441721349567267829027822592742908416118268083: {189752,213471,3671795,3763371,4188351,4406154,4808867,5090555,5140079,6108666,6310011,6795299,6869810,7083011,7342970,7651547,7787759,8003451,8243772,8551007,8811564,9616922,9636539,9707570,11125370,11196383,11457155,11649084,11986634,12221931,12477779,12616643,13046027,13230971,13350444,13483263,13692242,13738460,13748586,14164826,14720867,14889059,14981555,15301802,15574202,16388795,16486152,16639307,16877423,17557946,17977866,18013667,18496955,18509151,18546921,19198955,19332671,19666554,21029810,21302795,21351242,22196346,22248860,22390874,22614179,22740143,23038746,23345522,23404732,23971244,24271091,24529372,24747771,24801995,24910319,25050266,25082780,25231154,25235772,25495691,25563354,25733810,25893539,26199155,26698632,26816511,27229611,27331811,27382172,27461546,28055163,28499884,28916186,29439242,29494367,29762394,29775602,29821379,30035961,30099336,30115263,30511432,30880572,30937791,31438986,31577114,31612451,31733747,32305970,32778971,33445451,33751994,33861753,34325361,34595306,34666931,35041960,35366282,35464127,35586170,36263163,36866954,36990770,37253471,37339946,38167324,38767164,39115551,39138143,39230780,39422205,39608008,39673091,40158443,40274426,40682939,40714120,40782395,40863525,41074154,41882152,42050352,42056060,42134810,42546074,42601970,42698876,42703404,42922991,43146554,43511387,43587760,43728947,44384763,44388924,44478959,44559009,44690003,45543004,45595551,45641531,45803385,45911147,46191071,46250243,46253834,46805512,47076936,47117421,47206911,47306646,47670995,47976767,48413163,48856944,48935084,48938874,49036230,49073279,49160762,49617471,49900331,50009891,50467272,50523260,50561772,50654171,50911379,50987066,51122364,51582107,51994223,52305312,52419963,52656201,52939211,52961553,53326139,53342780,53497994,53850491,54348616,54964062,55057562,55368443,55768876,55906031,56405163,56599994,56768159,56775681,56994952,57090467,57204105,57205194,58657106,58667114,58843476,58983722,59081123,59147651,59181951,59931551,60470819,60627912,60660155,61017712,61142193,61918367,61997234,62226923,62240447,62342463,63148892,63378155,63462122,63541370,63761834,64011336,64119321,64590856,64809059,65096571,65663546,65972444,66163377,66273663,66383987,66447645,66664106,66689867,66767555,67057311,67960442,68100125,68206401,68644926,68656259,69009107,69012651,70183263,70229660,70246667,70472291,70877488,71409832,71536367,72012753,72664713,72788325,72792186,72836906,72930611,72940703,73134467,73869683,74108651,74258745,74689247,74846271,75233451,75330911,76007519,76053786,76209995,76249644,76332525,77072776,77172314,77239514,77640880,77711507,77862482,77937663,78269642,78522405,78653660,78765925,79209328,79339466,79530947,79565195,79602332,79737174,79831199,79862763,80121066,80179391,80336061,81097370,81421360,81557810,81573995,81720150,82604243,82657706,82693667,82774792,83579555,83613554,83757232,84072261,84224831,84262460,84275592,84283739,84405482,84446714,84599459,85593443,85853162,86285804,86449514,86706873,86748411,86914955,87168160,87345990,87623087,87826763,87994187,88247711,88301402,88454810,89110494,89589434,90290411,90588314,90644306,91078312,91275314,91304531,91451994,91599030,91814522,92055531,92584370,92688626,92783279,93018849,93121641,93169056,93286847,93357179,93700442,94226886,94384392,94519110,94590177,94810041,94958267,95045279,95210531,95478234,95524586,95689343,96195711,96945663,97067932,97253219,97279514,97316844,97705632,97869372,97888794,98064180,98080370,98187995,98664685,98783891,99563691,99582563,99624364,99796936,...,158424031092672230361420115326781043142436278141650142867457055593466651491674075887516987081537042474175259715006453475721909007523424833240959195180715224617155644442786839646764351360641863252406070663761760305511724345458461133809926992016778731778933168532598511128801594918420604992152665059411338523568836136053606650076753983206774187818332576348156207727090705298461680335291991730509406492581448317442002886789165115694644363135946554798221738728816682256810058706254273038162481522748703367825065846501729892868003624234258643872609413661134077185566871675086607125134877846661845589398350439135662400638674663635618164772192976527931688091126201716152788294832834269240861083291818733380073456120260648642861155881056466159590033088275719568926131882290435130309744706530310029061389210395853809280117935339943209016663501500324508428950779993558006696543463486139317469911000553992963283263597996393337058783261232593128862265353434127061781541654165798721183794796761817632243344553941261834058394656124962799908805598277217253892667773972338587756989673253606419150302481288304678521387543791638856837198413407717996650065241012545193537528711092770219541625328733512860956969288603950335374896349252747287161726050648850656712880151240237652404551052826771225116351450335391366316455688972947018355229108413157995647419902925844793941264087652389169986693125561211156529127633236519906211828954984235860113703254449288593824152932621593189303170110991787410819855406209086044726042290136642142532608913405057278791841569050697670621179948881270694742616886765363697401789084214777483900825614013721765182042833855480229038654379085267854693798141392526233180430337801337515297856439374491839103291546219511939055075030612634044475239468087491592551433897471564818663847145404477602797954594825745922479420998643834223910708281487482806033162588052497058935002813005496586021242079380593021191647929057805697890932489348576196626102268492402290867887240712615155700742343313335375558253020565916876921087308955019269978023321698325656935520483724647207962059587699886605627448131106013611126286594570049211634488541106863298779163952196189534428387563814779109055747089326926900769521169612796500834019194098110019186577334165403812741977821457404199154181473653422287246801005605101885475655320457615231703970079335374773293838450291554750252010851112860569086361372805582470213648313869958299663263463651788841134985937758186937383173303148741335914209029844479953695935796824875640343582592833130805755895188666177483635969763723295909658290724545120919528926203887642678824236920776440339891060899984528427452566536079566303642503708811769858683804807511807215430129982455422039301712259633239508447484428777341717077608075379414295829047254799576687777237223751584115860689782442587213174883117604517182301920216689271212025562776942935049603902592177827275837655683402374313187012198659622437059192026364360488421220882256210830336084314742146612255439058907876777603809049115866401830351946507072893070139737714361683795216242173528749231433191077532016707993196642399177840214971412029978951689746492569093928828745464047417476077648566474542981402886150756900246662791330539582115248794305232133051818773755969293590950489685551437216368000467116112057618156985743004526874983707841423951076809067756843575769791186823554092933967212272356405751450236285535714421911208038443944232459962920298535125120290515769130440410052279254799288958536604220327188078832375025975883396409406270591054764753957804729365641176285900343384004395387407777210717061648959387492729477124125073390996838303237721328758783555162310241465349582057753561650113434009184997489318848967409262938772741872542523759691014089821843632784095326754935279292975706381800186032748}
23726 277160630175732143137532924527701249693230333221222088322445143554549605359495: {166033,237190,284628,876493,1752838,2225638,2292013,2433169,2509126,2886886,2997073,3840769,4583638,4771846,5017828,5380813,5584468,5874872,6181366,6609231,7400038,7680886,7868038,8144888,8413348,9082966,9162999,10085869,10304715,10633933,10667638,10671268,10991696,11014455,11590273,11748752,11783446,12135169,12365658,12989638,13217346,13730566,14378038,14425383,14561355,15514669,15532112,16295908,16319053,16499926,16688055,16853869,17144038,17173075,17473626,17800592,17977684,17979951,18331448,18521638,20025666,20078566,20170006,20538363,20607690,20622879,20959633,21247239,21981536,22921453,22952703,23361303,23970488,24177526,24268246,24608593,24678868,24729228,25808038,26026669,26222072,26336919,26697503,26966799,27433366,27811075,28064038,28709713,29255915,29499831,29595128,29682166,29964055,30130726,30489286,30661715,30718328,31353475,31474006,31544715,31737169,32026863,32237713,32362669,32997028,33294519,33373290,33586311,33647696,34084472,34227715,34505446,34558119,34657007,34723153,34949686,34970113,35018283,35107098,35340013,35598176,35624855,35755348,35956866,36102838,36306148,36646883,36690769,36794058,37406884,37423873,37575399,37624170,37695046,37846731,37853658,37911169,38139290,38345031,38600715,39017926,39124369,39245293,39458086,39683192,40047948,40132448,40153684,40810753,40954823,41073258,41174096,41192319,41250388,41390038,41918648,42702838,42749826,42877606,43139638,43195393,43374279,43432273,43802450,44037851,44158863,44494669,44643591,44663403,44708806,45149004,45317638,45668269,45767148,46135693,46320858,46879606,47158479,47365671,47415169,47555039,47709155,48109393,48350884,48458955,48724159,49038475,49145869,49212838,49510010,49870583,49901926,50176513,50627991,50892650,51689552,51892959,51963046,52040339,52048726,52154068,52352690,52562940,52570075,53049423,53246566,53373595,53379255,53390498,53758966,53793793,54129133,54484700,54611686,55037446,55300431,55486155,56009919,56017153,56067136,56516999,56898433,56928755,56937872,57008269,57250986,57329638,57583606,57922006,57993553,58150746,58506890,58538413,58846170,59179684,59185232,59412012,59441638,60411639,60699853,60794068,61071180,61168855,61342669,61611231,61711366,62017802,62483603,62514433,62769248,62823228,62942548,63075528,63084090,63154075,63202215,63819111,63886006,63902955,64048314,64055106,64469638,64550884,64636246,64719526,64719831,65040769,65142592,65251832,65381640,65977453,66156628,66583386,66678475,67289696,67415696,67438679,67730833,67935770,67954966,68163152,68314506,68650669,68863126,69308162,69380751,69440038,69604726,69711095,69740416,69893284,70069933,70208268,70615404,70837846,70959969,71243690,71330086,72172369,72427943,72668269,73063693,73130038,73285416,73287578,73402626,73408311,73554345,73741143,74047213,74525594,74596966,74633869,74759638,75206884,75700908,75734326,75784890,75842658,76220806,76272140,76273592,76480599,76683546,76787638,77432833,78383953,78402838,78457968,78909268,78936115,79327873,79693523,80014170,80172166,80246991,80738570,80837216,80916013,81374086,81522924,81853846,82300033,82446093,82465555,82586343,82666369,83123284,83210038,83486413,83653314,84120193,84899991,84958246,85348448,85492428,85807791,85829446,86382838,86620033,86708269,86777638,86795428,86796433,87322319,87329686,87787075,87985659,88000671,88068266,88217836,88265214,88364884,88475583,88544593,88596860,88804333,89262290,89373286,89409748,90941868,91028269,91250086,91299047,91328086,91483343,91526568,92016868,92032499,92262838,92593319,92705869,92995851,93195286,93203533,93577684,94021367,94723338,94821526,94976038,95102042,95193183,95312055,95516326,95642751,96017004,96099143,96132838,96340970,96363766,96455053,96773869,96886284,97051100,97056248,97587287,98272513,98317075,98495319,98958666,99011660,99128269,99205633,99419723,99437293,99502915,99795028,99810406,99996159,...,237636046639008345542130172990171564713654417212475214301185583390199977237511113831275480622305563711262889572509680213582863511285137249861438792771072836925733466664180259470146527040962794878609105995642640458267586518187691700714890488025168097668399752798897766693202392377630907488228997589117007785353254204080409975115130974810161281727498864522234311590636057947692520502937987595764109738872172476163004330183747673541966544703919832197332608093225023385215088059381409557243722284123055051737598769752594839302005436351387965808914120491701115778350307512629910687702316769992768384097525658703493600958011995453427247158289464791897532136689302574229182442249251403861291624937728100070110184180390972964291733821584699239385049632413579353389197823435652695464617059795465043592083815593780713920176903009914813524995252250486762643426169990337010044815195229208976204866500830989444924895396994590005588174891848889693293398030151190592672312481248698081775692195142726448365016830911892751087591984187444199863208397415825880839001660958507881635484509880409628725453721932457017782081315687458285255797620111576994975097861518817790306293066639155329312437993100269291435453932905925503062344523879120930742589075973275985069320226860356478606826579240156837674527175503087049474683533459420527532843662619736993471129854388767190911896131478583754980039688341816734793691449854779859317743432476353790170554881673932890736229398932389783954755166487681116229783109313629067089063435204963213798913370107585918187762353576046505931769923321906042113925330148045546102683626322166225851238421020582647773064250783220343557981568627901782040697212088789349770645506702006272946784659061737758654937319329267908582612545918951066712859202131237388827150846207347227995770718106716404196931892238618883719131497965751335866062422231224209049743882078745588402504219508244879031863119070889531787471893586708546836398734022864294939153402738603436301830861068922733551113514970003063337379530848875315381630963432528904967034982547488485403280725586970811943089381549829908441172196659020416689429891855073817451732811660294948168745928294284301642581345722168663583620633990390351154281754419194751251028791147165028779866001248105719112966732186106298731272210480133430870201508407652828213482980686422847555955119003062159940757675437332125378016276669290853629542059208373705320472470804937449494895195477683261702478906637280406074759954723112003871313544766719930543903695237313460515373889249696208633842782999266225453954645584943864487436086817681379293389305831464018236355381164660509836591349976792641178849804119349455463755563217654788025707211267710823145194973683133058952568389449859262671226643166012575616412113069121443743570882199365031665855835627376173791034673663880819762324676406775773452880325033906818038344165414402574405853888266740913756483525103561469780518297989433655588788039546540732631831323384316245504126472113219918383158588361815166405713573673799602745527919760609339605209606571542525692824363260293123847149786616298025061989794963598766760322457118044968427534619738853640893243118196071126214116472849711814472104329226135350369994186995809373172873191457848199577728160633953940386425734528327155824552000700674168086427235478614506790312475561762135926615213601635265363654686780235331139400950818408534608627175354428303571632866812057665916348689944380447802687680435773653695660615078418882198933437804906330490782118248562538963825094614109405886582147130936707094048461764428850515076006593081111665816075592473439081239094215686187610086495257454856581993138175332743465362198024373086630342475170151013777496233978273451113894408159112808813785639536521134732765449176142990132402918939463559572700279049122}
23727 278139461327280969974587711407457111965738936142398014269606780542119109022139: {355785,379504,426942,2629257,3338457,3763689,4330329,5140513,6272285,6875457,6980585,7126777,7157769,7343590,7526742,7556153,8376702,8551729,8812308,9261617,9272049,9617734,10181110,10280158,10516685,11100057,11388637,11521329,11802057,12217332,12236873,12620022,13232089,13339085,13590598,13624449,13739620,13795529,13945753,14166022,14685940,15303094,15575518,16001457,16006902,16040017,16487544,16497293,16640713,17102014,17623128,17675169,18548487,18906737,19233844,19273078,19415140,19484457,19826019,19905629,20369885,20595849,20974177,21567057,21576929,22250740,22314209,22392766,22472105,22914310,22944313,23130833,23298168,23973268,24443862,24749889,24955558,25233286,25716057,25895737,26092054,26210439,26461942,26700888,26878537,26966526,27384484,27476920,27497172,27782457,27787793,28329652,29338529,29441734,29778118,29823913,29963110,30038499,30117849,30255009,30603604,30848585,30911535,31148404,32777590,32972304,33278614,33337697,33754846,34722793,35115892,35467129,35955732,36027334,36266289,36402369,36678817,36993910,37018302,37093842,38397910,38592689,38626313,38665342,38712057,39333108,40536653,41150049,41246285,42059620,42096057,42605590,42702484,42933857,43259513,44392692,44497720,44523249,44694185,44781748,45196089,45228358,45382685,45480286,45733929,46077492,46254169,46344353,46691044,46758605,46809464,47211009,47942488,48079837,48542182,48647993,48873529,49058744,49077433,49495542,49603990,49820638,50059935,50100532,50165560,50192105,50462308,50471544,50991382,51126708,51354509,51467620,51562985,51758169,51787078,52205297,52398310,52424529,52660647,53330653,53397264,53458849,53633022,53935299,54154257,54459222,54663622,54764344,54829769,54923092,55191087,56110326,56436255,56542569,56780487,56900953,56999768,57095353,57153713,57208935,57832372,58526889,58561417,58854857,58878484,58988734,59187129,59524788,59551204,59642758,59680013,60071922,60198672,60230526,60438605,60934829,61022864,61609887,61761144,61875582,61963129,62085057,62877972,63154228,63224902,63467494,64054257,64124739,64316409,64611940,64709457,65192585,65557942,65703675,66318593,66739393,66890902,67063209,67503988,67585033,67723506,67976457,68105875,68650722,69190612,69222317,69333862,69379673,69481287,70083920,70319409,70732564,70928254,70962193,71172340,71604833,72526326,73540909,73733908,73819257,73974605,73981540,74259617,74265015,74506942,74679892,74852889,75332449,75992585,76334648,76338975,77534328,77944569,78073089,78231102,78276286,78461560,78529035,78678185,78783233,78844410,79216016,79346182,79869849,80085747,80316886,80321009,80548852,80638449,80688605,81365878,81428240,81564790,81592313,81727050,81917529,82148308,82182929,82556169,82695785,83764304,84100704,84112120,84269620,84675277,84924217,85092148,85203940,85397752,85406808,85845982,85876479,85994457,86202649,86293108,86375409,86883009,87022774,87175520,87226119,87366605,87457894,87760335,88269255,88729417,88769526,88777848,88818089,88887529,88957918,89118018,89162457,89199473,89380006,89531033,90405617,91086008,91191102,91283062,91606770,91822294,92236793,92382142,92500486,92507668,92567049,93026703,93474577,93607853,93611024,93629849,94008605,94153872,94199473,94234842,94413822,94613292,94626135,95102173,95340175,95341990,95829009,95953534,96072471,96082659,96449113,96704457,96826326,96954369,97079289,97713888,97870168,97877748,98072460,98146558,98301929,98321524,98636585,99234942,99800662,99816233,99875079,...,356454069958512518313195259485257347070481625818712821451778375085299965856266670746913220933458345566894334358764520320374295266927705874792158189156609255388600199996270389205219790561444192317913658993463960687401379777281537551072335732037752146502599629198346650039803588566446361232343496383675511678029881306120614962672696462215241922591248296783351467385954086921538780754406981393646164608308258714244506495275621510312949817055879748295998912139837535077822632089072114335865583426184582577606398154628892258953008154527081948713371180737551673667525461268944866031553475154989152576146288488055240401437017993180140870737434197187846298205033953861343773663373877105791937437406592150105165276270586459446437600732377048859077574448620369030083796735153479043196925589693197565388125723390671070880265354514872220287492878375730143965139254985505515067222792843813464307299751246484167387343095491885008382262337773334539940097045226785889008468721873047122663538292714089672547525246367839126631387976281166299794812596123738821258502491437761822453226764820614443088180582898685526673121973531187427883696430167365492462646792278226685459439599958732993968656989650403937153180899358888254593516785818681396113883613959913977603980340290534717910239868860235256511790763254630574212025300189130791299265493929605490206694781583150786367844197217875632470059532512725102190537174782169788976615148714530685255832322510899336104344098398584675932132749731521674344674663970443600633595152807444820698370055161378877281643530364069758897654884982859063170887995222068319154025439483249338776857631530873971659596376174830515336972352941852673061045818133184024655968260053009409420176988592606637982405978993901862873918818878426600069288803196856083240726269311020841993656077160074606295397838357928325578697246948627003799093633346836313574615823118118382603756329262367318547794678606334297681207840380062820254598101034296442408730104107905154452746291603384100326670272455004595006069296273312973072446445148793357450552473821232728104921088380456217914634072324744862661758294988530625034144837782610726177599217490442422253118892441426452463872018583252995375430950985585526731422631628792126876543186720747543169799001872158578669450098279159448096908315720200146305302262611479242320224471029634271333932678504593239911136513155998188067024415003936280444313088812560557980708706207406174242342793216524892553718359955920609112139932084668005806970317150079895815855542855970190773060833874544312950764174498899338180931968377415796731154130226522068940083958747196027354533071746990764754887024965188961768274706179024183195633344826482182038560816901566234717792460524699588428852584174788894006839964749018863424618169603682165615356323299047547498783753441064260686552010495821229643487014610163660179320487550860227057516248121603861608780832400111370634725287655342204670777446984150483383182059319811098947746985076474368256189708169829877574737882542722749608570360510699404118291879640914009407814409857313788539236544890439685770724679924447037592984692445398150140483685677067452641301929608280461339864677294106689321174709274567721708156493839203025554991280493714059759309787186772299366592240950930910579638601792490733736828001051011252129640853217921760185468713342643203889922820402452898045482030170352996709101426227612801912940763031642455357449300218086498874523034916570671704031520653660480543490922617628323298400156707359495736173177372843808445737641921164108829873220696405060641072692646643275772614009889621667498724113388710158621858641323529281415129742886182284872989707262999115198043297036559629945513712755226520666244350967410176670841612238669213220678459304781702099148173764214485198604378409195339359050418573683}
23728 279121726897551329103123011406206881526318575375316778534770184413712232023182: {332066,474380,569256,640413,971167,1396471,1752986,2386327,3505676,3934687,4215271,4451276,4495567,4584026,4635607,4866338,5018252,5773772,5994146,6310471,6588607,7282687,7681538,8389471,9078871,9167276,9354127,9543692,10035656,10041007,10452271,10761626,11015385,11168936,11290113,11749744,12362732,12565053,13177471,13218462,14426601,14798767,14800076,14933407,15271665,15361772,15420237,15736076,16141927,16289776,16826696,17174525,18165932,18325998,18357425,18806647,18930033,18939127,19600447,20171738,20385897,20609430,20786287,21249033,21267866,21335276,21342536,21442567,21983392,22028910,22227727,22954641,23140471,23180546,23363277,23400607,23497504,23566892,23790271,24010353,24042305,24268925,24270338,24696967,24731316,25084471,25653021,25979276,26434692,26756167,27395887,27461132,27813425,28288471,28756076,28850766,28909617,29122710,29557471,29966585,30441487,31029338,31064224,32323927,32591816,32638106,32947807,32999852,33321271,33376110,33589149,33707738,34230605,34288076,34346150,34371465,34808647,34947252,35412065,35601184,35794471,35955368,35959902,36162967,36662896,36665793,37043276,37386607,37433337,37849929,38254505,38935505,39138081,39692913,40051332,40157132,40340012,40414207,40449789,40958281,41014327,41076726,41215380,41245758,41253871,41612647,41919266,41949677,42494478,42926401,43894865,43963072,43987927,44162601,44667177,44944665,45047407,45633487,45842906,45905406,45984271,46217767,46722606,47496847,47918801,47940976,48075367,48355052,48536492,48728273,49166385,49217186,49357736,49456471,49458456,49874797,49917921,50257327,50632269,50827207,51395287,51616076,52044733,52053338,52300471,52444144,52574525,52673838,53378105,53395006,53933598,53985271,54041001,54456413,54543271,54866732,55321447,55490865,55527453,55622150,55640763,55977185,56128076,56977087,57419426,57583097,57596865,57998013,58363805,58398871,58511830,58999662,59190256,59364332,59928110,60024271,60261452,60978572,61098871,61323430,61419847,61436656,61633471,62378887,62625665,62706950,62948012,63077885,63089430,63474338,63753871,63908385,64053726,64334525,64475426,64725338,65994056,66053047,66570727,66589038,66746580,66792817,67172622,67295392,67842537,67908271,68168944,68220429,68419471,68455430,68623447,68653865,69010892,69116238,69314014,69446306,69899372,69940226,70036566,70214196,70244887,70680026,71196352,71248927,71249710,71510696,71913732,72146407,72205676,72290465,72612296,72813273,73293766,73381538,73588116,73598105,73727527,74243313,74405985,74439005,74723033,74730957,74813768,74847746,75150798,75193087,75248340,75387271,75390092,75693462,75707316,75822338,76278580,76487073,76690062,77201430,77680617,78035852,78248738,78490586,78597465,78738871,78916172,78927727,78942785,79210471,79366384,79700257,80095896,80264896,80307368,80449533,80764925,81356647,81621506,81688833,81909646,81995433,82146516,82348192,82384638,82500776,82780076,82918471,83082593,83100847,83837296,84098767,84165489,84279271,84379985,85177471,85405676,85499652,85636397,85755212,86279276,86390786,86488265,86748558,86776087,86864546,87216007,87604900,88075702,88317726,88415705,88483101,88698271,88965425,88989338,89287182,89302567,89326806,89417612,89464137,90107883,90298008,90345789,90635276,91094287,91336538,91534296,92103871,92167385,92271386,92476925,92641716,92688007,92813373,93349865,93759212,93763471,94316958,94731342,94830338,94837353,95110078,95201241,95418310,96198871,96218786,96701768,96917910,97448318,97595533,98076950,98291738,98336913,98425676,98802967,98958271,99020020,99190687,99499567,99741166,99803852,99884047,99960727,...,475272093278016691084260345980343129427308834424950428602371166780399954475022227662550961244611127422525779145019360427165727022570274499722877585542145673851466933328360518940293054081925589757218211991285280916535173036375383401429780976050336195336799505597795533386404784755261814976457995178234015570706508408160819950230261949620322563454997729044468623181272115895385041005875975191528219477744344952326008660367495347083933089407839664394665216186450046770430176118762819114487444568246110103475197539505189678604010872702775931617828240983402231556700615025259821375404633539985536768195051317406987201916023990906854494316578929583795064273378605148458364884498502807722583249875456200140220368360781945928583467643169398478770099264827158706778395646871305390929234119590930087184167631187561427840353806019829627049990504500973525286852339980674020089630390458417952409733001661978889849790793989180011176349783697779386586796060302381185344624962497396163551384390285452896730033661823785502175183968374888399726416794831651761678003321917015763270969019760819257450907443864914035564162631374916570511595240223153989950195723037635580612586133278310658624875986200538582870907865811851006124689047758241861485178151946551970138640453720712957213653158480313675349054351006174098949367066918841055065687325239473986942259708777534381823792262957167509960079376683633469587382899709559718635486864952707580341109763347865781472458797864779567909510332975362232459566218627258134178126870409926427597826740215171836375524707152093011863539846643812084227850660296091092205367252644332451702476842041165295546128501566440687115963137255803564081394424177578699541291013404012545893569318123475517309874638658535817165225091837902133425718404262474777654301692414694455991541436213432808393863784477237767438262995931502671732124844462448418099487764157491176805008439016489758063726238141779063574943787173417093672797468045728589878306805477206872603661722137845467102227029940006126674759061697750630763261926865057809934069965094976970806561451173941623886178763099659816882344393318040833378859783710147634903465623320589896337491856588568603285162691444337327167241267980780702308563508838389502502057582294330057559732002496211438225933464372212597462544420960266861740403016815305656426965961372845695111910238006124319881515350874664250756032553338581707259084118416747410640944941609874898989790390955366523404957813274560812149519909446224007742627089533439861087807390474626921030747778499392417267685565998532450907909291169887728974872173635362758586778611662928036472710762329321019673182699953585282357699608238698910927511126435309576051414422535421646290389947366266117905136778899718525342453286332025151232824226138242887487141764398730063331711671254752347582069347327761639524649352813551546905760650067813636076688330828805148811707776533481827512967050207122939561036595978867311177576079093081465263662646768632491008252944226439836766317176723630332811427147347599205491055839521218679210419213143085051385648726520586247694299573232596050123979589927197533520644914236089936855069239477707281786486236392142252428232945699423628944208658452270700739988373991618746345746382915696399155456321267907880772851469056654311649104001401348336172854470957229013580624951123524271853230427203270530727309373560470662278801901636817069217254350708856607143265733624115331832697379888760895605375360871547307391321230156837764397866875609812660981564236497125077927650189228218811773164294261873414188096923528857701030152013186162223331632151184946878162478188431372375220172990514909713163986276350665486930724396048746173260684950340302027554992467956546902227788816318225617627571279073042269465530898352285980264805837878927119145400558098244}
23729 280107438858506319141296414250022659031086930942671100134456144221074824848465: {498099,592975,711570,759008,853884,2629479,4382095,5258514,5564095,6272815,6676914,6876039,7217215,7299507,7527378,7556791,8077267,8660658,8781199,8929999,8991219,9262399,9772819,10281026,10351219,10678327,11459095,11522307,11929615,12237907,12544570,13750914,13961170,14253554,14315538,14461759,14687180,14723359,15053484,15112306,15453415,15792559,16142439,16303807,16498687,16753404,17103458,17302039,17624616,18438151,18500095,18523234,18544098,18674719,19202215,19235468,19670095,19827693,19907311,20142319,20362220,20560316,21033370,21131059,21278431,22200114,22707415,22777274,23042658,23132791,23402707,23604114,24434664,24473746,25240044,25390399,25500007,26464178,26669095,26678170,27181196,27248898,27336439,27479240,27488997,27591058,27891506,28307191,28332044,28517839,29371880,29458615,30257607,30606188,30914145,31151036,31460947,31739119,31901799,32002914,32013804,32080034,32474095,32840119,32975088,32994586,33043365,33281426,33340519,34204028,34326415,34672807,34770819,35246256,35350338,35536567,35741599,35945095,36405507,37096974,37259779,37813474,38467688,38546156,38830280,38968914,39144787,39652038,39679807,39811258,40689847,40739770,41191698,41249815,41339359,41948354,42860095,42930259,43134114,43153858,43188019,43276149,43684065,43736359,44501480,44628418,44785532,44944210,45096307,45305671,45333679,45649279,45828620,45888626,45918919,46261666,46304095,46348291,46544007,46596336,46862167,47946536,47984899,48652111,48887724,48957159,49499778,49911116,50018359,50064165,50196415,50425015,50466572,50561607,51124879,51432114,51519225,51590839,51791474,52003027,52184108,52420878,52514887,52671679,52923884,53401776,53757074,53859607,53933052,53939853,54768968,54770599,54953840,54994344,55564914,55575586,55915507,56659304,57158551,57744799,58077139,58677058,58859839,58883468,59091127,59556236,59647826,59685079,59926220,59941699,60076998,60235698,60443815,60481087,60510018,60670615,61207208,61318207,61615089,61697170,61823070,61868637,62296808,62571859,62878899,63535759,63741717,64520095,65137231,65254279,65462047,65506579,65555180,65944608,66357007,66395239,66557228,66675394,66701191,67509692,68583415,68764359,68858109,69121471,69228199,69445586,69895507,70083909,70160095,70231784,70268947,70934258,71911464,72054668,72188179,72404887,72503239,72532578,72804738,73209079,73357634,73825779,73987820,74036604,74187684,74205415,75326815,75343699,76223215,76469551,76795820,77185378,77252626,77330684,77366119,77424114,77724679,78080007,78376519,78666216,78685015,79010757,80028931,80092509,80729839,80900397,81002479,81073306,81994159,82300098,82492570,83433225,83835559,84119240,84192114,84239107,84614047,84968791,85035439,85211180,85404968,85867714,86112751,86129139,86263615,86519026,87374215,87637939,87767745,88499493,88785384,88995440,89046498,89207107,89388370,89563496,89713591,89892165,90257095,90392178,90413299,90456716,90765370,90960572,91269619,91320007,91467858,91985145,92059699,92154984,92508338,92688706,93302659,93382088,93517210,93615799,93618928,94060425,94237615,94422018,94634145,94974391,95211507,95348225,95370799,95705587,95884976,96080589,96159674,96427279,96713139,97084364,97088007,97295986,97300291,97544815,97747058,98117488,98154866,98645215,98689519,98856211,98991084,99207980,99641276,99883557,...,712908139917025036626390518970514694140963251637425642903556750170599931712533341493826441866916691133788668717529040640748590533855411749584316378313218510777200399992540778410439581122888384635827317986927921374802759554563075102144671464075504293005199258396693300079607177132892722464686992767351023356059762612241229925345392924430483845182496593566702934771908173843077561508813962787292329216616517428489012990551243020625899634111759496591997824279675070155645264178144228671731166852369165155212796309257784517906016309054163897426742361475103347335050922537889732063106950309978305152292576976110480802874035986360281741474868394375692596410067907722687547326747754211583874874813184300210330552541172918892875201464754097718155148897240738060167593470306958086393851179386395130776251446781342141760530709029744440574985756751460287930278509971011030134445585687626928614599502492968334774686190983770016764524675546669079880194090453571778016937443746094245327076585428179345095050492735678253262775952562332599589625192247477642517004982875523644906453529641228886176361165797371053346243947062374855767392860334730984925293584556453370918879199917465987937313979300807874306361798717776509187033571637362792227767227919827955207960680581069435820479737720470513023581526509261148424050600378261582598530987859210980413389563166301572735688394435751264940119065025450204381074349564339577953230297429061370511664645021798672208688196797169351864265499463043348689349327940887201267190305614889641396740110322757754563287060728139517795309769965718126341775990444136638308050878966498677553715263061747943319192752349661030673944705883705346122091636266368049311936520106018818840353977185213275964811957987803725747837637756853200138577606393712166481452538622041683987312154320149212590795676715856651157394493897254007598187266693672627149231646236236765207512658524734637095589357212668595362415680760125640509196202068592884817460208215810308905492583206768200653340544910009190012138592546625946144892890297586714901104947642465456209842176760912435829268144649489725323516589977061250068289675565221452355198434980884844506237784882852904927744037166505990750861901971171053462845263257584253753086373441495086339598003744317157338900196558318896193816631440400292610604525222958484640448942059268542667865357009186479822273026311996376134048830007872560888626177625121115961417412414812348484685586433049785107436719911841218224279864169336011613940634300159791631711085711940381546121667749088625901528348997798676361863936754831593462308260453044137880167917494392054709066143493981529509774049930377923536549412358048366391266689652964364077121633803132469435584921049399176857705168349577788013679929498037726849236339207364331230712646598095094997567506882128521373104020991642459286974029220327320358640975101720454115032496243207723217561664800222741269450575310684409341554893968300966766364118639622197895493970152948736512379416339659755149475765085445499217140721021398808236583759281828018815628819714627577078473089780879371541449359848894075185969384890796300280967371354134905282603859216560922679729354588213378642349418549135443416312987678406051109982560987428119518619574373544598733184481901861821159277203584981467473656002102022504259281706435843520370937426685286407779845640804905796090964060340705993418202852455225603825881526063284910714898600436172997749046069833141343408063041307320961086981845235256646596800313414718991472346354745687616891475283842328217659746441392810121282145385293286551545228019779243334997448226777420317243717282647058562830259485772364569745979414525998230396086594073119259891027425510453041332488701934820353341683224477338426441356918609563404198296347528428970397208756818390678718100837147366}
23730 281096609223570223635842246727665487919583787473083498564947055378457996988706: {260909,664132,948760,971249,1018541,1067355,1138512,1254881,1280826,1396589,1443809,1585421,1942334,2292401,2386529,2433581,2527661,2792942,2997581,3091469,3232241,3505972,3513569,3841421,3935021,4075361,4262369,4495949,4542641,4682669,4772654,5474801,6032561,6357389,6635501,7011352,7329521,7745069,7869374,7887771,8390189,8430542,8712161,8902552,8991134,9168052,9263201,9271214,9538289,9732676,9767309,10015371,10036504,10087601,10224749,10727009,11137229,11291067,11547544,11683181,11988292,12091889,12545249,12620942,12907361,12990987,13043021,13177214,13223789,13584941,13855469,14170721,14565374,14575469,14844941,15203789,15363076,15421539,15517361,15606881,15919949,16143329,16321889,16544909,16723181,16778942,17390561,17657009,18056141,18157742,18334552,18358975,18543089,18708254,18816855,18852461,18984929,19087384,19514081,19646189,20042081,20071312,20082014,20626371,20904542,20941755,20963309,21380331,21473307,21523252,21575501,21706481,22030770,22337872,22534349,22580226,22668459,22925489,23012321,23185889,23402669,23446001,23499488,23575949,23835629,24044335,24051809,24612941,24699149,24725464,24742241,25086689,25130106,25258721,25452775,25655187,25700395,26245421,26354942,26436924,26630369,26758541,27653729,27784851,27816147,28078769,28672481,28799501,28853202,28926449,29095601,29597534,29600152,29602289,29866814,30444209,30543330,30723544,30840474,30863969,31472152,31550055,31742861,31826381,32076749,32243501,32283854,32326829,32368481,32493389,32579552,32742989,32992301,33300171,33653392,33659227,33976495,34165911,34349050,34563987,34564589,34811789,35058701,35346401,35406171,35415055,35428529,35551661,35797709,35838689,36166241,36331864,36574961,36651996,36697421,36710619,36714850,36779021,37308641,37430669,37613294,37860066,37878254,38120801,38257735,38525681,38938795,39200894,39212141,39494129,39696267,40017255,40343476,40771794,40818221,40873347,40898189,41058029,41218860,41257649,41386587,41572574,41735921,41837259,41953219,42093869,42498066,42535732,42670552,42685072,42755035,42885134,42926561,43045229,43321841,43519181,43795121,43966784,44031329,44057820,44455454,44816609,45051569,45090701,45676721,45909282,45988529,46027469,46222049,46260941,46280942,46361092,46455281,46610609,46726554,46801214,46995008,47133784,47501261,47580542,47617121,47922847,48004371,48020706,48079841,48084610,48118349,48120051,48182695,48195341,48537850,48540676,49231601,49393934,49462632,49491879,49499309,49576891,49919201,49922139,50033549,50168942,50185901,50262029,50869901,50983649,51306042,51400109,51513521,51958552,52079501,52869384,53025507,53131181,53512334,53556307,53803949,53878541,54027629,54461011,54509707,54771149,54791774,54922264,55104689,55626850,55645461,55981915,56101421,56248589,56576942,56720211,56762669,56909261,56982509,57019121,57128909,57285775,57311729,57512152,57587959,57676769,57701532,57819234,58004621,58245420,58440749,58453371,58622129,59114942,59201201,59381741,59478057,59526029,59634161,59716887,59933170,60882974,61109655,61425761,61452811,61674989,61787547,62058676,62128448,62172269,62384909,62388895,62597261,62844641,62922531,63056369,63083215,63373421,63760049,64285709,64357579,64600241,64647854,64701171,64730787,65123021,65183632,65230135,65276212,65366369,65470541,65851889,65895614,65999704,66059489,66154855,66577229,66611681,66642542,66752220,66942627,67178298,67401869,67415476,67416315,67744109,67812461,67949069,68052751,68460209,68461210,68576152,68630189,68664161,68692300,68742930,68832939,68935649,69240461,69392499,69617294,69679601,69894504,70151009,70285409,70788269,70824130,70988909,71202368,71289329,71588942,71589101,71755361,71910736,71919804,72153569,72186701,72325934,72583661,72682721,72748721,72847661,73325792,73331586,73439789,73604335,74086552,74127329,74249667,74257889,74420909,74445295,74648801,74729347,74746349,74773214,74866674,74907775,75200621,75233009,75621041,75699858,75782381,76509010,76746221,76970081,77148171,77161649,77512109,77607521,77687211,77798129,77871010,78276162,78368059,78399821,78631317,78967181,79124321,79249889,79385826,79688369,80102664,80314264,80635611,80680024,80828414,80899578,80901581,80994401,81303281,81395789,81672881,81709327,81916562,81943975,82028654,82153452,82430760,82469729,82491516,82507742,82652849,82835681,82926989,82957409,83139761,83196535,83225294,83291501,83347371,83363379,83382449,83503601,83838532,83899354,83956781,84137549,84287969,84387115,84408161,84988956,85007201,85365089,85662449,85852802,85899761,85988621,86254769,86431841,86785121,86814509,86873261,87225101,87254369,87517421,87675931,87789730,87867149,87926144,87975854,88015587,88309039,88325202,88620941,88707569,88736429,88812427,88822961,89139629,89334354,89471739,89741489,89855729,89889330,90068335,90094814,90115497,90169229,90353547,90623501,90765027,91047521,91103921,91266974,91301069,91685812,91722209,91810812,91862189,91968542,92435534,92484775,92545755,92725601,92734605,92781041,92864141,93057761,93278561,93445212,93471341,93636269,93800909,94183949,94347629,94456589,94993694,95188721,95646701,95837602,95881952,95994775,96115411,96150734,96209249,96475889,96663355,96710104,96715181,96847841,97072984,97323761,97402829,97456546,97639601,97718381,98111201,98188519,98332770,98346029,98434372,98715472,98912942,98916912,99201521,99227309,99510449,99536141,99749594,99835842,99971681,99997229,...,1069362209875537554939585778455772041211444877456138464355335125255899897568800012240739662800375036700683003076293560961122885800783117624376474567469827766165800599988811167615659371684332576953740976980391882062204139331844612653217007196113256439507798887595039950119410765699339083697030489151026535034089643918361844888018089386645725767773744890350054402157862260764616342263220944180938493824924776142733519485826864530938849451167639244887996736419512605233467896267216343007596750278553747732819194463886676776859024463581245846140113542212655021002576383806834598094660425464967457728438865464165721204311053979540422612212302591563538894615101861584031320990121631317375812312219776450315495828811759378339312802197131146577232723345861107090251390205460437129590776769079592696164377170172013212640796063544616660862478635127190431895417764956516545201668378531440392921899253739452502162029286475655025146787013320003619820291135680357667025406165619141367990614878142269017642575739103517379894163928843498899384437788371216463775507474313285467359680294461843329264541748696056580019365920593562283651089290502096477387940376834680056378318799876198981905970968951211811459542698076664763780550357456044188341650841879741932811941020871604153730719606580705769535372289763891722636075900567392373897796481788816470620084344749452359103532591653626897410178597538175306571611524346509366929845446143592055767496967532698008313032295195754027796398249194565023034023991911330801900785458422334462095110165484136631844930591092209276692964654948577189512663985666204957462076318449748016330572894592621914978789128524491546010917058825558019183137454399552073967904780159028228260530965777819913947217936981705588621756456635279800207866409590568249722178807933062525980968231480223818886193515073784976736091740845881011397280900040508940723847469354355147811268987787101955643384035819002893043623521140188460763794303102889327226190312323715463358238874810152300980010817365013785018207888819938919217339335446380072351657421463698184314763265141368653743902216974234587985274884965591875102434513347832178532797652471327266759356677324279357391616055749758986126292852956756580194267894886376380629629560162242629509397005616475736008350294837478344290724947160600438915906787834437726960673413088902814001798035513779719733409539467994564201073245011808841332939266437681673942126118622218522727028379649574677661155079867761827336419796254004017420910951450239687447566628567910572319182501623632938852292523496698014542795905132247390193462390679566206820251876241588082063599215240972294264661074895566885304824118537072549586900034479446546115682450704698704153377381574098765286557752524366682020519894247056590273854508811046496846068969897142642496351260323192782059656031487463688930461043830490980537961462652580681172548744364811584826342497200334111904175862966026614012332340952451450149546177959433296843240955229423104768569124509489632724213647628168248825711081532098212354875638922742028223443229571941365617709634671319057312174039773341112778954077336194450421451057031202357923905788824841384019594031882320067963524127823703165124469481517609076664973841481142179277929361560316898099776722852792731738915805377472201210484003153033756388922559653765280556406140027929611669768461207358694136446090511058990127304278682838405738822289094927366072347900654259496623569104749712015112094561960981441630472767852884969895200470122078487208519532118531425337212925763492326489619662089215181923218077939929827317842029668865002496172340166130475865575923970587844245389228658546854618969121788997345594129891109678889836541138265679561998733052902230530012524836716007639662035377914345106297444521292643455595813135227586018077151255721049}
23731 282089250047771163734091201389696249979160548828978900680760302790696031575959: {830165,996198,1185950,1423140,1518016,1707768,1921239,2913501,4189413,4382465,5258958,6134933,7158981,7789733,8077949,8764190,8781941,8930753,9545861,10104101,10352093,10517028,11128190,11199221,11460065,11804061,12165845,12545630,12619841,12645813,13353828,13486701,13752078,13906821,14434430,14462981,14599014,14892833,14985365,15054756,15113582,16042733,16154534,16701461,16881701,17303501,17321316,17562398,17859998,17982438,18439709,18524798,18931413,19203845,19337573,19545638,19765821,20144021,20562052,20702438,21280229,21356654,21634781,21848061,22745909,22918190,23044614,23859230,24475814,25089140,25168413,25205741,25900133,26883101,26904065,27141461,27236613,27338753,27501828,27538133,27922340,28062381,28507108,28631076,28923518,29374360,29446718,30106968,30123021,30224612,30906830,31356813,31585118,31790381,32284878,32607614,32959421,32997374,33046155,33453953,33506808,33870339,34206916,34604078,35249232,35473133,36055349,36876302,37000190,37046468,37088196,37262933,37336733,37349438,37695159,38404430,38470936,39340190,39532413,39655386,39814622,39946493,40284638,40693301,40724440,41120632,41242061,41997761,42066740,42237701,42262118,42556862,42933893,43279803,44396301,44400228,44800221,45414830,45463733,45554548,45814995,46085316,46202813,46260711,46262021,46265582,46805414,46866149,47208228,48056981,48088001,48425781,48869328,48881813,48947492,49085741,50022593,50323133,50429345,50480088,50667053,50780798,51000014,51523575,52007429,52928356,53169665,53338190,53339681,53356340,53467901,54120293,54362392,54497796,54564389,54672878,54775253,54958480,54977994,55072275,55182116,55382561,55783012,56419941,56614382,56664088,56790099,56817381,57035678,57638141,57749741,57951365,58571333,58693109,58743760,58801341,58917230,59096129,59162693,59946773,60004133,60486221,60515214,60675845,61157691,61212376,61828290,61973621,62057621,62302072,62358861,62873633,62921894,63478238,63747099,63803598,64005828,64027608,64160068,64327701,64825733,64892381,64948190,65680238,65950176,65989172,66086730,66562852,66681038,66683181,66706853,67596509,67727141,68408056,68652830,68863923,68880101,69345614,69421413,69541638,70089831,70201821,70274981,70490213,70492512,70595021,70700676,70974221,71073134,71370813,71483198,71890190,72031059,72126915,72806775,72811014,72931253,73888469,74090901,74193948,74519558,74577473,75253413,75626948,76935376,76959063,77092312,77372693,77573345,77660560,77937828,78257981,78289574,79304076,79359614,79622516,80199773,80268501,80923109,81379694,81479540,81595265,81813461,82187661,82383396,82499630,82603781,82678718,83440275,83896708,84269345,84621341,84865413,84938861,85720190,85860518,85865375,86268228,86307716,86376038,86552298,86728851,87368130,87472718,87849089,88167041,88672413,89002960,89256836,89571064,89721269,89888420,89899755,90192614,90313373,90328133,90611342,90667358,91298558,91324461,91657240,91777252,91837838,92523332,92608190,92696582,93088014,93192672,93724334,93829361,94982453,95893072,95969798,96016781,96168881,96465461,96971781,97304222,97775448,97914318,98224133,98592161,98809013,98843421,98999556,99822232,99963813,...,1425816279834050073252781037941029388281926503274851285807113500341199863425066682987652883733833382267577337435058081281497181067710823499168632756626437021554400799985081556820879162245776769271654635973855842749605519109126150204289342928151008586010398516793386600159214354265785444929373985534702046712119525224482459850690785848860967690364993187133405869543816347686155123017627925574584658433233034856978025981102486041251799268223518993183995648559350140311290528356288457343462333704738330310425592618515569035812032618108327794853484722950206694670101845075779464126213900619956610304585153952220961605748071972720563482949736788751385192820135815445375094653495508423167749749626368600420661105082345837785750402929508195436310297794481476120335186940613916172787702358772790261552502893562684283521061418059488881149971513502920575860557019942022060268891171375253857229199004985936669549372381967540033529049351093338159760388180907143556033874887492188490654153170856358690190100985471356506525551905124665199179250384494955285034009965751047289812907059282457772352722331594742106692487894124749711534785720669461969850587169112906741837758399834931975874627958601615748612723597435553018374067143274725584455534455839655910415921361162138871640959475440941026047163053018522296848101200756523165197061975718421960826779126332603145471376788871502529880238130050900408762148699128679155906460594858122741023329290043597344417376393594338703728530998926086697378698655881774402534380611229779282793480220645515509126574121456279035590619539931436252683551980888273276616101757932997355107430526123495886638385504699322061347889411767410692244183272532736098623873040212037637680707954370426551929623915975607451495675275513706400277155212787424332962905077244083367974624308640298425181591353431713302314788987794508015196374533387345254298463292472473530415025317049469274191178714425337190724831361520251281018392404137185769634920416431620617810985166413536401306681089820018380024277185093251892289785780595173429802209895284930912419684353521824871658536289298979450647033179954122500136579351130442904710396869961769689012475569765705809855488074333011981501723803942342106925690526515168507506172746882990172679196007488634314677800393116637792387633262880800585221209050445916969280897884118537085335730714018372959644546052623992752268097660015745121777252355250242231922834824829624696969371172866099570214873439823682436448559728338672023227881268600319583263422171423880763092243335498177251803056697995597352723727873509663186924616520906088275760335834988784109418132286987963059019548099860755847073098824716096732782533379305928728154243267606264938871169842098798353715410336699155576027359858996075453698472678414728662461425293196190189995135013764257042746208041983284918573948058440654640717281950203440908230064992486415446435123329600445482538901150621368818683109787936601933532728237279244395790987940305897473024758832679319510298951530170890998434281442042797616473167518563656037631257639429255154156946179561758743082898719697788150371938769781592600561934742708269810565207718433121845359458709176426757284698837098270886832625975356812102219965121974856239037239148747089197466368963803723642318554407169962934947312004204045008518563412871687040741874853370572815559691281609811592181928120681411986836405704910451207651763052126569821429797200872345995498092139666282686816126082614641922173963690470513293193600626829437982944692709491375233782950567684656435319492882785620242564290770586573103090456039558486669994896453554840634487434565294117125660518971544729139491958829051996460792173188146238519782054851020906082664977403869640706683366448954676852882713837219126808396592695056857940794417513636781357436201674294732}
23732 283085373427884238471735391350939354441004753954835628502983173496293203508553: {308347,521818,1018627,1328264,1443931,1494297,1778925,1897520,1942498,2037082,2134710,2277024,2433787,2509762,2561652,2574907,2793178,2887618,3170842,3279427,3560731,3884668,4543027,4584802,4773058,4867162,5055322,5242507,5585884,5995162,6182938,6464482,7011944,7027138,7682842,7870042,7888437,8150722,8524738,8991898,9085282,9365338,9545308,9813931,10225627,10773547,10949602,12065122,12138307,12714778,13146285,13271002,13901731,14022704,14659042,15249931,15490138,15518707,15738748,15775542,15921331,16692285,16780378,16861084,16991827,17424322,17658547,17805104,17982268,18336104,18526402,18542428,18588931,18818445,19076578,19465352,19534618,20030742,20073008,20175202,20449498,20628117,21454018,21651645,21898521,22274458,22536331,22582134,22670373,23095088,23366362,23448067,23976584,24097147,24183778,24231801,24744427,25090498,25241884,25702565,25814722,25981974,26086042,26343597,26354428,26447578,26789997,26973657,27059731,27169882,27698731,27710938,27787197,28081267,28341442,28717387,28971331,29130748,29150938,29318457,29689882,30407578,30726152,30843078,31034722,31053657,31213762,31361425,31839898,31870987,32034981,32286658,32371387,32496307,32643778,33089818,33446362,33557884,33662069,34237627,34377285,34566921,34781122,34902925,34979587,35314018,35595907,35633885,35788845,35841931,35980553,36112282,36315484,36669104,36713721,36717950,36823147,37086178,37312027,37416508,37633710,37704922,37780765,37969858,38174768,38286331,39028162,39256027,39292378,40084162,40142624,40164028,40701931,40941907,41252742,41809084,41883510,41926618,42137467,42758645,42760662,42946614,43046504,43151002,43325827,43385277,43412962,44061540,44170077,44675744,45068698,45094867,45160452,45336918,45850978,46024642,46031731,46265227,46308085,46360245,46371778,46805338,46892002,46998976,47151898,47377677,47428387,47567093,47671258,48088670,48103618,48122827,48353731,48427317,48911421,49225882,49398298,49450928,49484482,49496061,49581077,50076331,50173378,50260212,50517442,50905550,51310374,51400790,51906117,52490842,52583425,52709884,52873848,53260738,53472931,53517082,53560829,53809027,54514313,54813427,55307458,55314453,55500285,55569702,55632294,56024157,56157538,56253931,56943185,57024547,57134347,57344962,57353731,57599002,57606645,57682267,57706404,57852898,58191202,58663987,59010285,59195068,59200304,59204578,59206867,59483079,59721933,59733628,59857049,60426957,60888418,61086660,61184365,61447088,61680948,61727938,62213731,62944304,63100110,63393177,63485722,63652762,63835293,64153498,64326931,64363013,64487002,64567708,64653658,64736962,64986778,65159104,65164147,65372731,65485978,65920921,65984602,66160445,66600342,66618187,66695425,67306784,67318454,67442731,67455773,67952990,68058497,68122245,68160427,68331822,68670907,68698100,68976331,68977645,69127974,69129178,69398373,69623578,69728765,70117402,70191547,70208121,70692802,70795267,70812342,70830110,70857058,71103322,71595418,71677378,71795707,71994931,72193867,72332482,72663728,72986731,73149922,73184227,73303992,73394842,73421238,73429700,73558042,74265307,74617282,74753827,74861338,75226588,75240547,75300973,75720132,75756508,76058957,76171197,76241602,76500021,76515470,77051362,77169427,77647147,77837731,77877590,78374681,78401788,78424282,78988258,79392534,79727731,80007285,80034510,80200085,80686952,80940787,81543588,81636442,81746694,81796378,82009317,82049731,82116058,82437720,82466991,82486465,82508731,82515298,82691827,82773174,82965931,83145148,83203565,83471842,83674518,83906438,84187738,84921573,84996132,85071464,85341104,85370144,85403707,85510070,85553517,85770268,85853122,86090458,86293267,86643682,86735347,86823547,87038362,87263467,87344453,87590242,87876331,87933568,88062658,88115640,88316501,88375845,88745731,88910908,88918747,89633218,89779507,90103138,90181402,90292507,90772821,91057147,91322189,91353442,91818564,91977058,92054938,92444098,92521882,92561884,92616797,92722184,92742435,92910562,93221218,93453108,93602428,93990016,94267568,94382841,94533685,95002522,95161084,95217357,95234242,95705397,95845694,96008742,96041412,96085987,96159682,96169220,96236698,96240102,96365390,96390682,96486307,97075700,97081352,97422285,97439731,98463202,98520357,98787868,98925264,98983758,98998618,99130095,99153782,99238147,99392731,99528145,99547027,99838402,99844278,...,2138724419751075109879171556911544082422889754912276928710670250511799795137600024481479325600750073401366006152587121922245771601566235248752949134939655532331601199977622335231318743368665153907481953960783764124408278663689225306434014392226512879015597775190079900238821531398678167394060978302053070068179287836723689776036178773291451535547489780700108804315724521529232684526441888361876987649849552285467038971653729061877698902335278489775993472839025210466935792534432686015193500557107495465638388927773353553718048927162491692280227084425310042005152767613669196189320850929934915456877730928331442408622107959080845224424605183127077789230203723168062641980243262634751624624439552900630991657623518756678625604394262293154465446691722214180502780410920874259181553538159185392328754340344026425281592127089233321724957270254380863790835529913033090403336757062880785843798507478905004324058572951310050293574026640007239640582271360715334050812331238282735981229756284538035285151478207034759788327857686997798768875576742432927551014948626570934719360588923686658529083497392113160038731841187124567302178581004192954775880753669360112756637599752397963811941937902423622919085396153329527561100714912088376683301683759483865623882041743208307461439213161411539070744579527783445272151801134784747795592963577632941240168689498904718207065183307253794820357195076350613143223048693018733859690892287184111534993935065396016626064590391508055592796498389130046068047983822661603801570916844668924190220330968273263689861182184418553385929309897154379025327971332409914924152636899496032661145789185243829957578257048983092021834117651116038366274908799104147935809560318056456521061931555639827894435873963411177243512913270559600415732819181136499444357615866125051961936462960447637772387030147569953472183481691762022794561800081017881447694938708710295622537975574203911286768071638005786087247042280376921527588606205778654452380624647430926716477749620304601960021634730027570036415777639877838434678670892760144703314842927396368629526530282737307487804433948469175970549769931183750204869026695664357065595304942654533518713354648558714783232111499517972252585705913513160388535789772752761259259120324485259018794011232951472016700589674956688581449894321200877831813575668875453921346826177805628003596071027559439466819078935989128402146490023617682665878532875363347884252237244437045454056759299149355322310159735523654672839592508008034841821902900479374895133257135821144638365003247265877704585046993396029085591810264494780386924781359132413640503752483176164127198430481944588529322149791133770609648237074145099173800068958893092231364901409397408306754763148197530573115505048733364041039788494113180547709017622092993692137939794285284992702520646385564119312062974927377860922087660981961075922925305161362345097488729623169652684994400668223808351725932053228024664681904902900299092355918866593686481910458846209537138249018979265448427295256336497651422163064196424709751277845484056446886459143882731235419269342638114624348079546682225557908154672388900842902114062404715847811577649682768039188063764640135927048255647406330248938963035218153329947682962284358555858723120633796199553445705585463477831610754944402420968006306067512777845119307530561112812280055859223339536922414717388272892181022117980254608557365676811477644578189854732144695801308518993247138209499424030224189123921962883260945535705769939790400940244156974417039064237062850674425851526984652979239324178430363846436155879859654635684059337730004992344680332260951731151847941175688490778457317093709237938243577994691188259782219357779673082276531359123997466105804461060025049673432015279324070755828690212594889042585286911191626270455172036154302511442098}
23733 284084991502575154332234572330102544341570317386773639489599652753735484463721: {782727,1162231,1660330,1992396,2371900,2846280,2913747,3036032,3055623,3202065,3415536,3764643,3842478,4189767,4331427,4756263,4855835,5827002,6135451,6877203,6982355,7159587,7300743,7582983,8378826,8764930,8992743,9274407,9546667,9696723,10517916,10540707,11524263,11677691,11805063,11931635,12226083,12269866,12530423,12787107,13235443,13487847,13627923,13799027,14048007,14317962,15357287,15579466,16044091,16155898,16424403,16644931,17032183,17528380,17563882,17861506,18097683,18911531,19072167,19091722,19339207,19673435,19906503,20208202,20704186,20979511,21034056,21076355,21320363,21988563,22256380,22319867,22398442,22477835,22747831,22920130,23136707,23178035,23235207,23608122,23663313,24331690,25091260,25170567,25239682,25291626,25579703,26136483,26707656,26885383,26973402,27504156,27789603,27813642,28135307,28614867,28868860,28925962,29198028,29301927,29345987,29785666,29788603,29970730,30046113,30109512,30227164,30262803,30674247,31552355,32085466,32181027,32309068,32943035,33346163,33402922,33411687,33763402,33873201,34607002,34642632,35049543,35124796,35719996,35747651,35964876,36275667,36413435,36879418,37049596,37635747,37665691,37862826,38407690,38675146,38722083,38952043,38972961,39091276,39129063,39531642,39671367,40288042,40754823,41124104,41404876,41566407,41947355,42512163,42560458,42610867,42713308,42944771,43269562,43696122,43726407,44534823,44813747,45103943,45341363,45394355,45491818,45611367,45836380,46089228,46264617,46552083,46770635,46820643,47718460,47759847,48092083,48429987,48660347,48951628,48965667,49438631,49634727,49917283,50169543,50178280,50205035,50336826,50411482,51800266,52171683,52261355,52971027,53472427,53766202,53808130,54168423,54282922,54473226,54677506,54843707,55003656,55076266,55076925,55387267,55629267,55844680,56124762,56450565,56557383,56954787,57014216,57168227,57262152,57847036,57852727,58086983,58542243,58576291,58748720,58869803,58893436,58938567,59695211,60126243,60213936,60246042,60449224,61813660,61879113,61978867,62713626,62825265,62889927,63170236,63580762,63805723,64140993,64419921,64485187,64569756,64726503,65119443,65215228,65517671,65887355,65918842,65994748,66092310,66368243,66855611,66907906,67013616,67602247,67603047,67740678,67866887,68005377,68057863,68117803,68413832,68776467,69036963,69133187,69208156,69557667,70208007,70270531,70338003,70498464,70601083,70727847,70946266,71506887,71623091,72110698,72133005,72155427,73752604,73838823,73993835,74000380,74092936,74097447,74176392,74226723,74437531,74525866,74667035,74673466,74698876,75260067,75351607,75390318,75776163,76358325,76808860,76941872,76965561,77101185,78680380,78736263,79064826,79310772,79629244,79720747,79891107,79892986,80275623,80341427,80569276,80709635,80743547,81131911,81386602,81448880,82241264,82484122,82961187,83354553,83448441,83995522,84133480,84236307,84475402,84524236,84696811,84946183,85113724,85867786,85872625,86017443,86127347,86398503,86559606,86779347,87286803,88792602,88800456,88806867,88840667,89600442,89912923,90741827,90829660,90927466,91109096,91332627,91629990,91787125,92075303,92170632,92405626,92521422,92524042,92531164,92591907,93610828,93631691,93653723,93732298,94033235,94416456,94650165,94695635,95228583,95479143,96113962,96176002,96230247,96730503,96851562,96877127,96980487,97105443,97480167,97738656,97763626,97894984,98002235,98171482,98228967,98327207,98406403,98872967,98976903,99841907,99900513,...,3208086629626612664818757335367316123634334632368415393066005375767699692706400036722218988401125110102049009228880682883368657402349352873129423702409483298497401799966433502846978115052997730861222930941175646186612417995533837959651021588339769318523396662785119850358232297098017251091091467453079605102268931755085534664054268159937177303321234671050163206473586782293849026789662832542815481474774328428200558457480593592816548353502917734663990209258537815700403688801649029022790250835661243198457583391660030330577073390743737538420340626637965063007729151420503794283981276394902373185316596392497163612933161938621267836636907774690616683845305584752093962970364893952127436936659329350946487486435278135017938406591393439731698170037583321270754170616381311388772330307238778088493131510516039637922388190633849982587435905381571295686253294869549635605005135594321178765697761218357506486087859426965075440361039960010859460873407041073001076218496857424103971844634426807052927727217310552139682491786530496698153313365113649391326522422939856402079040883385529987793625246088169740058097761780686850953267871506289432163821130504040169134956399628596945717912906853635434378628094229994291341651072368132565024952525639225798435823062614812461192158819742117308606116869291675167908227701702177121693389445366449411860253034248357077310597774960880692230535792614525919714834573039528100789536338430776167302490902598094024939096885587262083389194747583695069102071975733992405702356375267003386285330496452409895534791773276627830078893964845731568537991956998614872386228955349244048991718683777865744936367385573474638032751176476674057549412363198656221903714340477084684781592897333459741841653810945116765865269369905839400623599228771704749166536423799187577942904694440671456658580545221354930208275222537643034191842700121526822171542408063065443433806963361305866930152107457008679130870563420565382291382909308667981678570936971146390074716624430456902940032452095041355054623666459816757652018006339140217054972264391094552944289795424105961231706650922703763955824654896775625307303540043496535598392957413981800278070031972838072174848167249276958378878558870269740582803684659129141888888680486727888528191016849427208025050884512435032872174841481801316747720363503313180882020239266708442005394106541339159200228618403983692603219735035426523998817799313045021826378355866655568181085138948724032983465239603285482009259388762012052262732854350719062342699885703731716957547504870898816556877570490094043628387715396742170580387172038698620460755628724764246190797645722916882793983224686700655914472355611217648760700103438339638347047352114096112460132144722296295859673257573100046061559682741169770821563526433139490538206909691427927489053780969578346178968094462391066791383131491472941613884387957742043517646233094434754479027491601002335712527588898079842036997022857354350448638533878299890529722865688269314305707373528468898172640942884504746477133244596294637064626916768226084670329688715824096853128904013957171936522119320023338336862232008583351264353171093607073771717366474524152058782095646960203890572383471109495373408444552827229994921524443426537833788084680950694299330168558378195216747416132416603631452009459101269166767678961295841669218420083788835009305383622076082409338271533176970381912836048515217216466867284782098217043701962778489870707314249136045336283685882944324891418303558654909685601410366235461625558596355594276011638777290476979468858986267645545769654233819789481953526089006595007488517020498391427596727771911763532736167685975640563856907365366992036782389673329036669509623414797038685996199158706691590037574510148022918986106133743035318892333563877930366787439405682758054231453767163147}
23734 285088116452544345739345822767089349860384635005411252523226160478546299437671: {616694,1043636,1113289,1680073,2037254,2386933,2490495,2528089,2656528,2887862,2964875,2988594,3091993,3557850,3795040,3884996,3935689,4074164,4076053,4269420,4554048,4636789,4867574,5019524,5123304,5149814,5586356,5763717,5775236,6341684,6558854,7121462,7423189,7769336,8740503,9086054,9169604,9356533,9546116,9734324,10110644,10317913,10485014,11171768,11990324,12365876,12568239,12928964,13147395,14023888,14054276,14263189,14937289,15071893,15365684,15609589,15740084,15776874,16301444,17049476,17482453,17748853,17983796,18170564,18280789,18404799,18730676,18944089,19090616,19605589,19627862,19737673,20133493,20451254,21476943,21547094,21579289,21899204,21910475,22364233,23016373,23369199,24130244,24233847,24276614,24703513,24832789,25429556,26250073,26292570,26345823,26542004,26792259,26891413,27530953,27803462,27820475,28045408,28637583,29185333,29318084,30312303,30499862,30575689,30980276,31037414,31056279,31364075,31477496,31551084,31832089,31842662,32332633,33081289,33384570,33560756,33597663,33722168,33983654,34380195,34848644,35317094,35412183,35434933,35610208,35964536,35983591,36086075,36497535,36672208,36785689,37052804,37084856,37177862,37396789,37636890,37783955,37859523,37884373,37937439,38153156,38930704,39069236,39943753,40061484,40146016,40350404,40386335,40460103,40898996,40905673,41256234,41720463,41743573,42101593,42908036,43303290,43388943,43408789,43797042,43905995,44548916,44649995,44678499,44956095,45072662,45164268,45177289,45340746,46190176,46311995,46732724,46896134,47625973,47953168,48128199,48194294,48204313,48367556,48463602,48665689,48864095,49488854,49887439,49928533,50104383,50180996,50271433,50385589,50483768,50645103,51069013,51405130,51409753,51523189,51629444,51756095,51910503,51963948,52172084,52687194,52708856,52893071,52895156,53391635,53579994,53888713,53947314,54119462,54339764,54781513,55319127,55397462,55421876,55558933,55574394,56162534,56682884,56794239,56993353,57295475,57434774,57611535,57760693,57942662,58012719,58261496,58301876,58636914,59284789,59297463,59379764,59648075,59717653,59862103,60432063,60815156,60902089,61189535,61452304,61544473,61686156,62069444,62107314,62427524,62722850,62927413,63679796,63741974,63840687,64069962,64573316,64742774,64831319,64904343,64992614,65287556,65544183,65552713,65926487,66179636,66590233,66693589,66892724,67115768,67324138,67825753,68237727,68475254,68754570,69133842,69254089,69562244,69805850,69959174,70628036,71191814,71267770,71370133,71577690,71683862,71769589,71961106,72224564,72308795,72630968,72763189,73338208,73427442,73435900,73616795,73646294,73651273,74172356,74624054,74833016,75118453,75267420,75307331,75409844,75505239,75561530,75617223,75700789,75939716,76065379,76087573,76349536,76572662,77049493,77267075,77700399,77906543,78056324,78512054,78584756,78962795,79046089,79720459,80079253,80168324,80285248,80328056,80649303,80712195,81381589,81403862,81424383,81519035,81709839,81883814,82016259,82493435,82505484,82614399,83126473,83618168,83767020,83853236,84159911,84187143,84274934,85517290,85521324,85658111,85893228,86093008,86302004,86510195,86651654,86770554,86825924,86891353,88123080,88340154,88992059,89351488,89502793,89760373,89931733,90137396,90189734,90320904,90369063,90673836,90699289,91123189,91701956,92049284,92063462,92190755,92500475,92530454,92616170,92624623,92717593,92720490,92743556,92800789,93373595,93610676,93711193,93784004,93957973,93997952,94070439,94303796,94755354,94856774,95134186,95342516,95371143,95667289,96011075,96177340,96207236,96245654,96568703,96707462,96789193,96854634,97344853,97620271,97822842,98132533,98350475,98451764,98757493,98796596,98878263,98901856,98913013,98968964,98992122,99138465,99162154,99536555,99993589,...,4277448839502150219758343113823088164845779509824553857421340501023599590275200048962958651201500146802732012305174243844491543203132470497505898269879311064663202399955244670462637486737330307814963907921567528248816557327378450612868028784453025758031195550380159800477643062797356334788121956604106140136358575673447379552072357546582903071094979561400217608631449043058465369052883776723753975299699104570934077943307458123755397804670556979551986945678050420933871585068865372030387001114214990931276777855546707107436097854324983384560454168850620084010305535227338392378641701859869830913755461856662884817244215918161690448849210366254155578460407446336125283960486525269503249248879105801261983315247037513357251208788524586308930893383444428361005560821841748518363107076318370784657508680688052850563184254178466643449914540508761727581671059826066180806673514125761571687597014957810008648117145902620100587148053280014479281164542721430668101624662476565471962459512569076070570302956414069519576655715373995597537751153484865855102029897253141869438721177847373317058166994784226320077463682374249134604357162008385909551761507338720225513275199504795927623883875804847245838170792306659055122201429824176753366603367518967731247764083486416614922878426322823078141489159055566890544303602269569495591185927155265882480337378997809436414130366614507589640714390152701226286446097386037467719381784574368223069987870130792033252129180783016111185592996778260092136095967645323207603141833689337848380440661936546527379722364368837106771858619794308758050655942664819829848305273798992065322291578370487659915156514097966184043668235302232076732549817598208295871619120636112913042123863111279655788871747926822354487025826541119200831465638362272998888715231732250103923872925920895275544774060295139906944366963383524045589123600162035762895389877417420591245075951148407822573536143276011572174494084560753843055177212411557308904761249294861853432955499240609203920043269460055140072831555279755676869357341785520289406629685854792737259053060565474614975608867896938351941099539862367500409738053391328714131190609885309067037426709297117429566464222999035944505171411827026320777071579545505522518518240648970518037588022465902944033401179349913377162899788642401755663627151337750907842693652355611256007192142055118878933638157871978256804292980047235365331757065750726695768504474488874090908113518598298710644620319471047309345679185016016069683643805800958749790266514271642289276730006494531755409170093986792058171183620528989560773849562718264827281007504966352328254396860963889177058644299582267541219296474148290198347600137917786184462729802818794816613509526296395061146231010097466728082079576988226361095418035244185987384275879588570569985405041292771128238624125949854755721844175321963922151845850610322724690194977459246339305369988801336447616703451864106456049329363809805800598184711837733187372963820917692419074276498037958530896854590512672995302844326128392849419502555690968112893772918287765462470838538685276229248696159093364451115816309344777801685804228124809431695623155299365536078376127529280271854096511294812660497877926070436306659895365924568717111717446241267592399106891411170926955663221509888804841936012612135025555690238615061122225624560111718446679073844829434776545784362044235960509217114731353622955289156379709464289391602617037986494276418998848060448378247843925766521891071411539879580801880488313948834078128474125701348851703053969305958478648356860727692872311759719309271368118675460009984689360664521903462303695882351376981556914634187418475876487155989382376519564438715559346164553062718247994932211608922120050099346864030558648141511657380425189778085170573822383252540910344072308605022884196}
23735 286094760500671588149864246960922349514010959679643191586335732671075248575268: {925041,1304545,1565454,2324462,3055881,3320660,3984792,4331793,4482891,4743800,4856245,5092705,5336775,5692560,5827494,6072064,6111246,6274405,6404130,6798169,6831072,6982945,7219045,7301361,7529286,7684956,7724721,7927105,8379534,8662854,9512526,9640609,9711670,9775297,9838281,10682193,11462005,11654004,11678677,11932645,12167905,12241009,12270902,12483049,12531481,12638305,13051537,13629081,13754406,13800193,13964710,14319174,14601486,14987905,15165966,15457345,15727521,15877873,16161205,16307941,16502869,16704289,16757652,17529860,17567845,17985486,18149521,18548814,18913129,19093334,19207105,19393446,19675105,19912357,20376805,21035832,21081414,21136417,21311845,22321753,22479745,22713205,23048526,23355382,23408641,23413345,23610126,23665311,23828641,23863270,24452166,24539732,25060846,25210009,25396837,25574214,26245153,26470886,26975694,27255846,27343381,27374005,27542809,27598054,28096014,28635924,29441793,29506897,29507761,30075673,30162805,30676881,30714574,31158932,31468969,31786945,32088182,32311796,32320641,32449249,32848806,33177505,33289862,33997513,34064366,34681621,35056760,35127764,35723012,35750677,36195366,36414921,36647605,37269241,37823062,38144334,38183444,38678414,38725345,39346870,39438855,39813006,39953257,40416404,40700209,41408372,41705193,41950945,41959022,42068112,42152710,42244873,42640726,42941161,43274209,43560805,43747477,43977126,44173297,44512760,44639734,44796884,44955670,45107761,45495662,45749793,45840260,46120249,46273414,46316005,46356070,46470414,46556121,47216244,47326626,47691445,47763993,47997097,48356281,48663380,48836545,49956313,50031061,50076855,50182520,50341134,50438005,50479364,50583252,50675641,50975481,50978809,51123745,51159406,52016233,52272966,52961701,52975641,53415312,53635045,53770766,53946804,54129457,54920149,55008312,55579206,55627284,55686145,55766793,55929721,56270614,56455335,56860561,57229734,57737720,57851924,58396056,58415905,58427473,58603854,58672009,58691974,58726297,59106133,59172721,59571332,59577206,59941460,59956921,60092226,60219024,60454328,60459445,60496489,60525606,61333801,61348494,61884351,62068129,62726245,62884309,63104710,63552097,64170932,64362054,64536805,64618136,64808953,64903369,64954935,65215105,65478889,65523217,65695563,65886070,66118945,66373861,66412117,66692326,66718177,66805844,66823374,67526804,67608993,67738609,67746402,67924705,68011119,68766553,69214004,69277345,69285264,70099086,70249592,70287049,70344201,70502161,70853605,71049553,71439992,71443009,71495302,71629177,71929752,72291441,72423349,72551334,72695403,72826870,72877345,73165897,73227697,73758836,73869121,73900993,74099192,74224705,74233281,74720977,75271494,75331382,75518113,75725652,76018945,76815380,77107695,77314261,77350292,77444166,77586805,77744437,77904086,77945922,78034405,78182552,78258126,79030791,79063284,79079209,79342734,79599745,80049337,80206321,80369991,80576084,80716645,80750401,80920971,81179193,81509646,81609445,81827353,82248208,82724545,82809752,83096193,83132814,83361591,83615905,83894710,84243801,84260521,85024326,85120916,85221734,85426616,85889542,86152161,86539124,86913993,86952805,87392244,87452814,87660217,87955371,88285045,88285201,89069646,89627494,90207886,90280705,90328681,90682726,90749593,90788710,90983636,91222734,91343221,91672760,91794875,92178456,92242297,92529234,92715445,93104166,93160971,93326377,93541270,93641286,93661681,94084275,94262305,94292209,94924645,94998577,95436920,95519694,95612961,96104943,96184166,96859974,97114161,97320694,97488921,97570405,97698613,97903256,97931334,97959553,98230945,98714617,98825761,98877262,99269454,99834566,...,6416173259253225329637514670734632247268669264736830786132010751535399385412800073444437976802250220204098018457761365766737314804698705746258847404818966596994803599932867005693956230105995461722445861882351292373224835991067675919302043176679538637046793325570239700716464594196034502182182934906159210204537863510171069328108536319874354606642469342100326412947173564587698053579325665085630962949548656856401116914961187185633096707005835469327980418517075631400807377603298058045580501671322486396915166783320060661154146781487475076840681253275930126015458302841007588567962552789804746370633192784994327225866323877242535673273815549381233367690611169504187925940729787904254873873318658701892974972870556270035876813182786879463396340075166642541508341232762622777544660614477556176986263021032079275844776381267699965174871810763142591372506589739099271210010271188642357531395522436715012972175718853930150880722079920021718921746814082146002152436993714848207943689268853614105855454434621104279364983573060993396306626730227298782653044845879712804158081766771059975587250492176339480116195523561373701906535743012578864327642261008080338269912799257193891435825813707270868757256188459988582683302144736265130049905051278451596871646125229624922384317639484234617212233738583350335816455403404354243386778890732898823720506068496714154621195549921761384461071585229051839429669146079056201579072676861552334604981805196188049878193771174524166778389495167390138204143951467984811404712750534006772570660992904819791069583546553255660157787929691463137075983913997229744772457910698488097983437367555731489872734771146949276065502352953348115098824726397312443807428680954169369563185794666919483683307621890233531730538739811678801247198457543409498333072847598375155885809388881342913317161090442709860416550445075286068383685400243053644343084816126130886867613926722611733860304214914017358261741126841130764582765818617335963357141873942292780149433248860913805880064904190082710109247332919633515304036012678280434109944528782189105888579590848211922463413301845407527911649309793551250614607080086993071196785914827963600556140063945676144349696334498553916757757117740539481165607369318258283777777360973455777056382033698854416050101769024870065744349682963602633495440727006626361764040478533416884010788213082678318400457236807967385206439470070853047997635598626090043652756711733311136362170277897448065966930479206570964018518777524024104525465708701438124685399771407463433915095009741797633113755140980188087256775430793484341160774344077397240921511257449528492381595291445833765587966449373401311828944711222435297521400206876679276694094704228192224920264289444592591719346515146200092123119365482339541643127052866278981076413819382855854978107561939156692357936188924782133582766262982945883227768775915484087035292466188869508958054983202004671425055177796159684073994045714708700897277067756599781059445731376538628611414747056937796345281885769009492954266489192589274129253833536452169340659377431648193706257808027914343873044238640046676673724464017166702528706342187214147543434732949048304117564191293920407781144766942218990746816889105654459989843048886853075667576169361901388598660337116756390433494832264833207262904018918202538333535357922591683338436840167577670018610767244152164818676543066353940763825672097030434432933734569564196434087403925556979741414628498272090672567371765888649782836607117309819371202820732470923251117192711188552023277554580953958937717972535291091539308467639578963907052178013190014977034040996782855193455543823527065472335371951281127713814730733984073564779346658073339019246829594077371992398317413383180075149020296045837972212267486070637784667127755860733574878811365516108462907534326294}
23736 287104935912161105419286327017375558715739123907119312796673706435025244351338: {403223,1113383,1233388,1396943,1585823,1727399,2087272,2226578,2348181,2434199,2528303,2575343,2669399,2998343,3233063,3360146,3486693,4074508,4076399,4150825,4216703,4637183,4683863,4773866,4980990,5056178,5313056,5336543,5615783,5775724,5929750,5977188,6173399,6183986,6498143,7115700,7590080,7769992,7871378,7885463,8148328,8152106,8538840,8576423,8741241,8852303,9108096,9166869,9265583,9273578,9540743,9606195,9735148,10039048,10227383,10246608,10299628,10318799,10638503,10866623,11172712,11293929,11527434,11550472,11822543,12569301,12683368,12684383,12994281,13046399,13117708,13182023,13362743,13723799,14242924,14268789,14309423,14567505,14846378,15521399,15538672,15610943,15745199,16326143,16549223,16861199,17083799,17481006,17750399,18172108,18339208,18406353,18713066,18989903,19092232,19468648,19651343,20047343,20179199,20221288,20631609,20635826,20947065,20968823,20970028,21187703,21478761,21712199,21902229,21912325,22017623,22343536,22670783,22748949,22931543,23148623,23582183,23980648,24731752,24748799,24834983,25136478,25265423,25394399,25857928,26252399,26294790,26765663,26893799,26978229,27823221,28047776,28108552,28526378,28640001,28807199,28934183,29090169,29230199,29736743,29874578,30143786,30578423,30674665,30731368,31219178,31480168,31553748,31622121,31876703,31960199,32377199,32502143,32602888,33125783,34098952,34243799,34572789,34964906,34985903,35033073,35068199,35415189,35497706,35561303,35684399,35794905,35967592,35971343,36341128,36561578,36584903,36678249,36707399,36809598,36829823,37400183,37440863,37461352,37591269,37644143,37888178,37928399,38131199,38181232,38361321,38657543,38948665,39211178,39255724,39475346,39706329,40266986,40389745,40463541,40883769,40902508,40949399,41029343,41397081,42144021,42145199,42462863,42953886,43057103,43094188,43158578,43412783,43452263,43798408,43820950,43909705,44515199,44653765,44711399,44728466,45181463,45220583,46032746,46071861,46157063,46738398,46972703,47514503,47630399,47729305,48093263,48132273,48208799,48260488,48467694,48553228,48708623,49273209,49407026,49665578,49934793,50047583,50390303,50520505,50859112,50997983,51096549,51528023,51641399,51760465,52320143,52470623,52500146,52585140,52691646,52897537,53084008,53584518,53782826,53893799,54005663,54154703,54293049,54563903,54823799,55061906,55606924,55640950,55822583,55996105,56090816,56374943,56540869,56734593,57035399,57145223,57216501,57275166,57300325,57766199,58017621,58203143,58370666,58421183,58566383,58636168,59020305,59218199,59290463,59651303,59719509,60047303,60191063,60624606,60829225,60907943,60999724,61151378,61468393,61550399,61960552,62074828,62112558,62509993,62544623,62728150,62938533,62954992,63099205,63102168,63229065,63664178,63685324,63961089,64129343,64619063,64665266,64836793,65489663,65767199,65965689,66162578,66217103,66631199,66700103,66734543,66769140,66959601,67121512,67195326,67433505,67444336,67934903,67967308,68173799,68241983,68243493,68409733,68760390,68955983,69362399,69410121,69534105,69697288,69705621,69969863,70272623,70634188,70824366,70869866,70989939,71110223,71220416,71809943,71929072,71967182,72172150,72314905,72373799,72458533,72605303,72704399,72869399,72995070,73344416,73571378,73691399,74105608,74169712,74355724,74464165,74748289,74768783,74793578,74926825,75273780,75511701,75567910,75719046,75768746,75874878,76127399,76306312,76512983,76739109,77631023,77726399,77861408,77913121,78043799,78138472,78409449,79242623,79368143,79712663,79887506,80122968,80213665,80292032,80656149,80700808,80772670,80920206,80926343,81019199,81111983,81328199,81420743,81697943,81797992,81811346,82495103,82512468,82861199,82952543,83165399,83368809,83408183,83440926,83487146,83507305,84167017,84203186,84314063,84405921,84408505,84434303,84524399,85665349,85778183,85816072,85844601,86015399,86517505,86606580,86777886,86812223,86817578,86900399,87594084,87811990,87905781,87981983,88037961,88735463,88850903,88937399,88999573,89097832,89299990,89356998,89365809,89798399,89912190,90138339,90145324,90328536,90354578,90681492,90737183,90788409,91132823,91975343,92022741,92071369,92198545,92380352,92623990,92755199,92893799,93465448,93501263,93583799,93792268,93995399,94061077,94657065,95030063,95251946,95300423,95758199,95906336,96019225,96256398,96347183,96388588,96408626,96543081,96687865,96735112,96826199,96927204,97331378,97434503,97671383,97728190,97750199,97828943,98012399,98829105,98977708,99104903,99461713,99645863,99774878,99857066,...,9624259888879837994456272006101948370903003897105246179198016127303099078119200110166656965203375330306147027686642048650105972207048058619388271107228449895492205399899300508540934345158993192583668792823526938559837253986601513878953064765019307955570189988355359551074696891294051753273274402359238815306806795265256603992162804479811531909963704013150489619420760346881547080368988497628446444424322985284601675372441780778449645060508753203991970627775613447101211066404947087068370752506983729595372750174980090991731220172231212615261021879913895189023187454261511382851943829184707119555949789177491490838799485815863803509910723324071850051535916754256281888911094681856382310809977988052839462459305834405053815219774180319195094510112749963812262511849143934166316990921716334265479394531548118913767164571901549947762307716144713887058759884608648906815015406782963536297093283655072519458263578280895226321083119880032578382620221123219003228655490572272311915533903280421158783181651931656419047475359591490094459940095340948173979567268819569206237122650156589963380875738264509220174293285342060552859803614518868296491463391512120507404869198885790837153738720560906303135884282689982874024953217104397695074857576917677395307469187844437383576476459226351925818350607875025503724683105106531365080168336099348235580759102745071231931793324882642076691607377843577759144503719118584302368609015292328501907472707794282074817290656761786250167584242751085207306215927201977217107069125801010158855991489357229686604375319829883490236681894537194705613975870995844617158686866047732146975156051333597234809102156720423914098253529430022172648237089595968665711143021431254054344778692000379225524961432835350297595808109717518201870797686315114247499609271397562733828714083322014369975741635664064790624825667612929102575528100364580466514627224189196330301420890083917600790456322371026037392611690261696146874148727926003945035712810913439170224149873291370708820097356285124065163870999379450272956054019017420651164916793173283658832869386272317883695119952768111291867473964690326875921910620130489606795178872241945400834210095918514216524544501747830875136635676610809221748411053977387425666666041460183665584573050548281624075152653537305098616524524445403950243161090509939542646060717800125326016182319624017477600685855211951077809659205106279571996453397939135065479135067599966704543255416846172098950395718809856446027778166286036156788198563052157187028099657111195150872642514612696449670632711470282130885163146190226511741161516116095861382266886174292738572392937168750648381949674060101967743417066833652946282100310315018915041142056342288337380396434166888887579019772719300138184679048223509312464690579299418471614620729074283782467161342908735038536904283387173200374149394474418824841653163873226130552938699283304263437082474803007007137582766694239526110991068572063051345915601634899671589168597064807942917122120585406694517922828653514239431399733788883911193880750304678254010989066147472290559386712041871515809566357960070015010586696025750053793059513280821221315152099423572456176346286940880611671717150413328486120225333658481689984764573330279613501364254042852082897990505675134585650242248397249810894356028377303807500303036883887525007655260251366505027916150866228247228014814599530911145738508145545651649400601854346294651131105888335469612121942747408136008851057648832974674254910675964729056804231098706384876675789066782828034916331871430938406576958802936637308962701459368445860578267019785022465551061495174282790183315735290598208503057926921691570722096100976110347169019987110008528870244391116057988597476120074770112723530444068756958318401229105956677000691633791100362318217048274162694361301489441}
23737 288118654994687173118750459539790802630556736420572250025342802667996320330638: {1541735,1826363,1850082,2609090,3130908,3339867,4648924,5040219,5093135,6111762,6641320,6798743,7129787,7160799,7219655,7471485,7584267,7969584,8663586,8784167,8894625,8965782,9275979,9487600,9641423,9712490,9776123,10106663,10185410,10673550,11097947,11385120,11393447,11654988,11807067,12144128,12168935,12222492,12228159,12484103,12548810,12808260,12874535,13052639,13596338,13662144,13910367,13951643,13965890,14438090,14466647,14602722,15058572,15369912,15449442,15854210,16046807,16309319,16397135,16705703,16759068,17035067,17291151,17307887,17325708,17693627,17803655,18444383,18764759,19025052,19281218,19423340,19550594,19676562,20149127,20983067,21138203,21285623,21364386,21640283,22269567,22625687,22715135,22924010,23308008,23357354,23410619,23865290,24335810,24482018,24541804,24594983,24966098,25062962,25212143,25276610,25398983,26103074,26212535,26221509,26764859,26889947,27148343,27258162,27508812,27545147,27600386,27929420,28069599,28527527,28638348,29202972,29793647,29836583,29975810,30331932,30914690,30953739,31016999,31455042,31471643,31542779,31755746,31798487,32322410,32394647,32615882,32778683,32967803,33005738,33408578,33515304,35059720,35135690,35970972,36299042,37097628,37704717,37826258,38186668,38323607,38414210,38786892,38954327,39350210,39442185,39824714,39956639,40178879,40753610,42071664,42162828,42227927,42248459,42272834,42623690,42789567,44501723,44643506,44811867,44959490,45215679,45426410,46097052,46448507,46710764,46817282,46826690,46828767,47220252,47330622,47657282,47726540,48100247,48894239,48904332,49069655,49079464,49925759,50121692,50420018,50793674,50937287,51128135,51142247,51148428,51306647,52447359,52490306,52941772,53246559,53481479,53867735,53951388,54134039,54215483,54511692,54686762,54748010,54842367,55085618,55196108,55214397,55721903,56192028,56832267,57271848,57862523,58586207,58731323,58816767,58883586,59013794,59015522,59039279,59188943,59213019,60151346,60325610,60400479,60691535,60781979,60985127,61353762,61381343,61429148,61989359,62073383,62317864,62889647,62937938,63573890,63816527,64176364,64430829,64623592,64641282,64737867,64842407,64898498,64908863,65276447,65697612,65731425,66355010,66579724,66768023,67092699,67613723,67744343,67995026,68069387,68128732,68371163,69049119,69339647,69363242,69508655,70107597,70113520,70255528,70282463,70613207,70703639,70992263,71446024,71501354,71573243,72121019,72390732,72429503,72701541,72829842,73295210,74110539,74388827,74498367,74538482,74596439,75089063,75364379,75646124,76249655,76288668,76366888,76373159,76592399,77356828,77450690,77593535,77960603,78277883,78693740,78750219,78877710,79037469,79606655,79626012,79906514,80056139,80376777,80674239,80832808,80943743,81400418,81782267,81834299,82592859,82646279,82816744,83410386,83461425,83901890,83918044,84136224,84305420,84326783,84432647,84489746,84643223,84711167,84959135,85064327,85281452,85882322,85912749,86548418,86848823,87121610,87494954,87555999,87816743,87954252,88189463,88292735,88346594,89025520,89077127,89248679,89279468,89593768,89911340,90215522,90351527,90936909,90991324,91301147,91499586,91680520,91727067,92240498,92546828,92566523,92632010,92712140,92940828,92944655,93112242,93168837,93404687,93457247,93853223,94092225,94432488,94653252,95094587,95382890,95496267,95527986,95994194,96489983,96712562,96988283,96997899,97326760,97673090,99195047,99243867,99633239,99912626,...,12832346518506450659275029341469264494537338529473661572264021503070798770825600146888875953604500440408196036915522731533474629609397411492517694809637933193989607199865734011387912460211990923444891723764702584746449671982135351838604086353359077274093586651140479401432929188392069004364365869812318420409075727020342138656217072639748709213284938684200652825894347129175396107158651330171261925899097313712802233829922374371266193414011670938655960837034151262801614755206596116091161003342644972793830333566640121322308293562974950153681362506551860252030916605682015177135925105579609492741266385569988654451732647754485071346547631098762466735381222339008375851881459575808509747746637317403785949945741112540071753626365573758926792680150333285083016682465525245555089321228955112353972526042064158551689552762535399930349743621526285182745013179478198542420020542377284715062791044873430025944351437707860301761444159840043437843493628164292004304873987429696415887378537707228211710908869242208558729967146121986792613253460454597565306089691759425608316163533542119951174500984352678960232391047122747403813071486025157728655284522016160676539825598514387782871651627414541737514512376919977165366604289472530260099810102556903193743292250459249844768635278968469234424467477166700671632910806808708486773557781465797647441012136993428309242391099843522768922143170458103678859338292158112403158145353723104669209963610392376099756387542349048333556778990334780276408287902935969622809425501068013545141321985809639582139167093106511320315575859382926274151967827994459489544915821396976195966874735111462979745469542293898552131004705906696230197649452794624887614857361908338739126371589333838967366615243780467063461077479623357602494396915086818996666145695196750311771618777762685826634322180885419720833100890150572136767370800486107288686169632252261773735227853445223467720608429828034716523482253682261529165531637234671926714283747884585560298866497721827611760129808380165420218494665839267030608072025356560868219889057564378211777159181696423844926826603690815055823298619587102501229214160173986142393571829655927201112280127891352288699392668997107833515514235481078962331214738636516567555554721946911554112764067397708832100203538049740131488699365927205266990881454013252723528080957066833768021576426165356636800914473615934770412878940141706095995271197252180087305513423466622272724340555794896131933860958413141928037037555048048209050931417402876249370799542814926867830190019483595266227510281960376174513550861586968682321548688154794481843022514899056984763190582891667531175932898746802623657889422444870595042800413753358553388189408456384449840528578889185183438693030292400184246238730964679083286254105732557962152827638765711709956215123878313384715872377849564267165532525965891766455537551830968174070584932377739017916109966404009342850110355592319368147988091429417401794554135513199562118891462753077257222829494113875592690563771538018985908532978385178548258507667072904338681318754863296387412515616055828687746088477280093353347448928034333405057412684374428295086869465898096608235128382587840815562289533884437981493633778211308919979686097773706151335152338723802777197320674233512780866989664529666414525808037836405076667070715845183366676873680335155340037221534488304329637353086132707881527651344194060868865867469139128392868174807851113959482829256996544181345134743531777299565673214234619638742405641464941846502234385422377104046555109161907917875435945070582183078616935279157927814104356026380029954068081993565710386911087647054130944670743902562255427629461467968147129558693316146678038493659188154743984796634826766360150298040592091675944424534972141275569334255511721467149757622731032216925815068652588}
23738 289135930098540219487271035200449249266202182711565737395867778756852100719997: {450661,806446,1444297,1585957,2226766,2466776,2575561,2775123,2793886,3171646,3280261,3454798,3702217,3913635,4174544,4263817,4453156,4684261,4696362,4868398,5056606,5150686,5338798,5383561,5662777,5811155,5996686,6466126,6720292,6973386,7193317,8149016,8152798,8301650,8433406,8577157,9167643,9274366,9367726,9547732,9961980,10112356,10626112,10673086,11231566,11323237,11551448,11859500,11954376,12346798,12367972,12549577,12995379,12996286,13228357,13448673,14040517,14231400,14568735,15180160,15278115,15539984,15742756,15770926,16010325,16296656,16304212,16327561,16728997,17077680,17152846,17482482,17704606,18216192,18333738,18531166,18547156,18823215,19081486,19212390,19470296,20049097,20078096,20394507,20454766,20493216,20599256,20637598,20948835,21277006,21657135,21733246,21904083,22345424,22587858,22672777,23054868,23100944,23174163,23194057,23584261,23645086,23781315,24233161,24279175,24621637,25138602,25267657,25366736,25368766,25988562,26092798,26235416,26364046,26425957,26725486,27447598,27833737,28485848,28537578,28618846,28921827,28979077,29105977,29135010,29325891,29514843,29692756,30677255,31042798,31077344,31221886,31490398,32046579,32255077,32505061,32652286,33098446,33722398,34167598,34370761,34386015,34741957,34911775,34962012,34989061,35036031,35500798,35605561,35797935,35974597,36344216,36503715,36678416,36723027,36812706,37426132,37444261,37449147,37594443,37914915,37979806,38184464,38296777,38418277,38937296,39024697,39154611,39302686,39508537,40094686,40358398,40442576,40833157,40887243,41073061,41263218,41271652,41400579,41894130,41937646,41940056,42375406,42506437,42944531,42957522,43219237,43424398,43456261,43692997,43804458,43824650,44035246,44687072,44963715,45224761,45341566,45497898,45863086,46161337,46297246,46372035,46627897,46977061,47164366,47182563,47633619,47733335,47789257,47961296,48136261,48367237,48483615,48923823,49463504,49497598,49508607,49669966,50090377,50112867,50204677,50272956,50530846,50788798,51715856,52504798,52589580,52703535,53531326,53787598,53956458,54048037,54448563,54528131,55273657,55646442,56095552,56217104,56269957,56380297,56545643,56739387,56930917,57052756,57150661,57280002,57614398,57621315,57868366,58180338,58388455,58460398,58463077,59025315,59473486,59548837,59658175,59737071,59749156,60287572,61130415,61156846,61349330,61462736,61473587,62438356,62515271,62550661,62652115,62960336,63107496,63244242,63409251,63753406,63920398,63935535,64754398,65004286,65205776,65496037,66016057,66177215,66223561,66251566,66741061,66821027,66965259,67439235,67565317,67975717,68139615,68197904,68487598,68995135,68996677,69145578,69929812,69971806,70066146,70136398,70225923,70240035,70313161,70728707,70830378,70995412,70995933,71122606,71368798,71485923,71589810,71935184,71942686,72464651,72682256,73008517,73107337,73123156,73169806,73356498,73414798,73619196,73659646,73993477,74287561,74580997,74800366,74881726,74922704,75182538,75288286,75630027,75776356,75856798,76190511,76262398,76362464,76520677,76722642,76786435,77001097,77315086,77670661,77897330,78394547,78422356,78511448,78735459,78950692,79282057,79412658,79752037,79845817,80220455,80533972,80779490,80927082,80965561,81767538,81805016,81898798,82030143,82058686,82122015,82534117,82628427,82794162,82991497,83117683,83224655,83537977,84288042,84290398,84443017,84925726,85160915,85907772,86114206,86188376,86317156,86674117,86825566,86850661,86904526,87596816,87641900,87819410,87991177,88325379,88338887,88520691,88523283,88773637,88860217,89030398,89307530,89422798,89456932,89893561,90227019,90321061,90362926,90441166,90488415,92030643,92065492,92079143,92143722,92314126,93014437,93476796,93945406,94069019,94406907,94497061,94557655,94741897,95029006,95067337,95260798,95360835,95458610,96186526,96264546,96357577,96417598,96520976,96696035,96935388,96961923,97106456,97347747,97417246,97471417,98367175,98546418,98814052,99331156,99425317,99470111,99502537,99532515,99656761,99869586,...,19248519777759675988912544012203896741806007794210492358396032254606198156238400220333313930406750660612294055373284097300211944414096117238776542214456899790984410799798601017081868690317986385167337585647053877119674507973203027757906129530038615911140379976710719102149393782588103506546548804718477630613613590530513207984325608959623063819927408026300979238841520693763094160737976995256892888848645970569203350744883561556899290121017506407983941255551226894202422132809894174136741505013967459190745500349960181983462440344462425230522043759827790378046374908523022765703887658369414239111899578354982981677598971631727607019821446648143700103071833508512563777822189363712764621619955976105678924918611668810107630439548360638390189020225499927624525023698287868332633981843432668530958789063096237827534329143803099895524615432289427774117519769217297813630030813565927072594186567310145038916527156561790452642166239760065156765240442246438006457310981144544623831067806560842317566363303863312838094950719182980188919880190681896347959134537639138412474245300313179926761751476529018440348586570684121105719607229037736592982926783024241014809738397771581674307477441121812606271768565379965748049906434208795390149715153835354790614938375688874767152952918452703851636701215750051007449366210213062730160336672198696471161518205490142463863586649765284153383214755687155518289007438237168604737218030584657003814945415588564149634581313523572500335168485502170414612431854403954434214138251602020317711982978714459373208750639659766980473363789074389411227951741991689234317373732095464293950312102667194469618204313440847828196507058860044345296474179191937331422286042862508108689557384000758451049922865670700595191616219435036403741595372630228494999218542795125467657428166644028739951483271328129581249651335225858205151056200729160933029254448378392660602841780167835201580912644742052074785223380523392293748297455852007890071425621826878340448299746582741417640194712570248130327741998758900545912108038034841302329833586346567317665738772544635767390239905536222583734947929380653751843821240260979213590357744483890801668420191837028433049089003495661750273271353221618443496822107954774851333332082920367331169146101096563248150305307074610197233049048890807900486322181019879085292121435600250652032364639248034955201371710423902155619318410212559143992906795878270130958270135199933409086510833692344197900791437619712892055556332572072313576397126104314374056199314222390301745285029225392899341265422940564261770326292380453023482323032232191722764533772348585477144785874337501296763899348120203935486834133667305892564200620630037830082284112684576674760792868333777775158039545438600276369358096447018624929381158598836943229241458148567564934322685817470077073808566774346400748298788948837649683306327746452261105877398566608526874164949606014014275165533388479052221982137144126102691831203269799343178337194129615885834244241170813389035845657307028478862799467577767822387761500609356508021978132294944581118773424083743031619132715920140030021173392051500107586119026561642442630304198847144912352692573881761223343434300826656972240450667316963379969529146660559227002728508085704165795981011350269171300484496794499621788712056754607615000606073767775050015310520502733010055832301732456494456029629199061822291477016291091303298801203708692589302262211776670939224243885494816272017702115297665949348509821351929458113608462197412769753351578133565656069832663742861876813153917605873274617925402918736891721156534039570044931102122990348565580366631470581196417006115853843383141444192201952220694338039974220017057740488782232115977194952240149540225447060888137513916636802458211913354001383267582200724636434096548325388722602978882}
23739 290156773616773425708963216562214348938507249883571437091027487731420546522234: {1209669,2158429,3083470,3340149,3652726,3700164,4190829,4757469,5182197,5218180,5566445,6261816,6679734,7044543,7130389,7302597,7584909,7726029,8008197,8400365,8995029,9297848,9699189,10080438,10107517,10186270,10460079,10682837,11394409,11934665,12223524,12229197,12452475,12640445,12650109,13282640,13597486,13911549,13952821,14051589,14259574,14321598,14439310,14824375,14942970,15168534,15361181,15459965,15799229,15939168,16009629,16847349,17036509,17327172,17568334,17789250,17931564,18024349,18520197,18551958,18975200,19282846,19344109,19424980,19494429,19552246,19678445,20213326,20370820,20380265,21325769,21347100,22195894,22753597,22770240,22786894,22955989,23183945,23309976,23614134,23656389,23733989,24288256,24337870,24444984,24456318,24925117,24968206,25097620,25586189,25616520,25729269,25749070,26105278,26223723,26249597,26556909,27150637,27192676,27324288,27500607,27796749,27820734,27903286,27931780,28142441,28622229,28818585,28845197,28876180,28933294,29205444,29796169,30117144,30682149,30739824,30898884,30956397,31631197,31708420,31801189,31915509,32093614,32252669,32599869,32618638,32794270,33411406,33518136,33881787,34070134,34582302,34615774,34651416,35387254,35467629,35607310,35756729,36697549,36888766,37115945,37529518,37707903,38050104,38053149,38562436,38846680,38961949,38982843,39101188,39139197,39353124,39546069,40088229,40298254,41171397,41966134,42276406,42571246,42728772,42806367,42928269,43280566,43281557,43537189,43702515,44539134,45115397,45251374,45352889,45430270,45848020,46367981,46564197,46616016,46714708,46782665,46821238,46832829,47235597,47730580,48364469,48671620,48964036,48978429,49083608,49189966,49451237,49647669,49929997,49932196,50125924,50424286,50553220,50583597,50797966,50991677,51251397,51589565,52206148,52425070,52443018,53251197,53529718,53779894,54296686,54516324,55017624,55090294,55200772,55219059,55858840,56139198,56870189,56929909,56969709,57055054,57276696,57867421,58101749,58405944,58954029,59587294,59673166,59951620,60142029,60537597,60663864,61344197,61829380,61894827,61907478,62033998,62277421,62841195,62906469,62910084,62943286,63085558,63511492,63563109,63596974,63821929,64436283,64644820,64789294,65136597,65231764,65534309,65557366,65706687,65736975,65935606,66011476,66052869,66385097,66817156,67030608,68012349,68075149,68246847,68697517,68778197,68794629,69050029,69150761,69257609,69415181,69445869,69950569,70119440,70271380,70288429,70746549,71315945,71579389,71941944,72474677,72598084,72956029,73240109,73881629,74152597,74195256,74246397,74504949,74686445,75359465,75409434,75414829,75652516,75796269,76183197,76373336,76405157,76647214,76828420,77573784,77908654,78047945,78700420,78757197,78884370,79649428,79741021,79913278,80109557,80296989,80357758,80681397,80764109,80934687,80950621,81507220,83469663,84143328,84325656,84455854,84496918,84545668,84968149,85247380,85579134,85920003,86149241,86421597,86802549,87270507,87412265,87690597,88744265,89003446,89210229,89287012,89623734,89918980,89935789,90431358,90451709,90852820,91403945,91735269,92023995,92098709,92194104,92284181,92838397,92897014,93421528,93634564,93653380,93657534,94247581,94440504,94661244,94720445,94866363,95150569,95314564,95453080,95630109,95880597,96200494,96901829,97131597,97312117,97506429,97788478,97808664,98027945,98139310,98158928,98431429,98688365,98731349,98898101,99377349,99556789,99851518,99867581,...,28872779666639513983368816018305845112709011691315738537594048381909297234357600330499970895610125990918441083059926145950317916621144175858164813321685349686476616199697901525622803035476979577751006378470580815679511761959804541636859194295057923866710569965066078653224090673882155259819823207077716445920420385795769811976488413439434595729891112039451468858262281040644641241106965492885339333272968955853805026117325342335348935181526259611975911883326840341303633199214841261205112257520951188786118250524940272975193660516693637845783065639741685567069562362784534148555831487554121358667849367532474472516398457447591410529732169972215550154607750262768845666733284045569146932429933964158518387377917503215161445659322540957585283530338249891436787535547431802498950972765149002796438183594644356741301493715704649843286923148434141661176279653825946720445046220348890608891279850965217558374790734842685678963249359640097735147860663369657009685966471716816935746601709841263476349544955794969257142426078774470283379820286022844521938701806458707618711367950469769890142627214793527660522879856026181658579410843556604889474390174536361522214607596657372511461216161682718909407652848069948622074859651313193085224572730753032185922407563533312150729429377679055777455051823625076511174049315319594095240505008298044706742277308235213695795379974647926230074822133530733277433511157355752907105827045876985505722418123382846224451871970285358750502752728253255621918647781605931651321207377403030476567974468071689059813125959489650470710045683611584116841927612987533851476060598143196440925468154000791704427306470161271742294760588290066517944711268787905997133429064293762163034336076001137676574884298506050892787424329152554605612393058945342742498827814192688201486142249966043109927224906992194371874477002838787307726584301093741399543881672567588990904262670251752802371368967113078112177835070785088440622446183778011835107138432740317510672449619874112126460292068855372195491612998138350818868162057052261953494750379519850976498608158816953651085359858304333875602421894070980627765731860391468820385536616725836202502630287755542649573633505243492625409907029832427665245233161932162276999998124380550996753719151644844872225457960611915295849573573336211850729483271529818627938182153400375978048546958872052432802057565635853233428977615318838715989360193817405196437405202799900113629766250538516296851187156429569338083334498858108470364595689156471561084298971333585452617927543838089349011898134410846392655489438570679535223484548348287584146800658522878215717178811506251945145849022180305903230251200500958838846300930945056745123426169026865012141189302500666662737059318157900414554037144670527937394071737898255414843862187222851347401484028726205115610712850161519601122448183423256474524959491619678391658816097849912790311247424409021021412748300082718578332973205716189154037746804904699014767505791194423828751366361756220083553768485960542718294199201366651733581642250914034762032967198442416871678160136125614547428699073880210045031760088077250161379178539842463663945456298270717368529038860822641835015151451239985458360676000975445069954293719990838840504092762128556248693971517025403756950726745191749432683068085131911422500909110651662575022965780754099515083748452598684741684044443798592733437215524436636954948201805563038883953393317665006408836365828242224408026553172946498924022764732027894187170412693296119154630027367200348484104748995614292815219730876408809911926888104378105337581734801059355067396653184485522848370549947205871794625509173780765074712166288302928331041507059961330025586610733173348173965792428360224310338170591332206270874955203687317870031002074901373301086954651144822488083083904468323}
23740 291181197985349827210655404958173019430683028818288513023120958997526642135576: {901322,1255411,1612892,1680499,2528731,2669851,2888594,3092779,3171914,3233611,4077091,4217419,4453532,4497859,4625205,4933552,5151122,5479089,5550246,5587772,6343292,6522725,6560522,6591979,6869971,6909596,7404434,7827270,8135617,8349088,8527634,8906312,8945731,9358939,9368522,9392724,9736796,9771499,10019601,10113212,10301372,10320571,10457659,10677596,10731619,10767122,11325554,11622310,11993372,12932252,13440584,13946772,14386634,14806459,15075811,15120657,15210379,15279405,15613651,15747931,16150339,16298032,16305596,16552099,16603300,16866812,17154314,18285571,18335286,18548732,18735452,19095464,19213939,19742851,19923960,20138779,20224712,20270611,20396229,21191419,21252224,21346172,21389361,21482397,21658965,21716011,22108699,22414455,22463132,22646474,22752801,23022451,23102896,23152699,23412979,23719000,23802859,23908752,24062419,24281225,24693596,24735944,24839371,24968611,25099154,25463525,25990758,25992572,26352501,26456714,26683875,26897346,27666019,27827937,28081034,28303579,28462800,28924269,29137470,29319931,29328369,30319989,30360320,30556230,30709891,31079968,31372025,31485512,31541852,31965931,32020650,32593312,32608424,32655122,32965579,33214771,33293841,33457994,33588019,33990845,34155360,34180341,34305692,34914725,34964964,35074531,35409212,35421201,35567731,36095225,36432384,36506805,36667476,36684477,36795691,37062332,37094312,37452309,37646430,37650979,38162972,38424780,38623605,38940592,39157917,39635525,39713419,40098194,40156192,40436371,40789014,40909532,40986432,41036851,41198512,41275196,41276539,41515939,41731101,41854929,41897670,42554012,42946291,42948157,43314270,43399941,43466492,43539211,43808166,44012251,44248339,44690848,45175716,45345554,46009819,46109736,46201888,46243459,46348326,46388114,46476811,47168522,47290172,47562630,48102211,48140421,48203045,48466322,48558350,48794491,48876485,48927957,49191405,49243274,49942531,50056939,50117109,50277204,50399731,50535314,50733472,50737532,51083371,51105201,51197059,51537691,51651091,51873453,51923661,51977124,52185596,52470832,52728092,52851914,53080881,53410965,53450972,54015859,54797059,54895196,55333149,55574731,55667474,56294277,56971696,57075156,57237692,57310025,57339019,57843654,57958154,58211954,58214251,58270020,58393385,58650139,58651782,58976299,59029686,59301811,59385512,59410171,59663225,59734819,60447381,60839525,61205045,61354510,61669099,62085596,62154688,62415245,62443772,62627491,62657405,62949201,62980796,63191525,63414609,63856869,64093158,64510154,64920849,65010122,65257685,65304572,65571859,66196892,66713131,66808701,66826669,67434859,67444796,67877061,67948219,68145405,68255371,68335196,68663899,68741522,68772030,69000965,69274531,69376051,69483914,69823550,69924024,69978122,70072062,70231857,70689259,71001596,71211122,71491339,71595870,71790931,71949194,72388171,72688432,72784891,72883891,73007430,73356832,73446054,73625412,73771651,73784949,74458099,74852264,74888522,74898294,74939525,75141019,75188886,75238291,75432619,75636429,75820411,75829830,75959612,76110499,76196949,76368928,76592539,76593554,76836554,77286725,77874592,78049394,78122971,78309222,78605372,78637605,78664527,78786739,78975739,79017074,79164451,79389365,80189372,80197219,80294577,80669841,80716796,80806025,80885152,81406531,81445029,81539705,81666314,81743837,81774486,82146122,82514345,82526436,82543304,82635441,82801158,83124701,83152099,83334331,83521445,83788260,83875292,83880112,84150811,84208797,84331459,84750812,85012874,85409299,85582581,85855339,85889062,85915044,86299579,86438474,86848796,86912522,87385994,87608916,87649300,87712961,87796531,87839225,88070492,88849937,89374144,89380941,89509749,89531011,89927430,90449522,90683132,90747605,90812971,90995796,91726172,91910899,92322674,92594492,92648101,92744070,92830411,92861217,92913571,93050997,93245491,93255794,93823579,93954122,93988099,94234339,94328732,94365126,94414929,94565645,94628337,95267238,95395461,95466670,95578514,95698171,95778811,95922592,96035525,96272522,96593189,96734474,96900211,96967230,97183941,97455619,97692571,97847646,98229989,98336049,98375525,98867611,98903409,98927008,98995196,99017214,99023059,99339932,99561785,99949699,...,38497039555519351977825088024407793483612015588420984716792064509212396312476800440666627860813501321224588110746568194600423888828192234477553084428913799581968821599597202034163737380635972770334675171294107754239349015946406055515812259060077231822280759953421438204298787565176207013093097609436955261227227181061026415968651217919246127639854816052601958477683041387526188321475953990513785777697291941138406701489767123113798580242035012815967882511102453788404844265619788348273483010027934918381491000699920363966924880688924850461044087519655580756092749817046045531407775316738828478223799156709965963355197943263455214039642893296287400206143667017025127555644378727425529243239911952211357849837223337620215260879096721276780378040450999855249050047396575736665267963686865337061917578126192475655068658287606199791049230864578855548235039538434595627260061627131854145188373134620290077833054313123580905284332479520130313530480884492876012914621962289089247662135613121684635132726607726625676189901438365960377839760381363792695918269075278276824948490600626359853523502953058036880697173141368242211439214458075473185965853566048482029619476795543163348614954882243625212543537130759931496099812868417590780299430307670709581229876751377749534305905836905407703273402431500102014898732420426125460320673344397392942323036410980284927727173299530568306766429511374311036578014876474337209474436061169314007629890831177128299269162627047145000670336971004340829224863708807908868428276503204040635423965957428918746417501279319533960946727578148778822455903483983378468634747464190928587900624205334388939236408626881695656393014117720088690592948358383874662844572085725016217379114768001516902099845731341401190383232438870072807483190745260456989998437085590250935314856333288057479902966542656259162499302670451716410302112401458321866058508896756785321205683560335670403161825289484104149570446761046784587496594911704015780142851243653756680896599493165482835280389425140496260655483997517801091824216076069682604659667172693134635331477545089271534780479811072445167469895858761307503687642480521958427180715488967781603336840383674056866098178006991323500546542706443236886993644215909549702666664165840734662338292202193126496300610614149220394466098097781615800972644362039758170584242871200501304064729278496069910402743420847804311238636820425118287985813591756540261916540270399866818173021667384688395801582875239425784111112665144144627152794252208628748112398628444780603490570058450785798682530845881128523540652584760906046964646064464383445529067544697170954289571748675002593527798696240407870973668267334611785128401241260075660164568225369153349521585736667555550316079090877200552738716192894037249858762317197673886458482916297135129868645371634940154147617133548692801496597577897675299366612655492904522211754797133217053748329899212028028550331066776958104443964274288252205383662406539598686356674388259231771668488482341626778071691314614056957725598935155535644775523001218713016043956264589889162237546848167486063238265431840280060042346784103000215172238053123284885260608397694289824705385147763522446686868601653313944480901334633926759939058293321118454005457016171408331591962022700538342600968993588999243577424113509215230001212147535550100030621041005466020111664603464912988912059258398123644582954032582182606597602407417385178604524423553341878448487770989632544035404230595331898697019642703858916227216924394825539506703156267131312139665327485723753626307835211746549235850805837473783442313068079140089862204245980697131160733262941162392834012231707686766282888384403904441388676079948440034115480977564464231954389904480299080450894121776275027833273604916423826708002766535164401449272868193096650777445205957764}
23741 292209215683289917681005324266867069029607334994326385375306855385498582609474: {23741,1351983,2016115,2419338,2869999,4316858,4332891,4757871,5566915,6166940,6680298,6984715,7305452,7400328,7726683,7793023,7929115,8325369,8381658,8636995,9514938,9840783,10364394,10436360,10683739,11106651,11132890,11203951,11740905,11760511,12170995,12523632,12625171,12641515,12791451,12876715,13346995,13359468,13803691,14052783,14089086,14260778,14605194,14899123,14991715,15169818,15362479,15452058,15800563,15881899,16016394,16150683,16165315,16708531,16800730,16888831,16988331,17433465,17439631,17696623,17990058,18154123,18595696,18917923,19398378,20160876,20215034,20372540,20381995,20754125,20920158,21083515,21327571,21365674,21579951,21643951,22327411,22788818,23185915,23419315,23834683,23869330,24447048,24458394,24538531,24904950,25216411,25280890,25300218,25588351,25731471,26251819,26526223,26565280,26682715,26769391,27194972,27502929,27549823,27804271,27823098,27905642,28078915,28103178,28144819,28519148,28532371,28643196,28878620,29515243,29648750,29885940,30083299,30337068,30722362,30866995,30919930,31022251,31598458,31878336,32019258,32457523,32490715,32973391,33694698,33969711,34006159,34073018,34476991,34654344,35136668,35554651,35578500,35863128,35896771,36048698,37040394,37103916,37648731,37950400,38565692,38649259,38688218,38849960,38960923,38986137,38988858,39104492,39356890,39427315,39685071,39963403,40346019,40426652,40560691,40741640,40760530,42121551,42255631,42651538,42694200,42882115,43285231,43706205,44261515,44391788,44828971,45507194,45540480,45573788,45834345,45911978,46327915,46367890,46619952,46886059,47228268,47312778,47467978,47703715,48030975,48368563,48576512,48675740,48889968,48912636,48982683,49455439,49850234,49936412,49969051,50186991,50195240,50688523,51136915,51150931,51172378,51233040,51458538,51498140,51509359,51593995,51962323,52210556,52447446,52499194,52541611,53113818,53192515,54143203,54301274,54333115,54385352,54648576,54798523,55001214,55593498,55641468,55806572,55863560,56284882,56469645,56875003,57244458,57637170,57690394,57752360,57866588,58410888,58442371,59112715,59187763,59592338,60147291,60222811,60234288,60262891,60792271,60970963,61183521,61364298,61479648,61797768,61912794,62083891,62846505,62900323,63262394,63416840,63421915,63602378,63831018,64187228,64505338,64919851,64971405,65199738,65231995,65237276,65287531,65495731,65588540,65712249,65910115,66358171,66813715,66822812,66878323,67036272,67755811,67763574,68018331,68140268,68618995,68784019,69164604,69231548,69302832,69522489,69582171,69931279,70520083,70715611,70752783,70774508,70935258,71214620,71343945,71513458,71547115,72133231,72225391,72699483,72837525,72990511,73395098,73777532,73864911,73887883,73919779,74231890,74303731,74401423,74609083,75059036,75415806,75802971,76100208,76106298,76386091,77124872,77205211,77333923,77405563,77606995,77693360,77923898,77965686,78054715,78202376,78278394,78291151,78706248,78725995,78829951,79092138,79277871,80176458,80596508,80624731,81630715,81848191,82036123,82231663,82342794,82746115,83501211,83932268,84305995,84552812,85078771,85142492,85195759,85393999,85418995,85457544,85612734,85651891,85856538,86561132,86563114,86765481,86937231,87074378,87317931,87405030,87977673,88204411,88544529,88751995,89078268,89584219,90230794,90351643,90502748,90674923,90705778,90860540,91696040,92031765,92292079,92735962,93128394,93232032,93429416,93565330,93642476,93665658,93869131,94471194,94674931,94949515,95461160,95833771,96139737,96728938,96765231,96910063,97343240,97515183,97723459,97928072,97956858,97984531,98167216,98256715,98379932,98850883,98902474,99295338,99842323,99859994,99864392,...,57745559333279027966737632036611690225418023382631477075188096763818594468715200660999941791220251981836882166119852291900635833242288351716329626643370699372953232399395803051245606070953959155502012756941161631359023523919609083273718388590115847733421139930132157306448181347764310519639646414155432891840840771591539623952976826878869191459782224078902937716524562081289282482213930985770678666545937911707610052234650684670697870363052519223951823766653680682607266398429682522410224515041902377572236501049880545950387321033387275691566131279483371134139124725569068297111662975108242717335698735064948945032796914895182821059464339944431100309215500525537691333466568091138293864859867928317036774755835006430322891318645081915170567060676499782873575071094863604997901945530298005592876367189288713482602987431409299686573846296868283322352559307651893440890092440697781217782559701930435116749581469685371357926498719280195470295721326739314019371932943433633871493203419682526952699089911589938514284852157548940566759640572045689043877403612917415237422735900939539780285254429587055321045759712052363317158821687113209778948780349072723044429215193314745022922432323365437818815305696139897244149719302626386170449145461506064371844815127066624301458858755358111554910103647250153022348098630639188190481010016596089413484554616470427391590759949295852460149644267061466554867022314711505814211654091753971011444836246765692448903743940570717501005505456506511243837295563211863302642414754806060953135948936143378119626251918979300941420091367223168233683855225975067702952121196286392881850936308001583408854612940322543484589521176580133035889422537575811994266858128587524326068672152002275353149768597012101785574848658305109211224786117890685484997655628385376402972284499932086219854449813984388743748954005677574615453168602187482799087763345135177981808525340503505604742737934226156224355670141570176881244892367556023670214276865480635021344899239748224252920584137710744390983225996276701637736324114104523906989500759039701952997216317633907302170719716608667751204843788141961255531463720782937640771073233451672405005260575511085299147267010486985250819814059664855330490466323864324553999996248761101993507438303289689744450915921223830591699147146672423701458966543059637255876364306800751956097093917744104865604115131271706466857955230637677431978720387634810392874810405599800227259532501077032593702374312859138676166668997716216940729191378312943122168597942667170905235855087676178698023796268821692785310978877141359070446969096696575168293601317045756431434357623012503890291698044360611806460502401001917677692601861890113490246852338053730024282378605001333325474118636315800829108074289341055874788143475796510829687724374445702694802968057452410231221425700323039202244896366846512949049918983239356783317632195699825580622494848818042042825496600165437156665946411432378308075493609809398029535011582388847657502732723512440167107536971921085436588398402733303467163284501828069524065934396884833743356320272251229094857398147760420090063520176154500322758357079684927327890912596541434737058077721645283670030302902479970916721352001950890139908587439981677681008185524257112497387943034050807513901453490383498865366136170263822845001818221303325150045931561508199030167496905197369483368088887597185466874431048873273909896403611126077767906786635330012817672731656484448816053106345892997848045529464055788374340825386592238309260054734400696968209497991228585630439461752817619823853776208756210675163469602118710134793306368971045696741099894411743589251018347561530149424332576605856662083014119922660051173221466346696347931584856720448620676341182664412541749910407374635740062004149802746602173909302289644976166167808936646}
23742 293240839232819757517973751638274560974152230785443047368705056477202427716078: {545537,1255517,1680641,1727837,1802644,1869377,2510822,2575997,2670077,3225784,3280817,3360998,3515357,3629007,4217777,4264541,4544957,4965041,5057462,5339702,5477597,5777188,6185558,6314237,6343828,6467222,6475287,6638897,7287041,7708675,8154182,8434838,8716637,8907064,8995718,9131815,9250410,9543197,9818141,9867104,10020447,10047041,10302244,10458557,10778177,10958178,11100492,11175544,11416241,12551741,12572487,12686584,13045450,13121044,13183958,13185437,13739942,13819192,13862657,14272407,14808868,14852657,15256541,15546591,15654540,15749297,16151741,16271234,16698176,16699335,16999217,17055268,17666237,17812624,17891462,18717878,18737044,18785448,18818141,19473592,19542998,20039202,20140541,20184497,20226424,20602744,20641142,20915318,21133629,21355192,21391167,21463238,21534244,21907791,22546241,22651108,22754727,23178087,23198141,23244620,23458397,23848241,23986744,24024591,24107777,24712241,24970817,25201095,25401137,25465675,25530077,25864504,26430641,26881168,26900957,26985087,27071741,27711041,27893544,28306097,28773268,28941917,29097567,29195741,29612918,30151622,30241314,30322551,30420758,30460541,30558810,30712637,31227302,31257857,31380237,31495862,32048511,32094017,32300678,32344241,32510897,32596064,32611192,32760641,33010097,33104198,33206600,33733624,33993715,34183227,34308628,34376957,34459517,34830641,35077697,35611997,35648935,35694077,35803995,35817137,36098275,36571142,36670572,36687591,36717377,36839837,37097464,37357425,37470904,37921335,37950327,38190928,38427878,39485702,39847920,40119041,40277558,40449424,40541222,40720541,40792458,40920641,41080577,41519741,41734647,41858463,42154767,42382838,42504448,42692344,42778722,42964794,43317930,43432022,43543217,43920835,44055677,44217398,44473125,44828910,44841437,44926264,45076541,45292948,45505602,46014077,46044902,46053041,46083543,46205792,46247741,46286657,46305398,46379895,46481117,46825958,46985777,47397687,47438000,47587183,47605718,47643677,47798141,47817504,48028887,48124838,48145217,48207115,48222257,48376241,48562450,48880615,49387192,49471888,49488797,49678742,49937222,50099741,50198308,50290241,50533315,50542047,50927050,51109527,51655937,51981516,51985144,52334897,52598237,52705002,52913428,53367750,53498141,53685041,53794692,54020957,54058241,54073047,54579377,54839357,55332038,55358141,55489735,55560591,55655874,56162068,56501297,56607158,56925600,56967235,57015041,57161537,57344477,57381041,57563741,57848538,58032327,58274940,58483287,58639862,58656738,58692017,59035335,59415857,60639978,60720640,60844675,61112460,61140795,61389917,61419782,61675037,61710641,62159936,62208257,62420515,62421041,62633537,62744050,62971024,63083704,63092957,63304541,63621377,63931862,63977307,64041300,64372675,65186624,65216848,65263195,65310244,65578241,65890397,65931158,66098141,66429542,66587682,66754097,66915988,67176038,67441457,67475741,67484263,67981690,67989041,68193857,68260791,68310720,68360682,68427079,68611384,68704637,68867967,68976317,69551835,69758215,69829450,69929928,70149062,70818424,70842402,70969167,71031041,71135462,71201967,71531741,71831297,72190450,72196541,72333235,72395357,72726077,72864768,73013610,73334952,73368954,73591382,73680641,74008241,74124664,74188624,74465537,74775351,74904618,75278237,75292860,75301958,75440177,75666557,76150337,76325944,76600241,76632317,76758567,76849560,77080541,77187807,77208317,77247210,77749937,77845277,77881184,78315834,78671169,78748791,78794717,79015217,79271050,79426838,79670727,80196388,80234035,80312384,80872742,81043997,81136817,81445697,81451911,81546595,81578028,81750739,81819064,81972864,81985675,82073702,82091741,82245041,82397024,82501821,82550392,82553078,82703741,82886717,82978097,83031878,83160641,83191037,83390247,83462202,83528515,83709858,83795340,84189617,84427323,84550577,85108024,85175335,85239197,85447937,85687063,85715741,85866687,85892582,85896314,86338097,86455755,86485757,86535591,86539435,86628540,86799882,86927537,86932984,87078422,87381343,87484541,87616332,87720367,88024502,88096817,88358141,88468135,88496678,88857439,88965377,89018275,89109437,89368241,89381696,89388507,89912477,89969597,90351432,90680897,90691108,91359041,91360759,92019638,92046447,92219472,92221915,92367617,92403776,92486918,92696652,92776228,92869191,92953622,93283037,93613757,93696257,93823795,93861041,94025537,94337044,94408241,94580344,94816541,94893591,95125260,95403567,95746527,96204422,96271517,96280842,96406090,96601351,96758007,96932644,97116700,97228541,97492541,97588982,97752970,97782017,97799607,97855914,97860797,98238283,98382810,98486548,99214877,99447041,99575741,99885062,...,86618338999918541950106448054917535338127035073947215612782145145727891703072800991499912686830377972755323249179778437850953749863432527574494439965056049059429848599093704576868409106430938733253019135411742447038535285879413624910577582885173771600131709895198235959672272021646465779459469621233149337761261157387309435929465240318303787189673336118354406574786843121933923723320896478656017999818906867561415078351976027006046805544578778835927735649980521023910899597644523783615336772562853566358354751574820818925580981550080913537349196919225056701208687088353602445667494462662364076003548102597423417549195372342774231589196509916646650463823250788306537000199852136707440797289801892475555162133752509645484336977967622872755850591014749674310362606642295407496852918295447008389314550783933070223904481147113949529860769445302424983528838961477840161335138661046671826673839552895652675124372204528057036889748078920293205443581990108971029057899415150450807239805129523790429048634867384907771427278236323410850139460858068533565816105419376122856134103851409309670427881644380582981568639568078544975738232530669814668423170523609084566643822789972117534383648485048156728222958544209845866224578953939579255673718192259096557767222690599936452188288133037167332365155470875229533522147945958782285721515024894134120226831924705641087386139923943778690224466400592199832300533472067258721317481137630956517167254370148538673355615910856076251508258184759766865755943344817794953963622132209091429703923404215067179439377878468951412130137050834752350525782838962601554428181794429589322776404462002375113281919410483815226884281764870199553834133806363717991400287192881286489103008228003413029724652895518152678362272987457663816837179176836028227496483442578064604458426749898129329781674720976583115623431008516361923179752903281224198631645017702766972712788010755258407114106901339234336533505212355265321867338551334035505321415298220952532017348859622336379380876206566116586474838994415052456604486171156785860484251138559552929495824476450860953256079574913001626807265682212941883297195581174406461156609850177508607507890863266627948720900515730477876229721089497282995735699485796486830999994373141652990261157454934534616676373881835745887548720720008635552188449814589455883814546460201127934145640876616157298406172696907559700286932845956516147968080581452215589312215608399700340889298751615548890553561469288708014250003496574325411093787067469414683252896914000756357853782631514268047035694403232539177966468315712038605670453645044862752440401975568634647151536434518755835437547066540917709690753601502876516538902792835170235370278507080595036423567907501999988211177954473701243662111434011583812182215213694766244531586561668554042204452086178615346832138550484558803367344550269769423574878474859035174976448293549738370933742273227063064238244900248155734998919617148567462113240414714097044302517373583271486254099085268660250661305457881628154882597604099955200744926752742104286098901595327250615034480408376843642286097221640630135095280264231750484137535619527390991836368894812152105587116582467925505045454353719956375082028002926335209862881159972516521512278286385668746081914551076211270852180235575248298049204255395734267502727331954987725068897342262298545251245357796054225052133331395778200311646573309910864844605416689116651860179952995019226509097484726673224079659518839496772068294196083682561511238079888357463890082101601045452314246986842878445659192629226429735780664313134316012745204403178065202189959553456568545111649841617615383876527521342295224136498864908784993124521179883990076759832199520044521897377285080672931014511773996618812624865611061953610093006224704119903260863953434467464249251713404969}
23743 294276081199519588417267256437166992573783134443025107476768196445144061585587: {23743,47482,2253305,2703966,2822561,3391817,3766233,4032230,4838676,5041497,5739998,7221485,7586193,7793681,7929785,8009553,8633716,8665782,9278337,9515742,9700833,9778601,11100761,11133830,11204897,12091793,12231273,12333880,12626237,12652257,12877805,13241033,13360596,13493577,13875615,13969430,14610904,14800656,14900381,15453366,15586046,15858230,15883241,16313453,16401305,16437267,16650738,16651961,16763316,16890257,17039393,17273990,17698121,18027401,18155657,18511085,18685793,18769517,19029876,19568175,19681566,19775937,20609913,20610473,20728788,20872720,20988401,21143561,21319085,21367478,22213302,22265780,22407902,22631441,23416553,23421305,23481810,23521022,23836697,24341990,24406851,25047264,25250342,25283030,25405421,25582902,25753430,26693990,26718936,26771657,26837193,26917805,27425417,27607382,28076817,28105566,28178172,28313885,28323977,28521556,28534793,29055775,29210388,29314497,29516921,29517737,29798246,29801213,29983430,30058803,30085841,30339636,30724958,30904116,30961713,31024877,31372977,31550777,31601126,31636553,31763798,32032788,32194857,32301366,32330630,32402861,32460281,32787041,32859593,33417062,33601460,33777662,33976662,34866930,34879262,35393246,35966585,35980116,36073697,36308246,37191392,37355801,37647833,37835846,38796756,38964221,38968553,39168041,39310481,40189097,40321752,40430068,40745080,40763990,41363873,41508250,41840316,42019133,42167030,42655142,42731348,42885785,43159902,43213793,43287902,43544561,44419377,44654822,45227433,45332537,45361971,45487001,45577636,45631137,45676397,45838215,46371830,46838630,46840953,47243793,47669366,47738660,48451017,48894096,48916788,49077062,49656297,49809900,49938473,49973297,50432822,50561780,50600436,50950241,51155273,51176702,51462942,52503638,52702913,52979693,53052446,53130560,53365430,53538782,54389944,54856713,55005858,55099646,55198241,55410797,55608542,55646196,55811284,56157830,56206356,56289638,56616185,57038296,57064742,57286392,57641817,57667577,57757240,57877217,58447337,58722977,59030486,59054333,59228553,59297500,59771880,60034961,60166598,60416337,60674136,60797417,60811833,60874697,61188687,61444724,61733990,61839860,61966121,62044502,62747885,63196916,63574257,63756672,63832733,64038516,64168083,64447191,64859081,64915046,64976895,64981430,65148033,65175857,65293073,65946782,66141785,66326097,66785201,67243365,67389396,67939422,68012318,68086673,68146036,68258403,68915153,68953982,69061721,69067353,69308688,69458097,70202585,70238937,70273336,70300361,70721597,71109302,71157000,71172413,71408577,71591681,71726256,71793542,72097396,72139337,72187257,72231593,72546233,72843675,72968417,74080788,74165153,74207832,74407721,74469521,74518113,74746361,74905833,75297462,75383537,75388457,75900800,76066361,76390575,76392557,76514897,77131384,77298518,77376436,77699920,77921846,77972274,77977716,78208984,78423293,78713780,78854630,79057503,79370142,79754537,79926806,80051625,80692038,80853304,81050513,81121382,81483280,81521060,81637805,82646057,82667297,82757801,82998057,83483811,83644985,83885273,84243102,84511262,84732701,84910737,85019177,85085993,85303076,85388400,85764230,86261513,86288177,86570462,86772807,87412410,87959793,87985107,88315193,88523030,88783576,88790681,89657942,89951033,90959967,91014388,91080960,91147576,91324793,91473821,91668690,91823956,92129673,92274161,92655830,92735780,93239904,93428441,93539201,93772118,94116075,94456536,94625556,94935956,95283773,95407430,95762441,95897793,96061950,96066593,96737126,97153024,97351480,97779936,97825272,97965366,97992857,98448113,98642333,98896737,98910878,99644313,99658577,99700468,99872824,99881523,99938102,...,115491118666558055933475264073223380450836046765262954150376193527637188937430401321999883582440503963673764332239704583801271666484576703432659253286741398745906464798791606102491212141907918311004025513882323262718047047839218166547436777180231695466842279860264314612896362695528621039279292828310865783681681543183079247905953653757738382919564448157805875433049124162578564964427861971541357333091875823415220104469301369341395740726105038447903647533307361365214532796859365044820449030083804755144473002099761091900774642066774551383132262558966742268278249451138136594223325950216485434671397470129897890065593829790365642118928679888862200618431001051075382666933136182276587729719735856634073549511670012860645782637290163830341134121352999565747150142189727209995803891060596011185752734378577426965205974862818599373147692593736566644705118615303786881780184881395562435565119403860870233499162939370742715852997438560390940591442653478628038743865886867267742986406839365053905398179823179877028569704315097881133519281144091378087754807225834830474845471801879079560570508859174110642091519424104726634317643374226419557897560698145446088858430386629490045844864646730875637630611392279794488299438605252772340898290923012128743689630254133248602917717510716223109820207294500306044696197261278376380962020033192178826969109232940854783181519898591704920299288534122933109734044629423011628423308183507942022889672493531384897807487881141435002011010913013022487674591126423726605284829509612121906271897872286756239252503837958601882840182734446336467367710451950135405904242392572785763701872616003166817709225880645086969179042353160266071778845075151623988533716257175048652137344304004550706299537194024203571149697316610218422449572235781370969995311256770752805944568999864172439708899627968777487497908011355149230906337204374965598175526690270355963617050681007011209485475868452312448711340283140353762489784735112047340428553730961270042689798479496448505841168275421488781966451992553403275472648228209047813979001518079403905994432635267814604341439433217335502409687576283922511062927441565875281542146466903344810010521151022170598294534020973970501639628119329710660980932647728649107999992497522203987014876606579379488901831842447661183398294293344847402917933086119274511752728613601503912194187835488209731208230262543412933715910461275354863957440775269620785749620811199600454519065002154065187404748625718277352333337995432433881458382756625886244337195885334341810471710175352357396047592537643385570621957754282718140893938193393150336587202634091512862868715246025007780583396088721223612921004802003835355385203723780226980493704676107460048564757210002666650948237272631601658216148578682111749576286951593021659375448748891405389605936114904820462442851400646078404489792733693025898099837966478713566635264391399651161244989697636084085650993200330874313331892822864756616150987219618796059070023164777695315005465447024880334215073943842170873176796805466606934326569003656139048131868793769667486712640544502458189714796295520840180127040352309000645516714159369854655781825193082869474116155443290567340060605804959941833442704003901780279817174879963355362016371048514224994775886068101615027802906980766997730732272340527645690003636442606650300091863123016398060334993810394738966736177775194370933748862097746547819792807222252155535813573270660025635345463312968897632106212691785995696091058928111576748681650773184476618520109468801393936418995982457171260878923505635239647707552417512421350326939204237420269586612737942091393482199788823487178502036695123060298848665153211713324166028239845320102346442932693392695863169713440897241352682365328825083499820814749271480124008299605493204347818604579289952332335617873292}
23744 295314954192472955820137932893067779305101337226896910252603752317717723374959: {71223,1091074,1586359,1727983,2511034,3361282,3455674,3562543,3605288,3738754,3843703,4055949,4264903,5021644,5151994,5340154,6048345,6361183,6451568,6561634,6721996,7030714,7258014,7333903,8435554,8529082,8609997,8717383,9089914,9930082,10093663,10114924,10679404,10792145,10955194,11554376,12371116,12552823,12628474,12687656,12688759,12784541,12934444,12950574,12998673,13231783,13277794,13367359,13908943,14179303,14273613,14574082,15417350,15526783,15929623,16308364,16700745,16733359,16867063,16869676,17267743,17433274,17814128,17991436,18263630,18500820,18863983,19086394,19636282,19734208,20040894,20094082,20186263,20604488,20917114,20954145,21370159,21556354,21916356,22025359,22200984,22351088,22832482,23180049,23379069,23787345,24757543,24976107,25103482,25144974,25373168,25403383,25910985,26090900,26242088,26367916,26370874,26432983,27074143,27330103,27479884,27638384,27725314,27832225,28544814,28986823,29113759,29240623,29522349,29617736,29705314,30513082,31093182,31309080,31498594,32051217,32303482,32388823,32542468,32763583,33319953,33396352,33398670,33611853,33998434,34110536,35222715,35281533,35332474,35368759,35625248,35651945,35782924,35861383,36512985,37332343,37435756,37474088,37570896,37636282,37875513,37924545,38307223,38374353,38428759,38550223,38630145,38947184,39085996,39156463,39519343,40040985,40078404,40281082,40368994,40452848,40964383,41205488,41282284,41411073,41830636,42001825,42158349,42267258,42710384,42782334,42926476,43068488,43231159,43349743,43815582,43823359,44697369,44975145,45092482,45119863,45302216,45509454,46057303,46087437,46290943,46356174,46396282,46489240,46916794,47401689,47591201,47645697,47696482,47802583,47973488,48049182,48215554,48380743,48452049,48495945,49424482,49531663,49908509,49941634,50125593,50218759,50402190,50537585,50666493,50802274,50931350,50964993,51060154,51729008,52300395,52318893,52490359,52861282,53089869,53414185,53762336,53801914,53970174,54063343,54143482,54175159,54462369,55422082,55787088,56396359,56506663,56612194,56753769,56972045,57057103,57386503,57546536,57883834,58195134,58391482,58588759,59225836,59673325,59674159,60214159,60303244,60482628,60645102,60841516,60921082,61117620,61145985,61425274,61489169,61716583,62249743,62262375,62454604,62515714,62760474,62887159,62991724,63202225,63250545,63982713,64097022,64188034,64601356,64688482,64739853,64931853,65021794,65192128,65222384,65410903,65521282,66020194,66208396,66413200,66982233,67467248,67482343,67489961,67687903,67987430,68366454,68432861,68617256,68753914,68919034,69017023,69557745,69661282,69764105,70132159,70155394,70257945,70746641,71038063,71223994,71297870,71388154,71504049,71607990,71634274,72037783,72196550,72236863,73030303,73129159,73142284,73227943,73341144,73375182,73434754,73615593,73679674,73720783,74113759,74121875,74194928,74701063,74714850,74941808,75649233,75842670,75900654,76381856,76640023,76765053,76805905,76855756,77024359,77194413,77299825,77685629,77884903,78075343,78455359,78755457,78971404,78996145,79400359,79578669,79695840,79754129,79870159,80048145,80238082,80308173,80555116,80898848,81082444,81441082,81584916,81841282,82100143,82161154,82508787,82649469,82742743,83017063,83039482,83199583,83412813,83469294,83563759,83716926,84017359,84236745,84309534,84434457,84469159,84559303,84765676,85008896,85182545,85384688,85557444,85597113,85929588,86635860,86701159,86789503,86864044,87086434,87388721,87493663,87841670,88106023,88111354,88434796,88545729,88888159,88946250,88974703,89657820,89682874,89852528,90121745,90153082,90249897,90585896,91011204,91368473,91368703,92028154,92089804,92106082,92167086,92411584,92495482,92573314,92600985,92610796,92759790,92962234,93044143,93066753,93127159,93541159,93651916,93971554,94795374,94876000,95174366,95179159,95211436,95287354,95596282,95635008,96057774,96249676,96290434,96414230,96444514,96720545,96752482,96788359,97124900,97372569,97472145,97661501,97761230,98368759,98392225,98774384,98920173,98943776,98977594,99357484,99457903,99535159,99612343,99874444,...,173236677999837083900212896109835070676254070147894431225564290291455783406145601982999825373660755945510646498359556875701907499726865055148988879930112098118859697198187409153736818212861877466506038270823484894077070571758827249821155165770347543200263419790396471919344544043292931558918939242466298675522522314774618871858930480636607574379346672236708813149573686243867847446641792957312035999637813735122830156703952054012093611089157557671855471299961042047821799195289047567230673545125707132716709503149641637851161963100161827074698393838450113402417374176707204891334988925324728152007096205194846835098390744685548463178393019833293300927646501576613074000399704273414881594579603784951110324267505019290968673955935245745511701182029499348620725213284590814993705836590894016778629101567866140447808962294227899059721538890604849967057677922955680322670277322093343653347679105791305350248744409056114073779496157840586410887163980217942058115798830300901614479610259047580858097269734769815542854556472646821700278921716137067131632210838752245712268207702818619340855763288761165963137279136157089951476465061339629336846341047218169133287645579944235068767296970096313456445917088419691732449157907879158511347436384518193115534445381199872904376576266074334664730310941750459067044295891917564571443030049788268240453663849411282174772279847887557380448932801184399664601066944134517442634962275261913034334508740297077346711231821712152503016516369519533731511886689635589907927244264418182859407846808430134358878755756937902824260274101669504701051565677925203108856363588859178645552808924004750226563838820967630453768563529740399107668267612727435982800574385762572978206016456006826059449305791036305356724545974915327633674358353672056454992966885156129208916853499796258659563349441953166231246862017032723846359505806562448397263290035405533945425576021510516814228213802678468673067010424710530643734677102668071010642830596441905064034697719244672758761752413132233172949677988830104913208972342313571720968502277119105858991648952901721906512159149826003253614531364425883766594391162348812922313219700355017215015781726533255897441801031460955752459442178994565991471398971592973661999988746283305980522314909869069233352747763671491775097441440017271104376899629178911767629092920402255868291281753232314596812345393815119400573865691913032295936161162904431178624431216799400681778597503231097781107122938577416028500006993148650822187574134938829366505793828001512715707565263028536094071388806465078355932936631424077211340907290089725504880803951137269294303072869037511670875094133081835419381507203005753033077805585670340470740557014161190072847135815003999976422355908947402487324222868023167624364430427389532489063173123337108084408904172357230693664277100969117606734689100539538847149756949718070349952896587099476741867484546454126128476489800496311469997839234297134924226480829428194088605034747166542972508198170537320501322610915763256309765195208199910401489853505484208572197803190654501230068960816753687284572194443281260270190560528463500968275071239054781983672737789624304211174233164935851010090908707439912750164056005852670419725762319945033043024556572771337492163829102152422541704360471150496596098408510791468535005454663909975450137794684524597090502490715592108450104266662791556400623293146619821729689210833378233303720359905990038453018194969453346448159319037678993544136588392167365123022476159776714927780164203202090904628493973685756891318385258452859471561328626268632025490408806356130404379919106913137090223299683235230767753055042684590448272997729817569986249042359767980153519664399040089043794754570161345862029023547993237625249731222123907220186012449408239806521727906868934928498503426809938}
23745 296357470864416340944724093408738120916375316506553616032775904592407572436078: {47486,94964,1636611,3154627,3766551,4008511,4506610,5041923,5183511,5407932,5608131,5645122,6277055,6783634,7532466,7727991,8010231,8064460,8402495,9677352,9842451,10082994,10110079,10546071,10887021,11101699,11479996,12246179,12643655,12653331,12793623,13242151,13349255,13634871,14442970,14895123,15172386,15463895,15587362,15859570,16019106,16168055,16432791,16509839,16653367,17267432,17331564,18028927,18480803,18556674,18771103,18942711,19031484,19401666,19425861,19557202,19916691,19920767,20385455,21087095,21861123,22201522,22267660,22409794,22489295,22961827,23126025,23740007,24183586,24462546,24667760,25252474,25304514,25755610,25915519,26149911,26256263,26482066,26721192,26987154,27157519,27395445,27751230,27808979,27938860,28629591,28852511,29221808,29454423,29601312,29800762,29846719,30061341,30141123,30906732,31172092,31375671,31553443,31639231,31716460,31766482,32110691,32260847,32334531,32405599,32613625,32626906,32789827,32802610,32874534,32959895,33301476,33303922,33473791,33526632,33780514,34011923,34078786,34248723,34349855,34547980,35396242,36054802,36311314,36370031,37022170,37371586,37539034,37655223,37684927,37717461,38059752,39136350,39363132,39551874,39556311,39639439,39777503,40567559,40678085,41219826,41220946,41457576,41587971,41745440,41976802,42287122,42632551,42638170,42734956,42817221,43292579,43548247,44426604,44531560,44557971,44728655,44815804,44836583,45262882,45769623,46230211,46289503,46639773,46794695,46833106,46842610,46963620,47042044,47247891,47673394,48376751,48455223,48683980,48813702,48857495,50094528,50098005,50353219,50500684,50566060,50810842,50997651,51004679,51165804,51506860,51602855,52288295,52998711,53387980,53437872,53543314,53658095,53674386,53835610,54850834,55214764,56153634,56211132,56356344,56454423,56627770,56647954,56884631,56944387,57043112,57069586,58111550,58420776,58628994,59033842,59035474,59059351,59596492,59602426,59966860,60040099,60117606,60171682,60421623,60553491,60679272,60981287,61359791,61449916,61808232,61923426,62049754,62745954,63101554,63202252,63273106,63400887,63527596,64065576,64173501,64389714,64602732,64661260,64805722,64920562,65574082,65719186,65723373,66834124,66889679,67202920,67555324,67638723,67953324,68152591,68264181,68795663,69067567,69534261,69594423,69733860,69758524,70375191,70786492,71544723,71659607,71933170,71960232,72073773,72147394,72323331,72616492,72974611,73258727,73900391,74032295,74136723,74171431,74382784,74711602,74912451,75295666,75379055,75603285,75671692,76051895,76203411,76397025,76424639,76590231,77347031,77593512,77928442,77937106,78068255,78336082,78620962,78739655,78805319,78843299,79262659,79291923,80247331,80378194,80643504,80702871,80751695,80860136,80955261,81215223,81490160,81527980,81655079,82245587,82727746,82760495,83016500,83133123,83680632,84038266,84334060,84918291,85310284,85462696,85771570,86319804,86427586,86575804,86825751,87089122,87292701,87587223,87847039,87901183,88838754,89309644,90454866,90665074,90723942,90967653,90974002,91155272,91262274,91352794,91381623,91427855,91676430,92137911,92598499,92743660,93677260,93681906,93701471,93773571,94140711,94487586,95174767,95338732,95477320,96069695,96145533,96282051,96902034,97032723,97532691,97740023,97788192,97833576,98154124,98281923,98283619,98714255,98756447,99030291,99312594,99619800,99876946,99946594,...,259855016999755625850319344164752606014381105221841646838346435437183675109218402974499738060491133918265969747539335313552861249590297582723483319895168147178289545797281113730605227319292816199759057406235227341115605857638240874731732748655521314800395129685594707879016816064939397338378408863699448013283783472161928307788395720954911361569020008355063219724360529365801771169962689435968053999456720602684245235055928081018140416633736336507783206949941563071732698792933571350846010317688560699075064254724462456776742944650242740612047590757675170103626061265060807337002483387987092228010644307792270252647586117028322694767589529749939951391469752364919611000599556410122322391869405677426665486401257528936453010933902868618267551773044249022931087819926886222490558754886341025167943652351799210671713443441341848589582308335907274950586516884433520484005415983140015480021518658686958025373116613584171110669244236760879616330745970326913087173698245451352421719415388571371287145904602154723314281834708970232550418382574205600697448316258128368568402311554227929011283644933141748944705918704235634927214697592009444005269511570827253699931468369916352603150945455144470184668875632629537598673736861818737767021154576777289673301668071799809356564864399111501997095466412625688600566443837876346857164545074682402360680495774116923262158419771831336070673399201776599496901600416201776163952443412892869551501763110445616020066847732568228754524774554279300597267830034453384861890866396627274289111770212645201538318133635406854236390411152504257051577348516887804663284545383288767968329213386007125339845758231451445680652845294610598661502401419091153974200861578643859467309024684010239089173958686554458035086818962372991450511537530508084682489450327734193813375280249694387989345024162929749346870293025549085769539258709843672595894935053108300918138364032265775221342320704017703009600515637065795965602015654002106515964245894662857596052046578867009138142628619698349759424516983245157369813458513470357581452753415678658788487473429352582859768238724739004880421797046638825649891586743523219383469829550532525822523672589799883846162701547191433628689163268491848987207098457389460492999983119424958970783472364803603850029121645507237662646162160025906656565349443768367651443639380603383802436922629848471895218518090722679100860798537869548443904241744356646767936646825199101022667896254846646671660684407866124042750010489722976233281361202408244049758690742002269073561347894542804141107083209697617533899404947136115817011360935134588257321205926705903941454609303556267506312641199622753129072260804508629549616708378505510706110835521241785109270703722505999964633533863421103730986334302034751436546645641084298733594759685005662126613356258535846040496415651453676410102033650809308270724635424577105524929344880649215112801226819681189192714734700744467204996758851445702386339721244142291132907552120749814458762297255805980751983916373644884464647792812299865602234780258226312858296704785981751845103441225130530926858291664921890405285840792695251452412606858582172975509106684436456316761349747403776515136363061159869125246084008779005629588643479917549564536834859157006238245743653228633812556540706725744894147612766187202802508181995864963175206692026786895635753736073388162675156399994187334600934939719929732594533816250067349955580539858985057679527292454180019672238978556518490316204882588251047684533714239665072391670246304803136356942740960528635336977577887679289207341992939402948038235613209534195606569878660369705635334949524852846151629582564026885672409496594726354979373563539651970230279496598560133565692131855242018793043535321989856437874596833185860830279018674112359709782591860303402392747755140214907}
23746 297403643911889304130931292623313646663195310711942472682370901502603413022478: {71229,118705,142446,1397533,1964029,2182148,2670529,3172718,3234433,3455966,4218493,4639153,5022068,6722564,6759915,6911348,7125086,7210576,7477508,7687406,8111898,8119453,8467683,8529806,9085873,9774013,10043288,10080575,10175451,10303988,10460353,10680308,10871293,11298699,12096690,12722366,12903136,12916273,13123268,13443992,13594333,14061428,14349995,14516028,14667806,14945053,15109003,15124491,15214333,15752029,16556413,16871108,17058164,17091229,17219994,17434766,17758129,18179828,18556033,19218973,19860164,20187326,20229848,20275933,21196993,21358808,21584290,21664455,21910388,22245313,22758579,23108752,23158813,23381043,23789355,23809153,24028659,24742232,24975229,25104433,25105646,25256948,25375312,25377518,25569082,25868888,25901148,25997346,26463566,26555588,26734718,27817886,27834575,27835011,28358606,28547226,28692913,29102499,29148164,29335803,30834700,31053566,31859246,32099773,32616728,33099133,33302283,33348253,33401490,33466718,33614691,33734126,33739352,34465729,34535486,34866548,34923575,35628256,35700529,35982872,36192433,36275379,36527260,36693819,36805693,37001640,37661233,37727966,37878711,37956771,38148529,38172788,38633415,38965115,39272564,39468416,39645575,39723099,40081788,40188164,40372526,40480731,41208976,41626845,41646973,41834228,41908290,42740318,42958129,43076893,43112708,43184975,43832712,44050718,44401968,44701143,44702176,44732029,45437053,45664964,46022593,46360098,46758138,47574690,47649723,48231229,48940359,49203915,49311801,49515086,49912723,49952214,49955883,50070973,50206964,50289948,50670771,50746336,50806766,51118179,51211453,51665629,51821970,52181800,52484176,52683313,52735832,52741748,52865966,53094363,53418695,54082203,54148286,54466971,54660206,54959768,55276768,55450628,55533255,55664450,56019755,56033473,56057379,56308551,56585533,57089628,57355393,57973646,58227518,58481246,58704525,58802555,59044698,59235472,59327811,59410628,59427229,60399553,60854975,61026164,61151773,61473073,61829739,61831419,62186364,62220253,62618160,62965203,62997188,63125855,63207575,63430683,63704029,63957255,64102434,64335613,64383575,64606964,64777646,65084936,65527166,65799229,66639906,66734975,66792704,66797340,67223706,67894323,67996868,68221072,68275453,68989873,69018455,69396529,70004353,70249659,70263915,70445430,70563066,70664948,70737518,70752619,71250496,71303890,71312413,71510091,71565848,71722766,72806593,72905629,73025970,73220553,74495615,74664686,74779859,74871512,74948176,74958575,75141792,75260893,75272564,75746353,75751026,75849090,76216263,76326529,76614446,76748706,76812395,76857518,77100446,77260290,77894368,78171992,78312926,79002815,79038686,79094173,79282813,79409495,79753153,79760863,80081970,80156808,80314971,80511579,80562164,80737988,80753415,80826575,80905696,81928766,82276251,82410976,82564568,82822146,83360029,83451073,83542655,83661272,84003650,84230451,84316698,84444155,84534516,84718129,84941655,84971931,85420768,85564668,85604379,85852952,85971073,86136976,86462318,86699486,87167325,87198155,87631164,87646718,87824029,87943491,88483115,88550763,88553211,89128129,89394738,89403639,89950290,89988529,90176409,90184964,90239726,90257523,90604432,90756733,90770615,90926653,91018908,92024113,92114606,92174874,92581886,92712348,92792564,92885139,92943229,92978480,93074631,93358129,93771229,93833588,94118931,94589615,94652331,94803378,94909659,95182402,95291394,95392964,95605166,95809729,95946976,96098364,96431108,96584571,96761486,96904098,96991890,97208583,97380843,97669747,97803229,98196529,98361123,98578779,98848964,98977729,99063326,99288193,99817018,99883268,...,346473355999674167800425792219670141352508140295788862451128580582911566812291203965999650747321511891021292996719113751403814999453730110297977759860224196237719394396374818307473636425723754933012076541646969788154141143517654499642310331540695086400526839580792943838689088086585863117837878484932597351045044629549237743717860961273215148758693344473417626299147372487735694893283585914624071999275627470245660313407904108024187222178315115343710942599922084095643598390578095134461347090251414265433419006299283275702323926200323654149396787676900226804834748353414409782669977850649456304014192410389693670196781489371096926356786039666586601855293003153226148000799408546829763189159207569902220648535010038581937347911870491491023402364058998697241450426569181629987411673181788033557258203135732280895617924588455798119443077781209699934115355845911360645340554644186687306695358211582610700497488818112228147558992315681172821774327960435884116231597660601803228959220518095161716194539469539631085709112945293643400557843432274134263264421677504491424536415405637238681711526577522331926274558272314179902952930122679258673692682094436338266575291159888470137534593940192626912891834176839383464898315815758317022694872769036386231068890762399745808753152532148669329460621883500918134088591783835129142886060099576536480907327698822564349544559695775114760897865602368799329202133888269034885269924550523826068669017480594154693422463643424305006033032739039067463023773379271179815854488528836365718815693616860268717757511513875805648520548203339009402103131355850406217712727177718357291105617848009500453127677641935260907537127059480798215336535225454871965601148771525145956412032912013652118898611582072610713449091949830655267348716707344112909985933770312258417833706999592517319126698883906332462493724034065447692719011613124896794526580070811067890851152043021033628456427605356937346134020849421061287469354205336142021285661192883810128069395438489345517523504826264466345899355977660209826417944684627143441937004554238211717983297905803443813024318299652006507229062728851767533188782324697625844626439400710034430031563453066511794883602062921911504918884357989131982942797943185947323999977492566611961044629819738138466705495527342983550194882880034542208753799258357823535258185840804511736582563506464629193624690787630238801147731383826064591872322325808862357248862433598801363557195006462195562214245877154832057000013986297301644375148269877658733011587656003025431415130526057072188142777612930156711865873262848154422681814580179451009761607902274538588606145738075023341750188266163670838763014406011506066155611171340680941481114028322380145694271630007999952844711817894804974648445736046335248728860854779064978126346246674216168817808344714461387328554201938235213469378201079077694299513899436140699905793174198953483734969092908252256952979600992622939995678468594269848452961658856388177210069494333085945016396341074641002645221831526512619530390416399820802979707010968417144395606381309002460137921633507374569144388886562520540381121056927001936550142478109563967345475579248608422348466329871702020181817414879825500328112011705340839451524639890066086049113145542674984327658204304845083408720942300993192196817021582937070010909327819950900275589369049194181004981431184216900208533325583112801246586293239643459378421666756466607440719811980076906036389938906692896318638075357987088273176784334730246044952319553429855560328406404181809256987947371513782636770516905718943122657252537264050980817612712260808759838213826274180446599366470461535506110085369180896545995459635139972498084719535960307039328798080178087589509140322691724058047095986475250499462444247814440372024898816479613043455813737869856997006853619876}
23747 298453486075385141234687941806431274251600087365427040540442361497707442210507: {23747,94972,189928,213669,2727685,3273222,4435453,4759077,5183949,6277585,6309254,7533102,8017022,8403205,8639185,8787877,9013220,9346885,10083846,10367022,10687629,10815864,11216262,11290244,11531109,11763493,12167847,12247213,12554110,12794709,12879985,13350385,13567268,14472757,15064932,15366373,15455982,16020462,16128920,16404085,16511233,16804990,17315197,17444053,17576785,17701117,18145035,18452173,18688957,19001389,19083549,19354704,19684902,19922449,20157637,20165988,20220158,21088885,21092142,21294613,21322705,21332977,21649453,21774042,21840949,22001709,22203398,22635277,22724785,22959992,23742013,24492358,24544753,24825205,25287310,25306662,25587246,25594837,25829991,26152149,26484302,26532949,26698510,26776189,26952157,27269742,27387985,27811333,28151953,28328773,28539637,28854949,28885940,29363389,29521933,29790246,30280989,30344772,30927790,31030129,31174724,31485013,31571185,31719140,32038212,32263573,32336110,32376435,32865157,32865582,32981773,33019678,33194485,33199189,33306734,34485733,34534864,34663128,35563693,35905873,36057854,36435205,36961606,37113348,37542206,37658469,37885422,38062968,38066277,38353623,38543375,38803332,38851722,38878309,38970817,38996019,39114404,39695349,39833382,39841534,40102077,40195909,40570993,40770910,41149957,41370877,41717869,41726829,42174190,42537909,42820839,42970237,43583185,43722246,44403044,44535320,44819588,44840389,44978590,45340213,45659075,45923654,46143853,46252050,46383733,46580349,47480014,47715985,47788869,48089797,48367172,48925092,49090705,49335520,50102235,50200077,50235205,50504948,50601189,50609028,50958877,51009013,51163957,51511220,51522493,51803229,51831038,52292785,52299822,52512526,52554973,52711837,52964132,52988689,53442384,53890885,53974308,54315038,54790890,54876229,54948097,55502460,55617958,55877720,56591949,56949319,57081205,57259182,57705022,58443616,58701973,58908846,59202624,59601524,59693438,59730673,60122682,60278257,60282246,60558789,60807709,60986449,61773613,61813464,62344184,62620117,62751342,62758705,62862435,63106886,63278462,63432920,63532964,64110477,64221382,64521694,64669062,64811198,65186893,65227250,65253812,65304157,65512573,65579654,65605220,65749068,65919790,65927185,66076077,66602952,66607844,66895357,66947582,67053264,67561028,67907389,68023846,68157572,68400493,68497446,68699710,69095960,69281137,69313285,69540147,70137207,70733569,70792484,71085709,71362035,71479573,72109604,72151549,72243997,72460273,72558517,72622628,72740062,73203613,74044340,74263285,74272629,74420317,74628049,74743172,74759053,74928321,75078068,75121333,75310446,75369854,75434922,76119504,76210149,76282705,76405489,76431133,76527853,77224897,77732955,78272700,78311053,78726264,78746485,78849973,79103748,79112622,79278878,79298949,79555006,79605373,80090149,80389069,80758705,81064237,81135118,81222429,81356170,81990309,82252549,82439652,82441892,82681309,82915152,83175942,83490880,83496675,83899477,83953604,84574244,84996085,85033573,85100437,85265102,85276340,85415773,85469912,85634442,86585158,86740093,86960469,87096494,87341277,87721869,88076533,88226833,88330189,88331185,88567047,88853208,88893349,89063120,89115942,89457310,89631608,89673166,90482437,90525764,91539246,92460422,92579006,93071617,93279546,93444277,93589390,93666212,93685220,93687313,93892993,93927240,94084088,94090705,94340653,94495782,95346788,96153651,96501457,96753502,96910446,97166469,97367960,97375333,97627404,97714990,98290749,99675469,99959859,...,519710033999511251700638688329505212028762210443683293676692870874367350218436805948999476120982267836531939495078670627105722499180595165446966639790336294356579091594562227461210454638585632399518114812470454682231211715276481749463465497311042629600790259371189415758033632129878794676756817727398896026567566944323856615576791441909822723138040016710126439448721058731603542339925378871936107998913441205368490470111856162036280833267472673015566413899883126143465397585867142701692020635377121398150128509448924913553485889300485481224095181515350340207252122530121614674004966775974184456021288615584540505295172234056645389535179059499879902782939504729839222001199112820244644783738811354853330972802515057872906021867805737236535103546088498045862175639853772444981117509772682050335887304703598421343426886882683697179164616671814549901173033768867040968010831966280030960043037317373916050746233227168342221338488473521759232661491940653826174347396490902704843438830777142742574291809204309446628563669417940465100836765148411201394896632516256737136804623108455858022567289866283497889411837408471269854429395184018888010539023141654507399862936739832705206301890910288940369337751265259075197347473723637475534042309153554579346603336143599618713129728798223003994190932825251377201132887675752693714329090149364804721360991548233846524316839543662672141346798403553198993803200832403552327904886825785739103003526220891232040133695465136457509049549108558601194535660068906769723781732793254548578223540425290403076636267270813708472780822305008514103154697033775609326569090766577535936658426772014250679691516462902891361305690589221197323004802838182307948401723157287718934618049368020478178347917373108916070173637924745982901023075061016169364978900655468387626750560499388775978690048325859498693740586051098171539078517419687345191789870106216601836276728064531550442684641408035406019201031274131591931204031308004213031928491789325715192104093157734018276285257239396699518849033966490314739626917026940715162905506831357317576974946858705165719536477449478009760843594093277651299783173487046438766939659101065051645047345179599767692325403094382867257378326536983697974414196914778920985999966238849917941566944729607207700058243291014475325292324320051813313130698887536735302887278761206767604873845259696943790437036181445358201721597075739096887808483488713293535873293650398202045335792509693293343321368815732248085500020979445952466562722404816488099517381484004538147122695789085608282214166419395235067798809894272231634022721870269176514642411853411807882909218607112535012625282399245506258144521609017259099233416757011021412221671042483570218541407445011999929267067726842207461972668604069502873093291282168597467189519370011324253226712517071692080992831302907352820204067301618616541449270849154211049858689761298430225602453639362378385429469401488934409993517702891404772679442488284582265815104241499628917524594511611961503967832747289768929295585624599731204469560516452625716593409571963503690206882450261061853716583329843780810571681585390502904825213717164345951018213368872912633522699494807553030272726122319738250492168017558011259177286959835099129073669718314012476491487306457267625113081413451489788295225532374405605016363991729926350413384053573791271507472146776325350312799988374669201869879439859465189067632500134699911161079717970115359054584908360039344477957113036980632409765176502095369067428479330144783340492609606272713885481921057270673955155775358578414683985878805896076471226419068391213139757320739411270669899049705692303259165128053771344818993189452709958747127079303940460558993197120267131384263710484037586087070643979712875749193666371721660558037348224719419565183720606804785495510280429814}
23748 299507010139502054813264213844268933445561850763844060296450410516346591512427: {118715,142458,166187,237410,284892,687851,1397651,1444907,1681067,1869851,2795066,3281651,3516251,3928058,3938027,4265627,4364296,4499387,4686251,4909833,4966307,5341058,5618651,5897747,6345436,6468866,6911932,7427627,7751027,8166251,8436986,8856851,9278306,9463881,9545651,9820667,10044136,10643987,11145851,11266525,11299653,12025533,12101267,12690947,13445128,13519830,13822696,14112805,14250172,14271827,14421152,14586827,14955016,15125769,15260507,15374812,15550533,15619067,15932387,16223796,16238906,16334651,16557851,16736267,16824393,16935366,16959085,17059612,18070307,18171746,18601907,18831165,18955667,19548026,20057867,20086576,20089993,20161150,20277707,20350902,20607976,20920706,21360616,21373907,21461387,21742586,22116467,22597398,22682747,22943651,23183973,23204267,23421227,23594651,23811251,23854547,24030693,24193380,24243851,24848147,25106651,25207485,25444732,25536851,25806272,25832546,26246536,26651627,26887984,27188666,27420227,27846107,28122856,28699990,28737851,29032056,29203547,29330387,29335612,29527353,29890106,30218006,30248982,30330237,30428666,30594827,30888827,31266251,31504058,31638213,32661063,32769467,33112826,33143651,33305097,33742216,34116328,34182458,34439988,34592651,34869532,35457347,35516258,35826851,36107425,36195707,36359656,36604787,36738537,36849851,37112066,37420547,37664651,37908467,37930965,37959993,38380869,38437946,38968405,39244307,39648925,39720328,39726453,39727907,40047765,40374652,40459696,40551866,40851827,40904613,41051867,41291651,41650787,42128627,42393986,42486251,42717616,43168580,43328910,43436747,43713107,43820776,44490626,44685369,45206507,45441251,45517158,46065827,46182707,46217504,46317626,46391685,46649507,46762086,46998851,47578710,47618306,48057318,48504165,48697427,48893005,48966227,49298373,49484464,49529517,49950458,49960101,50113787,50208866,50211292,50228147,50304347,50418587,50513896,50684867,50750624,50755036,51138164,51737776,51802296,51994692,52927132,53111176,53469436,53513267,54086781,54185387,54551161,54594851,54817787,55151651,55442409,55503805,55635772,55669150,55670022,55854347,56024485,56075651,56313309,56590907,56627651,56717212,56828133,57094452,57360851,57385826,57397427,58054427,58204998,58277583,58296328,58454651,58671606,58672547,58998851,59577347,59750073,59757707,59762301,60458965,61156365,61157651,61669400,62107132,62226251,62261747,62969987,63131185,63261285,63428627,63718492,64166651,64199546,64376867,64389025,64656707,65233456,65583369,66198266,66205165,66604566,66696506,66802980,66933436,66980267,67229382,67467885,67468252,67478704,67598387,68486651,68885481,68931458,68996651,69030587,69070972,69301787,69378075,69733096,69847150,70213307,70851251,71152427,71220021,71256512,71352851,71401058,71652947,71965744,72052067,72384866,72550758,73044827,73054520,73387638,73505651,73611386,73801067,74003280,74128547,74193947,74487851,74501905,74618267,74786173,75300851,75322466,75455932,75757422,75913542,76141067,76297058,76345576,77103827,77266830,77518787,77746557,77868851,77930230,78154547,78427657,78449733,78545128,78768789,78818651,78936832,79291150,79322267,79416205,79446198,79761251,79792547,80163576,80376328,80745052,80961462,81161651,81472557,81567265,81748067,82006525,82186335,82323577,82362227,82417952,82729187,83003651,83186267,83253690,83259805,83293946,83426937,83668456,83816580,84034667,84451285,84486587,85196965,85480636,85831547,85888773,85916258,86153786,86225416,86335427,86369950,86557533,86866427,87599627,87665424,87949787,88101436,88363269,88376197,88490605,88803936,89223851,89402286,89404352,89464058,89540157,90137005,90184023,90423369,90778285,90794651,90874106,90964547,91329928,91388027,92045186,92201651,92480651,92555425,92720196,93063947,93428965,93516276,93726251,93847585,94127013,94660329,94792667,94917693,94928507,95149380,95299446,96332073,96462458,96569651,96625837,96782541,96809267,96862427,97003593,97216797,97734947,97840875,97880718,97892651,98369481,98390147,98407830,98442347,98623602,98832827,98879685,99030172,99169787,99324851,99556907,99608387,99825446,99904428,99911766,...,779565050999266877550958032494257818043143315665524940515039306311551025327655208923499214181473401754797909242618005940658583748770892748170449959685504441534868637391843341191815681957878448599277172218705682023346817572914722624195198245966563944401185389056784123637050448194818192015135226591098344039851350416485784923365187162864734084707060025065189659173081588097405313509888068307904161998370161808052735705167784243054421249901209009523349620849824689215198096378800714052538030953065682097225192764173387370330228833950728221836142772273025510310878183795182422011007450163961276684031932923376810757942758351084968084302768589249819854174409257094758833001798669230366967175608217032279996459203772586809359032801708605854802655319132747068793263459780658667471676264659023075503830957055397632015140330324025545768746925007721824851759550653300561452016247949420046440064555976060874076119349840752513332007732710282638848992237910980739261521094736354057265158246165714113861437713806464169942845504126910697651255147722616802092344948774385105705206934662683787033850934799425246834117756112706904781644092776028332015808534712481761099794405109749057809452836365433410554006626897888612796021210585456213301063463730331869019905004215399428069694593197334505991286399237877065801699331513629040571493635224047207082041487322350769786475259315494008212020197605329798490704801248605328491857330238678608654505289331336848060200543197704686263574323662837901791803490103360154585672599189881822867335310637935604614954400906220562709171233457512771154732045550663413989853636149866303904987640158021376019537274694354337041958535883831795984507204257273461922602584735931578401927074052030717267521876059663374105260456887118974351534612591524254047468350983202581440125840749083163968035072488789248040610879076647257308617776129531017787684805159324902754415092096797325664026962112053109028801546911197387896806046962006319547892737683988572788156139736601027414427885859095049278273550949735472109440375540411072744358260247035976365462420288057748579304716174217014641265391139916476949674760230569658150409488651597577467571017769399651538488104641574300886067489805475546961621295372168381478999949358274876912350417094410811550087364936521712987938486480077719969696048331305102954330918141810151407310767889545415685655554272168037302582395613608645331712725233069940303809940475597303068003688764539940014982053223598372128250031469168928699844083607224732149276072226006807220684043683628412423321249629092852601698214841408347451034082805403764771963617780117711824363827910668802518937923598868259387216782413525888648850125135516532118332506563725355327812111167517999893900601590263311192959002906104254309639936923252896200784279055016986379840068775607538121489246954361029230306100952427924812173906273731316574788034641947645338403680459043567578144204102233401614990276554337107159019163732426873398722656362249443376286891767417942255951749120934653393943378436899596806704340774678938574890114357945255535310323675391592780574874994765671215857522378085754357237820575746518926527320053309368950284049242211329545409089183479607375738252026337016888765930439752648693610504577471018714737230959685901437669622120177234682442838298561608407524545987594889525620076080360686907261208220164488025469199982562003802804819159789197783601448750202049866741619576955173038581877362540059016716935669555470948614647764753143053601142718995217175010738914409409070828222881585906010932733663037867622025978818208844114706839628602586819709635981109116906004848574558538454888747692080657017228489784179064938120690618955910690838489795680400697076395565726056379130605965969569313623790499557582490837056022337079129347775580910207178243265420644721}
23749 300564228933094841849216996050248682768616456746252710298814930050672959776132: {47494,189944,213687,356115,379856,427338,3818759,4192599,4957271,5241899,5455370,5892087,6546444,7931795,8011587,8639915,8788619,8870906,9518154,9703299,10367898,11764487,12094859,12555170,12618508,12655479,13085639,13917459,14473979,15066204,15887267,16034044,16806410,17278370,17316659,17445527,17575754,17812715,18026440,18031979,18160259,18453731,18690539,18693770,19218515,19352279,20159339,20167692,20279745,20615699,20734044,21296411,21324515,21375258,21631728,22432524,22456187,22580488,22763207,22965719,23062218,23526986,23842739,24335694,24358359,24494426,24546827,24607499,25108220,25403049,25589418,25759970,26535191,26700770,27134536,27257619,27432371,28331171,28945514,29322039,29524439,29525219,29851787,30093467,30122999,30129864,30241725,30526353,30732746,30911964,31381059,31644587,31805915,31814699,32040924,32257840,32613879,32808170,32867939,33022466,33479459,33609980,33896097,34488647,34630394,34702187,34755287,34888106,35153570,35402234,35908907,36082871,36290070,36669515,36904346,37377914,37657379,38002778,38167098,38343179,38709408,38748819,38978459,39369804,39844898,40315274,40331976,40440316,40724387,40782999,41374379,42029819,42177770,42184284,42589226,42645410,42665954,43049985,43298906,43548084,43555619,43586915,43681898,43752887,43773419,44003418,44199659,44406796,44835159,45270554,45327009,45344051,45373473,45449570,45642999,45919984,46238039,46472279,46901987,47256087,47484026,48025559,48984716,49089506,49650410,49669239,50468315,50574620,50613324,51009287,51174492,51189674,51273687,51526871,51659982,52304298,52716299,52968604,52993187,53065898,53274387,53397020,53552378,53904314,53960725,54539484,54775970,54817139,55622666,55668099,55750259,55962887,56303906,56657546,56954039,57079274,57656919,57709898,57771880,58726778,58737911,59043866,59219171,59580492,60283379,60532427,60561978,60689544,60827799,60890219,61016459,61412579,61855580,62060258,62290547,62349448,62764115,62970026,63142370,63438280,63443795,63590979,63922705,64076424,64527146,64672220,64752870,64993365,65192411,65730314,65731164,65963546,66039356,66158915,66388970,66398378,66451499,66613468,66735939,66757811,66802379,66836795,68275737,68726987,68932679,68971466,69069728,69079259,69326256,69375059,69476439,69544715,70143129,70329287,70896515,71127386,71368065,71427459,71811746,72085977,72115708,72564659,72870410,72986999,73005179,73209899,73923212,74183987,74226696,74765399,74925687,75084412,75313299,75316938,75447239,75770844,76125936,76132554,76534331,76707246,77086750,77231459,77431859,77606664,77633915,77703444,77756618,77790539,77941634,77992038,78228808,79126487,79390698,79648115,79666764,79683068,79774811,79913687,80204154,80254187,80260919,80391818,80985011,81071099,81141986,81541820,82299914,82741754,83435738,83453658,83503725,83505033,83666795,83906579,84310487,84335315,84348380,84475859,85040771,85075818,85423031,85641678,85940474,86078739,86310179,86338715,86893019,87166370,87307497,87444492,87712199,87862187,87916067,88007409,88337687,88806088,88970711,89070640,89122619,89639176,89680778,89957180,89973899,90680426,91318150,91397387,91847308,92287706,92298059,92504100,92767466,93160698,93381719,94319915,94348727,94960028,95055011,95190899,95431970,95577738,96179594,96299319,96734344,97038599,97850184,98181410,98473139,98667419,98671040,99297399,99906849,...,1039420067999022503401277376659010424057524420887366587353385741748734700436873611897998952241964535673063878990157341254211444998361190330893933279580672588713158183189124454922420909277171264799036229624940909364462423430552963498926930994622085259201580518742378831516067264259757589353513635454797792053135133888647713231153582883819645446276080033420252878897442117463207084679850757743872215997826882410736980940223712324072561666534945346031132827799766252286930795171734285403384041270754242796300257018897849827106971778600970962448190363030700680414504245060243229348009933551948368912042577231169081010590344468113290779070358118999759805565879009459678444002398225640489289567477622709706661945605030115745812043735611474473070207092176996091724351279707544889962235019545364100671774609407196842686853773765367394358329233343629099802346067537734081936021663932560061920086074634747832101492466454336684442676976947043518465322983881307652348694792981805409686877661554285485148583618408618893257127338835880930201673530296822402789793265032513474273609246216911716045134579732566995778823674816942539708858790368037776021078046283309014799725873479665410412603781820577880738675502530518150394694947447274951068084618307109158693206672287199237426259457596446007988381865650502754402265775351505387428658180298729609442721983096467693048633679087325344282693596807106397987606401664807104655809773651571478206007052441782464080267390930272915018099098217117202389071320137813539447563465586509097156447080850580806153272534541627416945561644610017028206309394067551218653138181533155071873316853544028501359383032925805782722611381178442394646009605676364615896803446314575437869236098736040956356695834746217832140347275849491965802046150122032338729957801310936775253501120998777551957380096651718997387481172102196343078157034839374690383579740212433203672553456129063100885369282816070812038402062548263183862408062616008426063856983578651430384208186315468036552570514478793399037698067932980629479253834053881430325811013662714635153949893717410331439072954898956019521687188186555302599566346974092877533879318202130103290094690359199535384650806188765734514756653073967395948828393829557841971999932477699835883133889459214415400116486582028950650584648640103626626261397775073470605774557522413535209747690519393887580874072362890716403443194151478193775616966977426587071746587300796404090671585019386586686642737631464496171000041958891904933125444809632976199034762968009076294245391578171216564428332838790470135597619788544463268045443740538353029284823706823615765818437214225070025250564798491012516289043218034518198466833514022042824443342084967140437082814890023999858534135453684414923945337208139005746186582564337194934379038740022648506453425034143384161985662605814705640408134603237233082898541698308422099717379522596860451204907278724756770858938802977868819987035405782809545358884976569164531630208482999257835049189023223923007935665494579537858591171249199462408939121032905251433186819143927007380413764900522123707433166659687561621143363170781005809650427434328691902036426737745825267045398989615106060545452244639476500984336035116022518354573919670198258147339436628024952982974612914535250226162826902979576590451064748811210032727983459852700826768107147582543014944293552650700625599976749338403739758879718930378135265000269399822322159435940230718109169816720078688955914226073961264819530353004190738134856958660289566680985219212545427770963842114541347910311550717156829367971757611792152942452838136782426279514641478822541339798099411384606518330256107542689637986378905419917494254158607880921117986394240534262768527420968075172174141287959425751498387332743443321116074696449438839130367441213609570991020560859628}
23750 301625155329427099766417386590337625223603148615177883380303485309836021504448: {71241,166201,237430,284916,332374,474820,569784,641007,735289,1375702,1445029,1728421,1870009,2795302,2889814,3000121,3362134,3563449,3704101,3739702,4546501,4966729,5590132,5665669,6502021,6563302,7032502,7856116,7876054,8183055,8531254,8728592,8857609,8998774,9372502,9819666,9932614,10233529,10644901,10682116,11237302,11602249,11795494,12147721,12556069,12690872,12692041,12937732,13306359,13370821,13823864,14047801,14277231,14318089,14855254,15502054,15551847,15773135,15933769,16332502,16336069,16871461,16873972,17005129,17405701,17713702,18071881,18556612,18832755,18927762,19001509,19091302,19641334,19757927,20042555,20088272,21287974,22031161,22291702,22533050,22599306,22945669,23466661,23742719,23856649,24051066,24202534,25209615,25381894,25539109,25917555,26363631,26890256,27039660,27081349,27645392,28040655,28103749,28225610,28500344,28543654,28842304,29121541,29173654,29248441,29910032,30251538,30521014,30749624,30891589,31101066,31238134,31385275,31864774,32062887,32272441,32447592,32477812,32522569,32669302,32772409,33115702,33472534,33648786,33870732,33918170,34119224,34593327,35008009,35290479,35378341,35871109,35994121,36140614,36343492,36503541,36608101,36741639,37203814,37464649,37662330,37911334,37952521,38384127,38439241,38560741,38639955,38682169,39096052,39288229,40051155,40115734,40173152,40179986,40322300,40555414,40701804,41095609,41215952,41841412,42012475,42172261,42529849,42721232,42747814,42922774,43361701,43418271,43480249,43485172,43717129,44232934,45194796,45249829,45365494,45887302,46099119,46186981,46367946,46408534,46653829,46842454,47189302,47622502,47709094,47815909,48061386,48386760,48394249,48487702,48740389,49212255,49533699,49696294,50213302,50414970,50550395,50689609,50889464,51073702,51612544,51665092,51939781,51945591,52332159,52493072,52505161,52618021,52730355,53103351,53181241,53303254,53775968,53854729,54190501,54377332,54435105,54555767,54840454,54860101,55356519,55508495,55692214,56066871,56245712,56522761,56633029,57004167,57183289,57250647,57399980,57402889,57475702,57731749,58059961,58064112,58407094,58496569,58660774,58671224,58714441,59054706,59583049,59767347,59780212,60436012,60472911,60497964,60660474,60857332,61189654,61230895,61777654,62267749,62532502,62586889,63008116,63218275,63266655,63276426,63883839,63968115,63998931,64172869,64948359,65322126,65522847,65534281,65538934,66005127,66054661,66210755,66225652,66262309,66287302,66610194,66746275,66986809,67484432,67605001,67810489,67905831,68174355,68220601,68232656,68364916,68450207,68527429,68879976,69037369,69185302,69739064,70253881,70914694,71032516,71159461,71226039,71653702,72214850,72391414,72655801,72719312,73150981,73209574,73249801,73477074,73634259,73699702,74224132,74475615,74625721,74821129,74841094,75329302,75816934,75861930,75919986,76180921,76761738,76784511,76875892,77239429,77319475,77489973,77526601,77705327,77908489,77936810,78434279,78456447,78488614,79297850,79440656,79452906,79455814,79598847,79800649,80095530,80328567,80749304,80840275,80856471,80919392,81103732,81386341,81703654,81809226,82103734,82163955,82401289,82549195,82583302,82768201,83042629,83225221,83266835,83301574,83433999,84043321,84257254,84455859,84585481,84642551,84787972,84972502,84986319,85435232,85618911,85751269,86337160,86373961,86564847,86657820,86816581,86873494,86904889,87426214,87608761,87641552,88090167,88383659,88565799,88981252,89002681,89370738,90144635,90413014,90842967,90882502,91034316,91397689,92131654,92365414,92404015,92435008,92635252,92687231,92783370,93090387,93156901,93299014,93524172,93653701,93855515,93997702,94455039,94557769,94713555,95157420,95236612,95290981,96018361,96114636,96419941,96580069,96790719,96819721,96899461,97008330,97129305,97394854,97786010,97932454,98086921,98595471,98596746,98945319,98968928,99059034,99567781,99583455,99597567,99603835,99645001,99722149,99900916,99920202,...,1559130101998533755101916064988515636086286631331049881030078612623102050655310417846998428362946803509595818485236011881317167497541785496340899919371008883069737274783686682383631363915756897198554344437411364046693635145829445248390396491933127888802370778113568247274100896389636384030270453182196688079702700832971569846730374325729468169414120050130379318346163176194810627019776136615808323996740323616105471410335568486108842499802418019046699241699649378430396192757601428105076061906131364194450385528346774740660457667901456443672285544546051020621756367590364844022014900327922553368063865846753621515885516702169936168605537178499639708348818514189517666003597338460733934351216434064559992918407545173618718065603417211709605310638265494137586526919561317334943352529318046151007661914110795264030280660648051091537493850015443649703519101306601122904032495898840092880129111952121748152238699681505026664015465420565277697984475821961478523042189472708114530316492331428227722875427612928339885691008253821395302510295445233604184689897548770211410413869325367574067701869598850493668235512225413809563288185552056664031617069424963522199588810219498115618905672730866821108013253795777225592042421170912426602126927460663738039810008430798856139389186394669011982572798475754131603398663027258081142987270448094414164082974644701539572950518630988016424040395210659596981409602497210656983714660477357217309010578662673696120401086395409372527148647325675803583606980206720309171345198379763645734670621275871209229908801812441125418342466915025542309464091101326827979707272299732607809975280316042752039074549388708674083917071767663591969014408514546923845205169471863156803854148104061434535043752119326748210520913774237948703069225183048508094936701966405162880251681498166327936070144977578496081221758153294514617235552259062035575369610318649805508830184193594651328053924224106218057603093822394775793612093924012639095785475367977145576312279473202054828855771718190098556547101899470944218880751080822145488716520494071952730924840576115497158609432348434029282530782279832953899349520461139316300818977303195154935142035538799303076976209283148601772134979610951093923242590744336762957999898716549753824700834188821623100174729873043425975876972960155439939392096662610205908661836283620302814621535779090831371311108544336074605164791227217290663425450466139880607619880951194606136007377529079880029964106447196744256500062938337857399688167214449464298552144452013614441368087367256824846642499258185705203396429682816694902068165610807529543927235560235423648727655821337605037875847197736518774433564827051777297700250271033064236665013127450710655624222335035999787801203180526622385918005812208508619279873846505792401568558110033972759680137551215076242978493908722058460612201904855849624347812547462633149576069283895290676807360918087135156288408204466803229980553108674214318038327464853746797445312724498886752573783534835884511903498241869306787886756873799193613408681549357877149780228715890511070620647350783185561149749989531342431715044756171508714475641151493037853054640106618737900568098484422659090818178366959214751476504052674033777531860879505297387221009154942037429474461919371802875339244240354469364885676597123216815049091975189779051240152160721373814522416440328976050938399965124007605609638319578395567202897500404099733483239153910346077163754725080118033433871339110941897229295529506286107202285437990434350021477828818818141656445763171812021865467326075735244051957636417688229413679257205173639419271962218233812009697149117076909777495384161314034456979568358129876241381237911821381676979591360801394152791131452112758261211931939138627247580999115164981674112044674158258695551161820414356486530841289442}
23751 302689802246323952497530715969473238910654978662381398007059267053917637770531: {94988,356145,379888,427374,498561,593525,712230,759712,854676,2063553,4192953,4334721,5043201,5609553,5858593,6987665,7637518,8385198,9820145,9844953,9914542,10483798,10548753,10910740,11104513,11784174,11814081,12095881,12796881,13092888,13352645,13498161,13809521,14058753,14729499,14898921,15863590,16023174,16172165,16855953,17279830,17577238,17693241,17741812,18485489,18775861,18925913,19036308,19353913,19406598,20617441,20735796,21092465,22282881,22336841,22765129,23195765,23253081,23528974,24189718,24498753,24937801,25110340,25237016,25310958,26171278,26570553,26905921,27434689,27816041,27834918,28391643,28561241,28636953,28947958,29368361,29462001,29854321,30132408,31561441,31774534,31931961,32068088,32118833,32413813,33437553,33482293,33612820,33799575,33898959,34020569,34556740,34633318,34891054,35151508,35569721,35625430,36052880,36063958,36076599,36303801,36320518,36379253,36907462,37381078,37387540,37660561,38072841,38437030,38704558,39787589,40318678,40335384,40487393,40559490,40577861,40597265,41231398,41468088,42338415,42592822,42643393,42649030,42750516,42815481,42977513,43263456,43760481,44528281,44848001,44865048,44912374,45160976,45377307,45429365,45526414,45598601,45781521,45931438,46124436,46241953,46391609,46651599,46857201,47053972,47685478,47797161,48128821,48671388,48716718,48870065,48923233,48988852,49003953,49093654,49214998,49476449,49673553,50208801,50216440,50402875,50473179,50806098,50877255,51178836,51337321,51519940,52301765,52563881,53070382,53401540,54210921,54269072,54356465,54515238,54864742,54885521,55429621,55805721,56493495,56662342,56867001,57891028,58644078,59048878,59050438,59703574,60173601,60186934,60245998,60259728,60269979,60483450,60833121,60895393,60996773,61021681,61052706,61465492,61823928,62309113,62762118,63289174,63611830,63629398,64081848,64121721,64384161,64515680,64581365,65227758,65616340,65735878,66044932,66349401,66906713,66958918,67219960,67653889,67792194,67971665,68048241,68830953,68977294,69260788,69292901,69404374,69510574,69551919,69612801,69776212,69986293,70263681,70307140,70655641,70783953,70804468,71034361,71433753,71563641,71749975,71817814,72092079,72165742,72511769,72580140,72731553,73339030,73616101,73808692,74544441,74725265,74755828,75314758,75319953,75545015,75569681,75622455,76005556,76071665,76334196,76610553,76686358,77366693,77418816,77497638,77956918,78739608,78760145,78825413,78863321,79689796,79954881,80267713,80402681,80630548,80663952,80880632,81448774,81565998,82260681,82266473,82748758,82782065,83538321,84059638,84355540,84368568,85178452,85290820,85331908,85456145,86099970,86213553,86317513,86597812,87096168,87111238,87173830,87363796,87505774,87546838,87610641,87869761,87923509,87991161,88006836,88399318,88582059,88790645,88813592,88821313,88908401,89491787,89670318,90497801,90541108,90654018,90688102,90746946,90899140,90990711,91285998,91784481,91839968,92476078,92622481,92666481,92780165,92885641,92944558,93513121,93571513,93798753,93803974,94512174,94914639,94968052,96051118,96094865,96547201,96951233,97362601,97764869,97969432,97983189,98179012,98308401,98403041,99255121,99300820,99338478,99430953,99607633,99915291,...,2338695152997800632652874097482773454129429946996574821545117918934653075982965626770497642544420205264393727727854017821975751246312678244511349879056513324604605912175530023575447045873635345797831516656117046070040452718744167872585594737899691833203556167170352370911151344584454576045405679773295032119554051249457354770095561488594202254121180075195568977519244764292215940529664204923712485995110485424158207115503352729163263749703627028570048862549474067645594289136402142157614092859197046291675578292520162110990686501852184665508428316819076530932634551385547266033022350491883830052095798770130432273828275053254904252908305767749459562523227771284276499005396007691100901526824651096839989377611317760428077098405125817564407965957398241206379790379341976002415028793977069226511492871166192896045420990972076637306240775023165474555278651959901684356048743848260139320193667928182622228358049522257539996023198130847916546976713732942217784563284209062171795474738497142341584313141419392509828536512380732092953765443167850406277034846323155317115620803988051361101552804398275740502353268338120714344932278328084996047425604137445283299383215329247173428358509096300231662019880693665838388063631756368639903190391190995607059715012646198284209083779592003517973859197713631197405097994540887121714480905672141621246124461967052309359425777946482024636060592815989395472114403745815985475571990716035825963515867994010544180601629593114058790722970988513705375410470310080463757017797569645468602005931913806813844863202718661688127513700372538313464196136651990241969560908449598911714962920474064128058611824083063011125875607651495387953521612771820385767807754207794735205781222156092151802565628178990122315781370661356923054603837774572762142405052949607744320377522247249491904105217466367744121832637229941771925853328388593053363054415477974708263245276290391976992080886336159327086404640733592163690418140886018958643678213051965718364468419209803082243283657577285147834820652849206416328321126621233218233074780741107929096387260864173245737914148522651043923796173419749430849024280691708974451228465954792732402713053308198954615464313924722902658202469416426640884863886116505144436999848074824630737051251283232434650262094809565138963815459440233159909088144993915308862992754425430454221932303668636247056966662816504111907747186840825935995138175699209820911429821426791909204011066293619820044946159670795116384750094407506786099532250821674196447828216678020421662052131050885237269963748887278557805094644524225042353102248416211294315890853340353135473091483732006407556813770796604778161650347240577665946550375406549596354997519691176065983436333502553999681701804770789933578877008718312762928919810769758688602352837165050959139520206326822614364467740863083087690918302857283774436521718821193949724364103925842936015211041377130702734432612306700204844970829663011321477057491197280620196167969086748330128860675302253826767855247362803960181830135310698790420113022324036815724670343073835766605930971026174778341724624984297013647572567134257263071713461727239556779581960159928106850852147726633988636227267550438822127214756079011050666297791319257946080831513732413056144211692879057704313008866360531704047328514895684825222573637962784668576860228241082060721783624660493464076407599947686011408414457479367593350804346250606149600224858730865519115745632087620177050150807008666412845843943294259429160803428156985651525032216743228227212484668644757718032798200989113602866077936454626532344120518885807760459128907943327350718014545723675615364666243076241971051685469352537194814362071856867732072515469387041202091229186697178169137391817897908707940871371498672747472511168067011237388043326742730621534729796261934163}
23752 303758182646325298368252373512343051584057159502328422192251450921024109000215: {118735,142482,261151,332402,474860,569832,641061,664748,949640,1068345,1139568,1282014,1470578,1964527,2106007,2751404,2890058,3456842,3516847,3740018,4500151,5590604,5779628,6000242,6724268,6873487,7126898,7408202,7479404,8259847,8950327,9093002,9776527,9933458,10051351,10737151,11180264,11331338,11456277,12577797,13004042,13055407,13126604,13638425,13733287,14065004,14871813,15083647,15712232,15725697,15752108,16366110,17062508,17457184,17676261,17715218,17997548,18560887,18745004,19639332,19865228,20149351,20467058,21289802,21364232,21465151,22082389,22177265,22381927,22474604,23034607,23204498,23425351,23590988,23795385,24034761,24075151,24295442,25111087,25112138,25381744,25384082,25875464,25919745,26365857,26612718,26656351,26741642,27647728,28059577,28095602,28554462,28636178,28827727,29109897,29589127,29710508,30474151,31004108,31103694,31387925,31481287,31546270,31569989,31867538,32665004,32672138,32983351,33232687,33742922,33747944,33854767,34010258,34598887,34811402,35293461,35427404,35833327,36143762,36284577,37113224,37665510,37855524,37915351,37966437,38003018,38182604,39256917,39282668,39515854,39976567,40085110,40176544,40939351,41299207,41538751,41752377,41778007,42016025,42136351,42494047,42575948,43088767,43195925,43421937,43939385,44062322,44272807,44583404,44862127,45066100,45198612,45891338,46269151,46502647,46734425,46933322,47485438,47661801,47713298,48102132,48405068,49970527,50313751,50419230,50763788,51078218,51453151,51835110,51949977,52336581,52727262,53438145,53710351,53780512,54079320,54095937,54162698,54480777,55162087,55290784,55361193,56071617,56081310,56160007,56207498,56451220,56711887,57000688,57087308,57371767,57591151,57655545,57684608,58056837,58243082,58347308,58465807,58496882,58817465,59820064,60093367,60478017,60503076,60524647,60839235,61042028,61236065,61499248,61597807,61783178,61847097,62202132,62238247,62476268,62770550,63729548,63828007,63889233,63973545,64125774,64399925,64544882,64895184,64955624,65045138,65338604,65544818,65818447,65922487,66231404,66751925,66945068,67297572,67368561,67741464,67836340,68238448,68289621,68500087,68897157,69186654,70016018,70580958,70731151,70756682,70770553,71433727,71528217,71742218,71988242,72281228,72363785,72686984,72927367,73007082,73075077,73216202,73483278,73640481,73822497,74208751,74407628,74929298,75186151,75324660,75477967,75822668,75866047,75905042,76209147,76349527,76768254,76831207,76831865,76878482,77121482,77279910,77364338,77598151,77711893,78192104,78576458,78834607,79023751,79212607,79605573,80102310,80231468,80346304,80359972,80433151,80644600,81110828,81403608,81772857,82020425,82191218,82287151,82297113,82431904,82556165,83385727,83476807,83682824,84024950,84344522,84383647,84744367,84993513,85059698,85442464,85495628,85723253,85845548,85908751,86086807,86530687,86575985,86723402,86836542,86960498,86970344,87220265,87434258,87883925,87966117,88465868,88505585,88573317,88575657,89156167,89242567,89555361,89845351,90273751,90280401,90368997,90389592,90499658,90725175,90730988,90870487,91579059,91774604,92198238,92260865,92373962,92695057,92735892,92817068,93307658,93444785,93684908,93801247,93883687,94048351,94143177,94294807,94378604,94458751,94867351,94933761,95006945,95245004,95417745,95418188,95444097,95631818,96122772,96773520,96788498,96883351,96975404,97480778,97841637,97913887,98424510,98463751,98603817,98854351,99067398,99087847,99392588,99612245,99630151,...,3118260203997067510203832129977031272172573262662099762060157225246204101310620835693996856725893607019191636970472023762634334995083570992681799838742017766139474549567373364767262727831513794397108688874822728093387270291658890496780792983866255777604741556227136494548201792779272768060540906364393376159405401665943139693460748651458936338828240100260758636692326352389621254039552273231616647993480647232210942820671136972217684999604836038093398483399298756860792385515202856210152123812262728388900771056693549481320915335802912887344571089092102041243512735180729688044029800655845106736127731693507243031771033404339872337211074356999279416697637028379035332007194676921467868702432868129119985836815090347237436131206834423419210621276530988275173053839122634669886705058636092302015323828221590528060561321296102183074987700030887299407038202613202245808064991797680185760258223904243496304477399363010053328030930841130555395968951643922957046084378945416229060632984662856455445750855225856679771382016507642790605020590890467208369379795097540422820827738650735148135403739197700987336471024450827619126576371104113328063234138849927044399177620438996231237811345461733642216026507591554451184084842341824853204253854921327476079620016861597712278778372789338023965145596951508263206797326054516162285974540896188828328165949289403079145901037261976032848080790421319193962819204994421313967429320954714434618021157325347392240802172790818745054297294651351607167213960413440618342690396759527291469341242551742418459817603624882250836684933830051084618928182202653655959414544599465215619950560632085504078149098777417348167834143535327183938028817029093847690410338943726313607708296208122869070087504238653496421041827548475897406138450366097016189873403932810325760503362996332655872140289955156992162443516306589029234471104518124071150739220637299611017660368387189302656107848448212436115206187644789551587224187848025278191570950735954291152624558946404109657711543436380197113094203798941888437761502161644290977433040988143905461849681152230994317218864696868058565061564559665907798699040922278632601637954606390309870284071077598606153952418566297203544269959221902187846485181488673525915999797433099507649401668377643246200349459746086851951753945920310879878784193325220411817323672567240605629243071558181662742622217088672149210329582454434581326850900932279761215239761902389212272014755058159760059928212894393488513000125876675714799376334428898928597104288904027228882736174734513649693284998516371410406792859365633389804136331221615059087854471120470847297455311642675210075751694395473037548867129654103554595400500542066128473330026254901421311248444670071999575602406361053244771836011624417017238559747693011584803137116220067945519360275102430152485956987817444116921224403809711699248695625094925266299152138567790581353614721836174270312576816408933606459961106217348428636076654929707493594890625448997773505147567069671769023806996483738613575773513747598387226817363098715754299560457431781022141241294701566371122299499979062684863430089512343017428951282302986075706109280213237475801136196968845318181636356733918429502953008105348067555063721759010594774442018309884074858948923838743605750678488480708938729771353194246433630098183950379558102480304321442747629044832880657952101876799930248015211219276639156791134405795000808199466966478307820692154327509450160236066867742678221883794458591059012572214404570875980868700042955657637636283312891526343624043730934652151470488103915272835376458827358514410347278838543924436467624019394298234153819554990768322628068913959136716259752482762475823642763353959182721602788305582262904225516522423863878277254495161998230329963348224089348316517391102323640828712973061682578884}
23753 304830309536839581569555896036627973912757316232496176880057917447815962222384: {23753,189976,213723,498603,593575,712290,759776,830935,854748,997122,1187050,1424460,1519424,1709352,1923021,2205867,3439255,4127106,4335087,5185263,5610027,6000907,6854791,6988255,7224535,8385906,8405335,8669442,9000363,9349255,9782731,10086402,10690347,11112303,11219106,11717186,13639503,13748203,13810687,13975330,14900187,15275036,16320343,16408255,16770396,16997007,17581255,18487051,18693703,18927511,19006207,19506063,19640290,19689906,19690135,19829084,20563147,20967596,21097506,21152491,21328135,21821480,21846487,22209026,22338727,22496935,22641031,23426443,23431255,23568348,23628162,23748031,24191762,24549165,24831535,25416151,25593762,26185776,26572827,26705290,26958991,26996322,27619042,28093255,28117506,28335967,28862263,29365783,29370847,29458998,29488735,29529451,29797842,30700587,31727180,31921387,31934703,32046348,32121547,32271751,32344330,32474071,32873503,33207607,33711906,34559660,34708063,34806747,35154476,35386482,35483624,36088987,36382327,36443163,36464683,36970978,37138135,37551722,37668207,37851826,38072616,38076123,38668927,38707826,38755135,38813196,38888167,39790951,39919077,40112463,40206127,40831255,41160391,41234882,41381383,41471592,41728447,41859847,42036943,42143403,42184930,42831693,42954267,42981151,43279627,43780831,44284255,44565762,44673682,45351727,45379783,45530258,46391530,46395547,46403143,46506162,46655541,46909951,47057948,47319405,47728255,47801307,47822923,48033691,48379436,48997506,49008207,49103335,49875602,49994527,50220680,50474032,50614383,50621916,50971831,51015387,52217103,52342556,52725223,53002183,53141106,53219935,53811842,54215643,54615451,54826447,54869378,54890167,54962071,55632082,55669836,55729255,55972363,56332625,56498265,56783286,56836171,57004527,57122482,57273906,57895916,58136203,58472167,58736722,58747867,58924002,59273781,59708642,60127665,60253567,60264816,60506335,63122882,63454735,63549068,63601111,63863922,64136176,64237666,64827626,65203447,66093483,66462751,66875106,66964586,67225640,67599150,67797918,68041138,68418091,68837007,68944363,69113480,69191767,69266636,69298783,69456607,69782108,70303016,70399983,70564025,71103787,71139442,71228157,71250860,71359135,71569947,71683951,72105760,72127916,72153198,72576943,72607602,72641036,72758506,72934135,73027867,73222471,73814924,74341543,74762156,74775080,74778091,75321122,75628845,76099051,76145682,76302535,76547287,76617327,76874060,77409116,77445007,77752665,77803711,78095335,78832111,79090893,79575178,79625671,79661935,80157451,80409487,80637356,80670768,80812087,80974786,81084823,81118980,81155722,81194530,81244047,81673255,82462796,82702327,82789255,82936176,83681335,83920783,84121965,84311247,84324763,84676830,84795425,85055167,85185644,85286786,85298060,85501032,85630962,85695727,85955026,86200327,86526912,87364623,87520962,87727051,87745323,88098991,88352683,88915927,89056562,89309623,89629807,89696002,89730096,89824748,90321952,90351535,90413911,90505483,90721231,90754614,90858730,91052828,91197202,91412863,91563042,91862876,92153323,92248872,92483906,92674767,92783218,93009535,93303198,93397531,93468031,93714402,93733303,94107944,94155825,94778335,95160331,95370956,95468311,95594322,95883007,96188661,96257642,96817323,97342776,97433436,97567707,97740130,97846466,97977704,98007906,98034487,98187308,98317227,98429996,98684143,98952898,98956747,99347106,99700807,...,4677390305995601265305748194965546908258859893993149643090235837869306151965931253540995285088840410528787455455708035643951502492625356489022699758113026649209211824351060047150894091747270691595663033312234092140080905437488335745171189475799383666407112334340704741822302689168909152090811359546590064239108102498914709540191122977188404508242360150391137955038489528584431881059328409847424971990220970848316414231006705458326527499407254057140097725098948135291188578272804284315228185718394092583351156585040324221981373003704369331016856633638153061865269102771094532066044700983767660104191597540260864547656550106509808505816611535498919125046455542568552998010792015382201803053649302193679978755222635520856154196810251635128815931914796482412759580758683952004830057587954138453022985742332385792090841981944153274612481550046330949110557303919803368712097487696520278640387335856365244456716099044515079992046396261695833093953427465884435569126568418124343590949476994284683168626282838785019657073024761464185907530886335700812554069692646310634231241607976102722203105608796551481004706536676241428689864556656169992094851208274890566598766430658494346856717018192600463324039761387331676776127263512737279806380782381991214119430025292396568418167559184007035947718395427262394810195989081774243428961811344283242492248923934104618718851555892964049272121185631978790944228807491631970951143981432071651927031735988021088361203259186228117581445941977027410750820940620160927514035595139290937204011863827613627689726405437323376255027400745076626928392273303980483939121816899197823429925840948128256117223648166126022251751215302990775907043225543640771535615508415589470411562444312184303605131256357980244631562741322713846109207675549145524284810105899215488640755044494498983808210434932735488243665274459883543851706656777186106726108830955949416526490552580783953984161772672318654172809281467184327380836281772037917287356426103931436728936838419606164486567315154570295669641305698412832656642253242466436466149561482215858192774521728346491475828297045302087847592346839498861698048561383417948902456931909585464805426106616397909230928627849445805316404938832853281769727772233010288873999696149649261474102502566464869300524189619130277927630918880466319818176289987830617725985508850860908443864607337272494113933325633008223815494373681651871990276351398419641822859642853583818408022132587239640089892319341590232769500188815013572199064501643348392895656433356040843324104262101770474539927497774557115610189289048450084706204496832422588631781706680706270946182967464012815113627541593209556323300694481155331893100750813099192709995039382352131966872667005107999363403609541579867157754017436625525857839621539517377204705674330101918279040412653645228728935481726166175381836605714567548873043437642387899448728207851685872030422082754261405468865224613400409689941659326022642954114982394561240392335938173496660257721350604507653535710494725607920363660270621397580840226044648073631449340686147671533211861942052349556683449249968594027295145134268514526143426923454479113559163920319856213701704295453267977272454535100877644254429512158022101332595582638515892161663027464826112288423385758115408626017732721063408094657029791369650445147275925569337153720456482164121443567249320986928152815199895372022816828914958735186701608692501212299200449717461731038231491264175240354100301614017332825691687886588518858321606856313971303050064433486456454424969337289515436065596401978227205732155872909253064688241037771615520918257815886654701436029091447351230729332486152483942103370938705074389628724143713735464145030938774082404182458373394356338274783635795817415881742742997345494945022336134022474776086653485461243069459592523868326}
23754 305906195970298088995182898126015315822966638380135478566205408362352424661233: {166229,237470,261173,284964,308633,522302,664804,949720,1068435,1139664,1282122,1329496,1495683,1587029,1780575,1899280,1964693,2136690,2279136,2564028,2941156,3000629,3094613,3564053,3929054,4079513,4212014,4500533,4547273,4640729,5247413,5502808,5780116,6038729,6190659,6595913,6913684,7033694,7198229,7480036,7891529,8951093,9000302,9272729,9823193,10097993,10326773,10646729,10738073,10783733,11181208,11559256,11695253,12000484,12578859,12920729,13004163,13448536,13599029,13746974,14253796,14816404,14958808,15129603,15533513,15757493,15936533,16160153,16519694,16740629,16828659,16874393,17097173,17275253,17497673,17575779,17900654,18186004,18606773,19093795,19534553,19553054,19866916,20063129,20102702,20195093,20962995,21379529,21474302,21598229,22035029,22122293,22253129,22360528,22662676,22912554,23036633,23470793,24120533,24786355,24984053,25155594,25285529,26008084,26110814,26209495,26253208,26658713,26787029,27276850,27342233,27466574,27555413,28130008,29211353,29338229,29460435,29534859,29633993,29743626,30167294,30729113,31048171,31424464,31451394,31504216,31646259,32278229,32361653,32732220,32778293,32986313,33027893,33313539,34125016,34914368,35096693,35352522,35384729,35430436,35442243,35466953,35590229,35877593,35995096,36287643,36737333,37121774,37309987,37490008,37959413,38324633,38390643,39053129,39278664,39658975,39730456,39738773,40057935,40298702,40494483,40742873,40934116,40983113,41428563,41781833,42176259,42179993,42537653,42579604,42728464,42930302,43199575,43251029,43448729,43567253,43843529,43943095,44040629,44164778,44188497,44354530,44552153,44696763,44763854,44949208,45101513,46069214,46195529,46273433,46312373,46408996,46506953,46850702,47181976,47590770,48069522,48133529,48150302,48403253,48516495,48590884,48711029,48826313,49095029,50222174,50224276,50242229,50432729,50567859,50699093,50763488,50768164,50813129,51750928,51839490,51949529,52025033,52703129,52731714,53079723,53225436,53312702,53483284,53939573,54833333,55295456,55456467,55611593,55870229,56119154,56191204,56327583,56607029,56717273,56777739,57108924,57272356,57413813,57596633,57655454,57815753,58061739,58219794,58507733,58822435,59178254,59269193,59421016,59594453,59702729,60422729,60474295,60948302,61515139,61852323,62008216,62207388,62279753,62457173,62669813,62775850,62917529,62962574,63092540,63139978,63277395,63341273,63735076,65330008,65344276,65428195,65616533,65824853,65966702,66136793,66465374,66848643,66999893,67010523,67485844,67495888,67709534,67721033,67892213,68020516,68233973,68295387,68302229,68540873,69197774,69322229,69423833,69587295,69622804,69759243,70166729,70335029,70586922,70854808,71666654,72073493,72239513,72287524,72369895,72438473,72569154,72670229,73066613,73165529,73496259,74052533,74226448,74738393,74813403,75193673,75331020,75711048,75712073,75830702,75932874,76006036,76365208,76838933,77605973,78513834,78565336,79031708,79031753,79063253,79436335,79440629,79711659,79910729,79953134,80160713,80170220,80353088,80472473,80717763,81464729,81773129,81878702,82142153,82295573,82304067,82344451,82598414,82937753,83077502,83211893,83394293,83448123,83504754,83556014,83606729,84032050,84060629,84211529,84272702,84602933,84753113,84988094,85151896,85174929,85471193,85683723,85730491,85910859,86177534,86362313,86391850,86583295,86843874,86893529,86981813,87227635,87334229,87878770,87977333,88064729,88105083,88124644,88386003,88545614,89063575,89165513,89166808,89562963,89596853,89724254,89883413,90132200,90159895,90397224,90801295,91782676,92268655,92538302,93005294,93093653,93176729,93315029,93452695,93468850,93866644,93921173,94085813,94684323,94970876,95323602,95426596,95795883,96039029,96092575,96092693,96204264,96356499,96761395,96810136,96893813,96920393,96973529,97241439,97291673,97450313,97766729,97845653,98943029,99279833,99641033,99666773,99941054,...,7016085458993401897958622292448320362388289840989724464635353756803959227948896880311492927633260615793181183183562053465927253738938034733534049637169539973813817736526590070726341137620906037393494549968351138210121358156232503617756784213699075499610668501511057112733454033753363728136217039319885096358662153748372064310286684465782606762363540225586706932557734292876647821588992614771137457985331456272474621346510058187489791249110881085710146587648422202936782867409206426472842278577591138875026734877560486332972059505556553996525284950457229592797903654156641798099067051475651490156287396310391296821484825159764712758724917303248378687569683313852829497016188023073302704580473953290519968132833953281284231295215377452693223897872194723619139371138025928007245086381931207679534478613498578688136262972916229911918722325069496423665835955879705053068146231544780417960581003784547866685074148566772619988069594392543749640930141198826653353689852627186515386424215491427024752939424258177529485609537142196278861296329503551218831104538969465951346862411964154083304658413194827221507059805014362143034796834984254988142276812412335849898149645987741520285075527288900694986059642080997515164190895269105919709571173572986821179145037938594852627251338776010553921577593140893592215293983622661365143442717016424863738373385901156928078277333839446073908181778447968186416343211237447956426715972148107477890547603982031632541804888779342176372168912965541116126231410930241391271053392708936405806017795741420441534589608155985064382541101117614940392588409955970725908682725348796735144888761422192384175835472249189033377626822954486163860564838315461157303423262623384205617343666468276455407696884536970366947344111984070769163811513323718286427215158848823232961132566741748475712315652399103232365497911689825315777559985165779160089163246433924124789735828871175930976242659008477981259213922200776491071254422658056875931034639155897155093405257629409246729850972731855443504461958547619248984963379863699654699224342223323787289161782592519737213742445567953131771388520259248292547072842075126923353685397864378197208139159924596863846392941774168707974607408249279922654591658349515433310999544224473892211153753849697303950786284428695416891446378320699479727264434981745926588978263276291362665796911005908741170899988449512335723241560522477807985414527097629462734289464280375727612033198880859460134838479012385349154250283222520358298596752465022589343484650034061264986156393152655711809891246661835673415283933572675127059306745248633882947672560021059406419274451196019222670441312389814334484951041721732997839651126219648789064992559073528197950309000507661999045105414312369800736631026154938288786759432309276065807058511495152877418560618980467843093403222589249263072754908571851323309565156463581849173092311777528808045633124131392108203297836920100614534912488989033964431172473591841860588503907260244990386582025906761480303565742088411880545490405932096371260339066972110447174011029221507299817792913078524335025173874952891040942717701402771789215140385181718670338745880479784320552556443179901965908681802651316466381644268237033151998893373957773838242494541197239168432635078637173112939026599081595112141985544687054475667720913888354005730580684723246182165350873981480392229222799843058034225243372438102780052413038751818448800674576192596557347236896262860531150452421025999238537531829882778287482410284470956954575096650229684681637454005934273154098394602967340808598233809363879597032361556657423281377386723829982052154043637171026846093998729228725913155056408057611584443086215570603196217546408161123606273687560091534507412175453693726123822614114496018242417533504201033712164129980228191864604189388785802489}
23755 306985855044309774227597556948735491011975976959950878272086057603657652523376: {47506,356205,379952,427446,783453,831005,997206,1163309,1187150,1424580,1519552,1661870,1709496,1923183,1994244,2374100,2848920,3038848,3205035,3418704,3676445,3846042,4411734,4814957,5893581,6318021,6878510,7091981,7225145,7661237,8254212,8642105,8670174,9350045,9783557,10114349,10370526,10550541,11220054,11767469,12001814,13088957,13500453,13709582,13976510,14449070,15000605,16321721,16771812,16810670,17338884,17449949,17817245,18000726,18520505,18698510,19007813,19565462,20172804,20620461,21154277,21380694,21848333,22224606,22438212,22461881,22732505,22971557,23428421,23434372,24301901,24553049,24613757,24779541,24833645,25418297,26541917,26850981,26961269,27168989,27279006,27496406,27566189,27621374,27950660,28328345,29329581,29800374,29859389,30130637,30154053,30550072,31495709,32211453,32510105,32640686,32803757,32816510,32820581,33210413,33487961,33540792,33994014,34368831,34497389,34711001,34764149,35162510,35918009,36974102,37387406,37733391,37855022,38012414,38891453,39012126,39166221,39187973,39280580,39330557,39379812,39380270,39658168,40915275,41126294,41163869,41199861,41284229,41731973,41935192,42195012,42280733,42304982,42650621,42656270,43642960,43692974,43763981,43784537,44288045,44418052,44615439,44677454,44746733,44993870,45250941,45282062,45699641,46249781,46852886,46862510,46913933,47136696,47177091,47256324,47496062,48037757,48383524,48931517,49098330,49663070,50718581,50832302,51167645,51187524,51993389,52371552,53028783,53145654,53224505,53410580,53917982,53992644,54257189,54831101,55238084,55439033,55682661,55764437,55977101,56186510,56235012,56671934,56968517,57163757,57724526,58011245,58731566,58741694,58917996,58977470,59058902,59084441,59222861,59595684,60448053,60738605,61401174,61428197,61997957,62780345,62937689,63454360,63460205,63842774,63869406,64092696,64243094,64395453,64543502,64545533,64688660,64948142,65747006,66247167,66415214,66468377,66531795,66819557,66854105,67145781,67423812,68744669,69103821,69119320,69416126,69613494,69973013,70239005,70276053,70308952,70561901,70772964,70967248,71046389,71208761,71386155,71590445,72104283,72177974,72225453,72484889,72764654,72886326,72929366,73941956,73963613,74276270,74507909,75103444,75333261,75336414,75426821,75703652,76145232,76152246,77337854,77415652,77451581,77510270,77626392,77759235,77776334,77810297,78020957,78865675,79097571,79581902,79632437,79668845,79838154,79969053,80117357,80224926,80281301,80412254,80672933,81662510,81680345,81896813,82085081,82320782,82469764,82762766,82943184,83456894,83719694,84073886,84178731,84286806,84331901,84357305,84369860,84708869,85025645,85663386,85908534,85962302,86305661,86483181,86559254,86915117,87028505,87329691,87561662,87734477,87938393,88106477,88568510,88767381,88836629,88993397,89131524,89347364,90359405,90405221,90703454,90759566,91060516,91420601,91422453,91520537,92783060,92791094,92806286,93012324,93311082,93405437,93819902,94115896,94163775,94443861,94638810,94709967,94731533,95007545,95215097,95456510,95602614,95645846,95811173,95891213,96067382,96267209,96563549,96758872,97995012,98016414,98206670,98789635,98909501,98950053,99698061,99751204,99902789,99989054,...,9354780611991202530611496389931093816517719787986299286180471675738612303931862507081990570177680821057574910911416071287903004985250712978045399516226053298418423648702120094301788183494541383191326066624468184280161810874976671490342378951598767332814224668681409483644605378337818304181622719093180128478216204997829419080382245954376809016484720300782275910076979057168863762118656819694849943980441941696632828462013410916653054998814508114280195450197896270582377156545608568630456371436788185166702313170080648443962746007408738662033713267276306123730538205542189064132089401967535320208383195080521729095313100213019617011633223070997838250092911085137105996021584030764403606107298604387359957510445271041712308393620503270257631863829592964825519161517367904009660115175908276906045971484664771584181683963888306549224963100092661898221114607839606737424194975393040557280774671712730488913432198089030159984092792523391666187906854931768871138253136836248687181898953988569366337252565677570039314146049522928371815061772671401625108139385292621268462483215952205444406211217593102962009413073352482857379729113312339984189702416549781133197532861316988693713434036385200926648079522774663353552254527025474559612761564763982428238860050584793136836335118368014071895436790854524789620391978163548486857923622688566484984497847868209237437703111785928098544242371263957581888457614983263941902287962864143303854063471976042176722406518372456235162891883954054821501641881240321855028071190278581874408023727655227255379452810874646752510054801490153253856784546607960967878243633798395646859851681896256512234447296332252044503502430605981551814086451087281543071231016831178940823124888624368607210262512715960489263125482645427692218415351098291048569620211798430977281510088988997967616420869865470976487330548919767087703413313554372213452217661911898833052981105161567907968323545344637308345618562934368654761672563544075834574712852207862873457873676839212328973134630309140591339282611396825665313284506484932872932299122964431716385549043456692982951656594090604175695184693678997723396097122766835897804913863819170929610852213232795818461857255698891610632809877665706563539455544466020577747999392299298522948205005132929738601048379238260555855261837760932639636352579975661235451971017701721816887729214674544988227866651266016447630988747363303743980552702796839283645719285707167636816044265174479280179784638683180465539000377630027144398129003286696785791312866712081686648208524203540949079854995549114231220378578096900169412408993664845177263563413361412541892365934928025630227255083186419112646601388962310663786201501626198385419990078764704263933745334010215998726807219083159734315508034873251051715679243079034754409411348660203836558080825307290457457870963452332350763673211429135097746086875284775798897456415703371744060844165508522810937730449226800819379883318652045285908229964789122480784671876346993320515442701209015307071420989451215840727320541242795161680452089296147262898681372295343066423723884104699113366898499937188054590290268537029052286853846908958227118327840639712427403408590906535954544909070201755288508859024316044202665191165277031784323326054929652224576846771516230817252035465442126816189314059582739300890294551851138674307440912964328242887134498641973856305630399790744045633657829917470373403217385002424598400899434923462076462982528350480708200603228034665651383375773177037716643213712627942606100128866972912908849938674579030872131192803956454411464311745818506129376482075543231041836515631773309402872058182894702461458664972304967884206741877410148779257448287427470928290061877548164808364916746788712676549567271591634831763485485994690989890044672268044949552173306970922486138919185047736652}
23756 308069299901816610461641576039521061657163702142315296218310463789140982314326: {71259,308659,332458,474940,522346,569928,617266,641169,877603,1044604,1329608,1495809,1587163,1780725,1870483,1899440,2136870,2279328,2492805,2564244,2658992,2967625,2991366,3000883,3174058,3561150,3705043,3798560,3845659,3929386,4273380,4547659,4558272,4687843,5128056,5769063,5882312,6001258,6189226,6617601,6642859,7128106,7858108,8159026,8424028,9001066,9094546,9281458,10317765,10494826,10784659,11005616,11332003,11560232,12077458,12381318,12695323,13005261,13191826,13827368,14067388,14186659,14396458,14960072,15555789,15783058,16742083,16830081,17009563,17902186,18000604,18002721,18545458,19646386,20195986,20564373,20653546,20964765,21293458,21476146,21567466,21673605,22362416,23118512,23390506,23602963,24000968,24641203,25157718,25216005,25287763,25841458,26008326,26731313,26897072,27001089,27198058,27344659,27493948,28047765,28507592,29256259,29292965,29348193,29632808,29917616,30259206,31067026,31514986,31873066,32071041,32320306,32406259,33030859,33039388,33336909,33481258,33657318,33748786,34194346,34550506,34700897,34770163,34938325,34995346,35151558,35387923,35634523,35801308,36003883,36372008,36693293,36740659,37213546,37352659,38187590,38571259,38692723,39069106,39106108,39733832,40126258,40205404,40390186,40918509,41244609,41432061,41925990,42759058,42948604,43196458,43492243,43847563,44070058,44084083,44093621,44244586,44506258,44700561,44721056,45144859,45325352,45825108,46073266,46316659,46941586,47016283,48176563,48241066,48754003,48961029,49100725,49224765,49572710,49968106,50311188,50571058,50817883,50991021,51954403,52016168,52221628,52418990,52506416,52632859,52743765,53317426,53574058,54553700,54684466,54875659,54933148,55110826,55320763,55461153,55522565,56081109,56260016,56649163,56782533,57018621,58422706,58518189,58622323,58676458,58920870,59069718,59070405,59267986,59487252,59708443,60334588,60479405,61458226,61520333,61689441,62096342,62848928,62902788,62923603,63008432,63135643,63292518,63457473,63984405,64556458,64723306,65135659,65464440,65539461,65556586,65972626,66055786,66627078,66763225,67016181,67490805,67727659,67923093,68250032,69047605,69768859,69828736,70193386,70279329,70293765,70375603,70705044,70769458,70860872,70884486,70933906,71180458,71244093,71755186,71990192,72279859,72575286,72677443,72776659,73271659,73474666,73647495,74243548,74354323,74494605,74619974,74648083,74745859,74980016,75719659,75918826,76248453,76649266,76781286,77262763,78106258,78122659,78557328,79071259,79317950,79460912,79477546,79718481,79918843,80115870,80597404,80860825,80876973,80988966,81411259,81485746,81503923,81868232,81966226,82351409,82857126,83250859,83563666,84069283,84250363,84279765,84352518,84359986,84664013,85007901,85075306,85159208,85456928,85509859,85860604,85867123,86399150,86400859,86502058,86586789,86755243,86897458,86932003,87134506,87372643,87687058,87886190,88081258,88097349,88112541,88329556,88376994,88466205,88588353,88709060,89104306,89393526,89527708,89898416,90203026,90747859,91599473,92101761,92138428,92391058,92427445,92546866,92624746,92817992,93013906,93352603,93701404,93766243,93879305,94363952,94629565,94833283,95181540,95402803,95764161,95804109,96139044,96267058,96300604,96364641,96769565,96806506,96815253,96930859,97032990,97181768,97422058,97422213,97652626,98118859,98190058,98620509,99622821,99677659,99754843,...,14032170917986803795917244584896640724776579681979448929270707513607918455897793760622985855266521231586362366367124106931854507477876069467068099274339079947627635473053180141452682275241812074786989099936702276420242716312465007235513568427398150999221337003022114225466908067506727456272434078639770192717324307496744128620573368931565213524727080451173413865115468585753295643177985229542274915970662912544949242693020116374979582498221762171420293175296844405873565734818412852945684557155182277750053469755120972665944119011113107993050569900914459185595807308313283596198134102951302980312574792620782593642969650319529425517449834606496757375139366627705658994032376046146605409160947906581039936265667906562568462590430754905386447795744389447238278742276051856014490172763862415359068957226997157376272525945832459823837444650138992847331671911759410106136292463089560835921162007569095733370148297133545239976139188785087499281860282397653306707379705254373030772848430982854049505878848516355058971219074284392557722592659007102437662209077938931902693724823928308166609316826389654443014119610028724286069593669968509976284553624824671699796299291975483040570151054577801389972119284161995030328381790538211839419142347145973642358290075877189705254502677552021107843155186281787184430587967245322730286885434032849727476746771802313856156554667678892147816363556895936372832686422474895912853431944296214955781095207964063265083609777558684352744337825931082232252462821860482782542106785417872811612035591482840883069179216311970128765082202235229880785176819911941451817365450697593470289777522844384768351670944498378066755253645908972327721129676630922314606846525246768411234687332936552910815393769073940733894688223968141538327623026647436572854430317697646465922265133483496951424631304798206464730995823379650631555119970331558320178326492867848249579471657742351861952485318016955962518427844401552982142508845316113751862069278311794310186810515258818493459701945463710887008923917095238497969926759727399309398448684446647574578323565185039474427484891135906263542777040518496585094145684150253846707370795728756394416278319849193727692785883548337415949214816498559845309183316699030866621999088448947784422307507699394607901572568857390833782892756641398959454528869963491853177956526552582725331593822011817482341799976899024671446483121044955615970829054195258925468578928560751455224066397761718920269676958024770698308500566445040716597193504930045178686969300068122529972312786305311423619782493323671346830567867145350254118613490497267765895345120042118812838548902392038445340882624779628668969902083443465995679302252439297578129985118147056395900618001015323998090210828624739601473262052309876577573518864618552131614117022990305754837121237960935686186806445178498526145509817143702646619130312927163698346184623555057616091266248262784216406595673840201229069824977978067928862344947183683721177007814520489980773164051813522960607131484176823761090980811864192742520678133944220894348022058443014599635585826157048670050347749905782081885435402805543578430280770363437340677491760959568641105112886359803931817363605302632932763288536474066303997786747915547676484989082394478336865270157274346225878053198163190224283971089374108951335441827776708011461161369446492364330701747962960784458445599686116068450486744876205560104826077503636897601349152385193114694473792525721062300904842051998477075063659765556574964820568941913909150193300459369363274908011868546308196789205934681617196467618727759194064723113314846562754773447659964104308087274342053692187997458457451826310112816115223168886172431141206392435092816322247212547375120183069014824350907387452247645228228992036484835067008402067424328259960456383729208378777571604978}
23757 309156543731249474161158908693406029291122336581415302519860605818401344807637: {95012,498687,593675,712410,759904,783519,854892,925899,1163407,1305755,1566906,1662010,1994412,2326618,2374300,2849160,3039104,3205305,3323740,3418992,3846366,3988488,4487049,4748200,4761087,5147023,5341725,5697840,5894079,6077696,6410070,6837408,7352890,7692084,8562559,8823468,9001887,9283839,9629914,9822635,10115203,10530035,10692159,11787162,12098947,12238539,12636042,13090063,13501599,13641819,13757020,13922187,14183962,14450290,15322474,15372863,15742239,16508424,17284210,17340348,17584235,18116187,18571977,18700090,19567114,19787739,20228698,20622667,20741052,21000847,21101082,21341987,21594687,21604319,22440108,22463779,22500755,23534938,23674587,24003628,24944143,25605647,25928707,26177914,26853279,27000906,27171283,27419164,27441643,27818187,27953020,28163843,28568483,28898140,29375819,29469579,30001210,30133183,30293979,30980319,31825507,31940187,32214219,32351199,32643442,33543624,33621340,34367435,34677768,34767103,34899898,35085759,35578763,35634490,36001452,37041010,37397020,37670107,37736577,38015626,38641679,38762187,39012489,39130924,39659683,40345608,40497659,40797087,41240922,41299235,42308554,42761388,42988427,43696666,43767679,44449212,44751635,44876424,44923762,45387467,45388809,45465010,45514147,45610163,45943114,46313059,46403423,46600539,46856842,46868744,47272479,47809599,48480459,48603802,48882635,48935659,49106098,49227514,49559082,49667290,49968139,50221887,50256755,50485977,50623179,50836594,51030683,51291519,51419699,51825759,52271567,52493019,52577243,52727337,53083834,53685755,53701962,53922538,54337978,54558012,54899459,54971387,54992812,55132378,55242748,55443739,55820319,55901320,56656690,57281385,58146047,58603659,58659162,59600748,59718778,60189387,60261274,60308106,60585279,61100144,62003263,62324959,62888985,62991418,64138587,64422906,64794687,65020210,65277035,65281372,65607514,65633020,65641162,66105087,66366879,66420826,66759387,66975922,67081584,67988028,68192125,68666435,68737662,68994778,69109899,69203483,69310547,69422002,69528298,70325020,70342123,70412379,71052403,71115839,71634703,71696123,71836018,72361599,73948204,74359065,74514307,74774812,74952159,75418235,75428239,75466782,75710044,75856587,76024828,76463603,77782906,78024252,78332442,78375946,78561160,78628485,78661114,78759624,78760540,79316336,79976139,80361087,80423099,81012523,81215743,81830550,82026699,82252588,82327738,82399722,82568458,82666239,82695379,83463946,83870384,84390024,84561466,84609964,84782947,85034047,85301242,85312540,86214923,87285920,87385948,87527962,87569074,87634059,87892483,88014687,88381305,88576090,88604577,88836104,88844287,88901979,88930979,89000959,89230878,89313983,89354908,89493466,89987740,90501882,90520847,90564124,91399282,92168927,92187339,92499562,92804435,92909263,93144513,93595747,93705772,93725020,93749219,93827866,94273392,94354182,94512648,94938777,94992124,95340739,96075514,96571723,96767048,96834687,97084959,97863034,98196660,98334607,98334879,98958939,98973503,99083679,99326140,99940617,99944603,...,21048256376980205693875866877344961087164869522969173393906061270411877683846690640934478782899781847379543549550686160397781761216814104200602148911508619921441453209579770212179023412862718112180483649905053414630364074468697510853270352641097226498832005504533171338200362101260091184408651117959655289075986461245116192930860053397347820287090620676760120797673202878629943464766977844313412373955994368817423864039530174562469373747332643257130439762945266608810348602227619279418526835732773416625080204632681458998916178516669661989575854851371688778393710962469925394297201154426954470468862188931173890464454475479294138276174751909745136062709049941558488491048564069219908113741421859871559904398501859843852693885646132358079671693616584170857418113414077784021735259145793623038603435840495736064408788918748689735756166975208489270997507867639115159204438694634341253881743011353643600055222445700317859964208783177631248922790423596479960061069557881559546159272646474281074258818272774532588456828611426588836583888988510653656493313616908397854040587235892462249913975239584481664521179415043086429104390504952764964426830437237007549694448937963224560855226581866702084958178926242992545492572685807317759128713520718960463537435113815784557881754016328031661764732779422680776645881950867984095430328151049274591215120157703470784234832001518338221724545335343904559249029633712343869280147916444322433671642811946094897625414666338026529116506738896623348378694232790724173813160178126809217418053387224261324603768824467955193147623303352844821177765229867912177726048176046390205434666284266577152527506416747567100132880468863458491581694514946383471910269787870152616852030999404829366223090653610911100842032335952212307491434539971154859281645476546469698883397700225245427136946957197309697096493735069475947332679955497337480267489739301772374369207486613527792928727977025433943777641766602329473213763267974170627793103917467691465280215772888227740189552918195566330513385875642857746954890139591098964097673026669971361867485347777559211641227336703859395314165560777744877641218526225380770061056193593134591624417479773790591539178825322506123923822224747839767963774975048546299932998632673421676633461261549091911852358853286086250674339134962098439181793304945237779766934789828874087997390733017726223512699965348537007169724681567433423956243581292888388202868392841127182836099596642578380404515437037156047462750849667561074895790257395067768030453950102183794958469179457967135429673739985507020245851800718025381177920235745901648843017680063178219257823353588057668011323937169443003454853125165198993518953378658946367194977677220584593850927001522985997135316242937109402209893078464814866360278296927828197421175534485458632255681856941403529280209667767747789218264725715553969928695469390745547519276935332586424136899372394176324609893510760301843604737466967101893293517420775525581765511721780734971159746077720284440910697226265235641636471217796289113781017200916331341522033087664521899453378739235573005075521624858673122828153104208315367645421155545156011016237641439352961657669329539705897726045407953949399144932804711099455996680121873321514727483623591717505297905235911519338817079797244785336425956634061163427003162741665062017191742054169738546496052621944441176687668399529174102675730117314308340157239116255455346402023728577789672041710688788581593451357263077997715612595489648334862447230853412870863725289950689054044912362017802819462295183808902022425794701428091638791097084669972269844132160171489946156462130911513080538281996187686177739465169224172834753329258646711809588652639224483370818821062680274603522236526361081178371467842343488054727252600512603101136492389940684575593812568166357407467}
23758 310247599766684561249913089654311076271388564678464344293771462467521405169403: {118765,142518,261217,403597,617318,664916,949880,1044692,1068615,1139856,1234532,1282338,1681777,1755206,2089208,2106541,2350359,2493015,2659216,2967875,2991618,3095137,3174326,3489927,3517741,3561450,3740966,3798880,4154675,4273740,4501297,4558656,4641517,4985610,5128488,5317984,5341537,5769549,5935250,5982732,6001766,6348116,7122300,7292017,7410086,7597120,7691318,7858772,8400241,8546760,9090541,9095318,9116544,9366157,9375686,9615105,9779041,10053937,10256112,10739917,10876897,11029335,11150641,11538126,11764624,12002516,12378452,12922957,13194541,13235202,13285718,13872241,14256212,14444871,14817997,15222241,15625837,15716216,16162957,16318052,16565041,16848056,17196275,17680743,18002132,18189092,18299917,18562916,18831277,18954063,19626157,20154637,20286577,20635530,20989652,21275943,21470797,21569318,21602017,21675435,22011232,22126177,22664006,22983711,23120464,23171041,23431537,23821741,24081517,24154916,24762636,25390646,25926315,26010522,26383652,26791777,27432397,27654736,28050135,28134776,28373318,28708237,28792916,28962541,29350671,29920144,30004535,30343047,30482317,30608497,31111578,31489741,31566116,31651623,32367457,32992237,33116977,33366241,33484166,33615217,33660162,34019126,34273955,34941275,35302407,35473357,35804372,36001208,36005442,36122675,36825697,37090916,37925677,39266871,39292772,40391972,40469617,40501359,41010151,41070637,41128746,41307092,41669857,41929530,42026675,42586916,42952292,43134932,43347210,44724832,45001815,45696817,46237024,46281997,46746275,46781012,47205926,48001936,48142477,48720097,48789983,48913655,48965163,49282406,50099041,50315436,50327857,50432010,50442157,50575526,50898637,51467617,51581197,51682916,52016652,52034797,52110643,52349847,53451735,53462626,53725537,53794144,54002178,54396116,54620641,54689318,54987896,55177741,55561515,56065357,56095530,56838241,57015184,57023439,57607597,58264237,58512518,58585930,58696386,59027041,59265616,59352877,59786317,59835232,60110641,60518412,60649741,61722541,61861383,62134052,62256241,62469217,63000397,63029972,63462831,63746132,64142082,64373041,64640612,64812518,65544999,65941741,66061718,66078776,66668257,66673818,66962516,67314636,67385643,67497572,68197515,68315617,68388692,68520241,68741015,68914671,69030541,69053435,69101012,69401794,69540326,69876650,69990692,70247917,70285263,70303116,70775846,71269046,71354737,71555041,71602616,71854957,72007766,72253837,72744016,72905703,73386586,73481318,73659147,73841271,74338623,74427092,74500935,74705318,75208717,75306097,75500641,75791917,76179277,76254891,76375180,77142518,77385446,77717197,77731591,78138212,78212216,79142257,79331041,79467664,79625751,79801741,80252516,80410808,80552943,80780372,80883807,81506967,81601715,81837018,82041275,82404397,82489218,82698567,82864122,83502541,83851980,84228877,84671167,84985035,85518116,85897208,86024557,86392916,86984486,87352417,87695126,87906275,87988743,88140116,88168166,88187242,88489172,88664077,89012516,89270641,89401122,89442112,89578167,89873677,90289718,90391911,90462159,90650704,90984241,91650216,92146532,92250541,92435255,92633318,92669041,93468515,93883172,93913741,94032566,94325041,94487127,94637555,94979377,95031035,96113377,96353126,96482132,96634359,96666647,96994477,97508006,97530315,97787917,97922058,98201450,98411271,98449530,98450675,98461743,98964577,99145420,99353197,99631239,99936212,...,28064341835973607591834489169793281449553159363958897858541415027215836911795587521245971710533042463172724732734248213863709014955752138934136198548678159895255270946106360282905364550483624149573978199873404552840485432624930014471027136854796301998442674006044228450933816135013454912544868157279540385434648614993488257241146737863130427049454160902346827730230937171506591286355970459084549831941325825089898485386040232749959164996443524342840586350593688811747131469636825705891369114310364555500106939510241945331888238022226215986101139801828918371191614616626567192396268205902605960625149585241565187285939300639058851034899669212993514750278733255411317988064752092293210818321895813162079872531335813125136925180861509810772895591488778894476557484552103712028980345527724830718137914453994314752545051891664919647674889300277985694663343823518820212272584926179121671842324015138191466740296594267090479952278377570174998563720564795306613414759410508746061545696861965708099011757697032710117942438148568785115445185318014204875324418155877863805387449647856616333218633652779308886028239220057448572139187339937019952569107249649343399592598583950966081140302109155602779944238568323990060656763581076423678838284694291947284716580151754379410509005355104042215686310372563574368861175934490645460573770868065699454953493543604627712313109335357784295632727113791872745665372844949791825706863888592429911562190415928126530167219555117368705488675651862164464504925643720965565084213570835745623224071182965681766138358432623940257530164404470459761570353639823882903634730901395186940579555045688769536703341888996756133510507291817944655442259353261844629213693050493536822469374665873105821630787538147881467789376447936283076655246053294873145708860635395292931844530266966993902849262609596412929461991646759301263110239940663116640356652985735696499158943315484703723904970636033911925036855688803105964285017690632227503724138556623588620373621030517636986919403890927421774017847834190476995939853519454798618796897368893295149156647130370078948854969782271812527085554081036993170188291368300507693414741591457512788832556639698387455385571767096674831898429632997119690618366633398061733243998176897895568844615015398789215803145137714781667565785513282797918909057739926983706355913053105165450663187644023634964683599953798049342892966242089911231941658108390517850937157857121502910448132795523437840539353916049541396617001132890081433194387009860090357373938600136245059944625572610622847239564986647342693661135734290700508237226980994535531790690240084237625677097804784076890681765249559257337939804166886931991358604504878595156259970236294112791801236002030647996180421657249479202946524104619753155147037729237104263228234045980611509674242475921871372373612890356997052291019634287405293238260625854327396692369247110115232182532496525568432813191347680402458139649955956135857724689894367367442354015629040979961546328103627045921214262968353647522181961623728385485041356267888441788696044116886029199271171652314097340100695499811564163770870805611087156860561540726874681354983521919137282210225772719607863634727210605265865526577072948132607995573495831095352969978164788956673730540314548692451756106396326380448567942178748217902670883655553416022922322738892984728661403495925921568916891199372232136900973489752411120209652155007273795202698304770386229388947585051442124601809684103996954150127319531113149929641137883827818300386600918738726549816023737092616393578411869363234392935237455518388129446226629693125509546895319928208616174548684107384375994916914903652620225632230446337772344862282412784870185632644494425094750240366138029648701814774904495290456457984072969670134016804134848656519920912767458416757555143209956}
23759 311342481288000337644193870887212551438641233857299098351103656562658947000352: {190024,213777,831145,925977,997374,1187350,1305865,1424820,1519808,1543165,1567038,1709784,1828057,1851798,1923507,2326814,2611510,2632809,3133812,3324020,3988824,4487427,4653236,4748600,4761489,5342175,5611449,5698320,6078208,6410610,6647480,6837984,7478415,7566361,7692732,7935145,7976976,8902875,8974098,9002649,9274129,9496400,9522174,9823465,10294046,10683450,11115129,11395680,11536977,11788158,12155392,12820140,13642977,13674816,13751689,14063529,14705780,14742049,15003145,15374161,15384168,15473065,15893977,17125118,17307189,17646936,17820265,18003774,18167929,18491737,18567678,19259828,19645270,19852803,19928577,20230406,20397565,20568361,21060070,21343789,21384318,22502665,22736365,23203645,23574324,23852809,24197894,24477078,24617929,25272084,25532377,25607809,26180126,26237065,27003198,27283638,27514040,27844374,28166221,28367924,28570897,28900580,29373229,29537689,30106177,30193645,30644948,30745726,30953295,31484478,31501057,31779409,31929481,32129689,32353977,32979565,33016848,33996009,34568420,34680696,34716877,35168470,35991145,36098161,36232374,36391549,36473929,37143954,37400180,38085969,38678761,39015783,39134228,39457645,39575478,39730177,39801037,40457396,40501081,41245334,41482104,41870461,42001694,42047629,42202164,42559977,42683974,43189374,43208638,43290601,43318297,43791949,44755465,44880216,44927558,45001510,45391309,45614017,45977209,46363645,46414909,46667367,46921897,47069876,47349174,47835049,48007256,48045889,48114409,49115965,49493257,49888286,50226249,50489965,50490243,50727169,51028689,51211294,51548761,51633865,51656329,51857414,52355828,53233645,53690365,53706558,53918665,53927977,54001812,54008163,54342566,54629377,54838328,54840409,54883286,55636374,55773889,55906040,55986577,56327686,57136966,57796280,57818929,58150969,58476265,58751638,58762801,58939158,59232889,59761069,60002420,60266366,60308989,60587958,61396177,61438609,61693119,61805161,61960638,62652289,62894295,63651014,63880374,64428438,64603645,64702398,64875217,65020815,65286884,66479629,67087248,67242680,67995145,68435689,68734870,68961889,69209341,69355536,69534206,69799796,70171518,70359457,70573849,70808889,71157526,71268980,71702209,72002904,72497197,73302169,73923609,73976137,74082020,74360449,74794040,75160057,75340214,75473154,75648015,75863289,76031252,77264269,77283358,77464729,77524374,77667565,77823469,78024978,78261848,78787465,79319366,79682665,80130961,80193939,80691216,80800765,80995318,81003267,81594174,81703897,82033977,82481844,82598470,83703145,84143295,84346177,84371965,84405697,84617108,85261297,85459321,85485865,85522776,85976854,86222221,86376265,86929849,87393332,87488365,87535358,87749329,87768777,87878895,88044579,88898424,89503270,89652601,89752848,89828761,89847524,90420529,90774934,90777618,90930020,91028294,91220326,91387849,91436077,91886228,92176729,92626118,92806846,93033865,93119149,93201078,93421249,93713684,93734989,93737488,93757177,94544958,95468975,95619198,96133009,96213123,96960918,96984169,97207604,97218777,97425361,97672765,97765270,97871318,98212196,98455028,98709229,98815009,98926249,98981881,99092577,99118164,99334580,99936278,...,42096512753960411387751733754689922174329739045938346787812122540823755367693381281868957565799563694759087099101372320795563522433628208401204297823017239842882906419159540424358046825725436224360967299810106829260728148937395021706540705282194452997664011009066342676400724202520182368817302235919310578151972922490232385861720106794695640574181241353520241595346405757259886929533955688626824747911988737634847728079060349124938747494665286514260879525890533217620697204455238558837053671465546833250160409265362917997832357033339323979151709702743377556787421924939850788594402308853908940937724377862347780928908950958588276552349503819490272125418099883116976982097128138439816227482843719743119808797003719687705387771292264716159343387233168341714836226828155568043470518291587246077206871680991472128817577837497379471512333950416978541995015735278230318408877389268682507763486022707287200110444891400635719928417566355262497845580847192959920122139115763119092318545292948562148517636545549065176913657222853177673167777977021307312986627233816795708081174471784924499827950479168963329042358830086172858208781009905529928853660874474015099388897875926449121710453163733404169916357852485985090985145371614635518257427041437920927074870227631569115763508032656063323529465558845361553291763901735968190860656302098549182430240315406941568469664003036676443449090670687809118498059267424687738560295832888644867343285623892189795250829332676053058233013477793246696757388465581448347626320356253618434836106774448522649207537648935910386295246606705689642355530459735824355452096352092780410869332568533154305055012833495134200265760937726916983163389029892766943820539575740305233704061998809658732446181307221822201684064671904424614982869079942309718563290953092939397766795400450490854273893914394619394192987470138951894665359910994674960534979478603544748738414973227055585857455954050867887555283533204658946427526535948341255586207834935382930560431545776455480379105836391132661026771751285715493909780279182197928195346053339942723734970695555118423282454673407718790628331121555489755282437052450761540122112387186269183248834959547581183078357650645012247847644449495679535927549950097092599865997265346843353266922523098183823704717706572172501348678269924196878363586609890475559533869579657748175994781466035452447025399930697074014339449363134866847912487162585776776405736785682254365672199193285156760809030874074312094925501699335122149791580514790135536060907900204367589916938358915934270859347479971014040491703601436050762355840471491803297686035360126356438515646707176115336022647874338886006909706250330397987037906757317892734389955354441169187701854003045971994270632485874218804419786156929629732720556593855656394842351068970917264511363713882807058560419335535495578436529451431107939857390938781491095038553870665172848273798744788352649219787021520603687209474933934203786587034841551051163531023443561469942319492155440568881821394452530471283272942435592578227562034401832662683044066175329043798906757478471146010151043249717346245656306208416630735290842311090312022032475282878705923315338659079411795452090815907898798289865609422198911993360243746643029454967247183435010595810471823038677634159594489570672851913268122326854006325483330124034383484108339477092992105243888882353375336799058348205351460234628616680314478232510910692804047457155579344083421377577163186902714526155995431225190979296669724894461706825741727450579901378108089824724035605638924590367617804044851589402856183277582194169339944539688264320342979892312924261823026161076563992375372355478930338448345669506658517293423619177305278448966741637642125360549207044473052722162356742935684686976109454505201025206202272984779881369151187625136332714814934}
23760 312441201621035025940604050889595108907134899485045276279791810059683832799488: {166271,237530,285036,308711,403631,451079,522434,807194,972479,1234636,1329832,1496061,1681919,1729151,1781025,1899760,1965191,2089384,2106719,2137230,2279712,2295311,2350557,2469064,2564676,2777697,3001391,3095399,3236351,3363554,3490221,3510412,3564959,3705671,3917265,3940031,4155025,4178416,4213082,4220999,4548431,4641911,4688639,4700718,4968839,4986030,5248751,5318432,5388599,5816545,5900759,5935750,5983236,6179711,6190274,6348652,6979854,7035482,7122900,7338911,7481932,7597760,8309350,8547480,9002594,9091319,9117312,9283034,9615915,9825719,9971220,10100591,10237919,10256976,10466639,10635968,10683074,10786511,10877831,11425079,11539098,11834759,11870500,11965464,12003532,12696232,12924071,13059911,13240919,13461147,13602551,13738031,13918559,14244600,14279231,14283261,14584034,14820172,14864231,15194240,15268439,15382636,15441069,15537551,15717544,16025175,16164359,16566479,16800482,16878791,17012519,17093520,17101631,17413271,17682237,18079751,18181082,18190636,18233088,18301511,18382225,18732314,18751372,18877151,19230210,19230719,19539671,19558082,19671959,20107874,20200391,20512224,20727671,21479834,21735071,21753794,22058670,22258991,22301282,22389791,22564079,22955759,23076252,23173079,23216519,23476991,23529248,23607119,23867159,24005032,24074785,24083639,24126911,24256679,24731879,24756904,25119959,25292231,25421351,25687677,25845914,26389082,26470404,26571436,26794151,26922431,27005661,27434831,27690599,27744482,27851517,28116239,28328759,28512424,28710791,28753199,28889742,29007479,29346071,29467905,29599679,29635994,29768591,30345609,30444482,31251674,31432432,31590105,32076477,32325914,32412071,32636104,32995199,33036791,33119951,33130082,33161519,33696112,34032599,34392550,34776431,34858919,35361486,35459905,35476559,35599871,35723111,36004264,36010391,36125725,36215351,36296841,36378184,36599834,36715617,36829031,36869879,37125832,37359431,37440911,37662554,37685159,37908126,37929119,37969751,38172791,38306185,38456711,39184991,39252314,39270189,39991151,40151999,40309274,40504797,40573154,40874231,40925457,41114399,41271060,41314319,41553959,41766561,41979304,42006349,42551886,42941594,42985751,43138636,43204034,43210525,43262951,43350870,43381631,43579271,44022464,44252354,45231551,45328012,45466439,45701039,45740111,45967422,46118589,46240928,46325231,46342082,46675439,46750225,46863074,47226717,47490071,47643482,47983537,48146951,48163034,48185519,48262631,48309832,48724631,48763079,48839951,48917785,49223831,49525272,50141879,50571745,50781292,50827391,50903399,50941391,51852630,51964151,52021044,52039679,52152911,52717991,52752705,52767304,53583554,53880119,54066839,54348561,54529981,54848879,54864794,55309472,55331231,55405319,55715931,56100270,56107559,56269552,56328719,56733431,56746636,56843639,57393599,57416474,57585832,57613079,57660889,57759239,57925082,58269791,58633511,58701342,58706159,58837345,59363217,59719871,59792039,59840288,60009070,60260351,60547871,60686094,60964634,61216994,61443071,61764119,61868001,62223156,62297759,62475239,62979482,63002541,63006479,63132232,63303246,63465431,63676799,64025961,64379279,64414319,64734914,64784061,64812957,65218031,65444785,65948159,65984474,66086831,66233954,66674759,66709271,66732482,66968332,67230434,67320324,67391337,67502265,67843679,68014799,68038252,68479117,68547910,68561039,68731319,69071279,69342671,69444311,69782591,69882550,70288511,70604814,70759079,70893239,70946714,71023761,71094239,71361791,71395199,71595479,71608744,71895359,72002416,72010884,72245350,72294191,72791111,72857231,73088399,73187351,73286231,73549559,73651394,73746719,74172911,74181832,74369159,74832429,74858519,75003025,75313631,75346079,75799511,75851354,76219151,76380191,76605311,76816941,77565671,77725031,77756879,77786121,78201911,78518831,78533742,78585544,79055759,79150271,79370519,79841159,80185151,80278799,80559837,80590439,80783944,80939234,81002718,81489671,81513849,81608605,81798191,82020302,82141274,82167359,82257492,82324929,82412831,82443479,82596599,82614184,82963271,83054759,83237519,83339714,83419991,83454561,83511119,83632511,83859060,84053350,84086591,84237551,84267719,84491529,84538871,84779351,85173832,85705449,85795679,85904584,85944359,86269864,86566631,86694420,87008951,87249745,87361511,87390839,88092311,88127457,88179671,88408737,88441319,88702319,89086225,89193551,89279999,89449664,89452679,89911751,89997599,90003630,90311759,90399549,90425759,90823751,90881937,91022159,91191911,91393634,91868039,92474048,92563994,92602525,92940957,93206471,93344831,93427751,93492550,93562024,93620951,93841271,93951239,94411852,94608359,94907999,95039065,95152439,95476521,95820561,96003872,96070031,96237421,96284954,96642657,96674809,97004951,97053597,97440194,97561199,97579966,97827310,97877471,97930326,97956359,98271191,98454311,98564812,98897399,99053231,99234671,99389879,99544799,99776639,...,63144769130940617081627600632034883261494608568907520181718183811235633051540071922803436348699345542138630648652058481193345283650442312601806446734525859764324359628739310636537070238588154336541450949715160243891092223406092532559811057923291679496496016513599514014601086303780273553225953353878965867227959383735348578792580160192043460861271862030280362393019608635889830394300933532940237121867983106452271592118590523687408121241997929771391319288835799826431045806682857838255580507198320249875240613898044376996748535550008985968727564554115066335181132887409776182891603463280863411406586566793521671393363426437882414828524255729235408188127149824675465473145692207659724341224265579614679713195505579531558081656938397074239015080849752512572254340242233352065205777437380869115810307521487208193226366756246069207268500925625467812992523602917345477613316083903023761645229034060930800165667337100953579892626349532893746768371270789439880183208673644678638477817939422843222776454818323597765370485834279766509751666965531960969479940850725193562121761707677386749741925718753444993563538245129259287313171514858294893280491311711022649083346813889673682565679745600106254874536778728977636477718057421953277386140562156881390612305341447353673645262048984094985294198338268042329937645852603952286290984453147823773645360473110412352704496004555014665173636006031713677747088901137031607840443749332967301014928435838284692876243999014079587349520216689870045136082698372172521439480534380427652254160161672783973811306473403865579442869910058534463533295689603736533178144528139170616303998852799731457582519250242701300398641406590375474745083544839150415730809363610457850556092998214488098669271960832733302526097007856636922474303619913464577844936429639409096650193100675736281410840871591929091289481205208427841998039866492012440802469217905317123107622459840583378786183931076301831332925299806988419641289803922511883379311752403074395840647318664683220568658754586698991540157626928573240864670418773296892293019080009914085602456043332677634923682010111578185942496682333234632923655578676142310183168580779403774873252439321371774617536475967518371771466674243519303891324925145638899798995898020265029900383784647275735557076559858258752023017404886295317545379914835713339300804369486622263992172199053178670538099896045611021509174044702300271868730743878665164608605178523381548508298789927735141213546311111468142388252549002683224687370772185203304091361850306551384875407538373901406289021219956521060737555402154076143533760707237704946529053040189534657773470060764173004033971811508329010364559375495596980556860135976839101584933031661753781552781004568957991405948728811328206629679235394444599080834890783484592263526603456375896767045570824210587840629003303243367654794177146661909786086408172236642557830805997759272410698117182528973829680532280905530814212400901305679880552262326576745296535165342204913479238233160853322732091678795706924909413653388867341343051602748994024566099262993565698360136217706719015226564874576019368484459312624946102936263466635468033048712924318058884973007988619117693178136223861848197434798414133298367990040365619964544182450870775152515893715707734558016451239391734356009277869902183490281009488224995186051575226162509215639488157865833323530063005198587522308027190351942925020471717348766366039206071185733369016125132066365744780354071789233993146837786468945004587341692560238612591175869852067162134737086053408458386885551426706067277384104284274916373291254009916809532396480514469838469386392734539241614845988563058533218395507672518504259987775940135428765957917673450112456463188040823810566709579083243535114403527030464164181757801537809303409477169822053726781437704499072222401}
23761 313543774137744630078631994938706332074156272738632745905314122157111626441957: {23761,356295,380048,427554,783651,1163603,1210791,1543295,1662290,1828211,1851954,1994748,2160431,2374700,2611730,2849640,3039616,3086330,3134076,3205845,3419568,3656114,3703596,3847014,4388015,4653628,5045331,5223020,5265618,6267624,6319623,6648040,7051077,7479045,7935815,7977648,8088179,8903625,8942063,8974854,9285411,9306472,9352415,9497200,9522978,10365203,10469781,10553223,10684350,11109203,11222898,11396640,12156416,12464025,12821220,13294960,13503891,13675968,13752851,13924551,14838125,14956830,15004415,15132722,15385464,15870290,15895319,15953952,16024611,17308647,17805750,17948196,18005298,18169463,18525215,18548258,18783791,18992800,19012631,19044348,19228295,19646930,20570099,20588092,21004403,21366900,21662291,21853871,21876051,22230258,22738295,22791360,23073954,23439215,23576316,23854823,24308063,24310784,24948371,25200723,25640280,26968103,27271623,27285954,27349632,27503378,28098471,28127058,28556591,28845315,29337123,29375711,29411560,29484098,29540183,30006290,30108719,30161811,30748322,30768336,30946130,31503731,31574771,31787954,31830911,31932179,32219751,32427503,32485103,32630691,32828903,33001331,33088005,33214295,33218831,33451923,34250236,34614378,35293872,35518163,35640530,36007548,36335858,36477011,36731891,36983474,37135356,38519656,38768871,38901311,39197939,39290540,39583623,39705606,39857154,40460812,40745111,40795130,41136722,41174303,41616723,41742551,41873999,42120140,42271103,42661463,42687578,42768636,43294259,43334613,44453991,44758079,45005330,45472730,45666723,45711263,46171391,46407290,46418831,46877511,47148648,47705618,47839091,48395788,48488871,48943943,48954156,49148051,49235858,49695123,50011511,50387603,50544168,50731463,51064754,51194351,51215618,51588825,52360252,52474130,53042229,53407391,53923295,54006396,54567276,54634019,54899751,55028080,55240703,55453151,55688748,56332442,56493831,56660015,56735848,56862189,57141794,57801160,58492031,58746458,58878471,59075378,59237903,60212354,60387290,60463911,60563231,60859731,60921263,61289896,61491452,61906590,62322359,62335523,62657651,62968956,63002114,63476615,63558818,63827829,63858962,64259378,64412391,64561991,64707954,64806051,64909103,65026305,65342951,65959130,66033696,66378531,66791783,67992018,68762351,68951133,69136840,69361392,69433754,69513123,70294611,70336940,70579823,70685951,70933295,71064431,71465223,71522231,71982290,72196322,72244551,72287411,72464748,72503351,72783098,72947858,73042463,73982399,74287908,74527103,74672303,74800360,75166511,75441011,75446003,75486131,76171938,76670711,77357522,77778945,78031566,78268456,78357491,78915290,79150956,79460354,79602074,80137763,80375331,80914792,81002162,81026279,81866771,82297191,82490668,82964208,83710415,83740922,84003388,84095258,84150405,84404328,84797303,85047815,85119954,85150991,85367948,86124711,86354183,86378748,86417276,86581202,86636594,86887623,87583898,88052013,88279151,89510930,89760432,89855116,90003020,90013605,90428183,90445103,90782618,91029141,91228034,91446951,91825491,91954418,92727290,92829818,92925011,93334734,93843794,93948671,94139752,94335779,94469223,94698348,94954869,95103383,95193203,95670098,95835539,96014512,96091778,96228818,96559151,96588071,97102371,97433699,98067791,98231930,98934623,98976711,98986514,99350931,99776572,...,84193025507920822775503467509379844348659478091876693575624245081647510735386762563737915131599127389518174198202744641591127044867256416802408595646034479685765812838319080848716093651450872448721934599620213658521456297874790043413081410564388905995328022018132685352801448405040364737634604471838621156303945844980464771723440213589391281148362482707040483190692811514519773859067911377253649495823977475269695456158120698249877494989330573028521759051781066435241394408910477117674107342931093666500320818530725835995664714066678647958303419405486755113574843849879701577188804617707817881875448755724695561857817901917176553104699007638980544250836199766233953964194256276879632454965687439486239617594007439375410775542584529432318686774466336683429672453656311136086941036583174492154413743361982944257635155674994758943024667900833957083990031470556460636817754778537365015526972045414574400220889782801271439856835132710524995691161694385919840244278231526238184637090585897124297035273091098130353827314445706355346335555954042614625973254467633591416162348943569848999655900958337926658084717660172345716417562019811059857707321748948030198777795751852898243420906327466808339832715704971970181970290743229271036514854082875841854149740455263138231527016065312126647058931117690723106583527803471936381721312604197098364860480630813883136939328006073352886898181341375618236996118534849375477120591665777289734686571247784379590501658665352106116466026955586493393514776931162896695252640712507236869672213548897045298415075297871820772590493213411379284711060919471648710904192704185560821738665137066308610110025666990268400531521875453833966326778059785533887641079151480610467408123997619317464892362614443644403368129343808849229965738159884619437126581906185878795533590800900981708547787828789238788385974940277903789330719821989349921069958957207089497476829946454111171714911908101735775110567066409317892855053071896682511172415669870765861120863091552910960758211672782265322053543502571430987819560558364395856390692106679885447469941391110236846564909346815437581256662243110979510564874104901523080244224774372538366497669919095162366156715301290024495695288898991359071855099900194185199731994530693686706533845046196367647409435413144345002697356539848393756727173219780951119067739159315496351989562932070904894050799861394148028678898726269733695824974325171553552811473571364508731344398386570313521618061748148624189851003398670244299583161029580271072121815800408735179833876717831868541718694959942028080983407202872101524711680942983606595372070720252712877031293414352230672045295748677772013819412500660795974075813514635785468779910708882338375403708006091943988541264971748437608839572313859259465441113187711312789684702137941834529022727427765614117120838671070991156873058902862215879714781877562982190077107741330345696547597489576705298439574043041207374418949867868407573174069683102102327062046887122939884638984310881137763642788905060942566545884871185156455124068803665325366088132350658087597813514956942292020302086499434692491312612416833261470581684622180624044064950565757411846630677318158823590904181631815797596579731218844397823986720487493286058909934494366870021191620943646077355268319188979141345703826536244653708012650966660248068766968216678954185984210487777764706750673598116696410702920469257233360628956465021821385608094914311158688166842755154326373805429052311990862450381958593339449788923413651483454901159802756216179649448071211277849180735235608089703178805712366555164388338679889079376528640685959784625848523646052322153127984750744710957860676896691339013317034586847238354610556897933483275284250721098414088946105444324713485871369373952218909010402050412404545969559762738302375250272665429629868}
23762 314650212256361499803750433822606174439654951682289771984924077121678740940318: {332542,451117,475060,570072,617422,641331,807262,902158,1019917,1044868,1614388,1729297,1944958,2469272,2493435,2659664,2777931,2968375,2992122,3283597,3363838,3458302,3562050,3799520,3846637,3917595,3930382,4178768,4213438,4268161,4274460,4559424,4590622,4629495,4689037,4701114,4938128,5129352,5249197,5484171,5555394,5770521,5817035,6002782,6190798,6472702,6528775,6727108,6980442,7020824,7129918,7411342,7755661,7834530,7880062,7898427,8143163,8310050,8356832,8426164,8441998,9096862,9283822,9377278,9401436,9937678,9972060,10497502,10636864,10777198,11633090,11801518,11871500,11966472,12359422,12380548,12697304,13462281,13959708,14070964,14245800,14284467,14325517,14595661,14677822,14963864,15195520,15942061,16026525,16344577,16618700,16834347,16880257,17094960,17281261,17681617,18005188,18182638,18234624,18566068,19231830,19651438,19942440,20201182,20475838,20513952,20933278,21271936,21366148,21573022,21755662,22435245,22699083,22850158,23078196,23218561,23669518,23741000,23805435,23930928,24007064,24129037,24777217,25392464,25423597,25735115,25848142,26119822,26481838,26708625,26922294,27007947,27205102,27351937,27476062,27735661,27822387,27837118,28489200,28558462,28566522,28755757,29168068,29470395,29640344,29644561,29728462,30388480,30536878,30765272,30882138,30908161,31075102,31435088,32050350,32328718,32540077,32790061,33039757,33132958,33164497,33345387,33600964,33704699,33757582,34025038,34187040,34203262,34610931,34826542,35364474,35644177,36159502,36362164,36381272,36466176,36603022,36764450,36873217,37464628,37485037,37502744,37754302,37973197,38460420,38461438,38703277,39079342,39116164,39343918,39551761,40215748,40400782,40928931,41024448,41255067,41455342,42190587,42812795,42959668,43470142,43507588,43741261,44117340,44226147,44517982,44602564,44779582,45009435,45128158,45274897,45744337,45911518,46122483,46152504,46346158,46419195,46433038,46679761,46953982,47058496,47214238,47494477,47681931,47734318,48010064,48149570,48167278,48189997,48253822,48513358,48767617,48998161,49113175,49463758,49513808,49643867,50239918,50576015,50584462,50718061,50842702,50946157,51375354,51691828,51921567,52650175,52778164,52940808,53142872,53460795,53588302,53628659,53844862,54011322,54109261,54503787,54869662,54891217,55381198,55475211,55488964,55703034,56232478,56657518,57024848,57421582,57435661,57506398,57764737,57779484,58014958,58692142,58748077,58935810,59199358,59271988,59291857,59537182,59558409,59785731,60494735,60691218,60888964,61192695,61448977,61705083,62503348,62623117,62864864,63180210,64031367,64152954,64420561,64444523,64651828,64824142,65154637,65259217,65272208,65450315,65990398,66073582,66239902,66260164,66301057,66323038,66715777,67392224,67507995,67850317,68055661,68065198,68144687,68209095,68484899,68772097,68785100,69552862,69610935,69717838,70722972,70800443,70919810,70953118,71199742,71402257,71446222,71558427,72008528,72020782,72251450,72430702,72593682,72756368,72798337,73199668,73431234,73658062,73739758,73786897,73853787,74082061,74251664,74718862,74768257,74865997,74881822,75325108,75353617,75370318,75816252,75858238,75939502,76345582,76597131,76612370,76823427,76864315,76913422,77764717,78146317,78369982,78504628,78540378,78711195,79095277,79982302,80303998,80618548,81009594,81146308,81436177,81528877,81748462,81850914,82228798,82372283,82451917,82542120,82628638,82635661,83093761,83107918,83276497,83533122,83958608,84012698,84276397,84498663,85103772,85712691,85883188,85971502,86277272,86408068,86421050,86525902,86701740,86763262,86870737,87158542,87399937,87921175,88044928,88119687,88450561,88504708,88613067,90318531,90463102,90580935,90656024,90776557,90861697,90932878,91402078,91480222,91622699,91934844,92237178,92465677,92481856,92650462,92684164,92859885,93350878,93382417,93500450,93726148,94453434,94503171,94980142,95189761,95286964,95338227,95788443,95967074,96241357,96293902,96326068,96371038,96389067,96525262,96619664,96642577,97061931,97449262,97526158,97598161,97679902,97835570,98150797,98447662,98938695,99050544,99787537,...,126289538261881234163255201264069766522989217137815040363436367622471266103080143845606872697398691084277261297304116962386690567300884625203612893469051719528648719257478621273074140477176308673082901899430320487782184446812185065119622115846583358992992033027199028029202172607560547106451906707757931734455918767470697157585160320384086921722543724060560724786039217271779660788601867065880474243735966212904543184237181047374816242483995859542782638577671599652862091613365715676511161014396640499750481227796088753993497071100017971937455129108230132670362265774819552365783206926561726822813173133587043342786726852875764829657048511458470816376254299649350930946291384415319448682448531159229359426391011159063116163313876794148478030161699505025144508680484466704130411554874761738231620615042974416386452733512492138414537001851250935625985047205834690955226632167806047523290458068121861600331334674201907159785252699065787493536742541578879760366417347289357276955635878845686445552909636647195530740971668559533019503333931063921938959881701450387124243523415354773499483851437506889987127076490258518574626343029716589786560982623422045298166693627779347365131359491200212509749073557457955272955436114843906554772281124313762781224610682894707347290524097968189970588396676536084659875291705207904572581968906295647547290720946220824705408992009110029330347272012063427355494177802274063215680887498665934602029856871676569385752487998028159174699040433379740090272165396744345042878961068760855304508320323345567947622612946807731158885739820117068927066591379207473066356289056278341232607997705599462915165038500485402600797282813180750949490167089678300831461618727220915701112185996428976197338543921665466605052194015713273844948607239826929155689872859278818193300386201351472562821681743183858182578962410416855683996079732984024881604938435810634246215244919681166757572367862152603662665850599613976839282579607845023766758623504806148791681294637329366441137317509173397983080315253857146481729340837546593784586038160019828171204912086665355269847364020223156371884993364666469265847311157352284620366337161558807549746504878642743549235072951935036743542933348487038607782649850291277799597991796040530059800767569294551471114153119716517504046034809772590635090759829671426678601608738973244527984344398106357341076199792091222043018348089404600543737461487757330329217210357046763097016597579855470282427092622222936284776505098005366449374741544370406608182723700613102769750815076747802812578042439913042121475110804308152287067521414475409893058106080379069315546940121528346008067943623016658020729118750991193961113720271953678203169866063323507563105562009137915982811897457622656413259358470788889198161669781566969184527053206912751793534091141648421175681258006606486735309588354293323819572172816344473285115661611995518544821396234365057947659361064561811061628424801802611359761104524653153490593070330684409826958476466321706645464183357591413849818827306777734682686103205497988049132198525987131396720272435413438030453129749152038736968918625249892205872526933270936066097425848636117769946015977238235386356272447723696394869596828266596735980080731239929088364901741550305031787431415469116032902478783468712018555739804366980562018976449990372103150452325018431278976315731666647060126010397175044616054380703885850040943434697532732078412142371466738032250264132731489560708143578467986293675572937890009174683385120477225182351739704134324269474172106816916773771102853412134554768208568549832746582508019833619064792961028939676938772785469078483229691977126117066436791015345037008519975551880270857531915835346900224912926376081647621133419158166487070228807054060928328363515603075618606818954339644107453562875408998144444802}
23763 315760529441553436762937769126483212752356087998081580743890886094864681140576: {47522,498813,593825,712590,760096,855108,926133,1210893,1306085,1353237,1567302,2017985,2160613,2327206,2421582,2872661,2917437,3086590,3324580,3656422,3703908,3989496,4320862,4488183,4749400,5045757,5187453,5223460,5343075,5699280,5895573,6079232,6143221,6172660,6268152,6320157,6411690,6839136,6885933,7051671,7312228,7407192,7694028,8333091,8408885,8776030,9004173,9286197,9307256,9558757,9709053,10090662,10446040,10470663,10531236,10532705,10694877,11110141,11117013,11751795,11820093,12465075,12535248,12639246,12662997,13093381,13296080,13645293,13925733,14065917,14102154,14839375,14906517,14958090,15475685,15746253,15871630,15955296,16165797,16176358,17449635,17588705,17702277,17807250,17884126,17949708,18539133,18570822,18612944,18704830,18785377,18994400,19045956,20730406,20773375,20939562,21006181,21106446,21368700,21609797,22016733,22218406,22445796,22469473,22506485,22793280,23166077,23207585,23758061,24310117,24312832,24928050,25642440,25935301,26589920,26707685,26919613,27007782,27273957,27351936,27505702,27849102,28847745,28874453,29477157,29676250,29913660,30008830,30140821,30265444,30301773,30713757,30770928,31399917,31577437,31740580,31790638,31833613,31907904,32049222,32285381,32359533,32430241,32633493,32814901,32831677,33388493,34275237,34617294,35504277,35611500,35896392,36010596,36338926,36460085,37050430,37096516,37567582,37985600,38025262,38088696,38456590,38651477,38685317,38772213,39001573,39179733,39293860,39722757,40383441,40807653,41140198,41176184,41214093,41755677,42001205,42008806,42733800,42837693,42849783,43324582,43707742,43752102,43778773,44460516,44592693,44761861,45398993,45452705,45476590,45582720,45805317,46147908,46323207,46324837,46500013,46612653,46830785,46878430,47152632,47709646,48075525,48153313,48493077,48616126,48621568,48722117,48895205,49501661,49699437,49896742,50269685,50401446,50636373,51037557,51280560,51304893,51432737,52239813,52284821,53046711,53699585,53936206,54239253,54384485,54543246,54571908,54699264,54904533,54985361,55006756,55146675,55753205,56196942,56254116,56631453,57113182,57240797,57690630,57692157,58160813,58619013,58674246,58751422,58823120,58944533,58968196,59015877,59080366,59104513,60012580,60217438,60323622,60601173,61406573,61496644,61536672,61892260,62183013,63007462,63149542,63575908,63661822,63864358,64439502,64567477,64614785,64855006,64970206,65205213,65261382,65657806,65972705,66002662,66176010,66428590,66437662,66776973,66903846,67169373,67688317,67692237,68500472,68867277,69221057,69228756,69361205,69519237,69649557,70430973,70587744,70821357,71036326,71133917,71281060,71601477,71714381,72015096,72224355,72250917,72380733,72671716,72770037,72954022,73030357,73314581,73463782,73653697,73966948,74089985,74195637,74270712,74373053,75359877,75447397,75492613,75608357,75876693,76111205,76264053,77039312,77063031,77537742,77802622,78129185,78395878,78581080,78865601,79167246,79324021,79411212,79714308,79822117,80382453,80767293,80814785,80921624,81016983,81033157,81490222,81590260,82273444,82304493,82348606,82825205,83071797,83233446,83485102,83554551,83747998,84240280,84348717,84526273,84542206,84804481,84986277,85322926,85375156,85537272,85981375,86132373,86236817,86259597,86588518,86669226,87022437,88038213,88403715,88799037,88867261,88907982,89305773,89516158,89667797,90010660,90027253,90858317,90945460,91036827,91333446,91422526,91499585,92192333,92342782,92814580,92837662,93755022,93773093,94156385,94297296,94770315,95411236,95678182,96229431,96791576,96977742,97000637,97236213,97887886,97908312,98130785,98296102,98453597,98471716,98531533,98831741,98985597,98998637,99110373,99306613,99359853,99390246,99484557,...,189434307392821851244882801896104649784483825706722560545154551433706899154620215768410309046098036626415891945956175443580035850951326937805419340203577579292973078886217931909611210715764463009624352849145480731673276670218277597679433173769875038489488049540798542043803258911340820659677860061636897601683878151206045736377740480576130382583815586090841087179058825907669491182902800598820711365603949319356814776355771571062224363725993789314173957866507399479293137420048573514766741521594960749625721841694133130990245606650026957906182693662345199005543398662229328548674810389842590234219759700380565014180090279313647244485572767187706224564381449474026396419437076622979173023672796738844039139586516738594674244970815191222717045242549257537716763020726700056195617332312142607347430922564461624579679100268738207621805502776876403438977570808752036432839948251709071284935687102182792400497002011302860739677879048598681240305113812368319640549626020934035915433453818268529668329364454970793296111457502839299529255000896595882908439822552175580686365285123032160249225777156260334980690614735387777861939514544574884679841473935133067947250040441669021047697039236800318764623610336186932909433154172265859832158421686470644171836916024342061020935786146952284955882595014804126989812937557811856858872953359443471320936081419331237058113488013665043995520908018095141033241266703411094823521331247998901903044785307514854078628731997042238762048560650069610135408248095116517564318441603141282956762480485018351921433919420211596738328609730175603390599887068811209599534433584417511848911996558399194372747557750728103901195924219771126424235250634517451247192428090831373551668278994643464296007815882498199907578291023569910767422910859740393733534809288918227289950579302027208844232522614775787273868443615625283525994119599476037322407407653715951369322867379521750136358551793228905493998775899420965258923869411767535650137935257209223187521941955994049661705976263760096974620472880785719722594011256319890676879057240029742256807368129998032904771046030334734557827490046999703898770966736028426930549505742338211324619757317964115323852609427902555115314400022730557911673974775436916699396987694060795089701151353941827206671229679574776256069052214658885952636139744507140017902413108459866791976516597159536011614299688136833064527522134106900815606192231635995493825815535570144645524896369783205423640638933334404427164757647008049674062112316555609912274085550919654154626222615121704218867063659869563182212666206462228430601282121713114839587159120568603973320410182292519012101915434524987031093678126486790941670580407930517304754799094985261344658343013706873974217846186433984619889037706183333797242504672350453776790579810369127690301136712472631763521887009909730102964382531439985729358259224516709927673492417993277817232094351547586921489041596842716592442637202703917039641656786979730235889605496026614740437714699482559968196275036387120774728240960166602024029154808246982073698297788980697095080408653120157045679694623728058105453377937874838308808790399906404099146138772954176654919023965857353079534408671585544592304395242399895103970121096859893632547352612325457547681147123203674049353718175203068027833609706550470843028464674985558154725678487527646918464473597499970590189015595762566924081571055828775061415152046299098117618213557200107048375396199097234341062215367701979440513359406835013762025077680715837773527609556201486404211258160225375160656654280118201832152312852824749119873762029750428597189441543409515408159178203617724844537965689175599655186523017555512779963327820406286297873753020350337369389564122471431700128737249730605343210581091392492545273404613427910228431509466161180344313113497216667203}
23764 316874739204583344070694372427888675884120683063427774690775344129357399096492: {71283,261283,403699,546043,665084,902234,950120,1068885,1140144,1234844,1282662,1614524,1804316,2039834,2089736,2350953,2389963,3095923,3228776,3236899,3458594,3490809,3632373,3889916,4155725,4629885,4642699,4938544,4986870,5319328,5342899,5482723,5484633,5555862,5936750,5984244,6481293,6529325,6567194,6727676,6916604,7124100,7432699,7599040,7693274,7715825,7835190,7860764,8125699,8143849,8357536,8426876,8536322,8548920,9118848,9140285,9181244,9258990,9378074,9402228,9617535,9876256,10056523,10258704,10331203,10498394,10879699,10968342,11110788,11541042,11634070,12005564,12381596,12945404,13057550,13062163,13164045,13454216,13960884,14041648,14259836,14822684,14956699,15135993,15511322,15629899,15669060,15760124,15764323,15796854,16167163,16286326,16620100,16713664,16852328,16883996,17104603,17505283,18193724,18567644,18754556,18802872,18836203,18958869,18968899,19631299,19763563,19875356,19944120,20291899,20819083,20995004,21153231,21273728,21554396,21607699,21738883,22262899,22437135,23046763,23266180,23603036,23743000,23807445,23932944,24264537,24718844,24761096,25394608,26027563,26710875,26826189,26924562,26927203,27567643,27856233,27919416,28057245,28141928,28491600,28568934,28651034,28843123,29191322,29355644,29927728,30391040,30616699,30742843,31095609,31409343,31659669,31884122,32053050,32689154,33001123,33125899,33237400,33250603,33327609,33668694,33760514,34189920,34562522,34865203,35363234,35606299,36010376,36029161,36365276,36469248,37132136,37392075,37447699,37831805,38179723,38463660,39272899,39302876,39675725,39884880,40402364,40511673,40951676,40961803,41027904,41258553,41561563,41773653,41800963,41866556,42543872,42732296,43146044,43468699,43511324,44060899,44514375,44769163,44870490,45013245,45122323,45398166,45700316,46156392,46370645,46437122,46528483,47339036,47482000,47576299,47610870,47685957,47861856,48014128,48073833,48258074,48271603,48849043,49117325,49309699,49554434,50456299,50784928,50847194,50912923,51470230,51595699,51696284,51709243,51925941,52049443,52162699,52239644,52963676,53417250,53844588,53965003,54015894,54410204,54508389,54703874,54952124,55415803,55471322,55575645,55644774,55674236,56081299,56191963,56351373,56978400,57037893,57116924,57133044,57511514,57624043,57684885,57843283,58336136,58717363,58940790,59280688,59289122,59456924,59478403,59803483,59937913,60776960,61073756,61526299,61530544,61710297,61764276,61816322,62150204,62487283,62870176,63013209,63759523,64100700,64657436,64706899,64986873,65080154,65561613,65580122,65628153,66009977,66079514,66169003,66265916,66328994,66690774,66791299,67201928,67409398,67515164,67925443,68050076,68214885,68374080,68406524,68744803,68758445,69221862,69356299,69653084,70317645,70369699,70728948,70806421,71288354,71476123,71564469,72275323,72319004,72724328,72762544,72871699,72924189,72932352,73206044,73528900,73710245,73746434,74253163,74845113,74929256,74970074,75005488,75015725,75328699,75402701,75508604,75602169,75911683,75946394,76161709,76684963,76870805,76920840,76922876,77365325,77406554,77645083,77836243,78158684,78232328,78687836,79071763,79103522,79260763,79469885,80431496,80801564,80904309,81814869,81857862,82048896,82337683,82510134,82910684,84254899,84295413,84381174,84692629,84796843,85066843,85625590,85669773,85919336,86140363,86535945,86940284,87015176,87482522,87906523,88011369,88127133,88234680,88452294,88620549,88778803,89035964,89101325,89205128,89471443,89559164,90018870,90073723,90256316,90326157,90330763,90485433,90549794,90839645,91267699,91488674,91630441,91823036,92244966,92305008,92458685,92692316,92838390,92866076,93359522,93364699,93907964,94108603,94116992,94428476,94511193,94519363,94724313,94988954,95363862,95468636,95492733,95796537,95821699,96020128,96144403,96299140,96334556,96379994,96507644,96659253,97026716,97282509,97344283,97455309,97535234,97892073,97898683,97996322,98226350,98486709,98527963,98927516,99003993,99027616,99074803,99264015,99287734,99642885,99656493,...,252579076523762468326510402528139533045978434275630080726872735244942532206160287691213745394797382168554522594608233924773381134601769250407225786938103439057297438514957242546148280954352617346165803798860640975564368893624370130239244231693166717985984066054398056058404345215121094212903813415515863468911837534941394315170320640768173843445087448121121449572078434543559321577203734131760948487471932425809086368474362094749632484967991719085565277155343199305724183226731431353022322028793280999500962455592177507986994142200035943874910258216460265340724531549639104731566413853123453645626346267174086685573453705751529659314097022916941632752508599298701861892582768830638897364897062318458718852782022318126232326627753588296956060323399010050289017360968933408260823109749523476463241230085948832772905467024984276829074003702501871251970094411669381910453264335612095046580916136243723200662669348403814319570505398131574987073485083157759520732834694578714553911271757691372891105819273294391061481943337119066039006667862127843877919763402900774248487046830709546998967702875013779974254152980517037149252686059433179573121965246844090596333387255558694730262718982400425019498147114915910545910872229687813109544562248627525562449221365789414694581048195936379941176793353072169319750583410415809145163937812591295094581441892441649410817984018220058660694544024126854710988355604548126431361774997331869204059713743353138771504975996056318349398080866759480180544330793488690085757922137521710609016640646691135895245225893615462317771479640234137854133182758414946132712578112556682465215995411198925830330077000970805201594565626361501898980334179356601662923237454441831402224371992857952394677087843330933210104388031426547689897214479653858311379745718557636386600772402702945125643363486367716365157924820833711367992159465968049763209876871621268492430489839362333515144735724305207325331701199227953678565159215690047533517247009612297583362589274658732882274635018346795966160630507714292963458681675093187569172076320039656342409824173330710539694728040446312743769986729332938531694622314704569240732674323117615099493009757285487098470145903870073487085866696974077215565299700582555599195983592081060119601535138589102942228306239433035008092069619545181270181519659342853357203217477946489055968688796212714682152399584182444086036696178809201087474922975514660658434420714093526194033195159710940564854185244445872569553010196010732898749483088740813216365447401226205539501630153495605625156084879826084242950221608616304574135042828950819786116212160758138631093880243056692016135887246033316041458237501982387922227440543907356406339732126647015126211124018275831965623794915245312826518716941577778396323339563133938369054106413825503587068182283296842351362516013212973470619176708586647639144345632688946570231323223991037089642792468730115895318722129123622123256849603605222719522209049306306981186140661368819653916952932643413290928366715182827699637654613555469365372206410995976098264397051974262793440544870826876060906259498304077473937837250499784411745053866541872132194851697272235539892031954476470772712544895447392789739193656533193471960161462479858176729803483100610063574862830938232065804957566937424037111479608733961124037952899980744206300904650036862557952631463333294120252020794350089232108761407771700081886869395065464156824284742933476064500528265462979121416287156935972587351145875780018349366770240954450364703479408268648538948344213633833547542205706824269109536417137099665493165016039667238129585922057879353877545570938156966459383954252234132873582030690074017039951103760541715063831670693800449825852752163295242266838316332974140457614108121856656727031206151237213637908679288214907125750817996288889604}
23765 317992855103469421189823312408199814924120622074447783377608821250172872259511: {95044,831355,997626,1187650,1353351,1425180,1520192,1543555,1710216,1828519,1852266,1923993,2018155,2255395,2421786,2612170,2706474,2825179,2872903,3059751,3134604,3394963,4035970,4321226,4654412,4843164,4862395,5187891,5745322,5834874,6173180,6649160,7312844,7407816,7480305,7978992,8333793,8409595,8641724,8645755,8905125,8976366,9498800,9825955,9850791,10091514,10374906,10446920,10533595,10686150,11398560,11476555,11539911,11693467,11752785,11772439,11791146,12158464,12286442,12345320,12536304,12547351,12640314,12804483,12823380,13678272,13771866,13888485,14067111,14103342,14624456,14745787,14814384,15006955,15388056,15476995,15747591,16181755,16452513,16666182,16817770,17311563,17451105,17457319,17552060,17824795,18008346,18528355,18572394,18614512,19117514,19418106,19586325,19700155,20181324,20775125,20892080,20941326,21062472,21065410,21104995,21389754,21611623,21665959,22220282,22234026,22742155,23209555,23266983,23443195,23503590,23640186,23695281,23760067,24429489,24563419,24624187,24844195,24930150,25070496,25278492,25325994,25538851,26186762,26243755,26553127,26592160,26942995,27290586,27378091,27851466,28131834,28204308,28578139,28876891,29082725,29503795,29678750,29813034,29916180,30898555,30951370,31492506,31509079,31743260,31787467,31910592,32288107,32331594,32352716,32490619,33006919,34040743,34511959,34899270,35177410,35404554,35614500,35768252,35899416,35933179,36694555,37078266,37141644,37225888,37316551,37390759,37409660,37570754,37988800,38091912,38654743,39204583,39740251,40386843,40511347,41460812,41546750,41879124,42012362,42212892,42737400,42853401,42976551,42995671,43219594,43786983,44033466,44436812,44874643,44891592,44938946,45012970,45456595,45586560,45625579,45719011,45988867,46332154,46415170,47516122,47826183,48079575,48620234,48625664,49033731,49128595,49505863,49856100,50020003,50094571,50502955,50503041,50640771,50740051,51044119,51048019,51189595,51284880,51437083,51669427,51843783,51870602,52082263,52289239,52333195,53044851,53179840,53415370,53839226,53932555,53941651,54015564,54389155,54547914,54703872,55011404,55698204,55788067,57125395,57695490,57721543,57748906,58501963,58801687,58954314,59173795,59181163,59247931,59352500,59776267,59827320,60017660,60033031,60281642,60530888,60603546,61411771,61427514,61454227,61541856,62799834,63154874,63481160,63581276,63633787,63667226,63815808,64098444,64570762,64620355,64719066,64860482,65266986,65299555,65563099,65629802,65663354,66204595,66426019,66776986,66946459,67305735,68012755,68097249,68453287,68550474,68690155,69234588,69592795,69655683,70377559,70591771,71008554,71223000,71396155,71416305,71792784,72021192,72387111,72515659,72555043,72677852,72920170,73320787,73994923,74100860,74193032,74321155,74331651,74684947,75135164,75179419,75458791,75971200,76050524,76138279,76177392,76270791,76342195,76489579,76913180,77205345,77302954,77370634,77412571,77544426,77687755,78003146,78054487,78359466,78370759,78587720,79180519,79445514,79666267,80125875,80151367,80766882,80821795,80853211,81023841,81615306,82055811,82280396,82352368,82428186,82832395,83206983,83467161,83511354,84002410,84017612,84393955,84427219,85062595,85467600,85508155,85675386,85699566,86267271,86649164,86806819,86951947,87066355,87415484,87504204,87557546,88143907,88294099,88411185,88921032,88933683,89185386,89355331,89523722,90398755,90443491,90460699,90797986,90905410,90953180,91165440,91507555,91610634,91911125,92295816,92361787,92646414,92649674,92724483,93000026,93225306,93661570,93756860,93758827,93964579,94305264,94385755,95419292,95517067,95851783,96151050,96153595,96306626,96986154,97008871,97105687,97232252,97243136,97444234,97620231,97698355,97790410,97822843,98084443,98359795,98370183,98462023,98840107,98951371,99003322,99119271,99398874,99493491,99793484,...,378868614785643702489765603792209299568967651413445121090309102867413798309240431536820618092196073252831783891912350887160071701902653875610838680407155158585946157772435863819222421431528926019248705698290961463346553340436555195358866347539750076978976099081597084087606517822681641319355720123273795203367756302412091472755480961152260765167631172181682174358117651815338982365805601197641422731207898638713629552711543142124448727451987578628347915733014798958586274840097147029533483043189921499251443683388266261980491213300053915812365387324690398011086797324458657097349620779685180468439519400761130028360180558627294488971145534375412449128762898948052792838874153245958346047345593477688078279173033477189348489941630382445434090485098515075433526041453400112391234664624285214694861845128923249159358200537476415243611005553752806877955141617504072865679896503418142569871374204365584800994004022605721479355758097197362480610227624736639281099252041868071830866907636537059336658728909941586592222915005678599058510001793191765816879645104351161372730570246064320498451554312520669961381229470775555723879029089149769359682947870266135894500080883338042095394078473600637529247220672373865818866308344531719664316843372941288343673832048684122041871572293904569911765190029608253979625875115623713717745906718886942641872162838662474116226976027330087991041816036190282066482533406822189647042662495997803806089570615029708157257463994084477524097121300139220270816496190233035128636883206282565913524960970036703842867838840423193476657219460351206781199774137622419199068867168835023697823993116798388745495115501456207802391848439542252848470501269034902494384856181662747103336557989286928592015631764996399815156582047139821534845821719480787467069618577836454579901158604054417688465045229551574547736887231250567051988239198952074644814815307431902738645734759043500272717103586457810987997551798841930517847738823535071300275870514418446375043883911988099323411952527520193949240945761571439445188022512639781353758114480059484513614736259996065809542092060669469115654980093999407797541933472056853861099011484676422649239514635928230647705218855805110230628800045461115823347949550873833398793975388121590179402302707883654413342459359149552512138104429317771905272279489014280035804826216919733583953033194319072023228599376273666129055044268213801631212384463271990987651631071140289291049792739566410847281277866668808854329515294016099348124224633111219824548171101839308309252445230243408437734127319739126364425332412924456861202564243426229679174318241137207946640820364585038024203830869049974062187356252973581883341160815861034609509598189970522689316686027413747948435692372867969239778075412366667594485009344700907553581159620738255380602273424945263527043774019819460205928765062879971458716518449033419855346984835986555634464188703095173842978083193685433184885274405407834079283313573959460471779210992053229480875429398965119936392550072774241549456481920333204048058309616493964147396595577961394190160817306240314091359389247456116210906755875749676617617580799812808198292277545908353309838047931714706159068817343171089184608790484799790207940242193719787265094705224650915095362294246407348098707436350406136055667219413100941686056929349971116309451356975055293836928947194999941180378031191525133848163142111657550122830304092598196235236427114400214096750792398194468682124430735403958881026718813670027524050155361431675547055219112402972808422516320450750321313308560236403664304625705649498239747524059500857194378883086819030816318356407235449689075931378351199310373046035111025559926655640812572595747506040700674738779128244942863400257474499461210686421162182784985090546809226855820456863018932322360688626226994433334406}
23766 319114890743145905977462646752377491490640960301857038755241975424027149335173: {118805,142566,308789,451193,522566,546089,807398,1092086,1114793,1330168,1496439,1781475,1804468,1871273,1900240,2107253,2137770,2280288,2295893,2437289,2469688,2565324,2778399,3229048,3237173,3284153,3608632,3632679,3706613,3847289,3918255,3941033,4059711,4079668,4081589,4179472,4689833,4701906,4779926,5343353,5389973,5818015,6041813,6053955,6191846,6320693,6457552,6473798,6481839,6877589,6917188,6981618,7201913,7264746,7716475,7779832,8172533,8311450,8587433,8617983,8752311,9141055,9259770,9277493,9285398,9553013,9877088,9973740,10103189,10240553,10638656,10685798,10802155,10965446,10969266,11111724,11336873,11873500,11968488,12796399,12927413,12962586,13058650,13063289,13134388,13199093,13380053,13455352,13464549,13741589,13833208,13877033,14057513,14248200,14865398,15137271,15198080,15386548,15431650,15562359,15670380,15721528,16029225,16251398,16287698,16347413,16715072,16749353,16853752,17016953,17072644,17097840,17686719,17773589,18237696,18280570,18362488,18429663,18517980,18756148,18804456,18882089,18960471,19014773,19235070,19677113,19752512,20113046,20517408,20657799,20662406,20733113,20996788,21155013,21759398,21936684,21940075,22221576,22395689,22700693,23082084,23268140,23613353,23830133,24011128,24263093,24652073,24763192,24867893,24999273,25226655,25428089,25557173,25890808,26072789,26115100,26124326,26328090,26908432,26929589,27012519,27442133,27570089,27858591,27921768,28083296,28519672,28676271,28845689,29127159,29142293,29607593,29645368,29913398,30271986,31022644,31259798,31291433,31338120,31411989,31520248,31528646,31593708,31598115,31794089,32084631,32334326,32545913,32572652,33045689,33128873,33170453,33240200,33253589,33330423,33351039,33427328,33704656,33767992,34209206,35010566,35255385,35460279,35609513,35650613,35732789,35855993,36225173,36387448,36634613,37135288,37369589,37395225,37491833,37509112,37605744,37672406,37917738,37937798,37988991,38588789,39262598,39280143,39316853,39527126,39679075,39750712,39888240,40002089,40440895,40583798,40935879,41005589,41638166,41685113,41777199,41990008,42197751,42306462,42521333,42547456,43108792,43116473,43215398,43393589,43477766,43512233,44064953,44104373,44301353,44518125,44525798,44576789,44710315,44719551,44874270,45165689,46093526,46427055,46532360,46532789,46762075,47038073,47206072,47238759,47486000,47503289,47580713,47614890,47865888,48160373,48276089,48497391,48529074,48738233,48853589,49437688,49522192,50003189,50270393,50789216,50955689,51069653,51826015,52055126,52167593,52348905,52766115,52964527,53106831,53421750,53652378,53849124,53854406,53895353,54641273,55135286,55198613,55346933,55546015,55617399,55712466,55838832,56114490,56123513,56283856,56356131,56455253,56859833,56983200,57006713,57137868,57302068,57686246,57775733,57848789,58382644,58711288,58759289,59049593,59375573,59855456,60133673,60277673,60673013,60782080,60816533,61233398,61485686,61532213,62191218,62320125,62635193,62706089,62818686,63018543,63166133,63319338,63768244,64106100,64829391,64918903,65237033,65378308,65863289,66002246,66050199,66106133,66251798,66474800,66501206,66655218,66797813,66832313,67337388,67408419,67519455,67521028,67932089,68379840,68547113,68764255,68785589,69125044,69363113,69464789,69498231,69622755,69730406,69803189,70410293,70726468,71212598,71215733,71274183,71483189,71716793,72020752,72058322,72315689,72481589,72730552,72878933,72930351,72938496,72978089,73209173,73308089,73571513,73867253,74190625,74264272,74554793,74784150,74895398,75022075,75368693,75663610,75757589,75919289,76359446,76628393,76724789,76927320,77109653,77805903,77844089,78011791,78225593,78545798,78605752,78890453,79111289,79174313,79268789,79351450,79476595,79488953,79769760,79834133,79959413,80123055,80303273,80758839,80804728,81023346,81514613,81821871,81903352,81923606,82055808,82517106,83080313,83123126,83445689,83536853,83547306,83601926,83658293,83733112,84263573,84273607,84293753,84444533,84655289,85087744,85464592,85911593,86060213,86292088,86543235,86593589,86623359,86800313,86937398,86947733,87022648,87388793,87915689,88121798,88207289,88431471,89028750,89112283,89308073,89538326,89740980,90025973,90026490,90244646,90422463,90796332,90847315,90852473,90905319,90937589,91400632,92141271,92312784,92626075,92741290,92874244,93056966,93402293,93457589,93733589,93918955,93953813,94146089,94199751,94678072,94732311,94964000,95020073,95063155,95152598,95221740,95371914,95500839,95723712,96028256,96141475,96147666,96261823,96262073,96516148,96543206,96856143,96903353,97078599,97290723,97513589,97698086,97900479,97988213,98172089,98234650,98303189,98444703,98495031,98619398,99007673,99108868,99163433,99344789,99654773,...,568302922178465553734648405688313949353451477120167681635463654301120697463860647305230927138294109879247675837868526330740107552853980813416258020610732737878919236658653795728833632147293389028873058547436442195019830010654832793038299521309625115468464148622395626131409776734022461979033580184910692805051634453618137209133221441728391147751446758272523261537176477723008473548708401796462134096811847958070444329067314713186673091177981367942521873599522198437879412260145720544300224564784882248877165525082399392970736819950080873718548080987035597016630195986687985646024431169527770702659279101141695042540270837940941733456718301563118673693144348422079189258311229868937519071018390216532117418759550215784022734912445573668151135727647772613150289062180100168586851996936427822042292767693384873739037300806214622865416508330629210316932712426256109298519844755127213854807061306548377201491006033908582219033637145796043720915341437104958921648878062802107746300361454805589004988093364912379888334372508517898587765002689787648725319467656526742059095855369096480747677331468781004942071844206163333585818543633724654039524421805399203841750121325007063143091117710400956293870831008560798728299462516797579496475265059411932515510748073026183062807358440856854867647785044412380969438812673435570576618860078330413962808244257993711174340464040995131986562724054285423099723800110233284470563993743996705709134355922544562235886195991126716286145681950208830406224744285349552692955324809423848870287441455055055764301758260634790214985829190526810171799661206433628798603300753252535546735989675197583118242673252184311703587772659313379272705751903552353741577284272494120655004836983930392888023447647494599722734873070709732302268732579221181200604427866754681869851737906081626532697567844327361821605330846875850577982358798428111967222222961147854107968602138565250409075655379686716481996327698262895776771608235302606950413805771627669562565825867982148985117928791280290923861418642357159167782033768959672030637171720089226770422104389994098714313138091004203673482470140999111696312900208085280791648517227014633973859271953892345971557828283707665345943200068191673735021924326310750098190963082182385269103454061825481620013689038724328768207156643976657857908419233521420053707239325379600375929549791478608034842899064410499193582566402320702446818576694907986481477446606710433936574689109349616270921916800003213281494272941024149022186336949666829736822256652758962463878667845365112656601190979608689546637998619386685291803846365139344518761477361705811919961230546877557036305746303574961093281034379460372825011741223791551914264397284955784033975029041120621922653538559301953859667113118550001391727514017051361330371739431107383070903410137417895290565661029729190308893147594319957188074777673550129783020477253979833451696283054642760764467124790528149777327911608111751118924970360939190707668816488079844221313144098447679904588825109161362324184722880499806072087464424740946221094893366942091285241225959360471137039083871184174316360133813624514926426371199719212297438416318862529964757071897572059238603226014756633776913185727199685311910363290579680897642057836976372643043441369611022148061154525609204083500829119651412529085394024956674464177035462582940755393420792499911770567046787287700772244713167486325184245456138897294352854640671600321145126188597291703023186646103105938321540078220505041286075233042147513320582828668604459212633774480676125481969962840354605496456938558474247359621286089251285791568324630228546224477534610853174533613897067526798965559569052666538339889983461218858893621259061051012108168692367414295100386211749191816029631743274177477635820213840283730685294528398483541032939340491650001609}
23767 320240859775624365753094943852114179492311029061610910842721607944230324462317: {23767,190088,213849,783849,1163897,1211097,1638129,1662710,1995252,2160977,2255585,2375300,2706702,2825417,2850360,3040384,3087110,3157553,3206655,3395249,3420432,3657038,3704532,3847986,4012229,4036310,4510790,4843572,5099585,5224340,5412948,5650358,5745806,6119502,6269208,6789926,6807353,7052859,7169889,8071940,8642452,8646485,9287769,9308824,9653633,9686328,9710697,9724790,10375782,10472427,10897119,11490644,11669748,11773433,12104057,12346360,12467175,12499913,13069169,13298320,13756337,13889655,13928097,14625688,14747033,14815632,14841875,14960610,15957984,16028697,16067177,16417985,16448169,16453899,16667586,16819190,17283448,17291510,17458793,17810250,17952732,18997600,19233185,19443879,19587975,19651910,19701582,20183028,20575313,20631377,20749812,20893840,21009737,21067190,21340805,21372300,21667793,22298097,22654457,22797120,22953110,23079822,23147475,23386934,23445185,23505570,23544878,23582292,24316928,24377097,24431547,24565493,24572884,24690640,24954713,25072608,25094702,25280628,25541009,25608966,25646760,25939697,26245985,26555369,27356544,27420855,27453233,27543732,27580217,27776970,28134222,28206684,28852605,29085175,29248912,29383157,29491574,29546993,29628768,30013910,30169569,30776112,30953990,30993609,31495182,31790153,31839017,31940273,32363510,32493377,32639097,32643875,32820473,32905026,33009713,33332364,33635540,34514873,34623126,34781873,34902210,34914638,35104120,35527169,35649590,35936213,36016692,36486257,36741257,37056710,37144788,37229024,37686017,37720193,38235028,38778305,38836212,39008177,39172650,39186489,39400310,39492135,39743609,40229969,40362648,40715815,40755473,41305313,41550250,41784160,41882652,41884613,42124944,42130820,42209990,42302249,42779508,43223246,43257977,43305233,43331918,44440564,44468052,44870097,45407979,45484310,45992753,46332689,46419110,46430597,46533966,46886390,46889697,47007180,47280372,47292969,47390562,47520134,47851217,48501489,48858978,49126838,49160513,49248374,49688390,49860300,50024249,50140992,50556984,50651988,51002057,51077702,51313809,51372377,51566273,51673793,52373524,52487510,52515849,53033669,53106254,53184320,53420933,53549369,53885990,53946209,54581172,54756182,55702932,56263668,56408616,56508609,56876607,56906697,57156278,57753782,58165450,58506929,58660577,58893897,59007590,59114549,59290689,59357500,59626068,59832360,60329477,60578633,60875697,61797110,61902740,62068049,62351369,62457249,62969717,62985012,63018158,63459693,63486520,63574934,63639233,63821184,64576214,64663188,64705432,64823097,64981238,65216649,66013838,66788697,66808769,67311405,68081486,68216369,68780033,69023918,69140289,69798540,70354820,70704137,70809108,71229000,71422335,71536504,71627585,71665433,71798832,71866358,72793611,72978305,73071449,73266473,73389110,74156532,74283288,74451776,74633102,74691269,74781518,74819320,74822513,75141508,75460169,75505577,75977600,76144817,76183824,77290517,77309486,78082689,78377393,78409166,78503477,79480502,79710305,79835633,79975553,80132625,80478567,80773686,80781609,81022694,81046913,81722885,81938489,82702929,82751369,82843313,82921624,83093500,83568699,83758248,84024724,84171735,84401285,84425784,84434393,84818837,85474800,85488353,85706802,85746869,85953102,85991342,86406305,86439188,86529369,87573966,88066932,88301573,88405169,88408085,88873624,89038769,89749286,89783184,89877892,90025940,90042497,90468497,90913190,91173120,91251158,91419377,91438022,91850097,91977734,92228529,92664308,92686433,92830340,92948633,93286827,93523457,93576977,93972533,94228029,94359833,94979007,95032244,95127569,95217857,95652366,96159150,96166217,96316373,97240468,97251328,97429913,98067462,98092769,98257190,98548217,99003369,99011726,99377697,99712200,99751809,99759929,99954617,99982827,...,757737229571287404979531207584418599137935302826890242180618205734827596618480863073641236184392146505663567783824701774320143403805307751221677360814310317171892315544871727638444842863057852038497411396581922926693106680873110390717732695079500153957952198163194168175213035645363282638711440246547590406735512604824182945510961922304521530335262344363364348716235303630677964731611202395282845462415797277427259105423086284248897454903975157256695831466029597917172549680194294059066966086379842998502887366776532523960982426600107831624730774649380796022173594648917314194699241559370360936879038801522260056720361117254588977942291068750824898257525797896105585677748306491916692094691186955376156558346066954378696979883260764890868180970197030150867052082906800224782469329248570429389723690257846498318716401074952830487222011107505613755910283235008145731359793006836285139742748408731169601988008045211442958711516194394724961220455249473278562198504083736143661733815273074118673317457819883173184445830011357198117020003586383531633759290208702322745461140492128640996903108625041339922762458941551111447758058178299538719365895740532271789000161766676084190788156947201275058494441344747731637732616689063439328633686745882576687347664097368244083743144587809139823530380059216507959251750231247427435491813437773885283744325677324948232453952054660175982083632072380564132965066813644379294085324991995607612179141230059416314514927988168955048194242600278440541632992380466070257273766412565131827049921940073407685735677680846386953314438920702413562399548275244838398137734337670047395647986233596777490990231002912415604783696879084505696941002538069804988769712363325494206673115978573857184031263529992799630313164094279643069691643438961574934139237155672909159802317208108835376930090459103149095473774462501134103976478397904149289629630614863805477291469518087000545434207172915621975995103597683861035695477647070142600551741028836892750087767823976198646823905055040387898481891523142878890376045025279562707516228960118969027229472519992131619084184121338938231309960187998815595083866944113707722198022969352845298479029271856461295410437711610220461257600090922231646695899101747666797587950776243180358804605415767308826684918718299105024276208858635543810544558978028560071609652433839467167906066388638144046457198752547332258110088536427603262424768926543981975303262142280578582099585479132821694562555733337617708659030588032198696248449266222439649096342203678616618504890460486816875468254639478252728850664825848913722405128486852459358348636482274415893281640729170076048407661738099948124374712505947163766682321631722069219019196379941045378633372054827495896871384745735938479556150824733335188970018689401815107162319241476510761204546849890527054087548039638920411857530125759942917433036898066839710693969671973111268928377406190347685956166387370866369770548810815668158566627147918920943558421984106458961750858797930239872785100145548483098912963840666408096116619232987928294793191155922788380321634612480628182718778494912232421813511751499353235235161599625616396584555091816706619676095863429412318137634686342178369217580969599580415880484387439574530189410449301830190724588492814696197414872700812272111334438826201883372113858699942232618902713950110587673857894389999882360756062383050267696326284223315100245660608185196392470472854228800428193501584796388937364248861470807917762053437627340055048100310722863351094110438224805945616845032640901500642626617120472807328609251411298996479495048119001714388757766173638061632636712814470899378151862756702398620746092070222051119853311281625145191495012081401349477558256489885726800514948998922421372842324365569970181093618453711640913726037864644721377252453988866668812}
23768 321370775900155539251519122044284827795317939031741260089071475377920079073158: {166327,237610,285132,617578,902386,1045132,1092178,1614796,1871431,2184172,2229586,2296087,2494065,2660336,2969125,2992878,3284431,3562950,3608936,3742546,3800480,4060053,4214506,4275540,4560576,4591786,4630665,4874578,4939376,4970527,5130648,5390431,5485557,5556798,5771979,6054465,6367687,6458096,6474346,6530425,6568306,6766185,7217264,7265358,7413226,7694578,7836510,7882066,7896247,8119422,8145221,8159336,8163178,8358944,8475537,8618709,9179253,9278287,9379666,9403812,9559852,10089925,10184889,10653127,10686706,10779946,10803065,11611231,11636030,12083626,12107910,12383692,12565807,12641386,12797477,12915104,12947596,12963678,13245487,13755178,13834376,13923367,13963236,14363305,14403826,14529492,14587185,15123017,15432950,15559664,15563673,16345066,16348831,16622900,16750807,17018431,17174866,17235966,17285767,17419327,17504622,18282110,18519540,18554986,18570796,19106026,19754176,19947480,20206378,20481106,20734927,21277312,21371596,21604310,21930892,21938532,22223448,22440915,22572007,22673746,23747000,23875567,23936976,24265231,25001379,25228785,25301167,25559431,25592798,25854826,25925172,25937265,26117300,26126578,26268776,26398186,26715375,26760106,26910704,26929098,27102967,27483178,27666416,27754066,27870847,28115026,28496400,29477865,29552373,29652487,29730796,29779207,30274542,30396160,30716105,30773096,30863300,31124718,31294231,31340760,31443056,31600785,32058450,32502796,32575396,32694826,33173431,33430144,33498706,33707504,34033906,34145288,34195680,34429665,34619733,35036431,35080401,35258355,35317317,35373438,35407087,35547178,35653831,35900287,36475392,36561140,36637927,36724976,36859326,37035960,37512296,37608912,37642053,37764178,37920942,38029546,38349007,38413449,38470140,39078007,39354226,39505024,40166647,40226092,41034816,41315598,41324812,41466226,41665455,41993576,42044425,42201333,42310026,42564967,43518796,43753327,43871767,43873368,43880150,44108431,44237361,44443152,44791378,45020865,45401386,46164168,46430985,46536280,47042431,47226706,47242773,47660266,47793785,48022256,48203431,48434767,48526186,48545265,48781231,49011847,49127047,49304146,49357539,49526384,49735786,49998546,50453310,50732287,50846407,50856178,51074431,51114346,51781616,51934689,52145578,52230200,52248652,52353315,52371957,52656180,52663525,53474385,53563687,53816864,53859178,54025038,54236527,54884266,55140178,55550705,55585065,55717182,55843536,55907287,56166592,56617253,57012127,57039344,57352542,57691378,57781231,58109767,58254318,58284586,58758975,59100465,59215186,59290736,59826796,60543972,62045288,62325375,62519596,62582866,62594441,62641231,62676240,62823978,62960047,63040496,63057292,63172231,63187416,63196230,63314985,63384127,63588178,64169262,64668652,64834869,64997877,65091826,65145304,65278231,65466905,66091378,66112567,66257746,66340906,66480400,66507178,66660846,66702078,66838831,66854656,67409312,67535984,68226465,68418412,68587927,69628665,69800949,70021132,70329585,70510770,70920558,70921231,71085843,71219026,71280201,71301226,71465578,71711986,72450346,72556421,72720727,72774896,73269226,73288467,73690257,73872561,74196875,74202487,74270576,74532585,74739178,74790450,74888431,74983666,75018224,75211488,75344812,75835476,75875596,75977982,76616553,77117407,77177578,77378425,77596927,77764421,78525196,78550567,78560286,78633706,78731265,79054252,79358150,79501424,79659381,79776480,79873567,80004178,80828985,80881790,81167596,81553831,81871758,82011178,82134273,83119327,83276332,83370226,83554398,83666887,83980016,84121207,84302431,84395502,84612924,85042666,85094912,85734417,86217584,86232946,86430796,86630673,86787178,86955532,86986231,87024466,87248175,87427231,87603127,87943525,88129906,88208746,88511385,88602706,89036250,89051596,89153578,89420630,89439102,89748540,90331378,90463831,90890431,92187052,92195753,92578831,92695665,92854110,93064720,93065578,93524150,93926885,93991327,94076146,94188149,94412144,94477518,94527237,94894207,94972000,95006578,95161426,95229780,95301727,95362401,95731776,96269957,96320746,96552178,96864321,96913807,96994782,97058148,97471857,97476466,97707178,98875376,99020757,99044384,99596081,...,1136605844356931107469296811376627898706902954240335363270927308602241394927721294610461854276588219758495351675737052661480215105707961626832516041221465475757838473317307591457667264294586778057746117094872884390039660021309665586076599042619250230936928297244791252262819553468044923958067160369821385610103268907236274418266442883456782295502893516545046523074352955446016947097416803592924268193623695916140888658134629426373346182355962735885043747199044396875758824520291441088600449129569764497754331050164798785941473639900161747437096161974071194033260391973375971292048862339055541405318558202283390085080541675881883466913436603126237347386288696844158378516622459737875038142036780433064234837519100431568045469824891147336302271455295545226300578124360200337173703993872855644084585535386769747478074601612429245730833016661258420633865424852512218597039689510254427709614122613096754402982012067817164438067274291592087441830682874209917843297756125604215492600722909611178009976186729824759776668745017035797175530005379575297450638935313053484118191710738192961495354662937562009884143688412326667171637087267449308079048843610798407683500242650014126286182235420801912587741662017121597456598925033595158992950530118823865031021496146052366125614716881713709735295570088824761938877625346871141153237720156660827925616488515987422348680928081990263973125448108570846199447600220466568941127987487993411418268711845089124471772391982253432572291363900417660812449488570699105385910649618847697740574882910110111528603516521269580429971658381053620343599322412867257597206601506505071093471979350395166236485346504368623407175545318626758545411503807104707483154568544988241310009673967860785776046895294989199445469746141419464604537465158442362401208855733509363739703475812163253065395135688654723643210661693751701155964717596856223934444445922295708215937204277130500818151310759373432963992655396525791553543216470605213900827611543255339125131651735964297970235857582560581847722837284714318335564067537919344061274343440178453540844208779988197428626276182008407346964940281998223392625800416170561583297034454029267947718543907784691943115656567415330691886400136383347470043848652621500196381926164364770538206908123650963240027378077448657536414313287953315715816838467042840107414478650759200751859099582957216069685798128820998387165132804641404893637153389815972962954893213420867873149378218699232541843833600006426562988545882048298044372673899333659473644513305517924927757335690730225313202381959217379093275997238773370583607692730278689037522954723411623839922461093755114072611492607149922186562068758920745650023482447583103828528794569911568067950058082241243845307077118603907719334226237100002783455028034102722660743478862214766141806820274835790581131322059458380617786295188639914376149555347100259566040954507959666903392566109285521528934249581056299554655823216223502237849940721878381415337632976159688442626288196895359809177650218322724648369445760999612144174928849481892442189786733884182570482451918720942274078167742368348632720267627249029852852742399438424594876832637725059929514143795144118477206452029513267553826371454399370623820726581159361795284115673952745286086882739222044296122309051218408167001658239302825058170788049913348928354070925165881510786841584999823541134093574575401544489426334972650368490912277794588705709281343200642290252377194583406046373292206211876643080156441010082572150466084295026641165657337208918425267548961352250963939925680709210992913877116948494719242572178502571583136649260457092448955069221706349067227794135053597931119138105333076679779966922437717787242518122102024216337384734828590200772423498383632059263486548354955271640427680567461370589056796967082065878680983300003218}
23769 322504652863391731330050080931792621136369996783987934993170895367753241179156: {47534,356415,380176,427698,926367,1306415,1353579,1567698,1638267,2018495,2327794,2422194,2730215,2873387,3157819,3276258,3325420,3344379,3990504,4012567,4321954,4439567,4489317,4511170,4750600,5344425,5413404,5613819,5650834,5700720,6080768,6174220,6315106,6321759,6413310,6790498,6840864,6887679,7139419,7311867,7314076,7409064,7695972,8024458,8072620,8335197,9021580,9687144,9711519,9852459,10199170,10448680,10825896,10898037,11119839,11300716,11408839,11491612,11541867,11754765,11823099,11949815,12105079,12179133,12239004,12244767,12538416,13579852,13614706,13970491,14069499,14105718,14339778,15479615,16030059,16143880,16169919,16184495,17284904,17292970,17454045,18125439,18161865,18499547,18575538,18617648,18962079,19307266,19372656,19421394,19445517,19449580,20632767,20633119,20751564,20778625,20944854,21605739,21794238,22981288,22985179,23149425,23171951,23213495,23339496,23546866,24208114,24316279,24517599,24692720,24934350,24999826,25762299,25853949,26138338,26256933,26596640,26714495,26926459,27413615,27423165,27455551,27512674,27779310,27832479,27856194,28659039,29251376,29494066,29631264,29683750,29877127,29921220,30309567,30721659,31915968,32057394,32134354,32143259,32406465,32646625,32823259,32835970,32839999,32896338,32907798,33335172,33396959,33638380,34010619,34046507,34566896,34583020,34917586,35530171,35620500,35802119,35905464,36406919,36744379,37163495,37689199,37995200,38389197,38466370,38579125,38695151,38782239,38887758,39011479,39175950,39189867,39303820,39403164,39597279,39817847,40140159,40366056,40393647,40628495,40719245,41150626,41224767,41262754,41499624,41631099,41787680,42019474,42134380,42172539,42681610,42744600,43335586,44596194,44773207,45172667,45308914,45411813,45594240,45701425,45906220,46159644,46294950,46687077,46773868,46890370,47011140,47089756,47164584,48087675,48165559,48633856,48734471,48754194,48863094,49042239,49130986,49145768,49164667,49381280,49514267,49909426,49993567,50145216,50189404,50248059,50282615,50561256,51050859,51056687,51082018,51217932,51293520,51656015,51879394,52491970,53060157,53110738,53320767,53425447,54289627,54398495,54713088,54841710,54906466,55087464,55160434,55288989,55553940,56268444,56413368,56646267,56881413,57002141,57002299,57044319,57255311,57705210,58170350,58497824,58756907,58766314,58959479,58983148,59031339,59093986,59119567,59257536,59786399,60027820,60339138,60941959,61422167,61552224,61907980,61973397,61987218,62199339,62990364,63465039,63580306,63678034,63880546,64727020,64986754,65278194,65287750,65310815,65617499,65640946,65810052,65820225,66019426,66469367,66664728,67187067,67271080,67705531,68102079,69029746,69246252,69563746,69804420,69829276,70208240,70377919,70840059,71054338,71299180,71490399,71872426,72033384,72789279,72972514,73333199,73482514,73956219,74113420,74289576,74391959,74458048,74603679,74783495,74997819,75372034,75440386,75679965,76284267,76470056,76502567,76671519,77425679,77556610,77672424,78016354,78149495,78218367,78345300,78372978,78800620,78821615,78984270,79487218,79842391,80212187,80459938,80725296,80788767,80835815,81037557,81431630,81510946,82326399,82610626,82710267,83100500,83568320,83575773,83765304,83769226,84249888,84261640,84419980,84604498,85523015,85559016,86028813,86357167,86383519,86446492,86515954,86537067,86610466,86663836,87381477,87426879,87526415,88822779,88881128,88936104,89690591,89740194,90050119,90815958,90968620,91985506,92402651,92665378,92838220,92861194,93067932,93772780,93774719,93779394,93874299,94014360,94181015,94235967,94367851,94560744,94585938,94781124,94794345,94844495,95040268,95271559,95382267,95702434,96253893,97002978,97025339,97637739,97717956,97839407,98156495,98253676,98321026,98496748,98556559,98817815,98856839,99137067,99376780,99386619,99511359,99720600,99760767,99991269,99995951,...,1704908766535396661203945217064941848060354431360503044906390962903362092391581941915692781414882329637743027513605578992220322658561942440248774061832198213636757709975961387186500896441880167086619175642309326585059490031964498379114898563928875346405392445867186878394229330202067385937100740554732078415154903360854411627399664325185173443254340274817569784611529433169025420646125205389386402290435543874211332987201944139560019273533944103827565620798566595313638236780437161632900673694354646746631496575247198178912210459850242621155644242961106791049890587960063956938073293508583312107977837303425085127620812513822825200370154904689356021079433045266237567774933689606812557213055170649596352256278650647352068204737336721004453407182943317839450867186540300505760555990809283466126878303080154621217111902418643868596249524991887630950798137278768327895559534265381641564421183919645131604473018101725746657100911437388131162746024311314876764946634188406323238901084364416767014964280094737139665003117525553695763295008069362946175958402969580226177287566107289442243031994406343014826215532618490000757455630901173962118573265416197611525250363975021189429273353131202868881612493025682396184898387550392738489425795178235797546532244219078549188422075322570564602943355133237142908316438020306711729856580234991241888424732773981133523021392122985395959688172162856269299171400330699853411691981231990117127403067767633686707658587973380148858437045850626491218674232856048658078865974428271546610862324365165167292905274781904370644957487571580430515398983619300886395809902259757606640207969025592749354728019756552935110763317977940137818117255710657061224731852817482361965014510951791178664070342942483799168204619212129196906806197737663543601813283600264045609555213718244879598092703532982085464815992540627551733947076395284335901666668883443562323905806415695751227226966139060149445988983094788687330314824705907820851241417314883008687697477603946446955353786373840872771584255927071477503346101306879016091911515160267680311266313169982296142939414273012611020447410422997335088938700624255842374945551681043901921577815861677037914673484851122996037829600204575021205065772978932250294572889246547155807310362185476444860041067116172986304621469931929973573725257700564260161121717976138801127788649374435824104528697193231497580747699206962107340455730084723959444432339820131301809724067328048848812765750400009639844482818823072447066559010849000489210466769958276887391636003536095337969803572938826068639913995858160055875411539095418033556284432085117435759883691640632671108917238910724883279843103138381118475035223671374655742793191854867352101925087123361865767960615677905861579001339355650004175182542051154083991115218293322149212710230412253685871696983089187570926679442782959871564224333020650389349061431761939500355088849163928282293401374371584449331983734824335253356774911082817572123006449464239532663939432295343039713766475327484086972554168641499418216262393274222838663284680100826273855723677878081413411117251613552522949080401440873544779279113599157636892315248956587589894271215692716177715809678044269901330739557181599055935731089871739042692926173510929117929130324108833066444183463576827612250502487358954237587256182074870023392531106387748822266180262377499735311701140361863102316734139502458975552736368416691883058563922014800963435378565791875109069559938309317814964620234661515123858225699126442539961748486005813377637901323442028376445909888521063816489370815675422742078863858267753857374704973890685638673432603832559523600841691202580396896678707157999615019669950383656576680863777183153036324506077102242885301158635247575448088895229822532432907460641520851192055883585195450623098818021474950004827}
23770 323642504459549762305513020001846777193062546672592281065868668870785236042753: {71301,332654,403801,475220,546181,570264,641547,688489,1235156,1804772,1966021,2090264,2184356,2351547,2390569,2531941,3229592,3237721,3491691,3633291,3742862,3941701,4156775,4368344,4459172,4592174,4914387,4988130,5320672,5484121,5623909,5938250,5985756,6482931,6568862,6766755,7125900,7217872,7295749,7485092,7600960,7717775,8120106,8266201,8429012,8476251,8551080,9121152,9142595,9183572,9261330,9370969,9472659,9619965,9749156,9878752,9941054,10059109,10090775,10185747,10261296,10333861,10471129,10780862,10971114,11113596,11156389,11276975,11429989,11543958,12036687,12108930,12735374,12916192,12948692,13060850,13136612,13201369,13532370,14125895,14364515,14434528,14530716,14826452,15095401,15124291,15298755,15389156,15673020,15764132,15768421,15792494,16238844,16290442,16318672,16326356,16717888,16951074,16974815,17109061,17237418,18309481,18358506,18556574,18575449,18759332,18807624,18973861,19119704,19768741,20108627,20179850,20369778,20422059,20824549,21158577,21306254,21373412,21509667,21559892,21606130,21744601,22399621,23183269,23222462,23272060,23443909,23834329,24094249,24167252,24215820,24311975,24742789,24767384,25131614,25282772,25594954,25830208,25895192,25927356,25939455,26034469,26490974,27510356,27668752,27702889,27846734,27863307,27926472,28341349,28726610,28807652,28960899,28978009,29058984,29132091,29174370,29232169,30246034,30498649,30751081,30865900,31119328,31127346,31417281,31883461,32690132,32691357,32697662,33134821,33245800,33259561,33384229,33501614,33633349,33882181,34036862,34349732,34471932,34571534,34838654,35009244,35320299,35739241,36231721,36312171,36564220,37039080,37109972,37141592,37401525,37457881,37499739,38190121,38212052,39207507,39508352,39894960,40412756,40962212,41093161,41269011,41333209,41469854,41668965,41692741,41784291,42047975,42171109,42529129,42554624,42743192,43002547,43208620,43228775,43480681,43599301,43861784,43877064,44241099,44446896,44525625,44881830,44899369,45144014,45252421,45347492,46541401,47494000,47589541,47705641,47751134,47873952,48086091,48201531,48530462,48747301,49129775,49253955,49344507,49361697,50002758,50356069,50457570,50602334,51118862,51155161,51185596,51709652,51723781,51850344,51874530,52177381,52234600,52253156,52376379,52537552,52667975,52796372,53430750,53520212,53821408,53858196,53980261,54092329,54205934,54651589,54874789,54966356,55332832,55431529,55508132,55741694,56207941,56230052,56992800,57090949,57382775,57699555,57859801,58331637,58467335,58516009,58763925,58862195,58955730,59104746,59304974,59461592,59558414,60469081,60549084,60792320,61432210,61546192,61651141,61725939,61726600,61894131,62249436,62292229,62505349,62588462,62681520,62718181,62736755,62886112,63029211,63201570,63883609,64022415,64116900,65003379,65005592,65150792,65389652,66188329,66346862,66860288,66894291,66911299,66997412,67415008,67963371,68048089,68067812,68290576,68391360,68560549,68765029,68859330,69239466,69442425,69478441,70072862,70160802,70335555,70516710,70634634,70746876,70814174,71094356,71307662,71597509,71800574,72495961,72950784,72992581,73122280,73131291,73275854,73294641,73449952,73696479,73718652,73728935,74071920,74569669,74864139,75024592,75034775,75217824,75284106,75528356,75545989,75837481,75841884,76059092,76225129,76418521,76623027,76698014,76708069,76826898,76940280,77189209,77384975,77764201,77770987,77819091,77955289,78156014,78708452,78737955,79010048,79190341,79379269,79666107,80225881,80333294,80452184,80908775,82069632,82262565,82359699,82362949,82455001,82631196,82638889,82649624,82740651,82932452,83229971,83330910,83987152,84088850,84280921,84402666,84461929,84620052,85093189,85129934,85183081,85988869,86434009,86557815,87037592,87255525,87286595,87506654,87743534,87746736,87760300,88149471,88216862,88474722,88640979,88886304,88893529,89123975,89499589,89582756,90041730,90102121,90508707,90802772,91653667,92057029,92328336,92641775,92861970,92895109,92980827,93072560,93394501,93477481,94084862,94138729,94385509,94453412,94485546,94549669,95203429,95320532,95370459,95517051,95587570,95820819,95933401,96044512,96406862,96869534,96977509,97052372,97090530,97480131,97562462,97917291,97931625,98009449,98023694,98254094,98461419,98500775,98608292,98715078,99029139,99052768,99185029,99418201,99471572,99728089,99997092,...,2273211688713862214938593622753255797413805908480670726541854617204482789855442589220923708553176439516990703351474105322960430211415923253665032082442930951515676946634615182915334528589173556115492234189745768780079320042619331172153198085238500461873856594489582504525639106936089847916134320739642771220206537814472548836532885766913564591005787033090093046148705910892033894194833607185848536387247391832281777316269258852746692364711925471770087494398088793751517649040582882177200898259139528995508662100329597571882947279800323494874192323948142388066520783946751942584097724678111082810637116404566780170161083351763766933826873206252474694772577393688316757033244919475750076284073560866128469675038200863136090939649782294672604542910591090452601156248720400674347407987745711288169171070773539494956149203224858491461666033322516841267730849705024437194079379020508855419228245226193508805964024135634328876134548583184174883661365748419835686595512251208430985201445819222356019952373459649519553337490034071594351060010759150594901277870626106968236383421476385922990709325875124019768287376824653334343274174534898616158097687221596815367000485300028252572364470841603825175483324034243194913197850067190317985901060237647730062042992292104732251229433763427419470591140177649523877755250693742282306475440313321655851232977031974844697361856163980527946250896217141692398895200440933137882255974975986822836537423690178248943544783964506865144582727800835321624898977141398210771821299237695395481149765820220223057207033042539160859943316762107240687198644825734515194413203013010142186943958700790332472970693008737246814351090637253517090823007614209414966309137089976482620019347935721571552093790589978398890939492282838929209074930316884724802417711467018727479406951624326506130790271377309447286421323387503402311929435193712447868888891844591416431874408554261001636302621518746865927985310793051583107086432941210427801655223086510678250263303471928595940471715165121163695445674569428636671128135075838688122548686880356907081688417559976394857252552364016814693929880563996446785251600832341123166594068908058535895437087815569383886231313134830661383772800272766694940087697305243000392763852328729541076413816247301926480054756154897315072828626575906631431633676934085680214828957301518401503718199165914432139371596257641996774330265609282809787274306779631945925909786426841735746298756437398465083687667200012853125977091764096596088745347798667318947289026611035849855514671381460450626404763918434758186551994477546741167215385460557378075045909446823247679844922187510228145222985214299844373124137517841491300046964895166207657057589139823136135900116164482487690614154237207815438668452474200005566910056068205445321486957724429532283613640549671581162262644118916761235572590377279828752299110694200519132081909015919333806785132218571043057868499162112599109311646432447004475699881443756762830675265952319376885252576393790719618355300436645449296738891521999224288349857698963784884379573467768365140964903837441884548156335484736697265440535254498059705705484798876849189753665275450119859028287590288236954412904059026535107652742908798741247641453162318723590568231347905490572173765478444088592244618102436816334003316478605650116341576099826697856708141850331763021573683169999647082268187149150803088978852669945300736981824555589177411418562686401284580504754389166812092746584412423753286160312882020165144300932168590053282331314674417836850535097922704501927879851361418421985827754233896989438485144357005143166273298520914184897910138443412698134455588270107195862238276210666153359559933844875435574485036244204048432674769469657180401544846996767264118526973096709910543280855361134922741178113593934164131757361966600006436}
23771 324784344530574473802921864262400818769159575907367268584092629280825304689562: {95068,498981,594025,712830,760352,855396,1543945,1828981,1852734,2255965,2612830,2707158,2730445,2825893,3135396,3276534,3395821,3822301,4036990,4439941,4655588,4844388,4961869,5246761,5460430,5573965,5614293,5746774,6315638,6552516,6650840,6688758,6888261,7482195,7981008,8025134,8643908,8879134,8907375,8978634,9022340,9356365,9501200,9853293,10536265,10688850,10697269,10826808,11227638,11301668,11401440,11479465,12161536,12180159,12186445,12348440,12630212,12643518,12826620,13580996,13681728,13775358,13891995,14278838,14623734,14628152,14818128,14911581,15391944,15820573,16048916,16145240,16171293,16185865,16420765,16456671,16670394,16729741,17315937,18043160,18163395,18501109,18533065,19020661,19103061,19236445,19374288,19423038,19591275,19704918,19705165,20298555,20398340,20407945,20897360,21617101,21651792,21671461,21796074,21863101,22239678,22601432,22658293,22817678,22983224,23083734,23173909,23449165,23509530,23646198,23688741,23899630,24210158,24358266,24435663,24478008,24489534,25076832,25248421,25426611,25856127,26716765,26949865,26979493,27159704,27229412,27385033,27537759,27834861,27940982,28138998,28211436,28679556,29090075,30209065,30269775,30554667,30959230,31603465,31959381,32060118,32145973,32287760,32339838,32368990,32409195,32498893,33015301,33232861,33399781,34049389,34387945,34569808,34585940,34833693,34908090,35599861,36009565,36250878,36323730,36409993,36999094,37151076,37235296,37326013,37400293,37697421,37924158,38379061,38392431,38582375,38614532,38664541,38745312,38842788,38891034,38899160,38917741,39214549,39736461,39821209,40014133,40236781,40762381,40862665,41191693,41265534,41266238,41503128,41557250,41760181,41770101,41889708,42937165,43006573,43089915,43211478,43340341,43588476,43761555,45369051,45705275,45730633,45962576,45970358,46298850,46343902,46387465,46426990,46430989,46678992,46691019,47093732,47765065,48416228,48632558,48738589,49035198,49046493,49385440,49868700,49999652,50032741,50107273,50252421,50515945,51010693,51055293,51061021,51202765,51450121,51524598,51575029,51707898,51857301,52028893,52095469,52257981,52276676,52302493,52513866,52608421,53193280,53428990,53852918,54010775,54211933,54657229,54827230,54846330,54911102,55025348,55558620,55664958,55712388,56684365,56879893,57006943,57260149,57318078,57736261,58502752,58516861,58964461,58988132,59196169,59262528,59274589,59367500,59754254,59842440,60048253,60339721,60588901,60619134,61443318,62162701,62204781,63831936,63981995,64114788,64268708,64286518,64637065,64812930,64908349,65002261,65293250,65316445,65646518,65671940,65679998,65792676,65815596,65995465,66670344,66793918,66820093,66900265,67276760,67322745,67716021,67841821,67976821,68021238,68093014,68707945,69133792,69166040,69351721,69385165,69439981,69835172,70287565,70395661,71060342,71241000,71604238,71626701,71810928,72318421,72795693,72813838,73488758,74326990,74703913,75004137,75378398,75477973,75686355,75903501,75990400,76157893,76509061,76678293,76778394,76932740,77158250,77303641,77390302,77432233,77564478,77775516,77811795,78022958,78351900,78379734,78390661,78607640,78806328,78892393,79194558,79635694,80146125,80280318,80728021,80732112,80787294,80873773,81256990,81308901,81438490,81737065,82301252,82449534,82525508,82765381,82999248,83262198,83575360,83612541,83746765,84038948,84268760,84345078,85084765,85363220,85489200,85502869,86671172,88316521,88433595,88657119,88867945,88957461,89192388,89206021,89337621,89546414,90345334,90574621,90617828,90823626,91188480,91402850,91435141,91812440,92148315,92319288,92589900,93374154,93539293,93547736,93780740,93882693,93988441,94022280,94179512,94329168,94410445,94796221,94802355,95073865,95143693,95876149,96175350,96331118,97267712,97468942,97508388,97726188,97847689,98084478,98109421,98261972,98291536,98329334,98385565,98762560,99028534,99520293,99776821,99818852,99987134,...,3409817533070793322407890434129883696120708862721006089812781925806724184783163883831385562829764659275486055027211157984440645317123884880497548123664396427273515419951922774373001792883760334173238351284618653170118980063928996758229797127857750692810784891734373756788458660404134771874201481109464156830309806721708823254799328650370346886508680549635139569223058866338050841292250410778772804580871087748422665974403888279120038547067888207655131241597133190627276473560874323265801347388709293493262993150494396357824420919700485242311288485922213582099781175920127913876146587017166624215955674606850170255241625027645650400740309809378712042158866090532475135549867379213625114426110341299192704512557301294704136409474673442008906814365886635678901734373080601011521111981618566932253756606160309242434223804837287737192499049983775261901596274557536655791119068530763283128842367839290263208946036203451493314201822874776262325492048622629753529893268376812646477802168728833534029928560189474279330006235051107391526590016138725892351916805939160452354575132214578884486063988812686029652431065236980001514911261802347924237146530832395223050500727950042378858546706262405737763224986051364792369796775100785476978851590356471595093064488438157098376844150645141129205886710266474285816632876040613423459713160469982483776849465547962267046042784245970791919376344325712538598342800661399706823383962463980234254806135535267373415317175946760297716874091701252982437348465712097316157731948856543093221724648730330334585810549563808741289914975143160861030797967238601772791619804519515213280415938051185498709456039513105870221526635955880275636234511421314122449463705634964723930029021903582357328140685884967598336409238424258393813612395475327087203626567200528091219110427436489759196185407065964170929631985081255103467894152790568671803333337766887124647811612831391502454453932278120298891977966189577374660629649411815641702482834629766017375394955207892893910707572747681745543168511854142955006692202613758032183823030320535360622532626339964592285878828546025222040894820845994670177877401248511684749891103362087803843155631723354075829346969702245992075659200409150042410131545957864500589145778493094311614620724370952889720082134232345972609242939863859947147450515401128520322243435952277602255577298748871648209057394386462995161495398413924214680911460169447918888864679640262603619448134656097697625531500800019279688965637646144894133118021698000978420933539916553774783272007072190675939607145877652137279827991716320111750823078190836067112568864170234871519767383281265342217834477821449766559686206276762236950070447342749311485586383709734704203850174246723731535921231355811723158002678711300008350365084102308167982230436586644298425420460824507371743393966178375141853358885565919743128448666041300778698122863523879000710177698327856564586802748743168898663967469648670506713549822165635144246012898928479065327878864590686079427532950654968173945108337282998836432524786548445677326569360201652547711447355756162826822234503227105045898160802881747089558558227198315273784630497913175179788542431385432355431619356088539802661479114363198111871462179743478085385852347021858235858260648217666132888366927153655224501004974717908475174512364149740046785062212775497644532360524754999470623402280723726204633468279004917951105472736833383766117127844029601926870757131583750218139119876618635629929240469323030247716451398252885079923496972011626755275802646884056752891819777042127632978741631350845484157727716535507714749409947781371277346865207665119047201683382405160793793357414315999230039339900767313153361727554366306072649012154204485770602317270495150896177790459645064865814921283041702384111767170390901246197636042949900009654}
23772 325930186966302793004074915177233677895301318561742851948257876701059786728244: {118835,142602,261371,451307,665308,688547,735971,807602,950440,1069245,1092362,1140528,1257107,1283094,1376978,1966187,2390771,2437907,2470312,2579267,2779101,3284987,3519827,3609544,3848267,3919245,3932042,4060737,4082627,4180528,4223147,4368712,4503971,4703094,4781138,4914801,4971371,5063882,5251427,5484587,5670971,5819485,6055485,6182867,6459184,6475442,6983382,7266582,7342667,7485724,7883402,8190645,8313550,8620161,8727827,8736688,8918344,9184348,9371771,9473457,9828774,9976260,10033137,10105787,10243187,10641344,10746371,10804885,10968242,11157347,11247818,11277925,11704307,11876500,11971512,12037701,12113771,12799633,12965862,13066667,13137724,13202507,13247771,13318701,13467951,13533510,13880627,14127085,14196467,14251800,14435744,14591498,14826971,14970184,15201920,15435550,15545627,15787765,15948971,16033275,16172771,16240212,16351667,16532402,16575107,16841457,16858024,16887587,16952502,16976245,17102160,17110547,17288771,17511371,17689307,18242304,18285190,18367144,18522660,18577067,18621371,18741938,18945318,18965277,19019747,19239930,19498312,19757504,19776253,19882108,20061145,20110321,20118218,20181550,20371494,20522592,20663037,20667722,20826371,20942258,21001907,21418257,21561724,21935601,21942228,22227192,22312778,22553950,22859978,23087916,23228771,23445971,23489387,23764741,23879771,24073374,24139667,24217860,24788147,25003907,25005591,25470748,25497925,25563947,25832384,25897384,26036771,26079707,26121700,26273224,26402738,27064740,27107771,27577427,27705347,27747971,28251790,28729030,28869056,28980587,29022971,29061432,29134557,29277107,29557377,29615507,29652904,30190802,30248582,30597510,30778312,30921971,31346040,31528264,31536842,31584988,31802627,31928147,32477688,32580884,32637344,32652712,32694111,33012971,33179387,33262547,33359517,33387227,33435776,33902148,33949630,34036765,34218122,34226517,34299347,34474836,34625601,35042747,35125187,35264295,35469297,35495771,35742467,35849445,35865707,36315237,36537399,36618962,36717012,36734301,36767267,37113148,37150898,37379747,37502027,37518664,37615248,37705667,37947722,37949771,38193587,38239408,38355971,38720867,39537482,39771371,40217254,40359700,40739556,40776371,40844118,41136947,41576771,41649098,41816267,41911473,42174971,42208497,42214787,42317154,42572771,42612508,42746824,43009427,43019334,43119784,43212260,43232425,43489202,43524227,44799242,45295787,45491627,45726371,46366538,46438845,46444924,46544120,46701371,46887818,47516507,47668658,47710067,48090177,48188498,48268165,48289547,48334504,48431640,48443771,48509757,48553485,48623950,48790307,48867227,49020971,49485578,49534768,50131787,50263228,50565544,50741771,50931971,51083987,51159947,51189908,51660416,51790384,51854712,51878910,52068938,52362135,52408667,52981948,53236307,54134771,54376317,54485595,54656747,54917147,55020712,55214267,55337504,55405778,55498641,55658987,55693468,55726614,55852944,56360771,56581787,56682698,56886237,57096371,57133067,57453220,57615304,57645971,57792227,57865307,57921798,57956018,58117968,58264182,58336551,58348740,58464338,58521587,58557971,58867165,59320187,59501147,59645771,60492068,60520285,60997298,61502162,61657067,61731800,61898301,61899357,62238656,62254692,62298227,62333771,62335875,62499565,62653307,62724227,62834562,63042971,63713747,63766922,64241267,64817217,65345845,65380264,65382714,65395324,65986667,66194771,66269642,66333347,66491600,66519122,66713771,66768458,67003228,67266698,67764362,68054747,68073724,68088971,68601371,68699464,68781685,68805827,68943864,68955537,69143068,69448275,69485267,69515853,69640485,69677308,70018488,70094027,70640598,71136371,71478482,71604587,71637971,72137771,72463442,72624342,72948837,72999827,73128440,73329947,73552797,73593467,73735165,73790771,74078160,74209375,74219944,74282771,74283184,74413667,74803050,74915762,74999478,75261371,75553547,75780347,76265027,76380242,76424104,76747907,77196971,77286897,77561847,77676371,77803907,77963147,77994971,78415014,78770799,79016704,79292867,79387307,79418771,79789920,80143485,80234027,80335885,80514971,80779377,80825512,80826371,81854269,81924424,82089925,82186322,82217771,82240845,82269495,82366653,82407073,82494107,82538022,82647347,82666418,82677971,82830971,82939708,83288771,83337930,83385482,83471387,83497437,83562587,83568582,84095950,84319787,84342218,84470627,85058258,85101971,85109248,85486384,85977117,86005094,86176067,86417240,86457550,86472587,86915867,86961362,87063227,87198602,87293965,87621371,87723568,87754128,87831457,88059971,88482198,88893792,88931771,88969969,89051250,89508971,89631381,89681507,89763660,89798738,89939771,90288028,90482867,90504842,90694984,90928701,90966347,91051427,91249667,91926371,92164977,92514707,92932787,93082802,93432107,93846227,94176227,94669067,94968971,94988000,95179082,95240771,95411282,95502268,95747904,96165925,96172182,96293147,96403062,96427187,96429777,96987971,97014587,97060924,97219395,97494602,97624547,97939875,98259550,98335187,98362693,98469777,98507910,98519997,98689014,98723394,99117947,99454907,99609971,99764747,...,5114726299606189983611835651194825544181063294081509134719172888710086277174745825747078344244646988913229082540816736976660967975685827320746322185496594640910273129927884161559502689325640501259857526926927979755178470095893495137344695691786626039216177337601560635182687990606202157811302221664196235245464710082563234882198992975555520329763020824452709353834588299507076261938375616168159206871306631622633998961605832418680057820601832311482696862395699785940914710341311484898702021083063940239894489725741594536736631379550727863466932728883320373149671763880191870814219880525749936323933511910275255382862437541468475601110464714068068063238299135798712703324801068820437671639165511948789056768835951942056204614212010163013360221548829953518352601559620901517281667972427850398380634909240463863651335707255931605788748574975662892852394411836304983686678602796144924693263551758935394813419054305177239971302734312164393488238072933944630294839902565218969716703253093250301044892840284211418995009352576661087289885024208088838527875208908740678531862698321868326729095983219029044478646597855470002272366892703521886355719796248592834575751091925063568287820059393608606644837479077047188554695162651178215468277385534707392639596732657235647565266225967711693808830065399711428724949314060920135189569740704973725665274198321943400569064176368956187879064516488568807897514200992099560235075943695970351382209203302901060122975763920140446575311137551879473656022698568145974236597923284814639832586973095495501878715824345713111934872462714741291546196950857902659187429706779272819920623907076778248064184059269658805332289953933820413454351767131971183674195558452447085895043532855373535992211028827451397504613857636387590720418593212990630805439850800792136828665641154734638794278110598946256394447977621882655201841229185853007705000006650330686971717419247087253681680898417180448337966949284366061990944474117723462553724251944649026063092432811839340866061359121522618314752767781214432510038303920637048275734545480803040933798939509946888428818242819037833061342231268992005266816101872767527124836655043131705764733447585031113744020454553368988113488800613725063615197318936796750883718667739641467421931086556429334580123201348518958913864409795789920721175773101692780483365153928416403383365948123307472313586091579694492742243097620886322021367190254171878333297019460393905429172201984146546438297251200028919533448456469217341199677032547001467631400309874830662174908010608286013909410718816478205919741987574480167626234617286254100668853296255352307279651074921898013326751716732174649839529309415143355425105671014123967228379575564602056305775261370085597303881847033717584737004018066950012525547626153462251973345654879966447638130691236761057615090949267562712780038328348879614692672999061951168047184295285818501065266547491784846880204123114753347995951204473005760070324733248452716369019348392718597991818296886029119141299425982452260917662505924498254648787179822668515989854040302478821567171033634244240233351754840657568847241204322620634337837340797472910676945746869762769682813647078148533147429034132809703992218671544797167807193269615217128078778520532787353787390972326499199332550390730482836751507462076862712761768546224610070177593319163246466798540787132499205935103421085589306950202418507376926658209105250075649175691766044402890306135697375625327208679814927953444893860703984545371574677097379327619885245458017440132913703970326085129337729665563191449468112447026268226236591574803261572124114921672056916020297811497678570802525073607741190690036121473998845059009851150969730042591331549459108973518231306728655903475905742726344266685689467597298722381924562553576167650755586351869296454064424850014481}
23773 327080045704628357190665788242384346300766851578112272428495204519955440011339: {23773,190136,213903,831635,997962,1188050,1211403,1425660,1520704,1638543,1710792,1924641,2065467,2161523,3087890,3158351,3657962,3705468,3822623,4013243,4511930,4962287,5225660,5247203,5414316,5460890,5651786,5864027,5898063,6270792,6553068,6791642,7054641,7171707,7595823,7644602,7803551,8073980,8879882,9311176,9357155,9688776,9713163,9923738,10475073,10493522,10899873,10920860,11147930,11219087,11228586,11480435,11493548,11825103,12470325,12631276,12642227,13098911,13105032,13301680,13377516,13776522,14743161,14750771,14845625,14919251,14964390,15962016,16050268,16071251,16422155,16452363,16871727,16911647,17061023,17287816,17758268,17814750,17957268,18044680,18712730,19002400,19022267,19448793,19706586,20300265,21072530,21377700,21394538,21653616,21864947,21887247,22455276,22478963,22603336,22660211,22802880,22958930,22989071,23153325,24323072,24360318,24372890,24696880,24798603,24852635,25260424,25287036,25428753,25547483,25653240,25946291,26931023,26952155,26981771,27161992,27363456,27387347,27427785,27550716,27587231,27783990,28112907,28417977,28557676,28571123,28859895,29247468,29256304,29636256,29823162,29839043,30153551,30177327,30272325,30557241,30783888,31001583,31413387,31641146,31798211,31838435,32097832,32290480,32342586,32371730,32652125,32828831,32841530,32913342,33235667,33340788,33459482,33469167,33830925,34289967,34631874,36086320,36110061,36119567,36326790,37002218,37066130,37329167,37403471,37729811,38041322,38206122,38472890,38748576,38846076,38921027,39018083,39182550,39409836,39410330,39481235,39604107,39753683,40240187,40597110,40726105,40796680,40815890,41195171,41763707,41794720,42072563,42292691,42313007,42377685,43010207,43093545,43234202,43303584,43342922,43592148,43726202,43797263,44244851,44479356,45202864,45286203,45316586,45372873,45635356,45896265,45966448,46004411,46167468,46344467,46347818,46391435,46898330,46949771,47019060,47292396,47305263,47377482,47799260,48143123,48173723,48420316,48716532,48871326,48956016,48979068,50111507,50153664,50413391,50449625,50496842,50853222,50924445,51015011,51220403,51327183,51579407,51686891,51712254,52099871,53265635,53433530,53562947,53899730,53958986,53959883,54015325,54319408,54458824,54770066,54872987,54928443,55075518,55669722,55726347,55881964,56277996,56422872,56921583,57011951,57207731,57359112,57741167,57950687,58056155,58180150,58675451,58797647,59129603,59201171,59306223,60053327,60112031,60325881,60344843,60418130,60539550,60952307,61109334,61266177,61918460,62083787,62473647,62829035,62985731,63206930,63475731,63913763,63918762,63987385,64120236,64291946,64529001,64575520,64594907,64679676,64737980,64818390,64942451,64997786,65233803,65376203,66030602,66227435,66465722,66799562,66871091,67198863,67717007,68098778,68173103,68233763,68775890,69002783,69139616,69171880,69549807,69616835,69667386,69816180,70051787,70331727,70722323,71199722,71502987,71683871,71816525,72019130,72282747,72501756,72647460,72819986,72935925,73998188,74228367,74302152,74470592,74652026,74800586,75394842,75615085,75848316,76709867,76758122,76784862,77164750,77229064,77310203,77329082,77490624,77510747,77685576,77782068,77798320,77818365,77835482,78103407,78429098,79358111,79472922,79642418,79693331,79855907,80028266,80336243,80473562,81524762,81725330,81744155,81959327,82383386,82531068,82532476,82772387,83006256,83108667,83114500,83520362,83540202,83589921,83754035,83779416,85024047,85092155,85194323,85312271,85510127,85874330,86013146,86179830,86398187,86422956,86428835,86680682,86882697,86934027,87096635,87176952,87396273,87523110,87696507,88173851,89574793,90065363,90491891,90738102,91410550,91443023,91461266,91495947,91925152,91940716,92253243,92393651,92597700,92687804,92774930,92853980,92861978,93357984,93382038,93547211,93660371,94187464,94251843,95287691,95405843,95530130,95650383,96191123,96832456,97139231,97265116,97477178,98070396,98074071,98092986,98402591,98573243,98767763,98770880,99404463,99700847,99737400,99778683,99785267,99999304,...,6819635066141586644815780868259767392241417725442012179625563851613448369566327767662771125659529318550972110054422315968881290634247769760995096247328792854547030839903845548746003585767520668346476702569237306340237960127857993516459594255715501385621569783468747513576917320808269543748402962218928313660619613443417646509598657300740693773017361099270279138446117732676101682584500821557545609161742175496845331948807776558240077094135776415310262483194266381254552947121748646531602694777418586986525986300988792715648841839400970484622576971844427164199562351840255827752293174034333248431911349213700340510483250055291300801480619618757424084317732181064950271099734758427250228852220682598385409025114602589408272818949346884017813628731773271357803468746161202023042223963237133864507513212320618484868447609674575474384998099967550523803192549115073311582238137061526566257684735678580526417892072406902986628403645749552524650984097245259507059786536753625292955604337457667068059857120378948558660012470102214783053180032277451784703833611878320904709150264429157768972127977625372059304862130473960003029822523604695848474293061664790446101001455900084757717093412524811475526449972102729584739593550201570953957703180712943190186128976876314196753688301290282258411773420532948571633265752081226846919426320939964967553698931095924534092085568491941583838752688651425077196685601322799413646767924927960468509612271070534746830634351893520595433748183402505964874696931424194632315463897713086186443449297460660669171621099127617482579829950286321722061595934477203545583239609039030426560831876102370997418912079026211740443053271911760551272469022842628244898927411269929447860058043807164714656281371769935196672818476848516787627224790950654174407253134401056182438220854872979518392370814131928341859263970162510206935788305581137343606666675533774249295623225662783004908907864556240597783955932379154749321259298823631283404965669259532034750789910415785787821415145495363491086337023708285910013384405227516064367646060641070721245065252679929184571757657092050444081789641691989340355754802497023369499782206724175607686311263446708151658693939404491984151318400818300084820263091915729001178291556986188623229241448741905779440164268464691945218485879727719894294901030802257040644486871904555204511154597497743296418114788772925990322990796827848429361822920338895837777729359280525207238896269312195395251063001600038559377931275292289788266236043396001956841867079833107549566544014144381351879214291755304274559655983432640223501646156381672134225137728340469743039534766562530684435668955642899533119372412553524473900140894685498622971172767419469408407700348493447463071842462711623446316005357422600016700730168204616335964460873173288596850840921649014743486787932356750283706717771131839486256897332082601557396245727047758001420355396655713129173605497486337797327934939297341013427099644331270288492025797856958130655757729181372158855065901309936347890216674565997672865049573096891354653138720403305095422894711512325653644469006454210091796321605763494179117116454396630547569260995826350359577084862770864710863238712177079605322958228726396223742924359486956170771704694043716471716521296435332265776733854307310449002009949435816950349024728299480093570124425550995289064721049509998941246804561447452409266936558009835902210945473666767532234255688059203853741514263167500436278239753237271259858480938646060495432902796505770159846993944023253510551605293768113505783639554084255265957483262701690968315455433071015429498819895562742554693730415330238094403366764810321587586714828631998460078679801534626306723455108732612145298024308408971541204634540990301792355580919290129731629842566083404768223534340781802492395272085899800019308}
23774 328233934731666700482893956792622972417887319105463070270587378641113450320856: {166369,237670,285204,308893,522742,736033,902614,1330616,1377094,1471942,1496943,1615204,1782075,1900880,2138490,2184724,2281056,2296669,2438113,2514214,2566188,2753956,3567073,3932374,4270333,4551133,4631835,4781542,4875814,4940624,4971793,5158534,5486943,5558202,6508669,6532075,6569974,6767895,7039654,7219088,7696534,7838490,7864084,8121474,8147279,8165254,8191335,8361056,8446294,8477679,8737424,9007942,9406188,9562276,9829602,9942742,10092475,10127764,10187463,10502854,10792993,10969174,11341942,11466903,11638970,12110970,12160273,12365734,12705169,12918368,12950884,13248913,13319823,13384669,13651075,13926973,13966764,14062369,14366935,14533164,14603233,14685334,14873233,14885607,14971448,15126839,15740283,15766804,15789095,16381290,16627100,16721895,16842879,16889053,17240322,17423869,17455654,17473376,17836688,18368696,18622993,18743542,18946914,19551613,19657548,19777919,19952520,20062835,20066274,20211574,20486374,20664783,21282688,21492742,21609770,21936484,22054369,22102871,22197835,22314694,22446585,22495636,22555850,22577953,22708669,23408614,23491453,23753000,23766743,23943024,24075402,24227542,25437073,25599266,25931724,26082013,26133334,26275448,26405014,26495542,26637402,26722125,26935902,27067020,27110173,27750433,27761254,28069095,28085603,28254170,28392934,28503600,28871488,29025553,29182996,29559879,29653942,29660413,29787169,29940368,30403840,30871100,31091254,31575530,31599271,31608795,31897942,32066550,32091807,32345542,32480424,32703334,32807713,33057553,33064804,33150214,33682914,33716048,33775174,33905004,33952490,34204320,34221094,34438395,34577542,35022742,35378614,35697095,35910013,36033169,36484608,36540477,36559335,36570380,36734288,36770593,37045320,37154134,37242742,37483876,37890636,37930554,37993873,38039494,38479860,38481169,38996624,39088669,39209953,39515008,39552506,39764216,40122290,40177633,40220642,40236436,40363100,40742988,41045184,41326074,41335444,41652742,41675985,41884516,42003814,42218653,42836514,43123448,43290769,43871202,43883869,43884456,44454384,44625556,44734743,45107900,45719956,45769693,46175832,46457542,46705693,46891942,46978774,47461719,47529482,47651471,47759542,48146748,48279334,48435720,48448273,48513879,48557595,49025533,49140769,49255933,49262295,49370013,49576294,50007814,50011182,50174653,50189223,50860669,50941496,50974753,50995850,51127894,51664768,51794768,51947811,52073542,52159414,52243400,52546448,52805476,54129480,54215542,54490185,55154854,55367869,55410694,55495942,55503327,55599195,56503580,57028369,57044195,57061983,57138493,57309183,57458060,57709335,57738112,57961174,58045942,58122864,58269114,58554214,58563553,58773825,59114754,59115495,59231014,59305808,59749075,60300769,60381604,60497164,60525395,60839869,60895665,61195020,61223835,61556624,61843942,62339773,62692080,63056528,63073684,63169976,63508369,63605254,63856294,64851303,64955376,65014383,65161768,65192593,65274688,65305424,65388222,65506333,65589303,66025942,66358774,66525094,66719034,66754813,66774454,66871552,67575431,67804296,67899260,67974879,68073530,68095633,68300833,68436244,68453034,68598694,68949672,69251202,69521727,69830653,69852455,70085494,70250374,70347495,70528590,70938594,70991542,71066223,71484934,71645053,71698890,71731414,72630474,72841693,73074798,73139233,73237924,73306989,73434024,73468602,73534534,73830973,74226296,74301796,74715169,74759494,75004054,75037328,75230496,75411334,75745263,75895444,75899542,76279833,76387174,76478816,76659169,76711942,77398075,77441734,77568381,77620369,78002833,79074964,79426813,79542742,79991869,80150295,80434508,80554333,80719400,80849595,80922475,80938479,81479112,81552742,81688236,81856669,82155099,82273894,82414031,82613277,82686433,82870033,83153542,83298196,83327773,83504583,83632534,83692669,83822946,84147169,84349942,84416994,84429574,84599869,84634308,84728399,85145542,85225016,85493648,85857853,86018854,86038668,86239568,86424520,86464850,86836369,86978404,87048454,87270225,87499391,87630493,87718369,88069153,89598484,89977873,90591574,90627195,90809325,90983254,91089373,91452742,91484183,91664001,91936093,92497735,92733076,92877690,92889848,93088240,93402742,93690769,93775636,94810395,95033014,95337316,95413693,95420134,95878143,96180354,96294359,96376996,96437919,96536330,96579094,96669008,96863280,96887542,97019514,97025053,97106970,97227585,97247900,97496679,97580614,97661533,97734454,98041942,98214673,98529169,98971156,99045903,99069536,99310369,99698583,...,10229452599212379967223671302389651088362126588163018269438345777420172554349491651494156688489293977826458165081633473953321935951371654641492644370993189281820546259855768323119005378651281002519715053853855959510356940191786990274689391383573252078432354675203121270365375981212404315622604443328392470490929420165126469764397985951111040659526041648905418707669176599014152523876751232336318413742613263245267997923211664837360115641203664622965393724791399571881829420682622969797404042166127880479788979451483189073473262759101455726933865457766640746299343527760383741628439761051499872647867023820550510765724875082936951202220929428136136126476598271597425406649602137640875343278331023897578113537671903884112409228424020326026720443097659907036705203119241803034563335944855700796761269818480927727302671414511863211577497149951325785704788823672609967373357205592289849386527103517870789626838108610354479942605468624328786976476145867889260589679805130437939433406506186500602089785680568422837990018705153322174579770048416177677055750417817481357063725396643736653458191966438058088957293195710940004544733785407043772711439592497185669151502183850127136575640118787217213289674958154094377109390325302356430936554771069414785279193465314471295130532451935423387617660130799422857449898628121840270379139481409947451330548396643886801138128352737912375758129032977137615795028401984199120470151887391940702764418406605802120245951527840280893150622275103758947312045397136291948473195846569629279665173946190991003757431648691426223869744925429482583092393901715805318374859413558545639841247814153556496128368118539317610664579907867640826908703534263942367348391116904894171790087065710747071984422057654902795009227715272775181440837186425981261610879701601584273657331282309469277588556221197892512788895955243765310403682458371706015410000013300661373943434838494174507363361796834360896675933898568732123981888948235446925107448503889298052126184865623678681732122718243045236629505535562428865020076607841274096551469090961606081867597879019893776857636485638075666122684462537984010533632203745535054249673310086263411529466895170062227488040909106737976226977601227450127230394637873593501767437335479282934843862173112858669160246402697037917827728819591579841442351546203385560966730307856832806766731896246614944627172183159388985484486195241772644042734380508343756666594038920787810858344403968293092876594502400057839066896912938434682399354065094002935262800619749661324349816021216572027818821437632956411839483975148960335252469234572508201337706592510704614559302149843796026653503433464349299679058618830286710850211342028247934456759151129204112611550522740171194607763694067435169474008036133900025051095252306924503946691309759932895276261382473522115230181898535125425560076656697759229385345998123902336094368590571637002130533094983569693760408246229506695991902408946011520140649466496905432738038696785437195983636593772058238282598851964904521835325011848996509297574359645337031979708080604957643134342067268488480466703509681315137694482408645241268675674681594945821353891493739525539365627294156297066294858068265619407984437343089594335614386539230434256157557041065574707574781944652998398665100781460965673503014924153725425523537092449220140355186638326492933597081574264998411870206842171178613900404837014753853316418210500151298351383532088805780612271394751250654417359629855906889787721407969090743149354194758655239770490916034880265827407940652170258675459331126382898936224894052536452473183149606523144248229843344113832040595622995357141605050147215482381380072242947997690118019702301939460085182663098918217947036462613457311806951811485452688533371378935194597444763849125107152335301511172703738592908128849700028962}
23775 329391868081921004680966865971248917242360601733180438435516218809500296847691: {47546,356505,380272,427806,784113,1164289,1353921,1663270,1995924,2019005,2065641,2207913,2376100,2422806,2730905,2851320,2874113,3041408,3207735,3277086,3421584,3442445,3771321,3849282,4130934,4323046,4440689,5864521,5898561,6006473,6175780,6316702,6861149,7172313,7313721,7315924,7410936,7645246,7737801,8026486,8337303,9023860,9830105,9854961,9924574,10451320,10494406,10559481,10828632,10921780,11303572,11544801,11728054,11757735,11796126,11952845,12182211,12247881,12541584,12659705,12669441,13100017,13106136,13258921,13511913,13583284,14109282,14343414,14744403,14914113,15191646,15289204,15607102,15754281,16072609,16147960,16188605,16453761,16674457,17012913,17458455,17759764,18166455,18548601,18622352,18714310,19377552,19426326,19708505,19847476,20783875,20950146,20987044,21799746,21841720,22028001,22295860,22438174,22457172,22480861,22960870,22987096,22991017,23650206,24571935,24940650,25262552,25284454,25860483,26183481,26197822,26210064,26289593,26603360,26755032,27420605,27553044,28115313,28119545,28420371,28590209,29486322,29501542,29691250,29838502,29928780,30099411,30156097,30317361,30729561,31924032,32100536,32142502,32239113,32414655,32844310,32904726,33472041,33743454,33823294,33833775,34055153,34122046,34575632,34793689,35112921,35516536,35539177,35605889,35629500,35811197,35914536,36089360,36113103,36341313,36478745,37425460,37733017,38004800,38044534,38398899,38588875,38897586,39200001,39413172,39607521,39743313,39956103,40403853,40528457,40600530,41331005,41641881,42145060,42381255,42589401,42686761,42755400,42789076,43307232,43729894,43774494,43800961,44480913,44573809,44910552,44957926,45184121,45206672,45320422,45605760,45644849,45712975,45917860,45978142,46306650,46636881,46854845,47363295,47846913,48099825,48438161,48518313,48646144,48720636,48745780,49055001,49177129,49393760,49597206,49705270,49725321,50006281,50295545,50453875,50520848,50524371,50574072,50662761,50857506,50928735,51069689,51094966,51306480,51331641,51669305,51866313,51892582,52355645,52534113,52617329,53067921,53438989,53567473,53862046,53904310,53963542,54323984,54726912,54774694,54855570,55101432,55174462,55273729,55486093,55567980,55731201,55781945,55864113,56225814,56384875,56835954,56895831,56956841,57016547,57016777,57059241,57115352,57142246,57149945,57719790,58494936,58512608,58680409,58771889,59272512,59328759,59646324,59678086,59801597,60183435,60307102,60309953,60330963,60354654,60544650,60957481,61114482,61567776,61989111,62003166,62089033,62479113,62826774,63005721,63282292,63596422,63676870,64195664,64254771,64580960,64685172,64743460,64948009,65304250,65634137,65657662,65683060,65806803,65826684,66006845,66471334,66486221,66681576,66918964,66938334,67661850,68239561,68579934,68882993,69263748,69686313,70337913,70395817,70468161,70629475,71294223,71639313,71822575,72172640,72220122,72239134,72419001,72653580,73067521,73994201,74004436,74132260,74364441,74571889,74658334,74806942,75011721,75016773,75459622,75477005,75621455,76082644,76412244,76493775,76522049,76691841,76945780,77445341,77497152,77692152,77842054,78036166,78110313,78239121,78365100,78819672,78820660,78842105,78905789,78962470,79208214,79507366,80480374,80887481,81194220,81278617,81323313,81452210,81593360,81631780,81759689,82390342,82732281,83116041,83243913,83527414,83589440,84145126,84585382,84626014,84755370,84874075,85545305,86020414,86187090,86405521,86468404,86607168,86685844,86941761,87068913,87184296,87403671,87452404,87594526,87831321,87960649,88489702,88672131,88846521,88958712,89069017,89382689,89582339,90405728,90572406,90633172,90745746,90806129,91270712,91547405,91792530,91932896,92008822,92334936,92688934,92695636,92718409,92765913,92782870,92877245,93796660,93798557,93899542,94038120,94584792,94610526,94754964,94869305,95295757,95407881,95598520,95784441,96286246,96347446,96840632,97433064,97463569,97742652,97864253,97912032,97958136,98082333,98843705,99038913,99538161,99787641,...,15344178898818569950835506953584476632543189882244527404157518666130258831524237477241235032733940966739687247622450210929982903927057481962238966556489783922730819389783652484678508067976921503779572580780783939265535410287680485412034087075359878117648532012804681905548063971818606473433906664992588705736394130247689704646596978926666560989289062473358128061503764898521228785815126848504477620613919894867901996884817497256040173461805496934448090587187099357822744131023934454696106063249191820719683469177224783610209894138652183590400798186649961119449015291640575612442659641577249808971800535730825766148587312624405426803331394142204204189714897407396138109974403206461313014917496535846367170306507855826168613842636030489040080664646489860555057804678862704551845003917283551195141904727721391590954007121767794817366245724926988678557183235508914951060035808388434774079790655276806184440257162915531719913908202936493180464714218801833890884519707695656909150109759279750903134678520852634256985028057729983261869655072624266515583625626726222035595588094965604980187287949657087133435939793566410006817100678110565659067159388745778503727253275775190704863460178180825819934512437231141565664085487953534646404832156604122177918790197971706942695798677903135081426490196199134286174847942182760405568709222114921176995822594965830201707192529106868563637193549465706423692542602976298680705227831087911054146627609908703180368927291760421339725933412655638420968068095704437922709793769854443919497760919286486505636147473037139335804617388144223874638590852573707977562289120337818459761871721230334744192552177808976415996869861801461240363055301395913551022586675357341257685130598566120607976633086482354192513841572909162772161255779638971892416319552402376410485996923464203916382834331796838769183343932865647965605523687557559023115000019950992060915152257741261761045042695251541345013900847853098185972833422353170387661172755833947078189277298435518022598184077364567854944258303343643297530114911761911144827203636442409122801396818529840665286454728457113499184026693806976015800448305618302581374509965129395117294200342755093341232061363660106964340466401841175190845591956810390252651156003218924402265793259669288003740369604045556876741593229387369762163527319305078341450095461785249210150097844369922416940758274739083478226729292862658966064101570762515634999891058381181716287516605952439639314891753600086758600345369407652023599031097641004402894200929624491986524724031824858041728232156449434617759225962723440502878703851858762302006559888766056921838953224765694039980255150196523949518587928245430066275317013042371901685138726693806168917325784110256791911645541101152754211012054200850037576642878460386755920036964639899342914392073710283172845272847802688138340114985046638844078018997185853504141552885857455503195799642475354540640612369344260043987853613419017280210974199745358149107058045178155793975454890658087357423898277947356782752987517773494763946361539468005547969562120907436464701513100902732720700055264521972706541723612967861903013512022392418732030837240609288309048440941234445599442287102398429111976656014634391503421579808845651384236335561598362061362172916979497597997651172191448510254522386230588138285305638673830210532779957489739400395622361397497617805310263256767920850607255522130779974627315750226947527075298133208670918407092126875981626039444783860334681582111953636114724031292137982859655736374052320398741111910978255388013188996689574348404337341078804678709774724409784716372344765016170748060893434493035712407575220823223572070108364421996535177029553452909190127773994648377326920554693920185967710427717228179032800057068402791896167145773687660728502952266759055607889362193274550043443}
23776 330553859838448416123314682389030267972229537344506262375427170228903750418137: {71319,332738,475340,546319,570408,617786,641709,688663,1045484,1472066,1805228,2108143,2494905,2532583,2661232,2673919,2754188,2943884,2970125,2993886,3230408,3520423,3564150,3634209,3801760,3942703,4083319,4276980,4369448,4562112,4593338,4876226,4915629,5028428,5132376,5345623,5507912,5625343,5773923,6196401,6484569,7134146,7436503,7719725,7864748,8406703,8540666,9102266,9144905,9263670,9475053,9563084,9751628,9786583,9881248,9943586,10317068,10336519,10473823,10973886,11116404,11159263,11279825,11467869,12039729,13017338,13064150,13139948,13535790,13611943,13652225,14079308,14129465,14289103,14438176,14886861,15234103,15393068,15638023,15676980,15728168,15741609,16242948,16294558,16330508,16382670,16577983,16722112,16892588,16955358,16979105,17474848,17592081,17694189,17781319,18015884,18812376,19111505,19124552,19244143,19659204,19885484,20113709,20184950,20255528,20374926,21005708,21163923,21515121,21585986,21938348,22104733,22199705,22683884,22787469,22933806,23277940,23410653,23840623,24221940,24320546,24731468,24809345,24878863,25410338,25836736,25901768,26233805,26298919,26497826,26639646,26769338,27302150,27853946,27869825,27933528,28071465,28087969,28124738,28733870,29066328,29139489,29206466,29366983,29370668,29746466,29771214,29942896,30253678,30633103,31076969,31425219,31480566,31515103,31533608,31578190,31601933,31892023,32017519,32699619,32762580,33254200,33268519,33393223,33443790,33657261,33685758,33778106,34441305,34480644,34847738,34911308,34946752,35131519,35475309,35673376,35872183,36737392,36855703,37245986,37344593,37410975,37468063,37487084,37712503,37893828,37926681,39103226,39296733,39315096,39555838,39905040,40125670,40132548,40423148,40502863,40972748,41329566,41823919,42565376,42985484,43017319,43219540,43611319,43872968,44108738,44205742,44229483,44252313,44321743,44395670,44536875,44629388,44757753,44793919,44893170,44991272,45111700,45155906,45417338,46086463,46781825,46817228,46982906,47506000,47533486,47602783,47718919,47886048,48150804,48213753,48455084,48876319,49266465,49357089,49567303,49975933,50484583,50615181,50734941,50874146,51169519,51183069,51198532,51283423,51863448,52164026,52266668,52418503,52550896,52681325,52810028,52991084,53274804,53444250,53486345,53871804,54107623,54134040,54220346,55500866,55522508,55669519,56138190,56171206,56508340,56666143,56785868,57007200,57066801,57397325,57742976,57876319,58051106,58346379,58365992,59119758,59307884,59320826,59403943,59574338,59880736,60162463,60486463,60594319,60807680,60900795,60932225,61025023,61742200,61775983,62182508,62736319,63151060,63198542,63217590,63795884,63796519,64133100,64183614,64691084,64744543,64960848,65406668,65594841,65615426,65661741,66115106,66129608,66300428,67365828,67432096,67436889,67550348,67553623,67810008,67904980,67980633,68408640,68442188,68876790,68967213,69155084,69397183,69459975,70045484,70107823,70757228,71394190,71418223,71820026,71918983,72066338,72517519,72969216,73080954,73118670,73140760,73468576,73541186,73608103,74090640,74308268,74395809,74485484,74557905,74967752,75568663,75781272,75860263,75861108,75957319,75987746,76078988,76286259,76642449,76923919,76959720,76962338,77838873,77883319,77993248,78177338,78419906,79030016,79102865,79105012,79308919,79528432,79861873,79874623,80244580,80344063,80355266,80441284,80472872,80726200,80793069,80856465,80929325,80945313,81485976,82090368,82103825,82162041,82283355,82480303,82652148,82670888,82761693,83305484,83351970,83648705,83769032,84007628,84338721,84437306,84488023,84735553,84849319,85209463,85253931,85673028,85713369,86104783,86246896,86579685,86581538,86992903,87742404,87767738,87768912,88747543,88908768,89251112,89469486,89517129,89700319,90215800,90460653,90531981,90816975,91325503,91439912,91539386,91671723,92170423,92351664,92505545,92665325,92915084,93004749,93008143,93411386,93507319,93783884,93921319,93957548,94240161,94923438,95058964,95103305,95302942,95394633,95515305,95519084,96182225,96293496,96447943,96558668,96871440,96896546,97027758,97088743,97115190,97566319,97793437,97956375,98051066,98281538,98356519,98486493,98511866,98524590,98525825,98740026,99152588,99707001,...,20458905198424759934447342604779302176724253176326036538876691554840345108698983302988313376978587955652916330163266947906643871902743309282985288741986378563641092519711536646238010757302562005039430107707711919020713880383573980549378782767146504156864709350406242540730751962424808631245208886656784940981858840330252939528795971902222081319052083297810837415338353198028305047753502464672636827485226526490535995846423329674720231282407329245930787449582799143763658841365245939594808084332255760959577958902966378146946525518202911453867730915533281492598687055520767483256879522102999745295734047641101021531449750165873902404441858856272272252953196543194850813299204275281750686556662047795156227075343807768224818456848040652053440886195319814073410406238483606069126671889711401593522539636961855454605342829023726423154994299902651571409577647345219934746714411184579698773054207035741579253676217220708959885210937248657573952952291735778521179359610260875878866813012373001204179571361136845675980037410306644349159540096832355354111500835634962714127450793287473306916383932876116177914586391421880009089467570814087545422879184994371338303004367700254273151280237574434426579349916308188754218780650604712861873109542138829570558386930628942590261064903870846775235320261598845714899797256243680540758278962819894902661096793287773602276256705475824751516258065954275231590056803968398240940303774783881405528836813211604240491903055680561786301244550207517894624090794272583896946391693139258559330347892381982007514863297382852447739489850858965166184787803431610636749718827117091279682495628307112992256736237078635221329159815735281653817407068527884734696782233809788343580174131421494143968844115309805590018455430545550362881674372851962523221759403203168547314662564618938555177112442395785025577791910487530620807364916743412030820000026601322747886869676988349014726723593668721793351867797137464247963777896470893850214897007778596104252369731247357363464245436486090473259011071124857730040153215682548193102938181923212163735195758039787553715272971276151332245368925075968021067264407491070108499346620172526823058933790340124454976081818213475952453955202454900254460789275747187003534874670958565869687724346225717338320492805394075835655457639183159682884703092406771121933460615713665613533463792493229889254344366318777970968972390483545288085468761016687513333188077841575621716688807936586185753189004800115678133793825876869364798708130188005870525601239499322648699632042433144055637642875265912823678967950297920670504938469145016402675413185021409229118604299687592053307006866928698599358117237660573421700422684056495868913518302258408225223101045480342389215527388134870338948016072267800050102190504613849007893382619519865790552522764947044230460363797070250851120153313395518458770691996247804672188737181143274004261066189967139387520816492459013391983804817892023040281298932993810865476077393570874391967273187544116476565197703929809043670650023697993018595148719290674063959416161209915286268684134536976960933407019362630275388964817290482537351349363189891642707782987479051078731254588312594132589716136531238815968874686179188671228773078460868512315114082131149415149563889305996797330201562921931347006029848307450851047074184898440280710373276652985867194163148529996823740413684342357227800809674029507706632836421000302596702767064177611561224542789502501308834719259711813779575442815938181486298708389517310479540981832069760531654815881304340517350918662252765797872449788105072904946366299213046288496459686688227664081191245990714283210100294430964762760144485895995380236039404603878920170365326197836435894072925226914623613903622970905377066742757870389194889527698250214304670603022345407477185816257699400057924}
23777 331719924133026930481789375222979608909522011833304919514622129825007890110653: {95092,499107,594175,713010,760544,855612,926679,1306855,1568226,2208099,2256535,2328578,2707842,2826607,3326540,3396679,3442735,3679855,3823267,3991848,4038010,4131282,4415826,4490829,4752200,4819423,4845612,4963123,5248087,5346225,5461810,5702640,5748226,6006979,6082816,6285535,6415470,6554172,6843168,6861727,6884890,6890007,7098559,7314339,7542642,7668343,7698564,8261868,8646092,8881378,9830935,10701219,11729042,11797122,11953855,12012946,12189535,12262723,12351560,12633404,12810999,12896335,13653399,13722298,13762147,13895505,14344626,14627442,14631848,14821872,14915379,15290492,15475602,16052972,16424935,16460829,16532143,16674606,16733983,17599135,17723587,18047720,19241335,19526007,19596225,19660210,19709922,19849148,19947679,20303685,20413135,20584003,20902640,20988812,21115735,21118962,21657264,21843560,22519855,22607144,22664047,23089602,23179783,23456108,23515470,23592252,23905690,24364422,24441837,24495762,24574005,24856855,25083168,25254823,25319410,25338882,25433037,26200034,26212272,26257135,26517842,26810179,27023826,27166568,27422935,27591907,28218564,28354855,28592623,28686828,29097425,29395567,29488806,29828226,30277425,30383292,30562389,30578408,30914335,31069519,31214204,31508562,31953763,32145218,32295920,32377210,32378979,32907522,33348914,33408247,34025826,34400709,34916910,35519528,35608903,35814223,36125683,36332910,36480819,36501667,36713335,37097202,37244704,37428620,38115507,38388847,38755104,38852652,39020287,39367363,39417010,39694952,39746739,39959469,40024279,40154007,40246999,40531879,40772743,40953225,41567750,41780919,41900292,41902303,41974088,42079687,42187107,42320179,43100805,43323523,43351363,43599492,43639135,43683440,43809699,44056002,44591720,44619699,44656821,44876348,44897479,44914344,44961722,45187939,45380517,45648703,45921740,45974192,45982034,46450207,46858855,47220849,47300412,47367285,47871427,48750943,49143870,49881300,50165685,50525104,50528637,50528935,50568908,50667159,51023647,51070243,51215935,51588163,51720966,52271607,52366962,52395644,52420128,52579186,52621783,53206720,53510064,53731855,54024425,54225679,54841210,55017967,55106088,55786735,55868979,56230626,56239090,56389625,56840742,57180418,57274663,57863407,58521535,58654839,58776883,58807603,58972644,58979407,59003084,59289703,59333757,59382500,59677004,59857560,60188505,60198822,60312194,60355087,60568855,60604303,60634722,60884899,61459122,61994349,62178463,62996407,63848064,63998165,64201072,64285004,64478226,64829310,65018743,65333335,65596783,65639683,65688620,65809452,66012535,66163107,66238855,66308613,66459943,66491839,66593505,66837079,66944082,66980527,67339755,67486908,67646588,67667550,67733859,67859023,68110306,68126007,68244092,69014467,69151264,69403135,69457687,69527623,69587378,70225842,70413763,70474359,70635425,70823359,70982335,71033072,71078354,71176099,71211778,71259000,71275399,71300229,71622394,71756983,71829072,72178720,72226206,72243139,72337027,72682626,72957490,73297903,74134855,74514787,74850920,75466034,75653479,76009600,76089068,76311219,76502479,76797798,77177750,77323327,77728135,77795172,78094723,78246039,78400002,78826344,78912487,78938825,79215042,79221043,79486626,79706863,79744855,79912206,80009923,80166375,80807706,80863855,81056914,81201060,81330519,81758335,81973219,82662010,82786399,82875535,83251299,83283762,84207285,84256809,84290120,84437935,84470263,84762510,84881225,85178802,85373522,85510800,85524643,85552735,85578152,86443855,86614464,87076659,87459788,87548988,87556855,87601922,88188823,88446535,88679637,88961826,88981239,89147618,89228767,89361507,89821104,89897863,89915852,90368242,90413344,90640844,91211520,91289698,91425950,91606183,91835720,91956284,92409583,92613300,92885335,93106855,93273762,93563047,93709690,93828799,94461763,94726590,94797813,94826385,95098735,95167879,95693826,96199650,96275421,96625087,96876322,97036626,97292288,97441272,97491560,98110002,98354258,98423139,98784487,98787520,98881265,99172659,99194412,99410540,99450642,99802159,...,30688357797637139901671013907168953265086379764489054808315037332260517663048474954482470065467881933479374495244900421859965807854114963924477933112979567845461638779567304969357016135953843007559145161561567878531070820575360970824068174150719756235297064025609363811096127943637212946867813329985177411472788260495379409293193957853333121978578124946716256123007529797042457571630253697008955241227839789735803993769634994512080346923610993868896181174374198715645488262047868909392212126498383641439366938354449567220419788277304367180801596373299922238898030583281151224885319283154499617943601071461651532297174625248810853606662788284408408379429794814792276219948806412922626029834993071692734340613015711652337227685272060978080161329292979721110115609357725409103690007834567102390283809455442783181908014243535589634732491449853977357114366471017829902120071616776869548159581310553612368880514325831063439827816405872986360929428437603667781769039415391313818300219518559501806269357041705268513970056115459966523739310145248533031167251253452444071191176189931209960374575899314174266871879587132820013634201356221131318134318777491557007454506551550381409726920356361651639869024874462283131328170975907069292809664313208244355837580395943413885391597355806270162852980392398268572349695884365520811137418444229842353991645189931660403414385058213737127274387098931412847385085205952597361410455662175822108293255219817406360737854583520842679451866825311276841936136191408875845419587539708887838995521838572973011272294946074278671609234776288447749277181705147415955124578240675636919523743442460669488385104355617952831993739723602922480726110602791827102045173350714682515370261197132241215953266172964708385027683145818325544322511559277943784832639104804752820971993846928407832765668663593677538366687865731295931211047375115118046230000039901984121830304515482523522090085390503082690027801695706196371945666844706340775322345511667894156378554596871036045196368154729135709888516606687286595060229823523822289654407272884818245602793637059681330572909456914226998368053387613952031600896611236605162749019930258790234588400685510186682464122727320213928680932803682350381691183913620780505302312006437848804531586519338576007480739208091113753483186458774739524327054638610156682900190923570498420300195688739844833881516549478166956453458585725317932128203141525031269999782116762363432575033211904879278629783507200173517200690738815304047198062195282008805788401859248983973049448063649716083456464312898869235518451925446881005757407703717524604013119777532113843677906449531388079960510300393047899037175856490860132550634026084743803370277453387612337834651568220513583823291082202305508422024108401700075153285756920773511840073929279798685828784147420566345690545695605376276680229970093277688156037994371707008283105771714911006391599284950709081281224738688520087975707226838034560421948399490716298214116090356311587950909781316174714847796555894713565505975035546989527892723078936011095939124241814872929403026201805465441400110529043945413083447225935723806027024044784837464061674481218576618096881882468891198884574204796858223953312029268783006843159617691302768472671123196724122724345833958995195995302344382897020509044772461176276570611277347660421065559914979478800791244722794995235610620526513535841701214511044261559949254631500453895054150596266417341836814184253751963252078889567720669363164223907272229448062584275965719311472748104640797482223821956510776026377993379148696808674682157609357419549448819569432744689530032341496121786868986071424815150441646447144140216728843993070354059106905818380255547989296754653841109387840371935420855434456358065600114136805583792334291547375321457005904533518111215778724386549100086886}
23778 332890075146322847420592054983268547324971737735259965117149426589377431640165: {118865,142638,261437,403937,665476,736157,878417,950680,1069515,1092638,1140816,1235572,1283418,1377326,1399421,2090968,2108321,2352339,2391377,2532797,2579921,2944132,3492867,3520721,3567677,3610456,4061763,4158175,4216286,4224221,4645457,4972637,4989810,5065166,5322464,5347838,5392721,5508376,5625821,5672417,5887768,5940250,5987772,6057015,6196923,6323921,6460816,6602657,6623739,7040846,7128300,7268418,7603520,7760957,7885406,8130557,8166638,8192715,8553960,8622339,8738896,8868221,9124224,9186676,9557921,9623205,9752452,9831258,9833297,10056856,10245821,10264752,10327335,10657697,10691246,10807615,10886237,11015824,11250686,11313963,11342717,11547846,11616221,11843921,12392802,12802867,12969138,13205921,13322067,13386977,14268292,14335421,14873006,14965757,15280337,15439450,15729496,15791755,15953117,16579421,16813406,17025821,17081332,17293277,17426897,17515937,17593563,17695683,18019419,18204532,18289810,18527340,18950106,19113115,19126168,19503256,19573166,19643297,19762496,19781251,19887172,20066215,20084177,20583447,20634136,20673038,20743997,20947646,21007421,21516939,21941163,21947772,22058237,22145597,22232808,22318526,22559650,22581917,22935738,22973921,23213403,23625821,23770747,23886077,24079458,24102737,24275921,24665117,24811435,25011909,25139921,26034676,26128300,26236015,26279896,26756107,27071580,27223886,27304450,27712721,27883217,28158616,28258930,28578206,28733777,28876352,29157857,29320135,29490315,29564883,29773722,30468206,30786136,30930257,31079587,31276046,31353960,31456336,31483218,31517921,31678443,31936721,32485896,32589116,32661016,32765340,32813597,33146717,33155966,33396221,33444224,33785176,33910716,33958210,34060157,34432721,34634403,34733083,34949696,35184162,35273205,35388378,35562638,35628797,35858535,35875421,35916497,36031768,36546633,36727327,36743643,36859037,36899921,37347739,37512221,37624752,37979115,38008323,38223010,38249104,38366417,38488157,38488286,39017755,39297917,39300051,39318408,39580577,39770968,39776763,40227418,40369900,40511056,40535739,40749852,40907837,41707997,42011416,42327846,43030242,43140221,43171972,43773437,43876696,44089277,44134519,44209466,44233209,44325821,44399410,44742339,45367768,45574938,45867612,46090721,46129757,46555880,46714337,46785775,46821306,47064221,47262843,47681246,47878097,48217827,48443880,48565815,48641092,49149917,49341857,49361283,49462936,49610237,49618690,49757726,50023371,50755997,50820676,50870177,50946257,51038739,51288221,51673472,51803536,52008017,52375365,52423421,52467610,52597838,52995652,53279292,53538676,53776157,54150077,54262097,54499365,54604300,54895517,55229921,55452497,55645803,55707892,55739650,55867056,56095435,56118497,56142930,56175938,56249476,56376797,56487377,56708321,57112637,57259421,57402175,57467740,58132656,58137437,58278978,58319777,58412932,58683857,58733966,58741336,59083421,59125515,59492932,59542428,59771297,59885792,60168221,60507356,61266206,61781921,61817597,62153938,62351625,62671421,62850438,62961132,63030206,63067216,63156380,63203866,63211135,63414737,63784046,64035038,64750817,65275037,65399238,65494555,65525160,66084003,66352721,66508400,66537038,66786446,66836897,66887580,67078397,67314522,67371516,67442583,67556212,67560221,67594577,68382557,68791997,68882610,68961288,68973051,69098321,69695476,69822616,69893504,70263038,70821917,70950618,71257937,71346752,71458721,71744366,71759357,71959421,72922337,73153757,73474784,73711406,73715805,73753855,73812797,73911377,74228125,74491972,74596255,74689186,74730077,74821950,74880883,74936126,74974168,75381437,75425006,75787656,75853362,76738877,77348321,77581449,77699837,77795537,78206452,78550443,78593466,78630192,78868779,79111676,79127777,79411421,79537277,79810080,79914077,80251340,80265096,80352221,80356255,80539517,80846296,81005726,81945496,82110775,82242977,82261815,82519421,82659132,83314397,83588321,83647838,84315617,84345939,84358635,84496721,84558235,84617297,85128317,85130752,85218257,85261113,85305115,85770627,85970968,86034638,86439080,87031421,87222638,87443357,87736637,87745936,88175057,88217476,88411484,88458966,88504626,88524497,88643486,88756817,88785821,88791340,89046497,89073750,89258776,89515506,89537117,89587838,89786340,89982544,90223400,90298233,90311812,90468291,90834676,90952083,91080221,91532957,91955537,92172926,92188683,92627921,92767421,93563650,93634456,93965812,94178897,94699421,94944977,95012000,95066972,95081117,95111335,95205566,95244221,95352797,95437838,95772096,96301608,96427506,96717339,96910168,97099217,97243965,97417937,97752638,97893857,98532930,98602877,98714178,98994257,99134606,99228221,99331997,99720017,99874721,99951866,...,46032536696455709852506520860753429897629569646733582212472555998390776494572712431723705098201822900219061742867350632789948711781172445886716899669469351768192458169350957454035524203930764511338717742342351817796606230863041456236102261226079634352945596038414045716644191915455819420301719994977766117209182390743069113939790936779999682967867187420074384184511294695563686357445380545513432861841759684603705990654452491768120520385416490803344271761561298073468232393071803364088318189747575462159050407531674350830629682415956550771202394559949883358347045874921726837327978924731749426915401607192477298445761937873216280409994182426612612569144692222188414329923209619383939044752489607539101510919523567478505841527908091467120241993939469581665173414036588113655535011751850653585425714183164174772862021365303384452098737174780966035671549706526744853180107425165304322239371965830418553320771488746595159741724608809479541394142656405501672653559123086970727450329277839252709404035562557902770955084173189949785608965217872799546750876880178666106786764284896814940561863848971261400307819380699230020451302034331696977201478166237335511181759827325572114590380534542477459803537311693424696992256463860603939214496469812366533756370593915120828087396033709405244279470588597402858524543826548281216706127666344763530987467784897490605121577587320605690911580648397119271077627808928896042115683493263733162439882829726109541106781875281264019177800237966915262904204287113313768129381309563331758493282757859459516908442419111418007413852164432671623915772557721123932686867361013455379285615163691004232577656533426929247990609585404383721089165904187740653067760026072023773055391795698361823929899259447062577541524718727488316483767338916915677248958657207129231457990770392611749148502995390516307550031798596943896816571062672677069345000059852976182745456773223785283135128085754624035041702543559294557918500267059511162983518267501841234567831895306554067794552232093703564832774910030929892590344735285733434481610909327227368404190455589521995859364185371340497552080081420928047401344916854907744123529895388185351882601028265280023696184090980320893021399205523525572536775870431170757953468009656773206797379779007864011221108812136670630224779688162109286490581957915235024350286385355747630450293533109767250822274824217250434680187878587976898192304712287546904999673175143545148862549817857318917944675260800260275801036108222956070797093292923013208682602788873475959574172095474574125184696469348303853277677888170321508636111555576286906019679666298170765516859674297082119940765450589571848555763784736290198825951039127115705055416180081418506751977352330770375734936623303458262633036162602550112729928635381160267760110893919698028743176221130849518535818543408064415020344955139916532234056991557560512424658657572366509587398927426063621921837108032780131963560840257051840632922599236074447321174135534467381926364671974262072271694833842070348258962553320484291839084618404016643908686362722309394104539302708198162100165793565918119625170838903585709040536067177256196092511721827864927145322823703336798326861307195287335929968043903174510264739426536954152709006684795086184086518750938492793992953516574345530763567158691764414855916916021490631598339872469218201186867084192492853415930789770303762551821766566392339923881947250680842581225894399626012755221276380627944878118334351581004044746335860908344172093876413948578967209122156961196223335732934766164039566990068723045213012023236414036129324173229354149117034295048512244182680303479107137222725662469670716210325093265989605531088660358727570383321983945131980761664081760557903131283151684537098400171205208375688501437321062982185508856800277166823668086579823650130329}
23779 334064327108058797052166398763995487148762679188470567056863959521836434074463: {190184,213957,831845,998214,1188350,1426020,1521088,1544465,1638957,1711224,1829597,1853358,1925127,2065989,2613710,3136452,3159149,3680165,4014257,4416198,4513070,4657156,4819829,5151797,5415684,5653214,5865509,6324429,6653080,6793358,6885470,7099157,7359710,7484715,7597749,7646534,7668989,7983696,8021757,8076020,8262564,8570501,8799749,8831652,8910375,8981658,9504400,9638846,9691224,9926246,10496174,10561269,10692450,10902627,10923620,11405280,11483345,11496452,11828109,12013958,12165632,12190565,12249957,12571070,12830940,13108344,13686336,13723454,13763309,13769780,13780014,14197118,14492309,14628678,14746887,15085284,15336686,15397128,16036869,16523736,16735397,16876029,17065349,17292184,17321769,17338589,17762756,17835365,18054869,18477101,18589203,19453707,19661870,20184869,20585741,21323381,21351665,21402438,22309509,22755665,22994909,23159175,23458084,23594244,23907710,24025892,24326549,24379070,24525446,24638789,24703120,24858965,25220109,25256957,25266808,25621998,25792670,26937869,27306798,27394289,27434715,27444596,27524294,27791010,28425159,28578389,28689252,29254884,29263696,29359749,29398049,29562029,29643744,29830758,29846609,30580984,30951204,31009557,31421469,31527797,31684757,31956461,32105944,32543345,32660375,32849870,32853869,32921658,33064286,33349212,33467966,33477789,33839475,34403607,34799597,35198270,35447174,36095440,36119187,36128741,36504749,36759989,37338629,38392109,38482670,39052014,39192450,39320420,39419844,39696797,39698296,39895358,40027661,40607370,40736395,40826270,40835829,40956675,41168006,41805280,41905841,41977624,42083249,42231470,42237924,42388395,42693989,42867309,43021109,43280069,43314528,43327181,43610909,43687120,44660583,44792117,45039710,45214288,45328094,45702309,46179204,46359566,46454129,46912216,46914069,47030940,47184504,47224827,47811380,47875469,48185969,48728844,48883674,48991524,49148010,49713710,49733949,50014757,50124209,50166336,50462375,50509646,50638820,50677764,50866074,50937315,51233429,51398669,52113077,52400068,52424544,52514270,52776243,53035684,53060657,53082567,53343957,53620358,53964965,54047652,54230261,54333136,54675797,54845870,55183814,55821149,56437128,56709710,57026429,57185246,57334515,57373656,57732429,57965381,58194850,58791134,58812581,58977612,59216177,59294741,59656452,60068549,60341127,60554850,60766584,60801365,60967829,61094789,61124778,61156816,61490669,61828670,62139038,62183717,62428408,63017124,63491769,63525845,63907526,63929969,64290436,64545363,64591840,64754420,64757958,65024237,65392829,65602397,65815044,66244565,66314199,66599115,66697828,66816494,66923345,67734221,67864757,68051652,68190389,68255375,68362407,68801418,69020309,69166949,69463589,69634865,69833820,70044557,70069649,70231959,70311845,70407749,70740509,71039056,71217806,71521869,71628446,71702309,71834675,72251366,72558737,72665820,72961638,73003334,73016165,73426670,74194404,74278157,74366165,74428035,74489408,74636589,74857240,74860589,75224597,75634195,76231014,76777694,77510208,77705304,78040574,78101429,78543569,78701415,78734726,78834020,78896757,78945475,79389904,79493478,79713629,79918938,80048558,80198981,80308014,80493998,81063758,81545486,81906450,81930149,82169009,83135500,83561838,83609475,83800584,83804606,83948176,84159374,84214395,84263907,84374214,84445265,84640358,84796397,85215989,86201610,86420189,86647046,86702726,86858717,87003509,87119345,87198984,87278270,87366880,87418467,87619398,88100949,88112004,88196309,88450157,89084141,89183440,89236349,89239398,89313642,89408657,89597431,89752696,89794958,89828688,89923444,90375878,90761034,91297406,91466669,91843480,91899309,91948384,91964068,92417549,92734397,92900414,93114965,93230907,93624869,93717710,94275657,94407941,94441698,94545309,94600824,94734570,94805799,95311889,95676069,95742854,96052557,97164389,97501886,97758065,98098857,98287740,98792849,98889595,99375269,99726269,99762600,99805557,...,61376715595274279803342027814337906530172759528978109616630074664521035326096949908964940130935763866958748990489800843719931615708229927848955866225959135690923277559134609938714032271907686015118290323123135757062141641150721941648136348301439512470594128051218727622192255887274425893735626659970354822945576520990758818586387915706666243957156249893432512246015059594084915143260507394017910482455679579471607987539269989024160693847221987737792362348748397431290976524095737818784424252996767282878733876708899134440839576554608734361603192746599844477796061166562302449770638566308999235887202142923303064594349250497621707213325576568816816758859589629584552439897612825845252059669986143385468681226031423304674455370544121956160322658585959442220231218715450818207380015669134204780567618910885566363816028487071179269464982899707954714228732942035659804240143233553739096319162621107224737761028651662126879655632811745972721858856875207335563538078830782627636600439037119003612538714083410537027940112230919933047478620290497066062334502506904888142382352379862419920749151798628348533743759174265640027268402712442262636268637554983114014909013103100762819453840712723303279738049748924566262656341951814138585619328626416488711675160791886827770783194711612540325705960784796537144699391768731041622274836888459684707983290379863320806828770116427474254548774197862825694770170411905194722820911324351644216586510439634812721475709167041685358903733650622553683872272382817751690839175079417775677991043677145946022544589892148557343218469552576895498554363410294831910249156481351273839047486884921338976770208711235905663987479447205844961452221205583654204090346701429365030740522394264482431906532345929416770055366291636651088645023118555887569665278209609505641943987693856815665531337327187355076733375731462591862422094750230236092460000079803968243660609030965047044180170781006165380055603391412392743891333689412681550644691023335788312757109193742072090392736309458271419777033213374573190120459647047644579308814545769636491205587274119362661145818913828453996736106775227904063201793222473210325498039860517580469176801371020373364928245454640427857361865607364700763382367827241561010604624012875697609063173038677152014961478416182227506966372917549479048654109277220313365800381847140996840600391377479689667763033098956333912906917171450635864256406283050062539999564233524726865150066423809758557259567014400347034401381477630608094396124390564017611576803718497967946098896127299432166912928625797738471036903850893762011514815407435049208026239555064227687355812899062776159921020600786095798074351712981720265101268052169487606740554906775224675669303136441027167646582164404611016844048216803400150306571513841547023680147858559597371657568294841132691381091391210752553360459940186555376312075988743414016566211543429822012783198569901418162562449477377040175951414453676069120843896798981432596428232180712623175901819562632349429695593111789427131011950071093979055785446157872022191878248483629745858806052403610930882800221058087890826166894451871447612054048089569674928123348962437153236193763764937782397769148409593716447906624058537566013686319235382605536945342246393448245448691667917990391990604688765794041018089544922352553141222554695320842131119829958957601582489445589990471221241053027071683402429022088523119898509263000907790108301192532834683673628368507503926504157779135441338726328447814544458896125168551931438622945496209281594964447643913021552052755986758297393617349364315218714839098897639138865489379060064682992243573737972142849630300883292894288280433457687986140708118213811636760511095978593509307682218775680743870841710868912716131200228273611167584668583094750642914011809067036222431557448773098200173772}
23780 335242694297182340129811637585297348737757505511390950222320950399507592019046: {166411,237730,285276,308971,451459,522874,807874,878491,1330952,1446859,1472314,1497321,1756834,1782525,1901360,2139030,2185276,2281632,2438731,2471144,2566836,2580139,2754652,2780037,2798842,3567979,3708811,3920565,4181936,4216642,4271419,4692619,4704678,4782754,5065594,5159842,5253211,5672899,5821445,5888264,6370939,6624297,6649651,6769605,6985734,7041442,7135354,7206211,7220912,8123526,8177419,8316350,8432572,8448442,8479821,9290914,9558739,9945274,9979620,10095025,10130332,10190037,10328205,10644928,10695676,10785442,11016752,11039565,11251642,11343691,11344834,11469801,11775536,11880500,11975544,12114030,12393846,12647842,12921632,13205314,13247478,13252339,13388131,13472487,13654525,14066011,14081692,14201371,14256600,14370565,14458269,14536836,14889369,15130661,15207040,15521914,15744261,15770812,16038675,16261114,16333276,16357339,16385430,16759531,17027299,17107920,17212225,17244678,17294779,17477792,17695459,17736442,18020937,18095491,18248448,18373352,18856605,19115842,19246410,19504904,19662516,19666594,19689139,20113712,20491642,20529504,20585181,20654670,20670021,21009259,21295677,21315394,21382492,21615230,21772474,21943017,22031648,22108457,22203445,22501372,22627926,22685434,22714651,23005029,23095692,23232442,23627899,23687842,24148171,24785604,25572979,25605734,25938276,26411842,26644134,26758361,26773954,27373771,27757819,27885691,28092701,28141219,28536584,28670842,28778779,29160451,29322605,29492805,29746012,29795131,29931514,30032365,30560674,30878900,31311019,31458992,31583510,31607257,31906234,32103657,33158842,33191299,33626812,34051642,34162664,34305745,34586554,34736009,34853794,35031874,35187126,35391366,35673139,35861565,35919739,36038838,36042931,36409064,36568605,36579620,36657811,36730421,36788169,36903259,37054680,37900212,38226230,38252336,38369899,38432997,38613331,38689005,39006512,39099331,39146332,39220651,39286594,39341899,39524992,39562502,39774344,40132430,40168354,40960197,41048189,41166894,41268272,41286441,41346076,41487994,41686515,41895292,42014842,43033878,43421491,43882326,43895544,44116474,44132779,44138237,44291194,44465616,44605531,44637052,44746137,45119300,45163834,45871476,45947842,46134019,46426806,47068579,47251642,47534131,47541494,47772154,47882539,48158916,48205474,48461779,48551842,48835237,49039219,49150525,49154491,49269691,49274805,49330234,49382487,49596429,49622870,50023818,50201949,50279842,50303251,50989051,51103099,52069352,52158977,52256600,52472030,52559792,52579171,52797405,53170761,53256331,53512214,54143160,54447772,54608900,54624857,54937891,55383571,55425442,55766434,56160739,56317232,56517860,57154771,57156412,57264859,57467554,57724005,57752704,57814219,58142971,58315714,58578021,58640270,58689451,58788675,58980630,59129766,59342851,59547444,59668579,59764225,59843037,60911055,60936412,61239405,61572272,61752009,61823539,61860514,62159174,62552092,62707920,62912672,62966436,62996491,63035842,63208819,63298525,63347205,63356886,63420859,63873442,64971792,65178232,65316259,65322032,65500085,65525419,65530680,65627194,65629891,66151171,66293434,66294605,66311932,66359179,66792442,66877939,66888448,67084939,67559565,67570352,67601179,67821432,67916420,67992141,68120314,68832811,68865442,69139099,69268806,69466166,69539349,69851251,69899392,70256611,70368324,70546410,70776756,71125276,71164459,71257594,71717070,71750842,71766451,71832994,72063536,72764011,73093266,73161019,73260091,73325511,73454654,73487286,73718074,73722015,73799842,73853011,74148499,74443339,74570565,74695478,74835451,75024442,75249504,75421459,75764469,75958230,76016646,76299111,76446020,76498208,76732834,76778731,76976314,76976572,77356099,77835259,78035510,78533609,78595834,78598171,78600102,78636816,78771405,79161154,79167331,79450939,79541936,79545331,79553526,80363045,80430537,80454836,80578891,80672419,80739800,80943025,81022112,81071478,81499704,81815674,81881731,82268805,82775721,83353411,83372285,83415994,83718451,84022832,84354499,84626011,84655692,84716371,85064565,85777869,85973851,86060484,86280442,86343944,86863411,86951971,87292275,87481819,87546874,87657859,87745771,87753392,88178554,88184251,88186701,88269038,88418932,88466418,88495589,88651642,88795099,88798820,89484678,90092179,90735536,90832275,91118179,91149876,91687167,91692377,91735224,91965259,92181442,92259514,92743005,93111760,93208557,93428674,93571550,93642612,93720691,93803491,94128442,94216411,94525686,95281579,95362492,95525659,95756194,95861289,96435654,96575851,96887760,96976531,97131630,97136937,97282184,98246611,98299834,98542525,98561251,98683714,98722566,98925872,99220474,99237380,99420571,99515452,...,92065073392911419705013041721506859795259139293467164424945111996781552989145424863447410196403645800438123485734701265579897423562344891773433799338938703536384916338701914908071048407861529022677435484684703635593212461726082912472204522452159268705891192076828091433288383830911638840603439989955532234418364781486138227879581873559999365935734374840148768369022589391127372714890761091026865723683519369207411981308904983536241040770832981606688543523122596146936464786143606728176636379495150924318100815063348701661259364831913101542404789119899766716694091749843453674655957849463498853830803214384954596891523875746432560819988364853225225138289384444376828659846419238767878089504979215078203021839047134957011683055816182934240483987878939163330346828073176227311070023503701307170851428366328349545724042730606768904197474349561932071343099413053489706360214850330608644478743931660837106641542977493190319483449217618959082788285312811003345307118246173941454900658555678505418808071125115805541910168346379899571217930435745599093501753760357332213573528569793629881123727697942522800615638761398460040902604068663393954402956332474671022363519654651144229180761069084954919607074623386849393984512927721207878428992939624733067512741187830241656174792067418810488558941177194805717049087653096562433412255332689527061974935569794981210243155174641211381823161296794238542155255617857792084231366986527466324879765659452219082213563750562528038355600475933830525808408574226627536258762619126663516986565515718919033816884838222836014827704328865343247831545115442247865373734722026910758571230327382008465155313066853858495981219170808767442178331808375481306135520052144047546110783591396723647859798518894125155083049437454976632967534677833831354497917314414258462915981540785223498297005990781032615100063597193887793633142125345354138690000119705952365490913546447570566270256171509248070083405087118589115837000534119022325967036535003682469135663790613108135589104464187407129665549820061859785180689470571466868963221818654454736808380911179043991718728370742680995104160162841856094802689833709815488247059790776370703765202056530560047392368181960641786042798411047051145073551740862341515906936019313546413594759558015728022442217624273341260449559376324218572981163915830470048700572770711495260900587066219534501644549648434500869360375757175953796384609424575093809999346350287090297725099635714637835889350521600520551602072216445912141594186585846026417365205577746951919148344190949148250369392938696607706555355776340643017272223111152573812039359332596341531033719348594164239881530901179143697111527569472580397651902078254231410110832360162837013503954704661540751469873246606916525266072325205100225459857270762320535520221787839396057486352442261699037071637086816128830040689910279833064468113983115121024849317315144733019174797854852127243843674216065560263927121680514103681265845198472148894642348271068934763852729343948524144543389667684140696517925106640968583678169236808033287817372725444618788209078605416396324200331587131836239250341677807171418081072134354512392185023443655729854290645647406673596653722614390574671859936087806349020529478853073908305418013369590172368173037501876985587985907033148691061527134317383528829711833832042981263196679744938436402373734168384985706831861579540607525103643533132784679847763894501361685162451788799252025510442552761255889756236668703162008089492671721816688344187752827897157934418244313922392446671465869532328079133980137446090426024046472828072258648346458708298234068590097024488365360606958214274445451324939341432420650186531979211062177320717455140766643967890263961523328163521115806262566303369074196800342410416751377002874642125964371017713600554333647336173159647300260658}
23781 336425191042035143923306044763259009391132475934609402466493286359296404441900: {356595,380368,427914,784311,1164583,1211811,1663690,1996428,2162251,2208471,2376700,2635251,2731595,2852040,3042176,3088930,3208545,3277914,3422448,3443315,3659194,3706716,3850254,4131978,4198263,4441811,5152231,5227420,6007991,6272904,6318298,6324963,6862883,7057017,7174131,7360330,7573379,7598391,7739763,8028514,8571223,8832396,9026140,9282731,9314312,9639658,10303594,10478601,10540715,10562163,10703031,10831368,11306428,11731018,12185289,12474525,12648858,12662915,12672663,13306160,13369595,13586716,13770940,13936371,14198314,14719420,14850625,14917911,14969430,15195498,15293068,15337978,15967392,16043514,16076683,16152040,16178163,16525128,16877463,17017251,17066791,17141002,17599498,17602115,17663304,17820750,17963316,18171045,18590769,18971763,19008800,19277692,19378423,19382448,19713515,19807971,19852492,19871217,20416595,20992348,21122538,21384900,21626231,21805254,21847240,22793959,22810560,22966690,22992904,23282871,23656218,24027916,24328603,24331264,24381130,24391671,24499914,24578145,24969511,25142140,25661880,25867017,26216688,26296259,26604663,26728115,27372672,27446908,27526618,27539560,27560028,27851351,28126715,28394236,28673763,28869615,28984618,29257356,29493774,29499891,29849131,29892331,30170568,30673372,30737463,30794256,30982005,31857931,31973091,32073738,32422845,32658711,32856643,33047472,33470794,33752058,33941889,34028151,34130698,34584368,34643538,34677178,34802551,34848663,35525512,35531763,35614931,35670730,36109738,36954202,37178406,37182515,38408601,38598625,38680871,38907414,39323740,39617763,39966201,40160931,40369738,40629371,41171482,42033515,42646762,42697603,42703330,42804876,43006263,43358711,44619018,44795899,44897271,45511330,45560683,45724525,45841011,45989818,46318350,46916168,47188488,47375265,47815420,47859351,48051784,48450443,48653098,48758140,48932915,49050892,49277578,49406240,49717930,49738263,50440218,50513914,50533616,51077463,51243996,51471851,51585340,51682595,51879831,52280691,52324583,52369115,52547811,52630691,52780689,53087049,53581051,53875738,54058257,54613596,54788578,54869430,54889192,55027283,55048588,55582020,55796315,56399125,56850318,56971283,57030953,57156778,57339345,57378504,57970279,58509768,58527392,58695283,58719498,58796098,58929891,59124058,59287488,59343753,59661516,59693218,60198645,60252531,60325331,61074203,61161968,61750341,61862999,61902408,62019114,62104771,62231991,62388343,62842938,63022263,63055594,63369514,63912922,63935371,64211888,64550817,64616851,65086690,65320750,65699740,65707738,65823489,65843316,66128572,66174711,66436791,66698424,66935932,66955578,67678950,67745751,68059715,68196151,68261125,68807214,68900459,68921763,69599194,69640209,70075603,70396540,70647325,70877463,70894348,71188151,71312241,71445515,71658231,72190880,72238374,72257482,72308211,72827763,73009498,73086103,73519978,73995351,74012963,74434305,74677258,75035727,75419763,75550951,76170515,76784218,76965340,78104028,78190115,78384900,78640840,78708045,78839688,78925883,78963431,79393594,79396592,79790716,80055322,80253239,80268321,80908043,81095059,81214740,81472790,81652540,81671658,81913350,82336012,82370903,82779931,82889915,83138163,83610560,83649651,83811682,83955248,84166498,84462940,84475848,84776790,84895525,85121911,85387978,85734618,86042218,86201331,86560138,86629056,86654362,87221818,87374240,87473571,87960405,88470945,88694649,88906595,88936183,89091703,89321166,89584234,90079420,90428576,90656188,90829283,90928211,91404618,92358408,92719132,92742391,92790771,92908258,93003751,93206291,93238761,93692683,93824432,93828138,94061880,94369008,94449654,94553763,95035329,95557525,95622760,95750938,95810163,96220715,96371938,97457688,97488811,97767348,97983048,98296020,98436583,98440791,99427420,99440151,99467898,99734743,...,138097610089367129557519562582260289692888708940200746637417667995172329483718137295171115294605468700657185228602051898369846135343517337660150699008408055304577374508052872362106572611792293534016153227027055453389818692589124368708306783678238903058836788115242137149932575746367458260905159984933298351627547172229207341819372810339999048903601562260223152553533884086691059072336141636540298585525279053811117971963357475304361561156249472410032815284683894220404697179215410092264954569242726386477151222595023052491889047247869652313607183679849650075041137624765180511983936774195248280746204821577431895337285813619648841229982547279837837707434076666565242989769628858151817134257468822617304532758570702435517524583724274401360725981818408744995520242109764340966605035255551960756277142549492524318586064095910153356296211524342898107014649119580234559540322275495912966718115897491255659962314466239785479225173826428438624182427969216505017960677369260912182350987833517758128212106687673708312865252519569849356826895653618398640252630640535998320360292854690444821685591546913784200923458142097690061353906102995090931604434498712006533545279481976716343771141603627432379410611935080274090976769391581811817643489409437099601269111781745362484262188101128215732838411765792208575573631479644843650118382999034290592962403354692471815364732761961817072734741945191357813232883426786688126347050479791199487319648489178328623320345625843792057533400713900745788712612861339941304388143928689995275479848273578378550725327257334254022241556493298014871747317673163371798060602083040366137856845491073012697732969600280787743971828756213151163267497712563221959203280078216071319166175387095085471789697778341187732624574156182464949451302016750747031746875971621387694373972311177835247445508986171548922650095395790831690449713188018031208035000179558928548236370319671355849405384257263872105125107630677883673755500801178533488950554802505523703703495685919662203383656696281110694498324730092789677771034205857200303444832727981682105212571366768565987578092556114021492656240244262784142204034750564723232370589686164556055647803084795840071088552272940962679064197616570576717610327611293512273860404028970319620392139337023592033663326436410011890674339064486327859471745873745705073050859156067242891350880599329301752466824472651751304040563635763930694576914136862640714999019525430635446587649453571956753834025782400780827403108324668868212391279878769039626047808366620427878722516286423722375554089408044911559833033664510964525908334666728860718059038998894512296550579022891246359822296351768715545667291354208870596477853117381347115166248540244255520255932056992311127204809869910374787899108487807650338189785906143480803280332681759094086229528663392548555607455630224193245061034865419749596702170974672681537273975972717099528762196782278190865765511324098340395890682520771155521898767797708223341963522406603402145779094015922786216815084501526211044776887659961452875517253855212049931726059088166928182313617908124594486300497380697754358875512516710757127121608201531768588277535165483594781435968471110010394980583921585862007789904131709523530794218279610862458127020054385258552259556252815478381978860549723036592290701476075293244567750748064471894795019617407654603560601252577478560247792369310911287655465299699177019771645841752042527743677683198878038265663829141883834634355003054743012134239007582725032516281629241845736901627366470883588670007198804298492118700970206169135639036069709242108387972519688062447351102885145536732548040910437321411668176987409012148630975279797968816593265981076182711149965951835395942284992245281673709393849455053611295200513615625127065504311963188946556526570400831500471004259739470950390987}
23782 337611831720522735730391216682091871989736896113133423305225914512210732524708: {332822,475460,570552,617942,641871,688837,902918,973381,1045748,1615748,1756982,2495535,2661904,2674597,2893718,2944628,2970875,2994642,3513668,3521317,3565050,3802720,4084357,4224937,4278060,4370552,4563264,4633395,4877462,4916871,4942288,5133672,5160278,5486917,5488791,5509304,5560074,5597684,5775381,5906281,6197967,6534275,7135958,7417622,7841130,8150023,8363872,8433284,8542838,8961817,9385238,9409356,9477447,9565508,10131188,10319684,10339177,10476517,10506422,10750981,11040495,11282675,11345798,11435881,11642890,11709337,11776528,12042771,12741878,13248594,13299302,13539210,13751077,13971468,14082884,14133035,14270708,14412422,14441824,14459487,15455391,15776617,16179781,16247052,16354838,16582297,16632700,16865144,16896884,16959642,16983395,17117977,17213675,17518981,17596527,18399275,18581828,18585157,18850981,18973287,19116335,19117478,19249177,19890548,19959240,20118791,20175781,20190050,20260664,20380074,20656410,20835481,21230437,21289856,21297471,21391352,21570884,22033504,22079130,22149481,22454145,22503284,22687382,22689668,22793247,22939602,23006967,23064997,23456281,23551072,23761000,23951088,24065271,24097115,24106981,24228060,24755881,24787692,24815615,25014937,25295684,25711503,25843264,26240435,26305897,26399247,26410628,26494956,26504678,26731125,26776262,26944974,27309050,28132022,28163384,28402742,28513200,28741130,28916538,29073672,29247781,29778738,30034895,30261322,30414080,30767557,31043828,31084823,31427675,31488522,31541624,31683807,32026117,32077350,32151577,32522228,32666552,32707881,32714678,32770860,33402217,33519062,33651481,33900457,34054598,34215840,34308635,34424450,34450035,34489356,34521637,34589558,34955584,35390918,35472884,35484327,35492795,36041874,36190982,36496896,36571695,36746704,36749871,37354031,37713210,37722757,38231684,38341715,38492820,39009808,39325032,39333188,39378278,40227424,40983284,40995481,41051647,41059008,41170362,41289927,41309340,41340042,41355877,41595781,42018518,42045311,42194281,42591354,42630788,42764984,43148137,43230460,43476927,43544948,43886034,44063296,44216914,44240661,44406890,44924197,45002744,45159781,45255852,45370868,45429302,45512617,46010058,46191384,46464884,47255798,47375684,47732197,48028043,48110607,48296342,48839351,49154675,49571208,50206191,50628087,50955781,51145958,51196047,51211468,51297817,51876552,51965307,52015767,52093381,52163371,52433257,52823684,53288268,53506095,53516722,53547908,54164607,54580559,54747542,54905881,55431303,55515638,55685317,55767609,55771382,56185402,56282438,56792677,57073168,57341684,57557558,57714371,58320902,58361121,58645210,58767781,58985610,59094697,59492024,59529577,59590262,59769275,59854981,59863028,60064730,60179737,60554607,60611737,60719557,60947675,61121348,61313615,61757223,61757800,62541481,62622038,62754457,62917984,63167020,63214514,63812468,63920677,63970143,64054995,64207314,64447897,64481675,66317684,66382598,66928527,67253624,67573417,68103284,68266995,68325328,68611490,68805481,68810735,68984727,69111877,69173108,69472018,69477525,69519397,69707588,70063748,70128517,70374252,70782732,71346278,71539717,71723130,71839478,72077676,72085862,72339781,72818128,72979647,73137210,73159240,73315622,73460842,73576338,73630057,73806518,73916367,74109360,74576895,74614297,75298981,75660327,75770871,75800424,75980137,76270981,76452460,76464517,76504672,76739798,76865994,76947097,77226662,77378010,78002437,78013024,78198662,78292664,78441302,78573188,78683798,78954277,79049984,79125004,79427497,79548688,80264860,80274757,80336708,80813607,81920394,82096378,82124675,82182867,82304145,82333788,82413481,82536544,82572882,82660715,82689637,82692152,82873381,82975988,83373030,83669915,83790584,84029684,84514117,85145881,85275477,85415557,85735167,86067756,86220697,86487781,86665477,86842982,87108457,87764652,87791088,87995675,88079247,88194147,88232948,88265558,88276474,88582388,88617935,88686087,88862377,88931232,89211062,89274104,89492274,89539827,89728537,90238600,90327668,90416281,91700119,91742952,91895684,92115481,92268038,92812447,92853612,93028671,93121177,94033957,94137158,94264407,94445977,94503284,94583391,94610281,95019781,95054271,95068262,95082988,95544308,95765078,95869383,96206675,96317832,96410948,96479077,96923558,97103684,97438981,97630035,97670474,97677337,97981125,98078438,98301050,98308982,98539382,98549610,98561607,98660468,98764974,99015781,99192858,99245740,99738395,99793381,...,184130146785822839410026083443013719590518278586934328849890223993563105978290849726894820392807291600876246971469402531159794847124689783546867598677877407072769832677403829816142096815723058045354870969369407271186424923452165824944409044904318537411782384153656182866576767661823277681206879979911064468836729562972276455759163747119998731871468749680297536738045178782254745429781522182053731447367038738414823962617809967072482081541665963213377087046245192293872929572287213456353272758990301848636201630126697403322518729663826203084809578239799533433388183499686907349311915698926997707661606428769909193783047751492865121639976729706450450276578768888753657319692838477535756179009958430156406043678094269914023366111632365868480967975757878326660693656146352454622140047007402614341702856732656699091448085461213537808394948699123864142686198826106979412720429700661217288957487863321674213283085954986380638966898435237918165576570625622006690614236492347882909801317111357010837616142250231611083820336692759799142435860871491198187003507520714664427147057139587259762247455395885045601231277522796920081805208137326787908805912664949342044727039309302288458361522138169909839214149246773698787969025855442415756857985879249466135025482375660483312349584134837620977117882354389611434098175306193124866824510665379054123949871139589962420486310349282422763646322593588477084310511235715584168462733973054932649759531318904438164427127501125056076711200951867661051616817148453255072517525238253327033973131031437838067633769676445672029655408657730686495663090230884495730747469444053821517142460654764016930310626133707716991962438341617534884356663616750962612271040104288095092221567182793447295719597037788250310166098874909953265935069355667662708995834628828516925831963081570446996594011981562065230200127194387775587266284250690708277380000239411904730981827092895141132540512343018496140166810174237178231674001068238044651934073070007364938271327581226216271178208928374814259331099640123719570361378941142933737926443637308909473616761822358087983437456741485361990208320325683712189605379667419630976494119581552741407530404113061120094784736363921283572085596822094102290147103481724683031813872038627092827189519116031456044884435248546682520899118752648437145962327831660940097401145541422990521801174132439069003289099296869001738720751514351907592769218849150187619998692700574180595450199271429275671778701043201041103204144432891824283188373171692052834730411155493903838296688381898296500738785877393215413110711552681286034544446222305147624078718665192683062067438697188328479763061802358287394223055138945160795303804156508462820221664720325674027007909409323081502939746493213833050532144650410200450919714541524641071040443575678792114972704884523398074143274173632257660081379820559666128936227966230242049698634630289466038349595709704254487687348432131120527854243361028207362531690396944297789284696542137869527705458687897048289086779335368281393035850213281937167356338473616066575634745450889237576418157210832792648400663174263672478500683355614342836162144268709024784370046887311459708581291294813347193307445228781149343719872175612698041058957706147816610836026739180344736346075003753971175971814066297382123054268634767057659423667664085962526393359489876872804747468336769971413663723159081215050207287066265569359695527789002723370324903577598504051020885105522511779512473337406324016178985343443633376688375505655794315868836488627844784893342931739064656158267960274892180852048092945656144517296692917416596468137180194048976730721213916428548890902649878682864841300373063958422124354641434910281533287935780527923046656327042231612525132606738148393600684820833502754005749284251928742035427201108667294672346319294600521316}
23783 338802630760284835983548751701822696324464062466312501776701676957187176236767: {499233,594325,713190,760736,855828,926913,1307185,1354377,1568622,2019685,2329166,2423622,2635473,2875081,3327380,3680785,3824233,3992856,4324502,4340577,4392085,4416942,4491963,4753400,4820641,4964377,5249413,5270502,5347575,5463190,5704080,6084352,6177860,6417090,6555828,6844896,6886630,6997105,7100353,7316193,7318388,7413432,7574017,7670281,7700508,7740417,8095681,8263956,8340111,8396526,8883622,8950357,9283513,10304462,10374817,10454840,10541605,10703937,11126433,11761695,11956885,12015982,12545808,12636596,12649926,12663985,12814257,12899605,13725766,13828177,14077857,14114034,14348262,14720660,14757001,15146758,15196782,15479526,15759633,16057028,17018697,17142446,17464335,17603605,17664792,17728081,17838385,18052280,18565462,18628624,18717433,18951481,19112817,19279316,19872891,19948953,20308815,20607188,20790875,20957202,21081430,21121105,21124326,21406062,21618633,21628057,21662736,22367017,22612856,23227285,23462036,24370578,24532257,24642961,24863185,24949050,25297716,25325830,25345326,25439463,25558273,26298481,26612320,26739190,26816977,26963605,27173432,27541880,27598921,27872742,28129105,28362085,28371937,28396628,28583233,28676217,29438840,29701250,29835822,29938860,30285075,30390996,30570111,30586136,30675956,30984615,31077397,31619605,31811641,31934784,32087028,32153366,32304080,32356326,32915233,33013285,33050256,33118695,33754926,34031073,34034502,34133582,34282004,34409403,35198996,35204230,35326608,35641500,35823301,35926632,36134857,36342090,37181538,37419361,37943526,38017600,38555384,38684137,38718097,38756846,38764896,38804785,39030181,39377401,39427030,39615942,39704984,39742434,39757017,39770473,40164393,40417461,40652785,40833190,40963575,41433913,41984696,42090373,42198033,42245076,42330937,42604113,42769800,43111695,43252462,43374807,43610508,43694480,44341105,44668107,44908897,45199393,45391983,45409297,45587918,45621120,45933380,45985808,46023841,46454617,46565742,47232783,47312436,47789605,48055832,48116025,48454537,48657206,48662528,48762260,48783342,48999828,49072017,49156290,49166485,49543681,49939022,50278593,50284280,51081897,51229105,51242113,51323760,51476197,51636675,51708721,51734034,51884337,52055521,52329001,52433376,52592518,52792153,53086377,53209326,53288485,53456230,53982673,54038075,54062811,54286473,54431185,54685081,54745344,54893816,55031941,55053236,55079120,55120056,55702702,55830601,56253430,56569815,56713585,56788472,56976097,57347526,57739230,57765697,57969236,58081105,58514712,58822537,58846921,58987548,58999782,59067417,59219605,59698262,59784662,60330457,60341136,60900337,61346744,61474926,61501081,61588512,61755543,61964010,62010063,62380681,63012421,63027777,63715862,63887031,63946182,64014335,64147476,64845690,65286217,65317422,65403913,65656321,65713286,65829051,66029605,66094944,66325371,66508693,66610335,66934885,66941588,66997561,67504116,67883778,68011537,68056302,68143953,68261396,68506081,68906281,69015087,69031993,69168736,69287076,69354356,69387013,69605102,69697326,70841317,70883697,71051024,71063526,71194177,71229862,71293573,71341460,71677105,72219476,72261457,72355633,72444513,72669073,73110817,73316761,73908404,74019217,74356812,74365030,74436073,74533681,74828785,76401685,76521877,76644457,76718937,76817202,77197250,77361742,77814828,78114841,78647480,78958775,79235526,79727161,79765585,79932402,80275083,80321862,80739476,80769337,81187753,81258742,81994057,82121313,82342964,82897105,83273457,83657073,84027313,84067030,84278103,84423657,85129105,85163137,85230433,85293524,85395206,85406660,85609752,86012526,86336337,86466385,86717422,87018241,87134485,87481353,87579685,87967815,88211281,88478415,89238036,89385393,89591798,89743777,89794542,90097095,90620713,90837001,91022660,91121366,91449050,91629541,91682022,91979636,92636700,93832336,93933057,94376976,94750530,94821771,94844737,95283601,95565575,95630840,95718702,96006097,96103568,96310971,96900886,97082977,97306196,97516280,97865830,98101784,98216485,98555156,98809573,98812480,98906255,99435860,99476526,99573897,...,276195220178734259115039125164520579385777417880401493274835335990344658967436274590342230589210937401314370457204103796739692270687034675320301398016816110609154749016105744724213145223584587068032306454054110906779637385178248737416613567356477806117673576230484274299865151492734916521810319969866596703255094344458414683638745620679998097807203124520446305107067768173382118144672283273080597171050558107622235943926714950608723122312498944820065630569367788440809394358430820184529909138485452772954302445190046104983778094495739304627214367359699300150082275249530361023967873548390496561492409643154863790674571627239297682459965094559675675414868153333130485979539257716303634268514937645234609065517141404871035049167448548802721451963636817489991040484219528681933210070511103921512554285098985048637172128191820306712592423048685796214029298239160469119080644550991825933436231794982511319924628932479570958450347652856877248364855938433010035921354738521824364701975667035516256424213375347416625730505039139698713653791307236797280505261281071996640720585709380889643371183093827568401846916284195380122707812205990181863208868997424013067090558963953432687542283207254864758821223870160548181953538783163623635286978818874199202538223563490724968524376202256431465676823531584417151147262959289687300236765998068581185924806709384943630729465523923634145469483890382715626465766853573376252694100959582398974639296978356657246640691251687584115066801427801491577425225722679882608776287857379990550959696547156757101450654514668508044483112986596029743494635346326743596121204166080732275713690982146025395465939200561575487943657512426302326534995425126443918406560156432142638332350774190170943579395556682375465249148312364929898902604033501494063493751943242775388747944622355670494891017972343097845300190791581663380899426376036062416070000359117857096472740639342711698810768514527744210250215261355767347511001602357066977901109605011047407406991371839324406767313392562221388996649460185579355542068411714400606889665455963364210425142733537131975156185112228042985312480488525568284408069501129446464741179372329112111295606169591680142177104545881925358128395233141153435220655222587024547720808057940639240784278674047184067326652872820023781348678128972655718943491747491410146101718312134485782701761198658603504933648945303502608081127271527861389153828273725281429998039050861270893175298907143913507668051564801561654806216649337736424782559757538079252095616733240855757445032572847444751108178816089823119666067329021929051816669333457721436118077997789024593101158045782492719644592703537431091334582708417741192955706234762694230332497080488511040511864113984622254409619739820749575798216975615300676379571812286961606560665363518188172459057326785097111214911260448386490122069730839499193404341949345363074547951945434199057524393564556381731531022648196680791781365041542311043797535595416446683927044813206804291558188031845572433630169003052422089553775319922905751034507710424099863452118176333856364627235816249188972600994761395508717751025033421514254243216403063537176555070330967189562871936942220020789961167843171724015579808263419047061588436559221724916254040108770517104519112505630956763957721099446073184581402952150586489135501496128943789590039234815309207121202505154957120495584738621822575310930599398354039543291683504085055487355366397756076531327658283767669268710006109486024268478015165450065032563258483691473803254732941767177340014397608596984237401940412338271278072139418484216775945039376124894702205770291073465096081820874642823336353974818024297261950559595937633186531962152365422299931903670791884569984490563347418787698910107222590401027231250254131008623926377893113053140801663000942008519478941900781974}
23784 339997602638866272918104282266570428911284464258546129970282269167472166218025: {261503,404039,546503,665644,736343,878639,950920,973463,1020863,1069785,1141104,1235884,1283742,1377674,1805836,1946762,2091496,2297639,2352933,2533439,2674823,3231496,3493749,3513964,3568583,3635433,3709439,4159225,4272143,4506263,4991070,5254103,5323808,5347439,5349194,5787436,5889256,5941750,5989284,6486753,6625413,7027336,7042634,7130100,7300103,7605440,7722325,7901639,7905753,8168714,8194785,8271143,8449874,8556120,8594039,8741104,9126528,9147985,9266790,9625635,9754924,9833742,9884576,10267344,10320556,10329945,10660439,10797623,10973834,10977582,11018608,11120148,11195368,11345639,11436863,11550762,11812562,12395934,12594789,12937439,13068550,13325433,13616639,14271916,14294039,14834663,14835244,15104543,15456693,15682260,15795745,16300046,16727744,16762439,16866568,17085676,17119463,17431439,17787503,17923634,18023973,18400825,18631103,18770476,18818712,18852623,18896903,18954894,18974889,19131016,19780823,19786249,20071285,20089439,20221583,20262376,20588649,20639368,20678354,20749439,20953034,21012844,21171051,21501962,21522393,22064039,22080990,22282439,22565350,22691596,22718639,22720137,22795173,22871762,23219289,23285780,23418674,23501783,23553056,23776753,24085542,24099145,24152423,24671639,24801263,25483756,25713669,25758985,26308223,26479823,26497188,26598604,26762869,27078420,27378623,27464039,27502154,27848193,27942936,28165768,28266070,28541416,28824844,28868783,28883648,28918974,29250383,29292743,29327545,30910782,31435803,31553234,31622145,31686489,32109093,32359562,32494104,32709676,33030743,33164594,33265400,33280463,33654503,33730288,33735961,33793768,33919284,33966790,34235954,34427350,34741861,35037962,35193054,35495785,35761823,36049439,36254639,36555867,36736609,36798550,37163656,37170314,37400063,37423575,37701962,37946574,37970423,37988745,38017989,38214383,38232670,38234956,38344945,38498354,38498639,38620343,39308639,39781096,39918480,40034903,40108785,40237582,40351562,40380100,40517639,40521328,40760148,41039303,41312820,41670962,41809113,41839223,42048853,42237983,42460874,42579712,42594942,42782704,42852505,43141768,43508639,43785503,43904039,43998745,44067008,44101439,44145673,44158260,44298962,44551875,44753733,44908290,45006568,45203183,45374764,45379336,45586494,45751703,45879204,46013934,46129994,46259639,46912562,47102144,47522000,47620439,47891423,47902176,48032089,48130542,48194230,48213962,48230049,48456120,48534489,48779039,49048343,49278863,49355639,49511762,49575384,49631230,49689913,50029874,50388983,50591368,50632389,50884439,50998583,51051753,51188663,51200373,51423006,51686528,52022639,52480870,52589039,52611794,52798494,52806345,52821256,52989912,53009356,53462250,53552524,53678401,53889948,54277439,54513135,54585157,54618100,54911063,54948263,55468223,55772307,56245223,56264044,56326768,56503439,56613983,56805484,56915289,57026400,57416725,57482260,57719233,57833076,57898343,58135269,58147344,58154039,58495562,58773383,58809743,59140545,59423913,59426639,59557476,59613651,60069790,60329639,60509639,60522644,60828160,60952825,61048439,61249785,61535114,62087656,62169646,62547503,62855350,62977044,63008639,63079463,63083248,63367614,63539039,64052234,64154700,64303154,64489223,64504297,64878693,65044456,65333104,65415762,65429356,65541720,65712263,66233423,66752783,66804434,67038124,67302962,67614383,67717439,67800914,68109196,68207893,68334263,68381877,68431680,68617270,68816545,68846303,68848900,68900070,68978712,69043274,69152663,69179116,69848613,69911168,70270439,70337903,70781836,70945768,70968654,70985590,72083748,72380183,72381964,72461545,72778439,72985809,72993792,73043303,73143390,73175013,73274639,73493408,73499742,73734435,73834823,73933439,74708062,74850383,74908533,75306503,75426420,75445514,75825863,76278623,76310903,76463368,76683430,76697639,76985640,77601051,77819039,77914703,78019616,78042143,78233063,78650064,78666376,78756556,78888777,79246439,79467023,79813989,80032439,80184345,80454848,81966568,81990962,82103294,82118016,82268183,82340724,82579854,82618680,82680084,82711754,82728743,82881863,82912463,83065343,83191562,83522783,83554053,83676985,84037036,84090622,84190439,84341639,84380145,84388562,84643439,84733823,85182708,85244639,85261576,85326745,85529968,85839061,86021289,86051183,86296274,86460920,86526383,86608845,86692945,86953854,87029039,87089896,87470639,87772068,88126592,88290143,88433828,88481322,88499673,88552223,88813780,88871663,89161223,89176825,89547393,89676993,89737943,89848394,90005488,90168383,90274345,90319562,90511704,90741736,90858604,90881783,91025234,92020116,92125223,92212389,92382768,92385505,92929768,92946015,93740639,94071503,94511596,94751368,95464394,95464823,95573793,95919273,95924639,96056086,96194039,96221214,96335029,96592684,96596639,97050743,97268535,97449503,97678702,97714343,97976133,98004743,98267903,98309350,98399183,98569929,98634983,99104639,99142416,99442223,99494039,99675143,99830063,...,414292830268101388672558687746780869078666126820602239912253003985516988451154411885513345883816406101971555685806155695109538406030552012980452097025224165913732123524158617086319717835376880602048459681081166360169456077767373106124920351034716709176510364345726411449797727239102374782715479954799895054882641516687622025458118431019997146710804686780669457660601652260073177217008424909620895756575837161433353915890072425913084683468748417230098445854051682661214091537646230276794863707728179159431453667785069157475667141743608956940821551039548950225123412874295541535951810322585744842238614464732295686011857440858946523689947641839513513122302229999695728969308886574455451402772406467851913598275712107306552573751172823204082177945455226234986560726329293022899815105766655882268831427648477572955758192287730460068888634573028694321043947358740703678620966826487738900154347692473766979886943398719356437675521479285315872547283907649515053882032107782736547052963500553274384636320063021124938595757558709548070480686960855195920757891921607994961080878564071334465056774640741352602770374426293070184061718308985272794813303496136019600635838445930149031313424810882297138231835805240822272930308174745435452930468228311298803807335345236087452786564303384647198515235297376625726720894438934530950355148997102871778887210064077415446094198285885451218204225835574073439698650280360064379041151439373598461958945467534985869961036877531376172600202141702237366137838584019823913164431786069985826439544820735135652175981772002762066724669479894044615241953019490115394181806249121098413570536473219038093198908800842363231915486268639453489802493137689665877609840234648213957498526161285256415369093335023563197873722468547394848353906050252241095240627914864163083121916933533505742336526958514646767950286187372495071349139564054093624105000538676785644709110959014067548216152771791616315375322892033651021266502403535600466851664407516571111110487057758986610150970088843332083494974190278369033313102617571600910334498183945046315637714100305697962734277668342064477968720732788352426612104251694169697111769058493668166943409254387520213265656818822888037192592849711730152830982833880536821581212086910958861176418011070776100989979309230035672023017193458983578415237621237115219152577468201728674052641797987905257400473417955253912121690907291792083730742410587922144997058576291906339762948360715870261502077347202342482209324974006604637173839636307118878143425099861283636167548859271167126662268224134734679499100993532893577725004000186582154177116996683536889651737068673739079466889055306146637001874062626611789433559352144041345498745620732766560767796170976933381614429609731124363697325463422951014569357718430442409840998045277282258688585990177645666822366890672579735183104596259248790106512924018044611821927918151298586286590346834572597296533972295021187672047562313466565696303393124670025890567219810206437337282047768358650445253504578633134330662979884358626551761565636149795178177264500784546940853724373783458901492142093263076626537550132271381364824604595305764832605496450784344307905413330031184941751764757586023369712395128570592382654838832587374381060163155775656778668758446435145936581649169109776872104428225879733703252244193415684385058852222963810681803757732435680743377107932733862966395899097531059314937525256127583231033049596634114796991487425651503903065009164229036402717022748175097548844887725537210704882099412650766010021596412895476356102910618507406917108209127726325163917559064187342053308655436610197644122731311964235004530962227036445892925839393906449779797943228548133449897855506187826854976735845021128181548365160833885601540846875381196512935889566839669579711202494501413012779218412851172961}
23785 341196761883888480774319272877114219838709496981460397886133697514281005128831: {832055,998466,1188650,1426380,1521472,1544855,1711656,1830059,1853826,1925613,2066511,2257295,2614370,2708754,2827559,2920143,3137244,3397823,4039370,4392455,4658332,4847244,5153099,5270946,5750162,5866991,6148919,6654760,7234295,7361570,7486605,7648466,7985712,8023791,8096363,8572667,8649004,8681154,8784170,8833884,8912625,8951111,8983926,9506800,9567623,9641282,9795947,9928754,10375691,10498826,10541004,10563951,10695150,10926380,11408160,12168704,12193655,12253071,12355720,12674811,12834180,12900695,13111656,13689792,13773260,13900185,13994210,14200706,14632386,14636776,14750613,14758247,14826864,15148034,15340562,15401016,15480834,16191362,16342391,16460751,16466373,16527912,16680222,16739639,16793052,17326143,17718843,17729579,17767244,17839895,17900714,18059447,18544055,18567026,18593901,19602825,20608924,20749634,20909680,21083210,21181067,21357095,21407874,22252866,23458091,23463095,23523390,23913770,24031964,24450069,24645047,24973739,25091616,25263359,25273192,25299852,25327970,25450487,25560431,25628514,25799210,26266055,26819243,26885451,27451532,27656354,28155714,28228068,28364495,28432341,28696524,29107225,29441320,29514002,29569547,30293516,30393564,30959052,31017531,31080023,31429551,31519266,31692791,31814327,31854695,32114056,32252943,32518199,33121485,33248255,33530471,33848025,34037394,34284892,34307643,34808459,34928670,35128011,35207210,35329584,35456162,35554187,35676770,36031055,36104560,36128313,37130924,37257248,37434866,37749047,37902962,38225634,38558632,39033479,39237803,39380747,39706919,39745782,39773831,39897906,40037807,40617630,40887095,41214376,41253231,41581750,41914404,42162860,42242210,42248652,42399105,42704831,42812124,43237266,43256114,43325472,43378461,43621967,44267447,44734034,45225712,45757751,46027727,46218599,46308491,46366173,46454570,46924072,46973663,47329851,47793695,48539343,48741156,49064514,49197899,49285922,49726370,49746891,49898100,50027471,50062463,50475125,50595432,50651660,50690652,50878926,50950185,51116546,51353931,51641025,51713087,52556943,52596962,52789581,53074151,53224640,53461559,53478380,53633954,53927210,53987231,54244007,54326699,54346864,54689723,54900911,55083760,55197825,55197842,55745484,55755471,55835327,56258210,56552943,56718455,56724170,56743874,56793256,56913899,56919861,57166466,57349005,57352434,57747531,58551623,58877680,59402500,59671644,59877720,60356373,60527343,60570150,60781992,60905483,61140222,61172272,61351912,61506287,61969230,62077547,62154794,62199479,62398907,62506443,63239210,63623282,63691311,63869568,63892413,64174056,64306732,64608160,64627823,64712652,65040719,65830466,66026570,66100512,66237390,66261695,66448443,66905447,66940655,67362435,67509852,67881959,68062146,68069004,68267164,68268551,68272625,68379741,68564008,68818806,68833079,69020901,69184487,69194991,70330055,70368843,70397992,70408460,70425647,70653216,70847303,71006855,71283000,71299631,71595359,71646602,71720747,71852825,71853264,72195813,72267563,72269714,72291345,72320943,72684180,73098491,73722623,74267643,74296991,74363076,74446845,74539979,74603879,74838722,74879627,75044811,75522731,75653305,75887052,76035200,76203659,76528343,77110768,77134509,77368274,77436194,77513692,77529792,77550191,77609570,78060362,78721305,78754802,78854060,78917691,79197741,79231884,79399019,79409968,79484868,79514034,79540946,80193375,80328786,80377271,80383211,80834922,81305570,81313547,81666380,81786695,81927150,82867826,82907447,83797655,83969392,84180746,84396066,84490152,84498959,84661874,85136495,85208226,85539600,86061125,86223390,86473895,86504924,86749614,87025607,87221016,87388960,87743343,88050023,88472651,88477295,88682210,89106827,89336214,89620069,89817794,90104685,90398786,90477455,90783966,90818594,91175836,91242240,91637327,91866760,91971616,92047682,92302671,92441447,92909234,93019499,93131484,93254469,93708839,94283025,94465566,94624872,95051421,95454671,95579210,95933003,96078351,96111664,96232050,96454731,96909074,97314412,97325056,97524520,97566684,97999656,98123643,98144034,98167703,98312580,98332970,98445695,99087362,99878044,...,552390440357468518230078250329041158771554835760802986549670671980689317934872549180684461178421874802628740914408207593479384541374069350640602796033632221218309498032211489448426290447169174136064612908108221813559274770356497474833227134712955612235347152460968548599730302985469833043620639939733193406510188688916829367277491241359996195614406249040892610214135536346764236289344566546161194342101116215244471887853429901217446244624997889640131261138735576881618788716861640369059818276970905545908604890380092209967556188991478609254428734719398600300164550499060722047935747096780993122984819286309727581349143254478595364919930189119351350829736306666260971959078515432607268537029875290469218131034282809742070098334897097605442903927273634979982080968439057363866420141022207843025108570197970097274344256383640613425184846097371592428058596478320938238161289101983651866872463589965022639849257864959141916900695305713754496729711876866020071842709477043648729403951334071032512848426750694833251461010078279397427307582614473594561010522562143993281441171418761779286742366187655136803693832568390760245415624411980363726417737994848026134181117927906865375084566414509729517642447740321096363907077566327247270573957637748398405076447126981449937048752404512862931353647063168834302294525918579374600473531996137162371849613418769887261458931047847268290938967780765431252931533707146752505388201919164797949278593956713314493281382503375168230133602855602983154850451445359765217552575714759981101919393094313514202901309029337016088966225973192059486989270692653487192242408332161464551427381964292050790931878401123150975887315024852604653069990850252887836813120312864285276664701548380341887158791113364750930498296624729859797805208067002988126987503886485550777495889244711340989782035944686195690600381583163326761798852752072124832140000718235714192945481278685423397621537029055488420500430522711534695022003204714133955802219210022094814813982743678648813534626785124442777993298920371158711084136823428801213779330911926728420850285467074263950312370224456085970624960977051136568816139002258892929482358744658224222591212339183360284354209091763850716256790466282306870441310445174049095441616115881278481568557348094368134653305745640047562697356257945311437886983494982820292203436624268971565403522397317207009867297890607005216162254543055722778307656547450562859996078101722541786350597814287827015336103129603123309612433298675472849565119515076158504191233466481711514890065145694889502216357632179646239332134658043858103633338666915442872236155995578049186202316091564985439289185407074862182669165416835482385911412469525388460664994160977022081023728227969244508819239479641499151596433951230601352759143624573923213121330727036376344918114653570194222429822520896772980244139461678998386808683898690726149095903890868398115048787129112763463062045296393361583562730083084622087595071190832893367854089626413608583116376063691144867260338006104844179107550639845811502069015420848199726904236352667712729254471632498377945201989522791017435502050066843028508486432806127074353110140661934379125743873884440041579922335686343448031159616526838094123176873118443449832508080217541034209038225011261913527915442198892146369162805904301172978271002992257887579180078469630618414242405010309914240991169477243645150621861198796708079086583367008170110974710732795512153062655316567535338537420012218972048536956030330900130065126516967382947606509465883534354680028795217193968474803880824676542556144278836968433551890078752249789404411540582146930192163641749285646672707949636048594523901119191875266373063924304730844599863807341583769139968981126694837575397820214445180802054462500508262017247852755786226106281603326001884017038957883801563948}
23786 342400123073221583512778635992791827907998672149228319095608377907582451982678: {309049,451573,523006,808078,1020949,1093006,1331288,1472686,1497699,1589173,1757278,1782975,1901840,1946926,2041726,2139570,2282208,2297833,2471768,2567484,2580793,2755348,2780739,3611672,3709753,3850549,3893524,3921555,4063131,4182992,4553449,4595278,4705866,5066878,5254549,5349646,5394553,5822915,6059055,6462992,6511993,6987498,7027928,7137166,7270866,7347049,7418878,7906419,8318450,8544286,8625243,9012526,9982140,10508206,10647616,10694878,10698388,10811255,11042355,11472699,11574872,11778512,11883500,11978568,12807179,12973506,13021731,13176255,13250826,13391593,13475889,13657975,14054672,14085268,14205049,14260200,14340373,14461923,14600206,14880949,14893131,15210880,15444650,15748239,15803278,15811506,16042725,16337428,16389570,16542286,16763893,16897849,16899748,17112240,17188078,17216575,17432953,17482208,17700073,18253056,18295970,18533580,18898549,19251270,19509848,19667484,19769152,20534688,20641112,20659890,20991315,21301059,21320878,21595246,21947668,21948579,21955164,22037216,22114043,22209055,22240296,22390736,22691278,22722051,22873726,22981993,23010843,23101524,23221251,23625124,24284473,24287043,24673813,24791868,25020333,25189578,25321273,25761155,25874878,26137100,26650866,26851071,27233278,27381049,27850539,27893113,28099799,28543832,28588078,29295349,29669326,29670488,30039955,30209086,30913386,31124451,31364520,31591490,31615243,31624815,32111811,32600092,33075349,33379299,33455488,33524878,33733136,33738803,34171352,34238926,34314415,34862878,35285085,35435833,35575006,35847268,35870655,36047946,36052693,36062579,36667753,36790549,36801650,37262206,37403449,37540952,37637424,37705246,37793806,37866895,37909788,37949778,37991955,38014549,38262032,38442771,38502133,38698815,38745493,39231349,39352633,39561646,39572498,40142570,40178878,40443166,40524752,41058563,41177298,41278736,41356708,41484531,41498878,41906068,42025688,42233571,42342102,42856115,43003924,43044786,43314613,43552213,44128078,44144953,44161980,44271003,44564878,45130700,45383192,45437278,45440274,45590346,45743524,45795049,46263913,46413655,46438578,46571560,46837348,47003566,47106112,47278899,47553506,48171084,48198290,48304846,48822073,48847579,49168213,49283449,49343278,49602526,49694099,50967512,51056091,51117433,51427338,51517970,52172159,52393005,52593973,52616446,52703575,52707049,52810815,52959646,52994376,53184243,53197208,53271349,53515155,53525738,53682923,53946133,54156840,54757246,54928078,54953449,55004308,55399273,55696386,55885872,55954933,56152299,56331536,56532140,56854443,57082832,57281173,57338451,57649688,57737566,57767296,57837948,58159573,58500766,58585486,58655090,58815349,59618673,59794153,59846859,59993507,60335413,60926445,61598243,61821564,62372625,62871606,63014713,63106468,63244290,63314575,63363315,63372978,63545173,63756853,64218186,64509731,64719124,64855899,64884171,64988208,65419352,65649013,66061486,66071203,66329188,66530800,66560926,66793849,66847975,67101051,67309006,67460576,67471922,67587536,67724053,67838568,67933580,68213639,68340949,68471908,68854700,69483722,69681855,69871849,70075924,70378549,70386108,70984213,70991570,71286073,71523646,72098878,72509278,72885049,73111734,73281913,73380949,73473218,73596771,73597100,73875049,73928883,74253125,74269033,74327312,74340628,74589555,74800126,74847150,74955733,75403924,75472639,75833449,75893148,75940846,75977490,76035978,76232351,76318389,76318549,76428766,76465340,76469912,76674819,76689890,76996708,76997278,77240686,77858773,78240949,78617278,78621973,78895443,79562192,79569493,79836960,80069806,80217570,80383415,80450931,80475164,80697013,80703124,80760200,80890815,81035278,81042656,81520296,81906793,82078606,82625640,82796763,82920949,83341924,83618226,83678446,83744233,84097706,84380533,84387315,84475966,84652153,84742549,84921748,85086255,85115811,85159424,85189884,85333955,85565408,85705010,85749699,86028651,86283536,86979049,87017278,87067573,87509113,87571006,87773173,87808078,87997490,88010575,88134016,88202878,88291346,88299349,88316520,88597924,89103750,89507466,89816580,90013136,90406366,90749528,90758672,90855225,91172988,91317049,91503406,91710333,91758408,92027868,92259988,92519278,92953845,93232191,93825124,93833449,93916213,94204288,94858815,95044000,95240878,95393653,95434923,95782846,95804352,96064178,96261084,96343163,96388460,96427924,96460098,96892115,96912240,97068978,97087849,97558078,98096686,98557726,98567575,98593333,98711278,98745699,99023524,99039855,99150768,99262460,99356085,99375253,99379826,99530773,...,828585660536202777345117375493561738157332253641204479824506007971033976902308823771026691767632812203943111371612311390219076812061104025960904194050448331827464247048317234172639435670753761204096919362162332720338912155534746212249840702069433418353020728691452822899595454478204749565430959909599790109765283033375244050916236862039994293421609373561338915321203304520146354434016849819241791513151674322866707831780144851826169366937496834460196891708103365322428183075292460553589727415456358318862907335570138314951334283487217913881643102079097900450246825748591083071903620645171489684477228929464591372023714881717893047379895283679027026244604459999391457938617773148910902805544812935703827196551424214613105147502345646408164355890910452469973121452658586045799630211533311764537662855296955145911516384575460920137777269146057388642087894717481407357241933652975477800308695384947533959773886797438712875351042958570631745094567815299030107764064215565473094105927001106548769272640126042249877191515117419096140961373921710391841515783843215989922161757128142668930113549281482705205540748852586140368123436617970545589626606992272039201271676891860298062626849621764594276463671610481644545860616349490870905860936456622597607614670690472174905573128606769294397030470594753251453441788877869061900710297994205743557774420128154830892188396571770902436408451671148146879397300560720128758082302878747196923917890935069971739922073755062752345200404283404474732275677168039647826328863572139971652879089641470271304351963544005524133449338959788089230483906038980230788363612498242196827141072946438076186397817601684726463830972537278906979604986275379331755219680469296427914997052322570512830738186670047126395747444937094789696707812100504482190481255829728326166243833867067011484673053917029293535900572374744990142698279128108187248210001077353571289418221918028135096432305543583232630750645784067302042533004807071200933703328815033142222220974115517973220301940177686664166989948380556738066626205235143201820668996367890092631275428200611395925468555336684128955937441465576704853224208503388339394223538116987336333886818508775040426531313637645776074385185699423460305661965667761073643162424173821917722352836022141552201979958618460071344046034386917967156830475242474230438305154936403457348105283595975810514800946835910507824243381814583584167461484821175844289994117152583812679525896721431740523004154694404684964418649948013209274347679272614237756286850199722567272335097718542334253324536448269469358998201987065787155450008000373164308354233993367073779303474137347478158933778110612293274003748125253223578867118704288082690997491241465533121535592341953866763228859219462248727394650926845902029138715436860884819681996090554564517377171980355291333644733781345159470366209192518497580213025848036089223643855836302597172573180693669145194593067944590042375344095124626933131392606786249340051781134439620412874674564095536717300890507009157266268661325959768717253103523131272299590356354529001569093881707448747566917802984284186526153253075100264542762729649209190611529665210992901568688615810826660062369883503529515172046739424790257141184765309677665174748762120326311551313557337516892870291873163298338219553744208856451759467406504488386831368770117704445927621363607515464871361486754215865467725932791798195062118629875050512255166462066099193268229593982974851303007806130018328458072805434045496350195097689775451074421409764198825301532020043192825790952712205821237014813834216418255452650327835118128374684106617310873220395288245462623928470009061924454072891785851678787812899559595886457096266899795711012375653709953471690042256363096730321667771203081693750762393025871779133679339159422404989002826025558436825702345922}
23787 343607700835157066029052112910730745336978567929926014978053910195727783028699: {784509,1164877,1212117,1639509,1664110,1996932,2162797,2209029,2377300,2635917,2852760,2920389,3042944,3062589,3089710,3160213,3209355,3423312,3444185,3660118,3707652,3851226,4015609,4133022,4514590,4866905,5228740,5417508,5655118,5840286,6009509,6149437,6274488,6795646,6864617,6892917,7058799,7575293,7600317,8024469,8078740,8784910,9285077,9316664,9568429,9694488,10128013,10306198,10481247,10541892,10705749,10906299,11128317,11500324,11704313,11733982,12297838,12477675,12558989,12816429,13309520,13372985,13518789,14468590,14723140,14854375,14973210,15296932,15762309,15971424,16042317,16047582,16192726,17071117,17145334,17298008,17362308,17568340,17606585,17667768,17825250,17902222,17967852,18060973,19013600,19135246,19282564,19460259,19591894,19857508,19876239,20421785,20751382,20997652,21082008,21124685,21127902,21390300,21852760,21900309,22816320,23166975,23189573,23704917,23717259,24337408,24387310,24506142,24584355,24711440,24813429,24975853,25349622,25668360,25782117,25801390,25961677,26223312,27205693,27379584,27434585,27443955,27546520,27800370,27858413,27988420,28401412,28876905,29264772,29273552,29413109,29501226,29516494,29531405,29653728,29856697,29899933,30296068,30681124,30802032,30961668,30989835,31695469,31981317,32382724,32392869,32671375,32684782,32848333,32921502,32932746,33055824,33360444,33422357,33479278,33586104,34036917,34310589,34652286,35437686,35459158,35534488,35557189,35679790,35801428,36118894,36772477,37088110,37134052,37187802,37784367,38724653,38812317,39205650,39710293,39976299,40639673,40750115,40849917,41217848,41499268,41819360,42166420,42362134,42714190,42815748,42882117,43042997,43369733,43625653,44503989,44505732,44596573,44809085,44916509,45313629,46370079,46371949,46547557,46916182,46926190,47046780,47387235,47827540,48063928,48771533,48900138,49202053,49290094,49947478,50183232,50287317,50443477,50526718,50546384,50599704,50655940,50900974,51120862,51257028,51358389,51598420,51695885,52294317,52382585,52532110,53362509,53466073,53638486,53754905,53770902,54071919,54903064,54969149,55041257,55202475,55312708,55514329,55893309,56311428,56413375,56456136,56557869,56690709,56728990,56864682,56924667,57179405,57241933,57298853,57393048,57984973,58214450,58546685,58801853,58882640,59004317,59028004,59139094,59164729,59342469,59358747,60213855,60268317,60587032,60664749,60787128,61089689,61765947,61878773,61918104,62035062,62160046,62248317,62404189,62859102,63038532,63385582,63513153,63628654,63709390,63951577,64228112,64505886,64567179,64633309,65036398,66192117,66242970,66496510,66847317,66911173,67008917,67060942,67696050,68074788,68155917,68160411,68213437,68385519,68569784,68615286,68755385,69190333,69616918,69657867,69857340,70256022,70414420,70505349,70659168,70665175,70912324,71108374,71206229,71330259,71353540,72062110,72209120,72256626,72297435,72457269,74014917,74261848,74303269,74403789,74448677,74514496,74869732,75498094,75805924,76451268,77117264,77141007,77276955,78066958,78475606,78761494,78883085,78924669,78983453,79405837,79413838,79439469,79491564,79547662,79795812,80075614,80288607,80525189,80898905,81235260,81774190,81801533,82135869,82391789,82392117,82428752,82506462,82911485,83163500,83544579,83828808,84325720,84484420,84497304,84612697,84798210,84916975,85409662,85589885,85624248,86068375,86474532,86512228,86606349,86650944,86756922,87243934,87594905,87751149,87878229,87982635,88534894,89043869,89468068,89758973,90451424,91515502,91996375,92055454,92437198,92473733,92616982,92732346,92766373,92909140,92925785,93027373,93230057,93716917,93848144,93947326,94254905,94307409,94440013,94659702,94866435,95059467,95581675,95587390,95606453,96245885,96327279,97078686,97482312,98129028,98395798,98462077,98571844,99092229,99409597,99452740,99493782,99796200,99841389,...,1242878490804304166017676063240342607235998380461806719736759011956550965353463235656540037651449218305914667057418467085328615218091656038941356291075672497741196370572475851258959153506130641806145379043243499080508368233302119318374761053104150127529531093037179234349393181717307124348146439864399685164647924550062866076374355293059991440132414060342008372981804956780219531651025274728862687269727511484300061747670217277739254050406245251690295337562155047983642274612938690830384591123184537478294361003355207472427001425230826870822464653118646850675370238622886624607855430967757234526715843394196887058035572322576839571069842925518540539366906689999087186907926659723366354208317219403555740794827136321919657721253518469612246533836365678704959682178987879068699445317299967646806494282945432718867274576863191380206665903719086082963131842076222111035862900479463216700463043077421300939660830196158069313026564437855947617641851722948545161646096323348209641158890501659823153908960189063374815787272676128644211442060882565587762273675764823984883242635692214003395170323922224057808311123278879210552185154926955818384439910488408058801907515337790447093940274432646891414695507415722466818790924524236306358791404684933896411422006035708262358359692910153941595545705892129877180162683316803592851065446991308615336661630192232246338282594857656353654612677506722220319095950841080193137123454318120795385876836402604957609883110632594128517800606425106712098413515752059471739493295358209957479318634462205406956527945316008286200174008439682133845725859058470346182545418747363295240711609419657114279596726402527089695746458805918360469407479413068997632829520703944641872495578483855769246107280005070689593621167405642184545061718150756723285721883744592489249365750800600517227009580875543940303850858562117485214047418692162280872315001616030356934127332877042202644648458315374848946125968676100953063799507210606801400554993222549713333331461173276959830452910266529996250484922570835107099939307852714802731003494551835138946913142300917093888202833005026193433906162198365057279836312755082509091335307175481004500830227763162560639796970456468664111577778549135190458492948501641610464743636260732876583529254033212328302969937927690107016069051580376950735245712863711345657457732404605186022157925393963715772201420253865761736365072721875376251192227231763766434991175728875719019288845082147610784506232041607027446627974922019813911521518908921356634430275299583850908502646577813501379986804672404204038497302980598680733175012000559746462531350990050610668955211206021217238400667165918439911005622187879835368300678056432124036496236862198299682303388512930800144843288829193373091091976390268853043708073155291327229522994135831846776065757970532937000467100672017739205549313788777746370319538772054133835465783754453895758859771040503717791889601916885063563016142686940399697088910179374010077671701659430619312011846143305075951335760513735899402991988939653075879655284696908449385534531793502353640822561173121350376704476426279789229879612650396814144094473813785917294497816489352353032923716239990093554825255294272758070109137185385711777147964516497762123143180489467326970336006275339305437809744947507329330616313284677639201109756732580247053155176556668891432045411273197307042230131323798201588899187697292593177944812575768382749693099148789902344390974462276954511709195027492687109208151068244525292646534663176611632114646298237952298030064789238686429068308731855522220751324627383178975491752677192562026159925966309830592932368193935892705013592886681109337678777518181719349339393829685644400349693566518563480564930207535063384544645095482501656804622540626143589538807668700519008739133607483504239038337655238553518883}
23788 344819509848581034860299591257713737932075831442867802989894405093854121903403: {618098,903146,973627,1046012,1115827,1616156,2041898,2186012,2392387,2496165,2662576,2945372,2971625,2995398,3178346,3514556,3565950,3803680,3893852,4083452,4226011,4279140,4564416,4595666,4634565,4943536,5134968,5161586,5348347,5490177,5510696,5561478,5628211,5776839,5907787,6047467,6199533,6535925,6771885,7223344,7419506,7701098,7787048,7843110,8126262,8152081,8365984,8482677,8760429,9102211,9106898,9190556,9411732,9791611,10066867,10098425,10133756,10193469,10479211,10509098,10699292,10753747,10789106,10890907,11438827,11645830,11849011,12118110,12925984,13023986,13177365,13618987,13890211,13974996,14055856,14274332,14375405,14541732,14694098,14837756,15135757,15459297,15812838,16183987,16636900,17088572,17250486,17523547,17600973,18025052,18403925,18446757,18988747,19121165,19964280,20181067,20313187,20840947,21016412,21236011,21295232,21389756,21396776,21622510,21702885,21960425,22084710,22155307,22286347,22459815,22945398,23149744,23201611,23557024,23767000,23853211,23957136,24071373,24103205,24113347,24289089,24762427,24821885,24892027,25151011,25614358,25718001,25947012,26043462,26055187,26247065,26352510,26501652,26737875,26783186,26853333,26951778,27315950,27468907,28109344,28170536,28410098,28520400,28680746,28702869,28746547,28923846,29200412,29382667,29387841,29636611,29761898,29786262,30421760,30889300,31092677,31127073,31496478,31606556,31623012,31691853,32085450,32160211,32674856,32779140,33036667,33084572,33527786,33660547,33795698,33799496,34224480,34376156,34433150,34655011,34865906,34964416,34985525,35400146,35501765,36065617,36506112,36580965,36591940,36759213,37067160,37363469,37488427,37733011,37797098,37870085,37977307,38024433,38351405,38502540,38702085,39019696,39334968,39538304,39800347,40478405,41069376,41126947,41282224,41319780,41700555,41727067,41982630,42055937,42564211,42602118,42641756,43190492,43895336,43897158,43910328,44074432,44228086,44251839,44274741,44418110,44480592,44751785,44781472,45289987,45382556,45444102,45747452,45963986,46021686,46203048,46346227,46417565,46442502,47250248,48040181,48568946,48574086,48788107,49027173,49347626,49364827,49382253,49399119,49583736,50040666,50218917,50379156,50642546,50970067,51522310,51539947,51749756,51874085,51978429,52108027,52221427,52274200,52708025,53013653,53156529,53188737,53301732,53519685,53702142,54178341,54466556,54594353,54762098,55256011,55632165,55701078,55781703,55786226,56199598,56698387,56919211,57087664,57176156,57470011,57728957,58347547,58590698,58808475,59338652,59340976,59784425,59998561,60079910,60418172,60737011,61275211,61826772,62248902,62346211,62729040,63091627,63182980,63230486,63249630,63319925,63543201,64071285,64223622,64498025,64979117,65200184,66076769,66150698,66758598,66910976,67049756,67466272,67477606,68342704,68416027,68477852,68628830,69132211,69140885,69725756,70351747,70374273,70389285,70570170,70856827,70871666,71150012,71460547,71661211,71694536,71741310,71961667,72095892,72105386,72125158,73335506,73350207,73581098,73603300,73652011,73785005,73849507,73935141,74524412,74806898,74921217,75081904,75274848,75410492,75419107,75478997,75587612,75733790,75790077,75819576,75899556,75905827,75983910,76029098,76238773,76351461,76524064,76681293,76777387,76885542,77004266,77397630,77490986,78084149,78312427,78462698,78705266,78798165,79123292,79144996,79923211,80285140,80357756,80393011,80457729,80580427,80656353,80886332,81049504,81140947,82117126,82354596,82438747,82530907,82557472,82713416,82715011,82969062,82997756,83812136,84051376,84351773,84467142,84684204,85093485,85262227,85297023,85442011,85712230,86007848,86089572,86629226,87104426,87321675,88018025,88256156,88289906,88323960,88542006,88640405,88708641,88977211,89129756,89191925,89194937,90261400,90444787,90766384,90874556,90880548,90957787,91180692,91487048,91590098,92144707,92228947,92397211,92527826,92816611,92827310,92877156,93052593,93143120,93240069,93587165,93674696,94007132,94212224,94288653,94476211,94557798,94757405,95078373,95107012,95131987,95442981,95564085,96268507,96342168,96396580,96609692,96758829,97554597,97644146,97695158,98336426,98566898,98686556,99126187,99205052,99364455,99388198,99515707,99744765,...,1657171321072405554690234750987123476314664507282408959649012015942067953804617647542053383535265624407886222743224622780438153624122208051921808388100896663654928494096634468345278871341507522408193838724324665440677824311069492424499681404138866836706041457382905645799190908956409499130861919819199580219530566066750488101832473724079988586843218747122677830642406609040292708868033699638483583026303348645733415663560289703652338733874993668920393783416206730644856366150584921107179454830912716637725814671140276629902668566974435827763286204158195800900493651497182166143807241290342979368954457858929182744047429763435786094759790567358054052489208919998782915877235546297821805611089625871407654393102848429226210295004691292816328711781820904939946242905317172091599260423066623529075325710593910291823032769150921840275554538292114777284175789434962814714483867305950955600617390769895067919547773594877425750702085917141263490189135630598060215528128431130946188211854002213097538545280252084499754383030234838192281922747843420783683031567686431979844323514256285337860227098562965410411081497705172280736246873235941091179253213984544078402543353783720596125253699243529188552927343220963289091721232698981741811721872913245195215229341380944349811146257213538588794060941189506502906883577755738123801420595988411487115548840256309661784376793143541804872816903342296293758794601121440257516164605757494393847835781870139943479844147510125504690400808566808949464551354336079295652657727144279943305758179282940542608703927088011048266898677919576178460967812077960461576727224996484393654282145892876152372795635203369452927661945074557813959209972550758663510439360938592855829994104645141025661476373340094252791494889874189579393415624201008964380962511659456652332487667734134022969346107834058587071801144749489980285396558256216374496420002154707142578836443836056270192864611087166465261501291568134604085066009614142401867406657630066284444441948231035946440603880355373328333979896761113476133252410470286403641337992735780185262550856401222791850937110673368257911874882931153409706448417006776678788447076233974672667773637017550080853062627275291552148770371398846920611323931335522147286324848347643835444705672044283104403959917236920142688092068773835934313660950484948460876610309872806914696210567191951621029601893671821015648486763629167168334922969642351688579988234305167625359051793442863481046008309388809369928837299896026418548695358545228475512573700399445134544670195437084668506649072896538938717996403974131574310900016000746328616708467986734147558606948274694956317867556221224586548007496250506447157734237408576165381994982482931066243071184683907733526457718438924497454789301853691804058277430873721769639363992181109129034754343960710582667289467562690318940732418385036995160426051696072178447287711672605194345146361387338290389186135889180084750688190249253866262785213572498680103562268879240825749349128191073434601781014018314532537322651919537434506207046262544599180712709058003138187763414897495133835605968568373052306506150200529085525459298418381223059330421985803137377231621653320124739767007059030344093478849580514282369530619355330349497524240652623102627114675033785740583746326596676439107488417712903518934813008976773662737540235408891855242727215030929742722973508431730935451865583596390124237259750101024510332924132198386536459187965949702606015612260036656916145610868090992700390195379550902148842819528397650603064040086385651581905424411642474029627668432836510905300655670236256749368213234621746440790576490925247856940018123848908145783571703357575625799119191772914192533799591422024751307419906943380084512726193460643335542406163387501524786051743558267358678318844809978005652051116873651404691844}
23789 346035564843148070383205159188918085952812853550270668660584932891358623974961: {23789,927147,1307515,1354719,1569018,2020195,2329754,2424234,2732515,2875807,3062847,3279018,3328220,3681715,3993864,4325594,4393195,4418058,4443307,4493097,4754600,4767519,4821859,4867315,5104315,5271834,5348925,5705520,5840778,6085888,6125178,6179420,6320426,6418710,6813667,6846624,6888370,6893499,7102147,7320236,7415304,7672219,7702452,7742379,8031218,8097727,8266044,8342217,8952619,9029180,9662587,9733810,10377439,10457480,10835016,11129259,11310236,11488195,11551647,11680572,11705299,11764665,12019018,12189393,12298874,12511507,12548976,12560047,12667195,13081291,13374115,13591292,13660347,13729234,13785834,14117598,15150586,15200634,15393631,15763647,16048938,16157480,16183659,17468745,17569820,17842915,18177165,18547195,18570154,18633328,18722179,19136858,19388976,19535979,20256026,20612396,20796125,20962494,21083784,21360715,21370819,21411498,21812598,22041147,22256634,22531315,23000648,23191531,23408626,23467964,23719257,24595676,24649219,24955350,25117978,25632858,25640239,25875729,26270515,26305147,26619040,26737195,26745970,27037578,27405859,27860767,28201891,28379131,28590499,28937180,29446280,29574559,29708750,29946420,30593864,31524618,31942848,32084634,32095164,32385452,32433765,32923579,33127065,33425179,34142234,34290668,34418097,34596016,34724616,34760947,35136680,35213170,35335536,35650500,35804444,35935704,36121946,36500515,37354399,38027200,38270492,38408419,38421537,38565128,38611625,38727931,38920518,39065193,39183788,39244447,39508195,39528765,39715016,39752478,40174779,40427667,40643107,40843570,40973925,41343967,41355715,41444419,41502764,41995304,42164016,42249370,42255804,42615147,42780600,42970195,43021119,43039279,43385769,43705520,43800618,43847539,44642847,44679393,45420811,45632640,45739925,45765499,46333950,46379146,46466431,47244717,47409834,47434518,48106879,48128175,48466819,48674816,48774620,48775651,49012284,49168710,49422880,49626858,49951706,50145379,50291679,50693547,50699244,51100027,51255139,51336720,51564234,51602780,51649725,51923354,52135087,52298859,52446624,52805539,53083147,53100219,53302195,53988115,54411386,54699007,54759168,54869170,54887910,55093040,55600740,55716826,55844779,55976840,56057647,56695647,56728195,56802824,56990539,57050161,57184315,57303691,57753810,58529544,58547104,58826218,59002452,59009299,59032988,59062810,59241187,59307456,59319931,59713394,59799866,59837059,60093919,60592136,61094851,61362248,61516699,61604064,61884031,61923336,61979670,62396587,62732719,62973945,63390938,63903177,63962634,64687195,64765448,64785738,65302771,65342750,65369564,65420539,65696666,65843004,65845737,65865492,66111648,66342129,66564019,66627165,66720888,66844714,66958556,67172208,68073834,68083195,68166153,68621178,68923747,68945979,69032529,69304572,69404659,69493099,69563131,69663753,70875372,70918316,71068976,71114378,71359580,71470195,71602856,71793499,72237788,72374239,72629227,72687499,72853419,72861129,73129459,73335619,73544954,74021439,74037979,74173315,74176220,74268104,74375604,74454979,74892319,75060999,75256867,75522715,75535519,75568734,75963819,76567507,76663891,77283465,77449306,77624634,77922259,78411300,78978725,78990127,79420586,79952598,80051167,80553213,81208339,81279346,81500230,81699834,81965359,82143147,82398751,82435696,82998536,83551617,83638720,83679339,83812195,84048619,84299397,84332840,84453247,84513307,84724268,85184731,85252099,85370527,85428380,85597315,85631496,85764234,86085994,86739466,87040339,87157195,87251306,87860719,87886047,88487647,88937515,89007978,89011464,89193146,89274259,89436127,89618170,89766571,89833018,90119865,90627258,90643759,91552147,92004125,92740158,92743898,93095114,93155515,93237979,93373353,93539839,93832364,93852380,93854179,93876547,94093560,94263115,94484515,94774470,94845729,94874445,95655080,95949247,96127856,96257539,96335433,96406507,96674539,97543066,97550431,97800276,98404106,98580188,98904115,98931245,99226047,99894956,...,2485756981608608332035352126480685214471996760923613439473518023913101930706926471313080075302898436611829334114836934170657230436183312077882712582151344995482392741144951702517918307012261283612290758086486998161016736466604238636749522106208300255059062186074358468698786363434614248696292879728799370329295849100125732152748710586119982880264828120684016745963609913560439063302050549457725374539455022968600123495340434555478508100812490503380590675124310095967284549225877381660769182246369074956588722006710414944854002850461653741644929306237293701350740477245773249215710861935514469053431686788393774116071144645153679142139685851037081078733813379998174373815853319446732708416634438807111481589654272643839315442507036939224493067672731357409919364357975758137398890634599935293612988565890865437734549153726382760413331807438172165926263684152444222071725800958926433400926086154842601879321660392316138626053128875711895235283703445897090323292192646696419282317781003319646307817920378126749631574545352257288422884121765131175524547351529647969766485271384428006790340647844448115616622246557758421104370309853911636768879820976816117603815030675580894187880548865293782829391014831444933637581849048472612717582809369867792822844012071416524716719385820307883191091411784259754360325366633607185702130893982617230673323260384464492676565189715312707309225355013444440638191901682160386274246908636241590771753672805209915219766221265188257035601212850213424196827031504118943478986590716419914958637268924410813913055890632016572400348016879364267691451718116940692365090837494726590481423218839314228559193452805054179391492917611836720938814958826137995265659041407889283744991156967711538492214560010141379187242334811284369090123436301513446571443767489184978498731501601201034454019161751087880607701717124234970428094837384324561744630003232060713868254665754084405289296916630749697892251937352201906127599014421213602801109986445099426666662922346553919660905820533059992500969845141670214199878615705429605462006989103670277893826284601834187776405666010052386867812324396730114559672625510165018182670614350962009001660455526325121279593940912937328223155557098270380916985897003283220929487272521465753167058508066424656605939875855380214032138103160753901470491425727422691314915464809210372044315850787927431544402840507731523472730145443750752502384454463527532869982351457751438038577690164295221569012464083214054893255949844039627823043037817842713268860550599167701817005293155627002759973609344808408076994605961197361466350024001119492925062701980101221337910422412042434476801334331836879822011244375759670736601356112864248072992473724396599364606777025861600289686577658386746182183952780537706087416146310582654459045988271663693552131515941065874000934201344035478411098627577555492740639077544108267670931567508907791517719542081007435583779203833770127126032285373880799394177820358748020155343403318861238624023692286610151902671521027471798805983977879306151759310569393816898771069063587004707281645122346242700753408952852559578459759225300793628288188947627571834588995632978704706065847432479980187109650510588545516140218274370771423554295929032995524246286360978934653940672012550678610875619489895014658661232626569355278402219513465160494106310353113337782864090822546394614084460262647596403177798375394585186355889625151536765499386198297579804688781948924553909023418390054985374218416302136489050585293069326353223264229292596475904596060129578477372858136617463711044441502649254766357950983505354385124052319851932619661185864736387871785410027185773362218675357555036363438698678787659371288800699387133037126961129860415070126769089290190965003313609245081252287179077615337401038017478267214967008478076675310477107037766}
23790 347255880599455672509361803231041410483426523461456343727082342312332130079655: {404141,546641,689069,878861,1021121,1115921,1236196,1684049,1806292,1947254,2092024,2231654,2353527,2392589,2439761,2675501,3005201,3232312,3494631,3636351,3710381,3851201,3945041,4083796,4160275,4273229,4372024,4507409,4647821,4784774,4918527,4992330,5255441,5325152,5348801,5395469,5488781,5675309,5890744,5908289,5943250,5990796,6356692,6488391,6606029,6627087,6884621,7029112,7131900,7440941,7607360,7724275,7764929,7787704,7907751,8166904,8411729,8452022,8558280,8734541,8761167,9128832,9150295,9187767,9191332,9269130,9480639,9628065,9792449,9838349,9887072,10113581,10269936,10323172,10332555,10663181,10696694,10800401,10980354,11021392,11122956,11165969,11256422,11286475,11553678,11622209,11815574,12046827,12094934,12123149,12399066,13071850,13076801,13543770,13620161,13755821,13936589,14137795,14297741,14446688,14600715,14613329,14839012,14973521,15243329,15402196,15557741,15574096,15686220,15961409,16252524,16304162,16364429,16588049,16731968,16766801,16900781,16965354,16989115,17302289,17520858,17525069,17703149,17792141,18028527,18103361,18204422,18213796,18325421,18381112,18448311,18823464,18990401,19034669,19565261,19583222,20125567,20133734,20196850,20226881,20267512,20386938,20593851,20678751,20958422,21018196,21018449,21176397,21237869,21398584,21413261,21507494,21578212,21781814,21962275,22419281,22725879,22800951,22877654,23073101,23247149,23291660,23638289,23698022,23855309,23898689,24073407,24158801,24236220,24288749,24764609,24807821,25765495,25851968,26047972,26057489,26100461,26354730,26486849,26769631,27237974,27471341,27599441,27780422,27855231,27949992,28111712,28153709,28366529,28548664,28705287,28750810,28791569,29003789,29083464,29334955,29385281,29388196,29675512,29681549,30271514,30384039,30744595,30918594,30946829,31325009,31443741,31534829,31625676,31828241,32117247,32330321,32367974,32718897,33081281,33164561,33273800,33384951,33414209,33663569,33744487,34078529,34177144,34327121,34500972,34750639,35047094,35112939,35201946,35442221,35524589,35894849,36050104,36171475,36264461,36674381,36745891,36807850,36879041,36893514,37433025,37491821,37532609,37676967,37977494,38021441,38242330,38449287,38630861,38752529,39117101,39319361,39928560,40118955,40362134,40481815,40528721,40556367,40626374,40809869,41170769,41681894,42032824,42209729,42472022,42568109,42590464,42607889,42779512,42793552,42863335,43044941,43245020,43322561,43405770,43639361,43916141,43920850,44156827,44169420,44310614,44350289,44563125,44572694,44626061,44755555,44822801,44919630,45333389,45890796,46116269,46299488,46350509,46389521,46403222,47090369,47114048,47286927,47534000,47556161,47706422,47749901,47838115,47904749,47914272,48126951,48142746,48206410,48226694,48578178,48792641,48831149,48908141,48979735,49177361,49369421,49524854,49599629,49643770,49702471,49784054,50302022,50517581,50784449,51012881,51126989,51203021,51213351,51228716,51317009,51436002,51544769,51878455,51894024,52086924,52110374,52494130,52603841,52705020,52716941,52792301,52819755,53003304,53018119,53475750,53566372,53619149,53691967,53706666,53903556,54031121,54182919,54631900,54703169,54937814,55483949,55706381,55965521,56218688,56341072,56630081,56669767,56740589,56820196,57040800,57361492,57405738,57475469,57493094,57512129,57847692,58170641,58353101,58380777,58400824,58571789,58765334,58775682,59273222,59523796,59552321,59572524,59628717,59697089,59877869,60346961,60634961,60843520,60886541,60968275,61265355,61778600,62185354,62254146,62387789,62652499,62707649,62992956,63026861,63097709,63213112,63246024,63374055,63383706,63839681,64170900,64297229,64320422,64503475,64520599,64984591,65243201,65349712,65558280,65700927,65731409,66073334,66169144,66875981,67055572,67321094,67591396,67598992,67737281,67840301,68225131,68422721,68448960,68627729,68752312,68866300,69173009,69310022,69500925,69568719,69731812,69885581,69928832,69971050,70156109,70291181,70392401,70459841,70800292,71003530,71114751,71151777,71501069,71701709,71968781,72002129,72131234,72202049,72623719,72800081,72899501,72965741,73012224,73161930,73183880,73395521,73518426,73753065,73791235,73889741,73955501,74134320,74349389,74440287,74644049,74726938,74774801,74927559,74970689,74976854,75329069,75426641,75459149,75466022,75594196,75621569,75740170,75848621,75913421,75954614,76048866,76702810,76817261,76978001,77005080,77202701,77346351,77404170,77885031,77938241,78033869,78039392,78090727,78320321,78669936,78986189,79076608,79365101,79585601,79600694,79962689,80307341,80588609,80619821,80956810,81180269,81617079,81711955,82138752,82253894,82303755,82331865,82564448,82570049,82639560,82754129,83182529,83401110,83454134,83548481,83575239,83639789,83698195,83965260,84111874,84216401,84358879,84548909,84669581,84760001,84910541,85128422,85204236,85283512,85450829,86167181,86380984,86523629,86630715,87056141,87144641,87790672,87794316,87820656,88025681,88148864,88239327,88456172,88503678,88549482,88594215,88647895,88836220,88961184,88986509,89015489,89199475,89202451,89503570,89562944,89570091,89699799,89766161,90024749,90297235,90568529,90579974,90765112,90888204,90995789,91392941,91494904,91590929,91927972,92043372,92154449,92238701,92281267,92406096,92692454,92720275,92835130,92885004,92969505,92993729,93271889,93770561,93853421,93991361,94275511,94500496,94760129,95005901,95086407,95305409,95576849,95943951,96036461,96080362,96627821,96797239,97137892,97148172,97162061,97178607,97576214,97640141,97957421,98014125,98054346,98115629,98431181,98544999,98614721,98667089,98695252,98729654,98764506,98798238,99167472,99215021,99552449,99688459,99785261,99940109,...,3728635472412912498053028189721027821707995141385420159210277035869652896060389706969620112954347654917744001172255401255985845654274968116824068873227017493223589111717427553776877460518391925418436137129730497241525104699906357955124283159312450382588593279111537703048179545151921373044439319593199055493943773650188598229123065879179974320397242181026025118945414870340658594953075824186588061809182534452900185243010651833217762151218735755070886012686465143950926823838816072491153773369553612434883083010065622417281004275692480612467393959355940552026110715868659873823566292903271703580147530182590661174106716967730518713209528776555621618100720069997261560723779979170099062624951658210667222384481408965758973163760555408836739601509097036114879046536963637206098335951899902940419482848836298156601823730589574140619997711157258248889395526228666333107588701438389650101389129232263902818982490588474207939079693313567842852925555168845635484938288970044628923476671504979469461726880567190124447361818028385932634326182647696763286821027294471954649727907076642010185510971766672173424933369836637631656555464780867455153319731465224176405722546013371341281820823297940674244086522247167400456372773572708919076374214054801689234266018107124787075079078730461824786637117676389631540488049950410778553196340973925846009984890576696739014847784572969060963838032520166660957287852523240579411370362954362386157630509207814872829649331897782385553401819275320136295240547256178415218479886074629872437955903386616220869583835948024858600522025319046401537177577175411038547636256242089885722134828258971342838790179207581269087239376417755081408222438239206992898488562111833925617486735451567307738321840015212068780863502216926553635185154452270169857165651233777467748097252401801551681028742626631820911552575686352455642142256076486842616945004848091070802381998631126607933945374946124546838377906028302859191398521631820404201664979667649139999994383519830879491358730799589988751454767712505321299817923558144408193010483655505416840739426902751281664608499015078580301718486595095171839508938265247527274005921526443013502490683289487681919390911369405992334733335647405571375478845504924831394230908782198629750587762099636984908909813783070321048207154741130852205737138591134036972373197213815558066473776181891147316604260761597285209095218165626128753576681695291299304973527186627157057866535246442832353518696124821082339883924766059441734564556726764069903290825898751552725507939733440504139960414017212612115491908941796042199525036001679239387594052970151832006865633618063651715202001497755319733016866563639506104902034169296372109488710586594899046910165538792400434529866487580119273275929170806559131124219465873981688568982407495540328197273911598811001401302016053217616647941366333239110958616316162401506397351263361687276579313121511153375668805750655190689048428060821199091266730538122030233015104978291857936035538429915227854007281541207698208975966818959227638965854090725348156603595380507060922467683519364051130113429278839367689638837951190442432283421441357751883493449468057059098771148719970280664475765882818274210327411556157135331443893549493286369429541468401980911008018826017916313429234842521987991848939854032917603329270197740741159465529670006674296136233819591921126690393971394604766697563091877779533834437727305148249079297446369707033172923386830863535127585082478061327624453204733575877939603989529834896343938894713856894090194367716059287204926195566566662253973882149536926475258031577686078479777898929491778797104581807678115040778660043328013036332554545158048018181489056933201049080699555690441694790622605190153633935286447504970413867621878430768616423006101557026217400822450512717115012965715660556649}
23791 348480471949219301890988316693835702385951615311869404404390432889661972868415: {47578,1545245,1830521,1854294,2257865,2615030,2709438,2828273,2920881,3138036,3347481,3398681,3825521,4040390,4659508,4848468,4966049,5104745,5154401,5251181,5465030,5751614,6125694,6150473,6558036,6656440,6814241,7146041,7177161,7363430,7488495,7945865,7987728,8574833,8651188,8786390,8836116,8886614,8914875,8986194,9509200,9535038,9570041,9643718,9663401,9734630,10208630,10543668,10697850,11411040,11419421,11489165,11681556,12171776,12250356,12358840,12512561,12640852,12678033,12837420,12903965,13082393,13627334,13693248,13776740,13786998,13903695,13983449,14204294,14640472,14830608,15344438,15404904,15484758,15915449,16045041,16062436,16083473,16195454,16470531,16532088,16684434,16884633,17330517,17723361,17734073,17905238,18058360,18142401,18192473,18548765,18598599,18723761,19252745,19325174,19467620,19607775,20315655,20754878,20914960,21670032,22258518,22620472,22767245,22976390,23103294,23361144,23410598,23529330,23885033,24038036,24378786,24456243,24597748,24980081,25023014,25097952,25120094,25334390,25448031,25966073,26162582,26272745,26281287,26748230,26826041,26972765,27182584,27306633,27320694,27408173,27458468,27571668,28235196,28381529,29114575,29374833,29577593,29905001,30146849,30200601,30295275,30301172,30401268,30580407,30787262,31087901,31437633,31527294,31543841,32097876,32261241,32314960,32367318,32559965,32672721,32926361,33538973,34316481,34937490,35139640,35547033,35685830,36354330,36735245,36778721,37094390,37140308,37266656,37357553,37432073,37444358,38273716,38777952,39043373,39071958,39247769,39532095,40512052,40796921,40856961,41224792,41447921,41592250,41670633,41924988,42167568,42721430,42741638,42822996,43042913,43126215,43625196,44082294,44513268,45062630,45407271,45424649,45769373,46001296,46320233,46377891,46379801,46383062,46817252,46935928,46985609,47438514,48551961,49006073,49191352,49298438,49910700,50149613,50235956,51100721,51265716,51280478,51618809,51751458,52139489,52541030,52570641,52610294,52802919,52810001,53238080,53474390,53491940,53603681,54056275,54075156,54811718,54914873,55211775,55311473,55340271,55721534,56403782,56758262,56966241,57180998,57363495,57785321,57874360,57898001,58720073,58892560,59149118,59246189,59417500,59892840,60098993,60158273,60390941,60543201,60640241,60920921,60939561,61187728,62131001,62401889,62414753,62522841,63049236,63708033,63885696,64035895,64169268,64190328,64644281,64770904,64867530,65108655,65308289,65847158,65881275,66254130,66465921,66850358,66859041,66876713,66957965,67379445,68284468,68289875,68581336,68836194,69192032,69449232,69521894,69604833,70080329,70105373,70273360,70426340,70671072,70865261,71025245,71154641,71301000,71559633,71608888,71701865,71871408,72214119,72243892,72285881,72309615,72340041,72595661,72693641,72867267,73001030,73117073,73135673,73146161,73741421,74287281,74404745,74465655,74558873,74623073,74676081,74708798,75453033,75541913,75583361,76054400,76540984,76547741,76670369,76816838,76843074,77130256,77154003,77223250,77369261,77455862,77569913,77841036,78130386,78165561,78367576,78488894,78741195,79016390,79057530,79268321,79419473,79430032,79504956,80058041,80213625,80239793,80349558,80403593,80559999,80855334,81215201,81286214,81687140,81947850,82210973,82406721,82687934,82711430,82888838,83005528,83819465,83990608,84055721,84328032,84489245,84498740,84511608,84520481,85191929,85230294,85561200,85575449,85834541,85940390,86042238,86078558,86082875,86108607,86239641,86771538,87164765,87411040,87601236,87695078,88072349,88148001,88163523,88500365,88909833,89285694,89358786,89951609,90562073,90841622,91265280,91479850,91530998,92667900,92758292,92932862,93043121,93278031,93381219,94456049,94489434,94492745,94819668,94869036,95075559,95224313,95316473,95957369,96213758,96256350,96480633,96710681,96933638,97349632,97549240,97551302,98024568,98337420,98845760,99110001,99253716,99777113,99903412,...,4971513963217216664070704252961370428943993521847226878947036047826203861413852942626160150605796873223658668229673868341314460872366624155765425164302689990964785482289903405035836614024522567224581516172973996322033472933208477273499044212416600510118124372148716937397572726869228497392585759457598740658591698200251464305497421172239965760529656241368033491927219827120878126604101098915450749078910045937200246990680869110957016201624981006761181350248620191934569098451754763321538364492738149913177444013420829889708005700923307483289858612474587402701480954491546498431421723871028938106863373576787548232142289290307358284279371702074162157467626759996348747631706638893465416833268877614222963179308545287678630885014073878448986135345462714819838728715951516274797781269199870587225977131781730875469098307452765520826663614876344331852527368304888444143451601917852866801852172309685203758643320784632277252106257751423790470567406891794180646584385293392838564635562006639292615635840756253499263149090704514576845768243530262351049094703059295939532970542768856013580681295688896231233244493115516842208740619707823273537759641953632235207630061351161788375761097730587565658782029662889867275163698096945225435165618739735585645688024142833049433438771640615766382182823568519508720650733267214371404261787965234461346646520768928985353130379430625414618450710026888881276383803364320772548493817272483181543507345610419830439532442530376514071202425700426848393654063008237886957973181432839829917274537848821627826111781264033144800696033758728535382903436233881384730181674989453180962846437678628457118386905610108358782985835223673441877629917652275990531318082815778567489982313935423076984429120020282758374484669622568738180246872603026893142887534978369956997463003202402068908038323502175761215403434248469940856189674768649123489260006464121427736509331508168810578593833261499395784503874704403812255198028842427205602219972890198853333325844693107839321811641066119985001939690283340428399757231410859210924013978207340555787652569203668375552811332020104773735624648793460229119345251020330036365341228701924018003320911052650242559187881825874656446311114196540761833971794006566441858974545042931506334117016132849313211879751710760428064276206321507802940982851454845382629830929618420744088631701575854863088805681015463046945460290887501505004768908927055065739964702915502876077155380328590443138024928166428109786511899688079255646086075635685426537721101198335403634010586311254005519947218689616816153989211922394722932700048002238985850125403960202442675820844824084868953602668663673759644022488751519341473202712225728496145984947448793198729213554051723200579373155316773492364367905561075412174832292621165308918091976543327387104263031882131748001868402688070956822197255155110985481278155088216535341863135017815583035439084162014871167558407667540254252064570747761598788355640717496040310686806637722477248047384573220303805343042054943597611967955758612303518621138787633797542138127174009414563290244692485401506817905705119156919518450601587256576377895255143669177991265957409412131694864959960374219301021177091032280436548741542847108591858065991048492572721957869307881344025101357221751238979790029317322465253138710556804439026930320988212620706226675565728181645092789228168920525295192806355596750789170372711779250303073530998772396595159609377563897849107818046836780109970748436832604272978101170586138652706446528458585192951809192120259156954745716273234927422088883005298509532715901967010708770248104639703865239322371729472775743570820054371546724437350715110072726877397357575318742577601398774266074253922259720830140253538178580381930006627218490162504574358155230674802076034956534429934016956153350620954214075532}
23792 349709353775448018656642273709723663330343021035329122989577703409136938789351: {71367,451687,736591,808282,1093282,1378138,1731487,1757722,2042242,2231842,2439967,2472392,2781441,3368098,3612584,3851527,3894508,3922545,4064157,4184048,4463308,4554607,4695007,4707054,4785178,4879522,4975591,5351002,5395927,5824385,6010402,6060585,6464624,6653047,6989262,7272702,7420762,7702402,7890082,8167592,8197545,8320550,8546458,8627421,8744048,9014818,9188541,9295642,9569548,9837054,9839191,9984660,10510882,10650304,10697602,10790938,10813985,10977562,11045145,11350618,11623207,11781488,11816578,11886500,11981592,12169687,12578791,12713384,12810413,12976782,13179585,13212058,13254174,13329921,13479291,13769242,14058224,14263800,14302557,14344087,14465577,14601945,14881882,15214720,15289591,15312945,15448550,15529858,15575408,15801065,15815502,16046775,16333808,16823458,16902247,16904044,17036167,17116560,17220925,17303791,17469082,17522334,18257664,18300590,18375534,18382664,18538260,18961278,19036327,19256130,19584898,19676698,19774144,19792913,20078045,20227162,20441001,20539872,20646344,20665110,20680497,21306441,21326362,21393388,21600802,21960708,22042784,22245912,22331938,22512844,22572950,22988047,23016657,23107356,23227137,23244418,23631148,23784761,23900791,24093654,24189868,24246298,24293181,24334525,24798132,24810007,25026651,25457287,26102767,26143700,26153602,26489191,26857857,27087540,27240322,27511642,27873178,28156207,28275590,28595482,28893376,28987761,29048791,29201430,29226658,29678024,29947042,30047545,30486658,30747185,30804392,31115482,31132317,31148192,31372440,31831087,31922818,32505048,32608324,32728858,33176098,33209167,33387777,33463936,33533602,33801562,33930708,33978230,34323085,34464585,34604578,34654941,35041716,35050138,35115897,35293995,35406298,35584282,35939191,36057054,36071693,36206722,36408844,36427592,36568179,36650842,36762224,36800527,36896622,36923287,37534521,37536007,37646928,37680141,37876465,37980802,38001585,38069338,38390791,38634367,39130522,39166444,39243873,39363367,39605791,40122345,40210591,40251134,40267468,40393700,40453762,40535024,40773876,40981041,41068937,41187702,41357502,41916844,42036392,42036898,42253447,42352794,42475738,42611791,42797168,42826522,43014988,43042433,43156424,43445407,43563628,43924550,44630167,44838562,45451758,45601902,45755308,46146202,46159591,46180893,46393807,46425385,46494298,46583320,47094727,47276578,47290941,47396044,47560567,47710618,47797378,47842145,48146814,48317602,48472440,48550977,48577498,48835687,48859921,49297207,49529218,49615642,49642591,50640065,51530990,51703936,52095944,52114978,52185341,52200922,52406235,52709460,52721887,52973698,53528745,53539262,54475948,54531495,54942682,55198882,55560844,55641585,55710462,55899984,56166537,56223424,56307418,56414191,56674541,56733058,57097328,57410574,57501620,57517591,57583138,58007578,58166928,58521565,58607937,58613791,58669910,58770562,58776392,59351024,59363098,59376847,60008669,60543028,60768078,61489190,61837188,61893658,62388375,62650018,62657777,62713687,62794945,62887482,63069658,63245407,63251352,63457591,63656482,64082145,64112457,64234494,64660642,64735948,65437794,65563591,66087901,66123441,66162562,66329122,66397927,66547600,66769902,66828418,66864925,66917047,66973361,67124191,67327138,67488974,67593945,67846927,68157058,68354288,68571629,68654242,68668591,69001944,69501278,69574593,69892447,70094188,70225878,70403892,70500487,70884442,71049178,71157771,71789698,72009247,72100208,72342950,72528922,72629837,73204591,73348762,73402807,73491782,73615700,73758082,73787028,73947657,74192791,74271875,74866050,74983642,75065218,75353934,75466687,75491713,75954988,76042882,76251617,76484660,76898574,76920717,77261722,77505058,77627187,78073591,78234202,78638722,78811545,78915441,79857120,80211585,80237910,80628007,80724268,80908591,80963630,81057442,81112734,81252748,81619738,82217577,82341538,83221591,83307169,83363788,83582301,84065648,84419458,84605673,84768727,84944044,85136218,85137393,85180928,85215778,85355585,85559024,85587104,85726670,85771497,86089882,86490040,86562247,86645122,86811540,87094687,87278722,87712591,87832282,87841700,88032925,88313654,88338840,88621228,88700578,88723677,89024791,89126250,89145388,89252122,89511110,89645602,89839260,90062887,90304865,90666778,90920047,91345927,91781592,92232538,92289041,92598976,92701018,92779042,92806444,93031447,93946207,94180738,94228096,94283453,94573854,95068000,95112322,95342791,95412844,95499802,95505727,95676230,95809498,95828544,96253902,96285492,96412820,96453388,96798847,97156356,97301295,97585282,97662298,97816282,97959470,98354722,98738842,98770737,99049708,99199258,99287540,99381195,99404942,99485527,99568108,99696857,...,7457270944825824996106056379442055643415990282770840318420554071739305792120779413939240225908695309835488002344510802511971691308549936233648137746454034986447178223434855107553754921036783850836872274259460994483050209399812715910248566318624900765177186558223075406096359090303842746088878639186398110987887547300377196458246131758359948640794484362052050237890829740681317189906151648373176123618365068905800370486021303666435524302437471510141772025372930287901853647677632144982307546739107224869766166020131244834562008551384961224934787918711881104052221431737319747647132585806543407160295060365181322348213433935461037426419057553111243236201440139994523121447559958340198125249903316421334444768962817931517946327521110817673479203018194072229758093073927274412196671903799805880838965697672596313203647461179148281239995422314516497778791052457332666215177402876779300202778258464527805637964981176948415878159386627135685705851110337691270969876577940089257846953343009958938923453761134380248894723636056771865268652365295393526573642054588943909299455814153284020371021943533344346849866739673275263313110929561734910306639462930448352811445092026742682563641646595881348488173044494334800912745547145417838152748428109603378468532036214249574150158157460923649573274235352779263080976099900821557106392681947851692019969781153393478029695569145938121927676065040333321914575705046481158822740725908724772315261018415629745659298663795564771106803638550640272590481094512356830436959772149259744875911806773232441739167671896049717201044050638092803074355154350822077095272512484179771444269656517942685677580358415162538174478752835510162816444876478413985796977124223667851234973470903134615476643680030424137561727004433853107270370308904540339714331302467554935496194504803603103362057485253263641823105151372704911284284512152973685233890009696182141604763997262253215867890749892249093676755812056605718382797043263640808403329959335298279999988767039661758982717461599179977502909535425010642599635847116288816386020967311010833681478853805502563329216998030157160603436973190190343679017876530495054548011843052886027004981366578975363838781822738811984669466671294811142750957691009849662788461817564397259501175524199273969817819627566140642096414309482261704411474277182268073944746394427631116132947552363782294633208521523194570418190436331252257507153363390582598609947054373254314115733070492885664707037392249642164679767849532118883469129113453528139806581651797503105451015879466881008279920828034425224230983817883592084399050072003358478775188105940303664013731267236127303430404002995510639466033733127279012209804068338592744218977421173189798093820331077584800869059732975160238546551858341613118262248438931747963377137964814991080656394547823197622002802604032106435233295882732666478221917232632324803012794702526723374553158626243022306751337611501310381378096856121642398182533461076244060466030209956583715872071076859830455708014563082415396417951933637918455277931708181450696313207190761014121844935367038728102260226858557678735379277675902380884864566842882715503766986898936114118197542297439940561328951531765636548420654823112314270662887787098986572738859082936803961822016037652035832626858469685043975983697879708065835206658540395481482318931059340013348592272467639183842253380787942789209533395126183755559067668875454610296498158594892739414066345846773661727070255170164956122655248906409467151755879207979059669792687877789427713788180388735432118574409852391133133324507947764299073852950516063155372156959555797858983557594209163615356230081557320086656026072665109090316096036362978113866402098161399111380883389581245210380307267870572895009940827735243756861537232846012203114052434801644901025434230025931431321113298}
23793 350942541012620720703397915499696657345706491851510178480107524845312603197690: {95156,1212423,1639923,2067207,2163343,2636583,3063363,3090490,3161011,3347763,3661042,3708588,4016623,4515730,4868135,5052147,5230060,5418876,5579135,5656546,5841762,5868967,6276072,6694962,6797362,7060581,7146643,7177767,7319283,7577207,7651042,8026503,8080780,9015603,9287423,9319016,9696936,9932098,10209490,10308802,10483893,10502362,10707191,10909053,10930060,11124211,11131143,11420383,11503228,11553603,11707271,11835123,11961935,12251388,12300946,12480825,12562163,12819687,13116072,13312880,13522227,13628482,13943463,13984627,14292082,14354322,14726860,14755581,14858125,14976990,15766323,15835247,15891730,15975456,16046403,16084831,16186407,16466343,17025927,17149666,17302376,17572780,17672232,17724867,17773228,17829750,17972388,18065551,18809167,19018400,19070076,19140082,19287436,19326802,19465173,19469260,19818087,19881261,20417260,20653863,21087336,21130055,21395700,22322823,22822080,22838842,22978330,23172825,23294787,23363112,23723253,24343552,24500712,24717680,25025122,25235187,25281704,25356066,25674840,25807930,25968271,26164786,26203623,26283501,26741735,26953843,27254668,27386496,27450885,27553480,27563301,27573996,27807390,27966898,28141055,28408588,28441917,28884195,29280944,29377347,29420567,29515047,29538935,29661216,30237335,30340743,30688876,30809808,30969516,30997665,31617427,31703503,31830898,31874143,31989543,32090082,32124872,32166946,32390908,32401203,32471311,32679625,32941062,33064176,33368868,33497907,33541807,33769266,33859425,34661034,34866627,35446722,35468146,35810476,35838431,36116720,36140481,36284802,36369447,36384946,36781843,37097530,37197198,37447522,37761871,38505490,38650348,38734487,38935240,39215550,39230403,40631310,40760405,40860483,41267463,41509756,41809767,41829920,42413385,42893223,43053911,43340064,43636711,43802145,43839987,44517036,44920563,44927927,45218483,45240944,45456623,45511055,45534490,45583951,45729987,45952780,46206588,46324147,46383727,46474307,46673223,46722288,46821196,47058660,47770066,47884227,48076072,48214543,48757572,48912486,48958055,49093287,49195496,49764147,49960162,50046028,50195904,50240188,50300403,50334335,50492125,50668780,50702343,50896062,50967345,51429343,51906867,51932146,52325164,52396055,52545490,52562574,52575207,53109447,53376423,53496460,53608207,53652082,53768735,53945530,54085581,54310083,54365168,54454535,54613266,54641388,54816346,54916936,54976263,54983087,55143336,55344933,55528447,56470392,56763058,56971203,57104007,57194135,58229150,58234643,58695783,58725031,58749666,59155186,59245055,59810002,59847191,60293698,60356087,60376701,60401202,60590550,60602344,60680643,60802536,61004047,61160814,61574524,61781553,62036253,62136247,62175802,62875266,63054588,63055347,63087682,63529191,63713607,64195752,64239783,64522482,64629920,64734636,64969091,65119930,65345442,65684051,65852722,65886825,66536783,67025951,67077946,67257843,67774387,68094935,68177637,68291743,68402853,68632962,69207871,69219303,69308927,69416423,69451055,69741447,69874980,70279280,70914867,71094066,71371660,71565927,71696067,71877025,72220221,72476403,72708660,72866247,73470490,73557442,73747687,74188780,74280616,74293827,74322103,74423463,74467583,74533312,74715106,74864146,74888716,75678785,76547432,77296485,77555904,78086746,78143916,78172467,78301383,78495538,79064190,79460547,80308893,80410387,80545607,80919935,81024104,81136327,81593842,81713922,82414023,82449584,82798323,82822207,82895842,83184500,83341266,83565693,83849976,84335136,84461127,85099587,85442860,85483276,85645992,86085826,86115861,86252430,86346287,86374707,86445463,86471527,87011367,87250392,87617735,88004865,88079791,88155843,88164588,89026536,89044647,89066447,89650253,89781767,90125260,90659123,90814542,90849298,90875591,91152117,91538746,92002592,92019625,92233785,92309363,92640466,92755782,92759602,92766124,92840487,93634504,93680743,93741151,93870071,93871856,93971218,93975027,94331223,94464067,94604487,94877028,94943735,95484723,95605825,95630831,96351741,96990963,97103922,98012146,98156691,98382704,98579987,98596876,99124307,99243843,99435343,99493683,99821400,...,11185906417238737494159084569163083465123985424156260477630831107608958688181169120908860338863042964753232003516766203767957536962824904350472206619681052479670767335152282661330632381555175776255308411389191491724575314099719073865372849477937351147765779837334613109144538635455764119133317958779597166481831320950565794687369197637539922961191726543078075356836244611021975784859227472559764185427547603358700555729031955499653286453656207265212658038059395431852780471516448217473461320108660837304649249030196867251843012827077441837402181878067821656078332147605979621470698878709815110740442590547771983522320150903191556139628586329666864854302160209991784682171339937510297187874854974632001667153444226897276919491281666226510218804527291108344637139610890911618295007855699708821258448546508894469805471191768722421859993133471774746668186578685998999322766104315168950304167387696791708456947471765422623817239079940703528558776665506536906454814866910133886770430014514938408385180641701570373342085454085157797902978547943090289860463081883415863949183721229926030556532915300016520274800109509912894969666394342602365459959194395672529217167638040114023845462469893822022732259566741502201369118320718126757229122642164405067702798054321374361225237236191385474359911353029168894621464149851232335659589022921777538029954671730090217044543353718907182891514097560499982871863557569721738234111088863087158472891527623444618488947995693347156660205457825960408885721641768535245655439658223889617313867710159848662608751507844074575801566075957139204611532731526233115642908768726269657166404484776914028516370537622743807261718129253265244224667314717620978695465686335501776852460206354701923214965520045636206342590506650779660905555463356810509571496953701332403244291757205404655043086227879895462734657727059057366926426768229460527850835014544273212407145995893379823801836124838373640515133718084908577574195564895461212604994939002947419999983150559492638474076192398769966254364303137515963899453770674433224579031450966516250522218280708253844993825497045235740905155459785285515518526814795742581822017764579329040507472049868463045758172734108217977004200006942216714126436536514774494182692726346595889251763286298910954726729441349210963144621464223392556617211415773402110917119591641446674199421328545673441949812782284791855627285654496878386260730045085873897914920581559881471173599605739328497060556088374463247019651774298178325203693670180292209709872477696254658176523819200321512419881242051637836346475726825388126598575108005037718162782158910455496020596900854190955145606004493265959199050599690918518314706102507889116328466131759784697140730496616377201303589599462740357819827787512419677393372658397621945065706947222486620984591821734796433004203906048159652849943824098999717332875848948487204519192053790085061829737939364533460127006417251965572067145284182463597273800191614366090699045314934875573808106615289745683562021844623623094626927900456877682916897562272176044469810786141521182767403050558092153390340287836518103068916513853571327296850264324073255650480348404171177296313446159910841993427297648454822630982234668471405994331680648479859108288624405205942733024056478053748940287704527565963975546819562098752809987810593222223478396589010020022888408701458775763380071181914183814300092689275633338601503313181915444747237892339109121099518770160492590605382755247434183982873359614200727633818811968589504689031816684141570682270583103148177861614778586699699986761921646448610779425774094733058235439333696788475336391313745423034345122335980129984039108997663635474144054544467170799603147242098667071325084371867815570460901805859342514911241602865635292305849269018304671078652202467351538151345038897146981669947}
23794 352180048646862983578785565907454149869099807267000114108517969155536409401439: {118945,142734,903374,973873,1116109,1258273,1473182,1616564,2186564,2534509,2756276,3099853,3462974,3515444,3945709,4084484,4463684,4508173,4635735,4879934,4944784,5349709,5489713,5491563,5562882,6049009,6188653,6537575,6736196,6773595,7225168,7703054,7789016,7845090,8128314,8136109,8154139,8368096,8484819,8762643,8926616,9109214,9390014,9414108,9570356,9759044,9951182,10042443,10100975,10196043,10702004,10756513,10791854,10893709,11476563,11648770,11715373,12020804,12121170,12929248,13306094,13662575,13758193,13978524,14379035,14545404,14841524,14898147,15139579,15314235,15404804,15463203,15650209,15753543,15780164,16335184,16395090,16641100,17092916,17254842,17488096,17795233,18029636,18377082,18408575,18451419,18591284,18860833,19139096,19657009,19674108,19678382,19969320,20318509,20442723,21021764,21300608,21395204,21438123,21504673,21531483,21581876,21627970,21955124,21965975,22090290,22121491,22216535,22292209,22423213,22465485,22701236,23246414,23562976,23633156,23773000,23837595,23963184,24109295,24336575,24339374,24898609,25028173,25157582,25426768,25521575,25620826,25724499,25953564,26062093,26359170,26424116,26508348,26659842,26705953,26744625,26958582,27538484,27604333,28109263,28116448,28527600,28605114,28688174,28710123,28881613,28931154,28990203,29203890,29763764,30429440,30531313,30579182,30625890,30897100,31059716,31150816,31602130,31625891,31631004,31917709,32093550,32419693,32667616,33170509,33646916,33669613,33804494,33808088,33918733,34068335,34072334,34233120,34258263,34441850,34467495,34607582,34938164,35044668,35510735,35530993,36271009,36515328,36601180,36751068,36765328,37076520,37537683,37922556,37987633,38034099,38072654,38361095,38512260,38711895,39169796,39247179,39353396,39548288,39585826,40156090,40454324,40488635,40882002,41079744,41292688,41330220,41360994,41618593,41711085,41858353,41950347,42066563,42217453,42612882,42652724,42786776,43046059,43052833,43201604,43921416,44085568,44121709,44491824,44663876,44763095,45025688,45145900,45184753,45772813,45976094,46033314,46214712,46454274,46488836,47262296,47569522,47642509,47746347,47801582,48052319,48135123,48187308,48223009,48250419,48312935,48379736,48492596,48586362,48669050,48917233,49411593,49596264,49620014,50053302,50653899,50914574,51212593,51554413,51668209,51887195,51991551,52205534,52236109,52287400,52307204,52802209,52978382,53027051,53170083,53202219,53715714,54175080,54427203,54480644,54577419,54608147,55023284,55646295,55746356,55795797,56171283,56312414,56551180,56714509,56824993,57190964,57440975,57743543,57758235,57786752,57975522,58097582,58364209,58402860,58453316,58526495,58823325,59356048,59894084,60095090,60538609,60946965,60973316,61494370,61608784,62230964,62264634,62296384,62557535,62744880,62790733,62800235,63109873,63335975,63662174,63845636,64995539,65010096,65216648,65325709,65406455,65457716,66352196,66418334,66775554,66785293,66870575,66927872,66979003,67067204,67603124,67861416,67956460,68301735,68646170,68929170,69209156,69309882,70083432,70100276,70231794,70372513,70473709,70587990,70812596,70896091,71168564,71582113,71655099,71878382,72114108,72143386,72413444,72582193,72817688,72855184,72980209,73136358,73301684,73368729,73524448,73601054,73793244,73846574,73871533,73970209,74940243,75069042,75072014,75293856,75360282,75752930,75928609,75961604,76003170,76025773,76138676,76316833,76344093,76510513,76781582,76968155,77268734,77282353,77898219,78103883,78261044,78332888,78487746,78726734,78818235,78843861,79191793,79211582,80244690,80421182,80478123,80502268,80534936,80787400,80907524,80918295,81070048,81258913,81547752,81919899,81930191,81962082,82137874,82224519,82375404,82464013,82556209,82715004,82924273,83107873,83314187,83833688,84072784,84073796,84373091,84385009,84506894,84705588,84928033,84951476,85144587,85198573,85223582,85594336,85648033,85653044,86029976,86084866,86312848,86719393,86890814,87127256,87343725,87849100,87912923,88044013,88124499,88732779,88831009,89052491,89214575,89217479,89260334,89352433,89677124,89715003,90043633,90440547,90601803,90885825,90903516,91071793,91203804,91510616,91741221,92258209,92292404,92319182,92361786,92735975,92787614,92850770,92988596,93166640,93263703,93610895,94189454,94259233,94312899,94553156,94581882,94631523,94670893,94792088,95080753,95121134,95421236,95594756,95684290,96293628,96635204,96783723,96944880,97101954,97154996,97661233,97671374,97679895,97719842,98018163,98452513,98453927,98594414,98688493,98779083,99058436,99080353,99231284,99236593,99285182,99858673,...,14914541889651649992212112758884111286831980565541680636841108143478611584241558827878480451817390619670976004689021605023943382617099872467296275492908069972894356446869710215107509842073567701673744548518921988966100418799625431820497132637249801530354373116446150812192718180607685492177757278372796221975775094600754392916492263516719897281588968724104100475781659481362634379812303296746352247236730137811600740972042607332871048604874943020283544050745860575803707295355264289964615093478214449739532332040262489669124017102769922449869575837423762208104442863474639495294265171613086814320590120730362644696426867870922074852838115106222486472402880279989046242895119916680396250499806632842668889537925635863035892655042221635346958406036388144459516186147854548824393343807599611761677931395345192626407294922358296562479990844629032995557582104914665332430354805753558600405556516929055611275929962353896831756318773254271371411702220675382541939753155880178515693906686019917877846907522268760497789447272113543730537304730590787053147284109177887818598911628306568040742043887066688693699733479346550526626221859123469820613278925860896705622890184053485365127283293191762696976346088988669601825491094290835676305496856219206756937064072428499148300316314921847299146548470705558526161952199801643114212785363895703384039939562306786956059391138291876243855352130080666643829151410092962317645481451817449544630522036831259491318597327591129542213607277101280545180962189024713660873919544298519489751823613546464883478335343792099434402088101276185606148710308701644154190545024968359542888539313035885371355160716830325076348957505671020325632889752956827971593954248447335702469946941806269230953287360060848275123454008867706214540740617809080679428662604935109870992389009607206206724114970506527283646210302745409822568569024305947370467780019392364283209527994524506431735781499784498187353511624113211436765594086527281616806659918670596559999977534079323517965434923198359955005819070850021285199271694232577632772041934622021667362957707611005126658433996060314321206873946380380687358035753060990109096023686105772054009962733157950727677563645477623969338933342589622285501915382019699325576923635128794519002351048398547939635639255132281284192828618964523408822948554364536147889492788855262232265895104727564589266417043046389140836380872662504515014306726781165197219894108746508628231466140985771329414074784499284329359535699064237766938258226907056279613163303595006210902031758933762016559841656068850448461967635767184168798100144006716957550376211880607328027462534472254606860808005991021278932067466254558024419608136677185488437954842346379596187640662155169601738119465950320477093103716683226236524496877863495926754275929629982161312789095646395244005605208064212870466591765465332956443834465264649606025589405053446749106317252486044613502675223002620762756193712243284796365066922152488120932060419913167431744142153719660911416029126164830792835903867275836910555863416362901392626414381522028243689870734077456204520453717115357470758555351804761769729133685765431007533973797872228236395084594879881122657903063531273096841309646224628541325775574197973145477718165873607923644032075304071665253716939370087951967395759416131670413317080790962964637862118680026697184544935278367684506761575885578419066790252367511118135337750909220592996317189785478828132691693547323454140510340329912245310497812818934303511758415958119339585375755578855427576360777470864237148819704782266266649015895528598147705901032126310744313919111595717967115188418327230712460163114640173312052145330218180632192072725956227732804196322798222761766779162490420760614535741145790019881655470487513723074465692024406228104869603289802050868460051862862642226596}
23795 353421891716124503992639818344553029553348965927674215535705765038079933069338: {190312,214101,1355061,2020705,2209773,2424846,2733205,2876533,3279846,3445345,4134414,4326686,4394305,4444429,5105605,5194461,5273166,5579605,6011533,6126726,6180980,6322022,6695526,6815389,6866929,7319901,7322084,7417176,7810789,8033246,8099773,8344323,8420245,8954881,9031460,9665029,9736270,10104294,10380061,10460120,10708093,10837752,11158270,11229493,11313092,11554581,11683524,11737934,11767635,11962945,12192471,12198805,12514669,12552144,12653953,13084597,13377505,13389924,13594724,13663821,14085021,14121162,14293286,14355534,14638566,14926773,14933089,15026005,15154414,15302084,15836581,16053006,16161560,16187781,16746709,16927333,17473155,18031206,18181755,18551905,18574846,18638032,19256005,19393872,19725205,19864196,19959141,20418980,20617604,20801375,20967786,21004724,21366145,21414382,21818106,21860120,22248422,22262286,22537045,22840766,23006456,23107206,23239105,23414542,23670246,23790157,23923870,24502776,24592635,24601892,24961650,25124326,25274029,25639374,25882263,26232144,26277205,26625760,26744005,26977345,27044454,27256964,27443905,27565623,27867829,27886926,27969254,28376545,28584164,28708644,28913461,29423053,29453720,29511162,29517573,29541445,29582077,29716250,29953980,31532646,31670494,31783460,31950912,32092806,32169662,32328997,32372814,32441955,32932686,33030145,33135435,34051854,34299332,34423105,34604752,34769761,34869621,35145560,35344464,35449734,35546456,35659500,35841457,35944776,36131102,36509061,37204705,37438429,37618334,37736373,38036800,38140152,38280164,38431239,38574872,38621375,38653604,38824645,38930346,38938520,39254413,39397477,39538755,39636174,39762522,39989763,40054717,40437873,40653409,40803829,40834520,41307726,41354509,42058645,42174672,42260110,42332269,42791400,42907671,43032261,43057549,43396731,43672705,43805835,43858657,44645646,45222301,45644160,45677684,45751475,45777121,45868773,45938835,45956660,46345650,46589574,46726224,46993573,47403195,47446506,48119077,48140325,48687104,48962245,49001424,49191745,49435360,49568893,50050244,50470374,50563408,50567905,50706741,50712132,50804461,51108501,51349680,51615860,51662775,51911373,51936542,52329572,52407246,52567002,53096641,53315905,53483470,53907686,54002005,54266917,54509336,54772992,54901770,54924181,54987733,55106960,55126602,55147992,55614780,55829845,55933796,56071861,56282110,56432375,56817176,56883834,57064567,57108981,57768390,57795133,58111045,58561888,58754694,58821829,58841134,59030094,59077870,59322432,59323141,59378739,59852257,60234135,60474670,60615745,60650509,60681486,61110337,61323003,61377752,61619616,61939032,61995330,62041491,62225749,63234854,63407006,63661796,63715477,63748286,63919323,63979086,64180164,64249744,64333892,64781816,64802406,64942622,65068189,65359250,65384005,65689597,65882124,66128352,66542401,66580897,66737736,66888037,66995814,67083614,67538532,67718850,67910629,68100805,68541277,68779105,68964141,69049971,69322068,69681411,69682945,69733254,70468069,70681381,70688975,70893444,70936292,71329921,71354283,71488705,71620952,71676862,71702373,71811757,72233440,72280962,72569604,72738894,72769892,72879543,73003575,73066645,73354477,73563686,74088853,74195060,74394396,74430021,74867605,74895044,74911357,75079953,75276229,75523742,75554701,76216645,76236349,76371861,76781653,77010980,77300696,77468974,77583061,77788705,77870480,77942017,78308301,78431100,78460806,78972769,79010149,79467573,79807045,80071789,80301133,80552413,80573571,80956021,81262620,81520810,81720966,81822145,82419637,82534926,82940245,82943077,83019512,83619534,83659840,83834005,84468621,84474661,84503905,84534829,84826770,84945575,85786446,86107822,86511445,86680128,86918029,86963283,87146373,87273422,87604290,87625345,87679974,87882997,88510141,88515745,88960705,89034072,89073973,89841126,89855854,90142635,90436966,90481888,90516805,90558301,90913246,90982573,91022110,91068980,91167902,91459974,91575361,91627105,91676257,91905560,92241555,92413176,92648294,92767454,92948614,93346446,93396951,93444576,93563557,93642392,93878017,93900421,94117320,94534429,94952005,95173345,95240437,95332909,95493261,95540132,95638957,95768454,95973613,96152144,96429086,96431089,97132381,97231477,97515144,97824972,97826305,97916110,98186574,98390992,99076981,99528294,99627501,99920324,...,22371812834477474988318169138326166930247970848312520955261662215217917376362338241817720677726085929506464007033532407535915073925649808700944413239362104959341534670304565322661264763110351552510616822778382983449150628199438147730745698955874702295531559674669226218289077270911528238266635917559194332963662641901131589374738395275079845922383453086156150713672489222043951569718454945119528370855095206717401111458063910999306572907312414530425316076118790863705560943032896434946922640217321674609298498060393734503686025654154883674804363756135643312156664295211959242941397757419630221480885181095543967044640301806383112279257172659333729708604320419983569364342679875020594375749709949264003334306888453794553838982563332453020437609054582216689274279221781823236590015711399417642516897093017788939610942383537444843719986266943549493336373157371997998645532208630337900608334775393583416913894943530845247634478159881407057117553331013073812909629733820267773540860029029876816770361283403140746684170908170315595805957095886180579720926163766831727898367442459852061113065830600033040549600219019825789939332788685204730919918388791345058434335276080228047690924939787644045464519133483004402738236641436253514458245284328810135405596108642748722450474472382770948719822706058337789242928299702464671319178045843555076059909343460180434089086707437814365783028195120999965743727115139443476468222177726174316945783055246889236977895991386694313320410915651920817771443283537070491310879316447779234627735420319697325217503015688149151603132151914278409223065463052466231285817537452539314332808969553828057032741075245487614523436258506530488449334629435241957390931372671003553704920412709403846429931040091272412685181013301559321811110926713621019142993907402664806488583514410809310086172455759790925469315454118114733852853536458921055701670029088546424814291991786759647603672249676747281030267436169817155148391129790922425209989878005894839999966301118985276948152384797539932508728606275031927798907541348866449158062901933032501044436561416507689987650994090471481810310919570571031037053629591485163644035529158658081014944099736926091516345468216435954008400013884433428252873073029548988365385452693191778503526572597821909453458882698421926289242928446785113234422831546804221834239183282893348398842657091346883899625564569583711254571308993756772521460090171747795829841163119762942347199211478656994121112176748926494039303548596356650407387340360584419419744955392509316353047638400643024839762484103275672692951453650776253197150216010075436325564317820910992041193801708381910291212008986531918398101199381837036629412205015778232656932263519569394281460993232754402607179198925480715639655575024839354786745316795243890131413894444973241969183643469592866008407812096319305699887648197999434665751697896974409038384107580170123659475878729066920254012834503931144134290568364927194547600383228732181398090629869751147616213230579491367124043689247246189253855800913755365833795124544352088939621572283042365534806101116184306780680575673036206137833027707142654593700528648146511300960696808342354592626892319821683986854595296909645261964469336942811988663361296959718216577248810411885466048112956107497880575409055131927951093639124197505619975621186444446956793178020040045776817402917551526760142363828367628600185378551266677203006626363830889494475784678218242199037540320985181210765510494868367965746719228401455267637623937179009378063633368283141364541166206296355723229557173399399973523843292897221558851548189466116470878667393576950672782627490846068690244671960259968078217995327270948288109088934341599206294484197334142650168743735631140921803611718685029822483205731270584611698538036609342157304404934703076302690077794293963339894}
23796 354668085310357149005877292049272835031799320521835779892554472726332268622038: {166523,237890,285468,546779,689243,1021379,1258379,1806748,1947746,2232218,2516546,2534723,2581883,2946364,3005963,3233128,3637269,3852179,3946043,4086779,4373128,4555379,4649003,4919769,5069018,5396843,5490179,5512552,5630123,6049523,6199706,6201621,6490029,6925948,7030888,7726225,7891418,7905683,7909749,8168968,8183003,8875043,8927368,9016346,9152605,9190089,9271470,9289403,9483033,9759868,9889568,10043289,10253723,10665923,10699418,10803179,10979426,10983126,11125764,11289325,11625203,11716379,12049869,12098018,12377306,13075150,13216163,13472392,13547190,13623683,13759379,13895003,14075723,14141365,14450336,14604405,15112379,15156441,15406108,15578032,15690180,16256628,16272218,16308278,16368683,16736192,16737405,16905179,16969638,16993405,17039123,17128379,17440523,17525286,17606901,17707763,17853232,18218428,18780028,18828216,18906779,19127605,19140712,19518088,19570379,19702883,19902364,20084886,20130649,20201950,20392086,21023963,21181743,21404008,21418883,21439929,21513026,21533301,21583708,21787418,21957849,22731621,22953126,22992083,23079179,23209763,23297540,23430746,24041608,24079509,24242340,24295163,24684683,24830245,24900803,25332443,25523725,25772005,25858496,26107379,26255905,26612188,27046809,27325150,27516386,27606779,27734843,27862269,27957048,28758070,29090808,29683048,29796294,29816363,30279158,30628470,30752365,30809608,30926406,31103149,31300418,31333403,31451679,31507086,31560328,31920563,31962443,32121573,32339003,32464379,32670368,32727159,32790180,33215123,33282200,33298379,33372633,33393429,33753013,33921779,34071205,34185832,34261149,34460603,34509684,34660809,34832843,34976192,35121813,35505369,35590466,35657723,35730205,35885805,36059272,36274283,36754164,36807179,36817150,36889043,36902838,37182568,37376053,37442475,37686489,37721666,38031779,38235179,38278192,38459061,38763083,39249179,39314018,39348216,39356764,39729325,39938640,40566681,40637018,40885446,40941443,41830389,41953881,42043528,42261179,42601216,42790408,42874165,42876246,43009346,43062966,43163752,43175843,43255940,43453379,43532603,43910248,43931950,44165243,44180580,44242982,44266743,44362523,44433070,44574375,44584418,44846426,44930970,44953163,45228179,45402472,45816179,46492828,47103443,47125952,47266312,47298969,47505741,47546000,47646923,47675190,47695669,47850205,47926368,48139209,48218590,48227483,48254493,48266123,48317005,48559221,48673150,48678748,48806243,48921779,49306379,49383203,49399029,49613483,49715029,49797218,50056346,50315164,50853536,50912963,51043150,51077781,51141323,51241652,51331403,51448998,51673043,51907128,52124186,52718340,52731779,52807163,52848232,53016696,53174601,53319684,53411906,53489250,53705533,53917164,54158603,54196653,55076968,55208666,55276883,55425443,55722179,55981403,56166323,56218526,56232896,56427501,56684089,56756723,57055200,57087923,57097105,57210228,57376348,57420246,57445825,57491843,57763226,57862308,57980406,58369763,58395519,58407780,59388179,59454261,59460683,59527528,59643783,59822723,60544403,60760283,60858880,60904043,61062626,61158364,61251780,61298723,61794200,61961589,62119432,62301632,62562805,62668333,62796779,63045083,63204260,63251782,63257603,63262008,63390165,63787643,63835418,63963923,64187100,64519825,64536901,64839386,65335232,65366963,65411965,65959379,66341018,66826379,66968469,67293832,67339226,67608988,67616176,67638109,67837466,67860179,67963163,68136670,68144668,68242369,68466240,68516526,68883700,68934990,69159323,69215164,69465323,69518475,69876328,69884361,69917245,70089336,70176803,70413179,70514363,71019203,71021470,71061986,71169759,71488763,71823203,72542018,72642073,72921179,73030656,73086779,73202360,73502136,73530656,73911779,74153040,74895179,75075366,75449243,75705561,75845112,75975266,76033379,76068198,76145308,76356779,76518179,76722190,76743803,77024520,77225963,77423790,77706323,77904813,78057443,78280379,78339592,78494358,78610869,78706792,78850503,79096576,79171652,79231379,79483763,79577245,80081123,80225205,80312180,80417365,80425643,80738003,80861529,80908648,80977270,81764004,81937093,82159488,82352655,82585376,82595363,82660440,82689903,82721988,82963379,83116379,83237186,83422170,83665523,83716706,83900694,84133126,84242363,84423165,84423923,84434906,84575003,84786179,84936779,85225764,85305448,85325751,85477283,85573552,85686779,86092118,86105666,86283179,86403208,86652585,86935523,87171779,87525203,87580549,87842832,87920329,88053179,88132041,88171136,88243418,88261701,88545141,88616805,88670365,88869323,88983648,89059993,89130323,89327752,89526190,90051376,90081779,90291800,90369506,90597083,90712005,90939179,90962365,90996083,91022229,91421843,91545626,91569037,91952188,92066628,92267963,92304589,92429424,92743825,92908548,92977672,92992995,93106883,93384923,93618805,93883379,93966203,94021379,94104083,94296779,94299337,94516523,94524592,94852281,95036363,95110509,95139044,95285018,95492694,95603164,95622429,95968629,96104638,96263725,96270246,96374616,96417443,96446018,96500838,96625870,96759472,96819683,96985192,97172724,97203609,97338100,97413933,97671779,97751243,97834466,98038875,98068379,98462221,98823186,99192528,99240028,99325403,99559043,99713653,99895379,...,33557719251716212482477253707489250395371956272468781432892493322826876064543507362726581016589128894259696010550298611303872610888474713051416619859043157439012302005456847983991897144665527328765925234167574475173725942299157221596118548433812053443297339512003839327433615906367292357399953876338791499445493962851697384062107592912619768883575179629234226070508733833065927354577682417679292556282642810076101667187095866498959859360968621795637974114178186295558341414549344652420383960325982511913947747090590601755529038481232325512206545634203464968234996442817938864412096636129445332221327771643315950566960452709574668418885758989000594562906480629975354046514019812530891563624564923896005001460332680691830758473844998679530656413581873325033911418832672734854885023567099126463775345639526683409416413575306167265579979400415324240004559736057996997968298312945506850912502163090375125370842415296267871451717239822110585676329996519610719364444600730401660311290043544815225155541925104711120026256362255473393708935643829270869581389245650247591847551163689778091669598745900049560824400328529738684908999183027807096379877583187017587651502914120342071536387409681466068196778700224506604107354962154380271687367926493215203108394162964123083675711708574156423079734059087506683864392449553697006978767068765332614089864015190270651133630061156721548674542292681499948615590672709165214702333266589261475418674582870333855466843987080041469980616373477881226657164925305605736966318974671668851941603130479545987826254523532223727404698227871417613834598194578699346928726306178808971499213454330742085549111612868231421785154387759795732674001944152862936086397059006505330557380619064105769644896560136908619027771519952338982716666390070431528714490861103997209732875271616213965129258683639686388203973181177172100779280304688381583552505043632819637221437987680139471405508374515120921545401154254725732722586694686383637814984817008842259999949451678477915422228577196309898763092909412547891698361312023299673737094352899548751566654842124761534981476491135707222715466379355856546555580444387227745466053293737987121522416149605389137274518202324653931012600020826650142379309609544323482548078179039787667755289858896732864180188324047632889433864392670177669851634247320206332751358774924340022598263985637020325849438346854375566881856963490635158782190135257621693744761744679644413520798817217985491181668265123389741058955322894534975611081010540876629129617433088763974529571457600964537259643726154913509039427180476164379795725324015113154488346476731366488061790702562572865436818013479797877597151799072755554944118307523667348985398395279354091422191489849131603910768798388221073459483362537259032180117975192865835197120841667459862953775465204389299012611718144478958549831472296999151998627546845461613557576161370255185489213818093600380381019251755896716201435852547390791821400574843098272097135944804626721424319845869237050686065533870869283880783701370633048750692686816528133409432358424563548302209151674276460171020863509554309206749541560713981890550792972219766951441045212513531888940338479732525980281892945364467892946704005414217982995041945439577324865873215617828199072169434161246820863113582697891926640458686296258429963431779666670435189767030060068665226104376327290140213545742551442900278067826900015804509939545746334241713677017327363298556310481477771816148265742302551948620078842602182901456435905768514067095450052424712046811749309444533584844335760099099960285764939345832338277322284199174706318001090365426009173941236269103035367007940389952117326992990906422432163633401512398809441726296001213975253115603446711382705417578027544733724808596905876917547807054914013235956607402054614454035116691440945009841}
23797 355918644571693612950121318234140863491187451773337960031767802336330391005738: {356835,380624,428202,2258435,2710122,2828987,2921619,3348327,3399539,3682955,3774819,3826487,4041410,4419546,4823483,4849692,4967303,5252507,5466410,5753066,6152027,6559692,6890690,7104539,7147847,7603527,7674803,7811447,8268828,8653372,8657435,8788610,8888858,9299559,9572459,10211210,10388922,10546332,11159210,11230439,11422307,11788343,11837127,12023066,12199835,12253452,12361960,12644044,12655019,13271219,13391052,13524519,13630778,13733858,13907205,13986983,14639802,14644168,14834352,14934347,15621578,16049127,16066492,16199546,16469139,16474689,16688646,16689923,16748123,16840490,16928759,17078327,17480903,17909762,18062920,18147027,18565959,18728507,19257635,19330058,19472540,19612725,20208588,20320785,20760122,20920240,21036407,21416186,21675504,22316540,22458986,22626184,22773035,23109162,23367048,23475035,23475868,23535270,23925890,24384942,24397610,24408327,24462417,24596603,24877955,25029338,25104288,25276163,25307906,25454457,25972667,26169194,26287929,26588999,26755010,26779848,26958407,26979635,27189448,27327642,27615287,28170042,28242324,28388723,28586572,28711068,29121925,29277132,29853546,29866178,29869307,29912603,30052010,30127329,30302925,30308828,30588129,30604168,31551863,31673162,32106012,32269539,32323120,32375562,32534747,32681127,32934707,33265235,33493418,33854666,34429689,34558583,34772699,34946310,35146119,35981723,36062412,36363510,36788087,37103810,37149692,37276064,37441607,37768283,38421467,38512010,38787744,39450410,39727163,39728392,39918282,40058099,40807283,40837960,40987725,41235208,41274579,41358023,41458427,41602750,41935572,42009448,42356039,42732290,42828764,43137105,43636212,43720240,43862363,44496844,44524572,44694441,45074090,45418737,45436163,45681532,45942705,46012912,46214412,46242203,46389609,46391579,46478210,46829084,46950627,47260629,47340492,47580314,47847740,48123143,48192347,48222707,49005552,49018499,49185270,49195955,49203784,49923300,50087939,50248652,50548058,51278748,51764526,52086587,52464288,52554410,52823387,53251520,53385699,53488010,53954690,54069925,54088908,54271499,54354503,54513928,54887810,55131246,55225725,55354257,55537859,55735658,55773852,55938508,56076599,56582499,56753090,57168328,57417288,57800039,57826922,58009463,58116035,58581419,58846106,58882103,58907440,58971027,59022324,59035146,59082890,59164154,59340083,59432500,59907960,60655643,60848435,60955527,61141787,61328169,62231003,62893955,63049787,63065292,63340988,63566920,63901824,63978587,64052065,64185612,64314369,64339324,64514019,64594449,64657994,64745628,64883910,65073683,65324843,65865372,65897925,66060290,66270870,66364473,66586523,66649605,66876627,66893699,67269639,67396455,67785863,67916363,68103708,68242247,68303339,68547143,68598664,68846210,68868443,69209504,69516707,69539522,69739242,70291120,70688928,70795067,70899468,71092912,71172683,71319000,71512785,71631923,71682914,71720435,71889552,72262204,72327885,72614123,72712067,73009725,73018122,74409410,74642267,74695827,74876858,75084519,75236668,75472746,75555959,75602807,76073600,76280304,76447955,76560328,76564725,76689803,76862478,77149744,77173497,77242750,77307208,77649290,77860692,77877040,77948603,78161783,78186279,78508826,78794954,79005325,79077510,79272348,79525044,79774523,79979526,80109434,80117859,80233875,80260199,80817539,80875746,81235787,81306818,81355463,81607658,81669040,82042679,82615452,82709018,82812999,84077027,84117290,84327789,84349344,84481799,84511235,84520220,84664538,84862043,84926507,85180835,85213523,85582800,85815342,86064522,86104625,86115098,86130369,86518955,86644839,86793462,86970609,87345410,87611670,87717314,87890423,88263683,89291292,89304587,90444602,91288320,91355368,91502950,91537607,91554242,91583099,91593939,91737546,91877670,91913320,92691300,93179148,93452448,93571463,93987146,94480103,94806390,94877673,94893012,94901339,95181635,95248499,95341127,95753127,96238154,96280650,96290747,96439283,96735203,97259079,97374208,97556123,97924490,98002848,98217659,98383490,98870720,98964565,99137786,99511527,...,44743625668954949976636338276652333860495941696625041910523324430435834752724676483635441355452171859012928014067064815071830147851299617401888826478724209918683069340609130645322529526220703105021233645556765966898301256398876295461491397911749404591063119349338452436578154541823056476533271835118388665927325283802263178749476790550159691844766906172312301427344978444087903139436909890239056741710190413434802222916127821998613145814624829060850632152237581727411121886065792869893845280434643349218596996120787469007372051308309767349608727512271286624313328590423918485882795514839260442961770362191087934089280603612766224558514345318667459417208640839967138728685359750041188751499419898528006668613776907589107677965126664906040875218109164433378548558443563646473180031422798835285033794186035577879221884767074889687439972533887098986672746314743995997291064417260675801216669550787166833827789887061690495268956319762814114235106662026147625819259467640535547081720058059753633540722566806281493368341816340631191611914191772361159441852327533663455796734884919704122226131661200066081099200438039651579878665577370409461839836777582690116868670552160456095381849879575288090929038266966008805476473282872507028916490568657620270811192217285497444900948944765541897439645412116675578485856599404929342638356091687110152119818686920360868178173414875628731566056390241999931487454230278886952936444355452348633891566110493778473955791982773388626640821831303841635542886567074140982621758632895558469255470840639394650435006031376298303206264303828556818446130926104932462571635074905078628665617939107656114065482150490975229046872517013060976898669258870483914781862745342007107409840825418807692859862080182544825370362026603118643622221853427242038285987814805329612977167028821618620172344911519581850938630908236229467705707072917842111403340058177092849628583983573519295207344499353494562060534872339634310296782259581844850419979756011789679999932602237970553896304769595079865017457212550063855597815082697732898316125803866065002088873122833015379975301988180942963620621839141142062074107259182970327288071058317316162029888199473852183032690936432871908016800027768866856505746146059097976730770905386383557007053145195643818906917765396843852578485856893570226468845663093608443668478366565786696797685314182693767799251129139167422509142617987513545042920180343495591659682326239525884694398422957313988242224353497852988078607097192713300814774680721168838839489910785018632706095276801286049679524968206551345385902907301552506394300432020150872651128635641821984082387603416763820582424017973063836796202398763674073258824410031556465313864527039138788562921986465508805214358397850961431279311150049678709573490633590487780262827788889946483938367286939185732016815624192638611399775296395998869331503395793948818076768215160340247318951757458133840508025669007862288268581136729854389095200766457464362796181259739502295232426461158982734248087378494492378507711601827510731667590249088704177879243144566084731069612202232368613561361151346072412275666055414285309187401057296293022601921393616684709185253784639643367973709190593819290523928938673885623977326722593919436433154497620823770932096225912214995761150818110263855902187278248395011239951242372888893913586356040080091553634805835103053520284727656735257200370757102533354406013252727661778988951569356436484398075080641970362421531020989736735931493438456802910535275247874358018756127266736566282729082332412592711446459114346798799947047686585794443117703096378932232941757334787153901345565254981692137380489343920519936156435990654541896576218177868683198412588968394668285300337487471262281843607223437370059644966411462541169223397076073218684314608809869406152605380155588587926679788}
23798 357173584694626684139010562786684799408565590692678663693569451207910053001410: {333046,475780,570936,642303,736777,879157,1093558,1378486,1873801,2042758,2516758,2582101,3006217,3613496,3895492,4065183,4464436,4696201,5033092,5069446,5163766,5677237,5892728,6011926,6062115,6466256,6629319,7274538,7704358,7892086,8173558,8199615,8599177,8629599,8746256,9110758,9298006,9839538,10138036,10336035,10793686,10816715,10980358,11025104,11260246,11352457,12099046,12399412,12403242,12718297,12813647,12980058,13182915,13262617,13333287,13851896,13941397,14061776,14618377,15316815,15452450,15583383,15782836,15805055,15811366,15819498,16337936,16366006,16738815,16772617,17040601,17442037,17709301,17750086,17854736,18032692,18034599,18109657,18305210,18380178,18542940,18578806,18966066,19519736,19779136,19797911,20083115,20086578,20101717,20446167,20507446,20600787,21331846,21398836,21420757,21606358,21958852,21959703,21966252,22251528,22578650,22601737,23250406,23255317,23432367,23432758,23790767,24099738,24196036,24299319,24340675,24754612,25032969,25260735,25593301,26150300,26432326,26778647,26864643,26944784,27094380,27247366,27518758,27779977,27790006,27895675,28151446,28163701,28282730,28900672,28995087,29183797,29208810,29344835,30224758,30312882,30812216,31140183,31156064,31380360,31965301,32124279,32513256,32544436,32616556,32737366,33472384,33474810,33688479,33810358,33939276,33986810,34078246,34256758,34663743,34762343,34881046,35050572,35213802,35302905,35415526,35702101,35706464,35733215,35888835,36072217,36080807,36436856,36577413,36596415,36758267,36933301,37544007,37560056,37656432,37813558,37886035,37961859,38255210,38281424,38523097,38766601,39036176,39140758,39253791,39405766,39616597,39804728,40132515,40169772,40261298,40403900,40784172,40824757,40991463,42047926,42255063,42363486,42808016,42837766,42879858,43026052,43053311,43066602,43167416,43574836,43576201,43813657,43915698,44171699,44780319,44799267,45078015,45463242,45906252,45984166,46158358,46289557,46419526,46437115,46595080,46861492,47509743,47699687,47922517,48083216,48159018,48270601,48484680,48563343,48590326,48849301,49080277,49369366,49656457,49660490,49801606,50022287,50240127,50664886,50781999,51047450,51544010,51716992,52214758,52419465,52511810,53224376,53535955,53639317,54093618,54201097,54545265,54650300,55032772,55213558,55469686,55621055,55655715,55724538,55914096,56208601,56540917,57101915,57516140,57533977,57768015,58181616,58192777,58536355,58739797,59175615,59366096,59592588,59632726,59719897,59809675,59877423,60023831,60558316,61256940,61504730,61619216,61852812,62206298,62404125,62600836,62666806,62810815,62903358,63014172,63120656,63263701,63581977,63793801,63841126,63924886,64098435,64243146,64678006,64928758,65340736,65454318,65580360,65687257,66104599,66430246,66564400,66596758,66745266,66786858,66990287,67506026,67611135,67643807,67843558,67969801,68142410,68371664,68522298,68921206,69019368,69200137,69321618,69665686,69717315,69923135,69952384,70243626,70318837,71010738,71180932,71227657,71315446,71370471,71460410,71529301,71771610,72118544,72548566,73325557,73508328,73614358,73634300,73777905,73778086,73805676,74214937,74290625,74313397,74365136,74510101,74752106,74804617,74884950,75372978,75443332,75489301,75510787,75822087,76063558,76270883,76470358,76556384,76918122,77526166,77646789,77714137,78097177,78498358,78628036,78696432,78713528,78831615,79176235,79458650,79523317,79877280,79935947,80232015,80424155,80746201,80932035,80933257,81133362,81274036,81770892,81882886,82326997,82331715,82696869,83328223,83603487,83660778,83795797,83907762,84087056,84251017,84522358,84704437,85129635,85202432,85580816,85748330,85752492,86018692,86125932,86327504,86351686,86511880,86740383,86906758,87065206,87563701,87587927,87739957,87820496,87827977,87863900,88179337,88269159,88330486,88361160,88485964,88533486,88552719,88624335,88725046,88746231,88866140,89139637,89148750,89168836,89692852,89861940,89906326,90177301,90327755,90456358,90804944,91034101,91576751,91632358,92985656,94045835,94141657,94206886,94251904,94532624,94597938,95011482,95092000,95293846,95350380,95391338,95454937,95617801,95700410,95852736,96278418,96437180,96454966,96508986,96532246,96634010,96986991,97118442,97325865,97346300,97357496,97612486,97788277,97843558,97884143,98612758,98657497,98766406,98798058,99090435,99226966,99406305,99430058,99594436,99595801,99751177,...,67115438503432424964954507414978500790743912544937562865784986645653752129087014725453162033178257788519392021100597222607745221776949426102833239718086314878024604010913695967983794289331054657531850468335148950347451884598314443192237096867624106886594679024007678654867231812734584714799907752677582998890987925703394768124215185825239537767150359258468452141017467666131854709155364835358585112565285620152203334374191732997919718721937243591275948228356372591116682829098689304840767920651965023827895494181181203511058076962464651024413091268406929936469992885635877728824193272258890664442655543286631901133920905419149336837771517978001189125812961259950708093028039625061783127249129847792010002920665361383661516947689997359061312827163746650067822837665345469709770047134198252927550691279053366818832827150612334531159958800830648480009119472115993995936596625891013701825004326180750250741684830592535742903434479644221171352659993039221438728889201460803320622580087089630450311083850209422240052512724510946787417871287658541739162778491300495183695102327379556183339197491800099121648800657059477369817998366055614192759755166374035175303005828240684143072774819362932136393557400449013208214709924308760543374735852986430406216788325928246167351423417148312846159468118175013367728784899107394013957534137530665228179728030380541302267260122313443097349084585362999897231181345418330429404666533178522950837349165740667710933687974160082939961232746955762453314329850611211473932637949343337703883206260959091975652509047064447454809396455742835227669196389157398693857452612357617942998426908661484171098223225736462843570308775519591465348003888305725872172794118013010661114761238128211539289793120273817238055543039904677965433332780140863057428981722207994419465750543232427930258517367279372776407946362354344201558560609376763167105010087265639274442875975360278942811016749030241843090802308509451465445173389372767275629969634017684519999898903356955830844457154392619797526185818825095783396722624046599347474188705799097503133309684249523069962952982271414445430932758711713093111160888774455490932106587475974243044832299210778274549036404649307862025200041653300284758619219088646965096156358079575335510579717793465728360376648095265778867728785340355339703268494640412665502717549848680045196527971274040651698876693708751133763713926981270317564380270515243387489523489359288827041597634435970982363336530246779482117910645789069951222162021081753258259234866177527949059142915201929074519287452309827018078854360952328759591450648030226308976692953462732976123581405125145730873636026959595755194303598145511109888236615047334697970796790558708182844382979698263207821537596776442146918966725074518064360235950385731670394241683334919725907550930408778598025223436288957917099662944593998303997255093690923227115152322740510370978427636187200760762038503511793432402871705094781583642801149686196544194271889609253442848639691738474101372131067741738567761567402741266097501385373633056266818864716849127096604418303348552920342041727019108618413499083121427963781101585944439533902882090425027063777880676959465051960563785890728935785893408010828435965990083890879154649731746431235656398144338868322493641726227165395783853280917372592516859926863559333340870379534060120137330452208752654580280427091485102885800556135653800031609019879091492668483427354034654726597112620962955543632296531484605103897240157685204365802912871811537028134190900104849424093623498618889067169688671520198199920571529878691664676554644568398349412636002180730852018347882472538206070734015880779904234653985981812844864327266803024797618883452592002427950506231206893422765410835156055089467449617193811753835095614109828026471913214804109228908070233382881890019682}
23799 358432920926189123438971398452816206414927835911560284195876346515990448443354: {499569,594725,713670,761248,856404,1640337,2067729,3064137,3161809,3775137,4017637,4516870,4869365,5156137,5420244,5580545,5657974,5843238,5870449,6291365,6696654,6799078,7365910,7549638,7604169,7652974,7745649,8082820,8577721,8839092,9017889,9646966,9699384,9934606,10505014,10709897,10911807,10932820,11506132,11556537,11710229,11838129,12120409,12260337,12274097,12304054,12565337,12672545,13119384,13272337,13666137,13781380,13947009,14209078,14295694,14759307,15207054,15349606,15499265,15622894,15839249,16190529,16470537,16537656,16547477,16691329,16890369,17079769,17306744,17314870,17577220,17777716,18148569,18599118,18604863,19144918,19470087,19728545,19966181,20422420,20659249,20777844,21092664,22318420,22460878,22540865,22844614,23178675,23576686,23674254,23717049,23729247,24046132,24399670,24506904,24549009,24723920,25288088,25310038,26316257,26542438,26625129,26748545,26782104,26960689,27049038,27261556,27448565,27457815,27467716,27490321,27570267,27814410,27868209,27973966,28449099,29279604,29288336,29668704,29868694,29871829,30129867,30245045,30761169,30943265,31243156,31882249,31997769,32098254,32132984,32399092,32409537,32687875,32865049,32938278,32949378,33377292,33379846,33496246,33550309,33680980,33857518,33867975,34156654,34829137,34875609,34961806,35149137,35819524,36125840,36149607,36294054,37131918,37457014,37736929,37771489,38515270,38660116,38945080,39225450,39648489,40417176,40641570,40680545,40770695,40871049,41278137,41520244,41685009,41840480,42072814,42227169,42424095,42832372,43351008,43813215,44633080,44917972,45252368,45337137,45468149,45469323,45546070,46218324,46335889,46486121,46571329,46734096,46950070,46951736,47070540,47851780,48226789,48487289,48769884,48795220,48816654,48924834,49022641,49106049,49193206,49755910,50057137,50058676,50208576,50212215,50504875,50552326,50615812,50715537,50908914,50980215,51117369,51385137,51945334,52321569,52338388,52575858,52820703,53123289,53177998,53510020,53559696,53782565,53916814,53959270,54378896,54468545,54655284,55230574,56340084,56484648,56720337,56777446,57014609,57173144,57382815,57422136,58014361,58243850,58249409,58554264,58576865,58711137,58831817,59108649,59194837,59707092,59732356,59738614,59825206,59862389,60104020,60254658,60391947,60605850,60617656,61176258,61208336,61500137,61910321,63071889,63103726,63346324,63545229,63983989,64212024,64256649,64319787,64539078,64599903,64646240,64751124,64985657,65069494,65362254,65869414,65873547,66522137,66530470,66986836,67709332,67791601,68194863,68248009,68309137,68312875,68790965,68859378,68874337,68952857,68976249,69117166,69237537,69326501,69434069,69545398,69629289,69892620,70129189,70292238,70467409,71178697,71823929,71895175,71963446,72124824,72238527,72727020,72885489,73426289,73576174,74054049,74069249,74207620,74299384,74490735,74552128,74702409,74883214,75536566,75697895,75997329,76571175,76842934,77024020,77316015,77575488,78251045,78322137,78767715,78900820,79454326,79456784,79836564,80116198,80430769,80969729,81140427,81156961,81362449,81614566,81675920,81975450,82470416,82549158,82716046,82820337,82916854,83204529,83205500,83586807,83871144,84018896,84655909,84712078,85187809,85464580,85657528,86274210,86368181,87272424,87440480,87724726,88051537,88102117,88976165,88993688,89049144,89159761,89388882,89449089,89672891,90148180,90682169,90837474,90872326,91363064,91885410,92025824,92042875,92257095,92332769,92428824,92484406,92779218,92783158,92956420,93277589,93309447,93658168,93893909,93901254,93916337,94000209,94304165,94355037,94521258,94680984,95160628,95511637,95695480,95761689,95887329,96246286,96364719,96384694,96445414,96743377,97017009,97393137,98011104,98036998,98181477,98285045,98370540,98391910,98407568,98982329,99149441,99645369,99811009,99846600,99895137,...,100673157755148637447431761122467751186115868817406344298677479968480628193630522088179743049767386682779088031650895833911617832665424139154249859577129472317036906016370543951975691433996581986297775702502723425521177826897471664788355645301436160329892018536011517982300847719101877072199861629016374498336481888555092152186322778737859306650725538887702678211526201499197782063733047253037877668847928430228305001561287599496879578082905865386913922342534558886675024243648033957261151880977947535741843241271771805266587115443696976536619636902610394904704989328453816593236289908388335996663983314929947851700881358128724005256657276967001783688719441889926062139542059437592674690873694771688015004380998042075492275421534996038591969240745619975101734256498018204564655070701297379391326036918580050228249240725918501796739938201245972720013679208173990993904894938836520552737506489271125376112527245888803614355151719466331757028989989558832158093333802191204980933870130634445675466625775314133360078769086766420181126806931487812608744167736950742775542653491069334275008796237700148682473200985589216054726997549083421289139632749561052762954508742361026214609162229044398204590336100673519812322064886463140815062103779479645609325182488892369251027135125722469269239202177262520051593177348661091020936301206295997842269592045570811953400890183470164646023626878044499845846772018127495644106999799767784426256023748611001566400531961240124409941849120433643679971494775916817210898956924015006555824809391438637963478763570596671182214094683614252841503794583736098040786178918536426914497640362992226256647334838604694265355463163279387198022005832458588808259191177019515991672141857192317308934689680410725857083314559857016948149999170211294586143472583311991629198625814848641895387776050919059164611919543531516302337840914065144750657515130898458911664313963040418414216525123545362764636203462764177198167760084059150913444954451026526779999848355035433746266685731588929696289278728237643675095083936069899021211283058698646254699964526374284604944429473407121668146399138067569639666741333161683236398159881213961364567248448816167411823554606973961793037800062479950427137928828632970447644234537119363003265869576690198592540564972142898668301593178010533009554902741960618998254076324773020067794791956911060977548315040563126700645570890471905476346570405772865081234285234038933240562396451653956473545004795370169223176865968683604926833243031622629887388852299266291923588714372802893611778931178464740527118281541428493139387175972045339463465039430194099464185372107687718596310454040439393632791455397218266664832354922571002046956195185838062274266574469547394811732306395164663220378450087611777096540353925578597505591362525002379588861326395613167897037835154433436875649494416890997455995882640536384840672728484110765556467641454280801141143057755267690148604307557642172375464201724529294816291407834413880164272959537607711152058196601612607851642351104111899146252078060449584400228297075273690644906627455022829380513062590528662927620248624682141945671652378916659300854323135637540595666821015439197577940845678836093403678840112016242653948985125836318731974597619646853484597216508302483740462589340748093675779921376058888775289890295339000011305569301090180205995678313128981870420640637227654328700834203480700047413529818637239002725141031051982089895668931444433315448444797226907655845860236527806548704369307717305542201286350157274136140435247928333600754533007280297299880857294818037497014831966852597524118954003271096278027521823708807309106101023821169856351980978972719267296490900204537196428325178888003641925759346810340134148116252734082634201174425790717630752643421164742039707869822206163843362105350074322835029523}
23800 359696668566134156774199882883692759217520999453245124304058599060112104171934: {261679,666092,951560,1070505,1116391,1141872,1258591,1284606,1400719,1473554,1758314,2187116,2676631,2756972,3100639,3241831,3747602,3946711,4085516,4087471,4509319,4649791,5033516,5164202,5491111,5631079,5910799,6012434,6190231,6329839,6775305,7226992,7790984,8130366,8276791,8486961,8764857,8928872,8968711,9382999,9392402,10044981,10066184,10072039,10103525,10138892,10198617,10327532,10347151,10759279,10896511,11048865,11170759,11324457,11354474,11479461,11718391,11785456,11855119,12023852,12124230,12128359,12932512,13258638,13666025,13897399,14382665,14470449,14549076,14844919,14901909,15143401,15408716,15757521,15784172,15788911,16192399,16347116,16399230,16595239,17131351,17198354,17226725,17259198,17492512,17532679,17799871,18221516,18333391,18456081,18596012,18998671,19264279,19662151,19679076,19794631,20276072,20672070,21247159,21313617,21443541,21510319,21587372,21633430,21641791,21960716,21971525,22050208,22127077,22222145,22429111,22520492,22704914,22810581,23024409,23083231,23434341,23474839,23865799,24126079,24198092,24775519,24798824,24806484,25034791,25164319,25436594,25528025,25627294,25960116,25972305,26326831,26365830,26525234,26666574,26713039,26841631,27703792,27739759,27882794,27898025,27898677,28116361,28123552,28379119,28717377,29016679,29236754,29652439,30057665,30633630,30665911,30904900,31166766,31548919,31565672,31610110,31622732,31633877,31638996,32051911,32428399,32675872,32732012,33304351,33477630,33545234,33691317,33927871,34076945,34081202,34266921,34334645,34549591,34884074,34921759,35365029,35418602,35500172,35511381,35664151,35709472,36065384,36069198,36219314,36599505,36610420,36760356,36895711,37085880,37157612,37753519,37932132,37965057,37997959,38242111,39039472,39053945,39337231,39558272,39595822,39813657,40064071,40166230,40173156,40203434,40498865,40573557,40892334,41014892,41029159,41082769,41201574,41389879,41721615,41749951,41960949,42101225,42587599,42663692,42797672,42841514,43183759,43212716,43540591,43917704,43919406,43932504,44133871,44503056,44774405,44803041,44843431,45157300,45203474,45315031,45550399,46500812,46510634,46605991,46864734,46865516,47581534,47772031,48147381,48199476,48236431,48325145,48352351,48392072,48598638,48681350,48876377,49392391,49407417,49424067,49509224,49622719,50026501,50065938,50069769,50082511,50244369,50521470,50786277,50998639,51186602,51226951,51234981,51340999,51682711,51796471,51900305,52202917,52300600,52442709,52477519,52817071,52864652,53040449,53540465,53557294,53729286,53831839,53889568,54188760,54441081,54494732,54728959,55037516,55287319,55510159,55559954,55580012,55697877,55791350,56147465,56176951,56185521,56302892,56327402,56565460,56841151,56951599,57172279,57722719,57772905,57801344,57990174,58367594,58380871,58417620,58599679,58689670,58838175,59145439,59472031,59814725,59906479,60231559,60449516,60555991,60625764,60663991,60962355,60994025,61095271,61624432,62280366,62312128,62573345,62595679,62760720,63109221,63128119,63269765,63870511,63930602,64248558,64504039,64819831,65011961,65026512,65088872,65233112,65422985,65474732,66804799,66887525,66908551,66944768,66949620,67376958,67620716,67878552,67973620,68045071,68156492,68319105,68513516,68661319,69172879,69327486,69478951,69524686,69762092,70101144,70425105,70427604,70494511,70605810,70831052,71404202,71412928,71466430,71703679,71777670,72144434,72161614,72404239,72873712,73001911,73101271,73154826,73192830,73224981,73387251,73516534,73789809,73866602,73893559,73992271,74633865,74665445,74950337,75088014,75120112,75130025,75312864,75627116,75659359,75772070,75828489,75923718,76048591,76339759,76363371,76510420,76562848,76823599,77016631,77046194,77305639,77533202,77785879,77869477,77918001,78072352,78123617,78281516,78359791,78507582,78811532,78863787,79182905,79233194,79310551,79609456,79766997,79942681,79971799,80265030,80339544,80348071,80522596,80629519,80807800,80875221,80938905,81376879,81568344,81649514,81950897,81982926,82581511,82765759,82845861,82949719,83225119,83733545,84095852,84394409,84411031,84510126,84636665,84726972,84954271,85166169,85314991,85494919,85616032,85674559,85675532,85759716,86052104,86106622,86133204,86334832,86568439,87149672,87152402,87365775,87627314,87831396,87935141,88343398,88858831,88945951,89074997,89240021,89467159,89560638,89598534,89607921,89737809,90071959,90156030,90381987,90908775,90926484,91015231,91185799,91764387,91812504,91968332,92316716,92455879,92579114,92759525,92839052,92874230,93043039,93190160,93722984,94041391,94655589,94701199,95019486,95111239,95193031,95356399,95399374,95845034,96166432,96280025,96318036,96541202,96808617,96969360,97126686,97180652,97533679,97604241,97698602,97772359,97892389,98010391,98043381,98160554,98478809,98626025,98738732,98804121,99190831,99312914,99320980,99346999,99603212,99795705,...,134230877006864849929909014829957001581487825089875125731569973291307504258174029450906324066356515577038784042201194445215490443553898852205666479436172629756049208021827391935967588578662109315063700936670297900694903769196628886384474193735248213773189358048015357309734463625469169429599815505355165997781975851406789536248430371650479075534300718516936904282034935332263709418310729670717170225130571240304406668748383465995839437443874487182551896456712745182233365658197378609681535841303930047655790988362362407022116153924929302048826182536813859872939985771271755457648386544517781328885311086573263802267841810838298673675543035956002378251625922519901416186056079250123566254498259695584020005841330722767323033895379994718122625654327493300135645675330690939419540094268396505855101382558106733637665654301224669062319917601661296960018238944231987991873193251782027403650008652361500501483369661185071485806868959288442342705319986078442877457778402921606641245160174179260900622167700418844480105025449021893574835742575317083478325556982600990367390204654759112366678394983600198243297601314118954739635996732111228385519510332748070350606011656481368286145549638725864272787114800898026416429419848617521086749471705972860812433576651856492334702846834296625692318936236350026735457569798214788027915068275061330456359456060761082604534520244626886194698169170725999794462362690836660858809333066357045901674698331481335421867375948320165879922465493911524906628659701222422947865275898686675407766412521918183951305018094128894909618792911485670455338392778314797387714905224715235885996853817322968342196446451472925687140617551039182930696007776611451744345588236026021322229522476256423078579586240547634476111086079809355930866665560281726114857963444415988838931501086464855860517034734558745552815892724708688403117121218753526334210020174531278548885751950720557885622033498060483686181604617018902930890346778745534551259939268035369039999797806713911661688914308785239595052371637650191566793445248093198694948377411598195006266619368499046139925905964542828890861865517423426186222321777548910981864213174951948486089664598421556549098072809298615724050400083306600569517238438177293930192312716159150671021159435586931456720753296190531557735457570680710679406536989280825331005435099697360090393055942548081303397753387417502267527427853962540635128760541030486774979046978718577654083195268871941964726673060493558964235821291578139902444324042163506516518469732355055898118285830403858149038574904619654036157708721904657519182901296060452617953385906925465952247162810250291461747272053919191510388607196291022219776473230094669395941593581117416365688765959396526415643075193552884293837933450149036128720471900771463340788483366669839451815101860817557196050446872577915834199325889187996607994510187381846454230304645481020741956855272374401521524077007023586864805743410189563167285602299372393088388543779218506885697279383476948202744262135483477135523134805482532195002770747266112533637729433698254193208836606697105840684083454038217236826998166242855927562203171888879067805764180850054127555761353918930103921127571781457871571786816021656871931980167781758309299463492862471312796288677736644987283452454330791567706561834745185033719853727118666681740759068120240274660904417505309160560854182970205771601112271307600063218039758182985336966854708069309453194225241925911087264593062969210207794480315370408731605825743623074056268381800209698848187246997237778134339377343040396399841143059757383329353109289136796698825272004361461704036695764945076412141468031761559808469307971963625689728654533606049595237766905184004855901012462413786845530821670312110178934899234387623507670191228219656052943826429608218457816140466765763780039364}
23801 360964842967116583647588556830759889590404369559146253385576655682601259241896: {23801,832615,999138,1189450,1427340,1522496,1712808,1926909,2210331,2637471,2733895,3280674,3446215,4135458,4445551,5106895,5621403,6013051,6128274,6291895,6323618,6817111,6868663,7550274,7579759,7746303,7812763,8035274,8807911,9018651,9033740,9290551,9667471,9738730,10312274,10840488,11161090,11232331,11315948,11686476,11740898,12195549,12275131,12517831,12582730,12657151,12673615,12909415,13087903,13393308,13598156,14088603,14505751,14731820,14936863,15029815,15099276,15208338,15305948,15491298,16165640,16548871,16931611,17031711,17155442,17354671,17678184,17741563,18035778,18186345,18494239,18524539,19260895,19293932,19398768,19730215,19869212,19887957,19967863,20203591,20433895,21010028,21343159,21419794,21698971,21823614,21865640,22776895,23012264,23113074,23245015,23420458,23676258,24240818,24520674,24548194,24598845,24608108,25130674,25345090,25797531,25888797,26238768,26318479,26544674,26837371,26984215,27332274,27450895,27562760,27619963,27894018,28150615,28418156,28591388,29430511,29518614,30247615,30414108,30699212,30998530,31008105,31101031,31245788,31557211,31678498,32186683,32381058,32450145,32941074,33057211,33075312,33094954,33382658,33780738,34057371,34159538,34613488,34629740,35154440,35555432,36297138,36456103,37198236,37209726,37447963,38154891,38289836,38427991,38440941,38631125,38940174,39059863,39457090,39528415,39548745,39787851,39871639,39932362,39999861,40814191,40844840,40915015,41318498,41555688,41824191,42185328,42343063,42363211,43068463,43320571,43395451,43855131,44375215,44636840,44921756,45081730,45471991,45689228,45763025,45950445,46357350,46447015,46750149,47005519,47153372,47348508,47415165,47434098,47458494,48092264,48491383,48799340,49013808,49098018,49447840,49581499,50216445,50317851,50576176,50620076,50817343,51121803,51126031,51268615,52326111,52632514,53084876,53127903,53250258,53329615,53497090,53564208,53921378,54015895,54098076,54103797,54328971,54523112,54897130,54915630,54935432,54938143,54980642,55001671,55140534,55628820,55736418,55947932,56446625,56898198,56952763,57019423,57078973,57809851,58126015,58254331,58559208,58576672,58581895,58836811,59337408,59338183,59350159,59393733,59737388,59743658,60249345,60259734,60305151,60376591,60490090,60665911,60946651,61338501,61522338,61802361,61886530,62428399,62486312,63060463,63764498,63995538,64196508,64262271,64265968,64798184,64819074,64991179,65375750,65730098,65876556,65879109,65898756,66080815,66754584,66759692,66905023,66992492,67100618,67361960,67715036,67735950,67805211,68118415,68313308,68796895,68958679,69332359,69475015,69528511,69658274,69751218,69765951,69923612,70297101,70298274,70378615,70699303,70706825,70895191,71372301,71639048,72251680,72299214,72316411,72588108,72626431,72666319,72897957,73022025,73166743,74075503,74107639,74263836,74590363,74798743,74914028,75098907,75295591,75473858,75542978,75561895,75730831,75782205,76255963,76580071,76606471,76779903,76801231,77030540,77320232,77602783,77890160,78450900,78490171,78617071,79296978,80273803,80335941,80572831,80593929,80834352,80976583,81283140,81361090,81541390,81742098,81843415,81850351,82007611,82056571,82556274,83040488,83339931,83370018,83680960,83687025,84145628,84454338,84491103,84525895,84848190,84967025,85195615,85414219,85641895,85664744,86375479,86702016,86985261,87202615,87551391,87626430,88034505,88428631,88538815,89096551,89266160,89319751,89835944,90504736,90581263,90674274,90906463,90936298,90938646,91092140,92340571,92436648,92529019,92671778,92972242,93142658,93420549,93468192,93900140,93903472,94107751,94141080,94533895,95264623,95638025,95703560,95895903,96079951,96307351,96372837,96453578,96974578,97157083,97539768,97590440,97633308,97849668,97851895,98045282,98212098,98386412,98514415,99102103,99157819,99511820,...,201346315510297274894863522244935502372231737634812688597354959936961256387261044176359486099534773365558176063301791667823235665330848278308499719154258944634073812032741087903951382867993163972595551405005446851042355653794943329576711290602872320659784037072023035964601695438203754144399723258032748996672963777110184304372645557475718613301451077775405356423052402998395564127466094506075755337695856860456610003122575198993759156165811730773827844685069117773350048487296067914522303761955895071483686482543543610533174230887393953073239273805220789809409978656907633186472579816776671993327966629859895703401762716257448010513314553934003567377438883779852124279084118875185349381747389543376030008761996084150984550843069992077183938481491239950203468512996036409129310141402594758782652073837160100456498481451837003593479876402491945440027358416347981987809789877673041105475012978542250752225054491777607228710303438932663514057979979117664316186667604382409961867740261268891350933251550628266720157538173532840362253613862975625217488335473901485551085306982138668550017592475400297364946401971178432109453995098166842578279265499122105525909017484722052429218324458088796409180672201347039624644129772926281630124207558959291218650364977784738502054270251444938538478404354525040103186354697322182041872602412591995684539184091141623906801780366940329292047253756088999691693544036254991288213999599535568852512047497222003132801063922480248819883698240867287359942989551833634421797913848030013111649618782877275926957527141193342364428189367228505683007589167472196081572357837072853828995280725984452513294669677209388530710926326558774396044011664917177616518382354039031983344283714384634617869379360821451714166629119714033896299998340422589172286945166623983258397251629697283790775552101838118329223839087063032604675681828130289501315030261796917823328627926080836828433050247090725529272406925528354396335520168118301826889908902053053559999696710070867492533371463177859392578557456475287350190167872139798042422566117397292509399929052748569209888858946814243336292798276135139279333482666323366472796319762427922729134496897632334823647109213947923586075600124959900854275857657265940895288469074238726006531739153380397185081129944285797336603186356021066019109805483921237996508152649546040135589583913822121955096630081126253401291141780943810952693140811545730162468570468077866481124792903307912947090009590740338446353731937367209853666486063245259774777704598532583847177428745605787223557862356929481054236563082856986278774351944090678926930078860388198928370744215375437192620908080878787265582910794436533329664709845142004093912390371676124548533148939094789623464612790329326440756900175223554193080707851157195011182725050004759177722652791226335794075670308866873751298988833781994911991765281072769681345456968221531112935282908561602282286115510535380297208615115284344750928403449058589632582815668827760328545919075215422304116393203225215703284702208223798292504156120899168800456594150547381289813254910045658761026125181057325855240497249364283891343304757833318601708646271275081191333642030878395155881691357672186807357680224032485307897970251672637463949195239293706969194433016604967480925178681496187351559842752117777550579780590678000022611138602180360411991356626257963740841281274455308657401668406961400094827059637274478005450282062103964179791337862888866630896889594453815311691720473055613097408738615434611084402572700314548272280870495856667201509066014560594599761714589636074994029663933705195048237908006542192556055043647417614618212202047642339712703961957945438534592981800409074392856650357776007283851518693620680268296232505468165268402348851581435261505286842329484079415739644412327686724210700148645670059046}
23802 362237459534874503766346026650970572675227820248477572940400117370102211492130: {309257,523358,689417,974201,1332184,1400837,1448201,1498707,1784175,1903120,1968677,2141010,2232782,2283744,2517182,2569212,2676857,2801438,2947108,3100901,3289157,3516628,4087817,4228517,4374232,4556537,4696997,4921011,5353262,5513944,5631557,5678201,6190757,6201278,6203187,6376901,6483662,6888137,7495204,7893422,8171032,8174942,9018638,9192411,9299582,9485427,10067032,10072901,10118777,10328404,10805957,10982222,11262158,11292175,11325411,11445701,11821598,11856137,12024868,12052911,12174917,12380462,12659678,13550610,13762937,13898597,13943801,14144935,14214857,14453984,14608095,14891237,15251237,15468411,15581968,16260732,16553582,16741635,16973922,16997695,17043557,17132837,17529714,17534201,17611347,17801417,17857744,17937422,18414775,18601337,18765998,18784804,18874095,19044617,19132435,19265957,19708037,20089962,20132368,20135731,20144078,20193401,20207050,20277784,20397234,20655064,20694302,21512201,21518558,21793022,22097730,22341518,22605701,22648914,22708948,22812507,22958922,23215877,23236947,23436782,23520377,23570912,23710238,23911301,24047704,24117415,24128201,24171557,24248460,24256718,24820937,24836515,25036997,25468517,25733163,25865024,26071301,26262535,26329157,26517276,26715401,27053667,27332050,27742217,27784901,27794798,28381637,28765330,28940898,29061701,29098152,29273801,29655077,29689838,29697401,29803818,30286802,30542201,30760135,30817432,31111003,31515042,31568344,31577822,32054777,32129691,32384798,32473097,32598437,32694232,32735421,32798460,33190478,33432197,33681701,33930917,34096901,34262702,34345637,34396708,34453450,34518396,34669611,34985024,35065358,35130687,35514387,35522695,35599742,35708537,35739235,35790857,36361227,36443032,36666782,36781011,36822291,36912162,36939977,37192024,37385491,37430537,37696011,37756937,37997342,38017635,38042117,38374015,38528558,39057235,39324302,39358152,39381257,39589262,39817011,39825701,40552144,40998411,41073017,41344140,41841027,42080731,42232901,42494318,42627234,42631301,42887082,43020638,43174744,43266860,43283582,43287175,43584197,43663397,43921432,43943050,44100416,44177417,44254154,44277921,44444290,44847557,44858222,45040984,45358457,45409828,45621162,46048818,46141817,46166462,46376201,46497795,46610297,46868682,46949678,47517747,47582597,47707723,47731598,47776457,47862295,48068503,48252158,48279557,48356837,48396184,48571587,48935417,49089401,49411611,49551038,49597648,49612968,49627337,49642431,49665701,50069582,50073987,50328638,50671107,50873188,51041477,51056050,51239307,51254588,51573701,51801317,51920232,51944610,52653662,52731660,53050468,53333148,53426078,53683262,54445707,54626539,54675523,54957701,55292537,55407584,55479518,55737977,55765588,55796050,55797354,55814589,56152195,56219237,56232722,56247104,56293157,56698411,56758238,57111535,57214457,57434754,57728201,57762991,58033358,58410261,58473508,58605257,58641701,58823801,58941715,59151077,59185635,59304878,59586437,59898543,60115330,60669797,60999175,61267260,61331822,61567097,61809800,61977747,62333532,62684167,63097838,63131344,63220220,63245464,63267754,63275095,63275897,63277992,63876677,64103822,64334537,64545401,64856798,65281157,65351744,65464024,65769701,65978597,66082937,66356095,66608702,66811301,66845897,66949637,66955260,67090468,67382634,67622595,67655203,67855742,67983077,68051717,68153890,68162404,68533842,68668037,68669290,68702201,68872901,69099182,69213701,69536025,69587657,69768148,69843518,69926777,69934915,70197497,70400201,70535177,70730058,70837204,71000344,71022762,71151147,71187741,71328302,71418944,71610377,71744201,72130768,72138396,72244901,72438628,72444677,72660427,73199010,73220840,73520712,73647027,73703237,73791422,73933817,74171760,74315224,74393801,74671735,74956651,75015557,75507038,75666917,75864264,75930114,75995918,76379717,76484222,76863497,77441657,77793701,78078944,78107890,78606451,78674462,78948771,79034057,79116544,79191644,79223801,79627314,79875387,79979897,80011301,80128142,80245635,80332460,80346312,80406868,80668937,80882067,80997730,81147114,81784668,82029784,82058318,82165538,82345695,82373445,82403148,82470963,82620677,82710801,82779758,82804901,82988837,83233637,83264201,83416901,83443230,83449615,83499902,83604627,83740615,83921898,84202450,84449957,84643795,84963017,85175198,85327384,85347297,85391635,85595344,85683028,85683401,85713317,86367518,86425432,86607077,86755337,87051257,87081182,87404515,87602683,87835408,87838812,87865008,88080677,88197701,88267742,88577671,88635401,88897157,89006112,89245157,89548810,89606082,89615487,89686862,90081401,90110117,90196217,90253577,90314600,90389601,90406948,90511301,90630062,90735135,91053257,91100798,91110137,91223801,91592179,92283507,92327911,92465657,92661797,92829795,93001624,93021268,93080777,93211982,93220037,93642535,93729468,93731032,93996197,94134137,94323163,94820837,95163068,95393801,95544062,95646747,95993307,96288175,96294762,96398952,96472862,96650290,96704702,96784144,96850937,97197276,97228611,97362700,97544201,97752754,97782917,97809401,98063625,98179337,98595147,98731301,98784782,98814834,98848134,99018448,99245438,99738847,99772901,...,302019473265445912342295283367403253558347606452219032896032439905441884580891566264539229149302160048337264094952687501734853497996272417462749578731388416951110718049111631855927074301989745958893327107508170276563533480692414994365066935904308480989676055608034553946902543157305631216599584887049123495009445665665276456558968336213577919952176616663108034634578604497593346191199141759113633006543785290684915004683862798490638734248717596160741767027603676660025072730944101871783455642933842607225529723815315415799761346331090929609858910707831184714114967985361449779708869725165007989991949944789843555102644074386172015769971830901005351066158325669778186418626178312778024072621084315064045013142994126226476826264604988115775907722236859925305202769494054613693965212103892138173978110755740150684747722177755505390219814603737918160041037624521972981714684816509561658212519467813376128337581737666410843065455158398995271086969968676496474280001406573614942801610391903337026399877325942400080236307260299260543380420794463437826232503210852228326627960473208002825026388713100446047419602956767648164180992647250263867418898248683158288863526227083078643827486687133194613771008302020559436966194659389422445186311338438936827975547466677107753081405377167407807717606531787560154779532045983273062808903618887993526808776136712435860202670550410493938070880634133499537540316054382486932320999399303353278768071245833004699201595883720373229825547361300931039914484327750451632696870772045019667474428174315913890436290711790013546642284050842758524511383751208294122358536755609280743492921088976678769942004515814082796066389489838161594066017497375766424777573531058547975016425571576951926804069041232177571249943679571050844449997510633883758430417749935974887595877444545925686163328152757177493835758630594548907013522742195434251972545392695376734992941889121255242649575370636088293908610388292531594503280252177452740334863353079580339999545065106301238800057194766789088867836184712931025285251808209697063633849176095938764099893579122853814833288420221365004439197414202708919000223999485049709194479643641884093701745346448502235470663820921885379113400187439851281413786485898911342932703611358089009797608730070595777621694916428696004904779534031599028664708225881856994762228974319060203384375870733182932644945121689380101936712671415716429039711217318595243702855702116799721687189354961869420635014386110507669530597906050814780499729094867889662166556897798875770766143118408680835336793535394221581354844624285479418161527916136018390395118290582298392556116323063155788931362121318180898374366191654799994497064767713006140868585557514186822799723408642184435196919185493989661135350262835331289621061776735792516774087575007138766583979186839503691113505463300310626948483250672992367987647921609154522018185452332296669402924362842403423429173265803070445812922672926517126392605173587884448874223503241640492818878612823133456174589804837823554927053312335697438756234181348753200684891225821071934719882365068488141539187771585988782860745874046425837014957136749977902562969406912621787000463046317592733822537036508280211036520336048727961846955377508956195923792858940560453791649524907451221387768022244281027339764128176666325869670886017000033916707903270540617987034939386945611261921911682962986102502610442100142240589455911717008175423093155946269687006794333299946345334391680722967537580709583419646113107923151916626603859050471822408421305743785000802263599021840891899642571884454112491044495900557792572356862009813288834082565471126421927318303071463509569055942936918157801889472700613611589284975536664010925777278040431020402444348758202247902603523277372152892257930263494226119123609466618491530086316050222968505088569}
23803 363514533728411663868093514912037470514860427319230682986585453444340765708153: {47602,785037,1165661,1665230,1998276,2378900,2854680,3044992,3211515,3349173,3425616,3683885,3775773,3827453,3853818,4202157,4395785,4420662,4824701,4968557,5253833,5274942,5467790,6561348,6892430,7106333,7149653,7676741,8029893,8102501,8270916,8808653,8891102,8957897,9301917,9369005,9725493,10213790,10383557,11242806,11425193,11840133,12026102,12256548,12262413,12583790,12647236,12910505,13274573,13527957,13634222,13737326,13949373,13990517,14506973,15031085,15100548,15159518,15492606,15625526,16070548,16473333,16694141,16893237,17356133,17615822,17732397,17743061,18037302,18067480,18073181,18495797,18570693,18581102,18989517,19046357,19334942,19396397,19477460,20205293,20325915,20624548,21041741,21344957,21680976,21892637,22322180,22464662,22631896,22815101,23372952,23481005,23481796,24391098,24550262,24830373,25035662,25165460,25314302,25347230,25460883,25818830,26175806,26294571,26786616,26839637,26906133,26965253,27015941,27196312,27622301,28148997,28177206,28386185,28607453,29011502,29463640,29873726,30059630,30134943,30198552,30216117,30310575,30416676,30595851,30611896,30982596,31041453,31103657,31716893,31887653,32277837,32331280,32543021,32689533,33097742,33146595,33277757,33512277,33863222,33973371,34063422,34310884,34438383,34709342,34781513,35155173,35356368,35483126,35565357,36071556,36372690,36385077,36988478,37049078,37777901,38431253,38521790,38587864,38797536,38970317,39063161,39067613,39410861,39460430,39738424,39775914,39935726,40407182,40867790,40998075,41247341,41692197,41816597,42020056,42346661,42366797,42686318,42839588,42995885,43147995,43397942,43411347,43647228,43655141,43731280,43873481,44534757,44705727,45430203,45553790,46024528,46226148,46490030,46840916,47272563,47352516,47366733,48135341,48234953,48481636,48577197,49041348,49096388,49197690,49216216,49785717,50065613,50100677,50261348,50690180,50821637,51285533,51394053,51595062,51645077,51680175,51777594,52477536,52598037,52636958,53089348,53399613,53674742,53968430,54083575,54664548,54731501,54901790,55000173,55125520,55239926,55339781,55368243,55551977,55788036,56090813,56301230,56762285,56836312,56996013,57182776,57281021,57792837,58596317,58861022,58986453,59037228,59343197,59355197,59383893,60421673,60495230,60828216,60951797,61398424,61997060,62016210,62125301,62202062,62491576,63065801,63114422,63356996,63591485,63741477,63940851,64068235,64330623,64373366,64530957,64762116,64900290,64925373,65025821,65459333,65882148,65914575,66114422,66150624,66189908,66313085,66381231,66603401,66666435,66765316,67287333,67561476,67803077,68114742,68319076,68320733,68431743,69073227,69226976,69237101,69249693,69259480,69534413,69706985,70141097,70303023,70308880,70424517,70479341,70705277,70901177,71110864,71354153,71597397,71776061,72322517,72378237,72594276,72912206,73091885,73183517,73779017,74113901,74326557,74353493,74396472,74419452,74596661,74661461,74895926,75104373,75492957,75575117,75622253,76309782,76579672,76584075,76586537,76807757,76855982,76881882,77262250,77408633,77880348,77916915,77968361,78119726,78914180,78980493,79025275,79056830,79097490,79575702,79743278,79864724,79957277,79999722,80139117,80524893,81170717,81376421,81628382,81689680,81830030,82014653,82063517,82636996,83111376,83219277,83648382,83694075,83696031,83863085,84349083,84370656,84503213,84686126,84726422,84948041,85137357,85203005,85302653,85618997,85878377,86136926,86152131,86641142,86790902,87050037,87210185,87710262,87912701,88546505,88750430,88957317,89273680,89327333,89500073,89843512,90163460,90172995,90179693,90548285,90588917,90943982,91378456,91526050,91606313,91707401,91900890,91997733,92513141,92714700,92894030,93500298,93595181,94011038,94306744,94646757,94697016,94830330,94868196,94901631,94916988,95365781,96155733,96184528,96315653,96732233,96982766,97265021,97285197,97598680,98027616,98196036,98242637,98530061,98698373,98895680,98989555,99110477,99162998,99827957,99913053,...,402692631020594549789727044489871004744463475269625377194709919873922512774522088352718972199069546731116352126603583335646471330661696556616999438308517889268147624065482175807902765735986327945191102810010893702084711307589886659153422581205744641319568074144046071929203390876407508288799446516065497993345927554220368608745291114951437226602902155550810712846104805996791128254932189012151510675391713720913220006245150397987518312331623461547655689370138235546700096974592135829044607523911790142967372965087087221066348461774787906146478547610441579618819957313815266372945159633553343986655933259719791406803525432514896021026629107868007134754877767559704248558168237750370698763494779086752060017523992168301969101686139984154367876962982479900406937025992072818258620282805189517565304147674320200912996962903674007186959752804983890880054716832695963975619579755346082210950025957084501504450108983555214457420606877865327028115959958235328632373335208764819923735480522537782701866503101256533440315076347065680724507227725951250434976670947802971102170613964277337100035184950800594729892803942356864218907990196333685156558530998244211051818034969444104858436648916177592818361344402694079249288259545852563260248415117918582437300729955569477004108540502889877076956808709050080206372709394644364083745204825183991369078368182283247813603560733880658584094507512177999383387088072509982576427999199071137705024094994444006265602127844960497639767396481734574719885979103667268843595827696060026223299237565754551853915054282386684728856378734457011366015178334944392163144715674145707657990561451968905026589339354418777061421852653117548792088023329834355233036764708078063966688567428769269235738758721642903428333258239428067792599996680845178344573890333247966516794503259394567581551104203676236658447678174126065209351363656260579002630060523593835646657255852161673656866100494181451058544813851056708792671040336236603653779817804106107119999393420141734985066742926355718785157114912950574700380335744279596084845132234794585018799858105497138419777717893628486672585596552270278558666965332646732945592639524855845458268993795264669647294218427895847172151200249919801708551715314531881790576938148477452013063478306760794370162259888571594673206372712042132038219610967842475993016305299092080271179167827644243910193260162252506802582283561887621905386281623091460324937140936155732962249585806615825894180019181480676892707463874734419707332972126490519549555409197065167694354857491211574447115724713858962108473126165713972557548703888181357853860157720776397856741488430750874385241816161757574531165821588873066659329419690284008187824780743352249097066297878189579246929225580658652881513800350447108386161415702314390022365450100009518355445305582452671588151340617733747502597977667563989823983530562145539362690913936443062225870565817123204564572231021070760594417230230568689501856806898117179265165631337655520657091838150430844608232786406450431406569404416447596585008312241798337600913188301094762579626509820091317522052250362114651710480994498728567782686609515666637203417292542550162382667284061756790311763382715344373614715360448064970615795940503345274927898390478587413938388866033209934961850357362992374703119685504235555101159561181356000045222277204360720823982713252515927481682562548910617314803336813922800189654119274548956010900564124207928359582675725777733261793779188907630623383440946111226194817477230869222168805145400629096544561740991713334403018132029121189199523429179272149988059327867410390096475816013084385112110087294835229236424404095284679425407923915890877069185963600818148785713300715552014567703037387241360536592465010936330536804697703162870523010573684658968158831479288824655373448421400297291340118092}
23804 364796081060180426850282330300012317304699973170435056053655687249338212752056: {71403,618514,736963,879379,1021723,1046716,1378834,1448323,1948402,2497845,2664368,2801674,2896402,2973625,2997414,3006979,3568350,3806240,3937354,4275763,4282020,4465564,4567488,4978123,5034364,5138424,5258563,5353714,5602876,5678683,5780727,5894216,6201802,6578314,6630993,7033256,7213579,7769563,7912413,8175634,8201685,8457034,8739763,8748464,9113074,9393994,9842022,10119643,10338645,10706524,11027888,11263114,11356402,12381514,12402556,12406374,12753802,12967324,13336653,13401979,13776274,13945003,14080579,14622163,14990408,15297523,15320685,15567163,15786844,15809045,16342064,16349884,16864209,16911043,17312803,18037276,18039153,18114379,18384822,18599164,18647323,18875685,18970854,19802909,20088185,20134064,20145802,20237554,20239243,20451333,20605989,20656808,21611914,21964444,22524316,22584350,22650822,22738579,22739277,22891402,23238909,23261443,23438289,23643196,23712274,23796773,24049736,24105822,24173683,24346825,24349834,24693379,24760924,25319356,25780685,26116603,26423733,26785409,27055953,27101220,27525874,27787363,27797194,27871653,27887602,27902725,27915379,28289870,28429714,28907968,29002413,29216190,29318803,29352245,29700043,29782474,30502474,30936822,31163936,31456825,31848163,32521464,33107164,33483270,33696993,33764381,33947844,33995390,34087114,34099963,34265674,34771121,35059428,35068402,35222694,35602834,35715488,35874844,36586647,36697579,36767549,36825393,36829550,37202674,37433923,37531996,37553493,37569608,37748190,37971453,38020845,38089234,38264870,38411683,38531914,38655403,38728245,39141979,39263709,39416074,39627403,40179924,40264736,40271462,40288156,40386802,40414100,40555568,40794468,40835923,40956379,41310128,41388604,42265809,42276643,42888605,43024402,43037116,43064189,43350379,43517253,43586044,43944379,44182853,44195460,44654803,44683036,44810589,45089445,45211402,45297828,45417896,45625014,45917844,46185163,46419523,46431754,46473894,46873564,47040754,47141824,47420476,47587003,47822602,48095408,48234830,48256402,48343114,48496920,48513436,49093963,49209379,49641874,49646613,49670323,49673030,49731773,50034929,50073994,50794833,50817643,50937034,51095133,51466326,51730048,52064013,52142602,52525070,52658314,53034552,53224689,53430802,53549485,53654443,53723621,54107334,54328579,54559035,54664100,54680129,55000123,55446379,55482717,55484434,55569802,55573617,55589596,56002579,56667643,56763274,57530660,57782685,57881796,58123402,58196304,58547602,58551145,58647283,58865803,59190645,59310154,59379676,59394802,59607636,59663871,59845579,59903589,60573604,60602045,60610773,60927379,61084402,61301685,61370485,61520270,61634864,62222006,62826685,63030084,63136688,63155644,63362725,63494323,64029477,64109554,64259382,64558637,64769596,64946194,65096913,65196874,65287483,65388464,65470842,65596920,66361685,66380956,66852403,66864394,67007213,67163443,67363402,67861834,68193802,68265353,68330685,68525404,68691274,68708923,68793416,68906900,68913763,69036792,69339222,69735045,69970048,70130716,70261374,70339579,70440883,71028774,71045390,71199484,71349379,71417074,71478470,71581714,72252043,72722454,72886064,73248163,73333564,73446523,73562022,73644582,73796535,73824324,73879954,74237083,74335579,74384048,74770982,74861074,74925043,75392022,75513874,75901723,75994684,76035270,76084234,76748030,77057116,77256979,77392593,77496325,77666391,78114470,78311923,78613073,78648604,78716304,78762514,78955437,79178524,79196245,79263403,79634022,79641979,79651402,79956149,80019403,80512113,80952645,81104288,81996822,82146034,82352203,82352685,82518401,82688280,82737385,82859889,83272723,83349277,83455963,83456645,83682054,83821579,84161462,84276979,84451845,84465802,84730579,84821083,84988636,85254468,85262602,85398845,85722163,85774164,86041276,86349488,86533720,86567164,86574350,87168394,87326794,87842864,87855379,87886100,88200832,88206883,88291533,88294579,88354834,88508308,88555842,88585133,88644643,88888580,89254483,89695114,89716444,90081968,90119563,90716914,90742845,90819656,91242324,91658563,92097636,92283634,92332924,92752402,92898533,92995590,93024315,93220594,93303093,93737364,93899356,94171723,94671633,95035494,95165194,95415446,95463196,95552914,95567083,95724590,96137006,96297379,96504316,96559114,96560049,96713674,96792368,97143174,97350435,97819963,97870834,97908881,98178802,98374363,98642725,98689579,98823222,99102076,99171633,99195296,99225936,99254674,99284862,99331402,99472579,99830905,99861379,...,604038946530891824684590566734806507116695212904438065792064879810883769161783132529078458298604320096674528189905375003469706995992544834925499157462776833902221436098223263711854148603979491917786654215016340553127066961384829988730133871808616961979352111216069107893805086314611262433199169774098246990018891331330552913117936672427155839904353233326216069269157208995186692382398283518227266013087570581369830009367725596981277468497435192321483534055207353320050145461888203743566911285867685214451059447630630831599522692662181859219717821415662369428229935970722899559417739450330015979983899889579687110205288148772344031539943661802010702132316651339556372837252356625556048145242168630128090026285988252452953652529209976231551815444473719850610405538988109227387930424207784276347956221511480301369495444355511010780439629207475836320082075249043945963429369633019123316425038935626752256675163475332821686130910316797990542173939937352992948560002813147229885603220783806674052799754651884800160472614520598521086760841588926875652465006421704456653255920946416005650052777426200892094839205913535296328361985294500527734837796497366316577727052454166157287654973374266389227542016604041118873932389318778844890372622676877873655951094933354215506162810754334815615435213063575120309559064091966546125617807237775987053617552273424871720405341100820987876141761268266999075080632108764973864641998798606706557536142491666009398403191767440746459651094722601862079828968655500903265393741544090039334948856348631827780872581423580027093284568101685517049022767502416588244717073511218561486985842177953357539884009031628165592132778979676323188132034994751532849555147062117095950032851143153903853608138082464355142499887359142101688899995021267767516860835499871949775191754889091851372326656305514354987671517261189097814027045484390868503945090785390753469985883778242510485299150741272176587817220776585063189006560504354905480669726706159160679999090130212602477600114389533578177735672369425862050570503616419394127267698352191877528199787158245707629666576840442730008878394828405417838000447998970099418388959287283768187403490692897004470941327641843770758226800374879702562827572971797822685865407222716178019595217460141191555243389832857392009809559068063198057329416451763713989524457948638120406768751741466365865289890243378760203873425342831432858079422434637190487405711404233599443374378709923738841270028772221015339061195812101629560999458189735779324333113795597751541532286236817361670673587070788443162709689248570958836323055832272036780790236581164596785112232646126311577862724242636361796748732383309599988994129535426012281737171115028373645599446817284368870393838370987979322270700525670662579242123553471585033548175150014277533167958373679007382227010926600621253896966501345984735975295843218309044036370904664593338805848725684806846858346531606140891625845345853034252785210347175768897748447006483280985637757225646266912349179609675647109854106624671394877512468362697506401369782451642143869439764730136976283078375543171977565721491748092851674029914273499955805125938813825243574000926092635185467645074073016560422073040672097455923693910755017912391847585717881120907583299049814902442775536044488562054679528256353332651739341772034000067833415806541081235974069878773891222523843823365925972205005220884200284481178911823434016350846186311892539374013588666599892690668783361445935075161419166839292226215846303833253207718100943644816842611487570001604527198043681783799285143768908224982088991801115585144713724019626577668165130942252843854636606142927019138111885873836315603778945401227223178569951073328021851554556080862040804888697516404495805207046554744305784515860526988452238247218933236983060172632100445937010177138}
23805 366082117096265365312859601520299672548894337020620922493974201904060565314063: {95204,927771,1308395,1570074,2068251,2331322,2922603,3330460,3996552,4202511,4344603,4496121,4757800,5157439,5352525,5581955,5709360,5871931,5906031,6089984,6154099,6292955,6423030,6698346,6851232,7003595,7367770,7551546,7654906,7707636,8030571,8404314,8579887,8791570,8841324,9302703,9575683,9649402,9867471,9937114,10507666,10549884,10712603,10935580,12263451,12277199,12685551,13116607,13122696,13383155,13669611,13784860,13841003,14090991,14212666,14299306,14763033,15353482,15503195,15843251,16059786,16205002,16209155,16541832,16551659,16894671,17034603,17617306,17782204,17915794,18074707,18572271,18603834,18609561,18738010,18969059,19130703,19398031,19450986,19733555,19971227,20427580,20437355,20664411,20767114,21043519,22387763,22485612,22509331,22546595,22817023,22850386,23248955,23680266,24052204,24513096,24524826,25167580,25294472,25821010,26549146,27055914,27268444,27455555,27474652,27577233,27879599,27898746,27981034,28155395,28456281,29013946,29553995,30062170,30194287,30201096,30218703,30319036,30356331,30951155,30985212,31251052,31649195,31719571,32141096,32417871,32873407,32946666,33388282,33786474,33876525,33976233,34098383,34337103,34712266,35231644,35464794,35486122,35568411,36074604,36134960,36146362,36158733,36524751,36991594,37141386,37162204,37979034,38092714,38669884,38792794,38954920,39740659,40410586,40651830,40670579,41249096,41288811,41383955,41695791,41831403,42083482,42434805,42644571,42689914,43361952,43402799,43658827,43785274,43824285,43856431,44644360,44673711,44843555,44929324,45263792,45630202,45753711,46405233,46745904,46914995,46962010,46963592,48782196,49035067,49100524,49589903,49660746,50069851,50071324,50224905,50330920,50360195,50517625,50628604,50694460,50921766,50993085,51130671,51398511,51637660,51735755,52351612,52589142,52602603,52834041,53404251,53573232,53679274,53796395,53812266,53930506,54031882,54392624,54482555,55244325,55244602,55804011,55853795,56297994,56354412,56622285,56772370,57133851,57214906,57397305,57797871,58023004,58591955,58846799,58927280,59124111,59209891,59275595,59747452,60119260,60194239,60269886,60386843,60397104,60407193,60432234,60580203,60621150,60641795,60833352,61035091,61136147,61191702,61223792,61515731,61965192,62082906,62207314,63433786,63775306,64536603,64555674,64662560,64682683,65086042,65379066,66195484,66293190,66539099,66555514,67024554,67726444,67817103,67946742,68075183,68126844,68330125,68437521,68621768,68876766,69242947,69418684,69486995,69563026,69647631,69710841,70147051,70310346,70485307,70561131,70712736,70966252,71130714,71196739,71733903,71842187,71913325,72143112,72352245,72384603,72514671,72745380,72770154,73160431,73444907,73976956,74098156,74224595,74359771,74462811,74509545,75110991,75555802,75581503,75717005,76405551,76862506,77043580,77175728,77199489,77543651,77595072,77940634,78126322,78135226,78213903,78787605,78821722,78920860,78944555,78987471,79043519,79467199,79476848,79551828,79871452,80146203,80814364,80961995,80990291,81161001,81735580,81996150,82454447,82494682,82976195,83226651,83354703,83384394,83633194,84040112,84693322,84733594,84955219,85144911,85372636,85656755,85679176,85991770,86133625,86295990,86489611,86515531,86795884,86822694,87185103,87294456,87310282,87462560,87663395,87746962,87821403,88965231,88999355,89028079,89069514,89092203,89411454,89497199,89695529,90860406,90921899,91107580,91626603,91666955,92049056,92280405,92452296,92838319,92980060,93333009,93681832,93940211,94545126,94705032,94733466,94993355,95679587,96164331,96270682,96321395,96389073,96469906,96767899,96963272,97154394,97173551,97419291,97589779,97795311,97988483,98082696,98192776,98206263,98310755,98395380,98432432,98973155,99007427,99571434,99836431,...,906058419796337737026885850102209760675042819356657098688097319716325653742674698793617687447906480145011792284858062505204560493988817252388248736194165250853332154147334895567781222905969237876679981322524510829690600442077244983095200807712925442969028166824103661840707629471916893649798754661147370485028336996995829369676905008640733759856529849989324103903735813492780038573597425277340899019631355872054745014051588395471916202746152788482225301082811029980075218192832305615350366928801527821676589171445946247399284038993272788829576732123493554142344903956084349339126609175495023969975849834369530665307932223158516047309915492703016053198474977009334559255878534938334072217863252945192135039428982378679430478793814964347327723166710579775915608308482163841081895636311676414521934332267220452054243166533266516170659443811213754480123112873565918945144054449528684974637558403440128385012745212999232529196365475196985813260909906029489422840004219720844828404831175710011079199631977827200240708921780897781630141262383390313478697509632556684979883881419624008475079166139301338142258808870302944492542977941750791602256694746049474866590578681249235931482460061399583841313024906061678310898583978168267335558934015316810483926642400031323259244216131502223423152819595362680464338596137949819188426710856663980580426328410137307580608011651231481814212641902400498612620948163147460796962998197910059836304213737499014097604787651161119689476642083902793119743452983251354898090612316135059002423284522947741671308872135370040639926852152528275573534151253624882367075610266827842230478763266930036309826013547442248388199168469514484782198052492127299274332720593175643925049276714730855780412207123696532713749831038713152533349992531901651275291253249807924662787632333637777058489984458271532481507275891783646721040568226586302755917636178086130204978825667363765727948726111908264881725831164877594783509840756532358221004590059238741019998635195318903716400171584300367266603508554138793075855755424629091190901547528287816292299680737368561444499865260664095013317592242608126757000671998455149127583438930925652281105236039345506706411991462765656137340200562319553844241359457696734028798110834074267029392826190211787332865084749286088014714338602094797085994124677645570984286686922957180610153127612199548797934835365068140305810138014247149287119133651955785731108567106350399165061568064885608261905043158331523008591793718152444341499187284603668986499670693396627312298429355226042506010380606182664744064533872856438254484583748408055171185354871746895177668348969189467366794086363954542695123098574964399983491194303139018422605756672542560468399170225926553305590757556481968983406050788505993868863185330207377550322262725021416299751937560518511073340516389900931880845449752018977103962943764827463566054556356996890008208773088527210270287519797409211337438768018779551379177815520763653346622670509724921478456635838469400368523769414513470664781159937007092316268702544046259602054673677463215804159647095205464424617563314757966348582237622139277511044871410249933707688908220737865361001389138952778201467611109524840633109561008146183885540866132526868587771378576821681361374948574722353664163304066732843082019292384529998977609012658051000101750123709811621853961104818160836833785765735048888958307507831326300426721768367735151024526269279467838809061020382999899839036003175042168902612742128750258938339323769455749879811577151415467225263917231355002406790797065522675698927715653362337473133487701673377717070586029439866502247696413379265781954909214390528707167828810754473405668418101840834767854926609992032777331834121293061207333046274606743707810569832116458676773790790482678357370828399855474590258948150668905515265707}
23806 367372657456567481631216717998786892587418712225109268021546794506573782858164: {119005,142806,404413,1237028,1258909,1401073,1473926,1758758,2043446,2093432,2355111,2757668,2896646,3242653,3496983,3896804,4088509,4163075,4229233,4650973,4995690,5328736,5603348,5632513,5792804,5947250,5994828,6013958,6052093,6331453,7136700,7612480,7874708,8140273,8417473,8551526,8564040,8931128,9109213,9134976,9634545,9956246,10047519,10068728,10276848,10487293,10517126,10707428,10899313,11051655,11173633,11205752,11327319,11357366,11482359,11561454,11788432,11858173,12403604,12606471,13156628,13187355,13261986,13669475,14066512,14307613,14427158,14474103,14905671,14983873,15539126,15761499,15824826,16351268,16403370,16599553,16914068,17135809,17231075,17479526,17496928,18226148,18787988,19684044,19799809,20239286,20677290,21252733,21318999,21413048,21448959,21647473,21778909,22055776,22132663,22227755,22526228,22712804,23030223,23219953,24089679,24307503,24763028,24805112,24812748,24911773,25170973,25507604,25534475,25934648,26333809,26425959,26673306,26803958,26848753,26873691,26977309,27552548,27890006,27905751,28107015,28123459,28161158,29176479,29244326,29980816,30065255,30595046,30641370,30800509,31134326,31150671,31459475,31557373,31573688,31618090,31641863,32186113,32684128,32699768,33438193,33728418,33822086,33937009,34085555,34275579,34343315,34625606,34683073,35520399,35797309,36074552,36078306,36092959,36228758,36769644,36787239,37198328,37294646,37518973,37751370,37898795,37941708,38252509,38731515,39063815,39605818,39823719,40176370,40268128,40291604,40475108,40478486,40583871,40902666,41093143,41160733,41211978,41313616,41848119,41881309,41971551,43223828,43520919,43671409,43928888,44039555,44382913,44973853,45048632,45093255,45168700,45301644,45477158,45478554,45782804,46452755,46477818,46522886,46876578,47286392,47424548,47593546,47668993,48099472,48211644,48249853,48337355,48347366,48365809,48693650,48699668,48888719,49386758,49419999,49521848,50082423,50211313,50638712,50679711,51355393,51561370,51811009,52068399,52216099,52233206,52492273,52847466,53197191,53229183,53570818,54111906,54202440,54219543,54744433,55051748,55487391,55574726,55594388,55712079,55743306,55775204,55805450,55830758,56161655,56192893,56303809,56579740,56859428,56967793,56968551,57139071,57815936,58004826,58189191,58432380,58616413,58637606,58704490,59400086,59564948,59597809,60044047,60615879,60681409,60789373,60977745,61004948,61112833,61375655,61650493,61873644,62327872,62400193,62589155,62913650,63125223,63285755,63368075,63696326,63994813,64034871,64547075,65042928,65363713,65439515,65677911,66126863,66214328,66928093,66966540,67393986,67528762,67652593,67895688,67990780,68065009,68167933,68174228,68199926,68445303,68531348,69499393,69542242,69601309,70118856,70136804,70211293,70443015,70445388,71205668,71430976,71749688,72025693,72528755,73123009,73173294,73395158,73535098,73650786,73659100,73717873,74014333,74405348,74491119,74684315,74867846,74969279,75063992,75106986,75139216,75149075,75496380,75536219,75942906,76041690,76178468,76296571,76382649,76529740,76556509,76823366,77063828,77310806,77456490,77905213,78283958,78527418,78832148,78883713,79254806,79429309,80359848,80466433,80518911,80529472,80542924,80576312,80718399,80773604,80828200,80895759,81047823,81111136,81588936,81671846,81912758,81971603,82620256,82744355,82777208,82791133,82866903,83158909,84437053,84446991,84531618,84553286,84618493,84658055,84842863,84980509,85158555,85777210,85822359,85918679,86048804,86074232,86128378,86700758,86773355,87034506,87128413,87172088,87570673,87888758,87957359,88365706,88390920,88707815,88973809,89060893,89097503,89309606,89366072,89621178,90178890,90272509,90404829,90422804,90595656,90648351,90835792,90931725,91129309,91250028,91787553,91835688,92370326,92471195,92485213,92622695,92839046,92863508,92906359,92947788,93124359,93156253,93310971,93573313,93747128,94071409,94081508,94154173,94283648,94840952,95150679,95174006,95223553,95645204,95662959,96190816,96304475,96469660,96512804,96603613,96686228,96833511,96993840,97026872,97629063,98068599,98121409,98187926,98418758,98503691,98651075,99283748,99293226,99301309,99340646,99346060,99439785,99463546,99833271,99839315,...,1208077893061783649369181133469613014233390425808876131584129759621767538323566265058156916597208640193349056379810750006939413991985089669850998314925553667804442872196446527423708297207958983835573308430032681106254133922769659977460267743617233923958704222432138215787610172629222524866398339548196493980037782662661105826235873344854311679808706466652432138538314417990373384764796567036454532026175141162739660018735451193962554936994870384642967068110414706640100290923776407487133822571735370428902118895261261663199045385324363718439435642831324738856459871941445799118835478900660031959967799779159374220410576297544688063079887323604021404264633302679112745674504713251112096290484337260256180052571976504905907305058419952463103630888947439701220811077976218454775860848415568552695912443022960602738990888711022021560879258414951672640164150498087891926858739266038246632850077871253504513350326950665643372261820633595981084347879874705985897120005626294459771206441567613348105599509303769600320945229041197042173521683177853751304930012843408913306511841892832011300105554852401784189678411827070592656723970589001055469675592994732633155454104908332314575309946748532778455084033208082237747864778637557689780745245353755747311902189866708431012325621508669631230870426127150240619118128183933092251235614475551974107235104546849743440810682201641975752283522536533998150161264217529947729283997597213413115072284983332018796806383534881492919302189445203724159657937311001806530787483088180078669897712697263655561745162847160054186569136203371034098045535004833176489434147022437122973971684355906715079768018063256331184265557959352646376264069989503065699110294124234191900065702286307807707216276164928710284999774718284203377799990042535535033721670999743899550383509778183702744653312611028709975343034522378195628054090968781737007890181570781506939971767556485020970598301482544353175634441553170126378013121008709810961339453412318321359998180260425204955200228779067156355471344738851724101141007232838788254535396704383755056399574316491415259333153680885460017756789656810835676000895997940198836777918574567536374806981385794008941882655283687541516453600749759405125655145943595645371730814445432356039190434920282383110486779665714784019619118136126396114658832903527427979048915897276240813537503482932731730579780486757520407746850685662865716158844869274380974811422808467198886748757419847477682540057544442030678122391624203259121998916379471558648666227591195503083064572473634723341347174141576886325419378497141917672646111664544073561580473162329193570224465292252623155725448485272723593497464766619199977988259070852024563474342230056747291198893634568737740787676741975958644541401051341325158484247106943170067096350300028555066335916747358014764454021853201242507793933002691969471950591686436618088072741809329186677611697451369613693716693063212281783251690691706068505570420694351537795496894012966561971275514451292533824698359219351294219708213249342789755024936725395012802739564903284287738879529460273952566156751086343955131442983496185703348059828546999911610251877627650487148001852185270370935290148146033120844146081344194911847387821510035824783695171435762241815166598099629804885551072088977124109359056512706665303478683544068000135666831613082162471948139757547782445047687646731851944410010441768400568962357823646868032701692372623785078748027177333199785381337566722891870150322838333678584452431692607666506415436201887289633685222975140003209054396087363567598570287537816449964177983602231170289427448039253155336330261884505687709273212285854038276223771747672631207557890802454446357139902146656043703109112161724081609777395032808991610414093109488611569031721053976904476494437866473966120345264200891874020354276}
23807 368667717814989056683585801741953407349597716790960450282590115323225368347497: {190408,214209,1546285,1831753,1855542,2210889,2616790,2638137,3065169,3140148,3447085,4136502,4344969,4662644,4871005,5845206,6014569,6660920,6870397,7004185,7241005,7493535,7581673,7814737,7993104,8405022,8689206,8810137,8920875,8992242,9020937,9292897,9515600,9805033,9843385,10314878,10705050,11163910,11235169,11418720,11714173,11743862,11812062,12179968,12308198,12569569,12585910,12660349,12827289,12846060,13384285,13396692,13702464,13842169,14007190,14509417,14735540,14934369,14940637,15103092,15309812,15415272,15504505,15775689,16061142,16357549,16445785,16808628,16935889,17036049,17159774,17342181,17359057,17583140,17682648,18498913,18605406,18736417,18970657,19151366,19298804,19734942,19874228,19892979,20208697,20439085,21015332,21099768,21142585,21200713,21348553,21425206,21640737,21704473,21871160,22389649,22692817,22782685,23308689,23479849,23484985,23737239,24526902,24554398,24605055,25371102,25474093,26219289,26233214,26245392,26766310,27339222,27569720,27626977,27682006,27881953,28157785,28181982,28391005,28400713,28425332,28598612,28612297,28628833,29526066,30358929,30706964,30953785,31006390,31015935,31565233,31686502,31884505,32119572,32410004,32418310,32548537,32948617,33065593,33083664,33103318,33789342,34069206,34440685,35234612,35564408,35831588,36149414,37144542,37207668,37219122,37476020,37938118,38261406,38437777,38796062,38901972,39417553,39467110,39942454,40009959,40205937,40298089,40583209,40674013,40855160,40874710,41328822,41375593,41475937,41534228,41835009,42087038,42241737,42373969,43331617,43406473,43866489,44308873,44775526,44954569,44971224,45018662,45093190,45455353,45483517,45634046,45700772,45706513,45892569,45962055,46497910,46701489,47360532,47427135,48104408,49026192,49049652,50109169,50335160,50364505,50588944,50592627,50593885,50733129,51088417,51139033,51294217,51642020,51938409,52845697,53098292,54029785,54111828,54117459,54343137,54536888,54911110,54949304,55154466,55759198,55797492,55941969,55962068,56310790,56460875,56627055,56912562,57228505,57937537,58027892,58269097,58606249,59107990,59280685,59365273,59408727,60124340,60264555,60388574,60391969,60402192,60437406,60638072,60712662,60717729,60874585,61141309,61353999,61520929,61817967,61902310,61931353,61970424,62502104,62780977,63076477,63298390,63439142,64282192,64835742,65352433,65470417,65680993,65746814,65893332,66544753,66776564,67065697,67572948,67753050,67952466,68196766,68215737,68217831,68674206,68814685,69349933,69424532,69492985,69546217,69716727,69719005,69784329,70314867,70463288,70504273,70724675,70929588,70972244,71074285,71136822,71366269,71390319,72149208,72269920,72292724,72317466,72430057,72521049,72644893,72742777,73040475,73049502,73451113,73983188,74080137,74282772,74324408,74456185,74817709,75314953,75958068,76185428,76256185,76275577,76625953,76722193,77339768,77342055,77585588,77909840,78195313,78349809,78510073,78637117,79012957,79050193,79271199,79481318,80294209,80356227,80452489,80821172,81167859,81270097,81303660,81341158,82028737,82077409,82461409,82498192,82577622,82767910,82891489,82985833,83362089,83391582,83614959,83662806,83708175,83746137,84112537,84166964,84869610,84898513,84988475,85217785,85249513,85289142,85317097,85379828,85664185,86397373,86723904,86805598,86962513,87007239,87317654,87570548,87648570,87671005,87712862,87956409,88056735,88451053,89007085,89100129,89288720,89342497,89347422,89687110,89858648,90013033,90527584,90929617,91260404,91507422,91722973,92073875,92363977,92810466,93006685,93309277,93491808,93681817,93829990,93924020,93927184,94131613,94370475,95223085,95544489,95662175,96329785,96480253,97281793,97564392,97625473,98070134,98201048,98259289,98540185,99015793,99179806,99182953,99321492,99928849,...,1812116839592675474053771700204419521350085638713314197376194639432651307485349397587235374895812960290023584569716125010409120987977634504776497472388330501706664308294669791135562445811938475753359962645049021659381200884154489966190401615425850885938056333648207323681415258943833787299597509322294740970056673993991658739353810017281467519713059699978648207807471626985560077147194850554681798039262711744109490028103176790943832405492305576964450602165622059960150436385664611230700733857603055643353178342891892494798568077986545577659153464246987108284689807912168698678253218350990047939951699668739061330615864446317032094619830985406032106396949954018669118511757069876668144435726505890384270078857964757358860957587629928694655446333421159551831216616964327682163791272623352829043868664534440904108486333066533032341318887622427508960246225747131837890288108899057369949275116806880256770025490425998465058392730950393971626521819812058978845680008439441689656809662351420022158399263955654400481417843561795563260282524766780626957395019265113369959767762839248016950158332278602676284517617740605888985085955883501583204513389492098949733181157362498471862964920122799167682626049812123356621797167956336534671117868030633620967853284800062646518488432263004446846305639190725360928677192275899638376853421713327961160852656820274615161216023302462963628425283804800997225241896326294921593925996395820119672608427474998028195209575302322239378953284167805586239486905966502709796181224632270118004846569045895483342617744270740081279853704305056551147068302507249764734151220533655684460957526533860072619652027094884496776398336939028969564396104984254598548665441186351287850098553429461711560824414247393065427499662077426305066699985063803302550582506499615849325575264667275554116979968916543064963014551783567293442081136453172605511835272356172260409957651334727531455897452223816529763451662329755189567019681513064716442009180118477482039997270390637807432800343168600734533207017108277586151711510849258182381803095056575632584599361474737122888999730521328190026635184485216253514001343996910298255166877861851304562210472078691013412823982925531312274680401124639107688482718915393468057596221668148534058785652380423574665730169498572176029428677204189594171988249355291141968573373845914361220306255224399097595869670730136280611620276028494298574238267303911571462217134212700798330123136129771216523810086316663046017183587436304888682998374569207337972999341386793254624596858710452085012020761212365329488129067745712876508969167496816110342370709743493790355336697938378934733588172727909085390246197149928799966982388606278036845211513345085120936798340451853106611181515112963937966812101577011987737726370660414755100644525450042832599503875121037022146681032779801863761690899504037954207925887529654927132109112713993780016417546177054420540575039594818422674877536037559102758355631041527306693245341019449842956913271676938800737047538829026941329562319874014184632537405088092519204109347354926431608319294190410928849235126629515932697164475244278555022089742820499867415377816441475730722002778277905556402935222219049681266219122016292367771081732265053737175542757153643362722749897149444707328326608133465686164038584769059997955218025316102000203500247419623243707922209636321673667571531470097777916615015662652600853443536735470302049052538558935677618122040765999799678072006350084337805225484257500517876678647538911499759623154302830934450527834462710004813581594131045351397855431306724674946266975403346755434141172058879733004495392826758531563909818428781057414335657621508946811336836203681669535709853219984065554663668242586122414666092549213487415621139664232917353547581580965356714741656799710949180517896301337811030531414}
23808 369967313899619129364204278773758664744597066648148758066487039743998971002569: {166607,238010,285612,451991,808826,974447,1116767,1448567,1590647,2110991,2474056,2517818,2783313,2802146,2947852,3101687,3242927,3289991,3517516,3925185,4086892,4186864,4229591,4276487,4698191,4710222,5352887,5515336,5679647,5793292,5828305,5912807,6204753,6331991,6378527,6485306,6518087,6993966,7307567,7793608,8177018,8187191,8326150,8458466,8767809,9301946,9570191,9991380,10258991,10657472,11206696,11265026,11357327,11585608,11894500,11989656,12027916,12104186,12607533,12662906,12950807,13033809,13488363,13902191,14083007,14273400,14353991,14850047,15224960,15472317,15659687,15749416,15973847,16057575,16280546,16377191,16745865,16779887,16834946,17103052,17128080,17315807,17615793,17716991,17718093,17862256,18117527,18218426,18269952,18339767,18419425,18462297,18878865,19137265,19269090,19912492,20095038,20137456,20330927,20553696,20771207,20974586,21010785,21034252,21414856,21430127,21649367,21798626,21978925,22103310,22347266,22411504,22611647,22654638,22714732,22742567,22964718,23122908,23265527,23483087,23576864,23656991,23716346,24091713,24123505,24307991,24697727,24784247,24807208,24842785,25173191,25212942,25345847,25604591,25739661,26269165,26313256,26374710,26507927,26523972,26851127,27338950,27908109,27920327,28133024,28389191,28615226,28727049,28772087,28854316,28948206,29196767,29408807,29602413,29811342,29832287,29967746,30550367,30676847,31078252,31118857,31350191,31522998,31649652,31937687,32137809,32188991,32607191,32702536,32806740,33199106,33828136,34106087,34271618,34462150,34479191,34959052,34993856,35099591,35531665,35748265,35923991,36293927,36452296,36790353,36831597,37394929,37522367,37563191,37575976,38056653,38383705,38418647,39149087,39349821,39368088,39599618,39836567,40149465,40239887,40478572,40512505,40561967,41008833,41044127,41204591,41354580,41523009,42091357,42272973,42505466,42603191,42637998,42826096,42897918,43294946,43358327,43557818,44043265,44111552,44265326,44289099,44455510,44789485,44977991,45052456,45213887,45425608,46060446,46439906,46509585,46779167,46845025,47529753,47673407,47719777,47944727,48080641,48179358,48292991,48524807,48615006,48627465,49218527,49526056,49610224,49625496,49641191,49654977,49823546,50254247,50341946,50684013,51015208,51068950,51103809,51169991,51588167,51702047,51869296,51917785,52648247,52667618,52851918,53058313,53346612,53607916,53697506,53747382,53852087,53954618,54001991,54224121,54640333,54689341,55105096,55456847,55531127,55716813,55780012,55811502,55828683,56214030,56235191,56246918,56322316,56752127,56907177,57120407,57125965,57340991,57392109,57744647,57777577,57891191,58194093,58352958,58403087,58488652,58621991,58658447,58767767,59200665,59913681,59929367,59961632,60130510,60254591,60398927,60795191,61190092,61282740,61312065,61601018,61655377,61993233,62268652,62301342,62406191,62441807,62761991,62918950,63081527,63114746,63130557,63147376,63236180,63283726,63294191,63506567,64000991,64372226,64552525,65033857,65368256,65370047,65399536,65404991,65614487,66102191,66372865,66876386,66934607,66969191,67163289,67456836,67527993,67639785,67644172,67659191,67672297,67693607,67874018,68171110,68174591,68208887,68451069,68551158,68686630,69251212,69366146,69746865,69952585,70218191,70420967,70522247,71040798,71262767,71594618,71731991,71865767,72066191,72149104,72156612,72185918,72457516,72534865,72865007,73262687,73539288,73574478,73725191,74251847,74396656,74416007,74589292,74710991,75037946,75155425,75396767,75502740,75689591,75797590,75883416,75981767,76505018,76789967,77336687,77463030,77464991,77913047,77944991,78127630,78149929,78391367,78626317,78709247,79057991,79211636,79342607,79647438,80004191,80129807,80352740,80536256,80583208,80662247,80787191,80950216,80956972,80974367,81167742,81223487,81805332,82186286,82321466,82366665,82423956,82522967,82627232,82731699,82830287,83470705,83638797,83696238,83762618,83943102,84422833,84445727,84466185,84475991,85260047,85368843,85709927,85925917,86447656,86780665,86989607,87041838,87166991,87342818,87609191,87624817,87857776,88079110,88312967,88600057,88661985,88715305,88765826,89099207,89270077,89947706,90097264,90109727,90186510,90224591,90337400,90365905,90582861,90603288,90656109,90954316,90957108,91068993,91224191,91565608,91615321,92101367,92478985,92494991,92775191,92853465,92905510,92955636,93045772,93610991,93753156,94191767,94329527,94572784,94741607,94849096,94851191,94947585,95097287,95158713,95187092,95231785,95337986,95506007,96048167,96198944,96371927,96423288,96499706,96674710,96694732,96731618,96981985,97253613,97387300,97399336,97777438,98620221,98710967,98763407,98773516,98839998,99043696,99155687,99494207,99883127,99934847,...,2718175259389013211080657550306629282025128458069971296064291959148976961228024096380853062343719440435035376854574187515613681481966451757164746208582495752559996462442004686703343668717907713630039943967573532489071801326231734949285602423138776328907084500472310985522122888415750680949396263983442111455085010990987488109030715025922201279569589549967972311711207440478340115720792275832022697058894067616164235042154765186415748608238458365446675903248433089940225654578496916846051100786404583465029767514337838742197852116979818366488730196370480662427034711868253048017379827526485071909927549503108591995923796669475548141929746478109048159595424931028003677767635604815002216653589758835576405118286947136038291436381444893041983169500131739327746824925446491523245686908935029243565802996801661356162729499599799548511978331433641263440369338620697756835432163348586054923912675210320385155038235638997697587589096425590957439782729718088468268520012659162534485214493527130033237598895933481600722126765342693344890423787150170940436092528897670054939651644258872025425237498417904014426776426610908833477628933825252374806770084238148424599771736043747707794447380184198751523939074718185034932695751934504802006676802045950431451779927200093969777732648394506670269458458786088041393015788413849457565280132569991941741278985230411922741824034953694445442637925707201495837862844489442382390888994593730179508912641212497042292814362953483359068429926251708379359230358949754064694271836948405177007269853568843225013926616406110121919780556457584826720602453760874647101226830800483526691436289800790108929478040642326745164597505408543454346594157476381897822998161779526931775147830144192567341236621371089598141249493116139457600049977595704953825873759749423773988362897000913331175469953374814597444521827675350940163121704679758908267752908534258390614936477002091297183846178335724794645177493494632784350529522269597074663013770177716223059995905585956711149200514752901101799810525662416379227567266273887273572704642584863448876899042212105684333499595781992285039952776727824380271002015995365447382750316792776956843315708118036520119235974388296968412020601686958661532724078373090202086394332502222801088178478570635361998595254247858264044143015806284391257982374032936712952860060768871541830459382836598646393804506095204420917430414042741447861357400955867357193325701319051197495184704194656824785715129474994569025775381154457333024497561853811006959499012080189881936895288065678127518031141818547994232193601618569314763453751245224165513556064615240685533005046907568402100382259091863628085369295724893199950473582909417055267817270017627681405197510677779659916772272669445906950218152365517981606589555990622132650966788175064248899255812681555533220021549169702795642536349256056931311888831294482390698163669070990670024626319265581630810862559392227634012316304056338654137533446562290960039868011529174764435369907515408201105571308243540411994343479811021276948806107632138778806164021032389647412478941285616393273852689944273899045746712866417832533134614230749801123066724662213596083004167416858334604402833328574521899328683024438551656622598397580605763314135730465044084124845724167060992489912200198529246057877153589996932827037974153000305250371129434865561883314454482510501357297205146666874922523493978901280165305103205453073578807838403516427183061148999699517108009525126506707838226386250776815017971308367249639434731454246401675791751694065007220372391196568027096783146960087012419400463105020133151211758088319599506743089240137797345864727643171586121503486432263420217005254305522504303564779829976098331995502363879183621999138823820231123431709496349376030321372371448035072112485199566423770776844452006716545797121}
23809 371271461492919609020746304464106596275008027272073438349572693129182573825352: {357015,380816,428418,1213239,2164799,3092570,3663506,3684815,3711084,3776727,4203219,4396895,4421778,4825919,5108615,5233580,5276274,6130338,6280296,6819407,6894170,7065333,7108127,7241615,7678679,8104547,8273004,8689938,8960159,9325288,9670727,9727959,9742010,9805859,10137407,10386179,10490949,11690412,12029138,12265527,12489225,12522047,12687699,13092311,13277927,13321840,13740794,13780739,13952919,14008370,14482010,14868125,14987070,15034895,15163346,15629474,15986208,16358927,16698359,16810044,16897539,17378412,17620274,17841750,17984484,18041874,18156279,18585794,18737999,18994359,19031200,19401299,19610066,19686770,20611811,20629756,21202499,21378815,21410100,21706307,22327820,22470338,22820867,22837440,23024099,23428346,23481827,23487724,23624124,24359936,24420819,24616396,24890615,25139138,25171820,25252419,25320698,25476239,25654578,25692120,26292815,26768570,26793384,27230927,27327639,27404928,27684338,28014380,28393415,28403111,28614719,28903635,29018834,29435279,29471080,29599619,29868738,29881274,30142557,30206184,30619624,30830544,31009010,31461879,31551378,31895759,31996931,32122284,32697939,32715098,32878979,32891570,32951399,33068387,33154965,33520899,33564479,33617256,33871778,33981957,34072098,34319548,34447077,34684362,34718114,35166280,35365296,35574519,36067895,36550979,36997826,37210812,37472834,37819413,37941314,38302732,38597608,38847815,39077519,39420899,39469884,39562065,39747407,39748456,39785958,40417394,40878170,41008425,41479439,41958911,42030664,42199536,42285170,42401426,42697106,42850412,42922839,43281474,43335299,43382051,43408946,43422309,43698815,43742320,44638307,44717013,44779298,44951619,45385634,45459191,45565370,46355459,46512959,46617378,46959698,46969970,47284497,47474478,47936099,48216959,49053804,49108796,49210110,49798659,50078327,50598215,50742204,50834519,50948186,51298559,51407427,51658211,51693225,52438578,52466428,52490784,52850159,53128127,53532620,54678444,55139440,55253954,55364012,55763906,56315570,56363964,56782010,56801426,56850664,57098819,57197224,57224594,57257666,59052132,59219927,59358239,59399427,60437039,60717858,61413928,61907570,62012780,62031870,62449607,63130466,63373004,63758199,63769010,63956997,64239144,64346877,64820008,64836620,64942419,65097074,65336727,65357951,65475959,65897234,66131186,66167328,66206636,66397989,66683265,67009895,67578684,68138412,68881370,69090669,69659859,69725015,70158959,70402895,70469224,70497239,70510307,70723199,70831439,71128816,71372327,71663176,72269037,72298828,72748919,72922509,73110815,73172819,73191599,74132687,74289084,74415336,74438244,74735319,74824031,74952040,74955779,75512919,75641699,75876236,76487615,76522812,76603425,76728671,76875554,77428319,77592124,77803944,77835815,78516707,78643799,78835106,78934220,79001427,79045225,79277877,79815119,79884908,79977551,80019918,80119907,80411874,80464739,80546259,80596178,80621073,80931927,81166418,81191351,81276959,81348026,81710320,81749420,82657644,82751186,82951874,82992959,83068456,83670018,83717253,84119639,84174076,84321045,84370377,84483474,84555215,84585047,84747938,85224419,85256711,85324319,85640771,86564015,86663234,86812946,87529437,87732978,88139327,88308599,88458527,88562627,88617746,89551052,89909138,89942448,90037324,90186380,90195765,90202559,90571895,90611879,90910706,90967034,91268092,91401544,91413026,91730759,91785138,91924110,92401527,92995820,93236615,93402978,93452013,94139567,94378425,94590947,94672119,94721064,94854270,94925589,95432879,96208816,96340559,96558339,97290179,97606607,98052384,98099304,98723399,99014545,99135599,99503999,99853379,...,3624233679185350948107543400408839042700171277426628394752389278865302614970698795174470749791625920580047169139432250020818241975955269009552994944776661003413328616589339582271124891623876951506719925290098043318762401768308979932380803230851701771876112667296414647362830517887667574599195018644589481940113347987983317478707620034562935039426119399957296415614943253971120154294389701109363596078525423488218980056206353581887664810984611153928901204331244119920300872771329222461401467715206111286706356685783784989597136155973091155318306928493974216569379615824337397356506436701980095879903399337478122661231728892634064189239661970812064212793899908037338237023514139753336288871453011780768540157715929514717721915175259857389310892666842319103662433233928655364327582545246705658087737329068881808216972666133066064682637775244855017920492451494263675780576217798114739898550233613760513540050980851996930116785461900787943253043639624117957691360016878883379313619324702840044316798527911308800962835687123591126520565049533561253914790038530226739919535525678496033900316664557205352569035235481211777970171911767003166409026778984197899466362314724996943725929840245598335365252099624246713243594335912673069342235736061267241935706569600125293036976864526008893692611278381450721857354384551799276753706843426655922321705313640549230322432046604925927256850567609601994450483792652589843187851992791640239345216854949996056390419150604644478757906568335611172478973811933005419592362449264540236009693138091790966685235488541480162559707408610113102294136605014499529468302441067311368921915053067720145239304054189768993552796673878057939128792209968509197097330882372702575700197106858923423121648828494786130854999324154852610133399970127606605101165012999231698651150529334551108233959937833086129926029103567134586884162272906345211023670544712344520819915302669455062911794904447633059526903324659510379134039363026129432884018360236954964079994540781275614865600686337201469066414034216555172303423021698516364763606190113151265169198722949474245777999461042656380053270368970432507028002687993820596510333755723702609124420944157382026825647965851062624549360802249278215376965437830786936115192443336297068117571304760847149331460338997144352058857354408379188343976498710582283937146747691828722440612510448798195191739341460272561223240552056988597148476534607823142924434268425401596660246272259542433047620172633326092034367174872609777365996749138414675945998682773586509249193717420904170024041522424730658976258135491425753017938334993632220684741419486987580710673395876757869467176345455818170780492394299857599933964777212556073690423026690170241873596680903706213222363030225927875933624203154023975475452741320829510201289050900085665199007750242074044293362065559603727523381799008075908415851775059309854264218225427987560032835092354108841081150079189636845349755072075118205516711262083054613386490682038899685913826543353877601474095077658053882659124639748028369265074810176185038408218694709852863216638588380821857698470253259031865394328950488557110044179485640999734830755632882951461444005556555811112805870444438099362532438244032584735542163464530107474351085514307286725445499794298889414656653216266931372328077169538119995910436050632204000407000494839246487415844419272643347335143062940195555833230031325305201706887073470940604098105077117871355236244081531999599356144012700168675610450968515001035753357295077822999519246308605661868901055668925420009627163188262090702795710862613449349892533950806693510868282344117759466008990785653517063127819636857562114828671315243017893622673672407363339071419706439968131109327336485172244829332185098426974831242279328465834707095163161930713429483313599421898361035792602675622061062828}
23810 372580176431912022961722504392067926442332854037335348234495467143173191714145: {333214,476020,571224,642627,879601,903982,1021981,1590781,1617652,1948894,2233534,2897134,3181294,3290269,4221982,4276849,4638855,4948112,4979389,5035636,5400049,5495259,5566626,5604292,5895704,6203374,6379069,6485854,6541975,6579982,6632667,7035032,7354561,7850370,7910401,7914411,8159627,8173784,8373728,8459182,8552974,8880349,9195507,9396382,9420444,10259869,10341255,10705774,11030672,11359294,11586584,11632189,11656610,11825614,12409506,12588529,12663982,12757054,12970612,13034907,13036174,13948609,13987932,14084221,14219761,14613015,14615134,14896381,15587216,16354036,16374382,16652300,16916932,17049469,17317309,17451121,17535618,17718529,18043707,18603892,19140382,19982760,20517982,20611191,21012555,21314944,21723015,22413392,22480605,22530052,22714654,22745019,23171216,23444211,23528641,23789000,23979312,24055832,24208372,24310129,24829681,25215066,25325812,25787195,25901614,26067618,26430411,26510269,26762625,26792171,26976726,27062811,27804382,27878691,27909775,27922801,28166014,28546800,28707982,28817149,29359655,29415099,29530155,29700094,29834941,30449920,30770495,30944634,31319374,31464775,31498832,31947694,31982449,32115150,32561092,32754382,33491730,33559774,33669892,33705507,33772907,34109149,34206104,34256160,34631614,34779899,35017975,35142519,35231586,35433982,35436186,35724512,35968369,36235054,36436852,36539904,36679534,36707521,36776831,36830461,36838850,36924594,37566589,37708707,37757730,37981047,38274530,38481867,38538180,38544061,38787709,39274141,39824984,40152855,40190076,40274912,40661854,40967581,41088001,41107392,41526507,41542414,41949172,42021570,42068504,42646909,42829712,42860254,42899435,43298734,43481281,43528251,43597252,43837789,43957850,44194007,44206620,44667121,44694532,44803107,44821911,44823008,45223294,45257341,45309276,45429464,45485134,45929436,46245816,46315201,46513515,46531054,46783489,46966174,47153728,47313982,47327067,47432692,47878415,47949169,48183426,48247010,48529309,48615982,49072647,49107649,49223101,49337355,49338481,49395454,49568494,49614416,49684189,49685570,49744331,50047571,50346382,50425884,50691694,50807667,50946241,51108147,51209182,51479322,52026543,52077171,52538330,52626512,52749420,53015854,53047944,53563015,53702254,53737187,54677900,55462081,55496739,55816218,55840654,56018461,56209251,56266048,56462269,56717507,56778382,56794369,56911971,57230452,57454098,57544174,57708632,57896412,57896689,58393534,58664029,58773361,58817614,59204826,59622684,59664574,59678937,59754109,59935492,60626091,61100734,61317255,61353694,61385995,61590721,61660571,62156504,62237714,62447809,62700382,62705279,63045996,63087601,63299304,63427755,63512689,63602139,63618781,63830749,63875374,64045659,64275618,64377982,64574939,64922211,65113419,65214382,65405072,65411329,65583035,65613480,66247681,66398212,66915775,66975709,67168947,67656272,67700209,68078451,68212174,68215549,68282591,68348055,68543236,68924300,68958382,69205015,69918104,69926067,69987712,70199182,70360321,70439547,70454955,70461661,70562929,71063330,71211717,71496530,71772529,71847982,72587854,72684899,72904592,73369201,73580706,73663194,73815165,74357761,74554609,74789858,75044734,75045469,75126382,75151952,76113306,76422279,76767410,76797661,76837294,77515975,77952829,78298174,78335581,78657867,78699642,78717181,78736176,79199236,79216255,79673134,79976351,80043709,80137921,80298930,80479774,80701681,80957144,80982589,81025010,81045775,81123934,81262849,82017666,82088254,82377409,82409182,82709160,82758295,82880931,83046018,83645859,84182714,84302941,84473355,84484669,84545946,84847261,85010932,85173015,85202139,85206382,85275996,85652192,85748701,85795836,85836891,85886499,86589892,86716654,87115636,87794689,88086530,88223104,88234429,88322161,88409821,88530652,88578198,88911020,89578970,89955982,90104912,90147901,90234049,90373535,90427774,90663709,90851216,91076787,91262209,91687549,92120892,92359007,92861355,92879812,92922011,93019170,93047805,93370909,93558334,93690050,94354931,94367101,94695699,94845295,95059506,95346814,95439554,95653515,95679229,95889454,96161282,96358716,96585982,96990155,97049614,97133341,97230012,97254930,97645611,97933619,98437054,98667775,98845851,99052112,99196779,99220448,99250992,99282382,99309954,99582961,99647092,99772439,99816349,99856135,99971581,...,5436350518778026422161315100613258564050256916139942592128583918297953922456048192761706124687438880870070753709148375031227362963932903514329492417164991505119992924884009373406687337435815427260079887935147064978143602652463469898571204846277552657814169000944621971044245776831501361898792527966884222910170021981974976218061430051844402559139179099935944623422414880956680231441584551664045394117788135232328470084309530372831497216476916730893351806496866179880451309156993833692102201572809166930059535028675677484395704233959636732977460392740961324854069423736506096034759655052970143819855099006217183991847593338951096283859492956218096319190849862056007355535271209630004433307179517671152810236573894272076582872762889786083966339000263478655493649850892983046491373817870058487131605993603322712325458999199599097023956662867282526880738677241395513670864326697172109847825350420640770310076471277995395175178192851181914879565459436176936537040025318325068970428987054260066475197791866963201444253530685386689780847574300341880872185057795340109879303288517744050850474996835808028853552853221817666955257867650504749613540168476296849199543472087495415588894760368397503047878149436370069865391503869009604013353604091900862903559854400187939555465296789013340538916917572176082786031576827698915130560265139983883482557970460823845483648069907388890885275851414402991675725688978884764781777989187460359017825282424994084585628725906966718136859852503416758718460717899508129388543673896810354014539707137686450027853232812220243839561112915169653441204907521749294202453661600967053382872579601580217858956081284653490329195010817086908693188314952763795645996323559053863550295660288385134682473242742179196282498986232278915200099955191409907651747519498847547976725794001826662350939906749629194889043655350701880326243409359517816535505817068516781229872954004182594367692356671449589290354986989265568701059044539194149326027540355432446119991811171913422298401029505802203599621051324832758455134532547774547145409285169726897753798084424211368666999191563984570079905553455648760542004031990730894765500633585553913686631416236073040238471948776593936824041203373917323065448156746180404172788665004445602176356957141270723997190508495716528088286031612568782515964748065873425905720121537743083660918765673197292787609012190408841834860828085482895722714801911734714386651402638102394990369408389313649571430258949989138051550762308914666048995123707622013918998024160379763873790576131356255036062283637095988464387203237138629526907502490448331027112129230481371066010093815136804200764518183727256170738591449786399900947165818834110535634540035255362810395021355559319833544545338891813900436304731035963213179111981244265301933576350128497798511625363111066440043098339405591285072698512113862623777662588964781396327338141981340049252638531163261621725118784455268024632608112677308275066893124581920079736023058349528870739815030816402211142616487080823988686959622042553897612215264277557612328042064779294824957882571232786547705379888547798091493425732835665066269228461499602246133449324427192166008334833716669208805666657149043798657366048877103313245196795161211526628271460930088168249691448334121984979824400397058492115754307179993865654075948306000610500742258869731123766628908965021002714594410293333749845046987957802560330610206410906147157615676807032854366122297999399034216019050253013415676452772501553630035942616734499278869462908492803351583503388130014440744782393136054193566293920174024838800926210040266302423516176639199013486178480275594691729455286343172243006972864526840434010508611045008607129559659952196663991004727758367243998277647640462246863418992698752060642744742896070144224970399132847541553688904013433091594242}
23811 373893474608364901186776301003008173016858116491493775411548400250325429424094: {499821,595025,714030,761632,856836,1355973,2022065,2426478,2878469,2923341,3350301,4329598,4345701,4771941,5158741,6155653,6185140,6294545,6332973,7005365,7152061,7327012,7369630,7422168,7553454,8349939,8406438,8582053,8793790,8843556,9305061,9578101,9651838,9728781,9869973,10138261,10217230,10467160,10552548,11429041,11775555,12260676,12280301,12560592,12688773,12829461,13638814,13788340,13844501,13995229,14094573,14130666,14216254,14483230,15357358,15407909,16058661,16209094,16213265,16546008,16555841,17038941,17379876,17484915,17738421,17920318,18614259,18650576,18973853,18995973,19135581,19341454,19455918,19484020,19554261,19611718,19976273,20274814,20442545,20772358,20815375,20981898,21048853,21146165,21390641,21922701,22393421,23254865,23380824,24058276,24359413,24531054,24561573,24978450,25044094,25375398,25664021,26184622,26303427,26555854,26643680,27233221,27481588,27561478,27905838,28016740,28162565,28228049,28710573,28964020,29442941,29736250,29930341,29974140,30069790,30260465,30326692,30776973,31258948,31657265,31972416,32717854,32898253,33396718,33567313,33620088,33795078,34071981,34107029,34756824,34846861,35240548,35660141,35683500,35968968,36083748,36312558,36809941,37171588,37475998,37822599,37988718,38062400,38802598,38852421,39080821,39101427,39220132,39373540,39750781,40465089,40701365,41223622,41259512,41706573,42087365,42249021,42404998,42757630,42820200,43061973,43086653,43412614,43413821,44550141,44655640,44852629,44940676,44962181,45546065,45641734,45674880,46048198,46359373,46416951,46856692,46963654,46975448,46979061,47248248,47921541,48172725,48719872,48841638,49131573,49232792,49602509,49781230,50237595,50278276,50339661,50343640,50495053,50504838,50641396,50952478,51147701,51309156,51384240,51947421,52436465,52585630,52697501,52847379,53150973,53154279,53537140,53586768,54352581,54386941,54461854,54496565,54655278,54809856,55019301,55024901,55258275,55368676,55386891,55868165,56028760,56636595,56786830,56806222,57229438,57411795,57807270,58037668,58870558,58942160,59199238,59290865,59737476,59762548,60285114,60402221,60412368,60992781,61050613,61178341,61239248,61661088,61941869,62018020,62313621,62923758,63032355,63102756,63791518,63993862,64244568,64290381,64948101,65018789,65395878,65430196,65757958,65783140,65902798,65936775,66136774,66309930,67041798,67077053,67128958,67234512,67743556,67834941,67963914,68092541,68144196,68227701,68347375,68639096,68894154,69368724,69436228,69628229,69796581,70332560,70449261,70730592,70837501,70970973,71149038,71538065,72135790,72275139,72370515,72923973,73101958,73179013,73804081,73995652,74093181,74352741,74421624,74528355,74919365,74945668,75519573,75600661,75638826,75882628,76037541,76605464,76638941,76813773,77195216,77218983,77563313,77695630,78155038,78807495,78841798,78939768,79124130,79494814,79496912,79523781,79571916,79984309,80471533,80553381,80606861,80834788,81756340,82016850,82958878,82997765,83724327,83760981,83917822,84061328,84399072,84570340,84802852,84976753,85167573,85394212,85679045,85700824,85845678,86155375,86181147,86316261,86537533,86562948,86670598,86764102,86817892,86844618,87397630,87484640,87590301,88146769,88226421,88807239,89134181,89205133,89276614,89434026,89496861,89558596,89903238,90210181,90771268,90918382,90945053,91044701,91130740,91651101,92030541,92710918,93025918,93234756,93325121,93356571,93813853,93919396,93939940,94050573,94536229,94568994,94948956,95813061,95872198,96413427,96433918,96566973,97198253,97615021,97821573,98013329,98107608,98217592,98420220,98564053,98655821,98731741,98999045,99597318,...,8154525778167039633241972650919887846075385374209913888192875877446930883684072289142559187031158321305106130563722562546841044445899355271494238625747487257679989387326014060110031006153723140890119831902720597467215403978695204847856807269416328986721253501416932956566368665247252042848188791950326334365255032972962464327092145077766603838708768649903916935133622321435020347162376827496068091176682202848492705126464295559247245824715375096340027709745299269820676963735490750538153302359213750395089302543013516226593556350939455099466190589111441987281104135604759144052139482579455215729782648509325775987771390008426644425789239434327144478786274793084011033302906814445006649960769276506729215354860841408114874309144334679125949508500395217983240474776339474569737060726805087730697408990404984068488188498799398645535934994300923790321108015862093270506296490045758164771738025630961155465114706916993092762767289276772872319348189154265404805560037977487603455643480581390099712796687800444802166380296028080034671271361450512821308277586693010164818954932776616076275712495253712043280329279832726500432886801475757124420310252714445273799315208131243123383342140552596254571817224154555104798087255803514406020030406137851294355339781600281909333197945183520010808375376358264124179047365241548372695840397709975825223836955691235768225472104861083336327913777121604487513588533468327147172666983781190538526737923637491126878443088860450077205289778755125138077691076849262194082815510845215531021809560706529675041779849218330365759341669372754480161807361282623941303680492401450580074308869402370326788434121926980235493792516225630363039782472429145693468994485338580795325443490432577702023709864113268794423748479348418372800149932787114861477621279248271321965088691002739993526409860124443792333565483026052820489365114039276724803258725602775171844809431006273891551538535007174383935532480483898353051588566808791223989041310533148669179987716757870133447601544258703305399431576987249137682701798821661820718113927754590346630697126636317053000498787345976855119858330183473140813006047986096342148250950378330870529947124354109560357707923164890905236061805060875984598172235119270606259182997506668403264535435711906085995785762743574792132429047418853173773947122098810138858580182306614625491378148509795939181413518285613262752291242128224343584072202867602071579977103957153592485554112583970474357145388424983707077326143463371999073492685561433020878497036240569645810685864197034382554093425455643982696580804855707944290361253735672496540668193845722056599015140722705206301146777275590884256107887174679599851420748728251165803451810052883044215592532033338979750316818008337720850654457096553944819768667971866397952900364525192746697767438044666599660064647509108386927609047768170793935666493883447172094491007212972010073878957796744892432587678176682902036948912169015962412600339686872880119604034587524293306109722546224603316713924730621235983030439433063830846418322896416336418492063097168942237436823856849179821558069832821697137240138599253497599403842692249403369200173986640788249012502250575003813208499985723565697986049073315654969867795192741817289942407191395132252374537172501182977469736600595587738173631460769990798481113922459000915751113388304596685649943363447531504071891615440000624767570481936703840495915309616359220736423515210549281549183446999098551324028575379520123514679158752330445053913925101748918304194362739205027375255082195021661117173589704081290349440880261037258201389315060399453635274264958798520229267720413392037594182929514758364510459296790260651015762916567512910694339489928294995986507091637550865997416471460693370295128489048128090964117114344105216337455598699271312330533356020149637391363}
23812 375211371968981800500056086342254690819942396723170115257485310867283959708265: {261811,547147,666428,952040,1071045,1142448,1285254,1401427,1685611,1759202,1807964,2043962,3181562,3235304,3525787,3639717,3897788,4230307,4467068,5794268,5913811,6193387,6362588,6494397,6580538,6612211,7731425,8281027,8443964,8553698,9158765,9277710,9896224,9958778,10071272,10352467,10800098,10990518,11054445,11133252,11176507,11208584,11330181,11450611,11791408,12134611,12406748,12609657,12758138,12971708,13083950,13159964,13190685,13265334,14070064,14477757,14709122,15122827,15325845,15700740,15820802,15828822,16319254,16347568,16747456,16918364,17105948,17235425,17760698,17809147,18391014,18609427,18792764,18840888,19274347,20458221,20519738,20682510,20862811,21195999,21324381,21411548,21521611,21724845,21784627,22061344,22718588,23036037,23173168,23264378,23313220,23651228,24138811,24313641,24355025,24788611,24819012,25048027,25177058,25327964,25514108,25941224,26069814,26072348,26880477,26984467,27897218,27975864,28168442,28439522,29012181,29183877,29226030,29230268,29286811,29417577,29792762,30072845,30412221,31158537,31174432,31472847,32708072,32748764,33304600,33833864,34098938,34351985,34568227,34634618,34902242,35020925,35071236,35188507,35437058,35930467,36087414,36102073,36205025,36796581,37207784,37467675,37566141,37908365,38018611,38063097,38262907,38280764,39073685,39276933,39833781,39965520,41035964,41103517,41222382,41342217,41652811,41858757,42025110,42252211,42610987,42629888,43078693,43088347,43446030,44050685,44395147,44604375,44826784,44961210,45060104,45104685,45429308,45490038,45575587,45810811,46163107,46342432,46464485,46888422,47057282,47578000,47798587,47958624,48111664,48379267,48416744,48620258,48901061,49025165,49076781,49216925,49650427,49659362,50095077,50430132,50651624,50692617,51255667,51574390,51597811,51803228,52135236,52229281,52860822,53020538,53525250,53584342,53953452,54087067,54125622,54468837,54983611,55541611,55608764,55757382,55764307,55819550,55845602,56175845,56213997,56319787,56332028,56983077,57093600,57204811,57415964,57634298,57975427,58203897,58570865,58633147,58719310,58830198,58851811,59060310,59400188,59669882,60059209,60806827,60899840,61345747,61540990,61775587,61835433,61889268,62638748,62845147,62847845,62929550,62997664,63164611,63301745,63607497,63895388,63964898,64136445,64230300,64541467,65118921,65122184,65508764,66143561,66921425,66983460,67029781,67119548,67339784,67411014,67545814,68187907,68218298,68412208,68462601,68512320,68906611,69072297,69210845,69263228,69559798,69621787,70035950,70285038,70445481,70463172,70867964,70872372,71449024,71936738,72447211,72470108,72547085,72646867,72873704,73079808,73262457,73359068,73415042,73553662,73660922,73677700,73849188,74671845,74703185,74988221,75133178,75411811,75417414,75515460,75555293,75757257,75962094,76315837,76385611,76428717,76549060,76579507,76869811,76963734,77062987,77076360,77088122,77522525,77575418,78024547,78548282,78878445,79548067,79649968,80020387,80305710,80380152,80396947,80549824,81323708,81692781,81787745,81935162,81982917,82176002,82214784,82228925,82816507,83000611,83053014,83084828,83184427,83276227,83377349,83459611,83898344,84043140,84137008,84644587,84679445,85180245,85209333,85277611,85293818,85547827,85659424,85720508,85727611,85798870,85844157,85940393,86597468,86710905,86795285,86800267,86962562,87056502,87194504,87244147,87675578,87915700,88305837,88388014,88413240,88798857,89088787,89334242,89389064,89436547,89606214,89643822,89646016,89696611,90300907,90427671,90446588,90514682,90618552,90858928,90970268,91243387,91816249,91858872,92491632,92494565,92630402,93027030,93062108,93269467,93566978,93682085,93686347,93932348,94184227,94307456,94385637,94597147,94627964,94654134,94853285,94865384,95172211,95417587,95687277,95756830,95898338,95990793,96366852,96494020,96887021,97058618,97231964,97756147,98093817,98145294,98215298,98232427,98446202,98636937,98674710,98676962,98784811,98790908,98854197,99136988,99205161,99228832,99368378,99371140,99411787,99464895,99488662,99956611,...,10872701037556052844322630201226517128100513832279885184257167836595907844912096385523412249374877761740141507418296750062454725927865807028658984834329983010239985849768018746813374674871630854520159775870294129956287205304926939797142409692555105315628338001889243942088491553663002723797585055933768445820340043963949952436122860103688805118278358199871889246844829761913360462883169103328090788235576270464656940168619060745662994432953833461786703612993732359760902618313987667384204403145618333860119070057351354968791408467919273465954920785481922649708138847473012192069519310105940287639710198012434367983695186677902192567718985912436192638381699724112014711070542419260008866614359035342305620473147788544153165745525779572167932678000526957310987299701785966092982747635740116974263211987206645424650917998399198194047913325734565053761477354482791027341728653394344219695650700841281540620152942555990790350356385702363829759130918872353873074080050636650137940857974108520132950395583733926402888507061370773379561695148600683761744370115590680219758606577035488101700949993671616057707105706443635333910515735301009499227080336952593698399086944174990831177789520736795006095756298872740139730783007738019208026707208183801725807119708800375879110930593578026681077833835144352165572063153655397830261120530279967766965115940921647690967296139814777781770551702828805983351451377957769529563555978374920718035650564849988169171257451813933436273719705006833517436921435799016258777087347793620708029079414275372900055706465624440487679122225830339306882409815043498588404907323201934106765745159203160435717912162569306980658390021634173817386376629905527591291992647118107727100591320576770269364946485484358392564997972464557830400199910382819815303495038997695095953451588003653324701879813499258389778087310701403760652486818719035633071011634137033562459745908008365188735384713342899178580709973978531137402118089078388298652055080710864892239983622343826844596802059011604407199242102649665516910269065095549094290818570339453795507596168848422737333998383127969140159811106911297521084008063981461789531001267171107827373262832472146080476943897553187873648082406747834646130896313492360808345577330008891204352713914282541447994381016991433056176572063225137565031929496131746851811440243075486167321837531346394585575218024380817683669721656170965791445429603823469428773302805276204789980738816778627299142860517899978276103101524617829332097990247415244027837996048320759527747581152262712510072124567274191976928774406474277259053815004980896662054224258460962742132020187630273608401529036367454512341477182899572799801894331637668221071269080070510725620790042711118639667089090677783627800872609462071926426358223962488530603867152700256995597023250726222132880086196678811182570145397024227725247555325177929562792654676283962680098505277062326523243450237568910536049265216225354616550133786249163840159472046116699057741479630061632804422285232974161647977373919244085107795224430528555115224656084129558589649915765142465573095410759777095596182986851465671330132538456922999204492266898648854384332016669667433338417611333314298087597314732097754206626490393590322423053256542921860176336499382896668243969959648800794116984231508614359987731308151896612001221001484517739462247533257817930042005429188820586667499690093975915605120661220412821812294315231353614065708732244595998798068432038100506026831352905545003107260071885233468998557738925816985606703167006776260028881489564786272108387132587840348049677601852420080532604847032353278398026972356960551189383458910572686344486013945729053680868021017222090017214259119319904393327982009455516734487996555295280924493726837985397504121285489485792140288449940798265695083107377808026866183188484}
23813 376533884515589970174117752963479715600245914773972076526264011945869454879087: {23813,833035,999642,1190050,1428060,1523264,1713672,1927881,2259955,2638803,2711946,2830891,3065943,3401827,4044130,4772343,4852956,4872235,5583835,5756938,5846682,6700602,7242835,7583587,7953235,8659196,8691402,8812363,9295243,9543882,9807511,9870807,10317482,10554955,10716211,11717131,12311306,12370280,12572743,12589090,12665946,12830547,13916565,14010730,14304122,14513083,14654024,14739260,14844336,14938167,15106908,15409207,15508435,15848587,15930211,16200147,16214635,16361683,16449955,16485777,16699878,16812876,17164106,17363443,17587580,17687112,18209347,18503587,18610122,19137207,19156202,19303676,19457562,19625925,19739946,19898001,20213803,20276522,20434460,20934320,21105096,21147955,21206071,21353947,21382435,21392443,21655447,22063683,22698571,22858082,23485783,23490955,23551110,23731203,23743233,23907187,24478881,24521352,24560602,25121184,25377546,25480531,25658922,25666183,26641047,26764435,27277628,27576680,27586521,27689002,27990458,28189146,28230427,28261332,28398235,28432508,28619563,28966460,29141525,29445427,29564035,29604631,29605027,30174811,30714716,30779607,30815818,31023765,31659955,31892635,32117322,32418188,32426530,32556811,32590435,33092016,33111682,34077882,34109911,34759752,34796203,34896567,34969830,35476842,35840636,36180727,36537835,37228518,37301152,37765587,37947706,37991946,38271162,38682908,38733127,38911836,38968040,39104721,39108522,39223436,39427591,39952546,40308307,40549628,40885090,40935955,41544716,41630750,41845827,41963796,42097706,42143803,42252663,42292330,42364651,42659283,42781282,43090291,43839045,43845402,43892011,44320171,44689143,44786842,44965987,46509730,46513687,46761648,47850955,48116552,48155671,48718826,49062108,49123146,49956900,50088188,50121907,50750796,51101371,51148407,51294955,51307243,51328042,51541387,51666967,51951927,52353363,52369244,52395271,52606854,53111708,53137123,53155587,53287360,54131121,54466442,54963176,55029547,55122956,55811676,56033480,56114503,56325130,56456098,56786635,56981911,57421146,57928040,58621147,58885882,58897207,58922311,59472500,59860682,59948280,60139580,60447283,60520930,60653384,61536523,61553946,61833573,61947127,62460211,62517896,63037665,63314530,63764491,63944832,64754035,65169045,65435708,65487043,65796506,66631531,66793436,67082731,67134626,67240176,67441815,67590156,68098327,68143962,68214058,68235057,69119623,69475243,69510955,69513648,69693722,70145911,70332633,70415035,70481096,70585923,71320282,71367000,71384443,71769955,71937936,72167496,72625116,72930387,73204027,73411051,73469731,73619882,74250235,74343176,74489043,74951996,74968471,75645198,75769507,75977436,76124800,76295191,76840387,77361585,77441443,77569867,77605196,77704842,78001291,78161642,78202854,78215431,78298435,78440264,78747080,79033051,79291233,79501562,79530807,79869235,80287875,80376513,80473003,80613667,80930178,81188433,81402730,81885955,82287907,82447244,82519024,82912507,83007211,83413146,83636073,83729325,83768403,83899435,84174730,84498042,84538903,84809996,85338763,85515260,85640400,85655287,86123946,86173306,86451447,86579035,86825228,86827642,87949831,88078965,88245297,88577623,88584955,88590465,89100282,89141707,89311280,89504823,89705258,89881352,89924362,90587635,90735943,91092130,91283468,91349760,91645003,91698835,91746331,92096396,92097125,92311485,92718746,92833902,93333043,93634711,93705571,93713384,93927308,93950896,93958122,94394325,94496496,95686325,95712091,95843082,95947347,96345450,97439744,97683276,98021611,98263146,98284267,98465584,98935003,99040891,99205018,99562460,99954187,...,16309051556334079266483945301839775692150770748419827776385751754893861767368144578285118374062316642610212261127445125093682088891798710542988477251494974515359978774652028120220062012307446281780239663805441194934430807957390409695713614538832657973442507002833865913132737330494504085696377583900652668730510065945924928654184290155533207677417537299807833870267244642870040694324753654992136182353364405696985410252928591118494491649430750192680055419490598539641353927470981501076306604718427500790178605086027032453187112701878910198932381178222883974562208271209518288104278965158910431459565297018651551975542780016853288851578478868654288957572549586168022066605813628890013299921538553013458430709721682816229748618288669358251899017000790435966480949552678949139474121453610175461394817980809968136976376997598797291071869988601847580642216031724186541012592980091516329543476051261922310930229413833986185525534578553545744638696378308530809611120075954975206911286961162780199425593375600889604332760592056160069342542722901025642616555173386020329637909865553232152551424990507424086560658559665453000865773602951514248840620505428890547598630416262486246766684281105192509143634448309110209596174511607028812040060812275702588710679563200563818666395890367040021616750752716528248358094730483096745391680795419951650447673911382471536450944209722166672655827554243208975027177066936654294345333967562381077053475847274982253756886177720900154410579557510250276155382153698524388165631021690431062043619121413059350083559698436660731518683338745508960323614722565247882607360984802901160148617738804740653576868243853960470987585032451260726079564944858291386937988970677161590650886980865155404047419728226537588847496958696836745600299865574229722955242558496542643930177382005479987052819720248887584667130966052105640978730228078553449606517451205550343689618862012547783103077070014348767871064960967796706103177133617582447978082621066297338359975433515740266895203088517406610798863153974498275365403597643323641436227855509180693261394253272634106000997574691953710239716660366946281626012095972192684296501900756661741059894248708219120715415846329781810472123610121751969196344470238541212518365995013336806529070871423812171991571525487149584264858094837706347547894244197620277717160364613229250982756297019591878362827036571226525504582484256448687168144405735204143159954207914307184971108225167940948714290776849967414154652286926743998146985371122866041756994072481139291621371728394068765108186850911287965393161609711415888580722507471344993081336387691444113198030281445410412602293554551181768512215774349359199702841497456502331606903620105766088431185064066677959500633636016675441701308914193107889639537335943732795905800729050385493395534876089333199320129295018216773855218095536341587871332987766894344188982014425944020147757915593489784865175356353365804073897824338031924825200679373745760239208069175048586612219445092449206633427849461242471966060878866127661692836645792832672836984126194337884474873647713698359643116139665643394274480277198506995198807685384498806738400347973281576498025004501150007626416999971447131395972098146631309939735590385483634579884814382790264504749074345002365954939473201191175476347262921539981596962227844918001831502226776609193371299886726895063008143783230880001249535140963873407680991830619232718441472847030421098563098366893998197102648057150759040247029358317504660890107827850203497836608388725478410054750510164390043322234347179408162580698881760522074516402778630120798907270548529917597040458535440826784075188365859029516729020918593580521302031525833135025821388678979856589991973014183275101731994832942921386740590256978096256181928234228688210432674911197398542624661066712040299274782726}
23814 377861028305329661339111689367588540490248951349211549884008975523550879775316: {309413,523622,974693,1094294,1117049,1259333,1332856,1448933,1499463,1591049,1685753,1733093,1785075,1904080,2142090,2284896,2570508,2802854,3008249,3243749,3371222,3518404,3573113,3615928,4067919,4087924,4277573,4511993,4980233,5494373,5914313,6054149,6066195,6363124,6470608,6519749,6659273,7051574,7279434,7448549,7795576,8460614,8605049,8635407,8770023,8934136,8974073,9296549,10050903,10353353,10674149,10823995,11360249,11588536,11725433,11827622,12135653,12181193,12386774,12725176,12822271,12988794,13037103,13090313,13161076,13224422,13634249,14222213,14312549,14315823,14853893,14989049,15462850,15476223,15798473,16562054,16784249,16887928,16918373,17107396,17141753,17320313,17454149,17543333,17810693,18122249,18317530,18344549,18424075,18466959,18555420,18655433,18877253,18883635,18998919,19585733,19792448,19917556,20115749,20142544,20704934,20776649,21016095,21435749,21456183,21600196,21786533,21981036,21984475,22108890,22266504,22353014,22417168,22660362,22748549,22901222,23489273,23582816,24129595,24184313,24269222,24704249,24813496,24834053,24920549,25049817,25219314,25352549,25481993,25516276,25543075,25746159,25943416,26167900,26319928,26343113,26381370,26514953,26530668,26986853,27158213,27915183,28140128,28734303,28907273,28955514,29186343,29331833,29418244,29609919,30245654,30414783,30558533,30651690,30685049,30811493,30979973,31401480,31641604,31657644,31862393,32071973,32365049,32638508,32695136,32866553,33494912,33699833,33836728,33949193,34097035,34115273,34211896,34287123,34364153,34470850,34861049,35326665,35521396,35540635,35618294,35974853,36208075,36714149,36782028,36840903,36919049,37218854,37585528,37681776,38022053,38062793,38066319,38393395,38429093,38488383,38548694,38551049,39159749,39281273,39362249,39645413,39847433,40089593,40522735,40916442,41039476,41055353,41175749,41365020,41533503,41725622,41985687,42101983,42283719,42295973,42391998,42648762,42654713,42823096,43043222,43092293,43449690,43489253,43568549,43569254,43845833,44122688,44162249,44800795,44872313,45344249,45437176,45854213,46072074,46206473,46223727,46346336,46401893,46528756,46626440,46636133,47302456,47609033,47803013,48092779,48175983,48267749,48277622,48353635,48538313,48627282,48639795,48710050,49029295,49347653,49424549,49577222,49638024,49667523,49693433,50096054,50115173,50354116,50383049,50655928,50687035,51028216,51031973,51116823,51716549,51830393,51882448,51930895,52095749,52139628,52144696,52454745,52663049,52776293,53071711,53215263,53760954,53867273,53968934,54654127,54703159,55026053,55546853,55794436,55842777,55951728,56214149,56336884,56472953,56878853,56879044,56921559,56987919,57136649,57247013,57406743,57792163,57980933,58024362,58367754,58452060,58460536,58573622,58662783,58675193,58784549,58835154,58857413,58893833,59439173,59585524,59765513,59928819,60145690,60824442,60956549,61136249,61327635,61670959,61674149,62317074,62348864,62446125,62610235,62945694,63146559,63170693,63438495,63524933,63631049,63913673,64171923,64582853,65050279,65416144,65461555,65497528,65738249,65768103,66017033,66330053,66389635,66609200,66850313,67180263,67196153,67667728,67816649,68197876,68228873,68635231,68703970,68903695,68913353,68947493,69136454,69269236,69526649,69764595,69804484,70041850,70142472,70374149,70377014,70441733,70543049,70874116,70947593,71384549,71552249,71860934,72174828,72204146,72410050,72454373,72487673,72986213,73078239,73284473,73383749,73593162,73684719,73944953,74273993,74340625,74372549,74415568,74438213,74935350,75132282,75174475,75517049,75816730,75939653,76037222,76101833,76126194,76393253,76425593,76525814,76561528,76877513,76909733,76992063,77295749,78032393,78147370,78169663,78415049,78553866,78646183,78910281,79271813,79461413,79587653,79667562,79931040,80059913,81248249,81341573,81652133,81699663,81794635,81999211,82071928,82207034,82444764,82548233,82640549,82684434,82855673,83039753,83305622,83315333,83468153,83491795,83498693,83651273,83717514,84050220,84444151,84471749,84487695,84504422,84684147,84774149,85015493,85221974,85259776,85286393,85376549,85766393,86035493,86131719,86157386,86176694,86631173,86892060,87105413,87607049,87986983,88101370,88135673,88328823,88428233,88622443,88790294,89127113,89127511,89208750,89214149,89292619,89445893,89653568,89791023,89922420,90120208,90209370,90310373,90781395,90858616,90980076,91025273,91151174,91281413,91451813,91621622,92326214,92330919,92684864,92720633,92928970,93689995,93776844,94114564,94221833,94359653,94971795,95156000,95455013,95597174,95618213,95917248,96160133,96223328,96752549,96758534,96833488,96895183,97006495,97154249,97207673,97240516,97607333,97766693,97802122,98050330,98084549,98153562,98433850,98536867,98559173,98694759,99187973,99266249,99300854,99318724,99604613,99656549,99993353,...,24463577334501118899725917952759663538226156122629741664578627632340792651052216867427677561093474963915318391691167687640523133337698065814482715877242461773039968161978042180330093018461169422670359495708161792401646211936085614543570421808248986960163760504250798869699105995741756128544566375850979003095765098918887392981276435233299811516126305949711750805400866964305061041487130482488204273530046608545478115379392886677741737474146125289020083129235897809462030891206472251614459907077641251185267907629040548679780669052818365298398571767334325961843312406814277432156418447738365647189347945527977327963314170025279933277367718302981433436358824379252033099908720443335019949882307829520187646064582524224344622927433004037377848525501185653949721424329018423709211182180415263192092226971214952205464565496398195936607804982902771370963324047586279811518889470137274494315214076892883466395344120750979278288301867830318616958044567462796214416680113932462810366930441744170299138390063401334406499140888084240104013814084351538463924832760079030494456864798329848228827137485761136129840987839498179501298660404427271373260930758143335821397945624393729370150026421657788763715451672463665314394261767410543218060091218413553883066019344800845727999593835550560032425126129074792372537142095724645118087521193129927475671510867073707304676416314583250008983741331364813462540765600404981441518000951343571615580213770912473380635329266581350231615869336265375414233073230547786582248446532535646593065428682119589025125339547654991097278025008118263440485422083847871823911041477204351740222926608207110980365302365780940706481377548676891089119347417287437080406983456015742385976330471297733106071129592339806383271245438045255118400449798361344584432863837744813965895266073008219980579229580373331377000696449078158461468095342117830174409776176808325515534428293018821674654615605021523151806597441451695059154765700426373671967123931599446007539963150273610400342804632776109916198294730961747413048105396464985462154341783263771039892091379908951159001496362037930565359574990550419422439018143958289026444752851134992611589841373062328681073123769494672715708185415182627953794516705357811818777548992520005209793606307135718257987357288230724376397287142256559521321841366296430416575740546919843876474134445529387817544240554856839788256873726384673030752216608602806214739931311871460777456662337751911423071436165274951121231978430390115997220478056684299062635491108721708937432057592591103147662280276366931948089742414567123832871083761207017489622004581537166169797045422168115618903440331826772652768323661524038799554262246184753497410355430158649132646777596100016939250950454025013162551963371289661834459306003915599193858701093575578240093302314133999798980193942527325160782827143304512381806999481650341516283473021638916030221636873390234677297763034530048706110846736507047887237801019060618640358812103762572879918329167638673809950141774191863707949091318299191492539254968689249009255476189291506826712310471570547539464674209498465091411720415797760492798211528076748210107600521959922364747037506751725011439625499957170697093958147219946964909603385578225451869827221574185396757123611517503548932409209801786763214520894382309972395443341767377002747253340164913790056949830090342594512215674846320001874302711445810111521487745928849077662209270545631647844647550340997295653972085726138560370544037476256991335161741775305246754912583088217615082125765246585064983351520769112243871048322640783111774604167945181198360905822794876395560687803161240176112782548788544275093531377890370781953047288749702538732083018469784884987959521274912652597992249414382080110885385467144384272892351343032315649012366796097813936991600068060448912174089}
23815 379192819450844082279332363943935529766173548141095341123679713745302486252667: {47626,785433,1166249,1641441,1666070,1999284,2380100,2856120,3046528,3163937,3213135,3427344,3855762,4020341,4204281,4398005,4519910,5056833,5109905,5277606,5423892,5661782,6131886,6803654,6821129,7817369,7953905,8088260,8106593,8962421,9544686,9673169,9705912,9744470,10139969,10388801,10577361,10919151,11134529,11167670,11238953,11513876,11693364,12525209,12664613,12690921,13095617,13401204,14485670,14776937,14945669,15167174,15906470,15931553,16451345,16941593,17318392,17382804,17624726,17741433,18210881,18580161,18590486,18826613,19087764,19406201,19483191,19615022,19741614,19836633,20634964,21109910,21384245,21432422,21711809,22700489,22826633,23029937,23194275,23434262,23909201,24622612,24740560,24843081,24896945,25145486,25178180,25331892,25592801,25661094,27000245,27237809,27476295,27833130,28021460,28608244,29026166,29308048,29478520,29607137,29607521,29688672,29876334,29935409,30177353,30213816,30818414,31016870,31057401,31646753,31697174,31854617,31860422,31895345,32400294,32429270,32501429,32709875,32723366,32887337,32899910,32971554,33076769,33163335,33399756,33529521,33625752,33990543,34328212,34351833,34726886,34799141,35175160,35374224,36403833,36418694,36772805,37007174,37220244,37470209,37828971,38274414,38312404,38607352,38915124,39251850,39479892,39552005,39572055,39757529,39796002,39824201,40311713,40427606,40553044,40798135,40868920,41389649,41868640,42210192,42295910,42412142,42707894,42759041,42764870,42784886,43310894,43433271,43895717,44127366,44323937,44401745,44649689,45368481,45397142,45626609,45716164,45977535,46086017,46971566,46981910,47033393,47102220,47462406,47486466,47814374,48159737,48957762,49042704,49055777,49121204,50242368,50755092,50961062,51105689,51152969,51299345,51317844,51332366,51706275,51778577,53141621,53282094,53427441,53528870,54055601,54555256,54759353,54970721,55153360,55173042,55378004,55828281,55980916,56119241,56378292,56460854,56522664,56796470,56865016,57113297,57239126,57310337,57823041,57844193,57932920,58160945,58283050,58890854,59128070,59209262,59210054,59234981,60349622,61060961,61374663,61429432,61559214,61631636,62047530,62465513,62588433,62942645,63319910,63587997,63785270,63973143,64234644,64564833,64836376,64853060,65113622,65174535,65180870,65353881,66184032,66223364,66637157,66991337,68155764,68219822,69108111,69519504,69592406,69743045,69793134,69939660,70421105,70953684,71098805,71226809,71681272,71812937,72361454,72416433,72940923,73065075,73075670,73191401,73210241,73816613,74365833,74457036,74481905,74602304,74842997,74974817,75144081,75531174,75895412,75983892,76542324,77365816,77466254,77648801,77823672,77936080,78007877,78209442,78217044,78446872,78536609,78855182,79349369,79501289,79835417,79905092,80479841,80616614,80641431,80953401,81099256,81770180,81871910,82899713,82919513,83089432,83261500,83691654,83927592,84195412,84287606,84505326,84546041,84584660,84729302,85247345,85318566,85465193,85562564,86180582,86552201,86586545,87036543,87255605,87551631,87678090,87690804,87784022,87860433,87957257,88252731,88331057,88480949,88585121,88592645,88640342,89378286,89545781,89573684,89931974,90218535,90655649,91236663,91652741,93019460,93027374,93475611,93523296,93642617,93713489,94163429,94418541,95457077,95701910,96137393,96233104,96311342,96513029,96808769,97315337,97437652,98124216,98246292,98581049,99913800,99962633,...,32618103112668158532967890603679551384301541496839655552771503509787723534736289156570236748124633285220424522254890250187364177783597421085976954502989949030719957549304056240440124024614892563560479327610882389868861615914780819391427229077665315946885014005667731826265474660989008171392755167801305337461020131891849857308368580311066415354835074599615667740534489285740081388649507309984272364706728811393970820505857182236988983298861500385360110838981197079282707854941963002152613209436855001580357210172054064906374225403757820397864762356445767949124416542419036576208557930317820862919130594037303103951085560033706577703156957737308577915145099172336044133211627257780026599843077106026916861419443365632459497236577338716503798034001580871932961899105357898278948242907220350922789635961619936273952753995197594582143739977203695161284432063448373082025185960183032659086952102523844621860458827667972371051069157107091489277392756617061619222240151909950413822573922325560398851186751201779208665521184112320138685085445802051285233110346772040659275819731106464305102849981014848173121317119330906001731547205903028497681241010857781095197260832524972493533368562210385018287268896618220419192349023214057624080121624551405177421359126401127637332791780734080043233501505433056496716189460966193490783361590839903300895347822764943072901888419444333345311655108486417950054354133873308588690667935124762154106951694549964507513772355441800308821159115020500552310764307397048776331262043380862124087238242826118700167119396873321463037366677491017920647229445130495765214721969605802320297235477609481307153736487707920941975170064902521452159129889716582773875977941354323181301773961730310808094839456453075177694993917393673491200599731148459445910485116993085287860354764010959974105639440497775169334261932104211281957460456157106899213034902411100687379237724025095566206154140028697535742129921935593412206354267235164895956165242132594676719950867031480533790406177034813221597726307948996550730807195286647282872455711018361386522788506545268212001995149383907420479433320733892563252024191944385368593003801513323482119788497416438241430831692659563620944247220243503938392688940477082425036731990026673613058141742847624343983143050974299168529716189675412695095788488395240555434320729226458501965512594039183756725654073142453051009164968512897374336288811470408286319908415828614369942216450335881897428581553699934828309304573853487996293970742245732083513988144962278583242743456788137530216373701822575930786323219422831777161445014942689986162672775382888226396060562890820825204587109102363537024431548698718399405682994913004663213807240211532176862370128133355919001267272033350883402617828386215779279074671887465591811601458100770986791069752178666398640258590036433547710436191072683175742665975533788688377964028851888040295515831186979569730350712706731608147795648676063849650401358747491520478416138350097173224438890184898413266855698922484943932121757732255323385673291585665345673968252388675768949747295427396719286232279331286788548960554397013990397615370768997613476800695946563152996050009002300015252833999942894262791944196293262619879471180770967269159769628765580529009498148690004731909878946402382350952694525843079963193924455689836003663004453553218386742599773453790126016287566461760002499070281927746815361983661238465436882945694060842197126196733787996394205296114301518080494058716635009321780215655700406995673216777450956820109501020328780086644468694358816325161397763521044149032805557260241597814541097059835194080917070881653568150376731718059033458041837187161042604063051666270051642777357959713179983946028366550203463989665885842773481180513956192512363856468457376420865349822394797085249322133424080598549565452}
23816 380529274120470001826557143543714651722683709408806205416101440916028929271029: {71439,618826,1022239,1047244,1733239,1949386,2188588,2234098,2300743,2499105,2518666,2665712,2897866,2975125,2998926,3008503,3182098,3291103,3371506,3466186,3570150,3808160,4284180,4559239,4569792,5141016,5261239,5605708,5783643,6016498,6487498,6520303,6742444,6779865,7036808,7146226,7217263,7231856,7916409,8135838,8175848,8492673,8555146,9023986,9197829,9960466,10110325,10205481,10988746,11828626,12108298,12132390,12182239,12726248,12728143,12941216,13039498,13318546,14087863,14103148,14223439,14317029,14358943,14392345,14558868,14616705,14897098,14900239,15153593,15575239,15591152,16751505,16921228,17210098,17270814,17455663,17540046,17868272,17948146,18123823,18593098,18923239,19587439,20101806,20706706,21348298,21647990,21728505,22720498,22750761,23012263,23177072,23450866,23534839,23655244,23665303,23859705,24271306,24362386,24773548,25354783,25450352,25644542,25793705,25977588,26074206,26180626,26322152,26437089,26448844,27268498,27885729,28186183,28444426,28625098,28631646,29422533,29612421,29707786,29978098,30778265,30925700,30952446,31472725,31596946,31664865,32148633,32367943,33124108,33568498,33775856,33781433,33836746,34214792,34283506,34367239,34640626,34908298,35026825,35086666,35151393,35621386,35760305,36101503,36244498,36635060,36689098,36717463,36840439,36848150,36933918,36963343,37110840,37310866,37454239,37718229,37754506,37767270,37997838,38066239,38491641,38676439,39163303,39171466,39406303,39584896,39835112,40231498,40285088,41099239,41219623,41409868,41553298,41749695,42032190,42871498,42910265,42912366,43200392,43539249,43573066,43612183,43962072,43968583,43968950,44205823,44217780,44533008,44706028,44814501,44834336,45320724,45387703,45497098,45802444,46227621,46445239,46525305,46978546,47165632,47545761,47613439,47735849,47790633,47890505,48259190,48310903,48368626,48538444,48600441,48643905,49085049,49236823,49349865,49352239,49408498,49457331,49626992,49668106,49756889,49841098,50099634,50438628,50691305,50705098,50963986,51032552,51074839,51086150,51492318,51886832,52090329,52100623,52335800,52639856,52686226,52762740,53029906,53061336,53346439,53750753,53973706,54022303,54316426,54628041,55510761,55830366,56034343,56256463,56280256,56589103,56731829,57145205,57411621,57468606,57814546,57911028,57913183,58372686,58663666,58790143,58836488,58877775,58899439,59219838,59444839,59694003,59879863,60422023,60491308,60641409,60829566,60962383,61117066,61303380,61370098,61401505,61622986,61959946,62721113,62802960,63283208,63315288,63443865,63618213,63637183,63724786,64061841,64143946,64147305,64177329,64378063,64591241,64730098,64966341,65277016,65390272,65733106,66191049,66266983,66891439,66989824,67399666,67673456,67695089,67823263,67898386,68095713,68194070,68230546,68299829,68423792,68574246,68641013,68728306,68941700,68954239,69222505,69722098,69976145,70381063,70457349,70472865,70482439,70583743,70653330,70961849,71042792,71081270,71193609,71229699,71236588,71592823,71721561,71894143,71949706,72416150,72494839,72703253,73428298,73436643,73490239,73564056,73681806,73838098,73985239,74437708,74576863,74871703,75171056,75363552,75557143,75947239,76044106,76125586,76132638,76433239,76441593,76786790,76858186,76917439,76976766,76998549,77039545,77097388,77102098,77496103,78319498,78562546,78724498,79290826,79311439,79694866,79923141,80162263,80179186,80293305,80819983,81045470,81066325,81287623,81832884,82078952,82110706,82351498,82679743,82730040,82759563,82779205,83067006,83451244,83507239,83971374,84203966,84328903,84510703,84567438,84591946,84691281,84783996,85194705,85297524,85309426,85646192,85858689,86086444,86184586,86669839,86899380,86978506,87025663,87137098,87138508,87424575,87645583,87654329,87691666,87910183,88245376,88324498,88336281,88349743,88437439,88692105,88813893,88815081,89601590,89744626,90262423,90524433,90688498,90874352,91646177,91708426,92144148,92338821,92382329,92412946,92447454,92692672,92730439,92803786,92945489,93057512,93071295,93252880,93272266,93484063,94378757,94397239,94604912,94869265,94891663,94979865,95218066,95606026,95677905,96185558,96351966,96465173,96521023,96535498,96555244,96707270,97076626,97244839,97254564,97279590,97420100,97670433,97771305,98058590,98438239,98695306,98849098,99154444,99276048,99335046,99386866,99693343,99797633,99881365,99926623,...,48927154669002237799451835905519327076452312245259483329157255264681585302104433734855355122186949927830636783382335375281046266675396131628965431754484923546079936323956084360660186036922338845340718991416323584803292423872171229087140843616497973920327521008501597739398211991483512257089132751701958006191530197837774785962552870466599623032252611899423501610801733928610122082974260964976408547060093217090956230758785773355483474948292250578040166258471795618924061782412944503228919814155282502370535815258081097359561338105636730596797143534668651923686624813628554864312836895476731294378695891055954655926628340050559866554735436605962866872717648758504066199817440886670039899764615659040375292129165048448689245854866008074755697051002371307899442848658036847418422364360830526384184453942429904410929130992796391873215609965805542741926648095172559623037778940274548988630428153785766932790688241501958556576603735660637233916089134925592428833360227864925620733860883488340598276780126802668812998281776168480208027628168703076927849665520158060988913729596659696457654274971522272259681975678996359002597320808854542746521861516286671642795891248787458740300052843315577527430903344927330628788523534821086436120182436827107766132038689601691455999187671101120064850252258149584745074284191449290236175042386259854951343021734147414609352832629166500017967482662729626925081531200809962883036001902687143231160427541824946761270658533162700463231738672530750828466146461095573164496893065071293186130857364239178050250679095309982194556050016236526880970844167695743647822082954408703480445853216414221960730604731561881412962755097353782178238694834574874160813966912031484771952660942595466212142259184679612766542490876090510236800899596722689168865727675489627931790532146016439961158459160746662754001392898156316922936190684235660348819552353616651031068856586037643349309231210043046303613194882903390118309531400852747343934247863198892015079926300547220800685609265552219832396589461923494826096210792929970924308683566527542079784182759817902318002992724075861130719149981100838844878036287916578052889505702269985223179682746124657362146247538989345431416370830365255907589033410715623637555097985040010419587212614271436515974714576461448752794574284513119042643682732592860833151481093839687752948268891058775635088481109713679576513747452769346061504433217205612429479862623742921554913324675503822846142872330549902242463956860780231994440956113368598125270982217443417874864115185182206295324560552733863896179484829134247665742167522414034979244009163074332339594090844336231237806880663653545305536647323048077599108524492369506994820710860317298265293555192200033878501900908050026325103926742579323668918612007831198387717402187151156480186604628267999597960387885054650321565654286609024763613998963300683032566946043277832060443273746780469354595526069060097412221693473014095774475602038121237280717624207525145759836658335277347619900283548383727415898182636598382985078509937378498018510952378583013653424620943141095078929348418996930182823440831595520985596423056153496420215201043919844729494075013503450022879250999914341394187916294439893929819206771156450903739654443148370793514247223035007097864818419603573526429041788764619944790886683534754005494506680329827580113899660180685189024431349692640003748605422891620223042975491857698155324418541091263295689295100681994591307944171452277120741088074952513982670323483550610493509825166176435230164251530493170129966703041538224487742096645281566223549208335890362396721811645589752791121375606322480352225565097577088550187062755780741563906094577499405077464166036939569769975919042549825305195984498828764160221770770934288768545784702686064631298024733592195627873983200136120897824348178}
23817 381870408538429003046974100967047468688329043222064426322714752776847411475575: {95252,928239,1309055,1570866,2332498,2735735,2924079,3282882,3332140,3351147,3777999,3998568,4346799,4448543,4498389,4760200,4773147,5057259,5199279,5355225,5712240,6093056,6157207,6327874,6426270,6854688,7007135,7153867,7711524,8040682,8408562,8428055,8796010,9024747,9039820,9580519,9731247,10113666,10219810,10555212,10719339,10847784,11135467,11323564,11431927,12203757,12263772,12832719,13282399,13535979,13607308,13642258,13847999,13998763,14940699,15411803,15634738,15907810,16176520,16213186,16483119,16703983,17628935,17742939,17924842,18162447,18198585,18828199,18978647,19089372,19346338,19411824,19488940,19559247,19977819,20279938,20777602,21151535,21154722,21396047,21838302,22269058,22335340,22345647,22399079,22477906,23027752,23031883,23386728,23812223,25050418,25329226,25381842,25670507,25815147,25906221,26191234,26310069,26802408,26922219,27889647,28235183,28940279,28971340,29553874,29569055,29891338,29937943,30152709,30334348,30966935,31060059,31649419,31812940,31863106,32022447,32358983,32471985,32504167,32902690,33061055,33883186,34080747,34636784,34765608,34855723,35176299,35249452,35482866,35602219,35669183,36406959,36421762,36543579,37160322,37180972,37653226,37800343,38175528,38466813,38657125,38812402,38966382,39090727,39111309,39230044,39270939,39483228,39673266,40902747,41269928,41405135,42219820,42666639,42768490,42864844,42937647,42947469,43423618,44561679,44653483,44967147,44973599,45400978,45502727,45653266,45793825,46059874,46388550,46428669,46521563,46868524,47395419,47818402,49059919,49245224,49264363,49481120,49686162,49793890,50290972,50352747,50356360,50663784,50755119,51160703,51185602,51322188,51425259,51481927,51762335,51960939,52362447,52629999,52710863,53432079,53533783,54000490,54366747,54475618,54952590,55033647,55111127,55272225,55372807,55400877,55584919,55666260,55882535,55966299,56042920,56631759,56650905,56996757,57117389,57118123,57216488,57253055,58052332,58293707,58616096,58757199,58957040,59214274,59215042,59377344,59752668,59870818,60347247,60354706,60427632,60673055,61636828,61957643,62033740,62114802,62162443,62329947,63048285,63293506,63394348,63709234,63720844,63790690,64307247,64368549,64715599,64800588,64858540,65002858,65359599,65419750,65446732,65774674,65799820,65943108,65953425,66153538,66326670,66573023,66799512,67059042,67094087,67251504,67981086,68245647,68361319,68656424,68703666,69379223,69453772,69487007,69598282,69645983,70350320,70467819,70748448,71232823,71296619,71819083,72388785,72552939,72807666,72837388,73545610,73822879,74014348,74112747,74440488,74502159,74761647,74940418,75149451,75614135,75657942,76057647,76445979,76548828,76624808,76629225,76658423,77214704,77238477,77830248,78503700,78959784,79029339,79046447,79104010,79144110,79515058,79544859,79592004,79648402,80004583,80623426,80855212,80960559,81106088,81425323,81474639,81596270,81737840,82779298,83737280,83745549,84420384,84591820,84824284,85415788,85518082,85529740,85569772,86177125,86202909,86433863,86621788,86721819,86866542,87559029,87791434,87995499,88119703,88254732,88647874,88803490,88829757,89045735,89227819,89299378,89543003,90233047,90736962,90751307,90794284,91244349,91253218,91432328,91675599,91955070,92055147,92172034,92402987,92434479,92592203,92939919,93047135,93348887,93776527,93943132,93963820,94066786,94204440,94924812,94972932,95465143,95587179,95628748,95728343,96215919,96319474,96371735,96816943,97095147,97640263,97915524,98085408,98111554,98242408,98589547,98599659,98756767,99224843,99538327,...,73390732003503356699177753858278990614678468367889224993735882897022377953156650602283032683280424891745955175073503062921569400013094197443448147631727385319119904485934126540990279055383508268011078487124485377204938635808256843630711265424746960880491281512752396609097317987225268385633699127552937009287295296756662178943829305699899434548378917849135252416202600892915183124461391447464612820590139825636434346138178660033225212422438375867060249387707693428386092673619416754843379721232923753555803722887121646039342007158455095895195715302002977885529937220442832296469255343215096941568043836583931983889942510075839799832103154908944300309076473137756099299726161330005059849646923488560562938193747572673033868782299012112133545576503556961849164272987055271127633546541245789576276680913644856616393696489194587809823414948708314112889972142758839434556668410411823482945642230678650399186032362252937834864905603490955850874133702388388643250040341797388431100791325232510897415170190204003219497422664252720312041442253054615391774498280237091483370594394989544686481412457283408389522963518494538503895981213281814119782792274430007464193836873181188110450079264973366291146355017390995943182785302231629654180273655240661649198058034402537183998781506651680097275378387224377117611426287173935354262563579389782427014532601221121914029248943749750026951223994094440387622296801214944324554002854030714846740641312737420141905987799744050694847608008796126242699219691643359746745339597606939779196286046358767075376018642964973291834075024354790321456266251543615471733124431613055220668779824621332941095907097342822119444132646030673267358042251862311241220950368047227157928991413893199318213388777019419149813736314135765355201349395084033753298591513234441897685798219024659941737688741119994131002089347234475384404286026353490523229328530424976546603284879056465023963846815064569455419792324355085177464297101279121015901371794798338022619889450820831201028413898328329748594884192885242239144316189394956386463025349791313119676274139726853477004489086113791696078724971651258267317054431874867079334258553404977834769524119186986043219371308484018147124556245547883861383550116073435456332646977560015629380818921407154773962071864692173129191861426769678563965524098889291249727221640759531629422403336588163452632721664570519364770621179154019092256649825808418644219793935614382332369987013255734269214308495824853363695935291170347991661434170052897187906473326165126812296172777773309442986840829100795844269227243701371498613251283621052468866013744611498509391136266504346856710320995480317958304970984572116398662786738554260492231066290475947397940332788300050817752851362075039487655890113868985503377918011746797581576103280726734720279906942401999396940581827581975482348481429913537145420998444951024548850419064916748090664910620170704031893289103590146118332540209521143661713403057181855921076436311287718639754987502916021429850425322575591123847273954897574477617764906067747027766428567874520480136931414711642618394022628495395274235161247393281478394634584230244630322801565879767094241112520255175034318876499871512091281874441659840894728810156734676355609481664722556190271370834552510646797227629405360289643562683146929917186330025302131008241760020494741370170849490271027783536647024538960005622908134337430334564463237786547232986627811636894943533942651022991886961916257178415681111632112428770974005485225325915740264737749264652845246377295739755194950054562307336731613144967922349335323812503835543595082717468384629186682063409483720528338347646365632825280594133671112345859141866249107616196249055409354654963878563824737957793976748243146240332656156401433152818677054029096946947037100388293441810974800204181346736522267}
23818 383216238985019389425896341511254336582537193323894303385780101144503896562289: {119065,142878,404617,689881,1237652,1686037,2044478,2094488,2356299,3102997,3466478,3498747,3526681,3898772,4165175,4377176,4468196,4512757,4601486,4924323,4998210,5037332,5331424,5795732,5915317,5950250,5997852,6017006,6055177,6334681,6364196,6582206,6613897,6743012,6932372,7140300,7616320,8421781,8568360,9118478,9139584,9390217,9491811,9639405,9804181,10282032,10492681,10522478,10767577,11179381,11211416,11299775,11453557,11567286,12032996,12061023,12137737,12612843,12974996,13040606,13194015,13484888,13559730,14073616,14154455,14292452,14315017,14434526,14463712,15170499,15261781,15329715,15832818,16205017,16271676,16351696,16608181,16985346,17009135,17110292,17546377,18047972,18347737,18395658,19677577,19920932,20149283,20207497,20220650,20410962,20463387,20868277,21527257,21658837,21977492,23452107,23493397,23657252,23861715,23884681,24216596,24264780,24319779,24361175,24364478,24795157,24924937,25184281,25452496,25456286,25882432,26078996,26637092,26734297,26887263,27919175,28175726,28206296,28446878,28634058,28717886,28784690,28784857,29019507,29117736,29233410,29421877,29794196,29800478,30307186,30419907,31150478,31166403,31182304,31574281,31732083,31951957,32454517,32757453,33403587,33503010,33705877,33716859,33842456,34420196,34541628,34701781,34911326,34950037,35080092,35736544,35896292,36111187,36214175,36247646,37186196,37575627,37784281,37846478,37917935,37993839,38072763,39174878,39286851,39369397,39766175,40203612,41413412,41423881,41784277,42696596,43089571,43219381,43295980,43457010,43576537,44061815,44330811,44837007,45234697,45440996,45501522,46024526,46354144,46476215,46901732,47069678,47310488,47330606,47695477,47719410,47794659,48542612,48724772,49037555,49354035,49433737,49547096,50064427,50468917,50709566,50824779,50900704,51289084,51384181,51587410,51612277,51726217,51955176,52148412,52181257,52361252,52644304,52774775,52861657,52874178,52897688,53224299,53581055,54214681,54536996,54632643,54999157,55740483,55771458,56372366,56479839,56888852,57221077,57250196,57263292,57551881,58218603,58449573,58585655,58845066,58868617,59224842,59415572,59509899,59523097,59956196,60074371,60283381,60608137,61363381,61556530,61851400,61900681,61904892,62649877,62863715,62945450,63193892,63329730,64152735,64297266,64735886,64876297,65135427,65820757,66160259,66248216,67046707,67136996,67551712,67562866,67673492,68101467,68429584,68479899,68567012,68734478,69089811,69281252,69540277,69582825,69816596,70053650,70173332,70252681,70302786,70455577,70961557,70967827,71242772,71520610,71727603,72068377,72203006,72488996,72565415,73067017,73270120,73378196,73434926,73680878,73696300,73867836,73926686,73959637,74221680,74453017,74529243,74621732,74690835,74908478,75436458,75509012,75532117,75534540,75574367,75995676,76019737,76132478,76335103,76408537,76778403,76983282,77046035,77352878,77375497,77542175,78143881,78326606,78342932,78812606,79169792,79242935,79651055,79670224,80003287,80462996,80515381,80570176,80703157,81000735,81073175,81713427,81730777,81808415,82198478,82249775,82428885,82439246,82819736,83026057,83106596,83301781,83398403,83499390,84064380,84670681,85303957,85394137,85742996,85820530,85824732,85962107,86400784,86817215,87078498,87146132,87182617,87224366,87924144,87937166,87937900,88411646,88435560,88821411,88822563,88942297,89066016,89412056,89551381,89629002,89668672,89806227,90532059,90641448,90775406,90994196,91046735,91101397,91527817,91604888,92290837,92455242,92517935,92890478,92964181,93050610,93172203,93957092,94331264,94379737,94940259,95091522,95226878,95284597,95448181,95471698,95563851,95581266,95686035,95781010,96099637,96518380,96621806,96737252,96911507,97076888,97200882,97228597,97287810,97504287,97867381,97966603,98105737,98129625,98170098,98473646,98662011,98699730,98704478,98816996,98914662,99230307,99253984,99336212,99490005,99513778,99678217,99682196,...,97854309338004475598903671811038654152904624490518966658314510529363170604208867469710710244373899855661273566764670750562092533350792263257930863508969847092159872647912168721320372073844677690681437982832647169606584847744342458174281687232995947840655042017003195478796423982967024514178265503403916012383060395675549571925105740933199246064505223798847003221603467857220244165948521929952817094120186434181912461517571546710966949896584501156080332516943591237848123564825889006457839628310565004741071630516162194719122676211273461193594287069337303847373249627257109728625673790953462588757391782111909311853256680101119733109470873211925733745435297517008132399634881773340079799529231318080750584258330096897378491709732016149511394102004742615798885697316073694836844728721661052768368907884859808821858261985592783746431219931611085483853296190345119246075557880549097977260856307571533865581376483003917113153207471321274467832178269851184857666720455729851241467721766976681196553560253605337625996563552336960416055256337406153855699331040316121977827459193319392915308549943044544519363951357992718005194641617709085493043723032573343285591782497574917480600105686631155054861806689854661257577047069642172872240364873654215532264077379203382911998375342202240129700504516299169490148568382898580472350084772519709902686043468294829218705665258333000035934965325459253850163062401619925766072003805374286462320855083649893522541317066325400926463477345061501656932292922191146328993786130142586372261714728478356100501358190619964389112100032473053761941688335391487295644165908817406960891706432828443921461209463123762825925510194707564356477389669149748321627933824062969543905321885190932424284518369359225533084981752181020473601799193445378337731455350979255863581064292032879922316918321493325508002785796312633845872381368471320697639104707233302062137713172075286698618462420086092607226389765806780236619062801705494687868495726397784030159852601094441601371218531104439664793178923846989652192421585859941848617367133055084159568365519635804636005985448151722261438299962201677689756072575833156105779011404539970446359365492249314724292495077978690862832741660730511815178066821431247275110195970080020839174425228542873031949429152922897505589148569026238085287365465185721666302962187679375505896537782117551270176962219427359153027494905538692123008866434411224858959725247485843109826649351007645692285744661099804484927913721560463988881912226737196250541964434886835749728230370364412590649121105467727792358969658268495331484335044828069958488018326148664679188181688672462475613761327307090611073294646096155198217048984739013989641421720634596530587110384400067757003801816100052650207853485158647337837224015662396775434804374302312960373209256535999195920775770109300643131308573218049527227997926601366065133892086555664120886547493560938709191052138120194824443386946028191548951204076242474561435248415050291519673316670554695239800567096767454831796365273196765970157019874756996037021904757166027306849241886282190157858696837993860365646881663191041971192846112306992840430402087839689458988150027006900045758501999828682788375832588879787859638413542312901807479308886296741587028494446070014195729636839207147052858083577529239889581773367069508010989013360659655160227799320361370378048862699385280007497210845783240446085950983715396310648837082182526591378590201363989182615888342904554241482176149905027965340646967101220987019650332352870460328503060986340259933406083076448975484193290563132447098416671780724793443623291179505582242751212644960704451130195154177100374125511561483127812189154998810154928332073879139539951838085099650610391968997657528320443541541868577537091569405372129262596049467184391255747966400272241795648696356}
23819 384566781796808745761882904298533028406625223970764888974873768363786515512281: {23819,190504,214317,1547065,1832677,1856478,2618110,3066717,3141732,3830029,4664996,4873465,4971901,5199717,5257369,5471470,5585245,5848158,6296665,6565764,6664280,6702294,6902229,7244665,7497315,7555998,7955245,7997136,8428765,8665465,8693598,8897086,8925375,8996778,9025509,9520400,9546294,9809989,9873309,10114518,10398558,10710450,10718917,11424480,11720089,11799277,12186112,12284437,12314414,12575917,12655748,12852540,13677717,13709376,14014270,14307734,15041245,15423048,15783717,15852589,15934237,16081364,16218745,16365817,16561417,16817124,16856110,17350929,17497117,17592020,17865565,18049494,18079640,18213949,19161038,19462494,19560909,19983001,20227332,20339595,20439620,21110424,21211429,21387865,21438678,21651789,21695568,22270934,22559965,22647128,22863854,23220901,23491717,23749227,23814229,23913229,24407514,24527544,24619417,24680509,24901165,25478019,25486969,25665438,26564798,26613661,27071958,27214616,27284516,27471865,27593487,27695998,27997526,28942717,29571565,29612149,29612509,29881398,30182437,30270745,30330975,30616443,30823606,31269476,31815620,32353040,32361709,32426372,32598745,32966238,33296365,33407966,33467509,34118557,34590637,35257870,35485878,35672197,35849684,36015097,36189901,36324894,36397170,36546717,37242745,37656398,37957294,38178744,38184429,38692676,38823648,38977880,39118494,39955638,40559876,41396677,41555204,42154489,42263589,42303070,42309444,42670317,42792094,42951087,43025245,43076829,43177035,43353709,43676604,43850115,44538116,44670680,44691294,44700717,44798158,44870365,44955812,45460779,45506569,46055504,46063766,46285477,46482745,46525501,46725717,46773456,47041357,47624446,48837421,50100836,50254515,50658452,50763684,50855989,51341014,51630294,51680101,51766765,51812442,52366989,52382468,52620138,52715317,53150617,53370745,53604816,53844438,54119975,54371469,54980029,55779294,55915669,56470366,56769717,56801245,57376261,57880558,57942680,57967189,58298629,58627165,58762317,58881757,58912141,59084029,59107748,59138110,59383309,59782676,59875886,60305418,60462649,60668696,60678265,60905965,61594789,61933870,62120118,62476117,63298838,63625880,63726212,64044894,64111355,64717966,64943970,65008334,65040877,65185515,65451565,65805380,66122110,67766372,68161494,68171245,68252283,69036789,69137149,69273568,69385081,69492889,69531216,69651901,69711446,70163797,70352598,70498904,70604517,70753069,70965732,70995909,71111065,71204438,71338366,71562745,71579115,71698957,71884789,72467269,72813918,72843524,73087158,73222669,74163997,74269465,74320644,74361944,74945245,74987509,75306452,75600686,76064349,76351056,76933626,77314250,77381115,77461129,77589529,77624804,77661949,77932764,78181454,78222618,78235549,78460088,78541878,78677209,78966456,78992365,79311267,79346532,79848949,80154277,80383237,81805494,82308889,82539856,82810270,83657187,83921245,84439640,84558549,84591865,84942277,85333278,85536980,85677061,85708765,85729688,85875294,85894938,86441161,86601565,86847236,87150829,87270745,87716665,88267599,88346029,88600117,88837263,89053465,89123358,89306966,89934294,89947198,90059101,90611245,90650149,90758989,90801956,91005454,91306532,91587650,91722745,92119748,92120375,92334795,92410789,92777100,92857338,93043126,93277165,93737048,93995917,94386265,94418175,94790838,94994595,95636804,95736469,96445899,96529417,97103829,97928665,98046457,98119838,98490448,98528726,98960089,98962240,99177469,99233221,99372324,99587780,...,146781464007006713398355507716557981229356936735778449987471765794044755906313301204566065366560849783491910350147006125843138800026188394886896295263454770638239808971868253081980558110767016536022156974248970754409877271616513687261422530849493921760982563025504793218194635974450536771267398255105874018574590593513324357887658611399798869096757835698270504832405201785830366248922782894929225641180279651272868692276357320066450424844876751734120498775415386856772185347238833509686759442465847507111607445774243292078684014316910191790391430604005955771059874440885664592938510686430193883136087673167863967779885020151679599664206309817888600618152946275512198599452322660010119699293846977121125876387495145346067737564598024224267091153007113923698328545974110542255267093082491579152553361827289713232787392978389175619646829897416628225779944285517678869113336820823646965891284461357300798372064724505875669729811206981911701748267404776777286500080683594776862201582650465021794830340380408006438994845328505440624082884506109230783548996560474182966741188789979089372962824914566816779045927036989077007791962426563628239565584548860014928387673746362376220900158529946732582292710034781991886365570604463259308360547310481323298396116068805074367997563013303360194550756774448754235222852574347870708525127158779564854029065202442243828058497887499500053902447988188880775244593602429888649108005708061429693481282625474840283811975599488101389695216017592252485398439383286719493490679195213879558392572092717534150752037285929946583668150048709580642912532503087230943466248863226110441337559649242665882191814194685644238888265292061346534716084503724622482441900736094454315857982827786398636426777554038838299627472628271530710402698790168067506597183026468883795371596438049319883475377482239988262004178694468950768808572052706981046458657060849953093206569758112930047927693630129138910839584648710170354928594202558242031802743589596676045239778901641662402056827796656659497189768385770484478288632378789912772926050699582626239352548279453706954008978172227583392157449943302516534634108863749734158668517106809955669539048238373972086438742616968036294249112491095767722767100232146870912665293955120031258761637842814309547924143729384346258383722853539357127931048197778582499454443281519063258844806673176326905265443329141038729541242358308038184513299651616837288439587871228764664739974026511468538428616991649706727391870582340695983322868340105794375812946652330253624592345555546618885973681658201591688538454487402742997226502567242104937732027489222997018782272533008693713420641990960635916609941969144232797325573477108520984462132580951894795880665576600101635505702724150078975311780227737971006755836023493595163152206561453469440559813884803998793881163655163950964696962859827074290841996889902049097700838129833496181329821240341408063786578207180292236665080419042287323426806114363711842152872622575437279509975005832042859700850645151182247694547909795148955235529812135494055532857135749040960273862829423285236788045256990790548470322494786562956789269168460489260645603131759534188482225040510350068637752999743024182563748883319681789457620313469352711218963329445112380542741669105021293594455258810720579287125366293859834372660050604262016483520040989482740341698980542055567073294049077920011245816268674860669128926475573094465973255623273789887067885302045983773923832514356831362223264224857541948010970450651831480529475498529305690492754591479510389900109124614673463226289935844698670647625007671087190165434936769258373364126818967441056676695292731265650561188267342224691718283732498215232392498110818709309927757127649475915587953496486292480665312312802866305637354108058193893894074200776586883621949600408362693473044534}
23820 385922053366827155989333651638012287154468054971522775929877249090318717375070: {166691,238130,285756,452219,737459,809234,1117331,1259651,1379762,1401899,1591451,1733531,1875539,2395619,2475304,2784717,3103259,3372074,3526979,3574019,3715091,3927165,4088956,4188976,4513139,4560011,4653731,4712598,4981499,5355611,5635859,5831245,6055691,6195491,6205994,6381779,6614459,6660971,6932956,6997494,7053362,7311299,7797544,8145131,8207205,8330350,8745731,8754352,8772237,8936392,9025514,9114659,9202972,9848646,9850979,9996420,10053441,10074664,10493579,10662848,10814291,11333997,11363171,11591464,11637179,11830634,11865299,11900500,11995704,12034012,12110354,12184331,12593939,12669362,12728392,13040397,13164412,13227794,13229819,13345629,13486024,13495167,13773611,13864744,14280600,14316251,14319441,14361419,14632259,14992931,15128051,15171777,15232640,15308099,15597837,15667811,15819685,16065675,16843562,16922771,17056859,17136720,17458691,17547899,18236956,18279168,18471621,18615899,18780434,18983622,19015211,19278810,19608362,19679291,19723499,19816237,20101705,20121011,20253371,20564064,20985362,21021405,21044956,21046019,21461601,21535154,21990025,22098851,22358762,22422832,22599550,22907114,23016299,23103491,23134572,23538971,23812789,23930219,24065992,24122046,24275474,24320819,24840611,25056851,25225686,25284165,25488731,25549525,25618139,25949992,26081212,26092019,26388030,26736659,26969776,27074241,27119460,27165419,28147232,28191179,28308910,28584904,28630034,28741557,28787411,28829939,28869052,28927424,29042459,29193741,29678819,30340998,30523562,30659430,30693251,30819731,31665636,31870931,31996739,32158017,32206259,32410034,32457419,32499251,32543352,32703392,32875379,33216362,33406401,33970692,34018270,34105645,34220584,34295781,34373411,34497779,35092754,36095944,36108011,36611271,36695474,36791316,36847091,36929051,37542731,37787699,38439539,38498157,38561531,38683451,39086845,39291971,39355154,39413459,39769525,39841864,39847197,40100531,40298566,40414994,40441300,40532965,40607937,40821924,40926774,41187011,41543997,41736554,41996289,42626579,43054514,43223339,43317674,43620179,43699451,43954984,43976651,44687651,44812105,44822097,44884691,45002819,45238859,45278171,46235409,46336571,46904214,46986794,47314504,47622251,47699891,47723430,47769362,47971379,48365845,48397211,48433192,48529560,48551819,48639558,48722350,48728956,49438331,49449357,49590314,49849874,50111949,50129171,50244059,50368562,50699845,50904992,50912572,51764864,51844931,51944005,52110371,52157992,52186139,52791131,52886805,53085109,53228817,53274184,53356451,53468594,53774526,54107411,54257219,54487341,54595755,55041611,55339499,55672645,55785371,55838350,56194765,56230091,56341091,56351452,56412592,56484597,56488979,56599811,56893756,56935941,57005579,57263291,57268116,57373619,57435772,57569380,57569714,57594059,57997451,58039014,58235472,58466820,58655459,58677741,58801331,58843754,58874219,58910651,59201819,59528771,59588392,59600956,59891291,59933457,59963699,60614372,60839814,60974051,61686541,61799291,61942379,62300956,62332806,62364608,62626045,62655899,63148562,63323065,63330779,63454605,63464166,63543299,63649451,63903914,64038059,64188141,64909034,65066701,65478085,65514906,65652659,66140699,66349379,66807174,66973691,67006020,67036941,67197237,67215779,67411754,67433718,67684912,67698779,67939691,68454611,68652577,68840392,69083256,69095649,69240659,69403562,69649091,69822652,69900074,70160184,70462499,70496291,70563851,71436669,71473088,71673971,71792584,72108899,72222374,72309179,72428350,72495292,73405571,73504811,73769099,73884685,73966979,73999931,74065811,74296139,74372392,74394731,74728345,74755619,75013477,75151254,75568562,75572219,75692956,75835870,75987678,76027331,76145526,76448531,76836131,77011521,77445441,77718663,77800091,78151739,78183659,78189397,78349756,78573702,78738794,78756851,78930207,79295819,79390691,79532350,79580219,79657765,79706411,80178491,80407224,80742611,80766657,81023699,81366371,81459659,81770099,82019917,82256725,82573499,82665851,82826824,82847762,83065211,83340899,83568554,83668941,83768459,84465469,84497771,84679379,84705549,84707965,84800291,84890891,85041731,85312739,85393192,85402931,86062139,86151731,86179142,86438762,86591960,86820837,86914020,87153074,87221219,87634331,87840299,88009201,88123630,88163171,88661622,88707165,88951571,88980659,89150017,89242091,89315161,89329091,89560739,89674014,89813829,90338771,90458127,90469394,90596819,90881992,91003044,91053971,91054405,91139459,92049052,92159699,92708288,92750051,92834099,92900805,92952430,93180177,93420419,93803464,94133065,94139356,94417331,94620976,94661212,94948257,95158211,95390954,95438820,95485619,95567291,95589318,95730419,96067341,97031005,97076949,97085224,97185611,97265771,97319171,97415955,97449544,97512501,97877939,97904459,98075110,98116331,98195651,98561749,98708070,98867474,99094192,99183165,99220259,99298571,99376811,99559091,99715019,...,220172196010510070097533261574836971844035405103667674981207648691067133859469951806849098049841274675237865525220509188764708200039282592330344442895182155957359713457802379622970837166150524804033235461373456131614815907424770530892133796274240882641473844538257189827291953961675805156901097382658811027861885890269986536831487917099698303645136753547405757248607802678745549373384174342393838461770419476909303038414535980099675637267315127601180748163123080285158278020858250264530139163698771260667411168661364938118026021475365287685587145906008933656589811661328496889407766029645290824704131509751795951669827530227519399496309464726832900927229419413268297899178483990015179548940770465681688814581242718019101606346897036336400636729510670885547492818961165813382900639623737368728830042740934569849181089467583763429470244846124942338669916428276518303670005231235470448836926692035951197558097086758813504594716810472867552622401107165165929750121025392165293302373975697532692245510570612009658492267992758160936124326759163846175323494840711274450111783184968634059444237371850225168568890555483615511687943639845442359348376823290022392581510619543564331350237794920098873439065052172987829548355906694888962540820965721984947594174103207611551996344519955040291826135161673131352834278861521806062787690738169347281043597803663365742087746831249250080853671982283321162866890403644832973662008562092144540221923938212260425717963399232152084542824026388378728097659074930079240236018792820819337588858139076301226128055928894919875502225073064370964368798754630846415199373294839165662006339473863998823287721292028466358332397938092019802074126755586933723662851104141681473786974241679597954640166331058257449441208942407296065604048185252101259895774539703325693057394657073979825213066223359982393006268041703426153212858079060471569687985591274929639809854637169395071891540445193708366259376973065255532392891303837363047704115384395014067859668352462493603085241694984989245784652578655726717432948568184869159389076049373939359028822419180560431013467258341375088236174914953774801951163295624601238002775660214933504308572357560958129658113925452054441373668736643651584150650348220306368997940932680046888142456764221464321886215594076519387575584280309035691896572296667873749181664922278594888267210009764490357898164993711558094311863537462057276769949477425255932659381806843146997109961039767202807642925487474560091087805873511043974984302510158691563719419978495380436888518333319928328960522487302387532807681731104114495839753850863157406598041233834495528173408799513040570130962986440953874914912953716349195988360215662781476693198871427842193820998364900152453258554086225118462967670341606956510133754035240392744728309842180204160839720827205998190821745482745926447045444289740611436262995334853073646551257194750244271994731860512112095679867310770438354997620628563430985140209171545567763229308933863155919264962508748064289551275967726773371541821864692723432853294718203241083299285703623561440410794244134927855182067885486185822705483742179844435183903752690733890968404697639301282723337560765525102956629499614536273845623324979522684186430470204029066828444994167668570814112503657531940391682888216080868930688049440789751558990075906393024725280061484224110512548470813083350609941073616880016868724403012291003693389713359641698959883434910684830601827953068975660885748771535247043334896337286312922016455675977747220794213247793958535739131887219265584850163686922010194839434903767048005971437511506630785248152405153887560046190228451161585015042939096898475841782401013337037577425598747322848588747166228063964891635691474213873381930244729438720997968469204299458456031162087290840841111301164880325432924400612544040209566801}
23821 387282070144761080156097831712753374195231010300932831943233564482500497213494: {47638,357195,381008,428634,1213851,2069643,2165891,3094130,3665354,3712956,5058111,5111195,5236220,5875883,6133434,6283464,6822851,7068897,7660058,7819343,8666195,8815331,9308991,9329992,9675611,9746930,9943802,10142531,10399434,10496241,10514738,10580043,10942940,11137343,11170490,11241791,11503715,11696316,11800271,12131651,12495525,12528371,12593330,12667811,13098923,13131528,13328560,13404588,13538271,13804458,14489330,14517971,14772969,14875625,14949443,14994630,15042515,15111996,15910490,15994272,16455515,16857530,16945871,17330930,17369291,17387196,17498591,17745951,17794172,17850750,17993556,18051018,18165531,18509819,18831371,19004043,19040800,19092588,19619978,19746618,19841691,20220611,20229036,20678411,20797116,21057743,21361139,21420900,21437834,22706243,22796195,22848960,23440178,23598554,24372224,24568874,24621491,24628828,25011791,25151834,25265343,25311496,25705080,26306195,26615903,27244691,27355434,27418752,27442883,27515819,28028540,28170651,28475433,28615468,28918215,29412543,29943011,30082490,30846096,31478043,31567434,31583951,31654751,31705178,31868474,32162728,32302731,32437490,32509643,32601515,32731634,33122834,33538143,33634248,33712220,33899325,34360671,34593551,34701858,34861631,34994234,35184040,35731130,36018131,36086315,36098988,36159280,36183069,36192959,36413211,36427898,37404863,37771931,37838529,38322076,38460611,38924988,39121818,39582045,39966002,40321931,40454664,40679190,40879240,41400191,42158051,42220848,42379043,42422858,42463365,42769883,42775730,42877356,42945051,43097423,43303578,43391136,44541868,45119930,45294256,45511497,45638243,45727708,45785343,45989145,46441802,46614911,46983434,47045339,47498454,47628458,47826458,48615051,48815028,49055088,49238834,49361018,49802330,49824543,50213123,50551625,50860283,50956038,50973938,51027405,51118643,51330876,52139843,52205519,52639131,53129596,53227322,54143916,54429232,54569032,54773279,54943730,54984683,55043211,55186974,55391996,55594331,55995052,57885434,58917119,59032731,59143130,59224298,59225018,59321219,59388323,59400539,59762796,60175103,60235343,60364874,60447849,60541490,60622491,60661950,60911195,61076483,61232886,61390161,61647212,62493983,62538952,62604831,62818511,63631240,63640715,64581771,64706080,64723418,64852744,64976511,65075843,65197490,65932476,66592730,66815932,66935018,68237114,69142991,69181274,69587531,70169759,70356321,70439315,70480191,70515740,70759043,70971756,71117195,71344394,71585145,71654043,71699368,71794715,71961725,72030194,72379802,72473471,72649788,72687971,72794340,72959337,73083525,73093434,73835411,74170259,74385471,74485490,74501195,74719043,74774811,75312796,75552843,75632591,75767965,75914588,76357488,76368858,76866491,77385352,77647296,77668523,77876195,77955760,78236988,79521743,79911276,80202891,80341823,80661789,80900171,81119752,82078031,82315883,82793354,82920851,82940531,83110408,83757525,84308978,84527178,84606140,84618888,84628091,84735131,84949571,85012643,85268351,85340634,85584188,85902174,86050490,86153658,86354070,86354571,86574203,86707418,87014411,87058521,87278315,87353208,87700230,88265631,89076232,89242943,89341360,89382588,89395571,89401434,89596316,89740730,89755897,89911624,90619115,90657803,90921558,91013138,91259721,91632191,92111008,92127532,92570954,92965490,93051002,93161231,93451434,93499209,93546912,93737243,94082714,94616195,94722843,94998371,95196249,95248892,95439743,95855871,96537611,97363551,97674842,97683839,97937195,98272359,98968451,99185843,99555491,99987971,...,293562928014013426796711015433115962458713873471556899974943531588089511812626602409132130733121699566983820700294012251686277600052376789773792590526909541276479617943736506163961116221534033072044313948497941508819754543233027374522845061698987843521965126051009586436389271948901073542534796510211748037149181187026648715775317222799597738193515671396541009664810403571660732497845565789858451282360559302545737384552714640132900849689753503468240997550830773713544370694477667019373518884931695014223214891548486584157368028633820383580782861208011911542119748881771329185877021372860387766272175346335727935559770040303359199328412619635777201236305892551024397198904645320020239398587693954242251752774990290692135475129196048448534182306014227847396657091948221084510534186164983158305106723654579426465574785956778351239293659794833256451559888571035357738226673641647293931782568922714601596744129449011751339459622413963823403496534809553554573000161367189553724403165300930043589660680760816012877989690657010881248165769012218461567097993120948365933482377579958178745925649829133633558091854073978154015583924853127256479131169097720029856775347492724752441800317059893465164585420069563983772731141208926518616721094620962646596792232137610148735995126026606720389101513548897508470445705148695741417050254317559129708058130404884487656116995774999000107804895976377761550489187204859777298216011416122859386962565250949680567623951198976202779390432035184504970796878766573438986981358390427759116785144185435068301504074571859893167336300097419161285825065006174461886932497726452220882675119298485331764383628389371288477776530584122693069432169007449244964883801472188908631715965655572797272853555108077676599254945256543061420805397580336135013194366052937767590743192876098639766950754964479976524008357388937901537617144105413962092917314121699906186413139516225860095855387260258277821679169297420340709857188405116484063605487179193352090479557803283324804113655593313318994379536771540968956577264757579825545852101399165252478705096558907413908017956344455166784314899886605033069268217727499468317337034213619911339078096476747944172877485233936072588498224982191535445534200464293741825330587910240062517523275685628619095848287458768692516767445707078714255862096395557164998908886563038126517689613346352653810530886658282077459082484716616076369026599303233674576879175742457529329479948053022937076857233983299413454783741164681391966645736680211588751625893304660507249184691111093237771947363316403183377076908974805485994453005134484209875464054978445994037564545066017387426841283981921271833219883938288465594651146954217041968924265161903789591761331153200203271011405448300157950623560455475942013511672046987190326304413122906938881119627769607997587762327310327901929393925719654148581683993779804098195401676259666992362659642480682816127573156414360584473330160838084574646853612228727423684305745245150874559019950011664085719401701290302364495389095819590297910471059624270988111065714271498081920547725658846570473576090513981581096940644989573125913578538336920978521291206263519068376964450081020700137275505999486048365127497766639363578915240626938705422437926658890224761085483338210042587188910517621441158574250732587719668745320101208524032967040081978965480683397961084111134146588098155840022491632537349721338257852951146188931946511246547579774135770604091967547847665028713662724446528449715083896021940901303662961058950997058611380985509182959020779800218249229346926452579871689397341295250015342174380330869873538516746728253637934882113353390585462531301122376534684449383436567464996430464784996221637418619855514255298951831175906992972584961330624625605732611274708216116387787788148401553173767243899200816725386946089068}
23822 388646848637147892790133269222117269935563851961343504053353570306969324924106: {71457,333382,476260,571512,642951,904438,1449421,1474918,1618468,1875697,2234662,2443057,2519302,2759524,2803798,3182902,3467062,3574321,3751078,4560397,4641195,4700977,4791238,4950608,5262577,5402797,5498031,5569434,5683021,6206518,6545275,6661537,6744148,7053958,7148038,7358317,7430182,7854330,8163743,8177912,8192077,8377952,9026278,9120022,9200151,9307462,9425196,9962998,10711222,11271718,11490087,11662490,12111382,12390982,12411988,12763558,13228918,13276321,13321942,13678675,13865912,13994988,14106724,14227117,14362657,14620395,14622598,14915703,15595088,15599151,15772107,15983521,16290262,16414410,16660700,16755735,17326321,17491462,17508704,17544474,17727757,17872784,18051028,18229318,18405944,18661921,18889995,19061197,19697292,19701958,19725217,19992840,20106882,20149328,20706687,20987158,21325696,21628582,21733995,22147559,22242715,22491945,22667994,22726342,23182928,23274358,23661268,23671537,23730598,23801000,23865735,23991408,24068024,24220708,24368662,25187878,25286295,25338724,25456784,25490977,25996395,26080794,26137357,26328824,26455588,26459638,26524321,26691258,26776125,26972048,26990334,27076527,27167821,27547222,27729488,28142387,28193677,28561200,28632502,28638882,28722838,28832497,29087521,29264518,29429967,29619927,29723821,29985862,30256102,30343554,30465280,30616198,30786035,30991021,31195674,31335622,31639370,31663159,32131350,32156751,32502157,33687124,33845542,34113718,34127521,34273440,34376497,34500877,34917382,35035675,35095798,35160267,35397831,35769335,36473912,36558336,36850417,36853311,36943242,36973357,37231798,37464397,37560868,37586977,37727751,37967244,38030422,38557620,38808817,39216724,39295537,39358582,39446998,39632474,40203410,40242022,40265521,40506742,40869421,41033151,41128128,41230897,41970724,42042810,42089912,42092038,42140275,42670321,42923202,43070308,43980050,44197702,44717524,44845664,45123735,45199100,45282337,45814228,46032598,46206982,46269144,46809421,47077942,47351151,47557767,47625578,47747903,47802711,47860438,47902595,47975821,48131984,48244092,48550948,48641638,48656235,49097451,49365997,49681222,49684251,50113702,50287021,50451372,50568330,50977462,51099050,51203437,51236278,51899984,52052787,52162424,52184038,52491351,52776060,53361457,53473318,53596695,53939552,54037537,54148482,54238920,54330838,54641847,54721583,55677335,56272417,56294464,56382358,56617820,56715937,56746151,57159635,57169808,57260068,57483114,57574822,57659878,57738104,57854848,58084918,58387482,58682727,58697521,58916257,59357638,59949003,60681996,61018785,61047124,61318860,61386502,61639462,62736947,63331272,63336877,63634287,63741862,63867697,63993478,64163595,64316034,64412518,64820068,64914838,64955367,64998502,65086704,65406784,65659021,65750758,66411995,66432724,66494797,66812802,67014817,67222321,67679895,67712183,67739821,67941384,67946317,68036540,68211290,68441168,68461297,68591562,68746822,68995558,69239995,69281521,69662703,69993815,69995437,70185508,70475151,70503217,70604557,70979783,71110177,71247681,71442687,71739687,72191888,72216022,72721607,73222542,73390948,73582632,73694182,73858102,73858251,74007277,74041527,74599117,74703495,74992237,75085462,75575398,75969997,76434057,76460907,76879078,76996314,77059015,77123062,77366902,77941703,78173690,78191521,78583942,78672671,78710308,78826918,79335457,79539050,79619821,79683728,79694394,79840983,80201062,80597132,80829988,80882600,81065930,81215874,81643848,81853548,82374022,82415595,82705057,82780461,83087994,83473108,83519915,83992578,84536737,85253158,86071021,86109028,86446678,86635348,86828151,87141517,87240358,87398902,87672877,87676463,87909968,87953302,88144675,88289521,88465057,88652291,88714695,88836447,88837527,88989937,89375302,89624210,89644194,89769382,90005638,90477718,90547311,90556342,90812235,90992925,91490317,91669319,91849329,92405651,92470818,92673142,92759857,92843917,93808428,93973588,94140995,94402583,94629008,94893235,95244502,95399782,95446860,95538724,95942758,96731690,96794422,96866384,97059120,97085127,97103638,97279116,97444700,97457912,97796235,97915021,98876662,98898714,99180628,99699748,99822827,99889095,...,440344392021020140195066523149673943688070810207335349962415297382134267718939903613698196099682549350475731050441018377529416400078565184660688885790364311914719426915604759245941674332301049608066470922746912263229631814849541061784267592548481765282947689076514379654583907923351610313802194765317622055723771780539973073662975834199396607290273507094811514497215605357491098746768348684787676923540838953818606076829071960199351274534630255202361496326246160570316556041716500529060278327397542521334822337322729876236052042950730575371174291812017867313179623322656993778815532059290581649408263019503591903339655060455038798992618929453665801854458838826536595798356967980030359097881540931363377629162485436038203212693794072672801273459021341771094985637922331626765801279247474737457660085481869139698362178935167526858940489692249884677339832856553036607340010462470940897673853384071902395116194173517627009189433620945735105244802214330331859500242050784330586604747951395065384491021141224019316984535985516321872248653518327692350646989681422548900223566369937268118888474743700450337137781110967231023375887279690884718696753646580044785163021239087128662700475589840197746878130104345975659096711813389777925081641931443969895188348206415223103992689039910080583652270323346262705668557723043612125575381476338694562087195607326731484175493662498500161707343964566642325733780807289665947324017124184289080443847876424520851435926798464304169085648052776757456195318149860158480472037585641638675177716278152602452256111857789839751004450146128741928737597509261692830398746589678331324012678947727997646575442584056932716664795876184039604148253511173867447325702208283362947573948483359195909280332662116514898882417884814592131208096370504202519791549079406651386114789314147959650426132446719964786012536083406852306425716158120943139375971182549859279619709274338790143783080890387416732518753946130511064785782607674726095408230768790028135719336704924987206170483389969978491569305157311453434865897136369738318778152098747878718057644838361120862026934516682750176472349829907549603902326591249202476005551320429867008617144715121916259316227850904108882747337473287303168301300696440612737995881865360093776284913528442928643772431188153038775151168560618071383793144593335747498363329844557189776534420019528980715796329987423116188623727074924114553539898954850511865318763613686293994219922079534405615285850974949120182175611747022087949968605020317383127438839956990760873777036666639856657921044974604775065615363462208228991679507701726314813196082467668991056346817599026081140261925972881907749829825907432698391976720431325562953386397742855684387641996729800304906517108172450236925935340683213913020267508070480785489456619684360408321679441654411996381643490965491852894090888579481222872525990669706147293102514389500488543989463721024224191359734621540876709995241257126861970280418343091135526458617867726311838529925017496128579102551935453546743083643729385446865706589436406482166598571407247122880821588488269855710364135770972371645410967484359688870367807505381467781936809395278602565446675121531050205913258999229072547691246649959045368372860940408058133656889988335337141628225007315063880783365776432161737861376098881579503117980151812786049450560122968448221025096941626166701219882147233760033737448806024582007386779426719283397919766869821369661203655906137951321771497543070494086669792674572625844032911351955494441588426495587917071478263774438531169700327373844020389678869807534096011942875023013261570496304810307775120092380456902323170030085878193796951683564802026674075154851197494645697177494332456127929783271382948427746763860489458877441995936938408598916912062324174581681682222602329760650865848801225088080419133602}
23823 390016405407571084896775488332788850991877786476123399588056936518300385184046: {95276,500073,595325,714390,762016,857268,1356657,2023085,2212377,2427702,2879921,3351993,3449405,3778953,4139286,4205697,4331782,4774353,5200593,5626617,6018617,6188260,6875021,7155673,7186857,7330708,7425912,8354151,8430185,9309777,10116222,10222390,10472440,10580937,10722057,11145273,11434813,11751766,11781495,12132673,12266868,12566928,13285753,13539417,13645702,13680033,13961193,14002297,14137794,14944497,15320116,15415697,15514985,15638686,16066833,16105201,16708201,16907577,17332390,17493735,17630662,17633405,18167073,18541721,18586473,18617982,18659984,19145337,19351222,19412737,19493860,19843377,19887604,19982913,20285062,20680153,20798868,20825875,20992482,21029476,21059521,21160086,21401453,21885880,21933897,22274686,22340980,22483582,22563785,22834321,23007430,23037721,23392632,23600542,23818241,24263302,24435393,24621615,24991050,25056742,25186660,25335622,25676993,26197846,26237193,26263056,26316711,26657120,26809176,27076542,27343977,27518137,27608916,28242317,28947593,28978660,29035942,29545938,29552937,29576585,29751250,29898886,29989260,30085030,30160323,30223992,30275885,31480737,31673405,31820980,31914673,31988544,32216537,32367161,32442873,32911030,33069485,33715060,33891742,34001991,34089513,34661860,34738582,34774392,34911537,34997182,35491902,35588344,35595897,35701500,35987112,36102036,36331062,36489917,36552993,36828673,37019638,37662742,37775113,37781817,38008086,38081600,38185176,38783657,39121191,39239956,39493236,39683382,39689457,39908621,40036887,40441222,40458072,40485501,41320833,41356822,41594232,42108905,42115486,42722278,42773497,42841800,42875668,42948753,42958323,43084257,43896777,44978793,45384153,45412486,45515331,45592390,45642121,45697920,45924297,46533377,46793511,46880356,46951085,47003433,47197108,47459055,48197025,48744448,49020905,49137748,49242982,49257656,50023582,50303668,50520841,50530686,50622992,50768313,51170577,51410160,52376073,52463405,52612390,52643697,53231806,53676097,53837885,54489382,54710868,54837504,54885766,55031638,55125101,55414863,55599037,55847697,55896905,56057080,56341302,56498875,56950866,57045633,57132601,57230936,57267785,57836430,58799401,58825086,59037873,59170497,59448711,59886022,60164980,60305115,60363033,60688685,60760113,61562513,61692192,62214937,62956086,63064215,63134868,63138057,63167902,63309502,63410356,63736948,64325456,64384803,64605462,64732057,64874980,65019286,65051921,65203030,65463268,65970075,66245668,66296553,67076286,67268496,67424440,67798650,68127257,68721342,69048897,69187102,69310473,69403716,69504653,69723262,69988468,70200637,70368080,70616913,70772275,71314697,71438367,71462260,71575085,71790657,71896961,72036262,72172630,72197976,72318560,72366138,72385918,72734321,72826422,72855796,72962457,73500761,74521833,74562113,74809726,75170553,75543862,75638977,75677058,75852495,76308905,76466193,76644152,76648575,76854417,76921222,77849976,78243636,78276057,79066541,79164090,79932004,80209977,80643862,80909328,81025085,81222723,81239497,81358380,81496257,81758480,82800382,82927897,83040905,84316102,84441696,84573537,84758086,84845716,84926730,85019821,85045675,85275673,85539766,85551460,85754712,85890102,86194846,86224671,86362233,86489817,86607156,86782272,87127377,87581223,87731885,89036457,89083736,89097001,89895737,90239860,90588512,90774353,91022994,91091297,91276486,91455416,91570686,91738685,91978290,92079753,92459193,92883604,93229822,93966868,94011833,94090678,94584337,94996908,95256916,95489341,95609293,95612793,95652916,95752721,95990217,96474051,96618777,97230102,97372257,97497753,97630056,98110176,98387885,98477668,98615041,98626137,98722036,99082721,99564073,99604660,99649086,99912697,...,660516588031530210292599784724510915532106215311003024943622946073201401578409855420547294149523824025713596575661527566294124600117847776991033328685546467872079140373407138868912511498451574412099706384120368394844447722274311592676401388822722647924421533614771569481875861885027415470703292147976433083585657670809959610494463751299094910935410260642217271745823408036236648120152523027181515385311258430727909115243607940299026911801945382803542244489369240855474834062574750793590417491096313782002233505984094814354078064426095863056761437718026800969769434983985490668223298088935872474112394529255387855009482590682558198488928394180498702781688258239804893697535451970045538646822311397045066443743728154057304819040691109009201910188532012656642478456883497440148701918871212106186490128222803709547543268402751290288410734538374827016009749284829554911010015693706411346510780076107853592674291260276440513784150431418602657867203321495497789250363076176495879907121927092598076736531711836028975476803978274482808372980277491538525970484522133823350335349554905902178332712115550675505706671666450846535063830919536327078045130469870067177744531858630692994050713384760296620317195156518963488645067720084666887622462897165954842782522309622834655989033559865120875478405485019394058502836584565418188363072214508041843130793410990097226263240493747750242561015946849963488600671210934498920986025686276433620665771814636781277153890197696456253628472079165136184292977224790237720708056378462458012766574417228903678384167786684759626506675219193112893106396263892539245598119884517496986019018421591996469863163876085399074997193814276059406222380266760801170988553312425044421360922725038793863920498993174772348323626827221888196812144555756303779687323619109977079172183971221939475639198670079947179018804125110278459638574237181414709063956773824788919429563911508185215674621335581125098778130919195766597178673911512089143112346153185042203579005057387480809255725084954967737353957735967180152298845704554607478167228148121818077086467257541681293040401775024125264708524744861324405853489886873803714008326980644800512925717072682874388974341776356163324121006209930954752451951044660919106993822798040140664427370292664392965658646782229558162726752840927107075689716890003621247544994766835784664801630029293471073694494981134674282935590612386171830309848432275767797978145420529440991329883119301608422928776462423680273263417620533131924952907530476074691158259935486141310665554999959784986881567461907162598423045193312343487519261552589472219794123701503486584520226398539121710392888959322861624744738861149047587965080646988344430079596614283526581462995094700457359775662258675355388903011024820869530401262105721178234184929526540612482519162481617994572465236448237779341136332869221834308788986004559220939653771584250732815984195581536336287039601932311315064992861885690292955420627514636703289687926801589467757794887526244192868653827903180320114625465594078170298559884154609723249897857110870684321232382732404783565546203656458557468116451226539533305551711258072201672905214092917903848170012682296575308869888498843608821536869974938568052559291410612087200485334982503005712442337510972595821175048664648242606792064148322369254676970227719179074175840184452672331537645412439250051829823220850640050606173209036873011080169140078925096879650304732054491805483859206926982657246314605741130004689011858938766049367027933241662382639743381875607217395661657796754550491060766030584518304711301144017914312534519892355744457215461662680138570685353484755045128817290695427525347203040011112732276796241968545766241498684191894674907074422641620145790734188316162993905407612898375368093486261872522523333903494640976298773201837632120628700403}
23824 391390757076856131835723585750752323232948776261364816901426247168918499602638: {119095,142914,261943,547423,666764,952520,1071585,1143024,1285902,1686463,1808876,1970503,2898842,2949836,3236936,3245119,3641553,3751394,4469324,4513903,4654519,4886114,5038604,5519048,5607596,6056719,6196543,6208929,6365804,6497673,6894583,6934124,7148642,7502156,7735325,9120794,9163385,9282390,9401954,9582476,9901216,10525154,10805594,10907719,10996062,11138868,11366042,11456503,11730463,12413036,13090550,13323074,13488296,14107916,14296076,14716634,14860364,15174333,15333585,15708660,16327486,16355824,16384154,16755904,17149183,17550943,17627649,18052556,18240044,18352519,18400302,18614924,18850392,18885463,19150145,19815343,19925996,20212783,20345119,20468553,21206691,21422444,21664519,21796063,22190263,22543436,22980174,23107543,23324980,23458029,24222764,24367325,24781964,24823976,24859505,24931519,25061263,25527116,25998585,26286845,26445993,26457836,26552642,26643884,26741383,26870119,27357350,27731824,27926225,27926973,27989976,28213448,28454234,28725314,28920103,29026833,29240790,29245196,29831406,30427593,31139801,31190176,31198302,31483325,31488723,31544214,31740129,31960519,31967042,32086303,32580524,32828820,33089983,33321400,33412029,33511470,33725373,34511145,34586863,34652642,34982924,35017408,35088948,35400813,35455514,35745568,36102056,36223325,36394953,36458636,36811888,36935719,37323842,37420097,37486575,37585113,37779990,38003433,38122394,38283703,39296769,39380119,39394584,39403916,39450434,39776225,39865543,39985680,40213764,40298656,40591519,40614813,41413374,41915743,41974316,42143825,42275383,42651392,43100449,43112023,43257164,43327325,43467990,43553913,43707463,44295118,44318907,44485430,44626875,44848329,44983890,45127545,45335988,45365119,45452684,45836143,46365856,46423303,46548716,47322536,47343074,47461196,47602000,47708719,47731470,47825143,47982816,48136048,48290119,48441416,48737324,48869719,49049945,49366545,50077069,50138503,50375756,50572590,50597719,50677448,50837613,50913568,50981954,51740719,51854623,51992790,52107873,52161588,52195903,52274714,52309519,52495773,52657648,52876519,52911176,52919276,53048642,53237853,53382516,53552250,53594585,53944096,53980668,54153054,54335642,54496593,55094444,55458976,55529457,55795903,56284774,56387354,56494113,57012129,57122400,57265004,57277764,57445676,57664994,58175042,58529036,58600445,58859934,58885423,58996385,59239854,59447642,59525073,59648983,59971724,59975143,60512204,60661833,60687108,60733663,60930560,61165519,61232396,61422185,61572070,61982042,62035233,62391348,62671244,62879585,63173229,63278740,63326318,64083417,64262700,64313502,65004314,67063633,67374248,67691084,68118729,68227436,68255042,68388585,68536519,68546880,68752994,69001754,69662743,69834764,70071350,70191596,70320534,70577719,70795662,70982503,71538670,71587519,72689983,72947824,73116672,73188223,73700834,73706622,73864473,73886484,73946714,74080519,74463596,74475223,74928794,75035373,75121736,75173954,75206225,75455502,75456943,75796029,75934488,76060844,76139863,76625503,76916023,77109343,77115240,77617634,77879743,77948269,78433448,78591074,78717164,78893996,78918585,79262945,79264948,79671185,79847709,80023489,80406820,80445823,80484044,80531042,81013484,81093725,81289519,81734073,81738842,81829085,82066302,82256256,82328649,82461794,82547457,82807085,83051503,83235463,83419457,83510863,83694103,83941448,84085620,84179824,84184076,84280550,84511953,85330303,85340642,85420519,85426299,85780663,85846404,86140616,86229223,86754645,87298423,87485585,87960100,88237629,88395404,89057383,89327825,89435048,89691328,89829033,89926063,90247470,90398200,90564674,90615823,91069745,91130119,91215583,91628456,92065196,92404519,92413964,92538288,92976793,93618842,94155884,94409863,94434129,94702302,94751853,94822423,94964253,95115534,95233183,95251156,95495806,95605422,95720876,95805190,95951642,96211663,96263968,96488184,96908193,96935993,97101896,97259983,97283276,97312470,97340119,97528929,97804545,97991341,98194902,98216863,98731994,99241783,99362444,99368502,99915005,...,880688784042040280390133046299347887376141620414670699924830594764268535437879807227396392199365098700951462100882036755058832800157130369321377771580728623829438853831209518491883348664602099216132941845493824526459263629699082123568535185096963530565895378153028759309167815846703220627604389530635244111447543561079946147325951668398793214580547014189623028994431210714982197493536697369575353847081677907637212153658143920398702549069260510404722992652492321140633112083433001058120556654795085042669644674645459752472104085901461150742348583624035734626359246645313987557631064118581163298816526039007183806679310120910077597985237858907331603708917677653073191596713935960060718195763081862726755258324970872076406425387588145345602546918042683542189971275844663253531602558494949474915320170963738279396724357870335053717880979384499769354679665713106073214680020924941881795347706768143804790232388347035254018378867241891470210489604428660663719000484101568661173209495902790130768982042282448038633969071971032643744497307036655384701293979362845097800447132739874536237776949487400900674275562221934462046751774559381769437393507293160089570326042478174257325400951179680395493756260208691951318193423626779555850163283862887939790376696412830446207985378079820161167304540646692525411337115446087224251150762952677389124174391214653462968350987324997000323414687929133284651467561614579331894648034248368578160887695752849041702871853596928608338171296105553514912390636299720316960944075171283277350355432556305204904512223715579679502008900292257483857475195018523385660797493179356662648025357895455995293150885168113865433329591752368079208296507022347734894651404416566725895147896966718391818560665324233029797764835769629184262416192741008405039583098158813302772229578628295919300852264893439929572025072166813704612851432316241886278751942365099718559239418548677580287566161780774833465037507892261022129571565215349452190816461537580056271438673409849974412340966779939956983138610314622906869731794272739476637556304197495757436115289676722241724053869033365500352944699659815099207804653182498404952011102640859734017234289430243832518632455701808217765494674946574606336602601392881225475991763730720187552569827056885857287544862376306077550302337121236142767586289186671494996726659689114379553068840039057961431592659974846232377247454149848229107079797909701023730637527227372587988439844159068811230571701949898240364351223494044175899937210040634766254877679913981521747554073333279713315842089949209550131230726924416457983359015403452629626392164935337982112693635198052162280523851945763815499659651814865396783953440862651125906772795485711368775283993459600609813034216344900473851870681366427826040535016140961570978913239368720816643358883308823992763286981930983705788181777158962445745051981339412294586205028779000977087978927442048448382719469243081753419990482514253723940560836686182271052917235735452623677059850034992257158205103870907093486167287458770893731413178872812964333197142814494245761643176976539711420728271541944743290821934968719377740735615010762935563873618790557205130893350243062100411826517998458145095382493299918090736745721880816116267313779976670674283256450014630127761566731552864323475722752197763159006235960303625572098901120245936896442050193883252333402439764294467520067474897612049164014773558853438566795839533739642739322407311812275902643542995086140988173339585349145251688065822703910988883176852991175834142956527548877062339400654747688040779357739615068192023885750046026523140992609620615550240184760913804646340060171756387593903367129604053348150309702394989291394354988664912255859566542765896855493527720978917754883991873876817197833824124648349163363364445204659521301731697602450176160838267204}
23825 392769920323267029334422432549954610080439189926068165150355424346905156813257: {190552,214371,833455,1000146,1190650,1428780,1524032,1714536,1928853,2261095,2713314,2832319,3403543,3687295,4046170,4348263,4424754,4829167,4855404,5586655,5627091,5759842,6298255,6703986,6898810,7009495,7112911,7329171,7557906,7683847,7957255,8278572,8411394,8663564,8667655,9377695,9548706,10401186,10721623,10722963,11253234,11802259,11978095,12037234,12287539,12376520,13681191,13750042,13852663,13923585,14102931,14311346,14373714,14661416,14851824,15516295,15787731,15856591,15938263,16208391,16494093,16565599,16708302,16860370,17049063,17501539,17634895,17870095,18218551,18543283,18575455,18619554,18985039,19064023,19635825,19984611,19988047,20232444,20444780,20944880,21161874,21444114,21720979,21912943,22074951,22290546,22406623,22565695,22800055,22869626,23268655,23503532,23562990,23919271,24265346,24491229,24533736,24576231,24625639,24686767,24907495,25133856,26571506,26620387,26778055,27040999,27078834,27291404,27360066,27600453,27922386,28004594,28179295,28275588,29156225,29619991,29888994,30190063,30278455,30640232,30831394,30977455,31029970,31277372,31589299,31908895,32133666,32210402,32219251,33072295,33090739,33304855,33308623,33416402,33815154,34470261,34599379,34664780,34987470,35261324,35266810,35681239,35886847,36024199,36334146,36492991,36556495,37083442,37172946,37235964,37319968,38290674,38702444,38825474,38987720,39006463,39304243,39686754,39775208,39828963,39911983,39965826,40570124,40725655,41036025,41285599,41360306,41407219,41597736,41651750,41855383,41984964,42058952,42119042,42320172,42386239,42681351,42802906,43087971,43728655,43771760,43861185,43867794,44342767,44549372,44681960,44747109,44967164,45127570,45279571,45573295,45668642,45835231,46014860,46075442,46297279,46785264,46797453,47053303,47201084,47316321,47636482,47950563,48526604,48870786,49243230,49254895,49631923,49982100,50113484,50267205,50373320,50671244,51353986,51978963,52395692,52467895,52474386,52526112,52633422,52728679,53183271,53314240,53618352,54071455,54153084,54687954,54782563,54993991,55036274,55129759,55217832,55929847,55985763,56484634,56669985,56815855,57183591,57895186,57957320,58071884,58185895,58952467,59091876,59105874,59153170,59175651,59326495,59502500,59797772,59978520,60170060,60320646,60438103,60447984,60551770,60921655,61567711,61610407,62120061,62961474,62969695,63346810,63641960,63829346,63977088,64433074,64734322,64885746,65057443,65201985,65731519,65772787,65822060,66138970,66149095,66442677,66595639,66626671,66728145,67430120,67475835,67783484,68003982,68179026,68629267,68868055,69323720,69477164,69548784,69823074,69994364,70983804,71014611,71176688,71191794,71320723,71403000,71581255,71597205,71717239,71807095,71903047,71974224,72204072,72662124,72700279,72979834,73105986,73161295,73252003,73448767,73506967,73657346,74039276,74874607,74964655,75325484,75373039,75550226,75563634,75640255,75650611,75858885,76016172,76163200,76370352,76472931,76540495,76879543,77567314,77681671,77989185,78242382,78255667,78339055,78412071,78479912,78569779,78986472,79098425,79366764,79378914,79572963,79817242,79869247,80073774,80174899,80328375,80355427,80514031,80882444,80916144,80971002,81229581,81503463,81934039,82641666,82713644,83188464,84217810,84230972,84427161,84581031,84613855,84964159,85284295,85444556,85546994,85683600,85751336,85897506,85916646,85958743,86168514,86497491,87172927,87262563,87293455,87739495,87793554,88289901,88368487,88518319,88859781,89171463,89957586,90768306,90824972,90999079,91030662,91184780,91284242,91395840,91848594,92358105,92973063,93066754,93079495,93587022,93760712,93902170,94006866,94019791,94203199,94394216,94655539,94918110,94989477,95076055,96095443,96394050,96470253,96553999,97255891,97488896,97506471,98041810,98275496,98396455,98485964,98515312,98617495,98714803,99081185,99091087,...,1321033176063060420585199569449021831064212430622006049887245892146402803156819710841094588299047648051427193151323055132588249200235695553982066657371092935744158280746814277737825022996903148824199412768240736789688895444548623185352802777645445295848843067229543138963751723770054830941406584295952866167171315341619919220988927502598189821870820521284434543491646816072473296240305046054363030770622516861455818230487215880598053823603890765607084488978738481710949668125149501587180834982192627564004467011968189628708156128852191726113522875436053601939538869967970981336446596177871744948224789058510775710018965181365116396977856788360997405563376516479609787395070903940091077293644622794090132887487456308114609638081382218018403820377064025313284956913766994880297403837742424212372980256445607419095086536805502580576821469076749654032019498569659109822020031387412822693021560152215707185348582520552881027568300862837205315734406642990995578500726152352991759814243854185196153473063423672057950953607956548965616745960554983077051940969044267646700670699109811804356665424231101351011413343332901693070127661839072654156090260939740134355489063717261385988101426769520593240634390313037926977290135440169333775244925794331909685565044619245669311978067119730241750956810970038788117005673169130836376726144429016083686261586821980194452526480987495500485122031893699926977201342421868997841972051372552867241331543629273562554307780395392912507256944158330272368585954449580475441416112756924916025533148834457807356768335573369519253013350438386225786212792527785078491196239769034993972038036843183992939726327752170798149994387628552118812444760533521602341977106624850088842721845450077587727840997986349544696647253654443776393624289111512607559374647238219954158344367942443878951278397340159894358037608250220556919277148474362829418127913547649577838859127823016370431349242671162250197556261838391533194357347823024178286224692306370084407158010114774961618511450169909935474707915471934360304597691409109214956334456296243636154172934515083362586080803550048250529417049489722648811706979773747607428016653961289601025851434145365748777948683552712326648242012419861909504903902089321838213987645596080281328854740585328785931317293564459116325453505681854214151379433780007242495089989533671569329603260058586942147388989962269348565871181224772343660619696864551535595956290841058881982659766238603216845857552924847360546526835241066263849905815060952149382316519870972282621331109999919569973763134923814325196846090386624686975038523105178944439588247403006973169040452797078243420785777918645723249489477722298095175930161293976688860159193228567053162925990189400914719551324517350710777806022049641739060802524211442356468369859053081224965038324963235989144930472896475558682272665738443668617577972009118441879307543168501465631968391163072672574079203864622630129985723771380585910841255029273406579375853603178935515589775052488385737307655806360640229250931188156340597119768309219446499795714221741368642464765464809567131092407312917114936232902453079066611103422516144403345810428185835807696340025364593150617739776997687217643073739949877136105118582821224174400970669965006011424884675021945191642350097329296485213584128296644738509353940455438358148351680368905344663075290824878500103659646441701280101212346418073746022160338280157850193759300609464108983610967718413853965314492629211482260009378023717877532098734055866483324765279486763751214434791323315593509100982121532061169036609422602288035828625069039784711488914430923325360277141370706969510090257634581390855050694406080022225464553592483937091532482997368383789349814148845283240291581468376632325987810815225796750736186972523745045046667806989281952597546403675264241257400806}
23826 394153911882703499902118875485698157584471325919388728047130001007453557766409: {166733,238190,285828,309569,523886,880193,1094846,1259969,1333528,1402253,1500219,1733969,1785975,1876013,1905040,1970669,2143170,2286048,2537933,2571804,3245393,3292493,3372926,3527873,3617752,3716033,3857069,3941006,4069971,4561169,4654913,4701773,5263469,5356973,5497169,5797684,5899672,6069255,6197069,6336833,6473872,6490238,6523073,6637131,7283106,7452353,7502788,8285969,8609453,8639763,8886413,8938648,9027806,9309038,9577553,9772228,10055979,10077208,10348215,10679633,10829455,11038096,11215192,11336859,11366093,11640173,12113438,12393086,12417858,12617091,12731608,12733613,12828739,12960833,12995346,13789166,13868248,13912973,14297284,14319953,14323059,15004312,15131969,15267053,15470650,15601779,15806669,16389953,16792973,16879851,17061293,17730833,17819969,18055851,18131693,18241588,18326770,18354113,18564780,18620753,18803908,18931469,19164952,19595969,19802432,19817069,20258669,20625063,21050308,21051533,21467019,21560571,21611188,21815438,21992124,22104653,22277736,22732084,22913006,23022353,23240333,23460926,23675693,23893073,24717293,24826072,25062453,25193153,25290555,25365953,25555975,25624913,26181100,26646148,26810203,26872493,26976592,27429569,27929331,28215832,28411853,28592152,28795073,28922669,29379415,29433268,29720728,30348666,30667170,30827969,31417320,31742811,32005313,32166171,32633453,32654972,32711648,32768308,33134669,33435819,33511808,33967469,34114255,34298366,34304439,34382669,34507073,34589969,34803307,34879853,35101886,35128013,35255298,35344485,35499713,36105112,36323393,36398019,36480088,36705038,36800604,36801583,36939053,36980033,37229848,37471169,37552913,37700784,37770926,38287169,38300290,38572013,38693969,38815853,39096715,39383693,39424193,39630686,39851992,39857259,40111469,40425566,40618251,40690238,40937106,41040099,41438993,41883579,42006891,42319169,42413382,42844888,43329038,43330975,43394093,43592126,44076655,44186573,44223751,44380526,44423693,44699969,44833491,45015233,45086872,45369293,45408593,45604973,45879569,45960348,46215086,46247091,46466669,46544955,46649960,46661969,46916058,47168813,47829569,48200499,48294593,48315603,48333293,48378055,48445528,48734650,48874253,48912833,49452113,49563928,49647952,49682753,49719010,49863038,50122526,50124603,50143169,50258093,50712655,50722731,51054232,51289169,51997170,52314413,52481205,52573690,52891986,52900215,52915672,53105284,53287768,53371469,53482766,53740238,54122669,54235073,54384833,54501219,54714700,54796013,55463648,55625163,55686715,55759419,55801169,55852450,55853946,55979952,56060813,56208955,56246033,56357069,56426896,56615873,56726669,56800493,56908468,57389933,57436011,57450628,57518575,57840206,58053666,58238211,58270253,58481580,58490392,58927469,59001355,59530131,59654669,59662812,59948739,60306413,60450893,60631313,60658255,60855186,61171373,61386893,61637969,61924433,62040459,62279602,62380352,62396604,62477625,62641855,62816333,62966650,62977446,63088428,63136193,63178563,63339055,63480258,63667853,63880013,63921038,63934084,63950669,64172606,64204359,64409153,64585133,65161048,65357069,65494615,65657640,65776493,65801691,66179966,66642800,66824058,67022940,67450746,67691355,68062733,68474669,68502963,68543213,68669923,69022290,69113163,69173726,69305284,69965848,70009169,70034816,70177896,70415633,70584653,70618433,70801626,70911028,71124173,71454723,71491136,71628113,71795693,72096833,72204112,72446650,72589855,72697169,72789906,72917272,72929933,73306179,73526669,73623776,73864845,73871438,74087873,74378125,74416913,74613953,74647684,74747215,74777933,74840194,74973150,75032419,75170226,75212575,75559980,75757613,76006866,76050113,76147469,76244788,76567406,76633169,76859213,76955969,77030979,77117069,77342273,77534993,77823533,78593538,78711579,78760238,78789168,78807832,78900868,78950133,79414733,79509569,79552450,79731086,79971360,80077073,80427528,80453969,80597312,80860973,81183038,81229626,81297773,81328913,81484493,82031931,82040623,82277575,82554411,82594939,82691153,82826748,82875713,83090669,83549969,83702669,83831486,83948632,84287650,84523793,84550766,84705473,84726951,84729355,84826433,84917069,85302784,85429313,85609553,85819469,85991059,86178413,86200898,86224046,86514328,86654650,86842779,86846455,86863169,86935980,87070733,87107826,87218753,87414926,87492955,87955853,88031419,88590236,88637814,88658811,88729755,88970860,89066669,89172523,89253750,89357069,89696658,89967780,90255090,90480969,90671976,90730238,90827655,90905368,91168193,91509569,91566353,91672286,92549095,92731712,92846606,92863553,93097432,93533633,93672653,93950093,94156855,94442211,94447469,94645072,94667693,94686148,94922392,95020215,95188673,95204000,95417438,95462940,95597933,95650286,95679569,95744019,95965632,96140813,96272096,96580238,96649611,96707393,96882832,96975953,97101483,97297169,97328619,97474648,97739438,97829969,98099890,98227469,98306753,98491469,98586631,98623169,98733090,99208455,99330893,99409169,99487373,99669569,...,1981549764094590630877799354173532746596318645933009074830868838219604204735229566261641882448571472077140789726984582698882373800353543330973099986056639403616237421120221416606737534495354723236299119152361105184533343166822934778029204166468167943773264600844314708445627585655082246412109876443929299250756973012429878831483391253897284732806230781926651815237470224108709944360457569081544546155933775292183727345730823820897080735405836148410626733468107722566424502187724252380771252473288941346006700517952284443062234193278287589170284313154080402909308304951956472004669894266807617422337183587766163565028447772047674595466785182541496108345064774719414681092606355910136615940466934191135199331231184462171914457122073327027605730565596037969927435370650492320446105756613636318559470384668411128642629805208253870865232203615124481048029247854488664733030047081119234039532340228323560778022873780829321541352451294255807973601609964486493367751089228529487639721365781277794230209595135508086926430411934823448425118940832474615577911453566401470051006048664717706534998136346652026517120014999352539605191492758608981234135391409610201533233595575892078982152140154280889860951585469556890465935203160254000662867388691497864528347566928868503967967100679595362626435216455058182175508509753696254565089216643524125529392380232970291678789721481243250727683047840549890465802013632803496762958077058829300861997315443910343831461670593089368760885416237495408552878931674370713162124169135387374038299723251686711035152503360054278879520025657579338679319188791677617736794359653552490958057055264775989409589491628256197224991581442828178218667140800282403512965659937275133264082768175116381591761496979524317044970880481665664590436433667268911339061970857329931237516551913665818426917596010239841537056412375330835378915722711544244127191870321474366758288691734524555647023864006743375296334392757587299791536021734536267429337038459555126610737015172162442427767175254864903212061873207901540456896537113663822434501684444365454231259401772625043879121205325072375794125574234583973217560469660621411142024980941934401538777151218048623166923025329068489972363018629792864257355853133982757320981468394120421993282110877993178896975940346688674488180258522781321227069150670010863742634984300507353994404890087880413221083484943404022848806771837158515490929545296827303393934436261588322973989649357904825268786329387271040819790252861599395774858722591428224073474779806458423931996664999879354960644702385721487795269135579937030462557784657768416659382371104510459753560679195617365131178666877968584874234216583447142763895241940965033290238789842850579744388985284101372079326986776026066166709033074462608591203786317163534702554788579621837447557487444853983717395709344713338023408998607665502926366958013677662818961314752752198447952586744609008861118805796933945194978585657070878866261882543910109869063780404768403273384662578732578605961483709540960343876396782234510895679652463829169749693571332612052963697148197214350696638610969375672404349353679618599916655133774216605018715642278753711544510038046889725926609665496530826464610609924815704157677874231836261601456004947509017137327012532917787463525145993944727820376192444967107764030910683157537222527520553358016994612936237317750155489469662551920151818519627110619033240507420236775290638950914196163475416451577620780947971738943817223390014067035576816298148101083799724987147919230145626821652186984973390263651473182298091753554914133903432053742937603559677067233371646384988040415712056060454265135386451872086282576041609120033338196830388725905637298724496052575684024721223267924860437372202564948488981716222838695126104280458785617567570001710483922928896319605512896361886101209}
23827 395542748548898871916493116063412974858791731644831116052161472154513923699672: {23827,357285,381104,428742,785829,1166837,1642269,1666910,2000292,2381300,2857560,3048064,3165533,3214755,3429072,3857706,4022369,4522190,5059389,5162213,5426628,5664638,5911509,6807086,7247105,7374590,7821317,8092340,8587829,8696526,8817557,8849508,9378485,9658334,9710808,9735357,9813293,10924659,11140157,11173310,11244629,11254182,11519684,12134717,12215285,12596510,12671009,13128773,13407972,13541709,13797620,13963557,14018990,14225822,14521637,14658342,14953217,15115812,15367694,15914510,16371329,16557144,16769333,16822788,16950149,17327128,17335310,17373677,17871605,18170157,18514493,18589629,18626787,18755390,18836129,19065629,19097412,19493019,20225717,20683637,20683749,20802372,21218573,21366533,21443246,21445926,21722813,21914789,22506468,22530209,22801985,23205975,23499629,23504885,23604518,23956190,24074468,24575078,24688853,24753040,25018133,25308173,25495553,26005637,26312885,27013985,27043277,27362382,27490155,27500084,27522773,27705326,27847170,28205862,28415105,28622692,28747428,29322832,29703648,30222293,31032590,31575462,31591973,31662749,31713182,31876526,31920077,32416782,32517857,32576117,32723157,32726375,32988186,33093533,33131198,33307685,33311429,33416604,33720740,34098126,34369509,34870493,35003078,35191389,35269790,35740190,36202133,36437102,36791585,37086566,37150910,37239108,37489277,37781477,37970078,38128046,39009749,39107237,39271650,39451013,39969222,39976094,40108829,40464888,40818715,40889560,40960385,41289077,41858909,41889760,42168737,42323748,42389837,42888228,43368437,43441958,43825886,43897109,44149902,44581092,44672453,44813246,45131390,45522999,45600110,45739252,46000755,46301213,46450469,46537310,46626797,47007064,47125980,47838542,48530692,48982458,49067472,49152462,49251278,49373534,49814990,50151629,50267712,51179093,51447549,52652829,52882947,53143012,53240774,53556110,54081998,54157668,54340229,54582808,54720132,55057557,55200906,55608449,55844772,55934573,56009188,56358590,56551176,56656389,57015917,57450435,57873629,58312450,58655909,58932053,59239982,59446029,59777988,60380126,60556910,60638349,61035357,61220117,61280464,61405659,61615613,61662788,61954910,62059940,62309813,62509829,62554744,63178598,63620073,63802613,63817790,64267332,64420804,64438502,64743029,64993557,65156093,65388189,66144590,66181478,66381605,66570789,66609710,66617246,66832804,67630308,68002373,68393375,68940522,68956853,69160517,69198758,69322629,69329560,69974940,70374087,70522648,70533620,71135585,71362478,71426849,71723333,71773694,71813285,72048398,72668292,72706433,72985982,73101975,73112990,73455053,74166884,74345892,74471928,74578515,74639936,74794557,74880929,75183789,75700037,76581348,76886069,77404888,77650948,77975440,77995755,78012926,78576413,78608486,78703937,78860535,79337979,79373508,79389893,79542197,79550416,79657926,79823966,79917605,79931652,80038373,80224149,80362229,80610357,81140248,81253253,81451310,81460253,82072050,82571198,82720612,82814438,83057093,83195472,83303500,83710766,83778675,83780919,83969928,84117904,84238084,84640344,84649613,84756737,84772478,85290317,85362702,85605812,86175942,86570549,86631605,86760309,87080499,87180293,87457310,87543520,87722370,87735588,88157573,88525793,88638785,88685534,89098744,89265629,89363920,89494218,89934328,90255140,90271157,90559142,91146590,91282779,91337284,91670462,91800833,92029720,92150884,92594558,92608733,93184853,93309605,93419403,93570528,93594906,94106606,94211153,94402168,94449975,94466169,94632642,95220387,95272964,95305985,95881557,95901126,96258909,96415277,96831137,97053208,97741572,98342549,98486460,98509790,98626085,98798477,98993537,99263846,99269949,99964200,...,2642066352126120841170399138898043662128424861244012099774491784292805606313639421682189176598095296102854386302646110265176498400471391107964133314742185871488316561493628555475650045993806297648398825536481473579377790889097246370705605555290890591697686134459086277927503447540109661882813168591905732334342630683239838441977855005196379643741641042568869086983293632144946592480610092108726061541245033722911636460974431761196107647207781531214168977957476963421899336250299003174361669964385255128008934023936379257416312257704383452227045750872107203879077739935941962672893192355743489896449578117021551420037930362730232793955713576721994811126753032959219574790141807880182154587289245588180265774974912616229219276162764436036807640754128050626569913827533989760594807675484848424745960512891214838190173073611005161153642938153499308064038997139318219644040062774825645386043120304431414370697165041105762055136601725674410631468813285981991157001452304705983519628487708370392306946126847344115901907215913097931233491921109966154103881938088535293401341398219623608713330848462202702022826686665803386140255323678145308312180521879480268710978127434522771976202853539041186481268780626075853954580270880338667550489851588663819371130089238491338623956134239460483501913621940077576234011346338261672753452288858032167372523173643960388905052961974991000970244063787399853954402684843737995683944102745105734482663087258547125108615560790785825014513888316660544737171908899160950882832225513849832051066297668915614713536671146739038506026700876772451572425585055570156982392479538069987944076073686367985879452655504341596299988775257104237624889521067043204683954213249700177685443690900155175455681995972699089393294507308887552787248578223025215118749294476439908316688735884887757902556794680319788716075216500441113838554296948725658836255827095299155677718255646032740862698485342324500395112523676783066388714695646048356572449384612740168814316020229549923237022900339819870949415830943868720609195382818218429912668912592487272308345869030166725172161607100096501058834098979445297623413959547495214856033307922579202051702868290731497555897367105424653296484024839723819009807804178643676427975291192160562657709481170657571862634587128918232650907011363708428302758867560014484990179979067343138659206520117173884294777979924538697131742362449544687321239393729103071191912581682117763965319532477206433691715105849694721093053670482132527699811630121904298764633039741944565242662219999839139947526269847628650393692180773249373950077046210357888879176494806013946338080905594156486841571555837291446498978955444596190351860322587953377720318386457134106325851980378801829439102649034701421555612044099283478121605048422884712936739718106162449930076649926471978289860945792951117364545331476887337235155944018236883758615086337002931263936782326145345148158407729245260259971447542761171821682510058546813158751707206357871031179550104976771474615311612721280458501862376312681194239536618438892999591428443482737284929530929619134262184814625834229872465804906158133222206845032288806691620856371671615392680050729186301235479553995374435286147479899754272210237165642448348801941339930012022849769350043890383284700194658592970427168256593289477018707880910876716296703360737810689326150581649757000207319292883402560202424692836147492044320676560315700387518601218928217967221935436827707930628985258422964520018756047435755064197468111732966649530558973527502428869582646631187018201964243064122338073218845204576071657250138079569422977828861846650720554282741413939020180515269162781710101388812160044450929107184967874183064965994736767578699628297690566480583162936753264651975621630451593501472373945047490090093335613978563905195092807350528482514801612}
23828 396936447173618633662415453085737935832047384405691241653581096501037906367704: {333466,476380,571656,619138,643113,1047772,1449787,1591987,1760386,2189692,2500365,2519938,2585371,2667056,2804506,2976625,3000438,3292771,3467938,3571950,3575227,3716347,3752026,3810080,3941338,4286340,4572096,4702171,5075866,5143608,5404171,5786559,6383947,6490786,6584986,6745852,6783285,7055746,7235504,7432066,7714138,7777507,7882012,8139942,8496957,9122338,9302107,9309826,9403546,10115425,10210629,10526938,10680547,10713946,10994338,11061885,11595368,11799344,12138510,12394138,12673666,12947744,12980476,13044789,13046146,13274262,13415827,13959427,14366371,14399605,14487501,14566212,14637307,14904706,15005576,15161237,15313387,16571938,16759965,16881273,17218906,17247025,17279526,17464747,17732371,17772826,17877296,18055612,18133267,18618076,18666787,18894765,19155106,19544456,20111958,20154416,20696430,20789347,21028485,21338733,21359266,21658910,21987513,22076192,22106587,22430384,22673718,22732186,23051541,23280346,23285947,23871765,23938627,24226876,24719467,24786172,24835716,25234182,25463216,25467226,25627171,25657478,25921666,25990692,26002965,27578332,27736496,27825946,28133085,28594568,28639906,28646118,28840171,29222707,29858827,30008624,30093085,30263938,30534106,30941300,30999307,31203558,31613338,32164869,32168889,32385307,32636371,32779906,33585946,33759702,34122586,34375105,34510171,35406777,35461666,35639938,35778365,35934285,36111702,36263386,36483176,36653540,36708226,36737347,36862617,36983371,37129560,37241506,37597171,37607816,37862938,38329904,39184627,39191938,39427771,39604864,39634138,39670627,40276507,40517338,41001187,41043573,41131181,41250126,41557989,41770755,42100616,42103066,42150925,42308793,42934038,43121142,43222376,43398067,43630876,43873987,43984248,44209306,44230171,44555472,45412771,45464168,45826012,46044706,46480666,46548885,46921852,47173171,47351386,47363193,47569773,47759957,47786146,47814789,48337771,48569827,48625173,48917371,48933973,49434586,49482279,49652144,49696797,49725787,50124906,50301067,50386306,50415907,50581110,50731906,51111950,51147189,51249826,52129867,52264433,52362200,52504617,52904685,53292296,53610285,53620406,53744986,53953184,54277627,54655653,54735401,54859138,55509187,55629849,55726365,55858662,56288371,56431664,56510347,56823706,56842771,56955117,57174065,57174547,57184304,57192069,57590146,57845338,58275787,58758830,58823707,58866536,58907475,59441456,59953833,59964141,60663365,60697332,61334340,61655938,61707317,61966147,62822371,62834640,63485622,63886171,64010626,64332342,64415371,64626547,65162937,65266906,65309944,65423296,65536616,65738829,65782867,66224853,66269338,66305587,66428765,66514171,66871638,67023616,67219869,67697085,67729277,67862947,67934938,68069371,68228510,68400165,68596732,68608878,68765338,69014146,69179938,69606614,69759706,69805965,70011485,70203772,70256026,70510596,70625371,70688970,70997717,70999426,71757813,71836267,72137371,72210224,72646786,72796038,72960176,73410076,73473687,73601208,73603166,73728693,73876917,73878106,73960066,74060301,74459696,74722485,74916427,74942338,75105826,75112771,75401568,75541852,76574338,76600580,77078485,77144026,77387938,77574925,77631706,77961401,78193430,78692537,78767386,78788587,78848386,79261372,79703984,79714518,79738627,79861161,80116627,80222938,80334165,80526005,80851132,81056587,81122997,81236502,81337171,81380476,81874212,82080198,82601897,82730371,82801359,82877986,82914907,83541005,83767158,83924707,84013782,84380827,84537885,84562771,84638338,84826764,84835147,84921557,85689776,86097667,86187307,86658076,86661950,86788186,87184252,87257371,87468675,87698597,87876787,88153310,88167025,88317067,88373146,88404907,88447502,88674677,88755547,88761052,88847386,88859973,89399938,89666982,90030466,90173744,90570189,90738586,90749371,90817186,90835365,91209946,91692461,91759138,91920696,92430172,92494182,92708605,92873371,92932365,92933338,93089910,93299920,93323938,93710371,93832116,94337626,94767897,95659138,95726685,96400998,96421387,96589186,96631206,96657753,96666586,96756110,96891056,97063685,97469300,97748506,97825666,98817907,98904226,99127856,99216885,99272217,99295904,99365506,99438020,99726076,99914107,99914565,99925869,...,3963099528189181261755598708347065493192637291866018149661737676439208409470459132523283764897142944154281579453969165397764747600707086661946199972113278807232474842240442833213475068990709446472598238304722210369066686333645869556058408332936335887546529201688629416891255171310164492824219752887858598501513946024859757662966782507794569465612461563853303630474940448217419888720915138163089092311867550584367454691461647641794161470811672296821253466936215445132849004375448504761542504946577882692013401035904568886124468386556575178340568626308160805818616609903912944009339788533615234844674367175532327130056895544095349190933570365082992216690129549438829362185212711820273231880933868382270398662462368924343828914244146654055211461131192075939854870741300984640892211513227272637118940769336822257285259610416507741730464407230248962096058495708977329466060094162238468079064680456647121556045747561658643082704902588511615947203219928972986735502178457058975279442731562555588460419190271016173852860823869646896850237881664949231155822907132802940102012097329435413069996272693304053034240029998705079210382985517217962468270782819220403066467191151784157964304280308561779721903170939113780931870406320508001325734777382995729056695133857737007935934201359190725252870432910116364351017019507392509130178433287048251058784760465940583357579442962486501455366095681099780931604027265606993525916154117658601723994630887820687662923341186178737521770832474990817105757863348741426324248338270774748076599446503373422070305006720108557759040051315158677358638377583355235473588719307104981916114110529551978819178983256512394449983162885656356437334281600564807025931319874550266528165536350232763183522993959048634089941760963331329180872867334537822678123941714659862475033103827331636853835192020479683074112824750661670757831445423088488254383740642948733516577383469049111294047728013486750592668785515174599583072043469072534858674076919110253221474030344324884855534350509729806424123746415803080913793074227327644869003368888730908462518803545250087758242410650144751588251148469167946435120939321242822284049961883868803077554302436097246333846050658136979944726037259585728514711706267965514641962936788240843986564221755986357793951880693377348976360517045562642454138301340021727485269968601014707988809780175760826442166969886808045697613543674317030981859090593654606787868872523176645947979298715809650537572658774542081639580505723198791549717445182856448146949559612916847863993329999758709921289404771442975590538271159874060925115569315536833318764742209020919507121358391234730262357333755937169748468433166894285527790483881930066580477579685701159488777970568202744158653973552052132333418066148925217182407572634327069405109577159243674895114974889707967434791418689426676046817997215331005852733916027355325637922629505504396895905173489218017722237611593867890389957171314141757732523765087820219738127560809536806546769325157465157211922967419081920687752793564469021791359304927658339499387142665224105927394296394428701393277221938751344808698707359237199833310267548433210037431284557507423089020076093779451853219330993061652929221219849631408315355748463672523202912009895018034274654025065835574927050291987889455640752384889934215528061821366315074445055041106716033989225872474635500310978939325103840303637039254221238066481014840473550581277901828392326950832903155241561895943477887634446780028134071153632596296202167599449974295838460291253643304373969946780527302946364596183507109828267806864107485875207119354134466743292769976080831424112120908530270772903744172565152083218240066676393660777451811274597448992105151368049442446535849720874744405129896977963432445677390252208560917571235135140003420967845857792639211025792723772202418}
23829 398335024666859664610053166501000271581915125142118211798926655949645142879722: {47654,500199,595475,714570,762208,857484,928707,1309715,1571658,2333674,2640579,2737115,3284538,3333820,3779907,4000584,4206759,4450787,4500657,4762600,5201907,5357925,5628039,5715120,5912007,6096128,6331066,6429510,6858144,7588691,7613799,7715412,8044738,8432315,9044380,9301499,9736179,9852515,9877479,10118778,10145947,10324426,10583619,10853256,11148099,11329276,11571207,11823018,12209913,13129879,13289107,13614172,13683507,13964739,14105319,14494210,14749180,15642634,15790407,16070919,16184680,16225595,16491507,16712419,17101399,17175658,17393052,17635114,17699016,18207765,18546407,18591207,18756970,19010499,19316668,19417639,19421616,19470714,19569219,19626586,19911393,21849318,22280314,22346620,22357059,22489258,22508364,22532107,22569515,22840087,23039368,23272595,23824259,24269434,24430570,24857907,25020247,25193020,25342018,25828359,25919289,26257546,26659239,26815944,27083418,27253867,27595240,27927114,28037980,28451644,28655387,28732659,28954907,29043274,29316684,29906434,29909659,30167937,30224839,30231624,30283595,30735388,30982715,31044645,31829020,31922779,32038899,32224679,32375339,32488365,32742658,32906839,33114288,33538666,33645576,33900298,34010577,34098279,34132967,34472915,34654256,34670620,34747354,34920519,35743210,36340314,36499139,36838039,37028986,37179258,37253574,37510780,37672258,37819579,37851273,38131258,38194824,38200839,38486217,38676625,38793491,38882499,38986038,39110539,39781147,39918707,40451434,40620851,41367274,41367498,41604744,41738919,42437146,42733066,42784339,42886492,42891852,42959859,42969177,43445626,43829578,43900807,45012936,45060418,45395907,45603970,45748907,45801159,45816925,46411950,46630759,46805337,46999258,47009770,47209036,47420007,47912380,48148936,49150156,49169859,49377706,49506080,49640327,50036266,50378919,50616346,50639553,50991106,51183879,51508219,52011274,52625770,53192499,53459907,54027970,54086554,54167553,54395079,54538595,54724764,54980310,55000168,55045546,55062339,55410652,55694340,55862259,56411724,56794407,56830210,57146201,57245384,57282515,57344539,57494856,58087831,58645664,58652315,58787907,59270107,59407296,59451207,59938379,60444586,60776007,61875189,62065180,62515111,63150924,63154599,63183946,63325498,63426364,63753052,63840154,64065019,64401057,64681713,64833564,65035714,65068487,65152234,65446314,65452750,65976372,66187066,66262396,66313959,66606947,66615370,66622858,66833208,67441480,68196252,68334439,68396107,68739018,69067059,69681491,69720999,69740986,70006156,70382778,70539580,71027079,71480380,71679219,71915219,72404266,72752867,72874204,73583170,74151879,74173132,74301820,74478216,74581019,74978554,75187359,75562954,75579459,75871665,75940156,76097859,76256092,76667925,76874739,77622299,78019498,78214474,78543300,78902026,79938444,79952188,80045131,80217658,80430609,80617479,80929776,81260131,81637430,81779120,81920770,82288707,82578154,83717818,83779520,83787993,84337474,84647496,84763939,84779674,85235559,85745915,85776456,86385219,86736874,86768007,86883916,87651772,87754715,87794218,88138245,88299804,89162184,89344906,89626492,89918531,90262780,90278779,91045998,91200220,91478504,91762595,92001510,92483907,92602426,92639591,92900938,92934247,93074620,93192727,93253594,93824419,94013099,94014128,94035707,94251960,94427315,94608391,95228433,95677084,95750725,96015939,96498513,97061384,97272359,97900359,97964916,98087867,98134944,98304924,98502556,98747068,98806819,99076715,99404007,99589819,99629980,...,5944649292283771892633398062520598239788955937799027224492606514658812614205688698784925647345714416231422369180953748096647121401060629992919299958169918210848712263360664249820212603486064169708897357457083315553600029500468804334087612499404503831319793802532944125336882756965246739236329629331787897752270919037289636494450173761691854198418692345779955445712410672326129833081372707244633638467801325876551182037192471462691242206217508445231880200404323167699273506563172757142313757419866824038020101553856853329186702579834862767510852939462241208727924914855869416014009682800422852267011550763298490695085343316143023786400355547624488325035194324158244043277819067730409847821400802573405597993693553386515743371366219981082817191696788113909782306111951476961338317269840908955678411154005233385927889415624761612595696610845373443144087743563465994199090141243357702118597020684970682334068621342487964624057353882767423920804829893459480103253267685588462919164097343833382690628785406524260779291235804470345275356822497423846733734360699204410153018145994153119604994409039956079551360044998057618815574478275826943702406174228830604599700786727676236946456420462842669582854756408670671397805609480762001988602166074493593585042700786605511903901302038786087879305649365174546526525529261088763695267649930572376588177140698910875036369164443729752183049143521649671397406040898410490288874231176487902585991946331731031494385011779268106282656248712486225658636795023112139486372507406162122114899169755060133105457510080162836638560076972738016037957566375032853210383078960657472874171165794327968228768474884768591674974744328484534656001422400847210538896979811825399792248304525349144775284490938572951134912641444996993771309301001806734017185912571989793712549655740997455280752788030719524611169237125992506136747168134632732381575610964423100274866075203573666941071592020230125889003178272761899374608065203608802288011115378665379832211045516487327283301525764594709636185619623704621370689611340991467303505053333096362693778205317875131637363615975217127382376722703751919652681408981864233426074942825803204616331453654145869500769075987205469917089055889378592772067559401948271962944405182361265979846332633979536690927821040066023464540775568343963681207452010032591227904952901522061983214670263641239663250454830212068546420315511475546472788635890481910181803308784764968921968948073714475806358988161813122459370758584798187324576167774284672220424339419375271795989994999638064881934107157164463385807406739811091387673353973305249978147113313531379260682037586852095393536000633905754622702649750341428291685725822895099870716369528551739233166955852304116237980960328078198500127099223387825773611358951490604107664365738865512342672462334561951152187128034140014070226995822996508779100874041032988456883944258256595343857760233827026583356417390801835584935756971212636598785647631730329607191341214305209820153987736197735817884451128622881031629190346703532687038957391487509249080713997836158891091444591643052089915832908127017213048061038855799749965401322649815056146926836261134633530114140669177779828996489592479393831829774447112473033622695508784804368014842527051411981037598753362390575437981834183461128577334901323292092732049472611667582561660074050983838808711953250466468408987655760455455558881331857099721522260710325871916852742588490426249354732862342843915216831451670170042201106730448894444303251399174961443757690436880464956560954920170790954419546894275260664742401710296161228812810679031201700114939154964121247136168181362795406159355616258847728124827360100014590491166177716911896173488157727052074163669803774581312116607694845466945148668516085378312841376356852702710005131451768786688958816538689085658303627}
23830 399738497997050146227252582142179775824901110493602425819119730401388001204176: {71481,262009,404821,666932,690229,952760,975349,1071855,1143312,1238276,1286226,1971001,2095544,2112949,2357487,2899574,3183974,3500511,3520772,3951721,4167275,4379384,4655701,4926807,5000730,5039876,5170742,5334112,5357881,5609012,5953250,6000876,6198121,6337909,6585542,6617269,6896341,6935876,7143900,7150454,7432694,7504052,7620160,7882676,8572680,8980201,9144192,9404342,9496599,9644265,10084969,10151732,10287216,10773109,10808342,11305475,11459449,11573118,11733481,11870389,12067107,12767894,12981572,13169972,13491704,13566570,14111492,14161595,14471008,14864132,14864149,15178167,15428276,15486639,15555014,15764024,16279884,16993914,17017715,17153641,17734527,17823061,18244676,18436475,18604214,18619652,18623989,18807092,19023481,19687861,20159447,20230850,20350441,20421258,21053876,21275029,21361094,21427892,21741315,21801781,21988676,22123770,22196089,22327381,23113621,23190736,23244409,23463951,23598688,24145835,24157909,24277020,24788276,24808249,25067881,25197589,25347332,25763487,25895488,25960952,26089578,26092292,26103529,26452671,26548524,26831654,26877241,27005941,27520021,27918854,27933275,28135455,28416889,28732742,28799210,28975002,29055349,29132424,29206071,29274614,29439879,29692009,29809412,30011152,30322474,30580309,30626774,31491275,32094901,32220649,32773977,33098869,33143876,33224041,33420471,33519930,33733887,33762546,33973561,34437812,34494050,34559052,34596181,34720489,34929494,34968889,35047475,35217001,35464742,35545652,35564555,35588629,35754592,36111224,36266534,36329941,36404151,36645855,37236152,37333574,37559701,37789530,38013027,38049589,38310212,38419235,39088912,39386319,39786275,40223916,40308832,40625127,41392860,41578694,41687029,41890671,42056970,42130319,42646069,42677466,42718532,43243129,43317820,43338275,43564911,43975026,44152384,44194681,44213174,44859651,44860768,44905321,45347436,45464372,46103082,46201429,46560692,46571894,46888475,47743530,47838421,47877254,48125147,48419641,48453752,48883321,48999061,49113987,49438934,49572344,49671432,49691989,50089711,50267449,50307999,50468364,50850447,50926432,50934452,51254342,51314956,51641209,51843332,51869161,51981384,52005930,52121031,52324201,53608115,53614815,54510471,54690911,55156664,55365589,55472992,55543479,55651892,55768887,55880361,56266170,56508387,56811241,57189136,57196887,57279812,57292236,57584629,57680342,57804949,57831059,58445414,58479057,59011295,59230009,59717654,59890475,60017248,60186170,60527876,60677151,60859189,61068212,61183081,61437695,61721461,61882600,61998614,62050911,62051247,62407116,62899561,63219349,63226676,63655719,63963001,64099599,64329738,64337778,64770614,64913941,65168439,65272742,65439721,65559812,65744367,65859049,66068281,67171892,67519404,67590627,68144761,68245172,68405955,68556601,68750210,69020342,69263315,69274549,69617925,70497109,70498887,70514655,70813554,70923332,71279876,71556730,71709301,71868570,72223404,72511669,72526772,72966352,73307080,73416452,73474694,73725234,73966742,74066559,74259120,74483012,74497429,75054399,75194342,75215632,75577321,75725876,75772729,75924519,76486659,76648501,76659808,76939129,77422069,77581475,77903209,77999221,78016911,78369254,78383876,78855542,78938655,79145749,79209728,79268276,79282955,79341254,79691315,80043691,80553014,80564329,80752249,81034676,81041955,81129831,81407701,82002374,82087146,82262362,82470465,82500252,82568319,82827995,83115978,83260981,83352889,83536489,83541510,83811349,84201232,84206132,84301850,84617586,84928711,85085461,85245315,85446901,85627189,85868076,86242284,86255929,86345461,86444752,86796134,87261752,87507695,87747974,87968496,88174475,88418612,88460342,89110944,89172469,89350475,89520661,89781049,90644329,90666879,90825542,90928336,91092755,91244341,91329769,91585621,91652024,92089412,92349289,92716415,92877275,92961332,93000271,93023209,93097770,93190969,93843704,94346342,94702772,94726386,94775919,94925195,94988247,95139546,95263669,95320115,95345641,95509369,95519914,95572292,95629578,95760231,96675542,97139654,97250346,97371541,97553571,97728351,97834742,97867946,98016079,98169471,98179125,98327989,98869172,98964558,99280599,99304288,99352441,99393594,99451574,99743221,99923055,99934287,99940235,...,7926199056378362523511197416694130986385274583732036299323475352878416818940918265046567529794285888308563158907938330795529495201414173323892399944226557614464949684480885666426950137981418892945196476609444420738133372667291739112116816665872671775093058403377258833782510342620328985648439505775717197003027892049719515325933565015589138931224923127706607260949880896434839777441830276326178184623735101168734909382923295283588322941623344593642506933872430890265698008750897009523085009893155765384026802071809137772248936773113150356681137252616321611637233219807825888018679577067230469689348734351064654260113791088190698381867140730165984433380259098877658724370425423640546463761867736764540797324924737848687657828488293308110422922262384151879709741482601969281784423026454545274237881538673644514570519220833015483460928814460497924192116991417954658932120188324476936158129360913294243112091495123317286165409805177023231894406439857945973471004356914117950558885463125111176920838380542032347705721647739293793700475763329898462311645814265605880204024194658870826139992545386608106068480059997410158420765971034435924936541565638440806132934382303568315928608560617123559443806341878227561863740812641016002651469554765991458113390267715474015871868402718381450505740865820232728702034039014785018260356866574096502117569520931881166715158885924973002910732191362199561863208054531213987051832308235317203447989261775641375325846682372357475043541664949981634211515726697482852648496676541549496153198893006746844140610013440217115518080102630317354717276755166710470947177438614209963832228221059103957638357966513024788899966325771312712874668563201129614051862639749100533056331072700465526367045987918097268179883521926662658361745734669075645356247883429319724950066207654663273707670384040959366148225649501323341515662890846176976508767481285897467033154766938098222588095456026973501185337571030349199166144086938145069717348153838220506442948060688649769711068701019459612848247492831606161827586148454655289738006737777461816925037607090500175516484821300289503176502296938335892870241878642485644568099923767737606155108604872194492667692101316273959889452074519171457029423412535931029283925873576481687973128443511972715587903761386754697952721034091125284908276602680043454970539937202029415977619560351521652884333939773616091395227087348634061963718181187309213575737745046353291895958597431619301075145317549084163279161011446397583099434890365712896293899119225833695727986659999517419842578809542885951181076542319748121850231138631073666637529484418041839014242716782469460524714667511874339496936866333788571055580967763860133160955159371402318977555941136405488317307947104104264666836132297850434364815145268654138810219154318487349790229949779415934869582837378853352093635994430662011705467832054710651275845259011008793791810346978436035444475223187735780779914342628283515465047530175640439476255121619073613093538650314930314423845934838163841375505587128938043582718609855316678998774285330448211854788592788857402786554443877502689617397414718474399666620535096866420074862569115014846178040152187558903706438661986123305858442439699262816630711496927345046405824019790036068549308050131671149854100583975778911281504769779868431056123642732630148890110082213432067978451744949271000621957878650207680607274078508442476132962029680947101162555803656784653901665806310483123791886955775268893560056268142307265192592404335198899948591676920582507286608747939893561054605892729192367014219656535613728214971750414238708268933486585539952161662848224241817060541545807488345130304166436480133352787321554903622549194897984210302736098884893071699441749488810259793955926864891354780504417121835142470270280006841935691715585278422051585447544404836}
23831 401146884191250154628847373675911210112093088120693852787046286551516426428426: {23831,95308,833665,1000398,1190950,1429140,1524416,1547845,1714968,1833601,1857414,1929339,2619430,3143316,3831961,4349361,4400965,4667348,4775961,4974409,5260021,5281158,5474230,6299845,6569076,6667640,7011265,7501095,7559814,7756113,8001168,8112049,8413518,8669845,8901574,8929875,8968453,9001314,9380065,9525200,9853345,9878313,10395793,10403814,10715850,10725681,11149041,11256078,11430240,11805241,11824014,12192256,12290641,12662132,12689665,12859020,13716288,13793521,13856161,14106513,15177382,15227598,15420889,15430824,16089476,16212513,16226965,16462465,16569781,16864630,17359677,17505961,17639365,18088760,18580165,18602998,18989833,19068841,19151841,19285345,19472358,19705030,19754958,19993093,20237556,20291894,20349855,20630929,20648852,21167238,21408661,21706512,21918481,22296198,22412281,22658552,22715833,22805845,23142414,23274565,23332521,23508865,23646036,24419826,24631861,25490871,25685641,26259758,26317345,26351809,26578214,26627113,26784865,27047833,27228344,27367014,27485845,27906321,27929478,28210638,28251829,28657801,28988420,29462581,29498360,30346275,30631887,30985345,31285268,31580814,31597321,31684165,32026609,32041641,32141838,32369360,32451190,32581633,32615365,32983014,33185655,33317041,33424838,34135849,34202798,34351316,34608121,34786104,35270228,35398032,36033301,36415530,36584881,37092814,37182414,37261765,37513940,38020998,38633336,38796769,38835278,38843232,38941428,39016321,39134367,39138438,39253172,39314209,39822786,40247481,40338961,40624273,40866001,41296033,41429845,41865961,41878281,41997829,42397033,43047265,43099113,43198815,43375801,43422289,43462503,43698636,43911921,44432065,44560628,44693240,44714118,44978516,45016728,45064214,45139030,45483711,45680174,45752761,45846853,45940161,46078736,46545190,46556101,47648518,47887765,47980561,48262081,48538868,48552793,48861140,49644529,49715814,50040494,50160121,50279895,50386040,50643819,50684036,51140233,51191041,51656718,51741075,51838578,52394241,52515092,53197113,53318478,53398165,53631888,54147275,54166836,54399801,54507734,54796489,55143733,55190480,55854228,56000361,56075960,56684295,56830465,56903288,57091633,57310774,57465318,57909814,58086548,58200865,58633368,58665841,58911721,59812868,59819318,60335874,60449678,60463248,60567190,60742921,61470776,61965430,61994449,62089290,62368041,63085455,63658040,63668065,63845558,64016199,64077798,64143695,64449358,64750678,64804165,64976730,65485316,65813678,65962539,66228576,66319761,66612601,66989953,67077332,67291152,67800596,68021154,68150401,68196558,68265934,68945830,69046009,69154623,69308512,69341240,69494708,69564865,69841038,69857841,70199569,71338801,71486420,71599765,71615295,71815881,72680628,72718741,72759049,72998278,73270681,73676078,74057972,74158401,74169313,74358516,74507148,74587321,75021560,75344516,75639158,75659845,75669793,75702546,76262516,76335265,76354033,76389648,76401678,76703881,76881513,76899121,76972434,77353250,77586982,77628853,77764998,77972076,78008895,78221078,78717301,79033345,79562294,79837414,80195521,80375833,80424289,80902868,81241702,81949765,82113241,82350853,82734548,82734996,82975561,83209488,83477838,83964865,84399255,84663961,84874292,85306465,85466132,85568678,85772984,85783704,85919718,85938354,85980661,86520513,86891252,87659156,87668121,87801614,88654165,89099845,89576481,89596441,89926129,90025872,90120836,90279255,90658465,90791814,91207940,91497814,91602318,91633850,91770565,92823900,92997921,93103765,93261518,93404341,93610674,93776833,93998516,94019540,94418072,94657345,94840014,95385553,95824760,96119809,96203041,96297872,96494607,96506667,97155921,97280593,97909113,97979845,98096149,98300312,98339718,98359201,98755412,99012160,99085345,99280654,...,11889298584567543785266796125041196479577911875598054448985213029317625228411377397569851294691428832462844738361907496193294242802121259985838599916339836421697424526721328499640425206972128339417794714914166631107200059000937608668175224998809007662639587605065888250673765513930493478472659258663575795504541838074579272988900347523383708396837384691559910891424821344652259666162745414489267276935602651753102364074384942925382484412435016890463760400808646335398547013126345514284627514839733648076040203107713706658373405159669725535021705878924482417455849829711738832028019365600845704534023101526596981390170686632286047572800711095248976650070388648316488086555638135460819695642801605146811195987387106773031486742732439962165634383393576227819564612223902953922676634539681817911356822308010466771855778831249523225191393221690746886288175487126931988398180282486715404237194041369941364668137242684975929248114707765534847841609659786918960206506535371176925838328194687666765381257570813048521558582471608940690550713644994847693467468721398408820306036291988306239209988818079912159102720089996115237631148956551653887404812348457661209199401573455352473892912840925685339165709512817341342795611218961524003977204332148987187170085401573211023807802604077572175758611298730349093053051058522177527390535299861144753176354281397821750072738328887459504366098287043299342794812081796820980577748462352975805171983892663462062988770023558536212565312497424972451317273590046224278972745014812324244229798339510120266210915020160325673277120153945476032075915132750065706420766157921314945748342331588655936457536949769537183349949488656969069312002844801694421077793959623650799584496609050698289550568981877145902269825282889993987542618602003613468034371825143979587425099311481994910561505576061439049222338474251985012273494336269265464763151221928846200549732150407147333882143184040460251778006356545523798749216130407217604576022230757330759664422091032974654566603051529189419272371239247409242741379222681982934607010106666192725387556410635750263274727231950434254764753445407503839305362817963728466852149885651606409232662907308291739001538151974410939834178111778757185544135118803896543925888810364722531959692665267959073381855642080132046929081551136687927362414904020065182455809905803044123966429340527282479326500909660424137092840631022951092945577271780963820363606617569529937843937896147428951612717976323626244918741517169596374649152335548569344440848678838750543591979989999276129763868214314328926771614813479622182775346707946610499956294226627062758521364075173704190787072001267811509245405299500682856583371451645790199741432739057103478466333911704608232475961920656156397000254198446775651547222717902981208215328731477731024685344924669123902304374256068280028140453991645993017558201748082065976913767888516513190687715520467654053166712834781603671169871513942425273197571295263460659214382682428610419640307975472395471635768902257245762063258380693407065374077914782975018498161427995672317782182889183286104179831665816254034426096122077711599499930802645299630112293853672522269267060228281338355559657992979184958787663659548894224946067245391017569608736029685054102823962075197506724781150875963668366922257154669802646584185464098945223335165123320148101967677617423906500932936817975311520910911117762663714199443044521420651743833705485176980852498709465724685687830433662903340340084402213460897788888606502798349922887515380873760929913121909840341581908839093788550521329484803420592322457625621358062403400229878309928242494272336362725590812318711232517695456249654720200029180982332355433823792346976315454104148327339607549162624233215389690933890297337032170756625682752713705405420010262903537573377917633077378171316607254}
23832 402560200335352937373296015356236625101160169389512442540860596586804126926131: {119135,142962,309647,452447,524018,737831,809642,1022927,1333864,1380458,1402607,1500597,1687031,1786425,1876487,1905520,1950698,2113127,2143710,2286624,2476552,2572452,2680247,2786121,3858047,3929145,3942002,4191088,4225898,4702967,4714974,5264807,5405087,5498567,5638727,5799148,5834185,5918831,6338447,6367948,6385031,6664367,6896927,7001022,7041544,7903442,7921737,8211345,8334550,8426807,8750207,8758768,9311402,9395831,9853614,10001460,10079752,10131767,10341484,10668224,10715762,10774031,10819847,11218024,11339721,11643167,11906500,12001752,12145031,12396242,12600431,12620277,12675818,13100447,13171084,13234538,13352361,13501971,13792682,13871752,14287800,14300908,14639831,14865388,14910527,15008104,15240320,15271007,15586007,15605721,15765352,15827665,16073775,16214831,16884117,16931567,17145360,17333831,17557031,17735447,17736021,17824607,17960402,18288384,18670031,18808684,18892031,18993198,19069487,19288530,19291127,19733807,19826233,20111845,20169938,20303464,20574432,20881031,21546218,21616684,22198031,22610950,22766073,22841397,22918898,23146236,23290031,23466962,23740778,23824801,23899367,24134214,24203447,24810431,24853727,25296945,25502207,25535788,25811065,25963144,26148887,26339944,26364047,26750831,26983408,27008327,27133140,27436847,27904497,28222984,28323190,28419407,28930367,28942016,29057927,29100431,29208537,29312831,29557545,29632437,29728264,29728298,29737031,30356334,30437841,30856552,30973278,31110028,31383767,31528048,31750857,31888007,32474831,32559768,33143567,33268727,33444297,33804169,33987828,34035430,34307282,34516367,34599287,34713621,34723607,35469054,35646122,36235525,36489352,36629739,36872950,37208428,37239304,37247978,37603967,37614184,37808207,38046962,38053031,38093807,38460431,38704487,38826407,39106585,39375722,39389637,39677831,39867321,40318894,40461700,40700882,40842516,41050521,41089031,41450327,41894217,42107752,42315957,42550058,42689831,42722188,42855784,42939145,43127807,43482630,43525127,43603562,43882031,43977352,44087785,44238287,44247540,44392178,44654762,45263831,46227242,46244831,46381472,46488818,46892425,46927902,47197376,47371221,47998031,48212757,48291670,48315818,48424127,48554040,48676785,48926447,49003607,49066465,49474521,49576552,49616498,49696607,49735031,49790377,50135762,50137257,50157167,50272127,50310431,50395178,50501831,50694664,51304197,51417767,51526974,51790976,51921904,52179156,52184584,52207058,52215431,52905342,53097048,53663308,53754482,53786929,54011882,54250367,54623295,55040042,55594031,55639221,55700785,55773621,55837708,55866550,56223145,56270910,56373047,56742767,56833778,56853527,56927327,57031497,57259031,57465484,57598420,57626831,57950004,58110698,58252917,58264848,58412142,58549228,58707657,58879758,58907831,59235647,59384018,59618824,59734179,59816831,60022304,60644948,60673585,60756887,61076425,61160618,61253548,61655687,62905607,62982550,63355045,63580031,63898487,63969167,64075127,64189802,64441298,64634713,65481047,65547954,65643865,65865431,66197738,66287752,66388031,66448082,66840942,67039860,67071177,67467774,67525092,67596321,67708545,67738367,67947122,68151407,68345797,68520261,68875624,68988100,69118104,69192362,69281327,69315431,69440978,69817785,69858988,69937778,70029767,70094950,70434002,70537847,70929484,71010431,71091304,71129110,71145167,71177258,71472777,71509184,72222448,72352031,72533068,72552167,72608185,72659882,72808302,73051247,73291710,73349831,73813007,74011031,74472304,74573721,74636207,74667148,74766085,74800247,75051361,75060741,75119402,75487031,75579060,75617447,76026054,76099178,76170287,76462031,76620424,76838470,76979087,77485077,77757867,78039047,78177824,78422327,78772638,79153727,79533647,79572550,79628447,79977717,80447832,80478407,80572487,80617664,80791727,81250254,81415967,81761601,81856645,82615813,82785720,82901087,83157388,83374058,83392031,83575607,83781342,83819927,83846665,84113940,84260638,84731567,84750745,84943247,85292138,85354932,85365431,85437064,85636007,85966161,86012773,86115431,86197977,86264831,86486258,86635640,86676550,86864721,86868385,87129822,87186647,87334607,87950052,88218167,88304768,88389362,88426348,88774031,89181767,89210831,89358025,89719302,89721536,89728977,89790431,89810642,90503811,90653831,90674517,90694872,90768407,90850785,90928744,91367831,91793831,92206164,92402858,92572465,92948145,93033047,93121384,93133935,93143788,93228767,93776950,93785807,94063127,94180645,94697927,94972607,95328145,95487060,95546831,95676842,95710247,95754508,95768337,95791847,96116697,96250294,96252887,96496031,96674037,96839282,96907504,96968641,97126017,97465095,97766642,97941287,97998122,98227974,98338607,98720517,98877868,98891831,99144688,99284831,99342864,99383978,99441527,99519767,99780047,99935831,...,17833947876851315677900194187561794719366867813397081673477819543976437842617066096354776942037143248694267107542861244289941364203181889978757899874509754632546136790081992749460637810458192509126692072371249946660800088501406413002262837498213511493959381407598832376010648270895740217708988887995363693256812757111868909483350521285075562595256077037339866337137232016978389499244118121733900915403403977629653546111577414388073726618652525335695640601212969503097820519689518271426941272259600472114060304661570559987560107739504588302532558818386723626183774744567608248042029048401268556801034652289895472085256029948429071359201066642873464975105582972474732129833457203191229543464202407720216793981080660159547230114098659943248451575090364341729346918335854430884014951809522726867035233462015700157783668246874284837787089832536120329432263230690397982597270423730073106355791062054912047002205864027463893872172061648302271762414489680378440309759803056765388757492292031500148071886356219572782337873707413411035826070467492271540201203082097613230459054437982459358814983227119868238654080134994172856446723434827480831107218522686491813799102360183028710839369261388528008748564269226012014193416828442286005965806498223480780755128102359816535711703906116358263637916948095523639579576587783266291085802949791717129764531422096732625109107493331189256549147430564949014192218122695231470866622693529463707757975838995193094483155035337804318847968746137458676975910385069336418459117522218486366344697509265180399316372530240488509915680230918214048113872699125098559631149236881972418622513497382983904686305424654305775024924232985453603968004267202541631616690939435476199376744913576047434325853472815718853404737924334990981313927903005420202051557737715969381137648967222992365842258364092158573833507711377977518410241504403898197144726832893269300824598225610721000823214776060690377667009534818285698123824195610826406864033346135996139496633136549461981849904577293784128908556858871113864112068834022974401910515159999289088081334615953625394912090847925651382147130168111255758958044226945592700278224828477409613848994360962437608502307227961616409751267167668135778316202678205844815888833215547083797939538997901938610072783463120198070393622326705031891043622356030097773683714858704566185949644010790923718989751364490636205639260946534426639418365907671445730545409926354294906765906844221143427419076964485439367378112275754394561973728503322854016661273018258125815387969984998914194645802321471493390157422220219433274163020061919915749934441339940594137782046112760556286180608001901717263868107949251024284875057177468685299612149108585655217699500867556912348713942880984234595500381297670163477320834076854471812322993097216596537028017387003685853456561384102420042210680987468989526337302622123098965370651832774769786031573280701481079750069252172405506754807270913637909796356942895190988821574023642915629460461963208593207453653353385868643094887571040110598061116872174462527747242141993508476673274333774929156269747498724381051639144183116567399249896203967949445168440780508783403900590342422007533339486989468777438181495489323341337419100868086526354413104044527581154235943112796260087171726313945502550383385732004703969876278196148417835002747684980222152951516426135859751399405226962967281366366676643995571299164566782130977615750558227765471278748064198587028531745650494355010510126603320191346683332909754197524884331273071310641394869682864760512372863258640682825781994227205130888483686438432037093605100344817464892363741408504544088386218478066848776543184374482080300043771473498533150735688520464473181156222491009411323743936349823084536400835446005548256134938524129070558108130015394355306360066876449616067256974910881}
23833 403978463574286876724829082860405446843470205113621494291229652066012257056653: {23833,47662,190616,214443,786027,1167131,1214463,1667330,2000796,2070687,2166983,2381900,2858280,2926047,3048832,3095690,3215565,3429936,3667202,3714828,3858678,5238860,5878847,5913003,6161351,6286632,6338847,7072461,7248935,7663922,7959935,8698722,8801930,8819783,9334696,9551922,9586967,9815771,9948818,10501533,10520042,10562316,10948460,11855163,12137783,12501825,12599690,12926855,13132091,13138152,13335280,13794683,13967103,14022530,14525303,14780421,14883125,15002190,15119628,15512226,15943631,16002336,16073643,16224098,16375463,16463855,16827036,17339690,17378063,17765531,17803148,17859750,17876135,17936906,18002628,18224687,18519167,18581735,18594363,18760130,19013727,19050400,19706690,19756626,19851807,20230823,20632667,20688863,20689023,20791586,20807628,21223931,21371927,21431700,21451362,22298082,22512156,22535903,22717751,22860480,23047451,23505563,23510855,23610482,23648028,23927327,24382007,24384512,24581282,24695111,25324264,25379330,25501991,25718040,26012231,26873627,26940603,26999483,27020855,27432576,27529727,27587042,27712322,28213026,28489797,28932795,29465063,29629967,30200231,30229931,30254907,30354764,30455196,30841778,30861648,31143047,31919735,31928183,32029307,32178952,32319327,32425026,32453930,32584391,32912411,32924930,32928767,33139562,33729260,33916425,34378347,34719354,35011922,35200443,35278730,35611167,36177520,36201321,36587963,36844283,37160330,37205996,37498811,37791023,37979666,38137682,38303682,38480183,38570690,38887535,38944716,39112631,39317531,39410060,39509916,39986186,40342367,40475112,40583788,40699710,41261858,41297704,42001367,42334476,42484785,42817322,43379483,43413024,43425947,43836962,43908203,44357831,44592396,44592447,44824562,44894231,45317104,45431666,45534501,45611690,45661511,45850727,46284828,46459917,46462247,46510535,46549130,46560023,46665042,47017730,47292072,47984603,48296183,48839652,49263722,50164367,50577125,50981742,51053145,51144551,51371282,51460923,51710747,52166471,52519516,52634690,52703618,53156428,53203581,53254226,53402735,53469183,53569730,54095666,54456688,54734028,54971690,55309425,55812642,55858956,55871967,55948751,56421276,56503658,57070443,57156731,57315602,57888347,57976840,58001783,58670807,58925162,58996720,59063583,59280143,59430767,60266171,60478341,60498503,60692550,61028987,61051323,61263774,61631231,61970690,62204891,62513231,62570536,63161628,63194642,63368330,63825087,64053218,64083282,64283676,64738720,64759487,64902380,65163266,65223945,65230730,65405343,65966028,66371310,66588267,66634082,66849676,66982143,67042871,67079135,67889147,68271698,68405596,68702632,69216242,69340863,69572208,69622943,69733227,69797135,70391853,70540456,70796064,70990967,71831855,71998025,72066602,72414107,72437505,72473727,72831060,73169762,73186535,73266167,73276907,74185628,74364828,74424747,74523530,74691131,74757431,75027880,75203643,75592767,75676187,75806185,76041996,76566935,76683527,77266672,77290461,77507063,77593538,77670556,77686464,77882856,78032642,78268734,78276876,78310587,78506344,78628418,78723983,79358013,79562651,79645572,80494962,80541383,80631723,80677922,80941487,81017823,81248546,81273887,81481211,81732002,82560063,82592066,82859690,82963127,82982567,83731922,83756562,83799825,83995658,84406365,84794066,85250667,85727867,85987967,86094530,86198226,86235125,86397630,86592623,86751602,86844578,86925006,87166047,87202391,87323735,87397272,87618213,87823842,88319637,88661855,88864130,89076027,89121256,89135291,89386480,89428236,89441063,89801173,89957032,90033456,90112847,90128428,90278060,90666335,90725831,90967422,91360348,91505522,91693706,91740927,91880322,92157472,93090380,93112202,93333935,93784751,94473825,94624427,95046887,95297036,95529671,95775530,95961122,96127931,96284703,96524162,96661947,97077736,97105586,97390811,97722280,98321931,98367527,99289058,99296607,99431628,99672123,...,23778597169135087570533592250082392959155823751196108897970426058635250456822754795139702589382857664925689476723814992386588485604242519971677199832679672843394849053442656999280850413944256678835589429828333262214400118001875217336350449997618015325279175210131776501347531027860986956945318517327151591009083676149158545977800695046767416793674769383119821782849642689304519332325490828978534553871205303506204728148769885850764968824870033780927520801617292670797094026252691028569255029679467296152080406215427413316746810319339451070043411757848964834911699659423477664056038731201691409068046203053193962780341373264572095145601422190497953300140777296632976173111276270921639391285603210293622391974774213546062973485464879924331268766787152455639129224447805907845353269079363635822713644616020933543711557662499046450382786443381493772576350974253863976796360564973430808474388082739882729336274485369951858496229415531069695683219319573837920413013070742353851676656389375333530762515141626097043117164943217881381101427289989695386934937442796817640612072583976612478419977636159824318205440179992230475262297913103307774809624696915322418398803146910704947785825681851370678331419025634682685591222437923048007954408664297974374340170803146422047615605208155144351517222597460698186106102117044355054781070599722289506352708562795643500145476657774919008732196574086598685589624163593641961155496924705951610343967785326924125977540047117072425130624994849944902634547180092448557945490029624648488459596679020240532421830040320651346554240307890952064151830265500131412841532315842629891496684663177311872915073899539074366699898977313938138624005689603388842155587919247301599168993218101396579101137963754291804539650565779987975085237204007226936068743650287959174850198622963989821123011152122878098444676948503970024546988672538530929526302443857692401099464300814294667764286368080920503556012713091047597498432260814435209152044461514661519328844182065949309133206103058378838544742478494818485482758445363965869214020213332385450775112821271500526549454463900868509529506890815007678610725635927456933704299771303212818465325814616583478003076303948821879668356223557514371088270237607793087851777620729445063919385330535918146763711284160264093858163102273375854724829808040130364911619811606088247932858681054564958653001819320848274185681262045902185891154543561927640727213235139059875687875792294857903225435952647252489837483034339192749298304671097138688881697357677501087183959979998552259527736428628657853543229626959244365550693415893220999912588453254125517042728150347408381574144002535623018490810599001365713166742903291580399482865478114206956932667823409216464951923841312312794000508396893551303094445435805962416430657462955462049370689849338247804608748512136560056280907983291986035116403496164131953827535777033026381375431040935308106333425669563207342339743027884850546395142590526921318428765364857220839280615950944790943271537804514491524126516761386814130748155829565950036996322855991344635564365778366572208359663331632508068852192244155423198999861605290599260224587707345044538534120456562676711119315985958369917575327319097788449892134490782035139217472059370108205647924150395013449562301751927336733844514309339605293168370928197890446670330246640296203935355234847813001865873635950623041821822235525327428398886089042841303487667410970353961704997418931449371375660867325806680680168804426921795577777213005596699845775030761747521859826243819680683163817678187577101042658969606841184644915251242716124806800459756619856484988544672725451181624637422465035390912499309440400058361964664710867647584693952630908208296654679215098325248466430779381867780594674064341513251365505427410810840020525807075146755835266154756342633214508}
23834 405401691112218141707090895720212127292926829520722576712680352385722770279583: {71493,166789,238270,285924,619294,904894,1048036,1450153,1475662,1592389,1619284,1734553,2045854,2500995,2667728,2760916,2805214,2977375,3001194,3374062,3572850,3717289,3752974,3811040,3858373,3901396,4226254,4287420,4573248,4643535,4953104,4984453,5144904,5360494,5500803,5572242,5685913,5788017,6385573,6525289,6548575,7716094,7858290,7884004,7918489,8167859,8382176,8451796,9405934,9429948,10529614,10810174,10820773,10997134,11277454,11495883,11598296,11668370,11837662,12191653,12601513,12676894,12735896,12770062,13048083,13202895,13328734,13685575,13793854,14002044,14083088,14098789,14327883,14641093,14923227,15317353,15780063,15806884,15843474,15991813,16422690,16669100,16853614,17500414,17517536,18622804,18791662,18899535,18938053,19707228,20002920,20159504,20263534,20682968,21033795,21336448,21431524,21548062,21639694,22158731,22253935,22436048,22503285,22679442,23268339,23286334,23813000,23944933,24003504,24290062,24336147,24792484,24855913,25200862,25240554,25351636,25374889,26009535,26200894,26342168,26469076,26704722,26789625,26905359,27003942,27439273,27585364,27743504,28140195,28156583,28575600,28601816,29103013,29279662,29357893,29560035,29634939,29730776,29821054,30016208,30480640,30542014,31007593,31172014,31187379,31211442,31530704,31655330,31679131,32147550,32177043,32429662,32519593,33447123,33768234,33863134,34145893,34290720,34395013,34667662,35114062,35415723,35470894,35472042,35649214,35920804,36135491,36576768,36870373,36871923,37340062,37617368,37784062,37943455,37986396,38068995,38097253,38138974,38463913,38577060,38582254,39316933,39467614,39652466,40223690,40287493,40339876,40606928,41132953,41148864,41380563,41568483,41762062,42161575,42319539,43092436,43233368,43529113,44004889,44396062,45221900,45307333,45532146,45682794,45837796,46262667,46292472,46507495,46580062,46835353,46933924,47481556,47649602,47798734,48002473,48268428,48406894,48637539,48680895,49262575,49387395,49620862,49707454,49709343,49739653,50315113,50429989,50593890,50729735,51004414,51071576,51622130,51926288,52079031,52144489,52297774,52517883,52679888,52728094,52918095,53501662,53730073,53966816,54016654,54266280,54292933,54405289,54749219,54873694,55740495,55808994,56081989,56445968,56526373,56637289,56646380,56838814,56969499,57206523,57301273,57455523,57856035,57860734,57884032,58115854,58200862,58292389,58417074,58625662,58949893,59115090,59264874,59456528,59456596,59474062,59495833,59822533,59979279,60114803,60473989,60712668,60875682,61049565,61713104,61722899,61892787,61946556,62220056,62767534,63056096,63501714,63586153,63776014,64225983,64949662,65119536,65649395,65755443,66204787,66287134,66445535,66537454,66888594,67236843,67261573,67608338,67779433,67975656,67986073,68070860,68147499,68417535,68614564,68693051,69032734,69198574,69322213,69427242,69447214,69823695,69997563,70526595,70938108,71292244,71354053,71957989,72471050,72978704,73259478,73745900,73895583,74051353,74347813,74416856,74478608,74495956,74938789,75037033,75207934,75228368,75616414,75625231,76093924,76106062,76187614,76386479,76472613,76502053,76920862,77056923,77408974,77652814,77854789,77981099,78213170,78430213,78712403,78751444,78779274,78812389,78952035,79055427,79355662,79668073,79734642,79881339,80235289,80354595,80637788,80923400,81127975,81143499,81401764,81685032,81735193,82101042,82178062,82457535,82900654,82940293,83562095,83718963,83788434,84215504,84406789,84631914,84755487,84861289,84943019,84951973,85100116,85379662,85444376,85506995,85711568,85878290,85973403,86213989,86255614,86965260,87050254,87207124,87764062,87904153,87954704,87992389,88175570,88387743,88432489,88476574,88495080,88520293,88697063,88783273,88784356,89220133,89309524,90527662,91038825,91120933,91895661,91901411,92227753,92454484,92489662,92732035,92762944,92956035,92977636,93784850,93855804,94394752,94742442,94791963,95052495,95229289,95996062,96079827,96124923,96425514,96583340,96631636,96848254,96856489,97088195,97108080,97353570,97744899,97846095,97852894,97978393,98007214,98132930,98949042,99153104,99232996,99393214,99470062,99556965,99580754,99634789,99951123,...,35667895753702631355800388375123589438733735626794163346955639087952875685234132192709553884074286497388534215085722488579882728406363779957515799749019509265092273580163985498921275620916385018253384144742499893321600177002812826004525674996427022987918762815197664752021296541791480435417977775990727386513625514223737818966701042570151125190512154074679732674274464033956778998488236243467801830806807955259307092223154828776147453237305050671391281202425939006195641039379036542853882544519200944228120609323141119975120215479009176605065117636773447252367549489135216496084058096802537113602069304579790944170512059896858142718402133285746929950211165944949464259666914406382459086928404815440433587962161320319094460228197319886496903150180728683458693836671708861768029903619045453734070466924031400315567336493748569675574179665072240658864526461380795965194540847460146212711582124109824094004411728054927787744344123296604543524828979360756880619519606113530777514984584063000296143772712439145564675747414826822071652140934984543080402406164195226460918108875964918717629966454239736477308160269988345712893446869654961662214437045372983627598204720366057421678738522777056017497128538452024028386833656884572011931612996446961561510256204719633071423407812232716527275833896191047279159153175566532582171605899583434259529062844193465250218214986662378513098294861129898028384436245390462941733245387058927415515951677990386188966310070675608637695937492274917353951820770138672836918235044436972732689395018530360798632745060480977019831360461836428096227745398250197119262298473763944837245026994765967809372610849308611550049848465970907207936008534405083263233381878870952398753489827152094868651706945631437706809475848669981962627855806010840404103115475431938762275297934445984731684516728184317147667015422755955036820483008807796394289453665786538601649196451221442001646429552121380755334019069636571396247648391221652813728066692271992278993266273098923963699809154587568257817113717742227728224137668045948803821030319998578176162669231907250789824181695851302764294260336222511517916088453891185400556449656954819227697988721924875217004614455923232819502534335336271556632405356411689631777666431094167595879077995803877220145566926240396140787244653410063782087244712060195547367429717409132371899288021581847437979502728981272411278521893068853278836731815342891461090819852708589813531813688442286854838153928970878734756224551508789123947457006645708033322546036516251630775939969997828389291604642942986780314844440438866548326040123839831499868882679881188275564092225521112572361216003803434527736215898502048569750114354937370599224298217171310435399001735113824697427885761968469191000762595340326954641668153708943624645986194433193074056034774007371706913122768204840084421361974937979052674605244246197930741303665549539572063146561402962159500138504344811013509614541827275819592713885790381977643148047285831258920923926417186414907306706771737286189775142080221196122233744348925055494484283987016953346548667549858312539494997448762103278288366233134798499792407935898890336881561017566807801180684844015066678973978937554876362990978646682674838201736173052708826208089055162308471886225592520174343452627891005100766771464009407939752556392296835670005495369960444305903032852271719502798810453925934562732733353287991142598329133564261955231501116455530942557496128397174057063491300988710021020253206640382693366665819508395049768662546142621282789739365729521024745726517281365651563988454410261776967372876864074187210200689634929784727482817009088176772436956133697553086368748964160600087542946997066301471377040928946362312444982018822647487872699646169072801670892011096512269877048258141116216260030788710612720133752899232134513949821762}
23835 406829900212754031282089890082707674325516830086564999832121592224235396180769: {47666,95324,357405,381232,428886,928941,1310045,1357341,1572054,2024105,2213493,2334262,2428926,2881373,3068781,3334660,3451145,4001592,4141374,4207821,4333966,4501791,4763800,4876745,5061093,5359275,5629461,5716560,5852094,6021653,6097664,6191380,6339381,6431130,6859872,6878489,7334404,7429656,7717356,8040741,8358363,9855005,10148509,10477720,10564745,11143909,11574141,11727977,11757694,11787435,11826006,12322702,12573264,12584381,12677694,14108901,14144922,14497870,15327844,15794421,15919870,16215261,16495701,16916181,17397444,17502555,17603860,17639566,17756493,18097597,18551093,18669392,18842473,19015341,19103844,19155093,19173934,19422541,19631542,19758605,19897636,19993101,20690781,20836375,21003066,21040084,21124632,21675533,21896920,22845853,23049397,23278505,23710326,23765211,24275566,24384061,24634035,25003650,25026589,25199380,25280421,25853710,26014429,26250621,26264182,26276304,26670560,26789405,27260749,27589366,27934206,28045060,28187493,28662629,29050606,29560842,29766250,30004380,30239256,30395301,30990605,31024452,31673413,31689545,31759741,31887262,32004672,32147286,32232821,32322093,32448196,32459541,32528809,32750926,32915197,32927710,32931541,33086345,33654072,34019163,34481705,34679380,34756126,34929501,35531062,35606296,35696309,35719500,35752270,35873812,36005256,36435093,36449374,36508361,37038334,37163470,37188726,37520260,37801293,37829197,37860831,38027454,38100800,38769053,39301341,39413380,39513252,39703614,39928793,40057083,40461646,40505913,40631117,41265334,41377726,41378046,41583172,41615256,42447862,42743854,42863400,42902724,43714117,43919493,44596164,44687629,44731581,44898013,44901005,45024312,45071806,45435502,45720960,45760469,45813021,46094902,46466173,46758021,46817163,47011126,47021710,47220964,47296056,47482995,47854654,48221325,48644493,48764014,48769024,49162564,49390222,49652933,50424845,50648528,50652351,50758660,50794701,51003982,51199709,51436080,51589193,52001493,52024462,52443869,52671093,52750949,53206341,53208063,53473821,53747254,53865545,53881206,53998966,54041710,54442549,54865152,55059454,55174084,55424644,56010093,56426052,56527375,56676093,56979594,57161557,57208461,57297245,57865590,57873381,58667405,58930126,59201421,59259934,59285161,59351945,59478699,59953577,60335535,60400462,60459862,60509814,60709528,60910392,61112701,61683556,61723296,62286094,62530957,62643093,63839470,63856366,64058614,64357904,64638654,64850052,64907860,65114749,65168782,65824822,65849860,65857534,66279124,66594093,66623909,67458520,67832850,68161973,68298219,68413501,68524191,68756694,69330637,69438708,69870093,70023844,70236361,70400886,70557460,70807975,71222334,71474403,71698101,72355040,72402642,72610341,73175926,73688566,73879273,74320660,74320745,74411992,74431293,74453941,74561181,74763829,74997622,75582046,75840413,75890835,75959332,76275364,76506621,76607364,76716869,76960366,77141380,77433195,77775070,77889432,78225262,78446661,78635062,78820120,79019832,79092141,79972372,80252493,80684734,80950224,81024981,81093101,81167576,81399420,82310541,82523716,82595408,83713491,84002734,84668952,84969570,85088575,85258221,85634644,85768205,86599981,86625541,86758966,86791101,86826048,86851894,87173781,87301293,87625611,87673924,87816406,87938493,88672635,88715662,88897311,89115305,89184792,89184894,89211093,89649124,89788462,90634208,90863332,91069002,91223380,91313523,91323022,91701454,92182375,92569656,92919834,92924494,93021070,93098260,93119945,93120046,93216349,93330084,93910789,94035460,94036937,94151301,94584144,95117405,95252571,95537737,95658121,95664021,95969206,96592366,97297061,97424493,97679304,97715989,98439305,98527444,99430701,99806181,99963541,...,53501843630553947033700582562685384158100603440191245020433458631929313527851198289064330826111429746082801322628583732869824092609545669936273699623529263897638410370245978248381913431374577527380076217113749839982400265504219239006788512494640534481878144222796497128031944812687220653126966663986091079770438271335606728450051563855226687785768231112019599011411696050935168497732354365201702746210211932888960638334732243164221179855957576007086921803638908509293461559068554814280823816778801416342180913984711679962680323218513764907597676455160170878551324233702824744126087145203805670403103956869686416255768089845287214077603199928620394925316748917424196389500371609573688630392607223160650381943241980478641690342295979829745354725271093025188040755007563292652044855428568180601105700386047100473351004740622854513361269497608360988296789692071193947791811271190219319067373186164736141006617592082391681616516184944906815287243469041135320929279409170296166272476876094500444215659068658718347013621122240233107478211402476814620603609246292839691377163313947378076444949681359604715962240404982518569340170304482442493321655568059475441397307080549086132518107784165584026245692807678036042580250485326858017897419494670442342265384307079449607135111718349074790913750844286570918738729763349798873257408849375151389293594266290197875327322479993567769647442291694847042576654368085694412599868080588391123273927516985579283449465106013412956543906238412376030927731155208009255377352566655459099034092527795541197949117590721465529747040692754642144341618097375295678893447710645917255867540492148951714058916273962917325074772698956360811904012801607624894850072818306428598130234740728142302977560418447156560214213773004972943941783709016260606154673213147908143412946901668977097526775092276475721500523134133932555230724513211694591434180498679807902473794676832163002469644328182071133001028604454857094371472586832479220592100038407988418489899409648385945549713731881352386725670576613341592336206502068923205731545479997867264244003847860876184736272543776954146441390504333767276874132680836778100834674485432228841546983082887312825506921683884849229253801503004407334948608034617534447666499646641251393818616993705815830218350389360594211180866980115095673130867068090293321051144576113698557848932032372771156969254093471908616917782839603279918255097723014337191636229779062884720297720532663430282257230893456318102134336827263183685921185509968562049983819054774377446163909954996742583937406964414480170472266660658299822489060185759747249803324019821782413346138338281668858541824005705151791604323847753072854625171532406055898836447325756965653098502602670737046141828642952703786501143893010490431962502230563415436968979291649789611084052161011057560369684152307260126632042962406968579011907866369296896111955498324309358094719842104443239250207756517216520264421812740913729389070828685572966464722070928746888381385889625779622360960060157605929284662713120331794183350616523387583241726425980525430019823001324787468809242496173143154917432549349702197749688611903848335505322341526350211701771027266022600018460968406332314544486467970024012257302604259579063239312133582743462707829338388780261515178941836507651150157196014111909628834588445253505008243054940666458854549278407579254198215680888901844099100029931986713897493700346392932847251674683296413836244192595761085595236951483065031530379809960574040049998729262592574652993819213931924184609048594281537118589775922048477345982681615392665451059315296111280815301034452394677091224225513632265158655434200546329629553123446240900131314420495599452207065561393419543468667473028233971231809049469253609202506338016644768404815572387211674324390046183065919080200629348848201770924732643}
23836 408263108199147010996128191454474623438433621164756587444653746744165928815469: {71499,119155,142986,333578,404923,476540,547699,571848,643329,1118083,1238588,1809788,1971499,2096072,2113483,2358081,2900306,2951324,3184778,3238568,3469106,3501393,3529363,3643389,3952723,4091708,4093699,4168325,5001990,5335456,5359243,5499499,5521832,5610428,5954750,6002388,6212061,6339523,6500949,6748124,7145700,7434578,7505948,7622080,7716746,7739225,7802792,8452508,8574840,8778141,9120883,9146496,9168005,9287070,9646695,9811723,9906208,9968906,10289808,10720988,10913323,11001606,11144484,11188003,11371826,11576034,11736499,11873443,12771146,12966403,13050578,13097150,15003283,15432188,15678643,15716580,15768008,15836978,16335718,16621123,16764352,16903592,17636541,17739009,17827699,18362083,18484053,18628843,18811868,18859896,19016541,19159805,19825699,21059228,21217383,21280603,21620348,21641546,21746805,21994268,22004825,22333243,22464499,22554908,22991766,23196592,23250523,23336740,23675324,23879805,23903563,24383306,24872045,24944683,25203026,25204243,25353788,25471792,25540124,26096166,26300105,26405790,26459349,26657468,27013099,27371150,27527323,27587708,27655699,28004088,28166176,28197578,28655766,28760901,29282186,29447313,29846454,30634706,30715123,31155509,31499225,31504599,31560126,31613768,31686948,31977643,31983626,32229283,32845380,33232963,33338200,33358099,33707228,34605499,34729843,35000828,35035072,35056325,35565489,35722003,36413349,37245608,37438973,37505475,37583324,37799070,37876106,38780565,39396273,39414456,40005840,40129699,40319008,40527068,40560245,41365936,41384049,41818603,41901309,42067590,42672896,42863048,43096124,43135699,43279388,43349225,43575909,43612483,44317462,44341263,44507870,44649375,44842265,44872096,44917699,45006570,45035923,45358884,45625963,46536678,46572668,46683499,46900325,47626000,47830893,47889866,48007008,48220929,48316963,48580124,48672294,48896923,49012699,49126389,49266725,49391565,49584968,49711826,50166499,50401724,50481108,50703272,50749778,51769723,51978965,52019070,52134189,52401788,52566043,52684336,52938152,53120837,53296593,53409444,53579250,53628405,53810718,54007884,54674061,54878546,55170728,55381243,55487008,55557501,55745205,55783089,56272603,56280390,56313166,56827363,56938099,57041181,57151200,57203632,57601003,58206026,58480843,58559324,58715786,59026205,59120070,59246923,59269878,59461552,59555421,59642108,60032416,60660283,60692469,60961280,61084028,61416283,61453205,61739203,61846699,61898001,62015186,62066589,62067069,62344028,62374758,62422884,63061408,63310660,63358262,63448325,63671793,63981499,64087483,64115781,64295100,64354086,64616323,64859324,65039186,65110493,66192043,66894246,67536468,67607709,67726268,68153253,68267803,68291786,68581440,68782243,68790026,68967605,69142353,69280805,69335324,70228124,70516689,70532565,70619323,70831446,70941788,70944084,71021629,71298428,71781981,71831083,71841608,72270982,73132123,73146021,73153536,73740746,73743846,73827643,74085333,74680124,74815123,75234736,75568124,75886910,75972792,76137990,76194506,76277948,76505973,76927826,77104445,77154120,77155699,77164508,78022723,78036693,78118699,78242021,78501883,78633866,78935228,79304932,80447380,80494699,80574986,80620881,80679752,80821809,80998449,81062565,81134825,81213856,81339043,81525883,82265906,82297728,82312325,82589181,82761126,82848905,83136966,83286499,83378443,83524124,83745499,84323150,84522317,84639078,85111699,85469391,85653643,86184872,86372203,86461699,86466736,86798385,87058226,87263923,87529805,87707083,88009778,88196825,88395189,88792124,88889901,89375273,89548699,89635603,90443800,90600693,90614666,90689793,90764721,91064292,91358563,91365588,91675592,91909153,92463043,92525334,92584944,92631883,92900825,93014990,93023749,93052723,93160124,93304363,93429141,93670706,93722323,93867848,94718083,94949165,94963112,95299204,95344205,95376163,95597468,95759205,95784549,96004946,96087921,96426725,96536856,96813788,96957981,97275078,97361790,97753173,98201083,98525150,98676499,98737233,98774790,98786301,99241724,99414908,99418686,99463099,99479306,99965465,...,71335791507405262711600776750247178877467471253588326693911278175905751370468264385419107768148572994777068430171444977159765456812727559915031599498039018530184547160327970997842551241832770036506768289484999786643200354005625652009051349992854045975837525630395329504042593083582960870835955551981454773027251028447475637933402085140302250381024308149359465348548928067913557996976472486935603661613615910518614184446309657552294906474610101342782562404851878012391282078758073085707765089038401888456241218646282239950240430958018353210130235273546894504735098978270432992168116193605074227204138609159581888341024119793716285436804266571493859900422331889898928519333828812764918173856809630880867175924322640638188920456394639772993806300361457366917387673343417723536059807238090907468140933848062800631134672987497139351148359330144481317729052922761591930389081694920292425423164248219648188008823456109855575488688246593209087049657958721513761239039212227061555029969168126000592287545424878291129351494829653644143304281869969086160804812328390452921836217751929837435259932908479472954616320539976691425786893739309923324428874090745967255196409440732114843357477045554112034994257076904048056773667313769144023863225992893923123020512409439266142846815624465433054551667792382094558318306351133065164343211799166868519058125688386930500436429973324757026196589722259796056768872490780925883466490774117854831031903355980772377932620141351217275391874984549834707903641540277345673836470088873945465378790037060721597265490120961954039662720923672856192455490796500394238524596947527889674490053989531935618745221698617223100099696931941814415872017068810166526466763757741904797506979654304189737303413891262875413618951697339963925255711612021680808206230950863877524550595868891969463369033456368634295334030845511910073640966017615592788578907331573077203298392902442884003292859104242761510668038139273142792495296782443305627456133384543984557986532546197847927399618309175136515634227435484455456448275336091897607642060639997156352325338463814501579648363391702605528588520672445023035832176907782370801112899313909638455395977443849750434009228911846465639005068670672543113264810712823379263555332862188335191758155991607754440291133852480792281574489306820127564174489424120391094734859434818264743798576043163694875959005457962544822557043786137706557673463630685782922181639705417179627063627376884573709676307857941757469512449103017578247894914013291416066645092073032503261551879939995656778583209285885973560629688880877733096652080247679662999737765359762376551128184451042225144722432007606869055472431797004097139500228709874741198448596434342620870798003470227649394855771523936938382001525190680653909283336307417887249291972388866386148112069548014743413826245536409680168842723949875958105349210488492395861482607331099079144126293122805924319000277008689622027019229083654551639185427771580763955286296094571662517841847852834372829814613413543474572379550284160442392244467488697850110988968567974033906693097335099716625078989994897524206556576732466269596999584815871797780673763122035133615602361369688030133357947957875109752725981957293365349676403472346105417652416178110324616943772451185040348686905255782010201533542928018815879505112784593671340010990739920888611806065704543439005597620907851869125465466706575982285196658267128523910463002232911061885114992256794348114126982601977420042040506413280765386733331639016790099537325092285242565579478731459042049491453034562731303127976908820523553934745753728148374420401379269859569454965634018176353544873912267395106172737497928321200175085893994132602942754081857892724624889964037645294975745399292338145603341784022193024539754096516282232432520061577421225440267505798464269027899643524}
23837 409701332454499445442263210706106194912570797972954495642057638391255366337574: {95332,190648,214479,500367,595675,714810,762464,857772,1548235,1834063,1857882,2262235,2620090,2714682,2833747,3144108,3405259,3689155,4048210,4350459,4426986,4668524,4777167,4831603,4857852,5114635,5203659,5762746,6137562,6669320,6827443,6902290,7013035,7116499,7502985,7687723,8003184,8282748,8415642,8435155,8667932,8932125,9003582,9382435,9527600,9682123,9753490,10122186,10565635,10718550,11151867,11258922,11433120,11575119,11704188,12043306,12195328,12382760,12536803,12678762,12862260,13107739,13401235,13719744,13756978,13797007,13859659,13930605,14668808,14790643,14859312,14953359,15424783,15434712,16081482,16502409,16716726,17057739,17364051,18994627,19073659,19156719,19290235,19575867,19645725,19710010,20297018,20636143,20955440,21129490,21414067,21677359,21924019,22287818,22417939,23148282,23455954,23514835,23515388,23574870,23652012,23755467,23832283,24503577,24645404,25146528,25168762,25355388,25616539,25692127,26324035,27025435,27054667,27492835,27662047,27917263,28193635,28217802,28258963,28289844,28964659,28995740,29170925,29470027,29594155,30655688,31588842,31692235,31839740,31884163,31925155,32034703,32386243,32430522,32462319,32589907,32991402,33321835,33325459,33832362,34484635,34487649,34794888,35005110,35207720,35279132,35512986,35699323,36195194,36217423,36574959,36594127,37102186,37338784,37505167,37684946,37804539,38030682,38207688,38310186,38347868,38772319,38806603,38845082,39026179,39144249,39263084,39517210,39608685,39795272,39861139,39986202,40725523,40876363,41056725,41306467,41381562,41672750,41876539,42006132,42008443,42080168,42134035,42186547,42249264,42296367,42427759,42983649,43351066,43386847,43433263,43751035,43793840,43923279,44365363,44769681,45691706,45952059,46098794,46128763,46320883,46557010,46567867,46979155,47340189,47420652,47530422,47975439,47992687,48274387,48551132,48768122,49268070,50007300,50053178,50172859,50398760,50560842,50658835,51204043,51593539,51707420,51719503,51826603,52028858,52448287,52501242,52528364,52552608,52755403,53341120,53578810,53870155,54099235,54105739,54521498,55178732,55868412,56090120,56374986,56698605,56814159,57325258,57898159,58101212,58215835,58680739,58926703,58956943,59121684,59532500,59958643,60008760,60468859,60478512,60508747,60725155,60758323,60790602,61218739,61981210,62048904,62861407,63002155,63101385,63156547,63346826,63379090,63519482,63774524,64009344,64294572,64465642,64644186,64896392,64919082,65057618,65501852,65502235,65830394,65855420,65863082,66172690,66476193,66761805,67006939,67308144,67509855,68038326,68167759,68963410,69189727,69358760,69512252,69705163,69805017,69859002,70594783,71062124,71212592,71392618,71439000,71504540,71747624,71753803,71834799,72010512,72870186,72898748,73008441,73016722,73199155,74076668,74326940,74377452,74552635,74567739,74606227,75040520,75411763,75602586,75658394,75721662,76054908,76124667,76201600,76355035,76723363,77520187,77538106,77930035,78028605,78602682,78737347,78826760,79026504,79113427,79138325,79150303,79407228,79857586,80114166,80216143,80368875,80555059,80716077,80923292,81011826,81074155,81262234,81975883,82134367,82181599,82317819,82530668,82565839,82755452,82756092,83092723,83166344,83230512,84420585,84469749,84657835,84685483,84895724,85487708,85726800,85742383,85805448,86669155,87309039,87428234,87785155,87838986,88073679,88677235,88680105,88904817,89123035,89192328,89375258,89463162,89629579,89796026,89802010,89948923,90048624,90143612,90871004,91045387,91145659,91441920,91520938,91626042,92189804,92932346,93022779,93350155,93516042,93562137,93634326,94022252,94043420,94044883,94441928,94460155,94592112,94703983,94965990,95037393,95347435,95409739,95709308,95809603,96442650,96455635,96531129,97288986,97528028,97538048,97558779,97750543,98325128,98384179,98669035,98780444,99035347,99131165,99305866,...,107003687261107894067401165125370768316201206880382490040866917263858627055702396578128661652222859492165602645257167465739648185219091339872547399247058527795276820740491956496763826862749155054760152434227499679964800531008438478013577024989281068963756288445592994256063889625374441306253933327972182159540876542671213456900103127710453375571536462224039198022823392101870336995464708730403405492420423865777921276669464486328442359711915152014173843607277817018586923118137109628561647633557602832684361827969423359925360646437027529815195352910320341757102648467405649488252174290407611340806207913739372832511536179690574428155206399857240789850633497834848392779000743219147377260785214446321300763886483960957283380684591959659490709450542186050376081510015126585304089710857136361202211400772094200946702009481245709026722538995216721976593579384142387895583622542380438638134746372329472282013235184164783363233032369889813630574486938082270641858558818340592332544953752189000888431318137317436694027242244480466214956422804953629241207218492585679382754326627894756152889899362719209431924480809965037138680340608964884986643311136118950882794614161098172265036215568331168052491385615356072085160500970653716035794838989340884684530768614158899214270223436698149581827501688573141837477459526699597746514817698750302778587188532580395750654644959987135539294884583389694085153308736171388825199736161176782246547855033971158566898930212026825913087812476824752061855462310416018510754705133310918198068185055591082395898235181442931059494081385509284288683236194750591357786895421291834511735080984297903428117832547925834650149545397912721623808025603215249789700145636612857196260469481456284605955120836894313120428427546009945887883567418032521212309346426295816286825893803337954195053550184552951443001046268267865110461449026423389182868360997359615804947589353664326004939288656364142266002057208909714188742945173664958441184200076815976836979798819296771891099427463762704773451341153226683184672413004137846411463090959995734528488007695721752369472545087553908292882781008667534553748265361673556201669348970864457683093966165774625651013843367769698458507603006008814669897216069235068895332999293282502787637233987411631660436700778721188422361733960230191346261734136180586642102289152227397115697864064745542313938508186943817233835565679206559836510195446028674383272459558125769440595441065326860564514461786912636204268673654526367371842371019937124099967638109548754892327819909993485167874813928828960340944533321316599644978120371519494499606648039643564826692276676563337717083648011410303583208647695506145709250343064812111797672894651513931306197005205341474092283657285905407573002287786020980863925004461126830873937958583299579222168104322022115120739368304614520253264085924813937158023815732738593792223910996648618716189439684208886478500415513034433040528843625481827458778141657371145932929444141857493776762771779251559244721920120315211858569325426240663588366701233046775166483452851961050860039646002649574937618484992346286309834865098699404395499377223807696671010644683052700423403542054532045200036921936812664629088972935940048024514605208519158126478624267165486925415658676777560523030357883673015302300314392028223819257669176890507010016486109881332917709098556815158508396431361777803688198200059863973427794987400692785865694503349366592827672488385191522171190473902966130063060759619921148080099997458525185149305987638427863848369218097188563074237179551844096954691965363230785330902118630592222561630602068904789354182448451027264530317310868401092659259106246892481800262628840991198904414131122786839086937334946056467942463618098938507218405012676033289536809631144774423348648780092366131838160401258697696403541849465286}
23838 411144590421969028896762800227348409771271138811090547639467856950926586722519: {119165,142998,166817,238310,262097,285972,452561,667156,809846,880637,953080,1072215,1095398,1143696,1286658,1687457,2236166,2302877,2477176,2786823,3529661,3576737,3619576,3930135,3942998,3953057,4072023,4192144,4226966,4716162,4985297,5406461,5640161,5800612,5835655,5902648,6060317,6072315,6369556,6386657,6477136,6526397,6619517,6640479,6938212,7002786,7058726,7224017,7286778,7905446,8183416,8187398,8336650,8644119,8890961,9206343,9858557,10003980,10272161,10353435,10670912,10718486,10834915,10914257,10998998,11043664,11220856,11646161,11909500,12004776,12424122,12603677,12623463,12679046,12740177,12835207,13001898,13240061,13496248,13505373,13648337,14291400,14630235,14869156,14869277,15011896,15183279,15244160,15433492,15478450,15605584,16077825,16888383,16905016,17070161,17149680,17338337,17472317,17556282,18064959,18241766,18292992,18336010,18363677,18574140,18630461,18674897,18896957,19018143,19030097,19293390,19623446,19812416,19937812,20136797,20579616,20635467,21441976,21458237,21826646,22003212,22116257,22288968,22335197,22376006,22743652,23152068,23296157,23472998,23514017,23746886,23949137,24122223,24166397,24340061,24730337,24946877,25075089,25379357,25542292,25638461,25932806,26101156,26194300,26823727,26886737,27187037,27529757,29065661,29235677,29394235,29448017,29565015,29872097,30006566,30445527,30806755,30864376,31357286,31433160,31536016,31673956,31694235,32022461,32399777,32671436,32901857,33242246,33277661,33431727,33528704,33807184,34152017,34722423,34732961,34820863,34898657,35146961,35183931,35273082,35362305,35478018,35655398,35766461,36244675,36724166,36820147,36959057,36968106,37257686,37623736,37719792,37753143,37818461,38033082,38319610,38592977,38836961,39405137,39651398,39688637,39799675,39890897,40617377,40899197,41220797,41702237,42118456,42326703,42434766,42561206,43240696,43258961,43283092,43417937,43493610,43616477,43656161,43988536,44009650,44012957,44098915,44246059,44448161,44666486,44928998,45109816,45276317,45394337,45630161,45865697,45983532,46375037,46393184,46501046,46673480,47350648,47383263,47759610,47807126,47934835,48011357,48321437,48360161,48592337,48645783,48766612,48940061,49078855,49171517,49487103,49710461,49744090,49889366,50286161,50406052,50408486,50439377,50515937,50630717,50707576,50748543,50898257,50943584,51080248,52154237,52192332,52230077,52343777,52507665,52570961,52600210,52811580,52918698,53269479,53314936,53740157,54026198,54292791,54742300,55050977,55054646,55175416,55311398,55535357,55653279,56008176,56092577,56314961,56332352,56395156,56527419,56784343,56869661,57046023,57054161,57311532,57465279,57521802,57643217,57973661,58267623,58486397,58564372,58894626,59252561,59275815,59579837,59692908,59942717,59979303,60340961,60688915,60882461,61026557,61269412,61422161,61430246,62072343,62311018,62509125,62779171,62998450,63009198,63120252,63227536,63373896,63385661,63704657,63916961,63955286,63967252,64093661,64458566,64622561,64634275,64657757,65026599,65660455,65690760,66465926,66676400,66716198,67414456,68274461,68308817,68537559,68788961,68823197,68973415,69148191,69210998,69459686,69608417,69835515,70001656,70070144,70112650,70321661,70660061,71031377,71130978,71295633,71368097,71444006,71871677,72626515,72770551,72826698,72973217,73152183,73471037,73902105,74131997,74362577,74415625,74491216,74658461,74877946,75010950,75079767,75166648,75598140,75607457,75752212,75841263,76905377,77388797,77561130,77581661,77934497,78043287,78062561,78509777,78751863,78792546,78828912,79652561,79718155,80011680,80259398,80368215,80596961,80638016,80910161,81054136,81097697,81120490,81378461,81534161,81782247,81813917,81877315,82123997,82319275,82636687,82731872,82768098,82926461,83110877,83417597,83637206,83802618,83967677,84135180,84562479,84575837,84757661,85345792,85391777,85482077,85662461,85726096,85842557,85987887,86034487,86192248,86231777,86271398,86291537,86381117,86558776,86698450,86890315,87151818,87224966,87302561,87745661,88634924,88682526,88827655,89015740,89298750,89325917,89380675,89684530,89744192,89835398,90013140,90071846,90682337,90717768,90796961,91123435,91185903,91197137,91251926,91396637,92467843,92595835,92908675,92971815,93062561,93073356,93145336,93366998,93760061,93800650,94176161,94466119,94893137,95020239,95068635,95252000,95279223,95304317,95659217,95661786,95779732,95822561,96014016,96202577,96441858,96473057,96554647,96633926,96698463,96966279,96993127,97160248,97344588,97378623,97586427,97793846,98025398,98211677,98252778,98533450,98745591,98783130,98794623,99169936,99259035,99317117,99395537,99423652,99552161,99890011,...,160505530891661841101101747688056152474301810320573735061300375895787940583553594867192992478334289238248403967885751198609472277828637009808821098870587791692915231110737934745145740294123732582140228651341249519947200796512657717020365537483921603445634432668389491384095834438061661959380899991958273239311314814006820185350154691565680063357304693336058797034235088152805505493197063095605108238630635798666881915004196729492663539567872728021260765410916725527880384677205664442842471450336404249026542741954135039888040969655541294722793029365480512635653972701108474232378261435611417011209311870609059248767304269535861642232809599785861184775950246752272589168501114828721065891177821669481951145829725941435925071026887939489236064175813279075564122265022689877956134566285704541803317101158141301420053014221868563540083808492825082964890369076213581843375433813570657957202119558494208423019852776247175044849548554834720445861730407123405962787838227510888498817430628283501332646977205976155041040863366720699322434634207430443861810827738878519074131489941842134229334849044078814147886721214947555708020510913447327479964966704178426324191921241647258397554323352496752078737078423034108127740751455980574053692258484011327026796152921238348821405335155047224372741252532859712756216189290049396619772226548125454167880782798870593625981967439980703308942326875084541127729963104257083237799604241765173369821782550956737850348395318040238869631718715237128092783193465624027766132057699966377297102277583386623593847352772164396589241122078263926433024854292125887036680343131937751767602621476446855142176748821888751975224318096869082435712038404822874684550218454919285794390704222184426908932681255341469680642641319014918831825351127048781818464019639443724430238840705006931292580325276829427164501569402401797665692173539635083774302541496039423707421384030496489007408932984546213399003085813364571283114417760497437661776300115223965255469698228945157836649141195644057160177011729840024777008619506206769617194636439993601792732011543582628554208817631330862439324171513001301830622398042510334302504023456296686524640949248661938476520765051654547687761404509013222004845824103852603342999498939923754181455850981117447490655051168081782633542600940345287019392601204270879963153433728341095673546796097118313470907762280415725850753348518809839754765293169043011574908689337188654160893161597990290846771692680368954306403010481789551057763556529905686149951457164323132338491729864990227751812220893243440511416799981974899467467180557279241749409972059465347240038415014845006575625472017115455374812971543259218563875514597218167696509341977270896959295507808012211138425485928858111359503431679031471295887506691690246310906937874949368833252156483033172681109052456921780379896128887220905737035723599107890688335866494972928074284159526313329717750623269551649560793265438222741188167212486056718899394166212786240665144157668877338867082880180472817787853988139360995382550051849570162749725179277941576290059469003974362406427727488519429464752297648049106593249065835711545006515967024579050635105313081798067800055382905218996943633459403910072036771907812778737189717936400748230388123488015166340784545536825509522953450471588042335728886503765335760515024729164821999376563647835222737762594647042666705532297300089795960141692481101039178798541755024049889241508732577787283256785710854449195094591139429881722120149996187787777723958981457641795772553827145782844611355769327766145432037948044846177996353177945888333842445903103357184031273672676540896795475966302601638988888659370338722700393943261486798356621196684180258630406002419084701913695427148407760827607519014049934305214446717161635022973170138549197757240601888046544605312774197929}
23839 412592899604974916494950668305937166204370515293947694037924296820463482664187: {190664,214497,357465,381296,428958,833945,1000734,1191350,1214769,1429620,1524928,1643097,1715544,1929987,2167529,3096470,3167129,3354249,3668126,3715764,4024397,4524470,5164817,5240180,5429364,5667494,5914497,6288216,6340449,6810518,7074243,7160489,7250765,7378310,7961945,8096420,8592161,8672765,8700918,8853972,9337048,9554334,9663206,9715704,9818249,10229270,10407318,10504179,10588089,10930167,11442509,11525492,11809217,11858169,12275124,12281097,12504975,13135409,13338640,13654886,13804580,14011721,14026070,14232998,14791889,14886875,15005970,15375446,15947657,16006368,16077729,16379597,16498497,16565496,16831284,16870310,17335864,17511857,17864250,18007164,18229289,18586445,18636183,18761729,18764870,19018569,19055200,19291865,19364246,19502847,19506980,20244372,21131270,21229289,21437100,22303734,22517844,22541597,22866240,23150238,23217675,23408376,23511497,23933369,24086612,24388169,24390656,24640157,24765520,24922265,25073606,25357524,25508429,25618697,25724520,26215478,26334423,26636081,26802470,27006329,27362649,27439488,27504015,27513956,27594014,27719318,27861210,28429565,28439081,28940085,29337616,29435169,29581286,29637449,29718624,29906718,30207857,30237569,30849566,30869424,31886849,31927865,32162964,32626445,32739969,32742875,32920769,32937089,32993129,33004818,33433452,33564009,34115478,34619777,34728102,35209497,35620329,35635241,36045437,36220481,36853649,37835609,37989254,38147318,38313438,38489969,38580470,38899209,39151734,39291450,39327497,39420020,39471089,39592445,39864497,40594036,40839295,40879817,41272286,41431817,41531969,41910880,42190109,42258980,42802409,42828134,43354718,43848038,43919297,44369129,44575636,44695217,44835878,44905577,45009849,45516761,45862349,46132649,46296564,46650569,46911908,47029670,47030776,47035929,47149740,47304024,47510934,47664566,48278489,48308429,49007154,49290808,49310057,49863369,50141897,50293056,50337524,50710776,51233078,51384254,51723881,51830969,52648070,52909623,52917089,53217027,53483097,53583437,54050870,54103865,54109334,54110297,54985670,55086249,55324094,55452159,55834526,55886529,56387270,56435604,56517926,56579688,57049623,57479415,57929318,57991480,58341850,58940054,58961921,58987649,59188310,59295197,59445881,59477097,60513869,60763457,60958265,61123049,61251449,61311376,63007565,63177684,63384470,63652149,63679480,63768326,63841809,63850310,64069406,64772486,64861044,64924638,65179814,65240415,65440721,65770817,65982804,66014475,66643670,66650918,66999729,67012601,67393497,67664724,67906361,68425097,68427875,68969270,68975298,69195569,69589776,69640649,69751569,70010220,70223417,70415440,70493945,70558264,70586729,70922369,71025972,71398646,71463197,71639415,71710689,72390388,72434846,72841049,73149918,73188254,73205465,74204372,74616135,74677568,74834049,75010334,75369892,75418217,75609078,75612729,75695369,75738929,76061364,76415376,76586765,76620372,76695736,76825841,77526749,77544638,77613206,77690164,78052358,78288498,78526168,78900315,79034420,79217370,79378047,79590544,79722278,79916609,79959065,79972404,80561897,81039297,81379889,81451046,81502169,81752726,82113450,82378829,82581969,82612934,82763124,82967097,83345500,83753078,84012264,84016886,84160336,84226169,84268070,84373094,84498528,84592734,84799949,84855518,85015217,85364681,85552577,85749641,85967298,86282703,86640209,86702132,86773694,86866526,87502070,87587680,87846558,88203017,88341939,88420889,88730726,89463809,89539362,91383412,91703129,91847549,91904118,92145369,92197588,92257526,92641766,93114020,93135734,93466527,93958310,94497675,94513797,94648481,94680378,94690265,94841304,95060844,95417801,95932929,95950878,95985374,96152297,96548774,96611357,96687849,96880589,97102264,97536244,98536140,99043709,99698889,...,214007374522215788134802330250741536632402413760764980081733834527717254111404793156257323304445718984331205290514334931479296370438182679745094798494117055590553641480983912993527653725498310109520304868454999359929601062016876956027154049978562137927512576891185988512127779250748882612507866655944364319081753085342426913800206255420906751143072924448078396045646784203740673990929417460806810984840847731555842553338928972656884719423830304028347687214555634037173846236274219257123295267115205665368723655938846719850721292874055059630390705820640683514205296934811298976504348580815222681612415827478745665023072359381148856310412799714481579701266995669696785558001486438294754521570428892642601527772967921914566761369183919318981418901084372100752163020030253170608179421714272722404422801544188401893404018962491418053445077990433443953187158768284775791167245084760877276269492744658944564026470368329566726466064739779627261148973876164541283717117636681184665089907504378001776862636274634873388054484488960932429912845609907258482414436985171358765508653255789512305779798725438418863848961619930074277360681217929769973286622272237901765589228322196344530072431136662336104982771230712144170321001941307432071589677978681769369061537228317798428540446873396299163655003377146283674954919053399195493029635397500605557174377065160791501309289919974271078589769166779388170306617472342777650399472322353564493095710067942317133797860424053651826175624953649504123710924620832037021509410266621836396136370111182164791796470362885862118988162771018568577366472389501182715573790842583669023470161968595806856235665095851669300299090795825443247616051206430499579400291273225714392520938962912569211910241673788626240856855092019891775767134836065042424618692852591632573651787606675908390107100369105902886002092536535730220922898052846778365736721994719231609895178707328652009878577312728284532004114417819428377485890347329916882368400153631953673959597638593543782198854927525409546902682306453366369344826008275692822926181919991469056976015391443504738945090175107816585765562017335069107496530723347112403338697941728915366187932331549251302027686735539396917015206012017629339794432138470137790665998586565005575274467974823263320873401557442376844723467920460382692523468272361173284204578304454794231395728129491084627877016373887634467671131358413119673020390892057348766544919116251538881190882130653721129028923573825272408537347309052734743684742039874248199935276219097509784655639819986970335749627857657920681889066642633199289956240743038988999213296079287129653384553353126675434167296022820607166417295391012291418500686129624223595345789303027862612394010410682948184567314571810815146004575572041961727850008922253661747875917166599158444336208644044230241478736609229040506528171849627874316047631465477187584447821993297237432378879368417772957000831026068866081057687250963654917556283314742291865858888283714987553525543558503118489443840240630423717138650852481327176733402466093550332966905703922101720079292005299149875236969984692572619669730197398808790998754447615393342021289366105400846807084109064090400073843873625329258177945871880096049029210417038316252957248534330973850831317353555121046060715767346030604600628784056447638515338353781014020032972219762665835418197113630317016792862723555607376396400119727946855589974801385571731389006698733185655344976770383044342380947805932260126121519239842296160199994917050370298611975276855727696738436194377126148474359103688193909383930726461570661804237261184445123261204137809578708364896902054529060634621736802185318518212493784963600525257681982397808828262245573678173874669892112935884927236197877014436810025352066579073619262289548846697297560184732263676320802517395392807083698930572}
23840 414046277567404558319800446420943290131929569047480624496466547234984201283837: {166831,238330,285996,309751,333634,476620,524194,571944,643437,905122,1334312,1501101,1592791,1619692,1734991,1761274,1787025,1877119,1906160,2144430,2190796,2287392,2303071,2573316,3374914,3577039,3859351,4472332,4605754,4644705,4954352,4985719,5502189,5573646,5687359,6526951,6550225,6666631,6786705,7059322,7153474,7239152,7781479,7860270,7885996,7906114,8144046,8169917,8384288,8453932,8501241,8614591,9432324,9583279,9970594,10120525,10215777,10812922,11067465,11280322,11601224,11671310,11805296,12120634,12144630,12739112,12741271,12773314,12954272,13051377,13052794,13239034,13280958,13286599,13876424,14005572,14117452,14238151,14331501,14406865,14448034,14494809,14573556,14644879,14915671,15168881,15343905,15591391,15610977,15810892,16366832,16374796,16399879,16673300,17255725,17288238,17741599,17781922,18142711,18412686,18676519,18942991,19076119,19717114,20007960,20138551,20482329,20544322,20706870,21039105,21064399,21341824,21349497,21436972,21669830,21828514,21997996,22087328,22441712,22508955,23063169,23292322,23559631,23819000,24009552,24211951,24383725,24848244,25207354,25246926,25305465,25358092,25480354,25511191,25670414,26003796,26480122,26545399,26796375,26992496,27010746,27189439,27296674,28147305,28582800,29046369,29110759,29238271,29260470,29738312,29738554,30023792,30108265,30366558,30488320,30866984,30956900,31211168,31394959,31696905,32155650,32653879,32904799,33455601,33776766,33810032,34140322,34299360,34392445,34528759,34676674,34725357,34901791,34944634,35112564,36129918,36483532,36585984,36672020,36727354,37003399,37148280,37260922,37349794,37494871,37610409,37793914,38036286,38060194,38586780,38596471,39205951,39246892,39323217,39449239,39624832,39692239,39875624,40203705,40273594,41151929,41159232,41264719,41270934,41391021,41578977,41791815,42883952,42916474,43129457,43653292,43660159,44006424,44232514,44371929,44577936,44670394,44728711,44752012,44860077,45319831,45437839,45487304,45909151,46274349,46304136,46592314,46945996,47028034,47199319,47493772,47898274,48244446,48332794,48364639,48596839,48680122,48958657,49176079,49275025,49460674,49507227,49753519,49893754,50150178,50329159,50444071,50742545,50758714,51084584,51173217,51276922,51865612,52092153,52202312,52290797,52388600,52823725,53647454,53745199,53773474,54374074,54420631,55059514,55093471,55719545,56097871,56542399,56653351,56764231,56983881,57220977,57427999,57470157,57870705,58131322,58471354,58639885,58727601,58788470,58896034,58937175,59130030,59744194,59948431,60013132,60891054,61613510,61679311,61728752,61738481,61908429,62714572,62866320,62921905,63072032,63347912,63388470,63710791,64044922,64242201,64452679,64663999,64799554,65032077,65342872,65772057,65803714,66484492,66552919,66555322,66863454,67057408,67108769,67253817,67614368,67902631,68109199,68304034,68315479,68710397,68829919,69444846,69465922,69641726,69797314,70057231,70293922,70367862,70544505,70546164,70724610,70956036,71173159,71266401,71310796,71475991,71496849,71532922,72380599,72489350,72980431,73448332,73510731,73640294,73918114,73936212,74369959,74468671,74515372,74961151,75059431,75157639,75247472,75439584,75506286,75636922,75647599,76038271,76066164,76639220,76849617,76913071,77076381,77185954,77396551,77673922,78810274,78972105,79302796,79377274,79599350,79692199,79781794,79786951,81076305,81164001,81234754,81760111,81798394,81853279,82441594,82478505,82965679,82986141,83150071,83404474,83475601,83751789,83976271,84236912,84580905,84614839,84653406,84776889,84869532,84887431,84964481,84978151,85122412,85881391,86481392,86517922,86566184,86835874,86893977,86987220,87133831,87232954,87312322,87512775,87977072,88019300,88019791,88025914,88197830,88372159,88410081,88492118,88547911,88782465,88810999,88896322,89332972,89335231,89857996,90219632,90487985,90552634,90788674,90806479,91235239,91260322,91731394,91832479,91924637,91967064,92256919,92750074,92755465,92786368,93002092,93346960,94212365,94701296,94766526,95076705,95519220,95614252,95652489,95775465,95869670,96022714,96104109,96562781,96642874,96645319,96720322,97112705,97158729,97184674,97291566,97386957,97533224,97769721,97880122,98157710,98343034,98565991,98793025,98882071,98974206,99420922,99488180,99667231,99745351,99778732,99965505,99976377,...,321011061783323682202203495376112304948603620641147470122600751791575881167107189734385984956668578476496807935771502397218944555657274019617642197741175583385830462221475869490291480588247465164280457302682499039894401593025315434040731074967843206891268865336778982768191668876123323918761799983916546478622629628013640370700309383131360126714609386672117594068470176305611010986394126191210216477261271597333763830008393458985327079135745456042521530821833451055760769354411328885684942900672808498053085483908270079776081939311082589445586058730961025271307945402216948464756522871222834022418623741218118497534608539071723284465619199571722369551900493504545178337002229657442131782355643338963902291659451882871850142053775878978472128351626558151128244530045379755912269132571409083606634202316282602840106028443737127080167616985650165929780738152427163686750867627141315914404239116988416846039705552494350089699097109669440891723460814246811925575676455021776997634861256567002665293954411952310082081726733441398644869268414860887723621655477757038148262979883684268458669698088157628295773442429895111416041021826894654959929933408356852648383842483294516795108646704993504157474156846068216255481502911961148107384516968022654053592305842476697642810670310094448745482505065719425512432378580098793239544453096250908335761565597741187251963934879961406617884653750169082255459926208514166475599208483530346739643565101913475700696790636080477739263437430474256185566386931248055532264115399932754594204555166773247187694705544328793178482244156527852866049708584251774073360686263875503535205242952893710284353497643777503950448636193738164871424076809645749369100436909838571588781408444368853817865362510682939361285282638029837663650702254097563636928039278887448860477681410013862585160650553658854329003138804803595331384347079270167548605082992078847414842768060992978014817865969092426798006171626729142566228835520994875323552600230447930510939396457890315673298282391288114320354023459680049554017239012413539234389272879987203585464023087165257108417635262661724878648343026002603661244796085020668605008046912593373049281898497323876953041530103309095375522809018026444009691648207705206685998997879847508362911701962234894981310102336163565267085201880690574038785202408541759926306867456682191347093592194236626941815524560831451701506697037619679509530586338086023149817378674377308321786323195980581693543385360737908612806020963579102115527113059811372299902914328646264676983459729980455503624441786486881022833599963949798934934361114558483498819944118930694480076830029690013151250944034230910749625943086518437127751029194436335393018683954541793918591015616024422276850971857716222719006863358062942591775013383380492621813875749898737666504312966066345362218104913843560759792257774441811474071447198215781376671732989945856148568319052626659435501246539103299121586530876445482376334424972113437798788332425572481330288315337754677734165760360945635575707976278721990765100103699140325499450358555883152580118938007948724812855454977038858929504595296098213186498131671423090013031934049158101270210626163596135600110765810437993887266918807820144073543815625557474379435872801496460776246976030332681569091073651019045906900943176084671457773007530671521030049458329643998753127295670445475525189294085333411064594600179591920283384962202078357597083510048099778483017465155574566513571421708898390189182278859763444240299992375575555447917962915283591545107654291565689222711538655532290864075896089692355992706355891776667684891806206714368062547345353081793590951932605203277977777318740677445400787886522973596713242393368360517260812004838169403827390854296815521655215038028099868610428893434323270045946340277098395514481203776093089210625548395858}
23841 415504741933821238784625124350892062456210370200143251915973923364562476389179: {357495,381328,428994,500451,595775,714930,762592,786291,857916,1167523,1357683,1667890,2001468,2024615,2382700,2429538,2641911,2738495,2859240,2882099,3049856,3216645,3286194,3431088,3859974,4335058,4453031,5062371,5590415,6192940,6334258,6708498,6908631,7336252,7431528,7592519,8048794,8360469,9048940,9306191,9857495,10151071,10329634,10480360,10567415,10588983,10728839,10730211,10858728,11146723,11334988,11790405,11828994,11859171,12141871,12216069,12576432,12680898,13621036,14148486,14320978,14501530,14756620,14955891,15867263,15923890,16192840,16219383,16920483,17184322,17345530,17401836,17506965,17646815,17707944,18180951,18216945,18674096,18847231,19108668,19159971,19326412,19431408,19579191,19636498,19763615,19858551,19921437,20458540,20468495,20695831,20814636,20841625,21008358,21176178,21672051,21681011,21860334,22885018,23050984,23242439,23618434,23716338,24550248,24562194,25009950,25932357,26021023,26270818,26672883,26677280,26796215,27008611,27267631,27309772,27497495,27538999,27609160,27619029,28023442,28052140,28465996,28669871,29575671,29583778,29773750,30011940,30750892,30816483,31060305,31681411,31697615,31895314,32012736,32155458,32504745,32537023,32742771,32759194,32996994,33130992,33498551,33609823,33662568,33740620,34671728,34891171,34938483,35023714,35638243,35728500,36014328,36458578,37172890,37272366,37523458,37529740,37803751,37811031,37870389,38037138,38110400,38220531,38505621,38583730,38696125,38728492,38778851,39005694,39013960,39720183,39801391,40488744,40516119,40641383,40945011,42262540,42458578,42806023,42874200,43468931,43890705,44607468,44607831,44699011,45035688,45083194,45549837,45604415,45677023,45732480,45772031,45840025,46300476,46418083,46435350,46477951,46816752,47022994,47866738,48173224,48233475,48312511,48776338,48781312,48882719,49058615,49280314,49314211,49531040,49844530,50147212,50665149,50715048,51016858,51210483,51212711,51237394,51449040,51602231,52015011,52416951,52430956,52457123,52668846,53272162,53587951,53604940,54012658,54194877,54566615,54725298,54878976,55008030,55027912,55091031,55167023,55188028,55429423,55438636,55722420,55891383,55940015,56024691,56690871,56859130,56878162,57054429,57090291,57175013,57429479,57880170,58675232,58682495,58870338,58936691,59138831,59162572,59274898,59367215,59437248,59813436,60410391,60415714,60475138,61128223,61699132,61738848,61906401,63773698,63855730,64325928,64374711,64832015,65252890,65479938,65485750,65841538,65874178,65986258,66009636,66348771,66866904,67005591,67128018,67912099,68179331,68230956,69239554,69456204,69716999,69888471,70254223,70418994,70542051,71240658,71270482,71368931,71847411,72090874,72366669,72440962,72499191,72789959,73020183,73707298,74191011,74840631,75016415,75225267,75671218,75745411,75859751,75978508,76138071,76294636,76626876,76736351,76915383,76979938,77160940,77798418,78303468,78393215,78582900,78654994,78840040,78942178,79126823,79184890,79728994,80471181,80573443,80660211,81113663,81188072,81561111,81678590,81759634,82544572,82589271,82863634,82991311,83063938,83105615,83821760,84380218,84517960,85341571,85604818,85656268,86647543,86709436,87196983,87696076,87707031,87838594,88182705,88210591,88258399,88344051,88695045,88738258,89138495,89151272,89318563,89390434,89616291,89671756,89811154,90019698,91033522,91336581,91724698,91810415,92265298,92420265,92593128,93144215,93301138,93823816,94059340,94061552,94071858,94299480,94608048,95021868,95082705,95329132,95799025,96067383,96556978,96616858,97199331,98014308,98581616,98620114,98691523,98705571,98782211,99128495,99726738,99832983,99988963,...,481516592674985523303305243064168457422905430961721205183901127687363821750660784601578977435002867714745211903657253595828416833485911029426463296611763375078745693332213804235437220882371197746420685954023748559841602389537973151061096612451764810336903298005168474152287503314184985878142699975874819717933944442020460556050464074697040190071914080008176391102705264458416516479591189286815324715891907396000645745012590188477990618703618184063782296232750176583641154031616993328527414351009212747079628225862405119664122908966623884168379088096441537906961918103325422697134784306834251033627935611827177746301912808607584926698428799357583554327850740256817767505503344486163197673533465008445853437489177824307775213080663818467708192527439837226692366795068069633868403698857113625409951303474423904260159042665605690620251425478475248894671107228640745530126301440711973871606358675482625269059558328741525134548645664504161337585191221370217888363514682532665496452291884850503997940931617928465123122590100162097967303902622291331585432483216635557222394469825526402688004547132236442443660163644842667124061532740341982439894900112535278972575763724941775192662970057490256236211235269102324383222254367941722161076775452033981080388458763715046464216005465141673118223757598579138268648567870148189859316679644376362503642348396611780877945902319942109926826980625253623383189889312771249713398812725295520109465347652870213551045185954120716608895156145711384278349580396872083298396173099899131891306832750159870781542058316493189767723366234791779299074562876377661110041029395813255302807864429340565426530246465666255925672954290607247307136115214468624053650655364757857383172112666553280726798043766024409041927923957044756495476053381146345455392058918331173290716522115020793877740975830488281493504708207205392997076520618905251322907624488118271122264152091489467022226798953638640197009257440093713849343253281492312985328900345671895766409094686835473509947423586932171480531035189520074331025858518620308851583909319980805378196034630747885662626452893992587317972514539003905491867194127531002907512070368890059573922847745985815429562295154963643063284213527039666014537472311557810028998496819771262544367552943352342471965153504245347900627802821035861058177803612812639889460301185023287020640388291354940412723286841247177552260045556429519264295879507129034724726068011565962482679484793970872540315078041106862919209031445368653173290669589717058449854371492969397015475189594970683255436662679730321534250399945924698402401541671837725248229916178396041720115245044535019726876416051346366124438914629777655691626543791654503089528025931812690877886523424036633415276457786574334078510295037094413887662520075070738932720813624848106499756469449099518043327157370765341139688386661662717211107170797323672065007599484918784222852478578939989153251869808654948682379796314668223564501637458170156698182498638358721995432473006632016601248640541418453363561964418082986147650155548710488249175537833824728870178407011923087219283182465558288394256892944147319779747197507134635019547901073737151905315939245394203400166148715656990830900378211730216110315723438336211569153809202244691164370464045499022353636610476528568860351414764127007186659511296007281545074187494465998129690943505668213287783941128000116596891900269387880425077443303117536395625265072149667724526197733361849770357132563347585283773418289645166360449988563363333171876944372925387317661481437348533834067307983298436296113844134538533989059533837665001527337709310071552093821018029622690386427898907804916966665978111016168101181829784460395069863590052540775891218007257254105741086281445223282482822557042149802915643340151484905068919510415647593271721805664139633815938322593787}
23842 416968310389672323699223600245477454973060917966479979496887568700646236511467: {262141,333662,476660,547837,571992,619502,643491,667268,690577,953240,975841,1048388,1072395,1143888,1260817,1286874,1810244,2114017,2397841,2501835,2668624,2978375,3002202,3185582,3239384,3469982,3522548,3574050,3644307,3754238,3812320,4094737,4235677,4288860,4381592,4574784,4606142,4929291,5146632,5500897,5641117,5789961,6502587,6620641,6749828,6899857,7154078,7318141,7718702,7741175,8944664,8984797,9170315,9211508,9289410,9501387,9908704,9971438,10062747,10365757,11004378,11147292,11311175,11374718,11739517,11876497,12073191,12150241,13053902,13100450,13106077,13333262,13573410,14118644,14168735,14306948,14478304,14871841,15142417,15494451,15562958,15720540,15771992,15812228,15817597,16288092,16339834,16768576,16907864,17002482,17026295,17162557,17229182,17564641,17743491,18445775,18864648,18900241,19021347,19166558,19299517,19941188,20169611,20228641,20241050,20431554,21222729,21481467,21549841,21625844,21752295,22134930,22207741,22470397,22560644,23202448,23342620,23518141,23610592,23885835,24158015,24241268,24289260,24821341,25081117,25478224,25482542,25546628,25573175,25776483,25908544,26018295,26102754,26105588,26117341,26375677,26478068,26561916,26573198,27663037,27752848,27791377,28011144,28234904,28476302,28663002,28813730,28896068,28989618,29147112,29289758,29325841,29454747,29831342,30337762,30596641,30687810,30849937,31182782,31221954,31512537,31608097,31621784,31764267,32112097,32489341,32733664,32749592,32790501,32799758,33346600,33367057,33492157,34137215,34327527,34511450,34576476,34739197,34987741,35065175,35235997,35427651,35483198,35563844,35574507,35582495,35855377,36285422,36825372,36843291,37353038,37514925,37825297,37885982,38152238,38314897,38438615,39406227,39434228,39898141,40015920,40277102,40964658,41088644,41413740,41950177,42035163,42078210,42128798,42151571,42175775,42310141,42669457,42683648,42698994,42873944,43266877,43339660,43657028,43743517,43995992,44174656,44375667,44456317,44660625,44883424,45017910,45048337,46126338,46226977,46461841,46584644,46912175,47119262,47638000,47842971,48019104,48149423,48233187,48410615,48423902,48446557,48767450,49026337,49138791,49495491,49696488,50295517,50414708,50493852,50525341,50610930,50716184,50960708,51022382,51340828,51898237,52007592,52239841,52535571,52580797,52828175,52960244,53090798,53592750,53984992,54021492,54378878,54593348,54687867,54718499,55620241,55759335,55908549,56285187,56294610,56399677,56954257,57055707,57064957,57165600,57837841,57860231,57875595,58058017,58092738,58221518,58476542,58508541,58520940,59263837,59476624,59477108,60026641,60047584,60216530,60352477,60733116,60785917,60976640,61433917,61733968,61864477,61913800,61971937,62422336,62684015,62789918,63393810,63687867,63999997,64106017,64311300,65307758,65538695,65809598,66106717,66911202,67006175,67553532,67620064,67624791,67771357,68280644,68598720,68784890,68802397,68985035,69057518,69298295,69353348,69450714,69653025,69803582,69889268,70225128,70335457,70534491,71039563,71800107,72259836,72554641,72754657,72967064,73164507,73171968,73253437,73344040,73454708,73849597,73920471,73953215,74006798,74296560,74521844,74699588,74766795,74837437,74989742,75220818,75587828,75818077,76072572,76120388,76500241,76525287,76856091,76985341,77123915,77173560,77178877,77192942,77468641,78007363,78142237,78238177,78411902,78493784,78646434,78898478,79003269,79193617,79249664,79383841,79384478,79751248,79908243,80141857,80407410,80547188,80613277,80801341,81018987,81457297,82087947,82095839,82303858,82318464,82512045,82529438,82541868,82782042,83157954,83403997,83583630,83587741,83771197,83862817,85137937,85288695,85317243,85680097,85767904,85832948,85860241,86258914,86309341,86488477,86820255,87306584,87320318,87379837,88012848,88090667,88263997,88305507,88465028,88743858,88912347,89155872,89232539,89340788,89457422,89504024,89663677,89720154,90010717,90270241,90623571,90639662,90712707,90875678,90974608,91818302,92548698,92608272,93184628,93250141,93417757,93835537,93891992,94056068,94251517,94398638,94748317,94973135,94987544,95368295,95570557,95660547,95783595,95796548,96451175,96488892,96547741,96665588,96729278,97193678,97360244,97879335,97917314,98219907,98228625,98312317,98352158,98550050,98652983,98762307,98811267,98921348,98979387,99014454,99338641,99507038,99573757,99787508,...,642022123566647364404406990752224609897207241282294940245201503583151762334214379468771969913337156952993615871543004794437889111314548039235284395482351166771660924442951738980582961176494930328560914605364998079788803186050630868081462149935686413782537730673557965536383337752246647837523599967833092957245259256027280741400618766262720253429218773344235188136940352611222021972788252382420432954522543194667527660016786917970654158271490912085043061643666902111521538708822657771369885801345616996106170967816540159552163878622165178891172117461922050542615890804433896929513045742445668044837247482436236995069217078143446568931238399143444739103800987009090356674004459314884263564711286677927804583318903765743700284107551757956944256703253116302256489060090759511824538265142818167213268404632565205680212056887474254160335233971300331859561476304854327373501735254282631828808478233976833692079411104988700179398194219338881783446921628493623851151352910043553995269722513134005330587908823904620164163453466882797289738536829721775447243310955514076296525959767368536917339396176315256591546884859790222832082043653789309919859866816713705296767684966589033590217293409987008314948313692136432510963005823922296214769033936045308107184611684953395285621340620188897490965010131438851024864757160197586479088906192501816671523131195482374503927869759922813235769307500338164510919852417028332951198416967060693479287130203826951401393581272160955478526874860948512371132773862496111064528230799865509188409110333546494375389411088657586356964488313055705732099417168503548146721372527751007070410485905787420568706995287555007900897272387476329742848153619291498738200873819677143177562816888737707635730725021365878722570565276059675327301404508195127273856078557774897720955362820027725170321301107317708658006277609607190662768694158540335097210165984157694829685536121985956029635731938184853596012343253458285132457671041989750647105200460895861021878792915780631346596564782576228640708046919360099108034478024827078468778545759974407170928046174330514216835270525323449757296686052005207322489592170041337210016093825186746098563796994647753906083060206618190751045618036052888019383296415410413371997995759695016725823403924469789962620204672327130534170403761381148077570404817083519852613734913364382694187184388473253883631049121662903403013394075239359019061172676172046299634757348754616643572646391961163387086770721475817225612041927158204231054226119622744599805828657292529353966919459960911007248883572973762045667199927899597869868722229116966997639888237861388960153660059380026302501888068461821499251886173036874255502058388872670786037367909083587837182031232048844553701943715432445438013726716125885183550026766760985243627751499797475333008625932132690724436209827687121519584515548883622948142894396431562753343465979891712297136638105253318871002493078206598243173061752890964752668849944226875597576664851144962660576630675509355468331520721891271151415952557443981530200207398280650998900717111766305160237876015897449625710909954077717859009190592196426372996263342846180026063868098316202540421252327192271200221531620875987774533837615640288147087631251114948758871745602992921552493952060665363138182147302038091813801886352169342915546015061343042060098916659287997506254591340890951050378588170666822129189200359183840566769924404156715194167020096199556966034930311149133027142843417796780378364557719526888480599984751151110895835925830567183090215308583131378445423077311064581728151792179384711985412711783553335369783612413428736125094690706163587181903865210406555955554637481354890801575773045947193426484786736721034521624009676338807654781708593631043310430076056199737220857786868646540091892680554196791028962407552186178421251096791716}
23843 418437000681498217416887925836690171074960109129139232053403628231367387959428: {500493,595825,714990,762656,834085,857988,929253,1000902,1191550,1310485,1429860,1525184,1572582,1715832,1930311,2262805,2335046,2715366,2834461,3335780,3406117,3833893,4002936,4049230,4403185,4503303,4765400,4778373,4859076,4976917,5204973,5262673,5283822,5361075,5476990,5631357,5718480,5764198,6099712,6433290,6572388,6862176,6909213,7719948,7826581,8116141,8437285,8670116,8906062,8972977,10124742,10401037,10731117,11180830,11252197,11514385,11578053,12385880,12668516,12679537,13416996,13800493,13817262,13934115,14672504,14794381,14863056,14957157,14963281,15185038,15428677,16097588,16506567,16720938,16961557,17062077,17648305,17883685,18097880,18557341,18612382,19580853,19650675,19714990,19765285,19999893,20302142,20360115,20641357,20659268,20960720,21134830,21177966,21419473,21457678,21460422,21717456,22293446,22669976,23244397,23344437,23580810,23657988,23718342,23838301,24283742,24432138,24509751,24705541,24926485,25152864,25361796,25503723,25623013,25698613,25843773,27032305,27242072,27468337,27669061,28200805,28266097,28296972,28641956,28655893,28749837,28971973,29003060,29178275,29477473,29482717,29513240,29911782,30301585,30361575,30647331,31734526,31847780,31892221,31933285,32042797,32243677,32385680,32394421,32438766,32631985,33097585,33202395,33501373,33840966,34368644,34691060,34803672,35013930,35293630,35415888,36120085,36361902,36433890,36520657,36603373,37348192,37439557,37514701,37694462,38217336,38223813,38319942,38496493,38652824,38862816,39154131,39158382,39272996,39527230,39717102,39842874,39859797,39871213,39942241,40917080,40936990,41391662,41629272,41683250,42016716,42019057,42352356,42438517,42714453,42994503,43137397,43144861,43220595,43344102,43362022,43444237,43484427,43720668,43934637,44376661,44454805,44747013,45506643,45770036,46031715,46101968,46140421,46484878,46579633,46774173,46832931,47236868,47432676,48004813,48886837,49100496,49124388,49199637,49292785,50019900,50259697,51360805,51372373,51732637,51767175,51839701,51864714,52042046,52253941,52541636,53224797,53345766,53354560,53592430,54017222,54119413,54174575,54428133,54535262,54571285,54619544,54994990,55077998,55099237,55171681,55218320,55238058,55972381,56029557,56046884,56104280,56828973,56931992,57228357,57339742,57434317,57912877,58230805,59143813,59151342,59167556,59376241,59455957,59547500,59973841,60023880,60230917,60415653,60484237,60524113,61446987,61501784,61632966,61657261,62025997,62120610,63018385,63117315,63172561,63193197,63362822,63395230,63700885,63790628,63846181,64025472,64048491,64176035,64310916,65009490,65074046,65107141,65485542,65518388,65570173,65993988,66200305,66261984,66997102,67219646,67325136,67481240,67526865,68241685,68682061,69189507,69343456,69652453,69722917,69782342,69876966,70047428,70235341,70678893,71276486,71374957,71457000,72028656,72635853,72917156,73151175,73308037,74345780,74346385,74544732,75046916,75059480,75607502,75622062,75740778,75866197,75916395,76074276,76220800,76393261,76441062,76533573,77011242,77167460,77392250,77456984,77539873,77557702,78011388,78027920,78316021,79133521,79440366,79602782,79636197,79930141,80389125,80575573,80715757,80977488,81032238,81120517,81282766,81568317,81890022,82155493,82202437,82392817,83114101,84441915,84525080,84917156,85350805,85447093,85612046,85748400,85764157,86024497,86691685,86937862,87139107,87239221,87332277,87361585,87714813,87781410,88435861,89214936,89215662,89254597,89398022,89478973,89652433,90071376,90166388,90324795,90764821,91068541,91099674,91208830,91354046,91464960,91544062,91680050,91818385,92600952,92694877,92836166,92870700,92955902,93152305,93374485,93451873,93633504,94045988,94068721,94184877,94484785,95090715,95150485,95733476,96252277,96346448,96466950,96625022,97552676,97562624,97765438,97961637,98117230,98560628,98628422,98714397,99062080,99689060,...,963033185349971046606610486128336914845810861923442410367802255374727643501321569203157954870005735429490423807314507191656833666971822058852926593223526750157491386664427608470874441764742395492841371908047497119683204779075946302122193224903529620673806596010336948304575006628369971756285399951749639435867888884040921112100928149394080380143828160016352782205410528916833032959182378573630649431783814792001291490025180376955981237407236368127564592465500353167282308063233986657054828702018425494159256451724810239328245817933247768336758176192883075813923836206650845394269568613668502067255871223654355492603825617215169853396857598715167108655701480513635535011006688972326395347066930016891706874978355648615550426161327636935416385054879674453384733590136139267736807397714227250819902606948847808520318085331211381240502850956950497789342214457281491060252602881423947743212717350965250538119116657483050269097291329008322675170382442740435776727029365065330992904583769701007995881863235856930246245180200324195934607805244582663170864966433271114444788939651052805376009094264472884887320327289685334248123065480683964879789800225070557945151527449883550385325940114980512472422470538204648766444508735883444322153550904067962160776917527430092928432010930283346236447515197158276537297135740296379718633359288752725007284696793223561755891804639884219853653961250507246766379778625542499426797625450591040218930695305740427102090371908241433217790312291422768556699160793744166596792346199798263782613665500319741563084116632986379535446732469583558598149125752755322220082058791626510605615728858681130853060492931332511851345908581214494614272230428937248107301310729515714766344225333106561453596087532048818083855847914089512990952106762292690910784117836662346581433044230041587755481951660976562987009416414410785994153041237810502645815248976236542244528304182978934044453597907277280394018514880187427698686506562984625970657800691343791532818189373670947019894847173864342961062070379040148662051717037240617703167818639961610756392069261495771325252905787985174635945029078007810983734388255062005815024140737780119147845695491971630859124590309927286126568427054079332029074944623115620057996993639542525088735105886704684943930307008490695801255605642071722116355607225625279778920602370046574041280776582709880825446573682494355104520091112859038528591759014258069449452136023131924965358969587941745080630156082213725838418062890737306346581339179434116899708742985938794030950379189941366510873325359460643068500799891849396804803083343675450496459832356792083440230490089070039453752832102692732248877829259555311383253087583309006179056051863625381755773046848073266830552915573148668157020590074188827775325040150141477865441627249696212999512938898199036086654314741530682279376773323325434422214341594647344130015198969837568445704957157879978306503739617309897364759592629336447129003274916340313396364997276717443990864946013264033202497281082836906727123928836165972295300311097420976498351075667649457740356814023846174438566364931116576788513785888294639559494395014269270039095802147474303810631878490788406800332297431313981661800756423460432220631446876672423138307618404489382328740928090998044707273220953057137720702829528254014373319022592014563090148374988931996259381887011336426575567882256000233193783800538775760850154886606235072791250530144299335449052395466723699540714265126695170567546836579290332720899977126726666343753888745850774635322962874697067668134615966596872592227688269077067978119067675330003054675418620143104187642036059245380772855797815609833933331956222032336202363659568920790139727180105081551782436014514508211482172562890446564965645114084299605831286680302969810137839020831295186543443611328279267631876645187574}
23844 419910830617142032467743549802841778901924911100412150272666997832830076616461: {262163,309803,405059,524282,667324,738203,953320,1023443,1072485,1095674,1143984,1239004,1286982,1334536,1381154,1501353,1687883,1787325,1906480,1951682,1972163,2096776,2144790,2287776,2303459,2358873,2398043,2445323,2521634,2573748,3502569,3620488,3718859,3954059,4073049,4095083,4169725,4228034,4283003,4795682,4986563,5003670,5337248,5688323,5921843,5956750,6004404,6073845,6201803,6371164,6478768,6528059,6621203,6667763,6939964,7045096,7148100,7225859,7288614,7365203,7508476,7624640,7925733,8153459,8189474,8215485,8471354,8577720,8646297,8763184,9149568,9212284,9308459,9649935,9858582,10293264,10837645,11001794,11282234,11374859,11579922,12196883,12743459,12838441,13005174,13241282,13359093,13499656,13787843,13799714,14308156,14331059,14636282,14873123,14918243,15008459,15187113,15437404,15482350,15684059,15835645,16223243,16771245,16806059,17476859,17833883,17889328,17969594,18145859,18340630,18423016,18578820,18946283,19002774,19035059,19817408,19836229,19942876,20121985,20125494,20230403,20274563,20725893,20731514,20803859,21463859,22008756,22122059,22294584,22472363,22622350,22647323,22749436,22777557,23479034,23563763,23752994,23836813,24146382,24172763,24300482,24866843,25081407,25083323,25386059,25515683,25824085,26107804,26162723,26200900,26212154,26666524,27022643,27146820,27194243,27665483,27836603,27918573,28237288,28337470,28613896,28818059,28956608,29328443,29370923,29572485,29743682,30284834,30453213,30599363,30988902,31125916,31441080,31543984,31624456,31635194,31702245,31766949,32186517,32190633,32408459,32534123,32576184,32679668,33440169,33537152,33815728,33821221,34004964,34052590,34325114,34458364,34617923,34908059,34990883,35129282,35371215,35486982,35528459,35577513,35802445,36253825,36425613,36648207,36891550,37583459,37729296,37800482,38042694,38073683,38318363,38333116,38599034,38725523,39213059,39809725,39882376,40305803,40339222,40457282,40482100,40628459,40863108,41031059,41713643,41833859,42353963,42445458,42713243,42960805,42962934,43099682,43151483,43251688,43363825,43504590,43549043,43747523,44223059,44269860,44415482,44867673,44940794,45121288,45406859,46270403,46404896,46505243,46685240,46856963,47036282,47221184,47601789,47771670,47792101,48316030,48451043,48482536,48578520,48658149,48915059,49091245,49185203,49300859,49642682,49815493,50162234,50338523,50530043,50644859,50761449,50956448,50965084,51027059,51093256,51146350,51552966,51674963,51817088,52036590,52168859,52205508,52211176,52234682,52358459,52520895,52737059,52751354,52940445,52956136,53123832,53146396,53416523,53755283,53814061,53943203,54542853,54650835,55326074,55505696,55551059,55582754,55848563,56022288,56293859,56469808,56541693,56848859,56952604,57212545,57326004,57479913,57627460,57792136,57979236,58294224,58503059,58579516,58651682,58737573,58909494,59046085,59290845,59524163,59575653,59662684,59705843,59764311,60032363,60675524,60683459,61193282,61375620,61405485,61699874,61762859,62013683,62087493,62365564,62443908,62524875,63025074,63190859,63216194,63243568,63528534,64224194,64667317,64957859,64978682,65016153,65043033,65414003,65467328,65499184,65581002,65599516,65677045,65729003,66113123,66357059,66693200,66734114,66947843,66984314,67774861,67812443,68191283,68274430,68380273,68655054,68843363,69022900,69152952,69478394,69727317,69731003,69975482,70058605,70070963,70130350,70471994,70855302,70966396,71052323,71127688,71149014,71164990,71389163,71490059,71710754,71993459,72160859,72570844,72595163,73094603,73592243,73650744,73686582,73959445,74055083,74434375,74483459,74549243,74706076,74976059,75029850,75650594,75771964,76053443,76118459,76304476,76507883,76540283,76629794,76702163,76877230,76928459,76993043,77025323,77476403,77797071,77893859,78054059,78063069,78278003,78812454,78868456,79391843,79423523,79738285,79796282,80018649,80031840,80181443,80388645,80554204,80809523,80840843,81025833,81372059,81802893,81838859,81897985,81929316,82177288,82492485,82616997,82827480,82857087,83136323,83443163,83626883,83900354,84070326,84156420,84257596,84303142,84351550,84601859,84620282,85146683,85338914,85367296,85397988,85508459,85747888,85869083,85899083,86009613,86168723,86407859,86497403,86533754,86679320,87314056,87487034,87559285,87757621,87991984,88349312,88727013,88751334,88912634,89062859,89321250,89441003,89766848,90020123,90035820,90096674,90308483,91146445,91311443,91596203,91754173,91851803,92252676,92417483,92449449,92453954,92923682,92932225,93169288,93180915,93260003,93287963,93808645,93824350,94238524,94923443,95044233,95092845,95276000,95416859,95608043,95685942,95771603,96038208,96298846,96314723,96459325,96466374,96579049,96821230,96847804,96893114,97017613,97311059,97514235,97534900,97611069,97765163,98052674,98228313,98277582,98322923,98587283,98956043,98990982,99392976,99427859,99506243,99819059,...,1444549778024956569909915729192505372268716292885163615551703383062091465251982353804736932305008603144235635710971760787485250500457733088279389889835290125236237079996641412706311662647113593239262057862071245679524807168613919453183289837355294431010709894015505422456862509942554957634428099927624459153801833326061381668151392224091120570215742240024529173308115793375249549438773567860445974147675722188001937235037770565433971856110854552191346888698250529750923462094850979985582243053027638241238884677587215358992368726899871652505137264289324613720885754309976268091404352920502753100883806835481533238905738425822754780095286398072750662983552220770453302516510033458489593020600395025337560312467533472923325639241991455403124577582319511680077100385204208901605211096571340876229853910423271712780477127996817071860754276435425746684013321685922236590378904322135921614819076026447875807178674986224575403645936993512484012755573664110653665090544047597996489356875654551511993822794853785395369367770300486293901911707866873994756297449649906671667183409476579208064013641396709327330980490934528001372184598221025947319684700337605836917727291174825325577988910172470768708633705807306973149666763103825166483230326356101943241165376291145139392648016395425019354671272795737414805945703610444569577950038933129087510927045189835342633837706959826329780480941875760870149569667938313749140196438175886560328396042958610640653135557862362149826685468437134152835048741190616249895188519299697395673920498250479612344626174949479569303170098704375337897223688629132983330123088187439765908423593288021696279590739396998767777018862871821741921408345643405872160951966094273572149516337999659842180394131298073227125783771871134269486428160143439036366176176754993519872149566345062381633222927491464844480514124621616178991229561856715753968722873464354813366792456274468401066680396860915920591027772320281141548029759844476938955986701037015687299227284060506420529842270760796514441593105568560222993077575555860926554751727959942416134588103892243656987879358681977761953917543617011716475601582382593008722536211106670178721768543237957446288686885464890929189852640581118998043612416934673430086995490459313787633102658830057027415895460512736043701883408463107583174533410838437919668380903555069861061921164874064821238169860523741532656780136669288557792887638521387104174178204034697887448038454381912617620945234123320588757627094336105959519872008769151175349563114478908191046425568784912049766309988039190964602751199837774095207204625015513175744689748535188125160345735133605059180629248154039098373316743889332967074879631374963509268584077795438072633659570272109900245829373359723002235530885111283241662987560225212216798162440874544319499269408347298554129981472112296023419065159984988151633321512391971016195022798454756352668557435736819967459755609425964846047139388944004670693504912374510470094547495915076165986297419019896049803745921624255360090685893254248958442950466646131464747526613501474186610535221035769261657849547396674865182770678832441959339241592521403905058643703221211455715947817736182610200498446146970972492701134635190648330947170315008634707461427606734073493111392136497067060909831429585706581054244292381021559978533888021844635222562483397994389072830517004639863351823384000349790675700808163641275232329909352609186875795216449003173578593200085549311071397690042755851320254868935499081349965690089999515630833118776161952984444312045601502201923949895308888341532403615601967178601512995004582013127930214656281463054088868071159283696723414750899997934333048504303545489353381185209590770157622327673654021771762317223258844335669847448467671126449408746930020454454715206758531246942779815165416992418901447814967781361}
23845 421389818065959974091990564273348520417353382322900477801743538702173899077476: {786423,834155,1000986,1167719,1191650,1429980,1525312,1548755,1643511,1668170,1715976,1834679,1858506,1930473,2001804,2071731,2383100,2620970,2859720,2927523,3050368,3145164,3167927,3217185,3431664,3782451,3860622,4025411,4525610,4670092,5430732,5668922,5881811,6164459,6342051,6671560,6812234,7193523,7505505,7667786,7963955,8005872,8098460,8674955,8806370,8935125,9006606,9385595,9530800,9556746,9591803,9718152,9953834,10409946,10525346,10567644,10722150,10932921,10953980,11262714,11436960,11515355,11528396,11812199,12199424,12284211,12707031,12866580,13144776,13298051,13724352,13818426,14787873,15439896,15653162,15951683,16120139,16232282,16502691,16723667,16874570,16923351,17340232,17369883,17516279,17812124,17885195,17945954,18233891,19080083,19296755,19507761,19861923,20249484,20699571,20802074,21462234,21931403,21954423,22361660,22504394,23028770,23156106,23223525,23939411,24394331,24646379,24707627,24771760,24928595,25037159,25337032,25359074,26642807,26833992,26954391,27063779,27470651,27510945,27600986,27634524,27671399,27868230,28436795,28504161,29345008,29588762,29644931,29726112,29914314,29926562,30188241,30215483,30370076,30857354,31097271,32195176,32634755,32751125,32945411,33013134,33333155,33336683,33441876,33923114,33933525,34124154,34628519,34843211,34897079,35218551,35296610,35629491,35644247,35767370,36054539,36195760,36219573,36450723,37114682,37224764,37442711,37845227,38907395,39039323,39161706,39301350,39318231,39429980,39481127,39530570,39999786,40604284,40720230,40849585,40890179,41282714,41318536,41320379,41890643,41921440,42269660,42355932,42422219,42442103,42506205,42838946,42915356,42920844,43072955,43141031,43434912,43951307,44586892,44615523,44706599,44916923,45339952,45427251,45684779,46336619,46483353,46488794,46688874,47161620,47315976,47436684,47452791,47676602,47916395,48220727,48567484,48864276,49019502,49322519,49411082,49852970,50154611,50263931,50305728,50568119,50602625,50723592,51007446,51078885,51246026,51397226,51487671,51687546,52258343,52693923,53230473,53596979,53725883,54064610,54484144,54828983,54936674,55337325,55338122,55977107,56190311,56401610,56532194,56593944,56700723,57064041,57283912,57311786,57499674,57898551,57943946,58006120,58356550,58853939,58954946,58965434,59026480,59381243,59823564,60235991,60508833,60603170,60685923,60723150,60778859,61138571,61294662,61662467,62236727,62272643,62545043,62557367,63177899,63469052,63668187,63695560,63706355,63784442,63866570,64085594,64444401,64487354,64649523,64771360,64788842,64877532,65256885,65263970,66195170,66404790,66432995,66623223,66721547,67002746,67029587,67411191,67681932,68442491,68737288,69009899,69382120,69607344,70027860,70241303,70266131,70554423,70587260,70604627,70831776,71190755,71481371,71657505,71778179,71905127,72034325,72240170,72474045,72723804,72867780,73041314,73206746,73224395,73284311,73303451,74464023,74578355,74696384,74879114,75029402,75243351,75388924,75844405,76399799,76434672,76447626,76639884,76719525,76944803,76992986,77305648,77329449,77725632,77956955,78054885,78106667,78308262,78316764,78352023,78545992,79054460,79127031,79434204,79685748,79719594,79742426,79884482,79936907,81523127,81834160,81873980,81999395,82209383,82399811,82783324,82989111,83005403,83258544,83366500,83374131,84033432,84038114,84653111,84704712,84877034,85428906,85989006,86274794,86278625,86289722,86441190,86636771,86662211,86688204,86724044,86888474,86968854,87103379,87246587,87441336,87869274,87977523,88068647,88225739,88364241,88443347,88707995,88753322,88909610,89181239,89333687,89494026,89660051,89846449,90713555,91013286,91540072,91768811,91789923,91870907,92063430,92203936,92280842,92549811,92680427,92969756,93159266,93255719,93382595,93548346,93665862,93761207,94473736,94537611,94714955,94824291,94865352,95292801,95380595,95441987,95538359,96009626,96336291,97468023,97773674,98200992,98248776,98371503,98399274,98585570,...,1926066370699942093213220972256673829691621723846884820735604510749455287002643138406315909740011470858980847614629014383313667333943644117705853186447053500314982773328855216941748883529484790985682743816094994239366409558151892604244386449807059241347613192020673896609150013256739943512570799903499278871735777768081842224201856298788160760287656320032705564410821057833666065918364757147261298863567629584002582980050360753911962474814472736255129184931000706334564616126467973314109657404036850988318512903449620478656491635866495536673516352385766151627847672413301690788539137227337004134511742447308710985207651234430339706793715197430334217311402961027271070022013377944652790694133860033783413749956711297231100852322655273870832770109759348906769467180272278535473614795428454501639805213897695617040636170662422762481005701913900995578684428914562982120505205762847895486425434701930501076238233314966100538194582658016645350340764885480871553454058730130661985809167539402015991763726471713860492490360400648391869215610489165326341729932866542228889577879302105610752018188528945769774640654579370668496246130961367929759579600450141115890303054899767100770651880229961024944844941076409297532889017471766888644307101808135924321553835054860185856864021860566692472895030394316553074594271480592759437266718577505450014569393586447123511783609279768439707307922501014493532759557251084998853595250901182080437861390611480854204180743816482866435580624582845537113398321587488333193584692399596527565227331000639483126168233265972759070893464939167117196298251505510644440164117583253021211231457717362261706120985862665023702691817162428989228544460857874496214602621459031429532688450666213122907192175064097636167711695828179025981904213524585381821568235673324693162866088460083175510963903321953125974018832828821571988306082475621005291630497952473084489056608365957868088907195814554560788037029760374855397373013125969251941315601382687583065636378747341894039789694347728685922124140758080297324103434074481235406335637279923221512784138522991542650505811575970349271890058156015621967468776510124011630048281475560238295691390983943261718249180619854572253136854108158664058149889246231240115993987279085050177470211773409369887860614016981391602511211284143444232711214451250559557841204740093148082561553165419761650893147364988710209040182225718077057183518028516138898904272046263849930717939175883490161260312164427451676836125781474612693162678358868233799417485971877588061900758379882733021746650718921286137001599783698793609606166687350900992919664713584166880460980178140078907505664205385464497755658519110622766506175166618012358112103727250763511546093696146533661105831146297336314041180148377655550650080300282955730883254499392425999025877796398072173308629483061364558753546646650868844428683189294688260030397939675136891409914315759956613007479234619794729519185258672894258006549832680626792729994553434887981729892026528066404994562165673813454247857672331944590600622194841952996702151335298915480713628047692348877132729862233153577027571776589279118988790028538540078191604294948607621263756981576813600664594862627963323601512846920864441262893753344846276615236808978764657481856181996089414546441906114275441405659056508028746638045184029126180296749977863992518763774022672853151135764512000466387567601077551521700309773212470145582501060288598670898104790933447399081428530253390341135093673158580665441799954253453332687507777491701549270645925749394135336269231933193745184455376538154135956238135350660006109350837240286208375284072118490761545711595631219667866663912444064672404727319137841580279454360210163103564872029029016422964345125780893129931290228168599211662573360605939620275678041662590373086887222656558535263753290375148}
23846 422873980959032442094736730194089555164462173207628334146169887817750895270446: {309829,452713,524326,619606,810118,1048564,1334648,1476406,1501479,1735429,1787475,1877593,1906640,2046886,2144970,2191348,2287968,2445529,2478008,2502255,2573964,2669072,2762308,2787759,2978875,3002706,3012313,3375766,3574650,3719173,3812960,3903364,3931455,3944326,4193552,4289580,4575552,4606918,4717746,4796086,4890646,5043268,5147496,5267929,5790933,5837615,6668329,6788415,7005138,7226473,7240976,7437718,7908118,7922533,8146098,8190166,8200453,8339450,8456068,8503383,8566006,8755429,9591364,9973126,10007340,10123075,10218351,10674496,11376646,11501679,11843686,11913500,12008808,12147690,12403606,12742328,12957536,13056118,13209555,13242406,13335526,13426213,13509909,13692475,13879928,14090192,14296200,14335119,14377513,14410495,14451718,14577228,14730406,14919529,14930751,15016952,15172703,15249280,15595429,15614919,15788019,15851466,16083225,16306918,16378948,16430970,16894071,16942708,17155440,17292594,17526368,18147433,18299136,18424568,18616918,19081093,19299870,19613029,19717164,20276329,20586528,20727639,21675290,22003588,22169903,22265155,22564468,22749718,23159844,23479743,23696473,24218329,24348423,24348613,24393766,25311855,25486918,25647493,25676882,26010348,26482564,26718186,26918931,26999312,27575686,27599428,27952075,28170779,28616312,28662118,28863193,29246053,29272564,29373529,29746246,29836486,30016918,30374226,30874808,30964700,31203111,31368118,31403353,31671290,31695103,32193351,32446486,33542490,33612118,33756591,34413529,34543155,34734159,34911193,34953718,35667766,35778656,35939188,36153719,36291718,36681260,36767173,36846032,37157640,37505029,37627753,37892566,37962595,38005548,38038611,38070118,38117929,38729029,39338329,39634816,39672458,39885752,40243970,40250988,40460806,40549126,41401479,41451786,41463028,41607718,41802345,42927718,43433833,44017512,44244118,44266693,44383143,44589168,44871471,44889843,44944726,45244700,45294646,45450373,45498872,45555114,46286031,46530955,46958068,47127526,47505988,47673626,48292764,48345526,48600964,48958213,49287475,49305433,49519701,49733686,50123423,50162814,50166646,50458153,50755355,50772118,50884671,51031366,51186231,51648170,52215608,52325446,52401800,52424308,52741993,52837075,52944915,53333048,53644195,53651055,54045286,54293640,54388486,55330966,55672023,55673206,55733615,55837146,56336233,56474576,56669413,56674940,56780329,56891173,57223273,57227792,57636118,57913216,58656886,58741846,58742559,58952025,59144970,59295855,59487364,59529829,59999679,60145127,60508633,60569668,60709355,60906426,61049893,61080345,61198726,61924071,61977804,62251832,62882160,63087968,63196933,63248912,63270388,63404490,63533898,64258419,64373034,64381266,64816918,65068246,65152368,65359336,66238183,66880338,66989029,67074304,67631456,67642442,68009928,68025829,68105180,68650228,68727743,68916728,69235846,69733191,69816118,69981766,70033311,70258564,70484773,70742430,70973964,71056918,71155026,71194153,71514903,71604890,72201433,72507650,72851226,73101829,73296414,73529253,73783100,74095429,74116623,74490853,74779455,75081829,75166918,75180073,75458592,75600964,75663379,76085388,76147366,76425011,76511169,76547929,76636726,76666232,76869039,77033029,77095839,77198068,77451046,77531319,78093913,78426118,79336315,79431529,79619450,79764752,79811113,80097563,80611606,80678444,80849029,80914564,80964200,81096915,81256918,81411493,81726216,81878233,82062118,82405011,82664519,83007183,83175529,83427286,83667718,84602415,84640873,84707926,84798291,84890916,84913573,85004329,85426486,85907929,85921610,85925868,85967679,86199364,86249511,86302966,86503376,86727650,86915919,87009180,87098086,87249829,87495046,87534825,88234075,88432419,88446118,88448151,88487653,88539720,88830964,89101273,89450329,89735346,89881588,90242576,90813718,90835033,90904755,91084725,91941993,91947863,92540806,92809792,93010486,93297829,93370480,93713926,94049833,94072564,94236155,94442368,95043433,95203578,95543340,95584202,95676663,95799855,96128391,96514393,96632060,96731031,96902086,96965072,97080133,97157040,97183263,97316298,97830118,97895955,98082047,98182490,98370406,98597929,98601718,98818075,99285364,99292755,99607185,99630986,99699673,99777829,99855913,...,2889099556049913139819831458385010744537432585770327231103406766124182930503964707609473864610017206288471271421943521574970501000915466176558779779670580250472474159993282825412623325294227186478524115724142491359049614337227838906366579674710588862021419788031010844913725019885109915268856199855248918307603666652122763336302784448182241140431484480049058346616231586750499098877547135720891948295351444376003874470075541130867943712221709104382693777396501059501846924189701959971164486106055276482477769355174430717984737453799743305010274528578649227441771508619952536182808705841005506201767613670963066477811476851645509560190572796145501325967104441540906605033020066916979186041200790050675120624935066945846651278483982910806249155164639023360154200770408417803210422193142681752459707820846543425560954255993634143721508552870851493368026643371844473180757808644271843229638152052895751614357349972449150807291873987024968025511147328221307330181088095195992978713751309103023987645589707570790738735540600972587803823415733747989512594899299813343334366818953158416128027282793418654661960981869056002744369196442051894639369400675211673835454582349650651155977820344941537417267411614613946299333526207650332966460652712203886482330752582290278785296032790850038709342545591474829611891407220889139155900077866258175021854090379670685267675413919652659560961883751521740299139335876627498280392876351773120656792085917221281306271115724724299653370936874268305670097482381232499790377038599394791347840996500959224689252349898959138606340197408750675794447377258265966660246176374879531816847186576043392559181478793997535554037725743643483842816691286811744321903932188547144299032675999319684360788262596146454251567543742268538972856320286878072732352353509987039744299132690124763266445854982929688961028249243232357982459123713431507937445746928709626733584912548936802133360793721831841182055544640562283096059519688953877911973402074031374598454568121012841059684541521593028883186211137120445986155151111721853109503455919884832269176207784487313975758717363955523907835087234023432951203164765186017445072422213340357443537086475914892577373770929781858379705281162237996087224833869346860173990980918627575266205317660114054831790921025472087403766816926215166349066821676875839336761807110139722123842329748129642476339721047483065313560273338577115585775277042774208348356408069395774896076908763825235241890468246641177515254188672211919039744017538302350699126228957816382092851137569824099532619976078381929205502399675548190414409250031026351489379497070376250320691470267210118361258496308078196746633487778665934149759262749927018537168155590876145267319140544219800491658746719446004471061770222566483325975120450424433596324881749088638998538816694597108259962944224592046838130319969976303266643024783942032390045596909512705337114871473639934919511218851929692094278777888009341387009824749020940189094991830152331972594838039792099607491843248510720181371786508497916885900933292262929495053227002948373221070442071538523315699094793349730365541357664883918678483185042807810117287406442422911431895635472365220400996892293941944985402269270381296661894340630017269414922855213468146986222784272994134121819662859171413162108488584762043119957067776043689270445124966795988778145661034009279726703646768000699581351401616327282550464659818705218373751590432898006347157186400171098622142795380085511702640509737870998162699931380179999031261666237552323905968888624091203004403847899790617776683064807231203934357203025990009164026255860429312562926108177736142318567393446829501799995868666097008607090978706762370419181540315244655347308043543524634446517688671339694896935342252898817493860040908909430413517062493885559630330833984837802895629935562722}
23847 424363337289375852452262986679291777664200825820411101647465696976922790493785: {786489,929409,1167817,1215177,1310705,1572846,1668310,2001972,2168257,2214609,2335438,2383300,2739185,2859960,3050624,3070329,3097510,3217455,3287022,3336340,3431952,3452885,3669358,3717012,3860946,4003608,4143462,4454153,4504059,4766200,4879205,5063649,5241940,5361975,5719440,5855046,5916489,6024689,6100736,6290328,6304085,6335854,6434370,6863328,6881957,6910377,7076619,7194129,7335969,7564902,7721244,8050822,9051220,9340184,10507707,10570085,10861464,11149537,11156577,11337844,11733893,11763622,11862177,11989205,12144937,12219147,12285249,12298913,12328918,12509175,12590729,12684102,12849009,13139833,13343120,13624468,14387046,14891875,14959689,15011010,15335572,15927910,16011744,16121497,16196920,16580933,17064969,17349910,17612740,17765529,17870250,18013212,18221535,18605409,18771190,18851989,19061600,19113492,19183606,19436304,19584177,19863609,19907668,20003289,20006549,20473685,20701057,20819892,21050692,21135288,21178385,21444300,21677577,21686489,21865842,21907960,22095609,22525428,22549189,22873920,23030710,23056792,23248313,23624398,23777199,24398848,24460377,24568422,24646455,25039273,25414062,25733160,25938891,26289552,26596102,27015457,27448704,27504485,27545953,27636852,27925377,28205585,28949805,29575746,30247753,30879792,31306324,31689409,31903366,32240278,32464564,32512935,32545237,33005382,33103205,33447334,33507017,33749140,33846702,34124577,34499285,34680464,34739766,34900033,35032558,35624248,35770390,35891908,35920133,36467782,36590649,36590705,37813297,38160166,38230377,38515323,38593510,38705875,38788649,38822993,39015522,39723846,39811513,40077279,40498968,41363529,41399142,41604148,42924468,42993177,43479953,43862806,43908846,43934089,44619369,44723320,44754729,44923985,45008788,45025377,45030689,45321569,45561339,45688657,45851575,46057540,46312212,46447050,46666417,47052177,47506935,47878822,48324757,48669729,48788662,48895073,49122049,49292758,49415254,49543520,49857190,50074318,50158849,50313735,50418177,50674064,50718148,51615269,51828785,52430577,52470377,53285614,53501649,53667984,53730409,53908782,54127558,54437577,54470353,54941302,55021890,55201972,55269048,55342798,55736460,56555875,56838849,56873590,57008322,57105177,57189419,57443993,58690016,58697585,58858897,58951673,59153777,59177524,59289862,59382485,59452224,59508687,59828628,59853124,60302137,60365955,60376482,60430966,60494489,60691209,60740152,60751205,60823689,61714708,62177679,62194542,62277889,62411577,62562649,64390352,64391577,64797889,65269510,65502250,65530385,65833793,65890822,66026268,66366177,66666310,66673366,66688469,66883752,67082953,67179257,67417089,67846228,67867050,67929313,67941969,68248308,68332671,69257038,69686422,69734753,69794158,70437102,70593220,70610593,70691289,70843675,71258982,71288494,71323033,71510439,71534740,72109078,72391520,72439146,72518289,72901446,73916869,74229364,74359205,74449528,74600529,74637737,74885422,75244221,75249969,75690454,75712085,76158177,76547049,77472255,77814790,78078646,78323412,78488169,78602700,78636462,78859960,78962254,79061140,79087985,79146917,79999572,81067929,81208568,81440460,81582729,81699170,81780358,82565428,82637072,82640758,82996449,83012449,83509809,83755719,83781286,83842880,84539320,84711864,84828757,84844438,84884206,85012410,85131475,85677892,85812785,85830712,85841688,86145910,86282062,86454177,86869824,87823205,87902614,87985329,88112769,88717455,89173784,89188897,89231046,89341249,89413198,89833846,89986913,90679904,90854502,91083977,91359639,91369558,91798089,92228875,92673238,92966706,92977588,93006193,93263593,93377748,94323240,94501205,94631952,94873368,94905582,95106735,95300847,95353204,95832790,96441454,96497585,96559551,96571899,96939553,97134968,97225377,97602369,97728552,98039004,98645038,98822164,99667057,99705940,...,4333649334074869709729747187577516116806148878655490846655110149186274395755947061414210796915025809432706907132915282362455751501373199264838169669505870375708711239989924238118934987941340779717786173586213737038574421505841758359549869512065883293032129682046516267370587529827664872903284299782873377461405499978184145004454176672273361710647226720073587519924347380125748648316320703581337922443027166564005811705113311696301915568332563656574040666094751589252770386284552939956746729159082914723716654032761646076977106180699614957515411792867973841162657262929928804274213058761508259302651420506444599716717215277468264340285859194218251988950656662311359907549530100375468779061801185076012680937402600418769976917725974366209373732746958535040231301155612626704815633289714022628689561731269815138341431383990451215582262829306277240052039965057766709771136712966407764844457228079343627421536024958673726210937810980537452038266720992331960995271632142793989468070626963654535981468384561356186108103310901458881705735123600621984268892348949720015001550228429737624192040924190127981992941472803584004116553794663077841959054101012817510753181873524475976733966730517412306125901117421920919449000289311475499449690979068305829723496128873435418177944049186275058064013818387212244417837110831333708733850116799387262532781135569506027901513120879478989341442825627282610448709003814941247420589314527659680985188128875831921959406673587086449480056405311402458505146223571848749685565557899092187021761494751438837033878524848438707909510296113126013691671065887398949990369264562319297725270779864065088838772218190996303331056588615465225764225036930217616482855898282820716448549013998979526541182393894219681377351315613402808459284480430317109098528530264980559616448699035187144899668782474394533441542373864848536973688685570147261906168620393064440100377368823405203200041190582747761773083316960843424644089279533430816867960103111047061897681852181519261589526812282389543324779316705680668979232726667582779664255183879827248403764311676730970963638076045933285861752630851035149426804747147779026167608633320010536165305629713872338866060656394672787569557921743356994130837250804020290260986471377941362899307976490171082247686381538208131105650225389322749523600232515313759005142710665209583185763494622194463714509581571224597970340410007865673378662915564161312522534612104093662344115363145737852862835702369961766272881283008317878559616026307453526048689343436724573139276706354736149298929964117572893808253599513322285621613875046539527234069245605564375481037205400815177541887744462117295119950231667998901224638894124890527805752233386314217900978710816329700737488120079169006706592655333849724988962680675636650394487322623632958497808225041895662389944416336888070257195479954964454899964537175913048585068395364269058005672307210459902379266828277894538141418166832014012080514737123531410283642487745228497958892257059688149411237764872766080272057679762746875328851399938394394242579840504422559831605663107307784973548642190024595548312036497325878017724777564211715175931109663634367147843453208547830601495338440912917478103403905571944992841510945025904122384282820202220479334176409491201182729494288757119743162732877143064679935601664065533905667687450193983167218491551013919590055470152001049372027102424490923825696989728057827560627385649347009520735779600256647933214193070128267553960764606806497244049897070269998546892499356328485858953332936136804506605771849685926665024597210846805901535804538985013746039383790643968844389162266604213477851090170244252699993802999145512910636468060143555628772310472866983020962065315286951669776533007009542345403013379348226240790061363364145620275593740828339445496250977256704343444903344083}
23848 425857905112155181107739327769567508725457796563814122981076495479276894445828: {405127,619658,690751,905426,1048652,1118647,1239212,1403551,1620236,2097128,2359269,2398447,2502465,2540287,2669296,2952812,2979125,3002958,3470858,3503157,3574950,3755186,3813280,4093772,4170425,4236751,4289940,4382696,4575936,4646265,4891058,4930533,4956016,5004510,5147928,5338144,5504037,5524616,5575518,5642551,5791419,5957750,6005412,6024626,6215193,6552425,6622327,6751532,7149300,7320007,7438346,7459327,7625920,7806728,7862910,7888652,8172661,8387104,8579160,8782569,9125551,9151104,9213836,9402247,9435492,9503781,9592172,9651555,9781292,10086536,10092727,10294992,10506151,10535858,11193751,11314025,11347353,11468287,11581866,11675230,11879551,12076233,12153367,12973087,13245751,13336658,13576830,14010276,14172305,14452946,14481952,14875436,15011047,15281551,15816236,15845066,16292196,16380332,16400906,16678900,16912136,17006766,17030585,17132012,17510858,17569207,17645433,18493377,18638551,18905167,19026153,19038367,19169465,19182728,19946252,20014680,20174693,20246150,20366407,20436702,20895607,21348992,21555487,21580569,21687247,22015925,22213567,22344967,22516515,22753292,23003358,23524327,23687372,23827000,23891865,24017616,24177007,24295380,24807212,24884585,24957847,25217551,25484656,25915072,26024865,26112236,26124247,26313365,26419110,26484812,26671052,26805375,26852426,27019818,27384950,27759856,27798751,28156785,28180384,28592400,28670238,28755026,28775409,28820990,28823167,28903436,29154456,29460812,29461087,29839058,29861502,30033904,30345406,30498560,30731527,31171217,31190858,31229838,31576038,31702932,32166450,32246551,32498047,32613836,32757896,32798763,32861940,33125527,33501151,33788142,33885416,34310880,34546065,34585188,34997167,35052736,35436597,35617447,35988751,36294866,36598272,36849136,36852633,37233836,37457849,38121093,38162186,38599740,39132905,39226058,39434328,39894153,39909007,40552658,40580705,41118967,41173056,41455278,42186425,43350580,43636447,44007176,44231167,44339806,44363619,44530310,44864885,45128936,45297127,45499436,45886807,46319688,46959486,47392946,47855049,48343807,48360417,48436658,48696846,48697226,48787532,49508073,50171001,50623710,50654287,50770053,50973836,51112927,51294986,51353764,52005185,52020696,52109649,52254487,52368247,52548837,52965128,53147633,53436372,53655585,53837862,53953327,53998624,54701673,54852751,55151372,55198856,55635967,55904150,56260985,56304487,56341558,57081151,57232624,57240249,57324236,57571925,57726386,57854287,57890265,58492106,58523283,58545128,58733551,58747058,59492492,59585769,59608207,59672972,60033836,60748452,60911551,61235767,61749616,61929400,61989751,62098713,62406222,62526151,62736236,62806706,63274087,63342580,63390206,63397685,64124551,64386702,64892972,65143337,65496727,65794209,65863269,66230551,66439567,67084980,67224236,67513182,67791151,68827058,69002465,69027967,69086310,69468318,69642487,69670575,69822386,69907436,70356151,71057497,71066287,71335532,71557312,71818233,71878376,72307438,72583436,73175527,73182993,73362520,73534346,73692064,73939137,73971905,74069767,74122881,74315280,74564047,74785785,74816405,74859751,75010058,75101873,75111477,75255506,75785132,75925190,76011096,76077222,76133647,76140236,76235858,77008447,77143385,77458058,77973607,78027061,78261751,78281489,78676658,79269632,79344916,79502887,79771504,79928421,80487940,80501976,80863173,80921612,81098252,81191337,81575551,82411953,82532835,82802958,82903572,82926056,83014197,83215436,83604690,83613367,83888551,84564953,84807785,84993097,85310385,85435687,85512483,85855436,85886767,86425687,86867666,87761647,88035024,88241525,88488236,88533386,88766286,88934793,89081407,89178336,89418425,89420357,89742942,89779686,89865487,89889452,90489400,90564723,90589292,90646449,90900746,90997744,91110228,91672327,92572062,92690551,92786705,93061910,93279727,93291813,93363607,93916136,94255052,94364551,94943647,95011976,95347252,95601151,96254047,96585528,96691052,97201928,97385527,97786207,97904265,97916426,98253375,98423551,98574950,98610866,98826425,98836233,99039402,99449407,99467372,99999465,...,5778199112099826279639662916770021489074865171540654462206813532248365861007929415218947729220034412576942542843887043149941002001830932353117559559341160500944948319986565650825246650588454372957048231448284982718099228674455677812733159349421177724042839576062021689827450039770219830537712399710497836615207333304245526672605568896364482280862968960098116693232463173500998197755094271441783896590702888752007748940151082261735887424443418208765387554793002119003693848379403919942328972212110552964955538710348861435969474907599486610020549057157298454883543017239905072365617411682011012403535227341926132955622953703291019120381145592291002651934208883081813210066040133833958372082401580101350241249870133891693302556967965821612498310329278046720308401540816835606420844386285363504919415641693086851121908511987268287443017105741702986736053286743688946361515617288543686459276304105791503228714699944898301614583747974049936051022294656442614660362176190391985957427502618206047975291179415141581477471081201945175607646831467495979025189798599626686668733637906316832256054565586837309323921963738112005488738392884103789278738801350423347670909164699301302311955640689883074834534823229227892598667052415300665932921305424407772964661505164580557570592065581700077418685091182949659223782814441778278311800155732516350043708180759341370535350827839305319121923767503043480598278671753254996560785752703546241313584171834442562612542231449448599306741873748536611340194964762464999580754077198789582695681993001918449378504699797918277212680394817501351588894754516531933320492352749759063633694373152086785118362957587995071108075451487286967685633382573623488643807864377094288598065351998639368721576525192292908503135087484537077945712640573756145464704707019974079488598265380249526532891709965859377922056498486464715964918247426863015874891493857419253467169825097873604266721587443663682364111089281124566192119039377907755823946804148062749196909136242025682119369083043186057766372422274240891972310302223443706219006911839769664538352415568974627951517434727911047815670174468046865902406329530372034890144844426680714887074172951829785154747541859563716759410562324475992174449667738693720347981961837255150532410635320228109663581842050944174807533633852430332698133643353751678673523614220279444247684659496259284952679442094966130627120546677154231171550554085548416696712816138791549792153817527650470483780936493282355030508377344423838079488035076604701398252457915632764185702275139648199065239952156763858411004799351096380828818500062052702978758994140752500641382940534420236722516992616156393493266975557331868299518525499854037074336311181752290534638281088439600983317493438892008942123540445132966651950240900848867192649763498177277997077633389194216519925888449184093676260639939952606533286049567884064780091193819025410674229742947279869839022437703859384188557555776018682774019649498041880378189983660304663945189676079584199214983686497021440362743573016995833771801866584525858990106454005896746442140884143077046631398189586699460731082715329767837356966370085615620234574812884845822863791270944730440801993784587883889970804538540762593323788681260034538829845710426936293972445568545988268243639325718342826324216977169524086239914135552087378540890249933591977556291322068018559453407293536001399162702803232654565100929319637410436747503180865796012694314372800342197244285590760171023405281019475741996325399862760359998062523332475104647811937777248182406008807695799581235553366129614462407868714406051980018328052511720858625125852216355472284637134786893659003599991737332194017214181957413524740838363080630489310694616087087049268893035377342679389793870684505797634987720081817818860827034124987771119260661667969675605791259871125444}
23849 427357702544897232402613447707999989148718352713913060384097788337195560953683: {929487,1310815,1358139,1549015,1572978,1834987,1858818,2025295,2335634,2430354,2621410,2883067,3145692,3336620,3691015,3834859,4003944,4336514,4429218,4504437,4670876,4766600,4834039,4978171,5117215,5206287,5263999,5362425,5478370,5632779,5719920,6101248,6140658,6195020,6434910,6574044,6672680,6830887,6863904,6905770,7120087,7336587,7338716,7434024,7506765,7691599,7721892,8007216,8286924,8363277,8439415,8825719,8908306,8936625,9008118,9036939,9532400,9687007,9758410,9860815,10127298,10483880,10723950,11157519,11438880,11517295,11710092,11794365,11832978,11990215,12049378,12201472,12226615,12543127,12580656,12608170,12671708,12868740,13114351,13726656,13763914,13820754,14153238,14388258,14535079,14671938,14798119,15129804,15442488,15803787,16101644,16784887,17372799,17389759,17512845,18102440,18531631,18562027,18594295,18680368,19770295,20004987,20244439,20365245,20475415,20848625,21015414,21140170,21386311,21415015,21679419,21722928,22299074,22313154,22675688,23467786,23527244,23724354,23767599,23844319,23978410,24289874,24438294,24570498,24597826,24601359,24657836,24932815,25018350,25181458,25331647,25368204,25510149,25629487,25698018,26266287,26279666,26686240,27248936,27475279,28441615,28663159,28679527,28774092,28979287,29609215,29649739,29783750,29919378,30022020,30369225,30655053,30671144,31009015,31855820,31900279,32023488,32242994,32251819,32393840,32402599,32640295,33106015,33161866,33338815,34129938,34505037,34699820,35225480,35531058,35740500,35923159,36026424,36129295,36443070,36529879,36826015,37210818,37449019,37542380,37703978,38123200,38226984,38367212,38506279,38826271,38872608,39168354,39344107,39487819,39628665,39727218,39815336,39881287,39952327,40006578,40013098,40146031,40278639,40529727,40655071,40767295,40947370,41077425,41402114,41639784,42101384,42270576,42356770,42888600,43005357,43132539,43148299,43231485,43355154,43372978,43483627,43731684,43815920,44191218,44758587,44792253,45050856,45098378,45325387,45518109,45564199,45747840,45787447,45881719,46061420,46113584,46152079,46344487,46496626,46542295,46786287,46844757,47248796,47364057,47554398,48249675,48298999,48797696,48920754,49136844,49292910,50078546,50272399,50682213,50828124,51226987,51385399,51466320,51852799,51877782,52267147,52579104,53192204,53218087,54030914,54133087,54188225,54390631,54442299,54838267,54897408,55008970,55091906,55273704,55850754,56411170,56874295,57243279,57899610,58372459,58839087,59151492,59391247,59471071,60246139,60495506,60828987,60984415,61759584,62041771,62182917,62367607,62612648,62893579,63378818,63717295,63806732,64192205,64480556,64929128,65025870,65090474,65216527,65586799,65839339,66010764,66206410,66509709,66663487,66694087,66795465,66894668,67014034,67498280,67693404,68065447,68249154,68939215,68998570,69360928,69472951,69479532,69670159,69800066,70065116,70253227,70439229,71089419,71248496,71493487,71540780,71655295,71783816,71790367,71840266,72560299,72654987,72814687,72935564,73045269,73045839,73181298,73181410,74365615,74591215,74644039,75042295,75082699,75626594,75727339,75935565,76320332,76460754,76942479,77030646,77187020,77411750,77577298,77645986,78031044,78420295,79178225,79447692,79464187,79623026,79950439,80154558,80756793,80997936,81116215,81141079,82176619,82413799,82727058,82798284,83135479,83208296,83856225,84030295,84512337,85051687,85468759,85848936,85986354,86550631,86589579,86959906,87384295,87725612,87738159,87817692,87868178,88120587,88458319,88712587,89169415,89238738,89446640,89501719,89509458,89847970,89994511,90017576,90050754,90061378,90643138,90729295,91122678,91377314,91703150,91742539,91886479,92115080,92527819,92624424,92894100,93332834,93475639,93609333,94104354,94210059,94731415,95013870,95085309,95175295,95757644,95858359,96192907,96580053,96649514,97339458,97577324,97790146,97800571,98244098,98585516,98830508,99087040,99181145,99358891,99714380,...,8667298668149739419459494375155032233612297757310981693310220298372548791511894122828421593830051618865413814265830564724911503002746398529676339339011740751417422479979848476237869975882681559435572347172427474077148843011683516719099739024131766586064259364093032534741175059655329745806568599565746754922810999956368290008908353344546723421294453440147175039848694760251497296632641407162675844886054333128011623410226623392603831136665127313148081332189503178505540772569105879913493458318165829447433308065523292153954212361399229915030823585735947682325314525859857608548426117523016518605302841012889199433434430554936528680571718388436503977901313324622719815099060200750937558123602370152025361874805200837539953835451948732418747465493917070080462602311225253409631266579428045257379123462539630276682862767980902431164525658612554480104079930115533419542273425932815529688914456158687254843072049917347452421875621961074904076533441984663921990543264285587978936141253927309071962936769122712372216206621802917763411470247201243968537784697899440030003100456859475248384081848380255963985882945607168008233107589326155683918108202025635021506363747048951953467933461034824612251802234843841838898000578622950998899381958136611659446992257746870836355888098372550116128027636774424488835674221662667417467700233598774525065562271139012055803026241758957978682885651254565220897418007629882494841178629055319361970376257751663843918813347174172898960112810622804917010292447143697499371131115798184374043522989502877674067757049696877415819020592226252027383342131774797899980738529124638595450541559728130177677544436381992606662113177230930451528450073860435232965711796565641432897098027997959053082364787788439362754702631226805616918568960860634218197057060529961119232897398070374289799337564948789066883084747729697073947377371140294523812337240786128880200754737646810406400082381165495523546166633921686849288178559066861633735920206222094123795363704363038523179053624564779086649558633411361337958465453335165559328510367759654496807528623353461941927276152091866571723505261702070298853609494295558052335217266640021072330611259427744677732121312789345575139115843486713988261674501608040580521972942755882725798615952980342164495372763076416262211300450778645499047200465030627518010285421330419166371526989244388927429019163142449195940680820015731346757325831128322625045069224208187324688230726291475705725671404739923532545762566016635757119232052614907052097378686873449146278553412709472298597859928235145787616507199026644571243227750093079054468138491211128750962074410801630355083775488924234590239900463335997802449277788249781055611504466772628435801957421632659401474976240158338013413185310667699449977925361351273300788974645247265916995616450083791324779888832673776140514390959909928909799929074351826097170136790728538116011344614420919804758533656555789076282836333664028024161029474247062820567284975490456995917784514119376298822475529745532160544115359525493750657702799876788788485159681008845119663211326214615569947097284380049191096624072994651756035449555128423430351862219327268734295686906417095661202990676881825834956206807811143889985683021890051808244768565640404440958668352818982402365458988577514239486325465754286129359871203328131067811335374900387966334436983102027839180110940304002098744054204848981847651393979456115655121254771298694019041471559200513295866428386140256535107921529213612994488099794140539997093784998712656971717906665872273609013211543699371853330049194421693611803071609077970027492078767581287937688778324533208426955702180340488505399987605998291025821272936120287111257544620945733966041924130630573903339553066014019084690806026758696452481580122726728291240551187481656678890992501954513408686889806688166}
23850 428862747767704634598126503746775522465028754347476527761106747923799560423195: {405161,452789,548021,738389,810254,881081,1239316,1381502,1451129,1810852,1972661,2097304,2114729,2237294,2304041,2359467,2445941,2478424,2540501,2587769,2788227,2807102,3107189,3240472,3503451,3645531,3860981,3932115,4096121,4170775,4194256,4237109,4284089,4718538,4796894,5004930,5080574,5268821,5338592,5362421,5689769,5838595,5905624,5923349,5958250,6005916,6063401,6343289,6504771,6643827,6669461,6902201,6941716,7006314,7149900,7320629,7367081,7510372,7626560,7743775,8187544,8217555,8294441,8340850,8473502,8579880,8765392,9151872,9173395,9210987,9292530,9652365,9782116,9817589,9861066,9912032,10009020,10139561,10295856,10358655,10676288,11008074,11049232,11151036,11194709,11285102,11582838,11915500,12010824,12049252,12200021,12430386,12974201,13104850,13244654,13292309,13362459,13503064,13512177,13927349,14298600,14637615,14640014,14876692,14876969,14918654,15012341,15147641,15190947,15251840,15327929,15613456,15688121,15725820,15777304,15823061,15839635,16002869,16085925,16345322,16631189,16774208,16944761,17158320,17347349,17565138,17749289,17749467,18074067,18150581,18251102,18302208,18373241,18427672,18640169,18684629,18804494,18870984,18906809,18912255,18951221,19007562,19084409,19184344,19303110,19306229,19562584,19705001,19841227,20127055,20147321,20173072,20185454,20368181,20589984,20645871,20731131,20809301,21012302,21071716,21229857,21293609,21582387,22007907,22387502,22628050,22653269,22694706,22784441,22936574,23163732,23350460,23569961,23700629,23759102,23842819,24152466,24222581,24306734,25219769,25522421,25652009,25946174,26126549,26169641,26491502,26557109,26673316,26772089,26837251,27153660,27458681,27801209,27843989,27972281,28020552,28344610,28825721,28868309,28905892,28953461,28963904,29336249,29409055,29463701,29718389,29750872,30022094,30563102,30734261,30822295,31029689,31523121,31619369,31632472,31690132,31710255,32542841,32584392,32668469,32760664,32801812,33128489,33170261,33357800,33448611,33469731,33824272,34013532,34061170,34264024,34419701,34751669,34838419,34917461,35000309,35021716,35138414,35165909,35201679,35290866,35586531,35967615,36033209,36434811,36657441,36773801,36838711,36855747,36896739,36986754,37277102,37511801,37527525,37593641,37772187,37810334,38052306,38076734,38084009,38338930,38365456,38491769,38547027,38858069,39223721,39345461,39419499,39426581,39819775,39892504,39912629,40029360,40155221,40349386,40492300,40639541,40732814,40873404,41162921,41484329,41791214,41845301,41965481,42697984,43110974,43161138,43282709,43374494,43374775,43441781,43680149,43918229,44031850,44268367,44274809,44427134,44675625,44689934,44879067,44946581,45033030,45340661,45506584,45655349,45891029,45930281,46006716,46400681,46927975,47048654,47374744,47654000,47688341,47783730,47959015,48035232,48348281,48354014,48364491,48387029,48590760,48619349,49044521,49198889,49314581,49430201,49614424,49742799,49769170,49915694,50199161,50435102,50467541,50544149,50659001,50969312,51155861,51194907,51803561,51830144,52049730,52224472,52248494,52600469,52626730,52751861,52838220,52865321,52969624,53296587,53342104,53431541,53610750,53704852,53958389,54039636,54664605,54769900,54786067,55519712,55597502,55816227,56309801,56313570,56346869,56360768,56420981,56555967,56569109,56812987,56864981,56975801,57184800,57234101,57307829,57340476,57510052,57550818,57576775,57639209,57641980,57646334,57806872,58006649,58308912,58739129,58752531,58775669,58921624,58922174,59060995,59286389,59541161,59590827,59613881,59678116,59723004,60009867,60019647,60067808,60520181,60690812,60809141,60997120,61421055,61463054,61708841,61888181,62031509,62103171,62342434,62381716,62459676,62567849,62810839,63152076,63280169,63405864,63535155,63635129,63953909,64332900,64493102,64659989,64996094,65032731,65059467,65227672,65515792,65538089,65597526,65723880,65852981,66236969,66251054,66286827,66490255,66967349,67002302,67071401,67576284,67647567,67770832,67797749,67832249,67935701,68314409,68554901,68621760,69034709,69068921,69092130,69170376,69649301,69744939,69994334,70105472,70498601,70566329,70873194,71073269,71234894,71331597,71511161,71679221,71977502,72583289,72589732,72807259,73182761,73196544,73381131,73415189,73698272,73705266,73939365,74110121,74176121,74467672,74571449,74915698,74998421,75096761,75117819,75554729,75848309,76238741,76242186,76324372,76530809,77048441,77199480,77435321,77628329,77816673,78173621,78265810,78301589,78452116,78765379,78868656,79225529,79510901,79758415,79788306,79818014,80174249,80300201,80551721,80600695,80834069,80959349,81046371,81105316,81147029,81161410,81490361,81801641,82237934,82346112,82513455,82637859,82910556,83161769,83346041,83618335,83652521,83776131,84019241,84372850,84616755,84809849,85172921,85715369,85895609,85925621,86285141,86524181,86701160,86849415,87272894,87327161,87581395,87800249,87977129,88014352,88300661,88418069,88462334,88679612,88727238,88756759,89060620,89090681,89119829,89178101,89425975,89729770,90257872,90423209,90594254,90743259,90998872,91169455,91425749,91625081,91773614,92446709,92514487,92531321,92639376,92897141,93289589,93317561,93373481,93568949,93918972,94402229,94513771,94785892,95068227,95310521,95400415,95638649,95710098,95720501,95883989,96483775,96589109,96603451,96687614,96697109,96720834,96831929,96873316,97393692,97394452,97422761,97538805,97575064,97635711,98275241,98434169,98751161,98935541,99016146,99309615,99538601,99616949,99721301,99851561,99940399,...,13000948002224609129189241562732548350418446635966472539965330447558823187267841184242632390745077428298120721398745847087367254504119597794514509008517611127126133719969772714356804963824022339153358520758641211115723264517525275078649608536197649879096389046139548802111762589482994618709852899348620132384216499934552435013362530016820085131941680160220762559773042140377245944948962110744013767329081499692017435115339935088905746704997690969722121998284254767758311158853658819870240187477248744171149962098284938230931318542098844872546235378603921523487971788789786412822639176284524777907954261519333799150151645832404793020857577582654755966851969986934079722648590301126406337185403555228038042812207801256309930753177923098628121198240875605120693903466837880114446899869142067886068685193809445415024294151971353646746788487918831720156119895173300129313410138899223294533371684238030882264608074876021178632813432941612356114800162976995882985814896428381968404211880890963607944405153684068558324309932704376645117205370801865952806677046849160045004650685289212872576122772570383945978824418410752012349661383989233525877162303038452532259545620573427930201900191552236918377703352265762758347000867934426498349072937204917489170488386620306254533832147558825174192041455161636733253511332494001126201550350398161787598343406708518083704539362638436968024328476881847831346127011444823742261767943582979042955564386627495765878220020761259348440169215934207375515438670715546249056696673697276561065284484254316511101635574545316123728530888339378041075013197662196849971107793686957893175812339592195266516316654572988909993169765846395677292675110790652849448567694848462149345647041996938579623547181682659044132053946840208425377853441290951327295585590794941678849346097105561434699006347423183600324627121594545610921066056710441785718505861179193320301132106470215609600123571748243285319249950882530273932267838600292450603880309333141185693045556544557784768580436847168629974337950117042006937698180002748338992765551639481745211292935030192912890914228137799857585257892553105448280414241443337078502825899960031608495916889141617016598181969184018362708673765230070982392511752412060870782959414133824088697923929470513246743059144614624393316950676167968248570800697545941277015428131995628749557290483866583391143528744713673793911021230023597020135988746692483937567603836312280987032346089437213558588507107109885298818643849024953635678848078922360578146068030310173719417830119064208447896789892352718681424760798539966856864841625139618581702207736816693126443111616202445532625663233386351885359850695003996703673916682374671583417256700158942653702936132448989102212464360237507020119777966001549174966888042026909951183461967870898875493424675125686987169833249010664210771586439864893364699893611527739145755205186092807174017016921631379707137800484833683614424254500496042036241544211370594230850927463235685493876676771179064448233713294618298240816173039288240625986554199815183182727739521513267679494816989321923354920645926570073786644936109491977634053174332692635145527793328990903101443530359625643491804486015322738752434310211716715834978524532835077712367152848460606661438002529228473603548188482866271359229488198631429194039806804992196601717003062350581949501655474653041758770166410456003148116081307273472771477090969184173482681882156948041028562207338800769943799642579210384802661882293820419491732149691210809995640677498068985457576859998808410413519817315549057779995073791632540417704607413616955041238118151371931906533167486799812640433553270510732758099981408997436538731909404180430666886316931418600949062886195945860855009329599021028627036209040138044678722370184090092436860826781222485018336488752931770113030334710032249}
23851 430373059023470564949669814715203488385530679162668036041422757744302542660355: {1215381,1549145,1835141,1858974,2072253,2168621,2263565,2621630,2716278,2835413,3098030,3145956,3355941,3407261,3669974,3717636,4050590,4210653,4671268,4860708,5167421,5242820,5766134,5883293,6291384,6673240,7077807,7164101,7195341,7382030,7507395,7620861,7669718,8007888,8596493,8673028,8677145,8858436,8937375,9008874,9341752,9387965,9533200,9668078,9956342,10234430,10412574,10509471,10527998,10724850,10956740,11265558,11439840,11448281,11815181,12202496,12227645,12281316,12390040,12511275,12710253,12869820,13148088,13345360,13661774,13727808,13805141,13811540,13938795,14018789,14240174,14673174,14677432,14791599,14868048,14894375,15013530,15061565,15383198,15443784,16014432,16124213,16512111,16573848,16726554,16786301,16878830,16927653,17117261,17374257,17520701,17651438,17816612,17873250,18016236,18073878,18595865,18645579,19064800,19084901,19374014,19435613,19516820,19657275,19721630,19866981,20254596,20648309,20967760,21447900,21936941,21960021,22315038,22377981,22861229,22877760,23034590,23420184,23588730,23665956,23980430,24098756,24402944,24453230,24517983,24652601,25086254,25161312,25216340,25333781,25343416,25737480,26032013,26228702,26339645,26347707,26649533,27070613,27376653,27453312,27527828,27641508,27678413,28206741,28306476,28511343,28665581,28776516,28954665,29070158,29188075,29343876,29487401,29596238,29937401,29981021,30259608,30278181,30884976,31518453,31607574,32053589,32203288,33341645,33345101,33569774,33581253,33942075,34042059,34404861,34637261,34745598,34779518,34905941,35025690,35638653,35653253,36063641,36132365,36204880,36228699,36460101,36615701,37063262,37124054,37188590,37360736,38919261,39049181,39347429,39540590,39612665,39737253,39818261,40009974,40149413,40488878,40730490,40950830,41002265,41330813,41452901,41697250,41901221,42030828,42033209,42280340,42452861,42516915,42772622,42830030,43358838,43412621,43445856,43458869,43777145,44598148,44626308,45033141,45351376,45696413,45844653,45885593,46348421,46497581,46595321,46674341,46935572,47054488,47448708,47535198,47688638,47956820,48020981,48579748,48876588,49140996,49195652,49202718,49315672,49334981,49865630,50036700,50362916,50581013,50615375,50663294,50736408,50924693,51020298,51091755,51258974,51389741,51396036,51556421,52532574,52559332,52707621,52936299,53372480,53610521,53739461,54395213,54497872,54842909,54950558,55480131,55915653,56715501,56883230,57074213,57078459,57115101,57326318,57359054,57508395,57548184,57958574,58141709,58868813,59218430,59299478,59463533,59567500,59838756,60044040,60524079,60738450,61099221,61310106,61342288,62018030,62288381,62372861,62560949,62686821,63193913,63711640,63800558,64046976,64124441,64485988,64503638,64666461,64741707,64787680,64805198,64808861,65061741,65159213,65222021,65280590,65592341,66047775,66212030,66323732,66640701,66677630,67034901,67131065,67549545,68071181,68259876,68397821,68462375,69010074,69399640,70283993,70450960,70572981,70848653,71062116,71481000,71675595,71796461,71846318,71887565,72052475,72052848,72258590,72531021,72886140,73059758,73302893,73322093,73332941,73652030,74264189,74421636,74597645,74653755,74873541,74898038,75084760,75407956,75652653,75733733,75863515,76246400,76453968,76734424,77012558,77652542,77745216,77977145,78074595,78336708,78372741,78688214,78784121,78940095,78975638,79257330,79454436,79624013,79630672,79762574,79904654,80013156,80026196,80292062,80416125,80557278,81059454,81310142,81534590,81894740,82154850,82230221,82804228,83026541,83279568,83396253,84202768,84470355,84541152,84713540,84735701,84843161,85378181,85475981,85596269,85777200,86010714,86053721,86265078,86296598,86326227,86462970,86469501,86710308,86745956,86967254,87463368,87631840,88382436,88383261,89204213,89356373,89517174,89584506,89869087,90101712,90196756,90650774,90737165,90772613,91036218,91128398,91495680,91574894,91763438,92122840,92194581,92227168,92304158,92688974,92993252,93084590,93513651,93572574,93689514,93912221,94497592,94728114,94760501,95108796,95405465,96201029,96499350,96514901,96597998,96660521,96739653,97494141,97595392,97841508,98065145,98273688,98396289,98585820,99311453,99376581,...,17334597336299478838918988750310064467224595514621963386620440596745097583023788245656843187660103237730827628531661129449823006005492797059352678678023481502834844959959696952475739951765363118871144694344854948154297686023367033438199478048263533172128518728186065069482350119310659491613137199131493509845621999912736580017816706689093446842588906880294350079697389520502994593265282814325351689772108666256023246820453246785207662273330254626296162664379006357011081545138211759826986916636331658894866616131046584307908424722798459830061647171471895364650629051719715217096852235046033037210605682025778398866868861109873057361143436776873007955802626649245439630198120401501875116247204740304050723749610401675079907670903897464837494930987834140160925204622450506819262533158856090514758246925079260553365725535961804862329051317225108960208159860231066839084546851865631059377828912317374509686144099834694904843751243922149808153066883969327843981086528571175957872282507854618143925873538245424744432413243605835526822940494402487937075569395798880060006200913718950496768163696760511927971765891214336016466215178652311367836216404051270043012727494097903906935866922069649224503604469687683677796001157245901997798763916273223318893984515493741672711776196745100232256055273548848977671348443325334834935400467197549050131124542278024111606052483517915957365771302509130441794836015259764989682357258110638723940752515503327687837626694348345797920225621245609834020584894287394998742262231596368748087045979005755348135514099393754831638041184452504054766684263549595799961477058249277190901083119456260355355088872763985213324226354461860903056900147720870465931423593131282865794196055995918106164729575576878725509405262453611233837137921721268436394114121059922238465794796140748579598675129897578133766169495459394147894754742280589047624674481572257760401509475293620812800164762330991047092333267843373698576357118133723267471840412444188247590727408726077046358107249129558173299117266822722675916930906670331118657020735519308993615057246706923883854552304183733143447010523404140597707218988591116104670434533280042144661222518855489355464242625578691150278231686973427976523349003216081161043945885511765451597231905960684328990745526152832524422600901557290998094400930061255036020570842660838332743053978488777854858038326284898391881361640031462693514651662256645250090138448416374649376461452582951411451342809479847065091525132033271514238464105229814104194757373746898292557106825418944597195719856470291575233014398053289142486455500186158108936276982422257501924148821603260710167550977848469180479800926671995604898555576499562111223008933545256871603914843265318802949952480316676026826370621335398899955850722702546601577949290494531833991232900167582649559777665347552281028781919819857819599858148703652194340273581457076232022689228841839609517067313111578152565672667328056048322058948494125641134569950980913991835569028238752597644951059491064321088230719050987501315405599753577576970319362017690239326422652429231139894194568760098382193248145989303512070899110256846860703724438654537468591373812834191322405981353763651669912413615622287779971366043780103616489537131280808881917336705637964804730917977155028478972650931508572258719742406656262135622670749800775932668873966204055678360221880608004197488108409697963695302787958912231310242509542597388038082943118401026591732856772280513070215843058427225988976199588281079994187569997425313943435813331744547218026423087398743706660098388843387223606143218155940054984157535162575875377556649066416853911404360680977010799975211996582051642545872240574222515089241891467932083848261261147806679106132028038169381612053517392904963160245453456582481102374963313357781985003909026817373779613376332}
23852 431888654618094206804983395526094187223994884923076323684572174666298935247700: {452827,810322,905578,1096042,1476778,1620508,1762162,1878067,2478632,2587987,2763004,2788461,2902258,3621704,3861307,3932445,3945322,4074417,4194608,4229458,4284451,4474588,4608082,4647045,4718934,4891882,4956848,5081002,5175538,5269267,5409667,5504961,5576454,5614204,5839085,6075885,6214378,6390451,6480944,6553525,7006902,7291062,7367707,7721962,7864230,8174033,8192242,8341550,8388512,8474218,8568178,8649201,8896267,9437076,9593788,9864451,10009860,10161148,10537642,10677184,10724842,10841285,11073045,11379538,11504577,11677190,11811248,11846698,11916500,12011832,12126802,12611251,12686578,12842753,13009542,13287654,13338922,13513311,13695925,13804402,13883432,13973851,14012628,14299800,14502117,14641258,14734162,14923387,14934513,15020744,15253120,15351645,15487550,15618861,15791997,16087275,16375088,16408387,16435110,16588882,16681700,16898337,16947004,17159760,17264425,17530784,18303744,18346790,18421974,18585060,18686251,18952867,19304730,19564232,19635178,19722132,19750987,19824064,20018040,20279122,20492661,20591712,20717310,21352576,21360261,22009761,22016148,22098464,22175489,22270765,22302072,22389418,22520295,22570204,22655251,23074797,23165676,23831000,24021648,24098504,24355027,24396025,24400042,24860772,25089831,25318245,25948402,26171947,26209700,26477157,26489308,26584618,26724918,26809875,27006128,27024354,27110817,27203851,27461107,27846451,27854698,28177877,28597200,28870867,29061021,29275230,29280028,29381347,29582445,29753384,29753938,29763451,29837308,30024682,30123445,30295282,30381894,30503680,30655858,31226912,31376242,31411747,31451640,31520425,31554608,31646122,31679270,31703089,32005738,32171850,32690644,32922451,33173227,33262378,33472557,33548416,33889522,34316640,34409785,34547347,34551885,34694698,35130276,35169067,35383095,35498578,35498934,35970645,36148134,36301162,36502204,36604416,36679845,36746482,36855344,36900307,37280338,37369258,37515187,37608988,37629381,37637947,37741968,37813618,37824510,37902442,38015124,38128267,38168818,38368688,38495251,38606220,38612458,38861587,39125168,39343053,39410002,39470707,39682454,39713851,40254110,40294642,40346144,40370908,40736362,40925251,41172677,41179968,41291742,41462262,41618602,42024604,42143432,42459714,42587218,43151213,43164774,43564987,43605237,43922251,44015814,44394357,44753347,44775004,45256100,45306538,45389412,45568882,45873148,45934507,46327464,46700920,47139922,47225467,47401258,47411361,47518204,47685638,47692747,48304932,48391507,48445162,48613468,48623851,48983341,49434787,50354661,50439538,50931451,51044842,51304018,51892348,52118397,52169277,52253098,52317161,52339282,52538535,52850425,52870267,52983004,53114218,53346632,53544178,53674502,54113707,54307320,54917362,55594893,55602418,55686081,55687978,55747685,55782885,55944562,56041104,56352187,56689220,56796427,56907307,57350107,57651442,57681451,57736618,57811784,57906922,57927808,58669465,58672498,58781251,58818110,58927402,59310885,59436778,59501744,59546827,59873851,59946025,60014961,60044188,60724685,60733317,61095735,61126204,61426245,61468522,61494565,61644590,61714747,62059378,62545875,62953645,63046242,63238738,63264944,63380264,63420510,63960067,64158933,64245045,64489987,64701451,65038257,65085682,65168784,65336938,65521328,65603624,65699165,66256978,66340522,66715600,66897222,66939462,67008547,67112587,67142621,67648544,67838851,68027064,68122340,68149027,68355451,68528048,68561587,68839402,69075667,69503338,69676838,69834922,70000618,70043432,70276828,70331818,70403358,70581732,70607107,71173062,71215147,71302797,71417251,71532957,71719867,71935230,72066418,72623827,72869622,73314882,73547602,73677422,73711494,73793478,73804077,73973508,74414251,74459375,74554204,74710387,74798445,75023602,75055050,75187282,75202507,75544374,75620668,75994941,76104612,76153468,76168018,76530447,76570867,76677860,76730912,76888461,76983538,77094054,77636107,77716138,78447442,78690922,78798861,78838998,78853162,79639550,79785008,79825258,80058720,80213851,80310442,80607485,80698772,80873587,80967547,80984600,81279082,81465628,81746808,81809947,82325842,82425837,82685393,82904665,82968658,83200987,83517709,83582428,83690602,83930962,85030507,85324845,85395968,85934467,85989477,86038581,86221948,86322276,86565418,86748988,86749550,86883562,86937861,87360298,87365827,87836458,88063700,88536734,88549618,88603147,88827645,88854268,88866451,88949217,89129107,89351250,89379868,89758134,89893162,90066060,90681322,91013168,91107675,91207027,91310698,91463851,91782058,91860562,91965159,92013432,92801362,93027045,93086357,93327427,93855950,94097308,94162987,94259945,94749488,95073787,95308000,95376682,95567460,95700837,95918030,96070464,96696562,96708028,96728982,96755457,96774058,97181520,97207797,97238698,97920885,98089042,98397778,98629162,98860402,99228848,99318045,99485598,99538340,99810307,99831388,99888427,...,26001896004449218258378483125465096700836893271932945079930660895117646374535682368485264781490154856596241442797491694174734509008239195589029018017035222254252267439939545428713609927648044678306717041517282422231446529035050550157299217072395299758192778092279097604223525178965989237419705798697240264768432999869104870026725060033640170263883360320441525119546084280754491889897924221488027534658162999384034870230679870177811493409995381939444243996568509535516622317707317639740480374954497488342299924196569876461862637084197689745092470757207843046975943577579572825645278352569049555815908523038667598300303291664809586041715155165309511933703939973868159445297180602252812674370807110456076085624415602512619861506355846197256242396481751210241387806933675760228893799738284135772137370387618890830048588303942707293493576975837663440312239790346600258626820277798446589066743368476061764529216149752042357265626865883224712229600325953991765971629792856763936808423761781927215888810307368137116648619865408753290234410741603731905613354093698320090009301370578425745152245545140767891957648836821504024699322767978467051754324606076905064519091241146855860403800383104473836755406704531525516694001735868852996698145874409834978340976773240612509067664295117650348384082910323273466507022664988002252403100700796323575196686813417036167409078725276873936048656953763695662692254022889647484523535887165958085911128773254991531756440041522518696880338431868414751030877341431092498113393347394553122130568968508633022203271149090632247457061776678756082150026395324393699942215587373915786351624679184390533032633309145977819986339531692791354585350221581305698897135389696924298691294083993877159247094363365318088264107893680416850755706882581902654591171181589883357698692194211122869398012694846367200649254243189091221842132113420883571437011722358386640602264212940431219200247143496486570638499901765060547864535677200584901207760618666282371386091113089115569537160873694337259948675900234084013875396360005496677985531103278963490422585870060385825781828456275599715170515785106210896560828482886674157005651799920063216991833778283234033196363938368036725417347530460141964785023504824121741565918828267648177395847858941026493486118289229248786633901352335936497141601395091882554030856263991257499114580967733166782287057489427347587822042460047194040271977493384967875135207672624561974064692178874427117177014214219770597637287698049907271357696157844721156292136060620347438835660238128416895793579784705437362849521597079933713729683250279237163404415473633386252886223232404891065251326466772703770719701390007993407347833364749343166834513400317885307405872264897978204424928720475014040239555932003098349933776084053819902366923935741797750986849350251373974339666498021328421543172879729786729399787223055478291510410372185614348034033843262759414275600969667367228848509000992084072483088422741188461701854926471370987753353542358128896467426589236596481632346078576481251973108399630366365455479043026535358989633978643846709841291853140147573289872218983955268106348665385270291055586657981806202887060719251286983608972030645477504868620423433431669957049065670155424734305696921213322876005058456947207096376965732542718458976397262858388079613609984393203434006124701163899003310949306083517540332820912006296232162614546945542954181938368346965363764313896082057124414677601539887599285158420769605323764587640838983464299382421619991281354996137970915153719997616820827039634631098115559990147583265080835409214827233910082476236302743863813066334973599625280867106541021465516199962817994873077463818808360861333772633862837201898125772391891721710018659198042057254072418080276089357444740368180184873721653562444970036672977505863540226060669420064498}
23853 433409552920696941205512014183057819609224892637625021290695732544917781894301: {1215483,1358367,1644063,2025635,2168803,2215167,2430762,2643243,2883551,3098290,3168991,3453755,3670282,3717948,4026763,4144506,4337242,4353387,4527130,5243260,5432556,5593235,5670826,5917983,6026207,6196060,6291912,6344187,6711882,6814522,6883691,6912123,7017755,7078401,7337823,7339948,7435272,7596347,7621503,7763307,8101180,8364681,8421306,9310883,9321567,9342536,9721416,10334842,10485640,10510353,10734251,10936593,11532268,11582943,11766586,11796345,11992235,12148003,12288363,12512325,12582768,12701435,12711327,12852267,13143151,13346480,13868987,14155614,14328202,14390682,14764060,14895625,15014790,15241722,15339436,15806463,15875267,16015776,16087263,17069307,17118703,17192986,17346056,17354290,17515785,17716872,17770047,17874750,18017748,18190203,18683504,18775930,19007411,19029867,19066400,19336156,19514313,19912684,19931481,20008383,20468860,20706283,20706603,20825148,20852125,21018942,21055996,21086191,21183755,21449700,21913480,21961887,22101243,22433027,22531116,22554883,22879680,22896562,23231325,23254187,23630362,24402547,24404992,24455290,24562632,24652665,24780080,24883323,25022550,25420506,25739640,26034211,26296176,26376251,26690720,27323548,27455616,27520185,27552907,27610282,27623080,27632961,27877590,28037578,28212755,28480348,28957095,29346348,29354864,29452767,29583198,29736096,29788750,29939923,30027060,30123130,30255391,30418683,30766396,30887568,31075965,32028864,32248426,32762125,32956507,33024222,33111635,33147696,33453108,33515483,33572602,33584127,33757660,33855306,34234522,34748514,35041402,35302876,35633224,35746500,35929211,36032472,36147756,36600035,36600063,36875503,37191730,37291158,37296635,37822843,38129600,38169802,38748028,38871226,38922603,39033640,39314550,39443260,39733962,39876927,40087377,40509192,40536531,40863305,41296618,41782047,41935520,42895800,43873882,43912845,43920042,43945183,44630076,44630907,44755962,44932051,45037023,45042107,45333023,45442923,45572841,45627755,45722458,45755520,45983787,46069180,46501507,46592447,46678303,46840368,47011235,47064363,47177460,47331912,47469183,47518905,47960860,48008607,48197512,48257775,48597827,48805888,48906460,48907427,49035966,49305202,49893567,50171563,50172508,50322624,50432680,50463635,50585311,50667562,50686832,50834283,51474960,52042047,52064026,52457404,52530755,52679290,52695414,53247867,53248401,53299066,54141226,54222201,54451743,54753306,54906624,55055656,55119723,55283016,55356826,55457731,55920507,55968755,56053887,56413482,56570125,56612952,56720427,56736765,56853663,57022686,57144587,57253227,57331162,57341435,57403171,57458507,57553032,57909330,57918687,58140316,58146607,58376150,58687752,58974802,59115003,59168723,59192476,59397755,59523681,59874802,59962042,59999171,60381165,60441963,60509867,60519216,60556362,60766835,61104543,61288003,61769952,61937613,62052287,62193393,62427903,63036906,63215148,63689571,63880827,64107178,64129843,64406576,64747161,64814347,64865435,65850431,66023721,66228755,66683290,66690202,66705323,67139548,67162506,67196291,67884150,67959807,68084118,68353323,68403583,68809722,69110051,69274522,69491196,69559036,69592883,69811882,70051380,70628491,70709883,70861525,71101887,71277306,71306506,71528457,72127282,72264730,72409760,72457398,72667743,72827051,72920202,73231402,73309087,73935667,74126524,74238107,74248108,74377180,74721472,75055235,75659307,75734767,75898427,76407755,76567263,76956027,77838522,78098362,78379647,78508923,78694858,79081180,79225330,79474506,79636522,79671327,80019948,80298826,80316267,80499551,80511753,80977756,81460980,81901660,82004530,82376043,82661626,82905802,83394500,83403627,83531967,83802442,83916843,84061656,84066418,84560680,84850363,84905722,85033830,85127491,85152925,85545244,85660060,86477163,86604927,86666203,86717676,86825242,86860383,86891712,86917738,87554290,87846035,88008747,88227165,88391103,89155167,89196296,89252616,90066282,90702752,90889583,91107131,91392826,91689306,91771186,92202783,92466885,92696842,92995162,93089067,93190642,93192755,93348682,93491483,93871144,93983491,94108451,94108976,94525835,94569363,94704607,94858107,94897416,95070396,95130765,95191835,95377276,95847325,95913640,96041962,97159496,97628523,97753176,98005407,98281992,98391304,98405436,98631344,98669962,98832767,99385467,99510783,99731260,...,39002844006673827387567724688197645051255339907899417619895991342676469561803523552727897172235232284894362164196237541262101763512358793383543527025552833381378401159909318143070414891472067017460075562275923633347169793552575825235948825608592949637289167138418646406335287768448983856129558698045860397152649499803657305040087590050460255395825040480662287679319126421131737834846886332232041301987244499076052305346019805266717240114993072909166365994852764303274933476560976459610720562431746232513449886294854814692793955626296534617638706135811764570463915366369359238467917528853574333723862784558001397450454937497214379062572732747964267900555909960802239167945770903379219011556210665684114128436623403768929792259533769295884363594722626815362081710400513640343340699607426203658206055581428336245072882455914060940240365463756495160468359685519900387940230416697669883600115052714092646793824224628063535898440298824837068344400488930987648957444689285145905212635642672890823833215461052205674972929798113129935351616112405597858420031140547480135013952055867638617728368317711151837936473255232256037048984151967700577631486909115357596778636861720283790605700574656710755133110056797288275041002603803279495047218811614752467511465159860918763601496442676475522576124365484910199760533997482003378604651051194485362795030220125554251113618087915310904072985430645543494038381034334471226785303830748937128866693159882487297634660062283778045320507647802622126546316012146638747170090021091829683195853452762949533304906723635948371185592665018134123225039592986590549913323381060873679527437018776585799548949963718966729979509297539187031878025332371958548345703084545386448036941125990815738870641545047977132396161840520625276133560323872853981886756772384825036548038291316684304097019042269550800973881364783636832763198170131325357155517583537579960903396319410646828800370715244729855957749852647590821796803515800877351811640927999423557079136669633673354305741310541505889923013850351126020813094540008245016978296654918445235633878805090578738672742684413399572755773677659316344841242724330011235508477699880094825487750667424851049794545907552055088126021295690212947177535257236182612348878242401472266093771788411539740229177433843873179950852028503904745712402092637823831046284395986886248671871451599750173430586234141021381733063690070791060407966240077451812702811508936842961097038268311640675765521321329655896455931547074860907036544236767081734438204090930521158253490357192625343690369677058156044274282395619900570594524875418855745106623210450079379329334848607336597876989700159055656079552085011990111021750047124014750251770100476827961108808397346967306637393080712521060359333898004647524900664126080729853550385903612696626480274025377060961509499747031992632314759319594680094099680834583217437265615558278421522051050764894139121413401454501050843272763501488126108724632634111782692552782389707056481630030313537193344701139883854894722448519117864721877959662599445549548183218564539803038484450967965770064761937779710221359934808328475932902159522998077905436583379986972709304330591078876930475413458045968216257302930635150147504935573598505233137101458545381819984314007587685420810644565448598814077688464595894287582119420414976589805151009187051745848504966423959125276310499231368009444348243921820418314431272907552520448045646470844123085686622016402309831398927737631154407985646881461258475196449073632429986922032494206956372730579996425231240559451946647173339985221374897621253113822240850865123714354454115795719599502460399437921300659811532198274299944226992309616195728212541292000658950794255802847188658587837582565027988797063085881108627120414134036167110552270277310582480343667455055009466258795310339091004130096747}
23854 434935772363839275478577040690643237885980877507415139385243281941662677069593: {548113,905654,976333,1261453,1620644,1811156,2192084,2399053,2540929,2682733,2953556,3241016,3524324,3646143,3756134,3955729,4519633,4647435,4957264,5175974,5363329,5505423,5526008,5576922,5804516,5924353,6216759,6505863,6554075,6790695,6903373,7243408,7461229,7722614,7745075,7864890,7890644,8148834,8174719,8389216,8458916,8506239,8568902,8949176,9174935,9216164,9294090,9437868,9783764,9913696,10067823,10126475,10162004,10221783,10351076,10538534,10819334,11009922,11152908,11228408,11678170,12151770,12156493,12428756,12631959,12780902,12961888,12976429,13107050,13112833,14013804,14415335,14582124,14735414,15150253,15177799,15443924,15502263,15728460,16348066,16384484,16683100,16777024,16948436,17136356,17298402,17649879,17792534,17841613,18376429,18455075,18874152,19043329,19174295,19187576,19728902,20019720,20239213,20322296,20901073,21075284,21233421,21354368,21449684,21492303,21586023,21682570,21692929,21824653,22146090,22350829,22482193,22522185,22759076,22862583,23009154,23354380,23622496,23693396,23833000,24023664,24170195,24253604,24890855,25094353,25222502,25373156,25586075,25685506,25789479,26019084,26031435,26319995,26389633,26575308,26677844,26812125,27026622,27391850,27549229,27608804,27766864,27947702,28025256,28163895,28599600,28958593,29004234,29282516,29468324,29846774,29869026,30041488,30506240,30703290,30866413,30975100,31179071,31237722,31528413,31583994,32174550,32750176,32816774,32870220,33177764,33259729,33363400,33760273,33796674,33894008,34154435,34319520,34344843,34528850,35006593,35061568,35254993,35445543,35600435,35750929,36607488,36682935,36693580,36843948,37170120,37372502,37467287,37533825,37600429,37905734,38090893,38130759,38457995,38609460,39128464,39270356,39433729,39444264,39501974,39648128,40036080,40162513,40558244,40985322,41183424,41250829,41415423,41434620,41816385,42056367,42172823,42197075,42705152,42720522,43171213,43767553,44019522,44032296,44128595,44196928,44350978,44374797,44541530,44604144,44683125,44778836,45040590,45140408,45184695,45309613,45310502,45427729,46149594,46331352,46487533,46722253,47662000,47774929,48043296,48173699,48197008,48357229,48372639,48435035,48473473,48710054,48792050,48800084,48937729,49304075,49516429,49536333,49721544,50179662,50208493,50358903,50553553,50636490,50782959,51351783,51896804,52122771,52343894,52382929,52419400,52562103,52950829,52954314,52978616,53169236,53449836,53619750,53968513,54012256,54048708,54221634,54407702,54746087,54922214,55692902,55709396,55787595,55874893,55936737,56355754,56431633,57194400,57254703,57318673,57586475,57741734,57889403,58091053,58122042,58306839,58550460,58560056,58762694,58971825,59164890,59506768,59507876,59526902,59600943,59625229,59674616,59734273,59951075,60049364,60246890,60590564,60763788,61007360,61133075,61311716,61792429,61944927,62453824,62715635,62752484,62823494,62903280,63040850,63109216,63292244,63358540,63406178,64011476,64036993,64343700,64989229,65381288,65571755,65810823,65844902,65880063,65935633,66346454,66524756,66945114,67096832,67133943,67779044,68583687,68633280,68636929,68819570,69048193,69094694,69103770,69389396,69765133,70260552,70338134,70580173,70766190,70997156,70997868,71693329,71941290,72196429,72296268,72602324,72675395,72797773,73004408,73208832,73296913,73359690,73492964,73553949,73710688,73800614,73957803,73990595,74091793,74190829,74560676,74738516,75030374,75217976,75258762,75275894,75483936,75627236,75649020,75804884,76001343,76030248,76253953,76256534,76337636,76737376,76740493,76990502,77212440,77224916,77225233,77515213,77723174,78046759,78093229,78096039,78250336,78686106,78820004,78941414,79018935,79043121,79364908,79427702,79431853,79621933,79948599,80508220,80589284,80692288,80741816,80850433,81211839,81413329,81472724,81850502,81880429,82129959,82137251,82345354,82359936,82583484,82924524,83035239,83237204,83638993,83822593,83924435,84049208,84286864,84620223,84919428,85014559,85174436,85462033,85534029,85552429,85913293,85996743,86092391,86302426,86329548,86362753,86542033,86810413,86863995,86948795,87129974,87210474,87564225,87844502,88031628,88135103,88462203,88788714,89196673,89277551,89506694,89550008,89632813,89812203,89893633,89943063,90499693,90512200,90613076,90778824,90834543,91137764,91701229,91746296,91869014,91978831,92654928,92658155,92810135,92971475,93393229,93401840,93477073,94279844,94450934,94555359,94802516,94822722,94973953,95036408,95371276,95385494,95385613,96160767,96366253,96609864,96783014,96890324,97226936,97247702,97497229,97817773,97966682,98702747,98772493,98851475,98869574,99009553,99560173,...,52003792008898436516756966250930193401673786543865890159861321790235292749071364736970529562980309713192482885594983388349469018016478391178058036034070444508504534879879090857427219855296089356613434083034564844462893058070101100314598434144790599516385556184558195208447050357931978474839411597394480529536865999738209740053450120067280340527766720640883050239092168561508983779795848442976055069316325998768069740461359740355622986819990763878888487993137019071033244635414635279480960749908994976684599848393139752923725274168395379490184941514415686093951887155159145651290556705138099111631817046077335196600606583329619172083430310330619023867407879947736318890594361204505625348741614220912152171248831205025239723012711692394512484792963502420482775613867351520457787599476568271544274740775237781660097176607885414586987153951675326880624479580693200517253640555596893178133486736952123529058432299504084714531253731766449424459200651907983531943259585713527873616847523563854431777620614736274233297239730817506580468821483207463811226708187396640180018602741156851490304491090281535783915297673643008049398645535956934103508649212153810129038182482293711720807600766208947673510813409063051033388003471737705993396291748819669956681953546481225018135328590235300696768165820646546933014045329976004504806201401592647150393373626834072334818157450553747872097313907527391325384508045779294969047071774331916171822257546509983063512880083045037393760676863736829502061754682862184996226786694789106244261137937017266044406542298181264494914123553357512164300052790648787399884431174747831572703249358368781066065266618291955639972679063385582709170700443162611397794270779393848597382588167987754318494188726730636176528215787360833701511413765163805309182342363179766715397384388422245738796025389692734401298508486378182443684264226841767142874023444716773281204528425880862438400494286992973141276999803530121095729071354401169802415521237332564742772182226178231139074321747388674519897351800468168027750792720010993355971062206557926980845171740120771651563656912551199430341031570212421793121656965773348314011303599840126433983667556566468066392727876736073450834695060920283929570047009648243483131837656535296354791695717882052986972236578458497573267802704671872994283202790183765108061712527982514998229161935466333564574114978854695175644084920094388080543954986769935750270415345249123948129384357748854234354028428439541195274575396099814542715392315689442312584272121240694877671320476256833791587159569410874725699043194159867427459366500558474326808830947266772505772446464809782130502652933545407541439402780015986814695666729498686333669026800635770614811744529795956408849857440950028080479111864006196699867552168107639804733847871483595501973698700502747948679332996042656843086345759459573458799574446110956583020820744371228696068067686525518828551201939334734457697018001984168144966176845482376923403709852942741975506707084716257792934853178473192963264692157152962503946216799260732730910958086053070717979267957287693419682583706280295146579744437967910536212697330770540582111173315963612405774121438502573967217944061290955009737240846866863339914098131340310849468611393842426645752010116913894414192753931465085436917952794525716776159227219968786406868012249402327798006621898612167035080665641824012592464325229093891085908363876736693930727528627792164114248829355203079775198570316841539210647529175281677966928598764843239982562709992275941830307439995233641654079269262196231119980295166530161670818429654467820164952472605487727626132669947199250561734213082042931032399925635989746154927637616721722667545267725674403796251544783783443420037318396084114508144836160552178714889480736360369747443307124889940073345955011727080452121338840128996}
23855 436467331443738511316392828880260974659068330809190478547593954483582109265170: {1358481,2025805,2263945,2430966,2716734,2740105,2835889,2883793,3288126,3407833,3691945,4051270,4337606,4405405,4430334,4455649,4835257,4861524,5286486,5634201,5767102,6196580,6337982,6907510,7121881,7255645,7340564,7435896,7693537,7763961,7830529,8053526,8120233,8289012,8365383,8674484,8706774,8977501,9054260,9824857,9863305,10406281,10486520,10573645,10865112,11186470,11257873,11341652,11520205,11583921,11797335,11835966,12052414,12223251,12229705,12392120,12583824,12685933,12688374,12702505,12853353,12938845,13423764,13629044,13767382,13824246,13941135,14035510,14156802,14675646,14679896,14870544,14970829,15192694,15243006,15526614,15535945,15807801,16202360,16229001,16390621,16514883,16729362,16789129,16842612,16970113,17517255,17782009,18227655,18566713,18621766,18643134,18685072,19171353,19304905,19442832,19660575,20480605,20669684,20853875,20971280,21020706,21185545,21243577,21420445,21468502,21693793,21873186,22103121,23064536,23165886,23527321,23533172,23592690,23984470,24296006,24522099,24576726,25024650,25165536,25338049,25402870,25422654,25525597,25704534,25947603,26286302,26344105,26378473,26688801,26692960,26812105,26898553,27482221,27737974,28311228,28448845,28656404,28686769,28781364,29192975,29528120,29593353,29616745,29657257,29791250,30029580,30317005,30483444,30678872,31171933,31612926,31716445,31750534,32031552,32174526,32259961,32523855,33219135,33347305,34138614,34237406,34385972,34511005,34513731,34692112,34708580,35031570,35433744,35540094,35749500,36035496,36380406,36539101,36603145,36835405,37367008,37458481,37551860,37833753,38014822,38059734,38132800,38528259,38672312,38718875,38801713,39028626,39148909,39497857,39825368,39862962,39962413,40016766,40156177,40539933,40665337,40907449,40937720,41087775,41412566,41413206,41472205,41650296,41704250,41921553,42037884,42111992,42172382,42367510,42899400,43159201,43494649,43506351,43826960,43923774,44202486,44770161,44803539,44866054,45045913,45062232,45109766,45759360,45793124,45799009,45866975,46054935,46356289,46462650,46508374,46856583,47113033,47260724,47375991,48261825,48601921,48805094,48809984,48910580,49087945,49125264,49225161,49305330,49560160,49766646,50045100,50285101,50695011,50697805,50841012,51240049,51479280,51632653,51793275,52068422,52215289,52280353,52488049,52592352,52752502,53231581,53381440,54404377,54647096,54852193,54911232,55040370,55063801,55105814,55220564,55246160,55265922,55755180,55973545,56058753,56075156,56425510,56858601,56960696,57149401,57208627,57914190,58692696,58709728,58905534,59166396,59252961,59406253,59472192,59577500,59879846,60004237,60054120,60246260,60261361,60510782,60804529,60837366,61000105,61085593,61477983,61532792,61645681,61775136,62151930,62383369,62571553,63878857,64057728,64080783,64496852,64871005,65140273,65233009,65524250,65815729,65913014,66029283,66048444,66223270,66295392,66461545,66526467,66812295,66906216,67030966,67057897,67145204,67168254,67201969,67515320,67560885,67710612,67965753,68082649,68219833,68469044,69115873,69224391,69497028,69636745,70082804,70605752,70649089,71056813,71266448,71493000,71511661,71808649,71858422,72064944,72295512,72481273,72833233,73065081,73188075,73200070,73200126,73334521,73345393,73543057,73600057,73751006,74244361,74383460,74384845,74582316,74593270,74760409,75061705,75101737,75269493,75645686,75738205,75954735,76259200,76339604,76639645,76754653,77496056,77742452,77780281,77845206,78067280,78356257,78440605,78515841,78629100,78886520,79115305,79198175,79431471,79467924,79484449,79753854,80014345,80174754,80278009,80429625,81017233,81018384,81073062,81332451,81611553,81726610,82383321,82593236,83155945,83156857,83539353,83564094,83871040,84533631,84723805,84750049,85073569,85791600,86068333,86612601,86736745,87183063,87747764,87825690,87840084,87890366,88144041,88735081,88746445,88747335,89260152,89261814,89290353,89511924,89688049,89698141,89864102,90074046,90084214,90370335,90666046,90752905,90811609,90885846,91145682,91255510,91444916,91511040,91866205,91909837,91967574,92138360,92720257,93003014,93184894,93200845,93356606,93423145,93680736,94022470,94116397,94128726,94235241,94354920,94534045,94561275,94663824,94756105,94938366,95037810,95109267,95135833,95422045,95482297,95882737,95921720,96017214,96395024,96515550,96531145,97195654,97611776,97812920,97814854,98071932,98525005,98610404,98767353,99206135,99216577,99519681,99787134,...,78005688013347654775135449376395290102510679815798835239791982685352939123607047105455794344470464569788724328392475082524203527024717586767087054051105666762756802319818636286140829782944134034920151124551847266694339587105151650471897651217185899274578334276837292812670575536897967712259117396091720794305298999607314610080175180100920510791650080961324575358638252842263475669693772664464082603974488998152104610692039610533434480229986145818332731989705528606549866953121952919221441124863492465026899772589709629385587911252593069235277412271623529140927830732738718476935835057707148667447725569116002794900909874994428758125145465495928535801111819921604478335891541806758438023112421331368228256873246807537859584519067538591768727189445253630724163420801027280686681399214852407316412111162856672490145764911828121880480730927512990320936719371039800775880460833395339767200230105428185293587648449256127071796880597649674136688800977861975297914889378570291810425271285345781647666430922104411349945859596226259870703232224811195716840062281094960270027904111735277235456736635422303675872946510464512074097968303935401155262973818230715193557273723440567581211401149313421510266220113594576550082005207606558990094437623229504935022930319721837527202992885352951045152248730969820399521067994964006757209302102388970725590060440251108502227236175830621808145970861291086988076762068668942453570607661497874257733386319764974595269320124567556090641015295605244253092632024293277494340180042183659366391706905525899066609813447271896742371185330036268246450079185973181099826646762121747359054874037553171599097899927437933459959018595078374063756050664743917096691406169090772896073882251981631477741283090095954264792323681041250552267120647745707963773513544769650073096076582633368608194038084539101601947762729567273665526396340262650714311035167075159921806792638821293657600741430489459711915499705295181643593607031601754703623281855998847114158273339267346708611482621083011779846027700702252041626189080016490033956593309836890471267757610181157477345485368826799145511547355318632689682485448660022471016955399760189650975501334849702099589091815104110176252042591380425894355070514472365224697756484802944532187543576823079480458354867687746359901704057007809491424804185275647662092568791973772497343742903199500346861172468282042763466127380141582120815932480154903625405623017873685922194076536623281351531042642659311792911863094149721814073088473534163468876408181861042316506980714385250687380739354116312088548564791239801141189049750837711490213246420900158758658669697214673195753979400318111312159104170023980222043500094248029500503540200953655922217616794693934613274786161425042120718667796009295049801328252161459707100771807225393252960548050754121923018999494063985264629518639189360188199361669166434874531231116556843044102101529788278242826802909002101686545527002976252217449265268223565385105564779414112963260060627074386689402279767709789444897038235729443755919325198891099096366437129079606076968901935931540129523875559420442719869616656951865804319045996155810873166759973945418608661182157753860950826916091936432514605861270300295009871147197010466274202917090763639968628015175370841621289130897197628155376929191788575164238840829953179610302018374103491697009932847918250552620998462736018888696487843640836628862545815105040896091292941688246171373244032804619662797855475262308815971293762922516950392898147264859973844064988413912745461159992850462481118903893294346679970442749795242506227644481701730247428708908231591439199004920798875842601319623064396548599888453984619232391456425082584001317901588511605694377317175675165130055977594126171762217254240828268072334221104540554621164960687334910110018932517590620678182008260193494}
23856 438004248720487154846354825170046431784986053540990053977587653336400074634626: {548159,690983,881303,1023959,1096226,1593863,1811308,1952666,1973159,2115263,2446559,2522906,2588423,2682959,3241288,3249503,3622312,3646449,3956063,4075101,4238183,4384168,4566959,4798106,4932189,5081858,5270159,5363783,5365466,5410583,5504159,5907112,6064943,6076905,6204959,6482032,6506409,6645501,6903959,7048648,7229543,7292286,7461863,7512268,7745725,7911458,7929729,8157623,8435423,8650653,8990159,9039266,9175705,9294870,9313223,9506973,9589823,9914528,10280063,10351948,10361265,10693343,10726658,10843105,11010846,11052016,11153844,11317825,11380703,11609032,11655143,11848706,12080289,12203159,12433518,12844909,13011726,13060161,13108150,13113959,13431983,13581390,13658903,13806746,14177065,14486816,14922458,15016223,15151559,15286823,15445228,15490150,15729780,15781288,15827159,16297668,16349438,16778432,16779705,16917832,17012478,17036305,17083463,17137804,17485943,17753903,17753949,17898352,18078621,18349870,18378023,18432328,18588180,18875736,19032561,19044983,19089383,19311263,19567528,19621559,19827392,19842959,20135646,20181469,20252950,20285159,20324008,20443566,20651073,20702152,20736369,21053265,21077068,21079103,21235203,21638668,22013469,22019844,22305816,22456816,22789041,22790423,22864509,23289921,23356340,23706863,23924543,24303540,24312986,24359303,24749903,24857512,25094043,25263918,25399463,25561804,25658783,25837105,25923776,25952858,26214100,26225666,26844013,26908103,27465959,27551663,27932649,27964701,27979703,28027608,28830670,28961159,29088863,29164248,29416465,29470828,29471543,30300506,30355598,30869159,30887848,31004526,31456920,31531059,31627823,31922159,32202753,32425823,32677223,32696132,32768968,32809779,33262703,33304463,33366200,33554048,33838273,33896872,34272712,34553543,34596804,34636559,34748829,34847197,35175383,35258159,35299758,35389035,35547623,35585068,35683226,35795423,35820505,35976705,36166583,36444009,36752858,36847993,36865089,36906959,36910150,36989063,37536975,37603823,37644743,37748304,37849223,38086658,38104305,38133981,38135159,38339159,38348590,38375152,38556801,38624423,39234383,39356159,39429453,39457804,39477863,40039440,40478426,40644592,41294783,41606961,41802146,41976959,42150568,42466842,42708736,42899368,42982465,42984606,43172046,43365140,43385725,43385858,43572959,43649306,43652423,44049263,44279521,44292180,44484863,44686875,44701658,44761559,44964386,45044370,45077303,45353159,45471263,45518152,45667943,45725166,46018308,46256783,46530959,46708760,46939825,47244992,47386792,47419389,47625801,47666000,47779343,47816209,48047328,48261789,48340390,48400463,48477959,48507208,48942263,48980903,49328303,49443959,49521023,49781710,49840609,50188706,50213159,50328263,50445004,50673143,50746312,51172150,51207921,51284663,51356109,51371012,51578958,51932159,52038168,52062870,52198103,52547355,52615223,52639990,52779266,52880159,52955783,53150616,53310141,53355688,53624250,53841193,54053244,54123863,54198959,54570609,54783700,54873383,55098458,55217608,55433423,55533728,55895404,56050512,56327790,56436959,56696183,56881103,56991959,57022233,57089601,57102743,57199200,57241405,57250343,57360959,57917186,58008468,58023143,58353263,58542939,58565032,58755863,58902023,58936648,59075905,59558159,59630903,59693548,59738052,59739959,59794443,60025149,60082976,60718223,60934823,61012480,61079063,61138225,61259183,61406580,61726559,61732826,61780033,61798343,61950200,62013503,62118849,62119809,62358142,62475444,62550143,62556375,63056826,63167988,63258573,63440543,63551265,63759863,64043159,64349100,64502423,64699921,64995503,65451959,65500352,65633548,65740440,65885661,66303729,66355528,66395663,66519458,66604583,66726800,67090943,67299081,67520546,67593348,67664649,67788016,67809049,67955543,68058959,68231159,68308870,68414749,68639040,68643623,68689686,69025705,69057700,69089159,69693975,69762561,69771959,70013186,70093945,70123136,70383743,70509986,70519343,70620959,70688663,70891086,71200870,71229143,71501858,71733983,71801159,72237023,73038143,73207641,73214976,73304159,73365870,73387160,73536503,73687896,73957995,74132159,74340240,74471875,74649969,74725223,74745004,74934574,75020783,75067650,75119159,75200858,75217463,75307825,75675263,75811468,76098959,76181786,76261518,76748159,76915990,77218920,77232959,77458583,77940743,78102633,78133103,78256928,78293183,78516959,78540712,78867458,78888528,78899663,79003948,79128753,79249463,79296256,79471559,79629959,80072160,80325026,80621065,80670383,80889959,81116488,81452783,81608663,81888743,81919823,81970644,82366848,82501658,82560555,82658721,82830846,82869240,82898883,83371559,83463623,83632770,83678159,83931505,84045023,84112734,84345646,84394150,84638265,84835943,85199159,85410304,85441044,85586305,85741823,85952159,86342426,86849159,86871285,87443159,87535106,87603505,87798023,87801889,88039044,88064592,88092863,88257190,88328159,88358301,88393856,88533623,88701956,88749594,89083060,89118503,89205959,89208288,89293343,89366250,89557672,89642159,89819769,90081180,90280816,90369390,90619226,90621004,90766173,90855458,91226159,91256049,91283303,91800457,92299188,92560583,92662704,92975066,92979325,93010823,93227895,93403103,93444506,93486959,93682343,94099703,95094023,95324000,95424505,95549858,95641943,95751143,95832959,96086592,96347398,96394016,96714458,96745278,96870070,96946946,97178065,97420108,97584100,97600168,97875458,97988159,98286375,98386559,98608150,98783159,98869521,99032858,99072666,99334905,99443088,99649343,99831959,99884063,...,117008532020021482162703174064592935153766019723698252859687974028029408685410570658183691516705696854683086492588712623786305290537076380150630581076658500144135203479727954429211244674416201052380226686827770900041509380657727475707846476825778848911867501415255939219005863305346951568388676094137581191457948499410971915120262770151380766187475121441986863037957379263395213504540658996696123905961733497228156916038059415800151720344979218727499097984558292909824800429682929378832161687295238697540349658884564444078381866878889603852916118407435293711391746099108077715403752586560723001171588353674004192351364812491643137187718198243892803701667729882406717503837312710137657034668631997052342385309870211306789376778601307887653090784167880446086245131201540921030022098822278610974618166744285008735218647367742182820721096391269485481405079056559701163820691250093009650800345158142277940381472673884190607695320896474511205033201466792962946872334067855437715637906928018672471499646383156617024918789394339389806054848337216793575260093421642440405041856167602915853185104953133455513809419765696768111146952455903101732894460727346072790335910585160851371817101723970132265399330170391864825123007811409838485141656434844257402534395479582756290804489328029426567728373096454730599281601992446010135813953153583456088385090660376662753340854263745932712218956291936630482115143103003413680355911492246811386600079479647461892903980186851334135961522943407866379638948036439916241510270063275489049587560358288848599914720170907845113556777995054402369675118778959771649739970143182621038582311056329757398646849891156900189938527892617561095634075997115875645037109253636159344110823377972447216611924635143931397188485521561875828400680971618561945660270317154475109644114873950052912291057126808652402921644094350910498289594510393976071466552750612739882710188958231940486401112145734189567873249557942772465390410547402632055434922783998270671237410008901020062917223931624517669769041551053378062439283620024735050934889964755335706901636415271736216018228053240198718267321032977949034523728172990033706525433099640284476463252002274553149383637722656165264378063887070638841532605771708547837046634727204416798281315365234619220687532301531619539852556085511714237137206277913471493138853187960658746015614354799250520291758702423064145199191070212373181223898720232355438108434526810528883291114804934922027296563963988967689367794641224582721109632710301245203314612272791563474760471071577876031071109031174468132822847186859701711783574626256567235319869631350238137988004545822009793630969100477166968238656255035970333065250141372044250755310301430483883326425192040901919912179242137563181078001694013942574701992378242189560651157710838089879440822076131182884528499241095977896944277958784040282299042503749652311796846674835264566153152294682417364240204363503152529818290504464378326173897902335348077658347169121169444890090940611580034103419651564684167345557353594165633878987798336648644549655693619409115453352903897310194285813339130664079804424985427798706478568994233716309750139960918127912991773236630791426240374137904648771908791905450442514806720795515699411304375636145459952942022763056262431933696345796442233065393787682862746358261244929769415453027561155237545514899271877375828931497694104028333044731765461254943293818722657561344136939412532369257059866049206929494196783212893463223956940644383775425589347220897289960766097482620869118191739989275693721678355839941520019955664124692863759341466722552595371143063362347387158798507381198313763901979434596594822899832680976928848587184637623876001976852382767408541565975763512747695083966391189257643325881361242402108501331656810831931747441031002365165028398776385931017273012390290241}
23857 439546542818272071205453125604335892135497190828034329353758325057329792579130: {23857,1644339,2264135,2716962,2836127,2928999,3169523,3408119,3784359,3836147,4027439,4051610,4527890,4861932,4979843,5168723,5265767,5433468,5480210,5671778,5767586,6167567,6576252,6815666,7197159,7383890,7622787,8048199,8102540,8598659,8675212,8810810,8860668,8911298,9390335,9596639,9670514,9723048,10157903,10572972,10938429,11268402,11534204,11867187,12393160,12675964,12939935,13304759,13558899,13808627,13815020,13942305,14243762,14511290,14681128,14803103,14871792,15387074,15527922,15661058,16089987,16107052,16128287,16240466,16516269,16578024,16730766,16732103,17121587,17348968,17413548,17773059,17783507,17955002,18108520,18114383,18650277,19089719,19306535,19517589,19649714,19662225,19726610,20372085,20653523,20710119,20812562,20973040,21147290,21422255,21730224,21750323,21942479,22372940,22383687,22515746,22683304,23040410,23167842,23235225,23594670,23671932,24104828,24446502,24459410,24524157,24784240,25167648,25371866,25376748,25405010,25518717,25638119,25706706,25877690,26346335,26847528,26900819,27026867,27048335,27077447,27258088,27285983,27524805,27534764,27648492,27882270,28071020,28313604,28672847,29195425,29351292,29359792,29494847,29659763,29741088,29941658,29944967,29988623,30203469,30379425,30385388,30486012,30665349,31053228,31071890,31174559,31615602,31789199,31911023,31952255,32061683,32404720,32458002,32767625,32781242,33029766,33135443,33353519,33458724,33578258,33685224,33940226,35034510,35564018,36455310,36469479,36624947,36838535,36881747,37133426,37243532,37286268,37370144,37536947,37895877,38342706,38609810,38885664,38929287,39059039,39152207,39321150,39338499,39828383,39894719,40870165,40910903,40961210,41339368,41341247,41463443,41707750,41911799,41942560,42041412,42043823,42371090,42443807,42487154,42840890,42937004,43246005,43387586,43469843,43746372,43754663,44206242,44403023,44481335,45450759,45533397,46129072,46167623,46331772,46506789,46607087,46686227,47054642,47066344,47185380,47968940,48033107,48315407,48345167,48592012,49044198,49153452,49322255,50049300,50331072,50676098,50805740,50845308,51051194,51244403,51402767,51409068,51569567,51870263,51895206,52572604,52688210,52756946,52949637,53236079,53377602,53385920,53524839,53624210,53753039,53797106,54151319,54206425,54964442,55129287,55365225,55475948,55679039,56622456,56897690,57129987,57312808,57373538,57522885,57562728,57947219,58061087,58156403,58385950,58883687,59056240,59186706,59233490,59314514,59582500,60059160,60634010,60717639,60809663,60966888,61090739,61357744,62304119,62343866,62703219,63056255,63225852,63432890,63501068,63700263,64063104,64140647,64213765,64349052,64476909,64519922,64758069,64825319,65047710,65078787,65473959,65608967,66438270,66694610,67052487,67063559,67446579,67566555,67958003,68277228,68415107,68474812,68479625,68587749,68723123,68771944,69022010,69027462,69384224,69394943,69417160,69869255,70063140,70867488,70976927,71062799,71080188,71499000,72070992,72487379,72510585,72760812,73078202,73206290,73351619,73670810,73948199,74522999,74616935,74672565,74734016,74766707,74916962,74975759,75103720,75108083,75283059,75667506,76029644,76119468,76265600,76758225,76761119,76983959,77056518,77344624,77368437,77437750,77603426,78057252,78094305,78297818,78362963,78675923,78959985,78995714,79168899,79491203,79650736,79725924,79924826,80033532,80312354,80436375,80623439,81079866,81330674,81814898,81875440,82041935,82175550,82647687,82825132,82826412,82944410,83300592,83408500,83843106,84075768,84223984,84344764,84491685,84735020,84757223,84864767,85400147,85497647,85798800,86075639,86318402,86322125,86680919,86875779,86989298,87012702,87147863,87653920,87847548,88404972,88637903,88742579,89540322,89607078,89732108,90091826,90124464,90204983,90219532,90819407,91518720,91586248,91598018,91733950,92109870,92599239,92712578,92925300,93016748,93046163,93431255,93537213,93713166,93936167,94226066,94330463,94521448,94585239,94720643,94751982,94764335,95490359,95747639,96309719,96523650,96685103,97203842,97491443,97610188,97619968,97821160,98175890,98250528,98450322,98610660,98754935,99120320,99533292,99779187,...,156011376026695309550270898752790580205021359631597670479583965370705878247214094210911588688940929139577448656784950165048407054049435173534174108102211333525513604639637272572281659565888268069840302249103694533388679174210303300943795302434371798549156668553674585625341151073795935424518234792183441588610597999214629220160350360201841021583300161922649150717276505684526951339387545328928165207948977996304209221384079221066868960459972291636665463979411057213099733906243905838442882249726984930053799545179419258771175822505186138470554824543247058281855661465477436953871670115414297334895451138232005589801819749988857516250290930991857071602223639843208956671783083613516876046224842662736456513746493615075719169038135077183537454378890507261448326841602054561373362798429704814632824222325713344980291529823656243760961461855025980641873438742079601551760921666790679534400460210856370587175296898512254143593761195299348273377601955723950595829778757140583620850542570691563295332861844208822699891719192452519741406464449622391433680124562189920540055808223470554470913473270844607351745893020929024148195936607870802310525947636461430387114547446881135162422802298626843020532440227189153100164010415213117980188875246459009870045860639443675054405985770705902090304497461939640799042135989928013514418604204777941451180120880502217004454472351661243616291941722582173976153524137337884907141215322995748515466772639529949190538640249135112181282030591210488506185264048586554988680360084367318732783413811051798133219626894543793484742370660072536492900158371946362199653293524243494718109748075106343198195799854875866919918037190156748127512101329487834193382812338181545792147764503963262955482566180191908529584647362082501104534241295491415927547027089539300146192153165266737216388076169078203203895525459134547331052792680525301428622070334150319843613585277642587315201482860978919423830999410590363287187214063203509407246563711997694228316546678534693417222965242166023559692055401404504083252378160032980067913186619673780942535515220362314954690970737653598291023094710637265379364970897320044942033910799520379301951002669699404199178183630208220352504085182760851788710141028944730449395512969605889064375087153646158960916709735375492719803408114015618982849608370551295324185137583947544994687485806399000693722344936564085526932254760283164241631864960309807250811246035747371844388153073246562703062085285318623585823726188299443628146176947068326937752816363722084633013961428770501374761478708232624177097129582479602282378099501675422980426492841800317517317339394429346391507958800636222624318208340047960444087000188496059001007080401907311844435233589387869226549572322850084241437335592018590099602656504322919414201543614450786505921096101508243846037998988127970529259037278378720376398723338332869749062462233113686088204203059576556485653605818004203373091054005952504434898530536447130770211129558828225926520121254148773378804559535419578889794076471458887511838650397782198192732874258159212153937803871863080259047751118840885439739233313903731608638091992311621746333519947890837217322364315507721901653832183872865029211722540600590019742294394020932548405834181527279937256030350741683242578261794395256310753858383577150328477681659906359220604036748206983394019865695836501105241996925472037777392975687281673257725091630210081792182585883376492342746488065609239325595710950524617631942587525845033900785796294529719947688129976827825490922319985700924962237807786588693359940885499590485012455288963403460494857417816463182878398009841597751685202639246128793097199776907969238464782912850165168002635803177023211388754634351350330260111955188252343524434508481656536144668442209081109242329921374669820220037865035181241356364016520386988}
23858 441094232425594386140119897402976758950175218693354297251769486301461150682831: {738637,1096318,1381966,1762606,2047918,2192452,2304817,3187726,3296941,3622616,3905332,3946318,4075443,4230526,4285537,4893118,5045812,5176846,5365918,5411041,6077415,6482576,6499006,6531937,6791835,7244624,7292898,7912126,8150202,8204641,8220315,8476366,8507667,8651379,8768336,9133918,9596212,9864378,10128175,10163716,10223499,10540318,10727566,10730932,10821166,10844015,11008318,11075835,11381677,11814224,12129886,12153810,12409918,12751117,12845987,12964064,13012818,13216215,13291002,13366947,13807918,14097296,14113357,14417755,14459086,14505771,14584572,14656237,14923726,15024536,15180347,15333217,15491450,15822916,15844955,15859458,16008397,16315246,16816237,16870846,16902603,17268775,17301306,17980318,18078532,18156877,18351410,18589740,18626446,19013946,19091041,19179646,19829056,19847891,20133815,20560126,20703896,20722530,21365643,21386686,21453316,21476977,21686210,21766935,22021692,22104032,22307688,22635650,22761406,22792417,23080611,23218064,23291883,23310286,23491587,23697412,23850827,23970157,24160578,24360699,24406318,24867036,25096149,25401697,25689818,26023452,26120322,26216300,26227918,26863966,26932503,27162780,27317806,27613492,27966175,27982177,28354130,28973632,29133997,29474571,29589915,29844916,29898637,30032446,30131035,30303118,30573646,30890456,30980300,31218843,31459560,31562576,31654318,31720935,32595336,32698876,33307441,33556864,33559410,33773619,33835664,34024956,34072610,34166926,34275608,34418455,34560615,34751763,34929997,34971886,35088775,35178541,35392005,35507806,35507898,35796704,36157242,36171947,36669753,36689115,36699740,36756046,36864656,37033441,37176360,37648141,37751472,37981735,38057799,38065122,38089966,38107515,38178766,38560059,38622526,38627917,38816535,39135056,39243118,39654784,39685918,40271292,40331437,40362938,40505900,40570318,40648016,40887132,40936417,41057197,41183051,41302146,41404304,41472738,41823405,42106530,42154136,42158206,42470406,43277336,43457677,43696141,44026938,44039688,44053297,44611632,44912487,44913632,45578082,45580846,45729018,46300237,46554415,46579842,46607835,46712680,47413726,47423403,47849086,48607080,48625972,48687003,48718606,48985441,48995683,49171863,49217137,49499806,49544649,49715024,50148707,50188086,50367387,50371297,50527836,50798926,50910339,50945677,51060337,51123608,51317566,51674210,51847552,51905716,52330343,52428200,52451332,52551765,52771597,53346027,53671255,53688026,53816206,54128941,54682965,54931918,55103326,55700139,55865298,55929402,55959406,56055216,56145517,56590477,56923441,57476941,57514059,57661340,57914715,57922318,58177726,58328496,58797997,58832930,58907617,58941656,58943086,58981725,59961175,59999857,60175451,60601012,60711196,60740015,61441815,61738318,61775696,62009052,62055277,62561625,62591857,62913840,63062118,63255646,63446641,63507175,63556635,63730731,63844318,64261335,64405506,64508641,64851646,65081379,65354446,65392264,65537936,65619558,65715755,66271579,66309363,66402097,66525406,66608926,66732400,67108096,67132141,67676546,67793744,67962157,68545424,69107086,69193608,69273118,69344935,69497658,69694394,70350766,70516318,70581963,70599516,70729441,70778070,71095246,71170136,71236141,71366452,71438317,71539297,71590846,71641010,71953410,72333166,72444877,72888018,73505716,73566297,73695986,73730178,73813918,73820300,73978126,74478125,74535217,74732641,75073950,75207646,75289486,75496608,75698446,75701527,75715441,76014147,76173316,76208610,76267962,76270318,76463543,76576791,76678318,76697180,76750304,76982317,77113602,77248846,77842809,78333037,78468766,78712318,78858906,78907597,78915608,78955726,79032315,79135419,79376335,80066403,80078880,80137967,80332657,80436315,80695659,80956852,80992141,81289184,81928141,82207537,82446663,82589566,82706267,83213922,83502817,83604292,83953918,84301136,84510637,84933684,84965857,85346535,85417472,85593515,85798736,85964930,85969212,86060307,86230897,86344092,86730280,86771450,86771716,87145918,87298612,87304846,87578925,87836641,88098526,88454797,88559042,88584360,88780059,88850235,88894177,88969726,88971771,89156941,89331757,89373750,89403316,89523118,89928772,90088740,90154606,90706318,90942526,90951015,91036304,91321441,91335886,91450332,92036616,92513566,93061918,93417520,93515799,93879650,94276141,94489984,94773584,94838778,95037055,95149335,95251602,95332000,95558686,95632418,95679457,96094656,96523578,96576397,96635987,96680780,96738541,96779883,96800926,96955918,96981217,97014416,97571565,97884526,97961806,98131523,98656606,98887918,99042046,99563420,99657405,99681218,99764557,99920941,...,234017064040042964325406348129185870307532039447396505719375948056058817370821141316367383033411393709366172985177425247572610581074152760301261162153317000288270406959455908858422489348832402104760453373655541800083018761315454951415692953651557697823735002830511878438011726610693903136777352188275162382915896998821943830240525540302761532374950242883973726075914758526790427009081317993392247811923466994456313832076118831600303440689958437454998195969116585819649600859365858757664323374590477395080699317769128888156763733757779207705832236814870587422783492198216155430807505173121446002343176707348008384702729624983286274375436396487785607403335459764813435007674625420275314069337263994104684770619740422613578753557202615775306181568335760892172490262403081842060044197644557221949236333488570017470437294735484365641442192782538970962810158113119402327641382500186019301600690316284555880762945347768381215390641792949022410066402933585925893744668135710875431275813856037344942999292766313234049837578788678779612109696674433587150520186843284880810083712335205831706370209906266911027618839531393536222293904911806203465788921454692145580671821170321702743634203447940264530798660340783729650246015622819676970283312869688514805068790959165512581608978656058853135456746192909461198563203984892020271627906307166912176770181320753325506681708527491865424437912583873260964230286206006827360711822984493622773200158959294923785807960373702668271923045886815732759277896072879832483020540126550978099175120716577697199829440341815690227113555990108804739350237557919543299479940286365242077164622112659514797293699782313800379877055785235122191268151994231751290074218507272318688221646755944894433223849270287862794376971043123751656801361943237123891320540634308950219288229747900105824582114253617304805843288188701820996579189020787952142933105501225479765420377916463880972802224291468379135746499115885544930780821094805264110869845567996541342474820017802040125834447863249035339538083102106756124878567240049470101869779929510671413803272830543472432036456106480397436534642065955898069047456345980067413050866199280568952926504004549106298767275445312330528756127774141277683065211543417095674093269454408833596562630730469238441375064603063239079705112171023428474274412555826942986277706375921317492031228709598501040583517404846128290398382140424746362447797440464710876216869053621057766582229609869844054593127927977935378735589282449165442219265420602490406629224545583126949520942143155752062142218062348936265645694373719403423567149252513134470639739262700476275976009091644019587261938200954333936477312510071940666130500282744088501510620602860967766652850384081803839824358484275126362156003388027885149403984756484379121302315421676179758881644152262365769056998482191955793888555917568080564598085007499304623593693349670529132306304589364834728480408727006305059636581008928756652347795804670696155316694338242338889780181881223160068206839303129368334691114707188331267757975596673297289099311387238818230906705807794620388571626678261328159608849970855597412957137988467432619500279921836255825983546473261582852480748275809297543817583810900885029613441591031398822608751272290919905884045526112524863867392691592884466130787575365725492716522489859538830906055122310475091029798543754751657862995388208056666089463530922509886587637445315122688273878825064738514119732098413858988393566425786926447913881288767550851178694441794579921532194965241738236383479978551387443356711679883040039911328249385727518682933445105190742286126724694774317597014762396627527803958869193189645799665361953857697174369275247752003953704765534817083131951527025495390167932782378515286651762722484804217002663313621663863494882062004730330056797552771862034546024780580482}
23859 442647336295490137161302037234612377363034389665779652390923846160128402894983: {47714,1644477,2072949,2643909,2740565,3071877,3169789,3288678,4027777,4456397,4528270,4781589,4881665,5433924,5672254,5857998,5885269,5919477,6307265,6339046,6345789,6816238,7339677,7568718,7598261,7672294,7765269,8048877,8054878,8103220,9055780,9313229,9723864,9748509,9959686,10337446,10531534,10866936,10939347,10960420,11343556,11535172,11739809,11868189,11995265,12225303,12305117,12335134,12597077,12704645,12714549,13146469,13152504,13413665,13631332,13700877,14394318,14767780,14796567,15245574,15439061,15810477,16091349,16096398,16205080,16231749,16512477,16589297,17197318,17350424,17621620,17721336,17822596,18115909,18194829,18230715,18614877,18780670,19193278,19341028,19446096,19519227,19778645,19936503,20016641,20315806,20711877,21145944,21433889,21688629,21876858,22385589,22536804,22560577,22598165,23068408,23237175,23734374,23789187,24408709,24472869,24786320,25306269,25351928,25715909,25879870,25951959,26382917,26609518,26816645,26970477,27029149,27117798,27527115,27617254,27630040,27884610,27939669,27943157,28285121,28487524,28520919,28769469,29022580,29362256,29606206,29621765,29743584,29991157,30263029,30774148,30840189,31055844,31083795,31322116,31791877,32080029,32179974,32214104,32256574,32480932,32529315,32770375,32964829,33032538,33156048,33461532,33464206,33953475,34142109,34243174,34516865,34697936,34827096,34965429,35546118,35567014,35665261,35910004,35938289,36217040,36228766,36240867,36609477,36884869,37300554,37306145,37867669,38179438,38534727,38613070,38725375,39035178,39160069,39180483,39299428,39324450,39341877,39453220,40295949,40744170,40763297,40873595,40976709,41307046,41420238,41625124,41946080,42294580,42531195,42844510,43460448,43500646,43758349,43884958,43956277,44733157,44745880,44767374,44943397,45031492,45048669,45344477,45366608,45454677,45860469,45874675,46080820,46335684,46470450,46604261,47189340,47343864,47481477,48209656,48349249,48610109,48893004,48918820,49048314,49351597,49568480,50335296,50339115,50632375,50743732,50753496,50810020,51037434,51108915,51250389,51276238,51413412,51573949,51755380,52457829,52692670,53261709,53261847,53628577,53695056,53801638,54053734,54096670,54154894,54235863,54516176,54571966,55049610,55069528,55134069,55296984,55764540,56142040,56627208,57097683,57134949,57159029,57218231,57268149,57345694,57933789,58390850,58702584,58719584,58864677,58989694,59319526,59482176,59528877,59883316,59889934,59977246,60406938,60544407,60758850,60770776,60782465,60855477,60972024,61275521,61330698,61953219,62068061,62106456,62143780,62209107,62273869,62349118,63159795,63231204,63237309,63578398,63705609,63822046,63904510,64123366,64809440,64882145,64916004,65535250,65562484,65564165,65867069,66040407,66059532,66270886,66707038,66722177,66917448,67156516,67370448,67880452,67963741,68367123,68371269,68483077,68593527,69051157,69127517,69400789,69610529,69869763,70069020,71120589,71128036,71773629,72006509,72076675,72845597,72910620,72938958,73077909,73249894,73327669,73677070,73763494,74249709,74256869,74266852,74487064,74529277,74572536,74740288,75073894,75282129,75751265,75791754,75888995,76198389,76685412,76976349,77219620,77511315,77771328,77858574,78118078,78304414,78642300,78676998,79223717,79656766,79789438,80146501,80520077,80532039,80724309,81175349,81740330,81821806,81922420,82052597,82397877,82642421,82654989,82678736,82682494,82926886,83415500,83797947,83823598,83885120,83894103,83939109,84082824,84087646,84742180,84887614,84974308,85681780,85874008,86492010,86688277,86775172,86883477,86939686,87266589,87492744,87509326,88249395,88278757,88412484,88414629,88806046,88962670,89208065,89899271,90393109,90901518,90912629,91066794,91882145,92258144,92275375,92335246,92607477,92663544,93013578,93214174,93372454,93515249,93944149,94109284,94132688,94155077,94370760,94593177,94728661,94883469,95216645,95766477,95871475,95898989,95937880,96066214,96608259,96630814,96690334,97184024,97277469,97816957,98031669,98088396,98306904,98429337,98644510,98931949,99788109,99913389,...,351025596060064446488109522193778805461298059171094758579063922084088226056231711974551074550117090564049259477766137871358915871611229140451891743229975500432405610439183863287633734023248603157140680060483312700124528141973182427123539430477336546735602504245767817657017589916040854705166028282412743574373845498232915745360788310454142298562425364325960589113872137790185640513621976990088371717885200491684470748114178247400455161034937656182497293953674878729474401289048788136496485061885716092621048976653693332235145600636668811558748355222305881134175238297324233146211257759682169003514765061022012577054094437474929411563154594731678411105003189647220152511511938130412971104005895991157027155929610633920368130335803923662959272352503641338258735393604622763090066296466835832923854500232855026205655942103226548462163289173808456444215237169679103491462073750279028952401035474426833821144418021652571823085962689423533615099604400378888840617002203566313146913720784056017414498939149469851074756368183018169418164545011650380725780280264927321215125568502808747559555314859400366541428259297090304333440857367709305198683382182038218371007731755482554115451305171910396796197990511175594475369023434229515455424969304532772207603186438748268872413467984088279703185119289364191797844805977338030407441859460750368265155271981129988260022562791237798136656868875809891446345429309010241041067734476740434159800238438942385678711940560554002407884568830223599138916844109319748724530810189826467148762681074866545799744160512723535340670333985163207109025356336879314949219910429547863115746933168989272195940549673470700569815583677852683286902227991347626935111327760908478032332470133917341649835773905431794191565456564685627485202042914855685836980810951463425328932344621850158736873171380425957208764932283052731494868783531181928214399658251838219648130566874695821459203336437202568703619748673828317396171231642207896166304768351994812013712230026703060188751671794873553009307124653160134187317850860074205152804669894266007120704909245815208648054684159720596154801963098933847103571184518970101119576299298920853429389756006823659448150913167968495793134191661211916524597817315125643511139904181613250394843946095703857662062596904594858619557668256535142711411618833740414479416559563881976238046843064397751560875276107269192435597573210637119543671696160697066314325303580431586649873344414804766081889691891966903068103383923673748163328898130903735609943836818374690424281413214733628093213327093523404398468541560579105135350723878769701705959608894050714413964013637466029380892907301431500904715968765107910999195750424116132752265930904291451649979275576122705759736537726412689543234005082041827724105977134726568681953473132514269638322466228393548653585497723287933690832833876352120846897127511248956935390540024505793698459456884047252092720613090509457589454871513393134978521693707006044232975041507363508334670272821834740102310258954694052502036672060782496901636963395009945933648967080858227346360058711691930582857440017391992239413274956283396119435706982701148929250419882754383738975319709892374278721122413713946315726375716351327544420162386547098233913126908436379858826068289168787295801089037389326699196181363048588239074783734789308246359082683465712636544697815632127486794493082312084999134195296383764829881456167972684032410818237597107771179598147620788482590349638680389671870821933151326276768041662691869882298292447862607354575219967827081165035067519824560059866992374078591278024400167657786113429190087042161476395522143594941291705938303789784468699498042930786545761553912871628005930557148302225624697927290538243085251899173567772929977644083727206325503994970432495795242323093007095495085196329157793051819037170870723}
23860 444205873245751676793061749362329159367656342898085097194811208470452962028279: {71571,691099,976579,1119211,1404259,1477274,1689019,2192636,2541571,2683411,2763932,3525212,4095836,4097851,4384904,4520779,4609634,4661611,4933017,5364691,5505091,5925859,6065971,6375452,6593882,6792405,6905131,7245232,7323739,7810664,7892636,8150886,8461052,8508381,8571074,8786997,9407059,9508569,9786236,10091624,10129025,10224357,10353692,10373731,10731836,10786939,10822082,11319725,11353077,11474179,11508441,11748571,12082317,12154830,12159619,12965152,12998012,13063874,13116211,13252579,13583670,13700525,14179445,14418965,14489248,14585796,14939529,15181621,15289459,15506169,15797301,15824252,16234459,16300404,16409282,16440630,16952732,17015334,17039165,17175931,17302758,17536672,17578339,17846251,18267836,18381211,18459725,18502701,18915019,19192424,19314619,19713571,19728756,20184857,20256350,20327432,20377051,20446998,21080636,21455132,21461864,21591477,21642332,21688030,21830371,22016636,22027025,22151670,22182937,22278245,22488091,22763354,22868361,23628448,23928739,24144597,24176285,24259772,24307620,24819836,24840979,25230859,25502234,25691974,25795977,25928128,26025636,26138059,26396611,26432430,26582004,26733894,26783899,27556531,27615836,27685051,28171005,28187341,28194592,28226714,28789917,28835510,28918172,29011542,29094019,29169144,29312474,29731579,29847452,30049072,30360694,30473709,30666434,30982900,31645832,31689910,31713737,31718916,32011891,32016794,32515459,32630492,32815287,33393931,33632474,33741692,33769339,33805206,34537550,34602612,34642771,35264491,35601561,35609405,35636659,35884411,35960636,36157064,36278225,36313754,36702820,36995731,37179480,37252892,38027892,38182082,38359292,38467685,38819805,39152645,39444451,39658112,39695782,39914277,40173451,40267630,40601165,40658011,40676697,41120252,41407792,41425881,41445060,41826915,42183449,42344899,42704539,42731286,42773372,42906632,42953954,43302499,43372420,43533870,43660411,44043384,44208064,44409309,44493019,44615376,44887505,45271300,45440251,45522812,45584834,46161222,46436128,46583766,46620572,46983174,47394824,47701654,47904811,47940314,48185837,48269961,48321156,48384861,48486931,48721398,48812636,49067251,49124285,49316525,49530211,49548807,49734072,50192298,50196309,50337619,50682571,50803394,51364761,51370531,51379636,52031405,52046904,52240644,52283779,52432600,52455836,52625059,52868225,52965691,53174429,53319177,53350521,53727932,53865006,54209131,54325560,54343149,54635612,54759881,55107979,55226984,55890691,55932350,55950831,55964354,56289365,56708260,57269157,57334939,57601025,57903989,57919605,57947264,58107571,58267994,58552767,58949142,58986259,58986675,59179830,59642251,59689832,59751331,59797274,60064892,60262070,60404299,60606236,60729811,61116255,61147292,61148525,61486819,61780912,61810171,61917811,61960569,61960600,62130357,62437686,62776339,62919120,63125152,63308636,63429665,63441870,63512525,64161619,64266765,64694225,65176181,65190672,65250969,65397752,65534731,65827437,66478219,66614882,67113728,67118820,67151061,67547238,67671328,68049912,68145220,68333852,68551216,68836910,69121230,69503526,69705675,69859994,69943772,70177550,70357082,70397539,70600939,70702531,70784010,71015612,71015796,71108179,71593408,71714491,71815291,72314484,72343894,73339506,73378230,73399480,73512092,73572471,73729312,73915459,74066882,74212891,74352720,74854145,75139757,75296282,75502944,75963470,76115598,76130244,76179211,76179932,76215030,76357532,76556151,76914357,77120118,77245052,77248411,77255834,77538499,77633070,77679725,78020539,78212851,78270112,78320957,78486236,78596611,79039005,79309568,79371836,79550971,79740979,80542584,80662874,80702457,80725876,81011800,81080601,81140636,81145005,81232341,81296032,81531691,81774264,81857949,81872834,81953105,82114394,82366102,82574415,82604292,82808608,82945476,83646810,83848291,83940019,83945645,84213060,84308272,84316412,84607589,84850565,84940812,85036021,85488379,85578811,86018541,86479171,86554672,86837299,86915354,87392282,87586275,88053876,88079376,88106594,88484541,88910045,88979289,89223264,89311939,89465441,89747899,89824974,89827264,89834901,89965869,90095371,90355219,90610407,91138275,91156164,91161692,91302451,91458036,91996047,92002057,92600474,92833565,93108830,93159684,93215670,93425360,93506731,93523677,94590619,94827452,94846806,95367597,95498251,95698172,95733069,95856765,96185049,96315811,96524525,96883819,97082909,97214160,97251944,97374006,97437212,97970882,97991366,98009251,98302875,98343726,98434274,98999612,99089298,99406329,99430048,99670939,99905731,...,468034128080085928650812696258371740615064078894793011438751896112117634741642282632734766066822787418732345970354850495145221162148305520602522324306634000576540813918911817716844978697664804209520906747311083600166037522630909902831385907303115395647470005661023756876023453221387806273554704376550324765831793997643887660481051080605523064749900485767947452151829517053580854018162635986784495623846933988912627664152237663200606881379916874909996391938233171639299201718731717515328646749180954790161398635538257776313527467515558415411664473629741174845566984396432310861615010346242892004686353414696016769405459249966572548750872792975571214806670919529626870015349250840550628138674527988209369541239480845227157507114405231550612363136671521784344980524806163684120088395289114443898472666977140034940874589470968731282884385565077941925620316226238804655282765000372038603201380632569111761525890695536762430781283585898044820132805867171851787489336271421750862551627712074689885998585532626468099675157577357559224219393348867174301040373686569761620167424670411663412740419812533822055237679062787072444587809823612406931577842909384291161343642340643405487268406895880529061597320681567459300492031245639353940566625739377029610137581918331025163217957312117706270913492385818922397126407969784040543255812614333824353540362641506651013363417054983730848875825167746521928460572412013654721423645968987245546400317918589847571615920747405336543846091773631465518555792145759664966041080253101956198350241433155394399658880683631380454227111980217609478700475115839086598959880572730484154329244225319029594587399564627600759754111570470244382536303988463502580148437014544637376443293511889788866447698540575725588753942086247503313602723886474247782641081268617900438576459495800211649164228507234609611686576377403641993158378041575904285866211002450959530840755832927761945604448582936758271492998231771089861561642189610528221739691135993082684949640035604080251668895726498070679076166204213512249757134480098940203739559859021342827606545661086944864072912212960794873069284131911796138094912691960134826101732398561137905853008009098212597534550890624661057512255548282555366130423086834191348186538908817667193125261460938476882750129206126478159410224342046856948548825111653885972555412751842634984062457419197002081167034809692256580796764280849492724895594880929421752433738107242115533164459219739688109186255855955870757471178564898330884438530841204980813258449091166253899041884286311504124284436124697872531291388747438806847134298505026268941279478525400952551952018183288039174523876401908667872954625020143881332261000565488177003021241205721935533305700768163607679648716968550252724312006776055770298807969512968758242604630843352359517763288304524731538113996964383911587777111835136161129196170014998609247187386699341058264612609178729669456960817454012610119273162017857513304695591609341392310633388676484677779560363762446320136413678606258736669382229414376662535515951193346594578198622774477636461813411615589240777143253356522656319217699941711194825914275976934865239000559843672511651967092946523165704961496551618595087635167621801770059226883182062797645217502544581839811768091052225049727734785383185768932261575150731450985433044979719077661812110244620950182059597087509503315725990776416113332178927061845019773175274890630245376547757650129477028239464196827717976787132851573852895827762577535101702357388883589159843064389930483476472766959957102774886713423359766080079822656498771455037365866890210381484572253449389548635194029524793255055607917738386379291599330723907715394348738550495504007907409531069634166263903054050990780335865564757030573303525444969608434005326627243327726989764124009460660113595105543724069092049561160964}
23861 445769862159149830461547486855219260224787244494963249324774222606161476801027: {95428,2215911,2740795,3288954,3454915,3836791,4145898,4406515,4456771,4980679,5119795,5266651,5287818,5481130,6028231,6143754,6339578,6577356,6834331,6886003,6914451,7969315,8055554,8122279,8830171,8912794,8979763,9056540,9563178,9691891,9763330,9865795,9890823,10408903,10576315,10867848,11344508,11715996,11770538,11838954,12226329,12232795,12549451,12614530,12678092,12691578,12856611,12942115,13120963,13414795,13632476,14542411,14679354,15137436,15196522,15344588,15530538,15962419,16097754,16109756,16206440,16233123,16247515,16793371,17398531,17786503,18111560,18232245,18246163,18540979,18626458,18779131,19447728,19497018,19595811,19780315,19919372,20254651,20375505,20674892,21063068,21190915,21397099,21699271,21733872,21878694,21920840,22687112,22834795,23070344,23262019,23479618,23736378,23955523,23990530,24450606,24610234,24613923,24660945,24670268,25194154,25344451,25409290,25429098,25523001,25954137,26292938,26305008,26350795,26818915,26827330,26905351,27052915,27262664,27401754,27520795,27690103,27945511,28465459,28694011,28788636,29535560,29593134,29664883,30235819,30324715,30384525,30491148,30670497,30878122,31024795,31179811,31620954,31637431,32182698,32192796,32410160,32463498,32532045,33023731,33024954,33178594,33227505,33526771,34145031,34179079,34394636,34519795,34700848,35243240,35442672,35645192,36147715,36231818,36389658,36461430,37229754,37309315,37543303,37561340,38253351,38386556,38537961,38682056,38728625,38811511,38892192,39038454,39158803,39557290,39648645,39873006,40033282,40100841,40166323,40631612,40675603,40766731,40788115,41423754,41470471,41570491,42177115,42291888,42340071,42470791,42867778,43253265,43377258,43517313,43753716,43968711,44771178,44950795,45057331,45073608,45121154,45196330,45541041,45558979,45810571,45878525,45999651,46136816,46474350,46566115,46608199,47124979,47468748,47534865,47578374,47949115,48025191,48323611,48817418,48923899,48945738,49572640,50448711,50612538,50703856,50707809,51400315,51431818,51645691,51759740,51806325,51903918,52228603,52501303,52765834,52966171,53219036,53466715,53633290,53940954,54058298,54215525,54235596,54418123,54470631,55054230,55077763,55234508,55260080,55769220,55879338,55886314,56570242,56589125,56903515,56975048,57041838,57223033,57273123,57477859,57538938,57957031,58045160,58275715,58724512,58986631,59188651,59212412,59243530,59487168,59543673,59982314,60401445,60526058,61015795,61101031,61280683,61548296,61680378,62111688,62167590,62399131,62587459,62644232,63220603,63583754,64096929,64160058,64224545,64359948,64428208,64430931,64513148,64961864,65058630,65156839,65249491,65300805,65501419,65540750,65569795,65929658,66065076,66312096,66697411,66923064,66928412,67159915,67219003,67906950,68099851,68284218,68294515,68377251,68486348,69033730,69241833,69395872,69616411,69654192,69776179,69875649,69930858,70474761,70885325,71074771,71092236,71134028,71330522,71552481,71820008,71876578,71910471,72434080,72457532,72481734,72499591,72811051,72908611,73082097,73218954,73353163,73364071,73769738,74601108,74612290,74779303,75081115,75288447,75735338,75757795,75924211,76205091,76358876,76434115,76774051,76897099,77069454,77226140,77450750,77727163,77800003,78070356,78320138,78360966,78598856,78648900,78683754,78906440,79135795,79230391,80477863,80526919,80591898,80797509,81037891,81182203,81455371,81488340,81526594,81747190,81953418,82264951,82614092,82649383,82840476,83250248,83892160,83898525,83946531,84304291,84589160,84771571,85062390,85095451,85181525,85417315,85443859,85689020,86090251,86920896,87001292,87401991,87429715,87516698,87769916,87912554,88423713,88769515,88769745,89466314,89491760,89534748,89695911,89886794,90062984,90097338,90393105,90688954,90733216,90835003,90909354,90920311,91238851,91720938,91749350,91789831,91890115,92161640,92671368,92940900,93208522,93656529,94378680,94687728,94962954,95160091,95162805,95224915,95446915,96419312,96556315,96698498,96701491,96971251,97220218,97786008,97837640,98096628,98107795,98220379,98703194,99136960,99214795,99922323,...,702051192120128892976219044387557610922596118342189517158127844168176452112463423949102149100234181128098518955532275742717831743222458280903783486459951000864811220878367726575267468046497206314281360120966625400249056283946364854247078860954673093471205008491535635314035179832081709410332056564825487148747690996465831490721576620908284597124850728651921178227744275580371281027243953980176743435770400983368941496228356494800910322069875312364994587907349757458948802578097576272992970123771432185242097953307386664470291201273337623117496710444611762268350476594648466292422515519364338007029530122044025154108188874949858823126309189463356822210006379294440305023023876260825942208011791982314054311859221267840736260671607847325918544705007282676517470787209245526180132592933671665847709000465710052411311884206453096924326578347616912888430474339358206982924147500558057904802070948853667642288836043305143646171925378847067230199208800757777681234004407132626293827441568112034828997878298939702149512736366036338836329090023300761451560560529854642430251137005617495119110629718800733082856518594180608666881714735418610397366764364076436742015463510965108230902610343820793592395981022351188950738046868459030910849938609065544415206372877496537744826935968176559406370238578728383595689611954676060814883718921500736530310543962259976520045125582475596273313737751619782892690858618020482082135468953480868319600476877884771357423881121108004815769137660447198277833688218639497449061620379652934297525362149733091599488321025447070681340667970326414218050712673758629898439820859095726231493866337978544391881099346941401139631167355705366573804455982695253870222655521816956064664940267834683299671547810863588383130913129371254970404085829711371673961621902926850657864689243700317473746342760851914417529864566105462989737567062363856428799316503676439296261133749391642918406672874405137407239497347656634792342463284415792332609536703989624027424460053406120377503343589747106018614249306320268374635701720148410305609339788532014241409818491630417296109368319441192309603926197867694207142369037940202239152598597841706858779512013647318896301826335936991586268383322423833049195634630251287022279808363226500789687892191407715324125193809189717239115336513070285422823237667480828958833119127763952476093686128795503121750552214538384871195146421274239087343392321394132628650607160863173299746688829609532163779383783933806136206767847347496326657796261807471219887673636749380848562826429467256186426654187046808796937083121158210270701447757539403411919217788101428827928027274932058761785814602863001809431937530215821998391500848232265504531861808582903299958551152245411519473075452825379086468010164083655448211954269453137363906946265028539276644932456787097307170995446575867381665667752704241693794255022497913870781080049011587396918913768094504185441226181018915178909743026786269957043387414012088465950083014727016669340545643669480204620517909388105004073344121564993803273926790019891867297934161716454692720117423383861165714880034783984478826549912566792238871413965402297858500839765508767477950639419784748557442244827427892631452751432702655088840324773094196467826253816872759717652136578337574591602178074778653398392362726097176478149567469578616492718165366931425273089395631264254973588986164624169998268390592767529659762912335945368064821636475194215542359196295241576965180699277360779343741643866302652553536083325383739764596584895725214709150439935654162330070135039649120119733984748157182556048800335315572226858380174084322952791044287189882583411876607579568937398996085861573091523107825743256011861114296604451249395854581076486170503798347135545859955288167454412651007989940864991590484646186014190990170392658315586103638074341741446}
23862 447339321983656811579746002686731879427026936539344059624703717127030896567080: {119285,143142,691157,738761,1024217,1382198,1451861,1736597,1953158,2115797,2238422,2399861,2589077,2808518,2954548,3378038,4098197,4385272,4521161,4568117,4708937,4933431,5083142,5366822,5411957,5505557,5527864,5645897,6206537,6218847,6346517,6626261,7050424,7370837,7788761,7931727,8191672,8195702,8221695,8298677,8769808,9041558,9130997,9215631,9219268,9323222,9509367,9866034,10098761,10729382,10833737,11010182,11320675,11475161,11851718,12083331,12131942,12206297,12616661,12750904,13187764,13253717,13299161,13369191,13584810,13798517,13810262,14180635,14344767,14490464,14644995,14647478,15155477,15290777,15335861,15606197,15621328,15785272,15847615,16301772,16639817,16922104,17016762,17040595,17142148,17573994,17655807,17758431,18649877,18814118,18916661,18921795,18961097,19017138,19037367,19180735,19572472,19759577,19851223,20137195,20183248,20186551,20258050,20448714,20707384,20747462,21084617,21463672,21568661,21573878,21644164,22019031,22639450,22665161,22706154,22794783,22948358,23016882,23058677,23295807,23497142,23854831,23974361,24146631,24164634,24309660,24319238,24886517,24899215,25535897,25843615,25930304,25996024,26127748,26183477,26232422,26328835,26398937,26505158,26571161,27044117,27167340,27401050,27687497,27939687,28243637,28358890,28837930,28978496,29096597,29139161,29171592,29245527,29734217,29776661,29879058,30363242,30578918,30623861,30837835,31012338,31046261,31189543,31594602,31636277,31648504,32056757,32468918,32560277,32600808,32818041,32818564,32881260,32937161,33146261,33396917,33846799,33905464,34030668,34078330,34351862,34605516,34770377,35019161,35073344,35156678,35184857,35219427,35267657,35604567,35692502,35985795,36535672,36675909,36762422,36915351,36919450,37005402,37040117,37479871,37791231,37830038,37859477,38113935,38143647,38349557,38384848,38629238,38757077,39366857,39427142,39439407,39457512,39488597,39934361,40177097,40240995,40338761,40369714,40512700,40654864,40754102,40893996,41102631,41145161,41747861,42161272,42388757,42748361,42910264,42923728,42993295,43182954,43284664,43376060,43660742,43704137,43783577,43942361,44033272,44054050,44303340,44365874,44389701,44556490,44971337,44976182,45483797,45526708,45736722,45916361,46317183,46895861,46951675,47247257,47256896,47431431,47857478,47909237,47983195,48274047,48289194,48352570,48519544,48615240,48646361,48695247,49071797,49457717,49537431,49639672,49681958,49767891,49853167,50227157,50342297,50380661,50461718,50789515,50955161,51004468,51146261,51383948,51591954,51856256,52051272,52276118,52793222,52864860,53164008,53467788,53567798,53800661,53854759,54139097,54214217,54326837,54347727,54584487,54692145,54813703,54888857,55113062,55150517,55231672,55370102,55844631,56342010,56374682,56389184,56453428,56601161,56823257,56841631,57008117,57118937,57377237,57487817,57579834,57671020,57836344,57892661,58023084,58188038,58338288,58557681,58624948,58991861,59028377,59335935,59463158,59694904,59757017,59809509,59902361,60049923,60083861,60098144,60410057,60721388,60843977,60947418,61332868,61923737,61965800,62135631,62842507,63291664,63379820,63427474,63437832,64023782,64033588,64167797,64301667,64521077,64697417,64699675,64716223,65030918,65065887,65260984,65576117,65630574,65786261,66484661,66523795,66787862,67006361,67156767,67264948,67483384,67538678,67610412,67681731,67794495,67837337,68078837,68182217,68354357,68431987,68773999,69043135,69075100,69205224,69285542,69711525,70528982,70641737,70743317,71203122,71218810,71273318,71367561,71755157,71768822,71921272,71923097,72314128,72556450,72627508,72826517,72843967,73159637,73226127,73405640,73418607,73458761,73657817,73991462,74015515,74358960,74505784,74615861,74911817,75141557,75239897,75599861,75918807,76055784,76364164,76718584,76771157,76935370,77062361,77147727,77639610,77674997,77855877,78305290,78540617,78805111,78888902,79148751,79316224,79391564,79463861,79749017,79780661,79828554,80222837,80346902,80449935,80535260,80641435,80911431,81008537,81087447,81196361,81202330,81316022,81353394,81851477,82240504,82581345,82595861,82815584,82851762,82890120,83397077,83489177,83653830,83660515,83819007,83829471,84366898,84689798,84855363,85225397,85409078,85462572,85497161,85546744,85562757,85607935,85813264,85907908,85948661,86248661,86308407,86604998,86744840,86846261,86876057,87067740,87320822,88031861,88086768,88416128,88649177,88801531,88818618,88865295,88917535,88986038,89230752,89233817,89321237,89350361,89757257,89775010,89973471,90364661,90393497,90542600,90571915,90789087,90880502,91045624,91169668,91254857,91340597,91397717,91938761,92322444,92363861,92520567,92561131,92758997,92872256,92955977,93167532,93241144,93251385,93516617,93628361,93966348,94212917,94351577,94561423,94628297,94789648,95124377,95375631,95403308,95448595,95809622,95863637,95880628,95945417,96240087,96371674,96532675,96539922,96642312,96651161,96769722,96973862,97442796,97587945,97625272,98099657,98134502,98248570,98311125,98497877,98633050,98683097,98894487,99060422,99097614,99446261,99468144,99942617,99990787,...,1053076788180193339464328566581336416383894177513284275737191766252264678168695135923653223650351271692147778433298413614076747614833687421355675229689926501297216831317551589862901202069745809471422040181449938100373584425919547281370618291432009640206807512737303452971052769748122564115498084847238230723121536494698747236082364931362426895687276092977881767341616413370556921540865930970265115153655601475053412244342534742201365483104812968547491881861024636188423203867146364409489455185657148277863146929961079996705436801910006434676245065666917643402525714891972699438633773279046507010544295183066037731162283312424788234689463784195035233315009568941660457534535814391238913312017687973471081467788831901761104391007411770988877817057510924014776206180813868289270198889400507498771563500698565078616967826309679645386489867521425369332645711509037310474386221250837086857203106423280501463433254064957715469257888068270600845298813201136666521851006610698939440741162352168052243496817448409553224269104549054508254493635034951142177340840794781963645376705508426242678665944578201099624284777891270913000322572103127915596050146546114655113023195266447662346353915515731190388593971533526783426107070302688546366274907913598316622809559316244806617240403952264839109555357868092575393534417932014091222325578382251104795465815943389964780067688373713394409970606627429674339036287927030723123203203430221302479400715316827157036135821681662007223653706490670797416750532327959246173592430569479401446288043224599637399232481538170606022011001955489621327076069010637944847659731288643589347240799506967816587821649020412101709446751033558049860706683974042880805333983282725434096997410401752024949507321716295382574696369694056882455606128744567057510942432854390275986797033865550476210619514141277871626294796849158194484606350593545784643198974755514658944391700624087464377610009311607706110859246021484952188513694926623688498914305055984436041136690080109180566255015384620659027921373959480402561953552580222615458414009682798021362114727737445625944164052479161788464405889296801541310713553556910303358728897896762560288169268020470978344452739503905487379402574983635749573793451945376930533419712544839751184531838287111572986187790713784575858673004769605428134234856501221243438249678691645928714140529193193254682625828321807577306792719631911358631015088482091198942975910741294759949620033244414298245669075675900709204310151771021244489986694392711206829831510455124071272844239644200884279639981280570213195405624681737315406052171636309105117878826682152143241892040912398088142678721904294502714147906295323732997587251272348398256797792712874354949937826728368117279209613179238068629702015246125483172317931404179706045860419397542808914967398685180645960756493169863801072498501629056362540691382533746870806171620073517381095378370652141756278161839271528372768364614540179404935565081121018132698925124522090525004010818465504220306930776864082157506110016182347490704910890185029837800946901242574682039080176135075791748572320052175976718239824868850188358307120948103446787751259648263151216925959129677122836163367241141838947179127149053982633260487159641294701739380725309139576478204867506361887403267112167980097588544089145764717224351204367924739077248050397137909634093446896382460383479246936254997402585889151294489644368503918052097232454712791323313538794442862365447771048916041169015612465799453978830304124988075609646894877343587822063725659903481243495105202559473680179600977122235773834073200502973358340287570261126484429186566430784823875117814911369353406098494128792359637284661738614884017791671444906676874093781871614729255755697520703318789932932251181618976511984911297487385726969279021286485255588987473379155457111512612169}
23863 448914271732669896392023199533061082563062966659393948852896350387586467167949: {190856,214713,2073297,2929737,3357633,3693185,3837113,4212777,4431822,4836881,4981097,5067057,5267093,5481590,5886257,6169121,6577908,6909830,7124273,7167713,7624713,7673582,7696121,8050233,8291796,8813030,8913542,9599057,9961358,10239590,10533302,10575636,10962260,11157041,11454053,11524085,12056462,12287508,12293553,12679156,13154712,13562337,13668662,13772006,13812113,13828902,13984833,14025857,14799051,14806841,15938630,16094073,16111108,16244558,16484705,16515273,17125913,17660342,17777577,17825588,17959526,18113080,18118961,18197913,18780713,18864677,19126356,19383782,19445417,19526660,19731590,19781646,20377215,20658737,20715393,20817806,21152630,21427685,21735696,21971217,22689016,22746521,22872761,23431992,23541076,23677908,24452658,24465590,25098902,25229060,25356184,25383156,25525143,25644593,25713222,25884230,26241926,26360991,26829590,27055205,27264952,27491477,27692441,28221177,28467857,28525707,29084822,29358708,29502293,29667281,29952533,30274872,30387075,30393044,30673071,30689176,31061076,31121193,31710737,31797233,31919081,31924838,31968713,32069777,32195508,32219512,32360817,32412880,32466246,32495030,32567141,32659685,33026513,33586742,33640997,33959175,34059231,34422537,34525323,34797062,35245713,35573006,36223120,36246951,36464490,36478857,36492326,36634193,36891113,37081958,37252916,37471097,37546481,37558262,37874081,38529113,38895456,38994036,39191622,39348633,39560630,39757737,39838744,39904793,40393457,40509302,40751010,41023205,41101575,41349784,41573993,42054437,42126136,42381830,42454601,42474377,42538335,42794198,43173737,43256895,43398542,43434713,43467744,43480817,43757388,43765721,43841680,44818587,45374224,45544863,45562817,45669590,45868377,46140688,46179281,46461137,46518507,46524038,46618853,46959236,47128961,47391903,47472756,47911046,47981060,48045233,48327713,48703377,48901212,49220468,49227846,49321890,49340536,50192753,50302037,50388308,50606801,50640875,50688902,50818580,50858196,51046002,51117495,51209321,51527793,51883361,51908274,52233041,52297961,52585876,52610016,52701590,52735017,52970633,53249573,53538753,53637830,53654660,53810702,54105830,54164993,54220075,54525328,54803508,55041590,55082417,55143633,55379175,55380206,55508103,55693157,55891022,56745057,56908385,56930918,57103361,57388022,57577272,57943857,57961937,58171097,59047961,59071120,59140713,59186268,59329766,59426261,59506337,60281657,60471638,60554571,60649430,60769050,60982296,61131153,61340994,61756244,62049590,62359622,62931113,63225941,63241908,63274862,63755585,64156853,64229935,64365396,64385592,64774431,64820320,64926996,65064090,65192561,65491113,65506937,66047462,66049908,66081075,66357188,66455010,66548811,66834735,67053542,67128761,67464273,68290062,68358158,68432393,68494673,68605083,68789272,69039590,69401696,69412481,69711473,70294961,70486480,70566785,70658321,70885344,71290384,71786217,71960441,72088775,72295430,72433791,72463636,72528855,72779316,72914753,72922860,73281185,73966997,74459508,74522937,74541833,74618630,74853401,75086606,75122680,75127121,75692577,75901735,76506702,76666085,76773112,76903577,77003537,77075922,77364112,77387931,77457250,77623022,77784384,77806577,78076908,78317606,78414177,78824213,79114580,79189833,79224775,79297290,79664921,79746012,80041985,80066564,80201682,80332646,80351697,80648177,81044777,81263224,81351206,81377057,81462233,81533462,81576230,81586001,82271897,82462757,82669593,82847508,82940942,83055153,83087657,83140982,84081185,84311393,84354230,84513015,84562023,84583776,84680142,84941582,85422113,85451057,85735556,86343875,86369751,86506530,86702993,86754516,87034626,87282057,87507432,87937422,88340261,88765073,89194737,89542356,89554793,89728613,89901590,89914363,90114662,90147216,90242308,90392660,90784385,91082082,91117958,91421127,91621142,91757050,91797713,91999302,92273632,92948700,93132230,93216398,93903521,94023881,94249958,94744697,94937496,95069730,95141211,95156748,95168177,95455205,95612321,95772053,95898230,96035673,96050382,96647222,97546377,97634836,97847798,97858937,97891476,98445861,99145280,99239455,...,1404102384240257785952438088775115221845192236684379034316255688336352904224926847898204298200468362256197037911064551485435663486444916561807566972919902001729622441756735453150534936092994412628562720241933250800498112567892729708494157721909346186942410016983071270628070359664163418820664113129650974297495381992931662981443153241816569194249701457303842356455488551160742562054487907960353486871540801966737882992456712989601820644139750624729989175814699514917897605156195152545985940247542864370484195906614773328940582402546675246234993420889223524536700953189296932584845031038728676014059060244088050308216377749899717646252618378926713644420012758588880610046047752521651884416023583964628108623718442535681472521343215694651837089410014565353034941574418491052360265185867343331695418000931420104822623768412906193848653156695233825776860948678716413965848295001116115809604141897707335284577672086610287292343850757694134460398417601515555362468008814265252587654883136224069657995756597879404299025472732072677672658180046601522903121121059709284860502274011234990238221259437601466165713037188361217333763429470837220794733528728152873484030927021930216461805220687641587184791962044702377901476093736918061821699877218131088830412745754993075489653871936353118812740477157456767191379223909352121629767437843001473060621087924519953040090251164951192546627475503239565785381717236040964164270937906961736639200953755769542714847762242216009631538275320894396555667376437278994898123240759305868595050724299466183198976642050894141362681335940652828436101425347517259796879641718191452462987732675957088783762198693882802279262334711410733147608911965390507740445311043633912129329880535669366599343095621727176766261826258742509940808171659422743347923243805853701315729378487400634947492685521703828835059729132210925979475134124727712857598633007352878592522267498783285836813345748810274814478994695313269584684926568831584665219073407979248054848920106812240755006687179494212037228498612640536749271403440296820611218679577064028482819636983260834592218736638882384619207852395735388414284738075880404478305197195683413717559024027294637792603652671873983172536766644847666098391269260502574044559616726453001579375784382815430648250387618379434478230673026140570845646475334961657917666238255527904952187372257591006243501104429076769742390292842548478174686784642788265257301214321726346599493377659219064327558767567867612272413535694694992653315592523614942439775347273498761697125652858934512372853308374093617593874166242316420541402895515078806823838435576202857655856054549864117523571629205726003618863875060431643996783001696464531009063723617165806599917102304490823038946150905650758172936020328167310896423908538906274727813892530057078553289864913574194614341990893151734763331335505408483387588510044995827741562160098023174793837827536189008370882452362037830357819486053572539914086774828024176931900166029454033338681091287338960409241035818776210008146688243129987606547853580039783734595868323432909385440234846767722331429760069567968957653099825133584477742827930804595717001679531017534955901278839569497114884489654855785262905502865405310177680649546188392935652507633745519435304273156675149183204356149557306796784725452194352956299134939157232985436330733862850546178791262528509947177972329248339996536781185535059319525824671890736129643272950388431084718392590483153930361398554721558687483287732605305107072166650767479529193169791450429418300879871308324660140270079298240239467969496314365112097600670631144453716760348168645905582088574379765166823753215159137874797992171723146183046215651486512023722228593208902498791709162152972341007596694271091719910576334908825302015979881729983180969292372028381980340785316631172207276148683482892}
23864 450494730485235861151087142537834604538857203344443676885271350393335222976943: {166999,238570,286284,738823,881599,1382314,1477522,2048434,2305399,2447383,2764396,2903722,3473194,3906316,4231594,4476844,4568503,4799722,5178154,5617036,5693143,5909096,6393703,6647733,6673423,6756076,7231999,8196394,8222385,8623399,8770544,9042322,9136234,9417874,9866862,10145623,10166284,10364745,10733644,10823914,11011114,11055728,11291794,11510373,12413074,12437694,12693034,13219545,13252522,13300303,13370313,13702825,14100848,14252863,14741674,14942037,15337183,15359385,15577522,15799953,15848945,15863454,16012543,16383344,16391404,16443390,16597354,16955023,17539616,18083116,18084693,18261994,18431262,18438536,18646444,18695983,18962743,19018734,19628383,19732068,19852889,20138885,20197522,20502993,20658009,20743353,21458764,21667474,22020364,22186661,22281985,22641350,22950322,23703436,23856833,23907945,24166662,24263884,24366837,24408325,24412594,24758599,25233322,25501808,25538143,26375528,26490513,26507434,26598322,26738382,26853029,26939289,27169620,27475663,27597034,27620524,28192073,28361270,28689534,28980928,29075673,29141743,29269399,29289990,29294956,29426345,29597385,29672469,29779303,30310954,30581554,30671722,31049023,31212394,31226709,31242656,31536325,31570544,31695230,31719061,31728945,31933543,32603544,33191023,33279634,33844208,34033524,34081190,34284296,34858901,35147988,35311614,35516862,36181061,36678987,36698385,36860369,37299754,37535503,37628236,37648353,37833322,37843590,37922194,37991305,38034276,38074734,38361470,38516143,38569833,38760583,38826345,39144944,39362889,39519154,39702446,39735463,40244385,40274390,40366496,40373102,40516100,40897428,40947583,41068399,41189143,41414768,41494924,42169234,42927344,43137322,43147756,43172969,43288328,43588903,43627233,44038062,44294393,45278900,45330322,45412308,45589566,45896716,45959863,46033764,46117354,46430599,46566145,46591614,46994284,47709662,47719183,47887257,47948722,48293262,48329268,48619320,48638476,48650863,48699369,48742545,49346599,49773034,49798430,50380113,50385343,50500399,50959903,51071794,51074599,51189223,51687230,51860608,51992048,52195593,52255496,52366954,52464844,52657670,52786399,52797874,52899943,53010316,53142322,53359509,54088234,54334680,54369463,54696735,54738489,54802100,55374994,55603399,55622937,55879374,56337393,56487274,56606503,56717599,56717780,57271999,57675860,57956992,58193194,58278322,58343184,58491054,58699045,58787433,58924399,59033983,59340945,59468434,59553322,59580823,59758116,59908063,59976325,60190613,60726484,60763953,61102399,61126515,61157836,61247722,61525585,61675670,62024676,62092522,62379086,62985385,63189204,63272554,63297008,63523225,63572745,64113514,64191297,64738903,64937836,65097813,65120554,65201616,65636082,65637128,65732345,65762520,65874322,66288277,66292522,66793834,67047583,67068325,67176473,67359703,67693598,67810928,67878463,68061336,68085463,68156660,68395423,68504385,68601703,68703724,69211032,69540754,69786057,70038322,70139623,70146688,70313356,70369714,70438854,70535314,70546999,71105321,71209134,71385004,71459383,71560399,71866569,71963743,71971590,73071344,73351818,73466023,73524844,73830702,73838900,73841769,73982835,74010804,74080234,74458543,74959742,75582462,75660076,75718954,75720601,76033353,76129303,76227870,76287294,76482809,76569003,76699114,76769696,77102383,77195305,77258476,77514154,77862411,78733714,78854284,78878814,78915024,78977194,79052385,79503583,79788703,79868722,80262463,80354194,80456745,80481990,80677522,80716053,80739428,81025400,81158745,81204583,81309728,81508204,81787992,82205262,82232599,82290322,82562385,82946485,83070309,83495722,83528383,83559817,83836533,84322544,84777514,84991999,85082863,85396377,85496722,85820528,85847456,85986590,85987543,86082033,86257543,86347399,86365908,86569328,86752120,86885023,87321484,87408274,87567154,87884722,88066544,88108100,88482343,88570399,88606680,88731748,88779402,88994649,89112980,89359663,89446999,89942674,89952364,90402943,90579545,90707457,90967594,90974145,91053416,91153575,91264423,91473444,91692463,91832722,92011491,92634366,93074385,93133313,93539433,93638263,93791722,93903350,94494514,94513792,94862862,94912293,95381599,95714956,95791999,95818474,95966390,96548094,96578388,96660389,96705140,97039088,97230480,97292722,97390494,97415599,97596135,98136823,98143594,98693743,98893225,98915434,99010399,99071193,99074862,99279344,99363916,99535782,99682515,99706334,99796999,99875263,...,2106153576360386678928657133162672832767788355026568551474383532504529356337390271847306447300702543384295556866596827228153495229667374842711350459379853002594433662635103179725802404139491618942844080362899876200747168851839094562741236582864019280413615025474606905942105539496245128230996169694476461446243072989397494472164729862724853791374552185955763534683232826741113843081731861940530230307311202950106824488685069484402730966209625937094983763722049272376846407734292728818978910371314296555726293859922159993410873603820012869352490131333835286805051429783945398877267546558093014021088590366132075462324566624849576469378927568390070466630019137883320915069071628782477826624035375946942162935577663803522208782014823541977755634115021848029552412361627736578540397778801014997543127001397130157233935652619359290772979735042850738665291423018074620948772442501674173714406212846561002926866508129915430938515776136541201690597626402273333043702013221397878881482324704336104486993634896819106448538209098109016508987270069902284354681681589563927290753411016852485357331889156402199248569555782541826000645144206255831192100293092229310226046390532895324692707831031462380777187943067053566852214140605377092732549815827196633245619118632489613234480807904529678219110715736185150787068835864028182444651156764502209590931631886779929560135376747426788819941213254859348678072575854061446246406406860442604958801430633654314072271643363324014447307412981341594833501064655918492347184861138958802892576086449199274798464963076341212044022003910979242654152138021275889695319462577287178694481599013935633175643298040824203418893502067116099721413367948085761610667966565450868193994820803504049899014643432590765149392739388113764911212257489134115021884865708780551973594067731100952421239028282555743252589593698316388969212701187091569286397949511029317888783401248174928755220018623215412221718492042969904377027389853247376997828610111968872082273380160218361132510030769241318055842747918960805123907105160445230916828019365596042724229455474891251888328104958323576928811778593603082621427107113820606717457795793525120576338536040941956688905479007810974758805149967271499147586903890753861066839425089679502369063676574223145972375581427569151717346009539210856268469713002442486876499357383291857428281058386386509365251656643615154613585439263822717262030176964182397885951821482589519899240066488828596491338151351801418408620303542042488979973388785422413659663020910248142545688479288401768559279962561140426390811249363474630812104343272618210235757653364304286483784081824796176285357443808589005428295812590647465995174502544696796513595585425748709899875653456736234558419226358476137259404030492250966344635862808359412091720838795085617829934797370361291921512986339727602144997003258112725081382765067493741612343240147034762190756741304283512556323678543056745536729229080358809871130162242036265397850249044181050008021636931008440613861553728164315012220032364694981409821780370059675601893802485149364078160352270151583497144640104351953436479649737700376716614241896206893575502519296526302433851918259354245672326734482283677894358254298107965266520974319282589403478761450618279152956409735012723774806534224335960195177088178291529434448702408735849478154496100794275819268186893792764920766958493872509994805171778302588979288737007836104194464909425582646627077588885724730895542097832082338031224931598907957660608249976151219293789754687175644127451319806962486990210405118947360359201954244471547668146401005946716680575140522252968858373132861569647750235629822738706812196988257584719274569323477229768035583342889813353748187563743229458511511395041406637579865864502363237953023969822594974771453938558042572970511177974946758310914223025224338}
23865 452080717386276184208661103632323993037360826638784953359564498651535464665953: {357855,381712,429426,2073471,2216283,3072651,3455495,4146594,4355583,4882895,5170459,5209791,5596055,5859474,5886751,6029243,6347391,6715266,6887159,7021295,7199583,7386370,7674226,7767231,8425554,8445095,8601547,8863644,9673762,9962194,10134114,10534186,10739663,10963180,11742767,11772514,12294591,12338242,12600251,12707855,13155816,13417055,13563483,13704351,13819660,13875983,14126811,14248546,14335426,14800293,15249426,15347164,15392242,15883271,16100466,16133719,16235871,16516671,16583592,16937691,17626060,17827084,18619611,18656541,19016999,19039551,19198114,19878783,19922716,20479180,20489255,21066604,21151272,21924520,22112511,22314082,22444343,22603895,22908106,23048170,23078587,23308055,23366283,23795181,23860367,24112924,24414871,24575016,24587106,24665085,24896031,25358312,26309424,26389583,26823455,27124674,27337324,27392991,27525455,27544012,27624226,27646893,27657804,27950219,27969666,28051714,28528101,28998791,29510063,29598102,29613682,29629295,29998759,30296283,30329855,31877260,32188146,32222216,32424407,32489116,32501211,32969410,32973151,33030546,33643831,33962025,34251826,34425483,34525655,35320684,35555154,35651176,35674267,35919052,36226160,36237922,36249993,36395826,36618695,36618891,37561426,37729354,37849983,37877287,38252712,38767564,38890834,39053320,39463180,39563292,39761151,39897483,40107573,40754430,40773599,41317474,41395551,41430786,41635612,42305260,42541905,42855370,43034301,43184879,43471392,43513019,43934985,43942434,44954743,45378032,45466431,45493042,45723559,45745522,45872331,46007583,46465051,46818591,46863984,47035295,47082152,47355816,47542845,48622391,48905316,48931180,49364059,49715963,49919451,50196991,50197804,50458120,50645125,50712368,50766312,51050286,51121785,51289186,51426444,51768460,51868655,52483852,52721982,52967421,53275293,53642119,53659180,53771143,53934695,54110410,54529904,54982954,55150343,55384882,55697863,55949631,56442354,56598625,56749983,56765385,56883291,56935714,57051414,57112101,57173471,57233947,57370895,57432487,57542205,58169644,58717416,58742855,58903519,58996619,59004586,59278731,59334562,59553669,59905066,60411585,60549744,60559653,60774150,60786088,60798095,61291007,61346142,61378352,62122152,62242386,62325103,63253851,63421474,63594466,63838162,63849676,63937426,64139554,64391016,64439024,64705983,64721634,64825760,64932492,64990060,65134282,65167883,65319370,65581055,66053026,66057093,66262895,67173484,67281994,67918350,67995483,68118462,68384349,68500471,68502625,68845074,69050646,69144983,69176031,69594124,69887421,70325671,70491426,70664287,70897225,71146012,71564493,71923083,72024767,72094825,72439893,72446240,72493902,72928980,72957714,72984652,73268386,73782226,74163916,74275631,74505832,74659551,74697645,74942194,75092962,75116524,75748162,75908105,75937103,76447295,76607691,77058226,77530845,77790912,77988072,78383244,78550431,78697266,78986505,79121260,79196811,79243739,79515474,79671739,79677488,79713483,79809586,80654971,80786914,80790623,81018604,81132351,81172295,81502020,82046410,82073519,82203150,82663307,82699568,83062491,83075863,83147986,83819061,84108874,84252272,84730911,84763660,84909202,84948754,85076670,85195825,85588396,85879655,86347474,86513790,86797084,86869426,86935488,86961634,87289791,87417483,87514776,87531442,87683360,87736581,87891695,88347703,89202651,89231255,89257819,89329983,89337383,89637174,89921909,90748448,91089726,91125634,91339180,91736754,91871583,91906055,92281376,92298625,92358562,92513505,92922274,93037014,93048076,93138783,93237706,93568629,93918472,94178951,94257922,94575095,94783806,94908831,94945512,95658727,95780191,95822092,95923367,95962120,96090466,96170271,96573095,96655426,97406754,97420571,97680831,97802424,98440936,98454123,98455692,98567855,98643780,98681072,98793499,98811483,99438783,...,3159230364540580018392985699744009249151682532539852827211575298756794034506085407770959670951053815076443335299895240842230242844501062264067025689069779503891650493952654769588703606209237428414266120544349814301120753277758641844111854874296028920620422538211910358913158309244367692346494254541714692169364609484096241708247094794087280687061828278933645302024849240111670764622597792910795345460966804425160236733027604226604096449314438905642475645583073908565269611601439093228468365556971444833589440789883239990116310405730019304028735197000752930207577144675918098315901319837139521031632885549198113193486849937274364704068391352585105699945028706824981372603607443173716739936053063920413244403366495705283313173022235312966633451172532772044328618542441604867810596668201522496314690502095695235850903478929038936159469602564276107997937134527111931423158663752511260571609319269841504390299762194873146407773664204811802535896439603409999565553019832096818322223487056504156730490452345228659672807313647163524763480905104853426532022522384345890936130116525278728035997833734603298872854333673812739000967716309383746788150439638343965339069585799342987039061746547193571165781914600580350278321210908065639098824723740794949868428677948734419851721211856794517328666073604277726180603253796042273666976735146753314386397447830169894340203065121140183229911819882289023017108863781092169369609610290663907438202145950481471108407465044986021670961119472012392250251596983877738520777291708438204338864129673798912197697444614511818066033005866468863981228207031913834542979193865930768041722398520903449763464947061236305128340253100674149582120051922128642416001949848176302290992231205256074848521965148886147724089109082170647366818386233701172532827298563170827960391101596651428631858542423833614878884390547474583453819051780637353929596924266543976833175101872262393132830027934823118332577738064454856565541084779871065496742915167953308123410070240327541698765046153861977083764121878441207685860657740667846375242029048394064086344183212336877832492157437485365393217667890404623932140660670730910076186693690287680864507804061412935033358218511716462138207724950907248721380355836130791600259137634519253553595514861334718958563372141353727576019014308816284402704569503663730314749036074937786142421587579579764047877484965422731920378158895734075893045265446273596828927732223884279848860099733242894737007227027702127612930455313063733469960083178133620489494531365372213818532718932602652838919943841710639586216874045211946218156514908927315353636480046456429725676122737194264428036165712883508142443718885971198992761753817045194770393378138623064849813480185104351837628839537714205889106045738376449516953794212539118137581258192628426744902196055541937882269479509591403217495504887169087622074147601240612418514860220552143286135111956425268834485517814585118305093843620538214806695243363054398096775373566271575012032455396512660920792330592246472518330048547042472114732670555089513402840703727724046117240528405227375245716960156527930154719474606550565074921362844310340363253778944789453650777877389031368508490101723425516841537381447161947899781461478923884105218142175927418729434614602519085662209801336503940292765632267437294151673053613103774217231744151191413728902280340689147381150437740808764992207757667453883468933105511754156291697364138373969940616383328587096343313146748123507046837397398361936490912374964226828940684632030763466191176979710443730485315607678421040538802931366707321502219601508920075020862710783379453287559699292354471625353444734108060218295482386377078911853985215844652053375014334720030622281345614844187767267092562109956369798796753544856929535954733892462157180907837063859455766766962420137466371334537836507}
23866 453672251646813015609837934917328272333132590155034075558155591128267714985099: {333998,477140,572568,644139,1119493,1262089,1477646,1763198,2684089,2764628,2955044,4096868,4239973,4610798,4662793,4894766,5506489,5528792,5646853,5807444,6067513,6207589,6219891,6946388,7465033,7812632,8463188,8789211,8953688,9137006,9599444,9824293,10072899,10356308,10514233,10927333,11079555,11234072,11386286,11511339,11818192,11888713,12638331,12787406,13255993,13295466,13346846,13512152,13664773,13703975,14463998,14510643,14943291,15201171,15698953,15801279,16392788,16444770,17246798,17274575,17541088,17658771,18084644,18272468,18507363,18653113,18835748,19053253,19183955,19319653,19733724,19851589,20291246,20332568,20729490,21308473,21372819,21467288,21503139,21647828,22022228,22032575,22111456,22188523,22283855,22583588,22874139,23020746,23088363,23150089,23935033,24150699,24826148,24875388,24903395,24977593,25386068,25598975,26333255,26439090,26505044,26600606,26740626,26919973,27405650,27692389,27820873,28194439,28201696,28505726,28797171,29483348,29884074,30141155,30674366,30718770,31155044,31194779,31599906,31697890,31721723,31726908,32025086,32146489,32766688,32782808,32886780,33194708,33471123,33528133,33910046,34028389,34171655,34362159,34430015,34572255,34776613,35079232,35273989,35770213,36017893,36166232,36169386,36388873,36523988,36862524,36877072,36880659,37292888,37391966,37486163,37866313,37925486,38037468,38356489,39256766,39455173,39464136,39705778,39846575,40277770,40395044,40611395,40687011,41005986,41196883,41316018,41436339,41486706,41514553,41954499,42077571,42917528,43194889,43334948,43791589,44040728,44150855,44267653,44373322,44397153,44420523,44563970,44898815,44979589,45282700,45688933,45900644,46278073,46748089,47406872,47713666,47815890,48282219,48333324,48459455,48527768,48733674,48816650,48825188,48964933,49012139,49328975,49454115,49517198,49543993,49545819,49775113,50466644,51003616,51076286,51377739,51499333,52044515,52347919,52412293,52639813,52751056,52881575,52981026,53014868,53187827,53196644,53332731,53476764,53706058,53878578,54224389,54337033,54339240,54356883,54593739,54951326,55194068,55241048,56342139,56384146,56594031,56722540,56907973,57379068,57961856,58151346,58283486,58336251,58538798,58564153,58579980,58589912,58852690,59194770,59344938,59558606,59768389,60621908,60855589,61131645,61163108,61163975,61288453,61343444,61935589,61976211,62043193,62098046,62146179,62424788,62453418,62485312,62747255,63072650,63141088,63390460,63438122,63457890,63867086,64283055,64709893,64710575,65192603,65207088,65604815,65913651,66183589,66382046,66559268,67073975,67688416,68067048,68162380,68239563,68264389,68568592,68618283,68883013,69396553,69717802,70295976,70623228,70723333,71033724,71836489,71937253,72362122,72712055,73240633,73357974,73396770,73720738,74599508,74926693,75071006,75256472,75296706,75666644,75687180,75844388,75982610,76068552,76149468,76299589,76575429,76722940,76933779,77032286,77139666,77521166,77652690,78140233,78289888,78332473,78340691,78620293,78725778,79038308,79082973,79404892,79470926,79670089,79812095,80488770,80548780,80616889,80732992,80746204,81032200,81165615,81237575,81462853,81650053,81794856,81895166,81930313,82136798,82178663,82378286,82474431,82829536,82989848,83077323,83873989,83965753,83966855,84338468,84628907,84663531,85403571,85577121,85605193,85785913,85854688,86135819,86274644,86295512,86345938,86576656,86595589,86992655,87042889,87177806,87254466,87843493,88076124,88179539,88506879,88588786,88932515,89001843,89322563,89487983,89857599,90123589,90557800,90660644,90824616,91161225,91179132,91230815,91331173,91416889,91793432,91919726,92019213,92025283,92067528,92234708,92704895,92861198,93132290,93183228,93200293,93363579,93871333,93895655,93988568,95132211,95391699,95419324,95438366,95757243,95774514,95897444,95906139,96209331,96346693,96428089,96586524,96658536,97082451,97238640,97276952,97301726,97398738,97485090,97701423,97979055,98040889,98120773,98693198,98752511,98901575,99079539,99546068,99596860,...,4212307152720773357857314266325345665535576710053137102948767065009058712674780543694612894601405086768591113733193654456306990459334749685422700918759706005188867325270206359451604808278983237885688160725799752401494337703678189125482473165728038560827230050949213811884211078992490256461992339388952922892486145978794988944329459725449707582749104371911527069366465653482227686163463723881060460614622405900213648977370138968805461932419251874189967527444098544753692815468585457637957820742628593111452587719844319986821747207640025738704980262667670573610102859567890797754535093116186028042177180732264150924649133249699152938757855136780140933260038275766641830138143257564955653248070751893884325871155327607044417564029647083955511268230043696059104824723255473157080795557602029995086254002794260314467871305238718581545959470085701477330582846036149241897544885003348347428812425693122005853733016259830861877031552273082403381195252804546666087404026442795757762964649408672208973987269793638212897076418196218033017974540139804568709363363179127854581506822033704970714663778312804398497139111565083652001290288412511662384200586184458620452092781065790649385415662062924761554375886134107133704428281210754185465099631654393266491238237264979226468961615809059356438221431472370301574137671728056364889302313529004419181863263773559859120270753494853577639882426509718697356145151708122892492812813720885209917602861267308628144543286726648028894614825962683189667002129311836984694369722277917605785152172898398549596929926152682424088044007821958485308304276042551779390638925154574357388963198027871266351286596081648406837787004134232199442826735896171523221335933130901736387989641607008099798029286865181530298785478776227529822424514978268230043769731417561103947188135462201904842478056565111486505179187396632777938425402374183138572795899022058635777566802496349857510440037246430824443436984085939808754054779706494753995657220223937744164546760320436722265020061538482636111685495837921610247814210320890461833656038731192085448458910949782503776656209916647153857623557187206165242854214227641213434915591587050241152677072081883913377810958015621949517610299934542998295173807781507722133678850179359004738127353148446291944751162855138303434692019078421712536939426004884973752998714766583714856562116772773018730503313287230309227170878527645434524060353928364795771903642965179039798480132977657192982676302703602836817240607084084977959946777570844827319326041820496285091376958576803537118559925122280852781622498726949261624208686545236420471515306728608572967568163649592352570714887617178010856591625181294931990349005089393593027191170851497419799751306913472469116838452716952274518808060984501932689271725616718824183441677590171235659869594740722583843025972679455204289994006516225450162765530134987483224686480294069524381513482608567025112647357086113491073458458160717619742260324484072530795700498088362100016043273862016881227723107456328630024440064729389962819643560740119351203787604970298728156320704540303166994289280208703906872959299475400753433228483792413787151005038593052604867703836518708491344653468964567355788716508596215930533041948638565178806957522901236558305912819470025447549613068448671920390354176356583058868897404817471698956308992201588551638536373787585529841533916987745019989610343556605177958577474015672208388929818851165293254155177771449461791084195664164676062449863197815915321216499952302438587579509374351288254902639613924973980420810237894720718403908488943095336292802011893433361150281044505937716746265723139295500471259645477413624393976515169438549138646954459536071166685779626707496375127486458917023022790082813275159731729004726475906047939645189949542907877116085145941022355949893516621828446050448676}
23867 455269352544195916789799518163598127224148745244534849353238774341211466933334: {500997,596425,715710,763424,858852,2216469,2644797,3455785,3693805,4146942,4432566,4837693,5121085,6029749,6145302,6836053,6887737,6910990,6916197,7125469,7259305,7342149,7600813,7697413,7834477,8293188,8682985,8711166,9316357,9694333,9765790,9829813,10340918,10419582,10578985,11192110,11263549,11718948,11773502,11823133,11999305,12058486,12552613,12692329,12694782,12945385,13124269,13430532,13705509,13774318,14042590,14399166,14772740,14978377,15348452,15534462,16398889,16851108,16890190,16978669,17079429,17203094,17532493,17727288,17790997,18783877,19181109,19347524,19924388,19943199,20020269,20268228,20490985,21068372,21254293,21479326,21695997,21704749,21926360,22605805,22840585,23267893,23485534,23539189,23544685,23545028,24589182,24667155,24669193,24676484,25200502,25415710,25538473,25870197,26311632,26667469,26834110,26912149,27059785,27126966,27408702,27527785,27639320,27751966,28229485,28253622,28472653,28497092,28670852,28684957,29512549,29600586,30436869,30498852,30694328,30784484,31032685,31094235,31187689,31645453,31732585,31766542,32200932,32267438,32471742,32631277,33032077,33033342,33131305,33167184,33535237,33875382,34531119,34660573,34875529,35252120,35654168,35744533,35950393,36087913,36854185,37239222,37313082,37552837,38033998,38079102,38396228,38535637,38821309,38943805,39168697,39658635,39757566,39845432,39900909,40110939,40958360,40978510,41108475,41481013,41493385,41580997,42133208,42302544,42461797,42758589,43188517,43516693,43849040,43992073,44225022,44628164,44826111,44888686,45207790,45359749,45570493,45654985,45816212,46011549,46078155,46096340,46157174,46616110,46620013,46732566,47399859,47546835,47590362,47720734,48037629,48225848,48265453,48335917,48829742,48936253,49150032,49174212,49330170,49792062,50236549,50493805,50716624,50865069,51266173,51424477,51658729,52514557,52618848,52779166,52822213,52979557,53646910,54168685,54249348,54254079,54674648,54785982,55050910,55088024,55154989,55248452,55293786,55315608,55900438,55939332,56087949,56103428,56242429,56603375,56888229,57056202,57375805,57492373,57971749,57997582,58755229,58885149,59001613,59020126,59196204,59203597,59227364,59258590,59516413,59558667,59997518,60416655,60545749,60592566,60659710,61031485,61116469,61508979,61974027,62230059,63083305,63754520,64376292,64444432,64848814,64978232,65002422,65517973,65636677,65849413,65889253,65938820,65946302,66061092,66268585,66495805,66559983,66714373,66744649,66783433,66845955,67287662,67924050,68254549,68503652,68850966,68992585,69051310,69634057,69723277,70641368,70903175,71092729,71110308,71302352,71348534,71570499,71723835,71838104,72030853,72452320,72475844,72499986,72517909,72616117,72791652,72829513,72927037,73100511,73224975,73237390,73237782,74275797,74798197,75122852,75458708,75508573,75699966,75754574,75777385,75943549,76453885,76505424,76614429,76679305,76793449,76916533,77016589,77535128,77781668,78030985,78106640,78179113,78926360,79126584,79238075,79471539,79522302,79524973,79794966,80215146,80319253,80498269,80559087,80797429,80817867,81475957,81508860,81547198,82080493,82239997,82426989,82634948,82791102,82861572,83199085,83271224,84325597,84576219,84610520,84731629,85083810,85117333,85202975,85465453,85533757,85710740,86068602,86369758,86942784,87026038,87227019,87425229,87808197,87869970,87884868,88150333,88279035,88792155,89017407,89337909,89344909,89569957,89733853,89743849,89909486,90756064,90932862,90943357,90986084,91161157,91447118,91491044,91744662,91813477,91853929,92015166,92768053,92789653,92930102,93147069,93249385,93637182,93680127,93727968,93848173,94070590,94164304,94186909,94583305,94608975,94711632,94805485,95085690,95157183,95186835,95800629,95903675,96726073,96995977,97244782,97810632,97862360,98509069,98728118,98797885,98891749,99256115,99431926,99573069,99838902,...,6318460729081160036785971399488018498303365065079705654423150597513588069012170815541919341902107630152886670599790481684460485689002124528134051378139559007783300987905309539177407212418474856828532241088699628602241506555517283688223709748592057841240845076423820717826316618488735384692988509083429384338729218968192483416494189588174561374123656557867290604049698480223341529245195585821590690921933608850320473466055208453208192898628877811284951291166147817130539223202878186456936731113942889667178881579766479980232620811460038608057470394001505860415154289351836196631802639674279042063265771098396226386973699874548729408136782705170211399890057413649962745207214886347433479872106127840826488806732991410566626346044470625933266902345065544088657237084883209735621193336403044992629381004191390471701806957858077872318939205128552215995874269054223862846317327505022521143218638539683008780599524389746292815547328409623605071792879206819999131106039664193636644446974113008313460980904690457319345614627294327049526961810209706853064045044768691781872260233050557456071995667469206597745708667347625478001935432618767493576300879276687930678139171598685974078123493094387142331563829201160700556642421816131278197649447481589899736857355897468839703442423713589034657332147208555452361206507592084547333953470293506628772794895660339788680406130242280366459823639764578046034217727562184338739219220581327814876404291900962942216814930089972043341922238944024784500503193967755477041554583416876408677728259347597824395394889229023636132066011732937727962456414063827669085958387731861536083444797041806899526929894122472610256680506201348299164240103844257284832003899696352604581984462410512149697043930297772295448178218164341294733636772467402345065654597126341655920782203193302857263717084847667229757768781094949166907638103561274707859193848533087953666350203744524786265660055869646236665155476128909713131082169559742130993485830335906616246820140480655083397530092307723954167528243756882415371721315481335692750484058096788128172688366424673755664984314874970730786435335780809247864281321341461820152373387380575361729015608122825870066716437023432924276415449901814497442760711672261583200518275269038507107191029722669437917126744282707455152038028617632568805409139007327460629498072149875572284843175159159528095754969930845463840756317791468151786090530892547193657855464447768559697720199466485789474014454055404255225860910626127466939920166356267240978989062730744427637065437865205305677839887683421279172433748090423892436313029817854630707272960092912859451352245474388528856072331425767016284887437771942397985523507634090389540786756277246129699626960370208703675257679075428411778212091476752899033907588425078236275162516385256853489804392111083875764538959019182806434991009774338175244148295202481224837029720441104286572270223912850537668971035629170236610187687241076429613390486726108796193550747132543150024064910793025321841584661184492945036660097094084944229465341110179026805681407455448092234481056810454750491433920313055860309438949213101130149842725688620680726507557889578907301555754778062737016980203446851033683074762894323895799562922957847768210436284351854837458869229205038171324419602673007880585531264534874588303346107226207548434463488302382827457804560681378294762300875481617529984415515334907766937866211023508312583394728276747939881232766657174192686626293496247014093674794796723872981824749928453657881369264061526932382353959420887460970631215356842081077605862733414643004439203017840150041725421566758906575119398584708943250706889468216120436590964772754157823707970431689304106750028669440061244562691229688375534534185124219912739597593507089713859071909467784924314361815674127718911533533924840274932742669075673014}
23868 456872039422329372980326604028777838040348732575726954162382886582689481983517: {262427,667996,881747,954280,976907,1073565,1145136,1288278,1594667,1879331,2238986,2400467,2524178,2542427,2955292,3015107,3526396,3534131,4240331,4287347,4522307,4663187,4710131,5368178,5529256,5647331,5694107,5910088,6220413,6348131,6648849,7233227,7326227,7790747,7929947,8193736,8439731,8479946,9217953,9221596,9325586,9594731,9789532,9871187,10366485,11012978,11057584,11293706,11614888,11661131,12135026,12415178,12439782,12619907,12756587,12984227,13066749,13302587,13438907,13892776,13938131,14345867,14648685,14888507,14930066,15294731,15511377,15625264,15629373,16240067,16419731,16788165,16926376,17360867,17578422,17660253,17763131,17907376,18087729,18164747,18274012,18387587,18465925,18654731,18699227,19042173,19054907,19099331,19185565,19198888,19321331,19648586,19720427,20145798,20661477,20712616,20825627,21028466,21063885,21598749,21706187,21854666,22145267,22159110,22468144,22671107,22772572,22802387,23022678,23064731,23301693,23636384,23777426,23980667,24184405,24198227,24849707,24905485,25276662,25335285,25412867,25574812,25672331,25804641,26147267,26335465,26511986,26578187,26590932,26693692,26857537,27024304,27329546,27407950,27566267,27823331,27866147,28251131,28927996,29021286,29274587,29359667,29431285,29742131,29886582,29911907,30402342,30758867,30845605,31197397,31397906,31434131,31602558,32023307,32218989,32694731,32785576,32889540,32945987,33280547,33531131,34493596,34549150,34864753,35082176,35228301,35317542,35566787,35621365,35814731,35838565,36062387,36169288,36544936,36866557,36883773,37014726,37306226,37489309,37624187,37671496,37800753,37869731,38106506,38114987,38123565,38367910,38480605,38639306,38889731,39255707,39467448,39499331,39703178,39742667,40251165,40349747,40582492,40665136,40690449,41113053,41156387,41277107,41458980,41627949,41879627,42197617,42360347,42380433,42616946,42745638,42934576,43006278,43295656,43477547,43676387,44044456,44065150,44073467,44222912,44271707,44301829,44311331,44377046,44400879,44567710,45102131,45167176,45338747,45748278,45929027,46041492,46176726,46282331,46300178,46321547,46517507,47649813,47805827,47840317,47870066,47995285,48077987,48202021,48301398,48401157,48659867,48707613,48969467,49008131,49239947,49550013,49652296,49750776,49779731,49806790,49818227,49955186,50356331,50509787,50586467,50772136,50813073,51084107,51160547,51197950,52666510,52796267,52878180,52985507,53010088,53201212,53481252,53815787,53839946,54342131,54379667,54778273,54811300,55128707,55384778,55641746,55688387,55785205,55858833,55969623,56171987,56357627,56388878,56403392,56728307,56855953,56950331,57011452,57050997,57118653,57135131,57270265,57356627,57504131,57594342,57620425,57688331,57923437,58386467,58966696,59008667,59636349,59664947,59768148,59919467,60028427,60282310,60572147,60969731,61348732,61437540,61467765,61510331,61811197,62049131,62084987,62310088,62389558,62800427,62858341,62943131,63199812,63395780,63443446,63453816,63690227,64009331,64050172,64292978,64539731,64716131,64751387,65033147,65533376,65565616,65773560,65910347,66337533,66389416,66643331,66942246,67056266,67130027,67333029,67811685,67820092,67843237,68056778,68202131,68343310,68683787,68724318,68860030,68889731,68924027,69060565,69144510,69235761,69403331,69437507,69553226,69924165,70098849,70129285,70158464,70547978,70560827,70628627,70764131,71271131,71385543,71473427,71540426,71581101,71742707,71977907,72035786,72332464,72338772,72480587,72647747,72777746,72862321,73047976,73081427,73244613,73580147,73725048,73754144,73761318,73995255,74034205,74473307,74585776,74688093,74783932,74934131,74972326,75262331,75622427,75720467,75732626,75850972,75916331,76074936,76209587,76599587,76712978,77020787,77505107,77698331,77987627,78180131,78372347,78513532,78910346,78928272,79168749,79411556,79487867,79583027,79693150,79899707,80247131,80470365,80555540,80790088,80907707,81222790,81374022,81502331,81969731,82011972,82178973,82393766,82423525,82576365,82632036,82872678,82940679,82973412,83029106,83514731,83698787,83850657,83908998,84096587,84155142,84553907,84705947,85523507,85584303,85613987,85629565,85835056,85975187,86275307,86365187,86389778,86425067,86669896,86873147,86996373,87583178,87846157,87882131,88081456,88147667,88301710,88530189,88535306,88746644,88794306,88841046,88887885,89127940,89174147,89349131,89465627,89797630,89959178,89996277,90508331,90565400,90594805,90888849,90989565,91340747,91369331,91377866,91512131,91768667,91801288,91846741,91967747,92556146,92584453,92788331,93069731,93496178,93658067,93741827,93903565,93909131,94323385,94326131,94464731,94585249,94813744,95427332,95456747,95631780,95976131,96564438,96628067,96666648,96918910,96925331,97033187,97055536,97227085,97273221,97467348,97490147,97503633,97633300,97650376,97929866,98024278,98157947,98657950,98908230,98919453,99031787,99034396,99084467,99087986,99091638,99550226,99557147,99818627,99949067,...,9477691093621740055178957099232027747455047597619558481634725896270382103518256223312879012853161445229330005899685722526690728533503186792201077067209338511674951481857964308766110818627712285242798361633049442903362259833275925532335564622888086761861267614635731076739474927733103077039482763625144076508093828452288725124741284382261842061185484836800935906074547720335012293867793378732386036382900413275480710199082812679812289347943316716927426936749221725695808834804317279685405096670914334500768322369649719970348931217190057912086205591002258790622731434027754294947703959511418563094898656647594339580460549811823094112205174057755317099835086120474944117810822329521150219808159191761239733210099487115849939519066705938899900353517598316132985855627324814603431790004604567488944071506287085707552710436787116808478408807692828323993811403581335794269475991257533781714827957809524513170899286584619439223320992614435407607689318810229998696659059496290454966670461169512470191471357035685979018421940941490574290442715314560279596067567153037672808390349575836184107993501203809896618563001021438217002903148928151240364451318915031896017208757398028961117185239641580713497345743801741050834963632724196917296474171222384849605286033846203259555163635570383551985998220812833178541809761388126821000930205440259943159192343490509683020609195363420549689735459646867069051326591343276508108828830871991722314606437851444413325222395134958065012883358416037176750754790951633215562331875125314613016592389021396736593092333843535454198099017599406591943684621095741503628937581597792304125167195562710349290394841183708915385020759302022448746360155766385927248005849544528906872976693615768224545565895446658443172267327246511942100455158701103517598481895689512483881173304789954285895575627271500844636653171642423750361457155341912061788790772799631930499525305616787179398490083804469354997733214193364569696623254339613196490228745503859924370230210720982625096295138461585931251292365635323623057581973222003539125726087145182192259032549637010633497476472312456096179653003671213871796421982012192730228560081070863042593523412184238805100074655535149386414623174852721746164141067508392374800777412903557760660786544584004156875690116424061182728057042926448853208113708510991190944247108224813358427264762738739292143632454896268195761134476687202227679135796338820790486783196671652839546580299199728684211021681083106382838791365939191200409880249534400861468483594096116641455598156797807958516759831525131918758650622135635838654469544726781946060909440139369289177028368211582793284108497138650524427331156657913596978285261451135584311180134415869194549440440555313055512886518613142617667318137215129348550861382637617354412743774577885280234706588166625813646808438528774209652486514661507262866222442803721837255544580661656429858405335869275806503456553443755354915281530861614644420085730089163194290326120698814725036097366189537982762376991776739417554990145641127416344198011665268540208522111183172138351721585215682125737150880469583790464158423819651695224764088532931021089761336834368360952333632167094105525470305170276550524612144341485843699344384436771652315654426527782256188303843807557256986629404009511820878296896802311882455019160839311322651695232453574241186706841022067442143451313222426294976623273002361650406799316535262468875092092415121909821849149985761289029939440244370521140512192195085809472737124892680486822053896092290398573530939131331191455946823035263121616408794100121964506658804526760225062588132350138359862679097877063414876060334202324180654886447159131236735561955647533956160125043004160091866844036844532563301801277686329869109396390260634570788607864201677386471542723511191578367300300887260412399114003613509521}
23869 458480331691901080942295134794803810841829284978562790517963953418863074498170: {23869,834995,1001994,1192850,1431420,1526848,1717704,1932417,3358479,3694115,3786267,4407995,4432938,4838099,5171327,5289594,6911570,7126067,7169519,7387610,7698059,8052267,8125007,8293884,8602991,8865132,8982779,9675386,10163027,10242170,10412399,11456939,11526995,12059498,12156179,12236915,12290604,12719919,13311467,13672106,13775474,13821980,13832394,13988379,14029391,14250938,14518610,14684298,14810579,15201626,15394826,15668954,16519467,16586376,16740539,16799027,16940559,17365970,17422332,18123539,18202539,18622767,18632714,18659673,19388666,19531580,19659626,20681836,20720219,20839164,21157970,22384220,22395099,22527098,22842515,23437896,23547004,23646266,23998610,24116972,25105226,25352987,25384658,25389564,25651067,25890770,26248538,26367633,26861064,27299747,27411018,27498419,27548636,27571451,28085180,28465715,28687379,28798332,29472879,29545480,29956754,30218697,30696904,31068924,31542699,31648127,31805267,31927139,31968515,31976819,32781999,32797778,32962559,33238665,33367115,33649499,33702216,33780380,33957338,34158858,34406188,34534017,34878467,35064986,35454576,35581994,35666139,36159995,36266351,37480559,37567754,37848299,37883699,37914993,38362218,38538899,38695048,39521279,39767979,39848776,39886398,39914867,40040538,40179851,40536456,40981970,40994319,41111925,42136744,42243539,42508586,42958652,43116995,43184639,43391994,43409498,43445759,43531929,43776779,43852720,43995779,44425619,44829873,45211610,45603513,45681170,46190939,46383827,46472879,46535786,46971068,47078378,47089370,47090056,47096859,47140907,47403837,48269519,49167611,49178364,49334310,49338386,49352968,50314739,50401004,50728115,50831420,51076946,51428819,51595859,51740394,51823725,51896459,52311167,52623264,52976313,53334938,53668220,53824298,54119570,54178667,54253932,54436451,54521327,54817404,55055570,55096379,55278640,55503932,55522089,55959339,56247167,56458970,56507244,56945306,56994184,57159759,57341704,57369914,57551865,57958959,58090739,59025098,59036591,59201172,59370467,59441267,59521451,59554767,60296879,60873738,60997704,61388656,61568968,62065370,62188470,62375378,62420147,63290906,63465170,63533084,63916979,63925419,64118457,64401864,64509417,64534876,64943484,65262554,65271467,65642219,66064154,66066684,66097725,66262610,66334368,66501515,66565569,66789059,66851565,67070474,67750764,68122787,68512067,68514125,68622417,69062238,69265089,69283199,69321146,69430019,69450267,69729179,69751058,70337579,70504240,70691327,71264315,71308336,71389187,71489066,71554067,71805099,71851307,71900786,72175826,72452097,72835667,73358639,73708370,74478444,74560667,74626164,74710185,74932779,75105674,75836159,76067996,76158204,76685915,76792456,76796925,77071274,77642618,77826299,77887610,78185699,78337394,78844259,78999765,79244725,79317270,79515132,79690864,79801818,80062715,80221878,80326127,80505071,80664467,80668559,80759919,81397691,81916720,81957020,82216950,82962026,82986770,83077167,83161994,83462619,84266416,84583317,84605088,84738767,84775115,84923594,85444079,85517178,85540979,86377034,86391513,87033386,87698080,87984146,88157759,88316627,88362587,88450044,89256328,89577539,89652222,89751467,89777372,90251051,90415580,90423465,90719498,91140986,91309970,91632424,91861667,91964339,92023098,92156310,92192680,92314348,92776019,93094127,93232220,93240026,93465132,93479915,93584337,93856079,93984059,94799718,94813715,95093670,95165169,95180724,95441468,96075258,96439467,96451696,96530906,96589619,96671834,97004219,97029467,97659484,97872506,98141915,98300064,98348424,98660340,99169139,99264445,99584124,...,12636921458162320073571942798976036996606730130159411308846301195027176138024341631083838683804215260305773341199580963368920971378004249056268102756279118015566601975810619078354814424836949713657064482177399257204483013111034567376447419497184115682481690152847641435652633236977470769385977018166858768677458437936384966832988379176349122748247313115734581208099396960446683058490391171643181381843867217700640946932110416906416385797257755622569902582332295634261078446405756372913873462227885779334357763159532959960465241622920077216114940788003011720830308578703672393263605279348558084126531542196792452773947399749097458816273565410340422799780114827299925490414429772694866959744212255681652977613465982821133252692088941251866533804690131088177314474169766419471242386672806089985258762008382780943403613915716155744637878410257104431991748538108447725692634655010045042286437277079366017561199048779492585631094656819247210143585758413639998262212079328387273288893948226016626921961809380914638691229254588654099053923620419413706128090089537383563744520466101114912143991334938413195491417334695250956003870865237534987152601758553375861356278343197371948156246986188774284663127658402321401113284843632262556395298894963179799473714711794937679406884847427178069314664294417110904722413015184169094667906940587013257545589791320679577360812260484560732919647279529156092068435455124368677478438441162655629752808583801925884433629860179944086683844477888049569001006387935510954083109166833752817355456518695195648790789778458047272264132023465875455924912828127655338171916775463723072166889594083613799053859788244945220513361012402696598328480207688514569664007799392705209163968924821024299394087860595544590896356436328682589467273544934804690131309194252683311841564406386605714527434169695334459515537562189898333815276207122549415718387697066175907332700407489049572531320111739292473330310952257819426262164339119484261986971660671813232493640280961310166795060184615447908335056487513764830743442630962671385500968116193576256345376732849347511329968629749941461572870671561618495728562642682923640304746774761150723458031216245651740133432874046865848552830899803628994885521423344523166401036550538077014214382059445338875834253488565414910304076057235265137610818278014654921258996144299751144569686350318319056191509939861690927681512635582936303572181061785094387315710928895537119395440398932971578948028908110808510451721821252254933879840332712534481957978125461488855274130875730410611355679775366842558344867496180847784872626059635709261414545920185825718902704490948777057712144662851534032569774875543884795971047015268180779081573512554492259399253920740417407350515358150856823556424182953505798067815176850156472550325032770513706979608784222167751529077918038365612869982019548676350488296590404962449674059440882208573144540447825701075337942071258340473220375374482152859226780973452217592387101494265086300048129821586050643683169322368985890073320194188169888458930682220358053611362814910896184468962113620909500982867840626111720618877898426202260299685451377241361453015115779157814603111509556125474033960406893702067366149525788647791599125845915695536420872568703709674917738458410076342648839205346015761171062529069749176606692214452415096868926976604765654915609121362756589524601750963235059968831030669815533875732422047016625166789456553495879762465533314348385373252586992494028187349589593447745963649499856907315762738528123053864764707918841774921941262430713684162155211725466829286008878406035680300083450843133517813150238797169417886501413778936432240873181929545508315647415940863378608213500057338880122489125382459376751069068370248439825479195187014179427718143818935569848628723631348255437823067067849680549865485338151346028}
23870 460094248830611014649155235293852669605398680995687758617110007160085355500214: {310141,524854,881821,1024561,1335992,1502991,1763494,1789275,1908560,1953814,2147130,2290272,2305981,2448001,2576556,2589949,3015361,3189334,3581569,3758662,4287709,4477972,4569661,4710529,4800934,5048356,5084854,5694589,5910584,6030214,6395329,6535261,6649407,7052792,7068262,7233841,7373341,7791409,7934391,8480662,8574694,8764381,9044614,9318781,9326374,9420262,10286209,10367355,10736356,11058512,11081415,11294662,11388214,11662129,11820176,12440826,12696262,13297698,13440061,13984669,14392369,14466454,14513079,14652454,14934961,15341149,15363255,15581494,15611581,15859894,16387472,16824961,16879462,16959892,17093809,17277475,18089247,18435906,18443192,18651172,18700849,19100989,19189462,19579064,19633501,19742374,19766449,20164861,20508159,20663211,20732970,20748591,20827441,21376407,21777915,22025956,22026447,22115168,22587412,22802439,23066749,23092239,23229776,23322262,23503431,24243841,24270052,24414475,24765121,24830356,24879564,24895261,25239814,25513174,25674589,25852295,25968454,26048955,26133498,26192701,26580529,26605174,26859791,26877814,27225469,27785552,27868609,27876262,27949071,27980275,28253629,28691734,29082999,29277181,29297370,29404801,29433755,29489439,29777014,29787229,29860132,29914561,30146215,30589462,31022754,31250528,31258746,31736955,31942081,32068189,32480134,32839462,33325309,33576330,33790647,33852752,33858167,34435795,34721734,34867679,34948801,35106475,35156844,35197489,35320506,35469399,35526262,35569981,35814752,35997915,36175458,36329494,36548024,36775174,36869651,36931850,37309462,37398454,37657839,37668529,38076987,38084346,38109814,38159281,38198662,38371130,38397776,38526589,38642662,38648881,38836155,38893249,39259261,39297172,39372807,39440854,40291596,40353409,41079601,41116527,41200381,41203799,41321089,41322954,41425232,41651254,42056932,42127770,42225475,42404221,43007735,43183847,43197498,43412374,43709332,43720129,43958449,44290534,44305547,44315389,44318220,44790301,44935131,44936288,45342214,45382321,45545144,45604774,45972541,46045356,46129462,46325809,46560961,46603386,47272768,47554852,47961334,48082429,48368810,48396454,49012669,49020367,49196667,49244509,49476061,49699414,49810970,49822849,49869911,50173991,50399389,50514481,50553324,50670570,50825734,50936007,50974129,51088861,51149624,51203521,51238287,51318109,51344662,51609282,52232221,52294534,52356707,52597479,52670930,52914781,53023972,53156374,53181864,53372991,53387384,53698315,53715074,53872847,54048608,54384769,54497341,54659092,54815900,55132534,55171261,55646662,55732294,56351631,56400049,56502262,56733661,56844721,57288241,57398941,57543327,57730609,57855992,58042572,58061629,58549174,58713835,58719334,58862570,59050801,59484262,59773164,59823814,59829597,59925169,60034141,60060807,60577921,60804684,61472955,61517734,61691210,62090929,62394794,62795812,62868262,63001255,63205116,63539275,63696349,63762879,64046614,64437978,64737959,64757629,65087991,65114247,65389462,65496241,65571152,65779080,65891974,66561094,66649789,67062262,67085275,67171249,67193399,67379329,67817415,68001841,68208769,68454971,68521755,68930749,68987192,69098300,69379915,69444289,69729506,69803679,70164352,70456602,70617567,70634055,70635084,70669441,71133574,71242730,71480449,71581501,71629462,71677130,71783389,72085681,72124774,72338576,72688321,73089872,73587421,73733114,73767546,74001465,74007579,74029452,74579581,74612452,74777149,74978618,75072961,75248374,75342992,75601506,75739462,75760669,76213012,76229974,76247130,76615419,76639681,76735820,76961210,77028481,77278612,77512861,77610591,77779462,77995441,78099287,78511414,78572161,78934896,78998662,79406356,79416355,79485334,79527601,79907761,80002407,80178371,80286769,80381341,80502330,80668595,80699494,80736447,80947261,81164984,81179355,81229249,81330272,81380898,81884701,82226106,82312774,82554214,82583355,82917960,83255898,83553949,83580871,83737981,83759254,84395234,84562561,84688455,84720694,84745009,84760866,85109041,85233892,85417959,85491276,85869152,86012556,86014081,86054871,86284189,86374081,86591312,86911921,86955094,87352774,88068349,88088912,88130300,88146934,88445824,88537647,88543414,88597981,88603658,88622662,88686001,88754092,88801758,88949629,89135420,89212609,89387569,89474941,89562241,90204262,90334352,90517789,90677494,91293121,91310607,91378909,91496556,91550269,91858054,92082984,92353452,92402749,92564662,92600356,92643094,93035014,93098055,93282705,93563067,93667969,93751741,94502449,94936359,95084995,95197755,95299626,95412061,95611654,95680634,95740132,95904541,95990570,96155974,96404042,96602796,96684791,96800689,96802314,97205149,97319734,97415226,97527421,97893831,97938934,98016262,98180999,98479894,99042481,99096231,99100026,99304592,99393915,99501552,99559462,99613580,99636454,99907741,99910372,99985969,...,18955382187243480110357914198464055494910095195239116963269451792540764207036512446625758025706322890458660011799371445053381457067006373584402154134418677023349902963715928617532221637255424570485596723266098885806724519666551851064671129245776173523722535229271462153478949855466206154078965527250288153016187656904577450249482568764523684122370969673601871812149095440670024587735586757464772072765800826550961420398165625359624578695886633433854853873498443451391617669608634559370810193341828669001536644739299439940697862434380115824172411182004517581245462868055508589895407919022837126189797313295188679160921099623646188224410348115510634199670172240949888235621644659042300439616318383522479466420198974231699879038133411877799800707035196632265971711254649629206863580009209134977888143012574171415105420873574233616956817615385656647987622807162671588538951982515067563429655915619049026341798573169238878446641985228870815215378637620459997393318118992580909933340922339024940382942714071371958036843881882981148580885430629120559192135134306075345616780699151672368215987002407619793237126002042876434005806297856302480728902637830063792034417514796057922234370479283161426994691487603482101669927265448393834592948342444769699210572067692406519110327271140767103971996441625666357083619522776253642001860410880519886318384686981019366041218390726841099379470919293734138102653182686553016217657661743983444629212875702888826650444790269916130025766716832074353501509581903266431124663750250629226033184778042793473186184667687070908396198035198813183887369242191483007257875163195584608250334391125420698580789682367417830770041518604044897492720311532771854496011699089057813745953387231536449091131790893316886344534654493023884200910317402207035196963791379024967762346609579908571791151254543001689273306343284847500722914310683824123577581545599263860999050611233574358796980167608938709995466428386729139393246508679226392980457491007719848740460421441965250192590276923171862502584731270647246115163946444007078251452174290364384518065099274021266994952944624912192359306007342427743592843964024385460457120162141726085187046824368477610200149311070298772829246349705443492328282135016784749601554825807115521321573089168008313751380232848122365456114085852897706416227417021982381888494216449626716854529525477478584287264909792536391522268953374404455358271592677641580973566393343305679093160598399457368422043362166212765677582731878382400819760499068801722936967188192233282911196313595615917033519663050263837517301244271271677308939089453563892121818880278738578354056736423165586568216994277301048854662313315827193956570522902271168622360268831738389098880881110626111025773037226285235334636274430258697101722765275234708825487549155770560469413176333251627293616877057548419304973029323014525732444885607443674511089161323312859716810671738551613006913106887510709830563061723229288840171460178326388580652241397629450072194732379075965524753983553478835109980291282254832688396023330537080417044222366344276703443170431364251474301760939167580928316847639303390449528177065862042179522673668736721904667264334188211050940610340553101049224288682971687398688768873543304631308853055564512376607687615114513973258808019023641756593793604623764910038321678622645303390464907148482373413682044134884286902626444852589953246546004723300813598633070524937750184184830243819643698299971522578059878880488741042281024384390171618945474249785360973644107792184580797147061878262662382911893646070526243232817588200243929013317609053520450125176264700276719725358195754126829752120668404648361309772894318262473471123911295067912320250086008320183733688073689065126603602555372659738218792780521269141577215728403354772943085447022383156734600601774520824798228007227019042}
23871 461713810383401271555218555526549785186614243013912968911634252487947147371424: {47738,787281,1168993,1669990,2003988,2385700,2645241,2862840,2930721,3053696,3220695,3435408,3864834,4784001,5171761,5597465,5637993,6171193,6310445,6716958,7201401,7388230,7572534,7602089,7627281,8603713,8815990,8865876,9045321,9317921,9602281,9676198,10342654,10579188,10602393,10742369,12311321,12720993,12862041,13420445,13566921,13823140,13989561,14130393,14252134,14339038,14775220,15396118,15446849,15887273,16104534,16137793,16250014,16587768,16597661,16941993,17082321,17131681,17205982,17730264,17965558,18579209,18661239,19044393,19350772,19946547,20026733,20326054,20484340,20824798,21199865,21444701,21699681,21978681,22913878,23053990,23313965,23372241,23789841,24118996,24312358,24473830,24581208,25319193,25439838,25728881,26622934,27344212,27532445,27550948,27643960,27653859,27664788,27957281,27976758,28058782,28234265,28299389,28501876,28784193,29037220,29368596,29517521,29613561,29621158,29962621,30337565,30403252,30789652,31037945,31099455,31337908,31979521,32281673,33038934,33172752,33481078,33598054,33881118,34731940,34844664,34983393,35683273,36247078,36405078,36563693,37245534,37265428,37319346,37325165,37859721,38269761,38777332,38952681,39063160,39200247,39319252,39852001,39907761,39989309,40316721,40783901,41363672,41440438,41678328,41814393,42315940,42860233,43037601,43195793,43946055,44665521,44755921,44768440,44790198,45054196,45076361,45606461,45685030,45884193,46534131,46713961,46875792,46888119,47094008,47292532,47997220,48233944,48720201,49121465,49171753,49259193,49376521,49728569,50210452,50364495,50623993,50705974,50769316,50779128,51277721,51302134,51781540,52082601,52497076,52571165,52735266,52980759,53289393,53655661,53722128,53784721,54263187,54494241,54599494,54636665,54822036,54996838,55097272,55142902,55162761,55164281,55397775,55711981,55964193,56097681,56170360,56931430,57126519,57164721,57297993,57374758,57556695,57596664,57963993,58190689,58426601,58918393,58945758,59011601,59090960,59161281,59443565,59913508,60363793,60437394,60556001,61306493,61393808,61984431,62137848,62340841,62476881,63085398,63191655,63296254,63610534,63854278,63937030,63953638,64178461,64796247,65118561,65184449,65563998,65595556,65925118,66279965,66435801,66477330,66725681,66734230,67247393,67298998,67404432,67560760,67914676,68013321,68317716,68323865,68407161,68455441,68519875,68812376,69068034,69194193,69537389,69756934,69905079,70129972,70343533,70909152,71019361,71163988,71332278,71395201,71942001,72319990,72532702,72553215,72594681,73364833,74549121,74716455,74961118,75135508,75696598,75767398,75829986,75956441,76005855,76238601,76724436,76833761,77016993,77077798,77390096,77413923,78441801,78494765,79006395,79042558,79263761,79535958,79697552,79734561,79772796,79829734,80081076,80359702,80561129,80572611,80811041,81072912,81404569,81963940,81988638,82223850,82684193,82698801,83469993,83598441,84273488,84487078,84753393,84915181,85017172,85917304,86233990,86369278,86372875,86630909,86783988,86818996,86891518,87063858,87553558,87705440,87823761,87991558,88079001,88293855,88851238,89226393,89359961,89659746,89735721,90423220,91176593,91207026,91362340,92276601,92381878,92536815,92613641,92767654,92945758,93071572,93102121,93265565,93592191,93942136,94156756,94178740,94180112,94193718,94281814,94302393,94807674,95266265,95919775,96069921,96539038,96598265,96656967,97037641,97445273,98084193,98335222,98356728,98668620,98676772,98705936,98837961,99257945,99451049,99770041,99841641,...,28433073280865220165536871297696083242365142792858675444904177688811146310554768669938637038559484335687990017699057167580072185600509560376603231201628015535024854445573892926298332455883136855728395084899148328710086779499827776597006693868664260285583802843907193230218424783199309231118448290875432229524281485356866175374223853146785526183556454510402807718223643161005036881603380136197158109148701239826442130597248438039436868043829950150782280810247665177087426504412951839056215290012743003502304967108949159911046793651570173736258616773006776371868194302083262884843111878534255689284695969942783018741381649435469282336615522173265951299505258361424832353432466988563450659424477575283719199630298461347549818557200117816699701060552794948398957566881974443810295370013813702466832214518861257122658131310361350425435226423078484971981434210744007382808427973772601345144483873428573539512697859753858317669962977843306222823067956430689996089977178488871364900011383508537410574414071107057937055265822824471722871328145943680838788202701459113018425171048727508552323980503611429689855689003064314651008709446784453721093353956745095688051626272194086883351555718924742140492037231405223152504890898172590751889422513667154548815858101538609778665490906711150655957994662438499535625429284164380463002790616320779829477577030471529049061827586090261649069206378940601207153979774029829524326486492615975166943819313554333239975667185404874195038650075248111530252264372854899646686995625375943839049777167064190209779277001530606362594297052798219775831053863287224510886812744793376912375501586688131047871184523551126746155062277906067346239080467299157781744017548633586720618930080847304673636697686339975329516801981739535826301365476103310552795445687068537451643519914369862857686726881814502533909959514927271251084371466025736185366372318398895791498575916850361538195470251413408064993199642580093709089869763018839589470686236511579773110690632162947875288885415384757793753877096905970869172745919666010617377178261435546576777097648911031900492429416937368288538959011013641615389265946036578190685680243212589127780570236552716415300223966605448159243869524558165238492423202525177124402332238710673281982359633752012470627070349272183548184171128779346559624341125532973572832741324674440075281794288216217876430897364688804587283403430061606683037407389016462371460349590014958518639740897599186052633065043249319148516374097817573601229640748603202584405450782288349924366794470393423875550279494575395756275951866406907515963408634180345838182728320418107867531085104634748379852325491415951573281993469973740790934855784353406752933540403247607583648321321665939166538659555839427853001954411645388045652584147912852063238231323733655840704119764499877440940425315586322628957459543984521788598667328411165511766633741984969289575216007607827419510369660331266064745844592584843933260257190267489582870978362096444175108292098568613948287130975330218252664970436923382249032594034995805620625566333549516415055164755647046377211452641408751371392475271458955085674292265598793063269284010503105082857000896501282316576410915510829651573836433024457531098033153310314956946963279583346768564911531422671770959888212028535462634890690406935647365057482517933967955085697360722723560120523066202326430353939667278884929869819007084951220397949605787406625276277245365729465547449957283867089818320733111563421536576585257428418211374678041460466161688276871195720592817393993574367840469105789364849226382300365893519976413580280675187764397050415079588037293631190244628181002606972541964659341477393710206685866942601868480375129012480275600532110533597689905403833058989607328189170781903712365823592605032159414628170533574735101900902661781237197342010840528563}
23872 463339035962686702091438652917480626205362861924675266720001427485972097438667: {71607,620282,977071,1049708,1262407,1404967,1689871,1763642,1974487,2049122,2504985,2671984,2982125,3005982,3110071,3526988,3578550,3817120,3907628,4294260,4580544,4611962,4896002,5153112,5179898,5648287,5797251,6030722,6209167,6349207,6378668,7163138,7327471,7517324,8575418,8955944,9139322,9421058,9601868,10075437,10096712,10169708,11082345,11358801,11389178,11754607,11821168,12060428,12790658,13070522,13223985,13298814,13804447,14105584,14136524,14467682,14514297,14746682,15513981,15582818,15838087,15868782,16961324,17149388,17278925,17528762,17855527,18089228,18469025,18637562,18652748,18657967,18840524,20572418,20734710,20917471,21314047,21378201,21472712,21508557,22117024,22162830,22236871,22589324,22776428,23094177,23156167,23287207,23324258,23640352,24156801,24188465,24202471,24375021,24881652,25114207,25392524,25605425,25808973,26151871,26410567,26595396,26798071,26880122,26948337,27056047,27828247,27969338,28469767,28784738,28932908,29026158,29304908,29364871,29869922,30148745,30489081,30637471,30682298,30726510,31162988,31223162,31237197,31719788,32281087,32774944,33161071,33649922,33758924,33919784,34037527,34180265,34187618,34370817,34438685,34554950,34580985,35627345,35655871,35903767,36178494,36193213,36296525,36468537,36710745,36871812,36886384,37302344,37401698,38004065,38159757,38201978,38378924,38487065,39158128,39172385,39267002,39484748,39532898,39934401,40329722,41016318,41207257,41326422,41465940,41497182,41654882,41965137,42088173,42204701,42752814,43326247,43414925,43555830,44051912,44052894,44230336,44431737,45110407,45174824,45604878,45701527,46133498,46184478,46459552,46581785,46644524,47006862,48210113,48471665,48487682,48540104,48828950,49024481,49094527,49149065,49530242,49558401,49660712,49759128,49788967,49790522,50221617,50397081,50479628,50595871,50821677,51026348,51170071,51349178,51704590,51936908,52097910,52266996,52361101,52385402,52894925,53161058,53210348,53719582,53755628,54014071,54352327,54370617,54450938,54607617,54787469,55571104,55737218,55752524,55868301,55898142,55960550,55979019,56317745,56507258,57035047,57383468,57699247,57933161,58165998,58554362,58594740,58809602,58867510,58978878,59115665,59554028,59574458,59720264,59829122,59996525,60112471,60210829,60292430,60981367,61178924,62045508,62061007,62160657,62501056,62517492,62598127,62763065,63026527,63461645,63473910,63884162,64092487,64136378,64726925,64728607,64960268,65621345,65678924,65993071,66307567,66310541,66650618,67152660,67185297,67581294,67705504,67716334,68284327,68387647,68527545,68871590,69416887,69443468,69735358,69897602,70212950,70313688,70394978,70641012,70642471,70938798,71052524,71139962,71629504,71958487,71995830,72350916,72658988,73096048,73362127,73550348,73739302,73863700,74157871,74618924,74796908,74891885,75177641,75315678,75337058,75746033,76058961,76153974,76168692,76219628,76318562,76397324,76508497,76614871,76742260,76795552,76953201,77053178,77100871,77285324,77297762,77585071,77672310,77786498,78067471,78259927,78518522,78594344,78745614,78881708,79102899,79789207,80583192,80706818,80735647,81581287,81899241,81994445,82159202,82199369,82233054,82400762,82407598,82495257,82642178,82645908,82714353,82792471,82850464,83302508,83991487,84113864,84255540,84450950,84808442,84893345,85397145,85812367,86015470,86062137,86367694,86394996,86442871,86824748,86891071,87069847,87418664,87440258,87662465,87916898,88201757,88401487,88418637,88581068,88611094,88630778,88636440,88954985,89345069,89580602,89870262,89872576,89978071,90584887,90656091,90684428,90764642,90843871,91090288,91209548,91445647,91531327,91945082,92090712,92258924,92553871,92651618,93121922,93206772,93919385,93984727,94401607,94545536,94628097,94944381,95109704,95415801,95723527,95781417,95905545,95922668,95930457,96164858,96459007,96702871,96737620,96792908,97131881,98025338,98040734,98152447,98345997,98393334,98489018,98777393,98868487,98887677,98952122,99105871,99398828,99621940,99645698,99715995,99739822,...,37910764374486960220715828396928110989820190390478233926538903585081528414073024893251516051412645780917320023598742890106762914134012747168804308268837354046699805927431857235064443274510849140971193446532197771613449039333103702129342258491552347047445070458542924306957899710932412308157931054500576306032375313809154900498965137529047368244741939347203743624298190881340049175471173514929544145531601653101922840796331250719249157391773266867709707746996886902783235339217269118741620386683657338003073289478598879881395724868760231648344822364009035162490925736111017179790815838045674252379594626590377358321842199247292376448820696231021268399340344481899776471243289318084600879232636767044958932840397948463399758076266823755599601414070393264531943422509299258413727160018418269955776286025148342830210841747148467233913635230771313295975245614325343177077903965030135126859311831238098052683597146338477756893283970457741630430757275240919994786636237985161819866681844678049880765885428142743916073687763765962297161770861258241118384270268612150691233561398303344736431974004815239586474252004085752868011612595712604961457805275660127584068835029592115844468740958566322853989382975206964203339854530896787669185896684889539398421144135384813038220654542281534207943992883251332714167239045552507284003720821761039772636769373962038732082436781453682198758941838587468276205306365373106032435315323487966889258425751405777653300889580539832260051533433664148707003019163806532862249327500501258452066369556085586946372369335374141816792396070397626367774738484382966014515750326391169216500668782250841397161579364734835661540083037208089794985440623065543708992023398178115627491906774463072898182263581786633772689069308986047768401820634804414070393927582758049935524693219159817143582302509086003378546612686569695001445828621367648247155163091198527721998101222467148717593960335217877419990932856773458278786493017358452785960914982015439697480920842883930500385180553846343725005169462541294492230327892888014156502904348580728769036130198548042533989905889249824384718612014684855487185687928048770920914240324283452170374093648736955220400298622140597545658492699410886984656564270033569499203109651614231042643146178336016627502760465696244730912228171705795412832454834043964763776988432899253433709059050954957168574529819585072783044537906748808910716543185355283161947132786686611358186321196798914736844086724332425531355165463756764801639520998137603445873934376384466565822392627191231834067039326100527675034602488542543354617878178907127784243637760557477156708113472846331173136433988554602097709324626631654387913141045804542337244720537663476778197761762221252222051546074452570470669272548860517394203445530550469417650975098311541120938826352666503254587233754115096838609946058646029051464889771214887349022178322646625719433621343477103226013826213775021419661126123446458577680342920356652777161304482795258900144389464758151931049507967106957670219960582564509665376792046661074160834088444732688553406886340862728502948603521878335161856633695278606780899056354131724084359045347337473443809334528668376422101881220681106202098448577365943374797377537747086609262617706111129024753215375230229027946517616038047283513187587209247529820076643357245290606780929814296964746827364088269768573805252889705179906493092009446601627197266141049875500368369660487639287396599943045156119757760977482084562048768780343237890948499570721947288215584369161594294123756525324765823787292141052486465635176400487858026635218107040900250352529400553439450716391508253659504241336809296722619545788636524946942247822590135824640500172016640367467376147378130253207205110745319476437585561042538283154431456806709545886170894044766313469201203549041649596456014454038084}
23873 464969945248586325040257710156372594299050628046823371031024352107567917166008: {23873,95476,930423,1312135,1574562,2337986,2645463,3073683,3339980,4007976,4408735,4508973,4771400,4884535,5290482,5367825,5725680,5861442,6107392,6441390,6870816,6917943,7344003,7602727,7729668,7769847,7836451,7973335,8126371,8834623,8984287,9046083,9318703,9396655,9568002,10343522,10414147,10744707,11194930,11266387,11275986,11746711,12002335,12342386,12604483,12620890,12695527,12712135,12863127,13433916,13708983,14131587,14402802,14549743,14776460,14982151,15075535,15145068,15204178,15254562,15970471,16982947,17083767,17207426,17407303,17631980,17670655,17731752,18090642,18255367,18550327,18635842,18788623,19102567,19185987,19204562,19352396,19605783,19948221,20264863,20685308,21158376,21201655,21204786,21407887,21436735,21484738,21701523,21957247,22120023,22611535,23273767,23315935,23374227,23550655,23803173,23967607,24622642,25441986,25724082,26293143,26398471,26840890,27095671,27133842,27646280,27956343,27979122,28236655,28260786,28470535,28479847,28504268,28678076,29550440,29679811,29679847,30251071,30792236,30858627,30893698,31102065,31740655,31774546,32209068,32275586,32500028,32639551,33040423,33175536,33195322,33244245,33375967,33543703,33883986,34164642,34263362,34411964,34884343,34986387,35460528,35931116,35959471,36166135,36631135,37158418,37322478,38088786,38545423,38701544,38953735,39085327,39527971,39649735,39893094,40053466,40320183,40652108,40968680,41369071,41591503,41649596,41940007,41954007,42198655,42399730,42472591,42889402,43177107,43399362,43453123,43539237,43957362,44003191,44804883,45080167,45371203,45582007,45610303,45827756,46023447,46089765,46107980,46627930,46744482,46834743,47579682,47973655,48237992,48277651,48624716,48638767,48947660,48948607,49162416,49355935,49732771,50249287,50474883,50638386,50879676,50971927,51281427,51457762,51798307,51832425,52255231,52992943,53245868,53272063,54267741,54688424,55064890,55101896,55241551,55287920,55307718,55329576,55914562,55953516,56102547,56117564,56256643,56468530,56598778,57003752,57192727,57302967,57506887,57568386,58074440,58305655,58431523,58737192,58770127,58900503,59035042,59218543,59227122,59242316,59299347,59518687,59531527,59925242,60494583,60561127,60600943,60675130,60806504,61524477,61579304,61989633,62075890,62104867,62198910,62245773,62482323,62675816,63099535,63782935,63959042,64129221,64563346,64921135,65333745,65534527,65905891,66077868,66079341,66345504,66512935,66761503,66800311,66962156,67194535,67196108,67253071,67762236,68271907,68407317,68770051,69168271,69200247,69276717,69463880,69543247,69689328,69690655,69740983,69811687,69966786,70510293,70914367,71366546,71465347,71566183,71729335,72049111,72494156,72731523,72810156,72888871,72945463,73127386,73243425,73599631,74295363,74300647,74333071,74442535,74491068,74530856,74638692,74650330,74685783,75158851,75719442,76473655,76491331,76539522,76935967,77023767,77036167,77554664,77556885,77638303,77905362,78126320,78146865,78198871,78400494,78578103,78638504,78857623,79704002,79741587,79815522,79978618,80579373,80633442,81079207,81200335,81496543,81567802,81676407,82098655,82727344,82880876,83220991,83356656,83605827,83628786,83847213,83940825,84346903,84631880,84753043,84760887,85487047,85676371,85720466,85873027,86075202,86391586,86638207,86804335,87248997,87831543,87892110,88172611,88214403,88301265,88468317,88802563,88815655,89331042,89361687,89511842,89536880,89580396,89592703,89743683,89766703,90108392,90152722,90438645,90823735,90856807,91184311,91212922,91285447,91370060,91768386,91877143,91937935,91979911,92329625,92621443,92791951,93068262,93273655,93427922,93496135,93570703,93751584,93776238,93871891,94188016,94210783,94585064,95208607,95210865,95274535,95496655,95653411,95826243,95927825,95994440,96204567,96467888,96606655,97440402,97453507,98242930,98343506,98518386,98534047,98602135,98753042,99403567,99457138,99459427,99975927,...,56866146561730440331073742595392166484730285585717350889808355377622292621109537339877274077118968671375980035398114335160144371201019120753206462403256031070049708891147785852596664911766273711456790169798296657420173558999655553194013387737328520571167605687814386460436849566398618462236896581750864459048562970713732350748447706293571052367112909020805615436447286322010073763206760272394316218297402479652884261194496876078873736087659900301564561620495330354174853008825903678112430580025486007004609934217898319822093587303140347472517233546013552743736388604166525769686223757068511378569391939885566037482763298870938564673231044346531902599010516722849664706864933977126901318848955150567438399260596922695099637114400235633399402121105589896797915133763948887620590740027627404933664429037722514245316262620722700850870452846156969943962868421488014765616855947545202690288967746857147079025395719507716635339925955686612445646135912861379992179954356977742729800022767017074821148828142214115874110531645648943445742656291887361677576405402918226036850342097455017104647961007222859379711378006128629302017418893568907442186707913490191376103252544388173766703111437849484280984074462810446305009781796345181503778845027334309097631716203077219557330981813422301311915989324876999071250858568328760926005581232641559658955154060943058098123655172180523298138412757881202414307959548059659048652972985231950333887638627108666479951334370809748390077300150496223060504528745709799293373991250751887678099554334128380419558554003061212725188594105596439551662107726574449021773625489586753824751003173376262095742369047102253492310124555812134692478160934598315563488035097267173441237860161694609347273395372679950659033603963479071652602730952206621105590891374137074903287039828739725715373453763629005067819919029854542502168742932051472370732744636797791582997151833700723076390940502826816129986399285160187418179739526037679178941372473023159546221381264325895750577770830769515587507754193811941738345491839332021234754356522871093153554195297822063800984858833874736577077918022027283230778531892073156381371360486425178255561140473105432830600447933210896318487739049116330476984846405050354248804664477421346563964719267504024941254140698544367096368342257558693119248682251065947145665482649348880150563588576432435752861794729377609174566806860123213366074814778032924742920699180029917037279481795198372105266130086498638297032748195635147202459281497206405168810901564576699848733588940786847751100558989150791512551903732813815031926817268360691676365456640836215735062170209269496759704650982831903146563986939947481581869711568706813505867080806495215167296642643331878333077319111678855706003908823290776091305168295825704126476462647467311681408239528999754881880850631172645257914919087969043577197334656822331023533267483969938579150432015215654839020739320662532129491689185169687866520514380534979165741956724192888350216584197137227896574261950660436505329940873846764498065188069991611241251132667099032830110329511294092754422905282817502742784950542917910171348584531197586126538568021006210165714001793002564633152821831021659303147672866048915062196066306620629913893926559166693537129823062845343541919776424057070925269781380813871294730114965035867935910171394721445447120241046132404652860707879334557769859739638014169902440795899211574813250552554490731458931094899914567734179636641466223126843073153170514856836422749356082920932323376553742391441185634787987148735680938211578729698452764600731787039952827160561350375528794100830159176074587262380489256362005213945083929318682954787420413371733885203736960750258024960551201064221067195379810807666117979214656378341563807424731647185210064318829256341067149470203801805323562474394684021681057126}
23874 466606557989155531450011194417999792792489439649114843042397820425320867120981: {119345,143214,405569,977153,1024733,1119869,1240564,1452593,1737473,1954142,2099416,2361843,2401073,2524814,2543069,2684993,2809934,3015869,3110333,3379742,3506979,3527284,3948974,4098244,4174975,4664369,4992893,5009970,5343968,5695553,5929373,5964250,6011964,6220142,6396413,6629633,6909233,7053976,7157100,7235069,7328093,7374593,7467569,7634240,7815256,7931969,7935723,8588520,8792163,9161088,9223924,9412673,9662085,9792004,10306224,10359796,10379933,10701569,11296574,11594502,11755613,12061444,12418334,12623153,12698414,12757336,12759869,13124093,13442369,14326276,14352003,14654942,15027869,15034648,15515283,15614273,15704369,16244273,16792395,16913979,17150836,17186333,17499569,17911888,18169469,18278644,18470575,18513579,18704093,18842116,18926513,18931335,19203736,19636913,19725569,19858493,20150874,20193424,20256833,20339416,20919293,21491969,21604203,21843713,22039975,22151069,22164690,22717602,22778356,22806267,22808369,22881843,23158193,23332913,23509214,23642336,24120856,24190495,24248093,24769469,24856253,24986369,25549373,25581316,25811139,25856635,26141044,26197313,26447970,26597628,27135963,27608894,27702173,27873533,27953763,28001969,28211168,28273048,28806843,28935364,29028594,29367473,29410013,29493364,29495069,30893873,31027962,31165636,31676174,31737564,31807179,32031869,32157953,32227107,33205853,33414833,33863851,33922648,34207133,34298776,34557850,34955069,35038013,35057524,35286653,35576369,35630335,35659073,35711054,35847595,36178456,36195869,36933963,36938050,37275124,37305496,37315934,37681048,38125313,38162979,38490295,38533553,38586123,39388253,39753473,39956093,40198973,40261335,40625035,40683869,40700763,40966193,41144836,41167613,41288369,41469420,41834942,41968683,42011393,42208243,42371933,42391179,42628094,42756402,42945424,43014955,43017114,43608833,43807613,43966493,44234048,44325660,44473742,44798513,44913895,45178648,45469469,45552856,46188354,46312334,46340547,46451969,46574414,46648516,46921793,47280704,47661819,47852371,47935793,48214159,48313602,48376930,48404942,48413379,48750042,49099073,49369469,49562369,49763304,49792983,49832093,49878283,50228414,50600573,50715569,50785048,50815135,50825979,50983613,51174833,51210850,51213053,51246963,51395043,51404033,51617946,52061995,52303742,52317953,52811069,52821134,52924673,53000369,53190792,53205691,53596142,53760244,53881891,53896674,54112094,54394973,54507569,54792067,54841339,55144253,55656494,55737627,55938676,55983717,56187869,56484893,56855453,56929469,56939534,57133179,57284695,57372893,57569476,57634975,57741533,57865816,57938023,58052316,58146113,58403069,58609816,58729742,59739844,59791133,59839641,59936573,60045569,60080199,60118193,60297490,60780895,60978162,61184575,61274942,61311869,61364596,61453020,61779713,62102813,62325976,62446324,62474394,62639873,63439576,63599595,63815069,64334103,64562174,64748827,64770113,65099043,65214499,65549888,65579069,65824433,65936043,66322142,66557335,67299844,67517848,67839568,67860331,68075054,68290973,68360530,68375236,68428733,68466463,68741634,68808691,68877370,69109900,69161970,69457853,69941895,70116723,70146955,70173953,70683293,70751069,71254690,71311742,71369523,71595569,71763869,71807534,71864753,71999153,72099869,72356988,72386426,72593050,72937074,73202993,73421490,73701533,73743624,73772768,74052895,74198273,74495453,74594369,74604688,74660273,74803396,75087869,75644993,75743069,75957579,76008130,76319514,76330013,76403956,76654973,76757848,76974130,77108573,77140913,77186643,77302493,77528369,77592833,78075293,78316256,78344770,78367003,78534004,78651869,78844843,78969496,79065796,79607069,79702193,79828913,79868802,80649473,80659444,81245693,81963569,82032636,82274369,82414514,82597335,82652844,82761931,82931880,82961577,82994364,83309764,83702695,83724413,83871843,83930274,83995135,84122369,84176346,84409402,84657331,84702795,84898167,85277873,85505628,85549853,85640369,86301953,86352579,86391869,86451773,86541569,86652494,86829850,86929853,87078833,87111660,87868291,88103824,88105788,88460672,88552563,88840683,88846303,88863474,89201969,89289533,89518039,89580893,89887863,89987453,90220814,90349648,90594353,90617695,91012695,91209756,91369469,91403054,91455233,91569473,91869883,92266996,92368956,92422193,92919104,93113835,93163570,93289048,93298365,93771569,94013724,95432369,95487233,95569469,95761073,95938563,96420226,96845019,96943330,96975364,97080208,97601969,97657900,98048962,98189054,98189633,98298130,98879153,99060484,99116573,99116802,99321424,99510833,99518256,99577934,99581044,99668033,99929393,99981569,...,85299219842595660496610613893088249727095428378576026334712533066433438931664306009815911115678453007063970053097171502740216556801528681129809693604884046605074563336721678778894997367649410567185185254697444986130260338499483329791020081605992780856751408531721579690655274349597927693355344872626296688572844456070598526122671559440356578550669363531208423154670929483015110644810140408591474327446103719479326391791745314118310604131489850452346842430742995531262279513238855517168645870038229010506914901326847479733140380954710521208775850319020329115604582906249788654529335635602767067854087909828349056224144948306407847009846566519797853898515775084274497060297400965690351978273432725851157598890895384042649455671600353450099103181658384845196872700645923331430886110041441107400496643556583771367974393931084051276305679269235454915944302632232022148425283921317804035433451620285720618538093579261574953009888933529918668469203869292069988269931535466614094700034150525612231723242213321173811165797468473415168613984437831042516364608104377339055275513146182525656971941510834289069567067009192943953026128340353361163280061870235287064154878816582260650054667156774226421476111694215669457514672694517772255668267541001463646447574304615829335996472720133451967873983987315498606876287852493141389008371848962339488432731091414587147185482758270784947207619136821803621461939322089488572979459477847925500831457940662999719927001556214622585115950225744334590756793118564698940060986876127831517149331501192570629337831004591819087782891158394659327493161589861673532660438234380130737126504760064393143613553570653380238465186833718202038717241401897473345232052645900760161856790242541914020910093059019925988550405945218607478904096428309931658386337061205612354930559743109588573060180645443507601729878544781813753253114398077208556099116955196687374495727750551084614586410754240224194979598927740281127269609289056518768412058709534739319332071896488843625866656246154273381261631290717912607518237758998031852131534784306639730331292946733095701477288250812104865616877033040924846167797838109734572057040729637767383341710709658149245900671899816344477731608573674495715477269607575531373206996716132019845947078901256037411881211047816550644552513386338039678873023376598920718498223974023320225845382864648653629292692094066413761850210290184820049112222167049387114381048770044875555919222692797558157899195129747957445549122293452720803688922245809607753216352346865049773100383411180271626650838483726187268827855599220722547890225902541037514548184961254323602593255313904245139556976474247854719845980409921222372804567353060220258800621209742822750944963964997817499615978667518283559005863234936164136957752443738556189714693971200967522112359293499632322821275946758967886872378631953565365796001985233496535299901225954907868725648022823482258531108980993798194237533777754531799780771570802468748612935086289332525324876295705841844861392925990654757994911310770146747097782104987416861876699000648549245165494266941139131634357924226254114177425814376865257022876796796379189807852031509315248571002689503846949729232746532488954721509299073372593294099459930944870840889838750040305694734594268015312879664636085606387904672071220806942095172447553801903865257092082168170680361569198606979291061819001836654789609457021254853661193848817362219875828831736097188396642349871851601269454962199334690264609729755772285254634124034124381398485064830613587161778452181980723103521407317368094547679146901097680559929240740842025563293191151245238764111880893570733884543007820917625893978024432181130620057600827805605441125387037440826801596331600793069716211499176968821984567512345711137097470777815096478243884511600724205305702707985343711592026032521585689}
23875 468248894000619079758330174043417459451901532722696395459594516482421687662663: {47746,190952,214821,1550705,1836989,1860846,2624270,2931213,3149124,3787221,4214901,4409105,4675972,5069613,5122805,5290926,5923461,6147366,6172229,6679960,6838349,7514955,8015952,8127053,8817470,8946375,8985041,9017946,9330213,9542800,9603893,9697589,9769070,10415021,10580964,10735650,11162669,11451360,11529905,11722884,12214784,12240005,12556829,12882780,12949745,13128677,13155317,13314821,13741632,13835886,14688006,15076805,15205454,15459336,15539694,15672902,15946670,16252742,16744757,16803269,16944861,17391753,17669246,17796989,17907845,17968574,18092166,18627501,18637406,18793310,18874193,19047621,19136004,19455221,20687044,20828294,21105749,21438545,21489414,21982413,22389860,22532774,22551972,22575761,22848305,22884293,23493422,23552645,24004670,24684772,24738917,25208966,25241780,25359389,25391054,25424270,25726254,26867832,26921213,27417966,27505361,28263174,28472945,28805604,29099486,29552920,29682317,29964302,30011429,30151070,30226311,30283397,30290136,30408356,30509124,31198193,31656149,31726733,31940942,31976645,32583569,32642309,32676305,32970917,33247035,33658001,33965894,34076403,34167534,34414852,34814606,35263821,35263960,35341310,35463504,36169205,36181284,36510734,36866705,37100654,37271684,37490021,37577246,38205134,38371974,38409124,38704792,38957045,39181889,39211566,39531317,39671955,39858749,39896442,40189997,40529726,41370616,41413341,42316752,42403310,42409572,42815774,42873470,42969476,43195541,43403046,43542891,43821905,43914494,43985861,44240046,44436917,45223070,46484621,46541943,46547534,46593905,46631870,46748454,47101310,47514261,47606346,47935214,49180037,49245284,50253533,50327441,50632589,50883972,50976221,51283589,51431045,51448164,51836775,52324373,52586286,52796942,53276561,53566581,53681780,54191342,54267684,54450197,54535229,55292560,55407075,55509629,55912686,55958244,55973901,56047997,56473310,56521572,56941070,56959694,57008536,57356152,58310645,58775093,59078117,59100880,59359622,59359694,59385521,59456273,59523701,60312101,60502142,61137053,61216181,61584472,61717254,61740557,61787396,62204130,62435909,62624573,62752413,63481310,63549092,63942141,64134603,64418136,64525671,64551172,65000056,65279102,65287949,66080846,66351072,66390644,66488490,66710613,66751934,67087406,67163117,67200305,67767972,68139989,68329284,68526724,68823928,69098309,69282531,69468501,69768686,69861621,69923345,69972774,70330733,70355441,70920341,70921056,71116673,71407229,71572241,71862232,71918942,71961845,72332270,72470403,72542333,72565395,72607413,72854129,73125063,73262270,73396661,73407653,74316836,74339333,74644956,74674805,74823389,75165197,75342621,75805013,76177572,76705745,76816275,76819313,77090846,77403088,77426919,77907470,78057905,78170654,78455613,79055942,79231701,79299470,79551989,79786188,80106932,80394213,80525477,80640366,80684981,80688941,80845011,81168141,81304216,81627917,81937360,82504721,82738142,83183006,83299192,83484741,83880014,83908014,84124805,84397310,84799460,84945182,85206449,85409301,85469045,85778804,86141393,86354214,86387375,86772221,86798724,86906246,87078474,87357077,87914724,88006382,88094613,88339349,88384913,88810061,89296109,89609766,90160334,90446235,90742406,90864461,90889589,91164014,91220606,91467243,91655512,91912413,91987697,92046894,92179530,92215960,93118109,93255860,93488964,93504245,93669486,93711591,94072349,94857389,95159364,95504945,95820881,95947310,96475984,96555302,96843261,97053989,97249432,97277534,97566917,97895320,97897214,98167505,98324832,98542373,98711870,98832245,99411941,99465542,99483213,...,113732293123460880662147485190784332969460571171434701779616710755244585242219074679754548154237937342751960070796228670320288742402038241506412924806512062140099417782295571705193329823532547422913580339596593314840347117999311106388026775474657041142335211375628772920873699132797236924473793163501728918097125941427464701496895412587142104734225818041611230872894572644020147526413520544788632436594804959305768522388993752157747472175319800603129123240990660708349706017651807356224861160050972014009219868435796639644187174606280694945034467092027105487472777208333051539372447514137022757138783879771132074965526597741877129346462088693063805198021033445699329413729867954253802637697910301134876798521193845390199274228800471266798804242211179793595830267527897775241181480055254809867328858075445028490632525241445401701740905692313939887925736842976029531233711895090405380577935493714294158050791439015433270679851911373224891292271825722759984359908713955485459600045534034149642297656284428231748221063291297886891485312583774723355152810805836452073700684194910034209295922014445718759422756012257258604034837787137814884373415826980382752206505088776347533406222875698968561968148925620892610019563592690363007557690054668618195263432406154439114661963626844602623831978649753998142501717136657521852011162465283119317910308121886116196247310344361046596276825515762404828615919096119318097305945970463900667775277254217332959902668741619496780154600300992446121009057491419598586747982501503775356199108668256760839117108006122425450377188211192879103324215453148898043547250979173507649502006346752524191484738094204506984620249111624269384956321869196631126976070194534346882475720323389218694546790745359901318067207926958143305205461904413242211181782748274149806574079657479451430746907527258010135639838059709085004337485864102944741465489273595583165994303667401446152781881005653632259972798570320374836359479052075358357882744946046319092442762528651791501155541661539031175015508387623883476690983678664042469508713045742186307108390595644127601969717667749473154155836044054566461557063784146312762742720972850356511122280946210865661200895866421792636975478098232660953969692810100708497609328954842693127929438535008049882508281397088734192736684515117386238497364502131894291330965298697760301127177152864871505723589458755218349133613720246426732149629556065849485841398360059834074558963590396744210532260172997276594065496391270294404918562994412810337621803129153399697467177881573695502201117978301583025103807465627630063853634536721383352730913281672431470124340418538993519409301965663806293127973879894963163739423137413627011734161612990430334593285286663756666154638223357711412007817646581552182610336591651408252952925294934623362816479057999509763761701262345290515829838175938087154394669313644662047066534967939877158300864030431309678041478641325064258983378370339375733041028761069958331483913448385776700433168394274455793148523901320873010659881747693528996130376139983222482502265334198065660220659022588185508845810565635005485569901085835820342697169062395172253077136042012420331428003586005129266305643662043318606295345732097830124392132613241259827787853118333387074259646125690687083839552848114141850539562761627742589460229930071735871820342789442890894240482092264809305721415758669115539719479276028339804881591798423149626501105108981462917862189799829135468359273282932446253686146306341029713672845498712165841864646753107484782882371269575974297471361876423157459396905529201463574079905654321122700751057588201660318352149174524760978512724010427890167858637365909574840826743467770407473921500516049921102402128442134390759621615332235958429312756683127614849463294370420128637658512682134298940407603610647124948789368043362114252}
23876 469896973167604884802959018428272911485768787712037454027194777039063771331321: {71619,167083,238690,286428,453283,811138,1024819,1954306,2049466,2239738,2448619,2481128,2590603,2791269,2905186,3474946,3723883,3908284,3936405,4198832,4711723,4723686,4802146,5049628,5086138,5369986,5619868,5844965,6031738,6220666,6536923,6676819,6759484,7013958,7054568,7375219,7897948,7932643,7936389,8196488,8349950,8627803,8905363,9221049,9328738,9985786,10019940,10687936,11391106,11858746,11928500,12023928,12440284,12792826,13226205,13259266,13526919,13818466,14107952,14124283,14314200,14470138,14653605,14656186,14749186,14935138,15268480,15615619,15630512,15863938,15871446,16103475,16425403,16963819,17177040,17584326,18322176,18447848,18825346,18972619,19324170,19584008,19771603,20302819,20612448,20719592,20753829,20759866,21403138,22032009,22593148,22808181,23189004,23309541,23509353,23511226,23920005,24122888,24379113,24380683,24836668,24901819,25246306,25396828,25514672,25519738,25858805,26248186,26503869,26884738,26952861,27138249,27956109,27987325,28004443,28189965,28652552,28704006,29309884,29412619,29922523,30055738,30069296,30855965,31030566,31228546,31242441,31408738,31552225,31950619,32076763,32234121,32488546,33584790,33799161,33827958,33866693,34301672,34372666,34999138,35240133,35579563,35823776,36007005,36199289,36338938,36557288,36941150,37027158,37408186,37684232,37813449,37853026,37862670,38010445,38086581,38136405,38169619,38407472,38589381,38659363,38781619,39273826,39391819,39451138,39716986,40301748,40386848,40513666,40678832,41126949,41211619,41332363,41838586,42394761,42415819,42983938,43018565,43208406,43649229,43687426,44079950,44089603,44302138,44329380,44946453,45226605,45435204,45513043,45556712,45612534,45616738,45763686,46316386,46456243,46589605,46665826,47018428,47284672,47745619,47911413,48011405,48241712,48380990,48496186,49374043,49538938,49712506,49882469,49972738,50186633,50528563,50948841,51098746,51103123,51162632,51217819,51251301,51332443,51622278,51713270,52221909,52282088,52394626,52895940,53011965,53195256,53711845,53886413,54271926,54512683,54766101,55186819,55217788,55404346,55650981,55747066,55907526,56003938,56365869,56422336,56546096,56860819,56875049,56971843,57304483,57307701,57415219,57525883,57557961,57613686,57870728,58057188,58734946,58817349,58820026,58986728,58990138,59844663,60051283,60220937,60794589,61137403,61556605,61787746,62055924,62331272,62879453,62967283,63352348,63475128,63604965,63614358,63821203,64063738,64223661,64310205,64315906,64454214,64754261,65104569,65620483,65871741,66321673,66360069,66411706,66829666,67102225,67727702,67834605,67845296,68125219,68414266,68472209,68597552,68641819,69115700,69821301,69910138,69947805,70076026,70115048,70122681,70180819,70573306,70651965,70791883,71141189,71152738,71260670,71318146,71409519,71422108,71602603,71695190,71804563,71902821,72356912,72391738,72886793,73110283,73708819,73867926,73876100,74550248,74610992,74631868,75095323,75193819,75362096,75758749,75783283,76250626,76325958,76521341,76980590,77051563,77067106,77148619,77172246,77234245,78776506,78879429,79195413,79436365,79506946,79912186,80198573,80397946,80405683,80522670,80688965,81065923,81250070,81287013,81367738,81401526,81932386,82003003,82282723,82289672,82335226,82576738,82938840,82988305,83669884,83763619,83869029,83937366,84022786,84416486,84709965,84743866,84782358,85093253,85256188,85411605,85439541,85512804,85658405,85890848,86029910,86034228,86400763,87217666,87615226,87932986,88184203,88468096,88651320,88713619,88947484,89039433,89039541,89240443,89502883,89590219,89597026,89827790,90357296,90753213,90938938,91105712,91407643,92376708,92575881,92615549,92624668,92681094,92896045,92903938,93024619,93148828,93180269,93297032,93306195,93781483,93843586,94561408,94617017,95221965,95323638,95704742,95871586,96017083,96428318,96627204,96753860,96809884,96826758,97074763,97500084,97918653,98198146,98205737,98738938,98757619,99121269,99124738,99526608,99585966,99664186,99732735,99756566,...,170598439685191320993221227786176499454190856757152052669425066132866877863328612019631822231356906014127940106194343005480433113603057362259619387209768093210149126673443357557789994735298821134370370509394889972260520676998966659582040163211985561713502817063443159381310548699195855386710689745252593377145688912141197052245343118880713157101338727062416846309341858966030221289620280817182948654892207438958652783583490628236621208262979700904693684861485991062524559026477711034337291740076458021013829802653694959466280761909421042417551700638040658231209165812499577309058671271205534135708175819656698112448289896612815694019693133039595707797031550168548994120594801931380703956546865451702315197781790768085298911343200706900198206363316769690393745401291846662861772220082882214800993287113167542735948787862168102552611358538470909831888605264464044296850567842635608070866903240571441237076187158523149906019777867059837336938407738584139976539863070933228189400068301051224463446484426642347622331594936946830337227968875662085032729216208754678110551026292365051313943883021668578139134134018385887906052256680706722326560123740470574128309757633164521300109334313548452842952223388431338915029345389035544511336535082002927292895148609231658671992945440266903935747967974630997213752575704986282778016743697924678976865462182829174294370965516541569894415238273643607242923878644178977145958918955695851001662915881325999439854003112429245170231900451488669181513586237129397880121973752255663034298663002385141258675662009183638175565782316789318654986323179723347065320876468760261474253009520128786287227107141306760476930373667436404077434482803794946690464105291801520323713580485083828041820186118039851977100811890437214957808192856619863316772674122411224709861119486219177146120361290887015203459757089563627506506228796154417112198233910393374748991455501102169229172821508480448389959197855480562254539218578113037536824117419069478638664143792977687251733312492308546762523262581435825215036475517996063704263069568613279460662585893466191402954576501624209731233754066081849692335595676219469144114081459275534766683421419316298491801343799632688955463217147348991430954539215151062746413993432264039691894157802512074823762422095633101289105026772676079357746046753197841436996447948046640451690765729297307258585384188132827523700420580369640098224444334098774228762097540089751111838445385595116315798390259495914891098244586905441607377844491619215506432704693730099546200766822360543253301676967452374537655711198441445095780451805082075029096369922508647205186510627808490279113952948495709439691960819842444745609134706120440517601242419485645501889927929995634999231957335036567118011726469872328273915504887477112379429387942401935044224718586999264645642551893517935773744757263907130731592003970466993070599802451909815737451296045646964517062217961987596388475067555509063599561543141604937497225870172578665050649752591411683689722785851981309515989822621540293494195564209974833723753398001297098490330988533882278263268715848452508228354851628753730514045753593592758379615704063018630497142005379007693899458465493064977909443018598146745186588198919861889741681779677500080611389469188536030625759329272171212775809344142441613884190344895107603807730514184164336341360723138397213958582123638003673309579218914042509707322387697634724439751657663472194376793284699743703202538909924398669380529219459511544570509268248068248762796970129661227174323556904363961446207042814634736189095358293802195361119858481481684051126586382302490477528223761787141467769086015641835251787956048864362261240115201655611210882250774074881653603192663201586139432422998353937643969135024691422274194941555630192956487769023201448410611405415970687423184052065043171378}
23877 471550815443378603407414215155654069635228840136130500237720810369730105155635: {95492,358035,381904,429642,1216707,2170987,2931459,3074199,3101410,3359607,3673978,3721692,4357779,4885355,5212419,5248540,5862426,6172747,6298248,6312035,7024835,7085529,7171927,7203219,7574442,7629207,8054979,8429802,8449355,8818210,9047607,9330999,9351944,9604699,9872435,10139226,10245610,10520937,10581852,11460787,11748683,11846922,12294732,12314423,12344458,12524925,12606599,13359920,13676698,13882979,13993107,14034103,14910625,14978679,15029910,15550355,16031904,16141867,16254106,16601843,17086659,17136007,17634940,17788119,17892750,17970082,18035892,18129643,18660426,19026587,19085600,19189239,19207786,19395178,19538140,19888899,20031779,20727699,20830042,21107527,21161928,21471300,21705207,21984279,22123779,22325338,22402707,22455659,22902720,23059810,23445768,23795907,23807169,23872403,24429568,24480010,25070983,25113658,25765560,25899490,26257354,26310634,26376489,26629642,27483264,27671772,28238019,28241435,28713323,28986255,29013419,29376012,29524979,29970187,30013963,30153610,30410908,30918672,31045835,31079388,31139799,31345804,31746035,31815979,31893340,31987627,32104707,32440763,32505484,32973703,33489514,33606538,33889722,34783506,35266839,35338492,35593978,35815690,35937148,36184332,36637355,37255002,37274812,37586620,37748386,37869459,38095242,38272008,38279607,38910442,39372279,39862123,40327107,40702979,41374088,41656588,42211498,42877090,42978828,43056009,43206707,43791523,43964826,44767303,44779720,45065548,45083607,45103944,45151522,45617987,45696610,45746827,45768586,45841403,46545849,46639703,46842819,46986844,47105290,47113107,48009340,48732819,49369544,49477834,50377185,50417932,50483560,50636887,50718778,50741937,50782108,50848540,51290723,51452508,51558999,51613387,52498707,53735664,53798299,53842426,54508407,54539863,54835932,55010722,55178219,55411725,55540737,56112279,56526348,56779539,56794005,56945890,57611208,58198972,58205383,58441367,58773035,58910739,58933267,59105840,59176707,59364634,59390539,59575479,59928604,60022858,60302140,60452622,60566794,60571379,60580272,60770499,60816712,61018248,61350667,61702859,62115383,62356579,62396386,62641879,62757879,63312298,63453466,63881884,63953290,64194667,64475907,64812609,65167138,65231467,65284618,65352610,65531139,65941834,66119925,66453207,66494070,66742643,67316002,67931788,68152806,68283479,68335068,68418801,68425107,68472727,68645529,68829704,69022235,69453403,69474579,69554963,69629212,69663467,69998739,70527642,70527920,70682620,70927008,72003463,72338410,72362568,72571485,72744279,73021468,73668323,73733410,74010859,74201308,74308407,74543368,74568759,74585779,74959107,74980042,75154492,75811399,76410268,76648119,76743948,76818248,76853243,77409584,77433417,77569905,77914090,78363778,78423132,78591939,79062634,79190435,79247387,79343910,79717498,79792884,80379994,80831459,81059452,81407889,81425203,81634903,82115363,82741232,82826682,83106519,83118139,83620599,83861289,84005907,84633504,84806620,84819144,85213627,85631548,85746940,85938952,86391082,86394625,86420529,86652803,86754499,86806092,87085782,87643810,87828988,87971722,88102419,88230039,88480092,88485207,88873834,89277635,89382539,90446140,90981767,91199747,92345125,92637047,92681619,92969242,93083886,93095068,93187810,93263740,93289835,93381703,93496908,93586547,94015987,94080427,94202620,95028522,95212692,95421537,95870428,96095607,96473859,96681321,97892683,98360074,98490568,99308603,99476183,99617559,...,255897659527786981489831841679264749181286285135728079004137599199300316794992918029447733347035359021191910159291514508220649670404586043389429080814652139815223690010165036336684992102948231701555555764092334958390781015498449989373060244817978342570254225595164739071965823048793783080066034617878890065718533368211795578368014678321069735652008090593625269464012788449045331934430421225774422982338311158437979175375235942354931812394469551357040527292228986593786838539716566551505937610114687031520744703980542439199421142864131563626327550957060987346813748718749365963588006906808301203562263729485047168672434844919223541029539699559393561695547325252823491180892202897071055934820298177553472796672686152127948367014801060350297309544975154535590618101937769994292658330124323322201489930669751314103923181793252153828917037807706364747832907896696066445275851763953412106300354860857161855614280737784724859029666800589756005407611607876209964809794606399842284100102451576836695169726639963521433497392405420245505841953313493127549093824313132017165826539438547576970915824532502867208701201027578831859078385021060083489840185610705861192464636449746781950164001470322679264428335082647008372544018083553316767004802623004390939342722913847488007989418160400355903621951961946495820628863557479424167025115546887018465298193274243761441556448274812354841622857410465410864385817966268465718938378433543776502494373821988999159781004668643867755347850677233003772270379355694096820182960628383494551447994503577711888013493013775457263348673475183977982479484769585020597981314703140392211379514280193179430840660711960140715395560501154606116151724205692420035696157937702280485570370727625742062730279177059777965651217835655822436712289284929794975159011183616837064791679229328765719180541936330522805189635634345441259759343194231625668297350865590062123487183251653253843759232262720672584938796783220843381808827867169556305236176128604217957996215689466530877599968738462820143784893872153737822554713276994095556394604352919919190993878840199287104431864752436314596850631099122774538503393514329203716171122188913302150025132128974447737702015699449033433194825721023487146431808822726594119620990148396059537841236703768112235643633143449651933657540159014119036619070129796762155494671922069960677536148593945960887878076282199241285550630870554460147336666501148161343143146310134626667757668078392674473697585389243872336647366880358162411066766737428823259649057040595149319301150233540814879952515451178561806483566797662167643670677707623112543644554883762970807779765941712735418670929422743564159537941229763667118413702059180660776401863629228468252834891894993452498847936002554850677017589704808492410873257331215668569144081913602902566337077880498896968463827840276903660617135895860696097388005955700489605899703677864723606176944068470446775593326942981394582712601333263595399342314712407406245838805258867997575974628887117525534584178777971964273984733932310440241293346314962250585630097001945647735496482800823417394903073772678762342532277443130595771068630390389137569423556094527945745713008068511540849187698239597466864164527897220117779882298379792834612522669516250120917084203782804045938638993908256819163714016213662420826285517342661405711595771276246504512041084707595820937873185457005509964368828371063764560983581546452086659627486495208291565189927049615554803808364886598004070793829189267316855763902372102373144195455194491840761485335356545942169310564221952104283643037440703293041679787722222526076689879573453735716292335642680712201653629023462752877681934073296543391860172802483416816323376161112322480404788994802379209148634497530906465953702537037133411292412333445289434731653534802172615917108123956031134776078097564757067}
23878 473210440850079019237948144913554175734813581797192882874849090267948464302426: {119365,143238,334166,477380,572856,644463,906566,1120057,1405321,1622276,2049638,2117221,3110857,3252517,3908612,4098932,4479476,4524217,4652115,4897238,4962256,5181206,5510967,5582538,5810372,5930377,6350821,6560675,6949892,7329337,7447766,7468837,7816568,7872810,8165257,8182951,8397664,8793639,9423446,9447372,9604292,9829321,10099256,10105657,10172276,10739972,10795237,11208121,11239736,11361663,11689930,11894821,12063476,12168997,12441332,12644703,12989797,13073846,13227315,13353638,13518968,13671817,13944121,14027916,14109136,14750438,15208839,15368415,15707077,15795896,15865286,15872778,16392976,16651321,16699900,17255606,17592037,17770383,17810726,18395557,18442098,18516687,18657476,18929797,19329721,19728997,19971572,20039880,20515047,21375872,21583717,22043675,22242697,22374277,22544865,22782212,23293321,23717492,23857000,24047856,24208837,24381159,24422675,24860617,24880568,25250821,25585652,26158777,26452410,26518532,26805157,26839125,26934217,26955123,27053838,27636932,27990639,28215904,28248566,28477321,28628400,28811679,28940276,29092767,29307210,29312372,29498372,29500297,29870276,30536960,30772537,31231238,31245063,31261024,31658821,31727876,31742892,32206950,32850806,33169957,33295417,33488007,33796537,33927638,34354080,34589715,35044297,35168652,35665477,35789497,36037321,36202327,36644352,36720015,36895696,37650692,37670487,37945238,38013635,38132197,38648340,38849235,39168016,39182255,39386031,39465951,39476617,39543206,39866675,39944463,39963337,40605638,40631855,40691257,41224896,41439184,41507658,41519732,41778277,42739621,42806276,43198351,43696357,44064018,44173115,44291977,44529721,44921435,45186296,45230415,45616362,45950137,46378008,46538917,46593515,46619082,46983275,47018706,47022452,47840010,48245776,48758226,48761366,48992137,49673336,49802821,49803638,50234271,50409807,50492612,50724997,50793656,50834583,51029344,51039476,51717610,51756937,52070735,52175259,52496372,52669321,53007738,53010277,53214623,53390967,53723535,53769476,53905722,54029257,54276498,55490821,55882503,55912218,55974650,56008886,56331935,56379930,56384197,56622579,56940217,57142863,57162121,57305104,57408012,57715621,58365663,58597477,58619768,58733555,58817221,58825238,59365321,59845046,60011675,60111476,60129637,60138592,60225991,60781957,61539721,61711930,61863397,62061132,62457092,62484882,62616121,62817476,63022415,63104450,63317247,63477635,63560675,63901238,64153526,64217221,64315635,64468242,64747321,64977092,65225447,65947239,66327239,67058377,67169580,67215967,67598322,67655916,67727283,67733386,68407621,68544915,68603344,68652879,68745332,69129097,69998276,70480266,70657935,70764937,71159126,71647552,72014010,72398578,72677876,72683557,72748715,73114576,73284037,73882300,73981321,74054316,74216751,74279077,74675077,74816372,74910755,75196583,75368464,75377675,75626898,75660037,75706052,75725340,75765107,76020890,76078167,76173162,76272810,76339238,76527763,76814944,77178762,77318726,77563238,77608357,78187237,78379621,78380159,78547652,78783638,78902276,79337221,79433972,79852355,80603496,80763639,80773696,81027332,81357664,81512377,81699721,82253898,82423238,82516083,82664726,82910437,83608943,83677172,84671543,84749317,84789522,84831638,84914735,85418835,85838821,85967876,86019397,86037130,86179247,86416812,86469577,86559397,87036515,87298458,87374852,88159900,88179206,88353275,88604276,88658760,89046951,89533067,89892906,90034287,90440197,90453210,90678933,90850191,90870408,91026086,91113424,91225068,91233476,91276835,91527372,91560121,92632772,92667877,92751635,92912486,93179210,93259321,93331652,93427657,93594579,93930937,93943115,94036856,94514821,94569344,94929721,94968447,95180199,95491238,95507557,95512835,95822826,95929935,96022810,96408457,96483424,96761980,96992372,97750707,97926927,97944037,98028915,98748086,98912751,99077876,99425012,99741105,99764938,99945476,...,341196879370382641986442455572352998908381713514304105338850132265733755726657224039263644462713812028255880212388686010960866227206114724519238774419536186420298253346886715115579989470597642268740741018789779944521041353997933319164080326423971123427005634126886318762621097398391710773421379490505186754291377824282394104490686237761426314202677454124833692618683717932060442579240561634365897309784414877917305567166981256473242416525959401809387369722971982125049118052955422068674583480152916042027659605307389918932561523818842084835103401276081316462418331624999154618117342542411068271416351639313396224896579793225631388039386266079191415594063100337097988241189603862761407913093730903404630395563581536170597822686401413800396412726633539380787490802583693325723544440165764429601986574226335085471897575724336205105222717076941819663777210528928088593701135685271216141733806481142882474152374317046299812039555734119674673876815477168279953079726141866456378800136602102448926892968853284695244663189873893660674455937751324170065458432417509356221102052584730102627887766043337156278268268036771775812104513361413444653120247480941148256619515266329042600218668627096905685904446776862677830058690778071089022673070164005854585790297218463317343985890880533807871495935949261994427505151409972565556033487395849357953730924365658348588741931033083139788830476547287214485847757288357954291917837911391702003325831762651998879708006224858490340463800902977338363027172474258795760243947504511326068597326004770282517351324018367276351131564633578637309972646359446694130641752937520522948506019040257572574454214282613520953860747334872808154868965607589893380928210583603040647427160970167656083640372236079703954201623780874429915616385713239726633545348244822449419722238972438354292240722581774030406919514179127255013012457592308834224396467820786749497982911002204338458345643016960896779918395710961124509078437156226075073648234838138957277328287585955374503466624984617093525046525162871650430072951035992127408526139137226558921325171786932382805909153003248419462467508132163699384671191352438938288228162918551069533366842838632596983602687599265377910926434294697982861909078430302125492827986864528079383788315605024149647524844191266202578210053545352158715492093506395682873992895896093280903381531458594614517170768376265655047400841160739280196448888668197548457524195080179502223676890771190232631596780518991829782196489173810883214755688983238431012865409387460199092401533644721086506603353934904749075311422396882890191560903610164150058192739845017294410373021255616980558227905896991418879383921639684889491218269412240881035202484838971291003779855859991269998463914670073134236023452939744656547831009774954224758858775884803870088449437173998529291285103787035871547489514527814261463184007940933986141199604903819631474902592091293929034124435923975192776950135111018127199123086283209874994451740345157330101299505182823367379445571703962619031979645243080586988391128419949667447506796002594196980661977067764556526537431696905016456709703257507461028091507187185516759231408126037260994284010758015387798916930986129955818886037196293490373176397839723779483363559355000161222778938377072061251518658544342425551618688284883227768380689790215207615461028368328672682721446276794427917164247276007346619158437828085019414644775395269448879503315326944388753586569399487406405077819848797338761058438919023089141018536496136497525593940259322454348647113808727922892414085629269472378190716587604390722239716962963368102253172764604980955056447523574282935538172031283670503575912097728724522480230403311222421764501548149763307206385326403172278864845996707875287938270049382844548389883111260385912975538046402896821222810831941374846368104130086342756}
23879 474875869478954229637349959361294902335825780496605538422209297091473708687974: {23879,190984,214857,501249,596725,716070,763808,859284,1359849,2027845,2433414,2886697,3074457,4341974,4885765,5123665,5599345,5862918,6148398,6202820,6719214,6839497,7262965,7345857,7347956,7443384,7771809,8373807,8687365,8715558,8836849,9699217,9770710,9834769,10424838,10497080,10745977,11171649,11724852,11749669,11809215,11829097,12005365,12345494,12558937,12596496,12607657,12624070,12715345,13130881,13424965,13821409,14049670,14135169,14171058,14343854,14406438,14553409,15079345,15148884,15258414,15551665,15892609,16109958,16407157,16859604,16898710,17411689,17534895,17541337,17636420,18095214,18555001,18661998,18703888,19209398,19610769,19744870,20030457,20269969,20278452,20491220,20672641,20874875,21041874,21163704,21265009,21413281,21770497,22125657,22921574,23321845,23497366,23551057,23693844,23797929,23809167,24589464,24628846,24681637,24688916,24964465,25049850,25213198,25551349,25883409,26405137,26680921,26716089,26719840,27353396,27663147,27765958,27966697,27986214,28068206,28477765,29522149,29646865,29821250,29957358,30059820,31100710,31982065,32063808,32091361,32283734,32508212,33148165,33166177,33203686,34173318,34272014,34546165,34678057,34893157,35269880,35576238,35785500,35940164,35968549,36071784,36106117,36175345,36259286,36640465,36658849,36872965,37320852,37337845,38053174,38171200,38378478,38415572,38790356,38875441,39076280,39538009,39659845,39678615,39777798,40063558,40580757,40797637,41455398,41660084,42082741,42215054,42323856,42372849,42942600,43410414,43464169,43510081,43960815,43968558,44014309,44247558,44444449,44650676,44805414,44911318,45382657,45805440,46119620,46643641,46650229,46846857,46891536,47063365,47160817,47591814,47614338,47744806,48077569,48289849,48310425,48651049,48859136,48960020,49276209,49745377,50141966,50227316,50891457,50984809,51292297,51295057,51531120,51798980,51811441,51899665,52514708,52621268,52752978,53259284,53507845,54966528,55119649,55343544,56270857,56476038,56482870,56917857,57207169,57426646,57972510,58026838,58752024,58778065,59049958,59314809,59533729,59940374,60027926,60307220,60616309,60821816,60908457,61327141,61708057,61837344,62091670,62120641,62158776,62261487,62279598,62635177,62691608,63115765,63492070,63631958,63786680,63799345,63975254,64209414,64881526,65010968,65620465,65922529,65947406,66096027,66778357,66817189,66979028,67211845,67213076,67779444,68424543,69185737,69567012,69669349,69829441,69928623,70528059,70533678,70676984,70932289,71187956,71584357,71631380,71760015,71874296,72368664,73137339,73142049,73274710,73409089,73674529,74319409,74351857,74510004,74549624,74705457,74738569,75045301,75139345,75173240,75496772,75738918,76190484,76544016,76559214,76859737,77576415,77657989,77820884,77859169,78071365,78218629,78521845,78744558,78748897,78877669,79290457,79511607,79565497,79724246,80051929,80588497,80654214,80698657,80858583,81221365,81405958,81414747,82282249,82712041,82748176,83313176,83868327,83961975,84013329,84422996,84569895,84774457,85698217,85754180,85894801,85931665,85957656,86112018,86413414,87229417,87497845,87583046,87929652,88194889,88237857,88570609,88720117,89534606,89559440,89767569,90108481,90131096,90167214,90207888,90303044,90847345,90879769,90989449,91235974,91393220,91493654,91537172,91682806,91900357,92003269,92352875,92567895,92837041,93091698,93279406,93520465,93594469,93685638,93727323,93895609,93973688,94210580,94226214,94417957,94632565,94656675,95851857,95980249,96018680,96230289,96631129,96702363,97045429,97465638,97478209,98184565,98627845,98739088,98955668,99292465,99316969,99428689,...,511795319055573962979663683358529498362572570271456158008275198398600633589985836058895466694070718042383820318583029016441299340809172086778858161629304279630447380020330072673369984205896463403111111528184669916781562030996899978746120489635956685140508451190329478143931646097587566160132069235757780131437066736423591156736029356642139471304016181187250538928025576898090663868860842451548845964676622316875958350750471884709863624788939102714081054584457973187573677079433133103011875220229374063041489407961084878398842285728263127252655101914121974693627497437498731927176013813616602407124527458970094337344869689838447082059079399118787123391094650505646982361784405794142111869640596355106945593345372304255896734029602120700594619089950309071181236203875539988585316660248646644402979861339502628207846363586504307657834075615412729495665815793392132890551703527906824212600709721714323711228561475569449718059333601179512010815223215752419929619589212799684568200204903153673390339453279927042866994784810840491011683906626986255098187648626264034331653078877095153941831649065005734417402402055157663718156770042120166979680371221411722384929272899493563900328002940645358528856670165294016745088036167106633534009605246008781878685445827694976015978836320800711807243903923892991641257727114958848334050231093774036930596386548487522883112896549624709683245714820930821728771635932536931437876756867087553004988747643977998319562009337287735510695701354466007544540758711388193640365921256766989102895989007155423776026986027550914526697346950367955964958969539170041195962629406280784422759028560386358861681321423920281430791121002309212232303448411384840071392315875404560971140741455251484125460558354119555931302435671311644873424578569859589950318022367233674129583358458657531438361083872661045610379271268690882519518686388463251336594701731180124246974366503306507687518464525441345169877593566441686763617655734339112610472352257208435915992431378933061755199937476925640287569787744307475645109426553988191112789208705839838381987757680398574208863729504872629193701262198245549077006787028658407432342244377826604300050264257948895475404031398898066866389651442046974292863617645453188239241980296792119075682473407536224471287266286899303867315080318028238073238140259593524310989343844139921355072297187891921775756152564398482571101261741108920294673333002296322686286292620269253335515336156785348947395170778487744673294733760716324822133533474857646519298114081190298638602300467081629759905030902357123612967133595324335287341355415246225087289109767525941615559531883425470837341858845487128319075882459527334236827404118361321552803727258456936505669783789986904997695872005109701354035179409616984821746514662431337138288163827205805132674155760997793936927655680553807321234271791721392194776011911400979211799407355729447212353888136940893551186653885962789165425202666527190798684629424814812491677610517735995151949257774235051069168357555943928547969467864620880482586692629924501171260194003891295470992965601646834789806147545357524685064554886261191542137260780778275138847112189055891491426016137023081698375396479194933728329055794440235559764596759585669225045339032500241834168407565608091877277987816513638327428032427324841652571034685322811423191542552493009024082169415191641875746370914011019928737656742127529121967163092904173319254972990416583130379854099231109607616729773196008141587658378534633711527804744204746288390910388983681522970670713091884338621128443904208567286074881406586083359575444445052153379759146907471432584671285361424403307258046925505755363868146593086783720345604966833632646752322224644960809577989604758418297268995061812931907405074074266822584824666890578869463307069604345231834216247912062269552156195129514134}
23880 476547121490598637150214310095391870710496990195324785055114681907484495465385: {167111,238730,262559,286476,548711,668332,954760,1074105,1120151,1145712,1262831,1288926,1452959,1595471,1813132,1880279,2240114,2543711,2685671,2810642,3016631,3244552,3252791,3299999,3650121,4099276,4234442,4524599,4571591,4994159,5930879,6071111,6221714,6398039,6505034,6512961,6538031,6631319,7376471,7469471,7753525,7794719,7817224,8197864,8212319,8794377,8958952,8999351,9048434,9184945,9222597,9304230,9794476,9876239,9924512,10078821,10152551,10362412,10520519,10842071,11021934,11165076,11620744,11860754,11895839,12215711,12626399,12701642,12763151,13073337,13121350,13263959,13672991,13899784,13990679,14656065,14658674,14895532,14937674,15167231,15633136,15637257,15708431,15745620,15843551,16023599,16330514,16365902,16795328,17587278,18518241,18664439,18846892,18894744,18931439,18936105,18975911,19064831,19208584,19331399,19642031,19658642,19775039,19863671,20173631,20198512,20211314,20344552,20394791,20836511,21074505,21101159,21256587,21479944,21497591,21515781,21590474,21609657,22045525,22416242,22479472,22723326,22887621,23076839,23295359,23339039,23379860,23789642,24126952,24164937,24254471,24337994,24384959,24882664,24906191,24992951,25123031,25289406,25348065,25614025,25685879,25979594,26147692,26204231,26419871,26454630,26592239,26707276,26807519,27037936,27142821,27237479,27343634,27838079,27888242,27992997,28009391,28055832,28218272,28479839,28814097,29500876,29502911,29617305,30417678,30736830,30861145,31414154,31450919,31562811,31591792,31730572,31745556,32040431,32166551,32292599,32460551,32785952,32963639,33214751,33302642,33340199,33399800,33549119,33799559,34191745,34216319,34382361,34511212,35184074,35246049,35540766,35585951,35621452,35668679,35792711,35834039,36081839,36791114,36884196,36943269,37033374,37314952,37574775,37819797,37859594,37890239,38135639,38176511,38380751,38659442,38666351,39457994,39480191,39520799,39764279,39943144,40079760,40635265,41030094,41098271,41299631,41540999,41648937,41979321,42102309,42751744,42783479,43167434,43501391,43740119,44087350,44097671,44335679,44485394,44533799,44731875,44748554,44925205,44936037,45008471,45089730,45363719,45564424,45993671,46307879,46543199,46582391,46586642,46651065,46778231,47286479,47434984,47714000,47832311,48019465,48095712,48417674,48425601,48487945,48762318,48845350,48996671,49035359,49267319,49498991,49721234,49761136,49805529,49845959,50501642,50614679,50729711,51112631,51171304,51189119,51259977,51341999,51408021,51418391,51532919,52075105,52317554,52446551,52904820,52939511,53037064,53219089,53364357,53506631,53610314,53678250,53868434,53910246,54107676,54184799,54388929,54522911,54855157,55273864,55813345,55943351,55981278,56426639,56431808,56497132,56884597,56945591,56954642,56982599,57056591,57079761,57256800,57389159,57567717,57623358,57649525,57757919,57880552,57941999,58185534,58614420,58624744,58859399,58996744,59000594,59370959,59666697,59740552,60062711,60095337,60135359,60461879,60787751,61073920,61149071,61200025,61545074,61842361,62183097,62462476,62490126,62522048,62657879,62784145,62890009,63050711,63317642,63322581,63455752,63485784,64413900,64577039,64748725,64788839,65070791,65115621,65230921,65527871,65643385,65701612,65776585,65948591,65952837,66339914,66371337,66472871,66574105,66590834,66976014,67099631,67208121,67366977,67593074,67855276,68414279,68448719,68708160,68723951,68930039,69135839,69170111,69179430,70088594,70337304,70466519,70805759,71177999,71330954,71387721,71421507,71515559,71578994,71617209,71785031,71885951,71986799,72074642,72121151,72288911,72404654,72724151,72891191,72899029,73288704,73440030,73524119,73791392,74616551,74978759,75208751,75212949,75301384,75340974,75384025,75765671,75890476,75961679,76027270,76264394,76840151,77131679,77296680,77698470,77744999,78034511,78195071,78227159,78336032,78364510,78386737,78419519,78611591,78772062,78864709,78931902,78953234,78994871,79086412,79129467,79345199,79726271,79733350,79821359,79888926,79926674,79948031,80768279,81211276,81263710,81382514,81520631,81551879,81926231,82226977,82449792,82878368,82949759,83015316,83039464,83556554,83723785,83750039,83933951,84016345,84148151,84605831,84678649,84714057,84724305,84757991,84788399,84940319,85304111,85479242,85576199,85612552,85666751,85847639,86058311,86139969,86396702,86418551,86478479,86568311,86658071,86958765,87040257,87105791,87314111,87392714,87907151,88113959,88128036,88231381,88346230,88555799,88574937,88583954,88868689,88984945,88995839,89059442,89317391,89375077,89404919,89539225,89540581,89754311,89842870,89910561,90041889,90372592,90460830,90478511,90996839,91232724,91483991,91569719,91598279,91900274,92592839,92631097,92756016,93077834,93137505,93187030,93238164,93419397,93465551,93940871,93966550,93968759,94037412,94044904,94370965,94552559,94632901,94691039,95238105,95447937,95462831,95599991,95680020,95873711,95962881,96314121,96491552,96690071,96852479,96987599,97257239,97276105,97322289,97516452,97522732,97984274,98434151,98810569,98921109,99346672,99605642,99607276,99621791,99778919,...,767692978583360944469495525037794247543858855407184237012412797597900950384978754088343200041106077063575730477874543524661949011213758130168287242443956419445671070030495109010054976308844695104666667292277004875172343046495349968119180734453935027710762676785494217215897469146381349240198103853636670197155600104635386735104044034963209206956024271780875808392038365347135995803291263677323268947014933475313937526125707827064795437183408654071121581876686959781360515619149699654517812830344061094562234111941627317598263428592394690878982652871182962040441246156248097890764020720424903610686791188455141506017304534757670623088619098678180685086641975758470473542676608691213167804460894532660418390018058456383845101044403181050891928634925463606771854305813309982877974990372969966604469792009253942311769545379756461486751113423119094243498723690088199335827555291860236318901064582571485566842842213354174577089000401769268016222834823628629894429383819199526852300307354730510085509179919890564300492177216260736517525859940479382647281472939396051497479618315642730912747473597508601626103603082736495577235155063180250469520556832117583577393909349240345850492004410968037793285005247941025117632054250659950301014407869013172818028168741542464023968254481201067710865855885839487461886590672438272501075346640661055395894579822731284324669344824437064524868572231396232593157453898805397156815135300631329507483121465966997479343014005931603266043552031699011316811138067082290460548881885150483654343983510733135664040479041326371790046020425551933947438454308755061793943944109421176634138542840579538292521982135880422146186681503463818348455172617077260107088473813106841456711112182877226188190837531179333896953653506967467310136867854789384925477033550850511194375037687986297157541625808991568415568906903036323779278029582694877004892052596770186370461549754959761531277696788162017754816390349662530145426483601508668915708528385812653873988647068399592632799906215388460431354681616461213467664139830982286669183813058759757572981636520597861313295594257308943790551893297368323615510180542987611148513366566739906450075396386923343213106047098347100299584477163070461439295426468179782358862970445188178613523710111304336706930899430348955800972620477042357109857210389390286466484015766209882032608445781837882663634228846597723856651892611663380442009999503444484029429438930403880003273004235178023421092756167731617009942100641074487233200300212286469778947171121785447957903450700622444639857546353535685419450700392986502931012033122869337630933664651288912423339297825138206256012788268230692478613823689291001355241106177541982329205590887685404758504675684980357496543808007664552031052769114425477232619771993647005707432245740808707699011233641496690905391483520830710981851407687582088292164017867101468817699111033594170818530832205411340326779980828944183748137803999790786198026944137222218737516415776603992727923886661352576603752536333915892821954201796931320723880038944886751756890291005836943206489448402470252184709221318036287027596832329391787313205891171167412708270668283583837237139024205534622547563094718792400592493583691660353339646895139378503837568008548750362751252611348412137815916981724770457491142048640987262478856552027984217134787313828739513536123254122787462813619556371016529893106485113191293682950744639356259978882459485624874695569781148846664411425094659794012212381487567801950567291707116307119432586365583475522284456006069637826507931692665856312850929112322109879125039363166667578230069638720361207148877006928042136604960887070388258633045802219889630175580518407450250448970128483336967441214366984407137627445903492592719397861107611111400233877237000335868304194960604406517847751324371868093404328234292694271201}
23881 478224217115190748463437678784167841942910996263373669795404266431400876851289: {47758,358095,381968,429714,835415,1002498,1193450,1432140,1527616,1718568,1933389,2266415,2719698,2838983,3360171,3411551,4055690,4215963,4866828,5124095,5773394,6148914,6351663,6840071,7173131,7839083,8683948,9332571,9700031,9757551,9771530,10168151,10247330,11198690,11270171,11462711,11725836,12162311,12243095,12296796,12405640,12559991,12699791,12953015,13131983,13438428,13572651,13678994,13956345,14036459,14525930,14691714,14695912,14886768,14987183,15543618,16532901,16747614,16807511,16988651,17374730,17431116,17673698,17791131,17801483,18619415,18794951,19052463,19398434,19460123,19541420,19669538,19682025,20730671,20849676,20994160,21111083,21491954,21772331,21988011,22343298,22406511,22890059,23449704,23499338,23558615,23618430,23658194,24010730,24431303,24495771,24548853,24690988,25117874,25192992,25215314,25248140,25365791,25430690,26261762,26380917,26849930,26928011,27313511,27585359,27642818,28099340,28270338,28342116,28489439,28687708,28812876,29106818,29224825,29487963,30158690,30297768,30316971,30516828,31103330,31206071,31785218,32219916,32385711,32650583,32684615,32814314,32995343,33051551,33168971,33384095,33624363,33719208,33797420,34084989,34823378,34950251,35069790,35082674,35272840,35684463,36190428,36506991,36876095,37110002,37323996,37407776,37867391,37934109,38418796,38969391,39191783,39196391,39221538,39397259,39489740,39663215,39681945,39868871,40060914,40200143,40539938,40556904,40982440,41015451,41345282,41505611,41605511,41749750,41832363,42083748,42327408,42530018,42826562,43139015,43540994,44251314,44526815,44774891,44984999,45597359,45626517,45843148,45943703,46105245,46407431,46643690,46994732,47102114,47121231,47164799,47387688,47595858,47618334,48364631,49178928,49192463,49257692,49363274,49377832,49928930,49953963,50099700,50266271,50426396,50645483,51102698,51296651,51622151,51766818,51815819,52272983,52776111,52810274,53010791,53311149,53361842,53432178,53439680,54463943,54706792,55124303,55186671,55326294,55523783,55531916,55550061,55735511,55933394,55972428,56136412,56789391,56955530,57989163,58789991,59044298,59186991,59293730,59642500,59914716,60119640,60621431,61152491,61231703,61545141,62201420,62451671,62640479,63964130,64127616,64182722,64567468,64751151,65016424,65304431,65556599,65888711,66131025,66296330,66332354,66407372,66728091,67122831,67634595,68157191,68346636,68544028,69092330,69356114,69786314,69879963,70348619,70539760,70621415,71134631,71152476,71425271,71571000,71880328,71887871,71937098,72143568,72212234,72350690,72518572,72560651,72626511,72659531,72970031,73143477,73268025,73280930,73317698,73415303,73745930,74023391,74581851,74641704,74675690,74842283,74910983,75051623,75752463,75824171,75829643,76106348,76342400,76756956,76831144,76838711,76961879,77580712,77664551,77750882,77865743,78078095,78152560,78476331,78755531,79076018,79319690,79357230,79555596,79572251,80127116,80220839,80415471,80517375,80802651,80865369,81106751,81161514,81523991,81595274,82127015,82289291,82525703,82910796,83320168,83971917,84165482,84375311,84430108,84647712,84745698,84819095,85227983,85431963,85515839,85705499,85885200,85902059,86435037,86794223,86820828,86928338,87020162,87278301,87921630,87937116,88028618,88362071,88495116,88500891,88727591,88888898,89301352,89319083,89469803,89610828,89822636,90476951,90765314,91610880,91868651,92239240,92317611,93287282,93300458,93693714,93735189,93783072,94031951,94096583,94126730,94321634,94425911,94863095,94976463,95183628,95228676,95240951,95489612,96155138,96322859,96408191,96579698,96620850,96783431,97078511,97302098,97718272,97920040,98552418,98567351,98858015,99023711,99490754,99509871,99886251,...,1023590638111147925959327366717058996725145140542912316016550396797201267179971672117790933388141436084767640637166058032882598681618344173557716323258608559260894760040660145346739968411792926806222223056369339833563124061993799957492240979271913370281016902380658956287863292195175132320264138471515560262874133472847182313472058713284278942608032362374501077856051153796181327737721684903097691929353244633751916701500943769419727249577878205428162109168915946375147354158866266206023750440458748126082978815922169756797684571456526254505310203828243949387254994874997463854352027627233204814249054917940188674689739379676894164118158798237574246782189301011293964723568811588284223739281192710213891186690744608511793468059204241401189238179900618142362472407751079977170633320497293288805959722679005256415692727173008615315668151230825458991331631586784265781103407055813648425201419443428647422457122951138899436118667202359024021630446431504839859239178425599369136400409806307346780678906559854085733989569621680982023367813253972510196375297252528068663306157754190307883663298130011468834804804110315327436313540084240333959360742442823444769858545798987127800656005881290717057713340330588033490176072334213267068019210492017563757370891655389952031957672641601423614487807847785983282515454229917696668100462187548073861192773096975045766225793099249419366491429641861643457543271865073862875753513734175106009977495287955996639124018674575471021391402708932015089081517422776387280731842513533978205791978014310847552053972055101829053394693900735911929917939078340082391925258812561568845518057120772717723362642847840562861582242004618424464606896822769680142784631750809121942281482910502968250921116708239111862604871342623289746849157139719179900636044734467348259166716917315062876722167745322091220758542537381765039037372776926502673189403462360248493948733006613015375036929050882690339755187132883373527235311468678225220944704514416871831984862757866123510399874953851280575139575488614951290218853107976382225578417411679676763975515360797148417727459009745258387402524396491098154013574057316814864684488755653208600100528515897790950808062797796133732779302884093948585727235290906376478483960593584238151364946815072448942574532573798607734630160636056476146476280519187048621978687688279842710144594375783843551512305128796965142202523482217840589346666004592645372572585240538506671030672313570697894790341556975489346589467521432649644267066949715293038596228162380597277204600934163259519810061804714247225934267190648670574682710830492450174578219535051883231119063766850941674683717690974256638151764919054668473654808236722643105607454516913873011339567579973809995391744010219402708070358819233969643493029324862674276576327654411610265348311521995587873855311361107614642468543583442784389552023822801958423598814711458894424707776273881787102373307771925578330850405333054381597369258849629624983355221035471990303898515548470102138336715111887857095938935729241760965173385259849002342520388007782590941985931203293669579612295090715049370129109772522383084274521561556550277694224378111782982852032274046163396750792958389867456658111588880471119529193519171338450090678065000483668336815131216183754555975633027276654856064854649683305142069370645622846383085104986018048164338830383283751492741828022039857475313484255058243934326185808346638509945980833166260759708198462219215233459546392016283175316757069267423055609488409492576781820777967363045941341426183768677242256887808417134572149762813172166719150888890104306759518293814942865169342570722848806614516093851011510727736293186173567440691209933667265293504644449289921619155979209516836594537990123625863814810148148533645169649333781157738926614139208690463668432495824124539104312390259028268}
23882 479907176652731783494861560294372747320938145053121855133859928096985023384010: {71637,310297,334222,477460,525118,572952,644571,1097422,1336664,1503747,1790175,1909520,2148210,2240302,2291424,2525662,2577852,2591257,2905918,3190942,3300277,3626264,3760558,3866197,4079547,4480228,4571977,4994581,5087422,5371342,5621284,6033262,6083535,6489104,6505582,6599998,6678517,7300242,8198552,8468884,8660091,8768857,9049198,9143182,9223371,9600457,9988318,10854935,11861758,12142222,12443428,12796078,12858923,13010068,13025922,13076062,13262638,13310581,14263897,14657295,14671381,14752942,14938942,15370995,15507050,15589438,15619657,15634448,16395728,16424638,16429657,16798035,17102677,17371381,17588754,17917904,17998702,18096868,18369890,18445194,18608460,18710581,18977557,19110937,19588952,19643737,19752478,19849024,20157642,20305102,20518491,20724824,21041038,21102997,21684142,21788895,22037571,22043868,22330152,23241488,23315427,23341081,23721508,23791678,24426775,24431422,25121421,25252798,25403284,25526302,26062095,26146674,26242700,26510547,26527918,27345982,27497497,27799568,27883381,27981358,29097651,29312130,29317348,29504307,29791064,29875348,30334462,30863735,31073881,31266272,31274514,31416862,31453717,31491240,31560175,31687102,32047198,32085337,32237931,32661028,32731804,33514947,33590656,35124175,35174556,35216437,35249007,35427645,35487291,35837257,35859635,36016095,37036482,37328878,37565977,37676811,37693784,37789488,37822971,37862878,37872210,37951822,38129662,38146035,38179957,38417168,38662798,38792137,38914357,39284062,39317284,39392643,39524377,39550078,39727342,40274895,40347262,40375381,40397024,40422628,40689104,40789582,41343637,41464227,41673022,42149010,42202318,42246775,42405507,42513174,42959888,42995182,43031562,43180948,43205603,43219314,43660227,43982581,44091050,44832484,44958944,45238035,45407317,45446652,45775242,46153678,46351381,46586677,46590718,46654995,46678078,46759720,47579284,47677827,47868443,48023495,48109081,48253904,48329874,48508942,48675988,48769918,49039897,49221471,49271881,49362175,49503577,49765328,49812382,49985902,50246062,50578812,50696130,51228050,51232117,51346777,51371758,51959188,52235067,52295384,52408462,52604685,52624011,52839742,52909260,53184478,53414552,53511637,53615038,54075872,54285642,54474958,54687268,55665003,55676158,55776484,55985994,56018782,56111664,56436544,56654581,56889371,56959678,56987977,57303935,57431497,57542197,57628194,58743415,58832307,59001752,59005822,59234610,59959381,60091371,60809907,60835356,61473660,61572115,61722290,61803337,62017923,62624625,62828308,62895287,62901838,63032995,63125622,63183584,63461144,63491112,63795027,64080862,64239843,64333102,64583257,64585198,64921102,65311491,65534197,65571904,65927278,66376971,66429502,66605284,66680398,66799600,67098238,67227251,67418581,67599118,67883123,68248597,68383490,68432638,68455381,68764722,68971081,69022424,69176857,69414895,69965535,70170515,70368148,70492098,70653171,71081532,71171902,71242904,71337358,71393787,71427501,71585422,71668078,71825737,72027481,72163678,72329557,72905147,73231897,73582228,73768392,73886538,74044911,74066748,74553125,74629904,74821657,74893395,75149550,75216217,75314677,75639594,75719188,75780478,75805897,76197577,76271278,76353022,76654047,76761502,77171737,77318884,77332702,77650227,77751775,77752777,78138683,78234997,78915988,78960382,79041598,79215411,79528558,79861081,79886288,80042763,80148267,80159520,80709335,81270530,81560137,82060188,82196542,82599262,82679881,82989441,83009215,83081998,83297874,83622979,83789257,83900091,83958642,84204618,84797077,85433295,85503488,85566958,85680035,86334868,86337481,87002782,87480238,87897803,87945817,88174700,88195342,88566447,88671358,88940595,88970788,89067598,89443381,89463750,89497108,89618197,89850410,89872074,90016942,90179460,90648215,90727438,91128848,91607881,91779097,91900739,91987342,92035381,92087219,92615758,92638871,93054037,93086398,93138457,93164782,93173284,93203747,93302130,93556462,93978697,94572958,94640843,94728757,94869968,95132935,95428000,95664622,95946195,96038930,96191424,96274083,96835348,96851202,96975890,97524636,97690700,97993342,98070718,98534638,98997982,99442468,99444495,99498531,99522272,99611058,99691918,...,1535385957166721888938991050075588495087717710814368474024825595195801900769957508176686400082212154127151460955749087049323898022427516260336574484887912838891342140060990218020109952617689390209333334584554009750344686092990699936238361468907870055421525353570988434431794938292762698480396207707273340394311200209270773470208088069926418413912048543561751616784076730694271991606582527354646537894029866950627875052251415654129590874366817308142243163753373919562721031238299399309035625660688122189124468223883254635196526857184789381757965305742365924080882492312496195781528041440849807221373582376910283012034609069515341246177238197356361370173283951516940947085353217382426335608921789065320836780036116912767690202088806362101783857269850927213543708611626619965755949980745939933208939584018507884623539090759512922973502226846238188486997447380176398671655110583720472637802129165142971133685684426708349154178000803538536032445669647257259788858767638399053704600614709461020171018359839781128600984354432521473035051719880958765294562945878792102994959236631285461825494947195017203252207206165472991154470310126360500939041113664235167154787818698480691700984008821936075586570010495882050235264108501319900602028815738026345636056337483084928047936508962402135421731711771678974923773181344876545002150693281322110791789159645462568649338689648874129049737144462792465186314907797610794313630270601262659014966242931933994958686028011863206532087104063398022633622276134164580921097763770300967308687967021466271328080958082652743580092040851103867894876908617510123587887888218842353268277085681159076585043964271760844292373363006927636696910345234154520214176947626213682913422224365754452376381675062358667793907307013934934620273735709578769850954067101701022388750075375972594315083251617983136831137813806072647558556059165389754009784105193540372740923099509919523062555393576324035509632780699325060290852967203017337831417056771625307747977294136799185265599812430776920862709363232922426935328279661964573338367626117519515145963273041195722626591188514617887581103786594736647231020361085975222297026733133479812900150792773846686426212094196694200599168954326140922878590852936359564717725940890376357227047420222608673413861798860697911601945240954084714219714420778780572932968031532419764065216891563675765327268457693195447713303785223326760884019999006888968058858877860807760006546008470356046842185512335463234019884201282148974466400600424572939557894342243570895915806901401244889279715092707071370838901400785973005862024066245738675261867329302577824846678595650276412512025576536461384957227647378582002710482212355083964658411181775370809517009351369960714993087616015329104062105538228850954465239543987294011414864491481617415398022467282993381810782967041661421963702815375164176584328035734202937635398222067188341637061664410822680653559961657888367496275607999581572396053888274444437475032831553207985455847773322705153207505072667831785643908403593862641447760077889773503513780582011673886412978896804940504369418442636072574055193664658783574626411782342334825416541336567167674474278048411069245095126189437584801184987167383320706679293790278757007675136017097500725502505222696824275631833963449540914982284097281974524957713104055968434269574627657479027072246508245574925627239112742033059786212970226382587365901489278712519957764918971249749391139562297693328822850189319588024424762975135603901134583414232614238865172731166951044568912012139275653015863385331712625701858224644219758250078726333335156460139277440722414297754013856084273209921774140776517266091604439779260351161036814900500897940256966673934882428733968814275254891806985185438795722215222222800467754474000671736608389921208813035695502648743736186808656468585388542402}
23883 481596020473285097372171853457348076730576222767867292183053386446861464366505: {95516,501333,596825,716190,763936,787677,859428,1169581,1646133,1670830,2004996,2386900,2864280,3055232,3172981,3222315,3360453,3437136,3788493,3866778,4031833,4358877,4532830,4786413,5439396,5600285,5640837,5677966,6720342,6823102,7026605,7173733,7631133,8057013,8111380,8431926,9049893,9733656,9758373,9899997,10248190,10586105,10747781,10950363,11463673,11546788,12297828,12703326,13319293,13573797,13680142,13714773,13886477,14037637,14346262,14982477,15454637,15554285,15678166,15895277,16262585,16750381,17140333,17367896,17792637,18134221,18213333,18588581,18665142,19031381,19194117,19400062,19515102,19538883,19543060,19614093,19893957,20336302,20494660,21455513,21719357,22129413,22397380,22408413,22461317,22540342,22621085,22925422,23260575,23384157,23451672,24324622,24486190,24593592,24636957,24811280,25119982,25399582,25741853,25906030,26067181,26263966,26383131,26876856,26998053,27145302,27357988,27554835,27667791,27912690,28072918,28313657,29051860,29383428,29391824,29628717,29651885,29773536,29974366,29977753,30236463,30457653,31087236,31561557,31754105,31824013,32297957,32526213,32803375,32982061,33065802,33495228,33615022,33669337,33977302,34210781,34749460,34862232,35347396,35582262,35602966,35687517,36582137,36646685,36647133,37238830,37344185,37589902,37879197,38104926,38289453,38796868,38847437,38920246,39082840,39199693,39220011,39339076,39364050,39791877,40009481,40826285,40914755,41018973,41461342,41699352,41972037,41988320,42222166,42983908,43544662,43802581,43968195,43976022,44686596,44813022,45501693,45629513,45758461,45780118,46500277,46560397,46737733,46899408,46911771,46998676,47117230,47125293,47236860,47316388,47530653,48021460,48070797,48862606,48991542,49097706,49146605,49381976,50235748,50385984,50430628,50496280,50528285,50731582,50861380,51626533,51693497,52523524,52549901,52761834,53699860,53856022,53976185,54627022,55170718,55285636,55528501,55554723,55740217,55993317,56040605,56198680,56540676,56684232,56794317,56808315,56927733,56978878,57194493,57375416,57625752,57994197,58213636,58220077,58449650,58456133,58926093,58975926,59325117,59405593,59474105,59591013,60317380,60394621,60520893,60595536,60633942,60844985,61033656,61184373,61236877,61718453,62131157,62206660,62337541,62412142,62509533,63223515,63303477,63570436,63769761,64210873,64439832,64492773,64547343,64771422,64828971,64948985,65301166,65369230,65628628,65990686,66103102,66136575,66337942,66768190,67248726,67438416,67594840,68169978,68300837,68359085,68490013,68662863,69230517,69470941,69572537,69646756,69720605,69841277,69886077,69900502,70017117,70139580,70165348,70545680,71368926,72079541,72380856,72494811,72763413,73013982,73154877,73686941,73752190,74029657,74220004,74604613,74647992,74718573,74815552,74978853,75369093,75734782,75868218,76044195,76837592,76842075,77057637,77799257,77938782,78383566,78392782,78443076,78535385,78612693,78794518,78979480,79259613,79267481,79326430,79363890,79737742,79776717,80121828,80227597,80400286,80422557,80602181,80716117,81079876,81113808,81428463,81712437,81964880,82030902,82690564,83011222,83139277,83211022,83256605,83499500,83514237,83664726,83978991,84028173,84167496,84654816,84958393,85060036,85439517,85653124,86278030,86442291,86674697,86801557,87081988,87960185,88414681,88502628,88508733,88851915,89053630,89549782,89969998,90484573,91194718,91253034,91686296,91887406,91977785,92210490,92583435,92660453,92814862,93287380,93610313,93989464,94039933,94204228,94242462,94250573,94329598,94352757,94648985,94688433,94775376,95191716,95236668,95853433,95996501,96121293,96499653,96648605,96729262,96877797,97381653,98311481,98357856,98384926,98515384,98644985,98726548,98755664,98869981,98890917,99032053,99333701,99501317,99644253,99857860,99907926,...,2303078935750082833408486575113382742631576566221552711037238392793702851154936262265029600123318231190727191433623630573985847033641274390504861727331869258337013210091485327030164928926534085314000001876831014625517029139486049904357542203361805083132288030356482651647692407439144047720594311560910010591466800313906160205312132104889627620868072815342627425176115096041407987409873791031969806841044800425941812578377123481194386311550225962213364745630060879344081546857449098963553438491032183283686702335824881952794790285777184072636947958613548886121323738468744293672292062161274710832060373565365424518051913604273011869265857296034542055259925927275411420628029826073639503413382683597981255170054175369151535303133209543152675785904776390820315562917439929948633924971118909899813409376027761826935308636139269384460253340269357282730496171070264598007482665875580708956703193747714456700528526640062523731267001205307804048668504470885889683288151457598580556900922064191530256527539759671692901476531648782209552577579821438147941844418818188154492438854946928192738242420792525804878310809248209486731705465189540751408561670496352750732181728047721037551476013232904113379855015743823075352896162751979850903043223607039518454084506224627392071904763443603203132597567657518462385659772017314817503226039921983166187683739468193852974008034473311193574605716694188697779472361696416191470445405901893988522449364397900992438029042017794809798130656095097033950433414201246871381646645655451450963031950532199406992121437123979115370138061276655801842315362926265185381831832328263529902415628521738614877565946407641266438560044510391455045365517851231780321265421439320524370133336548631678564572512593538001690860960520902401930410603564368154776431100652551533583125113063958891472624877426974705246706720709108971337834088748084631014676157790310559111384649264879284593833090364486053264449171048987590436279450804526006747125585157437961621965941205198777898399718646165381294064044849383640402992419492946860007551439176279272718944909561793583939886782771926831371655679892104970846530541628962833445540099700219719350226189160770029639318141295041300898753431489211384317886279404539347076588911335564535840571130333913010120792698291046867402917861431127071329571631168170859399452047298629646097825337345513647990902686539793171569955677834990141326029998510333452088288316791211640009819012705534070263278268503194851029826301923223461699600900636859409336841513365356343873710352101867333919572639060607056258352101178959508793036099368608012892800993953866737270017893475414618768038364804692077435841471067873004065723318532625946987616772663056214275514027054941072489631424022993656093158307343276431697859315980941017122296737222426123097033700924490072716174450562492132945554223062746264876492053601304406453097333100782512455592496616234020980339942486832551244413411999372358594080832411666656212549247329811978183771659984057729811257609001747678465862605390793962171640116834660255270670873017510829619468345207410756554127663954108861082790496988175361939617673513502238124812004850751511711417072616603867642689284156377201777480751074981060018940685418135511512704025646251088253757834045236413447750945174311372473426145922961787436569656083952651404361941486218540608369762368362388440858669113049589679319455339573881048852233918068779936647378456874624086709343446539993234275283979382036637144462703405851701875121348921358297759096750426566853368018208913479523795077997568938552787336966329637375118089500002734690208916161083621446631020784126409814882661211164775899137406659668890526741555222350751346910385450010902323643100953221412882337710477778158193583322833334200701631711001007604912584881813219553543253973115604280212984702878082813603}
23884 483290769017216418053384619585896407051763954811463085022007944027157732082546: {119395,143274,262603,620594,668444,954920,1050236,1074285,1145904,1263043,1289142,1690723,1975483,2194844,2506245,2673328,2983625,3007494,3111643,3253339,3580350,3819040,4296420,4480604,4582848,4666339,5051324,5155704,5182514,5800167,5811836,5931883,6072139,6381884,6600554,6632443,6799245,7252528,7470739,7521116,7732394,8159094,8167339,8306443,8516949,8960456,9143954,9989162,10080513,10139225,10174844,10234653,10742684,10935739,11242568,12066524,12167070,12647889,12978208,12993139,13011164,13129723,13199996,13357034,13675339,13811563,14433485,14600484,15196909,15372285,15846283,16397104,16937768,17320182,17537714,18098396,18286364,18400339,18446742,18934723,19054989,19068139,19200914,19734139,19867123,19976636,20265643,20520213,20928403,21519393,21589363,21709870,21721339,22380139,22511683,23168323,23517249,23561443,23723516,24284444,24428825,24886856,24997339,25592156,25618325,25717846,26020136,26051844,26152124,26424523,26525276,26621162,26941339,27070363,27996725,27997713,28527794,29100093,29272653,29314590,29342762,29505884,29877884,30504453,30741990,30907603,31014100,31178876,31239314,31268896,32550283,32791456,32849276,32859314,33304339,33429763,33596070,33810513,34197485,34205354,34388133,34742762,35177508,35675083,35799139,35835808,35923123,35997404,36193736,36314825,36418339,36486933,36729285,36739780,36890388,37216920,37421162,37679973,37955114,38099373,38221874,38859045,39177904,39287474,39395949,39504956,39698048,39974203,40315284,40610204,40702339,40717953,41036982,41186323,41449648,41869035,41910139,42082076,42109377,42205994,43209229,43230403,43368284,43436825,43577790,43827643,44075142,44087736,44184245,44660304,44961549,45016723,45372043,45962803,46482976,46630854,46682162,47443016,47583356,48424339,48496085,48853550,48862844,49005739,49121803,49173845,49585339,49598703,50203489,50242842,50422533,50505596,50806568,50965953,51052604,51198643,51427963,51885739,52124190,52293348,52485400,53021094,53025139,53055836,53373393,53404449,53729885,54270163,54691964,54994994,55599136,55766762,55858245,55962716,56384853,56400139,56511523,57067363,57157389,57952963,58195302,58380369,58614139,58624260,58634696,58748345,59008614,59046075,59145485,59582128,59750696,60026825,60146803,60668924,60907843,61727470,61988923,62147762,62192013,62532544,62549028,62794685,62833724,62848603,62907434,62982480,63038285,63120350,63333249,63374204,63576725,64094396,64170674,64475862,65083339,65316993,65322056,65463608,65610739,65654405,65964033,66031363,66241243,66555523,67029894,67124825,67181312,67182139,67219533,67232893,68670177,69107045,69765139,70248350,70349112,70432874,70498014,70675845,70855290,70974582,71191963,71674514,71719270,71799139,72032190,72303139,72767045,73293909,73405603,73487313,73646559,74072964,74657756,74697283,75131954,75353622,75387568,75396725,75578976,75645942,75682603,75725756,75744420,75780739,75903644,76097373,76259324,76292070,76359914,76660723,76834336,76855483,77325596,77341123,77584274,77758325,77828714,78114403,78307003,78568124,78634568,78691339,78785286,79048754,79100156,79142751,79454684,79463045,80225509,80549790,80694524,80750762,80784033,80794048,80845256,80973163,81378208,81579164,81630883,81940533,82005139,82035785,82240781,82687274,82756077,82928454,83346044,83629997,84298020,84404636,84493550,84811014,85026348,85468317,85919776,85990364,86045923,86063124,86200961,86361896,86411206,86438628,86496283,86586139,86675923,86944843,87058445,87123763,87320454,87674475,87706685,87965162,88182100,88246193,88456483,88463889,89390081,89664968,89773003,89917888,90208243,90468523,90476070,90814634,90893304,90950913,91550484,92307356,92612323,92702762,92775005,93173354,93181436,93309990,93356156,93519440,93541339,93618213,93960739,94044403,95158568,95355654,95538043,95620339,95736886,96046990,96218162,96507808,96520843,96659748,96764923,97017884,97157133,97180853,97351976,97539836,97951749,98053845,98079794,98238721,98442942,98455339,98543762,98724350,98827157,98986029,99007154,99154653,99506913,99530656,99564643,99624764,99971804,...,3070771914333443777877982100151176990175435421628736948049651190391603801539915016353372800164424308254302921911498174098647796044855032520673148969775825677782684280121980436040219905235378780418666669169108019500689372185981399872476722937815740110843050707141976868863589876585525396960792415414546680788622400418541546940416176139852836827824097087123503233568153461388543983213165054709293075788059733901255750104502831308259181748733634616284486327506747839125442062476598798618071251321376244378248936447766509270393053714369578763515930611484731848161764984624992391563056082881699614442747164753820566024069218139030682492354476394712722740346567903033881894170706434764852671217843578130641673560072233825535380404177612724203567714539701854427087417223253239931511899961491879866417879168037015769247078181519025845947004453692476376973994894760352797343310221167440945275604258330285942267371368853416698308356001607077072064891339294514519577717535276798107409201229418922040342036719679562257201968708865042946070103439761917530589125891757584205989918473262570923650989894390034406504414412330945982308940620252721001878082227328470334309575637396961383401968017643872151173140020991764100470528217002639801204057631476052691272112674966169856095873017924804270843463423543357949847546362689753090004301386562644221583578319290925137298677379297748258099474288925584930372629815595221588627260541202525318029932485863867989917372056023726413064174208126796045267244552268329161842195527540601934617375934042932542656161916165305487160184081702207735789753817235020247175775776437684706536554171362318153170087928543521688584746726013855273393820690468309040428353895252427365826844448731508904752763350124717335587814614027869869240547471419157539701908134203402044777500150751945188630166503235966273662275627612145295117112118330779508019568210387080745481846199019839046125110787152648071019265561398650120581705934406034675662834113543250615495954588273598370531199624861553841725418726465844853870656559323929146676735252235039030291926546082391445253182377029235775162207573189473294462040722171950444594053466266959625800301585547693372852424188393388401198337908652281845757181705872719129435451881780752714454094840445217346827723597721395823203890481908169428439428841557561145865936063064839528130433783127351530654536915386390895426607570446653521768039998013777936117717755721615520013092016940712093684371024670926468039768402564297948932801200849145879115788684487141791831613802802489778559430185414142741677802801571946011724048132491477350523734658605155649693357191300552825024051153072922769914455294757164005420964424710167929316822363550741619034018702739921429986175232030658208124211076457701908930479087974588022829728982963234830796044934565986763621565934083322843927405630750328353168656071468405875270796444134376683274123328821645361307119923315776734992551215999163144792107776548888874950065663106415970911695546645410306415010145335663571287816807187725282895520155779547007027561164023347772825957793609881008738836885272145148110387329317567149252823564684669650833082673134335348948556096822138490190252378875169602369974334766641413358587580557514015350272034195001451005010445393648551263667926899081829964568194563949049915426208111936868539149255314958054144493016491149851254478225484066119572425940452765174731802978557425039915529837942499498782279124595386657645700378639176048849525950271207802269166828465228477730345462333902089137824024278551306031726770663425251403716449288439516500157452666670312920278554881444828595508027712168546419843548281553034532183208879558520702322073629801001795880513933347869764857467937628550509783613970370877591444430444445600935508948001343473216779842417626071391005297487472373617312937170777084804}
23885 484991442795434902349499978859927782959977084965756904501957359718833183847664: {191032,214911,835555,930891,1002666,1193650,1312795,1432380,1527872,1575354,1718856,1933713,2339162,2743555,3292266,3341660,4009992,4461259,4511241,4773800,5370525,5600755,5728560,6110464,6314155,6345962,6444630,6720906,6874272,7264795,7576986,7733556,7773771,7840399,7977355,8063666,8717754,9065660,9401395,9572826,9837247,9900831,10748683,10878792,11200570,11272063,11281674,11355932,11598591,12238641,12318559,12701923,12718555,13428355,13440684,13646204,13715931,14053210,14347466,14820547,14983743,14989699,15083155,15262266,15896611,15978523,16114026,16222760,16263955,16411291,16499995,16607419,16863852,16991503,18099786,18250605,18264571,19112203,19467312,19516746,19799994,20035551,20038507,20496380,21172210,21270367,21495562,21775999,21900726,21968323,22622995,22767619,22857955,22927346,23093576,23556991,23979691,24595656,24970795,25406652,25557787,25668331,25980273,26306571,26411803,26638586,27109339,27147594,27360284,27429546,27670113,27772954,27973759,28075274,28692524,28801371,29534923,29654395,29694811,29964954,30266323,30355555,30909274,31108570,31356332,31669519,31790554,31948627,31990195,32525170,32564805,32690155,33156595,33174559,33392803,33500762,34213663,34280666,34735792,35585274,36268442,36426666,36882355,37177162,37330284,37347355,38062762,38388234,38576769,38767625,38800124,38973595,39030204,39077766,39086120,39105043,39228186,39787914,39931743,39941731,40430923,40672604,40807939,40989320,41061595,41389939,41512639,41961163,42791691,42911026,43221259,43438714,43971885,44014143,44258826,44455747,44794760,44816826,44922634,44996755,45080684,45242170,45850844,45924725,46112985,46222027,46521150,46768314,46858971,46903344,48649244,48663331,48972380,49187184,49273914,49288971,49381195,49622560,50239964,50394105,50762755,50799164,50997691,51256819,51305359,51308031,51308059,51483706,51812060,51931387,52114143,52134362,52281859,52527932,52602595,52766262,53753712,53996106,54210355,54215131,54290604,54715976,54921823,55109670,55196803,55335582,55825380,56131743,56145836,56627314,56932671,57156799,57221611,57280657,57332811,58103720,58766856,58783648,58931211,59257434,59303770,59479195,59547072,59548771,59948732,59955506,60080227,60472926,60915306,61078555,61342627,61555473,62174472,62651083,63123114,63131995,63308991,63508210,63648026,63815755,64595914,65052426,65223103,65366685,65606750,65964122,66112713,66131604,66319795,66990456,67230044,67338674,67954604,68364955,68421562,68805247,69203203,69498920,69724464,69946281,69953395,70023243,70360543,70694792,70739599,70950211,71164524,71205932,71375034,72085627,72884899,72925963,73164274,73280325,73293370,73294266,73427731,74338171,74370643,74477660,74688370,75064267,75179804,75364263,75566659,75758394,75836155,76001563,76209852,76578906,76879219,77593736,77694874,77805811,77840492,78165680,78186285,78399386,78440022,78456847,78542155,78678152,78728100,78768799,79217755,79274179,79310479,79531641,79583754,79585759,80018962,80072227,80117995,80559487,80609023,80719171,80858683,81120523,81652570,81829510,82037946,82143259,82492491,82539691,82732927,82922684,83164723,83263747,83398704,83650143,83944074,83976640,84444332,85182979,85967816,87089324,87251659,87292953,87605162,87936390,87952044,88512921,88593067,88742539,89373192,89412643,89626044,90902731,90928579,91003386,91259026,91516922,91560236,92591205,93000554,93120794,93221643,93322195,93475466,93798816,93823542,93990619,93997352,94234460,94235587,94250586,94258531,94361151,94441819,94473720,94632776,94657195,94680525,94879555,95061306,95257123,95324155,95702719,96004627,96042920,96141594,96256011,96656995,96713793,96799819,97608847,97725212,97983084,98195412,98210155,98293210,98319763,98763952,98875195,99318355,99453811,...,4606157871500165666816973150226765485263153132443105422074476785587405702309872524530059200246636462381454382867247261147971694067282548781009723454663738516674026420182970654060329857853068170628000003753662029251034058278972099808715084406723610166264576060712965303295384814878288095441188623121820021182933600627812320410624264209779255241736145630685254850352230192082815974819747582063939613682089600851883625156754246962388772623100451924426729491260121758688163093714898197927106876982064366567373404671649763905589580571554368145273895917227097772242647476937488587344584124322549421664120747130730849036103827208546023738531714592069084110519851854550822841256059652147279006826765367195962510340108350738303070606266419086305351571809552781640631125834879859897267849942237819799626818752055523653870617272278538768920506680538714565460992342140529196014965331751161417913406387495428913401057053280125047462534002410615608097337008941771779366576302915197161113801844128383060513055079519343385802953063297564419105155159642876295883688837636376308984877709893856385476484841585051609756621618496418973463410930379081502817123340992705501464363456095442075102952026465808226759710031487646150705792325503959701806086447214079036908169012449254784143809526887206406265195135315036924771319544034629635006452079843966332375367478936387705948016068946622387149211433388377395558944723392832382940890811803787977044898728795801984876058084035589619596261312190194067900866828402493742763293291310902901926063901064398813984242874247958230740276122553311603684630725852530370763663664656527059804831257043477229755131892815282532877120089020782910090731035702463560642530842878641048740266673097263357129145025187076003381721921041804803860821207128736309552862201305103067166250226127917782945249754853949410493413441418217942675668177496169262029352315580621118222769298529758569187666180728972106528898342097975180872558901609052013494251170314875923243931882410397555796799437292330762588128089698767280805984838985893720015102878352558545437889819123587167879773565543853662743311359784209941693061083257925666891080199400439438700452378321540059278636282590082601797506862978422768635772558809078694153177822671129071681142260667826020241585396582093734805835722862254142659143262336341718798904094597259292195650674691027295981805373079586343139911355669980282652059997020666904176576633582423280019638025411068140526556537006389702059652603846446923399201801273718818673683026730712687747420704203734667839145278121214112516704202357919017586072198737216025785601987907733474540035786950829237536076729609384154871682942135746008131446637065251893975233545326112428551028054109882144979262848045987312186316614686552863395718631961882034244593474444852246194067401848980145432348901124984265891108446125492529752984107202608812906194666201565024911184993232468041960679884973665102488826823998744717188161664823333312425098494659623956367543319968115459622515218003495356931725210781587924343280233669320510541341746035021659238936690414821513108255327908217722165580993976350723879235347027004476249624009701503023422834145233207735285378568312754403554961502149962120037881370836271023025408051292502176507515668090472826895501890348622744946852291845923574873139312167905302808723882972437081216739524736724776881717338226099179358638910679147762097704467836137559873294756913749248173418686893079986468550567958764073274288925406811703403750242697842716595518193500853133706736036417826959047590155995137877105574673932659274750236179000005469380417832322167242893262041568252819629765322422329551798274813319337781053483110444701502693820770900021804647286201906442825764675420955556316387166645666668401403263422002015209825169763626439107086507946231208560425969405756165627206}
23886 486698062389635013119188431489115506696633157380832228373157302929205191638658: {167153,238790,286548,310349,405773,525206,691853,1241188,1263149,1336888,1405793,1503999,1595873,1738349,1790475,1909840,2100472,2148570,2291808,2307533,2363031,2526086,2578284,2686349,3300833,3381446,3508743,3950966,3961073,4177075,4389688,4666733,4713713,4938399,5012490,5276849,5346656,5967250,6014988,6072653,6212849,6223286,6506678,6539693,6679649,6912749,7160700,7638080,7936013,8168033,8214413,8592840,8961208,9140333,9165696,9332678,9518943,9666945,10081359,10102648,10293233,10311408,10365028,11332075,11365479,11395313,11600334,11623672,11863766,12095499,12144278,12763768,12766433,13076631,13201108,13264886,13598490,13812749,14130353,14194915,14356973,14359239,14505056,14941478,15042232,15306593,15464788,15712493,15847649,16318188,16334678,16612886,16657073,16800855,16836593,16922511,17033898,17057755,17195249,17776973,17920912,18178913,18287908,18980849,19069793,19114253,19735853,19780193,19978324,20161026,20206879,20278450,20311649,20349688,20469306,21079815,21485368,21521199,21871478,22485136,22893399,23082893,23607149,24133048,24171039,24334140,24391373,25129649,25259693,25295778,25432973,25620475,25956416,25986278,26022328,26259446,26399992,26714068,26943713,27149679,27350678,27588173,27623126,28273613,28866970,29200968,29275119,29699991,29765873,30393818,30744570,31692566,31758315,32175149,32243343,32301233,32595149,32794208,32851089,33349133,33875536,34200355,34391019,34475249,34640364,35075428,35222753,35305649,35802353,35843693,35865655,35926349,36196792,36215393,36572728,36800678,36833453,36893484,37572749,37654733,37869446,38109978,38136278,38391149,38401828,38799149,39195415,39287693,39468278,39734246,39953272,39957879,40220849,40531286,40706033,40721391,41040426,41144319,41230349,41552333,41659431,41856806,42112911,42755213,43038786,43178726,43419740,43442678,43632749,44308193,44760278,44947431,45023366,45139373,45415649,45494513,45730913,46006349,46320653,46336646,46363911,46662855,47034498,47122886,47447032,47685831,47767649,47876479,47962349,48428813,48467633,48500155,48568888,48787755,48857650,49048973,49126349,49396913,49589933,49773712,49821293,49994678,50251143,50743853,50840755,51184312,51236650,51241649,51420999,51432749,51435692,51547313,52040272,52103688,52304248,52840673,52849046,53050552,53242324,53377911,53521649,53882678,54140726,54200033,54402663,54639999,55511693,55660973,55765743,55993450,55995426,56350855,56442593,57055588,57072749,57094143,57183713,57313555,57331553,57582351,57737453,58200186,58545306,58616649,58629180,58685524,58842279,58985933,59011768,59387873,59681871,59755768,60811555,60913649,61008906,61215475,61346993,61483980,61563233,61815206,61857943,61887053,62028200,62357752,62478628,62537792,62640113,62799955,63318413,63498955,64064753,64366539,64765075,65089613,65100566,65158071,65582912,65617073,65652173,65659915,65698552,65718628,66388239,66608678,66859526,67192140,67223393,67225239,67383951,67621026,67863255,67894519,68330849,68394970,68410708,68675249,68776266,68843383,69485524,69771953,69781725,70152471,70182295,70355016,71350166,71598278,71637773,71671616,71806193,71839853,71846246,71907149,71994808,72008033,72343793,72387472,72629650,72836678,72973866,73312973,73458570,73479560,73645613,73780776,73910871,74433840,74836493,74842324,74935915,75221839,75329633,75359946,75820973,75910228,75984353,76198746,76277933,76443748,76700849,77225559,77348849,77718090,77768333,78057953,78201543,78314849,78355808,78574948,78791898,79009912,79018673,79149393,79396096,79845473,79948406,80630568,80698349,80994159,81012749,81220408,81404678,81435906,81545393,81639149,82044593,82073964,82247683,82324493,82372646,82664505,82803679,82899296,83003373,83738070,83820278,83959649,84037555,84051533,84164152,84218754,84411988,84631793,84940971,84943255,85693133,85874093,86084849,86418458,86460806,86595053,86684849,86736568,86873650,86983649,87155580,87341153,87430349,87655286,87912559,88150284,88175472,88229873,88253599,88368490,88671533,88886151,88955655,89007415,89257613,89320608,89397583,89432813,89782349,89869553,89923098,89933259,90033446,90217649,90506849,90593453,90709389,90744086,91372959,91598513,91798349,91855373,91916167,91925606,92706893,92965952,93097075,93261708,93364324,93970673,93974755,93998573,94054349,94249313,94684671,94886032,95166712,95262315,95472039,95794913,95986349,96721073,96749863,96848678,96893871,96992170,97300615,97578639,97707100,97725688,98011478,98243606,98347690,98410125,98545649,98835451,98943149,98946183,99128033,99170678,99197406,99732749,...,6909236807250248500225459725340148227894729698664658133111715178381108553464808786795088800369954693572181574300870891721957541100923823171514585181995607775011039630274455981090494786779602255942000005630493043876551087418458149713072626610085415249396864091069447954943077222317432143161782934682730031774400400941718480615936396314668882862604218446027882275528345288124223962229621373095909420523134401277825437735131370443583158934650677886640094236890182638032244640572347296890660315473096549851060107007474645858384370857331552217910843875840646658363971215406232881016876186483824132496181120696096273554155740812819035607797571888103626165779777781826234261884089478220918510240148050793943765510162526107454605909399628629458027357714329172460946688752319789845901774913356729699440228128083285480805925908417808153380760020808071848191488513210793794022447997626742126870109581243143370101585579920187571193801003615923412146005513412657669049864454372795741670702766192574590769582619279015078704429594946346628657732739464314443825533256454564463477316564840784578214727262377577414634932427744628460195116395568622254225685011489058252196545184143163112654428039698712340139565047231469226058688488255939552709129670821118555362253518673882176215714290330809609397792702972555387156979316051944452509678119765949498563051218404581558922024103419933580723817150082566093338417085089248574411336217705681965567348093193702977314087126053384429394391968285291101851300242603740614144939936966354352889095851596598220976364311371937346110414183829967405526946088778795556145495496984790589707246885565215844632697839222923799315680133531174365136096553553695340963796264317961573110400009645895035693717537780614005072582881562707205791231810693104464329293301957654600749375339191876674417874632280924115740120162127326914013502266244253893044028473370931677334153947794637853781499271093458159793347513146962771308838352413578020241376755472313884865897823615596333695199155938496143882192134548150921208977258478840580022654317528837818156834728685380751819660348315780494114967039676314912539591624886888500336620299100659158050678567482310088917954423885123902696260294467634152953658838213618041229766734006693607521713391001739030362378094873140602208753584293381213988714893504512578198356141895888938293476012036540943972708059619379514709867033504970423978089995531000356264864950373634920029457038116602210789834805509584553089478905769670385098802701910578228010524540096069031621131056305602001758717917181821168775056303536878526379108298105824038678402981861600211810053680426243856304115094414076232307524413203619012197169955597877840962850317989168642826542081164823217468894272068980968279474922029829295093577947942823051366890211667278369291101102773470218148523351687476398836662669188238794629476160803913219359291999302347537366777489848702062941019827460497653733240235998117075782242497234999968637647741989435934551314979952173189433772827005243035397587816172381886514920350503980765812012619052532488858405035622232269662382991862326583248371490964526085818853020540506714374436014552254535134251217849811602928067852469131605332442253224943180056822056254406534538112076938753264761273502135709240343252835522934117420278437768885362309708968251857954213085824458655621825109287105087165322576007339148769037958366018721643146556701754206339809942135370623872260128030339619979702825851938146109911433388110217555105625364046764074893277290251279700560104054626740438571385233992706815658362010898988912125354268500008204070626748483250864339893062352379229444647983633494327697412219979006671580224665667052254040731156350032706970929302859664238647013131433334474580749968500002602104895133003022814737754645439658660629761919346812840638954108634248440809}
23887 488410648452539220414687416711287153061720677317832706186946119685711740747630: {23887,358185,382064,429822,787809,1169777,1551485,1671110,1837913,1861782,2005332,2387300,2625590,2864760,3055744,3150708,3222855,3437712,3789129,3840977,3867426,4678324,4986113,5072169,5272397,5487110,5926449,6584532,6683320,7518735,7841057,8019984,8839817,8922518,8950875,9022482,9334929,9547600,9760017,10170713,10741050,11168297,11201510,11273009,11457120,12220928,12628310,12691924,12702989,12889260,12956285,13161953,13321529,13441812,13748544,13999017,14529590,14558297,14990957,15153972,15467112,15547542,15680798,15954710,16127332,16501385,16753193,16992929,17400501,17417537,17435508,17795649,17805977,18131320,18216417,18561233,18799697,18802790,18883709,19145652,19330985,19674494,19801662,19897329,20276777,20397735,21116417,21420473,21497366,21757584,22401140,22412217,22544126,22563348,22587149,22711864,22769537,22859885,23099993,23197182,24477282,24502017,24637118,24919329,24972905,25403846,25437110,25550847,26856710,26881368,26934809,27292408,27320393,27431862,28106420,28496633,28694932,29641094,29967486,29979398,30166310,30241539,30298673,30417675,30524532,30703959,31213949,31672193,31742729,31793222,31957046,32001137,32228052,32445520,32527910,32599997,32807217,32822582,32999990,33059897,33214838,33392585,33727704,33983006,34904909,34959113,35707289,36199572,36501210,36529142,37943667,38224406,38934624,38979417,39033492,39201677,39206297,39389169,39599988,40071102,40077014,40434329,40962713,40992760,41026017,41434689,41516153,41616017,42344420,42497777,42540734,42991124,43300455,43551998,43801452,43844285,43936646,44008049,44029133,44786273,45245990,45535238,45590727,45608873,45715910,45766217,45854692,46116855,46187152,46419233,47113982,47538849,47959382,48002285,48306113,49191312,49409753,49941590,50813304,51115574,51261137,51336662,51635297,51828953,51960546,52286297,52613142,52823606,53024177,53277172,53691773,54218678,54274675,54295188,54563033,54720568,54859092,55201017,55340226,55545908,55947518,56150548,56289809,56804169,57164967,57204417,57287033,57385048,57486233,57602742,59069846,59202417,59308790,59389622,59601369,59929908,60532646,60636797,60711110,60796929,60886673,61167929,61560639,61818548,62217140,62712664,62785209,62995457,63339038,63581108,63897254,63980390,64294615,64558179,64768089,64907609,65050340,65129610,65164017,65380310,65573153,66313190,66349118,66552905,66785606,66839693,67001524,67140417,67148489,67535049,68427326,68561332,69133673,69471584,69504969,70551747,70684329,71067857,71152589,71170548,71319485,71906153,72536884,72578969,72853332,72891053,72988457,73286475,73356905,73445009,73643633,73764710,74042189,74354324,74660568,74694710,74861177,74992017,75843329,75894497,76125524,76776468,76854975,76858109,76981313,77081849,77153538,77535250,77600248,77684237,77947190,78060408,78098285,78155532,78172240,78210086,78244973,78456372,79273569,79575828,79863486,79883462,80078993,80241113,80566289,80824017,80861846,81127409,81211089,81345208,81459593,81544577,81615878,81978640,82123190,82148285,82779878,83025278,83153369,83171729,83270873,83922326,83990175,83993139,84396617,84803009,85249517,85509977,85513385,85537433,85583382,85822052,85923833,86185229,86442518,86856905,86877428,87259073,87300279,87817959,87943770,88028286,88224593,88384793,88517652,88600553,88911494,89342057,89492489,89589520,89633652,89820029,89845268,89993510,90161368,90484340,90499817,91513359,91701688,91849450,91931309,92225970,92444054,92722809,92847713,93042300,93536628,93552905,93717942,93806688,93927233,93998537,94055897,94887785,94905833,95265209,95554685,95611289,95710937,95747453,95869709,96808013,97078397,97298488,97326662,97650849,97934753,97944760,97958993,98218685,98374368,98547828,98577942,98762390,99048737,99245120,99913017,...,9212315743000331333633946300453530970526306264886210844148953571174811404619745049060118400493272924762908765734494522295943388134565097562019446909327477033348052840365941308120659715706136341256000007507324058502068116557944199617430168813447220332529152121425930606590769629756576190882377246243640042365867201255624640821248528419558510483472291261370509700704460384165631949639495164127879227364179201703767250313508493924777545246200903848853458982520243517376326187429796395854213753964128733134746809343299527811179161143108736290547791834454195544485294953874977174689168248645098843328241494261461698072207654417092047477063429184138168221039703709101645682512119304294558013653530734391925020680216701476606141212532838172610703143619105563281262251669759719794535699884475639599253637504111047307741234544557077537841013361077429130921984684281058392029930663502322835826812774990857826802114106560250094925068004821231216194674017883543558733152605830394322227603688256766121026110159038686771605906126595128838210310319285752591767377675272752617969755419787712770952969683170103219513243236992837946926821860758163005634246681985411002928726912190884150205904052931616453519420062975292301411584651007919403612172894428158073816338024898509568287619053774412812530390270630073849542639088069259270012904159687932664750734957872775411896032137893244774298422866776754791117889446785664765881781623607575954089797457591603969752116168071179239192522624380388135801733656804987485526586582621805803852127802128797627968485748495916461480552245106623207369261451705060741527327329313054119609662514086954459510263785630565065754240178041565820181462071404927121285061685757282097480533346194526714258290050374152006763443842083609607721642414257472619105724402610206134332500452255835565890499509707898820986826882836435885351336354992338524058704631161242236445538597059517138375332361457944213057796684195950361745117803218104026988502340629751846487863764820795111593598874584661525176256179397534561611969677971787440030205756705117090875779638247174335759547131087707325486622719568419883386122166515851333782160398800878877400904756643080118557272565180165203595013725956845537271545117618157388306355645342258143362284521335652040483170793164187469611671445724508285318286524672683437597808189194518584391301349382054591963610746159172686279822711339960565304119994041333808353153267164846560039276050822136281053113074012779404119305207692893846798403602547437637347366053461425375494841408407469335678290556242428225033408404715838035172144397474432051571203975815466949080071573901658475072153459218768309743365884271492016262893274130503787950467090652224857102056108219764289958525696091974624372633229373105726791437263923764068489186948889704492388134803697960290864697802249968531782216892250985059505968214405217625812389332403130049822369986464936083921359769947330204977653647997489434376323329646666624850196989319247912735086639936230919245030436006990713863450421563175848686560467338641021082683492070043318477873380829643026216510655816435444331161987952701447758470694054008952499248019403006046845668290466415470570757136625508807109923004299924240075762741672542046050816102585004353015031336180945653791003780697245489893704583691847149746278624335810605617447765944874162433479049473449553763434676452198358717277821358295524195408935672275119746589513827498496346837373786159972937101135917528146548577850813623406807500485395685433191036387001706267413472072835653918095180311990275754211149347865318549500472358000010938760835664644334485786524083136505639259530644844659103596549626638675562106966220889403005387641541800043609294572403812885651529350841911112632774333291333336802806526844004030419650339527252878214173015892462417120851938811512331254412}
23888 490129221708141529367430561111409405243966966223345661097319221658289303604536: {334306,453511,477580,573096,620698,644733,739567,811546,1050412,1383706,1453447,2482376,2506665,2526298,2673776,2792673,2811586,2984125,3007998,3017647,3191746,3476698,3580950,3819680,3938385,4200944,4297140,4583616,4615066,4714111,4726062,4995847,5052172,5156568,5372698,5801139,5847905,6601666,6762892,7017486,7239367,7797367,7901932,7922146,8215111,8230665,8354150,8779376,8909911,9333466,9427426,9876798,10024980,10553698,10693312,10707967,11934500,12029976,12145306,12425698,12446572,13013356,13079386,13359298,13383777,13450447,13533723,13825498,14321400,14403511,15276160,15353047,15864905,15872026,16029127,16111575,16336066,16428826,16802265,17185680,17510167,17922416,18280666,18331392,18665356,18942465,19037886,19115911,19333890,19781911,19872881,20159165,20162718,20180647,20205296,20586466,20622816,20730056,21794385,22164607,22664150,22730958,22790626,23200668,23247344,23321313,23521197,23727532,23880857,23932065,24190998,24288556,25527536,25532866,26153262,26402216,26529772,26601607,27196980,27625498,28001425,28019287,28204185,28260706,28276111,28389830,28713946,28718478,29010112,29511741,29702493,29811007,29882956,30084464,30613186,30929576,31424986,31695298,32246049,32472127,32636376,32669356,33225772,33314146,33601710,33673186,33816189,33845022,34067796,34115510,34390498,34795773,35133025,35553946,35598727,35841824,35846911,35868665,36357826,36575816,36715923,36955677,37699111,37961698,38105769,38139586,38155665,38228506,38557927,38924911,39291247,39471706,39560386,39956648,40285065,40322052,40413758,40556900,40623298,40699376,40938612,40992247,41147793,42159630,42799087,42970736,43042398,43742956,44113807,44351911,44461641,44951229,44969097,44970272,45249465,45538111,45786798,46165786,46364167,46481887,46952047,47214298,47689833,47880497,47935569,48266096,48342078,48472111,48668280,48782746,48791865,49233873,49401487,49499985,49822257,49864447,50211917,50259298,50519386,50591556,50865946,50974509,51016807,51240950,51361111,51912832,51972556,52044656,52518892,52799984,52930525,53428136,53738905,53887426,54299358,54701356,54751815,54793713,54873581,55176346,55246252,56547226,56781847,57318365,57336609,57558511,57733940,57779767,58111111,58401936,58441807,58550238,59399982,59531746,60085567,60106653,60115521,60629887,60787636,61489140,62681887,63385132,63516630,63811101,64070911,64350298,64486686,64602466,65190298,65327997,65588416,65658511,65702178,65868967,65904969,66596465,66698266,67751072,67868985,67900217,68302857,68400710,68573865,68782038,68950498,69280728,69432385,70150856,70188185,70445506,70611298,70629967,70670973,71177057,71341111,71604706,71687386,71731310,71846911,71852698,71939073,72048727,72149527,72393584,72430786,73145456,73601356,73666906,73786968,74912385,75140047,75145498,75309466,75337111,75738892,76219956,76272556,76673361,76782298,76803656,77004993,77273185,77582647,77598298,77771425,77940819,78390830,78575386,78891197,78919713,78936556,79235409,79468492,79476385,79885207,79906544,79915758,79980247,80238977,80441698,81062572,81303247,81312925,81328017,81412066,81442782,81584911,82080852,82288638,82460698,82705087,83010339,83104666,83318862,83713612,83751905,83921277,84225822,85096567,85136177,85510426,85701665,86077572,86357452,86364127,86404113,86454127,86839480,86885356,87265498,87350167,87919937,88604769,88616386,88898537,88963185,89032807,89084433,89296111,89471287,89520556,89558767,89894862,90046732,90278746,90671105,90798969,90831298,90989026,91066665,91461826,91636687,91923881,92012698,92641306,92673292,92727822,92942905,93167911,93325710,94008511,94068996,94245772,94894064,95008557,95156905,95371662,95535298,95752958,95832487,95845881,95924698,95970585,96857626,96935266,97000310,97137127,97137776,97298911,97541047,97575510,97694415,97715300,98070465,98097946,98252698,98255213,98793826,99138727,99179866,99469785,99523677,99547424,99642586,99926767,99989356,...,13818473614500497000450919450680296455789459397329316266223430356762217106929617573590177600739909387144363148601741783443915082201847646343029170363991215550022079260548911962180989573559204511884000011260986087753102174836916299426145253220170830498793728182138895909886154444634864286323565869365460063548800801883436961231872792629337765725208436892055764551056690576248447924459242746191818841046268802555650875470262740887166317869301355773280188473780365276064489281144694593781320630946193099702120214014949291716768741714663104435821687751681293316727942430812465762033752372967648264992362241392192547108311481625638071215595143776207252331559555563652468523768178956441837020480296101587887531020325052214909211818799257258916054715428658344921893377504639579691803549826713459398880456256166570961611851816835616306761520041616143696382977026421587588044895995253484253740219162486286740203171159840375142387602007231846824292011026825315338099728908745591483341405532385149181539165238558030157408859189892693257315465478928628887651066512909128926954633129681569156429454524755154829269864855489256920390232791137244508451370022978116504393090368286326225308856079397424680279130094462938452117376976511879105418259341642237110724507037347764352431428580661619218795585405945110774313958632103888905019356239531898997126102436809163117844048206839867161447634300165132186676834170178497148822672435411363931134696186387405954628174252106768858788783936570582203702600485207481228289879873932708705778191703193196441952728622743874692220828367659934811053892177557591112290990993969581179414493771130431689265395678445847598631360267062348730272193107107390681927592528635923146220800019291790071387435075561228010145165763125414411582463621386208928658586603915309201498750678383753348835749264561848231480240324254653828027004532488507786088056946741863354668307895589275707562998542186916319586695026293925542617676704827156040482753510944627769731795647231192667390398311876992287764384269096301842417954516957681160045308635057675636313669457370761503639320696631560988229934079352629825079183249773777000673240598201318316101357134964620177835908847770247805392520588935268305907317676427236082459533468013387215043426782003478060724756189746281204417507168586762427977429787009025156396712283791777876586952024073081887945416119238759029419734067009940847956179991062000712529729900747269840058914076233204421579669611019169106178957811539340770197605403821156456021049080192138063242262112611204003517435834363642337550112607073757052758216596211648077356805963723200423620107360852487712608230188828152464615048826407238024394339911195755681925700635978337285653084162329646434937788544137961936558949844059658590187155895885646102733780423334556738582202205546940436297046703374952797673325338376477589258952321607826438718583998604695074733554979697404125882039654920995307466480471996234151564484994469999937275295483978871869102629959904346378867545654010486070795175632344763773029840701007961531624025238105064977716810071244464539324765983724653166496742981929052171637706041081013428748872029104509070268502435699623205856135704938263210664884506449886360113644112508813069076224153877506529522547004271418480686505671045868234840556875537770724619417936503715908426171648917311243650218574210174330645152014678297538075916732037443286293113403508412679619884270741247744520256060679239959405651703876292219822866776220435110211250728093528149786554580502559401120208109253480877142770467985413631316724021797977824250708537000016408141253496966501728679786124704758458889295967266988655394824439958013343160449331334104508081462312700065413941858605719328477294026262866668949161499937000005204209790266006045629475509290879317321259523838693625681277908217268496881618}
23889 491853802951951837611307921702437253896873303273207658811818587698863695185938: {47774,501459,596975,716370,764128,859644,931047,1217319,1313015,1575618,2075559,2172079,2339554,3102970,3342220,3675826,3723564,3789447,4010664,4217379,4511997,4774600,4787619,5215047,5251180,5371425,5729520,5892679,6111488,6301416,6315215,6445710,6875424,6922599,7089093,7578258,7681954,7734852,8059047,8453615,9356648,9877415,9902499,9972226,10144338,10526229,10544794,10974220,11852898,11883219,12320627,12531225,13169064,13322647,13366640,14000199,14141139,14815197,14918125,15037470,15458531,15558215,15682114,15830547,16039968,16266695,16610207,16754599,17679634,17845036,17901750,18044964,18138799,18217959,18638547,18669858,19095200,19466659,19520034,19619079,20038947,20041871,20341426,20738247,21460919,21482100,22336594,22403020,22546018,22897747,22914240,23101939,23289431,23331695,23808039,23884439,24441856,24504099,24643239,25256620,25383848,25405978,25748339,25778520,25912570,26323906,26643058,26883624,27063379,27420999,27497088,27998034,28320791,28556829,28727807,29000835,29028047,29059180,29116594,29659415,29981914,30244077,30307944,30360695,30879699,30934224,31095084,31361596,31832047,31909420,32003839,32254664,32457119,33002770,33162215,33506386,33566279,33677839,33985858,33996225,34096437,34185939,34219427,34801002,34835074,34871016,34962067,35591298,35611954,35777687,36262640,36286497,36432834,37122466,37353695,37599394,37605580,37767418,38291304,38299299,38661970,39229893,39348988,39603324,39794658,40553554,40723511,40795470,40836695,41438247,41532215,42232834,42391059,42584745,42840946,42994732,43070919,43077717,43515168,43813639,44802280,44824434,45088252,45126696,45174298,45423728,45539074,45719770,45864527,45919779,46199986,46394364,46512019,46749619,47137479,47542947,48410479,48954564,48981551,49004034,49209031,49274236,49766387,49838658,49945810,49971219,50402565,50509779,50696125,50767533,50807692,50874220,51101694,51173265,51585747,52871207,53330919,53713420,53762736,53869618,54536739,54584816,54640786,54678695,54863724,56212840,56942547,56993266,57209379,57291859,57342759,57389864,57545591,59207559,59258399,59282188,59340579,59934972,59958796,60332620,60483078,60597346,60620637,60835350,60934947,61049064,61252399,61381999,61407918,61734047,62427898,63239445,63344386,63485458,63586444,63914092,64002274,64456104,64563597,64891040,64965695,65055820,65199994,65234147,65614434,65645164,65648615,65999980,66119794,66429676,66785170,67203199,67455408,67966012,68049811,68376695,68680197,69057815,69248679,69488479,69809818,69859031,69918226,70821447,71414578,71449327,72167425,72399144,72513117,73002420,73058284,73174119,73705559,74623447,75388947,75779079,75887334,75984545,76298919,76448812,76861425,77818919,77869248,77958834,78066984,78403354,78412594,78778338,79199976,79231415,80142204,80154028,80622707,80736499,80831139,80868658,81449037,81466471,81925426,81985520,82052034,82157207,82764519,82869378,83032306,83232034,84688840,84820839,84979999,84995554,85081468,85982248,86600910,86798647,86823559,87103996,87602904,87688570,87825357,87873292,88016098,88058266,88437007,89099973,89297619,89500051,89572546,89817827,90012461,90491980,91070476,91181454,91217746,91431820,91532434,91709384,92001695,92233710,92374304,92838466,93174067,94227964,94673615,95077698,95274945,95340695,95755519,95877847,95918764,96004570,96020879,96525447,96612226,96730029,96903699,97111207,97519379,97785447,98336327,98382624,98553267,98670695,98819506,99335615,99358799,99847279,99883180,...,20727710421750745500676379176020444683684189095993974399335145535143325660394426360385266401109864080716544722902612675165872623302771469514543755545986823325033118890823367943271484360338806767826000016891479131629653262255374449139217879830256245748190592273208343864829231666952296429485348804048190095323201202825155441847809188944006648587812655338083646826585035864372671886688864119287728261569403203833476313205394111330749476803952033659920282710670547914096733921717041890671980946419289649553180321022423937575153112571994656653732531627521939975091913646218698643050628559451472397488543362088288820662467222438457106823392715664310878497339333345478702785652268434662755530720444152381831296530487578322363817728198885888374082073142987517382840066256959369537705324740070189098320684384249856442417777725253424460142280062424215544574465539632381382067343992880226380610328743729430110304756739760562713581403010847770236438016540237973007149593363118387225012108298577723772308747857837045236113288784839039885973198218392943331476599769363693390431949694522353734644181787132732243904797283233885380585349186705866762677055034467174756589635552429489337963284119096137020418695141694407678176065464767818658127389012463355666086760556021646528647142870992428828193378108917666161470937948155833357529034359297848495689153655213744676766072310259800742171451450247698280015251255267745723234008653117045896702044279581108931942261378160153288183175904855873305553900727811221842434819810899063058667287554789794662929092934115812038331242551489902216580838266336386668436486490954371769121740656695647533898093517668771397947040400593523095408289660661086022891388792953884719331200028937685107081152613341842015217748644688121617373695432079313392987879905872963802248126017575630023253623896842772347220360486381980742040506798732761679132085420112795032002461843383913561344497813280374479380042539440888313926515057240734060724130266416941654597693470846789001085597467815488431646576403644452763626931775436521740067962952586513454470504186056142255458981044947341482344901119028944737618774874660665501009860897301977474152035702446930266753863271655371708088780883402902458860976514640854123689300202020080822565140173005217091087134284619421806626260752880143641966144680513537734595068425687666814880428036109622831918124178858138544129601100514911271934269986593001068794594851120904760088371114349806632369504416528753659268436717309011155296408105731734684031573620288207094863393168916806005276153751545463506325168910610635579137324894317472116035208945584800635430161041278731568912345283242228696922573239610857036591509866793633522888550953967505928479626243494469652406682816206942904838424766089487885280733843828469154100670635001835107873303308320410654445570055062429196509988007564716383888428482411739658077875997907042612100332469546106188823059482381492961199720707994351227346727491704999905912943225968307803653944939856519568301318481015729106192763448517145659544761051511942297436037857157597466575215106866696808987148975586979749745114472893578257456559061621520143123308043656763605402753653549434808784203557407394815997326759674829540170466168763219603614336230816259794283820506407127721029758506568802352260835313306656086929126904755573862639257473375966865475327861315261495967728022017446307113875098056164929439670105262619019429826406111871616780384091018859939108477555814438329734300164330652665316876092140292224679831870753839101680312163880221315714155701978120446975086032696966736376062805500024612211880245449752593019679187057137688333943950900482983092236659937020014740673997001156762122193469050098120912787908578992715941039394300003423742249905500007806314685399009068444213263936318975981889285758040438521916862325902745322427}
23890 493584413051241125050862702291072954379527895579342029528276219079743454552257: {71661,262669,405841,668612,907022,955160,1074555,1146192,1241396,1289466,1406029,1479134,1623092,1691149,2100824,2118289,2363427,2402689,2767412,2906894,3254161,3509331,3537409,4177775,4654455,4964752,5013330,5052596,5347552,5371501,5513739,5585346,5623172,5968250,6015996,6035294,6073681,6213901,6383492,6563975,6634129,6953396,7161900,7639360,7876770,8187067,8308561,8401888,8447629,8594280,9167232,9230132,9428222,9452124,9668565,9991694,10104344,10110829,10313136,10387021,10745396,11367387,11488909,11522931,11602278,11695810,12175249,12996481,13133101,13203332,13269649,13525784,13717775,13815121,13951309,14034972,14478734,14958339,15216507,15594734,15803864,15817191,15844292,16255489,16430222,16461330,16708300,17558752,17779347,17819822,17869441,18666932,18672529,18854852,19073101,19753596,19872301,20049960,20403661,21107396,21330769,21386624,21415934,21727021,21858961,22210867,22306295,22517581,22556205,23174401,23305549,23523171,23567629,23869000,24059952,24290612,24851396,24893144,25134061,26026712,26158772,26172589,26431501,26519451,26718596,26767554,26819329,26852625,26900894,27067446,27077521,27650996,28003775,28004787,28222831,28642800,28807022,28876801,29280051,29771149,30512139,30552320,30706094,31570775,31675729,31729810,31744052,31753667,32058254,32223150,32672132,32857652,33187729,33438721,33504891,33564109,33604530,33819027,34064941,34371360,35020334,35311981,35808781,35844832,35932801,36056749,36323975,36561332,36662784,37330712,37661521,37884930,38075772,38108967,38231822,38398081,38667780,38868855,39201995,39485859,39563822,39745762,39886775,39964587,39985069,40228141,40318330,40325436,40361294,40410592,41172932,41245632,41318401,41460112,41997051,42042001,43361869,43588770,43674891,43720321,44316301,44329214,44554189,44972871,45147649,45328300,45461916,45502861,45581252,46401336,46494688,46642626,46799761,47006975,47042394,47455064,47761714,47854381,47864130,48381996,48554221,48577112,49135441,49186235,49504155,50216131,50259579,50292481,50978787,51055072,51065732,51556909,52014541,52201503,52252611,52306524,52804432,53059544,53203214,53386947,53417931,53743415,54285421,54393960,54398209,54649251,55250996,55683699,55746049,56002850,56038574,56360315,56399091,56408370,56521412,56527501,56552222,56651127,56779660,57194509,57416269,57427892,57436956,57969409,57992955,58020224,58850689,59023482,59070289,59404986,59622014,59691987,59765912,60168928,60490669,60830331,61033729,61193205,61226372,61358701,61592795,61859152,62114449,62849972,62866669,63349251,63390596,63401809,63509615,63592775,64147981,64261419,64492098,64784749,64944254,65102161,65272752,65338712,66365329,66451544,66628292,67097389,67141775,67203420,67236651,67346372,67632378,67690044,67761447,68135592,68231020,68308611,68579655,68757421,68780996,69299979,69591546,69785581,69888001,70266050,70501009,71107892,71197454,71212909,71683648,71693822,71737330,71921281,72324481,72715652,72927121,73151632,73431846,73506051,73911354,74025229,74102735,74223949,74757987,74918715,74948495,75234467,75398222,75415775,75705169,75803341,75923396,76211538,76279172,76311330,76457012,76652541,77115854,77849822,78137869,78234241,78426769,78582494,78943412,79120772,79483055,79575889,79892615,79913296,80245711,80336209,80570130,80644104,80804427,80827516,81113800,81246596,81319775,81398752,81561901,81749389,81877224,81961179,81984494,82056455,82295586,82499975,83037095,83146369,84319260,84801361,84957515,84983809,85489899,85598174,85941472,86072449,86084796,86612881,86702701,87485912,87507841,88227614,88703822,88923282,89888269,89902458,89938194,89940544,90498930,90670081,90724617,90896019,90929389,91076222,91253025,91322855,91573596,91874641,92111877,92331572,92726401,92728334,92895889,92963774,93235051,93486829,93641847,93655021,93904094,94074241,94428596,94741249,95016579,95155789,95228187,95379666,95561015,95650861,95760994,95871138,96003411,96470221,96532192,96684156,96795949,96944222,97039489,97205339,97336560,97565492,97583730,97799991,98167441,98263459,98421651,98467746,98487121,98566861,98802974,98999970,99179691,99202189,99644514,99675661,99728894,...,27636947229000994000901838901360592911578918794658632532446860713524434213859235147180355201479818774288726297203483566887830164403695292686058340727982431100044158521097823924361979147118409023768000022521972175506204349673832598852290506440341660997587456364277791819772308889269728572647131738730920127097601603766873922463745585258675531450416873784111529102113381152496895848918485492383637682092537605111301750940525481774332635738602711546560376947560730552128978562289389187562641261892386199404240428029898583433537483429326208871643375503362586633455884861624931524067504745935296529984724482784385094216622963251276142431190287552414504663119111127304937047536357912883674040960592203175775062040650104429818423637598514517832109430857316689843786755009279159383607099653426918797760912512333141923223703633671232613523040083232287392765954052843175176089791990506968507480438324972573480406342319680750284775204014463693648584022053650630676199457817491182966682811064770298363078330477116060314817718379785386514630930957857257775302133025818257853909266259363138312858909049510309658539729710978513840780465582274489016902740045956233008786180736572652450617712158794849360558260188925876904234753953023758210836518683284474221449014074695528704862857161323238437591170811890221548627917264207777810038712479063797994252204873618326235688096413679734322895268600330264373353668340356994297645344870822727862269392372774811909256348504213537717577567873141164407405200970414962456579759747865417411556383406386392883905457245487749384441656735319869622107784355115182224581981987939162358828987542260863378530791356891695197262720534124697460544386214214781363855185057271846292441600038583580142774870151122456020290331526250828823164927242772417857317173207830618402997501356767506697671498529123696462960480648509307656054009064977015572176113893483726709336615791178551415125997084373832639173390052587851085235353409654312080965507021889255539463591294462385334780796623753984575528768538192603684835909033915362320090617270115351272627338914741523007278641393263121976459868158705259650158366499547554001346481196402636632202714269929240355671817695540495610785041177870536611814635352854472164919066936026774430086853564006956121449512379492562408835014337173524855954859574018050312793424567583555753173904048146163775890832238477518058839468134019881695912359982124001425059459801494539680117828152466408843159339222038338212357915623078681540395210807642312912042098160384276126484524225222408007034871668727284675100225214147514105516433192423296154713611927446400847240214721704975425216460377656304929230097652814476048788679822391511363851401271956674571306168324659292869875577088275923873117899688119317180374311791771292205467560846669113477164404411093880872594093406749905595346650676752955178517904643215652877437167997209390149467109959394808251764079309841990614932960943992468303128969988939999874550590967957743738205259919808692757735091308020972141590351264689527546059681402015923063248050476210129955433620142488929078649531967449306332993485963858104343275412082162026857497744058209018140537004871399246411712271409876526421329769012899772720227288225017626138152448307755013059045094008542836961373011342091736469681113751075541449238835873007431816852343297834622487300437148420348661290304029356595076151833464074886572586226807016825359239768541482495489040512121358479918811303407752584439645733552440870220422501456187056299573109161005118802240416218506961754285540935970827262633448043595955648501417074000032816282506993933003457359572249409516917778591934533977310789648879916026686320898662668209016162924625400130827883717211438656954588052525733337898322999874000010408419580532012091258951018581758634642519047677387251362555816434536993763236}
23891 495321072945287478791168517795260888336026145797883580887981288468919177006952: {95548,835765,1002918,1193950,1360533,1432740,1528256,1551745,1719288,1838221,1862094,1934199,2028865,2218701,2434638,2626030,2888149,3151236,3459265,4151118,4344158,4360341,4679108,6035821,6205940,6315745,6684440,6894673,7028965,7351652,7447128,7519995,7578894,7979365,8021328,8378019,8434758,8691745,8841301,8952375,9023994,9052941,9549200,9575238,10430094,10502360,10742850,11459040,11537665,11785358,11815155,11835061,12222976,12321661,12602832,12630430,12891420,13431745,13750848,13828381,13845198,13891141,14142333,14178186,14560741,14987541,15156516,15363908,15469704,15982549,16118094,16504165,16611601,16907230,17403417,17420461,17543715,17550181,18269173,18564349,18713296,19037773,19754830,19804998,19805365,19944452,20043553,20280181,20288676,20683069,20885375,21052458,21089588,21424069,21718101,21781501,21948440,22468861,22773373,23333665,23392101,23568565,23705796,23766438,23985733,24641254,24645333,24691995,24694081,25062450,26338128,26384245,26645294,26694373,26729733,26733280,27523873,27980821,28000398,28282278,29537041,29542381,29630394,29702293,29836250,30074940,30273949,30363265,30917062,31064245,31116430,31364228,31661094,32079936,32107549,32123901,32533390,32664373,32698465,33182941,33220414,33398245,33509198,34563745,34695541,35359268,35690072,35780701,35803500,36089928,36124321,36277598,36299989,36435918,36677341,37277094,37339716,37515253,38190400,38933318,39040068,39238158,39680065,40077894,40083742,40151331,40351341,40441141,40601169,40682852,40818241,40840165,41072065,41476494,41523181,42103969,42282721,42504973,42921838,42964200,43210533,43224613,43232173,43532029,44673188,44806040,45092036,45644881,45701665,45795494,45828480,46059141,46203878,46427101,46578862,46663390,46673761,47594715,47616078,47768878,48087381,48101821,48334725,48883712,49008198,49286478,49770589,50287501,50361313,50406795,50513240,50767696,50811956,51269773,51466165,51496678,51557040,51825140,52295173,52359589,52530501,52647812,52875661,53286116,53767248,54126758,54841998,54935749,54994176,55210741,55996068,56641582,56660375,56827395,56976565,57113658,57171373,57347733,57455614,58001670,58056094,58118360,58145101,58233188,58475821,58814821,59091349,59318830,59345733,59496289,59618643,59963828,60352693,60477495,60488154,60541941,60615888,60721390,61358113,61759398,61868448,62190168,62723192,63664094,63818840,63832165,64007678,64509328,64914238,65239669,65383155,66005540,66324430,66493821,66782221,67012772,67132558,67355678,67971716,67992450,68192874,68371878,68438854,69063745,69347461,69595969,69602004,69670148,69742032,69924134,69963939,70378429,70563591,70651765,70974575,71182596,71223908,71555374,71642571,71784865,71796195,71918341,72525280,72572994,72865668,72944509,74244932,74707390,75083233,75198788,75211160,75534836,76532965,76550173,76582608,76598598,77094901,77323940,78459786,78562465,78697976,78788701,79206648,79238245,79294273,79330501,79589316,79804821,80879101,81107108,81141181,81285013,81447022,81590940,81673390,82164181,82560673,82753813,82876494,83064430,83185741,83285365,84004275,84057861,84182965,84465668,84612555,84782118,84828333,84879181,85169490,85288775,85681892,85741909,85976245,85989464,86141838,86155434,86703889,87030336,87627278,88535223,88764961,88884865,89107479,89433021,89435221,89604560,89648868,90176504,90253392,90335509,90348596,90847456,90894565,90951973,91078148,91439540,91729054,91839558,91908061,92399972,92691661,92788728,93024038,93499238,94014373,94274958,94465681,94904245,95085894,95281381,95348965,95571265,95727373,96680941,96738147,96820958,96824401,97094881,97416381,97527613,97909128,97963102,98008068,98418062,98548472,98608981,98679265,98900965,98992861,99261121,99532774,99534829,99677316,99891620,99942438,...,41455420843501491001352758352040889367368378191987948798670291070286651320788852720770532802219728161433089445805225350331745246605542939029087511091973646650066237781646735886542968720677613535652000033782958263259306524510748898278435759660512491496381184546416687729658463333904592858970697608096380190646402405650310883695618377888013297175625310676167293653170071728745343773377728238575456523138806407666952626410788222661498953607904067319840565421341095828193467843434083781343961892838579299106360642044847875150306225143989313307465063255043879950183827292437397286101257118902944794977086724176577641324934444876914213646785431328621756994678666690957405571304536869325511061440888304763662593060975156644727635456397771776748164146285975034765680132513918739075410649480140378196641368768499712884835555450506848920284560124848431089148931079264762764134687985760452761220657487458860220609513479521125427162806021695540472876033080475946014299186726236774450024216597155447544617495715674090472226577569678079771946396436785886662953199538727386780863899389044707469288363574265464487809594566467770761170698373411733525354110068934349513179271104858978675926568238192274040837390283388815356352130929535637316254778024926711332173521112043293057294285741984857656386756217835332322941875896311666715058068718595696991378307310427489353532144620519601484342902900495396560030502510535491446468017306234091793404088559162217863884522756320306576366351809711746611107801455622443684869639621798126117334575109579589325858185868231624076662485102979804433161676532672773336872972981908743538243481313391295067796187035337542795894080801187046190816579321322172045782777585907769438662400057875370214162305226683684030435497289376243234747390864158626785975759811745927604496252035151260046507247793685544694440720972763961484081013597465523358264170840225590064004923686767827122688995626560748958760085078881776627853030114481468121448260532833883309195386941693578002171194935630976863293152807288905527253863550873043480135925905173026908941008372112284510917962089894682964689802238057889475237549749321331002019721794603954948304071404893860533507726543310743416177561766805804917721953029281708247378600404040161645130280346010434182174268569238843613252521505760287283932289361027075469190136851375333629760856072219245663836248357716277088259202201029822543868539973186002137589189702241809520176742228699613264739008833057507318536873434618022310592816211463469368063147240576414189726786337833612010552307503090927012650337821221271158274649788634944232070417891169601270860322082557463137824690566484457393845146479221714073183019733587267045777101907935011856959252486988939304813365632413885809676849532178975770561467687656938308201341270003670215746606616640821308891140110124858393019976015129432767776856964823479316155751995814085224200664939092212377646118964762985922399441415988702454693454983409999811825886451936615607307889879713039136602636962031458212385526897034291319089522103023884594872075714315194933150430213733393617974297951173959499490228945787156514913118123243040286246616087313527210805507307098869617568407114814789631994653519349659080340932337526439207228672461632519588567641012814255442059517013137604704521670626613312173858253809511147725278514946751933730950655722630522991935456044034892614227750196112329858879340210525238038859652812223743233560768182037719878216955111628876659468600328661305330633752184280584449359663741507678203360624327760442631428311403956240893950172065393933472752125611000049224423760490899505186039358374114275376667887901800965966184473319874040029481347994002313524244386938100196241825575817157985431882078788600006847484499811000015612629370798018136888426527872637951963778571516080877043833724651805490644854}
23892 497063803645622956055601404665352166768441395873427589635929990244488875657114: {119435,143322,310427,453587,525338,548987,811682,1337224,1406147,1453691,1504377,1738787,1790925,1814044,1881227,1910320,2149110,2292384,2450267,2482792,2578932,2793141,2812058,2958268,3112691,3246184,3301667,3382298,3537707,3584891,3651957,3939045,4103387,4201648,4236578,4726854,4805378,5278187,5418827,5534824,5813788,5848885,6214427,6226677,6354587,6508322,6516237,6681347,6914507,7018662,7074818,7333691,7757425,7798691,8309267,8355550,9003947,9189565,9308910,9835187,9929504,10026660,10105192,10157747,10695104,10743002,10801691,11027478,11170692,11246344,11368341,11936500,12031992,12070588,12147362,12176291,12221987,12427802,12652137,12766984,13127950,13268258,13316291,13535991,13906792,13952507,13997891,14270027,14323800,14362857,14903891,15278720,15645141,15753540,15851747,16031891,16114275,16374134,16617122,16661387,16803776,16895258,16975547,17188560,17602691,17678037,18334464,18460264,18718691,18856444,18904248,18941291,18945645,19119227,19204885,19337130,19341467,19652267,19874027,19983388,20208688,20221658,20272691,20626272,20767797,20774042,21112187,21267279,21332627,21490792,22256291,22694891,22734774,22977818,23045862,23204556,23351291,23391620,23569691,23613347,23744267,24177141,24350498,24930565,25266347,25360845,25569587,25992962,26174891,26218067,26266202,26361985,26406664,26539298,26606291,27051568,27079907,27251891,27435550,27509627,27630242,27724187,27902618,28069944,28281107,28922027,28957468,29632245,29707497,29773787,29816291,29916678,30433014,30664691,31087691,31189468,31228813,31578687,31607728,31634382,31678547,31688584,31973387,32309867,32510978,32561891,32729747,32860444,32922660,33232547,33416600,33817691,34067987,34484507,34609307,35117504,35558694,35639644,35649657,35687891,35738882,35853347,35936027,36059987,36101291,36961881,36966827,37333864,37345058,37527061,37593675,37705907,37709704,38146202,38156291,38401547,38931947,39205285,39420347,39507192,39744602,39785891,39967941,40099920,40807322,40999691,41362427,41563667,41804891,42000597,42214792,42406691,42423417,42661538,42766907,42773248,42831868,43454042,43717922,43764107,44002691,44199085,44360027,44421734,44445591,44612590,44754375,44835467,45035162,45112410,45546467,46348802,46375593,46568891,46611098,46674645,46804067,47046342,47135258,47312627,47491641,47738000,48119904,48558707,48581224,48800085,49294691,49526507,49702792,49786288,49830621,50263797,50268122,50297147,50853565,51026291,51370667,51447107,51561707,51790691,52053424,52317544,52345178,52703747,52863002,52969187,53038902,53437192,53535108,53638658,53705250,53801788,54134892,54155042,54416397,54440891,54653877,54882793,54966227,55301992,55527347,55841485,55915641,56007550,56009574,56365045,56445662,56681291,57199907,57285600,57458627,57614044,57753602,57753827,58122107,58195667,58399977,58560102,58857237,58892891,59112467,59542298,59660147,60116841,60125613,60169691,60496427,61024278,61039547,61104640,61412188,61832867,62012627,62156291,62214741,63015587,63141550,63351458,63459620,63488104,63507334,63514945,64116508,64154147,64382757,64446300,64781425,64790987,64826291,65344264,65715304,65809765,66375458,66607645,66720827,66877442,67009782,67103891,67128218,67138667,67209060,67638054,67936307,68129882,68454227,68693241,68695307,68742720,68860729,68970347,69176291,69305817,69868293,69894827,69995085,70040668,70507907,70623962,70711691,71355107,71424117,71617562,71653317,71689664,71865602,71928347,72029267,72113498,72365147,72647950,72791485,73122664,73325568,73434587,73512297,73567691,73767107,73929717,74032547,74264387,74561891,74661424,74858747,74954785,75023387,75240781,75323042,75769860,75843587,76007027,76151544,76217934,76398467,76463644,76691291,76796162,77245017,77335560,77372027,77662691,77737710,78274187,78403990,78434627,78466691,78658907,78904441,78971718,79127644,79491524,79583891,79615667,79773550,79929174,79970138,80344307,80375891,80456282,80636660,80650872,80722588,80722787,80817227,80821184,81005891,81131507,81190137,81601427,81663947,81757667,81976067,82262997,82345864,82491264,82506925,82636802,82876691,82920224,83185691,83765965,83985347,83994102,84077267,84084002,84840467,84962373,84964645,84992507,85628891,85670487,85900547,86081291,86111387,86183421,86229913,86531891,86711627,86723738,87002505,87084141,87087685,87177540,87349782,87440642,87457427,87546587,88493147,88610891,88632602,88658428,88787267,88913461,88978245,89029885,89108378,89373107,89810387,89897627,89945742,90295298,90621827,90656600,90732231,90923832,90938891,91005722,91082085,91162504,91827227,92509691,92639097,92802672,92806165,92989376,93285252,93328187,93524747,93599522,93998485,94013950,94084187,94084788,94362707,94418545,94778987,94910128,95496141,95523428,95708762,95728260,95825507,96011517,96098987,96654925,96763992,96914627,97108442,97154224,97371357,97615691,98270882,98372470,98657147,99008310,99212891,99486645,99843707,...,62183131265252236502029137528061334051052567287981923198005436605429976981183279081155799203329592242149634168707838025497617869908314408543631266637960469975099356672470103829814453081016420303478000050674437394888959786766123347417653639490768737244571776819625031594487695000856889288456046412144570285969603608475466325543427566832019945763437966014250940479755107593118015660066592357863184784708209611500428939616182333992248430411856100979760848132011643742290201765151125672015942839257868948659540963067271812725459337715983969961197594882565819925275740938656095929151885678354417192465630086264866461987401667315371320470178146992932635492018000036436108356956805303988266592161332457145493889591462734967091453184596657665122246219428962552148520198770878108613115974220210567294962053152749569327253333175760273380426840187272646633723396618897144146202031978640679141830986231188290330914270219281688140744209032543310709314049620713919021448780089355161675036324895733171316926243573511135708339866354517119657919594655178829994429799308091080171295849083567061203932545361398196731714391849701656141756047560117600288031165103401524269768906657288468013889852357288411061256085425083223034528196394303455974382167037390066998260281668064939585941428612977286484580134326752998484412813844467500072587103077893545487067460965641234030298216930779402226514354350743094840045753765803237169702025959351137690106132838743326795826784134480459864549527714567619916661702183433665527304459432697189176001862664369383988787278802347436114993727654469706649742514799009160005309459472863115307365221970086942601694280553006314193841121201780569286224868981983258068674166378861654157993600086813055321243457840025526045653245934064364852121086296237940178963639717618891406744378052726890069760871690528317041661081459145942226121520396198285037396256260338385096007385530151740684033493439841123438140127618322664941779545171722202182172390799250824963793080412540367003256792403446465294939729210933358290880795326309565220203888857759540363411512558168426766376943134842024447034703357086834212856324623981996503029582691905932422456107107340790800261589814966115124266342650208707376582929543922562371067900606060242467695420519015651273261402853858265419878782258640430925898434041540613203785205277063000444641284108328868495754372536574415632388803301544733815802809959779003206383784553362714280265113343049419897108513249586260977805310151927033465889224317195204052094720860864621284590179506750418015828461254636390518975506731831906737411974682952416348105626836754401906290483123836194706737035849726686090767719718832571109774529600380900568665652861902517785438878730483408957220048448620828714515274298268463655842201531485407462302011905005505323619909924961231963336710165187287589529964022694149151665285447235218974233627993721127836300997408638318566469178447144478883599162123983053682040182475114999717738829677904923410961834819569558704903955443047187318578290345551436978634283154535826892308113571472792399725645320600090426961446926760939249235343418680734772369677184864560429369924130970290816208260960648304426352610672222184447991980279024488620511398506289658810843008692448779382851461519221383163089275519706407056782505939919968260787380714266721587917772420127900596425983583945784487903184066052338921341625294168494788319010315787857058289479218335614850341152273056579817325432667443314989202900492991957995950628276420876674039495612261517305040936491640663947142467105934361340925258098090900209128188416500073836635640736349257779059037561171413065001831852701448949276709979811060044222021991003470286366580407150294362738363725736978147823118182900010271226749716500023418944056197027205332639791808956927945667857274121315565750586977708235967281}
23893 498812626236281287927222531010428965351080145936647315367010964461181338449897: {23893,191096,214983,788007,1170071,1217523,1671530,2005836,2172443,2267555,2387900,2721066,2840411,2865480,3056512,3103490,3223665,3413267,3438576,3676442,3697835,3724188,3868398,4057730,4218087,4437402,4842971,4869276,5073447,5252060,5776298,6302472,6354867,6918530,7090281,7133243,7208067,7267235,7705811,8302236,8688316,8720682,8842043,9358216,9762483,9840551,10527993,10612227,11171111,12071642,12168443,12411880,12533325,12631490,13368880,13789346,13963365,14057930,14561963,14703304,14894256,14920625,15039990,15088235,15157788,15958730,16042656,16114503,16152731,16416803,16541217,16756038,16869516,17383490,17421923,17682602,17904750,18047988,18105882,18221043,18565907,18641703,18804443,18888467,19098400,19150476,19469927,19691925,19902387,20281883,20741123,20860188,21004720,21277511,21425867,21485700,22901591,22918080,23075330,23105831,23564903,23570555,23570716,23630310,23670122,24443627,24445952,24561201,24643322,24925683,24979235,25205664,25260860,25342887,25566371,25782840,26863490,27501696,27599267,27656762,27690396,27727511,27782282,28284666,28356372,28503827,29005695,29121482,29239525,29975082,30313032,30332487,30727816,30939408,31161063,31750727,31965098,32236188,32608211,32667131,32995991,33008330,33011987,33068243,33223202,33814460,34102161,34466727,34568793,34806834,34840922,34913723,35087430,35100362,36196835,36303047,36525747,36538346,36937943,37128698,37426592,37886483,38075546,38986835,38989443,39216203,39399303,39509660,39609996,39610730,39808947,39888904,40087106,40560362,40577352,41075555,41153325,41366138,41445363,41626523,41770750,41853927,42104916,42179176,42286283,42508571,42528167,42848138,42899987,43436202,43489943,43563002,43896880,44040251,44549555,44875017,44937722,45007691,45546746,45620387,45649521,45777851,46667330,46757543,46784202,47137130,47411592,47451573,47532876,47971466,48318311,48389243,48766467,49282508,49290666,49383990,49388162,50124900,50291747,51014867,52676256,52768490,53037563,53290588,53338041,53388746,53459466,53466560,53539835,53608323,53834507,54940391,55047746,55552091,55961642,56000796,56017587,56304023,56564556,57176231,57219303,57301511,57500891,58819787,58972931,59074082,59084762,59096327,59260788,59404586,59430683,59568827,59616903,59672500,60149880,60547898,60726530,61210983,61834124,62128490,62232860,62398547,62728456,63306011,63322188,63982331,63992307,64159872,64215098,64247802,64924067,65066780,65181063,65328746,65396930,65576883,65589707,66365882,66440828,66632601,66796490,66856571,66918885,67018396,67252235,67552743,67668615,69127490,69353303,69391082,69523203,69916647,70569513,70702887,70718536,70974107,71380144,71561402,71607000,72017555,72052631,72179856,72248642,72555196,72599978,72871836,73006883,73354682,73463687,74395691,74554188,74679432,75030506,75402183,76380800,76765235,77000747,77101427,77866636,78080136,78264731,78476316,78517767,78924443,79294503,79324525,79360130,79558353,79767191,80099291,80145635,80155788,80167484,80261387,80302662,80457987,80557875,80702682,80882282,81202338,81232563,81365704,81565163,81636482,81680330,82144130,82376087,82952988,83046362,83174507,84011325,84014361,84207938,84417923,84565442,84668493,84824423,84994403,85009946,85559027,85843676,85928400,86207147,86421066,86449226,86464346,86630403,87064058,87550835,87840153,88246871,88623011,89313447,89346376,89365031,89612080,90184072,90522683,90933347,91289762,91403330,91536417,91590988,91656960,91954523,92118282,92407756,92854202,93157724,93326780,93347522,93950951,94712325,94864967,95027187,95189430,95232156,95261001,95537756,95579555,95771651,95894123,96174762,96203642,96457427,96669450,96689243,97103123,97767424,98016396,98572956,98617307,98909555,98912471,99073763,99269483,99364405,99487307,99541178,99563187,...,82910841687002982002705516704081778734736756383975897597340582140573302641577705441541065604439456322866178891610450700663490493211085878058175022183947293300132475563293471773085937441355227071304000067565916526518613049021497796556871519321024982992762369092833375459316926667809185717941395216192760381292804811300621767391236755776026594351250621352334587306340143457490687546755456477150913046277612815333905252821576445322997907215808134639681130842682191656386935686868167562687923785677158598212721284089695750300612450287978626614930126510087759900367654584874794572202514237805889589954173448353155282649868889753828427293570862657243513989357333381914811142609073738651022122881776609527325186121950313289455270912795543553496328292571950069531360265027837478150821298960280756393282737536999425769671110901013697840569120249696862178297862158529525528269375971520905522441314974917720441219026959042250854325612043391080945752066160951892028598373452473548900048433194310895089234991431348180944453155139356159543892792873571773325906399077454773561727798778089414938576727148530928975619189132935541522341396746823467050708220137868699026358542209717957351853136476384548081674780566777630712704261859071274632509556049853422664347042224086586114588571483969715312773512435670664645883751792623333430116137437191393982756614620854978707064289241039202968685805800990793120061005021070982892936034612468183586808177118324435727769045512640613152732703619423493222215602911244887369739279243596252234669150219159178651716371736463248153324970205959608866323353065345546673745945963817487076486962626782590135592374070675085591788161602374092381633158642644344091565555171815538877324800115750740428324610453367368060870994578752486469494781728317253571951519623491855208992504070302520093014495587371089388881441945527922968162027194931046716528341680451180128009847373535654245377991253121497917520170157763553255706060228962936242896521065667766618390773883387156004342389871261953726586305614577811054507727101746086960271851810346053817882016744224569021835924179789365929379604476115778950475099498642662004039443589207909896608142809787721067015453086621486832355123533611609835443906058563416494757200808080323290260560692020868364348537138477687226505043011520574567864578722054150938380273702750667259521712144438491327672496715432554176518404402059645087737079946372004275178379404483619040353484457399226529478017666115014637073746869236044621185632422926938736126294481152828379453572675667224021104615006181854025300675642442542316549299577269888464140835782339202541720644165114926275649381132968914787690292958443428146366039467174534091554203815870023713918504973977878609626731264827771619353699064357951541122935375313876616402682540007340431493213233281642617782280220249716786039952030258865535553713929646958632311503991628170448401329878184424755292237929525971844798882831977404909386909966819999623651772903873231214615779759426078273205273924062916424771053794068582638179044206047769189744151428630389866300860427466787235948595902347918998980457891574313029826236246486080572493232174627054421611014614197739235136814229629579263989307038699318160681864675052878414457344923265039177135282025628510884119034026275209409043341253226624347716507619022295450557029893503867461901311445261045983870912088069785228455500392224659717758680421050476077719305624447486467121536364075439756433910223257753318937200657322610661267504368561168898719327483015356406721248655520885262856622807912481787900344130787866945504251222000098448847520981799010372078716748228550753335775803601931932368946639748080058962695988004627048488773876200392483651151634315970863764157577200013694968999622000031225258741596036273776853055745275903927557143032161754087667449303610981289708}
23894 500567561874046426759021052413331290179779510049837170852239413888057543751562: {167209,238870,286644,620854,882709,907174,1050676,1097974,1453813,1596409,1623364,2507295,2674448,2812294,2907382,2984875,3008754,3018409,3477574,3581850,3585193,3628088,3762454,3820640,4081599,4298220,4584768,4655235,4900534,4965584,5157864,5278633,5514663,5586282,5624116,5802597,5916536,6086595,6225382,6401833,6492368,6565075,6603334,6656103,6764596,7075414,7169782,7303914,7380853,7799353,7878090,7938709,8188439,8206774,8403296,8473156,8664447,9328309,9453708,9610756,9882133,10377795,10556374,10837654,10848553,10860395,11069648,11627576,11697770,12223033,12428854,12453354,12709174,12865391,13016644,13032474,13081023,13362694,13829014,13999093,14037324,14149636,14667382,14950393,15514850,15597382,16033273,16618534,16711100,16842409,17380393,18007894,18107463,18379130,18617820,18947235,18987433,19653973,19670374,19859008,20053320,20185909,20210384,20315494,20318713,20684019,21086895,21390208,21486004,21603382,22054956,22341384,22492688,22559985,22736682,23615413,23873000,23938095,24063984,24141176,24294724,24352582,24443974,24791209,24855604,25134057,25304274,25441909,25533968,26075235,26220373,26255900,26523903,26536516,26632582,26857125,26886839,27071982,27158823,27813584,27905014,27995782,28540054,28647600,28725714,29463395,29807782,29818933,29946409,30557440,31290282,31507080,31576075,31703494,32063782,32228550,32480809,32606773,32748268,33234244,33322774,33607552,33790516,33951094,34377120,34612995,34902791,35205382,35356074,35445465,35505183,36104533,36668928,36906779,36920528,36964983,37437382,37712888,37808496,37882582,37891290,38200633,38238454,38409770,38568373,38674260,38682934,38690809,39304534,39423913,39748054,39789493,39966776,40295235,40397353,40417376,40443316,40545382,41124409,41252544,41485143,41535594,41548084,41673423,42224374,42268075,42426999,42450613,42534558,42665254,42810793,42981584,43682223,44350163,44512582,44839573,44962623,45389782,45469548,45955636,46091724,46409112,46494709,46612393,46702582,46783240,47139382,47226694,47488534,47947647,48135733,48354282,48700996,49299253,49387075,49512495,49531093,49834803,49861130,50532694,50721690,51031033,51139174,51145909,51985924,52210251,52261383,52349782,52436134,52532404,52631145,52650543,52723970,52813328,53078596,53212582,53541673,54103136,54159814,54503782,54807519,54871100,54887399,55019254,55260484,55448374,55681909,55693047,55805236,56139888,56240809,56562214,56909113,57113319,57353209,57796153,57844054,57914936,59264490,59414994,59416095,59547574,59632582,59665813,59833356,60130659,60840543,60866028,61329382,61603135,61878719,62049207,62175382,62378936,62457626,62656125,63157374,63215456,63268764,63342709,63357094,63377168,63946774,64272207,64619734,64832533,65021956,65123782,65154303,65344503,65459494,65572153,65720888,65845320,65993209,66465094,66613235,66833200,67145173,67406583,67635382,67977493,68135974,68320119,68495353,68701993,68969014,69011413,69217333,69218614,70000995,70176303,70235008,70705695,70752553,71117388,71194991,71279288,71299314,71375782,71477764,71706694,71872054,71957199,72069973,72119974,72170809,72202582,72573433,73175209,73923762,73933654,73935999,74075985,74082243,74590625,74667728,74690116,75054122,75187350,75261013,75411814,75419408,76243093,76292404,76312582,76731433,76803094,77120809,77292655,77791075,77863894,78178079,78410570,78474553,78840694,78911063,79014384,79050409,79152735,79489204,79571782,79623673,79935882,80004409,80083119,80189199,80199840,80383993,81045493,81333475,81614644,81999382,82357909,82571619,82724854,83051035,83127334,83609782,83772995,83942463,84001194,84208309,84429584,84813382,84846834,85213753,85323076,85533814,85546496,85663736,86120233,86480809,86908084,87377209,87435844,87466453,87528214,88005382,88177813,88398170,88611123,88627143,88720054,88843468,88891182,88920923,89060533,89106879,89225180,89508750,89586709,89670934,89674153,90070324,90224820,90693995,90821847,91089795,91092934,91836853,92133671,92697604,92751186,93137782,93192735,93222196,93250703,93349290,93608134,94092684,94270516,94625254,94983282,95476000,95863093,95945209,96239808,96322647,96371703,97117414,97162448,97333295,97600170,97653013,97993119,98095395,98589382,99053014,99405584,99548823,99572576,99661242,...,124366262530504473004058275056122668102105134575963846396010873210859953962366558162311598406659184484299268337415676050995235739816628817087262533275920939950198713344940207659628906162032840606956000101348874789777919573532246694835307278981537474489143553639250063188975390001713778576912092824289140571939207216950932651086855133664039891526875932028501880959510215186236031320133184715726369569416419223000857879232364667984496860823712201959521696264023287484580403530302251344031885678515737897319081926134543625450918675431967939922395189765131639850551481877312191858303771356708834384931260172529732923974803334630742640940356293985865270984036000072872216713913610607976533184322664914290987779182925469934182906369193315330244492438857925104297040397541756217226231948440421134589924106305499138654506666351520546760853680374545293267446793237794288292404063957281358283661972462376580661828540438563376281488418065086621418628099241427838042897560178710323350072649791466342633852487147022271416679732709034239315839189310357659988859598616182160342591698167134122407865090722796393463428783699403312283512095120235200576062330206803048539537813314576936027779704714576822122512170850166446069056392788606911948764334074780133996520563336129879171882857225954572969160268653505996968825627688935000145174206155787090974134921931282468060596433861558804453028708701486189680091507531606474339404051918702275380212265677486653591653568268960919729099055429135239833323404366867331054608918865394378352003725328738767977574557604694872229987455308939413299485029598018320010618918945726230614730443940173885203388561106012628387682242403561138572449737963966516137348332757723308315987200173626110642486915680051052091306491868128729704242172592475880357927279435237782813488756105453780139521743381056634083322162918291884452243040792396570074792512520676770192014771060303481368066986879682246876280255236645329883559090343444404364344781598501649927586160825080734006513584806892930589879458421866716581761590652619130440407777715519080726823025116336853532753886269684048894069406714173668425712649247963993006059165383811864844912214214681581600523179629932230248532685300417414753165859087845124742135801212120484935390841038031302546522805707716530839757564517280861851796868083081226407570410554126000889282568216657736991508745073148831264777606603089467631605619919558006412767569106725428560530226686098839794217026499172521955610620303854066931778448634390408104189441721729242569180359013500836031656922509272781037951013463663813474823949365904832696211253673508803812580966247672389413474071699453372181535439437665142219549059200761801137331305723805035570877757460966817914440096897241657429030548596536927311684403062970814924604023810011010647239819849922463926673420330374575179059928045388298303330570894470437948467255987442255672601994817276637132938356894288957767198324247966107364080364950229999435477659355809846821923669639139117409807910886094374637156580691102873957268566309071653784616227142945584799451290641200180853922893853521878498470686837361469544739354369729120858739848261940581632416521921296608852705221344444368895983960558048977241022797012579317621686017384897558765702923038442766326178551039412814113565011879839936521574761428533443175835544840255801192851967167891568975806368132104677842683250588336989576638020631575714116578958436671229700682304546113159634650865334886629978405800985983915991901256552841753348078991224523034610081872983281327894284934211868722681850516196181800418256376833000147673271281472698515558118075122342826130003663705402897898553419959622120088444043982006940572733160814300588725476727451473956295646236365800020542453499433000046837888112394054410665279583617913855891335714548242631131501173955416471934562}
23895 502328631788701940107831894046582543811203969607828016554830790276361700722205: {47786,358305,382192,429966,931281,1313345,1360761,1576014,1646961,2029205,2340142,2435046,2888633,3174577,3343060,4011672,4033861,4218441,4344886,4361073,4513131,4535110,4775800,5176969,5216361,5372775,5442132,5643681,5680822,5730960,6113024,6206980,6447330,6826534,6877152,7030145,7350801,7352884,7395670,7448376,7736796,8115460,8379423,8436174,8455745,8612377,8874804,9338073,9685942,9738552,9905001,10146894,10174129,10504120,10591445,10613121,10754673,10955871,11552596,11817135,12013445,12310161,12604944,12709734,13837060,13893473,14180562,14266486,14416134,14534470,15411622,15834561,16256481,16270805,16604472,17376632,17441364,17546655,17684086,17687045,18597953,18643281,18680031,18716432,19040969,19063761,19471561,19524966,19548711,19681102,20044041,20743521,20888875,21055986,21123529,21224454,21730313,22001073,22342222,22472633,22903513,23272275,23396073,23890457,24143284,24336886,24823760,24927801,25066650,25262980,26737760,26857505,27011841,27329569,27568695,27578692,27926730,28115860,29035361,29123926,29406608,29505561,29788512,29841250,30079980,30176470,30315576,30368405,30473241,31069505,31917460,32085312,32229006,32305462,32314241,32405073,32465297,32819875,32833606,32998777,33082434,33170645,33512076,33686341,33739032,34105023,34228073,34766980,34843846,34970929,35365204,35786729,35809500,35992757,36095976,36211764,36442086,36528873,36600581,36665961,37131814,37283406,37608886,37776934,37956411,38196800,38300952,38867033,38939854,39383850,39804774,39948873,40029653,40563766,40607973,40935335,41482246,41542805,41720376,41857521,41993673,42009440,42238145,42555022,42810081,42851734,42903601,42971400,43088571,44711673,45413201,45803182,45836160,46150660,46211662,46523761,46935423,47129806,47141110,47141432,47260620,47340244,47555241,48095673,48342825,48887254,48891904,49122402,49221457,49286644,49851366,49958470,49984161,50260561,50411328,50521720,50554145,50675569,50685774,50926641,51132742,51329729,51565680,51719573,51935105,52576409,52808073,52884569,53034111,53726980,54581569,55003392,55198534,55292789,55313524,55380792,55455022,55564564,56156073,56569332,56712744,56823873,56836935,57007654,57357681,57444545,57505777,57614655,58011390,58024401,58242964,58479050,58956801,59435701,59622081,59950164,60626064,60664974,60818073,60876245,61455632,61878816,62303391,62322126,62369377,63336561,63501454,63801837,63930196,63997881,64472376,64929553,64982405,65216422,65250713,65334262,65665505,65966897,65991982,66016660,66023974,66136486,66348245,66446404,66768873,66793529,66823301,67628920,68084673,68204322,68588875,68933454,69075605,69137586,69613668,69681844,69756545,69827446,70053873,70174860,70200724,70709073,70753777,70840041,71232801,71467369,71531633,72393670,72531423,72606094,72956873,73051494,73076692,73875886,74257396,74791695,74853184,74955769,75772966,75799041,75868873,76082535,76151092,76708761,76911689,77838581,77973670,77978886,78432406,78524673,78654201,78798606,79019320,79085955,79219992,79221460,79617894,79777808,79818873,80174212,80756881,81120724,81154704,81239721,81277445,81755673,82151110,82178129,82306650,82528881,82732276,82890726,83172561,83253046,83541500,83707854,84209832,84358352,84572566,84843321,85017142,85056334,85278229,85696276,85799974,86766081,86820721,86872404,86979886,87126004,87793760,88080502,88459333,88896735,89099110,89122491,89321361,89347205,89448873,89522737,89750034,89840729,89875444,90015382,91093492,91240774,91299042,91370873,91555702,91994073,93263073,93334660,93362645,93515086,93568404,93686439,94153129,94274260,94736061,94823184,94903146,95035641,95065752,95365505,95920161,95942932,96636622,96778486,96929601,97135729,97532934,97685673,98189241,98361173,98565016,98581332,98767980,98776324,99361505,99697641,...,186549393795756709506087412584184002153157701863945769594016309816289930943549837243467397609988776726448902506123514076492853609724943225630893799913881409925298070017410311489443359243049260910434000152023312184666879360298370042252960918472306211733715330458875094783463085002570667865368139236433710857908810825426398976630282700496059837290313898042752821439265322779354046980199777073589554354124628834501286818848547001976745291235568302939282544396034931226870605295453377016047828517773606845978622889201815438176378013147951909883592784647697459775827222815968287787455657035063251577396890258794599385962205001946113961410534440978797906476054000109308325070870415911964799776483997371436481668774388204901274359553789972995366738658286887656445560596312634325839347922660631701884886159458248707981759999527280820141280520561817939901170189856691432438606095935922037425492958693564870992742810657845064422232627097629932127942148862141757064346340268065485025108974687199513950778730720533407125019599063551358973758783965536489983289397924273240513887547250701183611797636084194590195143175549104968425268142680352800864093495310204572809306719971865404041669557071865233183768256275249669103584589182910367923146501112170200994780845004194818757824285838931859453740402980258995453238441533402500217761309233680636461202382896923702090894650792338206679543063052229284520137261297409711509106077878053413070318398516229980387480352403441379593648583143702859749985106550300996581913378298091567528005587993108151966361836407042308344981182963409119949227544397027480015928378418589345922095665910260827805082841659018942581523363605341707858674606945949774206022499136584962473980800260439165963730373520076578136959737802193094556363258888713820536890919152856674220233134158180670209282615071584951124983244377437826678364561188594855112188768781015155288022156590455222052100480319523370314420382854967994825338635515166606546517172397752474891379241237621101009770377210339395884819187632800074872642385978928695660611666573278621090234537674505280299130829404526073341104110071260502638568973871945989509088748075717797267368321322022372400784769444898345372799027950626122129748788631767687113203701818180727403086261557046953819784208561574796259636346775921292777695302124621839611355615831189001333923852324986605487263117609723246897166409904634201447408429879337009619151353660088142840795340029148259691325539748758782933415930455781100397667672951585612156284162582593863853770538520251254047485383763909171556926520195495720212235924048857249044316880510263205718871449371508584120211107549180058272303159156497713329323588801142701705996958585707553356316636191450226871660145345862486143545822894805390967526604594456222386906035715016515970859729774883695890010130495561862768589892068082447454995856341705656922700883981163383508902992225914955699407535341433436650797486371949161046120547425344999153216489033714770232885504458708676114711866329141561955734871036654310935902849463607480676924340714418377199176935961800271280884340780282817747706030256042204317109031554593681288109772392910872448624782881944913279057832016666553343975940837073465861534195518868976432529026077346338148554384557664149489267826559119221170347517819759904782362142142800164763753317260383701789277950751837353463709552198157016764024875882505484364957030947363571174868437655006844551023456819169739451976298002329944967608701478975873987851884829262630022118486836784551915122809474921991841427401317803084022775774294272700627384565249500221509906922209047773337177112683514239195005495558104346847830129939433180132666065973010410859099741221450883088215091177210934443469354548700030813680249149500070256832168591081615997919375426870783837003571822363946697251760933124707901843}
23896 504095857283281254056340522237959053727855238410955739189231505935852122848979: {71679,334418,405943,477740,549079,573288,644949,1241708,1765418,1814348,1976479,2101352,2195948,2364021,2545423,2907626,3192818,3246728,3510213,3538303,3652569,4178825,5014590,5348896,5372863,5513479,5624588,5814764,5969750,6017508,6036818,6215479,6355663,6517329,6802665,6915679,6955148,7163700,7170386,7256176,7524908,7641280,7758725,8163198,8171503,8449783,8521233,8596440,9169536,9191105,9310470,9670995,9801068,9931168,10144325,10239801,10315728,10527703,10557266,11029326,11093505,11172564,11216743,11248232,11605194,11833072,12173190,12450764,12654261,12803666,12984736,12999823,13130150,13136479,13206668,13273063,13312206,13529192,13954903,14150828,14339564,14363143,14440745,14528913,14607828,14761706,15204553,15220341,15598706,15756180,15877418,16376878,16413548,16806592,16946312,17296325,17328894,18409903,18656618,18677383,18907416,19064601,19221512,19344823,19744423,19764266,20755590,21112748,21270843,21399729,21624201,21675308,21697106,21720790,21801705,21864679,22139296,23117433,23255152,23311663,23395540,24446066,24857708,24906708,25270783,25418348,25730782,26033288,26064948,26162046,26526129,26725388,26955583,27600343,27658028,27998186,28074648,28299272,28499983,28884463,29012479,29287449,29334764,29521653,29900786,30179105,31029700,31194764,31578725,31583979,31836681,32063263,32066546,33237068,33322183,33422200,33513333,33573103,33684818,34473365,34698679,34760786,35144825,35942479,36015788,36066463,36214926,36437983,36505329,36758260,37055743,37235640,37599975,37894470,37974866,39307946,39340748,39508783,39718016,39896825,40106640,40239079,40371818,40420768,40630988,40637426,41248753,41368038,41890095,42173790,42780416,42972008,43206764,43458725,43685889,43851679,44109912,44206505,44682768,44761875,44985376,45119970,45264705,45473364,46341943,47230826,47746000,47876190,47984479,48127968,48282352,48343509,48458193,48589448,48705164,48887948,49073849,49250409,49582418,49612903,49623651,49711208,49844383,50268114,50306479,50421823,50608548,50883818,51067936,51456679,52150470,52265769,52413829,52440746,52511800,53047806,53054863,53073032,53265164,53714250,53773678,54143964,54317646,54413503,54663129,54976543,55627168,55697721,55810028,55925109,55991564,56413329,56665401,57080108,57295200,57451428,57688325,58206679,58409781,58867423,58926790,59075775,59175305,59615564,59637866,59707161,59744383,59892818,60507943,60845649,61114880,61608305,61916623,62223369,62580564,62670103,63014160,63099079,63152150,63406988,63832533,64127564,64272823,64277601,64457100,64961618,65120983,65213546,65496536,66279679,66468488,66645548,67158725,67215104,67221223,67581032,67902188,68704773,68754240,68777503,69141905,69225990,69317493,69455705,69498223,69805582,69908479,70410764,70694709,70711665,70712148,70890930,71010366,71841463,72043423,72209066,72803705,73330881,73337856,73683603,73813558,73841056,73929966,74345263,74777049,74874764,74937705,75038263,75425776,75616992,75765164,75782580,75825943,76022143,76028661,76401266,76476908,76699113,76819540,76901479,77136746,77348520,77365868,77381618,78257743,78354079,78609068,78738703,78847826,79496108,79578986,79695223,79912745,79933552,80590470,80794706,80834752,80886632,81090764,81680479,82055023,82248818,82505088,82520825,82797801,82970286,83058005,83071188,83096168,83182533,83346846,84448748,84536150,84827383,84853998,84901226,85069116,85330508,85511481,85621586,85963168,86244389,86729479,87017085,87102305,87177679,87364446,87534943,87624079,87718575,87750905,88700326,89025164,89303983,89679146,89925246,90698479,90779564,90939096,90997461,91345865,91903543,91911272,92183448,92818224,92821745,92989418,93224786,93258529,93405164,93483189,93566480,93600583,94278764,94453388,94977068,95188865,95252181,95845903,95895294,96271466,96501103,96582679,96708564,97401992,97824633,98001393,98279143,98598506,98598679,98678383,98774150,98987973,99024990,99026825,99035961,99062186,99204729,99669606,99722260,99786679,...,248732525061008946008116550112245336204210269151927692792021746421719907924733116324623196813318368968598536674831352101990471479633257634174525066551841879900397426689880415319257812324065681213912000202697749579555839147064493389670614557963074948978287107278500126377950780003427557153824185648578281143878414433901865302173710267328079783053751864057003761919020430372472062640266369431452739138832838446001715758464729335968993721647424403919043392528046574969160807060604502688063771357031475794638163852269087250901837350863935879844790379530263279701102963754624383716607542713417668769862520345059465847949606669261485281880712587971730541968072000145744433427827221215953066368645329828581975558365850939868365812738386630660488984877715850208594080795083512434452463896880842269179848212610998277309013332703041093521707360749090586534893586475588576584808127914562716567323944924753161323657080877126752562976836130173242837256198482855676085795120357420646700145299582932685267704974294044542833359465418068478631678378620715319977719197232364320685183396334268244815730181445592786926857567398806624567024190240470401152124660413606097079075626629153872055559409429153644245024341700332892138112785577213823897528668149560267993041126672259758343765714451909145938320537307011993937651255377870000290348412311574181948269843862564936121192867723117608906057417402972379360183015063212948678808103837404550760424531354973307183307136537921839458198110858270479666646808733734662109217837730788756704007450657477535955149115209389744459974910617878826598970059196036640021237837891452461229460887880347770406777122212025256775364484807122277144899475927933032274696665515446616631974400347252221284973831360102104182612983736257459408484345184951760715854558870475565626977512210907560279043486762113268166644325836583768904486081584793140149585025041353540384029542120606962736133973759364493752560510473290659767118180686888808728689563197003299855172321650161468013027169613785861179758916843733433163523181305238260880815555431038161453646050232673707065507772539368097788138813428347336851425298495927986012118330767623729689824428429363163201046359259864460497065370600834829506331718175690249484271602424240969870781682076062605093045611415433061679515129034561723703593736166162452815140821108252001778565136433315473983017490146297662529555213206178935263211239839116012825535138213450857121060453372197679588434052998345043911221240607708133863556897268780816208378883443458485138360718027001672063313845018545562075902026927327626949647898731809665392422507347017607625161932495344778826948143398906744363070878875330284439098118401523602274662611447610071141755514921933635828880193794483314858061097193073854623368806125941629849208047620022021294479639699844927853346840660749150358119856090776596606661141788940875896934511974884511345203989634553274265876713788577915534396648495932214728160729900459998870955318711619693643847339278278234819615821772188749274313161382205747914537132618143307569232454285891169598902581282400361707845787707043756996941373674722939089478708739458241717479696523881163264833043842593217705410442688888737791967921116097954482045594025158635243372034769795117531405846076885532652357102078825628227130023759679873043149522857066886351671089680511602385703934335783137951612736264209355685366501176673979153276041263151428233157916873342459401364609092226319269301730669773259956811601971967831983802513105683506696157982449046069220163745966562655788569868423737445363701032392363600836512753666000295346542562945397031116236150244685652260007327410805795797106839919244240176888087964013881145466321628601177450953454902947912591292472731600041084906998866000093675776224788108821330559167235827711782671429096485262263002347910832943869124}
23897 505869259734318748797216105088513655675356138351476683721750169000902176288133: {95572,501627,597175,716610,764384,859932,1552135,1838683,1862562,2267935,2626690,2648127,2721522,2744935,2840887,3152028,3293922,3413839,4058410,4361439,4463503,4680284,4789227,4870092,5777266,6349154,6686120,7030735,7268455,7521885,7610383,8023344,8067722,8436882,8689772,8693935,8722146,8954625,9026262,9055227,9070220,9328087,9406135,9551600,9842203,10353938,10432722,10745550,10755579,10884264,11287362,11361644,11461920,11838043,12226048,12244797,12251335,12413960,12894660,13653068,13754304,13894639,13965705,14060290,14701602,14705768,14791340,14828023,14896752,15463723,15473592,15563455,15835899,16230920,16419559,16508335,16543989,16758846,16818823,16872348,16911490,17224754,17407791,17554603,17688535,17749608,17924455,18259785,18676146,19042567,19121839,19205499,19371884,19477104,19695225,19810002,19968309,20293788,20348258,20516935,21008240,21182890,21226242,21281083,21468127,21509346,21911742,21979399,22142559,22474519,22779127,23105192,23398059,23568859,23634270,23816127,24026890,24565317,24620322,24700303,24761863,25209888,25382863,25419468,25570663,25681279,25756987,25993341,26390935,26701099,27094135,27123007,27674120,27786946,27984927,28330303,28361124,28532972,28832268,29068940,29244425,29549839,29646399,30823244,31072135,31133385,31669122,31772935,31964743,32512962,32541610,32545659,32581185,33208944,33406735,33409639,34572535,34704283,34753264,34882728,35093310,35368172,35374090,36133423,36309163,36668455,36669099,37195906,37286562,37360062,37432864,37600507,38081938,38127522,38596173,38787125,38943122,38993455,39049932,39097422,39124759,39243069,39362204,39961879,40088082,40227199,40451359,41410807,41487042,41546335,41777750,41982319,41997279,42111972,42247058,42293407,42448908,42515767,43243087,43460626,43497307,43571803,44002146,44684444,44851179,44945266,45019735,45656407,45807026,45947825,46245343,46438903,46544550,46792146,47780914,48099819,48286568,48673772,49175935,49647520,49855602,50133300,50525960,50527227,50788735,51282727,51334063,51850843,51957583,52141179,53475520,53715010,54008455,54023682,54242479,54322389,54500599,54659138,55137390,55157384,55224679,55297447,55853460,56099983,56231720,56841705,56962299,57309469,58045339,58070722,58159927,58247852,58490587,58813216,58961919,59011122,59106283,59133403,59577024,59682500,60159960,60352940,60557727,60631152,60662407,60736810,60881455,60946482,60956139,61109935,61754839,61797823,62052057,62139010,62493703,63260685,63834920,64170624,64458012,64610924,64628482,64810146,64930594,65348383,65639750,65667212,65997554,66164868,66341290,66581455,66799183,67024152,67372682,67478064,67679955,68203063,68210046,68341339,68456146,69364987,69533960,69613543,69687692,69762535,69941858,69989455,70730408,70775803,70846239,71350135,71537659,71573458,71619000,71814285,71936623,71985514,72191952,72423528,72709147,72884172,73057746,73201162,73331922,73476139,73730383,74263628,74373627,74519455,74566812,75217772,75402171,75553868,75912822,76040239,76325727,76393600,76601904,76918183,77114479,77717047,77734066,77879708,78225705,78661119,78767700,78937807,79258735,79571709,79609548,79897746,80059306,80159455,80422363,80571375,80660517,80899519,81127532,81215946,81476469,81870670,82964492,83085610,83206759,83306935,83440752,83715042,83987346,84018880,84476290,84877735,84900703,85110044,85226743,85620162,85703468,85807202,85942800,85960123,86177142,86221759,86725783,87296143,87438103,88013455,88390185,89423346,89456799,89457799,89839227,89848363,90358543,90826402,90975367,91606364,91672320,91931707,92301320,92423324,92715067,92887543,93047522,93593455,93870846,94038127,94259612,94282220,94282864,94521240,94680488,94706455,94728225,95110482,95596135,96024425,96191346,96685650,96705847,96707335,97119607,97442427,97659163,97774508,97783808,97820319,98244804,98261335,98442914,98573288,99286207,99370135,99392263,99559963,99702732,99916940,99968322,...,373098787591513419012174825168368004306315403727891539188032619632579861887099674486934795219977553452897805012247028152985707219449886451261787599827762819850596140034820622978886718486098521820868000304046624369333758720596740084505921836944612423467430660917750189566926170005141335730736278472867421715817621650852797953260565400992119674580627796085505642878530645558708093960399554147179108708249257669002573637697094003953490582471136605878565088792069862453741210590906754032095657035547213691957245778403630876352756026295903819767185569295394919551654445631936575574911314070126503154793780517589198771924410003892227922821068881957595812952108000218616650141740831823929599552967994742872963337548776409802548719107579945990733477316573775312891121192625268651678695845321263403769772318916497415963519999054561640282561041123635879802340379713382864877212191871844074850985917387129741985485621315690128844465254195259864255884297724283514128692680536130970050217949374399027901557461441066814250039198127102717947517567931072979966578795848546481027775094501402367223595272168389180390286351098209936850536285360705601728186990620409145618613439943730808083339114143730466367536512550499338207169178365820735846293002224340401989561690008389637515648571677863718907480805960517990906476883066805000435522618467361272922404765793847404181789301584676413359086126104458569040274522594819423018212155756106826140636797032459960774960704806882759187297166287405719499970213100601993163826756596183135056011175986216303932723672814084616689962365926818239898455088794054960031856756837178691844191331820521655610165683318037885163046727210683415717349213891899548412044998273169924947961600520878331927460747040153156273919475604386189112726517777427641073781838305713348440466268316361340418565230143169902249966488754875653356729122377189710224377537562030310576044313180910444104200960639046740628840765709935989650677271030333213093034344795504949782758482475242202019540754420678791769638375265600149745284771957857391321223333146557242180469075349010560598261658809052146682208220142521005277137947743891979018177496151435594534736642644044744801569538889796690745598055901252244259497577263535374226407403636361454806172523114093907639568417123149592519272693551842585555390604249243679222711231662378002667847704649973210974526235219446493794332819809268402894816859758674019238302707320176285681590680058296519382651079497517565866831860911562200795335345903171224312568325165187727707541077040502508094970767527818343113853040390991440424471848097714498088633761020526411437742898743017168240422215098360116544606318312995426658647177602285403411993917171415106712633272382900453743320290691724972287091645789610781935053209188912444773812071430033031941719459549767391780020260991123725537179784136164894909991712683411313845401767962326767017805984451829911398815070682866873301594972743898322092241094850689998306432978067429540465771008917417352229423732658283123911469742073308621871805698927214961353848681428836754398353871923600542561768681560565635495412060512084408634218063109187362576219544785821744897249565763889826558115664033333106687951881674146931723068391037737952865058052154692676297108769115328298978535653118238442340695035639519809564724284285600329527506634520767403578555901503674706927419104396314033528049751765010968729914061894727142349736875310013689102046913638339478903952596004659889935217402957951747975703769658525260044236973673569103830245618949843983682854802635606168045551548588545401254769130499000443019813844418095546674354225367028478390010991116208693695660259878866360265332131946020821718199482442901766176430182354421868886938709097400061627360498299000140513664337182163231995838750853741567674007143644727893394503521866249415803686}
23898 507648860592101709363075958476533186003647242684433922057440077032023651855226: {119465,143358,262757,453701,668836,692201,811886,955480,978137,1074915,1098158,1146576,1289898,1596677,1691717,1881701,2308697,2483416,2593001,2793843,3113477,3255257,3530836,3585797,3628696,3727337,3940035,3952958,4082283,4202704,4245701,4391896,4728042,4940883,4997957,5090846,5373317,5420201,5815252,5850355,6087615,6356201,6385636,6402917,6493456,7020426,7076606,7305138,7475177,7800677,7940057,8218601,8357650,8450501,8635877,8665899,9145001,9422297,9523731,10029180,10298501,10697792,10745726,10862215,10942277,11026958,11249176,11337775,11629528,11676101,11939500,12035016,12073636,12101583,12430958,12636137,12655323,12711326,12867547,13034658,13083219,13319717,13456217,13539393,13605330,13683557,13831358,13910296,14001497,14137637,14202055,14327400,14340772,14409701,14512352,15043397,15049816,15282560,15517450,15530907,15649083,16118325,16261097,16326396,16343006,16441001,16899566,16931043,17042466,17066335,17114501,17192880,18339072,18382210,18489175,18620940,18723557,19079717,19341990,19346501,19602136,19746137,19790501,19862336,20189417,20217043,20277977,20288650,20410757,20479602,20631456,21055406,21090435,21114532,21514457,22052403,22058652,22187010,22345128,22393817,22433486,22496464,22700837,22832297,23210388,23357417,23666144,23750501,24214855,24346380,24795557,24882437,24901528,25138269,25308522,25367235,25607332,25706201,25837131,25969472,25999646,26260300,26272958,26413336,26546126,26613317,26624412,26828777,27058384,27259097,27860201,27909806,28014219,28301656,28502501,28679128,28726286,28881490,28887017,28929701,29057826,29215656,29523412,29715003,29951717,30409106,30440682,30522387,30799877,31197412,31512360,31754836,31774335,31839363,32108201,32264019,32570597,32753756,32827096,32867613,33367001,33613184,33892624,34243877,34592650,34618601,34657788,35451405,35666215,35821637,36040335,36069701,36111017,36234917,36336175,36819806,36930483,37100201,37313236,37354766,37814832,37921001,38129202,38443024,38529055,38575337,38689646,39488846,39512357,39528532,39553001,40404677,40728197,41010857,41131877,41212517,41511180,41680419,41816297,41936837,42225496,42250747,42541686,42799458,43248402,43350616,43394212,43441580,43537157,43603410,43729358,44133977,44210215,44278592,44332517,44570501,45401177,45756101,45992357,46234866,46385477,46510304,46581737,46623326,46791080,46973657,47503683,48262711,48455657,48727397,48769443,48812415,48892132,49202755,49308377,49424357,49617497,49715416,49813416,49849001,49887557,50426501,50464937,50541566,50836696,51155417,51231977,51461564,51576101,51805157,51919577,52066576,52129896,52324092,52639965,53052258,53061135,53450776,53891417,53911166,54456197,54568937,54847243,54981701,55200686,55316056,55767017,55793859,55855555,55929843,55996372,56040093,56149296,56598544,56697317,56808617,56993957,56999966,57122907,57191283,57364037,57437957,57585701,57768926,57770201,57991337,57996367,58024958,58138601,58414683,58574898,58646133,58653017,58669528,58909637,59019497,59043306,59750057,59801572,60132123,60358210,60513701,60658757,60839897,60842215,61201577,61598501,61889107,62059400,62138201,62230563,62389528,62666625,62676101,62711897,62890757,63033701,63157450,63167958,63370587,63426137,63568601,63673362,64126526,64133092,64279001,64633001,65190939,65655077,65900777,66003219,66076037,66474136,66530777,66644366,66844400,67026666,67146206,67227737,67262501,67369636,67417899,67470917,67956101,68710539,68784197,68946730,69397358,69505001,69521572,69539237,69816825,70188219,70289650,70664537,70834277,71240837,71376101,71671371,71882201,71884958,72031576,72050501,72084137,72132926,72352937,72429852,72587717,72809815,72875966,73010658,73516520,73689257,74111486,74471280,74603125,74683097,74783403,75199950,75441175,75788940,75866201,75949732,76323497,77136197,77200997,77621417,78104837,78297701,78615892,78681496,79017566,79436032,79703237,79793650,80213280,80478158,80494937,80572515,80743636,80763655,80841536,80841701,81035523,81261976,81274852,81782501,81988707,82084015,82094501,82497506,82706085,82736076,82747097,82845427,82901957,82994777,83780190,84103001,84347580,84683717,84866501,85140137,85560832,85655237,85745897,85927001,85944016,86107817,86251627,86408537,86413528,86558597,86648537,86917450,87007577,87106083,87109615,87371778,87395237,87543977,87573701,87703358,88219824,88413010,88516683,88726697,89342501,89365536,89488601,89523750,89925701,89970752,90100037,90239940,90529410,90946728,91082501,91105215,91419723,91913177,92538857,92683886,92829535,92935001,93208515,93357701,93806597,94022215,94309157,94442335,94461652,94476101,95030501,95306501,95492000,95752380,95883497,95968958,96255936,96564704,96687018,96783077,96798667,96916386,96942723,96945701,97178896,97189097,97215219,97237987,97349635,97395891,97410328,97593317,97727657,97775896,98049257,98147698,98316377,98459625,98500818,98996331,99164836,99225806,99247302,99422416,99511935,99639977,99688766,...,559648181387270128518262237752552006459473105591837308782048929448869792830649511730402192829966330179346707518370542229478560829174829676892681399741644229775894210052230934468330077729147782731302000456069936554000638080895110126758882755416918635201145991376625284350389255007712003596104417709301132573726432476279196929890848101488179511870941694128258464317795968338062140940599331220768663062373886503503860456545641005930235873706704908817847633188104793680611815886360131048143485553320820537935868667605446314529134039443855729650778353943092379327481668447904863362366971105189754732190670776383798157886615005838341884231603322936393719428162000327924975212611247735894399329451992114309445006323164614703823078661369918986100215974860662969336681788937902977518043767981895105654658478374746123945279998581842460423841561685453819703510569570074297315818287807766112276478876080694612978228431973535193266697881292889796383826446586425271193039020804196455075326924061598541852336192161600221375058797190654076921276351896609469949868193772819721541662641752103550835392908252583770585429526647314905275804428041058402592280485930613718427920159915596212125008671215595699551304768825749007310753767548731103769439503336510602984342535012584456273472857516795578361221208940776986359715324600207500653283927701041909383607148690771106272683952377014620038629189156687853560411783892229134527318233634160239210955195548689941162441057210324138780945749431108579249955319650902989745740134894274702584016763979324455899085509221126925034943548890227359847682633191082440047785135255768037766286997730782483415248524977056827744570090816025123576023820837849322618067497409754887421942400781317497891191120560229734410879213406579283669089776666141461610672757458570022660699402474542010627847845214754853374949733132313480035093683565784565336566306343045465864066469771365666156301440958570110943261148564903984476015906545499819639551517193257424674137723712863303029311131631018187654457562898400224617927157936786086981834999719835863270703613023515840897392488213578220023312330213781507915706921615837968527266244227153391802104963966067117202354308334695036118397083851878366389246365895303061339611105454542182209258784671140861459352625684724388778909040327763878333085906373865518834066847493567004001771556974959816461789352829169740691499229713902604342225289638011028857454060980264428522386020087444779073976619246276348800247791367343301193003018854756836468852487747781591561311615560753762142456151291727514670779560586487160636707772146571747132950641530789617156614348114525752360633322647540174816909477469493139987970766403428105117990875757122660068949908574350680614980436037587458430637468684416172902579813783368667160718107145049547912579189324651087670030391486685588305769676204247342364987569025116970768102651943490150526708976677744867098222606024300309952392459115847483138361642276034997459649467101144310698656513376126028344135598987424685867204613109962932807708548390822442030773022143255131597530807885400813842653022340848453243118090768126612951327094663781043864329317178732617345874348645834739837173496049999660031927822511220397584602586556606929297587078232039014445663153672992448467803479677357663511042553459279714347086426428400494291259951781151105367833852255512060391128656594471050292074627647516453094871092842090713524605312965020533653070370457509218355928894006989834902826104436927621963555654487787890066355460510353655745368428424765975524282203953409252068327322882818101882153695748500664529720766627143320011531338050542717585016486674313040543490389818299540397998197919031232577299223664352649264645273531632803330408063646100092441040747448500210770496505773244847993758126280612351511010715467091840091755282799374123705529}
23899 509434681380923134395677937497885226332367039604020029070530947097155785728714: {23899,191144,215037,836045,1003254,1194350,1217829,1433220,1528768,1647237,1719864,1934847,2172989,3104270,3175109,3677366,3725124,3842909,4034537,4413545,4535870,4988621,5253380,5275049,5296254,5443044,5489870,5681774,5929437,6304056,6587844,6827678,7092063,7269065,7636269,7982045,8116820,8135237,8722878,8927006,8994089,9360568,9578454,9740184,9843029,10175837,10425509,10530639,10614909,10957707,11554532,12171509,12536475,12698308,13168589,13372240,14061470,14536910,14924375,15043770,15092045,15220766,15987917,16046688,16118589,16135444,16420937,16540437,16873764,17151869,17379544,17387870,17444292,17909250,17925965,18052524,18110454,18140440,18275309,18646437,18656174,18812270,19066989,19103200,19551987,19684406,20407995,20707876,20746349,20747037,20865444,21282869,21491100,21511158,21768528,21788837,22574724,22598537,22723288,22923840,23111669,23276175,23570837,23676086,23993789,24452096,24489594,24502670,24514509,24763949,24827920,25094237,25349349,25563699,25572809,25789320,26393165,27306136,27334157,27508608,27573315,27606221,27789278,27931410,28120580,28723709,29012985,29403204,29411536,29582680,29656046,29712269,29793504,29997929,30284117,30313949,30432975,30719403,30927446,30947184,31126910,31583109,31671798,32009165,32461840,32825375,32839118,33016670,33087978,33194117,33280515,33517692,33637646,33650229,33744696,33822980,34449508,34815582,34922537,35109206,35377070,35499216,35725301,35848910,36519570,36904265,36947309,37352292,37896029,37931789,37962783,38085134,38243678,38410998,38743768,38954208,38996765,38999469,39390450,39409437,39620004,39693545,39819189,39936618,40587576,40696516,40942195,41033870,41864709,42016480,42365780,42452484,42562166,42910829,42936254,43018692,43089429,43322235,43500989,43586739,43823484,43958798,44030237,44051369,44285118,44482109,44949038,45558254,45613659,45661023,46210384,46641545,46769429,46796118,47137718,47268540,47632254,48053780,48330509,48401549,49130634,49240644,49400606,49410665,49434677,49523726,50419776,50765726,50838936,51027749,51141326,51335837,51362558,51493949,51513974,51855221,51888975,51986682,52781870,53402198,53718857,54188270,54242765,54246014,54301975,54590837,54954317,55229709,55348240,55573892,55969854,56032149,56104709,56318237,56660606,56722248,57065944,57193803,57315989,57664536,58034469,58137880,58164869,58259261,58488850,59099678,59233269,59292798,59583869,60667529,61115165,61278269,61646488,61803029,62144270,62266770,62699981,63027629,63338244,63545870,63812529,63929486,64199187,64254089,64326955,64872603,65025924,65083220,65091318,65162370,65405115,65594037,65725349,66417888,66813470,66819278,66873449,68536109,68599037,68846309,69145070,69352299,69408566,69506528,69765456,69934989,69995465,70186620,70736344,70748180,70992029,71104229,72266846,72618326,73336910,73338198,74391812,74414477,74573124,74720124,74751965,74865728,75108521,75201014,75611837,75812349,76163876,76255044,77192346,77574250,77723609,77886244,77986910,78099864,78194844,78249518,78284489,78486138,78724408,78815237,78944489,79578387,79633037,79923758,80166365,80176164,80454398,80767037,80866749,80902718,82801029,82821614,82974084,83092670,83555500,83964638,83994558,84212045,84223944,84494116,84586814,84845837,84897816,84907877,85016009,85031534,85234037,85499949,85553909,85649309,85771037,85967381,86486174,86653389,86835437,86860229,86901965,86921252,86994614,87037437,87143606,87445469,87862347,88004292,88269149,88564959,88794857,89368888,89702358,89865737,89890532,90039470,90366221,90537315,90956309,91312814,91614052,91895650,91977737,92490686,92877806,93089100,93214037,93468317,93584292,93974669,94497497,94736175,94751937,94889021,94937165,95510043,95561828,95795849,96189789,96199638,96573136,97347544,97667549,97985237,98009021,98269865,98351870,99295040,99512429,99711204,99890189,99966549,...,746197575183026838024349650336736008612630807455783078376065239265159723774199348973869590439955106905795610024494056305971414438899772902523575199655525639701192280069641245957773436972197043641736000608093248738667517441193480169011843673889224846934861321835500379133852340010282671461472556945734843431635243301705595906521130801984239349161255592171011285757061291117416187920799108294358217416498515338005147275394188007906981164942273211757130177584139724907482421181813508064191314071094427383914491556807261752705512052591807639534371138590789839103308891263873151149822628140253006309587561035178397543848820007784455845642137763915191625904216000437233300283481663647859199105935989485745926675097552819605097438215159891981466954633147550625782242385250537303357391690642526807539544637832994831927039998109123280565122082247271759604680759426765729754424383743688149701971834774259483970971242631380257688930508390519728511768595448567028257385361072261940100435898748798055803114922882133628500078396254205435895035135862145959933157591697092962055550189002804734447190544336778360780572702196419873701072570721411203456373981240818291237226879887461616166678228287460932735073025100998676414338356731641471692586004448680803979123380016779275031297143355727437814961611921035981812953766133610000871045236934722545844809531587694808363578603169352826718172252208917138080549045189638846036424311512213652281273594064919921549921409613765518374594332574811438999940426201203986327653513192366270112022351972432607865447345628169233379924731853636479796910177588109920063713513674357383688382663641043311220331366636075770326093454421366831434698427783799096824089996546339849895923201041756663854921494080306312547838951208772378225453035554855282147563676611426696880932536632722680837130460286339804499932977509751306713458244754379420448755075124060621152088626361820888208401921278093481257681531419871979301354542060666426186068689591009899565516964950484404039081508841357583539276750531200299490569543915714782642446666293114484360938150698021121196523317618104293364416440285042010554275895487783958036354992302871189069473285288089489603139077779593381491196111802504488518995154527070748452814807272722909612345046228187815279136834246299185038545387103685171110781208498487358445422463324756005335695409299946421949052470438892987588665639618536805789633719517348038476605414640352571363181360116593038765302158995035131733663721823124401590670691806342448625136650330375455415082154081005016189941535055636686227706080781982880848943696195428996177267522041052822875485797486034336480844430196720233089212636625990853317294355204570806823987834342830213425266544765800907486640581383449944574183291579221563870106418377824889547624142860066063883438919099534783560040521982247451074359568272329789819983425366822627690803535924653534035611968903659822797630141365733746603189945487796644184482189701379996612865956134859080931542017834834704458847465316566247822939484146617243743611397854429922707697362857673508796707743847201085123537363121131270990824121024168817268436126218374725152439089571643489794499131527779653116231328066666213375903763348293863446136782075475905730116104309385352594217538230656597957071306236476884681390071279039619129448568571200659055013269041534807157111803007349413854838208792628067056099503530021937459828123789454284699473750620027378204093827276678957807905192009319779870434805915903495951407539317050520088473947347138207660491237899687967365709605271212336091103097177090802509538260998000886039627688836191093348708450734056956780021982232417387391320519757732720530664263892041643436398964885803532352860364708843737773877418194800123254720996598000281027328674364326463991677501707483135348014287289455786789007043732498831607372}
23900 511226743699335405857463571157952010241856746898082998175309637291866649134852: {167251,238930,286716,310531,525514,739939,907402,1025851,1337672,1384402,1504881,1596811,1623772,1739371,1791525,1910960,1956274,2149830,2196316,2293152,2579796,3019171,3193354,3302779,3383434,3727651,3763402,4293139,4617394,4656405,4966832,4998379,5186002,5279971,5420659,5516049,5587686,6226954,6403459,6510514,6543571,6566725,6803805,7061672,7171594,7243051,7257392,7454674,7880070,7905916,7940731,7944381,8164566,8190497,8234805,8405408,8491402,8522661,8783792,9456084,9881766,9995914,10146025,10181692,10241517,10746634,10840402,11630504,11700710,12175230,12712402,12771272,12805834,12986912,13084317,13390509,14040852,14138851,14153212,14367681,14443165,14610276,14682739,14950354,15207101,15601354,15631771,15872885,15880114,16037419,16437202,16715300,16846771,16901002,16981411,17271754,17331798,17519251,17787739,18290002,18844594,19047462,19125859,19792219,19882877,20058360,20169305,20324011,20597002,20854651,21092205,21395584,21491452,21516331,21724430,21805365,21884554,22053916,22498352,22565655,22675550,22831149,23259056,23352202,23752579,23879000,23892869,24070032,24147272,24203166,24861916,24928051,25272274,25310646,25422652,25448611,25578571,25735094,25884845,26069316,26081805,26166438,26639434,26863875,26912434,27078786,27165681,27210660,27261499,27367114,27662716,27820592,27905539,27984261,28002994,28218405,28275274,28291099,28404110,28654800,28681544,28819402,28932259,29024704,29526609,29954371,30086794,30099632,30565120,31034900,31061814,31298166,31478899,32236650,32266737,32489491,32522194,32615491,32652792,32686012,32741419,32882002,33799132,33862086,33900797,34084932,34132670,34229002,34246939,34385760,35150725,35514129,35617891,35866219,36114259,36238171,36678144,36734391,36754005,36764420,36978350,37241880,37447114,38159434,38578819,38683980,38693002,38701291,38823691,39204272,39312571,39492274,39556579,39581002,39724672,40378834,40434086,40555954,40577300,40821514,40959204,41014579,41256571,41262912,41683917,41897115,42110812,42180870,42229064,42278725,43028914,43061885,44104806,44117304,44374020,44376259,44484069,44690256,44787634,44866972,44992928,45401674,45444811,45664594,46035931,46391169,46420776,46625251,46690365,46714834,46977979,47332288,47501002,47507697,48429710,48498979,48692760,48731899,49258677,49428931,49525005,49591114,49631967,49764874,49803056,49892179,49932701,50276538,50456469,50469619,50617044,50734470,50870645,51045259,51160171,51214664,51275011,51412402,51674262,51938944,51999292,52223373,52520600,52545916,52663809,52826672,52875211,52957225,53065605,53092252,53226634,53248824,53556691,53657554,53773365,53896459,53940677,54116768,54518194,54779355,55697611,55720402,55819612,56028438,56603312,57005002,57036379,57127701,57358256,57365517,57369451,57452572,57480331,57616497,57762980,57774034,57812539,57859402,58115652,58431312,59046824,59085675,59430006,59682811,59903434,59904927,60067225,60664531,60818212,60881364,61044774,61207411,61550805,61599754,61856491,61894301,62180059,62394824,62717899,63024720,63509672,63548670,63678726,63843249,64216402,64404381,64528038,64819469,65141194,65507512,65654192,65696539,65735226,65907139,65938197,66427677,66734002,67226368,67269019,67423557,67785248,67997299,68101051,68337381,68487754,68541161,68883857,69185300,69237202,69315576,69467365,69546019,70194177,70671451,70706577,70875139,70902810,71332430,71448381,71585779,71643274,72080670,72091219,72139402,72192091,72222034,72393619,72469834,72672350,73296931,73596739,73639612,73695951,73860966,74100909,74200402,74285589,74626472,74709532,75184771,75381979,75629664,75842002,76148589,76258404,76265851,76711989,76886048,77043837,77058110,77150674,77241091,77270961,77379292,77629171,77822779,77980023,78112651,78197777,78977692,79024714,79057064,79106002,79172805,80103297,80503051,80809354,81164299,81282405,81354025,81369021,81456394,82021714,82263754,82425034,82755499,83022360,83034139,83360838,83632594,83873674,83954781,84234091,84450992,84501494,84990909,85083372,85148851,85179101,85598916,86146771,86496804,86701232,86788424,86883160,87046411,87074314,87206820,87458716,87493531,87582739,87733275,88267954,88293811,88420430,88435225,88557184,88647619,88649517,88665034,88939197,89141002,89527099,89702131,90802354,91092019,91512202,91865731,91984714,92122339,92469732,92770954,92989765,93020608,93163474,93216405,93246652,93400155,93582160,93947314,94319131,95007366,95204845,95318805,95894229,95975851,96057931,96525422,96911314,97357805,97361419,97454794,97538886,97624830,97636977,97743555,97784264,98405510,98616754,98848714,99202891,99234994,99430832,99626832,99698002,99775114,99991651,...,1119296362774540257036524475505104012918946211183674617564097858897739585661299023460804385659932660358693415036741084458957121658349659353785362799483288459551788420104461868936660155458295565462604000912139873108001276161790220253517765510833837270402291982753250568700778510015424007192208835418602265147452864952558393859781696202976359023741883388256516928635591936676124281881198662441537326124747773007007720913091282011860471747413409817635695266376209587361223631772720262096286971106641641075871737335210892629058268078887711459301556707886184758654963336895809726724733942210379509464381341552767596315773230011676683768463206645872787438856324000655849950425222495471788798658903984228618890012646329229407646157322739837972200431949721325938673363577875805955036087535963790211309316956749492247890559997163684920847683123370907639407021139140148594631636575615532224552957752161389225956456863947070386533395762585779592767652893172850542386078041608392910150653848123197083704672384323200442750117594381308153842552703793218939899736387545639443083325283504207101670785816505167541170859053294629810551608856082116805184560971861227436855840319831192424250017342431191399102609537651498014621507535097462207538879006673021205968685070025168912546945715033591156722442417881553972719430649200415001306567855402083818767214297381542212545367904754029240077258378313375707120823567784458269054636467268320478421910391097379882324882114420648277561891498862217158499910639301805979491480269788549405168033527958648911798171018442253850069887097780454719695365266382164880095570270511536075532573995461564966830497049954113655489140181632050247152047641675698645236134994819509774843884801562634995782382241120459468821758426813158567338179553332282923221345514917140045321398804949084021255695690429509706749899466264626960070187367131569130673132612686090931728132939542731332312602881917140221886522297129807968952031813090999639279103034386514849348275447425726606058622263262036375308915125796800449235854315873572173963669999439671726541407226047031681794784976427156440046624660427563015831413843231675937054532488454306783604209927932134234404708616669390072236794167703756732778492731790606122679222210909084364418517569342281722918705251369448777557818080655527756666171812747731037668133694987134008003543113949919632923578705658339481382998459427805208684450579276022057714908121960528857044772040174889558147953238492552697600495582734686602386006037709513672937704975495563183122623231121507524284912302583455029341559121172974321273415544293143494265901283061579234313228696229051504721266645295080349633818954938986279975941532806856210235981751514245320137899817148701361229960872075174916861274937368832345805159627566737334321436214290099095825158378649302175340060782973371176611539352408494684729975138050233941536205303886980301053417953355489734196445212048600619904784918231694966276723284552069994919298934202288621397313026752252056688271197974849371734409226219925865615417096781644884061546044286510263195061615770801627685306044681696906486236181536253225902654189327562087728658634357465234691748697291669479674346992099999320063855645022440795169205173113213858595174156464078028891326307345984896935606959354715327022085106918559428694172852856800988582519903562302210735667704511024120782257313188942100584149255295032906189742185684181427049210625930041067306140740915018436711857788013979669805652208873855243927111308975575780132710921020707311490736856849531951048564407906818504136654645765636203764307391497001329059441533254286640023062676101085435170032973348626081086980779636599080795996395838062465154598447328705298529290547063265606660816127292200184882081494897000421540993011546489695987516252561224703022021430934183680183510565598748247411058}
23901 513025069220404822598333357357232835248281787807432548500465714234784254571811: {47798,358395,382288,430074,788271,1170463,1361103,1672090,2006508,2029715,2076603,2388700,2435658,2745395,2866440,2889359,2934411,3057536,3224745,3294474,3439728,3869694,4345978,4464251,4790031,5075151,5645103,5895643,6178963,6208540,6350218,6926091,7354732,7450248,7685818,7779003,8069074,8381529,8827090,9071740,9340431,9614371,9765771,9882395,9977242,10176691,10506760,10550098,10592508,10757391,10886088,10979740,11174863,11182011,11363548,11820105,11858874,12246849,12608112,12727115,12737103,13175688,13655356,14184126,14538130,14822649,14993871,15272538,15466319,15964090,16119951,16233640,16260603,16270474,17445756,17551065,17691515,17854012,17988178,18262845,18602639,18721136,18894811,19068603,19156908,19208751,19480368,19686058,20351674,20851018,20894125,21061278,21128863,21229818,21471731,21915414,22425531,23109064,23301179,23402031,23820171,24343018,24655803,25072950,25096351,25351503,25396616,25761311,25907631,25997697,26337178,26429579,26744480,26864315,27336451,27435003,27567395,28122940,28266891,28335059,28571193,28742291,29073820,29848750,30087540,30184090,30441532,30895503,31077395,31761391,31778315,31975834,32093376,32237178,32270888,32322383,32586645,32619163,32826831,32841874,33080874,33583211,33747528,34013325,34303738,34578395,34759088,34775740,34888584,35028303,35795771,35818500,35851930,36105048,36220908,36280880,36304749,36550618,36609803,36950431,37292874,37312348,37624540,37908411,37965969,38133978,38206400,38602641,38793625,38911499,39103974,39229411,39249657,39368812,39959151,40039739,40368651,40618179,40744043,40815990,40857515,41050671,41415752,41492698,41494074,41730888,42004491,42248915,42412911,42565738,42606165,42982200,43022316,43229103,43537056,43577674,44812831,45130191,45149448,45197074,45446576,45847680,45887651,45955525,46223338,46552350,46592721,46947249,47141674,47352172,47987578,48354975,48696083,48783291,48904192,48979188,49005340,49006259,49029018,49233883,49323003,49527898,49655840,50188474,50698698,50721625,50793129,51127398,51145618,51199005,51343503,51578640,51665971,52638515,52786330,52897931,54595471,54612272,54668314,55017216,55146630,55212442,55306763,55467525,55570963,55578556,55862820,56083715,56170671,56241160,57239151,57260123,57319073,57447418,57574619,58025970,58039503,58806408,58823072,59086511,59165360,59238411,59288291,59312092,59371503,59424538,59587008,59995858,60568234,60568251,60627898,60651129,60833931,60865950,61232271,61283443,61438806,61854892,61894368,62253820,62705263,63166218,63271305,63343596,64018330,64543371,64923680,64946011,64999115,65298163,65650750,65678236,65682395,66033340,66157209,66175956,66365315,66388234,66561030,66810491,67035384,67181451,67275292,67300458,67489392,67645960,68102511,68352911,68496891,68899016,69174931,69249779,69631164,69774515,69845074,70072251,70218412,70754140,70998432,71251503,71450602,71485411,71549711,71697820,71815715,72203725,72644565,72975419,73039140,73457743,73808530,73894618,74386671,74388203,74647311,74704584,74807891,75414807,75792058,75863578,75888031,75925566,75939871,76022765,76101705,76170268,76487356,76821996,77118603,77487536,77511393,77908416,77993530,77998938,78780900,78818874,79240008,79327763,79387090,79638378,79839951,79873236,80288419,80486331,81175152,81393032,81777291,81884390,82067740,83580603,83729418,84032960,84042657,84731560,84904968,85124332,85299763,85507503,85561231,85821658,85872508,86037384,86178858,86481625,86644470,86661051,86789103,86867563,87001978,87173478,87646968,87917596,88060474,88102738,88570236,88964218,89145009,89855151,89898076,90057737,90192059,90553171,91116508,91227318,91322046,91394171,91567161,92049515,92399631,92420768,92923919,93283090,93386915,93476191,93538858,93592236,94111771,94275436,94537080,94897039,95264508,95323005,95518089,96107560,96324603,96661018,96724115,96792057,96803098,97160251,97711791,97993651,98261268,98481288,98602839,98722115,98801212,98821330,98869354,99047452,99107131,...,1678944544161810385554786713257656019378419316775511926346146788346609378491948535191206578489898990538040122555111626688435682487524489030678044199224932689327682630156692803404990233187443348193906001368209809662001914242685330380276648266250755905603437974129875853051167765023136010788313253127903397721179297428837590789672544304464538535612825082384775392953387905014186422821797993662305989187121659510511581369636923017790707621120114726453542899564314381041835447659080393144430456659962461613807606002816338943587402118331567188952335061829277137982445005343714590087100913315569264196572012329151394473659845017515025652694809968809181158284486000983774925637833743207683197988355976342928335018969493844111469235984109756958300647924581988908010045366813708932554131303945685316963975435124238371835839995745527381271524685056361459110531708710222891947454863423298336829436628242083838934685295920605579800093643878669389151479339759275813579117062412589365225980772184795625557008576484800664125176391571962230763829055689828409849604581318459164624987925256310652506178724757751311756288579941944715827413284123175207776841457791841155283760479746788636375026013646787098653914306477247021932261302646193311308318510009531808953027605037753368820418572550386735083663626822330959079145973800622501959851783103125728150821446072313318818051857131043860115887567470063560681235351676687403581954700902480717632865586646069823487323171630972416342837248293325737749865958952708969237220404682824107752050291937973367697256527663380775104830646670682079543047899573247320143355405767304113298860993192347450245745574931170483233710272448075370728071462513547967854202492229264662265827202343952493673573361680689203232637640219737851007269329998424384832018272375710067982098207423626031883543535644264560124849199396940440105281050697353696009698919029136397592199409314096998468904322875710332829783445694711953428047719636499458918654551579772274022413171138589909087933394893054562963372688695200673853781473810358260945504999159507589812110839070547522692177464640734660069936990641344523747120764847513905581798732681460175406314891898201351607062925004085108355191251555635099167739097685909184018833316363626546627776354013422584378057877054173166336727120983291634999257719121596556502200542480701012005314670924879449385368058487509222074497689141707813026675868914033086572362182940793285567158060262334337221929857738829046400743374102029903579009056564270509406557463243344774683934846682261286427368453875182544012338681759461481910123316439715241398851924592368851469843044343577257081899967942620524450728432408479419963912299210284315353972627271367980206849725723052041844941308112762375291912406053248518707739441350106001482154321435148643737737567973953263010091174460056764917309028612742027094962707075350912304307955830470451580126930033234601294667818072900929857177377347542449415084926828104992378948401303432932095969540128378085032406796962274057601613839329888798423125645172467326092319066429765394792592423656202441527959067022545359729354272304379838853981283991343131592987951536197852037623045937504219511520488149998980095783467533661192753807759669820787892761234696117043336989461018977345403410439032072990533127660377839143041259279285201482873779855343453316103501556766536181173385969783413150876223882942549359284613278526272140573815938895061600959211111372527655067786682020969504708478313310782865890666963463363670199066381531060967236105285274297926572846611860227756204981968648454305646461087245501993589162299881429960034594014151628152755049460022939121630471169454898621193994593757093697731897670993057947793935820594898409991224190938300277323122242345500632311489517319734543981274378841837054533032146401275520275265848398122371116587}
23902 514829679691967000700326843670162589102881317424109107893454147568238586418650: {71697,334502,477860,549217,573432,621062,645111,692317,1051028,1479878,1692001,1814804,1976977,2051702,2119357,2403901,2508135,2675344,2688157,2768804,2985875,3009762,3193622,3247544,3478742,3539197,3583050,3653487,3821920,3912548,4299660,4392632,4586304,4941711,5159592,5514877,5655457,5804541,6038342,6357277,6386708,6518967,6605558,6766868,6917437,7455302,7526804,7760675,8312797,8586278,9193415,9234788,9312810,9525327,9933664,9996758,10372004,10392337,10559942,10841318,11032098,11175372,11339675,11528727,11769697,12103611,12453908,12806918,13021028,13087142,13133450,13139857,13240635,13276477,13607610,13724675,14123344,14204435,14343188,14486102,14514784,14909348,14965863,15760140,15811832,15825147,15881462,15888762,16263901,16329132,16380994,16469610,16810816,16982804,17045322,17069195,17207137,17567584,17788311,18912168,18949501,19349857,19763532,19882657,19991828,20220431,20281501,20292050,20363384,20483034,21276189,21341917,21493268,21606301,21680804,21807195,22222039,22317515,22908807,23261008,23401420,23580001,23946135,23972797,24350460,24405711,24886801,25424804,25542544,25611668,25973824,26168634,26186401,26445457,26781018,26833501,26982267,27091837,27736417,28081704,28237027,28277702,28306424,28507537,28735362,28886330,29020177,29148157,29220552,29365478,29529087,29900708,30414202,30527511,30678301,31202708,31263542,31276527,31591917,31745770,31760228,31769639,31844727,32074838,32198077,32873121,32874404,33430600,33456637,33693542,33802004,33832801,33962822,34543508,34663596,34707997,34832737,35038502,35153675,35575478,36076177,36238783,36342275,36514527,36580004,37609425,37689188,37927837,38051915,38094924,38251718,39505767,39584438,39765754,40006801,40116720,40250017,40338610,40648022,41194004,41220001,41582557,41709302,42184410,42791168,42982904,43032662,43265917,43448860,43469675,43610730,43769108,44107832,44578657,44773125,44996704,45053857,45131310,45276135,45351100,45409501,45662298,45764497,46354717,46518112,46640435,46704404,47030675,47505158,47758000,47785738,47963751,48140064,48294544,48355767,48406332,49211015,49262811,49621311,49723832,49856102,50320477,50435857,50544548,50621292,50845304,50897222,51157142,51241501,51455607,51470188,51585697,51769690,51814801,52138632,52163610,52332876,53278868,53727750,53777895,53824868,54157572,54331362,54421320,54522998,54734228,54825927,54992017,55325432,55641184,55811078,55939311,55968522,56001277,56005988,56436810,56550548,56582198,56808220,57200967,57309600,57363088,57448801,57638804,57864518,58049408,58223197,58655961,59053218,59103901,59190215,59870737,59908742,60173588,60199264,60286639,60525217,61130240,61223985,61256675,61610257,62042257,62069800,62123628,62239047,62241111,62596332,62688097,62957798,63117217,63848607,64473300,64533474,64978982,65044388,65230982,65305584,65366511,65372024,65482838,65764004,66394031,66403837,66613501,67598264,67724172,67795611,67801594,68169864,68265340,68458004,68493878,68771520,69003937,69335007,69473195,69828525,70301450,70712511,70746301,71028258,71218903,71235782,71254801,71732438,71963677,71981367,72228518,72476342,73356288,73468782,73508010,73528840,73543527,73956700,74140115,74268001,74291847,74483760,74763901,74894228,75060577,75282711,75841403,76044817,76048047,76318868,76604827,76691097,76718427,77157638,77216401,77318615,77367960,77386004,77402582,77647382,77701501,77817275,78184801,78377617,78408544,78473917,78625142,78984548,79113158,79162004,79179495,79432957,79449344,79814557,80384797,80757668,80868172,81111908,81154600,81643028,81799057,81918408,82002471,82029158,82097795,82513142,82525824,82541675,82719945,82818663,83367834,83382301,83794230,84094115,84221624,84361740,84458128,84557450,85035997,86057828,86123770,86171127,87025501,87038955,87651217,87773015,88209612,88234608,88442675,88538977,88748040,88752518,88968138,89136807,89380512,89419537,89575268,89622275,89733944,89985856,89993787,90118801,90553501,90803348,90852351,90889622,90941847,91298925,91329188,92071862,92158209,92700001,92782338,92841552,92954557,93250502,93380730,93429668,93714337,93955958,94551697,94664576,94749327,95002004,95015394,95212835,95609195,95876497,96027495,96613597,96858001,96859420,96997958,97101757,97254311,97385520,97463798,97668001,98476125,98517354,98710237,98857862,99050010,99182228,99263934,99529748,99582351,99606112,99661501,99784358,99841545,99865402,99897697,...,2238592725549080514073048951010208025837892422367349235128195717795479171322598046921608771319865320717386830073482168917914243316699318707570725598966576919103576840208923737873320310916591130925208001824279746216002552323580440507035531021667674540804583965506501137401557020030848014384417670837204530294905729905116787719563392405952718047483766776513033857271183873352248563762397324883074652249495546014015441826182564023720943494826819635271390532752419174722447263545440524192573942213283282151743474670421785258116536157775422918603113415772369517309926673791619453449467884420759018928762683105535192631546460023353367536926413291745574877712648001311699900850444990943577597317807968457237780025292658458815292314645479675944400863899442651877346727155751611910072175071927580422618633913498984495781119994327369841695366246741815278814042278280297189263273151231064449105915504322778451912913727894140773066791525171559185535305786345701084772156083216785820301307696246394167409344768646400885500235188762616307685105407586437879799472775091278886166650567008414203341571633010335082341718106589259621103217712164233610369121943722454873711680639662384848500034684862382798205219075302996029243015070194924415077758013346042411937370140050337825093891430067182313444884835763107945438861298400830002613135710804167637534428594763084425090735809508058480154516756626751414241647135568916538109272934536640956843820782194759764649764228841296555123782997724434316999821278603611958982960539577098810336067055917297823596342036884507700139774195560909439390730532764329760191140541023072151065147990923129933660994099908227310978280363264100494304095283351397290472269989639019549687769603125269991564764482240918937643516853626317134676359106664565846442691029834280090642797609898168042511391380859019413499798932529253920140374734263138261346265225372181863456265879085462664625205763834280443773044594259615937904063626181999278558206068773029698696550894851453212117244526524072750617830251593600898471708631747144347927339998879343453082814452094063363589569952854312880093249320855126031662827686463351874109064976908613567208419855864268468809417233338780144473588335407513465556985463581212245358444421818168728837035138684563445837410502738897555115636161311055513332343625495462075336267389974268016007086227899839265847157411316678962765996918855610417368901158552044115429816243921057714089544080349779116295906476985105395200991165469373204772012075419027345875409950991126366245246462243015048569824605166910058683118242345948642546831088586286988531802566123158468626457392458103009442533290590160699267637909877972559951883065613712420471963503028490640275799634297402722459921744150349833722549874737664691610319255133474668642872428580198191650316757298604350680121565946742353223078704816989369459950276100467883072410607773960602106835906710979468392890424097201239809569836463389932553446569104139989838597868404577242794626053504504113376542395949698743468818452439851731230834193563289768123092088573020526390123231541603255370612089363393812972472363072506451805308378655124175457317268714930469383497394583338959348693984199998640127711290044881590338410346226427717190348312928156057782652614691969793871213918709430654044170213837118857388345705713601977165039807124604421471335409022048241564514626377884201168298510590065812379484371368362854098421251860082134612281481830036873423715576027959339611304417747710487854222617951151560265421842041414622981473713699063902097128815813637008273309291531272407528614782994002658118883066508573280046125352202170870340065946697252162173961559273198161591992791676124930309196894657410597058581094126531213321632254584400369764162989794000843081986023092979391975032505122449406044042861868367360367021131197496494822116}
23903 516640596936883143532704025228412732497008790804863641736473348806729480196181: {95596,501753,597325,716790,764576,860148,931593,1313785,1576542,2219817,2268505,2340926,2722206,2841601,3077553,3344180,3414697,3461005,3843553,4013016,4059430,4153206,4514643,4777400,4790433,4871316,4890685,4989457,5218113,5275933,5374575,5490790,5732880,5778718,5868822,6038857,6115072,6449490,6588948,6879456,6898141,7739388,7983385,8458585,8691956,8928502,9057513,9408505,9580062,9908337,10150302,11182953,11290206,11543485,11761501,11791286,12357926,12417080,12620353,12700436,12879417,12965005,13835353,13852182,13969215,14709464,14900496,14995137,15371636,15467617,15558006,15567385,15839913,15990601,16138148,16261977,16276285,16548147,16763058,17654180,17817961,17928985,18143480,18278377,18636685,18680862,19126657,19210377,19228742,19531542,19630713,19700175,19764790,19954484,20353382,20411415,20693497,21013520,21100196,21185016,21228505,21473533,21514782,21729153,21772176,21959480,21984937,22349726,22364022,22727096,23640210,23717748,23822193,23833143,23898481,23997817,24493698,24571491,24704415,24768121,24989785,25216224,25454230,25474206,25567983,25763473,26351376,26866585,26952937,27101005,27129841,27310712,27537757,28337437,28368252,29045113,29076260,29251775,29551933,29645298,29717257,29987742,30289201,30438075,30545076,30724551,30932638,31234957,31781005,31928180,32014585,32123737,32239902,32467280,32476201,32521206,32540948,33418057,34239601,34891512,35102130,35383030,35708024,35976356,36318337,36525690,36695833,37205278,37375885,37442272,37534177,37610041,37789622,38137206,38313816,38417502,38594353,38914777,38960736,39003385,39134617,39228061,39252951,39372116,39433801,39700285,40171527,40703348,41093005,41421241,41702036,41788250,41992897,42122556,42125197,42252505,42257726,42304093,42416553,42459636,42943462,43103043,43179385,43246417,43329495,43508353,43553977,43830828,44048217,44489641,44851062,45137257,45621303,45667933,45725005,45986317,46218128,46602358,46697293,46804062,46895313,47111485,47618655,47640342,48112257,48126073,48409753,48686036,49311606,50145900,50192702,50386717,50540313,50703006,50793232,50944233,51492505,51522622,51815262,51995394,52386001,52557753,52674356,52859158,53363217,53488960,53728630,54311075,54672902,54711385,54870006,55134790,56114161,56245880,56533782,56670118,56688875,57142386,57200521,57377577,57484582,58060057,58147640,58380505,58505353,59121217,59148481,59376657,59526301,59607097,59648631,59697500,60175080,60368180,60383137,60507915,60883064,60972033,61209097,61770433,61791006,61813441,62154790,62563953,63180685,63276615,63522782,63556630,63951668,64186752,64337735,64474356,64541776,64548993,64644766,65173290,65238326,65416095,65653662,65683748,66161748,66598585,67166422,67281085,67338241,67495056,67696965,68026650,68358697,68417785,68493447,68607476,69156790,69382513,69518176,69551480,69631117,69777168,69829513,69900457,70007485,70056606,70688185,71010275,71200477,71257737,71591542,71637000,71678607,71703860,72048505,72210096,72441816,72561760,72609498,72627817,73101236,73219606,73494817,73693921,73749001,73900862,74585748,74624696,74784153,74814193,74911561,75216985,75249080,75816822,75899977,75931938,76059577,76267956,76345833,76412800,76735713,76909837,77205282,77587250,77654535,77822998,77864797,78207948,78245415,78458822,78499314,78517201,78737624,78957853,79334461,79918302,80079478,80133121,80591625,80670601,80737302,80780713,81236358,81305485,81488086,81497043,81631980,81715030,81784497,82101342,82205005,82831504,82985396,82988148,83461776,83716617,83952783,84008982,84497830,84655215,84825822,84873297,85131476,85212330,85331675,85572505,85785601,85964400,86044632,86243677,86458206,86747677,86796777,87074112,87155348,87460201,88579827,88660441,89625662,89706433,89863113,90199657,90260382,90298896,90394148,90893152,90998761,91401937,91695360,91775302,91911050,91955353,92445875,92446676,92738473,92911441,93104700,93185442,93617785,93894498,94283348,94436697,94704344,95398585,95975156,96412201,96709950,96732505,96800211,97392166,97468473,97566582,97684321,97808384,97846473,97958376,98010680,98012518,98058036,98224257,98394301,98467766,98646006,98730685,98952505,99043417,99055796,99311293,99311680,99417361,99585097,...,3357889088323620771109573426515312038756838633551023852692293576693218756983897070382413156979797981076080245110223253376871364975048978061356088398449865378655365260313385606809980466374886696387812002736419619324003828485370660760553296532501511811206875948259751706102335530046272021576626506255806795442358594857675181579345088608929077071225650164769550785906775810028372845643595987324611978374243319021023162739273846035581415242240229452907085799128628762083670895318160786288860913319924923227615212005632677887174804236663134377904670123658554275964890010687429180174201826631138528393144024658302788947319690035030051305389619937618362316568972001967549851275667486415366395976711952685856670037938987688222938471968219513916601295849163977816020090733627417865108262607891370633927950870248476743671679991491054762543049370112722918221063417420445783894909726846596673658873256484167677869370591841211159600187287757338778302958679518551627158234124825178730451961544369591251114017152969601328250352783143924461527658111379656819699209162636918329249975850512621305012357449515502623512577159883889431654826568246350415553682915583682310567520959493577272750052027293574197307828612954494043864522605292386622616637020019063617906055210075506737640837145100773470167327253644661918158291947601245003919703566206251456301642892144626637636103714262087720231775134940127121362470703353374807163909401804961435265731173292139646974646343261944832685674496586651475499731917905417938474440809365648215504100583875946735394513055326761550209661293341364159086095799146494640286710811534608226597721986384694900491491149862340966467420544896150741456142925027095935708404984458529324531654404687904987347146723361378406465275280439475702014538659996848769664036544751420135964196414847252063767087071288529120249698398793880880210562101394707392019397838058272795184398818628193996937808645751420665659566891389423906856095439272998917837309103159544548044826342277179818175866789786109125926745377390401347707562947620716521891009998319015179624221678141095045384354929281469320139873981282689047494241529695027811163597465362920350812629783796402703214125850008170216710382503111270198335478195371818368037666632727253093255552708026845168756115754108346332673454241966583269998515438243193113004401084961402024010629341849758898770736116975018444148995378283415626053351737828066173144724365881586571134316120524668674443859715477658092801486748204059807158018113128541018813114926486689549367869693364522572854736907750365088024677363518922963820246632879430482797703849184737702939686088687154514163799935885241048901456864816958839927824598420568630707945254542735960413699451446104083689882616225524750583824812106497037415478882700212002964308642870297287475475135947906526020182348920113529834618057225484054189925414150701824608615911660940903160253860066469202589335636145801859714354754695084898830169853656209984757896802606865864191939080256756170064813593924548115203227678659777596846251290344934652184638132859530789585184847312404883055918134045090719458708544608759677707962567982686263185975903072395704075246091875008439023040976299997960191566935067322385507615519339641575785522469392234086673978922037954690806820878064145981066255320755678286082518558570402965747559710686906632207003113533072362346771939566826301752447765885098718569226557052544281147631877790123201918422222745055310135573364041939009416956626621565731781333926926727340398132763062121934472210570548595853145693223720455512409963937296908611292922174491003987178324599762859920069188028303256305510098920045878243260942338909797242387989187514187395463795341986115895587871641189796819982448381876600554646244484691001264622979034639469087962548757683674109066064292802551040550531696796244742233174}
23904 518457842853297184459781302665972852805574918725023493345349330930069240536211: {119495,143394,262823,406079,669004,740063,955720,1075185,1098434,1121279,1146864,1242124,1290222,1384634,1692143,1739663,2102056,2364813,2451503,2959756,3114263,3256079,3384002,3511389,3586703,3629608,3728279,3869783,3953954,4083309,4103404,4180225,4238714,4807802,5016270,5350688,5374679,5376314,5515343,5537608,5702783,5971750,6019524,6089145,6229809,6387244,6404543,6495088,6544679,6638063,6957484,7078394,7166100,7306974,7337423,7643840,7825096,7942079,8174279,8236185,8599320,8638079,8668077,8777063,8785264,8803233,9172608,9674235,9883422,10116863,10319184,10715279,10864945,11029754,11310914,11404079,11609082,12076684,12714554,12773416,12776279,12870781,13037934,13211116,13323143,13392753,13459679,13533736,13823423,13834874,14141279,14277383,14370093,14910604,15053608,15182903,15225453,15521350,15724679,15875545,16265303,16625594,16935309,17172556,17611823,17686929,17880263,18193079,18386830,18469576,18536889,18625620,18995663,19050654,19214545,19867328,19884383,19886209,19993516,20172685,20194679,20327543,20416079,20744008,20778273,20784674,20946623,21119884,21608183,21682636,22064196,22067725,22180079,22350744,22531343,22679350,22838279,23057454,23337009,23539394,23625743,23896873,24018503,24207222,24802079,24907816,24932423,24943105,25019279,25144587,25453079,25613836,26042056,26174284,26231903,26266900,26279714,26375245,26447783,26481270,26552954,26965079,27215220,27449350,27524183,28021293,28246688,28408870,28686376,28843113,28972204,29022743,29029568,29193383,29297313,29647185,29818696,29931726,30530073,30681023,30935063,31244521,31520280,31623664,31650294,31762924,31777524,31990463,32272173,32527802,32579303,32658264,32761988,32939220,32998943,33524589,33546033,33621632,33965608,34086263,34090644,34138390,34414274,35135168,35460315,35576622,35624279,35707103,35955383,36120743,36244679,36345325,36740547,36863279,37545937,37824336,37899002,38181345,38211309,38422343,38699714,38708279,39527064,39765314,39910225,39983656,40010423,40415663,40440862,40563002,40584100,40676185,40726768,40966068,41143079,41264063,41344679,41827703,41948279,42068783,42552378,42683834,42986536,43212602,43361608,43614390,43668623,44026823,44444078,44467947,44635030,44860103,44970445,44981613,45057983,45453143,45532079,45817614,46398263,46398957,46516079,46522016,46802840,46829903,47160002,47807303,47892270,47945594,48157943,48359853,48585623,48700920,48781809,48811422,49215145,49438079,49554023,49773602,50478983,50594279,50849608,50879185,51085088,51223336,51246263,51284543,51819623,51934079,51947648,52048463,52127545,52315079,52337268,52372802,52653195,52890914,53074545,53272681,53562036,53566703,53667002,53906543,53964534,54183674,54584279,54788535,55221983,55472834,55782743,55807917,56163408,56453279,56474054,56555404,56612848,56684433,56824679,56935943,57015074,57121223,57205809,57454223,57470724,57491183,57626253,57772660,58007783,58040354,58296314,58441104,58730956,59036279,59058174,59146103,59767079,59801416,59876423,60676079,60828404,60857545,60965903,61055022,61356602,61940279,62405416,62527084,62553054,62682375,62729903,63183834,63386589,63491540,63520456,63539278,63689454,64149676,64396154,64415193,65296609,65746242,65748808,65842945,66025079,66861200,66913274,67276593,67387084,67604008,67665602,67925644,68895421,69045023,69087016,69216743,69327192,69415994,69665474,69903537,70077004,70206093,70307350,70753223,70787183,71150956,71460513,71599823,72152354,72206279,72374279,72477566,72609143,72684550,72776663,73029054,73160008,73211279,73378079,73810823,73967409,74275343,74308463,74621875,75199679,75218850,75289053,75378376,75460225,75757823,75855674,76054509,76103830,76189848,76346279,76444103,76503436,76932143,77256503,77283933,77709263,77722893,77993091,78128279,78192623,78465673,78513863,78706223,79011534,79090079,79168876,79288737,79531508,79822583,79939585,80013602,80233440,80424503,80500034,80592945,80677220,81054983,81296044,81369023,81619679,82009353,82025903,82104685,82305009,82388008,82399679,82440002,82702185,82866301,83020079,83165114,83418604,83421623,84368820,84709679,84763921,84800673,85005177,85257383,85409063,85582336,85713579,85759345,85772279,85965808,86065324,86134343,86226873,86435183,86525279,86531834,86675279,86765183,86897720,86939350,87034463,87064343,87221460,87511583,87538216,87571079,87660263,88215664,88842503,89157314,89341079,89546250,89629825,89630749,89866463,89993408,90107714,90128183,90262620,90552270,90562943,90591863,90702200,90819002,91324596,91376545,91455743,91528994,91942079,92141663,92686509,92709434,93036224,93161903,93232185,93280870,93408808,93555863,93920279,94061350,94339079,94422623,95010316,95284173,95334945,95516000,95571476,95914103,95927502,95996279,96280128,96542279,96589088,96711534,96812664,96967149,97262473,97705343,97759935,97857489,98422030,98480493,98525622,99242622,99277103,99447664,99672263,99712204,99751079,...,5036833632485431156664360139772968058135257950326535779038440365039828135475845605573619735469696971614120367665334880065307047462573467092034132597674798067983047890470078410214970699562330044581718004104629428986005742728055991140829944798752267716810313922389627559153503295069408032364939759383710193163537892286512772369017632913393615606838475247154326178860163715042559268465393980986917967561364978531534744108910769053372122863360344179360628698692943143125506342977241179433291369979887384841422818008449016830762206354994701566857005185487831413947335016031143770261302739946707792589716036987454183420979535052545076958084429906427543474853458002951324776913501229623049593965067929028785005056908481532334407707952329270874901943773745966724030136100441126797662393911837055950891926305372715115507519987236582143814574055169084377331595126130668675842364590269895010488309884726251516804055887761816739400280931636008167454438019277827440737351187237768095677942316554386876671025729454401992375529174715886692291487167069485229548813743955377493874963775768931957518536174273253935268865739825834147482239852369525623330524373375523465851281439240365909125078040940361295961742919431741065796783907938579933924955530028595426859082815113260106461255717651160205250990880466992877237437921401867505879555349309377184452464338216939956454155571393131580347662702410190682043706055030062210745864102707442152898596759938209470461969514892917249028511744879977213249597876858126907711661214048472323256150875813920103091769582990142325314491940012046238629143698719741960430066217301912339896582979577042350737236724793511449701130817344226112184214387540643903562607476687793986797481607031857481020720085042067609697912920659213553021807989995273154496054817127130203946294622270878095650630606932793680374547598190821320315843152092061088029096757087409192776598227942290995406712968627130998489350337084135860284143158909498376755963654739316822067239513415769727263800184679163688890118066085602021561344421431074782836514997478522769436332517211642568076532393922203980209810971924033571241362294542541716745396198044380526218944675694604054821188775012255325065573754666905297503217293057727552056499949090879639883329062040267753134173631162519499010181362949874904997773157364789669506601627442103036015944012774638348156104175462527666223493067425123439080027606742099259717086548822379856701474180787003011665789573216487139202230122306089710737027169692811528219672389730034324051804540046783859282105361625547632037016045278384445730369949319145724196555773777106554409529133030731771245699903827861573352185297225438259891736897630852946061917881814103940620549177169156125534823924338287125875737218159745556123218324050318004446462964305445931213212703921859789030273523380170294751927085838226081284888121226052736912923867491411354740380790099703803884003454218702789571532132042627348245254780484314977136845203910298796287908620385134255097220390886822172804841517989666395269376935517401978276957199289296184377777270968607324583877201067636079188062816913139516561943851974029394778963854608593556112869137812512658534561464449996940287350402600983578261423279009462363678283704088351130010968383056932036210231317096218971599382981133517429123777837855604448621339566030359948310504670299608543520157909350239452628671648827648077853839835578816421721447816685184802877633334117582965203360046062908514125434939932348597672000890390091010597199144593182901708315855822893779718539835580683268614945905945362916939383261736505980767486899644289880103782042454884458265148380068817364891413508364695863581983781271281093195693012979173843381807461784695229973672572814900831969366727036501896934468551959203631943823136525511163599096439203826560825797545194367113349761}
23905 520281439414893805153764869401274276748115199797768280814616795179448899451660: {191192,215091,836255,1003506,1194650,1433580,1529152,1552655,1647651,1720296,1839299,1863186,1935333,2076951,2627570,3153084,3175907,3699695,4035551,4439634,4537010,4681852,4845407,5076003,5129255,5444412,5683202,5896631,5930931,6155106,6358071,6688360,6829394,6846959,6922010,7136831,7211703,7524405,7687106,7709687,7984055,8026032,8064471,8118860,8306412,8696855,8957625,9029286,9554800,9580866,9709799,9742632,9781370,9978914,10436226,10551866,10617591,10749150,10960461,10981580,11176739,11465760,11557436,11737644,11842019,12077714,12230144,12572639,12898980,13145207,13171907,13177896,13758912,13796282,14825133,15095855,15478776,15966770,15991943,16160879,16513895,16544631,16917170,16966371,17383912,17413623,17560499,17857004,18115026,18151007,18279911,18638255,18817010,18897983,19071831,19160124,19556901,19816674,20300604,20752311,21465695,21794339,22365906,22580412,22604231,22786799,23086970,23282025,23523002,23582572,23999831,24455951,24708599,24715852,24834160,24938391,24991895,25100579,25240706,25400872,25758834,25930010,26091359,26399855,26710067,27103295,27580245,27670706,27704364,27938430,28575981,29418928,29719751,29719907,29800992,29990274,30291743,30321587,30743272,30935234,31116012,31134770,31177011,31679826,31766723,31853471,31981202,32017295,32276296,32523954,32552570,32624639,32717855,32833625,33028631,33096294,33202499,33526116,34019025,34586181,34715939,34985699,35308360,35309091,35635922,35857970,36145559,36215255,36286960,36310833,36556754,37273370,37361724,37613219,37941407,38253314,38420754,38457484,39063084,39261426,39400350,39419571,39437123,39529580,39703655,39721905,39829431,39908968,40464983,40706764,40822830,40952485,41174025,41386994,42027040,42200392,42370032,42457010,42613305,42921671,42947066,43029564,43458306,43544352,43843127,43918960,43969874,44041331,44493407,44699452,44728044,44820419,44897589,45030383,45454192,45990191,46603583,47280420,47435496,47475441,47644386,47666286,47796962,47995634,48791703,48987396,49142982,49408830,49536242,49979570,50432448,50730125,50908460,50948412,51040631,51135966,51207585,51299999,51526946,51621411,52326239,52702752,53344031,53364933,53733170,53861663,53905874,54202010,54259682,54604739,54621424,55075514,55580399,56674874,56736504,56848503,57530207,58049571,58064963,58090226,58152520,58503550,59002679,59103866,59153507,59290596,59434514,59598911,59647971,59975484,60451139,60578402,60661293,60844503,60876150,61090152,61449102,61865276,62430023,62469914,62715827,63562010,63828567,63856360,64015007,64025751,64029170,64247474,64479804,64818903,64934560,64952402,65042412,65081896,65421585,65956079,66666117,66836114,66952545,68479202,68616431,68726421,69535247,69783024,70204260,70420163,70444751,70694255,70740003,70766060,71009951,71416048,71838405,71918391,71952712,72089507,72215825,72636674,73051380,73217133,73391666,73413695,74410556,74433263,74660403,74673671,74751770,74884544,75068354,75127487,75220082,75260387,75579244,75906371,76035505,76274412,76595939,76627632,76835004,77188706,77829554,77921472,78006770,78158855,78269234,78456122,78505902,78559203,78744232,78835139,78867602,79336371,79364425,79400570,80139887,80187095,80343054,80500503,80787551,80946801,81189383,81275511,81406696,81732707,82186010,82609631,82842482,83209251,83234783,83404072,83576500,83985794,84233855,84245112,84250394,84505010,84515452,84608186,84711081,84833106,84907055,84919272,84929399,85522611,85792883,85886924,86206086,86358770,86492834,86658990,86857511,87016706,87060531,87107954,87325799,87444471,87596255,87661656,88096434,88452959,88587261,88667927,88817279,88922531,88938695,88979282,89560547,89702124,89888591,90072829,90274514,90979271,91242606,91335866,91450010,91582533,91972634,92034903,92436256,93204716,93238019,93394586,93491939,93608124,93790626,93829581,94069799,94193519,94222970,94521359,94775751,95237310,95280684,95308917,95337983,95534181,95629295,95784899,96224514,96252146,96420323,96594231,96819506,97372072,98010479,98619363,98623212,98961095,98963459,99414385,99537551,...,6715778176647241542219146853030624077513677267102047705384587153386437513967794140764826313959595962152160490220446506753742729950097956122712176796899730757310730520626771213619960932749773392775624005472839238648007656970741321521106593065003023622413751896519503412204671060092544043153253012511613590884717189715350363158690177217858154142451300329539101571813551620056745691287191974649223956748486638042046325478547692071162830484480458905814171598257257524167341790636321572577721826639849846455230424011265355774349608473326268755809340247317108551929780021374858360348403653262277056786288049316605577894639380070060102610779239875236724633137944003935099702551334972830732791953423905371713340075877975376445876943936439027833202591698327955632040181467254835730216525215782741267855901740496953487343359982982109525086098740225445836442126834840891567789819453693193347317746512968335355738741183682422319200374575514677556605917359037103254316468249650357460903923088739182502228034305939202656500705566287848923055316222759313639398418325273836658499951701025242610024714899031005247025154319767778863309653136492700831107365831167364621135041918987154545500104054587148394615657225908988087729045210584773245233274040038127235812110420151013475281674290201546940334654507289323836316583895202490007839407132412502912603285784289253275272207428524175440463550269880254242724941406706749614327818803609922870531462346584279293949292686523889665371348993173302950999463835810835876948881618731296431008201167751893470789026110653523100419322586682728318172191598292989280573421623069216453195443972769389800982982299724681932934841089792301482912285850054191871416809968917058649063308809375809974694293446722756812930550560878951404029077319993697539328073089502840271928392829694504127534174142577058240499396797587761760421124202789414784038795676116545590368797637256387993875617291502841331319133782778847813712190878545997835674618206319089096089652684554359636351733579572218251853490754780802695415125895241433043782019996638030359248443356282190090768709858562938640279747962565378094988483059390055622327194930725840701625259567592805406428251700016340433420765006222540396670956390743636736075333265454506186511105416053690337512231508216692665346908483933166539997030876486386226008802169922804048021258683699517797541472233950036888297990756566831252106703475656132346289448731763173142268632241049337348887719430955316185602973496408119614316036226257082037626229852973379098735739386729045145709473815500730176049354727037845927640493265758860965595407698369475405879372177374309028327599871770482097802913729633917679855649196841137261415890509085471920827398902892208167379765232451049501167649624212994074830957765400424005928617285740594574950950271895813052040364697840227059669236114450968108379850828301403649217231823321881806320507720132938405178671272291603719428709509390169797660339707312419969515793605213731728383878160513512340129627187849096230406455357319555193692502580689869304369276265719061579170369694624809766111836268090181438917417089217519355415925135965372526371951806144791408150492183750016878046081952599995920383133870134644771015231038679283151571044938784468173347957844075909381613641756128291962132510641511356572165037117140805931495119421373813264414006227066144724693543879133652603504895531770197437138453114105088562295263755580246403836844445490110620271146728083878018833913253243131463562667853853454680796265526124243868944421141097191706291386447440911024819927874593817222585844348982007974356649199525719840138376056606512611020197840091756486521884677819594484775978375028374790927590683972231791175743282379593639964896763753201109292488969382002529245958069278938175925097515367348218132128585605102081101063393592489484466348}
23906 522111408671157332474747047717859602365351451774344161182937531575923521772739: {167293,238990,286788,310609,453853,525646,812158,883153,1338008,1480126,1505259,1739809,1791975,1882333,1911440,2150370,2196868,2242558,2293728,2484248,2580444,2769268,2794779,3303613,3384286,3479326,3870109,3941355,4204112,4729626,4903006,5422033,5852315,5919512,6228526,6512158,6545233,6659451,6685309,6768004,6805515,7022778,7173406,7244893,7259216,7384609,7456558,7739566,7907908,8166618,8206808,8221393,8360450,8477428,8524803,8638813,9232659,9333073,9610273,9615604,10032540,10148575,10163809,10244091,10383015,10701376,10749358,10752628,11030686,11075216,11405566,11530659,11943500,12039048,12178290,12459618,12774488,12809086,12990176,13089358,13276126,13543929,13726975,13914968,14156788,14278609,14332200,14371299,14446795,14613948,14672055,14674846,14968371,15210923,15287680,15650192,15654339,15827799,15884158,16123725,16348558,16446673,16472370,16985809,17120413,17198640,17276158,17336154,17554126,17570528,17606466,18116571,18345216,19348470,19664209,19766844,20196433,20233726,20638368,20694423,21430558,21729890,22059508,22225763,22321255,22621828,22808158,23218164,23950155,24153368,25375755,25429108,25546832,25552558,25585309,25715233,25741562,26075868,26422232,26646286,26785506,26900363,26919358,27067472,27172539,27646846,27669748,28041553,28225515,28241759,28282558,28554766,28740186,29478215,29725011,29821208,30107216,30365806,30450906,30894815,31042700,31449358,31751090,31774963,31993309,32530606,32624209,32750173,33251188,33548859,33870618,34345112,34630455,34920347,35223646,35284503,35373858,35760526,36247933,36386158,36773660,36925343,36939152,37073778,37251240,37861059,37991326,38101308,38429090,38638251,38711773,38834209,38895015,38956573,39323233,39445309,39734656,39768766,39772418,39987032,40345370,40389358,40655086,40832158,41146813,41388733,41488016,41506059,41556546,41569348,41893246,41907645,42239768,43216366,43365272,44128392,44135450,44360158,44372471,44701488,44985411,45062686,45358700,45575713,45676558,46114908,46402851,46674018,46702155,47078788,47251486,47343133,47519739,47793746,47971803,48037006,48071855,48414444,48785931,48828855,49411975,49558609,49604158,49644441,49815632,49864846,49886210,50038558,50289174,50598973,50883455,50906158,51174433,51227672,51289309,51404113,52084112,52348568,52463806,52533800,52559428,52750490,52895566,52962540,53003809,53105908,53453883,53786955,53930158,54430440,54835131,54898700,55048366,55264609,55874315,55910055,56042586,56493376,56495773,56817740,56946659,57372752,57379971,57496609,57607453,57631131,57686226,57944408,58045486,58059136,58160593,58386766,58491613,58594626,58892139,59100525,59294370,59637392,59863452,60681853,61060146,61234245,61362046,61870126,62080491,62489042,62958623,63040560,63057853,63247328,63300588,63525848,63555048,63592993,63635575,63685515,63980926,64420599,64544346,65055604,65158606,65187459,65316528,65523976,65610109,65878440,65954811,65997886,66031453,67049178,67092066,67243264,67931216,68120893,68172526,68181288,68224609,68276780,68742109,68828548,68901203,69257809,70270336,70794109,70920630,71153244,71230859,71248558,71404093,71414206,71466579,71499429,71695443,71708113,71910766,71993451,72213373,72241486,72414973,72489358,72690650,72817309,72978563,73481094,73714473,73718353,73726558,74113245,74304363,74315809,74969355,75091874,75305809,75648672,75798004,76288609,76362690,76422618,76703949,76844686,77290419,77331595,77399428,77416558,77652433,78714109,79054128,79530628,79820450,79967312,80020846,80599755,80831326,80858811,80881724,81094609,81126004,81168200,81303015,81352370,81389523,81453536,81659233,81932136,82034209,82286158,82528126,82613271,82689358,83059453,83655406,83896558,84137566,84259873,85012311,85104756,85200563,85266109,85367668,85973072,86173309,86425204,86723216,87073309,87135339,87228780,87337246,87609853,87755325,88053646,88457575,88655799,88763473,88888156,88935894,89151771,89270060,89379613,89642593,89720206,89940890,89963226,90115966,90601309,90867603,90906286,91064158,91314225,91635228,92173653,92180123,92732159,92796526,92797914,93013195,93032158,93044032,93593809,93605680,93659806,93704871,94320004,94349053,94432609,94474055,94736147,95343015,95614606,95784540,95891188,96043755,96088609,96170653,96315886,96371211,96719706,97171246,97401840,97428603,97563618,97622844,97635133,98430290,98876158,98917309,99108046,99547204,...,10073667264970862313328720279545936116270515900653071558076880730079656270951691211147239470939393943228240735330669760130614094925146934184068265195349596135966095780940156820429941399124660089163436008209258857972011485456111982281659889597504535433620627844779255118307006590138816064729879518767420386327075784573025544738035265826787231213676950494308652357720327430085118536930787961973835935122729957063069488217821538106744245726720688358721257397385886286251012685954482358866582739959774769682845636016898033661524412709989403133714010370975662827894670032062287540522605479893415585179432073974908366841959070105090153916168859812855086949706916005902649553827002459246099187930135858057570010113816963064668815415904658541749803887547491933448060272200882253595324787823674111901783852610745430231015039974473164287629148110338168754663190252261337351684729180539790020976619769452503033608111775523633478800561863272016334908876038555654881474702374475536191355884633108773753342051458908803984751058349431773384582974334138970459097627487910754987749927551537863915037072348546507870537731479651668294964479704739051246661048746751046931702562878480731818250156081880722591923485838863482131593567815877159867849911060057190853718165630226520212922511435302320410501981760933985754474875842803735011759110698618754368904928676433879912908311142786263160695325404820381364087412110060124421491728205414884305797193519876418940923939029785834498057023489759954426499195753716253815423322428096944646512301751627840206183539165980284650628983880024092477258287397439483920860132434603824679793165959154084701474473449587022899402261634688452224368428775081287807125214953375587973594963214063714962041440170084135219395825841318427106043615979990546308992109634254260407892589244541756191301261213865587360749095196381642640631686304184122176058193514174818385553196455884581990813425937254261996978700674168271720568286317818996753511927309478633644134479026831539454527600369358327377780236132171204043122688842862149565673029994957045538872665034423285136153064787844407960419621943848067142482724589085083433490792396088761052437889351389208109642377550024510650131147509333810595006434586115455104112999898181759279766658124080535506268347262325038998020362725899749809995546314729579339013203254884206072031888025549276696312208350925055332446986134850246878160055213484198519434173097644759713402948361574006023331579146432974278404460244612179421474054339385623056439344779460068648103609080093567718564210723251095264074032090556768891460739898638291448393111547554213108819058266061463542491399807655723146704370594450876519783473795261705892123835763628207881241098354338312251069647848676574251751474436319491112246436648100636008892925928610891862426425407843719578060547046760340589503854171676452162569776242452105473825847734982822709480761580199407607768006908437405579143064264085254696490509560968629954273690407820597592575817240770268510194440781773644345609683035979332790538753871034803956553914398578592368755554541937214649167754402135272158376125633826279033123887703948058789557927709217187112225738275625025317069122928899993880574700805201967156522846558018924727356567408176702260021936766113864072420462634192437943198765962267034858247555675711208897242679132060719896621009340599217087040315818700478905257343297655296155707679671157632843442895633370369605755266668235165930406720092125817028250869879864697195344001780780182021194398289186365803416631711645787559437079671161366537229891811890725833878766523473011961534973799288579760207564084909768916530296760137634729782827016729391727163967562542562186391386025958347686763614923569390459947345145629801663938733454073003793868937103918407263887646273051022327198192878407653121651595090388734226699522}
23907 523947772747631516889986876715874275919203312784905511107770713715362696747999: {358485,382384,430182,788469,1170757,1218237,1672510,2007012,2173717,2220189,2389300,2746085,2867160,3058304,3105310,3225555,3295302,3363837,3440592,3461585,3678598,3726372,3870666,4153902,4465373,5076429,5179573,5218989,5255140,6039869,6306168,6351814,6899297,7094439,7180957,7354509,7399390,8071102,8460005,8616709,8879268,9074020,9342789,9363704,9690814,9768237,9884885,10152006,10258510,10534167,10596785,10760109,10888824,11177677,11184837,11366404,11475217,11609349,11793262,11861862,12019505,12175597,12249927,12310212,12540675,12716142,13376720,13440785,13658788,13693918,13844020,14051773,14273662,14423406,14929375,15048810,15374212,15419374,15968110,16052064,16124037,16128942,16237720,16546029,16612824,17108349,17393710,17695985,17915250,18058572,18267435,18689427,18899569,19109600,19161732,19213629,19419598,19485264,19562740,19634037,19914189,19957828,20753317,20872452,21103732,21134197,21235182,21498300,21741269,21920922,21963160,22012269,22353478,22931520,23114872,23119453,23475288,23684038,23826237,23902493,24155428,24460288,24522837,24708555,25145278,25797960,25914237,26004231,26093557,26290414,26331189,26343814,26355792,26409699,27517824,27574385,27592564,27615493,27999653,28277285,28749533,29022705,29049989,29650266,30051973,30191710,30350589,30957552,31769389,31786385,31933540,31983886,32145837,32321758,32481653,32594835,32627377,33027790,33089262,33834340,33932742,34212237,34587185,34767824,34827246,34988653,35120998,35714008,36010913,36230052,36302014,36559822,36959797,37276510,37634020,37795966,37908757,37944613,38143662,38320248,38328837,38612343,38803375,38886629,38921333,39113802,39239317,39633348,39969429,40178259,40379037,40601208,40754309,40845713,41470269,41504622,41563985,42423837,42832149,42931390,43110279,43588678,44731812,44824213,45160824,45208462,45436109,45548709,45573598,45676359,45804997,45899213,45967075,46173940,46564050,46607509,47046004,47165144,47174037,47626635,47999662,48795909,48911902,49417198,49431704,49668320,49876782,49983790,50201158,50481412,50701357,50801744,50805927,51517668,51745649,51860020,51961685,52182718,52602917,52799710,52835469,53060787,53420134,53640789,54206590,54579237,55160490,55320737,55341412,55408728,55585117,55610667,55876860,56698375,56986989,57151962,57333479,57335293,57643635,58837856,58848485,59101493,59439502,59439814,59601984,59653149,59658627,59980548,60135953,60518055,60583486,60584037,60643174,60648269,60982629,61248237,61399409,61486544,61870468,62232024,62269540,62334819,62354022,62839869,63359652,63533446,63706942,63962404,64034590,64552592,64824549,65047908,65105140,65249278,65435710,65667250,65699285,66000173,66057262,66192588,66203175,66382385,66404998,66540237,66857009,67052232,67594029,68038050,68370269,68514837,68622229,68623375,69172362,69431878,69912293,69971398,70011027,70616720,70618182,70877229,71022175,71271844,71567789,71690619,71715940,72055509,72291118,72430510,72573920,72621666,73113508,74406237,74546740,74723448,74797269,74826797,74829315,75057837,75226438,75433761,75882814,75907189,76072469,76359237,76506628,76841508,76914968,78126168,78522852,78695709,78800700,78839142,78874246,79059160,79125735,79343349,79383893,79407310,79443810,79658862,79817936,80308693,80895237,80929966,81319505,81413528,81645660,81904970,82348050,82572549,82773988,82809509,83223829,84054080,84063879,84400784,84740064,84914020,85226610,85321297,85345975,85843342,85894132,86035685,86059128,86529339,86916612,87068229,87088704,87580149,87686254,87837920,87891939,87939748,88082662,88941555,88986814,89398904,89456088,89568109,89640838,89795178,89886533,90060766,90214853,90576037,90908384,91315517,91590219,91980382,92043069,92805189,92947613,93207166,93733563,94322993,94560840,94747505,94870992,94921093,94950882,95288772,95332572,95593924,95828113,95951089,95971389,95991268,96749285,96816519,97583406,97737909,97974792,98285964,98817660,98971957,98996829,99072484,99132157,99413285,99959140,...,15110500897456293469993080419318904174405773850979607337115321095119484406427536816720859206409090914842361102996004640195921142387720401276102397793024394203949143671410235230644912098686990133745154012313888286958017228184167973422489834396256803150430941767168882677460509885208224097094819278151130579490613676859538317107052898740180846820515425741462978536580491145127677805396181942960753902684094935594604232326732307160116368590081032538081886096078829429376519028931723538299874109939662154524268454025347050492286619064984104700571015556463494241842005048093431310783908219840123377769148110962362550262938605157635230874253289719282630424560374008853974330740503688869148781895203787086355015170725444597003223123856987812624705831321237900172090408301323380392987181735511167852675778916118145346522559961709746431443722165507253131994785378392006027527093770809685031464929654178754550412167663285450218200842794908024502363314057833482322212053561713304287033826949663160630013077188363205977126587524147660076874461501208455688646441231866132481624891327306795872555608522819761805806597219477502442446719557108576869991573120126570397553844317721097727375234122821083887885228758295223197390351723815739801774866590085786280577248445339780319383767152953480615752972641400978631712313764205602517638666047928131553357393014650819869362466714179394741042988107230572046131118165090186632237592308122326458695790279814628411385908544678751747085535234639931639748793630574380723134983642145416969768452627441760309275308748970426975943475820036138715887431096159225881290198651905737019689748938731127052211710174380534349103392452032678336552643162621931710687822430063381960392444821095572443062160255126202829093738761977640659065423969985819463488164451381390611838883866812634286951891820798381041123642794572463960947529456276183264087290271262227578329794683826872986220138905881392995468051011252407580852429476728495130267890964217950466201718540247309181791400554037491066670354198256806064684033264293224348509544992435568308308997551634927704229597181766611940629432915772100713724086883627625150236188594133141578656834027083812164463566325036765975196721264000715892509651879173182656169499847272638919649987186120803259402520893487558497030544088849624714993319472094369008519804882326309108047832038323915044468312526387582998670479202275370317240082820226297779151259646467139570104422542361009034997368719649461417606690366918269132211081509078434584659017169190102972155413620140351577846316084876642896111048135835153337191109847957437172589667321331319663228587399092195313737099711483584720056555891676314779675210692892558838185753645442311821861647531507468376604471773014861377627211654479236668369654972150954013339388892916337793639638111765579367090820570140510884255781257514678243854664363678158210738771602474234064221142370299111411652010362656108368714596396127882044735764341452944931410535611730896388863725861155402765291661172660466518414524553968999185808130806552205934830871597867888553133331812905821973751631603202908237564188450739418549685831555922088184336891563825780668338607413437537975603684393349990820862051207802950734784269837028387091034851112265053390032905149170796108630693951288656914798148943400552287371333513566813345864018698091079844931514010898825630560473728050718357886014946482944233561519506736449265164343450055554408632900002352748895610080138188725542376304819797045793016002671170273031791597433779548705124947567468681339155619506742049805844837717836088750818149785209517942302460698932869640311346127364653374795445140206452094674240525094087590745951343813843279587079038937521530145422385354085689921017718444702495908100181109505690803405655877610895831469409576533490797289317611479682477392635583101340049283}
23908 525790553846180195414585282159291364251906908857727771579924580281882725716969: {334586,477980,573576,621218,645273,692491,907706,1051292,1624316,1766306,2119891,2508765,2546707,2676016,2960252,2986625,3010518,3479618,3583950,3764666,3822880,3964747,4300740,4393736,4485116,4587456,4657965,4942953,4968496,5160888,5517897,5538536,5589558,5656891,5805999,6230853,6568925,6607226,6639187,6768572,6958652,7740218,7882710,8175667,8193241,8408224,8454091,9459252,9527721,9806012,10533091,10809067,10844066,11099085,11342525,11497747,11704630,11839024,11910091,12106653,12457052,13024316,13090466,13279891,13318902,13370618,13536008,13611030,13689427,14045556,14208005,14346812,14370547,14489786,14518432,14536221,14769218,14913116,15228009,15387765,15479132,15815816,16333236,16413616,16442786,16672891,16720900,16954856,17049606,17073485,17277626,17305025,17689893,17792793,18465318,18666146,18687091,18954427,19074213,19087987,19217765,19220546,19231208,20065080,20225513,20286787,20297150,20327618,20419627,20488182,20540877,20766030,21402752,21410493,21498716,21505256,21635109,21744067,22061372,22150432,22271827,22573215,22811132,23061318,23129061,23586187,23887000,23952165,23979091,24078096,24193413,24356580,24453425,24893347,24919236,24947285,25023667,25548976,25618172,25980352,26090565,26178716,26379665,26552252,26840587,26872875,26969827,27087858,27453950,27614947,27829936,27872491,28313576,28557218,28664400,28742598,28893590,29129397,29155891,29227896,29344110,29349692,29936742,30194285,30421846,30575360,30813547,31249757,31300384,31308678,31655598,31768316,31852773,32080387,32247450,32332891,32697116,32881383,32893346,32944740,33530217,33591091,33841867,33971618,34240826,34397280,34490705,34552316,34672308,34842091,35108252,35141056,35212932,35526057,35713507,36233142,36457627,36690432,37552229,37717917,38696940,39328418,39435621,39515721,39533688,39916925,40392866,40467452,41231227,41269501,41276736,41352187,41388846,42292925,42437587,42861116,43252741,43397491,43459780,43756267,44119016,44352787,44451526,44475399,44642510,45184891,45243656,45287565,45540427,45616316,46436328,46603147,47042525,47894107,47900310,47975829,48306736,48482637,49098533,49541685,49633893,49640467,49872091,50449891,50680507,50751510,50858216,50899113,51093664,51105116,51170618,51430466,51483124,51943747,52151736,52240869,52400947,52440193,52681497,52844464,53292572,53571012,53800726,53838716,54105187,54134944,54345078,54453021,54839733,55232347,55293692,55339496,55914765,56083106,56451030,56483518,56565116,56693949,57020827,57109532,57215493,57480372,57717425,57797491,58670703,58807505,58956430,59120707,59449891,59450022,59642416,60214432,60731612,60868867,60901812,61411387,61789630,62085400,62167891,62256933,62898716,62920867,63101765,63502180,63549926,63986618,64397085,64825025,64840891,65061212,65158627,65248418,65383017,65500346,66107947,66502376,67097718,67300597,67741236,67812693,68360397,68690224,69024091,69176765,69260910,69840694,69846075,70447292,70569006,70747716,70868947,71236837,71521052,71999493,72085891,72495866,72772316,72790987,73367853,73547320,73850686,73878304,74091091,74125797,74147556,74389387,74502480,74815173,74975685,75301737,75722118,75772867,75982652,76067491,76202616,76858180,77276502,77338085,77423546,77668418,77790030,77836925,77913146,78208267,78224041,78274077,78304747,78497491,78646466,78786067,78890618,79199565,79456891,79469312,79537532,79544836,79933891,79953005,79974064,80130201,80690740,80778716,81309885,81310172,81381425,81664316,82104907,82293626,82740735,82777466,82944067,82976032,83012118,83113092,83138696,83714213,83786492,83815290,84479536,84879427,85062091,85727943,86432732,86603107,86730544,87052387,87589147,88256784,88270900,88720316,88744942,89089805,89159253,89159721,89402976,89535091,89644925,89970822,90125372,90717400,90875229,90964761,91014907,91151426,91353116,91391885,91532227,92229816,92729227,92805702,92814187,93183425,93348036,93404310,93531033,94157576,94502972,94665091,94686266,95039478,95080891,95300169,95560413,95587492,95633285,95943606,96051885,96074012,96143710,96828888,97132891,97571862,97657710,97780027,97873917,98153565,98500875,98823950,99085893,99117218,99208316,99288882,99607497,99631264,99729692,99772420,99772627,...,20147334529941724626657440559091872232541031801306143116153761460159312541903382422294478941878787886456481470661339520261228189850293868368136530390699192271932191561880313640859882798249320178326872016418517715944022970912223964563319779195009070867241255689558510236614013180277632129459759037534840772654151569146051089476070531653574462427353900988617304715440654860170237073861575923947671870245459914126138976435643076213488491453441376717442514794771772572502025371908964717733165479919549539365691272033796067323048825419978806267428020741951325655789340064124575081045210959786831170358864147949816733683918140210180307832337719625710173899413832011805299107654004918492198375860271716115140020227633926129337630831809317083499607775094983866896120544401764507190649575647348223803567705221490860462030079948946328575258296220676337509326380504522674703369458361079580041953239538905006067216223551047266957601123726544032669817752077111309762949404748951072382711769266217547506684102917817607969502116698863546769165948668277940918195254975821509975499855103075727830074144697093015741075462959303336589928959409478102493322097493502093863405125756961463636500312163761445183846971677726964263187135631754319735699822120114381707436331260453040425845022870604640821003963521867971508949751685607470023518221397237508737809857352867759825816622285572526321390650809640762728174824220120248842983456410829768611594387039752837881847878059571668996114046979519908852998391507432507630846644856193889293024603503255680412367078331960569301257967760048184954516574794878967841720264869207649359586331918308169402948946899174045798804523269376904448736857550162575614250429906751175947189926428127429924082880340168270438791651682636854212087231959981092617984219268508520815785178489083512382602522427731174721498190392763285281263372608368244352116387028349636771106392911769163981626851874508523993957401348336543441136572635637993507023854618957267288268958053663078909055200738716654755560472264342408086245377685724299131346059989914091077745330068846570272306129575688815920839243887696134284965449178170166866981584792177522104875778702778416219284755100049021300262295018667621190012869172230910208225999796363518559533316248161071012536694524650077996040725451799499619991092629459158678026406509768412144063776051098553392624416701850110664893972269700493756320110426968397038868346195289519426805896723148012046663158292865948556808920489224358842948108678771246112878689558920137296207218160187135437128421446502190528148064181113537782921479797276582896786223095108426217638116532122927084982799615311446293408741188901753039566947590523411784247671527256415762482196708676624502139295697353148503502948872638982224492873296201272017785851857221783724852850815687439156121094093520681179007708343352904325139552484904210947651695469965645418961523160398815215536013816874811158286128528170509392981019121937259908547380815641195185151634481540537020388881563547288691219366071958665581077507742069607913107828797157184737511109083874429298335508804270544316752251267652558066247775407896117579115855418434374224451476551250050634138245857799987761149401610403934313045693116037849454713134816353404520043873532227728144840925268384875886397531924534069716495111351422417794485358264121439793242018681198434174080631637400957810514686595310592311415359342315265686885791266740739211510533336470331860813440184251634056501739759729394390688003561560364042388796578372731606833263423291575118874159342322733074459783623781451667757533046946023923069947598577159520415128169819537833060593520275269459565654033458783454327935125085124372782772051916695373527229847138780919894690291259603327877466908146007587737874207836814527775292546102044654396385756815306243303190180777468453399044}
23909 527639774245248842065687538817875610842663315113961859049659858958106802829939: {23909,501879,597475,716970,764768,860364,931827,1314115,1361559,1576938,2030395,2341514,2436474,2649459,2890327,3345020,3700315,3844519,4014024,4347434,4440378,4515777,4778600,4846219,4990711,5219427,5277259,5375925,5492170,5606395,5646999,5734320,6116608,6210620,6451110,6590604,6727674,6881184,6923170,7138027,7357196,7452744,7614211,7710979,7741332,8307804,8384337,8460715,8698315,8930746,9332779,9910839,10152858,10359146,10437978,10510280,10759507,11610327,11824065,11844007,12079738,12257515,12612336,12703628,13798594,13838839,14188878,14361914,14709018,14798780,14835499,15571315,15912619,16142204,16266099,16280395,16827307,16920010,17233418,17556945,17563447,17758536,17933515,18148040,18608887,18641395,18685578,18727408,18817099,19348915,19381628,19536474,19635699,19769770,19978353,20055927,20304012,20416545,20517020,20698711,20901125,21068334,21193570,21520218,21734679,21777648,22153827,22355354,22369674,22732808,22950434,23218698,23586524,23723724,23904499,24039010,24351194,24499854,24620424,24664179,24712747,24774379,25081350,25395667,25432284,25574409,25694227,25916439,26714551,26753440,26873395,26881570,27317576,27387836,27576715,27688040,27697977,27999219,28103546,28513915,28523011,28547324,28830819,28846812,29052427,29559379,29858750,30097620,30445725,30491427,30732273,30748424,30838748,31149045,31936220,31980859,32022715,32104128,32131831,32248074,32257884,32333239,32475440,32484379,32723395,33090499,33092058,33190315,33225648,34216698,34248247,34591977,34721767,34787420,35391970,35807827,35830500,36117144,36151627,36534870,36622099,36687115,36705079,37378854,37799138,38219200,38323464,38427258,38604139,38839196,38970528,39125480,39268074,39443767,39588199,39710395,39828378,39915656,39982027,40053187,40247491,40631787,40871395,41000707,41180925,41506634,41654539,41744904,42135811,42207464,42268394,42470364,42835827,42996600,43113897,43190395,43340385,43482538,43564951,43841844,43885315,43926320,44016165,44024538,44500939,44706956,44905113,45632769,45651091,45863040,45997939,46229744,46238906,46268659,46702711,46709059,46950576,46963017,47368076,47483397,47652474,47804986,48138199,48310856,48371175,48422059,48920576,49045674,49340019,49417110,50290556,50584315,50957427,51361239,51595920,51828474,51983779,52008462,52187114,52580828,52662378,52687628,52711584,52819398,52915747,53073259,53576395,54269827,54324725,54349713,54528091,54977527,55035648,55148770,55185128,55230986,55999306,56128339,56554570,57020395,57499066,58045410,58099978,58189579,58992627,59106487,59300532,59622211,60103946,60141019,60383420,60589299,60701178,60943147,61786027,61829059,61915104,62083269,62525227,63538778,63572770,63867080,63881395,63967772,64291674,64353905,64643516,64963306,65189670,65254754,65381347,65633851,66055580,66178524,66615715,66677289,66963765,67210771,67298395,67668680,67865484,68237467,68424474,69117115,69174370,69535648,69654492,69757579,69847219,69918211,69977306,70241996,70432087,70706395,71386915,71428016,71675227,71850465,72021826,72460104,72604028,72746359,73056019,73119644,73767619,73919594,74553020,75268040,75591932,75817514,75889226,75914515,75919159,76127265,76287324,76640496,76657674,76755927,77052571,77145699,77224686,77606750,77773258,77842666,77884459,78227604,78478634,78623395,79266696,79377725,79938858,80356518,80701089,80758074,80801227,81202416,81326515,81508618,81517617,81620059,81691426,82226947,82387879,82623619,82940538,83009244,83127970,84124659,84474739,84676545,84725277,84847674,85616611,85664298,85807447,85862780,86220558,87177356,87340627,87482299,88059115,88434645,89175033,89401315,89463624,89648426,89729179,89903827,90321648,90404611,90416924,90872218,90965395,91097418,91104679,91147196,91352718,91609994,91798426,91934150,91978999,92120059,92347880,92684445,92935339,92955511,93128100,93215018,94092008,94330288,94330939,94348074,94978315,94994647,95253270,95324889,95699971,95979927,95999324,96072725,96436567,97591818,97823804,97872627,98250519,98419147,98834396,98863408,99336640,99421915,99431045,99442459,99753564,99967580,...,30221001794912586939986160838637808348811547701959214674230642190238968812855073633441718412818181829684722205992009280391842284775440802552204795586048788407898287342820470461289824197373980267490308024627776573916034456368335946844979668792513606300861883534337765354921019770416448194189638556302261158981227353719076634214105797480361693641030851482925957073160982290255355610792363885921507805368189871189208464653464614320232737180162065076163772192157658858753038057863447076599748219879324309048536908050694100984573238129968209401142031112926988483684010096186862621567816439680246755538296221924725100525877210315270461748506579438565260849120748017707948661481007377738297563790407574172710030341450889194006446247713975625249411662642475800344180816602646760785974363471022335705351557832236290693045119923419492862887444331014506263989570756784012055054187541619370062929859308357509100824335326570900436401685589816049004726628115666964644424107123426608574067653899326321260026154376726411954253175048295320153748923002416911377292882463732264963249782654613591745111217045639523611613194438955004884893439114217153739983146240253140795107688635442195454750468245642167775770457516590446394780703447631479603549733180171572561154496890679560638767534305906961231505945282801957263424627528411205035277332095856263106714786029301639738724933428358789482085976214461144092262236330180373264475184616244652917391580559629256822771817089357503494171070469279863279497587261148761446269967284290833939536905254883520618550617497940853951886951640072277431774862192318451762580397303811474039379497877462254104423420348761068698206784904065356673105286325243863421375644860126763920784889642191144886124320510252405658187477523955281318130847939971638926976328902762781223677767733625268573903783641596762082247285589144927921895058912552366528174580542524455156659589367653745972440277811762785990936102022504815161704858953456990260535781928435900932403437080494618363582801108074982133340708396513612129368066528586448697019089984871136616617995103269855408459194363533223881258865831544201427448173767255250300472377188266283157313668054167624328927132650073531950393442528001431785019303758346365312338999694545277839299974372241606518805041786975116994061088177699249429986638944188738017039609764652618216095664076647830088936625052775165997340958404550740634480165640452595558302519292934279140208845084722018069994737439298922835213380733836538264422163018156869169318034338380205944310827240280703155692632169753285792222096271670306674382219695914874345179334642662639326457174798184390627474199422967169440113111783352629559350421385785117676371507290884623643723295063014936753208943546029722755254423308958473336739309944301908026678777785832675587279276223531158734181641140281021768511562515029356487709328727356316421477543204948468128442284740598222823304020725312216737429192792255764089471528682905889862821071223461792777727451722310805530583322345320933036829049107937998371616261613104411869661743195735777106266663625811643947503263206405816475128376901478837099371663111844176368673783127651561336677214826875075951207368786699981641724102415605901469568539674056774182069702224530106780065810298341592217261387902577313829596297886801104574742667027133626691728037396182159689863028021797651261120947456101436715772029892965888467123039013472898530328686900111108817265800004705497791220160276377451084752609639594091586032005342340546063583194867559097410249895134937362678311239013484099611689675435672177501636299570419035884604921397865739280622692254729306749590890280412904189348481050188175181491902687627686559174158077875043060290844770708171379842035436889404991816200362219011381606811311755221791662938819153066981594578635222959364954785271166202680098566}
23910 529495456300127008832401580741495311841741653648734614239094660628142823804701: {262889,406181,549401,669172,740249,883301,955960,978629,1075455,1147152,1242436,1264421,1290546,1384982,1815412,1882649,1977641,2102584,2309861,2365407,2594309,3248632,3256901,3512271,3532612,3540389,3654711,3729221,3870761,3965081,4181275,4239782,4530329,5017530,5093414,5282201,5352032,5516741,5657369,5704229,5920504,5973250,6021036,6521151,6546341,6639749,6660567,6686441,6959236,7167900,7246121,7339289,7478981,7529332,7645760,7763275,7929494,8176361,8222789,8238255,8315621,8601480,8779301,8787472,8918249,8970232,9174912,9196495,9315930,9427109,9676665,9885906,9936992,10091511,10321776,10384755,10855961,11035794,11077072,11179116,11223449,11313782,11611998,12461706,12642629,13137850,13214452,13278374,13326569,13396119,13463141,13537144,13917304,13963289,14281061,14371781,14417129,14689049,14915429,15229287,15322409,15480436,15538719,15656967,15765420,15864041,15879535,16269509,16351334,16386482,16449509,16816448,16908182,17213081,17392409,18119607,18498475,18733289,18918504,19000601,19055442,19134149,19356569,19612024,19667621,19756421,19891207,20177755,20288549,20332841,20697891,20863721,21066182,21283317,21525701,21542871,21618134,21688132,21745961,22063527,22185881,22198170,22685050,22995494,23107109,23409260,23631941,23678048,23762969,23820182,23902879,23981189,24024809,24213306,24227035,24914104,24938981,25156121,25380015,25589801,25646275,25850127,26048632,26180932,26559782,26627369,26637804,26741236,26904871,27072016,27101381,27222060,27273509,27378854,27531461,27917849,28028367,28091112,28416010,28517609,28693624,28741094,28979572,29036864,29072442,29158469,29201129,29304711,29329061,29483155,29538436,29654655,29826232,30456018,30689189,30775530,30816281,30958264,31492889,31602501,31631632,31703909,31790355,32083241,32125349,32280327,32666472,32827232,32885572,33345782,33441800,33533031,33554511,33909712,34099212,34146970,34234795,34425651,34512281,34555252,34610050,34828047,34926199,35011481,35379786,35585586,35684155,35840921,36058515,36089129,36254441,36460901,36526791,36749781,36930636,36931531,36996761,37332292,37374182,37622025,37908854,38148426,38175974,38187269,38435530,38441092,38462416,38548435,38841221,39330341,39533801,39818309,39920275,40130160,40322355,40426649,40451026,40573574,40594300,40655236,40750361,40839254,40976364,41081754,41234969,41275301,41396249,41532060,41959721,42080261,42155319,42271999,42481541,42801989,42805504,42820986,42997432,43010512,43270218,43281701,43484275,43488134,43800089,44122744,44158181,44300864,44379907,44396549,44543654,44594969,44788125,45146430,45189029,45584069,45622264,46017689,46122636,46258122,46528901,46646681,46842821,47172374,47774000,47904330,47958182,48156192,48286987,48372111,48386826,48482501,48548995,48713160,48906850,49567781,49638087,49645061,49786694,49838472,49876709,49894570,49915289,50047334,50339141,50493029,50608361,50685209,51097952,51236344,51260549,51325047,51413669,51490181,51834089,51948581,51960704,52063001,52181130,52357432,52759330,53087955,53089541,53104504,53581721,53681174,53745750,53939654,54110249,54175716,54802305,54874831,54907900,55229894,55237529,55274981,55659872,55744982,55883695,56022341,56068281,56580761,56627152,56698707,56952041,57063269,57114436,57248489,57328800,57485196,57618329,57640887,57787180,57839849,58024229,58025539,58245221,58258794,58311782,58455792,58502681,58688220,58699384,58902111,58906469,59162921,59210095,59742567,59873484,59893481,60039209,60388570,60548249,60693401,60843692,60874661,61091909,61150720,61417241,61627094,62065961,62209769,62259951,62499514,62600768,62617356,62863195,62926889,63141401,63311196,63391301,63402591,63536632,63705546,63818789,64160774,64494900,64665782,64882469,65164901,65223807,65394232,65622761,65693081,65726035,65762766,65786692,65859535,65889480,66036807,66114329,66324521,66569381,66778949,67060434,67182182,67510169,67683734,67943236,67995689,68481652,68794560,68824361,68981410,69030809,69065189,69104632,69344616,69358359,69545669,69684182,70216504,70282112,70297541,70425864,70875881,70909829,71052114,71418089,71427014,71478711,71620889,71707479,71722181,72126629,72395621,72466284,72831641,72915254,73333061,73380864,73499801,73568511,74125665,74396741,74628329,74925509,75104458,75222041,75320741,75435834,75479275,75780389,75878681,76303781,76369061,76466921,76760069,77182361,77393880,77441561,77732549,77742711,77861669,78012693,78280671,78312581,78344729,78537449,78656836,78793961,78871242,78993567,79031442,79067376,79229097,79833850,79941929,79959715,79973669,80417189,80543621,80785732,80804395,80934904,81079529,81738341,82113221,82144409,82330507,82462454,82539002,82553472,82569475,82704374,82723155,82777692,82797509,82846479,82952489,83230949,83998959,84585850,84735641,84831855,84875174,84918569,85192421,85722232,85979909,86160869,86248599,86461829,86505482,86551961,86791961,86794982,86919560,87061349,87068115,87091241,87149967,87240581,87449321,87512534,87627929,87687401,87802495,88238032,88342471,88693529,88705574,88903052,88950798,89134469,89285020,89368901,89456681,89487607,89573609,89894501,89981849,90155919,90156329,90330521,90369782,90487312,90575130,90706949,90755035,91051767,91080854,91232632,91399555,91570469,92170649,92872656,93191275,93206294,93275909,93585449,93669701,93866009,94085050,94452581,94489915,94536089,94702889,95256809,95308167,95359155,95788214,95800620,95951658,96026921,96109061,96437511,96613472,96654821,96845081,96847471,96965274,97007849,97251461,97413509,97444959,97709849,97784505,97882131,98197066,98272901,98934979,98938601,99083370,99267786,99280934,99744182,99783401,99862181,...,45331502692368880409979241257956712523217321552938822011345963285358453219282610450162577619227272744527083308988013920587763427163161203828307193379073182611847431014230705691934736296060970401235462036941664860874051684552503920267469503188770409451292825301506648032381529655624672291284457834453391738471841030578614951321158696220542540461546277224388935609741473435383033416188545828882261708052284806783812696980196921480349105770243097614245658288236488288129557086795170614899622329818986463572805362076041151476859857194952314101713046669390482725526015144280293932351724659520370133307444332887087650788815815472905692622759869157847891273681122026561922992221511066607446345685611361259065045512176333791009669371570963437874117493963713700516271224903970141178961545206533503558027336748354436039567679885129239294331166496521759395984356135176018082581281312429055094394788962536263651236502989856350654602528384724073507089942173500446966636160685139912861101480848989481890039231565089617931379762572442980230623384503625367065939323695598397444874673981920387617666825568459285417419791658432507327340158671325730609974719360379711192661532953163293182125702368463251663655686274885669592171055171447219405324599770257358841731745336019340958151301458860441847258917924202935895136941292616807552915998143784394660072179043952459608087400142538184223128964321691716138393354495270559896712776924366979376087370839443885234157725634036255241256605703919794919246380891723142169404950926436250909305357882325280927825926246911280927830427460108416147662293288477677643870595955717211059069246816193381156635130523141603047310177356098035009657929487865795132063467290190145881177334463286717329186480765378608487281216285932921977196271909957458390464493354144171835516651600437902860855675462395143123370928383717391882842588368828549792261870813786682734989384051480618958660416717644178986404153033757222742557288430185485390803672892653851398605155620741927545374201662112473200011062594770418194052099792879673045528634977306704924926992654904783112688791545299835821888298747316302141172260650882875450708565782399424735970502081251436493390698975110297925590163792002147677528955637519547968508499541817916758949961558362409778207562680462675491091632266548874144979958416283107025559414646978927324143496114971745133404937579162748996011437606826110951720248460678893337453778939401418710313267627083027104992106158948384252820071100754807396633244527235303753977051507570308916466240860421054733538948254629928688333144407505460011573329543872311517769001963993958989685762197276585941211299134450754160169667675028944339025632078677676514557260936326935465584942594522405129813415319044584132881634963437710005108964916452862040018166678749013380918914335296738101272461710421532652767343772544034731563993091034474632216314807422702192663427110897334234956031087968325106143789188383646134207293024358834794231606835192689166591177583466208295874983517981399555243573661906997557424392419656617804492614793603665659399995438717465921254894809608724712692565352218255649057494667766264553010674691477342005015822240312613926811053180049972462586153623408852204352809511085161273104553336795160170098715447512388325892081853865970744394446830201656862114000540700440037592056094273239534794542032696476891681421184152155073658044839448832700684558520209347795493030350166663225898700007058246686830240414566176627128914459391137379048008013510819095374792301338646115374842702406044017466858520226149417534513153508266252454449355628553826907382096798608920934038382093960124386335420619356284022721575282262772237854031441529838761237116812564590436267156062257069763053155334107487724300543328517072410216967632832687494408228729600472391867952834439047432177906749304020147849}
23911 531357622443211660173710135015188565766960834455587281246546511326627534178362: {23911,47818,836465,1003758,1194950,1433940,1529536,1553045,1720728,1839761,1863654,1935819,2077473,2269265,2628230,2723118,2842553,3153876,3415841,4060790,4415765,4683028,4872948,5180441,5298918,5780654,5898113,6359673,6690040,7400630,7526295,7640121,7689038,7848953,8028048,8139329,8618153,8694868,8699045,8880756,8959875,8998613,9031554,9411665,9557200,9692438,9981422,10430753,10438854,10554518,10751850,10984340,11212790,11284361,11293998,11468640,11845001,11894241,12177641,12233216,12421240,12715781,12902220,13181208,13455348,13762368,13846340,13973895,14276054,14714392,14828859,14905488,15006053,15228422,15421958,15482664,16518065,16553691,16615608,16768674,16921430,16970673,17010041,17160521,17396630,17417997,17564921,17861492,18665558,18692559,19133081,19350545,19706775,19821678,19917561,20305716,20718292,20756801,20875956,21020560,21519014,21799841,21992321,22792553,23220654,23648130,23688014,24159476,24462113,24515030,24527001,24579723,24714821,25106921,25224672,25362273,25407256,26097953,26716793,27088481,27110165,27138953,27597188,27620129,27677678,28377756,28583163,28723828,29261575,29418036,29597560,29670998,30013061,31142630,31599273,31825238,32284408,32427201,32532198,32560790,32726165,33036953,33210881,33297255,33426545,33429281,33654614,33709013,33840020,34027575,34466836,34493241,34724681,35113890,35126894,35517072,35730273,35743313,35867030,36154661,36224465,36296080,36319959,36330569,36923045,37217774,37282790,37371156,37454816,37622753,37634198,37915121,38607401,38697830,38763256,39072948,39147761,39271398,39539540,39839673,39919481,39956706,40111854,40475201,40608024,40833090,41004161,41034040,41068281,41106965,41397422,41435153,41802250,42007001,42136668,42318341,42387140,42624015,43040436,43111641,43194065,43469358,43555296,43608663,44307654,44710708,44739348,44831801,45041729,45465616,45684027,45812753,45900868,46163295,46437396,46466441,46555073,46615361,46665365,47173048,47224529,47447448,47808998,48051365,48078020,48455381,48702388,48999708,49240848,49328358,49425494,49459601,49548758,50018673,50162700,50742875,50791334,50819045,50864568,51148818,51220455,51312953,51361961,51388454,51832878,51915075,53069679,53378379,53429102,53506880,53745941,53746790,53763140,54635152,54775672,54982169,55153430,55194113,55376080,55395954,55594553,55998438,56061273,56207092,56863281,57027830,57046022,57094648,57219953,57222639,57263961,57653295,57661638,57693624,58079681,58104854,58288649,59118758,59141129,59627249,59717500,60195240,60466553,60676539,60860361,60891450,60948281,60982854,61258881,61439441,61464546,61496848,61622631,61677496,62298090,62731673,63872440,63961718,64045430,64208256,64231479,64263662,64286501,64496148,64515768,64666478,64905327,64950880,64968758,64973441,65232201,65446790,66180998,66184116,66380630,66451296,66815481,67216433,67719645,68112929,68433396,68496494,68570681,68634875,69183954,69387183,69405881,69443534,69574840,69853121,70438049,70462613,70758561,70783940,70818041,71393045,71615654,71661000,71856495,71937273,71979281,72233975,72234288,72303254,72580239,73069740,73244198,73360275,73374230,73410158,74680041,74757708,74841855,75006953,75071001,75146453,75598276,76054615,76438400,76646928,76854516,77208278,77678392,77941056,77964353,78250960,78271695,78536148,78855041,78887534,79138995,79176398,79420790,79656756,79673561,79828553,79831312,79964054,80106374,80494982,80521761,80618625,80811233,80909481,81263574,81742790,82001414,82233365,82361850,82630613,82844841,83013268,83237921,83255801,83309078,83489808,83617473,84271622,84414928,84536788,84929045,84940728,85602065,85671654,85993200,86227794,86380790,86680770,86965076,87129902,87348041,87388191,87467673,87683688,87770630,87852640,88032330,88049076,88518869,88839701,89001878,89413912,89433953,89736761,89810226,90095467,90582855,91265538,91302182,91726080,91995878,92440641,92459488,92477812,92537318,93262001,93405422,93418118,93515561,93749271,93901152,93926034,94093553,94217753,94545221,94736152,94966794,95304948,95558319,95609972,95708033,96241161,96276398,96621712,96742350,96763961,96844118,96998673,97177301,97841152,98091348,98321045,98644149,98680038,98834220,98988953,99344741,99941681,...,60442003589825173879972321677275616697623095403918429348461284380477937625710147266883436825636363659369444411984018560783684569550881605104409591172097576815796574685640940922579648394747960534980616049255553147832068912736671893689959337585027212601723767068675530709842039540832896388379277112604522317962454707438153268428211594960723387282061702965851914146321964580510711221584727771843015610736379742378416929306929228640465474360324130152327544384315317717506076115726894153199496439758648618097073816101388201969146476259936418802284062225853976967368020192373725243135632879360493511076592443849450201051754420630540923497013158877130521698241496035415897322962014755476595127580815148345420060682901778388012892495427951250498823325284951600688361633205293521571948726942044671410703115664472581386090239846838985725774888662029012527979141513568024110108375083238740125859718616715018201648670653141800872803371179632098009453256231333929288848214246853217148135307798652642520052308753452823908506350096590640307497846004833822754585764927464529926499565309227183490222434091279047223226388877910009769786878228434307479966292480506281590215377270884390909500936491284335551540915033180892789561406895262959207099466360343145122308993781359121277535068611813922463011890565603914526849255056822410070554664191712526213429572058603279477449866856717578964171952428922288184524472660360746528950369232489305834783161119258513645543634178715006988342140938559726558995174522297522892539934568581667879073810509767041237101234995881707903773903280144554863549724384636903525160794607622948078758995754924508208846840697522137396413569808130713346210572650487726842751289720253527841569779284382289772248641020504811316374955047910562636261695879943277853952657805525562447355535467250537147807567283193524164494571178289855843790117825104733056349161085048910313319178735307491944880555623525571981872204045009630323409717906913980521071563856871801864806874160989236727165602216149964266681416793027224258736133057172897394038179969742273233235990206539710816918388727066447762517731663088402854896347534510500600944754376532566314627336108335248657854265300147063900786885056002863570038607516692730624677999389090555678599948744483213037610083573950233988122176355398498859973277888377476034079219529305236432191328153295660177873250105550331994681916809101481268960331280905191116605038585868558280417690169444036139989474878597845670426761467673076528844326036313738338636068676760411888621654480561406311385264339506571584444192543340613348764439391829748690358669285325278652914349596368781254948398845934338880226223566705259118700842771570235352743014581769247287446590126029873506417887092059445510508846617916946673478619888603816053357555571665351174558552447062317468363282280562043537023125030058712975418657454712632842955086409896936256884569481196445646608041450624433474858385584511528178943057365811779725642142446923585555454903444621611061166644690641866073658098215875996743232523226208823739323486391471554212533327251623287895006526412811632950256753802957674198743326223688352737347566255303122673354429653750151902414737573399963283448204831211802939137079348113548364139404449060213560131620596683184434522775805154627659192595773602209149485334054267253383456074792364319379726056043595302522241894912202873431544059785931776934246078026945797060657373800222217634531600009410995582440320552754902169505219279188183172064010684681092127166389735118194820499790269874725356622478026968199223379350871344355003272599140838071769209842795731478561245384509458613499181780560825808378696962100376350362983805375255373118348316155750086120581689541416342759684070873778809983632400724438022763213622623510443583325877638306133963189157270445918729909570542332405360197132}
23912 533226295184271404066777761299906445705972968013347750068251211372010340221725: {71727,310687,453967,525778,812362,1026367,1098802,1338344,1480498,1505637,1766602,1792425,1882807,1911920,1957258,2150910,2294304,2484872,2528842,2581092,2769964,2795481,3304447,3587911,3630824,3765298,3942345,3955282,4084677,4205168,4577767,4619722,4730814,5188618,5282647,5704711,5853785,6091185,6497264,6513802,6687007,7024542,7065224,7080778,7309422,7386487,7458442,7741522,7805311,7930162,7948377,8223487,8362550,8479564,8670981,8780047,9060658,10035060,10186828,10304647,10564402,10704064,10868585,11033482,11100945,11314738,11408458,11533557,11841008,11946500,12042072,12643711,12875093,13042302,13092682,13279498,13321134,13372882,13547331,13730425,13918472,14009911,14335800,14418367,14492242,14538657,14678578,14957962,14961967,14972133,15058664,15291520,15368911,15526550,15658281,15831777,15858988,16127775,16352722,16445578,16450927,16476510,16631242,16819185,16940997,17124847,17202960,17307925,17558602,17574944,17796967,17836498,17940464,18349824,18392990,18631860,18854218,19353330,19669327,19771812,19802527,19873984,20183022,20334607,20643552,20769510,21130567,21414081,21711922,22071588,22154144,22231349,22326865,22358232,22446898,22627564,22714711,22842633,23132937,23223996,24026911,24923412,25153011,25285258,25382145,25722007,25897865,26094945,26275700,26428904,26556748,26629711,26653138,26792238,26926282,27074288,27533887,27834608,27926578,27998337,28248857,28562122,28743562,28834258,29203711,29378098,29732517,29830858,30199345,30458574,30644818,30960872,31077438,31115311,31313934,31530840,31728082,31759070,31782949,32128207,32278521,32539018,32702668,32758927,32772964,32899018,33010711,33632896,33816364,33917849,34265311,34426162,34496485,34515367,34784818,34830981,35472195,35532021,35885527,35904785,36133711,36239214,36772545,36996950,37466578,37837008,38001202,38110884,38231647,38268298,38599711,38713138,38844727,38967127,39224048,39335242,39456007,39512842,39578047,39782414,39821911,40355510,40577098,40665682,41036911,41276417,41279047,41395782,41516517,41727442,42132364,42300025,42566634,42845911,43051402,43083545,43085742,43236268,43376264,43491922,44127054,44371762,44396340,44506497,44876527,45370100,45990988,46061287,46214218,46713945,46818520,47003911,47263882,47356096,47525938,47640364,47737857,47805758,47928713,47962378,48049618,48426612,48454070,48525847,48758911,48798297,48841185,49106761,49424425,49828208,49877962,49919911,49957817,50312242,50481921,50760030,51179602,51292550,51303607,51418447,51700254,52097264,52361864,52448981,52670835,52690341,52983925,53119564,53254738,53275608,53482472,53800545,53809742,53926711,53967809,54144032,54202762,54444120,54547018,54757708,55062922,55280167,55826661,55835698,55888385,55924185,56056734,56182224,56451297,56832020,57035218,57376085,57387248,57482188,57623767,57959144,58046745,58073728,58144884,58177087,58316938,58402258,58609422,58658122,58907097,58948711,58966310,59076872,59309310,59652464,59935059,60044911,60097525,60167781,60877985,60912036,61249635,61378378,61551060,61632562,61891927,61916528,62096133,62703375,62985778,63205002,63263264,63407818,63580710,64166482,64250698,64560654,64852073,65204037,65332944,65629087,65654464,65734567,65771144,65945311,66461481,66691564,66883600,67066062,67109022,67203925,67516711,67819424,67968593,68036911,68198424,68244487,68293940,68348167,68469590,68575637,68851302,69024562,69071911,69110504,69220100,69586711,69656094,69852398,70022962,70258865,70304407,70759572,70916767,71171172,71368310,71681842,71713497,72117030,72178258,72436327,72508882,72637711,72921802,73053582,73499562,73839967,73861272,73863062,73992537,73993522,74138241,74323137,74646875,74664584,74748364,75244050,75426847,75817708,75918967,76187001,76296852,76351948,76374538,76723227,76800247,76871060,76882184,76924832,77082681,77096870,77682442,77749317,77869447,78237173,78352567,78660682,79067602,79636618,79840550,79981711,80143653,80260320,80456911,80620185,80644710,80853298,80902052,81119167,81147148,81188600,81213487,81310472,81401911,81500722,81678508,81952728,82059127,82152727,82163508,82469938,82550602,82730145,82792498,82894133,83064120,83093931,83270311,83919442,83997657,84160522,84310638,84543998,84963082,85541745,85569033,85603978,85611008,85641972,85994864,86021024,86199847,86470711,86492457,86540436,86563402,86968550,86976268,87100207,87157281,87600178,88008473,88245488,88316362,88479925,88601728,88678137,88759814,88793098,88879327,89087308,89189938,89407447,89576250,89758087,90292860,90378058,90716407,91168138,91244528,91337175,91474281,92016449,92035378,92180311,92196819,92203349,92245272,92516244,92606911,93057802,93201127,93293362,93447135,93623407,93685642,94344748,94462567,94497845,94546087,95548000,95808660,95916364,95942577,96068145,96201367,96312384,96395493,96573974,96744222,96773652,96965002,96999717,97097990,97426320,97453137,97747207,97813700,98170185,99135562,99271497,99276174,99290122,99570945,99573388,99676944,99753418,99789140,99830578,...,90663005384737760819958482515913425046434643105877644022691926570716906438565220900325155238454545489054166617976027841175526854326322407656614386758146365223694862028461411383869472592121940802470924073883329721748103369105007840534939006377540818902585650603013296064763059311249344582568915668906783476943682061157229902642317392441085080923092554448777871219482946870766066832377091657764523416104569613567625393960393842960698211540486195228491316576472976576259114173590341229799244659637972927145610724152082302953719714389904628203426093338780965451052030288560587864703449319040740266614888665774175301577631630945811385245519738315695782547362244053123845984443022133214892691371222722518130091024352667582019338743141926875748234987927427401032542449807940282357923090413067007116054673496708872079135359770258478588662332993043518791968712270352036165162562624858110188789577925072527302473005979712701309205056769448147014179884347000893933272321370279825722202961697978963780078463130179235862759525144885960461246769007250734131878647391196794889749347963840775235333651136918570834839583316865014654680317342651461219949438720759422385323065906326586364251404736926503327311372549771339184342110342894438810649199540514717683463490672038681916302602917720883694517835848405871790273882585233615105831996287568789320144358087904919216174800285076368446257928643383432276786708990541119793425553848733958752174741678887770468315451268072510482513211407839589838492761783446284338809901852872501818610715764650561855651852493822561855660854920216832295324586576955355287741191911434422118138493632386762313270261046283206094620354712196070019315858975731590264126934580380291762354668926573434658372961530757216974562432571865843954392543819914916780928986708288343671033303200875805721711350924790286246741856767434783765685176737657099584523741627573365469978768102961237917320833435288357972808306067514445485114576860370970781607345785307702797210311241483855090748403324224946400022125189540836388104199585759346091057269954613409849853985309809566225377583090599671643776597494632604282344521301765750901417131564798849471941004162502872986781397950220595851180327584004295355057911275039095937016999083635833517899923116724819556415125360925350982183264533097748289959916832566214051118829293957854648286992229943490266809875158325497992022875213652221903440496921357786674907557878802837420626535254166054209984212317896768505640142201509614793266489054470607507954103015140617832932481720842109467077896509259857376666288815010920023146659087744623035538003927987917979371524394553171882422598268901508320339335350057888678051264157355353029114521872653870931169885189044810259626830638089168265763269926875420010217929832905724080036333357498026761837828670593476202544923420843065305534687545088069463127986182068949264432629614845404385326854221794668469912062175936650212287578376767292268414586048717669588463213670385378333182355166932416591749967035962799110487147323813995114848784839313235608985229587207331318799990877434931842509789619217449425385130704436511298114989335532529106021349382954684010031644480625227853622106360099944925172307246817704408705619022170322546209106673590320340197430895024776651784163707731941488788893660403313724228001081400880075184112188546479069589084065392953783362842368304310147316089678897665401369117040418695590986060700333326451797400014116493373660480829132353254257828918782274758096016027021638190749584602677292230749685404812088034933717040452298835069026307016532504908898711257107653814764193597217841868076764187920248772670841238712568045443150564525544475708062883059677522474233625129180872534312124514139526106310668214975448601086657034144820433935265665374988816457459200944783735905668878094864355813498608040295698}
23913 535101497110711622638210784606644144897870590526016767604736711260115361926739: {47822,95636,788667,1171051,1218543,1648203,1672930,2007516,2174263,2220747,2389900,2649903,2867880,2935887,3059072,3106090,3176971,3226365,3441456,3462455,3679522,3727308,3793263,3871638,4036903,4154946,4538530,5256460,5446236,5647947,5685106,5932923,6041387,6182071,6307752,6831682,6901031,6929583,7096221,7615487,7782927,8121580,8831530,9334343,9366056,9619207,9745896,9770703,10360882,10536813,10597836,10599455,10621167,10964133,11187663,11561308,11612283,11796226,11895243,12178663,12543825,12719346,12733535,13176331,13336063,13380080,13590987,14801260,14933125,15052590,15280242,15378076,15697906,15846603,16056096,16278658,16550223,16771471,16972107,17112687,17236306,17389736,17398090,17761512,17919750,17997226,18063108,18612011,18823330,19114400,19384876,19563453,19639023,19823735,19919247,19962844,19981701,20059323,20758543,20861506,20877708,21109036,21503700,21738363,21746747,21968680,22017867,22425580,22436943,22568722,22587996,22611823,22937280,23125291,23289825,23312927,23690002,23788482,24355282,24466432,24529083,24668367,24714765,24842480,24946863,25431562,25804440,26337903,26362416,26442911,26754747,26910696,27090763,27524736,27589485,27622447,27692680,27947790,28281327,28284455,28552108,29029995,29428784,29569727,29657718,29810976,30012106,30274533,30331771,30456844,30843916,30965328,31154265,32338667,32567883,32844625,33036130,33107382,33195935,33231216,33537348,33600143,33670347,33842860,33941346,34020082,34321042,34793260,34835994,35129842,35722984,36628247,37331116,37385118,37918303,37927887,37954231,38266162,38701090,38896427,38931167,39249223,39413550,39643356,39835122,39979707,40059911,40188357,40389423,40611432,40878335,40966205,41436584,41513602,41751912,41889867,42041120,42270455,42843183,42936127,43038028,43115343,43251387,43272191,43599682,43984642,44056123,44067147,44746287,45585106,45687861,45816631,45967227,46441308,46616157,46797163,46970901,47296260,47376028,47592123,47638605,48318952,48459463,48720647,48808527,48924226,49030060,49030967,49054002,49159446,49348527,49429642,50213842,50449344,50714251,50724546,50814512,51639243,51692263,51758687,52177227,52195906,52616171,52665455,53433586,54045335,54176962,54220330,54277906,54358821,55194376,55240258,55261847,55355356,55495425,55810807,56199867,56712625,56755512,57001803,57166326,57289007,57349771,57402447,57447656,57488735,57549751,57603647,58069707,58523150,58836072,59002863,59195120,59269263,59318183,59341996,59550455,59673621,60026122,60151151,60471691,60533265,60663647,60865647,60998523,62093673,62210027,62285260,62591163,63198546,63650476,63849951,64568816,64577103,64628613,64854402,64978927,65064396,65121580,65237883,65331511,65452330,66073906,66190581,66399455,66421762,66557643,66594510,66853090,66858562,67271911,67309228,67418026,67680040,68055150,68118667,68447135,68639623,68933672,68986482,69284711,69321327,69449362,69930047,70227780,70253788,70468567,70895823,71034144,71040025,71146663,71288907,71460546,71486626,71708637,71734060,71852735,71943567,72074427,72309322,72448930,72592160,72639918,72661138,72681105,73846090,74425727,74435548,74565580,74742312,74816943,74845703,74909632,75245506,75268396,75468363,75830242,76091807,76140045,76769403,76938825,77214802,77395660,77526512,77550381,78145896,78295522,78542796,79079080,79679346,79838962,79882107,79913412,80223708,80328967,80714613,80950402,80953967,81216048,81304143,81360407,81666180,81820527,82008322,82068080,82136562,82213930,82594383,82794844,82870306,83244967,83364455,83604500,83753547,84014002,84085101,84273336,84636682,84774280,85066423,85248030,85367425,85552827,86080872,86223282,86388130,86525125,86938716,87110592,87217326,87475407,87603387,87914133,87987183,88449465,88615308,88963965,89421416,89478696,89518007,89663602,90083458,90237647,90598903,90931232,91338671,91368054,91440767,91625506,91801736,92067567,92326590,92448843,92874792,92932882,93110146,93230722,93330730,93435455,93729143,94159663,94346096,94346831,94449058,94478667,94772135,94807503,94894896,95111727,95371065,95439935,95617996,95852311,96088825,96102730,96156040,96249723,96376047,96840981,96910762,97404776,97999416,98481696,98656716,98850988,98919202,99097516,99157183,99950263,...,135994508077106641229937723773870137569651964658816466034037889856075359657847831350487732857681818233581249926964041761763290281489483611484921580137219547835542293042692117075804208888182911203706386110824994582622155053657511760802408509566311228353878475904519944097144588966874016873853373503360175215415523091735844853963476088661627621384638831673166806829224420306149100248565637486646785124156854420351438090940590764441047317310729292842736974864709464864388671260385511844698866989456959390718416086228123454430579571584856942305139140008171448176578045432840881797055173978561110399922332998661262952366447446418717077868279607473543673821043366079685768976664533199822339037056834083777195136536529001373029008114712890313622352481891141101548813674711910423536884635619600510674082010245063308118703039655387717882993499489565278187953068405528054247743843937287165283184366887608790953709508969569051963807585154172220521269826520501340899908482055419738583304442546968445670117694695268853794139287717328940691870153510876101197817971086795192334624021945761162853000476705377856252259374975297521982020476013977191829924158081139133577984598859489879546377107105389754990967058824657008776513165514341658215973799310772076525195236008058022874453904376581325541776753772608807685410823877850422658747994431353183980216537131857378824262200427614552669386892965075148415180063485811679690138330773100938128262112518331655702473176902108765723769817111759384757739142675169426508214852779308752727916073646975842783477778740733842783491282380325248442986879865433032931611787867151633177207740448580143469905391569424809141930532068294105028973788463597385396190401870570437643532003389860151987559442296135825461843648857798765931588815729872375171393480062432515506549954801313708582567026387185429370112785151152175648527765106485649376785612441360048204968152154441856875981250152932536959212459101271668227671865290556456172411018677961554195815466862225782636122604986337419600033187784311254582156299378639019136585904931920114774780977964714349338066374635899507465664896241948906423516781952648626352125697347198274207911506243754309480172096925330893776770491376006443032586866912558643905525498625453750276849884675087229334622688041388026473274896799646622434939875248849321076678243940936781972430488344915235400214812737488246988034312820478332855160745382036680012361336818204256130939802881249081314976318476845152758460213302264422189899733581705911261931154522710926749398722581263164200616844763889786064999433222516380034719988631616934553307005891981876969057286591829757823633897403352262480509003025086833017076896236033029543671782808980806396754827783567215389440245957133752398644904890313130015326894749358586120054500036247040142756743005890214303817385131264597958302031317632104194691979273103423896648944422268106577990281332692002704868093263904975318431367565150938402621879073076504382694820505578067499773532750398624887624950553944198665730720985720992672273177258969853413477844380810996978199986316152397763764684428826174138077696056654766947172484003298793659032024074432026015047466720937841780433159540149917387758460870226556613058428533255483819313660010385480510296146342537164977676245561597912233183340490604970586342001622101320112776168282819718604383626098089430675044263552456465220974134518346498102053675560628043386479091050499989677696100021174740060490721243698529881386743378173412137144024040532457286124376904015938346124528107218132052400575560678448252603539460524798757363348066885661480722146290395826762802115146281880373159006261858068852068164725846788316713562094324589516283711350437693771308801468186771209289159466002322463172901629985551217230650902898498062483224686188801417175603858503317142296533720247912060443547}
23914 536983250887840505421018924389520472686660836731777633246382273804634903196964: {71733,119545,143454,621374,907934,978793,1051556,1624724,1977973,2052734,2197604,2405113,2509395,2676688,2689513,2960996,2987375,3011274,3533204,3584850,3765614,3823840,3914516,3965749,4107193,4301820,4588608,4659135,4969744,5057684,5162184,5376949,5519283,5539928,5590962,5807457,5939413,6232419,6570575,6608894,6640873,6807795,7175822,7261648,7340533,7530596,7884690,7910564,8169354,8177749,8195299,8317033,8410336,8527659,9012373,9155534,9239444,9461628,10151975,10247523,10377236,10565294,10949749,11409422,11707570,12182370,12994528,13009849,13027604,13247295,13374014,13692949,13829353,14049084,14130448,14161556,14374249,14451635,14618844,14772974,14916884,15216019,15483044,15541323,15610622,15860324,15896754,16446974,16725100,16959128,17341962,17560094,17694339,18121316,18424249,18501575,19079019,19092949,19222595,19759849,20070120,20373656,20424949,20609294,20955733,21128804,21408128,21617593,21737170,21881833,22066964,22201890,22277653,22409449,22578885,22629476,22816916,22920363,23067114,23198713,23546859,23682016,23893000,24084144,24231095,24247033,24417987,24953555,25030249,25160533,25287422,25750186,25854459,26084604,26097135,26185364,26386295,26459413,26558996,26642268,26745764,26879625,26976949,26995839,27094662,27106153,27460850,27622249,27751093,27836944,28019822,28031975,28234995,28671600,28836734,28907449,28984484,29077314,29357156,29419513,29915924,29923934,29944266,30117328,30583040,30737822,30948793,31053100,31257611,31292259,31316562,31663554,31717976,32215273,32255550,32705444,32891156,32901854,32953020,33223273,33262484,33638370,33853083,33881994,34101493,34249694,34405920,34615850,35100853,35117204,35149888,35535003,35593934,35672996,35682723,35690135,35847349,35880928,36257011,36467449,36532923,36699648,36785980,37085749,37263720,37561667,37708436,38071055,38147343,38194153,38554895,38706660,39338654,39543624,39605054,39747968,40271893,40366044,40669214,40757749,41287104,41363449,41539020,41846713,41921685,42261134,42279083,42303575,42828162,43423844,43491575,43887733,44143176,44308288,44462698,44486577,44653730,44716464,44893796,45018159,45078613,45255128,45429422,45685266,46026133,46265874,46447992,46615993,46663895,48024313,48053822,48295079,49073749,49554195,49654249,49661073,49846824,50266699,50306022,50570516,50694613,50764290,50809849,50912019,51030123,51444014,51481563,51499753,51795730,51843733,52072693,52189890,52253991,52529749,52551400,52694763,52857808,53113496,53259422,53306276,53584476,53797535,53852564,54120373,54148576,54884027,55067774,55247893,55669216,55853156,55996674,56077677,56497714,57036949,57124244,57148153,57399243,57487124,57668516,58035263,58051635,58407422,58756196,59120325,59220035,59465034,59661716,59752683,60316963,60398690,60886249,60917148,60994933,61287575,61289636,61921744,62154876,62230622,62270403,62627868,62938933,63061680,63456164,63474793,63518140,63565898,64256414,64557042,65078036,65399523,65405336,65517854,65545928,65705749,65798036,65976963,66021422,66427427,66652153,67175413,67265792,67632728,67835698,68377659,68530622,68852324,68992970,69030734,69194195,69250453,69569636,69661962,69867349,70944390,71064042,71771054,71809570,72267422,72409849,72478428,72812473,73386339,73414249,73545090,73581003,73739169,73993900,74144463,74177495,74933156,75320763,75674016,75879551,75893749,76002404,76086819,76221768,76384249,76463294,76536596,76643359,77199422,77262613,77426276,77457013,77689454,77856575,77934254,78243739,78293859,78328249,78424693,78448096,78670484,78912014,79025684,79156094,79563095,79564828,79643822,79671913,80150379,80326519,80711020,80812393,81154196,81265443,81330495,81331364,81401975,81416859,82073822,82552834,82558094,82791564,82860387,83033034,83062249,83454884,83618233,84136535,84264728,84600050,84905449,85133268,85229179,85452793,85691822,85749489,86102804,86167090,86171484,86472536,86629813,86719849,86752528,86983844,87079273,87258553,87705493,87784725,87817235,88254108,88743524,88792680,89012994,89667575,89753054,90039183,90349333,90740200,90783673,91043413,91646953,91981976,92122574,92428436,92843449,93044435,93206975,93427890,93637040,94007822,94085495,94109749,94527764,94611733,94712192,94797819,95051876,95280728,95475714,95611516,95857426,95924756,96099236,96744575,96853224,96908140,96920053,97051694,97281603,97517822,97596594,97682370,98178495,98213522,98362411,98614249,98848850,99110859,99632643,99656416,99755924,99839822,99883753,99891765,99915634,...,181326010769475521639916965031826850092869286211755288045383853141433812877130441800650310476909090978108333235952055682351053708652644815313228773516292730447389724056922822767738945184243881604941848147766659443496206738210015681069878012755081637805171301206026592129526118622498689165137831337813566953887364122314459805284634784882170161846185108897555742438965893741532133664754183315529046832209139227135250787920787685921396423080972390456982633152945953152518228347180682459598489319275945854291221448304164605907439428779809256406852186677561930902104060577121175729406898638081480533229777331548350603155263261891622770491039476631391565094724488106247691968886044266429785382742445445036260182048705335164038677486283853751496469975854854802065084899615880564715846180826134014232109346993417744158270719540516957177324665986087037583937424540704072330325125249716220377579155850145054604946011959425402618410113538896294028359768694001787866544642740559651444405923395957927560156926260358471725519050289771920922493538014501468263757294782393589779498695927681550470667302273837141669679166633730029309360634685302922439898877441518844770646131812653172728502809473853006654622745099542678368684220685788877621298399081029435366926981344077363832605205835441767389035671696811743580547765170467230211663992575137578640288716175809838432349600570152736892515857286766864553573417981082239586851107697467917504349483357775540936630902536145020965026422815679179676985523566892568677619803705745003637221431529301123711303704987645123711321709840433664590649173153910710575482383822868844236276987264773524626540522092566412189240709424392140038631717951463180528253869160760583524709337853146869316745923061514433949124865143731687908785087639829833561857973416576687342066606401751611443422701849580572493483713534869567531370353475314199169047483255146730939957536205922475834641666870576715945616612135028890970229153720741941563214691570615405594420622482967710181496806648449892800044250379081672776208399171518692182114539909226819699707970619619132450755166181199343287553194989265208564689042603531501802834263129597698943882008325005745973562795900441191702360655168008590710115822550078191874033998167271667035799846233449639112830250721850701964366529066195496579919833665132428102237658587915709296573984459886980533619750316650995984045750427304443806880993842715573349815115757605674841253070508332108419968424635793537011280284403019229586532978108941215015908206030281235665864963441684218934155793018519714753332577630021840046293318175489246071076007855975835958743048789106343764845196537803016640678670700115777356102528314710706058229043745307741862339770378089620519253661276178336531526539853750840020435859665811448160072666714996053523675657341186952405089846841686130611069375090176138926255972364137898528865259229690808770653708443589336939824124351873300424575156753534584536829172097435339176926427340770756666364710333864833183499934071925598220974294647627990229697569678626471217970459174414662637599981754869863685019579238434898850770261408873022596229978671065058212042698765909368020063288961250455707244212720199889850344614493635408817411238044340645092418213347180640680394861790049553303568327415463882977577787320806627448456002162801760150368224377092958139178168130785907566725684736608620294632179357795330802738234080837391181972121400666652903594800028232986747320961658264706508515657837564549516192032054043276381499169205354584461499370809624176069867434080904597670138052614033065009817797422514215307629528387194435683736153528375840497545341682477425136090886301129051088951416125766119355044948467250258361745068624249028279052212621336429950897202173314068289640867870531330749977632914918401889567471811337756189728711626997216080591396}
23915 538871579259135988290252261654503909332889669899287282553708877839747241738218: {95644,191272,215181,932061,1314445,1361901,1577334,2030905,2342102,2437086,2747005,2891053,3079101,3296406,3345860,3701245,4015032,4348526,4416505,4441494,4466869,4516911,4779800,4847437,4893145,5299806,5377275,5648421,5735760,5871774,6118144,6212180,6322105,6353942,6452730,6882912,6924910,7139821,7359044,7454616,7586526,7712917,7743276,8073806,8140693,8309892,8386443,9000121,9077060,9413245,9888205,9913341,10432501,10512920,10763733,10892472,11295894,11370212,11549305,11767417,11827035,11865846,12082774,12254031,12334069,12364142,12615504,12626701,12971545,13663364,13733301,13802062,13859166,14192442,14839237,15230974,15565854,15847941,16243160,16284505,16628329,17114133,17561355,17663060,17701945,17826949,18273555,18613573,18646105,18668686,18732112,19136293,19238414,19353805,19491792,19541406,19825405,20061021,20063737,20721764,20906375,21073626,21195672,21198910,21242334,21928266,21996013,22159461,22375326,22651645,23122616,23224566,23415933,23592452,23790486,23845131,24357326,24670461,25087650,25438692,25467070,25700701,26012943,26340141,26352662,26411005,26672126,26760160,26966533,27143509,27181974,27551641,27583705,27753229,28286845,28521145,28759189,29602520,29866250,30105180,30560484,30756152,30913941,31250713,31395812,31693206,31988917,32112192,32341381,32557316,32605755,32731705,33100446,33198745,33302835,33432205,33434893,33542942,33944214,34225374,34256893,34472612,34600671,34779472,34796180,34946041,35523024,35816869,35839500,35994452,36126216,36230605,36631321,36696445,37224022,37394905,37553101,37646660,37931133,38228800,38625279,38769752,38816375,39126906,39154333,39247849,39278046,39453733,39598237,39647470,39838494,39925688,39963402,39992101,40063273,40118646,40641993,40767997,40881805,41011069,41113945,41191275,41442109,41517086,41578105,41723012,41755416,42014053,42029733,42218072,42567613,43007400,43255101,43268221,43476726,43493494,43615971,43896505,43937360,44035734,44081017,44591245,44851160,44873886,44885901,44916399,45137444,45175992,45223646,45874560,45914629,45982475,46009561,46106733,46250582,46280317,46474309,46579650,46625854,46974843,47135545,47380004,47495331,47576964,48363037,48383325,48710564,48932864,49058166,49336734,49352781,49429530,49684960,49893726,50412121,50457555,50822991,50863124,51374541,51608880,51923775,51996877,52412413,52675806,52724832,52885822,52929109,53390901,53509494,53821392,54181526,54279805,54283501,55049472,55178970,55244894,55339369,55385360,55895580,56117245,56356141,56562654,56568910,57104216,57229669,57352687,58059990,58857568,59007981,59121469,59139454,59178637,59315436,59407581,59556313,59621952,60024212,60413581,60549066,60663542,60668773,60913688,60958549,61003821,61239973,61687832,61930656,62308530,62730613,63213145,63364729,63391701,64242243,64677334,65135766,65689250,66072260,66214764,66391870,66462432,66632845,66694047,66918457,66980595,67074696,67200286,67227757,67315705,67340694,67685720,67882692,68040164,68144133,68527899,68642084,69398811,69586520,69671988,69816445,70259684,70449973,71236393,71405305,71445968,71591893,71693401,71858905,71991469,72080733,72085645,72176917,72664453,73018693,73256494,73445245,73520941,73731637,74577145,74662232,74770236,74949349,75459033,75663469,75836606,75855774,75908462,75938341,76146435,76532324,76612045,76948633,77166021,77402180,77693595,77792854,77862334,77904121,78284835,78337177,78498446,78827100,79286712,79320205,79397675,79670244,79889133,79959414,80119822,80376714,80484229,80711653,80778846,81222864,81347545,81367261,81756670,81932410,82247545,82452493,82601661,82644601,82873168,83027204,83370637,83503824,83779734,83995011,84082240,84540910,84746571,84902941,84965269,85686366,85872254,86065405,86076056,86230686,86502774,86544382,86962045,87199364,87362869,87611133,87969284,88112246,88134294,88328557,89197551,89492574,89917069,89926681,90598035,91170212,91346389,91375722,91633262,91934454,92039641,92143417,92492375,92882616,92959237,93232314,93345933,93594326,93666445,93941802,94037917,94377901,94592520,94752056,95003005,95018869,95184246,95277210,95348847,95670745,95724157,95825989,96384621,96460933,96547693,96637904,96782845,96835563,96918926,97441294,97617054,97848452,98060120,98061934,98108004,98276781,98318892,98338105,98443993,98697054,98782105,98859284,99032133,99456035,...,271989016154213282459875447547740275139303929317632932068075779712150719315695662700975465715363636467162499853928083523526580562978967222969843160274439095671084586085384234151608417776365822407412772221649989165244310107315023521604817019132622456707756951809039888194289177933748033747706747006720350430831046183471689707926952177323255242769277663346333613658448840612298200497131274973293570248313708840702876181881181528882094634621458585685473949729418929728777342520771023689397733978913918781436832172456246908861159143169713884610278280016342896353156090865681763594110347957122220799844665997322525904732894892837434155736559214947087347642086732159371537953329066399644678074113668167554390273073058002746058016229425780627244704963782282203097627349423820847073769271239201021348164020490126616237406079310775435765986998979130556375906136811056108495487687874574330566368733775217581907419017939138103927615170308344441042539653041002681799816964110839477166608885093936891340235389390537707588278575434657881383740307021752202395635942173590384669248043891522325706000953410755712504518749950595043964040952027954383659848316162278267155969197718979759092754214210779509981934117649314017553026331028683316431947598621544153050390472016116045748907808753162651083553507545217615370821647755700845317495988862706367960433074263714757648524400855229105338773785930150296830360126971623359380276661546201876256524225036663311404946353804217531447539634223518769515478285350338853016429705558617505455832147293951685566955557481467685566982564760650496885973759730866065863223575734303266354415480897160286939810783138849618283861064136588210057947576927194770792380803741140875287064006779720303975118884592271650923687297715597531863177631459744750342786960124865031013099909602627417165134052774370858740225570302304351297055530212971298753571224882720096409936304308883713751962500305865073918424918202543336455343730581112912344822037355923108391630933724451565272245209972674839200066375568622509164312598757278038273171809863840229549561955929428698676132749271799014931329792483897812847033563905297252704251394694396548415823012487508618960344193850661787553540982752012886065173733825117287811050997250907500553699769350174458669245376082776052946549793599293244869879750497698642153356487881873563944860976689830470800429625474976493976068625640956665710321490764073360024722673636408512261879605762498162629952636953690305516920426604528844379799467163411822523862309045421853498797445162526328401233689527779572129998866445032760069439977263233869106614011783963753938114573183659515647267794806704524961018006050173666034153792472066059087343565617961612793509655567134430778880491914267504797289809780626260030653789498717172240109000072494080285513486011780428607634770262529195916604062635264208389383958546206847793297888844536213155980562665384005409736186527809950636862735130301876805243758146153008765389641011156134999547065500797249775249901107888397331461441971441985344546354517939706826955688761621993956399972632304795527529368857652348276155392113309533894344968006597587318064048148864052030094933441875683560866319080299834775516921740453113226116857066510967638627320020770961020592292685074329955352491123195824466366680981209941172684003244202640225552336565639437208767252196178861350088527104912930441948269036692996204107351121256086772958182100999979355392200042349480120981442487397059762773486756346824274288048081064914572248753808031876692249056214436264104801151121356896505207078921049597514726696133771322961444292580791653525604230292563760746318012523716137704136329451693576633427124188649179032567422700875387542617602936373542418578318932004644926345803259971102434461301805796996124966449372377602834351207717006634284593067440495824120887094}
23916 540766505046513601140546160213786307590091815657109962721383302569405817898121: {119555,143466,167363,239090,286908,406283,549539,692723,883523,1026539,1121843,1242748,1407563,1815868,1957586,1978139,2103112,2120603,2310443,2366001,2452739,3021203,3249448,3513153,3541283,3655629,3871739,3955946,4105468,4107539,4182325,4395208,4672643,4810226,4944609,5018790,5353376,5377403,5379026,5424323,5658803,5921992,5974750,6022548,6522789,6662241,6688139,6921539,7066408,7169700,7247963,7387739,7480883,7531228,7647680,7765225,7829032,7931498,7949709,8214386,8224883,8317739,8456963,8603640,8642483,8807661,8920523,9177216,9198805,9318270,9530913,9679095,9845243,9939488,10115368,10324368,10387365,10398539,10720763,10753898,11038566,11079856,11181924,11346325,11379789,11614914,11685083,11878826,12110709,12464838,12782843,13141150,13217788,13281746,13466603,13615590,14212765,14351644,14420843,14523296,14681066,15055043,15061192,15769380,15821128,16338708,16355498,16390598,16634066,16678643,16820672,16858403,16943841,17055318,17079205,17217539,17531363,17798769,17889539,18024746,18124161,18311068,18478888,18546213,18923256,19139123,19672739,19761563,19805963,19894739,20205203,20232289,20303950,20426723,20495046,20703093,20754472,20788749,21130588,21288663,21883739,21899498,22078825,22818844,22846461,23113163,23348781,23415140,23769203,24292739,24364740,25292963,25726523,25902205,25989056,26019698,26055208,26494590,26748028,26911633,27385898,27624683,27658706,28003029,28053923,28098168,28260896,28323112,28748498,28857621,28903270,28910003,28952723,29237688,29312109,29336843,29464739,29490565,29545948,29833768,30432038,30824483,30951539,30966088,31082646,31221244,31610439,31720648,31793508,31798365,31863501,32218139,32512643,32892399,32893948,33268139,33450200,33562989,33918256,33923533,34646483,34683924,34836849,34934977,35020883,35120188,35388678,35685729,35891963,35974739,36242632,36470723,36535989,36848498,36883163,36940813,37003150,37130243,37631475,38158038,38185898,38200605,38238539,38445190,38974163,39244765,39463139,39519698,39528993,39544523,40008189,40140240,40275539,40696645,40747312,40772961,40849898,41218588,41367203,41407523,41609003,41911466,42091739,42257608,42816256,43090765,43235186,43293539,43413323,43474340,43495225,43572923,43763666,44133928,44391061,44403780,44555306,44799375,44818898,44884739,44993065,45157770,45258952,45633832,45793883,45840726,46069739,46134228,46384523,46397426,46659539,47058325,47093718,47364032,47364923,47539809,47786000,47833739,48168288,48462190,48494066,48612539,48835974,49078283,49117043,49650669,49907110,49966189,50060498,50314413,50321066,50468603,50574844,50622443,50814563,50916321,51338061,51500372,51504539,51619283,51708918,51963083,52077539,52153765,52169208,52194270,52370728,52772590,52918826,53117992,53284536,53299477,53491528,53759250,53953898,53976853,53991678,54189324,54212306,54276203,54921700,55244498,55290539,55502186,55673888,55836033,56038139,56039644,56063950,56299043,56421805,56469990,57079403,57343200,57673468,57814898,57819323,57968968,58154628,58261739,58519283,58690359,58703003,58714312,58839026,58917069,59225005,59471205,59757741,59831848,59847868,59888532,59945103,60165563,60177969,60234656,60888205,60892043,61000739,61166080,61475644,61897586,61903739,61975763,62106200,62191643,62275629,62515222,62584518,62633124,63088043,63327108,63409523,63435952,63578905,63943883,64430546,64511100,64688963,64862941,65215089,65240241,65329453,65410888,65641739,65712083,65747243,65782312,65803708,65906040,66053601,66446546,66448763,66524968,67216739,67276740,67310829,67706166,67763988,67835469,68202986,68430539,68499388,68587129,68811840,69231700,69291539,69375873,69869475,69874163,69938781,70201706,70234408,70299776,70318139,71070006,71187868,71345992,71365446,71380270,71694698,71743283,71761856,71912003,72248843,72416963,72450563,72514022,72853139,72934898,73020539,73065846,73399296,73571960,73587249,74005101,74144295,74171498,74527440,74749643,74840589,75030265,75123334,75316549,75343139,75416872,75441803,75901283,75934043,76142110,76294686,76326539,76388306,76489739,77109790,77302739,77413320,78368243,78432539,78505141,78677308,78753539,79013709,79087248,79137683,79210108,79328733,79488803,79495936,79711739,80093003,80264241,80441483,80543786,80732088,80820539,81272289,81338428,81515498,81857003,82075739,82138163,82449803,82574208,82590325,82726898,82768455,82867341,82908049,83070683,83078040,83101643,83256323,83693426,83843370,84522268,84558166,84607150,84806557,84843981,84853365,84944603,85050205,85218563,85309739,85461539,85656324,85802605,86006363,86578643,86847688,86983150,87089985,87118139,87267539,87565739,87775466,87824605,88286352,88603139,88616576,88709181,88809443,88925396,88973154,89307460,89432928,89484539,89572283,89675833,89689163,89787592,90009923,90036318,90157226,90358739,90510256,90793139,90823599,90858844,90995313,91168163,91370532,92052266,92531748,92895984,93220739,93231986,93327790,93462795,93699323,93783539,93979763,94147643,94566083,94621739,95645603,95665405,96048626,96107644,96139739,96221843,96590158,96752725,96871873,96876083,97016001,97282643,97703649,97821923,98147498,98384723,98533875,98970539,99103139,99108390,99308498,99322146,99587805,99693648,99894539,99973283,...,407983524231319923689813171321610412708955893976449398102113669568226078973543494051463198573045454700743749780892125285289870844468450834454764740411658643506626879128076351227412626664548733611119158332474983747866465160972535282407225528698933685061635427713559832291433766900622050621560120510080525646246569275207534561890428265984882864153916495019500420487673260918447300745696912459940355372470563261054314272821772293323141951932187878528210924594128394593166013781156535534096600968370878172155248258684370363291738714754570826915417420024514344529734136298522645391165521935683331199766998995983788857099342339256151233604838822420631021463130098239057306929993599599467017111170502251331585409609587004119087024344138670940867057445673423304646441024135731270610653906858801532022246030735189924356109118966163153648980498468695834563859205216584162743231531811861495849553100662826372861128526908707155891422755462516661563809479561504022699725446166259215749913327640905337010353084085806561382417863151986822075610460532628303593453913260385577003872065837283488559001430116133568756778124925892565946061428041931575489772474243417400733953796578469638639131321316169264972901176473971026329539496543024974647921397932316229575585708024174068623361713129743976625330261317826423056232471633551267976243983294059551940649611395572136472786601282843658008160678895225445245540190457435039070414992319302814384786337554994967107419530706326297171309451335278154273217428025508279524644558337926258183748220940927528350433336222201528350473847140975745328960639596299098794835363601454899531623221345740430409716174708274427425791596204882315086921365390792156188571205611711312930596010169580455962678326888407476385530946573396297794766447189617125514180440187297546519649864403941125747701079161556288110338355453456526945583295319456948130356837324080144614904456463325570627943750458797610877637377303815004683015595871669368517233056033884662587446400586677347908367814959012258800099563352933763746468898135917057409757714795760344324342933894143048014199123907698522396994688725846719270550345857945879056377092041594822623734518731262928440516290775992681330311474128019329097760600737675931716576495876361250830549654025261688003868064124164079419824690398939867304819625746547963230034731822810345917291465034745706200644438212464740964102938461434998565482236146110040037084010454612768392819408643747243944928955430535458275380639906793266569699200745117733785793463568132780248196167743789492601850534291669358194998299667549140104159965894850803659921017675945630907171859775489273470901692210056787441527009075260499051230688708099088631015348426942419190264483350701646168320737871401257195934714670939390045980684248075758360163500108741120428270229017670642911452155393793793874906093952896312584075937819310271689946833266804319733970843998076008114604279791714925955294102695452815207865637219229513148084461516734202499320598251195874662874851661832595997192162957162978016819531776909560240433533142432990934599958948457193291294053286478522414233088169964300841517452009896380977096072223296078045142400162813525341299478620449752163275382610679669839175285599766451457940980031156441530888439027611494933028736684793736699550021471814911759026004866303960338328504848459155813150878294268292025132790657369395662922403555039494306161026681884130159437273151499969033088300063524220181472163731095589644160230134520236411432072121597371858373130712047815038373584321654396157201726682035344757810618381574396272090044200656984442166438871187480288406345438845641119477018785574206556204494177540364950140686282973768548851134051313081313926404404560313627867478398006967389518704889956653651691952708695494187449674058566404251526811575509951426889601160743736181330641}
23917 542668051150595227379099981692012091214750720465556315476591677585394049446950: {23917,191288,215199,358635,382544,430362,1553435,1840223,1864122,2269835,2628890,2723802,2843267,2936379,3154668,3416699,3845807,4061810,4684204,4874172,4992383,5131835,5181743,5279027,5494010,5782106,5933919,6158202,6183107,6592812,6691720,6850403,7215339,7402490,7528185,8030064,8068539,8620319,8697052,8833010,8850947,8882988,8933738,8962125,9033822,9414035,9559600,9620819,9694874,9714683,9786290,10599612,10754550,11296842,11471520,11743548,11897247,12236288,12321579,12424360,12578963,12644210,12707884,12905460,13151819,13178543,13765824,13843487,13849820,13977405,14279642,14576627,14718088,14909232,15173052,15425834,15486552,16130847,16147612,16169027,16281386,16522235,16557849,16619784,16772886,17422371,17439467,17818239,17939555,18000242,18154120,18160163,18584603,18697257,18826490,19137899,19711725,19776410,19826682,19922619,20302307,20423385,20705663,20865002,21025840,21447443,21527466,21784944,21997859,22021599,22591788,22615619,22740424,22798307,22888835,23098610,23534834,23654070,23731692,24165548,24508062,24533247,24585897,24668138,24728284,24782723,24951099,25231008,25253402,25582977,25943090,26104547,26413235,27037119,27095327,27145787,27326728,27466602,27604124,27718332,27755567,28384884,28523555,29268925,29569307,29678474,30336863,30455925,30461948,30742569,31131708,31695882,31712303,31869539,32142623,32486320,32569010,32849247,33256658,33435035,33437699,34228266,35122710,35326120,35403890,35653898,35752319,36339743,36547110,36717407,36932435,36975407,37227146,37292210,37337372,37464224,38272586,38476828,38617187,38707610,38983584,39026555,39029547,39082812,39157619,39601583,39650810,39741885,39929603,40122042,40127474,40485419,41078847,41117435,41443528,41445587,41488059,41812750,42017579,42147252,42149963,42329027,42391344,42397820,42484668,42571199,43122747,43354905,43579583,43856532,43865243,43900235,43992026,44063519,44318922,44750652,45303290,45648057,45824387,46245232,46449132,46478243,46623969,46627139,46724747,46805087,46831866,47184904,47580972,47690262,48154367,48467627,48714652,49267019,49340922,49472063,50175300,50307179,50722847,50877384,50934140,51325907,51375023,51401402,51523235,52025886,52352867,52680282,52705324,52822010,53083017,53344252,53520320,53759483,53888819,53933066,54287018,54342925,54363948,55103282,55167410,55272747,55504725,55506458,56147243,56573690,57042290,57234527,57237057,57278847,57518378,57559523,57667785,58209347,59032427,59156063,59205040,59279547,59642363,59732500,60210360,61120968,61274847,61455107,61512304,61827882,61849883,62427743,62461499,62501426,62791624,62867199,63218555,63370067,63386412,63977834,64224384,64375465,64682762,64852779,65114632,65211510,65463410,65645499,65989763,66200892,66397490,66605670,66832959,66864410,66869786,67085884,67228347,67736655,67888428,68130143,68450748,68513786,68652125,68761089,68945224,69201342,69423407,69558944,69570323,69592360,69596139,69870827,69892082,70049555,70640577,70819403,71046048,71533523,71633738,71679000,71699459,71988904,71997563,72091835,72252432,72461210,72693285,72741099,72983363,73253961,73262642,73392890,73538399,74136179,74448044,74711339,74789810,74809835,74860665,75090747,75106202,75293320,75481599,75862266,75991727,76457600,76844555,77250558,77539504,77563377,77632750,78253812,78291405,78308666,78495698,78556092,78564143,78907466,79158885,79196474,79294940,79378239,79676988,79693823,79851376,79926804,79984202,80126546,80237292,80638875,80668319,80930847,80987517,81230699,81283986,81318459,81535994,81763610,82022138,82227890,82254635,82382550,82459439,82866747,82884218,83034172,83156210,83253279,83259059,83276819,83446024,83510832,84028106,84059466,84095925,84436144,84704985,84972443,85080827,85135226,85624235,86014800,86294819,86510202,86536442,86539625,86722347,86953452,86986988,87231942,87511763,87793010,87874720,88071468,88162034,88258539,88498403,88984835,89182490,89702320,89747772,89759507,89771802,89832798,90274888,90351984,90435323,90447292,91749120,91829258,91964950,92019122,92151203,92213466,92501164,92560634,92846379,92948618,93159300,93251708,93285983,93772833,93876777,93949686,94117307,94241987,94271090,94760008,94961183,94990662,95026943,95153928,95386499,96645819,96726074,96766650,97225643,97421128,97743023,97865728,98116332,98346635,98673468,98705562,98859060,99012635,99369827,99369920,99669819,99787452,99967427,...,543978032308426564919750895095480550278607858635265864136151559424301438631391325401950931430727272934324999707856167047053161125957934445939686320548878191342169172170768468303216835552731644814825544443299978330488620214630047043209634038265244913415513903618079776388578355867496067495413494013440700861662092366943379415853904354646510485538555326692667227316897681224596400994262549946587140496627417681405752363762363057764189269242917171370947899458837859457554685041542047378795467957827837562873664344912493817722318286339427769220556560032685792706312181731363527188220695914244441599689331994645051809465789785674868311473118429894174695284173464318743075906658132799289356148227336335108780546146116005492116032458851561254489409927564564406195254698847641694147538542478402042696328040980253232474812158621550871531973997958261112751812273622112216990975375749148661132737467550435163814838035878276207855230340616688882085079306082005363599633928221678954333217770187873782680470778781075415176557150869315762767480614043504404791271884347180769338496087783044651412001906821511425009037499901190087928081904055908767319696632324556534311938395437959518185508428421559019963868235298628035106052662057366632863895197243088306100780944032232091497815617506325302167107015090435230741643295511401690634991977725412735920866148527429515297048801710458210677547571860300593660720253943246718760553323092403752513048450073326622809892707608435062895079268447037539030956570700677706032859411117235010911664294587903371133911114962935371133965129521300993771947519461732131726447151468606532708830961794320573879621566277699236567722128273176420115895153854389541584761607482281750574128013559440607950237769184543301847374595431195063726355262919489500685573920249730062026199819205254834330268105548741717480451140604608702594111060425942597507142449765440192819872608617767427503925000611730147836849836405086672910687461162225824689644074711846216783261867448903130544490419945349678400132751137245018328625197514556076546343619727680459099123911858857397352265498543598029862659584967795625694067127810594505408502789388793096831646024975017237920688387701323575107081965504025772130347467650234575622101994501815001107399538700348917338490752165552105893099587198586489739759500995397284306712975763747127889721953379660941600859250949952987952137251281913331420642981528146720049445347272817024523759211524996325259905273907380611033840853209057688759598934326823645047724618090843706997594890325052656802467379055559144259997732890065520138879954526467738213228023567927507876229146367319031294535589613409049922036012100347332068307584944132118174687131235923225587019311134268861557760983828535009594579619561252520061307578997434344480218000144988160571026972023560857215269540525058391833208125270528416778767917092413695586595777689072426311961125330768010819472373055619901273725470260603753610487516292306017530779282022312269999094131001594499550499802215776794662922883942883970689092709035879413653911377523243987912799945264609591055058737715304696552310784226619067788689936013195174636128096297728104060189866883751367121732638160599669551033843480906226452233714133021935277254640041541922041184585370148659910704982246391648932733361962419882345368006488405280451104673131278874417534504392357722700177054209825860883896538073385992408214702242512173545916364201999958710784400084698960241962884974794119525546973512693648548576096162129829144497507616063753384498112428872528209602302242713793010414157842099195029453392267542645922888585161583307051208460585127521492636025047432275408272658903387153266854248377298358065134845401750775085235205872747084837156637864009289852691606519942204868922603611593992249932898744755205668702415434013268569186134880991648241774188}
23918 544576240550978778317943020003499950667698298611417758833653696247221873108131: {167377,239110,286932,334726,454081,478180,573816,645543,740497,812566,1099078,1385446,1455277,1767046,2053078,2243686,2485496,2796183,2815126,3588817,3631736,3730477,3915172,3943335,3956278,4085703,4206224,4241206,4620886,4720081,4732002,4905478,5424781,5706157,5855255,6042406,6092715,6498896,7026306,7082566,7311258,7743478,7911892,7946797,8210936,8215078,8241015,8364650,8673159,8790416,8921281,9237303,9345286,9615181,9620452,9889218,9892237,10037580,10706752,10754806,10758052,10848646,10871315,11103735,11317606,11410897,11843984,11949500,12045096,12783937,12878327,13045578,13249515,13324482,13376278,13400607,13550733,13843078,14132816,14149777,14339400,14495926,14542311,14679435,14775478,14961766,15062456,15295360,15530450,15658064,15862996,15884855,15899418,16049857,16131825,16428772,16449766,16455181,16635478,16913926,16945263,17207280,17284966,17312275,17398417,17615322,17841046,18204097,18354432,18397610,18636540,18966315,19061826,19358190,19690486,19807681,19878976,19897871,20184515,20206957,20230736,20648736,20774730,20797078,20870977,21419463,21441526,21507796,22077132,22159712,22363848,22692650,22759578,22852237,23138751,23229828,23370166,23757652,23910887,24221418,24422079,24929676,25159329,25565686,26282300,26435576,26563492,26933206,27000363,27231180,27283117,28239735,28313581,28425530,28703288,28841686,28955281,29046592,29339437,29362132,29664615,29740023,30110086,30122384,30206935,30910355,31297503,31538760,31642256,32291199,32677416,32710996,32781196,33019537,33268132,33357286,33641344,33716806,33887682,34110636,34158410,34435078,34505155,34647915,34649581,35062726,35302251,35481105,35597538,35779078,36049492,36248322,36263087,36267457,36622136,36762093,36957776,37002207,37092426,37846512,37880103,38077435,38278246,38732737,38914635,38977681,39345478,39523126,39588781,39611926,39789478,40410406,40464578,40607900,40853446,40990092,41169217,41199903,41286791,41406186,41411281,41508944,41577498,42261176,42577326,43767478,43798996,44157650,44517711,45637688,45692922,46226326,46428097,46671715,46697562,46830280,47016877,47369281,47538406,47543823,48096035,48585478,48729480,48853515,49119103,49121581,49884987,50511757,50585926,51342399,51432781,51453046,51804410,51978112,52039396,52110416,52349197,52462163,52684065,52989180,52997275,53105835,53480847,53496056,53823266,53941837,54281281,54771796,54820665,54942671,55249366,55317412,55840719,55938315,56006058,56107846,56196336,56521792,56646224,56750737,56975303,57408879,57418177,57496996,57715242,57806540,57820006,57861697,57905446,58061415,58193581,58475376,58624218,58673686,58929478,58981130,59075437,59091896,59476215,59667536,60062017,60171277,60183063,60191211,60327071,60716497,60864076,60893315,61259917,61648966,61903078,61932176,62165292,62233537,62442488,62719125,62990291,63094081,63220878,63441296,63587016,63596730,63667675,63727002,63843277,64436278,64695181,65025286,65753581,65784798,65787896,65881655,65988039,66069697,66438559,66478383,66536278,66680315,66900400,67125978,67836512,67847066,67954935,68160577,68368081,69292966,69367848,69673698,69869954,70041766,70240376,70247799,70777356,71371458,71535393,71648977,71783926,71949478,71952781,72457681,72485264,72659137,72941446,73015271,73071978,73662097,73696996,73766326,73881626,74006300,74011383,74260486,74665625,75262950,75892267,75941581,76316076,76371796,76401210,76477078,76656203,76890380,77102103,77213137,77892781,77948326,78038829,78182977,78489530,78926278,78990527,79020423,79039396,79057986,79089046,79233015,80016378,80101057,80280480,80481217,80551078,80576077,80899599,81238081,81393290,81430527,81494624,81545922,81699796,82177681,82437176,82654923,82734406,82751115,82815046,82831117,82915007,83110081,83218006,83259687,83295697,83822932,83857355,84183478,84515216,84860535,85243487,85563435,85632512,86181530,86277567,86470372,86497357,86587078,86587537,86826646,86948680,86990450,87145846,87527332,88267856,88782122,88807560,89010467,89110612,89598750,89610817,89637796,89769478,89986130,90315540,90517904,91267664,91587766,91681452,92139478,92209297,92268456,92741823,92769046,92778803,92794852,93060055,93315181,93319078,93752139,94116650,94187436,94576081,94728064,94729846,94783799,95079618,95407681,95572000,95667478,95966751,96336576,96924380,96988132,97024143,97225078,97671948,97697857,97817265,98156566,98195115,98234086,98421997,99118675,99301338,99596235,99814220,99908505,99932378,...,815967048462639847379626342643220825417911787952898796204227339136452157947086988102926397146090909401487499561784250570579741688936901668909529480823317287013253758256152702454825253329097467222238316664949967495732930321945070564814451057397867370123270855427119664582867533801244101243120241020161051292493138550415069123780856531969765728307832990039000840975346521836894601491393824919880710744941126522108628545643544586646283903864375757056421849188256789186332027562313071068193201936741756344310496517368740726583477429509141653830834840049028689059468272597045290782331043871366662399533997991967577714198684678512302467209677644841262042926260196478114613859987199198934034222341004502663170819219174008238174048688277341881734114891346846609292882048271462541221307813717603064044492061470379848712218237932326307297960996937391669127718410433168325486463063623722991699106201325652745722257053817414311782845510925033323127618959123008045399450892332518431499826655281810674020706168171613122764835726303973644151220921065256607186907826520771154007744131674566977118002860232267137513556249851785131892122856083863150979544948486834801467907593156939277278262642632338529945802352947942052659078993086049949295842795864632459151171416048348137246723426259487953250660522635652846112464943267102535952487966588119103881299222791144272945573202565687316016321357790450890491080380914870078140829984638605628769572675109989934214839061412652594342618902670556308546434856051016559049289116675852516367496441881855056700866672444403056700947694281951490657921279192598197589670727202909799063246442691480860819432349416548854851583192409764630173842730781584312377142411223422625861192020339160911925356653776814952771061893146792595589532894379234251028360880374595093039299728807882251495402158323112576220676710906913053891166590638913896260713674648160289229808912926651141255887500917595221755274754607630009366031191743338737034466112067769325174892801173354695816735629918024517600199126705867527492937796271834114819515429591520688648685867788286096028398247815397044793989377451693438541100691715891758112754184083189645247469037462525856881032581551985362660622948256038658195521201475351863433152991752722501661099308050523376007736128248328158839649380797879734609639251493095926460069463645620691834582930069491412401288876424929481928205876922869997130964472292220080074168020909225536785638817287494487889857910861070916550761279813586533139398401490235467571586927136265560496392335487578985203701068583338716389996599335098280208319931789701607319842035351891261814343719550978546941803384420113574883054018150520998102461377416198177262030696853884838380528966701403292336641475742802514391869429341878780091961368496151516720327000217482240856540458035341285822904310787587587749812187905792625168151875638620543379893666533608639467941687996152016229208559583429851910588205390905630415731274438459026296168923033468404998641196502391749325749703323665191994384325914325956033639063553819120480867066284865981869199917896914386582588106572957044828466176339928601683034904019792761954192144446592156090284800325627050682598957240899504326550765221359339678350571199532902915881960062312883061776878055222989866057473369587473399100042943629823518052009732607920676657009696918311626301756588536584050265581314738791325844807110078988612322053363768260318874546302999938066176600127048440362944327462191179288320460269040472822864144243194743716746261424095630076747168643308792314403453364070689515621236763148792544180088401313968884332877742374960576812690877691282238954037571148413112408988355080729900281372565947537097702268102626162627852808809120627255734956796013934779037409779913307303383905417390988374899348117132808503053623151019902853779202321487472362661282}
23919 546491096306508785559703143737365086308311999317824531646745043537108423568238: {47834,358665,382576,430398,502089,597725,717270,765088,860724,1218849,1648617,2078169,2174809,2650569,3079617,3106870,3177769,3365529,3680446,3728244,4037917,4222689,4539670,4893965,5257780,5447604,5686534,5872758,5900089,5934417,6309336,6361809,6833398,6931329,7098003,7184569,7358217,7617401,7691614,8123620,9063609,9336689,9368408,9748344,9889865,9984766,10263670,10363486,10539459,10558054,10623849,10966887,10988020,11480989,11564212,11615217,11769389,11867838,12025565,12316404,12322617,12366214,12546975,12628817,13179649,13185624,13383440,13447565,13700806,14017929,14058841,14430678,14804980,14833827,14936875,15056370,16060128,16132209,16137078,16272969,16976409,17240638,17394104,17666020,17701894,17765976,17867476,17924250,18067644,18828070,19119200,19241638,19389748,19429366,19491169,19568367,19572580,19828745,19986723,20064417,20535965,20764617,21199224,21509100,21743889,22163217,22442649,22593684,22617517,22926577,22943040,23131129,23295675,23318801,23487096,23794494,23849127,24470329,24472576,24643158,24674649,24848720,24953217,25115377,25157926,25288420,25370889,25415768,25810920,25927449,26303638,26357086,26422983,26761569,26884745,27531648,27596415,27686974,27699640,27954810,28013777,28559284,28592739,28764017,29037285,29153254,29436176,29535729,29697065,29818464,30339409,30346104,30851668,30973104,31162095,31195617,32044369,32162289,32261694,32295224,32338054,32562772,32852875,33044470,33048049,33115698,33204365,33239568,33545772,33608609,34038975,34139367,34844742,34878934,35055249,35636478,35879110,36000484,36029069,36308240,36320326,36332127,36702665,36978529,37169206,37394514,37652980,38275798,38348529,39423450,39552820,39653364,39845238,39932977,40399809,40604614,40774841,40846770,40866317,40888745,40976495,41411326,41585165,41730004,42051680,42638295,42894886,42946969,43054932,43262529,43569888,43612217,43995718,44043198,44067217,45056857,45061865,45165129,45183576,45231238,45459017,45480848,45596614,45698669,45777670,45922337,46197220,46809049,47069668,47308140,47463384,48331096,49016124,49043321,49066494,49171794,49336276,49456568,49565446,49902198,50035929,50311417,50462016,50506804,50575209,50759875,50831523,51165954,51237615,51652617,51705409,51886180,52209094,52594089,52826470,53396307,53668617,54074238,54190654,54291574,54372483,54637177,54653456,54748745,54933204,55208248,55436664,55511134,55638639,56769768,57047110,57364249,57417369,57564409,57618161,58537850,58544729,59018217,59138614,59284689,59333129,59356948,59417889,59684217,60166349,60615609,60673726,60696867,60911850,60923896,61280169,61430381,61460329,61485138,62109279,62225801,62263416,62366247,62752801,63391764,63424606,63739078,63865989,64285246,64972640,65049245,65138020,65651217,65698494,66033449,66236475,66513316,66870070,66875398,66890717,68456532,68464745,68539383,69146765,69339489,69677981,70046343,70245420,70486429,70652240,70807780,70825369,71307609,71307796,71504638,71871245,72132529,72258175,72679486,72878217,73031057,73094220,73434814,73864870,73950814,74454292,74584420,74674744,74928448,75878889,76080095,76545172,76953656,77179569,77234374,77415220,77706615,77967168,78053110,78059094,78165624,78315238,79203166,79301620,79423937,79483770,79859206,80244084,80254948,80734899,80970838,81380969,81569641,82157694,82234870,82851281,82874049,82887056,82891174,82976118,83625500,84009087,84035158,84161769,84294504,84299926,84658054,84782688,84795640,84969336,85088029,85142398,86245494,86572863,86709810,86730009,86806061,86858169,86909017,87159166,87713064,87730486,87800470,87936327,87984052,88010529,88127038,88394217,88471695,88505977,88637844,89501304,89932337,90125651,90606580,91296114,91648774,92121245,92473449,92490464,92507875,92800889,92854617,92898264,92956486,92995001,93247938,93254278,93449494,93547057,93610174,93663732,93752909,94183609,94369808,94370669,94831317,94969201,95161944,95380524,95395095,95464745,95590503,95876509,95999917,96112975,96142769,96308734,96654417,96935254,97429304,97537929,98069377,98534038,98677197,98681844,98799245,98944126,99652121,99804417,...,1223950572693959771069439513964831238126867681929348194306341008704678236920630482154389595719136364102231249342676375855869612533405352503364294221234975930519880637384229053682237879993646200833357474997424951243599395482917605847221676586096801055184906283140679496874301300701866151864680361530241576938739707825622603685671284797954648592461749485058501261463019782755341902237090737379821066117411689783162942818465316879969425855796563635584632773782385183779498041343469606602289802905112634516465744776053111089875216144263712480746252260073543033589202408895567936173496565807049993599300996987951366571298027017768453700814516467261893064389390294717171920789980798798401051333511506753994756228828761012357261073032416012822601172337020269913939323072407193811831961720576404596066738092205569773068327356898489460946941495406087503691577615649752488229694595435584487548659301988479118583385580726121467674268266387549984691428438684512068099176338498777647249739982922716011031059252257419684147253589455960466226831381597884910780361739781156731011616197511850465677004290348400706270334374777677697838184284125794726469317422730252202201861389735408915917393963948507794918703529421913078988618489629074923943764193796948688726757124072522205870085139389231929875990783953479269168697414900653803928731949882178655821948834186716409418359803848530974024482036685676335736620571372305117211244976957908443154359012664984901322258592118978891513928354005834462819652284076524838573933675013778774551244662822782585051300008666604585051421541422927235986881918788897296384506090804364698594869664037221291229148524124823282277374788614646945260764096172376468565713616835133938791788030508741367888034980665222429156592839720188893384299341568851376542541320561892639558949593211823377243103237484668864331015066360369580836749885958370844391070511972240433844713369389976711883831251376392832632912131911445014049046787615008105551699168101653987762339201760032043725103444877036776400298690058801291239406694407751172229273144387281032973028801682429144042597371723095567190984066177540157811651037573837637169131276124784467871203556193788785321548872327978043990934422384057987293281802213027795149729487629083752491648962075785064011604192372492238259474071196819601914458877239643889690104195468431037751874395104237118601933314637394222892308815384304995696446708438330120111252031363838305178458225931241731834786866291606374826141919720379799709097602235353201357380390704398340744588503231368477805551602875008074584994899002647420312479897684552410979763053027836892721515579326467820412705076630170362324581027225781497153692066124297265893046045280827257570793450052104938504962213614203771587804144012818170137942052744227275080490500326223361284810687053011928734356466181381381624718281858688937752227813457930815069840499800412959201912531994228024343812839375144777865882308086358445623596911657688539444253384550202607497961794753587623988624554985497787991576488871488934050458595330728680721300599427298972803799876845371579873882159859435567242699264509892902524552356029689142931288216669888234135427200488440576023898435861349256489826147832039009517525856799299354373822940093469324592665317082834484799086210054381210098650064415444735277078014598911881014985514545377467439452634882804876075398371972108186988767210665118482918483080045652390478311819454499907099264900190572660544416491193286768932480690403560709234296216364792115575119392136143445115120752964963188471605180046106034273431855144723188816270132601970953326499316613562440865219036316536923358431056356722619668613482532621094850422058848921305646553402153939243941779213213680940883602435194020902168556114669869960955075858126086482562349022175699212754580434726529854280668803482231208543991923}
23920 548412641555547914481490288553708827875699390740624906921494364255325661970976: {71751,262999,334754,478220,573864,645597,669452,908162,956360,979039,1075905,1122031,1147632,1291086,1480994,1625132,2120959,2198156,2405719,2547991,2770892,2910554,3116359,3534092,3966751,4106156,4108231,4249639,4487372,4660305,4970992,5519071,5520669,5592366,5630252,5940919,6081391,6572225,6809505,6922711,7177634,7263472,7342399,7460954,7482151,7830344,7886670,7912556,8171406,8197357,8319151,8412448,8458399,8482412,8529801,8809137,9014671,9153559,9241772,9440162,9464004,9810956,10154525,10250097,10814599,10849562,11412314,11537421,11710510,11778751,12084812,12185430,12190879,12997792,13149991,13696471,13735025,13832911,13969279,14052612,14165132,14455265,14622516,14921839,14977149,15219841,15395505,15486956,15545229,15823784,15837081,15893594,16421872,16430156,16482030,16681519,16729300,17346318,17580832,17623999,17801757,17842562,18474606,18506225,18549321,18690572,18964279,19230362,19240904,19364959,19764991,19778436,19784474,19898191,20075160,20297359,20551209,21413504,21509612,21516104,21646017,21697292,21742630,21755431,22082525,22207470,22238797,22334345,22415311,22547071,22584555,22635212,22821794,23204791,23336119,23687968,23899000,23991679,24090192,24205617,24237185,24253399,24465725,25167151,25297399,25567874,25756654,25860957,26091156,26207119,26499030,26552841,26648964,26752556,26801214,26854759,26886375,27101466,27113311,27686156,27758431,27887239,28242105,28258321,28265632,28299554,28678800,28862457,28915111,28991852,29043271,29084622,29144049,29358870,29427319,29550956,29555191,29923532,30124912,30590720,31060900,31316128,31610525,31717999,31725992,31769710,31793597,31798836,32099714,32263650,32350159,32602519,32857544,32899532,32910362,33270956,33357871,33827852,33859999,33890526,34110631,34414560,34569932,34624550,34735951,34796834,35110279,35230644,35682092,35691741,35699105,35981191,36408194,36477271,36708864,36795220,36964737,37273080,37736889,37932630,38123652,38564585,38716380,39380972,39455457,39535629,39551671,39615362,39757952,39795742,40039399,40369030,40413914,40461472,40703465,40768831,41297472,41530461,41549460,41594156,41616559,41741954,41932215,41978791,42289709,42838926,42883052,43015592,43274497,43729881,44154264,44319424,44377111,44615359,44727696,45000605,45209719,45385300,45446959,45519156,45704474,45802279,46277502,46459656,46740332,46864351,47066225,47515304,47821774,47920591,48307217,48392541,48442836,48504871,48507081,48844158,49203631,49441025,49566705,49673547,49859352,49899799,50318658,50362471,50708719,50823991,51131372,51628879,51972751,52162505,52267113,52318401,52564600,52871152,53126984,53308409,53454717,53818665,53866412,54000726,54361711,54462360,54480489,54566234,54897821,55038439,55753809,56091771,56479470,56627162,56851060,57164311,57275479,57406576,57413697,57683372,57746525,57830239,57910562,58049849,58051639,58093184,58678874,58714111,58724264,58837085,59135175,59329230,59480046,59483719,59767857,60220172,60244768,60249799,60413870,60903631,60906921,61012351,61120999,61270155,61663159,61670345,61820710,61987591,62116989,62595006,62742079,63077520,63133505,63171631,63284512,63493039,64342329,64582398,64857725,65340401,65354832,65421992,65562392,65724751,65993577,66039074,66064797,66356551,66536264,66714572,67282688,67299391,67334449,67433612,67775364,67846857,68221272,68316820,68394921,68666505,68870156,69010310,69270679,69295830,69299162,69990391,70125452,70604502,70962210,71195076,71558156,71926111,72098984,72496644,72526174,72534914,73034911,73244272,73524186,73536031,73599741,73757691,73915552,74004414,74134999,74184852,74196185,74334079,74348169,74830519,74853297,75127519,75693024,75760206,76154870,76407031,76504951,76556492,76748931,77465474,77829270,77955362,78313641,78448231,78518297,78544639,78690956,78833431,79046252,79177562,79223852,79239705,79578956,79695919,79791391,80820812,80929156,80931439,81111357,81215800,81285981,81422525,81437361,81685711,81706892,81980184,82154791,82338434,82399806,82573582,82812372,82822562,82994599,83017888,83141645,83154996,83266701,83736199,83756321,84522352,84820769,84931471,85114279,85154652,85250641,85570665,86656519,86746591,86836591,87285511,87534956,87597992,87643351,87806775,88089031,88315300,88509725,88707921,89035422,89134745,89690861,91010589,91275376,91367775,91385844,91761679,92227707,92234317,92452652,92856194,93042559,93067865,93230525,93343430,93352441,93395124,93465919,93660560,94033754,94223431,94641751,94725199,94738562,94891879,95076812,95087646,95136909,95307319,95608617,95681465,95720959,96192070,96427869,96624631,96769025,96951079,97170956,97195159,97458960,97707030,98238206,98243162,98547741,98725951,99124471,99127025,99758359,99769974,99994879,...,1631934096925279694759252685286441650835823575905797592408454678272904315894173976205852794292181818802974999123568501141159483377873803337819058961646634574026507516512305404909650506658194934444476633329899934991465860643890141129628902114795734740246541710854239329165735067602488202486240482040322102584986277100830138247561713063939531456615665980078001681950693043673789202982787649839761421489882253044217257091287089173292567807728751514112843698376513578372664055124626142136386403873483512688620993034737481453166954859018283307661669680098057378118936545194090581564662087742733324799067995983935155428397369357024604934419355289682524085852520392956229227719974398397868068444682009005326341638438348016476348097376554683763468229782693693218585764096542925082442615627435206128088984122940759697424436475864652614595921993874783338255436820866336650972926127247445983398212402651305491444514107634828623565691021850066646255237918246016090798901784665036862999653310563621348041412336343226245529671452607947288302441842130513214373815653041542308015488263349133954236005720464534275027112499703570263784245712167726301959089896973669602935815186313878554556525285264677059891604705895884105318157986172099898591685591729264918302342832096696274493446852518975906501321045271305692224929886534205071904975933176238207762598445582288545891146405131374632032642715580901780982160761829740156281659969277211257539145350219979868429678122825305188685237805341112617092869712102033118098578233351705032734992883763710113401733344888806113401895388563902981315842558385196395179341454405819598126492885382961721638864698833097709703166384819529260347685461563168624754284822446845251722384040678321823850713307553629905542123786293585191179065788758468502056721760749190186078599457615764502990804316646225152441353421813826107782333181277827792521427349296320578459617825853302282511775001835190443510549509215260018732062383486677474068932224135538650349785602346709391633471259836049035200398253411735054985875592543668229639030859183041377297371735576572192056796495630794089587978754903386877082201383431783516225508368166379290494938074925051713762065163103970725321245896512077316391042402950703726866305983505445003322198616101046752015472256496656317679298761595759469219278502986191852920138927291241383669165860138982824802577752849858963856411753845739994261928944584440160148336041818451073571277634574988975779715821722141833101522559627173066278796802980470935143173854272531120992784670975157970407402137166677432779993198670196560416639863579403214639684070703782523628687439101957093883606768840227149766108036301041996204922754832396354524061393707769676761057933402806584673282951485605028783738858683757560183922736992303033440654000434964481713080916070682571645808621575175175499624375811585250336303751277241086759787333067217278935883375992304032458417119166859703821176410781811260831462548876918052592337846066936809997282393004783498651499406647330383988768651828651912067278127107638240961734132569731963738399835793828773165176213145914089656932352679857203366069808039585523908384288893184312180569600651254101365197914481799008653101530442718679356701142399065805831763920124625766123553756110445979732114946739174946798200085887259647036104019465215841353314019393836623252603513177073168100531162629477582651689614220157977224644106727536520637749092605999876132353200254096880725888654924382358576640920538080945645728288486389487433492522848191260153494337286617584628806906728141379031242473526297585088360176802627937768665755484749921153625381755382564477908075142296826224817976710161459800562745131895074195404536205252325255705617618241254511469913592027869558074819559826614606767810834781976749798696234265617006107246302039805707558404642974944725322564}
23921 550340899516249401931938301029190405074344075085477999196542922549896246585712: {95668,502131,597775,717330,765152,836815,860796,1004178,1195450,1362243,1434540,1530176,1721448,1936629,2031415,2221491,2437698,2747695,2891779,3297234,3463615,4156338,4349618,4365831,4417615,4467991,5132695,5301138,5609215,6043411,6159234,6213740,6355538,6731058,6851551,6903343,7037815,7360892,7456488,8075834,8142739,8388549,8445378,9002383,9079340,9716311,9787930,9890695,10435123,10515560,10603015,10764919,10766451,10895208,11191431,11373068,11552215,11745516,11800178,11830005,11868834,12257109,12263695,12581071,12618672,12723618,13154023,13666796,13845811,13862658,13908631,14160243,14196006,14369138,14716434,15106015,15234802,15383228,15920623,16247240,16274343,16835791,17118471,17565765,17706415,18127218,18278145,18673378,18736816,18826591,19061743,19358695,19496688,19779730,19969532,20527340,20537695,20709139,20726972,20911625,21078918,21116108,21247698,21754051,21933774,21976040,22497151,22961978,23128424,23230434,23363215,23538778,23735676,23840391,24051130,24632808,24645234,24723045,24732428,25093950,25257634,25408471,26019477,26359298,26371248,26763843,26766880,26887015,26895130,27121615,27401612,27558583,27711909,27760243,28035858,28117682,28294015,28537399,28750351,28766431,28845543,28861356,29574271,29609960,29667654,29676711,29873750,30112740,32120256,32148019,32264418,32274156,32545938,32613945,33107191,33311205,33440695,33952818,34232691,34481276,34607695,34788208,35332040,35403788,35531952,35734952,35825911,35848500,36135288,36239815,36723571,36938695,37404415,37562563,37638643,37656140,38238400,38351811,38483276,38634981,38779496,38826125,38858732,38909491,38944279,38982338,39136734,39145160,39657490,39748545,39973446,40128834,40201821,40267783,40652199,40778263,41021431,41071930,41124415,41529234,41575891,41588695,41675551,42157039,42284815,42398448,42449331,42578371,43018200,43212415,43279123,43487778,43586899,43615891,43626933,44038305,44326434,44602615,44885298,45187368,45235034,45674119,45853154,45886080,45926191,45994025,46262258,46486111,46591350,46637602,46732591,46974192,47588988,47654565,47698254,48149571,48162451,48395475,48940658,48945152,49226215,49286316,49349298,49365543,49697440,49833619,49906434,50230754,50315852,50424823,50576840,50741778,50831536,50835789,51074983,51383731,51541711,51621840,51776071,51854898,51936825,51992695,52195251,52425619,52607276,52633843,52714172,52845966,52942471,53100031,53523138,53603815,53769490,54555583,54612291,55063296,55192830,55353343,55373948,55399280,55909620,56027554,56731625,56898945,57118568,57185478,57244243,57367093,57528034,58074570,58104211,58219231,58306508,58425415,58872352,59071458,59394130,59423043,59571319,59636928,59639023,59693613,60428803,60553545,60620871,60678818,60684151,60692208,60973951,61703336,61946208,62231059,62324190,62391234,62556751,62612931,62746519,63086611,63380743,63914215,64088738,64258389,64324578,64523388,64590448,64676108,65125544,65414311,65666959,65705750,65786311,66088940,66096098,66231396,66408730,66479136,67091544,67217218,67244743,67333015,68077950,68271871,68278734,68556711,69416253,69689484,69757868,70110498,71057743,71063825,71272956,71609971,71732661,71758220,72000968,72009751,72058138,72104215,72616480,72640652,72664254,73037239,73092871,73266237,73405330,73539583,73550851,73957058,74338412,74483359,74789028,74870911,75275215,75305960,75477987,76551596,76648243,76697058,77091439,78846900,79105640,79306728,79690476,79707331,79865954,80732179,80799618,81001089,81209228,81549682,81661231,81693540,81732634,81777490,81849351,81952990,82268791,82473331,82822652,83170330,83393215,83460008,84103360,84292015,84517351,84719205,84940743,85276590,85396025,85659799,85728751,85789772,85893938,86087695,86109864,86309431,86525058,86865843,87139776,87224434,87656815,87991436,88018311,88086396,88134434,88993845,89220069,89447695,89939971,90113714,90123730,90268039,90330258,90367152,90450679,90462476,90620805,90918034,90961696,91040503,91068943,91193228,91369543,91397338,91471831,91555340,91844674,92394440,92731065,93618098,93760831,93892509,94139336,94616280,94926768,95695615,95748343,95850643,96572311,96662192,96805471,96873597,96947311,97651123,98032248,98086642,98100739,98132988,98343588,98363695,98672552,98807815,98913136,99029815,99058611,99130892,99473695,99604543,99804396,...,2447901145387919542138879027929662476253735363858696388612682017409356473841260964308779191438272728204462498685352751711739225066810705006728588442469951861039761274768458107364475759987292401666714949994849902487198790965835211694443353172193602110369812566281358993748602601403732303729360723060483153877479415651245207371342569595909297184923498970117002522926039565510683804474181474759642132234823379566325885636930633759938851711593127271169265547564770367558996082686939213204579605810225269032931489552106222179750432288527424961492504520147086067178404817791135872346993131614099987198601993975902733142596054035536907401629032934523786128778780589434343841579961597596802102667023013507989512457657522024714522146064832025645202344674040539827878646144814387623663923441152809192133476184411139546136654713796978921893882990812175007383155231299504976459389190871168975097318603976958237166771161452242935348536532775099969382856877369024136198352676997555294499479965845432022062118504514839368294507178911920932453662763195769821560723479562313462023232395023700931354008580696801412540668749555355395676368568251589452938634845460504404403722779470817831834787927897015589837407058843826157977236979258149847887528387593897377453514248145044411740170278778463859751981567906958538337394829801307607857463899764357311643897668373432818836719607697061948048964073371352671473241142744610234422489953915816886308718025329969802644517184237957783027856708011668925639304568153049677147867350027557549102489325645565170102600017333209170102843082845854471973763837577794592769012181608729397189739328074442582458297048249646564554749577229293890521528192344752937131427233670267877583576061017482735776069961330444858313185679440377786768598683137702753085082641123785279117899186423646754486206474969337728662030132720739161673499771916741688782141023944480867689426738779953423767662502752785665265824263822890028098093575230016211103398336203307975524678403520064087450206889754073552800597380117602582478813388815502344458546288774562065946057603364858288085194743446191134381968132355080315623302075147675274338262552249568935742407112387577570643097744655956087981868844768115974586563604426055590299458975258167504983297924151570128023208384744984476518948142393639203828917754479287779380208390936862075503748790208474237203866629274788445784617630768609991392893416876660240222504062727676610356916451862483463669573732583212749652283839440759599418195204470706402714760781408796681489177006462736955611103205750016149169989798005294840624959795369104821959526106055673785443031158652935640825410153260340724649162054451562994307384132248594531786092090561654515141586900104209877009924427228407543175608288025636340275884105488454550160981000652446722569621374106023857468712932362762763249436563717377875504455626915861630139680999600825918403825063988456048687625678750289555731764616172716891247193823315377078888506769100405214995923589507175247977249109970995575983152977742977868100917190661457361442601198854597945607599753690743159747764319718871134485398529019785805049104712059378285862576433339776468270854400976881152047796871722698512979652295664078019035051713598598708747645880186938649185330634165668969598172420108762420197300128830889470554156029197823762029971029090754934878905269765609752150796743944216373977534421330236965836966160091304780956623638908999814198529800381145321088832982386573537864961380807121418468592432729584231150238784272286890230241505929926376943210360092212068546863710289446377632540265203941906652998633227124881730438072633073846716862112713445239337226965065242189700844117697842611293106804307878487883558426427361881767204870388041804337112229339739921910151716252172965124698044351398425509160869453059708561337606964462417087983846}
23922 552275893486830421266914815492723099385939524803196560377210518044753390790848: {119585,143502,263021,310817,525998,549677,669508,692897,956440,1026797,1075995,1147728,1265057,1291194,1338904,1506267,1793175,1816324,1912720,1958078,2121137,2151810,2244062,2295264,2453357,2582172,2595617,2961988,3250264,3542177,3656547,4241918,4249997,4297121,4396312,4811438,4945851,5095982,5519537,5541784,5821108,5941421,6232718,6234507,6524427,6923297,7068184,7389617,7767175,7933502,7951707,8212312,8216462,8459117,8499278,8783777,8974744,9015437,9201115,9238851,9320610,9533307,9941984,10096587,10539377,10861517,11038142,11041338,11184732,11260504,11349175,11504621,11881838,12113751,12162782,12237677,12668067,13144450,13619010,13845422,14015921,14216335,14355268,14526944,14681895,14684798,14696621,14921908,14964302,14968397,15194657,15660688,15773340,15825112,16342812,16394714,16638302,16682957,16824896,16916798,16964824,16997537,17059602,17083495,17618274,17700267,17803251,18029342,18307118,18483544,18880324,18928008,19010477,19085427,19229035,19621912,19811117,19899917,20237371,20299121,20309050,20343437,20500194,20793987,20963021,21139757,21294009,21360497,21553707,21629198,21699124,22074651,22824628,22852203,23074842,23381921,23421020,23557502,24037421,24169624,24255521,24299117,24370860,24381758,24429857,24961915,25659175,25908715,25995584,26252657,26299982,26395135,26641421,26857121,27190827,27287921,27392942,27470050,27546017,27665822,27760877,27932621,27938558,28010067,28105224,28330264,28910530,28960397,29045837,29245032,29429921,29472557,29669595,29843678,29954298,30439682,30791010,30915535,30959777,30973912,31090458,31129121,31268083,31618377,31647568,31674162,31787188,31871547,32353037,32647457,32843744,32860312,32900661,32964060,33235121,33363038,33402737,33458600,33932059,34252015,34280621,34442967,34692636,34739057,34845651,35161664,35247998,35279597,35308167,35603514,35685124,36076695,36108557,36949212,36967851,37012450,37016717,37098642,37381144,37574251,37633697,37640925,37886451,37928558,38453537,38460724,38481808,38729918,39529982,39538947,39556872,39568948,39595937,39796382,40043021,40150320,40342695,40448621,40594718,41102418,41257421,42053787,42176523,42464621,42827008,43019224,43032208,43101595,43292034,43394584,43425197,43485260,43510862,43704497,44063021,44165050,44254735,44414940,44420897,44477594,44501481,44668690,44810625,44830622,45094142,45095117,45169110,45270424,45451121,45490637,45643588,46409582,46672238,47070175,47375936,47798000,47983358,48104095,48180384,48197921,48396627,48411234,48474370,48506798,48548237,48573415,48818907,48931450,49208177,49904417,49943021,49978747,50334302,50367137,50594798,50929227,51135748,51513308,51518897,51633677,51721914,52092077,52182312,52414238,52435121,52998060,53105682,53297928,53505112,53602428,53611757,53709518,53772750,53951921,53990419,54140621,54202932,54226622,54291437,54366797,55372312,55516862,55605617,55774478,56484210,56516642,56531264,56599108,56984851,57357600,57503021,57724914,57830222,57835697,57872621,57983704,58086542,58169244,58278257,58288098,58473507,58705101,58717740,58854638,59101912,59110382,59159921,59486235,59745137,59847064,59960169,60193251,60249824,60255521,61018157,61126817,61181440,61607895,61669037,62101517,62121800,62293851,62632256,62783921,62894815,63000847,63106157,63177677,63221050,63435998,63451984,63539420,63587194,63597672,63641777,64199428,64527300,64700318,64879243,65205038,65231667,65660717,65715088,65759095,65766257,65799064,65820724,65892715,66152621,66362957,66489651,66541912,66715742,66817697,67327947,67340717,67655704,67719998,67781052,67852551,68221262,68450477,68554097,68604367,68779731,68829120,69071117,69139864,69217435,69249100,69277421,69311777,69393387,69471902,69586337,69593668,69887025,69956403,69997217,70220558,70461288,71324621,71364184,71383482,71398210,71547381,71663021,71962382,71966897,72034337,72816388,72841121,72883135,72954542,73027507,73410987,73417728,73590440,73929474,74023947,74374577,74546160,74672621,74859651,75346131,75464237,75473778,75825521,75865260,76112667,76120397,76247304,76349297,76805921,77001137,77129170,77293421,77432760,77782347,78263021,78552497,78584621,78761944,78777197,78910914,79071258,79103342,79230724,79268949,79515904,79591484,79735757,80078798,80284707,80654235,80738060,80827828,80845135,80922944,80939597,81406930,81537662,81725297,82194317,82371919,82594944,82611175,82789245,83060922,83098920,83188312,83233118,83467121,83483908,83775521,83864430,83957582,84041331,84579418,84970637,85335917,85677852,85760621,85766104,85778217,86031184,86213921,86292051,86338483,86548994,86665421,87111855,87115121,87197335,87294497,87459762,87682157,88127777,88308528,88386907,88607187,88638848,88754222,88925357,89091195,89189921,89230718,89455392,89532619,89600177,89697775,89804717,89950577,90001210,90212621,90386957,90419438,90770600,90800815,90893918,91018227,91038312,91196717,91408948,91541837,91604558,91799921,92555004,92794351,92797421,92919312,92923015,93334817,93480664,93486285,93586851,93728702,93813197,94132450,94651757,94735217,94763021,94799683,94929677,95030608,95643548,95689495,95841182,96133107,96252557,96486867,96614434,96785082,96885672,97009742,97014162,97069997,97476017,97688316,97772621,98175521,98407262,98558625,98882050,98984743,99133410,99144147,99347094,99613095,99718704,99769121,99799598,...,3671851718081879313208318541894493714380603045788044582919023026114034710761891446463168787157409092306693748028029127567608837600216057510092882663704927791559641912152687161046713639980938602500072424992274853730798186448752817541665029758290403165554718849422038490622903902105598455594041084590724730816219123476867811057013854393863945777385248455175503784389059348266025706711272212139463198352235069349488828455395950639908277567389690906753898321347155551338494124030408819806869408715337903549397234328159333269625648432791137442238756780220629100767607226686703808520489697421149980797902990963854099713894081053305361102443549401785679193168170884151515762369942396395203154000534520261984268686486283037071783219097248038467803517011060809741817969217221581435495885161729213788200214276616709319204982070695468382840824486218262511074732846949257464689083786306753462645977905965437355750156742178364403022804799162649954074285316053536204297529015496332941749219948768148033093177756772259052441760768367881398680494144793654732341085219343470193034848592535551397031012871045202118811003124333033093514552852377384179407952268190756606605584169206226747752181891845523384756110588265739236965855468887224771831292581390846066180271372217566617610255418167695789627972351860437807506092244701961411786195849646535967465846502560149228255079411545592922073446110057029007209861714116915351633734930873725329463077037994954703966775776356936674541785062017503388458956852229574515721801025041336323653733988468347755153900025999813755154264624268781707960645756366691889153518272413094095784608992111663873687445572374469846832124365843940835782292288517129405697140850505401816375364091526224103664104941995667287469778519160566680152898024706554129627623961685677918676848779635470131729309712454006592993045199081108742510249657875112533173211535916721301534140108169930135651493754129178497898736395734335042147140362845024316655097504304961963287017605280096131175310334631110329200896070176403873718220083223253516687819433161843098919086405047287432127792115169286701572952198532620473434953112721512911507393828374353403613610668581366355964646616983934131972803267152173961879845406639083385449188462887251257474946886227355192034812577117476714778422213590458805743376631718931669070312586405293113255623185312711355805799943912182668676926446152914987089340125314990360333756094091514915535374677793725195504360598874819124478425759161139399127292806706059604072141172113195022233765509694105433416654808625024223754984697007942260937439693053657232939289159083510678164546737979403461238115229890511086973743081677344491461076198372891797679138135842481772712380350156314815514886640842611314763412432038454510413826158232681825241471500978670083854432061159035786203069398544144144874154845576066813256683440373792445209521499401238877605737595982684073031438518125434333597646924259075336870790734973065618332760153650607822493885384260762871965873664956493363974729466614466802151375785992186042163901798281896918411399630536114739621646479578306701728097793529678707573657068089067428793864650009664702406281601465321728071695307584047769469478443496117028552577570397898063121468820280407973777995951248503454397258630163143630295950193246334205831234043796735643044956543636132402318357904648414628226195115916324560966301631995355448755449240136957171434935458363499721297794700571717981633249473579860306797442071210682127702888649094376346725358176408430335345362258894889565414815540138318102820295565434169566448810397805912859979497949840687322595657108949610770075293169070167859005840447597863284551266176546763916939660206461817731825337639641042822650807305582062706505668344009609882865227574378259447687047066527097638263741304179589562842006410446693625631975769}
23923 554217646845846377859909961739360519100937492816566190654769715457668758447674: {191336,215253,788997,836885,1004262,1171541,1195550,1434660,1530304,1673630,1721592,1936791,2008356,2270405,2390900,2724486,2843981,2869080,2937117,3060352,3227715,3366093,3417557,3442896,3702485,3846773,3873258,4062830,4442982,4849061,4875396,4993637,5280353,5495390,5783558,6184661,6362877,6594468,6927230,7142213,7185773,7217157,7276385,7643973,7715501,7852901,8312676,8699236,8731662,8835230,8935982,9349077,9623237,9852941,10265390,10602276,11218430,11290037,11482913,11900253,12086822,12318468,12324693,12427480,12711076,12722177,12748917,13462116,13703102,13806686,13846973,13980915,14061197,14075630,14721784,14844221,14912976,15013601,16151668,16173101,16285478,16437473,16557213,16562007,16777098,16890756,17018597,17169173,17822757,17944085,18004766,18158680,18244173,18652385,19432622,19575860,19716675,19781390,20428515,20710877,20768133,20870246,21031120,21148421,21206030,21304301,21529838,21532902,21790416,22027197,22382862,22446453,22746136,23104430,23491032,23594573,23600356,23600405,23660010,23737668,24474437,24514218,24527390,24592071,24788981,24957453,25162142,25237344,25375197,25447236,25589403,25598561,25709333,26308046,26427411,27044013,27102173,27123905,27333592,27460677,27691622,27725316,27817262,28320486,28392012,28530785,28738276,28752773,29276275,29432868,29576753,30028193,30212030,30463575,30469604,30750291,30766456,31841246,31999661,32150717,32443797,32494480,32548686,32708501,33053597,33671582,33726017,34236942,34612263,35131530,35336253,35412830,36254436,36348917,36556290,36572637,36726653,37346756,37473632,37641821,37653182,37970261,38123486,38717390,38993376,39449973,39467021,39559460,39611621,39733985,39939064,40005533,41054680,41075390,41089413,41205075,41418278,41453944,41498733,41823250,41907837,42157836,42160577,42232216,42339713,42495396,43365795,43508102,43590557,43867548,43952080,44606405,44765517,44931447,44994302,45064421,45659523,45923956,46025057,46186515,46256848,46295861,46460868,46578557,46635687,46726430,46736513,46816973,47077556,47471352,47511243,47680782,48075905,48102260,48166493,48450773,48479873,49265616,49290468,49446090,49461185,49464856,50044557,50187900,50319893,50355437,50515268,50735741,50816942,51546053,51714173,52014341,52038954,52366181,52718596,52742496,52871997,53405271,53527686,53533760,53774030,53790260,53902397,54243230,54301733,54356575,54803224,55117166,55423818,55518675,55520486,55647963,56071716,56161421,56235364,56588030,56892837,57054485,57074798,57500702,57532862,57574181,57691086,57722712,58094877,58109117,58224173,58318037,58894277,59047301,59148542,59170997,59198741,59219920,59294973,59335308,59353422,59694573,59747500,60225480,60497381,60892077,61653627,61865501,62443661,62477237,62751821,63919685,64240512,64296038,64318913,64391635,64528836,64548312,64938051,65091876,65227890,65266293,65791853,66214382,66247575,66622410,66716391,66881390,67003035,67245933,67641213,67753665,67905636,68147357,68465382,68605253,68668613,68916701,68962552,69215390,69440933,69576416,69614373,70008357,70664080,70748885,70807576,70837301,71063904,71469904,71651822,71697000,71717633,71975037,72270576,72479630,72616851,72711555,72760197,72789773,73397175,73447142,73525877,73545797,73557077,73877390,74154977,74808830,75045341,75125126,75277286,75312280,75501453,75892197,75958277,75963917,76476800,76703622,76966552,77269962,77558992,77582871,77652250,77717464,77818982,77888558,77964676,78273468,78290320,78621357,79314980,79424275,79497090,79658523,79946892,80249285,80257668,80403642,80535566,80564277,80659125,80851997,81251357,81304398,81339933,81556526,81795581,82042862,82143860,82248830,82275905,83058468,83151782,83177390,83275293,83351102,83661717,84314078,84569630,84726315,84774963,84796896,84898662,85102433,85156742,85378721,85735973,85858421,86036400,86316737,86424830,86558246,86561375,86587371,86745333,86923733,86975556,86992085,87129813,87173798,87231782,87253866,87432147,87533861,88076610,88281957,88563521,88652868,88665573,89205230,89479901,89770596,90374736,90458357,90470068,91020485,91348238,91706308,91772160,91852382,91988050,92174561,92524516,92972222,93182700,93275204,93465182,93948384,94199573,94266221,94831575,95153997,95177976,95309130,95380791,95396508,95410757,96299142,96324902,96493421,96580517,96790950,97050477,97226753,97807557,97881316,97890304,98452430,98572632,98698596,98731086,98742197,99038405,99394880,99394913,99489355,99667238,99812868,...,4895802290775839084277758055859324952507470727717392777225364034818712947682521928617558382876545456408924997370705503423478450133621410013457176884939903722079522549536916214728951519974584803333429899989699804974397581931670423388886706344387204220739625132562717987497205202807464607458721446120966307754958831302490414742685139191818594369846997940234005045852079131021367608948362949519284264469646759132651771273861267519877703423186254542338531095129540735117992165373878426409159211620450538065862979104212444359500864577054849922985009040294172134356809635582271744693986263228199974397203987951805466285192108071073814803258065869047572257557561178868687683159923195193604205334046027015979024915315044049429044292129664051290404689348081079655757292289628775247327846882305618384266952368822279092273309427593957843787765981624350014766310462599009952918778381742337950194637207953916474333542322904485870697073065550199938765713754738048272396705353995110588998959931690864044124237009029678736589014357823841864907325526391539643121446959124626924046464790047401862708017161393602825081337499110710791352737136503178905877269690921008808807445558941635663669575855794031179674814117687652315954473958516299695775056775187794754907028496290088823480340557556927719503963135813917076674789659602615215714927799528714623287795336746865637673439215394123896097928146742705342946482285489220468844979907831633772617436050659939605289034368475915566055713416023337851278609136306099354295734700055115098204978651291130340205200034666418340205686165691708943947527675155589185538024363217458794379478656148885164916594096499293129109499154458587781043056384689505874262854467340535755167152122034965471552139922660889716626371358880755573537197366275405506170165282247570558235798372847293508972412949938675457324060265441478323346999543833483377564282047888961735378853477559906847535325005505571330531648527645780056196187150460032422206796672406615951049356807040128174900413779508147105601194760235205164957626777631004688917092577549124131892115206729716576170389486892382268763936264710160631246604150295350548676525104499137871484814224775155141286195489311912175963737689536231949173127208852111180598917950516335009966595848303140256046416769489968953037896284787278407657835508958575558760416781873724151007497580416948474407733258549576891569235261537219982785786833753320480445008125455353220713832903724966927339147465166425499304567678881519198836390408941412805429521562817593362978354012925473911222206411500032298339979596010589681249919590738209643919052212111347570886062317305871281650820306520681449298324108903125988614768264497189063572184181123309030283173800208419754019848854456815086351216576051272680551768210976909100321962001304893445139242748212047714937425864725525526498873127434755751008911253831723260279361999201651836807650127976912097375251357500579111463529232345433782494387646630754157777013538200810429991847179014350495954498219941991151966305955485955736201834381322914722885202397709195891215199507381486319495528639437742268970797058039571610098209424118756571725152866679552936541708801953762304095593743445397025959304591328156038070103427197197417495291760373877298370661268331337939196344840217524840394600257661778941108312058395647524059942058181509869757810539531219504301593487888432747955068842660473931673932320182609561913247277817999628397059600762290642177665964773147075729922761614242836937184865459168462300477568544573780460483011859852753886420720184424137093727420578892755265080530407883813305997266454249763460876145266147693433724225426890478674453930130484379401688235395685222586213608615756975767116852854723763534409740776083608674224458679479843820303432504345930249396088702796851018321738906119417122675213928924834175967692}
23924 556166183052466138233650869960742387433147686211031323429887207513464318499207: {167419,239170,287004,310843,526042,621634,740683,883819,1051996,1099354,1339016,1385794,1506393,1598419,1793325,1912880,2053594,2151990,2295456,2311219,2510445,2530114,2582388,2677808,2988625,3012534,3586350,3589723,3632648,3731419,3825440,3873043,3916156,4086729,4242274,4297483,4303620,4488124,4590528,4906714,5164344,5191234,5809887,5923976,6094245,6500528,6664473,7084354,7313094,7809283,8243085,8483836,8499994,8594242,8645419,8675337,8792624,9622876,9891702,10191964,10390845,10874045,11039074,11083568,11642216,11882842,12465436,12469014,12881561,13048854,13097493,13252845,13403973,13846594,14136368,14289643,14697883,14779234,15398085,15534350,15647923,15867004,15888845,15903414,16424624,16432924,16827645,16864219,16918234,16998556,17402923,17537419,17567554,17949488,18030874,18130233,18402230,18477702,18641220,19066614,19679563,19883968,19902869,20189585,20193174,20345203,20554653,20710029,20876419,21078754,21113445,21723034,22076284,22082676,22369464,22521008,22698350,23009242,23763676,23916893,24227502,24301243,24325564,24428217,24469825,24475354,25165647,25336134,25475419,26288900,26920649,27007149,27238020,27690844,28031842,28432670,28710536,29053888,29148933,29363790,29369596,29393242,29475163,29500445,29672085,29843816,29928604,29936794,30389314,31131883,31305369,31321376,31546680,31650224,31809045,32018923,32294757,32299353,32685624,32789428,33028363,33276604,33280003,33365914,33574293,33649792,33833596,33929648,33995074,34119204,34166990,34533883,34656645,34946681,35236548,35400534,35490015,35606502,35922845,36058684,36153163,36272201,36614236,36771327,36791085,36953189,36967088,37743213,37760648,37856016,38020954,38087005,38170854,38458070,38865763,39243824,39355219,39462069,39622234,39799834,39843523,40452283,40474742,40598242,40618100,40686874,41000388,41059243,41301523,41537433,41587974,41725893,41926042,42279514,42480729,42508603,42588018,42720994,43107414,43258396,43281749,43398248,43588819,44149302,44405933,44901163,45318045,45494803,45649256,45704406,46149684,46558819,46683445,46763842,46842040,47115004,47761869,47952821,48074842,48339248,48511042,48598234,48741720,48763516,48785923,48823029,48859714,49449325,49923830,49947643,50507373,50641219,51318350,51355413,51817430,51991168,52363819,52505314,52599964,52697295,52790270,53119245,53282842,53714242,54381654,54575842,54785884,54834435,54940100,55092034,55331644,55521754,55865242,55877116,56020134,56210448,56320219,56479773,56660528,56878219,57185229,57404945,57545443,57821060,57878083,57920794,58076085,58091674,58490064,58541419,58846945,58859842,58945114,59202163,59339190,59687356,59908596,60127825,60188419,60342233,60879364,61582020,61613085,61831070,61919554,61947824,61956629,62127417,62180916,62258242,62536166,62734875,63144085,63236754,63295136,63348324,63433819,63574376,63743094,63968419,64706074,65262153,65294914,65687488,65720624,65801322,65898245,65928120,65983483,66455257,66470242,66614419,66726076,66805474,66917200,67237825,67345733,67491453,67864118,68002781,68284243,68504030,68561242,68595283,68885934,69112243,69318523,69385272,69478114,69627403,69691302,70089645,70294205,70323328,70495996,70559194,70616334,71207028,71370248,71521173,71771419,72153390,72217114,72680563,72881803,73783819,73898424,73935702,74024900,74033434,74169135,74197284,74680003,74684375,74762288,75148502,75267394,75281850,75772902,75857116,75911341,76225413,76675469,76846123,76907074,76921448,76963616,77333563,77459836,77722219,78058431,78592483,79059964,79077894,79113744,79137896,79191874,79592764,80086042,80291529,80300640,80600419,80661045,80685390,80897242,81189436,81364845,81451243,82204836,82514842,82675749,83135727,83280729,83506483,83770357,84107574,84353046,84796219,84882045,84929242,85612197,85654016,86038448,86064416,86203190,86251053,86252923,86299293,86524003,86536629,86584068,86614219,86789168,86850394,86970520,87021724,87154003,87408994,87512419,88052741,88126042,88330100,88509470,88722813,88757803,88829880,88841794,88955188,89002962,89030133,89337380,89621250,89638723,89661244,89726419,90188284,90190234,90338220,90540848,90902242,90981274,91287176,91551403,92062733,92249801,92819164,93344476,93935323,94140350,94751872,94773043,95596000,95966716,96208190,96360768,96395842,96444057,96793254,96822468,96904409,96917419,96948740,97013596,97096474,97146830,97455845,97637814,97810003,97841835,97862900,98416354,99143725,99321573,99808834,99886042,99933615,99957494,...,7343703436163758626416637083788987428761206091576089165838046052228069421523782892926337574314818184613387496056058255135217675200432115020185765327409855583119283824305374322093427279961877205000144849984549707461596372897505635083330059516580806331109437698844076981245807804211196911188082169181449461632438246953735622114027708787727891554770496910351007568778118696532051413422544424278926396704470138698977656910791901279816555134779381813507796642694311102676988248060817639613738817430675807098794468656318666539251296865582274884477513560441258201535214453373407617040979394842299961595805981927708199427788162106610722204887098803571358386336341768303031524739884792790406308001069040523968537372972566074143566438194496076935607034022121619483635938434443162870991770323458427576400428553233418638409964141390936765681648972436525022149465693898514929378167572613506925291955811930874711500313484356728806045609598325299908148570632107072408595058030992665883498439897536296066186355513544518104883521536735762797360988289587309464682170438686940386069697185071102794062025742090404237622006248666066187029105704754768358815904536381513213211168338412453495504363783691046769512221176531478473931710937774449543662585162781692132360542744435133235220510836335391579255944703720875615012184489403922823572391699293071934931693005120298456510158823091185844146892220114058014419723428233830703267469861747450658926154075989909407933551552713873349083570124035006776917913704459149031443602050082672647307467976936695510307800051999627510308529248537563415921291512733383778307036544826188191569217984223327747374891144748939693664248731687881671564584577034258811394281701010803632750728183052448207328209883991334574939557038321133360305796049413108259255247923371355837353697559270940263458619424908013185986090398162217485020499315750225066346423071833442603068280216339860271302987508258356995797472791468670084294280725690048633310195008609923926574035210560192262350620669262220658401792140352807747436440166446507033375638866323686197838172810094574864255584230338573403145904397065240946869906225443025823014787656748706807227221337162732711929293233967868263945606534304347923759690813278166770898376925774502514949893772454710384069625154234953429556844427180917611486753263437863338140625172810586226511246370625422711611599887824365337353852892305829974178680250629980720667512188183029831070749355587450391008721197749638248956851518322278798254585613412119208144282344226390044467531019388210866833309617250048447509969394015884521874879386107314465878578318167021356329093475958806922476230459781022173947486163354688982922152396745783595358276271684963545424760700312629631029773281685222629526824864076909020827652316465363650482943001957340167708864122318071572406138797088288289748309691152133626513366880747584890419042998802477755211475191965368146062877036250868667195293848518150673741581469946131236665520307301215644987770768521525743931747329912986727949458933228933604302751571984372084327803596563793836822799261072229479243292959156613403456195587059357415147314136178134857587729300019329404812563202930643456143390615168095538938956886992234057105155140795796126242937640560815947555991902497006908794517260326287260591900386492668411662468087593471286089913087272264804636715809296829256452390231832649121932603263990710897510898480273914342869870916726999442595589401143435963266498947159720613594884142421364255405777298188752693450716352816860670690724517789779130829631080276636205640591130868339132897620795611825719958995899681374645191314217899221540150586338140335718011680895195726569102532353093527833879320412923635463650675279282085645301614611164125413011336688019219765730455148756518895374094133054195276527482608359179125684012820893387251263951538}
23925 558121525646748195970060276023549992371844976186321854717076825830961479449037: {358755,382672,430506,789063,932451,1171639,1314995,1577994,1649031,1673770,2008524,2078691,2343082,2391100,2869320,3060608,3080391,3178567,3227985,3347260,3443184,3795171,3873582,4016712,4038931,4518801,4540810,4781800,4895195,5183479,5379525,5448972,5610155,5687962,5738160,5874234,5901571,6120704,6363411,6455430,6732186,6835114,6885792,7360071,7404970,7693546,7746516,7786851,8125660,8623207,8885964,9698122,9750792,9987274,10186939,10560706,10604795,10626531,10766723,10969641,10990780,11567116,11772347,12028595,12369322,12631991,12725754,12739955,12749991,12891363,13188936,13342771,13854460,14284426,14371546,14434314,14552770,14837553,15287946,15431002,15581795,15705802,15923291,16558611,16625352,16779907,17398472,17463324,17670460,17824263,17871964,18698154,18703521,19246474,19573281,19705882,19833755,20530780,20541155,20769891,21204552,21248195,21757703,22168851,22436860,22580074,22965826,23301525,23800506,23855121,24173644,24476491,24636936,24649386,24854960,25121719,25377351,25422152,25444354,25497834,26113339,26351331,26456243,26924232,27046311,27363979,27406204,27595355,27603345,27613372,27693946,27716553,27961830,28122394,28151260,28599921,29443568,29584643,29688442,29704595,29825952,30027202,30289761,30406955,31618131,32303336,32346202,32570956,32584551,32861125,32874946,33040567,33056371,33114426,33124014,33554196,33781512,34037194,34047525,34338346,34513863,34613555,35645514,35764327,35888170,36009532,36038147,36317360,36341253,36488346,36711995,36713031,37304770,37410755,37973467,38004201,38865244,38916023,39151720,39433350,39562780,39943099,40857030,40986785,41421754,41536266,41595755,41740492,42047763,42062240,42291995,42296842,42412060,42608602,42649005,42957811,43059676,43065804,43294019,43580832,43623239,44045685,44054394,44089863,44765724,44892906,44905191,45068203,45073355,45179123,45470471,45492272,45583971,45767795,46208860,46642843,46982064,47189146,47200712,47200810,47320020,47475336,48745211,48948874,49028436,49054780,49184142,49488679,49577962,49914906,50048871,50324284,50474688,50750394,50772625,50894472,50992611,51178806,51197122,51250485,51418666,51784763,52616092,52642679,52854822,53100801,53409753,53777539,54072995,54088026,54204346,54247810,54667184,54921354,55289723,55383244,55450632,55627579,55634524,56640972,56784024,57031431,57061570,57256281,57317891,57476552,57505546,57687105,58552550,58865736,58893755,59146439,59153506,59433351,59510971,59699751,60056386,60424060,60712113,60897363,60927150,60939208,60954395,61030311,61500582,61532912,61827611,62381961,62448967,62768647,62889063,63419271,63682492,63882027,63999322,64081491,64301434,64661121,64887594,64988960,65097372,65333543,65417002,65749955,66050087,66107194,66223953,66907571,67306267,67343164,67400699,67452034,68473884,68482355,68556609,68674411,68675125,69164555,69224526,69245659,69319643,69846395,70145763,70263060,70672506,70825660,72112263,72276325,72508872,72697834,72766563,72897351,73049603,73112580,73145274,73289571,73453306,73532071,73817267,74161243,74463251,74609195,74693512,74885745,74947264,75283642,75306364,75940522,76099205,76246972,76977525,77434780,77726145,77986752,78757971,78899946,78934042,79118920,79185405,79223242,79467970,79876279,79878128,79924263,80011066,80571363,80745863,80994803,81401531,81572481,81863763,82109360,82150780,82178826,82410150,82638051,82836556,82907888,82997466,83282631,83407595,83646500,83797863,83815674,84030201,84315672,84321154,84464432,84679426,84990792,86731590,86881191,86931091,87016204,87137511,87181114,87735096,87904160,88119995,88289763,88417671,89008785,89212810,89487559,89531034,89563163,89862894,89955239,89988604,90128842,90148289,91319046,91487363,91847912,92050114,92373030,92513696,92531125,92591722,92746605,92879331,92921736,93157114,93271374,93387363,93452860,93473026,93570679,93633946,93804249,94155112,94821395,94855131,94942704,95022486,95361564,95614641,96024331,96151810,96167147,96204520,96332986,96824795,96901546,96959746,97059111,97942371,98531232,98580936,98701983,98824955,98892180,98922370,98929712,99048439,99136103,99490955,99509387,99705363,...,11015555154245637939624955625683481143141809137364133748757069078342104132285674339389506361472227276920081244084087382702826512800648172530278647991114783374678925736458061483140140919942815807500217274976824561192394559346258452624995089274871209496664156548266115471868711706316795366782123253772174192448657370430603433171041563181591837332155745365526511353167178044798077120133816636418389595056705208048466485366187851919724832702169072720261694964041466654015482372091226459420608226146013710648191702984477999808876945298373412326716270340661887302302821680060111425561469092263449942393708972891562299141682243159916083307330648205357037579504512652454547287109827189185609462001603560785952806059458849111215349657291744115403410551033182429225453907651664744306487655485187641364600642829850127957614946212086405148522473458654787533224198540847772394067251358920260387937933717896312067250470226535093209068414397487949862222855948160608612892587046488998825247659846304444099279533270316777157325282305103644196041482434380964197023255658030410579104545777606654191093038613135606356433009372999099280543658557132152538223856804572269819816752507618680243256545675536570154268331764797217710897566406661674315493877744172538198540814116652699852830766254503087368883917055581313422518276734105884235358587548939607902397539507680447684765238234636778766220338330171087021629585142350746054901204792621175988389231113984864111900327329070810023625355186052510165376870556688723547165403075124008970961201965405043265461700077999441265462793872806345123881937269100075667460554817239282287353826976334991621062336717123409540496373097531822507346876865551388217091422551516205449126092274578672310992314825987001862409335557481700040458694074119662388882871885057033756030546338906410395187929137362019778979135597243326227530748973625337599519634607750163904602420324509790406954481262387535493696209187203005126441421088535072949965292512914885889861052815840288393525931003893330987602688210529211621154660249669760550063458299485529296757259215141862296383376345507860104718856595597861420304859338164538734522181485123060210840832005744099067893939850951802395918409801456521885639536219917250156347565388661753772424840658682065576104437731352430144335266640771376417230129895156795007210937759215879339766869555938134067417399831736548006030779338458744961268020375944971081001268282274544746606124033381175586513081796624457373435277277483418197381878420118178812216423516339585066701296529082316300249964425875072671264954091023826782812319079160971698817867477250532034493640213938210383714345689671533260921229245032033474383228595118675393037414407527445318137141050468944446544659922527833944290237296115363531241478474698045475724414502936010251563296183477107358609208195632432434622464536728200439770050321121377335628564498203716632817212787948052219094315554376303000792940772777226010612372204919196854998280460951823467481656152782288615897620994869480091924188399843400406454127357976558126491705394845690755234198891608344218864939438734920105184293380589036122720971204267202286381593950028994107218844804395965184215085922752143308408435330488351085657732711193694189364406460841223921333987853745510363191775890489430890887850579739002617493702131390206929134869630908397206955073713945243884678585347748973682898904895986066346266347720410871514304806375090499163893384101715153944899748420739580920392326213632046383108665947283129040176074529225291006036086776684668696244446620414954308460886696302508699346431193417738579938493849522061967786971326848832310225879507210503577017521342793589853653798529640291750818980619385453195476012918923128467952421916746188119517005032028829648595682723134778343061141199581292914791223912538768688526019231340080876895927307}
23926 560083698249917777566284151986038600186102572853776773259127764319678337184026: {334838,406453,478340,574008,621686,645759,1052084,1122313,1243268,1265269,1481366,1767638,2103992,2198708,2366991,2510655,2548633,2678032,2690869,2771588,2988875,3012786,3196838,3259093,3514623,3586650,3825760,4107188,4109269,4184075,4250713,4303980,4590912,4622438,5020890,5060228,5164776,5355616,5661193,5810373,5977250,6025068,6082933,6223369,6811215,6924469,7172700,7179446,7265296,7462838,7484053,7650880,7746086,7832312,8173458,8460553,8484548,8531943,8594966,8607240,8811351,8976248,9155893,9181056,9683145,9813428,10098279,10157075,10252671,10328688,10382468,10955353,11107455,11231113,11540319,11619774,11847952,11919253,12188490,13001056,13016533,13290133,13328946,13699993,13738475,13836469,13972873,14168708,14458895,14547183,14626188,14980911,15061513,15223663,15618566,15841059,16486170,16967672,16999988,17188484,17290838,17318075,17350674,17585248,18553983,18701653,19088631,19102873,19245752,19369993,19783404,19903369,20383928,20435593,20781690,21426639,21557319,21651471,21748090,21829155,21893269,22078148,22088075,22167136,22244383,22339955,22552969,22931919,23146503,23284432,23342233,23558703,23765684,23997973,24930872,24938028,25304053,25663475,25763122,26097708,26194986,26505690,26807946,26991193,27636853,27693188,27894613,28046075,28047231,28265419,28272736,28579286,28869711,29050969,29179093,29395766,29558468,29558823,29563033,30217055,30796170,31068700,31295846,31734008,31777690,31801583,31806828,32849248,32865848,33492469,33655290,33728438,33836468,33870111,33997112,34257755,34448739,34516715,34805846,34870153,35074838,35135108,35189075,35368969,35700759,35898976,36061748,36115033,36260466,36804460,36955404,36974079,37105753,37282440,37722613,38133228,38166531,38246751,38460469,39359126,39767936,39805738,40379170,40386348,40690406,40713695,40779913,41109306,41300623,41420058,41540919,41627893,41752838,41942745,42110869,42157508,42183591,42226890,42833173,43446068,43792213,44152568,44165352,44532663,44738928,45011915,45040803,45042016,45103369,45396700,45577993,46018484,46877269,47527352,47833786,48050869,48455004,48519303,48581555,48602486,48634969,48651128,48856434,48939650,48950708,49135559,49312419,49453475,49671639,49686021,49913653,50291983,50331294,50491993,50672268,50838133,50950838,51055791,51507519,52101769,52175615,52479739,52577800,52787353,53015075,53321807,53468271,53824595,53832255,53841298,54014298,54376969,54476040,54489973,54732519,55053913,55381688,55616053,55957155,56063684,56511733,56865340,57291673,57421072,57761075,58107776,58297866,58727580,58730773,58739192,58786484,58950326,59000890,59150025,59344170,59500633,59687632,59829493,59857208,59873588,60778628,61029769,61138453,61285545,61318475,62113369,62132631,62263766,62304399,62610738,62642752,62905355,63093360,63189769,63300448,63445263,63618090,63912903,64037846,64589514,64598706,64897033,65215093,65356823,65371248,65578856,65743753,65770115,66056726,66081591,66480853,66553208,66560006,66731828,67148586,67299584,67339359,67667192,67859296,67990148,68048473,68238408,68333980,69067766,69229055,69313290,69543155,69893362,70473096,70625173,70783719,70801068,70801215,70980030,71213004,71845690,71947273,72048469,72117368,72306326,72452533,72544402,73056469,73228472,73423311,73542654,73582170,73776213,73906378,73934176,74366943,74455573,74872359,75486426,75521296,75530075,75712032,76041908,76125591,76135513,76174010,76341708,76429813,76527769,76768209,76795683,76916140,77127999,77503369,77731526,78487648,78538031,78568213,78710438,78857113,78924138,79244468,79282233,79528693,79599668,79603115,79687046,79815433,79910869,80366923,80861269,80904566,80949484,81132039,81196484,81236200,81306519,81371715,81373748,81804469,82000776,82118486,82382031,82385723,82603046,83074866,83112853,83175948,83298613,83451786,83852084,84178955,84559028,84842087,84961458,85017206,85140373,85176036,85441988,85505269,85592355,86214828,86258319,86516792,86563498,86773333,86796496,86863369,87177638,87312469,87759769,87828825,88116313,88298604,88401719,88532075,88730259,88811866,89443093,89547623,89713403,89802326,90084579,90636090,90989606,91298512,91390725,91408812,91618393,92250873,92257543,92299368,93071893,93117638,93366890,93527684,93684080,94132955,94169353,94230008,94755253,95308715,95523738,95833993,95905642,95998983,96149684,96452151,96678496,96737269,96793475,97022084,97196468,97331391,97483440,97527032,97571846,97646058,97719428,98125503,98411887,98837653,98898650,99001331,99156469,99160791,99847660,99869593,99895286,...,14687406872327517252833274167577974857522412183152178331676092104456138843047565785852675148629636369226774992112116510270435350400864230040371530654819711166238567648610748644186854559923754410000289699969099414923192745795011270166660119033161612662218875397688153962491615608422393822376164338362898923264876493907471244228055417575455783109540993820702015137556237393064102826845088848557852793408940277397955313821583802559633110269558763627015593285388622205353976496121635279227477634861351614197588937312637333078502593731164549768955027120882516403070428906746815234081958789684599923191611963855416398855576324213221444409774197607142716772672683536606063049479769585580812616002138081047937074745945132148287132876388992153871214068044243238967271876868886325741983540646916855152800857106466837276819928282781873531363297944873050044298931387797029858756335145227013850583911623861749423000626968713457612091219196650599816297141264214144817190116061985331766996879795072592132372711027089036209767043073471525594721976579174618929364340877373880772139394370142205588124051484180808475244012497332132374058211409509536717631809072763026426422336676824906991008727567382093539024442353062956947863421875548899087325170325563384264721085488870266470441021672670783158511889407441751230024368978807845647144783398586143869863386010240596913020317646182371688293784440228116028839446856467661406534939723494901317852308151979818815867103105427746698167140248070013553835827408918298062887204100165345294614935953873391020615600103999255020617058497075126831842583025466767556614073089652376383138435968446655494749782289497879387328497463375763343129169154068517622788563402021607265501456366104896414656419767982669149879114076642266720611592098826216518510495846742711674707395118541880526917238849816026371972180796324434970040998631500450132692846143666885206136560432679720542605975016516713991594945582937340168588561451380097266620390017219847853148070421120384524701241338524441316803584280705615494872880332893014066751277732647372395676345620189149728511168460677146806291808794130481893739812450886051646029575313497413614454442674325465423858586467935736527891213068608695847519381626556333541796753851549005029899787544909420768139250308469906859113688854361835222973506526875726676281250345621172453022492741250845423223199775648730674707705784611659948357360501259961441335024376366059662141498711174900782017442395499276497913703036644557596509171226824238416288564688452780088935062038776421733666619234500096895019938788031769043749758772214628931757156636334042712658186951917613844952460919562044347894972326709377965844304793491567190716552543369927090849521400625259262059546563370445259053649728153818041655304632930727300965886003914680335417728244636143144812277594176576579496619382304267253026733761495169780838085997604955510422950383930736292125754072501737334390587697036301347483162939892262473331040614602431289975541537043051487863494659825973455898917866457867208605503143968744168655607193127587673645598522144458958486585918313226806912391174118714830294628272356269715175458600038658809625126405861286912286781230336191077877913773984468114210310281591592252485875281121631895111983804994013817589034520652574521183800772985336823324936175186942572179826174544529609273431618593658512904780463665298243865206527981421795021796960547828685739741833453998885191178802286871926532997894319441227189768284842728510811554596377505386901432705633721341381449035579558261659262160553272411281182261736678265795241591223651439917991799362749290382628435798443080301172676280671436023361790391453138205064706187055667758640825847270927301350558564171290603229222328250826022673376038439531460910297513037790748188266108390553054965216718358251368025641786774502527903076}
23927 562052724564644891415155310473842750395756895769887177740021469887869426383940: {502257,597925,717510,765344,861012,932529,1315105,1554085,1578126,1840993,1864902,2222049,2343278,2629990,2651457,2748385,3155988,3298062,3347540,3464485,4017048,4157382,4469113,4519179,4686164,4782200,4795257,5133985,5379975,5738640,6044929,6121216,6160782,6325285,6357134,6455970,6694520,6853273,6886368,6905077,6933657,7531335,7590342,7619953,7747164,7854217,8033424,8077862,8965875,9037602,9081620,9339817,9563600,9718753,9790390,10366958,10605685,10759050,10769169,10897944,11194257,11220310,11291929,11375924,11476320,11619129,11748468,11803142,12241408,12260187,12266785,12340273,12584233,12724309,12726822,12892449,12910860,12978085,13157329,13464372,13670228,13771584,14720142,14809940,14846713,15016117,15387092,15483193,15493032,15573702,16251320,16636693,16840033,17021449,17246414,17429661,17710885,17771928,17835937,18282735,19396244,19501584,19974548,19993419,20073829,20373878,21121412,21209590,21249985,21253062,21485605,21495157,21533446,21759529,21814513,21939282,21981560,23134232,23326633,23427849,23544694,24057190,24729255,24738644,25263982,25414873,25451508,25479910,25499982,25713649,25782726,25789417,25936257,26026011,26377872,26685542,26980129,27597685,27708920,27767257,28365973,28568852,28743092,28757617,28868628,29105540,29675106,29707105,29747473,30575892,30862004,31163590,31172535,31266469,31411604,31846582,32005033,32622135,33117222,33233233,33250704,33559814,33619897,34616485,34796944,34926648,34963669,35340920,35648526,35743928,36948085,37396308,37407042,38492948,38633497,38644683,38835875,38919289,38954113,39146562,39267637,39292479,39411764,39667510,39758535,40012249,40211919,40277929,41061560,41082310,41539782,41586433,42295585,42409104,42496390,42569737,42589129,42868929,43515406,43918885,44093649,44103253,44337702,44873720,45077185,45160148,45182929,45931652,46005575,46194255,46303633,46603050,46943769,47601012,47666535,47710242,48347288,48387433,48458977,48952982,49059793,49273872,49298772,49709920,50243438,50482935,50592657,50754702,50844304,50888708,50995668,51396793,51399073,51554737,51789109,52023073,52208769,52226678,52375057,52612257,52647097,52696885,52702662,52912486,53393509,53848464,54092622,54307585,54310849,54390699,54569329,54727958,54812408,55190710,55206690,55226744,55367317,55387892,55433106,55923660,56244788,56302520,56384569,56745875,57199842,57381499,57523105,57637513,58234057,58887136,59038689,59151433,59169286,59208793,59353057,59376884,59409190,59651904,59667553,59708607,60054404,60186613,60568755,60579522,60813910,61035609,61188385,61270849,61663959,62130087,62246833,62572513,62629257,63102697,63236262,63340335,63396757,64074913,64606672,64692404,65141912,65169102,65430793,65722250,65749892,65802937,66081134,66112742,66228852,66248028,66952213,67108392,67406377,67563024,68074388,68095050,68289073,68676692,69027726,69227110,69900337,70079605,71081675,71272309,71291028,71528654,71628049,71750679,71776340,72019064,72076294,72634720,72682506,72701089,72903729,72976692,73284651,73409475,73423990,73426062,73483105,73569529,74609540,74821510,74841985,74889817,74987137,75197029,75330193,75496941,75702193,75946934,75973285,76008402,76136929,76426257,76987429,77015593,77212369,77730488,77832046,78303440,78376693,78866700,78908113,79125560,79727593,79886198,80761947,81021447,81265129,81714060,81973570,82289713,82451257,82494169,82843508,83072532,83191510,83414785,83480984,84095526,84124480,84583990,84593684,84824120,84945769,84987685,85217204,85298010,85336153,85417475,85750417,85915622,86119352,86131608,86331349,86588038,87161664,87246478,87446799,88091370,88108788,88179726,88373113,88425489,88501335,88899493,89005009,89016255,89531448,89785812,89797417,89810382,90136406,90146710,90290833,90358246,90473713,90940942,90984544,91167942,91495129,91535590,92049937,92086069,92417720,93026593,93285686,93395649,93784597,93916107,93964128,94085353,94378292,94401424,94401620,94402453,94608853,94640040,94950672,95052385,95067313,95426929,95427135,95875297,96056769,96145175,96175273,96830377,96884271,96898059,96971893,97490422,97784953,97897748,98056872,98109560,98125753,98368284,98977358,99055585,99085089,99155924,99499585,99829812,99840009,...,22031110308491275879249911251366962286283618274728267497514138156684208264571348678779012722944454553840162488168174765405653025601296345060557295982229566749357851472916122966280281839885631615000434549953649122384789118692516905249990178549742418993328313096532230943737423412633590733564246507544348384897314740861206866342083126363183674664311490731053022706334356089596154240267633272836779190113410416096932970732375703839449665404338145440523389928082933308030964744182452918841216452292027421296383405968955999617753890596746824653432540681323774604605643360120222851122938184526899884787417945783124598283364486319832166614661296410714075159009025304909094574219654378371218924003207121571905612118917698222430699314583488230806821102066364858450907815303329488612975310970375282729201285659700255915229892424172810297044946917309575066448397081695544788134502717840520775875867435792624134500940453070186418136828794975899724445711896321217225785174092977997650495319692608888198559066540633554314650564610207288392082964868761928394046511316060821158209091555213308382186077226271212712866018745998198561087317114264305076447713609144539639633505015237360486513091351073140308536663529594435421795132813323348630987755488345076397081628233305399705661532509006174737767834111162626845036553468211768470717175097879215804795079015360895369530476469273557532440676660342174043259170284701492109802409585242351976778462227969728223800654658141620047250710372105020330753741113377447094330806150248017941922403930810086530923400155998882530925587745612690247763874538200151334921109634478564574707653952669983242124673434246819080992746195063645014693753731102776434182845103032410898252184549157344621984629651974003724818671114963400080917388148239324777765743770114067512061092677812820790375858274724039557958271194486652455061497947250675199039269215500327809204840649019580813908962524775070987392418374406010252882842177070145899930585025829771779722105631680576787051862007786661975205376421058423242309320499339521100126916598971058593514518430283724592766752691015720209437713191195722840609718676329077469044362970246120421681664011488198135787879701903604791836819602913043771279072439834500312695130777323507544849681317364131152208875462704860288670533281542752834460259790313590014421875518431758679533739111876268134834799663473096012061558676917489922536040751889942162002536564549089493212248066762351173026163593248914746870554554966836394763756840236357624432847032679170133402593058164632600499928851750145342529908182047653565624638158321943397635734954501064068987280427876420767428691379343066521842458490064066948766457190237350786074828815054890636274282100937888893089319845055667888580474592230727062482956949396090951448829005872020503126592366954214717218416391264864869244929073456400879540100642242754671257128996407433265634425575896104438188631108752606001585881545554452021224744409838393709996560921903646934963312305564577231795241989738960183848376799686800812908254715953116252983410789691381510468397783216688437729878877469840210368586761178072245441942408534404572763187900057988214437689608791930368430171845504286616816870660976702171315465422387388378728812921682447842667975707491020726383551780978861781775701159478005234987404262780413858269739261816794413910147427890487769357170695497947365797809791972132692532695440821743028609612750180998327786768203430307889799496841479161840784652427264092766217331894566258080352149058450582012072173553369337392488893240829908616921773392605017398692862386835477159876987699044123935573942653697664620451759014421007154035042685587179707307597059280583501637961238770906390952025837846256935904843833492376239034010064057659297191365446269556686122282399162585829582447825077537377052038462680161753791854614}
23928 564028628375323323099137474632338833344857597699090139841514100316341421288666: {263087,406487,454271,669676,693071,812906,956680,979367,1076265,1148016,1243372,1291518,1408271,1693847,2104168,2244626,2311607,2367189,2406527,2486536,2530538,2596271,2797353,2962732,3022727,3306671,3514917,3535276,3944985,3968087,4184425,4207984,4298207,4397416,4733982,4947093,5021310,5097266,5356064,5381738,5543176,5661671,5708567,5857705,5942927,5977750,6025572,6083447,6236073,6393676,6518186,7029246,7173300,7651520,8182607,8214376,8218538,8368150,8501426,8607960,8646887,8925071,9156671,9181824,9241173,9244876,9341807,9535701,9683955,9850271,10041780,10120456,10127207,10329552,10711232,11322386,11352025,11385513,11620746,11954500,12050136,12116793,12165866,12446738,13017647,13336847,13556403,13622430,13848938,14019527,14155847,14219905,14345400,14358892,14382887,14530592,14685585,14700407,14925676,14968106,15301760,15334271,15492172,15550437,15664624,15740927,16138575,16282127,16346916,16687271,16830465,16867127,16921106,16969096,17063886,17087785,17136671,17189932,17214480,17622702,17630087,17704713,17809271,17952496,18311786,18362112,18435407,18512425,18747887,19090233,19149071,19233865,19366290,19626856,19771847,20196558,20242453,20314150,20437367,20505342,20657376,20764936,20880047,20968487,21910706,22080213,22203287,22214910,22462226,22730567,23080638,23239548,23360553,23388047,23695904,23838506,24043727,24245305,24376980,24436271,24968185,25479887,25869621,26002112,26033066,26216327,26401765,26580266,26657892,26993567,27295127,27399986,27476950,27672938,27897071,27940007,27945746,28068767,28326071,28337416,28540271,28917790,28925327,29094366,29181671,29224367,29252376,29565647,29961822,30123026,30447326,30560817,30713687,30923305,31237132,31275937,31682118,31814385,31879593,32108927,32300169,32530007,32782271,32908923,32972340,33244007,33369767,33935344,33999976,34289807,34376968,34581676,34636150,34701348,34873271,35170496,35289071,35317041,35711065,35928865,36085785,36159647,36381925,36490367,36903047,37107966,37150271,37403306,37583689,37767071,37895973,38177262,38205746,38219865,38249973,38491504,38577505,38674089,38739986,39264505,39566808,39806738,40028313,40767856,40871186,41066687,41389727,41563380,41631671,41873327,42303877,42476207,42853278,42877127,43114638,43302942,43496180,43658310,43786538,43836071,44156296,44176150,44194487,44334272,44488766,44512659,44679910,45105938,45226271,45582167,45621671,45863838,46055687,46293006,46410071,46568864,46645967,46684466,46745385,47038487,47117406,47531368,47769873,47960857,47995946,48116185,48323401,49105487,49264705,49376807,49675833,49861744,49876056,49956887,50339721,50496671,50535167,50608106,50727527,51111647,51326950,51526244,51648071,51877487,52195416,52373567,52389972,52449767,52564007,53011380,53472789,53615892,53967047,53982386,54155807,54495071,54532727,54916213,55273706,55386376,55621271,55789226,56092150,56094462,56110563,56450185,56530838,56545472,56554271,56999173,57158572,57414565,57445247,57739422,58069297,58073567,58101938,58221071,58358186,58719843,58791532,58956671,59116936,59117646,59126066,59501265,60272687,60434110,60926807,61144271,61289087,61469927,61592340,61623465,62137400,62227271,62309673,62591692,62766071,63016681,63468016,63517367,63555380,63603166,63610885,63613656,63660071,63744585,64194071,64903271,64938647,65273109,65698496,65731696,65785271,65996207,66487271,66506553,66697247,66984938,67310580,67456876,67672936,67740222,67994224,68014177,68089727,68515510,68574071,68897478,69033430,69234865,69611692,69740306,69904575,69915047,70149676,70270216,70305985,70378150,70632071,70737938,71401518,71565363,71785487,71797952,71988071,72123496,72156671,72230066,72493271,72520932,72694847,72862607,73045861,73429473,73608920,73698407,73910808,73948158,74164271,74211506,74221105,74564880,74794007,74992271,75068005,75289127,75354433,75365157,75445226,75946487,76132053,76143071,76266456,76333062,76493502,76828847,76920938,77737727,77802407,78222047,78340017,78383087,78608207,78718252,79053993,79185287,79368729,79535872,79611476,79727927,80758340,80772696,80865505,81138933,81380812,81427390,81559826,81718727,82091937,82187365,82218612,82499927,82601246,82786065,82810035,82840116,82873127,83028287,83081838,83149659,83152271,83255786,83307071,83338007,83492567,83505676,83885490,84221738,84315016,84367182,84453780,85092985,85270847,85666346,85799763,85845865,85877807,86240447,86692127,86782247,86892136,87142007,87530447,87584426,88067497,88125407,88155071,88305136,88330704,88753929,89065326,89113785,89477856,89481671,89720425,90023830,90066071,90081606,90084032,90206738,90240767,90676247,90793400,90869283,91155986,91220865,91627967,91656671,92036968,92078161,92817673,92911727,93261925,93505271,93754538,94207271,94765271,94793087,94823509,94854393,95054704,95458271,95667572,96101738,96910008,96920677,96992447,97038606,97101071,97163110,97204972,97269938,97302256,97345007,97360417,97507271,97712868,97750127,97753653,97879300,97884767,97901416,98271118,98583375,98624838,98906950,99121701,99169113,99343278,99372042,99827306,99880367,...,33046665462736913818874866877050443429425427412092401246271207235026312396857023018168519084416681830760243732252262148108479538401944517590835943973344350124036777209374184449420422759828447422500651824930473683577183678038775357874985267824613628489992469644798346415606135118950386100346369761316522577345972111291810299513124689544775511996467236096579534059501534134394231360401449909255168785170115624145399456098563555759174498106507218160785084892124399962046447116273679378261824678438041131944575108953433999426630835895120236980148811021985661906908465040180334276684407276790349827181126918674686897425046729479748249921991944616071112738513537957363641861329481567556828386004810682357858418178376547333646048971875232346210231653099547287676361722954994232919462966455562924093801928489550383872844838636259215445567420375964362599672595622543317182201754076760781163813801153688936201751410679605279627205243192463849586668567844481825838677761139466996475742979538913332297838599810950331471975846915310932588124447303142892591069766974091231737313637332819962573279115839406819069299028118997297841630975671396457614671570413716809459450257522856040729769637026609710462804995294391653132692699219985022946481633232517614595622442349958099558492298763509262106651751166743940267554830202317652706075762646818823707192618523041343054295714703910336298661014990513261064888755427052238164703614377863527965167693341954592335700981987212430070876065558157530496130611670066170641496209225372026912883605896215129796385100233998323796388381618419035371645811807300227002381664451717846862061480929004974863187010151370228621489119292595467522040630596654164651274267654548616347378276823736016932976944477961005587228006672445100121376082222358987166648615655171101268091639016719231185563787412086059336937406791729978682592246920876012798558903823250491713807260973529371220863443787162606481088627561609015379324263265605218849895877538744657669583158447520865180577793011679992962808064631587634863463980749009281650190374898456587890271777645425586889150129036523580314156569786793584260914578014493616203566544455369180632522496017232297203681819552855407187755229404369565656918608659751750469042696165985261317274521976046196728313313194057290433005799922314129251690389685470385021632813277647638019300608667814402202252199495209644018092338015376234883804061127834913243003804846823634239818372100143526759539245389873372120305831832450254592145635260354536436649270549018755200103889587246948900749893277625218013794862273071480348436957237482915096453602431751596103480920641814631151143037069014599782763687735096100423149685785356026179112243222582335954411423151406833339633979767583501832870711888346090593724435424094136427173243508808030754689888550431322075827624586897297303867393610184601319310150963364132006885693494611149898451638363844156657282946663128909002378822318331678031837116614757590564994841382855470402444968458346865847692862984608440275772565199530201219362382073929674379475116184537072265702596674825032656594818316204760315552880141767108368162913612801606859144781850086982321656534413187895552645257768256429925225305991465053256973198133581082568093219382523671764001963561236531089575327671468292672663551739217007852481106394170620787404608892725191620865221141835731654035756043246921048696714687958199038799043161232614542914419125271497491680152305145461834699245262218742761176978640896139149325997841849387120528223587675873018108260330054006088733339861244862925382660088907526098039293580253215739815481548566185903360913980546496930677638521631510731052564028380769560961395588920875252456941858156359586428038756769385403857265750238564358551015096086488945787048169404335029183423598743878744373671737616306065578057694020242630687781921}
23929 566011433548350580197507485613081084799936199339195547638218658632989877649173: {23929,837095,1004514,1195850,1219359,1435020,1530688,1554215,1722024,1841147,1865058,1937277,2175719,2630210,3108170,3156252,3366939,3681986,3703415,3729804,3795807,3847739,4419095,4444098,4686556,4850279,4994891,5259980,5281679,5302914,5496770,6311976,6596124,6695080,6928970,7100973,7144007,7187579,7531965,7645899,7717439,7992095,8034096,8072607,8145467,8314764,8855399,8938226,8966625,9005399,9038358,9372328,9564400,9590514,9777279,10267970,10438619,10543869,10759950,11477280,11485799,11556095,12089858,12242432,12321564,12327807,12552225,12650570,12714268,12752139,12911940,13345007,13389040,13706546,13772736,13810154,13867314,14064731,14583959,14847959,14943125,15062670,15180684,15239906,15494328,15708434,16008047,16066848,16155724,16782719,16983579,17173499,17431119,17448239,17931750,17948615,18075204,18163240,18169319,18248799,18298319,18593951,18657095,18670107,18679634,19127200,19365215,19437506,19580780,20312519,20433645,20733916,20773407,21211370,21458231,21487415,21518100,21538338,21795888,22388514,22440620,22452159,22583858,22751848,22952640,23238258,23496936,23606284,24023999,24482816,24520374,24533570,24680546,24795239,25168466,25381659,25448618,25453644,25595829,25715807,25784898,25821720,25956170,26314658,26434053,26928744,27340456,27467679,27543168,27567839,29049435,29440284,29619880,29693426,29749679,29749979,30032234,30035759,30079847,30294837,30322247,30471225,30758013,30774184,30966386,30986064,31147404,31885607,32007719,32502640,32866059,33273386,33322365,33680066,33693339,34042898,34492828,34620957,34859322,35421770,35543856,35671874,35757759,35770331,36565470,37575179,38636759,38792488,39003168,39046415,39049599,39275639,39476987,39870399,39949096,39986838,40015607,40147658,40747756,41035247,41099979,41215425,41509407,41589947,41918619,42242824,42419180,42499970,42506124,42971210,42990314,43066892,43227095,43293659,43376685,43519058,43629026,43641549,43878564,43887359,43963120,44942733,45184539,45670989,46036679,46268464,46307519,46653266,46855698,47089388,47523177,48114380,48463079,49291871,49458510,49477288,49496987,50332607,50441759,50527964,50829746,50903016,50959820,50999964,51427298,51565452,51578834,51727319,51872514,51920891,51954225,52027439,52052022,52443227,52755744,53371084,53398007,53786567,53960258,54315407,54370225,55195370,55417840,55534514,55661949,56104959,56175599,56731946,57137704,57265893,57308619,57486184,57515234,57737256,58109979,58211080,58332731,59213819,59350212,59414210,59494946,59591327,59672591,59710107,60449099,60744359,60994487,61151784,61306779,61486439,61724008,61881119,62327180,62345070,62532938,62767727,62823208,63108059,63693164,64010066,64279917,64335119,64407805,64671957,64954413,65244270,65487465,65679807,66234444,66264225,66466466,66501408,66733149,67019865,67119628,67239794,67267391,67658907,68622539,68795757,69232970,69439509,69593888,69605399,69853296,69906239,69927338,70026699,70516199,70676109,70681840,70855199,71297052,71448215,71487856,71569607,71993919,73489415,73544459,73564439,73775639,73896170,74749007,74792616,74814084,75336539,75912159,75983099,76030619,76985896,76990425,77266994,77289366,77671750,77822039,77838578,77908226,78239615,78293124,78535274,78584958,78823528,79335020,79444225,79517070,80024498,80383031,80423838,80532347,80555858,80973579,82123120,82164620,82910559,83079564,83172866,83683839,84138225,84141693,84321095,84591170,84796257,84818208,84992780,85139474,85178258,85663739,85737858,86076251,86609133,86945807,87014615,87030812,87152907,87414767,87537279,87555959,87687095,87837770,88187298,88206506,88675404,88676469,88689099,89012507,89747440,89804999,89980007,90154370,90320296,90365858,90651165,90659879,91863304,92011150,92388510,92607266,93206100,93887538,94223519,95202024,95333070,95404749,95420484,95780591,96040607,96517787,96694576,96774866,96917954,96980087,97251479,97274687,97905964,98111447,98119586,98134091,98397815,98547744,98597544,99223919,99419840,99514345,...,44062220616982551758499822502733924572567236549456534995028276313368416529142697357558025445888909107680324976336349530811306051202592690121114591964459133498715702945832245932560563679771263230000869099907298244769578237385033810499980357099484837986656626193064461887474846825267181467128493015088696769794629481722413732684166252726367349328622981462106045412668712179192308480535266545673558380226820832193865941464751407678899330808676290881046779856165866616061929488364905837682432904584054842592766811937911999235507781193493649306865081362647549209211286720240445702245876369053799769574835891566249196566728972639664333229322592821428150318018050609818189148439308756742437848006414243143811224237835396444861398629166976461613642204132729716901815630606658977225950621940750565458402571319400511830459784848345620594089893834619150132896794163391089576269005435681041551751734871585248269001880906140372836273657589951799448891423792642434451570348185955995300990639385217776397118133081267108629301129220414576784165929737523856788093022632121642316418183110426616764372154452542425425732037491996397122174634228528610152895427218289079279267010030474720973026182702146280617073327059188870843590265626646697261975510976690152794163256466610799411323065018012349475535668222325253690073106936423536941434350195758431609590158030721790739060952938547115064881353320684348086518340569402984219604819170484703953556924455939456447601309316283240094501420744210040661507482226754894188661612300496035883844807861620173061846800311997765061851175491225380495527749076400302669842219268957129149415307905339966484249346868493638161985492390127290029387507462205552868365690206064821796504369098314689243969259303948007449637342229926800161834776296478649555531487540228135024122185355625641580751716549448079115916542388973304910122995894501350398078538431000655618409681298039161627817925049550141974784836748812020505765684354140291799861170051659543559444211263361153574103724015573323950410752842116846484618640998679042200253833197942117187029036860567449185533505382031440418875426382391445681219437352658154938088725940492240843363328022976396271575759403807209583673639205826087542558144879669000625390261554647015089699362634728262304417750925409720577341066563085505668920519580627180028843751036863517359067478223752536269669599326946192024123117353834979845072081503779884324005073129098178986424496133524702346052327186497829493741109109933672789527513680472715248865694065358340266805186116329265200999857703500290685059816364095307131249276316643886795271469909002128137974560855752841534857382758686133043684916980128133897532914380474701572149657630109781272548564201875777786178639690111335777160949184461454124965913898792181902897658011744041006253184733908429434436832782529729738489858146912801759080201284485509342514257992814866531268851151792208876377262217505212003171763091108904042449488819676787419993121843807293869926624611129154463590483979477920367696753599373601625816509431906232505966821579382763020936795566433376875459757754939680420737173522356144490883884817068809145526375800115976428875379217583860736860343691008573233633741321953404342630930844774776757457625843364895685335951414982041452767103561957723563551402318956010469974808525560827716539478523633588827820294855780975538714341390995894731595619583944265385065390881643486057219225500361996655573536406860615779598993682958323681569304854528185532434663789132516160704298116901164024144347106738674784977786481659817233843546785210034797385724773670954319753975398088247871147885307395329240903518028842014308070085371174359414615194118561167003275922477541812781904051675692513871809687666984752478068020128115318594382730892539113372244564798325171659164895650155074754104076925360323507583709228}
23930 568001164032408789817282255103386219069166169299608481919623173899613814145040: {310921,454309,526174,740869,812974,884041,908542,1027141,1339352,1386142,1456009,1506771,1625812,1741561,1793775,1913360,1958734,2152530,2296032,2311801,2454181,2486744,2583036,2797587,2816542,3387694,3732361,3874021,3945315,4208336,4489252,4623214,4662255,4734378,4813054,4973072,5004709,5061076,5192542,5522979,5594706,5709049,5858195,5925464,6045454,6574975,6613342,6666147,7029834,7070552,7252261,7811269,7889970,7936174,7950841,7954371,8200787,8229769,8245155,8368850,8415968,8596414,8647621,8786761,8794832,9467964,9894186,9897289,10042620,10174201,10194532,10393455,10712128,10727161,10763476,11086352,11323342,11417134,11692069,11715410,11885854,11955500,12051144,12166894,12472146,12787352,13036372,13407339,13557537,14058492,14346600,14385771,14429509,15303040,15380809,15401955,15892835,16139925,16365214,16428752,16437076,16736300,16868581,17002852,17003401,17215920,17293774,17541961,17850142,18134787,18213541,18313342,18363648,18482346,18489752,18683614,18975855,19071402,19367910,19700542,19817989,19907867,20083560,20194655,20217481,20240912,20254414,20559819,20659104,20715231,20800971,21147109,21422464,21544441,22205221,22594005,22644772,22704050,22771026,22859859,23127289,23241492,23562651,23909000,23922899,24100272,24233586,24331732,24438409,24475975,24893476,25612261,25917395,26035294,26261881,26673694,26897625,26927411,27112806,27244860,27555721,27697876,27942469,28019451,28039054,28050775,28311694,28439810,28690800,28717784,28765774,28970629,29061184,29156259,29226949,29371170,29400814,29507855,29851352,29936212,30603520,30668542,30984344,31100874,31140169,31329248,31481854,31520869,31817055,32153929,32277150,32307507,32532901,32564254,32693832,33288901,33374542,33414649,33582771,33660930,33734254,33842212,33875787,33938192,33943427,34127772,34175570,34273342,34379864,34428960,34668169,34857387,34955459,35245404,35260174,35409426,35618542,35904992,36286981,36623572,36724224,36780561,36800355,36870814,36906361,36962471,37020819,37024850,37495774,37752699,38172927,38180466,38298142,38467730,38631049,38677347,38732580,38934255,38998789,39253712,39365881,39471987,39488101,39543694,39854329,40393116,40484906,40628300,40874734,41010684,41191621,41314752,41433829,41529872,41760094,41936974,42520201,43116035,43292627,43600741,43720441,43821412,44160426,44406574,44417087,44429820,44540139,44924452,45048351,45461134,45625849,46099321,46161276,46449579,46453669,46479096,46689541,46721106,46776094,47391808,47395429,47677012,47864581,48087454,48490610,48753960,48872542,49148809,49381369,49910079,49936370,49995491,50300411,50520099,50539849,50934695,50959774,51064347,51116389,51739242,52004224,52066132,52288983,52378441,52432654,52803530,53023975,53132655,53160532,53315784,53507811,53833615,53987134,54008507,54311749,54537829,54590254,54799972,54848205,54953900,54970307,55345876,55776121,55794142,55880014,55891492,56137534,56336101,56652142,56674832,57005701,57080542,57672709,57835580,57850654,58188732,58363342,58448734,58504752,58558021,58861735,58998949,59131294,59923644,59980257,60142975,60221487,60246052,60894652,61121634,61294921,61427374,61846610,62269189,62474264,62551874,62807929,63159955,63364236,63628770,63699775,63749955,63759186,64217854,64456815,64485471,64600338,64900979,64944889,65060014,65278587,65443539,65564542,65817846,65944680,66002569,66107941,66488014,66713855,66739534,67362659,67870688,67999952,68407909,68579614,68615269,68627351,68753936,68970587,69163352,69272300,69402696,69746542,69979899,70283547,70340992,70578142,70634082,71422130,71488069,71857730,72171570,72197449,72319294,72701989,72763850,72903301,72980734,73305061,73806094,73905541,74187765,74215932,74300542,74801401,74806612,75167378,75534142,75791946,75986809,76244619,76354524,76411492,76439730,76499946,76869061,76983008,77140947,77155010,77348178,77368251,77479972,77808771,77908975,78078033,78229861,78423109,78529010,79030259,79133616,79193221,79613476,79616455,79767781,80056626,80380391,80940387,81475909,81535712,81742372,81758329,82133374,82133881,82508281,82779454,82793055,83126760,83263342,83301771,83346469,83531941,83746654,83791411,83899535,84607754,84822181,84952414,85097919,85706556,85754254,86229276,86272851,86279461,86550649,86605884,86640901,86992360,87180901,87316620,87539461,87573076,87628921,87672142,88164169,88312592,88352300,88388974,88668544,88873801,88977532,89025318,89055239,89121315,89226889,89242419,89359820,89754361,89842021,90211876,90452542,90714661,91164334,91243342,91666249,91727676,92111374,92586012,92694409,92820142,93137728,93291934,93368932,93490770,93517605,93799407,93965029,94049161,94076974,94234812,94803109,95062736,95539746,95921714,95991892,96015099,96232370,96646802,96928811,97866405,98210974,98428379,98529410,98753614,99168775,99351666,99363301,99699699,99723488,99752112,99913774,...,66093330925473827637749733754100886858850854824184802492542414470052624793714046036337038168833363661520487464504524296216959076803889035181671887946688700248073554418748368898840845519656894845001303649860947367154367356077550715749970535649227256979984939289596692831212270237900772200692739522633045154691944222583620599026249379089551023992934472193159068119003068268788462720802899818510337570340231248290798912197127111518348996213014436321570169784248799924092894232547358756523649356876082263889150217906867998853261671790240473960297622043971323813816930080360668553368814553580699654362253837349373794850093458959496499843983889232142225477027075914727283722658963135113656772009621364715716836356753094667292097943750464692420463306199094575352723445909988465838925932911125848187603856979100767745689677272518430891134840751928725199345191245086634364403508153521562327627602307377872403502821359210559254410486384927699173337135688963651677355522278933992951485959077826664595677199621900662943951693830621865176248894606285785182139533948182463474627274665639925146558231678813638138598056237994595683261951342792915229343140827433618918900515045712081459539274053219420925609990588783306265385398439970045892963266465035229191244884699916199116984597527018524213303502333487880535109660404635305412151525293637647414385237046082686108591429407820672597322029981026522129777510854104476329407228755727055930335386683909184671401963974424860141752131116315060992261223340132341282992418450744053825767211792430259592770200467996647592776763236838070743291623614600454004763328903435693724122961858009949726374020302740457242978238585190935044081261193308329302548535309097232694756553647472033865953888955922011174456013344890200242752164444717974333297231310342202536183278033438462371127574824172118673874813583459957365184493841752025597117807646500983427614521947058742441726887574325212962177255123218030758648526531210437699791755077489315339166316895041730361155586023359985925616129263175269726927961498018563300380749796913175780543555290851173778300258073047160628313139573587168521829156028987232407133088910738361265044992034464594407363639105710814375510458808739131313837217319503500938085392331970522634549043952092393456626626388114580866011599844628258503380779370940770043265626555295276038601217335628804404504398990419288036184676030752469767608122255669826486007609693647268479636744200287053519078490779746744240611663664900509184291270520709072873298541098037510400207779174493897801499786555250436027589724546142960696873914474965830192907204863503192206961841283629262302286074138029199565527375470192200846299371570712052358224486445164671908822846302813666679267959535167003665741423776692181187448870848188272854346487017616061509379777100862644151655249173794594607734787220369202638620301926728264013771386989222299796903276727688313314565893326257818004757644636663356063674233229515181129989682765710940804889936916693731695385725969216880551545130399060402438724764147859348758950232369074144531405193349650065313189636632409520631105760283534216736325827225603213718289563700173964643313068826375791105290515536512859850450611982930106513946396267162165136186438765047343528003927122473062179150655342936585345327103478434015704962212788341241574809217785450383241730442283671463308071512086493842097393429375916398077598086322465229085828838250542994983360304610290923669398490524437485522353957281792278298651995683698774241056447175351746036216520660108012177466679722489725850765320177815052196078587160506431479630963097132371806721827961092993861355277043263021462105128056761539121922791177841750504913883716312719172856077513538770807714531500477128717102030192172977891574096338808670058366847197487757488747343475232612131156115388040485261375563842}
23931 569997843858746552069181879827483047240071182176286159008474785054184014101593: {47858,789261,1171933,1219461,1362813,1674190,2009028,2032265,2079213,2175901,2391700,2438718,2870040,2892989,2938101,3061376,3108430,3228795,3444048,3682294,3730116,3874554,4224813,4351438,5081541,5184781,5260420,5611565,5903053,6186733,6216340,6312504,6326345,6733878,6934821,7101567,7219581,7363972,7406830,7459608,7591614,7695478,7788813,8392059,8625373,8838190,8888196,9068181,9373112,9626461,9700558,9920013,9989782,10519960,10544751,10563358,10605828,10769429,10993540,11188933,11834955,11904261,12342341,12553275,12623952,12743165,12894621,13192248,13390160,13454345,13857940,14201946,14288014,14375158,14841279,14944375,15063930,15291798,15434878,15927293,15984190,16068192,16145214,16178533,16290934,16295465,16629528,16639481,16985013,17125701,17573115,17710798,17828781,17876452,17933250,18010798,18076716,18250341,18708219,18744656,18918601,19128800,19181028,19500973,19554558,20077193,20535940,20546345,20877238,20920375,21087738,21253565,21519900,22938109,22954560,22971598,23112190,23330549,24179716,24484864,24547821,24643128,24655614,25104450,25128061,25301140,25428536,25504278,25823880,25940661,26119933,26462909,26690014,26775213,26778080,27111301,27413092,27470013,27545472,27620308,27723519,27734628,28025421,28027901,28129462,28305965,28607103,29051865,29167918,29550813,29695918,29886250,30082381,30125340,30361368,30381621,30414665,30479812,30988656,31116845,31416868,31801381,32016094,32133696,32311448,32660233,33565438,33625541,33967158,34056075,34156539,34279949,34346998,34622345,34862238,34896478,35773333,35863500,35897230,36150408,36326480,36338638,36350379,36497598,36596638,37187902,37314190,37340214,37359268,37420265,38254400,38730430,38875012,39052941,39161560,40010541,40625038,40669209,40867290,40886921,41467832,41546814,42058581,42302765,42422740,42467541,42659715,42916462,42974830,43036200,43076676,43148661,43591776,43634261,44056755,44101221,44777028,44881240,44904318,45167716,45190541,45503696,45721721,45779465,45905280,46002813,46476516,46651311,46654621,46746029,46993872,47212568,47222781,48047998,48415725,48496201,48757493,48846381,48965632,49040748,49067140,49068029,49361092,49501141,49590478,50061813,50336932,50491395,50601381,50763318,50785375,50897236,50907288,51191658,51263355,51410013,51431614,51569796,51643440,51912340,52629316,52868106,52890261,53114139,53427813,53791081,53857488,53920501,54664981,54680912,54776765,54935358,55086336,55135678,55306221,55537275,56155565,56243661,57270699,57332333,57447213,57647189,57701595,58098870,58574261,58880568,59067133,59239760,59315541,59363021,59386852,59499358,59499958,59596265,60064468,60071518,60159694,60517933,60589674,60644494,60709781,60727359,60942450,61312101,61361053,61461353,61516026,61548368,61932772,61972128,62294808,62498221,62640141,62784493,62905461,63771214,64015438,65005280,65082665,65350109,65732118,66240639,66450665,66546772,66609861,66644730,66895301,67360132,67386678,67417733,68085796,68170309,68191701,68499965,68692375,68985656,69182345,69241914,69337109,69713129,69718644,69822281,69864365,70081659,70164141,70522153,70843540,71087712,71343748,71515518,71540662,72131181,72294475,72735915,73130940,73308813,74180041,74482013,74904555,75150358,75307565,76118315,76149821,76439661,77273518,77584976,77608863,77956553,78006336,78092830,78099198,78551278,78648981,78953974,79205295,79463981,79740798,79898192,79973676,80031214,80295316,80766389,80980701,81495512,81885381,82070494,82199958,82303661,82430850,82893053,83018814,83179894,83691213,83820021,83837238,84206301,84485648,84838360,84978213,84999940,85012248,85620813,85942420,85980628,86133784,86454190,86587318,86590375,86753370,86775981,86849849,86977573,87038116,87258052,87283098,87545013,87673101,87757128,87774718,87926240,88696941,89885466,90170927,90369078,91189181,91341978,91408133,91510661,91682451,92073358,92141061,92536928,92615038,92769915,92847701,93042389,93306532,93508265,93594301,93711396,93827811,94178776,95046354,95443155,95514365,95638779,96228760,96326781,96849965,96900507,96926158,97590021,98346813,98510249,98583742,98726769,98917020,98954576,98993974,99161381,99516845,99702389,99732021,...,99139996388210741456624600631151330288276282236277203738813621705078937190571069054505557253250045492280731196756786444325438615205833552772507831920033050372110331628122553348261268279485342267501955474791421050731551034116326073624955803473840885469977408934395039246818405356851158301039109283949567732037916333875430898539374068634326535989401708289738602178504602403182694081204349727765506355510346872436198368295690667277523494319521654482355254676373199886139341348821038134785474035314123395833725326860301998279892507685360710940446433065956985720725395120541002830053221830371049481543380756024060692275140188439244749765975833848213338215540613872090925583988444702670485158014432047073575254535129642000938146915625697038630694959298641863029085168864982698758388899366688772281405785468651151618534515908777646336702261127893087799017786867629951546605262230282343491441403461066808605254232038815838881615729577391548760005703533445477516033283418400989427228938616739996893515799432850994415927540745932797764373341909428677773209300922273695211940911998459887719837347518220457207897084356991893524892927014189372844014711241150428378350772568568122189308911079829131388414985883174959398078097659955068839444899697552843786867327049874298675476896290527786319955253500231820802664490606952958118227287940456471121577855569124029162887144111731008895983044971539783194666266281156714494110843133590583895503080025863777007102945961637290212628196674472591488391835010198511924488627676116080738650817688645389389155300701994971389165144855257106114937435421900681007144993355153540586184442787014924589561030454110685864467357877786402566121891789962493953822802963645849042134830471208050798930833433883016761684020017335300364128246667076961499945846965513303804274917050157693556691362236258178010812220375189936047776740762628038395676711469751475141421782920588113662590331361487819443265882684827046137972789796815656549687632616233973008749475342562595541733379035039978888424193894762904590391942247027844950571124695369763670815332936276760667450387109570740942469709360380752782743734043480848610699633366107541897567488051696891611045458658566221563265688213108696970755825979255251407128088497955783951823565928138590184939939582171871299017399766942387755071169056411155064898439832942914057901826003443206606756598485628932054277014046128704651412183383504739729011414540470902719455116300430580278617736169620116360917495497350763776436905781063609309947811647056265600311668761740846702249679832875654041384586819214441045310871712448745289360807295254788310442761925443893453429111207043799348291063205288301269449057356068078537336729667747007863234269454220500018901939302750505498612135665038271781173306272282409281519730526424092264069665651293966227482873760691891911602180830553803957930452890092396020657080483833449695354915091532469971848839989386727007136466954995034095511349844272771694984524148566411207334905375040597543078588953825320827317695598590603658087146221789023138425348553611216797107790024475097969784454948614280946658640425301325104488740838404820577434345550260946964969603239563686657935773304769289775675917974395159770919594400743247704279658147571015292005890683709593268725983014404878017990655217651023557443319182511862362213826678175574862595663425507194962107268129740763146090144063874597116397129483697843628743257375814492475040456915436385504097735786656228283530935922688417447977993525548161361584670763027619054324780990162018266200019583734588776147980266722578294117880740759647219446444645698557710082741941639490792032915564894532193157692085142308682884186766762625757370825574469078759284116270308156211571797250715693075653045288259466837361144508213005087550270796231636233121015212848918196734173082060727892063345763}
23932 572001497141461752720741137181765842977376453777098173085567511005375594215824: {71787,549907,621842,908618,1052348,1265587,1408507,1481738,1625948,1768082,1817084,2054282,2406931,2511285,2678704,2691547,2772284,2912018,2989625,3013542,3117931,3251624,3483122,3587550,3658077,3826720,3917468,4251787,4305060,4534531,4592064,4623602,4662645,4908362,4973488,5166072,5523441,5595174,5633084,5811831,6224947,6365347,6527157,6575525,6775388,7464722,7748042,7770425,7890630,8201473,8416672,8978504,9019267,9204965,9246428,9324510,9435931,9468756,9626108,9946144,10009418,10100817,10122152,10385084,11045958,11110245,11189412,11387421,11418098,11543217,11716390,11850928,12090908,13149950,13156747,13226684,13257285,13332294,13741925,13840027,13976467,14059668,14141104,14504522,14550837,14929531,14984673,15201187,15622538,15779940,15845037,15872348,15901682,15908742,16401574,16459538,16490310,16737700,16831936,17192828,17229427,17295242,17322425,17573522,17589664,17901907,18935928,19788372,19794578,20085240,20348402,20389064,20786910,20972131,21302919,21369787,21424256,21432021,21454322,21526952,21562737,22172704,22249969,22295131,22345565,22595895,22646684,22834268,22937697,23152317,23384138,23430820,23610931,23771708,23911000,23976285,24102288,24217821,24266131,24333788,24436401,24944292,25574704,25669925,26072744,26480347,26566197,26814678,26868931,26899875,27016197,27115074,27127627,27773107,28116984,28272517,28693200,28771542,28859018,29186827,29331837,29826547,30224645,30606080,30719131,30761618,30803910,31315857,31626425,31631607,31785670,31809569,32279850,32619931,32730428,32857504,32874152,33472600,33627067,33737162,34005704,34006802,34128907,34266365,34431840,34457397,34525385,34587548,34668285,35083922,35378467,35700284,36269574,36284353,36427082,36626684,36727296,36964692,36979504,36983421,37367228,37656675,37951710,38099765,38142804,38256417,38735820,39271085,39401084,39635978,39815734,40035021,40167120,40304707,40389310,40434962,40481824,40508828,41119638,41310997,41318208,41430462,41601942,41880931,42194193,42294218,42844928,43088882,43751877,43923787,44410442,44543877,44639827,44829375,45188010,45234547,45289544,45408100,45471931,45542052,45719718,46064131,46254578,46418587,46482984,46699085,47125302,47818000,47845798,48024141,48200544,48467172,48593765,48663464,48876818,48951950,49147901,49786952,50348157,50390467,50950737,51224522,51520497,51834790,51887131,52070588,52293357,52344717,52459531,52492921,52523762,53028425,53347388,53795250,53845845,53854822,54165931,54225612,54489720,54505267,54507957,54746397,54894957,55111442,55294531,55395752,55631707,55781853,55884938,55971285,56010321,56038902,56078108,56101550,56459645,56623388,56639347,56879620,57381600,57435568,57530131,57531548,57941258,58084531,58095645,58122368,58305787,58312518,58453898,58742340,58801628,58967827,59015710,59702704,59872424,59956027,60362449,60937557,61155907,61207040,61300935,61333925,61337084,61701365,61968688,62201748,62239147,62280338,62320221,62658496,62921165,62963708,62993131,63041738,63621545,63634110,64277467,64307858,64374693,64462245,64554300,64615014,64890425,65065802,65128508,65387664,65786645,66477521,66577802,66749084,66829298,67165542,67233931,67321860,67356477,67468508,67684424,67751574,67876384,67886854,68255544,68351140,68546684,68759728,68857920,69336338,69620227,69714774,69910918,70490808,70520348,70645867,70818852,71237084,71308573,71359531,71809984,72069667,72071997,72170827,72573962,73247144,73448448,73561122,73600710,73741628,73812722,73924942,74041638,74049700,74233565,74378131,74385717,74874931,74991548,75080585,75367061,75505398,75936773,76144977,76345854,76360932,76550587,76596284,76701157,76787487,76935460,77147421,77262098,77354694,77415965,77465160,77817931,77868510,77997578,78302131,78507424,78731762,78943974,78976202,79087388,79302159,79708658,79934947,80030347,80786232,80969812,80980387,81169531,81256600,81749468,81923227,82021368,82383242,82403037,82406429,82629504,82703517,82867658,83059744,83183465,83520188,83873948,83972131,84200165,85040402,85107245,85166467,85531507,85804531,86232070,86585254,86890147,87148305,87201482,87440882,87642824,88320852,88423937,88554425,88813148,88834174,88859640,89080278,89179685,89249037,89249937,89558827,89570129,89848904,89997307,90096702,90107277,90239541,90695131,90884511,90922268,90966741,91128931,91251698,91413675,91733227,92198642,92274039,92322552,92899158,92907338,92958192,93379082,93399397,93442212,93524947,93552188,93693931,94283107,94783616,94790858,94952131,95354024,95656821,95729162,96023157,96174908,96981220,97257427,97507920,97745084,97824931,98228131,98297618,98598177,98762738,99026213,99820158,99872740,99967095,99980827,99990982,...,132186661850947655275499467508201773717701709648369604985084828940105249587428092072674076337666727323040974929009048592433918153607778070363343775893377400496147108837496737797681691039313789690002607299721894734308734712155101431499941071298454513959969878579193385662424540475801544401385479045266090309383888445167241198052498758179102047985868944386318136238006136537576925441605799637020675140680462496581597824394254223036697992426028872643140339568497599848185788465094717513047298713752164527778300435813735997706523343580480947920595244087942647627633860160721337106737629107161399308724507674698747589700186917918992999687967778464284450954054151829454567445317926270227313544019242729431433672713506189334584195887500929384840926612398189150705446891819976931677851865822251696375207713958201535491379354545036861782269681503857450398690382490173268728807016307043124655255204614755744807005642718421118508820972769855398346674271377927303354711044557867985902971918155653329191354399243801325887903387661243730352497789212571570364279067896364926949254549331279850293116463357627276277196112475989191366523902685585830458686281654867237837801030091424162919078548106438841851219981177566612530770796879940091785926532930070458382489769399832398233969195054037048426607004666975761070219320809270610824303050587275294828770474092165372217182858815641345194644059962053044259555021708208952658814457511454111860670773367818369342803927948849720283504262232630121984522446680264682565984836901488107651534423584860519185540400935993295185553526473676141486583247229200908009526657806871387448245923716019899452748040605480914485956477170381870088162522386616658605097070618194465389513107294944067731907777911844022348912026689780400485504328889435948666594462620684405072366556066876924742255149648344237347749627166919914730368987683504051194235615293001966855229043894117484883453775148650425924354510246436061517297053062420875399583510154978630678332633790083460722311172046719971851232258526350539453855922996037126600761499593826351561087110581702347556600516146094321256626279147174337043658312057974464814266177821476722530089984068929188814727278211421628751020917617478262627674434639007001876170784663941045269098087904184786913253252776229161732023199689256517006761558741881540086531253110590552077202434671257608809008797980838576072369352061504939535216244511339652972015219387294536959273488400574107038156981559493488481223327329801018368582541041418145746597082196075020800415558348987795602999573110500872055179449092285921393747828949931660385814409727006384413923682567258524604572148276058399131054750940384401692598743141424104716448972890329343817645692605627333358535919070334007331482847553384362374897741696376545708692974035232123018759554201725288303310498347589189215469574440738405277240603853456528027542773978444599593806553455376626629131786652515636009515289273326712127348466459030362259979365531421881609779873833387463390771451938433761103090260798120804877449528295718697517900464738148289062810386699300130626379273264819041262211520567068433472651654451206427436579127400347929286626137652751582210581031073025719700901223965860213027892792534324330272372877530094687056007854244946124358301310685873170690654206956868031409924425576682483149618435570900766483460884567342926616143024172987684194786858751832796155196172644930458171657676501085989966720609220581847338796981048874971044707914563584556597303991367397548482112894350703492072433041320216024354933359444979451701530640355630104392157174321012862959261926194264743613443655922185987722710554086526042924210256113523078243845582355683501009827767432625438345712155027077541615429063000954257434204060384345955783148192677617340116733694394975514977494686950465224262312230776080970522751127684}
23933 574012148077785338269538495554415876406500781940307483206252957213388185744462: {95716,932763,1315435,1362927,1578522,2032435,2222607,2271355,2343866,2438922,2652123,2725626,2845171,2893231,3081423,3348380,3418987,3465355,4018056,4064530,4158426,4351802,4368027,4520313,4783400,4877436,4896835,5224683,5381325,5740080,5785978,5876202,6046447,6122752,6216860,6457590,6888096,6906811,6935403,7041355,7362543,7364588,7460232,7621867,7749108,7856191,8392761,8449626,8469235,8702876,8856883,9342163,10163082,10369562,10520840,11197083,11223130,11294767,11558035,11622063,11776291,11806106,11835945,12032635,12373466,12432680,12625008,12636223,12652690,12727507,12981355,13467756,13869642,13915627,13986765,14203134,14439162,14586403,14727944,14813660,14919216,15014127,15019891,15113635,15183228,15390956,15577626,16533355,16568937,16784118,17025727,17127147,17250746,17451163,17574585,17676380,17776392,17840431,18136362,18597067,18746224,18836083,19071331,19252922,19401116,19724925,19840026,19840435,19979564,19998441,20315923,20922125,21039920,21089502,21126716,21211656,21461827,21491035,21538858,21756783,21987080,22377866,22508467,22813651,23332507,23433807,23669910,23808522,23852523,23863113,23928571,24602361,24684682,24689307,24735465,25106550,25247904,25486330,25789242,25942863,26360283,26384496,26780320,26908690,26986927,27572467,27715880,28308355,28403892,28542835,28551787,28576028,28750316,28764883,29081683,29288525,29682558,29691867,29714635,29754991,29888750,30127860,30417235,30522603,30583596,30869756,31180365,31274347,31854586,31968380,32136384,32181483,32290428,32357066,32517091,32581868,32590930,33123883,33259056,33278962,33628363,33970026,34251402,35076207,35146230,35421596,35657562,35752904,35866500,36021596,36050251,36153432,36500682,37416438,37489312,37581487,37837202,38257600,38362056,38963947,39001946,39109116,39277531,39628351,40154386,40222017,40512667,40672611,40913035,41071880,41092690,41696563,41754476,41840750,42175476,42507130,42580531,43039800,43157313,43234435,43288527,43300927,43563583,44625355,45485743,45697147,45783355,45876218,45909120,45943196,46142427,46205865,46224380,46661098,46709035,46749967,47268331,47678505,48359432,48419775,48471283,48969728,49072147,49095642,49251355,49286256,49311228,50208900,50256122,50450227,50602280,50605743,50636035,50857072,51008556,51010203,51100747,51360451,51567763,51647760,51881322,52239866,52388371,52452031,52625883,52925818,53126803,53380028,53407003,53550426,53556160,54222602,54404361,54640623,54826184,54940026,55090944,55240616,55245307,55447038,55469256,56050842,56055802,56258924,56611930,56760125,56927565,57214206,57652027,58103730,58335836,59101626,59223871,59368003,59391836,59453967,59601331,59669107,59723601,59772500,60164762,60201811,60250680,60459247,60583965,60652443,60714907,60722736,60763242,60829330,60959624,61286287,61679457,61977312,62145693,62233690,62402913,62833736,63441327,63602762,64032188,64091251,64267392,64622896,64633323,65088235,65320466,65355631,65700067,65819563,66072271,66615663,66684235,66930043,67130876,67251082,67782015,67934316,68112150,68313078,68559898,68579577,68693996,69244690,69381867,69724476,69792956,69828163,70097635,70687953,70779235,71093587,71099525,71290267,71546666,71727000,71747923,71768697,71794460,71914435,72300816,72652960,72677276,72700758,72719407,72995196,73129723,73193276,73315227,73427925,73502035,74375804,74520931,74628380,74680428,74718536,74840530,74908723,75006031,75349231,76156267,76508800,76671355,76687471,76836783,77006827,77130307,77231947,77460860,77750024,77752185,78036667,78105882,78323120,78617791,78704635,78785643,79058083,79434931,80021082,80692875,80782233,81250076,81285787,81338418,81410635,81428947,81702403,81734580,81773842,82667163,82935664,83093628,83332867,83434771,83436355,83827407,84058353,84117162,84152325,84335635,84559963,84605530,84845480,84935082,85319430,85438925,85683355,85702987,85772083,85832924,85949660,86072400,86153352,86297322,86911887,87183552,87268522,87468777,87680847,88113510,88150435,88202442,88523565,89027503,89046355,89554056,89762480,89808636,89995243,90313627,90335432,90381082,91007392,91086427,91115731,91196863,91415851,91443442,91558930,91810560,92005626,92177035,92213491,92562125,92953032,93030931,93050287,93302622,93309242,93420507,93492058,93739435,93987744,94180651,94425136,94426291,94445562,94562607,95451165,95451187,95745355,95899951,96095996,96169325,96199651,96461787,96621547,96831450,96855283,96922521,96992402,97267963,97514986,97598703,97692762,97810111,97931264,98081496,98134280,98136058,98722184,98859235,99002282,99169807,99180956,99654787,99866703,...,198279992776421482913249201262302660576552564472554407477627243410157874381142138109011114506500090984561462393513572888650877230411667105545015663840066100744220663256245106696522536558970684535003910949582842101463102068232652147249911606947681770939954817868790078493636810713702316602078218567899135464075832667750861797078748137268653071978803416579477204357009204806365388162408699455531012711020693744872396736591381334555046988639043308964710509352746399772278682697642076269570948070628246791667450653720603996559785015370721421880892866131913971441450790241082005660106443660742098963086761512048121384550280376878489499531951667696426676431081227744181851167976889405340970316028864094147150509070259284001876293831251394077261389918597283726058170337729965397516777798733377544562811570937302303237069031817555292673404522255786175598035573735259903093210524460564686982882806922133617210508464077631677763231459154783097520011407066890955032066566836801978854457877233479993787031598865701988831855081491865595528746683818857355546418601844547390423881823996919775439674695036440914415794168713983787049785854028378745688029422482300856756701545137136244378617822159658262776829971766349918796156195319910137678889799395105687573734654099748597350953792581055572639910507000463641605328981213905916236454575880912942243155711138248058325774288223462017791966089943079566389332532562313428988221686267181167791006160051727554014205891923274580425256393348945182976783670020397023848977255352232161477301635377290778778310601403989942778330289710514212229874870843801362014289986710307081172368885574029849179122060908221371728934715755572805132243783579924987907645605927291698084269660942416101597861666867766033523368040034670600728256493334153922999891693931026607608549834100315387113382724472516356021624440750379872095553481525256076791353422939502950282843565841176227325180662722975638886531765369654092275945579593631313099375265232467946017498950685125191083466758070079957776848387789525809180783884494055689901142249390739527341630665872553521334900774219141481884939418720761505565487468086961697221399266732215083795134976103393783222090917317132443126531376426217393941511651958510502814256176995911567903647131856277180369879879164343742598034799533884775510142338112822310129796879665885828115803652006886413213513196971257864108554028092257409302824366767009479458022829080941805438910232600861160557235472339240232721834990994701527552873811562127218619895623294112531200623337523481693404499359665751308082769173638428882090621743424897490578721614590509576620885523850887786906858222414087598696582126410576602538898114712136157074673459335494015726468538908441000037803878605501010997224271330076543562346612544564818563039461052848184528139331302587932454965747521383783823204361661107607915860905780184792041314160967666899390709830183064939943697679978773454014272933909990068191022699688545543389969048297132822414669810750081195086157177907650641654635391197181207316174292443578046276850697107222433594215580048950195939568909897228561893317280850602650208977481676809641154868691100521893929939206479127373315871546609538579551351835948790319541839188801486495408559316295142030584011781367419186537451966028809756035981310435302047114886638365023724724427653356351149725191326851014389924214536259481526292180288127749194232794258967395687257486514751628984950080913830872771008195471573312456567061871845376834895955987051096322723169341526055238108649561980324036532400039167469177552295960533445156588235761481519294438892889291397115420165483883278981584065831129789064386315384170284617365768373533525251514741651148938157518568232540616312423143594501431386151306090576518933674722289016426010175100541592463272466242030425697836393468346164121455784126691526}
23934 576029820948366056690404919152911373155798024173553040028934108871935608780227: {119645,143574,406589,549953,979613,1099814,1122689,1243684,1456253,1817236,2104696,2367783,2407133,2454593,2531174,2549489,2817014,2963476,3251896,3515799,3536164,3634168,3658383,3969089,4088439,4108564,4110653,4185475,4299293,4534913,4582013,4813862,5022570,5357408,5383094,5544568,5824036,5979250,6027084,6084989,6096795,6225473,6235862,6237639,6412673,6503248,6527703,6966244,7175100,7253489,7316154,7346753,7653440,7771075,7812593,7834936,8324093,8503574,8610120,8649089,8678967,8788253,8814303,9069062,9184128,9205735,9247204,9325290,9344189,9686385,9816724,9946976,10332144,10821053,10878595,11046882,11190348,11266168,11418689,11623662,11785793,12449894,12674439,12730694,12886951,13054314,13151050,13157873,13476989,13550776,14023133,14159489,14295773,14929444,14930813,14976113,15244623,15496084,15540850,15554343,15781260,15880433,16402946,16833344,16834695,17006333,17634653,17709159,17957008,18038534,18409930,18492856,18517075,18560199,18649020,18871862,18937512,18979035,19238695,19252216,19688093,19892288,19910273,20018836,20201634,20220989,20244304,20309693,20770168,20804463,20885489,21304701,21636413,21658743,22091916,22095475,22220490,22297073,22378824,22736513,22774842,22836196,22868189,23086434,23218973,23366439,23432780,23656733,23701856,24181816,24251395,24311873,24974455,25176177,25486589,25616753,25876119,26223233,26299900,26313494,26408395,26453368,26514570,26664588,27130013,27204543,27483850,27560573,27646589,27680054,27952934,28076189,28119336,28282208,28879383,29009044,29061233,29101674,29232113,29360189,29760039,29859062,29871773,29969346,30402374,30721853,30849089,31245076,31283791,31559880,31634253,31690074,31744696,31803364,31817484,32033153,32243933,32308287,32622833,32664893,32803148,32919076,32980620,33252893,33378689,33475400,33504413,33566799,33663872,34385656,34458854,34549313,34590484,34644850,34757693,35049089,35147044,35179328,35504865,35712783,35720035,35803814,35937895,36293489,36912989,37027023,37036673,37593127,37659825,37871856,38229495,38587195,38638013,38683863,39372989,39576689,39576744,39589156,39861533,39960475,40064753,40170480,40308353,40363035,40696804,40727335,40778128,41077853,41199089,41279873,41573820,41944262,42005489,42314503,42487793,42605838,42739574,42848512,42864042,42908644,43053904,43125474,43329053,43808189,44276995,44345408,44499938,44523837,44590262,44691130,44833125,44921693,45026995,45119873,45191790,45293368,45515633,45668536,45875394,46107773,46304634,46462193,46768276,46861640,47051453,47221862,47543416,47781879,47822000,47951489,47952570,47972911,48204576,48224573,48335539,48435642,48532262,48535599,48667576,48808433,48872802,48886395,49235453,49506689,49888584,49918443,50395133,50664689,50856989,50955039,51125873,51149408,51240989,51339850,51377103,51891953,52006589,52145488,52193095,52464413,52578689,52719345,52959089,52960694,53132394,53339671,53486343,53629356,53737862,53799750,54032394,54230148,54255254,54397313,54548033,54660989,54751023,54930007,54979519,55337213,55546214,55786589,55861373,56124657,56233968,56532989,56545034,56755803,57090689,57386400,57428995,57461489,57543084,57572573,57718036,57780475,58083883,58090013,58373654,58502919,58663674,58752989,59010113,59653094,59779133,60231579,60449290,61052993,61212160,61306589,61438262,61523236,61607820,61639035,61956893,62281073,62631714,62761125,63252850,63263214,63464189,63571340,63619138,63760695,63892253,64559700,65239862,65378719,65460856,65698673,65715008,65748304,66015293,66120689,66190913,66401393,66646589,66725035,66945200,67254134,67275293,67474324,67588673,68011408,68013604,68031271,68213489,68257814,68490353,68532730,68814327,68863680,68914794,69050770,69175096,69317873,69336570,69661313,69991647,70038173,70167844,70323655,70756934,70788989,71366513,71400568,71975489,72211613,72539148,72568706,72854164,72884093,72919795,73085213,73253368,73319489,73454592,73643463,73820189,73929384,73959008,73966842,74239795,74418653,74715625,74734456,74882333,75313350,75384183,75410333,75870653,75903420,76199530,76285608,76512834,76851773,77047133,77471640,77534273,77821983,78309953,78359799,78503153,78542170,78564343,78802168,78824513,79043503,79271956,79388727,79631468,79847489,80040235,80070042,80070173,80325639,80334240,80609414,80778620,80869924,80893853,80963648,81017656,81177713,81209213,81333903,81837533,82212989,82239276,82410039,82621994,82636416,82860924,83146589,83170557,83203884,83703293,83761862,83913595,84011453,84076263,84083703,84388386,84588436,84870511,84917895,84992189,85296989,85388273,85689856,85813313,85821309,85867495,86177764,86381911,86718833,86808989,86899073,87155595,87241195,87348413,87503754,87557489,87646973,87706589,87847574,88089631,88152689,88360253,88652439,88820884,89070163,89087754,89279654,89658750,89743075,89743459,90247143,90376020,90443393,90469094,90579088,90704573,90733553,90816200,90846595,90943862,91084104,91138433,91144863,91243995,91439436,91491595,91742813,92029373,92101303,92128262,92509156,92713853,92837174,92965968,92969755,93285475,93308993,93350535,93398170,93731933,94250604,94488689,94962173,94989953,95404143,95636000,95691596,96048282,96401088,96696689,96826075,96934344,97187530,97326928,97753636,97862333,97903900,97980699,98295802,98399453,98720189,99384689,99437633,99573904,99833693,99991613,...,297419989164632224369873801893453990864828846708831611216440865115236811571713207163516671759750136476842193590270359332976315845617500658317523495760099151116330994884367660044783804838456026802505866424374263152194653102348978220874867410421522656409932226803185117740455216070553474903117327851848703196113749001626292695618122205902979607968205124869215806535513807209548082243613049183296519066531040617308595104887072001832570482958564963447065764029119599658418024046463114404356422105942370187501175980580905994839677523056082132821339299197870957162176185361623008490159665491113148444630142268072182076825420565317734249297927501544640014646621841616272776751965334108011455474043296141220725763605388926002814440746877091115892084877895925589087255506594948096275166698100066316844217356405953454855603547726332939010106783383679263397053360602889854639815786690847030474324210383200425815762696116447516644847188732174646280017110600336432548099850255202968281686815850219990680547398298552983247782622237798393293120025728286033319627902766821085635822735995379663159512042554661371623691253070975680574678781042568118532044133723451285135052317705704366567926733239487394165244957649524878194234292979865206518334699092658531360601981149622896026430688871583358959865760500695462407993471820858874354681863821369413364733566707372087488661432335193026687949134914619349583998798843470143482332529400771751686509240077591331021308837884911870637884590023417774465175505030595535773465883028348242215952453065936168167465902105984914167495434565771318344812306265702043021434980065460621758553328361044773768683091362332057593402073633359207698365675369887481861468408890937547126404491413624152396792500301649050285052060052005901092384740001230884499837540896539911412824751150473080670074086708774534032436661125569808143330222287884115187030134409254425424265348761764340987770994084463458329797648054481138413918369390446969649062897848701919026248426027687786625200137105119936665272581684288713771175826741083534851713374086109291012445998808830282002351161328712222827409128081142258348231202130442545832098900098322625692702464155090674833136375975698664689797064639326090912267477937765754221384265493867351855470697784415770554819818746515613897052199300827163265213507169233465194695319498828742173705478010329619820269795456886796162831042138386113954236550150514219187034243621412708158365348901291740835853208508860349082752486492052291329310717343190827929843434941168796800935006285222540106749039498626962124153760457643323135932615137346235868082421885764364931328285776331680360287333621131398044873189615864903808347172068204235612010189003241023589702808362661500056705817908251516495836406995114815343519918816847227844559191579272276792208996953881898682448621282075675734806542491661411873791358670277188061971241451500349086064745274597409915546519968160181021409400864985102286534049532818315084953572445699233622004716125121792629235766861475962481953086795771810974261438665367069415276045660833650391323370073425293909353364845842842839975921275903975313466222515214461732303036650782840894908809718691059973807319914307869327027753923185479312758783202229743112838974442713045876017672051128779806177949043214634053971965652953070672329957547535587086641480034526724587786990276521584886321804389222289438270432191623791349191388451093530886229772127443477425121370746309156512293207359968684850592807768065252343933980576644484084754012289082857162974342970486054798600058751203766328443940800167734882353642222278941658339333937095673130248225824918472376098746694683596579473076255426926048652560300287877272112476723407236277852348810924468634715391752147079226959135864778400512083433524639015262650812388694908699363045638546754590202519246182183676190037289}
23935 578054540117556167121404245448050546591929603795029548065273219349528721480319: {191432,215361,1554605,1649721,1841609,1865526,2271545,2630870,2725854,2845409,3157044,3179897,3419273,3704345,3796761,4040621,4064870,4225521,4420205,4445214,4542710,4687732,4851497,4877844,5135705,5304246,5451252,5690342,5786462,6162846,6696760,6837974,6855569,6930710,7145801,7220793,7280045,7533855,7719377,8036112,8074641,8129060,8147513,8316852,8703604,8707805,8736054,8968875,9007661,9040626,9353793,9566800,9722009,9754872,9793670,9857897,10441241,10449366,10762650,10974231,11480160,11559005,11571956,11752404,11856929,12092894,12245504,12270905,12433720,12588449,12755361,12915180,13161737,13348361,13603593,13776192,13813622,13870806,13987935,14082710,14725086,14729176,14920464,15243734,15498216,15712382,16181249,16445741,16570323,16785522,16786937,16845689,16899252,16938470,17405752,17435493,17582609,17713766,18173897,18661805,18674841,18684326,19096041,19370105,19504241,19581471,19726575,20326164,20739124,21041680,21159089,21315017,22394166,22446260,22589534,22941953,23116070,23146697,23244126,23311275,23552582,23606441,23612212,23671890,24065270,24604419,24739709,24746932,24865360,25023545,25250016,25272446,25305380,25423409,25455014,25611437,25962710,26743697,26935512,27057801,27574781,27614895,27739284,27776609,27831254,27973530,28307793,28406268,28545245,28878324,29172806,29290975,29455888,29627320,29838432,30028254,30039782,30087449,30227270,30302451,30366456,30781912,31155252,31893641,32874875,33066710,33137874,33330735,33568236,33743021,34051454,34162263,34254294,34501492,34629651,34759649,34902326,35149170,35352760,35552784,35680862,36191069,36261305,36272724,37194134,37492448,37584641,37672166,38142662,38505844,38802232,39056345,39449850,39470241,39486953,39631697,39680052,39680870,39754205,39771855,39959128,39959969,39996882,40291457,40631846,41003935,41045609,41148845,41225775,41520081,41600489,41844250,41929401,42079840,42179004,42253432,42423312,42584129,42603473,42923654,42982070,43077716,43238105,43304561,43513566,43652511,43898417,43933805,43974160,44755732,44788593,44954019,45016934,45603561,45627302,46048301,46602041,46665014,46867614,47272313,47339820,47535111,47617044,47705046,47726226,47857142,49204722,49369364,49378614,49470930,49486445,50213100,50454461,50495808,50871005,50972660,51578484,51688281,51885726,51967275,52456433,52720566,52768992,53560640,53635805,53705721,53817380,53929553,53973854,54587657,55144934,55249961,55431760,55862573,56616710,56807784,57085670,57103574,57152056,57278249,57402857,57500632,57529766,58163366,58460345,58577050,59077049,59365116,59383734,59429270,59509982,59606333,59777500,60255720,60464321,60528209,60834470,61009889,61045206,61167192,61739512,62360730,62475497,62508713,62548694,62593529,62916393,63418109,63709172,63908757,63936760,64096697,64109361,64272768,64296063,64362966,64580856,64688211,64714132,65034182,65163736,65181860,65392649,65452769,66247766,66518112,66557924,66749907,66885393,67036695,67256726,67284377,67787685,67940052,68312009,68502804,68813091,68951897,69456951,69622937,70152414,70292460,70832793,70843192,70890449,71315124,71505808,71733000,71753981,71928855,72043192,72100502,72147545,72306864,72653463,72798393,73001364,73309203,73563041,74767841,74832876,74978624,75162974,75674404,75996593,76002281,76515200,76724112,76904045,77009775,77238473,77927894,78003892,78043241,78218232,78555062,79256702,79441041,79464175,79698591,80241377,80308772,80444034,80606793,80699625,80892761,81025334,81048591,81345222,81382881,81826070,82143760,82185380,82521953,83319321,83393126,83508952,83681500,84342905,84350952,84817551,85014260,85017005,85161062,85421789,85902113,86079600,86314626,86468870,86577054,86601854,87127166,87560481,87709805,87995511,88608173,88780217,89250710,89479641,90002861,90673935,90971486,91067705,91123529,91394294,91566710,91752436,91818240,91886392,92157393,92221277,92284854,92411730,92448760,93322196,93357929,93418070,93499934,93947571,94536662,94879275,94894821,95099609,95357010,95428707,95804777,95941037,96065021,96542153,96718864,96839550,96942566,97004669,97859793,97939456,98136689,98144294,98191284,98502710,98572512,98622456,99089945,99090929,99539335,...,396559985552842965826498402524605321153105128945108814955254486820315748762284276218022229013000181969122924787027145777301754460823334211090031327680132201488441326512490213393045073117941369070007821899165684202926204136465304294499823213895363541879909635737580156987273621427404633204156437135798270928151665335501723594157496274537306143957606833158954408714018409612730776324817398911062025422041387489744793473182762669110093977278086617929421018705492799544557365395284152539141896141256493583334901307441207993119570030741442843761785732263827942882901580482164011320212887321484197926173523024096242769100560753756978999063903335392853352862162455488363702335953778810681940632057728188294301018140518568003752587662502788154522779837194567452116340675459930795033555597466755089125623141874604606474138063635110585346809044511572351196071147470519806186421048921129373965765613844267234421016928155263355526462918309566195040022814133781910064133133673603957708915754466959987574063197731403977663710162983731191057493367637714711092837203689094780847763647993839550879349390072881828831588337427967574099571708056757491376058844964601713513403090274272488757235644319316525553659943532699837592312390639820275357779598790211375147469308199497194701907585162111145279821014000927283210657962427811832472909151761825884486311422276496116651548576446924035583932179886159132778665065124626857976443372534362335582012320103455108028411783846549160850512786697890365953567340040794047697954510704464322954603270754581557556621202807979885556660579421028424459749741687602724028579973420614162344737771148059698358244121816442743457869431511145610264487567159849975815291211854583396168539321884832203195723333735532067046736080069341201456512986668307845999783387862053215217099668200630774226765448945032712043248881500759744191106963050512153582706845879005900565687131682352454650361325445951277773063530739308184551891159187262626198750530464935892034997901370250382166933516140159915553696775579051618361567768988111379802284498781479054683261331745107042669801548438282963769878837441523011130974936173923394442798533464430167590269952206787566444181834634264886253062752852434787883023303917021005628512353991823135807294263712554360739759758328687485196069599067769551020284676225644620259593759331771656231607304013772826427026393942515728217108056184514818605648733534018958916045658161883610877820465201722321114470944678480465443669981989403055105747623124254437239791246588225062401246675046963386808998719331502616165538347276857764181243486849794981157443229181019153241771047701775573813716444828175197393164252821153205077796229424272314149346918670988031452937077816882000075607757211002021994448542660153087124693225089129637126078922105696369056278662605175864909931495042767567646408723322215215831721811560369584082628321935333798781419660366129879887395359957546908028545867819980136382045399377091086779938096594265644829339621500162390172314355815301283309270782394362414632348584887156092553701394214444867188431160097900391879137819794457123786634561701205300417954963353619282309737382201043787859878412958254746631743093219077159102703671897580639083678377602972990817118632590284061168023562734838373074903932057619512071962620870604094229773276730047449448855306712702299450382653702028779848429072518963052584360576255498388465588517934791374514973029503257969900161827661745542016390943146624913134123743690753669791911974102192645446338683052110476217299123960648073064800078334938355104591921066890313176471522963038588877785778582794230840330967766557963168131662259578128772630768340569234731536747067050503029483302297876315037136465081232624846287189002862772302612181153037867349444578032852020350201083184926544932484060851395672786936692328242911568253383052}
23936 580086330033698121764342884162065749857227797117207695091251364468143291523558: {167503,239290,287148,454423,813178,884263,1027399,1099906,1599223,1884703,1959226,2199628,2245378,2454799,2487368,2597143,2798289,2912506,3634472,3874999,3946305,4088781,4209392,4582399,4735566,4814266,4909186,5062348,5098978,5634028,5859665,5926952,6097305,6503792,6667821,6814065,7031598,7072328,7254103,7268336,7316766,7393999,7938178,7952863,7956369,8176878,8217128,8221306,8370950,8535513,8598586,8679693,8788999,8928103,9069826,9164026,9244269,9344983,9627724,10045140,10161325,10256961,10315183,10396065,10714816,10766188,10867999,10879505,11089136,11648072,11958500,12054168,12169978,12193590,12450946,12471724,12475278,12825346,12888029,13006496,13055406,13104081,13560939,13932488,14350200,14464945,14506978,14632308,14690505,14693506,14977399,15230033,15306880,15542150,15625186,15669872,15674049,16143975,16467943,16648186,16872943,17007148,17007799,17142583,17220240,17298178,17357934,17576506,17628606,17815423,18138124,18139341,18368256,18411470,18494408,18650580,18688378,19372770,19633448,19893952,20222743,20355799,20664288,20720433,20806209,20887303,21124065,21152623,21642106,21757190,22087629,22093764,22380696,22532336,22837378,22865601,23247324,23568573,23571586,24899788,25178283,25348878,25407705,25461388,25749103,25773902,25923905,26108628,26268799,26302100,26315746,26570649,26934173,26953978,27101552,28026489,28046266,28057825,28078663,28318978,28591546,29362783,29515265,29858888,29861626,29952226,30489246,30933665,30992168,31081700,31108686,31562520,31631725,31760866,32667799,32805892,33297799,33423583,33591249,33666688,33669390,33884301,33951953,34012666,34674105,34866189,34964237,35052223,35269306,35328873,35418318,35507835,35914016,36077068,36097905,36819860,36916303,36971753,36985712,37034150,37039999,37120398,37298040,37743724,37875024,37908669,37958070,38182521,38477390,38504432,38764183,38944065,39376186,39376543,39498799,39620983,39784576,39820546,40037672,40403268,40441978,40488608,40619386,41323999,41540336,41608926,41746881,41770978,41960295,42531799,42609402,43126865,43272826,43317486,43732399,43759209,43852063,44183832,44190950,44428241,44440980,44594146,44757648,45042381,45059673,45340905,45473026,45549684,45672392,45736378,46172868,46437946,46584463,46732878,46865560,47313466,47403712,47408503,48132305,48363632,48502790,48623746,49511263,49600065,49706811,49948910,50008049,50313053,50352354,50669383,50973178,51077181,51233506,51245743,51381441,51752238,52353489,52393063,52446466,52599800,52626988,52723755,52816790,52906736,53029140,53329176,53521293,53646799,53847145,54022073,54260026,54326983,54409086,54666103,54967700,55121146,55293178,55360108,55791201,55791823,55905868,55944665,56152378,56238672,56508249,56564416,56575543,57018269,57133183,57213993,57758766,58018088,58122466,58203348,58243063,58464226,58574623,58720378,59125783,59174775,59520078,59521305,59718124,59743546,59938692,59995323,60804748,60947769,61312423,61443706,61698178,61711705,61962799,61987793,62490152,62567582,62766375,63037793,63119760,63268506,63380148,63470263,63489392,63606728,63634968,63684463,63715825,64066306,64218703,64385481,64473105,64487866,64616574,64917281,65245666,65270349,65329786,65606296,65704999,65838152,65961240,66127063,66505786,66653023,66757378,66862903,66950800,67008826,67133598,67271725,67327744,67525401,68440953,68644589,68771312,68842399,68917708,69098626,69180968,69289700,69358999,69515386,69997521,70098178,70294088,70301421,70358656,70795903,71009730,71425566,71440070,71557569,71589339,71607628,71785713,71875790,72016303,72319783,72586978,72924799,73070333,73426999,73807083,73825978,74054046,74067921,74073346,74206395,74721875,75186254,75319650,75743712,76402399,76458990,76891999,77174390,77276026,77282383,77367726,77828589,77962783,78253303,78745978,78832399,79080849,79153378,79153488,79178312,79636465,79723066,79920950,80129506,80340960,80400593,80616706,80726070,80892665,80960781,81217399,81393608,81454670,81477325,81556256,82155706,82252543,82398178,82533343,82559746,82717401,83147640,83186023,83197405,83888524,84010978,84629006,84848143,84925065,84975586,85031383,85211676,85479148,85628505,85655361,85697024,85728084,85817288,86107808,86250948,86294649,86658106,86667583,87245049,87566503,87616378,87655999,87745423,87865575,88191463,88553990,88690816,88989799,88999876,89047674,89075601,89143905,89180524,89264973,89382260,89666250,89843386,89869999,90053990,90239746,90383580,90586736,90742999,90829903,91031266,91251705,91337072,91567809,91750788,92215546,92609268,92848769,92924386,93415049,93536552,93541095,93723280,93823041,94078903,94102906,94443724,94593005,94855277,94999999,95086832,95563758,95644000,95747143,95902978,95905140,95945822,96409152,96449146,96544449,96671078,96871284,97064524,97071198,97142503,97335152,97504865,97551273,97616866,97745604,97772790,98453117,98470906,99013378,99371649,99777168,99836886,...,594839978329264448739747603786907981729657693417663222432881730230473623143426414327033343519500272953684387180540718665952631691235001316635046991520198302232661989768735320089567609676912053605011732848748526304389306204697956441749734820843045312819864453606370235480910432141106949806234655703697406392227498003252585391236244411805959215936410249738431613071027614419096164487226098366593038133062081234617190209774144003665140965917129926894131528058239199316836048092926228808712844211884740375002351961161811989679355046112164265642678598395741914324352370723246016980319330982226296889260284536144364153650841130635468498595855003089280029293243683232545553503930668216022910948086592282441451527210777852005628881493754182231784169755791851178174511013189896192550333396200132633688434712811906909711207095452665878020213566767358526794106721205779709279631573381694060948648420766400851631525392232895033289694377464349292560034221200672865096199700510405936563373631700439981361094796597105966495565244475596786586240051456572066639255805533642171271645471990759326319024085109322743247382506141951361149357562085136237064088267446902570270104635411408733135853466478974788330489915299049756388468585959730413036669398185317062721203962299245792052861377743166717919731521001390924815986943641717748709363727642738826729467133414744174977322864670386053375898269829238699167997597686940286964665058801543503373018480155182662042617675769823741275769180046835548930351010061191071546931766056696484431904906131872336334931804211969828334990869131542636689624612531404086042869960130921243517106656722089547537366182724664115186804147266718415396731350739774963722936817781875094252808982827248304793585000603298100570104120104011802184769480002461768999675081793079822825649502300946161340148173417549068064873322251139616286660444575768230374060268818508850848530697523528681975541988168926916659595296108962276827836738780893939298125795697403838052496852055375573250400274210239873330545163368577427542351653482167069703426748172218582024891997617660564004702322657424445654818256162284516696462404260885091664197800196645251385404928310181349666272751951397329379594129278652181824534955875531508442768530987734703710941395568831541109639637493031227794104398601654326530427014338466930389390638997657484347410956020659239640539590913773592325662084276772227908473100301028438374068487242825416316730697802583481671706417017720698165504972984104582658621434686381655859686869882337593601870012570445080213498078997253924248307520915286646271865230274692471736164843771528729862656571552663360720574667242262796089746379231729807616694344136408471224020378006482047179405616725323000113411635816503032991672813990229630687039837633694455689118383158544553584417993907763797364897242564151351469613084983322823747582717340554376123942482903000698172129490549194819831093039936320362042818801729970204573068099065636630169907144891398467244009432250243585258471533722951924963906173591543621948522877330734138830552091321667300782646740146850587818706729691685685679951842551807950626932445030428923464606073301565681789817619437382119947614639828615738654055507846370958625517566404459486225677948885426091752035344102257559612355898086429268107943931305906141344659915095071174173282960069053449175573980553043169772643608778444578876540864383247582698382776902187061772459544254886954850242741492618313024586414719937369701185615536130504687867961153288968169508024578165714325948685940972109597200117502407532656887881600335469764707284444557883316678667874191346260496451649836944752197493389367193158946152510853852097305120600575754544224953446814472555704697621848937269430783504294158453918271729556801024166867049278030525301624777389817398726091277093509180405038492364367352380074578}
23937 582125215229412223286569151000186564510885934451212527929900153651511013809820: {358935,382864,430722,1219767,1649859,2176447,2749535,2938839,3109210,3180163,3299442,3368067,3683218,3731052,4040959,4368759,4470983,4543090,5186083,5261740,5451708,5690818,6188287,6314088,6327935,6359794,6838546,7042535,7103349,7189987,7221399,7363779,7408690,7593522,7648467,8081242,8129740,8451042,8627539,8840410,8890428,9085420,9375464,9628879,9702994,9755688,10192063,10271410,10547397,10608492,10902504,10975149,11380684,11489647,11572924,11907267,12034655,12190927,12265317,12325692,12331959,12345443,12556425,12897879,13393520,13457735,13604739,13675948,13711138,13746039,13861420,13917959,14069443,14291602,14441586,14560090,14948125,15067710,15438754,15589655,16072224,16149282,16182607,16258120,16295026,16633704,16643663,17179267,17407208,17415610,17472108,17937750,18015322,18081252,18254967,18290385,18676419,18707586,18712917,19074527,19133600,19238019,19444018,19509744,19583109,19587340,19715794,20082239,20779447,20882482,20898732,21258935,21525300,21760467,21948462,22040259,22512239,22672655,22960320,23118010,23143912,23313225,23437779,23504808,23713858,24185788,24491008,24541810,24867440,24972279,25176898,25510722,25830360,25947267,26036901,26126527,26323474,26364759,26442909,26696722,27118147,27207186,27377743,27552384,27617205,27627244,27650263,27741612,27975870,28032567,28034963,28165420,29059155,29450172,29458352,29599559,29840928,30045847,30487468,30996432,31124735,31424764,31826735,32362498,32463159,32635785,32877625,32891482,33140646,33571044,33573874,33691378,33798504,33876940,34256067,34811504,34870986,35032963,35165218,35357379,35427532,35850023,36056303,36347794,37323610,37349682,37368652,37956487,38023317,38192082,38660853,38740210,38852125,39008482,39162942,39453150,39473619,39963343,40430967,40652328,40897223,41007365,41478248,42069399,42083360,42318178,42478467,42630034,42887319,43315847,44788332,44792439,44892520,44928339,45096335,45179068,45201959,45493379,45733869,45883906,46024825,46232140,46293394,46488252,46622550,46663029,46666399,46757843,47105164,47179655,47212882,47224424,47343780,47641299,48130540,48508447,49208838,49479418,49493864,49730720,50047090,50349559,50500032,50504085,50544892,50610760,50765827,50846818,50910028,51018999,51222874,51925420,52903959,52978103,53127477,53487394,53871024,53934079,54115602,54678883,55149562,55229790,55317599,55478568,55551225,55553218,55655887,55662508,55680597,55867279,55947060,56615586,56812536,56937105,57090490,57405509,57608383,57716085,57756648,58345612,58352323,58581950,58911776,59064279,59082007,59254640,59676864,59730819,60056508,60079564,60174898,60454540,60533347,60604902,60662967,60732912,60929079,61476839,61507327,61563824,61858799,62273123,62310504,62413389,62513959,62656467,63787282,63914103,64356727,64909239,64976229,65749750,65783735,66083363,66133420,66275748,66286425,66661470,66891219,66912263,66941279,67136472,67434767,67486042,68102908,68187523,68209539,68324526,68457059,68508588,68604567,68645587,68709625,69002984,69200135,69259302,69281023,69519298,69656919,69804652,69839927,69882335,70099317,70298340,70705520,70879063,70970199,71105568,71219407,71361724,72243863,72382138,72522610,72545448,72754185,72935619,73854503,74388268,74647655,74923365,74984896,75090127,75169282,75344332,75528531,76005935,76169159,76285324,76459767,76850259,77011688,77604464,77628357,78112690,78669699,78899700,78940482,78973906,79225185,79263394,79360104,79361740,79484003,79508410,79543710,79918256,79919938,79993764,80582914,81035639,81263692,81390039,81613629,81844483,82007870,82091218,82297690,82324583,82451550,82681719,82913939,82939767,83040162,83200978,83688500,83858802,84159680,84228567,84358008,84506864,84846624,85168258,85206946,85847308,85964140,86147135,86155432,86476210,86609122,86612125,86638149,87027132,87183699,87305022,87696339,87796834,87867610,87948320,88080567,89280117,89509535,89511464,89577186,89608319,89615319,89681539,89908038,90033868,91207122,91212227,91254604,92096602,92165559,92547267,93066083,93204082,93330028,93735228,93824207,93851373,94465439,94544626,94679640,94902759,95070222,95234088,95410092,95452452,95714284,96099459,96731799,96924861,97868499,97994679,98409444,98738728,98757228,98941860,98972890,99559583,99758679,...,892259967493896673109621405680361972594486540126494833649322595345710434715139621490550015279250409430526580770811077998928947536852501974952570487280297453348992984653102980134351414515368080407517599273122789456583959307046934662624602231264567969229796680409555353221365648211660424709351983555546109588341247004878878086854366617708938823904615374607647419606541421628644246730839147549889557199593121851925785314661216005497711448875694890341197292087358798975254072139389343213069266317827110562503527941742717984519032569168246398464017897593612871486528556084869025470478996473339445333890426804216546230476261695953202747893782504633920043939865524848818330255896002324034366422129888423662177290816166778008443322240631273347676254633687776767261766519784844288825500094300198950532652069217860364566810643178998817030320350151037790191160081808669563919447360072541091422972631149601277447288088349342549934541566196523938840051331801009297644299550765608904845060447550659972041642194895658949743347866713395179879360077184858099958883708300463256907468207986138989478536127663984114871073759212927041724036343127704355596132401170353855405156953117113099703780199718462182495734872948574634582702878939595619555004097277975594081805943448868688079292066614750076879597281502086387223980415462576623064045591464108240094200700122116262465984297005579080063847404743858048751996396530410430446997588202315255059527720232773993063926513654735611913653770070253323395526515091786607320397649085044726647857359197808504502397706317954742502486303697313955034436918797106129064304940196381865275659985083134321306049274086996172780206220900077623095097026109662445584405226672812641379213474240872457190377500904947150855156180156017703277154220003692653499512622689619734238474253451419242010222260126323602097309983376709424429990666863652345561090403227763276272796046285293022963312982253390374989392944163443415241755108171340908947188693546105757078745278083063359875600411315359809995817745052866141313527480223250604555140122258327873037337996426490846007053483986136668482227384243426775044693606391327637496296700294967877078107392465272024499409127927095994069391193917978272736802433813297262664152796481602055566412093353247311664459456239546841691156597902481489795640521507700395584085958496486226521116434030988859460809386370660388488493126415158341862709650451542657561102730864238124475096046703875222507559625526581047248257459476156873987932152029572483789530304823506390402805018855667620320247118495880886372461281372929969407797845412038707604247265657293094793984857328995041080862000863394194134619568847594711425041516204612706836030567009723070769108425087984500170117453724754549487509220985344446030559756450541683533677574737816830376626990861645696047345863846227027204419627474984235621374076010831564185913724354501047258194235823792229746639559904480543064228202594955306859602148598454945254860717337097700866014148375365377887707300584427887445859260387315432922784315996101208245828136982500951173970110220275881728060094537528528519927763827711925940398667545643385196909109952348522684726429156073179921421959742923607981083261769556437938276349606689229338516923328139137628053016153386339418533847129643902161915896958859212016989872642606761259924440103580173763360970829564754658965413167666868314811296574871374047574165353280592658689316382330432275364112238927469536879622079906054551778423304195757031801941729933452254262036867248571488923028911458164395800176253611298985331822400503204647060926666836824975018001811287019390744677474755417128296240084050789738419228766280778145957680900863631816337430170221708833557046432773405904146175256441237680877407594335201536250300573917045787952437166084726098089136915640263770607557738546551028570111867}
23938 584171220321885261021861828366869102340090941747393834483428138114256038040433: {335006,478580,574296,646083,693361,908846,1408861,1626356,1768526,2054798,2199812,2549917,3198446,3260737,3544561,3769406,3918452,4399256,4490756,4535677,4663815,4676977,4909598,4949163,4974736,5194286,5524827,5596578,5825012,5945437,6366961,6577175,6814635,7268944,7347997,7749998,7892610,8177562,8203531,8418784,8536227,9160561,9164798,9438337,9471132,9539691,9628532,9818372,10124696,10162175,10197956,10257819,11113035,11236861,11268056,11356775,11390283,11512477,11719330,11853904,12121863,12194610,12200257,12676563,13007584,13260615,13296961,13335642,13628130,13980061,14063196,14144656,14225855,14389057,14466155,14508206,14536672,14554491,14633532,14787998,14933377,15069277,15231307,15340861,15407115,15876356,15905726,15912738,16353756,16434256,16442612,16741900,17071026,17094935,17197172,17326775,17359386,17577998,17856206,18139652,18328052,18488538,18689966,18979057,19255448,19380061,19780417,20090280,20250923,20313217,20322650,20513922,20566707,20630366,20792130,20977597,21429632,21437403,21532376,21662379,21735998,21759010,21840135,22178272,22432897,22601565,23158131,23296144,23617117,23917000,24108336,24223923,24272497,24339956,24387180,24442539,24484175,24901892,24943448,24950556,25650692,25776058,26012992,26110812,26123415,26208162,26227837,26906625,27005437,27022983,27121878,27651457,27864976,27909361,28061379,28552861,28700400,28929890,29013956,29166027,29264616,29381010,29387012,29450737,29573691,29834461,29954798,30232235,30460066,30613760,30854557,31084300,31250372,31323723,31339744,31348098,32123197,32287950,32922693,32935886,33296372,33745886,34014296,34015598,34285166,34440480,34534055,34596356,34677015,34715868,35138557,35153012,35206775,35257212,35570787,35630846,36276248,36278682,36293467,36736512,36812715,36822940,36988816,37125757,37301160,37376756,37765347,37989361,38109335,38266083,38745540,39266896,39280955,39485211,39787904,40045083,40445486,40711598,40802077,40810779,41287357,41321371,41328576,41440866,41612418,41774606,41892337,41963805,42013117,42248130,42305246,42346175,43284212,43307131,43514380,44175258,44187528,44284415,44413597,44761392,45064672,45603037,45674756,45731202,45840061,46494648,46710815,47137146,47143172,48543747,48545137,49160243,49337223,49710969,49799576,50356566,50360811,50520061,50537067,50697756,50751037,50815410,50922776,51327217,51498206,51547804,51847810,52016257,52217256,52306479,52506103,52537598,52588477,52604200,52631492,52747827,53141298,53868346,53907956,54181117,54203104,54521691,55310077,55871857,55985415,56024523,56052978,56092532,56115650,56157326,56473835,56637956,57183092,57288123,57546397,57790175,58110315,58512723,58725566,58744413,58881455,58984561,59030530,59179725,59717776,59723252,59863537,59904452,60163175,60377611,60628861,60978492,61499197,61867330,61984336,62040817,62163400,62217372,62796061,63125040,63181115,63263450,63477267,63521732,63547777,63637535,63945051,64402561,64906775,65335598,65611784,65781757,66203677,66494219,66595598,66729457,66847166,67182498,67333376,67338780,67358017,67385227,67768602,67903906,68025332,68088061,68825859,69348210,69440091,69578135,69640561,69732378,69928474,69933825,70104446,70538612,70657746,70819323,70836636,70870897,71015670,71828032,71989597,72154136,72192061,72195810,72898417,72932015,73639720,73813257,73832606,73943506,73971424,74068300,74079998,74219127,74240796,74499697,74596080,75070635,75099455,75194461,75386003,75487448,75568175,75750048,75817338,75885697,75916140,75955847,76270227,76365042,76720423,76834311,76867057,76954780,77008864,77528366,77888130,78322531,78422257,78752372,78753086,78904477,78997598,79241966,79569152,79576561,79641092,79767937,80054461,80075344,80231091,80530561,80806536,80883956,80977216,81173403,81238772,82647998,82666775,82724343,82844685,83070397,83080672,83217852,83329827,83349361,83493762,83534977,83541956,83819483,83920590,84923379,85063598,85128635,85218804,85635735,85921777,86253730,86396387,86545652,86634972,87186817,87255815,87464798,87518418,87704126,87724657,87872925,88170877,88367664,88381900,88856482,88881960,89188292,89202155,89498737,89515296,89674561,90084762,90112861,90119346,90262347,90681810,90907353,90946052,91099368,91344784,91472756,91848061,92105857,92345736,92875892,92985335,93168926,93465756,93731120,93807937,94180415,94626932,94807424,94817006,94982257,95232061,95356655,95680923,96060061,96264610,96727264,97005580,97247492,97288561,97937137,98624625,99022526,99200130,99202175,99413622,99459037,99897820,99992205,...,1189679956658528897479495207573815963459315386835326444865763460460947246286852828654066687039000545907368774361081437331905263382470002633270093983040396604465323979537470640179135219353824107210023465697497052608778612409395912883499469641686090625639728907212740470961820864282213899612469311407394812784454996006505170782472488823611918431872820499476863226142055228838192328974452196733186076266124162469234380419548288007330281931834259853788263056116478398633672096185852457617425688423769480750004703922323623979358710092224328531285357196791483828648704741446492033960638661964452593778520569072288728307301682261270936997191710006178560058586487366465091107007861336432045821896173184564882903054421555704011257762987508364463568339511583702356349022026379792385100666792400265267376869425623813819422414190905331756040427133534717053588213442411559418559263146763388121897296841532801703263050784465790066579388754928698585120068442401345730192399401020811873126747263400879962722189593194211932991130488951193573172480102913144133278511611067284342543290943981518652638048170218645486494765012283902722298715124170272474128176534893805140540209270822817466271706932957949576660979830598099512776937171919460826073338796370634125442407924598491584105722755486333435839463042002781849631973887283435497418727455285477653458934266829488349954645729340772106751796539658477398335995195373880573929330117603087006746036960310365324085235351539647482551538360093671097860702020122382143093863532113392968863809812263744672669863608423939656669981738263085273379249225062808172085739920261842487034213313444179095074732365449328230373608294533436830793462701479549927445873635563750188505617965654496609587170001206596201140208240208023604369538960004923537999350163586159645651299004601892322680296346835098136129746644502279232573320889151536460748120537637017701697061395047057363951083976337853833319190592217924553655673477561787878596251591394807676104993704110751146500800548420479746661090326737154855084703306964334139406853496344437164049783995235321128009404645314848891309636512324569033392924808521770183328395600393290502770809856620362699332545503902794658759188258557304363649069911751063016885537061975469407421882791137663082219279274986062455588208797203308653060854028676933860778781277995314968694821912041318479281079181827547184651324168553544455816946200602056876748136974485650832633461395605166963343412834035441396331009945968209165317242869372763311719373739764675187203740025140890160426996157994507848496615041830573292543730460549384943472329687543057459725313143105326721441149334484525592179492758463459615233388688272816942448040756012964094358811233450646000226823271633006065983345627980459261374079675267388911378236766317089107168835987815527594729794485128302702939226169966645647495165434681108752247884965806001396344258981098389639662186079872640724085637603459940409146136198131273260339814289782796934488018864500487170516943067445903849927812347183087243897045754661468277661104182643334601565293480293701175637413459383371371359903685103615901253864890060857846929212146603131363579635238874764239895229279657231477308111015692741917251035132808918972451355897770852183504070688204515119224711796172858536215887862611812282689319830190142348346565920138106898351147961106086339545287217556889157753081728766495165396765553804374123544919088509773909700485482985236626049172829439874739402371231072261009375735922306577936339016049156331428651897371881944219194400235004815065313775763200670939529414568889115766633357335748382692520992903299673889504394986778734386317892305021707704194610241201151509088449906893628945111409395243697874538861567008588316907836543459113602048333734098556061050603249554779634797452182554187018360810076984728734704760149156}
23939 586224370013160129279283660836680484466791093972215625703710676827463203434606: {502509,598225,717870,765728,861444,1363269,2032945,2439534,2652789,2749765,2893957,3082197,3299718,3849349,4352894,4471357,4797669,4898065,4996981,5283889,5499070,5613445,5654109,5877678,6218420,6360326,6598884,6736134,7281265,7364397,7366436,7462104,7623781,7791429,8081918,8394867,8737518,8859109,8941966,9086180,9344509,9859549,10372166,10523480,10773037,10903416,11381636,11624997,11779249,11838915,12035665,12266343,12272965,12376574,12628176,12639397,12655870,12719588,12747445,13677092,13747197,14085070,14206698,14379974,14442798,14590069,14727558,14817380,15187044,15296934,15490981,15932629,16162484,16259480,16448497,16848517,16902084,17255078,17455549,17578995,17680820,17780856,18170840,18291915,18601741,18632317,18750928,18840829,19257758,19405988,19511376,19845445,20003463,20321029,20384126,20442195,20542820,20553265,20927375,21094794,21216984,21318589,21467221,21496465,21505969,21762309,21805008,21825517,21950298,22181997,22674565,22761368,22910065,22979294,23145848,23610397,23814534,23858589,23869107,24069310,24381854,24530634,24651384,24663918,24690886,25112850,25427677,25606539,25615729,25795758,25802389,26039079,26366997,26471797,26784309,26787040,26915470,27209478,27351896,27422276,27492078,27722840,27732807,27835918,28034949,28138886,28380241,28558981,28583204,28883172,29120180,29762509,29896250,30135420,30424945,30483975,30770883,30877508,30945549,31127365,31179310,31188195,31741717,32063365,32144448,32298564,32365214,32373949,32516240,32590052,32603997,32638515,33132229,33249997,33267408,33287326,34358534,34814416,34831220,34944216,34981297,35875500,36030644,36059329,36162504,36267445,36373381,36509934,36580770,36668209,36733765,37352838,37415172,37425834,38149054,38267200,38476038,38664087,38855375,38888036,39019488,39062965,39166218,39174680,39312243,39431588,40103617,40164478,40298221,40682817,41558894,41620465,41707069,41764964,41797464,42368209,42517870,43050600,43245445,43394835,43520934,43574629,43648957,43896924,43941265,44071515,44080518,44125489,44557429,44932197,45024478,45345310,45497197,45690099,45708661,45920640,46028675,46236020,46287824,46626450,46720945,46875558,47009616,47022147,47280277,47427716,48371576,48411829,48431925,48773869,48982016,49083620,49403829,49734880,49944558,50353796,50618829,51021444,51023397,51427749,51660720,51894534,52073802,52253054,52646948,52729518,52885818,53140189,53393444,53420497,53446269,54105265,54236294,54392975,54414372,54418023,54596821,54755486,55104768,55234410,55254488,55259269,55300526,55483224,55951740,56065134,56069926,56330840,56412997,57093445,57351589,57410311,58118310,58900344,58916704,58928965,59199118,59210821,59681856,60091694,60217009,60668229,60974936,61067397,61992864,62161299,62249470,62278381,62418627,62604037,62661909,62794237,62849528,63134869,63372195,63457869,63653470,64434755,64724996,64926318,65271570,65372197,65463757,65716621,65755250,65782964,65789365,66051517,66088909,66262887,66281292,66917917,66946897,66985969,67142088,67147748,67382756,67384945,67597008,67753880,68323477,68512134,68596803,69360397,69487669,69623008,69741972,70065926,70115665,70330436,70705719,70714758,70797445,70855064,71478865,71700046,72112606,72249949,72695588,73051057,73148149,73595509,74507029,74647220,74654065,74699364,74737304,74880565,75234961,75368269,75534849,75912974,76046634,76223115,76384164,77149741,77247309,77321706,77480420,77704250,77771715,78016964,78056389,78325884,78416209,78806397,78906300,78947238,78947917,79078129,79402165,79711947,79926686,80743141,80802519,80861934,80903797,81304656,81449509,81722989,81794446,82014730,82956496,84079467,84138798,84166720,84173475,84235989,84581269,84636356,84956934,84988597,85031665,85260068,85724581,85774638,86631694,88088349,88173265,88417669,88545795,88944337,89049997,89576664,89584878,89785040,89856678,90008677,90018097,90192670,90358136,90403918,90986758,91467738,91767812,92049650,92097229,92132497,92464280,92585375,92586788,92800995,92976504,93245100,93326058,93332798,93515686,93832129,94132789,94210328,94359310,94425764,94448848,94450129,94473397,94656577,94687560,94895175,95115757,95282598,96193475,96261080,96880189,97016894,97292689,97835269,98003397,98175781,98417676,98440465,98958836,98987728,99461440,99461809,99551365,99893397,...,1784519934987793346219242811360723945188973080252989667298645190691420869430279242981100030558500818861053161541622155997857895073705003949905140974560594906697985969306205960268702829030736160815035198546245578913167918614093869325249204462529135938459593360819110706442731296423320849418703967111092219176682494009757756173708733235417877647809230749215294839213082843257288493461678295099779114399186243703851570629322432010995422897751389780682394584174717597950508144278778686426138532635654221125007055883485435969038065138336492796928035795187225742973057112169738050940957992946678890667780853608433092460952523391906405495787565009267840087879731049697636660511792004648068732844259776847324354581632333556016886644481262546695352509267375553534523533039569688577651000188600397901065304138435720729133621286357997634060640700302075580382320163617339127838894720145082182845945262299202554894576176698685099869083132393047877680102663602018595288599101531217809690120895101319944083284389791317899486695733426790359758720154369716199917767416600926513814936415972277978957072255327968229742147518425854083448072686255408711192264802340707710810313906234226199407560399436924364991469745897149269165405757879191239110008194555951188163611886897737376158584133229500153759194563004172774447960830925153246128091182928216480188401400244232524931968594011158160127694809487716097503992793060820860893995176404630510119055440465547986127853027309471223827307540140506646791053030183573214640795298170089453295714718395617009004795412635909485004972607394627910068873837594212258128609880392763730551319970166268642612098548173992345560412441800155246190194052219324891168810453345625282758426948481744914380755001809894301710312360312035406554308440007385306999025245379239468476948506902838484020444520252647204194619966753418848859981333727304691122180806455526552545592092570586045926625964506780749978785888326886830483510216342681817894377387092211514157490556166126719751200822630719619991635490105732282627054960446501209110280244516655746074675992852981692014106967972273336964454768486853550089387212782655274992593400589935754156214784930544048998818255854191988138782387835956545473604867626594525328305592963204111132824186706494623328918912479093683382313195804962979591281043015400791168171916992972453042232868061977718921618772741320776976986252830316683725419300903085315122205461728476248950192093407750445015119251053162094496514918952313747975864304059144967579060609647012780805610037711335240640494236991761772744922562745859938815595690824077415208494531314586189587969714657990082161724001726788388269239137695189422850083032409225413672061134019446141538216850175969000340234907449509098975018441970688892061119512901083367067355149475633660753253981723291392094691727692454054408839254949968471242748152021663128371827448709002094516388471647584459493279119808961086128456405189910613719204297196909890509721434674195401732028296750730755775414601168855774891718520774630865845568631992202416491656273965001902347940220440551763456120189075057057039855527655423851880797335091286770393818219904697045369452858312146359842843919485847215962166523539112875876552699213378458677033846656278275256106032306772678837067694259287804323831793917718424033979745285213522519848880207160347526721941659129509317930826335333736629622593149742748095148330706561185317378632764660864550728224477854939073759244159812109103556846608391514063603883459866904508524073734497142977846057822916328791600352507222597970663644801006409294121853333673649950036003622574038781489354949510834256592480168101579476838457532561556291915361801727263632674860340443417667114092865546811808292350512882475361754815188670403072500601147834091575904874332169452196178273831280527541215115477093102057140223734}
23940 588284689090426431079988567283230638871388818010465923612199914423960209697721: {263219,550091,670012,693419,741179,957160,979859,1076805,1122971,1148592,1266011,1292166,1386722,1456619,1599491,1694699,1817692,1980131,2550131,2597579,2692451,2817722,3024251,3252712,3308339,3537052,3592139,3659301,3970091,4109596,4111691,4253219,4399624,4583171,4677371,4724459,4949577,5099834,5945939,6227051,6367499,6396892,6414299,6521474,6529341,6554651,7089122,7255331,7348619,7395251,7488491,7538812,7773025,7814579,7836904,7954211,8186771,8248605,8465579,8790491,8798512,8816517,8929619,8981512,9022331,9071354,9208045,9327630,9353954,9439139,9540489,9624179,9819196,9898326,9949472,10104201,10132379,10388572,10409171,10961891,11049654,11193156,11357725,11650024,11890874,11926379,12122877,12247091,12658859,12733922,13106277,13154350,13298099,13343699,13412949,13629270,14026739,14163131,14227045,14299451,14435699,14537888,14695994,14979971,15070571,15387419,15499996,15558249,15785220,15899485,16355124,16407062,16837568,17072454,17096365,17145539,17235371,17414939,17908091,18321122,18329596,18444971,18521725,18564861,18712979,18876674,18942264,18983805,19025291,19079382,19257064,19636744,19693211,19826579,19916197,20203105,20226251,20249392,20252617,20314979,20324350,20359331,20395912,20448011,20515638,20979419,21127605,21156299,21310047,21377219,21553811,21569961,21664197,21774371,22091337,22101025,22214891,22226070,22434851,22473722,22536112,22713550,22780566,22874171,22945401,23024954,23356499,23438660,23662931,23707808,23794139,23932909,24243726,24257485,24318251,24389220,24400514,24449099,24841211,25353126,25623491,25678525,25753619,25882617,26015168,26273411,26489651,26521230,26593922,26662499,26671284,27256260,27309539,27567851,27782891,27954779,27960122,28126392,28289312,28341059,28451710,28778114,28886637,28932310,29016412,29073344,29108982,29197139,29267064,29367971,29453339,29496011,29575996,29837099,29866754,29879699,30007451,30138554,30462614,30576189,30681722,30814230,30857291,30984491,31534859,31642191,31746179,31752712,31811452,31825476,32168219,32378939,32707512,32799779,32868512,32885224,32925447,33051899,33387611,33483800,33513371,33639059,34142052,34189870,34277845,34308179,34394344,34468941,34558571,34653550,34683659,34718772,34891979,35141699,35155996,35681771,35712412,35721801,35729005,36103965,36279304,36400225,36510011,36572781,36656104,36795951,36922931,36977076,36995877,37036329,37046651,37129091,37170299,37379932,37664171,37669275,37958114,38510896,38596885,38693637,38760122,38771171,39505931,39560834,39587411,40075619,40180560,40373205,40481579,40501846,40626434,40645300,40737565,40805771,40814217,41027844,41089019,41133414,41210291,41238117,41260732,41331491,41412251,41584260,41654339,41753877,41896139,41955194,42137651,42208329,42325129,42859264,42860459,42874806,43064752,43324758,43460819,43471996,43518020,43539025,43680270,43820171,43939811,44099219,44356544,44457419,44844375,44865794,45038305,45203130,45251099,45488579,45646739,45844259,46316262,46592288,46593011,46671659,46768965,46907411,47234234,47834000,47886611,48081851,48216672,48347677,48447846,48544994,48547821,48588539,48610045,48679912,48774360,48885078,48968350,49132691,49289485,49636571,49803784,49886896,49901112,49930989,50524739,50563259,50755739,51140099,51255251,51301384,51331979,51370331,51537801,51552116,51906419,52021091,52025984,52135691,52206205,52221624,52246830,52402811,52416324,52455674,52479059,52593371,52821779,53087891,53353069,53813250,53997299,54010874,54045966,54243756,54337139,54412571,54525659,54676331,54764901,54871155,54943801,54993337,55302914,55352771,55729952,55802291,55818722,55877099,56029257,56122758,56138751,56548931,56660651,56809499,57105722,57218171,57223581,57400800,57588851,57699899,57714057,57795025,57859780,57884819,58027912,58098469,58254059,58327811,58332054,58529232,58749327,58762020,58769651,58774024,58901474,59026859,59136971,59147382,59210339,59284645,59540099,59668922,59796131,59909596,60124739,60246717,60464470,60634619,60920132,61179179,61227520,61324091,61354525,61505051,61709114,61721939,61998181,62046731,62168600,62338341,62500744,62647446,62679488,62696196,62837939,62942245,63017219,63160499,63482411,63553859,63776805,63910619,64017491,64246394,64302131,64575900,65281401,65395141,65788091,65808685,65823299,65845386,65871772,66034379,66120777,66139811,66210059,66525779,66592744,66735899,66741805,67399379,67491772,67536717,68017965,68028592,68031196,68094659,68129339,68337251,68570332,68614019,68880960,68924771,69068110,69192712,69354030,69431736,69647339,69681659,69939675,69955931,70277114,70306024,70313337,70400531,70413550,70514424,70809731,70877819,70911851,71141574,71261692,71523059,72030419,72097931,72232859,72333971,72552496,72557364,72586934,72737699,72905579,72939131,73106771,73341131,73441451,73473024,73508291,73625430,73645880,73941971,73977632,74251514,74407499,74602320,74739059,74753512,74916837,75036779,75530694,75531539,75978722,75991691,76188419,76218670,76417571,76482971,76532166,76907291,77070131,77362739,77491080,77784251,77841801,77978339,78110703,78333419,78379581,78430091,78462299,78533792,78561910,78584077,78623219,78848171,78912371,78970422,79063369,79094277,79232891,79328727,79575808,79807811,79967051,80090166,80094299,80189651,80538659,80570339,80890972,80906245,80918291,81013019,81328259,81354441,81423196,81604154,81621558,81768251,81956339,82133229,82228705,82434037,82550051,82574714,82642742,82657152,82851615,82881732,82923539,82950789,83224836,83388779,83543459,83549212,83574371,83728811,83784674,83821379,83927610,83934685,84026234,84097701,84104889,84228445,84496260,84610492,84692350,84891829,85018211,85323131,85414451,85930571,86112179,86568424,86614262,86745539,86835731,86925851,87028760,87177465,87225731,87375371,87584531,87674051,87733691,87763499,87823091,87913045,88209659,88350516,88375056,88387619,88453561,88476491,88568830,88798677,88827194,89092549,89273099,89522784,89537339,89600137,89713139,89766001,90034691,90129344,90137541,90297059,90471611,90732899,90848819,90869485,90906731,91206074,91282379,91349512,91462404,91627931,91680122,91857659,91886339,92743019,92885099,92989296,93140339,93309025,93338411,93374205,93421630,93423179,93733379,94238891,94274292,94286344,94602371,94992299,95020091,95480205,95822579,96097739,96727571,96809411,96850525,97000091,97087494,97090274,97389477,97407371,97409389,97521205,97569779,97812851,97907355,98270219,98320486,98511419,98632875,98674446,98832011,99059389,99098291,99416771,99421938,99599152,99945011,...,2676779902481690019328864217041085917783459620379484500947967786037131304145418864471650045837751228291579742312433233996786842610557505924857711461840892360046978953959308940403054243546104241222552797819368368369751877921140803987873806693793703907689390041228666059664096944634981274128055950666638328765023741014636634260563099853126816471713846123822942258819624264885932740192517442649668671598779365555777355943983648016493134346627084671023591876262076396925762216418168029639207798953481331687510583825228153953557097707504739195392053692780838614459585668254607076411436989420018336001671280412649638691428785087859608243681347513901760131819596574546454990767688006972103099266389665270986531872448500334025329966721893820043028763901063330301785299559354532866476500282900596851597956207653581093700431929536996451090961050453113370573480245426008691758342080217623274268917893448803832341864265048027649803624698589571816520153995403027892932898652296826714535181342651979916124926584686976849230043600140185539638080231554574299876651124901389770722404623958416968435608382991952344613221277638781125172109029383113066788397203511061566215470859351339299111340599155386547487204618845723903748108636818786858665012291833926782245417830346606064237876199844250230638791844506259161671941246387729869192136774392324720282602100366348787397952891016737240191542214231574146255989189591231291340992764606945765178583160698321979191779540964206835740961310210759970186579545275359821961192947255134179943572077593425513507193118953864227507458911091941865103310756391318387192914820589145595826979955249402963918147822260988518340618662700232869285291078328987336753215680018437924137640422722617371571132502714841452565468540468053109831462660011077960498537868068859202715422760354257726030666780378970806291929950130128273289972000590957036683271209683289828818388138855879068889938946760171124968178832490330245725265324514022726841566080638317271236235834249190079626801233946079429987453235158598423940582440669751813665420366774983619112013989279472538021160451958410005446682152730280325134080819173982912488890100884903631234322177395816073498227383781287982208173581753934818210407301439891787992458389444806166699236280059741934993378368718640525073469793707444469386921564523101186752257875489458679563349302092966578382428159111981165465479379245475025588128951354627972683308192592714373425288140111625667522678876579743141744772378428470621963796456088717451368590914470519171208415056567002860960741355487642659117383844118789908223393536236116122812741796971879284381954571986985123242586002590182582403858706542784134275124548613838120508091701029169212307325275263953500510352361174263648462527662956033338091679269351625050601032724213450491129880972584937088142037591538681081613258882424952706864122228032494692557741173063503141774582707471376689239918679713441629192684607784865920578806445795364835764582152011293102598042445126096133663121901753283662337577781161946298768352947988303624737484410947502853521910330660827645184180283612585585559783291483135777821196002636930155590727329857045568054179287468219539764265879228770823943249785308669313814829048820067688015550769984417412884159048460159018255601541388931706485747690876577636050969617927820283779773320310740521290082912488694263976896239503000604944433889724614122142722496059841777976067949146991296826092336716782408610638866239718163655335269912587271095405825189800356762786110601745714466769086734374493187400528760833896955995467201509613941182780000510474925054005433861058172234032424266251384888720252152369215257686298842334437873042702590895449012290510665126500671139298320217712438525769323713042632222783005604608750901721751137363857311498254178294267410746920791311822673215639653085710335601}
23941 590352202426312070653121506827495962594811609067430026800386769606654361810095: {837515,1005018,1196450,1435740,1531456,1722888,1938249,2080083,2272115,2726538,2846123,3420131,3849671,4065890,4226583,4421315,4879068,4997399,5136995,5284331,5305578,5499530,5787914,5905523,6164394,6599436,6857291,7649751,7698698,7858823,7996115,8149559,8705788,8942714,9009923,9423515,9595338,9724451,9782211,9796130,9993962,10193771,10443863,10567778,10633683,10998140,11226890,11298551,11308218,11755356,12273995,12436840,12591611,12720652,12731771,12985715,13165043,13197768,13472268,13607031,13991445,14030931,14562530,14728794,14732872,14847489,14924208,15024923,15247562,15582858,16016099,16163836,16574481,16789734,16849931,17031431,17182151,17475036,17718218,17836311,17846423,17883932,18172360,18307523,18689018,19100883,19157171,19374995,19509143,19719098,19731525,20443905,20744332,21046960,21546074,21806832,22020011,22043991,22763272,22911995,22947719,23249994,23558498,23677830,24036083,24071330,24532686,24545930,24610593,24753148,25256352,25278794,25311740,25429811,25439176,25494890,25608681,26995991,27173123,27354184,27382331,27481683,27494394,27783623,28170140,28315011,28413396,28619073,28759948,28774571,28885596,29180138,29298325,29455116,29634760,29764643,30050891,30095051,30337499,30374088,30486525,30593868,30773457,30981962,31284851,31744391,31865258,32074091,32324968,32518960,32896994,33339105,33471371,33697034,33710583,33751523,33804168,34070325,34170849,34510156,34537431,34911098,35157990,35361640,35561712,36270515,36341680,36365589,36583830,36600771,36969995,37203482,37264634,37501856,37681658,38029689,38515516,38811976,39022752,39197051,39290723,39295451,39690890,39764315,39781845,39890883,40006926,40301603,40642058,40768252,40884390,41055971,41085640,41106530,41487323,41854750,41940183,42059891,42189588,42433968,42594923,42614231,42637178,42677565,42934442,42986723,42992930,43011938,43167171,43398465,43524618,43578311,43610016,43651034,43663473,43900596,43944995,44363994,44640515,44800131,44888711,45207831,45349130,45522736,45693921,45820130,45958588,46022583,46221345,46291696,46613783,46724915,47220794,47629068,47717178,47738214,48138620,48763708,49061268,49302768,49316723,49327836,49381772,50225700,50774423,50806625,50855354,51213078,51231458,51284805,51427271,51575915,51585131,51591516,51604778,51980325,52078158,52733994,52943594,53568618,53574080,53830940,54339995,54397525,54418956,54601403,54688151,54703792,54844552,54984156,55051799,55445680,55465614,55671836,55876691,56069898,56277772,56760482,56937171,57117962,57166408,57766344,58140183,58240360,58268651,58362119,59341251,59525018,59792500,60270840,60543623,60752769,60849890,60939651,60967950,61025291,61306871,61517771,61541766,61700121,61755016,61891098,62254730,62358620,62376390,62609291,62799539,62932791,63434123,63483434,64126730,64288896,64312209,64367531,64440145,64597128,64730428,64747898,64987137,65032480,65180104,65207994,65277030,65409323,65469251,65520405,65841731,66264458,66499994,66534816,66574652,67298691,67301363,67804695,68329211,68657111,68717068,69474393,69628832,69662440,69888432,69962594,70851351,71314211,71605691,71751000,72061288,72118658,72324725,72325008,72534890,72671769,72743831,72746762,72817491,73019868,73057211,73161540,73327617,73336418,73452525,73467530,73601723,74211371,74705676,74830344,74851668,74886995,75031223,75747371,76150165,76298108,76534400,76952076,77032691,77258051,77328174,77710750,77776072,78038976,78125930,78332436,78349360,78370245,78624486,78683511,78863176,79084811,79774871,79930823,80207234,80328956,80423579,80596442,80719875,80749943,80913143,81016311,81068949,81365634,81645299,82339715,82500551,82542791,82954371,83117788,83240930,83414138,83529928,83594928,83728083,84184137,84364715,84736418,85035740,85038995,85658583,85712915,85800971,85923959,86101200,86490890,86789670,87041868,87149258,87297914,87459251,87498081,87793848,87882530,88143030,88161036,88250978,88352211,88630499,88721073,89077115,89114858,89503383,89864394,90048956,90208657,90527459,90690620,90696705,90705611,90994394,91380198,91417322,91841280,92057350,92105111,92472040,92563671,92575648,93252900,93441890,93751116,93971169,94019232,94044294,94338923,94560554,94855432,95123831,95828963,96369591,96654371,96743152,96823658,96863850,97323731,97547738,97964032,98161931,98167240,98768079,98807658,99116423,99273971,99469760,99889116,...,3569039869975586692438485622721447890377946160505979334597290381382841738860558485962200061117001637722106323083244311995715790147410007899810281949121189813395971938612411920537405658061472321630070397092491157826335837228187738650498408925058271876919186721638221412885462592846641698837407934222184438353364988019515512347417466470835755295618461498430589678426165686514576986923356590199558228798372487407703141258644864021990845795502779561364789168349435195901016288557557372852277065271308442250014111766970871938076130276672985593856071590374451485946114224339476101881915985893357781335561707216866184921905046783812810991575130018535680175759462099395273321023584009296137465688519553694648709163264667112033773288962525093390705018534751107069047066079139377155302000377200795802130608276871441458267242572715995268121281400604151160764640327234678255677789440290164365691890524598405109789152353397370199738166264786095755360205327204037190577198203062435619380241790202639888166568779582635798973391466853580719517440308739432399835534833201853027629872831944555957914144510655936459484295036851708166896145372510817422384529604681415421620627812468452398815120798873848729982939491794298538330811515758382478220016389111902376327223773795474752317168266459000307518389126008345548895921661850306492256182365856432960376802800488465049863937188022316320255389618975432195007985586121641721787990352809261020238110880931095972255706054618942447654615080281013293582106060367146429281590596340178906591429436791234018009590825271818970009945214789255820137747675188424516257219760785527461102639940332537285224197096347984691120824883600310492380388104438649782337620906691250565516853896963489828761510003619788603420624720624070813108616880014770613998050490758478936953897013805676968040889040505294408389239933506837697719962667454609382244361612911053105091184185141172091853251929013561499957571776653773660967020432685363635788754774184423028314981112332253439502401645261439239983270980211464565254109920893002418220560489033311492149351985705963384028213935944546673928909536973707100178774425565310549985186801179871508312429569861088097997636511708383976277564775671913090947209735253189050656611185926408222265648373412989246657837824958187366764626391609925959182562086030801582336343833985944906084465736123955437843237545482641553953972505660633367450838601806170630244410923456952497900384186815500890030238502106324188993029837904627495951728608118289935158121219294025561611220075422670481280988473983523545489845125491719877631191381648154830416989062629172379175939429315980164323448003453576776538478275390378845700166064818450827344122268038892283076433700351938000680469814899018197950036883941377784122239025802166734134710298951267321506507963446582784189383455384908108817678509899936942485496304043326256743654897418004189032776943295168918986558239617922172256912810379821227438408594393819781019442869348390803464056593501461511550829202337711549783437041549261731691137263984404832983312547930003804695880440881103526912240378150114114079711055310847703761594670182573540787636439809394090738905716624292719685687838971694431924333047078225751753105398426756917354067693312556550512212064613545357674135388518575608647663587835436848067959490570427045039697760414320695053443883318259018635861652670667473259245186299485496190296661413122370634757265529321729101456448955709878147518488319624218207113693216783028127207766919733809017048147468994285955692115645832657583200705014445195941327289602012818588243706667347299900072007245148077562978709899021668513184960336203158953676915065123112583830723603454527265349720680886835334228185731093623616584701025764950723509630377340806145001202295668183151809748664338904392356547662561055082430230954186204114280447468}
23942 592426934979175838033137295072813261825791249569730920248783142960648541250792: {311077,526438,741241,1027657,1100182,1340024,1386838,1482358,1507527,1742437,1794675,1914320,1959718,2153610,2245942,2297184,2532022,2584332,2597797,2773444,2913238,3198982,3389398,3635384,3960262,4089807,4300741,4724857,5100262,5195158,5289337,5384902,5635444,6048502,6098835,6414841,6505424,6616678,7074104,7184278,7318602,7395877,7940182,7958367,8219192,8223382,8233957,8249295,8506438,8681871,8799248,8930377,9166342,9246591,9354742,9448918,9899154,10179397,10199668,10882235,11548047,11891878,12454102,12734998,12793784,12828598,12891263,13042948,13058682,13109302,13344841,13414071,13747675,14178244,14393007,14510662,14694195,14697238,14709241,14790502,14976982,14990943,15077624,15546050,15629158,15660037,15673808,15851667,15900815,15908422,16066441,16373542,16497210,16840335,16931158,16962327,17012197,17147017,17580982,17597024,17633034,17820037,17859238,17963024,18044662,18142708,18416090,18655260,18707908,18759241,18878278,19080978,19248358,19638392,19796652,19898944,19917863,20204795,20208402,20264758,20361097,20777144,20818342,21843795,21923782,22093191,22099308,22259279,22354915,22386312,22715450,22871343,23300048,23374287,23402341,23781748,23852758,23934911,24245754,24494182,25184601,25317718,25467844,25930415,26212554,26308700,26577327,26596198,26687398,26825898,27258540,27311941,28033527,28053478,28284347,28326262,28454090,28598902,28871398,29075776,29242441,29391988,29498617,29578647,29882341,29959942,30141142,30774838,30941435,30999992,31116498,31537657,31570440,31639675,31798970,31822879,32319111,32710248,32802697,32814124,33432517,33675136,33960479,34144908,34192730,34291078,34470742,34829878,34874991,35212675,35337747,35516745,35816182,35949935,36106995,36642244,36659192,36799029,36818895,36889942,37043450,37049977,37129722,37173637,37425958,37753348,37884528,37918191,37967610,38050582,38158764,38242335,38514128,38897317,39273488,39386422,39509497,39631717,39653158,39832394,40406210,40452502,40485241,40498784,40505234,40629958,40648700,40718662,40791824,40896022,41031276,41241591,41456377,41958838,42255210,42312598,42620094,42754438,42904441,43107622,43137695,43139922,43328394,43548742,43770207,43864057,44182674,44202050,44429782,44452140,44869702,44947444,45072224,45427100,45532297,45561132,45748342,45890802,46049908,46472943,46712998,46715257,46877320,47325862,47415616,47588278,47797887,47865818,47891017,47988983,48144395,48487452,48514970,48636502,48778440,48801028,48898198,49176037,49345491,49408741,49641157,49682422,50020607,50545551,50567941,50706252,50960315,51246982,51357050,51375097,51507238,51765234,52030336,52366647,52546822,52736985,52979302,53042460,53187844,53324998,53342568,54035639,54512520,54568441,54619078,54875745,55135702,55565782,55805223,55896951,55909558,55920244,56252784,56522487,56578624,56591497,56682118,56903420,57032591,57448235,57556228,57773274,57864620,57927241,58032824,58146688,58217964,58259557,58394278,58534128,58735942,58906678,58992022,59151992,59252617,59536335,59674198,59733508,59759398,60010389,60014902,60173275,60277108,60925228,60954635,60963087,61152378,61326585,61363444,61628460,61659795,61714582,61727215,61968982,62782125,63053627,63069718,63284382,63492358,63505424,63622904,63650952,63955767,64336438,64401663,64489395,64517907,64757878,64933583,65286927,65415024,65476551,65599558,65737024,65770448,65829637,65850894,66103798,66545991,66775222,66967600,67026742,67278118,67288675,68023695,68054063,68135941,68284104,68379740,68555690,68616358,68655241,68661827,68730195,68788688,68862457,68937882,69005279,69117142,69307100,69367318,69437544,69589795,69688441,69783958,70283398,70311992,70347215,70407397,70831191,70918777,71363542,71424824,71443602,71458010,71530057,71575767,71607321,71733241,72207930,72558608,72800450,72946297,73020022,73088687,73145562,73312208,73591902,73845862,73954152,73991754,74072658,74093302,74258182,74340598,74448037,74740625,74759864,75044197,75328342,75338550,75916228,76032037,76283031,76425157,76819617,76847187,77021792,77193770,77387274,77402917,77407167,77520244,77542342,77948275,78117237,78470137,78663241,79011862,79100991,79121668,79174822,79415391,80151238,80352927,80361120,80578441,80746410,80913035,80963158,81003692,81252868,81290600,81336457,81475130,81611542,81628434,81807877,82055688,82178038,82266828,82420582,82476234,82521464,82662982,82824502,82998503,83168520,83198421,83218315,83308678,83507754,83582857,83792278,83860741,83910388,84104847,84275302,84416658,84650258,85057417,85140723,85676943,85718528,85720918,85749612,85896335,86129504,86603941,86649516,86921638,86943992,87036040,87078050,87360540,87640342,87683077,87772537,87879622,88119143,88198438,88396741,88713088,88914838,89287527,89688750,89731588,90076610,90406260,90502198,90771337,90858277,90977158,91274835,91291897,91293478,91451925,91688518,91895941,92132159,92312649,92632524,92752741,92836647,92872091,93184576,93186022,93343318,93382095,93438527,93537930,93564585,93771397,93814822,94276837,94468468,94879103,95030137,95225151,95372635,95668000,95773222,96163702,96190095,96433344,96695354,96895692,97089988,97095642,97121847,97177078,97220090,97359824,97548720,97770156,97811991,97915545,97936700,98265382,98548741,98578970,99273142,99396687,99607568,99749991,99773792,99802224,99861978,...,5353559804963380038657728434082171835566919240758969001895935572074262608290837728943300091675502456583159484624866467993573685221115011849715422923681784720093957907918617880806108487092208482445105595638736736739503755842281607975747613387587407815378780082457332119328193889269962548256111901333276657530047482029273268521126199706253632943427692247645884517639248529771865480385034885299337343197558731111554711887967296032986268693254169342047183752524152793851524432836336059278415597906962663375021167650456307907114195415009478390784107385561677228919171336509214152822873978840036672003342560825299277382857570175719216487362695027803520263639193149092909981535376013944206198532779330541973063744897000668050659933443787640086057527802126660603570599118709065732953000565801193703195912415307162187400863859073992902181922100906226741146960490852017383516684160435246548537835786897607664683728530096055299607249397179143633040307990806055785865797304593653429070362685303959832249853169373953698460087200280371079276160463109148599753302249802779541444809247916833936871216765983904689226442555277562250344218058766226133576794407022123132430941718702678598222681198310773094974409237691447807496217273637573717330024583667853564490835660693212128475752399688500461277583689012518323343882492775459738384273548784649440565204200732697574795905782033474480383084428463148292511978379182462582681985529213891530357166321396643958383559081928413671481922620421519940373159090550719643922385894510268359887144155186851027014386237907728455014917822183883730206621512782636774385829641178291191653959910498805927836295644521977036681237325400465738570582156657974673506431360036875848275280845445234743142265005429682905130937080936106219662925320022155920997075736137718405430845520708515452061333560757941612583859900260256546579944001181914073366542419366579657636776277711758137779877893520342249936357664980660491450530649028045453683132161276634542472471668498380159253602467892158859974906470317196847881164881339503627330840733549967238224027978558945076042320903916820010893364305460560650268161638347965824977780201769807262468644354791632146996454767562575964416347163507869636420814602879783575984916778889612333398472560119483869986756737437281050146939587414888938773843129046202373504515750978917359126698604185933156764856318223962330930958758490950051176257902709255945366616385185428746850576280223251335045357753159486283489544756856941243927592912177434902737181828941038342416830113134005721921482710975285318234767688237579816446787072472232245625483593943758568763909143973970246485172005180365164807717413085568268550249097227676241016183402058338424614650550527907001020704722348527296925055325912066676183358538703250101202065448426900982259761945169874176284075183077362163226517764849905413728244456064989385115482346127006283549165414942753378479837359426883258385369215569731841157612891590729671529164304022586205196084890252192267326243803506567324675155562323892597536705895976607249474968821895005707043820661321655290368360567225171171119566582966271555642392005273860311181454659714091136108358574936439079528531758457541647886499570617338627629658097640135376031101539968834825768318096920318036511203082777863412971495381753155272101939235855640567559546640621481042580165824977388527953792479006001209888867779449228244285444992119683555952135898293982593652184673433564817221277732479436327310670539825174542190811650379600713525572221203491428933538173468748986374801057521667793911990934403019227882365560001020949850108010867722116344468064848532502769777440504304738430515372597684668875746085405181790898024581021330253001342278596640435424877051538647426085264445566011209217501803443502274727714622996508356588534821493841582623645346431279306171420671202}
23943 594508911793400989112089353776004736332631424283764484461903866924872091284059: {789657,1172521,1650273,1675030,2010036,2080257,2223537,2392900,2871480,2939577,3062912,3180961,3230415,3368913,3445776,3466805,3798033,3876498,4041973,4160166,4369857,4544230,4798473,5084097,5453076,5692246,5906017,5940393,6048977,6189841,6840262,6909701,7044305,7191793,7650393,7699342,7792737,8077353,8131780,8453166,8842630,9072753,9631297,9758136,9925017,9994798,10273990,10568662,10611156,10776417,10977903,10999060,11194561,11492533,11575828,11811046,11910273,12328788,12335073,12749585,12759657,13192921,13198872,13352833,13714582,13749513,13921457,14032113,14072977,14173377,14848731,15299502,15397396,15493577,15717646,15992230,16299118,16303685,16792561,17183593,17411576,17722805,17837817,17885428,18019846,18180001,18681153,18847030,18928117,19079321,19102497,19190676,19242897,19448902,19564422,19588023,19592260,19663953,19987924,20387542,20887726,21135556,21267366,21509573,21765993,21996280,22045857,22185753,22453780,22465473,22517897,22597102,22616436,22640293,22678385,23319075,23384885,23443737,23510712,23862633,24547990,24560313,24745815,24873680,25183222,25396737,25441304,25463542,25806713,25971430,26330086,26371473,26395536,26449551,26476241,26788857,26944536,27066993,27124993,27214062,27624135,27982890,28061862,28317417,28384997,28621467,28872537,29125060,29457588,29465744,29607017,29694978,29727185,29848416,30049846,30053413,30312603,30369961,30397137,30495124,31165716,31227513,31817377,31834805,31904353,32032198,32076793,32327672,32676661,32885673,32885875,33148962,33579468,33699862,34062862,34073175,34297241,34364302,34950072,35436436,35672622,35692846,35767864,35779137,36344720,36368631,36615046,36739985,36741273,37378036,37976577,38201766,38314342,38749990,39018286,39318831,39438196,39463050,39894297,40031097,40238847,40887810,41017655,41488664,42080217,42093920,42489393,42681135,42898353,43092148,43307097,43326761,43613664,43913161,44040022,44087982,44111593,44939913,45211713,45526544,45744773,45802805,45823990,45895438,46162257,46499988,46674747,46769657,47116996,47191685,47355660,47698455,48072166,48142660,48520693,48782057,49065372,49091860,49221186,49506296,49879841,50362273,50512704,50557588,50623480,50778721,50810875,50859622,50878352,50989780,51217362,51289095,51436617,51706113,51757993,52244817,53724273,53991982,54346246,54708368,54764662,54963366,54988788,55331537,55334913,55404581,55565175,55567246,55670041,55694583,56138937,56184305,56340280,56630022,56783875,56826792,56951415,57075873,57238146,57361217,57519896,57549142,57562385,57771192,58360276,58367017,58596650,58603793,58910232,59079633,59269520,59479737,59529286,59748591,60101782,60190102,60609315,60674998,60678753,60748176,60757851,60944937,60973050,61001285,61077993,61187736,61344033,61522993,61546914,61963924,62496721,62569702,62938257,63382815,63468897,63488782,63730516,63930141,64131657,64148182,64372933,64649936,64661433,64709883,64992591,65037920,65061217,65323113,65414881,65793988,66274011,66303075,66484805,66644673,66678210,66942742,67304553,67394068,67421166,67503046,67608336,68140650,68204737,68341698,68474417,68622513,68662873,68836203,69020312,69074862,69372041,69646321,69748277,69822196,69857573,69900305,70018817,70069497,70315980,70723280,70896961,70988793,71123424,71129275,71382417,71676257,71798727,71945285,72206281,72262121,72330775,72541030,72683360,72731178,72772455,72954753,73167660,73201542,73347297,73587817,73939990,74217637,74406964,74519537,74523633,74529268,74666885,74792953,75003712,75346385,75363316,76059378,76075993,76156535,76704305,76870473,77031032,77035575,77260857,77623952,77647851,77995877,78045504,78394102,78581446,78590902,78820233,79381780,79468953,79528630,79563690,79781766,79987497,80013852,80603206,81056057,81284116,81536504,81652177,81768780,81928617,82111942,82171280,82213060,82703553,82974646,83348673,83709500,83864337,83880366,84119782,84379176,84867936,85023177,85189846,85228462,85274356,85355130,85474675,85868884,85973446,85985860,86023876,86334342,86633875,86659911,86796930,86893637,87049236,87156622,87220032,87302068,87326946,87591417,87801192,87889990,88103913,88360017,88488033,88727988,89281030,89511297,89600262,89630897,89639097,89777422,90022353,90216203,90415662,90698260,91045472,91235273,91387842,91640260,91728567,91917176,92045166,92442690,92571873,92583392,92894513,92953473,93227566,93449830,94279393,94441588,94489313,94604577,94895285,94926573,95238537,95258136,95434356,95476428,96240281,96277240,96504657,96900305,97136817,97527416,97741697,98122536,98399337,98559941,98605536,98633446,98655672,98763544,98776341,98902085,99155697,99211937,99752657,...,8030339707445070057986592651123257753350378861138453502843903358111393912436256593414950137513253684874739226937299701990360527831672517774573134385522677080140936861877926821209162730638312723667658393458105105109255633763422411963621420081381111723068170123685998178992290833904943822384167851999914986295071223043909902781689299559380449415141538371468826776458872794657798220577552327949006014796338096667332067831950944049479403039881254013070775628786229190777286649254504088917623396860443995062531751475684461860671293122514217586176161078342515843378757004763821229234310968260055008005013841237948916074286355263578824731044042541705280395458789723639364972303064020916309297799168995812959595617345501002075989900165681460129086291703189990905355898678063598599429500848701790554793868622960743281101295788610989353272883151359340111720440736278026075275026240652869822806753680346411497025592795144082949410874095768715449560461986209083678798695956890480143605544027955939748374779754060930547690130800420556618914240694663722899629953374704169312167213871875250905306825148975857033839663832916343375516327088149339200365191610533184698646412578054017897334021797466159642461613856537171711244325910456360575995036875501780346736253491039818192713628599532750691916375533518777485015823739163189607576410323176974160847806301099046362193858673050211720574626642694722438767967568773693874022978293820837295535749482094965937575338622892620507222883930632279910559738635826079465883578841765402539830716232780276540521579356861592682522376733275825595309932269173955161578744461767436787480939865748208891754443466782965555021855988100698607855873234986962010259647040055313772412921268167852114713397508144524357696405621404159329494387980033233881495613604206577608146268281062773178092000341136912418875789850390384819869916001772871110049813629049869486455164416567637206669816840280513374904536497470990737175795973542068180524698241914951813708707502747570238880403701838238289962359705475795271821747322009255440996261100324950857336041967838417614063481355875230016340046458190840975402242457521948737466670302654710893702966532187448220494682151343863946624520745261804454631221904319675363977375168334418500097708840179225804980135106155921575220409381122333408160764693569303560256773626468376038690047906278899735147284477335943496396438137736425076764386854063883918049924577778143120275864420334877002568036629739229425234317135285411865891389368266152354105772743411557513625245169701008582882224066462927977352151532356369724670180608708348368438225390915637853145863715960955369727758007770547747211576119628352402825373645841514361524275103087507636921975825791860501531057083522790945387582988868100014275037808054875151803098172640351473389642917754811264426112774616043244839776647274858120592366684097484077673223519190509425323748122414130067719756039140324887578053823354597761736419337386094507293746456033879307794127335378288400989365705259850987012733343485838896305058843964910874212453232842508560565730991982482935552540850837756756679349874449407333463588007910790466772181989571136704162537862404658619292797637686312471829749355926007941444487146460203064046652309953252238652477145380477054766804624166795119457243072629732908152908853783460851339319960932221563870248737466082791930688718509001814833301669173842366428167488179525333928203847440973890478277010150347225831916598719154490966005809737761813286217475569401070288358331805237143400307260203123479562201586282501690867986401604528841823548340001531424775162016301583174516702097272798754154666160756457107645773058896527003313619128107772686347036871531995379502013417894960653137315577307971139127896668349016813826252705165253412091571934494762534882802232240762373935468019646918959257131006803}
23944 596598157999689824511701514896952017311126489006086565068081596681361888877605: {622154,1052876,1482482,1694983,2055314,2200364,2512545,2680048,2692903,2773676,2964716,2991125,3015054,3119503,3484874,3589350,3828640,3919436,4307220,4491884,4536823,4594368,4678159,5064044,5168664,5195594,5546888,5814747,5826476,6087559,6240249,6397964,6649303,6778796,6816345,7270768,7349863,7489759,7920524,8179614,8538369,8601482,9023863,9449714,10164725,10200524,10260393,10390316,10578674,10769804,11270888,11549013,12097004,12197670,12679749,12829682,13010848,13233356,13263945,13710559,13748825,14148208,14368556,14392759,14469785,14637204,14791754,14992197,15073159,15209023,15235129,15410985,15852993,15880364,15916734,16438384,16446764,16467914,16498590,17012876,17238343,17363742,17598496,17716569,17860754,18332684,18493182,18709484,18897836,19117759,19246745,19785559,19798308,19918903,20318503,20358794,20399336,20451559,20571873,21645823,21764470,22261141,22306783,22356785,22570663,22949253,23096094,23576469,23783756,23988345,24448677,24490325,24908204,24932623,24984905,25469996,25587568,25657196,25782526,26085896,26117364,26218604,26419445,26689682,26828142,27029769,27141943,27495350,27658759,27787783,28067225,28270545,28286713,28356488,28786014,29021324,29173353,29346633,29388390,29394476,29418482,29458543,29581004,29586559,29953964,29981886,30155248,30581313,30989983,31092100,31258316,31296881,31320074,31331589,31347616,31703334,31801630,31816844,31825541,31901049,32132882,32258263,32747084,32994420,33680670,33862316,33895653,33896263,33924654,34024394,34294034,34773223,35161964,35194048,35266068,35640074,35718476,35771143,35926048,36089324,36285416,36302581,36406325,36516559,36821985,36832180,37135759,37310520,37415816,37518482,37608857,37753159,37756556,37774833,38118905,38161956,38195313,38496716,38957145,39276784,39495129,39593304,39594559,39797888,39835726,40082863,40409590,40416804,40529516,40722194,40821093,41298583,41419759,41554288,41636684,41974335,42024559,42092793,42145303,42507103,43318009,43687590,43847564,44186382,44198616,44295545,44518558,44542467,44709830,44772624,45074769,45140503,45430900,45496903,45742686,46600096,46680223,46722545,46748574,46804682,47563496,47705516,47869822,47973559,48048297,48491508,48675343,48988364,49297745,49723159,49723443,50329909,50369202,50418463,50549793,50635436,50880559,50935688,51094293,51341503,51546453,51860830,52145383,52425108,52488823,52617400,53154654,53173759,53192396,53374796,53508933,53539269,53651796,53865185,54422743,54517080,54623882,54922569,55887583,56067054,56106956,56568694,56652524,56908180,57197804,57302649,57471513,57742796,58124985,58151552,58338823,58484882,58527429,58783976,58896245,58997234,59157294,59194575,59221543,59764682,59880559,59919884,59990143,60178325,60282284,60392773,61331715,61364825,61516759,61549676,61882870,61999984,62166703,62232996,63075314,63140880,63196985,63244183,63279350,63566023,63597940,63645758,63737225,64638222,65271559,65420496,65605394,65628248,66060033,66131973,66222823,66510917,66865034,67272943,67350272,67402153,67920958,68289816,68385460,68582156,68735985,68843157,68941484,69659756,69749982,70425350,70675494,70891663,70993759,71033490,71344441,71632364,71899870,72108249,72112063,72213990,72950345,73284488,73318384,73522759,73598058,73637790,73779884,73831779,74086900,74099954,74259444,74347274,74851916,75506696,75769056,75836382,75908263,75935220,75974921,76006759,76101164,76289433,76317528,76484670,76498159,76739689,76826043,76889983,77028256,77454905,77794634,77864503,78542383,78546976,78772844,78928159,79018994,79263434,79306316,79663145,79664788,79887559,80427529,80812420,80905004,80970482,80987973,80997568,81010468,81218623,81259916,81297400,81437324,81519369,81583648,81792044,82062552,82146993,82242485,82445049,82483182,82912754,83188759,83350869,83840537,83917676,84208063,84242585,84510420,84625196,84945033,85240188,85336489,85508876,85583983,85808882,85857219,85857223,86215244,86275390,86279844,86323713,86418101,86656788,87097484,87213703,87277745,87540414,87728114,87751759,87841183,87894975,88365348,88404100,88859564,88904280,89293929,89614543,89739404,89894888,90144448,90152673,90285153,90854200,90925663,91012497,91064594,91122264,91459575,91496684,91704559,91781604,92099816,92320371,92904583,92945886,93008705,93161585,93425996,93430514,93753103,93754640,93854553,93921943,94204145,94651724,94831232,95176556,95233173,95595774,95731636,95782034,95977966,96222273,96288790,96748159,96974904,97029940,97075183,97273004,97425713,97556880,97602056,97796396,97887703,98352074,98452183,98486101,98690982,98817482,99227225,99282314,99364844,99491143,...,10707119609926760077315456868164343671133838481517938003791871144148525216581675457886600183351004913166318969249732935987147370442230023699430845847363569440187915815837235761612216974184416964890211191277473473479007511684563215951495226775174815630757560164914664238656387778539925096512223802666553315060094964058546537042252399412507265886855384495291769035278497059543730960770069770598674686395117462223109423775934592065972537386508338684094367505048305587703048865672672118556831195813925326750042335300912615814228390830018956781568214771123354457838342673018428305645747957680073344006685121650598554765715140351438432974725390055607040527278386298185819963070752027888412397065558661083946127489794001336101319866887575280172115055604253321207141198237418131465906001131602387406391824830614324374801727718147985804363844201812453482293920981704034767033368320870493097075671573795215329367457060192110599214498794358287266080615981612111571731594609187306858140725370607919664499706338747907396920174400560742158552320926218297199506604499605559082889618495833667873742433531967809378452885110555124500688436117532452267153588814044246264861883437405357196445362396621546189948818475382895614992434547275147434660049167335707128981671321386424256951504799377000922555167378025036646687764985550919476768547097569298881130408401465395149591811564066948960766168856926296585023956758364925165363971058427783060714332642793287916767118163856827342963845240843039880746318181101439287844771789020536719774288310373702054028772475815456910029835644367767460413243025565273548771659282356582383307919820997611855672591289043954073362474650800931477141164313315949347012862720073751696550561690890469486284530010859365810261874161872212439325850640044311841994151472275436810861691041417030904122667121515883225167719800520513093159888002363828146733084838733159315273552555423516275559755787040684499872715329961320982901061298056090907366264322553269084944943336996760318507204935784317719949812940634393695762329762679007254661681467099934476448055957117890152084641807833640021786728610921121300536323276695931649955560403539614524937288709583264293992909535125151928832694327015739272841629205759567151969833557779224666796945120238967739973513474874562100293879174829777877547686258092404747009031501957834718253397208371866313529712636447924661861917516981900102352515805418511890733232770370857493701152560446502670090715506318972566979089513713882487855185824354869805474363657882076684833660226268011443842965421950570636469535376475159632893574144944464491250967187887517137527818287947940492970344010360730329615434826171136537100498194455352482032366804116676849229301101055814002041409444697054593850110651824133352366717077406500202404130896853801964519523890339748352568150366154724326453035529699810827456488912129978770230964692254012567098330829885506756959674718853766516770738431139463682315225783181459343058328608045172410392169780504384534652487607013134649350311124647785195073411791953214498949937643790011414087641322643310580736721134450342342239133165932543111284784010547720622362909319428182272216717149872878159057063516915083295772999141234677255259316195280270752062203079937669651536636193840636073022406165555726825942990763506310544203878471711281135119093281242962085160331649954777055907584958012002419777735558898456488570889984239367111904271796587965187304369346867129634442555464958872654621341079650349084381623300759201427051144442406982857867076346937497972749602115043335587823981868806038455764731120002041899700216021735444232688936129697065005539554881008609476861030745195369337751492170810363581796049162042660506002684557193280870849754103077294852170528891132022418435003606887004549455429245993016713177069642987683165247290692862558612342841342404}
23945 598694698815359270651335713014384074687111807175163178746069055000023570151783: {933231,1316095,1579314,2223723,2345042,2750455,3082971,3300546,3350060,3467095,3705895,4020072,4160514,4447074,4472479,4522581,4785800,4853527,4899295,5227311,5384025,5614855,5742960,5879154,6049483,6125824,6330055,6361922,6460830,6737826,6891552,6910279,6933610,7148791,7283095,7596066,7722607,7752996,7793391,7997455,8083946,8320332,8473495,8739714,9088460,9596946,9862027,9900655,10168194,10775743,10906152,11384492,11782207,11812034,11880786,12097954,12269421,12349579,12379682,12642571,12750655,12902223,12987895,13462255,13680524,13819402,14088610,14174571,14383586,15121255,15300786,15398684,15585474,15868011,15936631,16018783,16154706,16263560,16452631,16541695,16649239,16906332,17685260,17849419,17960695,18145506,18296505,18310591,19244523,19262594,19516272,19850034,19850455,19989596,20088967,20547980,20558455,21137324,21222312,21266095,21323947,21552834,21955806,21998120,22187631,22389122,22825159,22915855,22985066,23151656,23386855,23616331,23622092,23622295,23820546,23875101,23940607,24040111,24657576,24670146,24701871,24747885,24811927,25499170,25519314,25622167,26045613,26385842,26397744,26478463,26705666,26791131,27000523,27429164,27499026,27739773,27842914,28044379,28064226,28145954,28346754,28795399,29096311,29697462,29729695,29769631,30342583,30538191,30599004,30794792,30987154,31135255,31290103,31435292,31749739,31837495,31984460,32071495,32533447,32598236,32607370,32646705,32738839,32773255,33585122,34367186,34644141,34823152,34990111,35445610,35675634,35770856,36039692,36276655,36360002,36743095,36976255,37362306,37442455,37694060,37856234,38158642,38204994,38381352,38485794,38673789,38865125,38897804,39072895,39128844,39176046,39184520,39297319,39327906,39771055,39975848,40034523,40242213,40533103,40775084,40819327,40910959,40933855,41243025,41618059,41775452,42271112,42327895,42534732,43019146,43179021,43531986,43659979,43952455,43992560,44082585,44091714,44127723,44136607,44371506,44568727,44648095,44907560,44930946,44972829,45035794,45111655,45194204,45217183,45232872,45280586,45356770,45972439,46040225,46638150,46769770,46887474,46980111,47021424,47195695,47292223,47555001,47702445,47725266,48120895,48199323,48424027,48786151,49095980,49120626,49491630,49747360,49884043,50366444,50402143,50521005,50661895,50793474,50882608,50886981,50927084,51036591,51126511,51386359,51435979,51441051,51613426,51942860,52045855,52660172,52742946,52791072,52899102,52952482,53460111,53577714,53889072,54133986,54249986,54428124,54809455,55248270,55273231,55965780,56123724,56213407,56277723,56427211,56634834,56769994,56788625,57242934,57366031,57424717,57745074,58250120,58915176,58931488,58948903,59214034,59389956,59454370,59631895,59696832,59699191,59753589,60099692,60106826,60614385,60625206,60739922,60794274,60990248,61083291,61235455,61317163,61497487,61922767,62331432,62455026,63294295,63634754,63669610,63808706,64064396,64123927,64153586,64655344,65353322,65531385,65771346,65771750,66068359,66279573,66297924,66490495,66718495,66777837,66934879,67002847,67064745,67158936,67399724,67457479,68125724,68146350,68480203,68594482,68614029,68728604,69377863,69900144,70122861,70133695,70207023,70539403,70815655,70872872,71129431,71135225,71326183,71345244,71385692,71497255,71535728,71558274,71804733,72178495,72689440,72737262,72756043,73069519,73230092,73479970,73482546,74525791,74558503,74756072,74899855,75043819,75352855,75553803,75953154,76403532,76628684,76937095,77045623,77499980,77791245,78036572,78076111,78435967,78637662,78658027,78876392,78926100,79497425,79510699,79731981,79788379,79788594,80062194,80477694,80587339,80763547,80814283,80924311,81470071,81775620,81935823,82035310,82749511,82941787,82977328,83374903,84100581,84160434,84187840,84853041,84978786,85010011,85362270,85401799,85481825,85727695,85796706,85938523,86176855,86184296,86614194,86653522,87074695,87227328,87614887,87727323,87826322,88080044,88175964,88223186,88439947,88495851,88735941,89540455,89647023,89879826,90423426,91053088,91132351,91489546,91565023,91605610,91647980,91790876,92155711,92224855,92324514,92608625,92824305,92999976,93078727,93349494,93539314,93564895,94156507,94228159,94233992,94383370,94612971,94711320,94919025,95126455,95139979,95396910,95468637,96144332,96248407,96285320,96670783,96957333,97041386,97045639,97564114,97749931,97860427,98130744,98183720,98408091,98442372,98466055,98833783,99012592,99132895,99580985,99705031,99759682,...,16060679414890140115973185302246515506700757722276907005687806716222787824872513186829900275026507369749478453874599403980721055663345035549146268771045354160281873723755853642418325461276625447335316786916210210218511267526844823927242840162762223446136340247371996357984581667809887644768335703999829972590142446087819805563378599118760898830283076742937653552917745589315596441155104655898012029592676193334664135663901888098958806079762508026141551257572458381554573298509008177835246793720887990125063502951368923721342586245028435172352322156685031686757514009527642458468621936520110016010027682475897832148572710527157649462088085083410560790917579447278729944606128041832618595598337991625919191234691002004151979800331362920258172583406379981810711797356127197198859001697403581109587737245921486562202591577221978706545766302718680223440881472556052150550052481305739645613507360692822994051185590288165898821748191537430899120923972418167357597391913780960287211088055911879496749559508121861095380261600841113237828481389327445799259906749408338624334427743750501810613650297951714067679327665832686751032654176298678400730383221066369397292825156108035794668043594932319284923227713074343422488651820912721151990073751003560693472506982079636385427257199065501383832751067037554970031647478326379215152820646353948321695612602198092724387717346100423441149253285389444877535935137547387748045956587641674591071498964189931875150677245785241014445767861264559821119477271652158931767157683530805079661432465560553081043158713723185365044753466551651190619864538347910323157488923534873574961879731496417783508886933565931110043711976201397215711746469973924020519294080110627544825842536335704229426795016289048715392811242808318658988775960066467762991227208413155216292536562125546356184000682273824837751579700780769639739832003545742220099627258099738972910328833135274413339633680561026749809072994941981474351591947084136361049396483829903627417415005495140477760807403676476579924719410951590543643494644018510881992522200649901714672083935676835228126962711750460032680092916381681950804484915043897474933340605309421787405933064374896440989364302687727893249041490523608909262443808639350727954750336668837000195417680358451609960270212311843150440818762244666816321529387138607120513547252936752077380095812557799470294568954671886992792876275472850153528773708127767836099849155556286240551728840669754005136073259478458850468634270570823731782778736532304708211545486823115027250490339402017165764448132925855954704303064712739449340361217416696736876450781831275706291727431921910739455516015541095494423152239256704805650747291683028723048550206175015273843951651583721003062114167045581890775165977736200028550075616109750303606196345280702946779285835509622528852225549232086489679553294549716241184733368194968155346447038381018850647496244828260135439512078280649775156107646709195523472838674772189014587492912067758615588254670756576801978731410519701974025466686971677792610117687929821748424906465685017121131461983964965871105081701675513513358699748898814666927176015821580933544363979142273408325075724809317238585595275372624943659498711852015882888974292920406128093304619906504477304954290760954109533609248333590238914486145259465816305817707566921702678639921864443127740497474932165583861377437018003629666603338347684732856334976359050667856407694881947780956554020300694451663833197438308981932011619475523626572434951138802140576716663610474286800614520406246959124403172565003381735972803209057683647096680003062849550324032603166349033404194545597508309332321512914215291546117793054006627238256215545372694073743063990759004026835789921306274631154615942278255793336698033627652505410330506824183143868989525069765604464481524747870936039293837918514262013606}
23946 600798559544637466399305812944416341145655805987850026941171121448216690575248: {406793,693593,884633,1123253,1244308,1266329,1409333,1599893,1742729,2105752,2123273,2368971,2693129,2964964,3025013,3389966,3517563,3734873,4110628,4112729,4187575,4254293,4400728,4584329,4725653,4950819,5025090,5360096,5384213,5385806,5547352,5929432,5982250,6030108,6088073,6239006,6240771,6369113,6556313,6670611,6696629,6969748,7178700,7397129,7490393,7657280,7838872,7956233,8188853,8328329,8614440,8818731,8931893,8983768,9024629,9073646,9163673,9188736,9348953,9356318,9542883,9626633,9691245,10106739,10128088,10337328,10391188,10400415,10550153,11093776,11360575,11394099,11424533,11629494,11652952,11700053,12125919,12175118,12480498,12795928,12799253,13109571,13298606,13483913,13557592,13632690,14166773,14230615,14303129,14395419,14439413,14541536,14699726,14979518,15210329,15252291,15753113,15841048,16359228,16700213,17076738,17100655,17202964,17239829,17554073,17718051,17821179,17912729,18047726,18146931,18226133,18569523,18899428,19163993,19248355,19831733,20257699,20329450,20364629,20401048,20453333,20520786,20729103,20780632,20896373,21132915,21157348,21161813,21382793,21539608,21575379,21912329,22106575,22541776,22572629,22951179,23098026,23143433,23378211,23800373,24194008,24232059,24395340,24455513,24847733,24978329,24986995,25359498,25659364,25684975,25760393,26021696,26421655,26466712,26496629,26527890,26945443,27218259,27421118,27497650,27919193,28091033,28296416,28348553,28737112,28785518,28893891,28939570,28948313,29274408,29503829,29527615,29583508,29589173,29775051,29984394,30015413,30146318,30418046,30470258,30821970,30992729,31299499,31705986,31760728,31833468,32329251,32876768,32893528,32933709,32935828,32997180,33522329,33583683,33648053,34025752,34286455,34476686,34477599,34692953,34727484,34978867,35196992,35317493,35433138,35691353,35721508,35730819,36665368,36986364,36987223,37005219,37056629,37139093,37180313,37418968,37612003,37795672,37797653,38235518,38248755,38278971,38493490,38904329,39294115,39571118,39578763,39596616,39598133,39638873,39837806,39980575,40058499,40330229,40637006,40717588,40747795,40798672,40903118,41143746,41221493,41248539,41342729,41463893,41764371,42028373,42096339,42218931,42520131,42551129,42872153,43291646,43528940,43951829,44230793,44446831,44522282,44546193,44613566,44713570,44946329,45049615,45141326,45540629,45619733,45898506,46192188,46448393,46480731,46723829,47117575,47152938,47430293,47567512,47976690,47977973,48622255,48897354,48911055,48980650,49262729,49727753,49816408,49865246,49969810,50377683,50423129,50692853,50885273,50939992,50968855,51175136,51269513,51314392,51384629,51499673,51550779,51565052,52035593,52150229,52171792,52219315,52234728,52437208,52608053,52836533,52838890,53168415,53366467,53379364,53513451,53656284,54059538,54283886,54352373,54540003,54540953,54990700,55317518,55575566,56043459,56117129,56134450,56492755,56541090,56573426,56676629,56712976,56784351,56937113,57237963,57307491,57345653,57572028,57716213,57728691,58042648,58344329,58346706,58602293,58693266,58764069,58776780,58786313,58788952,58836964,58917086,58991859,59006873,59153753,59162008,59173118,59263829,59907928,59963772,60251273,60310496,60651893,60797333,61162626,61369975,61522613,61979966,62013763,62172629,62184200,62516632,62593762,62640148,62663178,62695232,62820053,62958055,63406668,63603260,63633688,63651082,63658855,63714953,63802098,64035893,64265764,64427273,64516526,64528719,64928575,65277833,65297979,65411563,65494168,65825215,65988840,66137571,66158933,66439829,66557259,66895193,67314329,67361340,67396419,67553691,67724632,67791306,67792526,67849308,67920879,68035155,68048788,68253173,68461013,68588068,68944853,69016843,69546446,69957225,70079129,70154655,70323928,70331211,70388096,70532136,70932629,71000693,71034713,71280148,71436952,71542286,71587899,71852096,72178648,72220373,72355253,72523673,72570832,72605162,72812650,73033118,73128329,73463129,73630229,73643970,73664360,73680939,74230133,74237445,74271518,74529113,74621040,74831632,74860553,75036964,75124615,75217714,75356213,75411259,75506318,75513112,75549666,76047113,76190211,76237810,76323912,76390626,76505753,76603829,76930229,76993432,77093129,77420139,77914290,78453593,78550229,78553568,78603811,78990258,79114419,79186608,79189118,79256693,79348653,79428723,79595776,79671452,80080495,80086613,80165726,80213813,80366571,80689673,80819180,80833608,81037493,81059032,81200979,81258329,81374979,81444388,81642186,81793013,81887129,82200329,82454743,82597166,82839518,82872405,83108576,83228213,83273368,83383193,83846933,83948670,84049118,84185586,84249655,84290606,84913147,84952251,85014206,85044233,85154991,85157155,85227353,85440629,85864401,85910755,86617611,86636018,86862473,86952629,87252629,87375180,87695128,87701129,87760793,87790613,87850229,88372764,88397232,88475779,88503893,88591090,88821051,89037116,89084934,89181555,89232115,89419660,89535833,89545248,89622643,89788543,89828873,90062729,90149538,90150293,90160239,90281006,90861800,90935129,90937809,90993806,91109883,91191411,91485372,91537615,91656629,91742873,92999513,93200192,93360446,93445090,93452633,93497148,93609364,93682539,93791129,93847433,94268693,94352729,94548533,94716053,95126992,95411032,95452131,95504415,95713059,95739644,95785855,95797913,95935733,95947118,96096594,96210773,96230379,96840329,96874975,96983016,97330073,97350686,97438553,97545715,97844213,97925129,97976728,98029983,98595490,98657019,98657625,98943833,99084271,99446318,99446886,...,24091019122335210173959777953369773260051136583415360508531710074334181737308769780244850412539761054624217680811899105971081583495017553323719403156568031240422810585633780463627488191914938171002975180374315315327766901290267235890864260244143335169204510371057994536976872501714831467152503555999744958885213669131729708345067898678141348245424615114406480329376618383973394661732656983847018044389014290001996203495852832148438209119643762039212326886358687572331859947763512266752870190581331985187595254427053385582013879367542652758528483235027547530136271014291463687702932904780165024015041523713846748222859065790736474193132127625115841186376369170918094916909192062748927893397506987438878786852036503006227969700497044380387258875109569972716067696034190795798288502546105371664381605868882229843303887365832968059818649454078020335161322208834078225825078721958609468420261041039234491076778385432248848232622287306146348681385958627251036396087870671440430816632083867819245124339262182791643070392401261669856742722083991168698889860124112507936501641615625752715920475446927571101518991498749030126548981264448017601095574831599554095939237734162053692002065392398478927384841569611515133732977731369081727985110626505341040208760473119454578140885798598252075749126600556332455047471217489568822729230969530922482543418903297139086581576019150635161723879928084167316303902706321081622068934881462511886607248446284897812726015868677861521668651791896839731679215907478238397650736525296207619492148698340829621564738070584778047567130199827476785929796807521865484736233385302310362442819597244626675263330400348896665065567964302095823567619704960886030778941120165941317238763804503556344140192524433573073089216864212477988483163940099701644486840812619732824438804843188319534276001023410737256627369551171154459609748005318613330149440887149608459365493249702911620009450520841540124713609492412972211527387920626204541574094725744855441126122508242710716641211105514714869887079116427385815465241966027766322988783300974852572008125903515252842190444067625690049020139374572522926206727372565846212400010907964132681108899596562344661484046454031591839873562235785413363893665712959026091932125505003255500293126520537677414940405318467764725661228143367000224482294080707910680770320879405128116070143718836699205441853432007830489189314413209275230293160562191651754149773733334429360827593261004631007704109889217688275702951405856235597674168104798457062317318230234672540875735509103025748646672199388783932056454597069109174010541826125045105314676172746913559437591147882866109183274023311643241634728358885057208476120937524543084572825309262522910765927477375581504593171250568372836162748966604300042825113424164625455409294517921054420168928753264433793278338323848129734519329941824574361777100052292452233019670557571528275971244367242390203159268117420974662734161470063793285209258012158283521881239368101637923382382006134865202968097115779552961038200030457516688915176531894732622637359698527525681697192975947448806657622552513270270038049623348222000390764023732371400316545968713410112487613587213975857878392913058937415489248067778023824333461439380609192139956929859756715957431436141431164300413872500385358371729217889198724458726561350382554017959882796664691610746212398248375792066155527005444499905007521527099284502464538576001784611542322921671434831030451041677495749796157463472898017429213285439858652426708203210865074995415711430200921780609370438686604758847505072603959204813586525470645020004594274325486048904749523550106291818396262463998482269371322937319176689581009940857384323318059041110614595986138506040253684881959411946731923913417383690005047050441478758115495760236274715803484287604648406696722287121806404058940756877771393020409}
23947 602909765578961358706363057011371847000071934646751757060044396740205870892216: {1555385,1842533,1866462,2632190,3158628,3706205,3850637,4447446,4690084,4853933,4998653,5084949,5138285,5188253,5285657,5500910,6165942,6601092,6700120,6859013,6934190,7149389,7411790,7537635,7723253,7860797,8040144,8078709,8321028,8631149,8712185,8862077,8894148,8944958,8973375,9045162,9358509,9571600,9707054,9726893,9798590,10196333,10454622,10768050,11196437,11229710,11301389,11485920,11758308,11862893,12098966,12251648,12594773,12660110,12723844,12734969,12921660,12988985,13168349,13475652,13610469,13783104,13820558,13860917,13867220,14034477,14297582,14566190,14594957,15028697,15192132,15445214,15505992,15586782,15994910,16167892,16640664,16946990,17035709,17444241,17461397,17479428,17591453,17850917,18176920,18183053,18262677,18607973,18720747,18847157,18931289,19193892,19724054,19801310,19947909,20327837,20336388,20449035,20731733,21169757,21474413,21503705,21551486,21812304,22049589,22469277,22768984,23158373,23564414,23624068,23624285,23761572,24195908,24538842,24699158,24752153,24759364,25144973,25285142,25501310,25615107,25804446,25975790,26446685,26757149,26924510,27002789,27071589,27361048,27389213,27638804,27790637,28177220,28349142,28568573,28767172,28781837,29606537,29772533,30242510,30494175,30601572,30781179,30797368,31170948,31292729,31736022,31822709,31873262,31909709,32037566,32074205,32082197,32183093,32309412,32527120,32682137,32741597,32905262,33071213,33083390,33143357,33298478,33812664,34647039,34777133,35370520,35698838,35921390,36209273,36291012,36593010,36621182,36763637,36979385,38039247,38489046,38525188,39032544,39300617,39700068,39700910,39791835,39979192,40177934,41095960,41116910,41131677,41169785,41246475,41621573,41721077,42203033,42274648,42444624,42532190,42624989,42647894,43105668,43178277,43409355,43589357,43634453,43911612,43920533,43996240,44375262,44572493,44651885,44778244,44900093,44976591,45219477,45627069,45650318,45705387,45724013,45831710,45882557,45970132,46232955,46303312,46773710,46783577,47232662,47244184,47244590,47558979,47641092,47750202,47881214,48080222,48214997,49315152,49329149,49340292,49403742,49495770,49623854,50406389,50787317,50896985,50998340,51038628,51244334,51440333,51598157,51715029,51766757,52091226,52419437,52771684,52795488,52956926,53149707,53158037,53411332,53438489,53582262,54001046,54411175,54702053,54858328,54998052,55479546,55679477,55685828,55890809,56088758,56128452,56291908,56693508,57307397,57353277,57431813,57590798,57740235,58192622,58953869,59259053,59356677,59394924,59459390,59539262,59566169,59756709,60685166,60955509,61076382,61198008,61322309,61354677,61533437,61589584,61715619,61974308,62270510,62507333,62580206,62826749,62870584,63156317,63450137,63499478,63674990,63968920,64142990,64456315,64937469,65066894,65196472,65214740,65293410,65477678,65546510,65738693,65858357,66073973,66724205,66783423,66920349,67070355,67170244,67369253,67711989,68734372,68738375,68847759,69288282,69646304,69658013,69980222,70729407,70891220,70926653,71332169,71351268,71541712,71623733,71965035,72079384,72553310,72720004,72762149,72864197,73172717,73346031,73470975,73486190,73546205,73952510,74724612,74797869,74805509,74884910,74954715,75050117,75388120,75393653,75712468,76034909,76317284,76409988,76733237,76762704,76971588,77052089,77175653,77347578,77730250,77795608,78145790,78257688,78300185,78352092,78369040,78594638,78655812,79104857,79258335,79504075,79542110,79795133,79951696,80069046,80332205,80484426,80931149,81066206,81089307,81333989,81425829,81550168,81638654,81665933,81750437,81821918,81867710,82486050,82563629,82976277,83236118,83363349,83364749,83484653,83550904,84201675,84542224,84609677,84655790,84811635,84860139,85060985,85069464,85080053,85464857,85729637,85735085,85753373,85822637,86038292,86358042,87063972,87319958,87481493,87520059,87904910,87985120,88039899,88165170,88183428,88255446,88273214,88375629,88612013,88743012,88759677,89079989,89100185,89137454,89296190,89815120,89861892,89945658,90071588,90223310,90388408,90434366,90465744,90561172,90713540,91743939,91944878,92080450,92969949,93086693,93276300,93405893,93539540,93657293,93774948,93796205,93890643,93960222,93994767,94042848,94295357,94391390,94584446,95110002,95404890,95450532,95476623,95507789,95703147,95989433,96241790,96398646,96678989,96774789,96848054,97053833,97348253,97572302,98187173,98191960,98209133,98241252,98842109,98983260,99141917,99494720,99589315,99768086,...,32121358829780280231946370604493031013401515444553814011375613432445575649745026373659800550053014739498956907749198807961442111326690071098292537542090708320563747447511707284836650922553250894670633573832420420437022535053689647854485680325524446892272680494743992715969163335619775289536671407999659945180284892175639611126757198237521797660566153485875307105835491178631192882310209311796024059185352386669328271327803776197917612159525016052283102515144916763109146597018016355670493587441775980250127005902737847442685172490056870344704644313370063373515028019055284916937243873040220032020055364951795664297145421054315298924176170166821121581835158894557459889212256083665237191196675983251838382469382004008303959600662725840516345166812759963621423594712254394397718003394807162219175474491842973124405183154443957413091532605437360446881762945112104301100104962611479291227014721385645988102371180576331797643496383074861798241847944836334715194783827561920574422176111823758993499119016243722190760523201682226475656962778654891598519813498816677248668855487501003621227300595903428135358655331665373502065308352597356801460766442132738794585650312216071589336087189864638569846455426148686844977303641825442303980147502007121386945013964159272770854514398131002767665502134075109940063294956652758430305641292707896643391225204396185448775434692200846882298506570778889755071870275094775496091913175283349182142997928379863750301354491570482028891535722529119642238954543304317863534315367061610159322864931121106162086317427446370730089506933103302381239729076695820646314977847069747149923759462992835567017773867131862220087423952402794431423492939947848041038588160221255089651685072671408458853590032578097430785622485616637317977551920132935525982454416826310432585073124251092712368001364547649675503159401561539279479664007091484440199254516199477945820657666270548826679267361122053499618145989883962948703183894168272722098792967659807254834830010990280955521614807352953159849438821903181087286989288037021763985044401299803429344167871353670456253925423500920065360185832763363901608969830087794949866681210618843574811866128749792881978728605375455786498082981047217818524887617278701455909500673337674000390835360716903219920540424623686300881637524489333632643058774277214241027094505873504154760191625115598940589137909343773985585752550945700307057547416255535672199698311112572481103457681339508010272146518956917700937268541141647463565557473064609416423090973646230054500980678804034331528896265851711909408606129425478898680722434833393473752901563662551412583454863843821478911032031082190988846304478513409611301494583366057446097100412350030547687903303167442006124228334091163781550331955472400057100151232219500607212392690561405893558571671019245057704451098464172979359106589099432482369466736389936310692894076762037701294992489656520270879024156561299550312215293418391046945677349544378029174985824135517231176509341513153603957462821039403948050933373943355585220235375859643496849812931370034242262923967929931742210163403351027026717399497797629333854352031643161867088727958284546816650151449618634477171190550745249887318997423704031765777948585840812256186609239813008954609908581521908219067218496667180477828972290518931632611635415133843405357279843728886255480994949864331167722754874036007259333206676695369465712669952718101335712815389763895561913108040601388903327666394876617963864023238951047253144869902277604281153433327220948573601229040812493918248806345130006763471945606418115367294193360006125699100648065206332698066808389091195016618664643025828430583092235586108013254476512431090745388147486127981518008053671579842612549262309231884556511586673396067255305010820661013648366287737979050139531208928963049495741872078587675837028524027212}
23948 605028342397275310631591804170025639271928844168323887454613704656014509411691: {454651,741427,813586,884707,1387186,1457107,1769266,1885651,2246506,2488616,2532658,2799693,2818666,3199786,3485458,3948285,4211504,4246546,4301827,4737942,5386258,5431651,5862605,5929928,6050026,6416467,6556867,6671169,6779932,7035126,7469746,8221256,8225458,8236051,8251365,8375150,8508586,8654227,8801456,9168658,9248913,9451306,9627451,9901638,10050180,10320451,10401285,10720192,10768426,10771612,11094704,11117685,11858864,11964500,12060216,12176146,12478012,12481542,12738226,13112626,13341222,13393258,13417437,13485067,13567743,13939496,14357400,14560581,14697885,14794258,14980786,15314560,15677744,15681933,15904805,15912466,16152075,16377706,16656658,16844565,17151451,17228880,17334025,17420947,17637462,17863786,17967536,18049258,18147292,18148449,18327346,18377472,18697906,18712636,18990165,19085766,19253266,19382490,19922861,20209865,20213478,20233267,20256176,20674656,20730837,20782376,20800830,20898187,21100306,21163651,21446373,21561307,21849285,22187552,22721150,22788198,22849066,23167821,23258988,23305904,23380173,23400106,23940917,23992365,24251838,24350236,24849907,24960996,25420485,25591856,25598506,26219142,26597212,26671867,26947697,26967826,27115184,27265380,27964627,28333546,28351051,28461230,28606258,28790838,28878826,28993651,29083072,29378347,29399452,29530085,29586081,29701965,29959036,30018067,30244885,30420658,30504582,30949205,31165027,31506226,31546051,31682096,32327229,32558947,32718456,33400426,34153476,34201310,34405928,34479658,34548505,34981793,35071027,35108146,35221525,35320651,35346621,35436102,35642358,35825458,35958965,36095452,36293862,36452266,36808263,36936187,36990317,37048737,37139046,37183651,37798856,37927713,38251965,38327986,38496710,38706669,38963685,39030451,39397867,39642451,39663466,39886747,40386765,40515398,40658900,40729258,40802096,40906666,41041572,41338661,41458206,41561264,41792746,42265830,42314696,42323626,42523713,42765586,42916147,43079216,43150758,43636507,43824658,44115307,44213150,44450549,45083552,45145258,45363765,45663451,45902358,46196052,46286866,46492027,46756422,47081707,47600746,47604033,47809893,48001037,48056349,48156485,48255667,48388016,48464118,48790680,48911026,49180813,49357893,49538707,49625085,49695466,49947717,49956658,49973990,50697547,50718996,51159067,51318728,51369950,51504451,51520786,52043392,52528073,52843310,52933424,52993258,52993627,53055780,53548257,53882085,53890886,54436518,54583747,54696787,54842236,54889515,54931773,54995300,55011761,55838386,55972805,56182066,56592832,56697106,56830867,57046913,57462665,57474224,57571036,57733569,57787782,57879140,57896626,58548816,59007658,59049187,59055230,59167016,59178346,59550102,59551365,59968788,60030826,60266901,60292636,60803107,60836092,60940516,61347427,61643940,61675365,61985458,62598998,62861947,63069461,63184651,63411972,63521456,63666936,63721051,63747925,63798285,63935107,63971841,64658502,65753536,65787056,65867418,65871656,65964605,65994360,66562893,66691627,66764165,66901651,67044658,67167366,67296106,68051504,68071157,68259787,68475477,68572910,68747565,68953372,68955198,69385906,69454968,69607285,69957734,70160565,70364885,70393984,70634986,70848993,70866276,70866885,71041651,71356397,71382706,71443016,71461638,71625303,71821821,71855827,72120333,72261187,72564451,73107041,73330736,73369987,73972728,73974446,74010438,74105613,74113258,74243655,74278186,74360626,74435781,74837936,75224006,75591344,75595306,76471036,76497510,76557942,76866501,76986980,77328547,77467885,77808658,77815267,78136839,78493651,78588230,79089857,79142236,79157526,79193232,79196266,79277746,79435389,79675612,79961150,80116998,80126467,80373393,80660458,80697787,81001569,81274012,81435176,81495590,81518425,81597344,81806236,81832651,82287492,82442986,82497078,82685458,82927786,83219319,83422627,83528742,83886307,83962805,84056746,84133137,84192678,84437862,85040262,85083451,85102258,85744306,85917965,86386197,86583292,86630587,86720947,87057880,87288933,87620587,87799651,87903658,88141277,88424107,88461586,88513027,88614025,88893662,89044564,89092386,89122397,89189085,89227132,89308893,89427140,89574451,89892658,90099230,90282652,90886651,90900005,91027749,91081258,91239466,91614573,91797012,92155301,92384376,92781907,92895413,92896786,92961462,93405765,93447658,93870309,94235150,94305876,94306651,94640585,94860586,94902929,95135024,95249217,95396605,95512485,95953380,95955946,96214485,97244510,97600341,97794708,97822110,97940115,97961300,98216517,98319765,98525458,99455506,99632816,99730492,99939620,...,48182038244670420347919555906739546520102273166830721017063420148668363474617539560489700825079522109248435361623798211942163166990035106647438806313136062480845621171267560927254976383829876342005950360748630630655533802580534471781728520488286670338409020742115989073953745003429662934305007111999489917770427338263459416690135797356282696490849230228812960658753236767946789323465313967694036088778028580003992406991705664296876418239287524078424653772717375144663719895527024533505740381162663970375190508854106771164027758735085305517056966470055095060272542028582927375405865809560330048030083047427693496445718131581472948386264255250231682372752738341836189833818384125497855786795013974877757573704073006012455939400994088760774517750219139945432135392068381591596577005092210743328763211737764459686607774731665936119637298908156040670322644417668156451650157443917218936840522082078468982153556770864497696465244574612292697362771917254502072792175741342880861633264167735638490248678524365583286140784802523339713485444167982337397779720248225015873003283231251505431840950893855142203037982997498060253097962528896035202191149663199108191878475468324107384004130784796957854769683139223030267465955462738163455970221253010682080417520946238909156281771597196504151498253201112664910094942434979137645458461939061844965086837806594278173163152038301270323447759856168334632607805412642163244137869762925023773214496892569795625452031737355723043337303583793679463358431814956476795301473050592415238984297396681659243129476141169556095134260399654953571859593615043730969472466770604620724885639194489253350526660800697793330131135928604191647135239409921772061557882240331882634477527609007112688280385048867146146178433728424955976966327880199403288973681625239465648877609686376639068552002046821474513254739102342308919219496010637226660298881774299216918730986499405823240018901041683080249427218984825944423054775841252409083148189451489710882252245016485421433282422211029429739774158232854771630930483932055532645977566601949705144016251807030505684380888135251380098040278749145045852413454745131692424800021815928265362217799193124689322968092908063183679747124471570826727787331425918052183864251010006511000586253041075354829880810636935529451322456286734000448964588161415821361540641758810256232140287437673398410883706864015660978378628826418550460586321124383303508299547466668858721655186522009262015408219778435376551405902811712471195348336209596914124634636460469345081751471018206051497293344398777567864112909194138218348021083652250090210629352345493827118875182295765732218366548046623286483269456717770114416952241875049086169145650618525045821531854954751163009186342501136745672325497933208600085650226848329250910818589035842108840337857506528867586556676647696259469038659883649148723554200104584904466039341115143056551942488734484780406318536234841949325468322940127586570418516024316567043762478736203275846764764012269730405936194231559105922076400060915033377830353063789465245274719397055051363394385951894897613315245105026540540076099246696444000781528047464742800633091937426820224975227174427951715756785826117874830978496135556047648666922878761218384279913859719513431914862872282862328600827745000770716743458435778397448917453122700765108035919765593329383221492424796496751584132311054010888999810015043054198569004929077152003569223084645843342869662060902083354991499592314926945796034858426570879717304853416406421730149990831422860401843561218740877373209517695010145207918409627173050941290040009188548650972097809499047100212583636792524927996964538742645874638353379162019881714768646636118082221229191972277012080507369763918823893463847826834767380010094100882957516230991520472549431606968575209296813393444574243612808117881513755542786040818}
23949 607154315566330725182405496849884567912790871837257958177421595508542654219829: {1220379,2080779,2177539,2653899,3110770,3369759,3685066,3732924,3798987,4227999,4799679,5188687,5228187,5264380,5907499,6317256,6369819,7106913,7193599,7412410,7626971,7701274,8079387,8474915,8631871,8894892,9075039,9348419,9380168,9707866,9997306,10169898,10276570,10376506,10552689,10571314,11001820,11204619,11495419,12197059,12331884,12338187,12562725,12762879,13202184,13356187,13400240,13464515,13718026,13752987,13868380,14076511,14176959,14298778,14823580,14852457,14955625,15075270,15446506,15497471,15597515,15721594,16080288,16152639,16157418,16642056,16796779,17262298,17424370,17724154,17788296,17889916,17946750,18090324,18184579,18264219,18717018,18722313,19107339,19143200,19414108,19453786,19515679,19597180,19668939,20011833,20089887,20392666,20789899,20909244,21514979,21536100,22191387,22392874,22459420,22471179,22602778,22684115,22955407,22971840,23390795,23516616,23725786,23868699,23944619,24197932,24501139,24503296,24566559,24984987,25189546,25320220,25447688,25469938,25813199,25843320,25977970,26336698,26456193,26795679,26951304,27073887,27220938,27491019,27566208,27641116,27664171,27721834,27734440,28046859,28049087,28068954,28392131,28595164,28628649,28879899,29073735,29101187,29132380,29189914,30057394,30105187,30320217,30384264,30437795,30890428,31011984,31173564,31201245,31650459,31912387,31989820,32335784,32538899,33073999,33089659,33246515,33281328,33762859,33893980,34071418,34081725,34182297,34273599,34888482,34922794,34958856,35100159,35182906,35701834,35868107,36353840,36366106,36377757,36525354,36749315,37025359,37215946,37441494,37448795,37694314,37862578,37975579,38387784,38397759,38990171,39328713,39448108,39602620,39895818,40451739,40655674,40672776,40898070,40917827,41463466,42339514,42500319,42691845,42909387,42948826,43007410,43102972,43186257,43318239,43624608,43924219,44099178,44903887,44938554,45113587,45119315,45537968,45630987,45756299,45756873,46316746,46629439,47128828,47248136,47248570,47259339,47523144,48391816,49077684,49398316,49504306,49518728,49892447,50100639,50289946,50374987,50570284,50823625,51002620,51230214,51301965,51446747,51608892,51719487,51771139,51951580,52662219,52893370,53004827,53154153,53463537,53514298,53738187,53849020,54005578,54143178,54440793,54678399,54722096,54778426,55277608,55581274,55708569,56354440,56698284,57137146,57491979,57534344,57563674,57637699,57745065,58618559,59213074,59495199,59545066,59571187,60485020,60773097,60988350,61093887,61203144,61359999,61507811,61562358,61594736,61889987,62187309,62341896,62512639,62585458,62689119,63398745,63472044,63485439,63645418,63746524,63819418,64075132,64148379,64148410,64164394,64366186,64618824,64726137,65054240,65364274,65399807,65483194,65736987,65810524,66142426,66166780,66286714,66319725,66596956,67625328,67717887,68552795,68744125,68853537,69294078,69430299,69554266,69663859,69765851,70036571,70134633,70741040,70914859,71255779,71397676,71401119,71842780,71963795,72280379,72348925,72418546,72582024,72696177,73186020,73242364,73366539,73527274,73606399,73891739,73958770,74543199,74811787,74934987,74959139,74960985,75365795,76045115,76078494,76175645,76978092,77050376,77054925,77087027,77281179,78065088,78601234,79264965,79400136,79401820,79489887,79524047,79583670,79958384,80355868,80827967,80836329,80940319,81654777,82191920,82233820,82263354,82339570,82492950,82955711,83243146,83442154,83757579,84273099,84406066,84549296,84889248,85045659,85064380,85249978,85295788,86191715,86211336,86356554,86681673,86818710,86844939,86915531,87178714,87268906,87823224,87841066,87992480,88511487,88582845,88660267,88750524,88767519,89144986,89303770,89325153,89556488,89800186,89953182,90046239,90238841,90374411,90438954,91254138,91300636,91410774,91448026,91663420,91765114,91940264,92465910,92606624,92917919,92978187,93413887,93547420,93567154,93898497,94303339,94465324,94488368,94489180,94513187,95089471,95117958,95282184,95500404,95588795,95762428,96121987,96160444,96233725,96429994,96987753,97766399,98630304,98658298,98680584,98801127,98807484,98927795,98991540,99247708,99594515,99609779,99777791,...,72273057367005630521879333860109319780153409750246081525595130223002545211926309340734551237619283163872653042435697317913244750485052659971158209469704093721268431756901341390882464575744814513008925541122945945983300703870801707672592780732430005507613531113173983610930617505144494401457510667999234876655641007395189125035203696034424044736273845343219440988129855151920183985197970951541054133167042870005988610487558496445314627358931286117636980659076062716995579843290536800258610571743995955562785763281160156746041638102627958275585449705082642590408813042874391063108798714340495072045124571141540244668577197372209422579396382875347523559129107512754284750727576188246783680192520962316636360556109509018683909101491133141161776625328709918148203088102572387394865507638316114993144817606646689529911662097498904179455948362234061005483966626502234677475236165875828405260783123117703473230335156296746544697866861918439046044157875881753109188263612014321292449896251603457735373017786548374929211177203785009570228166251973506096669580372337523809504924846877258147761426340782713304556974496247090379646943793344052803286724494798662287817713202486161076006196177195436782154524708834545401198933194107245183955331879516023120626281419358363734422657395794756227247379801668997365142413652468706468187692908592767447630256709891417259744728057451905485171639784252501948911708118963244866206804644387535659821745338854693438178047606033584565005955375690519195037647722434715192952209575888622858476446095022488864694214211754334142701390599482430357789390422565596454208700155906931087328458791733880025789991201046689995196703892906287470702859114882658092336823360497823951716291413510669032420577573300719219267650592637433965449491820299104933460522437859198473316414529564958602828003070232211769882108653513463378829244015955839990448322661448825378096479749108734860028351562524620374140828477238916634582163761878613624722284177234566323378367524728132149923633316544144609661237349282157446395725898083298968966349902924557716024377710545758526571332202877070147060418123717568778620182117697538637200032723892398043326698789687033984452139362094775519620686707356240091680997138877078275796376515009766500879379561613032244821215955403294176983684430101000673446882242123732042310962638215384348210431156510097616325560296023491467567943239627825690879481686574955262449321200003288082482779783013893023112329667653064827108854217568706793022504314395371186951954690704017622627206527309077245940016598166351796169363791207327522031625478375135315944028518240740678312773443648598327549822069934929724904185076655171625428362812573629253718475927787568732297782432126744513779513751705118508488246899812900128475340272493876366227883553763163260506786259793301379835014971544389203557989825473723085331300156877356699059011672714584827913733101727170609477804352262923988202484410191379855627774036474850565643718104304913770147146018404595608904291347338658883114600091372550066745529595684197867912079095582577045091578927842346419972867657539810810114148870044666001172292071197114200949637906140230337462840761641927573635178739176812246467744203334071473000384318141827576419870789579270147872294308424293492901241617501156075115187653667596173376179684051147662053879648389994074832238637194745127376198466581016333499715022564581297853507393615728005353834626968765014304493091353125032487249388472390418694052287639856319575957280124609632595224986247134290602765341828111316059814276542515217811877614440759576411935060013782822976458146714248570650318875455188787391995446808113968811957530068743029822572152969954177123331843787958415518120761054645878235840195771740252151070015141151324436274346487280708824147410452862813945220090166861365419212176822270633314179061227}
23950 609287710740986688401822257184886772178614736027541847452423856178635051733424: {909302,980269,1482854,1627172,1695409,1769414,2774372,2914214,3120289,3262381,3538532,3546349,3771302,4493012,4666155,4679341,4977232,5065316,5527599,5599386,5637332,6229681,6399572,6580475,6650989,6970916,7491661,7896570,8190241,8207647,8423008,8493092,8603654,9026161,9165229,9443149,9475884,9859489,10772516,10863302,11118615,11518369,11551911,11725210,11793841,11859856,12100052,12832934,13113734,13342338,13559864,13752275,13850701,14070252,14396461,14561799,14939492,14995959,15212941,15254847,15348769,15414855,15564759,15856971,16442512,16450916,16472102,16502730,16750300,17017172,17308454,17335475,17602912,17646829,18337316,18497826,18529475,18902612,19254902,19803276,19924081,20100360,20456881,20577039,20640902,20802570,20988529,21386509,21440384,21448167,21536852,21543224,21783841,22189408,22235370,22266727,22362395,22444621,22612905,23169759,23235181,23582391,23717728,23929000,24023149,24120432,24236127,24267635,24352292,24496475,24939169,24956024,24963084,25069741,25476452,25893447,26136555,26225252,26501281,26586231,26682444,26786516,26834874,26890189,26920125,26970134,27135486,27795121,27878992,27924109,28074275,28075527,28293811,28567969,28714800,29121162,29180679,29395770,29588516,29594401,29961572,30247415,30588999,30629120,31355488,31363866,31650275,31760269,31809610,31824932,31833527,32304150,32393329,32755412,33276589,33313316,33589311,33689130,33904167,34302902,34457760,34551395,34668050,34782541,34841894,34907569,35274924,35406961,35588679,35727572,35743955,35780749,35905201,35935072,36098516,36294584,36296898,36415475,36654692,36754944,37145761,37395812,37425272,37784319,37980330,38171532,38204907,38256109,38506532,38613035,38764980,38966955,39505047,39845722,39987275,40419730,40426956,40466534,40512352,40831407,41309809,41342119,41349312,41431021,41461674,41564752,41582751,41601660,41796374,42103431,42156781,42200612,42327302,42342839,42367475,42892746,43122614,43328887,43360621,43698570,43784871,44375104,44676529,45086091,45271789,45442300,45576396,45628081,45698132,45865249,46102129,46335642,46456909,46517976,46611808,46760346,46800212,47881834,47984730,48103981,48367907,48503676,48571981,48700472,49155361,49184927,49310135,49503275,49699814,49921992,50342551,50432461,50548129,50779249,50840970,51107127,51183712,51197012,51355789,51585901,52332723,52384191,52438284,52532467,52617841,52774359,52846369,53194424,53343734,53552751,53878715,53895394,53935652,54211489,54230368,54438001,54530760,54549159,54551149,54788031,54966791,55678669,55823919,55929254,56127661,56162241,56541471,56667092,56702102,56793867,56922460,57212516,57581676,57757652,57912109,57987302,58122779,58166144,58756694,58798904,58911035,59060170,59172162,59238349,59403930,59843727,59918072,60007201,60036134,60335629,60489770,60841316,60983511,61009164,61347105,61534321,61747895,61751329,61898410,62195199,62292589,62330054,63012452,63047329,63092102,63212855,63364192,63509271,63753275,64423239,64511115,64654458,64939475,65117894,65436912,66148767,66241969,66452641,66800852,67311275,67397101,67407831,67419079,68306952,68402620,68543521,68811856,68959316,69097010,69475119,69963586,69990001,70142054,70216292,70443050,70641302,70693242,70872204,70872855,71014561,71284716,71650916,71917930,72190904,72234529,72537901,72587724,72904532,72941389,73142701,73544461,73616526,73644721,73872374,73980634,74097474,74256459,74278092,74367302,74941549,75239089,75434919,75597712,75606275,75855426,76029361,76503930,76619041,76655972,76845321,76912909,76993420,77108461,77413338,77927370,78060902,78361927,78662509,78795734,79284902,79326932,79340055,79624429,79683155,79773494,79815949,80007181,80093915,80271447,80447731,80773530,81008367,81030796,81214767,81317800,81458516,81604192,81813332,82083144,82167639,82263155,82279501,82677322,82708475,82916412,83120929,83122528,83246195,83371911,83585492,83585869,83771341,83861591,84326029,84531660,84629392,84647252,85047426,85531172,85610221,85705719,85832294,85883569,85974541,86156269,86158432,86301516,86345511,87240589,87273014,87420301,87649316,87778861,87868321,88225441,88230614,88426300,88819611,88901098,89247095,89317599,89730349,89803475,90167104,90290516,90343969,90727530,91326902,91482525,91552955,91733281,91804716,91819501,92343537,92350447,92392104,92573732,92933809,92984054,93019021,93469831,93512844,93613489,93867181,93878187,94163414,94791841,95201492,95208066,95292529,95458849,95468127,95619786,95729127,95873389,96002074,96112698,96222615,96246591,96312970,96511334,96549279,96776032,96779041,96860941,96928236,97450199,97581360,97822052,97919089,97999981,98046411,98224791,98361626,98510839,98564209,98715786,99077414,99213639,99250170,99252275,99284461,99390932,99430071,99895434,99913316,99947980,...,96364076489340840695839111813479093040204546333661442034126840297336726949235079120979401650159044218496870723247596423884326333980070213294877612626272124961691242342535121854509952767659752684011900721497261261311067605161068943563457040976573340676818041484231978147907490006859325868610014223998979835540854676526918833380271594712565392981698460457625921317506473535893578646930627935388072177556057160007984813983411328593752836478575048156849307545434750289327439791054049067011480762325327940750381017708213542328055517470170611034113932940110190120545084057165854750811731619120660096060166094855386992891436263162945896772528510500463364745505476683672379667636768250995711573590027949755515147408146012024911878801988177521549035500438279890864270784136763183193154010184421486657526423475528919373215549463331872239274597816312081340645288835336312903300314887834437873681044164156937964307113541728995392930489149224585394725543834509004145584351482685761723266528335471276980497357048731166572281569605046679426970888335964674795559440496450031746006566462503010863681901787710284406075965994996120506195925057792070404382299326398216383756950936648214768008261569593915709539366278446060534931910925476326911940442506021364160835041892477818312563543194393008302996506402225329820189884869958275290916923878123689930173675613188556346326304076602540646895519712336669265215610825284326488275739525850047546428993785139591250904063474711446086674607167587358926716863629912953590602946101184830477968594793363318486258952282339112190268520799309907143719187230087461938944933541209241449771278388978506701053321601395586660262271857208383294270478819843544123115764480663765268955055218014225376560770097734292292356867456849911953932655760398806577947363250478931297755219372753278137104004093642949026509478204684617838438992021274453320597763548598433837461972998811646480037802083366160498854437969651888846109551682504818166296378902979421764504490032970842866564844422058859479548316465709543261860967864111065291955133203899410288032503614061011368761776270502760196080557498290091704826909490263384849600043631856530724435598386249378645936185816126367359494248943141653455574662851836104367728502020013022001172506082150709659761621273871058902644912573468000897929176322831642723081283517620512464280574875346796821767413728031321956757257652837100921172642248766607016599094933337717443310373044018524030816439556870753102811805623424942390696672419193828249269272920938690163502942036412102994586688797555135728225818388276436696042167304500180421258704690987654237750364591531464436733096093246572966538913435540228833904483750098172338291301237050091643063709909502326018372685002273491344650995866417200171300453696658501821637178071684217680675715013057735173113353295392518938077319767298297447108400209169808932078682230286113103884977468969560812637072469683898650936645880255173140837032048633134087524957472406551693529528024539460811872388463118211844152800121830066755660706127578930490549438794110102726788771903789795226630490210053081080152198493392888001563056094929485601266183874853640449950454348855903431513571652235749661956992271112095297333845757522436768559827719439026863829725744565724657201655490001541433486916871556794897834906245401530216071839531186658766442984849592993503168264622108021777999620030086108397138009858154304007138446169291686685739324121804166709982999184629853891592069716853141759434609706832812843460299981662845720803687122437481754746419035390020290415836819254346101882580080018377097301944195618998094200425167273585049855993929077485291749276706758324039763429537293272236164442458383944554024161014739527837647786927695653669534760020188201765915032461983040945098863213937150418593626786889148487225616235763027511085572081636}
23951 611428553664511635147727308820972834361544869726858748191469439230077536530229: {1363953,2033965,2224281,2440758,2654121,2895409,3467965,4161558,4355078,4371321,4423165,5307798,5616265,5656953,6051001,6221540,6331645,6739518,6912013,7046665,7370132,7465848,7597974,7627609,7999465,8152969,8399079,8455998,8713645,9013693,9349201,9599358,10377374,10448233,10456374,10528760,10616365,10778449,11814998,11844855,11864881,12352681,12634512,12739638,12905481,13465645,13926121,14213826,14387198,14824820,15125065,15253942,15402548,15940633,16022809,16158774,16294953,16653421,16949830,17263742,17587815,17594401,17789784,18150078,18315193,18641689,18674365,18696838,18760336,18850321,19085713,19249401,19415732,19670601,19994612,20013507,20094013,20339796,20553140,20563645,20753012,20937875,21105378,21142628,21271465,21781441,21836521,22003640,22409238,22525441,22921645,22990838,23628265,24046153,24394118,24663768,24676374,24708153,24754095,24756301,25125450,25525758,25962681,26404368,26712374,26761633,26800480,26921065,26929030,27436052,27505974,27736760,27746739,28051441,28153022,28353918,28573369,28597556,28882353,29616961,29647160,29704914,29777113,29911250,30150540,30350209,30440365,30893012,30961353,30994942,31195030,31203855,31443188,31757761,31845565,32160576,32305278,32314836,32390233,32747113,32781565,33148921,33266761,33284112,33353055,33483145,33593558,34524596,34782961,34848740,35448308,35576592,35779832,35893500,36180648,36215341,36369158,36391729,36528438,36686653,36985645,37434036,37444626,37451965,38214678,38286400,38828216,38907572,38958481,39031358,39194360,39337878,39513529,39781165,40023666,40123789,40179774,40252311,40455201,40703229,40785332,40921261,40944265,41579798,41641645,41728081,41818488,42389581,42612913,43029958,43072200,43341313,43671001,43681743,44093655,44382774,44659465,44785748,44918840,44942358,45123145,45205556,45228601,45368230,45731689,45818365,45910814,45943680,46079293,46545121,46744765,46781590,46785409,47033232,47045799,47451572,47714415,47737398,47889238,48133165,48395864,48456225,49002278,49006592,49133118,49969974,50379092,50414881,50533695,50640440,50895376,50939876,51139393,51449041,51451081,51454353,51626398,51686640,51841261,51955940,51969049,52002075,52262841,52428313,52673396,52700113,52750765,52912386,53166961,53591358,53902608,54147774,54441876,54445347,54982038,55132416,55282232,55328342,55350121,55443668,55468880,56093718,56098174,56137908,56784262,56802875,56970495,57122665,57190328,57257298,57759798,58147470,58202374,58264760,58379828,58500265,58963801,59240689,59714233,59768583,60114788,60210374,60629595,60640434,60699801,60768528,60800701,60875590,61512973,61780856,62023968,62192511,62347128,62402490,62694561,63167041,63300918,63490953,63824774,63979640,63996265,64339119,64671568,64683921,65077798,65405329,65547855,65749729,66147998,66179318,66493030,66562656,67419565,67474513,67525718,67787960,68142836,68163450,68364594,68497561,68547198,69503463,69522721,69776964,69845588,69881101,69917712,70042489,70140519,70200318,70365812,70557289,70833865,71147353,71153075,71403668,71515645,71736214,71822751,71977095,72101161,72197065,72707680,72732212,72755514,73050708,73087981,73185001,73498630,74050718,74431892,74549721,74577289,74882988,74897590,75272893,75388628,75725156,75951158,76051645,76053433,76261455,76775568,76795518,77093521,77188609,77290681,77894221,77980342,78657426,78765565,78896216,78987721,79205240,79530721,79791636,79808641,80015601,80783953,80834809,80843091,80903478,81083281,81311348,81345552,81347761,81764161,81796140,81835654,82373401,82770493,82926932,82962673,83501065,83893881,84623881,84679028,85000638,85053153,85383690,85503275,85767769,85818774,85897652,85960369,86014820,86156089,86199145,86205944,86372514,86636478,86980953,87249216,87496321,87770365,87848438,88135041,88198356,88590255,88758243,88989181,89105895,89563645,89661001,89807774,89877108,90054201,90054481,90227174,90238630,90734655,91075936,91130665,91155313,91261974,91266001,91512598,91513746,92633492,92847615,93121369,93258878,93495081,94257656,94496272,94497140,94518678,94638153,94704301,95046288,95523961,95819965,95973913,96241775,96607129,96695401,96783632,96981687,97676841,98155368,98225809,98796632,98858761,99008612,99037456,99158665,99245641,99511981,99730153,99784894,...,144546114734011261043758667720218639560306819500492163051190260446005090423852618681469102475238566327745306084871394635826489500970105319942316418939408187442536863513802682781764929151489629026017851082245891891966601407741603415345185561464860011015227062226347967221861235010288988802915021335998469753311282014790378250070407392068848089472547690686438881976259710303840367970395941903082108266334085740011977220975116992890629254717862572235273961318152125433991159686581073600517221143487991911125571526562320313492083276205255916551170899410165285180817626085748782126217597428680990144090249142283080489337154394744418845158792765750695047118258215025508569501455152376493567360385041924633272721112219018037367818202982266282323553250657419836296406176205144774789731015276632229986289635213293379059823324194997808358911896724468122010967933253004469354950472331751656810521566246235406946460670312593493089395733723836878092088315751763506218376527224028642584899792503206915470746035573096749858422354407570019140456332503947012193339160744675047619009849693754516295522852681565426609113948992494180759293887586688105606573448989597324575635426404972322152012392354390873564309049417669090802397866388214490367910663759032046241252562838716727468845314791589512454494759603337994730284827304937412936375385817185534895260513419782834519489456114903810970343279568505003897823416237926489732413609288775071319643490677709386876356095212067169130011910751381038390075295444869430385904419151777245716952892190044977729388428423508668285402781198964860715578780845131192908417400311813862174656917583467760051579982402093379990393407785812574941405718229765316184673646720995647903432582827021338064841155146601438438535301185274867930898983640598209866921044875718396946632829059129917205656006140464423539764217307026926757658488031911679980896645322897650756192959498217469720056703125049240748281656954477833269164327523757227249444568354469132646756735049456264299847266633088289219322474698564314892791451796166597937932699805849115432048755421091517053142664405754140294120836247435137557240364235395077274400065447784796086653397579374067968904278724189551039241373414712480183361994277754156551592753030019533001758759123226064489642431910806588353967368860202001346893764484247464084621925276430768696420862313020195232651120592046982935135886479255651381758963373149910524898642400006576164965559566027786046224659335306129654217708435137413586045008628790742373903909381408035245254413054618154491880033196332703592338727582414655044063250956750270631888057036481481356625546887297196655099644139869859449808370153310343250856725625147258507436951855575137464595564864253489027559027503410237016976493799625800256950680544987752732455767107526326521013572519586602759670029943088778407115979650947446170662600313754713398118023345429169655827466203454341218955608704525847976404968820382759711255548072949701131287436208609827540294292036809191217808582694677317766229200182745100133491059191368395735824158191165154090183157855684692839945735315079621620228297740089332002344584142394228401899275812280460674925681523283855147270357478353624492935488406668142946000768636283655152839741579158540295744588616848586985802483235002312150230375307335192346752359368102295324107759296779988149664477274389490254752396933162032666999430045129162595707014787231456010707669253937530028608986182706250064974498776944780837388104575279712639151914560249219265190449972494268581205530683656222632119628553085030435623755228881519152823870120027565645952916293428497141300637750910377574783990893616227937623915060137486059645144305939908354246663687575916831036241522109291756471680391543480504302140030282302648872548692974561417648294820905725627890440180333722730838424353644541266628358122454}
23952 613576870168886041020395670791249788352835841663788947431523275891341485291816: {550367,980351,1028087,1266647,1409687,1743167,1818604,1885967,1960538,1981127,2965708,3254344,3310007,3390818,3538828,3593951,3661137,3877607,4255367,4538351,4726847,5009351,5526527,5548744,5828428,6230207,6240578,6242337,6524762,6532617,6651551,6698327,7077064,7092698,7542604,7776925,7961697,8237447,8330447,8469887,8986024,9166007,9212665,9332310,9358682,9906551,9954464,10109277,10130632,10414487,11055198,11198772,11243567,11274664,11396961,12207551,12459362,12683997,12799144,13160950,13301978,13941832,14306807,14399037,14443127,14715551,14942351,14983322,15350087,15395351,15566061,15666767,15684561,15793140,15892727,16298951,16380482,16415294,16846016,16986184,17207308,17244287,17423951,17722497,18052322,18330458,18531025,18722687,18886298,18951768,18990551,19109457,19253185,19703447,19718978,20325551,20990351,21320739,21545032,21580797,21653351,21726604,22237230,22754351,22880913,23036738,23103822,23149487,23450420,23587682,23631551,23719712,24068951,24200104,24238161,24269665,24941351,24984887,24993265,25424745,25665868,25691425,25895613,25941265,26227468,26428285,26684676,27119728,27225117,27323951,27504550,27582407,27701402,27969551,28045257,28140504,28792922,29084327,29123598,29468951,29878984,29991918,30425882,30509694,30697538,30829710,31129518,31170551,31307353,31658067,31713942,31763087,32648951,32885024,32901832,32944204,33005460,33069551,33321527,33500600,33613857,33657047,33908351,33974689,34034344,34295065,34486257,34577087,34616908,34670950,35160551,35205824,35293658,35410127,35746945,35949887,36591177,36674632,36995652,37014561,37058950,37190327,37621441,37684487,37688175,37805224,38288637,38300567,38509804,38616265,39037487,39303985,39606552,39848162,40068561,40200720,40341167,40393545,40913762,41111351,41154078,41258961,41281804,41353967,41475167,41605140,41677007,41918951,41977058,42160607,42229533,42346381,42530877,42773018,42880768,42883847,42896334,43073704,43086448,43155745,43560925,43567682,44310385,44378816,44470740,44533454,44557371,44724790,44866875,44889242,45225810,45513551,45671807,46106351,46145807,46339518,46470362,46492413,46500551,46792545,46933247,47164782,47435456,47443367,47858000,48046298,48108407,48240864,48371953,48457917,48472254,48535270,48615407,48634465,48704584,48848951,48992950,49198727,49878338,49912048,49926168,50041537,50139482,50390337,50552807,50591351,50783951,50952904,50981665,51398927,51514007,51590687,51786894,52164767,52273110,52450504,52851287,53002562,53172462,53364888,53573032,53669748,53780378,53840250,53940268,54058249,54270972,54553737,54593951,54792657,54971389,55590242,55757984,55848218,55982185,56132927,56148550,56151054,56166939,56506945,56587622,57064727,57135938,57322017,57429600,57954551,58127641,58139351,58242324,58361358,58547037,58791540,59006817,59023607,59177032,59188802,59280647,59314465,59923144,60035499,60158951,60269661,60494830,61177998,61258240,61757207,62298527,62334551,62369697,62710976,62727732,62973865,63268367,63300550,63520538,63619220,63649864,63667054,63674845,63733247,64267967,64544937,64608300,64786658,64944925,64960753,65510824,65755607,65841745,66072551,66459047,66553178,66564287,66574161,66626632,66774551,67178622,67378260,67413537,67438487,67647551,67808334,68052345,68377007,68605804,68690557,68866221,68915520,69034189,69102790,69171887,69304585,69336100,69565082,69683788,69688007,69815138,70172385,70549848,70813922,71055527,71177358,71455144,71487910,71561498,71606097,71768351,71810402,71833857,71870144,72197032,72275351,72578687,72589168,72593796,72830950,72974785,72982127,73149887,73309384,73503417,73509888,73699677,74291522,74783351,74791624,74850544,74954961,75143485,75246527,75430201,75477527,75568638,75960660,76069727,76233767,76343064,76409814,76512218,76626647,76953167,77013064,77226070,77408951,77439597,77529960,77603807,77895551,77933910,78025007,78573767,78670367,78702551,79010094,79368579,79632407,79691444,79855847,79974550,80387037,80839460,80853912,80933068,81024704,81221661,81251351,81377447,81566351,81662814,81911927,82006007,82319087,82473057,82475449,82619618,82684238,82698624,82862042,82923348,82973951,82992513,83129504,83165502,83203320,83592748,83625287,83779847,84057551,84140577,84147261,84206862,84313562,84401224,84654604,84685678,84734950,85176393,85178545,85253447,85785492,85885947,86165087,86245228,86346551,86447053,86639697,86657774,86721242,86798951,86979407,87221205,87249551,87279527,87303561,87306985,87397140,87569742,87817727,87877367,87957265,88264247,88442351,88497997,88750208,89254585,89353058,89645149,89651687,89768951,89944607,90172182,90178367,90315561,90528047,90543578,90789551,90884600,90915265,90960651,90963527,91152792,91256162,91313385,91396264,91730498,91771607,92116007,92204258,92373551,92671284,92913818,92943551,93035952,93039865,93223616,93520692,93600424,93603735,93961487,94073951,94235785,94382567,94656445,94662287,94951377,95302607,95737161,95763668,95969460,96207962,96323807,96735814,97007352,97143962,97225367,97400944,97616697,97632287,97956527,98310722,98333351,98369854,98494367,98601551,98620270,99006550,99109153,99221997,99268977,99399628,99739545,99843984,...,216819172101016891565638001580327959340460229250738244576785390669007635635778928022203653712857849491617959127307091953739734251455157979913474628409112281163805295270704024172647393727234443539026776623368837837949902111612405123017778342197290016522840593339521950832791852515433483204372532003997704629966923022185567375105611088103272134208821536029658322964389565455760551955593912854623162399501128610017965831462675489335943882076793858352910941977228188150986739529871610400775831715231987866688357289843480470238124914307883874826756349115247927771226439128623173189326396143021485216135373713424620734005731592116628267738189148626042570677387322538262854252182728564740351040577562886949909081668328527056051727304473399423485329875986129754444609264307717162184596522914948344979434452819940068589734986292496712538367845086702183016451899879506704032425708497627485215782349369353110419691005468890239634093600585755317138132473627645259327564790836042963877349688754810373206119053359645124787633531611355028710684498755920518290008741117012571428514774540631774443284279022348139913670923488741271138940831380032158409860173484395986863453139607458483228018588531586310346463574126503636203596799582321735551865995638548069361878844258075091203267972187384268681742139405006992095427240957406119404563078725778302342890770129674251779234184172355716455514919352757505846735124356889734598620413933162606979465236016564080314534142818100753695017866127071557585112943167304145578856628727665868575429338285067466594082642635263002428104171798447291073368171267696789362626100467720793261985376375201640077369973603140069985590111678718862412108577344647974277010470081493471855148874240532007097261732719902157657802951777912301896348475460897314800381567313577595419949243588694875808484009210696635309646325960540390136487732047867519971344967984346476134289439247326204580085054687573861122422485431716749903746491285635840874166852531703698970135102574184396449770899949632433828983712047846472339187177694249896906899049708773673148073133131637275579713996608631210441181254371152706335860546353092615911600098171677194129980096369061101953356418086284326558862060122068720275042991416631234827389129545029299502638138684839096734463647866209882530951053290303002020340646726371196126932887914646153044631293469530292848976680888070474402703829718883477072638445059724865787347963600009864247448339349041679069336989002959194481326562652706120379067512943186113560855864072112052867881619581927231737820049794499055388508091373621982566094876435125405947832085554722222034938320330945794982649466209804789174712555229965514876285088437720887761155427783362706196893347296380233541338541255115355525464740699438700385426020817481629098683650661289489781520358779379904139505044914633167610673969476421169255993900470632070097177035018143754483741199305181511828433413056788771964607453230574139566883322109424551696931154312914741310441438055213786826712874042015976649343800274117650200236588787052593603736237286747731135274736783527039259918602972619432430342446610133998003516876213591342602848913718420691012388522284925782720905536217530436739403232610002214419001152954425482729259612368737810443616882925272880478703724852503468225345562961002788520128539052153442986161638945169982224496715911584235382128595399743049000499145067693743893560522180847184016061503880906295042913479274059375097461748165417171256082156862919568958727871840373828897785674958741402871808296025484333948179442829627545653435632843322278729235805180041348468929374440142745711950956626365566362175986340424341906435872590206229089467716458909862531369995531363875246554362283163937634707520587315220756453210045423453973308823039461842126472442231358588441835660270500584096257636530466811899942537183681}
23953 615732686175106143906153403464122280354613942234674864483204074124171457868533: {2273255,2727906,2847551,2940807,3421847,3707135,4067930,4423535,4448562,4855151,4881516,5086227,5308242,5790818,6192431,6935930,7151183,7285535,7725191,7862771,8153651,8323116,8710156,8742642,8846330,8864303,9014447,9360867,9428255,9635327,9787143,9865331,10449107,10615596,10639047,11199251,11232530,11304227,11313906,12102002,12199103,12443080,12663290,12738167,13479036,13824026,13998465,14038023,14093330,14598623,14740264,14862911,14931696,15032471,15195948,15255218,15998930,16305938,16458143,16582797,16798158,16911996,17039987,17427290,17465783,18027386,18612647,18689043,18698402,18851903,18936047,19166807,19198716,19741425,19952967,20332943,20754748,20793383,20896466,20912748,21057520,21175091,21232730,21331091,21479807,21509135,21556898,22031087,22474983,23624243,23629996,23689710,23729762,24570723,24622941,24705362,25269024,25479276,25630751,25741703,25810962,26144111,26931290,27078483,27158255,27186791,27495687,27668807,27852242,28329447,28427652,28575767,28774396,28789103,29313025,29578467,29649640,29780051,30250130,30507884,30805096,31830707,31881266,32039951,32045618,32082335,32090303,32317548,32589906,32690351,32784335,33079571,33151703,33306842,33355845,33488207,33768527,33899660,34527484,34555107,34655733,35001863,35175630,35188802,35381523,35579568,36300156,36630386,37283378,37348730,37393676,37520672,37689491,37700642,37981943,38171426,38498802,38831464,39216767,39315263,39341202,39989224,40027014,40055903,40188026,40679592,41106280,41127290,41180255,41256825,41506024,41508191,41552103,41731583,41875750,42081047,42210756,42285256,42542930,42616511,43008407,43189383,43271135,43562882,43673042,43685397,44007280,44151431,44583791,44818476,44987877,45050882,45638823,45735527,45764541,45843290,45894191,45981676,46046307,46244565,46354151,46637267,46694277,46697807,46876403,47256530,47308151,47570913,48092306,48137255,48440291,48788236,49327536,49352748,49416306,49508190,49512602,50250900,51051516,51602255,51611183,51779903,51925362,51973427,52006425,52079831,52432751,52808736,52940487,53171423,53424748,53451983,53523266,53600960,53842130,53858060,54370103,54872104,55011948,55291847,55473520,55493478,55588425,55693631,56102882,56306044,56446163,56707836,57146738,57195112,57321971,57764706,58182707,58298303,59233922,59294320,59409828,59554226,59581223,59772243,59822500,60301080,60700418,60805823,60880730,61370643,61417967,61731117,61786024,61922706,61989884,62390060,62407710,62523251,62886376,62965587,63172403,63515522,63691130,64145711,64159527,64321152,64344501,64610556,64629672,64780466,65351523,65442671,65494226,65563130,65755247,65874983,66297842,66533522,66568224,66706110,66800181,66966290,67025351,67087185,67187116,67333863,67386431,67425335,67838715,69049192,69509277,69565922,69697480,69705543,70563251,70747173,70896616,71153184,71559664,71787000,72069447,72361296,72430682,72708381,72738316,72783458,72802905,73056876,73191143,73373306,73489425,73851071,73971290,74817507,74868072,74889252,74903930,75209223,75412691,76054067,76429356,76572800,77195087,77297207,77656432,77680341,77815144,77900783,77916962,78062716,78102407,78388720,78409665,78462311,78675756,79027058,79503843,79524025,79562330,79758693,79971731,80047332,80247578,80359548,80464127,80504622,80670567,80760375,80910402,80951663,80953907,81354647,81406458,81570664,81686567,81771023,81842522,81888530,81900371,82777487,83159596,83283290,83385363,83385887,83456162,83636976,83772327,84222825,84226581,84630983,84779162,84881433,85038563,85210463,85225826,85486391,85703907,85757255,85774967,85844303,86059916,86144400,86163347,86670125,86682626,87058247,87104735,87342002,87363486,87542037,88187310,88469651,88675151,88765548,88783203,89102483,89318930,89571496,89594771,89837680,89884716,90246290,90411112,90457202,90573527,90736460,90742245,90751343,91463378,91636730,91766997,91821628,91887360,92158586,92186663,93090242,93489530,93563180,93570818,94066464,94091598,94188131,94319303,94387391,94903144,94950825,95280807,95428830,95474796,95500581,95532047,95778476,96138263,96266330,96791728,96912450,97179987,97350383,98004556,98013184,98234147,98266236,99167411,99324023,99614305,99829767,99939948,...,289092229468022522087517335440437279120613639000984326102380520892010180847705237362938204950477132655490612169742789271652979001940210639884632837878816374885073727027605365563529858302979258052035702164491783783933202815483206830690371122929720022030454124452695934443722470020577977605830042671996939506622564029580756500140814784137696178945095381372877763952519420607680735940791883806164216532668171480023954441950233985781258509435725144470547922636304250867982319373162147201034442286975983822251143053124640626984166552410511833102341798820330570361635252171497564252435194857361980288180498284566160978674308789488837690317585531501390094236516430051017139002910304752987134720770083849266545442224438036074735636405964532564647106501314839672592812352410289549579462030553264459972579270426586758119646648389995616717823793448936244021935866506008938709900944663503313621043132492470813892921340625186986178791467447673756184176631503527012436753054448057285169799585006413830941492071146193499716844708815140038280912665007894024386678321489350095238019699387509032591045705363130853218227897984988361518587775173376211213146897979194649151270852809944644304024784708781747128618098835338181604795732776428980735821327518064092482505125677433454937690629583179024908989519206675989460569654609874825872750771634371069790521026839565669038978912229807621940686559137010007795646832475852979464827218577550142639286981355418773752712190424134338260023821502762076780150590889738860771808838303554491433905784380089955458776856847017336570805562397929721431157561690262385816834800623627724349313835166935520103159964804186759980786815571625149882811436459530632369347293441991295806865165654042676129682310293202876877070602370549735861797967281196419733842089751436793893265658118259834411312012280928847079528434614053853515316976063823359961793290645795301512385918996434939440113406250098481496563313908955666538328655047514454498889136708938265293513470098912528599694533266176578438644949397128629785582903592333195875865399611698230864097510842183034106285328811508280588241672494870275114480728470790154548800130895569592173306795158748135937808557448379102078482746829424960366723988555508313103185506060039066003517518246452128979284863821613176707934737720404002693787528968494928169243850552861537392841724626040390465302241184093965870271772958511302763517926746299821049797284800013152329931119132055572092449318670612259308435416870274827172090017257581484747807818762816070490508826109236308983760066392665407184677455164829310088126501913500541263776114072962962713251093774594393310199288279739718899616740306620686501713451250294517014873903711150274929191129728506978055118055006820474033952987599251600513901361089975505464911534215052653042027145039173205519340059886177556814231959301894892341325200627509426796236046690858339311654932406908682437911217409051695952809937640765519422511096145899402262574872417219655080588584073618382435617165389354635532458400365490200266982118382736791471648316382330308180366315711369385679891470630159243240456595480178664004689168284788456803798551624560921349851363046567710294540714956707248985870976813336285892001537272567310305679483158317080591489177233697173971604966470004624300460750614670384693504718736204590648215518593559976299328954548778980509504793866324065333998860090258325191414029574462912021415338507875060057217972365412500129948997553889561674776209150559425278303829120498438530380899944988537162411061367312445264239257106170060871247510457763038305647740240055131291905832586856994282601275501820755149567981787232455875247830120274972119290288611879816708493327375151833662072483044218583512943360783086961008604280060564605297745097385949122835296589641811451255780880360667445461676848707289082533256716244908}
23954 617896027693488698616699231173628859125574499515294337194936384427029630170404: {884929,1028173,1100734,1457473,1600429,1960702,2056174,2314129,2533294,2819374,3026029,3486334,3637208,3771934,3921076,3962254,4091859,4302913,4585873,5009773,5931416,6101895,6508688,6558529,6620014,6672843,6698893,6781636,7077656,7187902,7322274,7755214,7819213,7962363,8510734,8686227,8795713,9076702,9352129,9453694,10018702,10403895,10738129,10887695,11053054,11097488,11656856,12254413,12460414,12481156,12484674,12897731,13049524,13065234,13113963,13269495,13303102,13396654,14154128,14185396,14988973,15085208,15396673,15553850,15923394,16474894,16660894,16848795,16886029,16939774,16970859,17425453,17560129,17972048,18153003,18232429,18332014,18425330,18664620,18717364,18768973,18994935,19036813,19813102,19908928,20218554,20261264,20371693,20736039,20828974,21139995,21566929,22110396,22397544,22487134,22549328,22756333,22793922,22882827,23677393,23998395,24415102,24458907,24918724,24987073,25197237,25367994,25598288,25943435,26140935,26321900,26603956,26678893,26954459,27041079,27584833,27883664,28047603,28100929,28613614,28798074,28886254,29431102,29514253,29537495,29884702,29966644,30700174,30790702,31132122,31173313,31333534,31344699,31369122,31586280,31785454,31849095,32061613,32335347,32597902,32693953,32760964,32830588,33072493,33692032,33972368,33977531,34414616,34488574,34847902,34990571,35444994,35534565,35594643,35967995,36104644,36317771,36660916,36999599,37058043,37062050,37069933,37445374,37772596,37903536,37981102,38134855,38218914,38506370,38716443,39406894,39437956,39530893,39897553,40396935,40507213,40651102,41115073,41778363,41980702,42374575,42641478,42927853,43090064,43159355,43161594,43306702,43453208,43768273,44127373,44246929,44461703,44474460,45375195,45508702,45557293,45761826,46073476,46150033,46207644,46298974,46622929,46742095,46900840,47175364,47263102,47439424,47821899,47917453,48013091,48068427,48137902,48400208,48476322,48539330,48884859,49436113,49668673,49882702,49960263,49969774,49986530,50045723,50596033,50849490,51288529,51331736,51382850,51791226,51882530,52436929,52454936,52763445,52783203,52856570,53008429,53122513,53369352,54032593,54062771,54239456,54450234,54647902,54712129,54945579,55009100,55025579,55164814,55402804,55925067,55939102,56023095,56090514,56281008,56550963,56846893,56958529,57257139,57477095,57515629,57585844,57748203,58168654,58247196,58624429,58937902,59011803,59065933,59176129,59757968,59835793,59983836,60040521,60282039,60418043,60820429,60851764,60985295,61019388,61395076,61659420,61690935,62015953,62034539,62259036,62340493,62341102,62614706,62813625,63316134,63427884,63526174,63814395,64060429,64966187,65297902,65344323,65509563,65770048,65803664,65888408,66010920,66078913,66139102,66538747,66643054,66780935,67001200,67227714,67314094,67322575,67576323,67816702,67949378,68068688,68088251,68383633,68590130,68696303,68764935,68902573,68972514,69154174,69213073,69233816,69341900,69729133,70321102,70382555,70411648,70448593,70587316,70820254,70884795,71374331,71493890,71775373,71899774,72138459,72383629,73182354,73349264,73391629,73492033,73792813,73991304,74029122,74117900,74124459,74262285,74268903,74380654,74778125,75242882,75368974,75376350,75610448,76006711,76470673,76577274,76601134,76771799,77019608,77232530,77351629,77449153,77487355,77888043,77987575,78074974,78323629,78375059,78607970,78710413,78903373,79109723,79213104,79696324,80137122,80246029,80284899,80401440,80682334,80763195,80787090,81291073,81574573,81827524,82222702,82233553,82308156,82517922,82563608,82608529,82707934,82950334,82982353,83040251,83210280,83240217,83354014,83837902,83954116,83983895,84096913,84154323,84321214,84459066,84692762,85061754,85384129,85546036,85720107,85761536,85767694,85792668,86147408,86172896,86311490,86385613,86647059,86747629,87121850,87135364,87288493,87647629,87737233,88163411,88540429,88620770,88757632,88850883,88941480,89066908,89114742,89144783,89331339,89337793,89449580,89733750,89778484,90451620,90828013,90922895,91027102,91050627,91321095,91343614,92125633,92178443,92212702,92291614,92679036,92884059,92940724,92984826,93001102,93407053,93585090,93611565,93866494,94329564,94870912,94886734,95273283,95536695,95716000,96092596,96216814,96481728,96743906,96915834,96944508,97026419,97070540,97072429,97170699,97230814,97268930,97409168,97480129,97578395,97697902,97985900,98241339,98344695,98397454,99446763,99756676,99800283,99824096,99852336,...,433638344202033783131276003160655918680920458501476489153570781338015271271557856044407307425715698983235918254614183907479468502910315959826949256818224562327610590541408048345294787454468887078053553246737675675899804223224810246035556684394580033045681186679043901665583705030866966408745064007995409259933846044371134750211222176206544268417643072059316645928779130911521103911187825709246324799002257220035931662925350978671887764153587716705821883954456376301973479059743220801551663430463975733376714579686960940476249828615767749653512698230495855542452878257246346378652792286042970432270747426849241468011463184233256535476378297252085141354774645076525708504365457129480702081155125773899818163336657054112103454608946798846970659751972259508889218528615434324369193045829896689958868905639880137179469972584993425076735690173404366032903799759013408064851416995254970431564698738706220839382010937780479268187201171510634276264947255290518655129581672085927754699377509620746412238106719290249575267063222710057421368997511841036580017482234025142857029549081263548886568558044696279827341846977482542277881662760064316819720346968791973726906279214916966456037177063172620692927148253007272407193599164643471103731991277096138723757688516150182406535944374768537363484278810013984190854481914812238809126157451556604685781540259348503558468368344711432911029838705515011693470248713779469197240827866325213958930472033128160629068285636201507390035732254143115170225886334608291157713257455331737150858676570134933188165285270526004856208343596894582146736342535393578725252200935441586523970752750403280154739947206280139971180223357437724824217154689295948554020940162986943710297748481064014194523465439804315315605903555824603792696950921794629600763134627155190839898487177389751616968018421393270619292651921080780272975464095735039942689935968692952268578878494652409160170109375147722244844970863433499807492982571271681748333705063407397940270205148368792899541799899264867657967424095692944678374355388499793813798099417547346296146266263274551159427993217262420882362508742305412671721092706185231823200196343354388259960192738122203906712836172568653117724120244137440550085982833262469654778259090058599005276277369678193468927295732419765061902106580606004040681293452742392253865775829292306089262586939060585697953361776140948805407659437766954145276890119449731574695927200019728494896678698083358138673978005918388962653125305412240758135025886372227121711728144224105735763239163854463475640099588998110777016182747243965132189752870250811895664171109444444069876640661891589965298932419609578349425110459931029752570176875441775522310855566725412393786694592760467082677082510230711050929481398877400770852041634963258197367301322578979563040717558759808279010089829266335221347938952842338511987800941264140194354070036287508967482398610363023656866826113577543929214906461148279133766644218849103393862308625829482620882876110427573653425748084031953298687600548235300400473177574105187207472474573495462270549473567054078519837205945238864860684893220267996007033752427182685205697827436841382024777044569851565441811072435060873478806465220004428838002305908850965458519224737475620887233765850545760957407449705006936450691125922005577040257078104306885972323277890339964448993431823168470764257190799486098000998290135387487787121044361694368032123007761812590085826958548118750194923496330834342512164313725839137917455743680747657795571349917482805743616592050968667896358885659255091306871265686644557458471610360082696937858748880285491423901913252731132724351972680848683812871745180412458178935432917819725062739991062727750493108724566327875269415041174630441512906420090846907946617646078923684252944884462717176883671320541001168192515273060933623799885074367362}
23955 620066920823976768115290750124139403595633488855125229921868539239306626226219: {1651101,2941053,3084261,3182557,3799941,4044001,4229061,4546510,4901345,5189989,5229501,5455812,5657901,5695102,5881614,5943381,6192949,6843694,7414270,8135860,8477045,8634037,8847070,8897124,9636133,9710302,9763032,9930021,10172454,10199749,10616484,10781853,10983411,11581636,11632821,11787137,12384862,12647861,12766101,13199557,13359541,13615053,13871860,14180541,14302366,14571070,15028053,15450382,15601445,15725542,16307302,16311905,16579581,16646232,16800997,17420312,17485284,17692660,17728606,17731745,18028894,18644813,18690621,18721734,18727011,18856510,19270654,19520581,19574286,19597851,19730662,19954653,20094981,20898214,21231192,21278094,22398502,22465060,22608454,22627812,22651681,22961173,23330775,23396705,23885091,23950637,24204004,24398206,24712341,24886160,24991341,25326580,25409661,25476334,26958072,27398389,27498021,27637995,27648052,27996930,28076046,28186660,29108501,29197246,29480528,29621933,29719653,29725822,29863392,30064942,30112789,30327831,30385237,30391896,30510436,31148405,31243461,31997860,32395661,32547077,32611876,32902375,32916286,33165594,33254945,33596316,33730701,33771361,33823992,34079974,34190883,34314533,34854580,34931566,35809357,36054772,36622653,36692801,37225294,37378086,37396804,37458305,37703806,37872094,38021557,38051991,38333614,38397432,39482850,39905934,40130513,40665886,40951205,41038235,41509496,41586766,41792932,41825496,42115040,42350182,42465460,42662182,42920421,42959614,43018270,43113796,43197111,43329381,43348589,44062174,44133781,44146653,44827053,44915269,44949966,45130805,45826145,45898069,46050261,46186053,46641181,46698183,47000301,47053683,47215745,47248486,47259992,47379420,47459524,47678181,48896853,49141446,49245882,49297445,49345717,49410724,49550989,49905053,50538048,50958552,51261502,51459749,51483406,51621924,51732861,52271853,52288222,53167491,53845249,53862580,54156966,54316510,54373582,54991374,55337614,55359413,55432529,55593075,55704484,55909633,56168061,56658894,56855304,56971653,57151534,57328371,57548792,57578206,57591845,57652357,57759555,58626050,58969205,59110341,59156934,59299280,59560102,60257537,60500260,60579589,60976653,61015768,61423141,61610192,61905581,62971053,63661414,63762532,63962217,64079902,64091236,64164670,64180606,64635096,64742391,64960053,65179812,65380702,65568670,66159142,66303406,66613684,66711690,66963149,66976414,67392157,67537054,67799320,68263053,68642739,68761375,68761381,69054968,69110214,69253505,69311466,69448461,70003726,70351260,70377604,70763046,70894653,71159136,71647789,71712413,71982305,72206853,72243157,72600312,72714483,72808995,73142333,73260772,73624981,73910357,74566756,74697460,74787352,74824053,74954661,74979795,75041344,75378982,75401284,75963886,76064705,76274235,76342852,76743845,76997604,77074275,77106509,77662928,77686839,77823795,78035201,78433534,78630526,78682404,79284855,79508609,79978448,80054028,80111806,80376052,80848493,80960701,81096893,81359184,81675351,81971853,82212560,82254580,82360510,82387349,82513650,82747221,83012048,83016382,83104206,83392933,83463166,83751500,83908653,84135771,84162094,84421512,84570512,85085860,85233022,86016814,86378766,86542270,86677375,87065581,87125764,87252981,87346084,87370794,88014560,88234145,88302862,88406853,88682593,89167582,89636952,89676053,89975754,90101764,91277646,91471054,91529082,91686580,91788382,91963352,92092614,92489130,92647375,92708302,93274534,93388554,93395614,93511653,93752806,93922059,94395469,94513060,94513697,94616302,94974201,95141826,95289261,96146401,96184612,96274510,96880582,97380949,97576472,97791101,97946853,98609633,98655072,98705496,98832612,99016380,99025204,99208653,99262493,99620405,99634877,99964581,...,650457516303050674696914004740983878021380687752214733730356172007022906907336784066610961138573548474853877381921275861219202754365473939740423885227336843491415885812112072517942181181703330617080329870106513513849706334837215369053335026591870049568521780018565852498375557546300449613117596011993113889900769066556702125316833264309816402626464608088974968893168696367281655866781738563869487198503385830053897494388026468007831646230381575058732825931684564452960218589614831202327495145695963600065071869530441410714374742923651624480269047345743783313679317385869519567979188429064455648406121140273862202017194776349884803214567445878127712032161967614788562756548185694221053121732688660849727245004985581168155181913420198270455989627958389263333827792923151486553789568744845034938303358459820205769204958877490137615103535260106549049355699638520112097277125492882455647347048108059331259073016406670718902280801757265951414397420882935777982694372508128891632049066264431119618357160078935374362900594834065086132053496267761554870026223351037714285544323621895323329852837067044419741012770466223813416822494140096475229580520453187960590359418822375449684055765594758931039390722379510908610790398746965206655597986915644208085636532774225273609803916562152806045226418215020976286281722872218358213689236177334907028672310389022755337702552517067149366544758058272517540205373070669203795861241799487820938395708049692240943602428454302261085053598381214672755338829501912436736569886182997605726288014855202399782247927905789007284312515395341873220104513803090368087878301403162379785956129125604920232109920809420209956770335036156587236325732033943922831031410244480415565446622721596021291785198159706472973408855333736905689045426382691944401144701940732786259847730766084627425452027632089905928938977881621170409463196143602559914034903953039428402868317741978613740255164062721583367267456295150249711239473856907522622500557595111096910405307722553189349312699848897301486951136143539417017561533082749690720697149126321019444219399394911826739141989825893631323543763113458119007581639059277847734800294515031582389940289107183305860069254258852979676586180366206160825128974249893704482167388635087898507914416054517290203390943598629647592853159870909006061021940179113588380798663743938459133893880408590878546930042664211423208111489156650431217915335179174597362043890800029592742345018047125037208010967008877583443979687958118361137202538829558340682567592216336158603644858745781695213460149383497166165524274120865947698284629305376217843496256664166666104814960992837384947948398629414367524137665689896544628855265313162663283466283350088118590680041889140700624015623765346066576394222098316101156278062452444887296050951983868469344561076338139712418515134743899502832021908429263507767981701411896210291531105054431263451223597915544535485300239170366315893822359691722418700649966328273655090793462938744223931324314165641360480138622126047929948031400822352950600709766361157780811208711860243193405824210350581117779755808917858297291027339830401994010550628640774027808546741155262073037165566854777348162716608652591310218209697830006643257003458863276448187778837106213431330850648775818641436111174557510404676036688883008365560385617156460328958484916835509946673490147734752706146385786199229147001497435203081231680681566542541552048184511642718885128740437822178125292385244496251513768246470588758706876183615521121486693357024876224208615424888076453001844538328488882636960306898529966836187707415540124045406788123320428237135852869879096699086527959021273025719307617770618687268403149376729587594109986594091625739663086849491812904122561761945662269359630136270361919926469118385526379417326694075765325506980811501752288772909591400435699827611551043}
23956 622245391756446554832720782236780139658098098337898306353226657040226770430310: {1123723,1769858,1981459,2056346,2201468,2914946,3200858,3263203,3921404,3972763,4112348,4628258,5066588,5638748,6052058,6371803,6819765,6933259,6972668,7274416,7543868,7842152,7924508,8183718,8192323,8331859,8542653,8605826,8822421,9167563,9171746,9862003,10019546,10169825,10265541,11121405,11862832,11934523,12203790,13017376,13033243,13117058,13240028,13270605,13345686,13397786,13563272,13717603,13990843,14155312,14375804,14400163,14477045,14565453,14644548,15242773,15258681,15352723,15510428,15638426,15759883,15924726,17021468,17339825,17372454,17591426,18153404,18457723,18577293,18704258,18907388,19395163,19795843,20037404,20807790,21392083,21453549,21476258,21775390,21856605,21921859,22106108,22115825,22194976,22582459,23175573,23241259,23313712,23372803,23588313,24029443,24460953,24508826,24920828,24962312,24969348,25076323,25206859,25795462,26099048,26130468,26227926,26538990,26592909,26606204,26793308,27026803,27043341,27673363,27931483,28081325,28082601,28284765,28308256,28370792,28575523,28905981,28961083,29361429,29595993,29858203,29977946,30170416,30255005,30793346,31107700,31347321,31658225,31846788,31917141,32949788,33321788,33411403,33597753,33697590,33772058,33879548,33912681,33941718,34165459,34560065,34850906,34916923,35120258,35233325,35914843,35944096,36039259,36306006,36320809,36464858,36597309,36664028,36850660,37329240,37434728,37537946,37773523,37989870,38020123,38073626,38138045,38214501,39626204,39817856,39997325,40348459,40437108,40522528,40743386,40764845,40835323,41352493,41442283,41472078,41657948,41684563,41995395,42114069,42279990,43133858,43492483,43568225,43795869,44220792,44450083,44588733,44795088,44974268,45068465,45097413,45098656,45165259,45512666,45587844,45765654,46746005,46941859,47354786,47996790,48702259,48830204,48917814,49197269,49285459,49374429,49748391,49837448,49974146,49982923,50355193,50394474,50562163,50735988,50908843,51119961,51196576,51600259,51715243,51886870,52241165,52281870,52397349,52545649,52643800,53081825,53207912,53357786,53388797,53892245,53908918,54082158,54566443,55131283,55169666,55694323,55767328,55837941,56067129,56095206,56143459,56201858,56555709,56808141,57149803,57227228,57500421,57596148,57772508,57928483,58814083,58862204,59028506,59074990,59224275,59324405,59769404,59858901,59933288,60423097,60998829,61007923,61400348,61581404,61763405,61768963,62264244,62346626,62380149,62667068,62689398,62738244,63172560,63525273,63570908,63698190,63993273,64123226,64351459,64439421,64527405,64670694,65195804,65387906,65438933,65521928,65661176,65838763,66093261,66144986,66471859,66544313,66577123,67328225,67384064,67424949,67944736,67955062,68667283,68829232,68977148,69630605,69695804,69981142,70010443,70113259,70728643,70872729,70889988,71069130,71189286,71935990,72209288,72559243,72635542,73321832,73666459,73712169,73868823,73999198,74116086,74124100,74139866,74266723,74890748,75545192,75625325,75807072,75962204,76013069,76248883,76269710,76437828,76778221,76892253,77012740,77131459,77225109,77432886,78432333,78636701,78813788,78875912,79061786,79703165,79795106,79935643,80114045,80126803,80467933,80793870,81014426,81235449,81302204,81474765,81560373,82230146,82487061,83006421,83239363,83267105,83425483,83556726,83889523,83961404,84749150,84948677,84988341,85282956,85379413,85636459,85727301,85855706,86000923,86180128,86318710,86323188,86367309,86613404,86906416,87447259,87536546,87895459,87939075,87972005,88254746,88493858,88735401,88786459,88923406,88948920,89340153,89582203,89826113,90750390,91017404,91114586,91523652,91575965,91848259,91934443,92146952,92192563,92300066,92415288,92597948,93048283,93208445,93245858,93371825,93484190,93493309,93643003,93801680,93981259,94251605,94350728,94526204,94878848,94905523,95322763,95428565,95492121,95643798,95834906,95986603,96026182,96119853,96136854,96247005,96270909,96275804,96800416,96891859,96952644,97078660,97769718,98031403,98071053,98353005,98535577,98872226,99238713,99337346,99455109,99765404,99920526,99939548,99973060,...,867276688404067566262552006321311837361840917002952978307141562676030542543115712088814614851431397966471836509228367814958937005820631919653898513636449124655221181082816096690589574908937774156107106493475351351799608446449620492071113368789160066091362373358087803331167410061733932817490128015990818519867692088742269500422444352413088536835286144118633291857558261823042207822375651418492649598004514440071863325850701957343775528307175433411643767908912752603946958119486441603103326860927951466753429159373921880952499657231535499307025396460991711084905756514492692757305584572085940864541494853698482936022926368466513070952756594504170282709549290153051417008730914258961404162310251547799636326673314108224206909217893597693941319503944519017778437057230868648738386091659793379917737811279760274358939945169986850153471380346808732065807599518026816129702833990509940863129397477412441678764021875560958536374402343021268552529894510581037310259163344171855509398755019241492824476213438580499150534126445420114842737995023682073160034964468050285714059098162527097773137116089392559654683693954965084555763325520128633639440693937583947453812558429833932912074354126345241385854296506014544814387198329286942207463982554192277447515377032300364813071888749537074726968557620027968381708963829624477618252314903113209371563080518697007116936736689422865822059677411030023386940497427558938394481655732650427917860944066256321258136571272403014780071464508286230340451772669216582315426514910663474301717353140269866376330570541052009712416687193789164293472685070787157450504401870883173047941505500806560309479894412560279942360446714875449648434309378591897108041880325973887420595496962128028389046930879608630631211807111649207585393901843589259201526269254310381679796974354779503233936036842786541238585303842161560545950928191470079885379871937385904537157756989304818320340218750295444489689941726866999614985965142543363496667410126814795880540410296737585799083599798529735315934848191385889356748710776999587627596198835094692592292532526549102318855986434524841764725017484610825343442185412370463646400392686708776519920385476244407813425672345137306235448240488274881100171965666524939309556518180117198010552554739356386937854591464839530123804213161212008081362586905484784507731551658584612178525173878121171395906723552281897610815318875533908290553780238899463149391854400039456989793357396166716277347956011836777925306250610824481516270051772744454243423456288448211471526478327708926951280199177996221554032365494487930264379505740501623791328342218888888139753281323783179930597864839219156698850220919862059505140353750883551044621711133450824787573389185520934165354165020461422101858962797754801541704083269926516394734602645157959126081435117519616558020179658532670442695877905684677023975601882528280388708140072575017934964797220726047313733652227155087858429812922296558267533288437698206787724617251658965241765752220855147306851496168063906597375201096470600800946355148210374414944949146990924541098947134108157039674411890477729721369786440535992014067504854365370411395654873682764049554089139703130883622144870121746957612930440008857676004611817701930917038449474951241774467531701091521914814899410013872901382251844011154080514156208613771944646555780679928897986863646336941528514381598972196001996580270774975574242088723388736064246015523625180171653917096237500389846992661668685024328627451678275834911487361495315591142699834965611487233184101937335792717771318510182613742531373289114916943220720165393875717497760570982847803826505462265448703945361697367625743490360824916357870865835639450125479982125455500986217449132655750538830082349260883025812840181693815893235292157847368505889768925434353767342641082002336385030546121867247599770148734724}
23957 624431466771015275587769884909469560551648731350866466372177354229597341906784: {23957,2654787,2751835,3084519,3302202,4372419,4474723,4801287,4901755,5140435,5882106,6168522,6333235,6365114,6861883,6942387,7048435,7599882,7629523,8088002,8458122,8715835,9078087,9093020,9351547,9429835,9730963,9802690,9905635,10379978,10459002,10911624,11315802,11390204,11763228,11788123,11867863,11886762,12275577,12355783,12385898,12600043,12648919,12908739,13173859,13687388,13757619,13929619,14828540,15029319,15502663,16271720,16550035,16657603,16954090,17268074,17598823,17694140,17794248,17969755,18305685,19090507,19170019,19272266,19388035,19420604,19526064,19675587,19860042,20018529,20096679,20099059,20344908,20399498,21232968,21276835,21522187,21563706,21842023,21966822,22034779,22531099,22691755,22836667,23163272,23265642,23356003,23457639,23574274,23634235,23887089,24762523,24769724,24824443,25046755,25295722,25532202,25821847,26058681,26387139,26399114,26719082,26768359,27191347,27230106,27632635,27743720,28056387,28361082,28401643,28604732,28809883,29142140,29624419,30056106,30900764,31151035,31202890,31211685,31451084,32214387,32614604,32623810,32663085,32755387,33159162,33257755,33275143,33292464,33491635,33493819,33601994,33662227,34791703,34840624,34970568,35007739,35385320,35457212,35463490,36057788,36224443,36763239,37289626,37381242,37443468,37454022,37713020,38541308,38693193,38884625,39041162,39148572,39195702,39223339,39341889,39461324,39808485,39909306,40189962,40553539,40839859,41083603,41187235,41515147,41652235,41796428,42088099,42349435,42462384,42556188,43352227,43607767,44158843,44797004,44930120,44966919,45216908,45240019,45255624,45303362,45771667,45830035,45922346,45995563,46063325,46190019,46556923,46661550,46793410,46797223,47770182,47901274,48408008,48448423,48796412,49121563,49424682,49532755,49772320,49982682,50427619,50546385,50653160,50658087,50819322,50912577,50952668,51412267,51982183,52072435,52276359,52441627,52680387,53916144,54459009,54697287,54796778,54996042,55275990,55296104,55364059,55993860,56152092,56217835,56241763,56306919,56373320,56455639,56984805,57110439,57331687,57453529,57710083,58217002,58394492,58638247,58961056,58978699,59226343,59243866,59427787,59439306,59451644,59726784,60129884,60225578,60655662,60770474,60783792,60816067,61020872,61037755,61066363,61115079,61954003,62208117,62296810,62486922,63183127,63419985,63995720,64156603,64700787,64791322,65094154,65223752,65804750,65832572,66102043,66331188,66509890,66968803,67036603,67192632,67346659,67461402,67491547,67542722,67647984,68159948,68268999,68381766,68629066,68648481,69016423,69709160,69789283,69863132,69898747,70060243,71032179,71534035,71618714,71995185,72109544,72119443,72215635,72304723,73245306,73376721,73385602,73577755,73662919,74450588,74711755,74756172,74793608,74916610,74961219,75291859,75407612,75591711,75744188,76043114,76103982,76667228,76750435,76794864,76976755,77830305,77913907,78333835,78422805,78475483,78965700,79007623,79138267,79463635,79515307,79811868,80036679,80261026,80315803,80628583,80863377,81103699,81123237,81331772,81368419,81494755,81902410,82076470,82394323,82556887,82754499,83018992,83173532,83416939,83585864,83650992,84142809,84230080,84302787,84700364,84930920,85052839,85324364,85840842,85919228,86036540,86177863,86221435,86227592,86394222,86440939,86658762,86697178,86944723,87119755,87518563,87659083,88124348,88267562,88293306,88484503,88542759,88612485,88862563,89011603,89654106,89683579,89830538,89899932,90077383,90261610,91289047,91611619,91652290,91796138,92100522,92202139,92372106,92655125,92949127,93282362,93396366,93519939,93613435,94000602,94034097,94107366,94203943,94275667,94431490,94496972,94519984,94545019,94728163,94758840,94919048,94952755,95356362,95547285,95548219,95893459,96184839,96265925,96954907,97006041,97366867,97793706,98081859,98250823,98282892,98491764,98517235,98594890,98691434,98821448,98883739,99101978,99217479,99270919,99810106,99811303,...,1300915032606101349393828009481967756042761375504429467460712344014045813814673568133221922277147096949707754763842551722438405508730947879480847770454673686982831771624224145035884362363406661234160659740213027027699412669674430738106670053183740099137043560037131704996751115092600899226235192023986227779801538133113404250633666528619632805252929216177949937786337392734563311733563477127738974397006771660107794988776052936015663292460763150117465651863369128905920437179229662404654990291391927200130143739060882821428749485847303248960538094691487566627358634771739039135958376858128911296812242280547724404034389552699769606429134891756255424064323935229577125513096371388442106243465377321699454490009971162336310363826840396540911979255916778526667655585846302973107579137489690069876606716919640411538409917754980275230207070520213098098711399277040224194554250985764911294694096216118662518146032813341437804561603514531902828794841765871555965388745016257783264098132528862239236714320157870748725801189668130172264106992535523109740052446702075428571088647243790646659705674134088839482025540932447626833644988280192950459161040906375921180718837644750899368111531189517862078781444759021817221580797493930413311195973831288416171273065548450547219607833124305612090452836430041952572563445744436716427378472354669814057344620778045510675405105034134298733089516116545035080410746141338407591722483598975641876791416099384481887204856908604522170107196762429345510677659003824873473139772365995211452576029710404799564495855811578014568625030790683746440209027606180736175756602806324759571912258251209840464219841618840419913540670072313174472651464067887845662062820488960831130893245443192042583570396319412945946817710667473811378090852765383888802289403881465572519695461532169254850904055264179811857877955763242340818926392287205119828069807906078856805736635483957227480510328125443166734534912590300499422478947713815045245001115190222193820810615445106378698625399697794602973902272287078834035123066165499381441394298252642038888438798789823653478283979651787262647087526226916238015163278118555695469600589030063164779880578214366611720138508517705959353172360732412321650257948499787408964334777270175797015828832109034580406781887197259295185706319741818012122043880358227176761597327487876918267787760817181757093860085328422846416222978313300862435830670358349194724087781600059185484690036094250074416021934017755166887959375916236722274405077659116681365135184432672317207289717491563390426920298766994332331048548241731895396569258610752435686992513328333332209629921985674769895896797258828735048275331379793089257710530626325326566932566700176237181360083778281401248031247530692133152788444196632202312556124904889774592101903967736938689122152676279424837030269487799005664043816858527015535963402823792420583062210108862526902447195831089070970600478340732631787644719383444837401299932656547310181586925877488447862648628331282720960277244252095859896062801644705901201419532722315561622417423720486386811648420701162235559511617835716594582054679660803988021101257281548055617093482310524146074331133709554696325433217305182620436419395660013286514006917726552896375557674212426862661701297551637282872222349115020809352073377766016731120771234312920657916969833671019893346980295469505412292771572398458294002994870406162463361363133085083104096369023285437770257480875644356250584770488992503027536492941177517413752367231042242973386714049752448417230849776152906003689076656977765273920613797059933672375414831080248090813576246640856474271705739758193398173055918042546051438615235541237374536806298753459175188219973188183251479326173698983625808245123523891324538719260272540723839852938236771052758834653388151530651013961623003504577545819182800871399655223102086}
23958 626625172238350083638620702758447942495634168048459779139622199929692843926098: {693941,980597,1123817,1410041,1695977,1886441,2124341,2247446,2409557,3026537,3121337,3310841,3539716,3736757,3962918,4112692,4402936,4539497,4680917,4953303,5010617,5668841,5829892,6372341,6401716,6419177,6526406,6653237,7820537,7842808,7945526,8224696,8239541,8472041,8823159,9252783,9256516,9353717,9446357,9547671,9631541,9862841,9909077,10133176,10555541,10832117,11277496,11366275,11399823,11706041,12104116,12132003,12668597,12687183,12743606,13639530,13718777,13866518,13945336,14037557,14237755,14446841,14548832,14704035,14719337,15082217,15087736,15399317,15569967,15684304,15688503,15849016,16367436,16384646,16663718,16973703,17085306,17109235,17211652,17563157,17644842,17652917,17830143,17832341,18335126,18343492,18535675,18578847,19129337,19724006,19842041,20039092,20242037,20267863,20339650,20463977,20531082,21172841,21393941,21570677,21658997,21791417,22117675,22242810,22892117,23418677,23725664,23869046,24075257,24275755,24407580,24860777,25078517,25431135,25902111,26034752,26066486,26234116,26250857,26480056,26541210,26683577,26691372,26795572,26899637,27126544,27435206,27675797,27976937,27981686,28105877,28310624,28363541,28578041,28751608,28800326,28908399,28954090,29006441,29130906,29220341,29289096,29604857,29790063,29860841,29903477,30485546,30517362,30599247,30705446,30962155,31020856,31276852,31519766,31771541,31849452,32151737,32345559,32573417,32950233,33456341,33917417,34042936,34679650,34711541,34744908,34898463,35086697,35182852,35361411,35755915,35959541,36306808,36427675,36915446,37154586,37159097,37408516,37814776,37818041,37943583,38298303,38625955,38790326,39313855,39591686,39598671,39619577,39904757,40074808,40078623,40108217,40768255,40839017,40845159,41243897,41486441,41615580,42051257,42357007,42534137,42541623,42784166,42907098,42952516,43550780,43713210,43843718,43856117,44212216,44231650,44321515,44389952,44493941,45072235,45084159,45164918,45644777,45882041,46351146,46482518,46627424,46631477,46710197,46745606,46804335,47141275,47176626,48004457,48058886,48176635,48277877,48384091,48921906,48935715,49017652,49326655,49738743,49755317,49841656,49924624,49938696,49987541,50026217,50152646,50402991,50413718,50605397,50721017,50913557,51182777,51374837,51528341,51590924,51720041,52198096,52245535,52260936,52446677,52455852,52522997,52866041,53018297,53077980,53185818,53195235,53208437,53212408,53393263,53586616,54053606,54086682,54382841,54609257,54722357,54985183,55136441,55346726,55849397,55862966,55934439,55996255,56071863,56162650,56165202,56181033,56521135,56569530,56616512,56741584,57070783,57151046,57192341,57600617,57811962,57922166,57970937,58142227,58561743,58635497,58722858,58793553,59040341,59191986,59260757,59590841,59716406,59863959,59920277,59955892,60176057,60284943,60285557,60340832,60510010,60995515,61013717,61557737,61586692,61774841,62099957,62215400,62694642,62856041,63071417,63095851,63214841,63316450,63537077,63690835,63693576,63834282,63965717,64286441,64819541,65444407,65880341,65899576,66197177,66583541,66643576,66822806,67195506,67318457,67395180,67544116,67759096,67825362,67883436,67955043,68330918,68500841,68708537,68883519,68985017,69120130,69192041,69701812,69833846,69992325,70017257,70190115,70240516,70466650,70735541,71655273,71829686,71851911,71888192,71890997,72060137,72078518,72397817,72600041,72612012,72641618,72929716,72993115,73137631,73194618,73328056,73573397,73701320,73807337,74137023,74314555,74473577,74658480,74869456,74904917,74974023,75075892,75103541,75162355,75400937,75449143,75547046,75598841,75979740,76040246,76147252,76228983,76276090,76429002,76551317,77432057,78339257,78403817,78643279,78693941,78983417,79252408,79304297,79635712,79994650,80166677,80696918,80874216,81045056,81275897,81486772,81529690,81670646,82030841,82195167,82290715,82312757,82494063,82704986,82884566,82913985,82944156,83054167,83278841,83315896,83369126,83464937,83619797,83898041,83928917,83990790,84083177,84228138,84483317,84559980,84955783,85199935,85279541,86267716,86468767,86825657,86915957,86984966,87136450,87276437,87325503,87328915,87591738,87814997,88441584,88558697,88865799,88900166,89158959,89177466,89590176,89620841,89767541,89833627,89884757,89948536,90136930,90194826,90197312,90330518,90338367,90381497,90817877,90983493,91025332,91155711,91175688,91252457,91531308,91972757,92202197,92934283,92972777,93058037,93063235,93228341,93445215,93492010,93730383,93883718,94187957,94259515,94680235,94709572,94776041,94942639,94943417,95332841,95610041,95834035,95993580,96162041,96436841,97147577,97186983,97404518,97482847,97641231,97660408,97663541,97835628,97906937,98394538,98570918,98606441,98707125,98748858,98847317,99496782,99674896,99764835,99948292,99965846,...,1951372548909152024090742014222951634064142063256644201191068516021068720722010352199832883415720645424561632145763827583657608263096421819221271655682010530474247657436336217553826543545109991851240989610319540541549119004511646107160005079775610148705565340055697557495126672638901348839352788035979341669702307199670106375950499792929449207879393824266924906679506089101844967600345215691608461595510157490161692483164079404023494938691144725176198477795053693358880655768844493606982485437087890800195215608591324232143124228770954873440807142037231349941037952157608558703937565287193366945218363420821586606051584329049654409643702337634383136096485902844365688269644557082663159365198065982549181735014956743504465545740260594811367968883875167790001483378769454459661368706234535104814910075379460617307614876632470412845310605780319647148067098915560336291831376478647366942041144324177993777219049220012156706842405271797854243192262648807333948083117524386674896147198793293358855071480236806123088701784502195258396160488803284664610078670053113142856632970865685969989558511201133259223038311398671440250467482420289425688741561359563881771078256467126349052167296784276793118172167138532725832371196240895619966793960746932624256909598322675820829411749686458418135679254645062928858845168616655074641067708532004721086016931167068266013107657551201448099634274174817552620616119212007611387583725398463462815187124149076722830807285362906783255160795143644018266016488505737310209709658548992817178864044565607199346743783717367021852937546186025619660313541409271104263634904209487139357868387376814760696329762428260629870311005108469761708977196101831768493094230733441246696339868164788063875355594479119418920226566001210717067136279148075833203434105822198358779543192298253882276356082896269717786816933644863511228389588430807679742104711859118285208604953225935841220765492188164750101802368885450749133718421570722567867501672785333290731215923167659568047938099546691904460853408430618251052684599248249072162091447378963058332658198184735480217425969477680893970631289340374357022744917177833543204400883545094747169820867321549917580207762776558939029758541098618482475386922749681113446502165905263695523743248163551870610172830795888942778559479612727018183065820537340765142395991231815377401681641225772635640790127992634269624334467469951293653746005537523792086131672400088778227035054141375111624032901026632750331939063874355083411607616488675022047702776649008475810934576237345085640380448150491498496572822362597843094853887916128653530488769992499998314444882978512154843845195888243102572412997069689633886565795939487989850398850050264355772040125667422101872046871296038199729182666294948303468834187357334661888152855951605408033683229014419137255545404231698508496065725287790523303945104235688630874593315163293790353670793746633606455900717511098947681467079075167256101949898984820965272380388816232671793972942496924081440415866378143789844094202467058851802129299083473342433626135580729580217472631051743353339267426753574891873082019491205982031651885922322083425640223465786219111496700564332044488149825957773930654629093490019929771010376589829344563336511318640293992551946327455924308333523672531214028110066649025096681156851469380986875454750506529840020470443204258118439157358597687441004492305609243695042044699627624656144553534928156655386221313466534375877155733488754541304739411766276120628550846563364460080071074628672625846274664229359005533614985466647910880920695589900508563122246620372136220364369961284711407558609637290097259583877063819077157922853311856061805209448130188762782329959782274877218989260548475438712367685285836986808078890408811085759779407355156579138251980082227295976520942434505256866318728774201307099482834653129}
23959 628826534619978041403558880285393879471726859189044821964421842522684413030259: {47914,3371169,3852569,4424645,5001161,5140865,5288309,5309574,5503670,5944377,6169038,6604404,6862457,7196609,7287365,8002145,8155697,8744838,8866529,8949446,9016709,9602574,9731777,9789609,9803510,9867809,10280870,10451729,11500229,11570645,11764212,11918289,12202169,12337044,12601097,12666470,12730228,13174961,13201769,13723766,13867889,13884774,14082401,14096870,14602289,15130145,15199764,15259046,16028177,16176004,16462277,16916244,17431670,17470169,18156174,18186040,18321329,18617321,18703094,18859670,19115409,19461926,19605380,19811270,20338049,20459295,20742161,20759956,20798609,20799777,20918004,21336449,21485201,21514565,21823248,22631604,22655477,22780408,22929365,23170049,23526456,23576246,23630177,23735726,23773524,24054209,24551154,24576969,24711566,24771796,24995577,25048865,25157657,25200086,25297838,25627959,25637189,25817478,26347718,26467263,27143249,27374776,27502689,27515238,27602549,27675761,27859238,29586009,29621429,29657080,29787089,29787569,30058638,30360377,30390329,30509475,30796623,31005326,31768457,32199281,32543440,32792645,33087929,33100070,33315206,33364215,33494465,33908180,34536148,35010677,35065457,35197646,35388280,35588496,35803569,35939510,36611370,36782129,37622489,37991489,38181014,38340038,38544532,38685689,38776070,38841208,39052128,39096065,39099729,39325169,39351174,39720084,39811815,40037058,40193358,40198118,40689816,40798996,41152809,41972529,42224261,42465936,42553670,43044374,43127412,43200489,43348169,43431135,43611449,43656401,43684046,43696359,43933644,43978565,44069558,44141177,44162549,45062198,45383510,45673334,45728319,45776043,46058169,46326544,46531284,46560857,46712006,46760645,46807109,46888289,46915278,47148548,47268470,47279649,47320097,47774178,48239249,48452489,48553349,49354001,49525046,49539448,49648886,50093510,50505269,50591444,51064404,51156569,51643694,52019475,52117362,52509257,52774278,52798228,53438164,53465477,53536718,53690645,54382694,54438475,54460212,55265270,55305809,55373169,55487440,55731879,56112774,56460377,56722164,56803286,57209464,57460769,57619766,57662129,58185489,58284280,58313129,59248838,59289209,59387529,59596277,59666357,59734289,59748161,60112212,60525209,61272065,61433489,61801528,62302070,62405780,62423370,62858441,62902168,64162049,64176249,64360647,64428774,64488655,65229208,65247620,65326170,65510774,65569815,65765577,66318324,66347475,66515510,66550286,66584928,66983270,66987638,67042229,67203988,67324454,67747377,68250641,69345857,69526719,69583406,69681248,69723777,69941136,69994769,70015478,70118409,70581137,70764939,70770640,70914424,70926980,71171249,71659817,72088329,72115576,72125537,72448886,72901409,73112597,73382859,73526478,74579252,74602337,74762484,74886936,74908044,74944865,75228969,75426040,75431729,75620577,76983365,77082616,77386386,77769250,78082324,78122129,78297144,78391404,78446678,78482069,78683778,78704969,78922648,79144949,79616970,79778727,79818612,80322569,80379924,80484401,80811161,81080409,81107078,81130023,81679718,82167206,82374470,82798469,83020089,83030294,83304470,83592856,83794449,84176198,84243975,84247803,84430145,84698870,84854295,84924768,85059977,85112376,85232069,85452857,85726569,86704454,86717943,86883249,87056177,87080249,87127265,87215534,87800645,88084287,88317686,88491929,88787979,88870049,89124977,89574609,89594008,89764721,89860240,89918729,89933838,90433816,90480038,90511248,90596561,90606724,90765015,90774209,91162145,91185929,91543334,91660070,91844692,91991126,92126650,92209877,92380038,93113846,93323100,93586820,93594446,93704537,93844865,94041963,94211849,94974675,95184065,95196497,95540364,95751423,95802548,96037829,96162677,96816016,96896846,97375109,97397297,97592824,98243126,98849364,99065510,99349049,99544640,99763649,99965364,...,2601830065212202698787656018963935512085522751008858934921424688028091627629347136266443844554294193899415509527685103444876811017461895758961695540909347373965663543248448290071768724726813322468321319480426054055398825339348861476213340106367480198274087120074263409993502230185201798452470384047972455559603076266226808501267333057239265610505858432355899875572674785469126623467126954255477948794013543320215589977552105872031326584921526300234931303726738257811840874358459324809309980582783854400260287478121765642857498971694606497921076189382975133254717269543478078271916753716257822593624484561095448808068779105399539212858269783512510848128647870459154251026192742776884212486930754643398908980019942324672620727653680793081823958511833557053335311171692605946215158274979380139753213433839280823076819835509960550460414141040426196197422798554080448389108501971529822589388192432237325036292065626682875609123207029063805657589683531743111930777490032515566528196265057724478473428640315741497451602379336260344528213985071046219480104893404150857142177294487581293319411348268177678964051081864895253667289976560385900918322081812751842361437675289501798736223062379035724157562889518043634443161594987860826622391947662576832342546131096901094439215666248611224180905672860083905145126891488873432854756944709339628114689241556091021350810210068268597466179032233090070160821492282676815183444967197951283753582832198768963774409713817209044340214393524858691021355318007649746946279544731990422905152059420809599128991711623156029137250061581367492880418055212361472351513205612649519143824516502419680928439683237680839827081340144626348945302928135775691324125640977921662261786490886384085167140792638825891893635421334947622756181705530767777604578807762931145039390923064338509701808110528359623715755911526484681637852784574410239656139615812157713611473270967914454961020656250886333469069825180600998844957895427630090490002230380444387641621230890212757397250799395589205947804544574157668070246132330998762882788596505284077776877597579647306956567959303574525294175052453832476030326556237111390939201178060126329559761156428733223440277017035411918706344721464824643300515896999574817928669554540351594031657664218069160813563774394518590371412639483636024244087760716454353523194654975753836535575521634363514187720170656845692832445956626601724871661340716698389448175563200118370969380072188500148832043868035510333775918751832473444548810155318233362730270368865344634414579434983126780853840597533988664662097096483463790793138517221504871373985026656666664419259843971349539791793594517657470096550662759586178515421061252650653133865133400352474362720167556562802496062495061384266305576888393264404625112249809779549184203807935473877378244305352558849674060538975598011328087633717054031071926805647584841166124420217725053804894391662178141941200956681465263575289438766889674802599865313094620363173851754976895725297256662565441920554488504191719792125603289411802402839065444631123244834847440972773623296841402324471119023235671433189164109359321607976042202514563096111234186964621048292148662267419109392650866434610365240872838791320026573028013835453105792751115348424853725323402595103274565744444698230041618704146755532033462241542468625841315833939667342039786693960590939010824585543144796916588005989740812324926722726266170166208192738046570875540514961751288712501169540977985006055072985882355034827504734462084485946773428099504896834461699552305812007378153313955530547841227594119867344750829662160496181627152493281712948543411479516386796346111836085092102877230471082474749073612597506918350376439946376366502958652347397967251616490247047782649077438520545081447679705876473542105517669306776303061302027923246007009155091638365601742799310446204172}
23960 631035580468597147401163774487320105299916474709653465735458253387244146664227: {71871,741799,1028431,1387882,1457839,1600831,1743751,1961194,2247634,2457271,2820082,3026791,3391954,3772882,4248682,4494892,4587031,4728439,4819114,5716279,6053074,6242674,6419719,6621682,6700591,7079432,7473514,7821199,7925836,7960951,7964361,8225384,8255505,8658631,8805872,8937199,9078994,9253557,9354511,9361834,9906606,9909919,10021234,10879111,11337682,11431351,11659784,12744682,12803432,12838354,13052812,13117257,13306474,13424169,14403861,14705265,15421305,15641074,15685616,15891052,15912785,16078879,16449392,16479082,16484959,16944082,17025391,17429959,17564671,17646318,18237151,18505566,18513032,18707434,18892714,18999705,19095342,19175599,19263082,19725682,19818154,19932857,20220005,20266352,20585649,20827161,20909071,21111082,21145305,21174679,21664234,22234231,22554992,22732550,22799646,22888569,22894111,23412082,23814919,23952929,24208232,24264006,24506725,25337194,25374366,25487212,25949945,26147505,26296471,27234261,27279060,27437554,27733036,27890672,28054641,28075114,28289505,28475510,28893682,29097664,29192889,29265679,29408070,29438674,29716905,29906119,30164434,30175472,30798634,30964745,31139934,31368608,31377006,31698032,32196799,32734872,32769292,32828959,33327436,33947406,33986057,34170612,34218470,34423304,35126314,35289684,35305834,35339599,35364369,35603589,35660286,35664682,36670252,36686984,36826731,36956071,37067349,37071350,37157694,37203679,37800129,37946757,38258674,38726217,39448012,39521577,39663919,39684082,39908359,40078184,40484074,40518199,40535726,40679300,40927954,41062164,41247631,41272857,41788857,42345682,42385225,42578191,42787882,43141354,43170185,43317994,43347017,43582834,43900039,44235350,44259031,44485620,45087957,45688519,45784234,46507989,46753831,46837354,47107639,47451328,47738092,47930671,48150514,48180665,48282319,48551510,48815160,49566151,49650105,49721554,49972809,50030839,50058281,50157034,50725711,50862270,50998745,51187519,51417991,51804222,52069504,52132972,52451551,52468232,52501714,52796469,52960112,53023231,53082420,53137351,53367154,53382744,53591144,53799274,53909265,54076337,54253088,54870412,54917055,55039397,55351594,55953874,55963372,56211754,56415511,56621248,56727082,56974591,57075557,57086191,57156082,57271521,57503216,57510057,57600652,57643111,57816798,57908180,58012882,58164105,58261812,58309039,58440682,58578192,58641031,58935685,59026761,59082679,59192911,59209714,59303071,59580126,59721682,59806954,60055587,60290037,60297177,60971092,61034724,61198494,61410892,61924310,62041712,62050121,62553704,62897959,63039532,63101129,63239305,63543082,63698904,63830505,63971839,64303474,64566561,64691118,64982489,65146834,65526069,65900466,65997785,66104337,66203551,66730231,66797705,66912682,66940399,67359871,67447289,67593297,67834834,68075265,68085872,68507479,68510001,68713541,69057317,69233239,69359300,69423082,69489816,69796926,70068009,70173394,70365704,70372917,70722822,70902705,71511830,71661267,71898031,71919082,72100999,72613616,72809119,72855350,73143749,73413271,73513711,73830892,73914751,74287569,74309172,74318194,74473329,74514151,74812879,74817032,75140265,75408391,75629552,75636082,75887166,76596606,77251910,77374711,77465541,77472271,77580652,78007225,78056119,78176043,78394757,78627710,78733999,79129589,79161417,79183372,79197342,79239154,79312231,79809514,80149616,80157246,80216434,80305077,81315631,81410239,81536510,81559525,81574041,81678034,81690318,82352359,82487794,82897905,82972882,83007559,83231160,83659231,83896681,83937439,84004985,84102514,84122551,84169161,84714014,85068274,85083246,85204929,85393721,85410271,85501711,85568332,85814196,85905032,86429649,87101560,87315391,87426420,87687436,87712234,87764311,87853879,88424432,88463300,88643030,88658725,88779904,88873257,88987882,89167169,89806159,90144470,90168318,90329836,90856351,90943399,91289554,91764082,92702292,92942057,92965036,93224065,93254848,93262954,93420394,93453105,93491212,93521359,93608670,93635055,94113559,94282550,94353252,94618351,94950581,96008914,96117772,96199759,96353270,96555754,96643161,96768182,97103431,97602905,97843812,97871430,97989255,98035304,98266161,98643799,98653310,99204751,99477486,99510634,99683312,99773265,99825429,99849248,99877392,99975082,...,3902745097818304048181484028445903268128284126513288402382137032042137441444020704399665766831441290849123264291527655167315216526192843638442543311364021060948495314872672435107653087090219983702481979220639081083098238009023292214320010159551220297411130680111395114990253345277802697678705576071958683339404614399340212751900999585858898415758787648533849813359012178203689935200690431383216923191020314980323384966328158808046989877382289450352396955590107386717761311537688987213964970874175781600390431217182648464286248457541909746881614284074462699882075904315217117407875130574386733890436726841643173212103168658099308819287404675268766272192971805688731376539289114165326318730396131965098363470029913487008931091480521189622735937767750335580002966757538908919322737412469070209629820150758921234615229753264940825690621211560639294296134197831120672583662752957294733884082288648355987554438098440024313413684810543595708486384525297614667896166235048773349792294397586586717710142960473612246177403569004390516792320977606569329220157340106226285713265941731371939979117022402266518446076622797342880500934964840578851377483122719127763542156512934252698104334593568553586236344334277065451664742392481791239933587921493865248513819196645351641658823499372916836271358509290125857717690337233310149282135417064009442172033862334136532026215315102402896199268548349635105241232238424015222775167450796926925630374248298153445661614570725813566510321590287288036532032977011474620419419317097985634357728089131214398693487567434734043705875092372051239320627082818542208527269808418974278715736774753629521392659524856521259740622010216939523417954392203663536986188461466882493392679736329576127750711188958238837840453132002421434134272558296151666406868211644396717559086384596507764552712165792539435573633867289727022456779176861615359484209423718236570417209906451871682441530984376329500203604737770901498267436843141445135735003345570666581462431846335319136095876199093383808921706816861236502105369198496498144324182894757926116665316396369470960434851938955361787941262578680748714045489834355667086408801767090189494339641734643099835160415525553117878059517082197236964950773845499362226893004331810527391047486496327103741220345661591777885557118959225454036366131641074681530284791982463630754803363282451545271281580255985268539248668934939902587307492011075047584172263344800177556454070108282750223248065802053265500663878127748710166823215232977350044095405553298016951621869152474690171280760896300982996993145644725195686189707775832257307060977539984999996628889765957024309687690391776486205144825994139379267773131591878975979700797700100528711544080251334844203744093742592076399458365332589896606937668374714669323776305711903210816067366458028838274511090808463397016992131450575581046607890208471377261749186630326587580707341587493267212911801435022197895362934158150334512203899797969641930544760777632465343587945884993848162880831732756287579688188404934117703604258598166946684867252271161459160434945262103486706678534853507149783746164038982411964063303771844644166851280446931572438222993401128664088976299651915547861309258186980039859542020753179658689126673022637280587985103892654911848616667047345062428056220133298050193362313702938761973750909501013059680040940886408516236878314717195374882008984611218487390084089399255249312289107069856313310772442626933068751754311466977509082609478823532552241257101693126728920160142149257345251692549328458718011067229970933295821761841391179801017126244493240744272440728739922569422815117219274580194519167754127638154315845706623712123610418896260377525564659919564549754437978521096950877424735370571673973616157780817622171519558814710313158276503960164454591953041884869010513732637457548402614198965669306258}
23961 633252336428388420972110344542452207191778127018381496496474834026996457122388: {95828,2081823,2941791,3371451,4230123,5087931,5618615,5659323,5910463,6194503,6373023,6742338,7197211,7228671,7705138,8849290,9079611,9364011,9638551,9907295,9932523,10002322,10202311,10281730,10576618,10619148,10782959,11007340,11203003,11210271,11501191,11888754,12338076,13208808,13618491,13724914,14042751,14083579,14393218,14574730,14859909,15031851,15947303,16004290,16198903,16311394,16316015,17006523,17489676,17733058,17898892,18033418,18649499,18942391,19117023,19205148,19257531,19463554,19525483,19579218,19607020,19735618,19863815,19959711,20561740,20903458,21182203,22966939,23000458,23141290,23461611,23528424,23836578,24404338,24513463,24674088,24718623,25202194,25332940,25416123,25460456,26349922,26403538,26469477,27405271,27447532,27735778,27758349,27769548,28061151,28164802,28193740,28339071,28643013,28814711,28894623,29204578,29588523,29727231,30120391,30260290,30399528,30518092,31666623,31841371,31859015,32056354,32101111,32352008,32403803,32496351,32701303,32924554,33106303,33832488,34098825,34199469,34323179,34666295,34863340,34940338,35068411,35118123,35886191,36312348,36372080,36396009,36642658,36702023,37234642,37406188,37719340,38005791,38061549,38230818,38923852,39009839,39210760,39622540,40140599,40676098,40846703,40918590,40961615,41156331,41484322,41519912,41597218,41599554,41659295,41836008,42112671,42672898,42713265,42970402,43029130,43340523,43646496,44112105,44158011,45136279,45246651,45263208,45310954,45560816,45779351,45837815,45858730,45909703,46003271,46197951,46340098,46709901,46892251,47052912,47065509,47152492,47260354,47471452,47547048,48108418,49102308,49153938,49310015,49358143,49423132,49543592,49991154,50097730,50315314,50400172,50595676,50849125,50921109,51255918,51274378,51327705,51472751,51634956,52689471,52695436,52934526,52958751,53031551,53490429,53497023,53988391,54286498,54734491,54749552,55005378,55030476,55205098,55351522,55607025,55718476,55736541,55923751,57388011,58648091,59141503,59172018,59242858,59314160,59526123,59574178,59575138,59672615,60117276,60720754,60726111,60780658,60803589,61018950,61391931,61569991,61593246,62010652,62576911,63518523,63536914,64181823,64398562,64712031,64976991,65086880,65166215,65374251,65464903,65585290,66175858,66200140,66353025,66630412,66728430,66988930,67816360,68526491,68588015,68676351,69072296,69800999,69954215,70021354,70130914,70256031,70395292,70611463,70776560,71176992,71607138,71665831,71879020,72000815,72225771,72385225,72827265,73160879,73222740,73564258,74582331,74996951,75166903,75235551,75244978,75982978,76079611,76213865,76293405,76362028,76680076,76763615,77089064,77125991,77371378,77552140,77682416,77706333,78054863,78104256,78192130,78199458,78650338,78702348,78752571,78799415,79440168,79528703,79623630,80050731,80074116,80386716,80396236,80698911,81379632,81524903,81597992,81714079,82305618,82408271,83027391,83414071,83930811,83945058,84317631,84448522,84931872,85090623,85107340,85239271,85515103,85734123,85780891,86088748,86254824,86400978,86696338,86699125,86725197,86862270,86959319,87019323,87222898,87312802,87368092,87392718,87661023,87867288,87957130,88139116,88282354,88325098,88814571,89370189,89582523,89710431,89772283,90092651,90124396,90284117,90419999,90767020,91346668,91456638,91552086,91797741,92116338,92288615,92653088,92886465,92964731,93062568,93121714,93424012,93521290,93614218,93776578,93830556,94297096,94536940,94559298,94640194,95314623,95548356,96455211,96478498,96904978,96975815,97036677,97106698,97405471,97720251,98634479,98708002,98850699,98979215,99050092,99078896,99287771,99297772,99828059,...,5854117646727456072272226042668854902192426189769932603573205548063206162166031056599498650247161936273684896437291482750972824789289265457663814967046031591422742972309008652661479630635329975553722968830958621624647357013534938321480015239326830446116696020167092672485380017916704046518058364107938025009106921599010319127851499378788347623638181472800774720038518267305534902801035647074825384786530472470485077449492238212070484816073434175528595433385161080076641967306533480820947456311263672400585646825773972696429372686312864620322421426111694049823113856472825676111812695861580100835655090262464759818154752987148963228931107012903149408289457708533097064808933671247989478095594197947647545205044870230513396637220781784434103906651625503370004450136308363378984106118703605314444730226138381851922844629897411238535931817340958941444201296746681008875494129435942100826123432972533981331657147660036470120527215815393562729576787946422001844249352573160024688441596379880076565214440710418369266105353506585775188481466409853993830236010159339428569898912597057909968675533603399777669114934196014320751402447260868277066224684078691645313234769401379047156501890352830379354516501415598177497113588722686859900381882240797872770728794968027462488235249059375254407037763935188786576535505849965223923203125596014163258050793501204798039322972653604344298902822524452657861848357636022834162751176195390388445561372447230168492421856088720349765482385430932054798049465517211930629128975646978451536592133696821598040231351152101065558812638558076858980940624227813312790904712628461418073605162130444282088989287284781889610933015325409285126931588305495305479282692200323740089019604494364191626066783437358256760679698003632151201408837444227499610302317466595076338629576894761646829068248688809153360450800934590533685168765292423039226314135577354855625814859677807523662296476564494250305407106656352247401155264712167703602505018355999872193647769502978704143814298640075713382560225291854753158053797744747216486274342136889174997974594554206440652277908433042681911893868021123071068234751533500629613202650635284241509462601964649752740623288329676817089275623295855447426160768249043340339506497715791086571229744490655611830518492387666828335678438838181054549197461612022295427187973695446132205044923677317906922370383977902808873003402409853880961238016612571376258395017200266334681105162424125334872098703079898250995817191623065250234822849466025066143108329947025427432803728712035256921141344451474495489718467087793529284561663748385960591466309977499994943334648935536464531535587664729307717238991209068901659697387818463969551196550150793067316120377002266305616140613888114599187547998884844910406502562072003985664458567854816224101049687043257411766636212695095525488197175863371569911835312707065892623779945489881371061012381239900819367702152533296843044401237225501768305849696954462895817141166448698015381918827490772244321247599134431369532282607401176555406387897250420027300878406742188740652417893155230060017802280260724675619246058473617946094955657766966250276920670397358657334490101692996133464449477873321791963887280470059789313031129769488033690009533955920881977655838982367772925000571017593642084330199947075290043470554408142960626364251519589520061411329612774355317472075793062323013476916827731085126134098882873968433660604784469966158663940399603127631467200466263623914218235298828361885652539690093380240213223886017877538823992688077016600844956399943732642762086769701525689366739861116408661093109883854134222675828911870291778751631191457231473768559935568185415628344390566288346989879346824631656967781645426316137103055857510960424236671226433257279338222065469737414755940246681887929562827303515770598956186322603921298448503959387}
23962 635476829235329048356661483140993919457040372324786077853772814962378229656884: {119785,143742,1267177,1483598,1981957,2056862,2124697,2775764,2915678,3121861,3201662,3487502,3548137,3922388,4115497,4495268,4914542,5640164,6053582,6783908,6935017,7545764,8333977,8473477,8497364,8989784,9174062,9447961,9456878,9638228,10113507,10141861,11432558,11557707,11799877,12106148,12485348,12839438,13173637,13243364,13273935,13401182,13759175,13857817,14158864,14947028,14948761,15003483,15422595,15642398,15851672,15864927,15899557,15921902,15928722,16450768,16511010,17317262,17611744,17655961,17833131,17874398,17925097,18157988,18507114,18709022,18723668,19813212,19819838,19934437,20042468,20334361,20587371,21589827,21662761,21758222,21862095,22277899,22373615,22675364,22862702,23319568,23378917,24006435,24297961,24467091,24508775,24952261,25213477,25343977,25489364,25606864,25676708,25702175,26105624,26234514,26255461,26599587,26612948,26848338,27050127,27163417,27809797,28308007,28807722,29097157,29195331,29368827,29410530,29603427,29866117,30842610,31282148,31355187,31371232,31666175,31782104,31825570,31849499,32157758,32663461,32898784,32958164,32969918,33294361,33546217,33888164,34050782,34309415,34500687,34711935,34801177,34859918,35129342,35176261,35242175,35292636,35754867,36048937,36173317,36329923,36474302,36606507,37011132,37026064,37414868,37785428,37803291,37999410,38147615,38190684,38351198,38522857,38526164,39451364,39524883,39605307,39636308,39865714,40440010,40532704,41171298,41332261,41603667,41654322,41695897,41818142,42222164,42247203,42290610,42349358,42541861,42903337,43328468,43350643,43579175,43806867,44468462,45109984,45296617,45390435,45465100,45534361,45599292,45777138,45788222,45890437,46127461,46718761,46757735,46824164,47149175,47629838,47905858,48084531,48416464,48528012,48654815,49013450,49386831,49528175,50674388,50748732,50807461,50974424,51614617,51729637,51899890,52295010,52410507,52532761,52592942,52875877,54468517,54468522,54558120,54875108,54963987,55146757,55466072,55781344,55851963,55934761,56109282,56150228,56579010,56951020,57277417,57346227,57787364,58166761,58195328,58385778,58531358,58816140,58877348,58940615,59339315,59433810,59602117,59812238,60328868,60350944,60369961,60438259,61014147,61134277,61377885,61597268,61778915,61786597,61929490,62226483,62279868,62395827,62399331,62737216,62754012,62868037,63000215,63244595,63298597,63396064,63620761,64009347,64369957,64393598,64455603,64476697,64543695,65469744,65538584,65657918,65869295,66280261,66491077,66561011,66596377,66654872,67452931,67894812,67966431,67972114,68167237,68341224,68436940,68583397,68788095,68846608,69510147,69648095,70133737,70252628,70579368,70611668,70679198,70728738,70890531,71207178,71320572,71329364,71398243,72162627,73185817,73340504,73373968,73653462,73730907,73912142,74134698,74142700,74315388,74407358,74985961,74986731,75146595,75472971,75600258,75893514,75975961,76032143,76271557,76517348,76797487,76883877,76911567,77154457,77452434,77513315,78419461,78896024,79043154,79327838,79368164,79401789,79672297,79816718,79863961,80055337,80156368,80627737,80968148,81007897,81036398,81071452,81358600,81429747,81855908,82124328,82495262,82508067,82509959,82545714,82750175,82807647,83027283,83171461,83288015,83577714,83822377,83903699,84691364,84770450,85156382,85575764,85936261,86209177,86282708,86340370,86390761,86635988,86694034,87165668,87474217,87800078,87994115,88470700,88518062,88535027,88758027,88813957,88864287,88971240,89361267,89362707,89682659,89698117,89848775,90137497,90175914,90575077,91081131,91170987,91271461,91377038,91528425,91568468,91963237,92389869,92396899,93015978,93247897,93507662,93516787,93674708,93841861,94215278,94851877,94902656,95305371,95452535,95476184,95519461,95850095,95861342,96301028,96361330,96564638,96597843,96940175,97103020,97413097,97630320,97981861,98377935,98385961,99132302,99150623,99263787,99300210,99443108,99945618,...,7805490195636608096362968056891806536256568253026576804764274064084274882888041408799331533662882581698246528583055310334630433052385687276885086622728042121896990629745344870215306174180439967404963958441278162166196476018046584428640020319102440594822261360222790229980506690555605395357411152143917366678809228798680425503801999171717796831517575297067699626718024356407379870401380862766433846382040629960646769932656317616093979754764578900704793911180214773435522623075377974427929941748351563200780862434365296928572496915083819493763228568148925399764151808630434234815750261148773467780873453683286346424206337316198617638574809350537532544385943611377462753078578228330652637460792263930196726940059826974017862182961042379245471875535500671160005933515077817838645474824938140419259640301517842469230459506529881651381242423121278588592268395662241345167325505914589467768164577296711975108876196880048626827369621087191416972769050595229335792332470097546699584588795173173435420285920947224492354807138008781033584641955213138658440314680212452571426531883462743879958234044804533036892153245594685761001869929681157702754966245438255527084313025868505396208669187137107172472688668554130903329484784963582479867175842987730497027638393290703283317646998745833672542717018580251715435380674466620298564270834128018884344067724668273064052430630204805792398537096699270210482464476848030445550334901593853851260748496596306891323229141451627133020643180574576073064065954022949240838838634195971268715456178262428797386975134869468087411750184744102478641254165637084417054539616837948557431473549507259042785319049713042519481244020433879046835908784407327073972376922933764986785359472659152255501422377916477675680906264004842868268545116592303332813736423288793435118172769193015529105424331585078871147267734579454044913558353723230718968418847436473140834419812903743364883061968752659000407209475541802996534873686282890271470006691141333162924863692670638272191752398186767617843413633722473004210738396992996288648365789515852233330632792738941920869703877910723575882525157361497428090979668711334172817603534180378988679283469286199670320831051106235756119034164394473929901547690998724453786008663621054782094972992654207482440691323183555771114237918450908072732263282149363060569583964927261509606726564903090542563160511970537078497337869879805174614984022150095168344526689600355112908140216565500446496131604106531001327756255497420333646430465954700088190811106596033903243738304949380342561521792601965993986291289450391372379415551664514614121955079969999993257779531914048619375380783552972410289651988278758535546263183757951959401595400201057423088160502669688407488187485184152798916730665179793213875336749429338647552611423806421632134732916057676549022181616926794033984262901151162093215780416942754523498373260653175161414683174986534425823602870044395790725868316300669024407799595939283861089521555264930687175891769987696325761663465512575159376376809868235407208517196333893369734504542322918320869890524206973413357069707014299567492328077964823928126607543689288333702560893863144876445986802257328177952599303831095722618516373960079719084041506359317378253346045274561175970207785309823697233334094690124856112440266596100386724627405877523947501819002026119360081881772817032473756629434390749764017969222436974780168178798510498624578214139712626621544885253866137503508622933955018165218957647065104482514203386253457840320284298514690503385098656917436022134459941866591643523682782359602034252488986481488544881457479845138845630234438549160389038335508255276308631691413247424247220837792520755051129319839129099508875957042193901754849470741143347947232315561635244343039117629420626316553007920328909183906083769738021027465274915096805228397931338612516}
23963 637709085717506593713927822494008469715266369229265385350480579160590520505791: {191656,215613,2225397,3085293,3469705,4163646,4373517,4802493,4902985,5231253,5619085,5883582,6054037,6742902,6915481,7050205,7371813,7866061,8460246,8479885,9080373,9432205,10175862,10621705,10783861,11237230,11308957,11318646,11791081,11820926,12047785,12389006,12652093,12743497,12746046,13484676,13761093,13870213,13933117,14185317,14394422,14457342,15038761,15132685,15410276,15506557,15606685,15948637,16554205,17047117,17148837,17698580,18159222,18683785,18728022,19095301,19174837,19259157,19277102,19814590,19865046,20004644,20101773,20404622,20563460,20745637,21153236,21238296,21527593,21565918,21792397,22014680,22040317,22406006,22420542,22536757,22697485,22842421,23002382,23404585,23463597,23777508,23882853,23893083,23958661,24676152,24766515,25053085,25828333,25975893,26417616,26811597,27198181,27236982,27449828,27760671,27809341,28063533,28085502,28167158,28344205,28408777,28786436,29118253,29149460,29626393,29719818,29729757,30063702,31861705,31894606,32008580,32095885,32204677,32397806,32557981,32622788,32632030,32637333,33266185,33502237,34013046,34294053,34979352,35466116,35797784,36066836,36095641,36410077,36788293,37298998,37884782,38234046,38410296,38515062,38927108,38978077,39050966,39102685,39158436,39214040,39233197,39351771,39471236,39533461,39727630,39919422,40272507,40563757,41123480,41197705,41525581,41806916,42098677,42231337,42360205,42364406,42410953,42653677,43211583,43663717,44115795,44602621,45543013,45783193,45933878,46000916,46102537,46263915,46282580,46768585,46809037,46814953,46923222,47056848,47231785,47673156,47738355,48157705,48236637,48247333,48532813,48808676,49026926,49314205,49348176,49437246,49454877,49545385,49921861,50404388,50665880,50832246,50920912,51076173,51165157,51425221,51867337,51995317,52289877,52694013,52699844,52726621,52777705,52807076,52938954,54160585,54711453,54810542,54895064,55102861,55471556,55516698,55539096,56122302,56329604,56387480,56678142,56831375,56999115,57286026,57346261,57526797,57629422,57789246,58323013,58409156,58530205,58653013,59177046,59270557,59454462,59744317,59798571,60240782,60520580,60660015,60791797,60799056,60831433,61036184,61756947,61926373,62481483,62727213,63333246,63342985,63435915,63492841,63524037,63682742,63718030,64112708,64172941,64202222,64704016,64807606,64992702,65402606,65849108,66155461,66212606,66702693,67014313,67664976,68197650,68398938,68532277,68593885,68646358,68665707,68682333,69034021,69332590,69557773,69726680,69806857,69880676,69916393,70136822,70187785,70236246,71183197,71188775,71444757,71772382,71858787,72234205,72322981,72624696,72744160,72792018,73167061,73285316,73404046,73520175,73596685,73681597,73935181,74469284,74614861,74812376,75411085,75438680,76011582,76091797,76123098,76461636,76996585,77847704,77849835,77933593,78019678,78421520,78442515,78889413,79245080,80281198,80336101,80985853,81352196,81693406,81702783,81837180,81923230,82312662,82619197,82968644,83039824,83194436,83199108,83318590,83437957,83541661,83672016,84163923,84225342,84868515,85345796,85426530,85546175,85940804,86058260,86199637,86462857,86681046,86966617,87292992,87578667,87797037,87815785,88224210,88264585,88316022,88885021,89150715,89161705,89718357,90272558,90493302,90526416,90611917,90621908,91121632,91201237,91232701,91312093,91531621,91558702,91634917,91675630,91717460,91819406,92006542,92395902,92678375,92680196,92894235,92972533,93168757,93419802,93784502,94105824,94131018,94299421,94304984,94520708,94568893,94942904,95094096,95646685,96023221,96216836,96590397,96655861,97391593,97824037,97935901,98204616,98307876,98486877,98620030,98716286,98846264,99087184,99210205,99562153,99668341,99780397,99836437,99982308,...,11708235293454912144544452085337709804384852379539865207146411096126412324332062113198997300494323872547369792874582965501945649578578530915327629934092063182845485944618017305322959261270659951107445937661917243249294714027069876642960030478653660892233392040334185344970760035833408093036116728215876050018213843198020638255702998757576695247276362945601549440077036534611069805602071294149650769573060944940970154898984476424140969632146868351057190866770322160153283934613066961641894912622527344801171293651547945392858745372625729240644842852223388099646227712945651352223625391723160201671310180524929519636309505974297926457862214025806298816578915417066194129617867342495978956191188395895295090410089740461026793274441563568868207813303251006740008900272616726757968212237407210628889460452276763703845689259794822477071863634681917882888402593493362017750988258871884201652246865945067962663314295320072940241054431630787125459153575892844003688498705146320049376883192759760153130428881420836738532210707013171550376962932819707987660472020318678857139797825194115819937351067206799555338229868392028641502804894521736554132449368157383290626469538802758094313003780705660758709033002831196354994227177445373719800763764481595745541457589936054924976470498118750508814075527870377573153071011699930447846406251192028326516101587002409596078645945307208688597805645048905315723696715272045668325502352390780776891122744894460336984843712177440699530964770861864109596098931034423861258257951293956903073184267393643196080462702304202131117625277116153717961881248455626625581809425256922836147210324260888564177978574569563779221866030650818570253863176610990610958565384400647480178039208988728383252133566874716513521359396007264302402817674888454999220604634933190152677259153789523293658136497377618306720901601869181067370337530584846078452628271154709711251629719355615047324592953128988500610814213312704494802310529424335407205010036711999744387295539005957408287628597280151426765120450583709506316107595489494432972548684273778349995949189108412881304555816866085363823787736042246142136469503067001259226405301270568483018925203929299505481246576659353634178551246591710894852321536498086680679012995431582173142459488981311223661036984775333656671356877676362109098394923224044590854375947390892264410089847354635813844740767955805617746006804819707761922476033225142752516790034400532669362210324848250669744197406159796501991634383246130500469645698932050132286216659894050854865607457424070513842282688902948990979436934175587058569123327496771921182932619954999989886669297871072929063071175329458615434477982418137803319394775636927939102393100301586134632240754004532611232281227776229198375095997769689820813005124144007971328917135709632448202099374086514823533272425390191050976394351726743139823670625414131785247559890979762742122024762479801638735404305066593686088802474451003536611699393908925791634282332897396030763837654981544488642495198268862739064565214802353110812775794500840054601756813484377481304835786310460120035604560521449351238492116947235892189911315533932500553841340794717314668980203385992266928898955746643583927774560940119578626062259538976067380019067911841763955311677964735545850001142035187284168660399894150580086941108816285921252728503039179040122822659225548710634944151586124646026953833655462170252268197765747936867321209568939932317327880799206255262934400932527247828436470597656723771305079380186760480426447772035755077647985376154033201689912799887465285524173539403051378733479722232817322186219767708268445351657823740583557503262382914462947537119871136370831256688781132576693979758693649263313935563290852632274206111715021920848473342452866514558676444130939474829511880493363775859125654607031541197912372645207842596897007918774}
23964 639949132795434278681009829689107972353870267927095723844992818168354375515591: {167699,239570,287484,1124099,1267283,1696403,2534354,2552699,2967196,3122123,3264299,3595763,3879563,3963914,4113724,4249394,4540643,4682099,5011883,5294243,5551528,5831356,6243722,6245469,6403324,6561299,6935603,6975004,7096274,7822523,7844776,7962299,8230994,8825373,8990536,9031523,9356099,9448763,9829084,10114353,10188923,10973099,11280328,11525243,12107164,12690369,12809099,13567816,13859003,13870034,14177699,14723123,14995403,15091528,15222083,15263793,15674843,16667954,16855845,16946954,16977969,16994728,17657483,17731389,17979568,18348124,18464099,18583509,18895922,18913756,19000403,19119069,19262845,19276456,20227014,20247299,20283722,20380523,20912699,21001283,21576299,21591633,21686013,21797099,21929483,22123225,22326203,22766243,22865116,23115414,23424803,23599754,24212296,24343763,24867299,24970696,24998003,25005805,25215683,25678876,25704325,26301083,26347274,26441545,26486728,26547870,26802364,26906723,27036299,27238833,27518350,27596963,27715634,27812243,28092033,28113299,28317728,28915653,29721885,29797569,29894056,29897522,29911403,30006966,30039299,30606933,30845190,31284796,31323061,31703344,31729854,31799114,31843804,31857444,32075843,32286923,32348877,32708483,32901536,33022020,33297323,33339323,33609009,33630813,33926483,34177643,34312285,34344923,34503573,34634524,35096099,35223488,35311922,35429123,35666262,35720099,35748796,35850194,35983045,36218003,36315976,36436825,36962699,37014228,37418044,37447336,37640317,37704803,39626424,39639676,39868874,40010725,40084936,40119083,40525523,40668722,40778485,40855473,41174742,41336003,41376443,41941763,42128253,42183563,42250737,42585923,42947363,43179654,43325522,43388243,43516444,43668299,43724190,43987883,44332645,44466299,44555798,44579727,44747230,44983283,45083545,45095553,45350728,45578123,45725404,46171163,46639136,46757834,46762403,47116283,47841909,48012870,48017699,48033181,48134963,48595922,48596709,48603299,48658885,48875963,48934182,48948045,49017550,49339045,49458923,49904522,50426954,50687954,50735099,50812163,50978728,51019569,51213728,51312299,51353416,51404350,52211248,52258645,52469028,52510922,52537643,52652099,53147243,53199174,53223299,53225896,53406661,53696676,54100254,54246923,54326834,54737699,55619594,55865099,55948497,56426099,56616014,56827173,57171299,57351069,57501145,57615444,57772593,57853225,58194314,58390662,58393883,58576449,58737654,58821060,58836299,59206854,59277563,59591445,59732234,59879133,60047003,60302699,61010845,61031099,61140083,61685220,62045483,62225963,62564296,62710374,62742464,62909963,63005485,63332350,63546609,63564208,63651140,63698998,63984083,64091099,64315516,65326922,65460829,65797568,65874805,65916328,65939836,66008845,66286643,66588722,66743099,66813203,67092434,67442699,67686803,67776328,68101564,68116741,68208563,68590043,68618830,68900817,69001374,69339445,69419003,69423870,69602354,69719836,70140563,70258684,70352522,70384833,70412005,70484350,70585272,70892699,71509734,72097874,72182723,72346634,72587699,72659846,72823403,72948604,73011445,73213014,73427699,73540389,73595099,73695443,73829123,73929299,74022264,74052128,74155869,74595299,74829736,75522323,75570856,75606582,75650725,75998820,76248369,76295230,76381368,76672283,76702396,76966403,77045714,77052328,77390099,77455163,77650163,78524099,78663013,78902728,78942803,79049766,79210614,79272616,79328099,79408431,79731428,79871963,79903883,80140885,80286299,80667563,80880020,81016043,81065408,81615683,82215813,82311385,82342596,82516861,82664522,83024363,83075041,83179883,83207334,83275047,83308644,83391794,83636284,84183453,84293723,84444328,84494406,84581220,84698716,84977101,85017213,85083722,85806674,85929039,86399603,86429843,86444133,86490481,86656936,86683869,86701286,86942699,87032963,87158350,87303323,87350845,87483203,87613734,87692699,87842099,87931643,88200301,88289099,88497083,88542433,88765569,88823123,88936924,88941443,89181693,89690161,89856169,90000563,90219968,90361173,90409643,90593234,90780870,90930200,91020323,91068722,91198584,91280963,91554276,91576444,91606645,91742723,91780874,92001563,92217013,92254922,93086605,93087299,93437522,93515470,93648328,93879923,94133363,94298350,94999869,95259676,95524113,95529563,95577045,95811716,96169062,96303333,96832928,97056024,97124099,97178603,97211409,97309630,97489053,97507333,98019323,98026900,98103909,98557643,98773662,98959283,99056350,99158917,99318909,99545099,99995123,...,17562352940182368216816678128006564706577278569309797810719616644189618486498093169798495950741485808821054689311874448252918474367867796372991444901138094774268228916927025957984438891905989926661168906492875864873942071040604814964440045717980491338350088060501278017456140053750112139554175092323814075027320764797030957383554498136365042870914544418402324160115554801916604708403106941224476154359591417411455232348476714636211454448220302526585786300155483240229925901919600442462842368933791017201756940477321918089288118058938593860967264278335082149469341569418477028335438087584740302506965270787394279454464258961446889686793321038709448224868373125599291194426801013743968434286782593842942635615134610691540189911662345353302311719954876510110013350408925090136952318356110815943334190678415145555768533889692233715607795452022876824332603890240043026626482388307826302478370298917601943994971442980109410361581647446180688188730363839266005532748057719480074065324789139640229695643322131255107798316060519757325565444399229561981490708030478018285709696737791173729906026600810199333007344802588042962254207341782604831198674052236074935939704308204137141469505671058491138063549504246794532491340766168060579701145646722393618312186384904082387464705747178125763221113291805566359729606517549895671769609376788042489774152380503614394117968917960813032896708467573357973585545072908068502488253528586171165336684117341690505477265568266161049296447156292796164394148396551635791887386926940935354609776401090464794120694053456303196676437915674230576942821872683439938372714137885384254220815486391332846266967861854345668832799045976227855380794764916485916437848076600971220267058813483092574878200350312074770282039094010896453604226512332682498830906952399785229015888730684284940487204746066427460081352402803771601055506295877269117678942406732064566877444579033422570986889429693482750916221319969056742203465794136503110807515055067999616580943308508936112431442895920227140147680675875564259474161393234241649458823026410667524993923783662619321956833725299128045735681604063369213204704254600501888839607951905852724528387805893949258221869864989030451267826869887566342278482304747130021018519493147373259713689233471966835491555477163000485007035316514543163647592384836066886281563921086338396615134771031953720767111151933708426619010207229561642883714049837714128775185051600799004043315487272376004616296109239694752987451574869195750704468548398075198429324989841076282298411186136105770763424033354423486469155401263380587853684991245157881774398929932499984830003946806609393594606762994187923151716973627206704979092163455391908653589650452379201948361131006798916848421841664343797562643996654534731219507686216011956993375703564448672303149061129772235299908638085286576464591527590114709735505938121197677871339836469644113183037143719702458103106457599890529133203711676505304917549090863388687451423499346094046145756482472316732963742797403294108596847822203529666219163691751260081902635220226566221957253679465690180053406840782174026857738175420853838284866973300898750830762011192075972003470305078988400393348433619965375891661841410179367939093389308464101070028601867762645932967516947103318775001713052780926252990599841225870130411663224428881879092754558768560184233988838323065952416227379186969040430750483193255378402296648621905300981814353409898475991821198809382894401601398790871742654705896485085656957619070280140720639671658053632616471978064231049802534869199831197928286260309104577068100219583349225983279329651562402668027486735610875336254893574371694421305679806704556246885033171698865040969638040473894970903344936278948411309167572532881272710013679299771838014666196409212244267820740045663788688481910547311796868558967811763895345511878161}
23965 642196997482367334082214933445745240587747597905734910359670525694639943551270: {359355,383312,431226,3708995,3801531,4450794,4857587,5142155,5945871,6170586,6374091,6864179,6939410,7154771,7289195,7729067,7866719,8004155,8327292,8718755,8747034,9365583,9604986,9734219,9805970,9870287,10462506,10644411,11238170,11309903,11767164,11871839,12108074,12286355,12346491,12604259,12744563,13178267,13205087,13365131,13485804,13830962,14100410,14743626,14870387,15040019,15133955,15732122,16032203,16466411,16808027,16866899,16920492,16959770,17048543,17604719,18160746,18325931,18864410,20351724,20805051,21185759,21243410,21341807,21567722,21849359,22474460,22617914,22637292,22661171,22935155,23175887,23582162,23636111,23641852,23642195,24060251,24095570,24517571,24770819,24778012,25001931,25304186,25420431,25455419,25486994,25492092,25643627,25754651,26157299,26777327,26969352,27522186,27740426,27866234,28343883,28370634,28581395,28788844,28914684,29794571,30077522,30265370,30340521,30368003,30397967,30425583,30820552,31013114,31213370,31776479,31897274,32056067,32098595,32766419,33108410,33111851,33286319,33502955,34094234,34297674,34673121,34803359,35074319,35397160,35399631,36236579,36318444,37367570,37456044,38190602,38349674,38518314,38554204,39105995,39520911,39629180,39681887,39730092,39804755,39821805,40009288,40076051,40203546,40342187,40809244,41126920,41277525,41491274,41573451,42306472,42476592,43030091,43055186,43131836,43293155,43584794,44029360,44080634,44152271,44606387,44685995,44812012,44841084,44846283,44934239,45010449,45073514,45143843,45394970,45684842,46004764,46267785,46377467,46572659,46721363,46772555,46809170,46927194,47332043,47555016,47594781,47698671,47765706,47786166,47917322,49352304,49533030,49549595,50106170,50408891,50444603,51169451,51656666,51951786,52106027,52835232,52967883,53499393,53623194,53775291,54395555,54396362,54397451,54473964,54656387,54743759,54899656,55107503,55319771,55521342,55618682,56127066,56171004,56334316,56688410,56817554,57156755,57475247,57572872,57676787,58236506,58298920,58998563,59252786,59304287,59439636,59459514,59749331,59803311,60127404,61003083,61449011,61762113,62672339,63723410,63789212,64017160,64191770,64409354,64769481,64795612,64988283,65115962,65121563,65245576,65264060,65274666,65476019,65535179,65586285,66124499,66532370,66833697,67004474,67120845,67420787,68026092,68398019,68588106,69039887,69363539,69958704,70136751,70932232,70962587,71189171,71595568,71844851,72019305,72133672,72143819,72191282,72820154,72893883,73131059,73401273,73526325,73576586,73687823,73888787,74597996,74621123,74856783,75317147,75640431,75769564,75824819,76031931,76092383,76468092,76820592,77030124,77106525,77854216,77956154,78101932,78141851,78205370,78316872,78428080,78466394,78703542,78766383,78942472,79034159,79066922,79455260,79563925,79798761,79838844,80394395,80545014,80831567,80992691,81127514,81150381,81490251,81942287,82246960,82395410,82424795,83051162,83429391,83613832,84197354,84462674,84720410,84728812,84821906,84924021,85126955,85307354,85529459,86011343,86423166,86470163,87078251,87102251,87149795,87291471,87327434,87585993,87823355,88106481,88231590,88680179,88810281,89041499,89205242,89598351,89787407,91086026,91185755,91208891,91566386,91867756,92001832,92205074,92338067,92527830,92565160,93537170,93618074,93629906,93846444,94065561,94113696,94463570,94759979,94998525,95346312,95476710,95548497,95877995,96031439,96062027,96315410,96473274,96494666,96752843,97065626,97617352,97990383,98053852,98262899,98628410,98696352,98874492,98909754,98917043,99090770,99664285,99788771,99843722,99883083,...,23416470586909824289088904170675419608769704759079730414292822192252824648664124226397994600988647745094739585749165931003891299157157061830655259868184126365690971889236034610645918522541319902214891875323834486498589428054139753285920060957307321784466784080668370689941520071666816186072233456431752100036427686396041276511405997515153390494552725891203098880154073069222139611204142588299301539146121889881940309797968952848281939264293736702114381733540644320306567869226133923283789825245054689602342587303095890785717490745251458481289685704446776199292455425891302704447250783446320403342620361049859039272619011948595852915724428051612597633157830834132388259235734684991957912382376791790590180820179480922053586548883127137736415626606502013480017800545233453515936424474814421257778920904553527407691378519589644954143727269363835765776805186986724035501976517743768403304493731890135925326628590640145880482108863261574250918307151785688007376997410292640098753766385519520306260857762841673477064421414026343100753925865639415975320944040637357714279595650388231639874702134413599110676459736784057283005609789043473108264898736314766581252939077605516188626007561411321517418066005662392709988454354890747439601527528963191491082915179872109849952940996237501017628151055740755146306142023399860895692812502384056653032203174004819192157291890614417377195611290097810631447393430544091336651004704781561553782245489788920673969687424354881399061929541723728219192197862068847722516515902587913806146368534787286392160925404608404262235250554232307435923762496911253251163618850513845672294420648521777128355957149139127558443732061301637140507726353221981221917130768801294960356078417977456766504267133749433027042718792014528604805635349776909998441209269866380305354518307579046587316272994755236613441803203738362134740675061169692156905256542309419422503259438711230094649185906257977001221628426625408989604621058848670814410020073423999488774591078011914816575257194560302853530240901167419012632215190978988865945097368547556699991898378216825762609111633732170727647575472084492284272939006134002518452810602541136966037850407858599010962493153318707268357102493183421789704643072996173361358025990863164346284918977962622447322073969550667313342713755352724218196789846448089181708751894781784528820179694709271627689481535911611235492013609639415523844952066450285505033580068801065338724420649696501339488394812319593003983268766492261000939291397864100264572433319788101709731214914848141027684565377805897981958873868351174117138246654993543842365865239909999979773338595742145858126142350658917230868955964836275606638789551273855878204786200603172269264481508009065222464562455552458396750191995539379641626010248288015942657834271419264896404198748173029647066544850780382101952788703453486279647341250828263570495119781959525484244049524959603277470808610133187372177604948902007073223398787817851583268564665794792061527675309963088977284990396537725478129130429604706221625551589001680109203513626968754962609671572620920240071209121042898702476984233894471784379822631067865001107682681589434629337960406771984533857797911493287167855549121880239157252124519077952134760038135823683527910623355929471091700002284070374568337320799788301160173882217632571842505457006078358080245645318451097421269888303172249292053907667310924340504536395531495873734642419137879864634655761598412510525868801865054495656872941195313447542610158760373520960852895544071510155295970752308066403379825599774930571048347078806102757466959444465634644372439535416536890703315647481167115006524765828925895074239742272741662513377562265153387959517387298526627871126581705264548412223430043841696946684905733029117352888261878949659023760986727551718251309214063082395824745290415685193794015837548}
23966 644452706884620427410660630469562405217639941586684033166940271835306788319371: {335398,479140,574968,646839,885373,1601233,1744189,1887073,2248198,2315293,2534566,2600413,3311953,3392806,4588189,4729633,5068708,5105398,5294689,5934392,6244246,6528598,6561853,6676191,7191526,7759126,7927828,7962973,8227448,8498788,8660833,8800189,9081286,9255879,9364198,9634813,10023766,10409115,10588486,10743613,11103056,11662712,12487444,12490938,12806648,13120551,13122598,13871206,13950008,14192548,14407479,14708955,15645046,15676189,15689552,15693759,15924598,16461988,16857255,17164753,17569213,17650746,17838493,17981072,18063046,18162111,18712198,18897526,19046689,19658168,20228706,20377846,20746443,20914513,21150615,21578173,21946198,22115439,22560656,23050486,23598183,24214328,25380738,25439655,25618198,26967983,27135632,27241119,27718006,27740068,28093075,28296615,28355398,28373533,29401693,29446246,29552315,29990806,30041953,30183056,30444166,30527586,30972515,31349686,31571233,31865115,32078689,32351583,33335908,33342289,33711690,33893908,33926871,33955938,33989456,35008127,35314966,35373243,35462778,35723293,35959136,35986055,36143355,36696248,36928198,37018163,37089889,37167018,37708189,37791844,37827512,37956279,38000806,38230491,38238138,38525690,38552912,39429853,40454028,40494598,40567444,40761046,41283279,41380189,41610639,41799351,41825398,42002566,42555951,43152598,43183266,43372026,43594198,43858966,44246450,44484011,44510173,44652406,45116283,45398055,45532486,45730232,46230828,46519671,46820055,46849606,47199508,47473873,47845911,48037199,48192755,48424592,48646753,48687526,49536475,49662615,49696189,49734598,49941392,49996006,50011610,50376263,50431366,51011555,51141351,51317053,51357752,51408650,51446511,51547453,52466173,52602166,52694548,52883090,52973456,53038033,53095740,53152189,53604728,53813446,53914795,54072598,54477666,55036700,55193926,55431268,55624486,56015015,56051355,56184066,56226598,56431393,56635456,57089879,57102289,57213853,57285903,57505955,57524511,57770593,57777471,57831306,59209693,59319889,59443770,59595138,59788112,59795044,59822806,60013932,60078598,60305319,61213866,61690380,62051389,62065703,62236911,62569592,62646122,63116963,63238993,63406688,63459708,63561373,63598228,63687608,63714888,64097233,64151686,64311073,64573846,64582779,64697754,64844413,65377191,65416966,65803072,66044040,66120951,66594646,66678646,66749533,67218018,67261626,67484113,67610271,67852966,68092455,68122439,68355286,68527263,68624570,68689846,69007146,69074663,69269048,69460189,70192198,70213755,70390791,70417895,70446976,70489789,70623844,70858246,70899613,71332524,71440198,71497592,71648559,71679249,71700388,71875983,71966090,72436006,72628513,72631952,72873650,73162103,73434913,73535389,73925398,74028456,74036689,74299545,74836088,74894672,74934493,75159255,75280634,75409606,75529789,76516189,77006689,77484999,77495389,77885053,77927679,78564193,78950689,79252848,79279352,79736515,79737748,79911889,80021450,80169872,80238166,80434791,80501603,80994515,81051046,81337444,81434833,81556970,81580075,81594543,81710946,82283389,82349484,82672006,82752886,83282013,83428023,83883526,84190599,84256506,84367126,84501474,85032615,85171846,85226331,85415183,85436413,85527889,85894726,86359308,86438689,86651044,86776486,87032888,87336598,87342289,87354759,87448380,87880993,87975766,88207679,88327933,88665290,88879179,88932598,89111596,89159454,89189271,89494460,89922013,89966566,90167090,90191106,90701456,90971773,91156246,91406113,91450808,91752289,92224727,92342326,92412383,92965379,93247495,93278272,93515668,93524806,94227613,94232566,94648273,94711955,94732189,94974407,95585115,95683818,96025740,96035398,96066362,96269926,96287655,96312913,96614031,97075223,97191844,97193418,97206598,97297873,97317770,97627415,97673943,97705213,97751926,97868364,97896090,97911999,98035100,98576807,98678090,98917846,99319075,99798555,99809044,...,35124705880364736433633356256013129413154557138619595621439233288379236972996186339596991901482971617642109378623748896505836948735735592745982889802276189548536457833854051915968877783811979853322337812985751729747884142081209629928880091435960982676700176121002556034912280107500224279108350184647628150054641529594061914767108996272730085741829088836804648320231109603833209416806213882448952308719182834822910464696953429272422908896440605053171572600310966480459851803839200884925684737867582034403513880954643836178576236117877187721934528556670164298938683138836954056670876175169480605013930541574788558908928517922893779373586642077418896449736746251198582388853602027487936868573565187685885271230269221383080379823324690706604623439909753020220026700817850180273904636712221631886668381356830291111537067779384467431215590904045753648665207780480086053252964776615652604956740597835203887989942885960218820723163294892361376377460727678532011065496115438960148130649578279280459391286644262510215596632121039514651130888798459123962981416060956036571419393475582347459812053201620398666014689605176085924508414683565209662397348104472149871879408616408274282939011342116982276127099008493589064982681532336121159402291293444787236624372769808164774929411494356251526442226583611132719459213035099791343539218753576084979548304761007228788235937835921626065793416935146715947171090145816137004976507057172342330673368234683381010954531136532322098592894312585592328788296793103271583774773853881870709219552802180929588241388106912606393352875831348461153885643745366879876745428275770768508441630972782665692533935723708691337665598091952455710761589529832971832875696153201942440534117626966185149756400700624149540564078188021792907208453024665364997661813904799570458031777461368569880974409492132854920162704805607543202111012591754538235357884813464129133754889158066845141973778859386965501832442639938113484406931588273006221615030110135999233161886617017872224862885791840454280295361351751128518948322786468483298917646052821335049987847567325238643913667450598256091471363208126738426409408509201003777679215903811705449056775611787898516443739729978060902535653739775132684556964609494260042037038986294746519427378466943933670983110954326000970014070633029086327295184769672133772563127842172676793230269542063907441534222303867416853238020414459123285767428099675428257550370103201598008086630974544752009232592218479389505974903149738391501408937096796150396858649979682152564596822372272211541526848066708846972938310802526761175707369982490315763548797859864999969660007893613218787189213525988375846303433947254413409958184326910783817307179300904758403896722262013597833696843683328687595125287993309069462439015372432023913986751407128897344606298122259544470599817276170573152929183055180229419471011876242395355742679672939288226366074287439404916206212915199781058266407423353010609835098181726777374902846998692188092291512964944633465927485594806588217193695644407059332438327383502520163805270440453132443914507358931380360106813681564348053715476350841707676569733946601797501661524022384151944006940610157976800786696867239930751783323682820358735878186778616928202140057203735525291865935033894206637550003426105561852505981199682451740260823326448857763758185509117537120368467977676646131904832454758373938080861500966386510756804593297243810601963628706819796951983642397618765788803202797581743485309411792970171313915238140560281441279343316107265232943956128462099605069738399662395856572520618209154136200439166698451966558659303124805336054973471221750672509787148743388842611359613409112493770066343397730081939276080947789941806689872557896822618335145065762545420027358599543676029332392818424488535641480091327577376963821094623593737117935623527790691023756322}
23967 646716288201886169716733137966228057871395311424246114658712096614094796619011: {503097,598925,718710,766624,862452,3372297,3801849,5089209,5192593,6335885,7199017,7417990,7603062,7658097,8638369,8901588,9366369,9715174,9792897,9909785,10204873,10284310,10623485,10787289,11205817,11504077,11638689,11891742,12206257,12341172,12360953,12748182,13366249,13621929,13728358,13878820,14046297,14087113,14309542,14578390,15035649,15458134,15609305,15733438,15882729,16008310,16654584,16664573,16809433,17200897,17437510,17494068,17740685,18731166,18736407,18947149,19209972,19468438,19611940,19683897,19740574,20107469,20577485,20805577,20806809,20925012,21187537,21288822,21796049,22476340,22619806,23467569,23534328,23743678,23886897,24216148,24572710,24692982,25208518,25489126,26356534,26410174,26476119,26730262,26971608,27094569,27412153,27661924,27685033,28068297,28200820,28346289,28821953,29487252,29740774,30080038,30083677,30267910,30343059,30566769,31464244,31849369,32064406,32109217,32709517,32919297,32932822,33099073,33616054,33733798,33840984,33919540,34097086,34575729,34675085,35209438,35827369,35895233,36321492,36651862,37728820,38004217,38071107,38427297,38984609,39338377,40013953,40703448,40856969,41577009,41610102,41669885,42367385,42371518,42486820,42533097,42683614,43135444,43698718,43700393,44169369,44938033,44948920,44986209,45235828,45274584,45322342,45666249,45791379,45870310,46014833,46351774,46904137,47024529,47164324,47239805,47272222,47283704,47284390,48120502,48191140,49035142,49541638,49556024,49575913,50003862,50567535,50608372,50709305,50840862,50910838,50933907,50973988,50984184,51287254,51509302,51876029,52314598,52735457,52972449,53044913,53194167,53554654,53872333,53938704,54748393,55044372,55392297,55460477,55480852,55726657,55732468,55750527,55937869,56687766,56741268,57001209,57162790,57357207,57577688,57788535,57829368,58425793,58999385,59589142,59616349,60155044,60287933,60530740,60610417,60681042,60736006,60741897,60795934,60851166,61141569,61641104,61936769,62026228,62426740,62560393,62738097,63003849,63552958,63794548,64112134,64197190,64437757,64728897,64774899,65058039,65127049,65391297,65481577,65532838,65788449,65868185,66216820,66223702,66369675,66572638,66978609,67005910,68188468,68298729,68595348,68732017,68795875,69289085,69346242,69369433,69606718,70089833,70148638,70274409,70794320,70799262,71748569,72473158,72636888,73031289,73947593,74601897,74735140,74743805,74912088,74994009,75017415,75647049,76098769,76153777,76265849,76381204,76699348,77036628,77108408,77112975,78211990,78903249,79041822,79258360,79324635,79363774,79460184,79497785,79548797,79609510,79643610,80018576,80019457,80152102,80407092,80511433,80684374,80720169,81108897,81618488,81716499,81734713,82253840,82555050,82790889,82982548,83146902,83436729,84276099,84339897,84612944,84953184,85260877,85536637,86060182,86110372,86263672,86586310,86746959,87085609,87169588,88058720,88161268,88279805,88304542,89165655,89212774,89371990,89392707,89624024,89625485,89682168,89692566,89734209,89868478,90020898,90115553,90117897,90147028,90287686,90789940,90804697,91369684,91650449,91820799,92009528,92535570,92754934,93145318,93442726,93545110,93618340,93854388,93969183,94561373,94664086,95110032,95189562,95397342,95531412,95572332,95834644,96227529,96860769,97046631,98125449,98704608,99066060,99099190,99382417,99672185,99685073,99891969,...,52687058820547104650450034384019694119731835707929393432158849932568855459494279509395487852224457426463164067935623344758755423103603389118974334703414284322804686750781077873953316675717969779983506719478627594621826213121814444893320137153941474015050264181503834052368420161250336418662525276971442225081962294391092872150663494409095128612743633255206972480346664405749814125209320823673428463078774252234365697045430143908634363344660907579757358900466449720689777705758801327388527106801373051605270821431965754267864354176815781582901792835005246448408024708255431085006314262754220907520895812362182838363392776884340669060379963116128344674605119376797873583280403041231905302860347781528827906845403832074620569734987036059906935159864629530330040051226775270410856955068332447830002572035245436667305601669076701146823386356068630472997811670720129079879447164923478907435110896752805831984914328940328231084744942338542064566191091517798016598244173158440222195974367418920689086929966393765323394948181559271976696333197688685944472124091434054857129090213373521189718079802430597999022034407764128886762622025347814493596022156708224807819112924612411424408517013175473414190648512740383597474022298504181739103436940167180854936559154712247162394117241534377289663339875416699079188819552649687015308828130364127469322457141510843182353906753882439098690125402720073920756635218724205507464760585758513496010052352025071516431796704798483147889341468878388493182445189654907375662160780822806063829329203271394382362082160368909590029313747022691730828465618050319815118142413656152762662446459173998538800903585563037006498397137928683566142384294749457749313544229802913660801176440449277724634601050936224310846117282032689360812679536998047496492720857199355687047666192052854821461614238199282380244057208411314803166518887631807353036827220196193700632333737100267712960668289080448252748663959907170226610397382409509332422545165203998849742829925526808337294328687760681420443042027626692778422484179702724948376469079232002574981771350987857965870501175897384137207044812190107639614112763801505666518823855717558173585163417681847774665609594967091353803480609662699026835446914241390063055558479442119779141067700415900506474666431489001455021105949543629490942777154508200658844691763259015189845404313095861162301333455801125279857030621688684928651142149513142386325555154802397012129946461817128013848888327719084258962354724607587252113405645194225595287974969523228846895233558408317312290272100063270459407466203790141763561054973735473645323196789797499954490011840419828180783820288982563769455150920881620114937276490366175725960768951357137605845083393020396750545265524993031392687931989963604193658523058648035870980127110693346016909447183389316705899725914255859729393774582770344129206517814363593033614019509408932339549111431159107374309319372799671587399611135029515914752647272590166062354270498038282138437269447416950198891228392209882325790543466610588998657491075253780245707905660679698665871761038397070540160220522346522080573214526262561514854600919902696252492286033576227916010410915236965201180045300859896127674985524230538103817280167925392303210085805603287937798902550841309956325005139158342778758971799523677610391234989673286645637278263676305680552701966514969197857248682137560907121292251449579766135206889945865715902945443060229695427975463596428148683204804196372615227964117689455256970872857210840422161919014974160897849415934192693149407604607599493593784858780927313731204300658750047677949837988954687208004082460206832626008764680723115083263917039420113668740655099515096595122908914121421684912710034808836845233927502717598643818130041037899315514043998589227636732803462220136991366065445731641935390605676903435291686036535634483}
23968 648987768727554705550070323341522692428165459501875469579792733116993488012735: {263527,670796,958280,1078065,1149936,1293678,1410631,1770746,2125231,3202466,3264847,3488378,3549031,3774146,3974767,4258231,4496396,4630586,5069132,5200826,5389207,6623906,6656047,6785612,8475631,9176378,9450367,9459266,9867031,10137416,10144447,10210796,10589378,11126985,11404593,11868784,11940631,12215887,12488492,13057196,13123706,13314031,13352382,13998031,14383052,14572761,14952607,15088687,15426465,15518252,15768007,15855656,15925946,16454896,16997576,17321666,17348525,17600378,17837613,18162572,18511758,18728396,18735631,19122273,19269626,20047532,20339647,20472847,20592537,20818230,21004927,21176972,21403231,21464313,21487226,21668407,21800887,21867585,22206112,23187201,23325424,23600157,23648047,24012465,24304327,24514925,24958807,24974888,24981876,25089487,25350631,25613296,26156265,26241102,26245196,26262367,26911447,27687967,27742412,27900016,27946231,28095425,28096749,28385096,28590631,28814958,28976407,29202657,29233231,29417910,29610861,30270185,31290092,31352378,31379104,31387518,31849196,31933233,32166007,32923976,33429247,33681031,33714510,33929709,34329506,34577405,34935631,35138426,35185687,35251025,35301492,35615517,35676986,35809567,35962144,36126092,36183031,36324222,36859065,37039473,37424396,37793887,37795052,37812777,38040631,38093378,38233689,38287087,39316336,39330305,39534801,39615261,40095393,40126327,40457412,40755692,41373241,41464807,41492886,41707231,41829026,41949367,42301230,42399425,42553447,43156346,43361521,43892396,44230878,44611161,44713231,45120057,45121312,45401865,45665647,46100972,46495231,47161025,47196366,48096609,48428656,49196167,49221953,49399233,50380477,50424081,50600697,50761476,50821567,50879310,50937127,51145629,51236396,51398647,51744031,51973927,52572013,52661887,52814157,53108525,53233207,53919305,53935966,54271264,54482238,54597031,54977793,55387807,55436012,55480136,55950487,56186150,56544785,56593230,56710796,56747066,57405031,58183207,58803386,58847407,58892492,58955405,59068231,59104630,59619031,59981612,60083906,60238925,60366112,60387127,60715231,60888332,61055172,61260631,61945030,62129527,62415153,62699372,63142466,63260465,63557277,63717485,63730230,64025421,64157378,64495231,64703166,65028031,65548077,66615631,66671816,66684578,66826087,67350967,67423380,67469857,67787816,67853742,67911876,67978912,67983513,68707231,68805465,69351065,69527661,69665585,70016254,70629932,70746486,70908333,70925556,70926585,70974727,71416177,71446586,71485207,71918272,71972110,72095407,72180753,72286710,72601927,73392496,73552713,73856396,74036326,74179778,74312457,74334036,74510287,75005793,75193805,75306031,75416378,75480713,75583688,75655024,75663425,75912558,76001612,76097167,76261293,76366257,76460982,76476276,76930881,76981687,77051380,77105824,77263953,77470567,77532785,78033425,78421021,78471897,78539767,78859706,79022887,79696231,79743185,79983727,80175031,80331981,80508337,80652031,80908056,80989196,81127231,81134888,81522092,81883807,82566558,82760378,82771025,83221278,83289967,83476231,83598702,83650796,83662207,83924753,83940631,84005132,84125887,85031649,85111902,85235585,85744185,85962607,86053687,86235631,86305196,86366532,86744052,87188396,87717932,88307287,88492900,88968022,89020346,89304812,89383713,89814031,90232566,90253231,90796110,91021563,91064972,91104009,91193901,91276749,91460464,91819447,92461656,93039342,93277231,93418925,93640110,93699212,93871447,93956047,94377967,94399016,94947746,94965631,95132887,95329437,95476505,95549767,95691822,95874185,96074398,96168201,96213031,96295785,96385510,96849184,97199287,97293506,97375052,98094247,98299257,98585053,98900287,99072950,99325230,99335553,99392378,99469196,99619567,99858957,99882784,99992012,...,70249411760729472867266712512026258826309114277239191242878466576758473945992372679193983802965943235284218757247497793011673897471471185491965779604552379097072915667708103831937755567623959706644675625971503459495768284162419259857760182871921965353400352242005112069824560215000448558216700369295256300109283059188123829534217992545460171483658177673609296640462219207666418833612427764897904617438365669645820929393906858544845817792881210106343145200621932960919703607678401769851369475735164068807027761909287672357152472235754375443869057113340328597877366277673908113341752350338961210027861083149577117817857035845787558747173284154837792899473492502397164777707204054975873737147130375371770542460538442766160759646649381413209246879819506040440053401635700360547809273424443263773336762713660582223074135558768934862431181808091507297330415560960172106505929553231305209913481195670407775979885771920437641446326589784722752754921455357064022130992230877920296261299156558560918782573288525020431193264242079029302261777596918247925962832121912073142838786951164694919624106403240797332029379210352171849016829367130419324794696208944299743758817232816548565878022684233964552254198016987178129965363064672242318804582586889574473248745539616329549858822988712503052884453167222265438918426070199582687078437507152169959096609522014457576471875671843252131586833870293431894342180291632274009953014114344684661346736469366762021909062273064644197185788625171184657576593586206543167549547707763741418439105604361859176482776213825212786705751662696922307771287490733759753490856551541537016883261945565331385067871447417382675331196183904911421523179059665943665751392306403884881068235253932370299512801401248299081128156376043585814416906049330729995323627809599140916063554922737139761948818984265709840325409611215086404222025183509076470715769626928258267509778316133690283947557718773931003664885279876226968813863176546012443230060220271998466323773234035744449725771583680908560590722703502257037896645572936966597835292105642670099975695134650477287827334901196512182942726416253476852818817018402007555358431807623410898113551223575797032887479459956121805071307479550265369113929218988520084074077972589493038854756933887867341966221908652001940028141266058172654590369539344267545126255684345353586460539084127814883068444607734833706476040828918246571534856199350856515100740206403196016173261949089504018465184436958779011949806299476783002817874193592300793717299959364305129193644744544423083053696133417693945876621605053522351414739964980631527097595719729999939320015787226437574378427051976751692606867894508826819916368653821567634614358601809516807793444524027195667393687366657375190250575986618138924878030744864047827973502814257794689212596244519088941199634552341146305858366110360458838942023752484790711485359345878576452732148574878809832412425830399562116532814846706021219670196363453554749805693997384376184583025929889266931854971189613176434387391288814118664876654767005040327610540880906264887829014717862760720213627363128696107430952701683415353139467893203595003323048044768303888013881220315953601573393734479861503566647365640717471756373557233856404280114407471050583731870067788413275100006852211123705011962399364903480521646652897715527516371018235074240736935955353292263809664909516747876161723001932773021513609186594487621203927257413639593903967284795237531577606405595163486970618823585940342627830476281120562882558686632214530465887912256924199210139476799324791713145041236418308272400878333396903933117318606249610672109946942443501345019574297486777685222719226818224987540132686795460163878552161895579883613379745115793645236670290131525090840054717199087352058664785636848977071282960182655154753927642189247187474235871247055581382047512644}
23969 651267175849034389613977487017854659769342939793339620516941542946750829835587: {838495,1006194,1197850,1437420,1533248,1724904,1940517,2656119,4803699,5232567,5620495,5661219,6336415,6744594,6945879,7603698,7633351,7801239,8482015,8870239,9356239,9935859,10178418,10385186,10786567,12361987,12671770,12763495,13764567,13873699,14188899,14398034,14608399,14835980,14872879,15206124,15316194,15510451,15610615,15884067,15952639,16321495,16665967,17276738,17477479,17803176,17978815,18625111,18655747,18732738,19397815,19430348,19585794,19685559,19819570,20028573,20109151,20346559,20409746,20568620,20750851,21246970,21494191,21532999,21574578,21853027,22411634,22703215,23008154,23277378,23367751,23410495,23783484,23888919,23964679,24412514,24682344,24721906,24836959,25059415,25496364,25758967,25834819,25982499,26400567,26471215,26505127,26732498,27243858,27456716,27757640,27767637,28092594,28174226,28415911,28619084,28808479,28904439,29125567,29156780,29633839,30071298,30916268,31218610,31227345,31466876,31765458,32016620,32061439,32212771,32230839,32414659,32566159,32806495,33291907,33309168,33329146,33618866,33679159,34334707,34401794,34678015,34875020,34988136,35481370,36419251,36714319,36797539,37462332,37472814,37894298,38419944,38936876,39112615,39223880,39361653,39367794,39481148,39811495,40082767,40154047,40214938,41104327,41154970,41611154,41613618,41850024,42241951,42375074,42421639,42577644,43222437,43592098,43674691,44126865,44952680,45157615,45239612,46385239,46780495,46826719,46935138,47028567,47068656,47081277,47243815,47487356,47773794,48259459,48432296,48545119,48835279,49145420,49146271,49385964,49934467,50417036,50571765,50944615,50978252,51490087,51494259,51645919,52114759,52707639,52713068,52820348,52952238,53460524,53515479,53943216,54189138,54406567,54486333,54824306,54865495,55116787,55323848,55370066,56136594,56270119,56401640,56692578,57140067,57423799,57626215,57643906,57739111,58337839,58974504,59285491,59314339,59457679,59481548,60160076,60167354,60535820,60686118,61097167,61133538,61941967,61985239,62239329,62357251,62743539,62928488,63451845,63698738,64045495,64128812,64218434,64734519,65419034,65838594,65865644,65919319,66135727,66198146,66346317,67232108,67380631,67467596,67681968,67839080,68194172,69151458,69295015,69350170,69447727,69575299,70095751,70418876,70610947,70794549,70888495,70993027,71654738,71790466,72341239,72642984,73185607,73303724,73615615,73953799,74600839,74977015,75329791,75457640,76008434,76110415,76142214,76318965,76854594,77151967,77969218,78081079,78374215,78676754,79047427,80027906,80356399,80903949,81406896,81713938,81723357,82599139,82833439,83154018,83220204,83339770,84279225,84734770,84743036,84889845,84973640,85066194,85120599,85158967,85367228,85902079,86025907,86270888,87397436,87400786,87703279,88205079,88287415,88338738,88656945,88907479,89056447,89876066,89897840,89972418,90125859,90132367,90471656,90549168,90634951,90644684,91332498,91582758,91740620,92029666,92215459,92320495,92703548,92917545,93192451,93808274,93950959,94049058,94328648,94479610,94544444,94567408,94568780,94592767,94713699,94775887,95002015,95595345,95941831,96236067,96241004,96314225,96382280,97004719,97054749,97848739,98070284,98667607,99083276,99112048,99151826,99587239,99693439,...,105374117641094209300900068768039388239463671415858786864317699865137710918988559018790975704448914852926328135871246689517510846207206778237948669406828568645609373501562155747906633351435939559967013438957255189243652426243628889786640274307882948030100528363007668104736840322500672837325050553942884450163924588782185744301326988818190257225487266510413944960693328811499628250418641647346856926157548504468731394090860287817268726689321815159514717800932899441379555411517602654777054213602746103210541642863931508535728708353631563165803585670010492896816049416510862170012628525508441815041791624724365676726785553768681338120759926232256689349210238753595747166560806082463810605720695563057655813690807664149241139469974072119813870319729259060660080102453550540821713910136664895660005144070490873334611203338153402293646772712137260945995623341440258159758894329846957814870221793505611663969828657880656462169489884677084129132382183035596033196488346316880444391948734837841378173859932787530646789896363118543953392666395377371888944248182868109714258180426747042379436159604861195998044068815528257773525244050695628987192044313416449615638225849224822848817034026350946828381297025480767194948044597008363478206873880334361709873118309424494324788234483068754579326679750833398158377639105299374030617656260728254938644914283021686364707813507764878197380250805440147841513270437448411014929521171517026992020104704050143032863593409596966295778682937756776986364890379309814751324321561645612127658658406542788764724164320737819180058627494045383461656931236100639630236284827312305525324892918347997077601807171126074012996794275857367132284768589498915498627088459605827321602352880898555449269202101872448621692234564065378721625359073996094992985441714398711374095332384105709642923228476398564760488114416822629606333037775263614706073654440392387401264667474200535425921336578160896505497327919814340453220794764819018664845090330407997699485659851053616674588657375521362840886084055253385556844968359405449896752938158464005149963542701975715931741002351794768274414089624380215279228225527603011333037647711435116347170326835363695549331219189934182707606961219325398053670893828482780126111116958884239558282135400831801012949332862978002910042211899087258981885554309016401317689383526518030379690808626191722324602666911602250559714061243377369857302284299026284772651110309604794024259892923634256027697776655438168517924709449215174504226811290388451190575949939046457693790467116816634624580544200126540918814932407580283527122109947470947290646393579594999908980023680839656361567640577965127538910301841763240229874552980732351451921537902714275211690166786040793501090531049986062785375863979927208387317046117296071741960254221386692033818894366778633411799451828511719458787549165540688258413035628727186067228039018817864679098222862318214748618638745599343174799222270059031829505294545180332124708540996076564276874538894833900397782456784419764651581086933221177997314982150507560491415811321359397331743522076794141080320441044693044161146429052525123029709201839805392504984572067152455832020821830473930402360090601719792255349971048461076207634560335850784606420171611206575875597805101682619912650010278316685557517943599047355220782469979346573291274556527352611361105403933029938395714497364275121814242584502899159532270413779891731431805890886120459390855950927192856297366409608392745230455928235378910513941745714421680844323838029948321795698831868385386298815209215198987187569717561854627462408601317500095355899675977909374416008164920413665252017529361446230166527834078840227337481310199030193190245817828242843369825420069617673690467855005435197287636260082075798631028087997178455273465606924440273982732130891463283870781211353806870583372073071268966}
23970 653554537048073553803465234411800755847997070821190436074021311538524593377129: {311441,527054,981089,1267601,1341592,1410749,1458449,1509291,1696829,1796775,1916560,1982621,2156130,2299872,2315681,2410769,2587356,2695841,2821262,3265121,3312509,3541492,3596669,3738641,4250462,4305809,4683281,5295581,5389661,5436689,5953469,6404932,6529694,6656609,6703421,6937361,6976756,7098062,7264541,7548292,7949534,7964321,8197181,8516462,8662301,8992792,9173009,9261172,9636449,9914129,10116891,10138264,10145309,10191521,10330109,10401652,10778414,10837649,11405547,12262781,13247812,13312094,13360829,13571224,13999229,14044769,14317841,14726909,14999261,15267627,15361949,15577779,15678881,15769361,16085789,16311569,16717469,16951262,17257661,17662049,17841569,17931281,18352756,18468881,18544975,18781949,18900734,18918532,19007655,19139261,19406909,19718801,19734062,20274832,20288894,20385821,20421592,20918141,21006749,21178756,21405089,21597051,21670289,21935201,22243901,22253970,22464161,22809186,22904081,22974291,23167649,23693921,23737568,23881262,24044129,24287935,24350141,24431774,24481169,24976984,25004561,25352849,25526801,25710775,25915107,26114392,26247412,26308001,26524541,26628062,26704764,27043421,27172961,27345569,27948689,27991709,27996062,28099107,28378529,28766104,29021789,29145522,29278589,29378691,29492369,29729355,29876669,29905214,30047261,30177374,30614619,30852930,31036504,31536014,31576829,31711312,31851892,31870455,32168861,32211089,32361867,32422109,32843549,32909792,33432221,33474209,33617451,33995152,34186781,34320895,34512231,34643332,34697050,34916067,35200756,35355389,35675226,35773855,35812769,36227729,36325144,36352061,36445975,36618771,37023516,37082859,37096541,37179101,37456792,37471262,37714961,37797281,37838429,38244546,38331581,38539252,38645335,38700689,39333595,39436961,40020775,40095064,40098747,40129949,40373981,40679294,40861181,40865787,40945694,41144849,41185074,41468561,41508989,41636460,42009854,42074141,42138891,42261339,42353944,42378259,42557309,42597521,42806462,42928626,42974452,43336814,43400081,43520189,43593775,43601774,43735170,43800161,44412224,44478461,45106947,45709409,45907229,46144349,46374402,46499489,46538909,46650848,46827915,46972001,47200314,47296094,47648187,47952701,48024930,48148241,48408367,48608654,48671095,48733661,49029850,49239569,49351435,49589021,49782881,49917614,49949776,49963752,49993719,50015249,50178974,50428299,50701262,50941841,51211229,51226592,51403409,51441821,51602691,51633761,51978749,52312530,52482204,52490392,52524734,52552289,52666781,53047901,53222055,53238161,53731901,53822894,54639869,55012771,55062427,55167389,55375934,55392989,55430561,55484824,55800032,55892462,56190850,56193498,56209221,56441981,56549515,56628641,56770192,56841447,57181262,57187421,57298961,57629916,57952814,58171399,58336529,58405314,58466462,58835820,58852961,59051691,59110589,59221722,59294369,59359195,60322407,60540370,61157501,61266449,61431775,61732455,61810109,62063201,62135441,62351969,62416731,62420427,62580184,62704756,62758208,62775036,63021295,63107549,63322781,63562611,63645089,63698392,63722815,63788129,63866466,64109501,64332014,64394621,65069729,65388147,65812541,65847952,65891335,66025435,66129809,66762401,66825655,66832529,66858494,67357469,67362062,67392401,67429020,67859418,68332541,68659012,68713889,68748509,68956061,69154810,69232349,69439229,69871262,70058141,70276852,70371374,70402707,70502050,70602984,70776929,70981649,71015741,71231034,71353972,71492189,71619134,71660691,71924288,72102461,72136289,72252184,72305309,72366062,72642749,72648444,72844829,73013009,73549841,73616801,73717181,73718130,73951121,74051261,74078946,74351935,74550881,74848792,75015569,75148049,75200095,75487027,75587774,75590104,75625554,75643709,75669775,76081262,76137569,76186756,76467378,76531361,76574174,76596881,76989329,77021981,77413181,77510801,77673341,77965409,78386141,78579869,78632672,78644381,78660610,79030781,79069602,79162699,79230522,79428357,79991741,80161015,80190786,80214929,80252654,80691869,80787041,80914824,81135389,81283707,81511384,81892061,81923489,82236459,82332055,82362641,82537567,82675361,82746482,82929614,82985772,83055099,83205149,83298401,83329469,83414462,83515709,83658052,83701661,83856401,83898734,83980049,84040135,84134429,84165281,84204891,84319421,84334495,84411809,84602460,84798850,85038867,85106894,85242715,85697681,86312692,86465859,86723042,87059741,87330209,87510161,87719741,87784792,87809441,87958781,88023595,88316381,88346129,88461756,88564651,88613501,88850621,88968989,89057681,89204479,89222322,89426462,89647121,89712667,89852669,90240114,90242624,90251031,90612701,90803730,90874529,91029177,91048721,91309469,91331294,91425149,91629655,91700307,91829021,91857809,92201944,92202641,92460509,92990462,93287009,93711869,93909521,94247441,94322050,94392732,94415969,95003549,95170781,95548107,95559869,95670749,96193218,96250769,96327651,96857312,97091491,97155101,97531819,97563281,97969661,98128551,98392334,98443906,98669789,98757891,98798466,99071249,99183799,99297219,99391121,...,158061176461641313951350103152059082359195507123788180296476549797706566378482838528186463556673372279389492203806870034276266269310810167356923004110242852968414060252343233621859950027153909339950520158435882783865478639365443334679960411461824422045150792544511502157105260483751009255987575830914326675245886883173278616451990483227285385838230899765620917441039993217249442375627962471020285389236322756703097091136290431725903090033982722739272076701399349162069333117276403982165581320404119154815812464295897262803593062530447344748705378505015739345224074124766293255018942788262662722562687437086548515090178330653022007181139889348385034023815358130393620749841209123695715908581043344586483720536211496223861709204961108179720805479593888590990120153680325811232570865204997343490007716105736310001916805007230103440470159068205891418993435012160387239638341494770436722305332690258417495954742986820984693254234827015626193698573274553394049794732519475320666587923102256762067260789899181295970184844544677815930088999593066057833416372274302164571387270640120563569154239407291793997066103223292386660287866076043443480788066470124674423457338773837234273225551039526420242571945538221150792422066895512545217310310820501542564809677464136741487182351724603131868990019626250097237566458657949061045926484391092382407967371424532529547061720261647317296070376208160221762269905656172616522394281757275540488030157056075214549295390114395449443668024406635165479547335568964722126986482342468418191487987609814183147086246481106728770087941241068075192485396854150959445354427240968458287987339377521995616402710756689111019495191413786050698427152884248373247940632689408740982403529321347833173903803152808672932538351846098068082438038610994142489478162571598067061142998576158564464384842714597847140732171625233944409499556662895422059110481660588581101897001211300803138882004867241344758245991879721510679831192147228527997267635495611996549228489776580425011882986063282044261329126082880078335267452539108174845129407237696007724945314052963573897611503527692152411621134436570322918842338291404516999556471567152674520755490253045543323996828784901274061410441828988097080506340742724170189166675438326359337423203101247701519423999294467004365063317848630888472828331463524601976534075289777045569536212939287583486904000367403375839571091865066054785953426448539427158976665464407191036389839385451384041546664983157252776887064173822761756340216935582676785863924908569686540685700675224951936870816300189811378222398611370425290683164921206420935969590369392499863470035521259484542351460866947691308365452762644860344811829471098527177882306854071412817535250179061190251635796574979094178063795969890812580975569175944107612940381332080038050728341550167950117699177742767579188181323748311032387619553443090779100842058528226797018647334293477322122927958118399014762198833405088547744257941817770498187062811494114846415311808342250850596673685176629646977371630399831766995972473225761340737123716982039095997615283115191211620480661567039566241719643578787684544563802759708088757476858100728683748031232745710895603540135902579688383024956572691614311451840503776176909630257416809863813396707652523929868975015417475028336276915398571032831173704969019859936911834791028917041658105899544907593571746046412682721363876754348739298405620669837597147708836329180689086283926390789284446049614412589117845683892353068365770912618571632521266485757044922482693548247802578079448222813822798480781354576342781941193612901976250143033849513966864061624012247380620497878026294042169345249791751118260341006221965298545289785368726742364265054738130104426510535701782508152795931454390123113697946542131995767682910198410386660410974098196337194925806171817030710305875058109606903449}
23971 655849879901083368310420283660159282412456192424386821514963864448871942642694: {23971,790581,1173893,1676990,2012388,2395700,2874840,3066496,3234195,3449808,3881034,4231893,4426865,5312238,6375693,7868693,8006165,8159789,8720945,8870981,9021233,9435365,9607398,9794541,10456973,10465134,10647093,11240990,11312741,11322438,11576465,11874821,11924301,12672830,12747761,12774693,13002065,13489188,13891758,14609621,15043793,15207396,15266702,15602478,16036229,16167621,16559765,16964030,17052821,17478941,17609141,17740478,17868893,18330533,18626669,18712478,19181261,19533653,19871718,19968141,20348261,20356836,20770372,21495989,21573134,21854861,22047701,22850093,22940945,22976549,23648165,24066293,24523733,24723974,24777041,25170341,25343540,25426893,25526990,26473445,26784053,27029981,27156941,27207293,27529134,27616433,27747398,28351101,28377798,28796068,29216798,29601093,29671960,29745758,29802053,30375629,30412248,30433341,30632388,31020902,31221230,31324241,31768134,31784501,31905278,32642990,32774693,32809265,33120173,33294701,33331934,33380955,33513461,34213779,34553476,34812101,34954958,35083181,35606352,35821893,35833373,35957630,36245681,36647661,37059701,37250222,37311494,37465476,37641413,38795630,38860696,39171588,39246341,39340193,39344981,39371118,39639140,39814865,39942093,40057146,40218302,40577381,40693118,40819492,41137240,41501702,41539493,41994093,42112781,42493940,42988382,43040933,43065998,43149156,43304165,43369973,43706054,43718283,44000945,44823268,44857821,45155189,45266061,45406430,45929093,46016308,46279395,46554756,46735502,46820990,47304021,47566968,47777838,47929358,48174065,48549221,48577841,48825028,49364688,49443812,49584221,49673918,50118830,50457341,50530673,50992728,51442493,51517934,51669638,51964998,52012829,52045575,52535669,52801134,52942430,53010254,53464996,53512839,53718065,53881361,54487716,54757661,54913432,55515280,55535274,55736093,56185188,56206893,56348452,56831822,57238168,57366819,57616958,57808878,58251134,58313560,59013461,59267678,59696369,60142596,60555653,60851921,61018941,61384061,61418541,61777611,61832536,62437220,62454690,62879069,62890133,62933752,63014781,63220661,63530916,64033240,64122878,64209693,64392939,64425542,64461678,64829318,65005221,65132318,65138021,65402661,65492693,65602755,65612990,66141341,66583814,66618336,66658292,67237732,67358318,68285069,68669414,68803588,69356030,69561603,69750040,69976272,70616909,70800471,70944141,70962740,71322461,71404001,72037395,72835421,72838502,72912981,73149521,73428638,73544775,73595078,73674533,73694933,73706501,74876421,74924664,74945628,75125693,75268461,75336113,75788596,76051893,76811693,76839888,77129681,77873752,77959841,78225230,78380945,78447760,78468795,78723306,78735588,78787101,78962296,79054061,79622990,80165534,80308094,80429876,80524949,80676701,80734341,80851973,82208654,82309940,82840433,83063901,83222308,83227236,83449301,83465981,83700048,83838693,84286275,84290247,84483902,84750148,84843278,85155288,85166141,85771893,85823765,86033189,86228669,86444874,86492081,86929221,87184196,87349382,87570461,87607971,87699693,87846065,88253730,88832583,89063921,89192465,89663693,89810093,89905360,90315230,90479224,90810555,90819941,92770478,93560990,93653438,93751781,93870276,94057134,94137312,94162554,94331093,94487630,94783841,94974712,95177669,95233445,95244941,95547588,95799699,96498021,96518918,96864592,97013021,97090238,97670558,98290840,98292542,98309189,98771928,98942021,99243893,99399101,99868934,...,210748235282188418601800137536078776478927342831717573728635399730275421837977118037581951408897829705852656271742493379035021692414413556475897338813657137291218747003124311495813266702871879119934026877914510378487304852487257779573280548615765896060201056726015336209473680645001345674650101107885768900327849177564371488602653977636380514450974533020827889921386657622999256500837283294693713852315097008937462788181720575634537453378643630319029435601865798882759110823035205309554108427205492206421083285727863017071457416707263126331607171340020985793632098833021724340025257051016883630083583249448731353453571107537362676241519852464513378698420477507191494333121612164927621211441391126115311627381615328298482278939948144239627740639458518121320160204907101081643427820273329791320010288140981746669222406676306804587293545424274521891991246682880516319517788659693915629740443587011223327939657315761312924338979769354168258264764366071192066392976692633760888783897469675682756347719865575061293579792726237087906785332790754743777888496365736219428516360853494084758872319209722391996088137631056515547050488101391257974384088626832899231276451698449645697634068052701893656762594050961534389896089194016726956413747760668723419746236618848988649576468966137509158653359501666796316755278210598748061235312521456509877289828566043372729415627015529756394760501610880295683026540874896822029859042343034053984040209408100286065727186819193932591557365875513553972729780758619629502648643123291224255317316813085577529448328641475638360117254988090766923313862472201279260472569654624611050649785836695994155203614342252148025993588551714734264569537178997830997254176919211654643204705761797110898538404203744897243384469128130757443250718147992189985970883428797422748190664768211419285846456952797129520976228833645259212666075550527229412147308880784774802529334948401070851842673156321793010994655839628680906441589529638037329690180660815995398971319702107233349177314751042725681772168110506771113689936718810899793505876316928010299927085403951431863482004703589536548828179248760430558456451055206022666075295422870232694340653670727391098662438379868365415213922438650796107341787656965560252222233917768479116564270801663602025898665725956005820084423798174517963771108618032802635378767053036060759381617252383444649205333823204501119428122486754739714604568598052569545302220619209588048519785847268512055395553310876337035849418898430349008453622580776902381151899878092915387580934233633269249161088400253081837629864815160567054244219894941894581292787159189999817960047361679312723135281155930255077820603683526480459749105961464702903843075805428550423380333572081587002181062099972125570751727959854416774634092234592143483920508442773384067637788733557266823598903657023438917575098331081376516826071257454372134456078037635729358196445724636429497237277491198686349598444540118063659010589090360664249417081992153128553749077789667800795564913568839529303162173866442355994629964301015120982831622642718794663487044153588282160640882089386088322292858105050246059418403679610785009969144134304911664041643660947860804720181203439584510699942096922152415269120671701569212840343222413151751195610203365239825300020556633371115035887198094710441564939958693146582549113054705222722210807866059876791428994728550243628485169005798319064540827559783462863611781772240918781711901854385712594732819216785490460911856470757821027883491428843361688647676059896643591397663736770772597630418430397974375139435123709254924817202635000190711799351955818748832016329840827330504035058722892460333055668157680454674962620398060386380491635656485686739650840139235347380935710010870394575272520164151597262056175994356910546931213848880547965464261782926567741562422707613741166744146142537932}
23972 658153232079461800491782752315919129693013692925742250306502555730854286949675: {622882,1028947,1054108,1458571,1744627,1887547,1962178,2458507,2515485,2535202,2683184,2821498,2916898,2994625,3018582,3312787,3393658,3593550,3833120,3965242,4312260,4599744,4631362,4730827,4821538,5013571,5174712,5391682,5437147,5642524,5821551,6530242,6625018,6703987,7082984,7193338,7477282,7968357,8244427,8500924,8611618,8802427,8941747,9366562,9637267,10192387,10591162,10779322,10873378,10884667,11713027,11906938,12676171,12809864,13059388,13313218,13406842,13874722,13953512,14045971,14196124,14411097,14529082,15096584,15408571,15697701,15899068,15928642,16394362,16861485,16983657,17032924,17324602,17843107,17985584,18346018,18522344,19009245,19185547,19272898,19828258,20233782,20276528,20290618,20383042,20660218,20803304,20837637,21185707,21556828,21675298,22811094,22900053,23169667,23403717,24089971,24525562,25446045,25962965,26495624,26610717,26624188,26721658,27142448,27994171,27998458,28068717,28089538,28635682,29453818,29537707,29807577,29921971,29998522,30535254,30723898,31155558,31357762,31538722,31579627,31679425,32087227,32171578,32213947,32359701,32623138,33098971,33434938,33477187,33902524,34003109,34357171,34515322,35324098,35683138,35862562,35995085,36705512,36937762,37085961,37089950,37223707,37563898,37718347,37801468,37837064,37841827,38015310,38278522,38290485,38813818,39437602,39468124,39562987,39929971,40549664,40577788,40771642,40843184,41148571,41293701,41512747,41621097,41836282,42013498,42357512,42566697,42601387,42810178,43191845,43194102,43340578,43825197,43870402,44163571,44487802,44507940,44522347,44618637,44928322,45618372,45808162,45948582,46188067,46335298,46531353,46543171,46831845,47387842,47475136,47652201,47762524,47857917,48049253,48088258,48308971,48575870,48700282,48863548,48962338,48964485,49548925,49953968,49997901,50009122,50058571,50083397,50705698,51024365,51053602,51215971,51421550,51446587,51830214,52228784,52432437,52494824,52616002,53049082,53117425,53167027,53256124,53409528,53936445,54086842,54103469,54345922,54418387,54691138,55067033,55435747,55875333,55897378,55967241,55983418,55992124,56029085,56198214,56671267,56757058,57229987,57520385,57532208,58043578,58193445,58291044,58557178,58757382,58984738,59056677,59336707,59458710,59753338,59810428,59886787,60085719,60094522,60215971,60327453,60354748,61031285,61039677,61229238,61705860,61804765,62069107,62073008,62252553,62393971,63072028,63153658,63422624,63703784,63740910,64337722,64422178,64482573,64598997,64723734,64844218,65015093,65559081,65687098,65818867,65819584,66831245,66864442,66948418,66979147,67234902,67398907,67990304,68109645,68139533,68373562,68641790,68748017,68755171,69024462,69092009,69273571,69286664,69394100,69480427,69832134,70103253,70231485,70401512,70435565,70710778,71022667,71350452,71547710,71625538,71666757,71894037,72143347,72346171,72455458,72650288,72704122,72891950,73053787,73237542,73557067,73858171,74047032,74165718,74193082,74358202,74510877,74913584,74942524,75178245,75429922,75594562,75651187,75676858,76489092,76663162,77029627,77078504,77276901,77290670,77401378,77504457,77947497,78046525,78667190,78873922,78974347,79169321,79201701,79413645,79515381,80041550,80190128,80197494,80259898,80747962,81358588,81648571,81722362,81731574,81891388,81931747,82289698,82308307,82370148,82402267,82937122,83017978,83102873,83272920,83302911,83322865,83337907,84019708,84047165,84148282,84173827,84277782,84522678,84707888,84756518,85114618,85195042,85247733,85554067,85612924,85857252,85948904,86004485,86425437,86673628,86713317,86737171,86800162,87040378,87187550,87203548,87369187,87376701,87470340,87600322,88229813,88355227,88703425,88824448,88901517,88956922,88978171,89211941,89685787,90037867,90213894,90913027,91418818,91434667,91814458,91867387,92247869,92288698,92435609,92470171,92748804,92998978,93077818,93301696,93495307,93555917,93655830,93682035,93944002,94400628,94592188,94735745,94762147,94846027,95296374,95680867,95905402,96049860,96184317,96296482,96426067,96638313,96692517,96816734,97217308,97243977,97328947,97342190,97467322,97698477,98059700,98419485,98479138,98702870,98707171,99178042,99565762,99835228,99875721,99899552,99927504,99987438,...,316122352923282627902700206304118164718391014247576360592953099595413132756965677056372927113346744558778984407613740068552532538621620334713846008220485705936828120504686467243719900054307818679901040316871765567730957278730886669359920822923648844090301585089023004314210520967502018511975151661828653350491773766346557232903980966454570771676461799531241834882079986434498884751255924942040570778472645513406194182272580863451806180067965445478544153402798698324138666234552807964331162640808238309631624928591794525607186125060894689497410757010031478690448148249532586510037885576525325445125374874173097030180356661306044014362279778696770068047630716260787241499682418247391431817162086689172967441072422992447723418409922216359441610959187777181980240307360651622465141730409994686980015432211472620003833610014460206880940318136411782837986870024320774479276682989540873444610665380516834991909485973641969386508469654031252387397146549106788099589465038950641333175846204513524134521579798362591940369689089355631860177999186132115666832744548604329142774541280241127138308478814583587994132206446584773320575732152086886961576132940249348846914677547674468546451102079052840485143891076442301584844133791025090434620621641003085129619354928273482974364703449206263737980039252500194475132917315898122091852968782184764815934742849065059094123440523294634592140752416320443524539811312345233044788563514551080976060314112150429098590780228790898887336048813270330959094671137929444253972964684936836382975975219628366294172492962213457540175882482136150384970793708301918890708854481936916575974678755043991232805421513378222038990382827572101396854305768496746495881265378817481964807058642695666347807606305617345865076703692196136164876077221988284978956325143196134122285997152317128928769685429195694281464343250467888818999113325790844118220963321177162203794002422601606277764009734482689516491983759443021359662384294457055994535270991223993098456979553160850023765972126564088522658252165760156670534905078216349690258814475392015449890628105927147795223007055384304823242268873140645837684676582809033999112943134305349041510980506091086647993657569802548122820883657976194161012681485448340378333350876652718674846406202495403038847998588934008730126635697261776945656662927049203953068150579554091139072425878575166973808000734806751679142183730132109571906852897078854317953330928814382072779678770902768083093329966314505553774128347645523512680433871165353571727849817139373081371401350449903873741632600379622756444797222740850581366329842412841871939180738784999726940071042518969084702921733895382616730905525289720689623658942197054355764613708142825635070500358122380503271593149958188356127591939781625161951138351888215225880762664160076101456683100335900235398355485535158376362647496622064775239106886181558201684117056453594037294668586954644245855916236798029524397666810177095488515883635540996374125622988229692830623616684501701193347370353259293954743260799663533991944946451522681474247433964078191995230566230382423240961323134079132483439287157575369089127605519416177514953716201457367496062465491421791207080271805159376766049913145383228622903681007552353819260514833619727626793415305047859737950030834950056672553830797142065662347409938039719873823669582057834083316211799089815187143492092825365442727753508697478596811241339675194295417672658361378172567852781578568892099228825178235691367784706136731541825237143265042532971514089844965387096495605156158896445627645596961562709152685563882387225803952500286067699027933728123248024494761240995756052588084338690499583502236520682012443930597090579570737453484728530109476260208853021071403565016305591862908780246227395893084263991535365820396820773320821948196392674389851612343634061420611750116219213806898}
23973 660464621349918675209007385069529396313695165453470552962393550324614396454942: {47942,934323,1317635,1581162,2347786,2943267,3353980,3802803,4024776,4232247,4375347,4527873,4791400,5090487,5390325,5749680,5947863,6132992,6197611,6468390,6899616,6947043,7053155,7232307,7762068,8087523,8463786,8853730,9643387,9795363,9937527,10624476,10626155,10790007,11208631,11215923,12209323,12751386,12917427,13209511,13369603,13938947,14049843,15737386,15886743,16012330,16168983,16207051,16310067,16319578,16324235,16813651,17441890,17741962,17745155,17860407,18042466,18202891,18870730,18951907,19103291,19214796,19535287,19589082,19873835,19969827,20110263,20810803,20812083,20913946,20930268,21291155,21294186,21793623,21801527,22481980,22546187,22625482,22644876,22668763,22978471,23152930,23183671,23371667,23749642,23848602,23892963,24591543,25345660,25495522,25549386,25986903,26004130,26946035,26978376,27519027,27691987,27783516,28909347,29219242,29742387,30087586,30350673,30408151,30414792,30435927,30533404,30574563,30990327,31204956,31857367,31944523,32072458,32117323,32335242,32512947,32717731,33107431,33119530,33280235,33684803,33928060,34105642,34216641,34340471,34957882,35218282,35480956,35737786,36661066,36788343,37062823,37253338,37424956,38013763,38362522,38994407,39029507,39067306,39348283,39743436,39936282,40082487,40696522,40713672,41540744,41997687,42134307,42378155,42953523,42991978,43146268,43709722,43968451,44095402,44167063,44180727,44997783,45270467,45700186,45802881,45881890,45932971,45953098,46085847,46733337,47036643,47251835,47296330,47308083,48132586,48257367,48934707,49047466,49154507,49335155,49447948,49554082,50152407,50340682,50687080,50722235,50853786,51053980,51772983,51889067,52748711,52946890,52986147,53524707,53568106,53793843,54015547,54059962,54313882,54414586,55058268,55232866,55406643,55474451,55494796,55634925,55740811,56345847,56702202,56755596,57022965,57417783,57494551,57592136,57748787,58220727,58433596,59156403,59171251,59202186,59343920,59467643,59491516,59604106,59631403,59703155,60625831,60751258,60824496,60866682,61079435,61157463,61264776,61469707,61601323,62041804,62442460,62608387,62648482,62754423,63020247,63536268,63569002,63810556,64215267,64791153,65010867,65285980,65549386,65618530,65805603,66240346,66570155,66589402,66663868,66731703,66761910,67026922,67392483,67443691,67536971,68427558,68712243,68922873,69106952,69502947,69624202,69734011,69909916,69990155,70166362,71081763,71212704,71643786,71666746,71766647,71915260,72132387,72491362,72863805,73050423,73295322,73443507,74119402,74311627,74500444,74622988,74763035,74887123,74930952,75013683,75034763,75205291,75282826,75443435,76058547,76285187,76580403,77132325,77591260,77721392,77745321,78094187,78343176,78492682,78680386,78689962,78742236,78840035,78924003,79278280,79573623,79629730,79884186,80114292,80436604,80531707,81130263,81154762,81386236,81518883,81566027,81638984,81755347,82036707,82274480,83003404,83078986,83456347,83846067,83975127,83988186,84225562,84297321,84987880,85135587,85976764,86081866,86131996,86298312,86608330,86739946,86742625,87065367,87107683,87131587,87412108,87436566,87835767,88001890,88136073,88477107,89188065,89630007,89646536,89715642,90141783,90310378,90465587,90532122,90812860,90827563,91673747,91843857,91858186,92032616,92558790,93109512,93208247,93471004,93641980,93678155,94608042,94730487,95133936,95185687,95555676,95611365,95858716,96094291,96348130,96506583,96633267,97085601,97098442,97155682,97266327,97650056,98530647,98684171,98729376,98887624,99168442,99347836,99407443,...,474183529384923941854050309456177247077586521371364540889429649393119699135448515584559390670020116838168476611420610102828798807932430502070769012330728558905242180757029700865579850081461728019851560475307648351596435918096330004039881234385473266135452377633534506471315781451253027767962727492742980025737660649519835849355971449681856157514692699296862752323119979651748327126883887413060856167708968270109291273408871295177709270101948168217816230104198047486207999351829211946496743961212357464447437392887691788410779187591342034246116135515047218035672222374298879765056828364787988167688062311259645545270534991959066021543419668045155102071446074391180862249523627371087147725743130033759451161608634488671585127614883324539162416438781665772970360461040977433697712595614992030470023148317208930005750415021690310321410477204617674256980305036481161718915024484311310166915998070775252487864228960462954079762704481046878581095719823660182149384197558425961999763769306770286201782369697543887910554533634033447790266998779198173500249116822906493714161811920361690707462718221875381991198309669877159980863598228130330442364199410374023270372016321511702819676653118579260727715836614663452377266200686537635651930932461504627694429032392410224461547055173809395606970058878750291712699375973847183137779453173277147223902114273597588641185160784941951888211128624480665286809716968517849567182845271826621464090471168225643647886170343186348331004073219905496438642006706894166380959447027405254574463962829442549441258739443320186310263823723204225577456190562452878336063281722905374863962018132565986849208132270067333058485574241358152095281458652745119743821898068226222947210587964043499521711409458426018797615055538294204247314115832982427468434487714794201183428995728475693393154528143793541422196514875701833228498669988686266177331444981765743305691003633902409416646014601724034274737975639164532039493576441685583991802906486835989647685469329741275035648958189846132783987378248640235005802357617324524535388221713088023174835942158890721692834510583076457234863403309710968756527014874213550998669414701458023562266470759136629971990486354703822184231325486964291241519022228172510567500026314979078012269609303743104558271997883401013095189953545892665418484994390573805929602225869331136708608638817862750460712001102210127518713275595198164357860279345618281476929996393221573109169518156354152124639994949471758330661192521468285269020650806748030357591774725709059622057102025674855810612448900569434134667195834111275872049494763619262807908771108177499590410106563778453627054382600843073925096358287934581034435488413295581533646920562214238452605750537183570754907389724937282534191387909672437742926707527832322838821143996240114152185024650503850353097533228302737564543971244933097162858660329272337302526175584680391055942002880431966368783874355197044286596500215265643232773825453311494561188434482344539245935425026752551790021055529888940932114891199495300987917419677284022211371150946117287992845849345573634861441984701118698725158930736363053633691408279124266272430574302186051244093698237132686810620407707739065149074869718074842934355521511328530728890772250429591440190122957571789606925046252425085008830746195713098493521114907059579810735504373086751124974317698634722780715238139238048164091630263046217895216862009512791443126508987542067258851779172367853338148843237767353537051677059205097312737855714897563799457271134767448080644743407734238344668441468395442344063729028345823580838705928750429101548541900592184872036742141861493634078882126508035749375253354781023018665895895635869356106180227092795164214390313279531607105347524458387794363170369341093839626395987303048730595231159981232922294589011584777418515451092130917625174328820710347}
23974 662784075574801840359531462141906629922915911679893397257277238674246939011451: {71913,407269,1245764,2057894,2108216,2371743,2411173,2917142,3489254,3521679,3775094,3924356,4117573,4192475,4917014,5030970,5070404,5366368,5390569,5531653,5642996,5833796,5989250,6037164,6625574,6787316,7187100,7359193,7666240,7930484,8198569,8624520,9199488,9262724,9461654,9643076,9702585,10027142,10349424,10424233,10783364,10874294,11285048,11643102,12695679,13043269,13060484,13250036,13280595,13407974,14165968,14386676,14411269,14954564,14956453,15092569,15228613,15772069,15907753,15936714,16488854,17001848,17223236,17604854,17883494,17934373,18733124,19127079,19274534,19811269,20384774,20478169,21010393,21182324,21558644,21746756,21769334,21806569,21939013,22335913,23259493,23426054,23606079,23654233,23813876,24018495,24479367,25096069,25226713,25352342,25619728,26118776,26162835,26529193,26612943,26626436,26813684,27048169,27063699,27749444,27824473,27907024,28091942,28102475,28306095,28392248,28822194,28984069,29058164,29112553,29383623,30193168,30776293,30817142,31370919,31395402,31682075,31798136,31857284,31941279,32301253,32788724,33564133,33722970,33938223,33967314,34065848,34649204,34729395,35444953,35624463,35686214,35772903,35943769,35971168,36348151,36692036,37044688,37185769,37804069,38018490,38166755,38243283,38324079,38371094,38545796,39006195,39656516,40467564,40553056,40581236,40766084,41320436,41606608,41675274,41960773,42081769,42371414,42410075,43113656,43350596,43828863,43888069,44351195,45131379,45202393,45559333,45622188,45800106,46152793,46339334,46781195,46807434,46980613,48039769,48108687,48179942,48502863,48625669,49051124,49326373,49679295,50393119,50892090,50951269,51158463,51925930,51988393,52103269,52436823,52827423,52991248,53221434,53248376,53443316,53606679,53932835,54284896,54991599,55403353,55880007,55988342,55996916,56137434,56179076,56190853,56639269,57271364,57543783,58421413,58600959,58907636,59075414,59615154,59843942,59904423,59997044,60468583,61044783,61070508,61447796,61809935,62147269,62255593,62311116,62715524,63077444,63119593,63159254,63358850,63817475,64174454,64343156,64427894,64487967,64719402,65246276,65564583,65895769,66143103,66197942,66529513,66594407,66845413,66869876,66954374,67475269,67805048,68006218,68550279,68714342,68822835,68929647,69030644,69038569,69368495,70648196,70944495,71097769,71366276,71434111,71506153,71725124,71990170,72198879,72218053,73027333,73041995,73411024,73571199,73631269,73875524,74171922,74179900,74331123,74364395,74447414,74632069,75127796,75436694,75511023,75602936,75674128,75683654,76030620,76070291,76280679,76557044,76580970,76612069,76836019,77493673,77552255,77627636,78053075,78440719,78466393,78660073,78875204,78936248,79125974,79420335,79763195,79859942,79911973,80103493,80352159,80528539,81089943,81099328,81155576,81470823,81543284,81607475,81621879,81686368,82002853,82297142,82587402,82849299,83025494,83221993,83242194,83329835,83672564,84026996,84715024,85053303,85133394,85202774,85443799,85620356,85988953,86080069,86383690,86388204,86443813,86526671,86681156,87387395,87650394,87740804,87887269,88327142,88334569,88803279,88868953,88975604,89015880,89044694,89237274,89406159,89856644,89894075,90193573,91126887,91236744,91300023,91616324,91897164,91934533,92279269,92376134,92670596,93062706,93086342,93125555,93278735,93563743,93663690,93972723,93985669,94070233,94491973,94775684,94950272,95304402,95353503,95525048,95715834,96098506,96176516,96617942,96989075,97151740,97230313,97400564,97727096,97924676,97928970,98044633,98324079,98427795,98449093,98609791,98610373,99012313,99097850,99360519,99884103,99907936,99995802,...,632244705846565255805400412608236329436782028495152721185906199190826265513931354112745854226693489117557968815227480137105065077243240669427692016440971411873656241009372934487439800108615637359802080633743531135461914557461773338719841645847297688180603170178046008628421041935004037023950303323657306700983547532693114465807961932909141543352923599062483669764159972868997769502511849884081141556945291026812388364545161726903612360135930890957088306805597396648277332469105615928662325281616476619263249857183589051214372250121789378994821514020062957380896296499065173020075771153050650890250749748346194060360713322612088028724559557393540136095261432521574482999364836494782863634324173378345934882144845984895446836819844432718883221918375554363960480614721303244930283460819989373960030864422945240007667220028920413761880636272823565675973740048641548958553365979081746889221330761033669983818971947283938773016939308062504774794293098213576199178930077901282666351692409027048269043159596725183880739378178711263720355998372264231333665489097208658285549082560482254276616957629167175988264412893169546641151464304173773923152265880498697693829355095348937092902204158105680970287782152884603169688267582050180869241243282006170259238709856546965948729406898412527475960078505000388950265834631796244183705937564369529631869485698130118188246881046589269184281504832640887049079622624690466089577127029102161952120628224300858197181560457581797774672097626540661918189342275858888507945929369873672765951950439256732588344985924426915080351764964272300769941587416603837781417708963873833151949357510087982465610843026756444077980765655144202793708611536993492991762530757634963929614117285391332695615212611234691730153407384392272329752154443976569957912650286392268244571994304634257857539370858391388562928686500935777637998226651581688236441926642354324407588004845203212555528019468965379032983967518886042719324768588914111989070541982447986196913959106321700047531944253128177045316504331520313341069810156432699380517628950784030899781256211854295590446014110768609646484537746281291675369353165618067998225886268610698083021961012182173295987315139605096245641767315952388322025362970896680756666701753305437349692812404990806077695997177868017460253271394523553891313325854098407906136301159108182278144851757150333947616001469613503358284367460264219143813705794157708635906661857628764145559357541805536166186659932629011107548256695291047025360867742330707143455699634278746162742802700899807747483265200759245512889594445481701162732659684825683743878361477569999453880142085037938169405843467790765233461811050579441379247317884394108711529227416285651270141000716244761006543186299916376712255183879563250323902276703776430451761525328320152202913366200671800470796710971070316752725294993244129550478213772363116403368234112907188074589337173909288491711832473596059048795333620354190977031767271081992748251245976459385661247233369003402386694740706518587909486521599327067983889892903045362948494867928156383990461132460764846481922646268158264966878574315150738178255211038832355029907432402914734992124930982843582414160543610318753532099826290766457245807362015104707638521029667239455253586830610095719475900061669900113345107661594284131324694819876079439747647339164115668166632423598179630374286984185650730885455507017394957193622482679350388590835345316722756345135705563157137784198457650356471382735569412273463083650474286530085065943028179689930774192991210312317792891255291193923125418305371127764774451607905000572135398055867456246496048989522481991512105176168677380999167004473041364024887861194181159141474906969457060218952520417706042142807130032611183725817560492454791786168527983070731640793641546641643896392785348779703224687268122841223500232438427613796}
23975 665111622712424441333458901350175104343805592532439250784505376600128197016152: {95884,1557205,1844689,1868646,2635270,3086841,3162324,4375713,4695572,4905445,5233881,5662641,5886534,6338005,6707960,7053745,7292245,7375521,7546455,7605606,8049552,8464494,8484145,8750694,8983875,9055746,9582800,9874417,9913105,9938361,10180974,10780650,11499360,11578405,11796997,11895726,12053845,12265984,12365089,12395222,12658441,12936780,13479205,13799232,13894086,13940113,14106310,14192481,14464614,14876617,15040713,15524136,16175046,16311441,16325605,16473301,16562545,16670149,16927572,17464653,17707460,17983345,18660433,18693205,19104889,19286774,19590726,19875054,20111961,20114197,21248952,21252310,21350737,21529045,21580014,22417262,22431846,22548073,22853929,23416405,23646001,23905071,23970697,24418646,24733281,24843217,25502772,25654357,25765441,25834854,26407281,26419022,26477905,26739206,26825241,26948305,27183445,27621061,27823369,27877894,28079689,28099686,28831609,28911801,29132881,29767345,29807617,30577161,31474772,31773486,32024660,32069497,32337966,32414102,32422801,32574337,32620134,32639156,32648470,32654001,33283045,33517105,33627302,34343353,34686805,34883780,35139081,35483924,35490310,35720814,35907289,36084932,36113797,36322705,36405782,36723541,37647721,37724449,37741460,37903814,38028513,38206582,38429592,39070574,39178164,39553393,39747670,39821605,39939654,40092841,40164133,40220526,40584193,40870657,40962469,40985905,41621606,41624166,41827892,41860536,42137913,42582310,42588372,42675193,43233291,43311505,43377241,43587246,43603054,44963960,45092374,45250964,45289752,45337526,45565921,45865045,45956942,46030249,46125781,46225713,46305860,46367342,46396897,46592329,46743334,47093103,47499284,47697204,47785926,48182245,49183086,49570645,49947073,50539141,50584455,50691320,50726545,50950971,50957605,50991044,51098772,51451129,51503089,51650545,51973806,52008260,52127857,52544473,53062729,53501461,53529321,53892070,53956752,54188245,54420241,55038054,55130713,55383974,55567032,56284297,57027735,57556641,57818694,58236673,58438484,59329417,59484774,59706373,60175172,60565801,60701346,60816302,60829584,60871854,61066808,61149126,61313905,61574917,61980654,62000857,62409912,62512911,63524869,63557121,63714734,63889046,64144916,64234646,64670484,65025894,65435462,66152569,66188737,66214862,66239060,66560470,66804145,67048021,67369606,67856120,68211284,68433282,68680942,68700159,69069217,69509001,69915764,69996145,70211151,70223845,70436564,70961912,71011129,71475572,71589205,72174289,72269913,73322132,73576686,73634545,74125646,74506676,74849912,74996305,75482497,76027526,76130161,76291633,76338135,76725044,76809745,77171449,77888895,77988814,78059014,78100741,78134612,78394405,78696566,78846805,79486872,79575589,79610809,79832151,79872564,80164974,80428945,81393044,81427344,81557845,82660873,83046217,83081488,83479993,83584417,83587345,83982513,83995374,84206151,84268614,84756310,85180489,85511209,85907046,85983956,86047753,86288305,86292536,87419444,87585289,87725377,87936902,88190804,88310245,88334126,88361454,88613121,89184961,89207845,89422731,89656405,89765913,89995566,90155221,90540934,91400372,91605762,91763780,91865942,91906196,92171694,92344405,92724875,93198217,93466674,93909745,94073286,94346929,94503670,94592660,94616166,94738881,95038275,95696305,96261681,96265172,96370297,96514734,96641841,96704593,97034545,97079103,97869414,97873441,97986217,98094932,98309014,98594005,98670310,98692453,98895896,99108164,99296913,99346753,...,948367058769847883708100618912354494155173042742729081778859298786239398270897031169118781340040233676336953222841220205657597615864861004141538024661457117810484361514059401731159700162923456039703120950615296703192871836192660008079762468770946532270904755267069012942631562902506055535925454985485960051475321299039671698711942899363712315029385398593725504646239959303496654253767774826121712335417936540218582546817742590355418540203896336435632460208396094972415998703658423892993487922424714928894874785775383576821558375182684068492232271030094436071344444748597759530113656729575976335376124622519291090541069983918132043086839336090310204142892148782361724499047254742174295451486260067518902323217268977343170255229766649078324832877563331545940720922081954867395425191229984060940046296634417860011500830043380620642820954409235348513960610072962323437830048968622620333831996141550504975728457920925908159525408962093757162191439647320364298768395116851923999527538613540572403564739395087775821109067268066895580533997558396347000498233645812987428323623840723381414925436443750763982396619339754319961727196456260660884728398820748046540744032643023405639353306237158521455431673229326904754532401373075271303861864923009255388858064784820448923094110347618791213940117757500583425398751947694366275558906346554294447804228547195177282370321569883903776422257248961330573619433937035699134365690543653242928180942336451287295772340686372696662008146439810992877284013413788332761918894054810509148927925658885098882517478886640372620527647446408451154912381124905756672126563445810749727924036265131973698416264540134666116971148482716304190562917305490239487643796136452445894421175928086999043422818916852037595230111076588408494628231665964854936868975429588402366857991456951386786309056287587082844393029751403666456997339977372532354662889963531486611382007267804818833292029203448068549475951278329064078987152883371167983605812973671979295370938659482550071297916379692265567974756497280470011604715234649049070776443426176046349671884317781443385669021166152914469726806619421937513054029748427101997338829402916047124532941518273259943980972709407644368462650973928582483038044456345021135000052629958156024539218607486209116543995766802026190379907091785330836969988781147611859204451738662273417217277635725500921424002204420255037426551190396328715720558691236562953859992786443146218339036312708304249279989898943516661322385042936570538041301613496060715183549451418119244114204051349711621224897801138868269334391668222551744098989527238525615817542216354999180820213127556907254108765201686147850192716575869162068870976826591163067293841124428476905211501074367141509814779449874565068382775819344875485853415055664645677642287992480228304370049301007700706195066456605475129087942489866194325717320658544674605052351169360782111884005760863932737567748710394088573193000430531286465547650906622989122376868964689078491870850053505103580042111059777881864229782398990601975834839354568044422742301892234575985691698691147269722883969402237397450317861472726107267382816558248532544861148604372102488187396474265373621240815415478130298149739436149685868711043022657061457781544500859182880380245915143579213850092504850170017661492391426196987042229814119159621471008746173502249948635397269445561430476278476096328183260526092435790433724019025582886253017975084134517703558344735706676297686475534707074103354118410194625475711429795127598914542269534896161289486815468476689336882936790884688127458056691647161677411857500858203097083801184369744073484283722987268157764253016071498750506709562046037331791791271738712212360454185590328428780626559063214210695048916775588726340738682187679252791974606097461190462319962465844589178023169554837030902184261835250348657641420694}
23976 667447290817393308141198473422531115389565911603282538820078758127057901753148: {119855,143826,455183,814538,1124663,1411103,1601903,1983119,2125943,2316263,2458919,2491528,2553983,2802969,3550223,3739583,3881519,3952905,4115788,4216432,4743486,4822346,5296919,5438063,5532119,5834284,5869465,6095783,6978508,7043358,7266383,7406519,7550188,7848712,8199263,8235146,8245823,8338919,8384950,8664503,8803919,8829801,9036119,9638903,9834028,9870383,10061940,10140808,10332743,10732736,10781138,10978703,11063306,11255063,11285992,11408409,11667592,11806919,11978500,12074328,12696741,13126041,13251148,13501223,13574632,13583619,14184983,14374200,14457983,14718386,15003119,15271461,15332480,15860968,15909119,16170975,16397138,17249040,17843589,17935919,18249743,18398976,18525448,18592833,18742103,18923308,19286152,19405170,19857503,20054284,20257823,20698848,20841129,20848466,21159465,21189383,21566728,21587543,21696921,21748588,21808463,22134325,22570096,22602119,23261519,23286204,23700119,23831543,24262569,24487583,25391358,25533503,25663919,26086538,26120968,26500072,26561190,26815948,27180119,28128143,28331936,28386023,28600703,28773352,28822538,28930161,28986623,29029463,29386089,29414663,29628383,29812581,29909128,29912906,30185138,30457226,31544138,31796903,31815506,31873428,31878465,32177423,32304119,32370021,32977708,33567119,33625893,33647769,34003696,34195919,34446472,34614119,35114903,35209708,35364863,35766988,35868746,35946983,35988503,36361823,36627969,37230383,37466248,37725119,37807463,37848623,38254158,38549068,38752281,38834063,39343465,39570119,39622538,39628533,39651743,40030825,40108809,40384919,40769548,40798945,40872263,40956338,41277503,41816841,42020786,42149529,42206519,42364648,42930623,43117288,43411919,43493512,43532063,43538668,43604725,43613138,43878026,43932023,44354905,44671826,44729543,45106165,45603119,46196519,46518986,46669943,46852108,47176825,47212158,47308466,47627752,47660229,47965919,48036990,48506949,48621153,48630143,48669143,48930201,48958734,48972705,49719119,50192138,50440953,50453426,50704684,51239456,51340823,51571343,51763223,52108103,52237552,52284865,52325670,52681463,52910303,53058386,53176919,53225886,53235465,53252872,53253023,53433457,53581221,53627368,54096338,54127398,54504119,54608673,54768383,55182863,55446119,55498888,55648946,55814048,56183884,56204950,56563705,56612190,56644583,56681903,56756519,56784496,56855721,57309873,57315119,57426623,57575183,57644388,57882325,57968138,57983063,58116328,58225106,58353023,58605861,58767246,59090543,59237663,59374105,59621505,59641583,59898119,59909481,59971343,60330789,60386336,60883943,61283903,61429103,61552586,61634284,62080919,62091673,62153183,62261519,62432409,62436249,62741838,62790804,63364150,63591743,63596272,63714568,63738805,63873465,63882558,64341863,64519943,64602506,65010325,65052983,65380869,65404581,65493673,65577448,65902103,65937383,66254543,66535919,66781703,66992063,67128266,67445940,67481783,67516703,67638561,67876446,67934628,68006289,68131696,68456519,68935413,69298408,69458790,69551013,70115001,70181519,70524119,70889906,71104703,71138783,71248926,71372428,71545806,71649023,71678889,71887538,71942336,72225119,72696302,73048105,73068119,73384072,73470983,73638503,73738919,73774629,74073119,74089376,74371538,75218965,75468023,75505969,75608138,76036980,76333510,76486566,76554119,76648158,76717919,76742188,77091592,77208119,77436263,77533919,77696519,77960709,78012390,78702481,78764663,79054463,79313032,79951919,80111519,80181145,80334623,80684423,80811383,80838105,80935128,81106112,81162472,81532168,82011119,82387583,82557081,82640872,82798825,83075961,83213216,83323703,83350548,83921546,83974703,84163538,84437543,84742828,84820150,85019737,85264105,85723919,86227312,86482919,86533909,86701192,86728041,87394705,87537119,87657726,87746783,87776138,87836519,87926183,88045705,88343663,88373423,88702390,89085263,89173919,89227161,89344465,89763119,89901253,89968583,90262758,90404786,90640919,91052019,91118666,91224453,91244376,91307781,91600212,91652665,91723689,91944119,92231519,92305586,92678668,92970981,93133345,93316343,93514919,93562390,93614868,93961226,94417703,94921919,95572101,95701103,95833569,95906305,95950223,96079538,96217374,96351969,96359884,96363983,97005726,97115893,97251338,97349663,97485743,97538841,97668265,98001023,98082119,98102248,98153193,98652746,98942663,99322293,99358590,99840705,...,1422550588154771825562150928368531741232759564114093622668288948179359097406345546753678172010060350514505429834261830308486396423797291506212307036992185676715726542271089102596739550244385184059554681425922945054789307754288990012119643703156419798406357132900603519413947344353759083303888182478228940077212981948559507548067914349045568472544078097890588256969359938955244981380651662239182568503126904810327873820226613885533127810305844504653448690312594142458623998055487635839490231883637072393342312178663075365232337562774026102738348406545141654107016667122896639295170485094363964503064186933778936635811604975877198064630259004135465306214338223173542586748570882113261443177229390101278353484825903466014755382844649973617487249316344997318911081383122932301093137786844976091410069444951626790017251245065070930964231431613853022770940915109443485156745073452933930500747994212325757463592686881388862239288113443140635743287159470980546448152592675277885999291307920310858605347109092631663731663600902100343370800996337594520500747350468719481142485435761085072122388154665626145973594929009631479942590794684390991327092598231122069811116048964535108459029959355737782183147509843990357131798602059612906955792797384513883083287097177230673384641165521428186820910176636250875138098127921541549413338359519831441671706342820792765923555482354825855664633385873441995860429150905553548701548535815479864392271413504676930943658511029559044993012219659716489315926020120682499142878341082215763723391888488327648323776218329960558930791471169612676732368571687358635008189845168716124591886054397697960547624396810201999175456722724074456285844375958235359231465694204678668841631763892130498565134228375278056392845166614882612741942347498947282405303463144382603550286987185427080179463584431380624266589544627105499685496009966058798531994334945297229917073010901707228249938043805172102824213926917493596118480729325056751975408719460507968943056407989223825106946874569538398351962134745920705017407072851973573606164665139264069524507826476672165078503531749229371704590209929132906269581044622640652996008244104374070686799412277409889915971459064111466552693976460892873724557066684517531702500078944937234036808827911229313674815993650203039285569860637677996255454983171721417788806677607993410125825916453588251382136003306630382556139826785594493073580838036854844430789989179664719327508554469062456373919984848415274991983577564404855807061952420244091072775324177127178866171306077024567431837346701708302404001587502333827616148484290857788423726313324532498771230319691335360881163147802529221775289074863803743103306465239886744600940761686642715357817251611550712264722169174811847602574163729017313228780122583496968516463431988720342456555073951511551059292599684908212693631913734799291488575980987817011907578526754041173167826008641295899106351623065591132859789500645796929698321476359934483683565303447033617737806275080257655370063166589666822796344673598485902963752259031852066634113452838351863978537548036720904584325954103356096175476792209089160901074224837372798817291722906558153732281094711398060431861223123217195447224609154224528803066564533985592186672316751288774320570368872715368820775138757275255026492238587139295480563344721178739432206513119260253374922953095904168342145714417714144492274890789138653685650586028538374329379526962626201776555337517103560014446529713302060611155031177615291938213567144692691398371813404302344241934230223202715034005324405186327032191187085037470742516117786251287304645625701776554616110226425584480902236646379524107248125760064343069055997687686907608068318540681278385492643170939838594821316042573375163383089511108023281518879187961909146191785693479943698766883767034754332255546353276392752875522986462131041}
23977 669791108040938458970364227844558122147818592357310640832714342829805817773004: {23977,191768,215739,1221807,2180087,3114410,3689378,3737292,5144735,5270540,6173682,6324648,6867623,7115229,7233519,7292855,8723135,8751426,8873207,9391144,9437735,9739103,9810890,9875243,10209143,10467762,10565037,11325282,11773068,11877803,12292535,12352719,12577425,12610583,12676010,13184879,13415920,13878347,14107490,14584490,14613287,14751042,14973125,15092910,15211212,16099104,16171707,16209767,16474679,16563935,16594959,16875383,16928988,16968290,17483327,17501388,17613563,17967750,18111492,18631343,18870887,19165600,19186079,19748834,19826210,19876722,20353367,20361948,20757803,21352523,21501383,21561300,22053239,22077579,22855847,22998720,23156810,23187563,23593994,23647979,23654135,23791452,24107690,24531968,24595707,24730178,24783263,24790444,25067855,25176683,25316882,25468223,25656503,25873560,26170487,26790779,26958410,27185735,27214127,27423623,27598464,27788172,27880226,28212620,28384962,28604543,28929228,29107755,29643767,29753234,30081426,30140663,31048272,31272699,32223563,32350092,32622882,32651210,32782967,32946602,33125090,33185087,33340298,33519935,33521879,33855144,34820843,34929306,35414920,35842379,35966690,36254783,36431483,36809867,37069067,37320866,37386410,37727627,38056823,38087037,38209778,38573548,39129807,39181452,39256199,39750108,39841785,40223922,40228394,40362479,40587599,41222135,41549927,41674283,41773607,42123359,42256103,42435887,42497904,42504620,42701474,43058090,43160028,43233807,43689323,44012135,44708735,44834524,44863692,44869359,45096146,45277707,45685839,45707858,45781583,46596263,46744919,46832810,46842407,46923947,47292002,47316207,47723259,47810142,47941394,48186335,48275627,48561527,48837292,49466562,49596683,49686434,50434319,50470079,50851787,50961935,51005544,51308714,51455447,51530882,51669708,52025963,52814562,52838044,52955810,53224967,53478412,53650482,53803119,53894903,53896610,54024599,54366890,54423335,54683879,55242122,55646738,55750247,55755788,56159378,56199372,57380267,57381237,57504203,57663218,57823602,58241579,58265762,58565135,59028359,59181167,59305403,59433807,59534690,59615234,60636107,60867287,61154322,61434507,62618879,62703863,62905979,62949544,63031179,63380855,63546972,64049320,64138994,64211063,64675932,64828204,64845602,65148674,65154479,65240268,65278312,65296940,65308002,65419707,65568143,65817039,65821463,66566090,67007739,67034210,67254604,67455143,68432423,68686706,68825159,69373610,69398903,69598667,69767560,69778479,70229855,70278162,70818237,70962699,70967848,70980620,70998383,71017163,71340647,71441628,71814578,72055485,72169864,72180383,72227594,72310763,72645410,72811564,73264847,73438101,73447082,75288207,75295442,75448898,75482920,75680139,75807628,75863543,76057026,76413164,76859184,77042855,77272823,77979527,78141148,78356328,78488505,79106786,79495340,79587579,79643210,79838829,79879308,80185682,80328266,80383463,80441052,81144507,81168386,81191097,81741314,81853367,81924938,81971810,83243212,83248332,83473419,83486999,83655784,83721072,84275826,84307425,84716207,84918285,85164620,85176744,85296887,85350386,85839467,85861343,86250443,86466582,86623010,86754482,86952207,87174492,87206108,87337659,87592703,88150869,88937423,89215535,89927920,90162839,90184748,90501928,90579504,90675052,91131842,91730090,91913884,92060498,92251562,92328879,92451426,92611720,92734684,92793794,93184658,93486668,93525803,93775403,94112757,94186206,94354847,94998568,95046225,95201723,95269163,95394408,95571852,95823837,95927735,96110423,96364490,96802079,96903759,97176743,97994603,98313383,98366172,98966999,99141290,99620687,99894146,...,1896734117539695767416201237824708988310346085485458163557718597572478796541794062338237562680080467352673906445682440411315195231729722008283076049322914235620968723028118803462319400325846912079406241901230593406385743672385320016159524937541893064541809510534138025885263125805012111071850909970971920102950642598079343397423885798727424630058770797187451009292479918606993308507535549652243424670835873080437165093635485180710837080407792672871264920416792189944831997407316847785986975844849429857789749571550767153643116750365368136984464542060188872142688889497195519060227313459151952670752249245038582181082139967836264086173678672180620408285784297564723448998094509484348590902972520135037804646434537954686340510459533298156649665755126663091881441844163909734790850382459968121880092593268835720023001660086761241285641908818470697027921220145924646875660097937245240667663992283101009951456915841851816319050817924187514324382879294640728597536790233703847999055077227081144807129478790175551642218134536133791161067995116792694000996467291625974856647247681446762829850872887501527964793238679508639923454392912521321769456797641496093081488065286046811278706612474317042910863346458653809509064802746150542607723729846018510777716129569640897846188220695237582427880235515001166850797503895388732551117812693108588895608457094390354564740643139767807552844514497922661147238867874071398268731381087306485856361884672902574591544681372745393324016292879621985754568026827576665523837788109621018297855851317770197765034957773280745241055294892816902309824762249811513344253126891621499455848072530263947396832529080269332233942296965432608381125834610980478975287592272904891788842351856173998086845637833704075190460222153176816989256463331929709873737950859176804733715982913902773572618112575174165688786059502807332913994679954745064709325779927062973222764014535609637666584058406896137098951902556658128157974305766742335967211625947343958590741877318965100142595832759384531135949512994560940023209430469298098141552886852352092699343768635562886771338042332305828939453613238843875026108059496854203994677658805832094249065883036546519887961945418815288736925301947857164966076088912690042270000105259916312049078437214972418233087991533604052380759814183570661673939977562295223718408903477324546834434555271451001842848004408840510074853102380792657431441117382473125907719985572886292436678072625416608498559979797887033322644770085873141076082603226992121430367098902836238488228408102699423242449795602277736538668783336445103488197979054477051231635084432709998361640426255113814508217530403372295700385433151738324137741953653182326134587682248856953810423002148734283019629558899749130136765551638689750971706830111329291355284575984960456608740098602015401412390132913210950258175884979732388651434641317089349210104702338721564223768011521727865475135497420788177146386000861062572931095301813245978244753737929378156983741700107010207160084222119555763728459564797981203951669678709136088845484603784469151971383397382294539445767938804474794900635722945452214534765633116497065089722297208744204976374792948530747242481630830956260596299478872299371737422086045314122915563089001718365760760491830287158427700185009700340035322984782852393974084459628238319242942017492347004499897270794538891122860952556952192656366521052184871580867448038051165772506035950168269035407116689471413352595372951069414148206708236820389250951422859590255197829084539069792322578973630936953378673765873581769376254916113383294323354823715001716406194167602368739488146968567445974536315528506032142997501013419124092074663583582543477424424720908371180656857561253118126428421390097833551177452681477364375358505583949212194922380924639924931689178356046339109674061804368523670500697315282841388}
23978 672143102631243723942858313719349357130588962108115034532858396139909444290678: {167797,239710,287652,910366,1458937,1602037,1629076,1888021,2249326,2601721,2822206,3203806,3597877,3966238,4251886,4632526,4671615,4917838,4983056,5014837,5107966,5534067,5605938,6588175,7100446,7266997,7479166,7763038,7905810,8217251,8231576,8246521,8432864,8944021,9260523,9361657,9486972,9644692,9917497,10333621,10593838,10876126,11064238,11668568,11738930,12191566,12816757,13127139,13957016,14086716,14186197,14532766,14716335,14813038,15100376,15697424,15701643,16398526,16470292,16491646,16497721,16677838,16769900,16903477,16987923,17329006,17443477,17607838,17659602,17847721,18072238,18788437,19014015,19277806,19668056,19740766,20123880,20281616,20665486,20925397,21161235,21191221,21465472,21562276,21589417,21876735,21957406,22126563,22126612,22251637,22510126,22571984,22639365,22816818,23335184,23613838,23957000,24148656,25393482,25452435,25535737,26252082,26502296,26706997,26951625,27002446,27149264,27167238,27355177,28130617,28369966,28748400,28915966,29032021,29436772,29623251,29739315,29815083,30006238,30057877,30542922,30664960,30988055,31721936,31818238,32222521,32341950,32602357,32794276,34366357,34498080,34735215,35265775,35390991,35687178,35742457,35871838,35991721,36161535,36499486,36797952,37050896,37095267,37185666,37484206,37846616,37852021,37975323,38572304,38810340,39696121,39715006,40108568,40437615,40515646,40551157,41281237,41397696,41682258,41696932,41820339,42318930,42378766,42577443,42974677,43133456,43175086,43393842,43497176,43616926,43696117,44268650,44295337,44629851,45122139,45140192,45204238,46523038,46572408,46674217,47146537,47400238,47500021,47663086,48216935,48322297,48525138,48673621,48907477,48934323,48975166,48976815,49419903,49687635,50010447,50782716,51067006,51327838,51345577,51576121,52173076,52241936,52393959,53000144,53122380,53130775,53631896,53950035,54360238,55080851,55981299,56043155,56079615,56256286,56663872,56687221,56772046,57118523,57201406,57314667,57546704,57645076,57860322,57973246,58025557,58058926,58690837,58772178,58829326,59132917,59256766,59625162,59818256,59825812,60335883,60342591,60342697,60370276,60914452,61046615,61434937,62096867,63088276,63148631,63275221,63593806,63631012,63746856,63756930,63812521,64052211,64348021,64354846,64587135,64608238,64740042,65094697,65943721,65955416,66047555,66848015,66998521,67134238,67251786,67295538,67523221,67644219,67732597,68007392,68391838,68561787,68892944,69228238,69694735,70229806,70249215,70419416,70729726,70938003,70941097,71145721,71533976,71656021,71715213,71737492,71893966,71912091,71977006,72468757,72723646,72873397,73198811,73255938,73879957,73980217,74199843,74460766,74529651,74879317,74932496,75177721,75450238,75614926,75697246,76508316,76963071,77098136,77296323,77504562,77668126,77931577,78126121,78417397,78686930,78804757,79140238,79189187,79221843,79245076,79257066,79303486,79383637,79433715,80061650,80217618,80475723,80724277,80769838,80844915,81035255,81539096,81550335,81597890,81621175,81673237,81744526,81912676,82427221,82555006,82708777,82863183,83083177,83123747,83363221,83470107,83633682,84014137,84041572,84068255,84239067,84299058,84413038,84569257,84729296,85861246,86234576,86494827,86735403,86823838,86854357,86987024,87064126,87077336,87209450,87226276,87398643,87755797,87756052,87864046,88382521,88560937,88709810,88725775,89005717,89094457,89234327,89302035,89343652,89422851,89459086,90212330,91014455,91028521,91206238,91463221,91731483,92393038,93012023,93037972,93339886,93609721,93704216,94353650,94424316,94455721,94616932,94759535,94876021,95022059,95255504,95320458,95516455,95711221,95931838,96073980,96208491,96539221,97013898,97242306,97260286,97268403,97338286,97676435,97723011,97860402,97917468,97945410,97962003,99369175,99438238,99849135,...,2845101176309543651124301856737063482465519128228187245336577896358718194812691093507356344020120701029010859668523660616972792847594583012424614073984371353431453084542178205193479100488770368119109362851845890109578615508577980024239287406312839596812714265801207038827894688707518166607776364956457880154425963897119015096135828698091136945088156195781176513938719877910489962761303324478365137006253809620655747640453227771066255620611689009306897380625188284917247996110975271678980463767274144786684624357326150730464675125548052205476696813090283308214033334245793278590340970188727929006128373867557873271623209951754396129260518008270930612428676446347085173497141764226522886354458780202556706969651806932029510765689299947234974498632689994637822162766245864602186275573689952182820138889903253580034502490130141861928462863227706045541881830218886970313490146905867861001495988424651514927185373762777724478576226886281271486574318941961092896305185350555771998582615840621717210694218185263327463327201804200686741601992675189041001494700937438962284970871522170144244776309331252291947189858019262959885181589368781982654185196462244139622232097929070216918059918711475564366295019687980714263597204119225813911585594769027766166574194354461346769282331042856373641820353272501750276196255843083098826676719039662883343412685641585531847110964709651711329266771746883991720858301811107097403097071630959728784542827009353861887317022059118089986024439319432978631852040241364998285756682164431527446783776976655296647552436659921117861582942339225353464737143374717270016379690337432249183772108795395921095248793620403998350913445448148912571688751916470718462931388409357337683263527784260997130268456750556112785690333229765225483884694997894564810606926288765207100573974370854160358927168862761248533179089254210999370992019932117597063988669890594459834146021803414456499876087610344205648427853834987192236961458650113503950817438921015937886112815978447650213893749139076796703924269491841410034814145703947147212329330278528139049015652953344330157007063498458743409180419858265812539162089245281305992016488208748141373598824554819779831942918128222933105387952921785747449114133369035063405000157889874468073617655822458627349631987300406078571139721275355992510909966343442835577613355215986820251651832907176502764272006613260765112279653571188986147161676073709688861579978359329438655017108938124912747839969696830549983967155128809711614123904840488182145550648354254357732342612154049134863674693403416604808003175004667655232296968581715576847452626649064997542460639382670721762326295605058443550578149727607486206612930479773489201881523373285430715634503223101424529444338349623695205148327458034626457560245166993937032926863977440684913110147903023102118585199369816425387263827469598582977151961975634023815157053508082346335652017282591798212703246131182265719579001291593859396642952719868967367130606894067235475612550160515310740126333179333645592689347196971805927504518063704133268226905676703727957075096073441809168651908206712192350953584418178321802148449674745597634583445813116307464562189422796120863722446246434390894449218308449057606133129067971184373344633502577548641140737745430737641550277514550510052984477174278590961126689442357478864413026238520506749845906191808336684291428835428288984549781578277307371301172057076748658759053925252403553110675034207120028893059426604121222310062355230583876427134289385382796743626808604688483868460446405430068010648810372654064382374170074941485032235572502574609291251403553109232220452851168961804473292759048214496251520128686138111995375373815216136637081362556770985286341879677189642632085146750326766179022216046563037758375923818292383571386959887397533767534069508664511092706552785505751045972924262082}
23979 674503302933778492855710515636806439544151157168780616025739510621996521331596: {47954,359565,383536,431478,1365549,2036345,2443614,2898797,3373989,4233309,4360174,4805709,5949357,6228820,6377829,6948789,7202629,7376757,7378756,7474584,7661949,8408907,10209997,10289470,10541080,10650669,11218749,11509849,11644557,11858715,12055865,12212389,12347364,12649296,13212829,13735246,14094181,14230458,14467038,14585710,15516941,15890757,16314189,16596357,17209549,17446270,17502852,17608395,17746414,18287349,18782288,18875470,19478206,19540189,19621780,19750486,20418286,20587865,20816029,20935524,20962375,21130074,21542009,21799149,22219557,22650564,22674457,22984237,23189509,23377541,23546136,23755606,24531949,24585070,24597789,24705438,24737469,25016757,25154850,25221166,25352020,25845629,25993509,26369758,26411757,26489403,26831840,26952845,27108357,27425917,27658265,27698941,27756694,28214980,28427801,28916709,29168980,29226574,29502084,29611149,29946250,30098809,30185820,30415789,30422424,30998229,32198208,32343414,32419534,32936109,32949358,33115789,33127870,33131269,33189918,33693269,33750766,33765189,33805369,33857976,33936580,34225227,34966654,35002776,35094997,35227126,35420757,35913317,35935500,36119849,36222984,36795965,37262686,37741774,38023309,38060029,38090223,38331200,38372158,39039341,39378123,39497668,39652420,39753444,40503669,40706734,40723896,40750857,40992845,41515606,42554949,42705046,43002766,43055389,43122600,43373949,43722437,44106478,44155158,44178157,45009357,45170317,45573557,45711694,45814383,45997440,46313620,46375126,46688149,46840541,46927909,47187988,47295958,47308270,47582904,47727357,48215380,48512925,49063936,49166861,49191414,49460356,49566526,49580888,50135710,50353366,50633764,50936446,51313006,51747120,52121165,52340974,53071637,53530767,53581558,53807757,53916820,54371470,54428254,54749229,54847246,55196928,55576344,55760452,55778499,56226309,56425240,56769924,57209086,57509029,57710989,57763301,57858456,58215510,58455181,59281277,59287534,59482589,59506468,59572509,59646457,60162852,60281326,60318329,60773469,61485229,61616989,62096544,62523387,62545398,62592229,63478395,63568149,64447126,64470169,64700184,64762629,65090763,65216345,65245764,65302420,65425389,65565934,65893204,66199829,66250180,66370174,66402975,66680596,67039870,67043758,67059257,67460869,67710288,67806357,68766589,68830957,69641686,69784557,69858612,69963449,70829840,71100357,71346709,71494629,71684758,71933380,72056345,72509566,72787707,72862966,73216517,73462749,73619734,74138134,74641732,74772820,74782265,75053669,75455254,75462845,76113646,76143065,76174074,76192669,76419556,76600509,76991757,77147096,78259614,78362904,78512398,78860345,79500216,79538765,79683570,80447844,80456788,80724958,81042229,81175198,81540357,81991189,82444270,83099854,83348566,83547214,84246718,84384429,84512206,84871774,84995808,85009240,85158069,85304089,85402948,85802109,86116180,86320056,86467614,86790483,86959869,87088389,87153589,87378646,88024270,88158267,88243989,88733197,88771897,88885149,89417470,89437743,89669048,89671865,89727384,89738718,89840341,90192292,90488381,90555414,91371678,91373549,91415716,91563166,93192526,93231941,93489838,93665620,93684814,93847894,94584004,94609049,94632414,95390709,95446518,95620284,95635395,95882788,96118489,96372670,96532269,96551254,96912357,97110063,97123054,97674584,98321797,98933124,99056345,99193366,99372868,...,4267651764464315476686452785105595223698278692342280868004866844538077292219036640261034516030181051543516289502785490925459189271391874518636921110976557030147179626813267307790218650733155552178664044277768835164367923262866970036358931109469259395219071398701810558241842033061277249911664547434686820231638945845678522644203743047136705417632234293671764770908079816865734944141954986717547705509380714430983621460679841656599383430917533513960346070937782427375871994166462907518470695650911217180026936535989226095697012688322078308215045219635424962321050001368689917885511455283091893509192560801336809907434814927631594193890777012406395918643014669520627760245712646339784329531688170303835060454477710398044266148533949920852461747949034991956733244149368796903279413360534928274230208334854880370051753735195212792892694294841559068312822745328330455470235220358801791502243982636977272390778060644166586717864340329421907229861478412941639344457778025833657997873923760932575816041327277894991194990802706301030112402989012783561502242051406158443427456307283255216367164463996878437920784787028894439827772384053172973981277794693366209433348146893605325377089878067213346549442529531971071395395806178838720867378392153541649249861291531692020153923496564284560462730529908752625414294383764624648240015078559494325015119028462378297770666447064477566993900157620325987581287452716660646104645607446439593176814240514030792830975533088677134979036658979149467947778060362047497428635023246647291170175665464982944971328654989881676792374413508838030197105715062075905024569535506148373775658163193093881642873190430605997526370168172223368857533127874706077694397082614036006524895291676391495695402685125834169178535499844647838225827042496841847215910389433147810650860961556281240538390753294141872799768633881316499056488029898176395595983004835891689751219032705121684749814131415516308472641780752480788355442187975170255926226158381523906829169223967671475320840623708615195055886404237762115052221218555920720818493995417792208573523479430016495235510595247688115113770629787398718808743133867921958988024732313122212060398236832229669747914377192334399658081929382678621173671200053552595107500236834811702110426483733687941024447980950609117856709581913033988766364949515164253366420032823980230377477749360764754146408009919891147668419480356783479220742514110564533292369967538994157982525663407187369121759954545245824975950732693214567421185857260732273218325972531381536598513918231073702295512040105124907212004762507001482848445452872573365271178939973597496313690959074006082643489443407587665325867224591411229309919395719660233802822285059928146073451754834652136794166507524435542807722491187051939686340367750490905549390295966161027369665221854534653177877799054724638080895741204397874465727942963451035722735580262123519503478025923887697319054869196773398579368501937390789094964429079803451050695910341100853213418825240772966110189499769000468389034020795457708891256777095556199902340358515055591935612644110162713752977862310068288526430376627267482703222674512118396451875168719674461196843284134194181295583669369651586341673827462673586409199693601956776560016950253866322961711106618146106462325416271825765079476715761417886441690034163536218296619539357780760124768859287712505026437143253142433476824672367415961056951758085615122988138580887878605329666012551310680043339589139906181833465093532845875814640701434078074195115440212907032725802690669608145102015973215558981096573561255112412227548353358753861913936877105329663848330679276753442706709939138572321744377280193029207167993063060722824204955622043835156477929512819515784463948127720125490149268533324069844556637563885727438575357080439831096300651301104262996766639059829178258626568959386393123}
23980 676871737391630590701945147649187881304820894772267083645120990479389719994605: {71931,335594,479420,551011,575304,647217,1697539,1820732,2411779,2554411,2917874,3204074,3258152,3550819,3665421,3776042,3976771,4260379,4498652,4543699,5203442,5391931,5533051,5644412,5674099,6407612,6540261,6940291,7195754,7361059,7501171,7786025,7932476,8200651,8340331,8503772,9223445,9265052,9343230,9835676,9872059,9966112,10029674,10149619,10215932,10426891,10565419,11068134,11211876,12222139,13176350,13183771,14200892,14533994,14958332,14960299,15096451,15232531,15368539,15434205,15526076,15811620,15911851,16318579,16434502,16463152,16493042,16865728,17888042,18521046,18723314,18973944,19013539,19289384,19834994,19949971,20350219,20602869,20667242,21187676,21345687,21679699,21700557,21752252,21878565,21944731,22128476,22473931,23337136,23397259,23477860,24383132,24527225,25233331,25363939,25633514,26169405,26254278,26536171,26619621,27184891,27914032,27960979,28173432,28313205,28372394,28605739,29065532,29120251,29217309,29248699,29432670,29505379,29625729,29626076,30200752,30627429,30784459,30911971,31394848,31403286,31690025,31695111,31802539,32436499,32797052,32940584,32983292,32995442,33355676,33539800,33699019,33806954,33950659,33975846,34658012,34886954,35204539,35215676,35268725,35319204,35454451,35633409,35695442,36077971,36144476,36461225,36575491,36877605,37058157,37576874,37732275,37814251,37831749,38028030,38061139,38307739,38554051,38555612,39336112,39481532,39554637,39658891,40247760,40392211,40563232,40879651,41330972,41365939,41635041,41729899,41850794,41972179,42093211,42214171,42322470,42382442,42420725,42930944,42938419,43124552,43178834,43383277,43753470,43839861,43914812,44019931,44253126,44253224,44503274,44919375,45020252,45143968,45278730,45333859,45633636,45690691,45928219,46520779,46670368,46757299,47227676,47914000,48053011,48170371,48297312,48515121,48629301,48756091,49223371,49372085,49424037,49565525,49691805,49784877,49805851,50502451,50626149,50786964,50904870,51071474,51427219,51657691,52002859,52117771,52232611,52449981,52504164,52840689,52920139,53004592,53262931,53413994,53903250,54004892,54298528,54334476,54710354,55193179,55894029,56206651,56261234,56612661,56655211,56739932,56767171,57496800,57558237,57660259,57831932,57892025,58064042,58437931,58873544,58984985,59101699,59246502,59322379,59478630,59630166,59982691,60012476,60115754,60269225,60749779,61060101,61085844,61329920,61825445,61976110,62165011,62273371,62273409,62381659,62922019,63292205,63443872,63636476,63675499,64057569,64425451,64445042,64504149,64683900,65204714,65588552,66159717,66232737,66337699,66654139,66864739,67396025,67503709,68226619,68567541,68732714,68996160,69470430,69562689,69700565,70531550,70781982,70943937,70962405,71374356,71484914,71743676,71983442,72323070,72340699,72998972,73048819,73595904,73753411,73787121,74101792,74190534,74349789,74371332,74383085,74968412,75203565,75350659,75530049,75693232,75704042,75950646,76043659,76339579,76404669,76634851,76733131,76969509,77144608,77223451,77516779,77620680,77711971,78460417,78511461,78586771,78780379,79392242,79430012,79744099,79935979,80031811,80217136,80223259,80372337,80875230,81031292,81102314,81365899,81557205,81628025,81642381,81933331,82121899,82270869,82366505,82562474,82795392,82812725,83340571,83350745,83364516,83393864,83526979,83640678,83713099,83898931,83966861,84177139,84362251,84637860,84757532,85154886,85465261,85813629,85949354,86106451,86266912,86288539,86350172,86470339,86787684,86994352,87233852,87323265,87392234,87914371,88004011,88361851,88537300,88590674,88931301,89259702,89916725,90244278,90280384,90309379,90408476,90421989,90484699,90921739,92049619,92308171,92466577,93046076,93144816,93302165,93348434,93466025,93587221,93818097,94099891,94293074,94437571,94800476,95000042,95193139,95326172,95524445,96025819,96433870,96644594,96670689,97050276,97347242,97572629,97814954,97868646,97950332,97953630,98076019,98157091,98348901,98480659,98722579,98839806,99124339,99375270,99555261,...,5690202352619087302248603713474126964931038256456374490673155792717436389625382187014712688040241402058021719337047321233945585695189166024849228147968742706862906169084356410386958200977540736238218725703691780219157231017155960048478574812625679193625428531602414077655789377415036333215552729912915760308851927794238030192271657396182273890176312391562353027877439755820979925522606648956730274012507619241311495280906455542132511241223378018613794761250376569834495992221950543357960927534548289573369248714652301460929350251096104410953393626180566616428066668491586557180681940377455858012256747735115746543246419903508792258521036016541861224857352892694170346994283528453045772708917560405113413939303613864059021531378599894469948997265379989275644325532491729204372551147379904365640277779806507160069004980260283723856925726455412091083763660437773940626980293811735722002991976849303029854370747525555448957152453772562542973148637883922185792610370701111543997165231681243434421388436370526654926654403608401373483203985350378082002989401874877924569941743044340288489552618662504583894379716038525919770363178737563965308370392924488279244464195858140433836119837422951128732590039375961428527194408238451627823171189538055532333148388708922693538564662085712747283640706545003500552392511686166197653353438079325766686825371283171063694221929419303422658533543493767983441716603622214194806194143261919457569085654018707723774634044118236179972048878638865957263704080482729996571513364328863054893567553953310593295104873319842235723165884678450706929474286749434540032759380674864498367544217590791842190497587240807996701826890896297825143377503832941436925862776818714675366527055568521994260536913501112225571380666459530450967769389995789129621213852577530414201147948741708320717854337725522497066358178508421998741984039864235194127977339781188919668292043606828912999752175220688411296855707669974384473922917300227007901634877842031875772225631956895300427787498278153593407848538983682820069628291407894294424658660557056278098031305906688660314014126996917486818360839716531625078324178490562611984032976417496282747197649109639559663885836256445866210775905843571494898228266738070126810000315779748936147235311644917254699263974600812157142279442550711985021819932686885671155226710431973640503303665814353005528544013226521530224559307142377972294323352147419377723159956718658877310034217876249825495679939393661099967934310257619423228247809680976364291101296708508715464685224308098269727349386806833209616006350009335310464593937163431153694905253298129995084921278765341443524652591210116887101156299455214972413225860959546978403763046746570861431269006446202849058888676699247390410296654916069252915120490333987874065853727954881369826220295806046204237170398739632850774527654939197165954303923951268047630314107016164692671304034565183596425406492262364531439158002583187718793285905439737934734261213788134470951225100321030621480252666358667291185378694393943611855009036127408266536453811353407455914150192146883618337303816413424384701907168836356643604296899349491195269166891626232614929124378845592241727444892492868781788898436616898115212266258135942368746689267005155097282281475490861475283100555029101020105968954348557181922253378884714957728826052477041013499691812383616673368582857670856577969099563156554614742602344114153497317518107850504807106221350068414240057786118853208242444620124710461167752854268578770765593487253617209376967736920892810860136021297620745308128764748340149882970064471145005149218582502807106218464440905702337923608946585518096428992503040257372276223990750747630432273274162725113541970572683759354379285264170293500653532358044432093126075516751847636584767142773919774795067535068139017329022185413105571011502091945848524164}
23981 679248434545840284780484598874408188083325555942905702173823172944487619020650: {23981,95908,503391,599275,719130,767072,862956,2275915,2731098,2850883,3425851,4072690,4376811,4806111,4887228,5623315,5664063,5797594,6747978,7055515,7805163,8009515,8466618,8720348,9611418,9915595,10629715,10791979,10793631,11581315,11898714,12294595,12457640,12755658,12769915,13897578,13943611,14014845,14405258,14753514,14757512,14949168,15044511,15323898,15518239,15960643,16042939,16602201,16817814,16878211,17751115,18338203,18665119,18697915,19109683,19407595,19764525,20419994,20578940,21082160,21301338,21543811,21800991,21808831,22437498,22553731,23019698,23289114,23717430,24076363,24111730,24424778,24651753,24694728,24739563,25298592,25472491,25847791,26425658,26484595,26518459,26832063,27190315,27470492,27628003,27660595,27781569,28084971,28188362,28430179,28460916,28823011,28838851,28934076,29171420,29347325,29654251,29752491,29814523,30388339,30478915,31000863,31033882,31781514,32430943,32628378,33192714,34419098,34892540,35005704,35216790,35492828,35916331,36331915,36437599,36574698,36732763,37032595,37564576,37657183,37733983,37750940,38450271,38721571,38956412,39007471,39080378,39243560,39381417,39500972,39563359,40174219,40369243,40836572,40880923,40996315,41125051,41175730,41229115,41632058,41694595,41871048,41924750,42260148,42443011,42558591,43084018,43322515,43388143,43395883,43598298,44019595,44149005,44439114,45180595,45301128,45348914,45968474,46041811,46137403,46379018,46755082,47092272,47104929,47363899,47511212,48194515,48859843,49063898,49170140,49195578,49351915,49410876,49474938,49493163,50033514,50309700,50442332,50551843,50704040,50710431,50963769,51514351,51516091,51663715,51671971,51691258,51906451,51987018,52330431,52557679,52739516,52766383,52823514,52978806,53076091,53543163,53663680,53905690,54216714,54693043,54851834,54893515,55316530,55357003,55397882,55419811,55493083,55513388,56275315,56365311,56429960,56855602,57042045,57389983,57452683,57833418,58251391,58337960,58453148,59004168,59034595,59222298,59286271,59315359,59721379,59803579,59892500,60197618,60371640,60581023,60831578,60844848,61127971,61996458,62714371,62776191,63483705,63573663,64396416,64686828,64768251,64839068,65488159,65579131,65630205,65872218,65898716,65952571,66231578,66255740,66262538,66379689,66379836,66754911,67386538,67414603,67501532,67506115,67530378,67610738,67715952,67873160,67918095,68443891,68450454,69482659,69610351,69933308,70005552,70059691,70189994,70454252,70841514,70924915,71790751,71826634,71871000,72239698,72289915,72445968,72969631,73222699,73591930,73737631,74525372,74638363,75015595,75483548,76046618,76120058,76149343,76180446,76310971,76357305,76607211,76662400,76744316,77190931,78078682,78194443,78756246,78995336,79304840,79506888,79545595,79595683,79909951,80120991,80854875,81007338,81185371,81413468,81447792,81501714,81985690,82065531,83031212,84391851,85109898,85202011,85410092,85945411,86005532,86110778,86245200,86528611,86747898,87096063,87444874,87607531,88212956,88310316,88356314,88869753,89217945,89445249,89679595,89773891,90002131,90018714,90168991,90173631,90340634,91147114,91248715,91302883,91423388,91628766,91994880,92627240,92750252,92964165,93376298,93681082,93710515,93855818,94375976,94591916,94616540,95165808,95285311,95454714,95990203,96430760,96667563,96728959,97025850,97807071,98127872,98333722,98382828,98920712,99133052,99161776,99287515,99637411,...,8535303528928630953372905570211190447396557384684561736009733689076154584438073280522069032060362103087032579005570981850918378542783749037273842221953114060294359253626534615580437301466311104357328088555537670328735846525733940072717862218938518790438142797403621116483684066122554499823329094869373640463277891691357045288407486094273410835264468587343529541816159633731469888283909973435095411018761428861967242921359683313198766861835067027920692141875564854751743988332925815036941391301822434360053873071978452191394025376644156616430090439270849924642100002737379835771022910566183787018385121602673619814869629855263188387781554024812791837286029339041255520491425292679568659063376340607670120908955420796088532297067899841704923495898069983913466488298737593806558826721069856548460416669709760740103507470390425585785388589683118136625645490656660910940470440717603583004487965273954544781556121288333173435728680658843814459722956825883278688915556051667315995747847521865151632082654555789982389981605412602060224805978025567123004484102812316886854912614566510432734328927993756875841569574057788879655544768106345947962555589386732418866696293787210650754179756134426693098885059063942142790791612357677441734756784307083298499722583063384040307846993128569120925461059817505250828588767529249296480030157118988650030238056924756595541332894128955133987800315240651975162574905433321292209291214892879186353628481028061585661951066177354269958073317958298935895556120724094994857270046493294582340351330929965889942657309979763353584748827017676060394211430124151810049139071012296747551316326386187763285746380861211995052740336344446737715066255749412155388794165228072013049790583352782991390805370251668338357070999689295676451654084993683694431820778866295621301721923112562481076781506588283745599537267762632998112976059796352791191966009671783379502438065410243369499628262831032616945283561504961576710884375950340511852452316763047813658338447935342950641681247417230390111772808475524230104442437111841441636987990835584417147046958860032990471021190495376230227541259574797437617486267735843917976049464626244424120796473664459339495828754384668799316163858765357242347342400107105190215000473669623404220852967467375882048895961901218235713419163826067977532729899030328506732840065647960460754955498721529508292816019839782295336838960713566958441485028221129066584739935077988315965051326814374738243519909090491649951901465386429134842371714521464546436651945062763073197027836462147404591024080210249814424009525014002965696890905745146730542357879947194992627381918148012165286978886815175330651734449182822458619838791439320467605644570119856292146903509669304273588333015048871085615444982374103879372680735500981811098780591932322054739330443709069306355755598109449276161791482408795748931455885926902071445471160524247039006956051847775394638109738393546797158737003874781578189928858159606902101391820682201706426837650481545932220378999538000936778068041590915417782513554191112399804680717030111183871225288220325427505955724620136577052860753254534965406445349024236792903750337439348922393686568268388362591167338739303172683347654925347172818399387203913553120033900507732645923422213236292212924650832543651530158953431522835772883380068327072436593239078715561520249537718575425010052874286506284866953649344734831922113903516171230245976277161775757210659332025102621360086679178279812363666930187065691751629281402868156148390230880425814065451605381339216290204031946431117962193147122510224824455096706717507723827873754210659327696661358553506885413419878277144643488754560386058414335986126121445648409911244087670312955859025639031568927896255440250980298537066648139689113275127771454877150714160879662192601302602208525993533278119658356517253137918772786246}
23982 681633423035735427216879942189579588493479004554504089965032949494041819020009: {119885,143862,263681,671188,958840,1078695,1102022,1150608,1268237,1294434,1697681,1745357,1983617,2126477,2459537,2602157,2697197,3395078,3551117,3598481,3641464,3882497,4096647,4307981,4591277,4823558,5108822,5439437,5674577,5721581,5835748,6109035,6238097,6408148,6516304,6940877,7101638,7330842,7361681,7408397,7552084,7953542,8247917,8341037,8480657,8520758,8696391,8806157,8945537,8997304,9038417,9087398,9177677,9455981,9872897,9919181,10121967,10196717,10406884,10427777,10783862,10900435,11066102,11288824,11348198,11947757,12269057,12699927,12815224,12912823,13080522,13880582,14325197,14391508,14417127,14722118,15002342,15006977,15415181,15572050,15864952,16094081,16401302,16680662,17007544,17848071,17940557,18446890,18530104,18686460,18746957,19059857,19133487,19416977,19671352,19744118,19932224,20059348,20299238,20396417,20431864,20846367,20853782,21017681,21130838,21194897,21416237,21607887,21681581,21946637,22130271,22136268,22343681,22423752,22985847,23179757,23399297,23443181,23837777,24319181,24444278,25226721,25670657,25723675,25801037,26352700,26367542,26711681,27618797,28006481,28401784,29067988,29122817,29294081,29550737,29916664,29920598,30192902,30465062,30629991,30737078,30787181,30868410,31052152,31623240,31805357,31823702,31952007,32312717,32439377,32637158,32692481,32869004,32926304,32986084,33113681,33323981,33656247,33702017,33731456,34338115,34529547,34748717,34933671,35576145,35776084,35831981,36081197,36167595,36464275,36637167,37042092,37446628,37858817,37947888,38027078,38064557,38352257,38578768,38967437,39638487,39669988,39703277,39899942,40151681,40395857,40700438,41205738,41334484,41369681,41410157,41733677,42282543,42375352,42580481,42691374,42982481,43359398,43401114,43504504,43543937,43615675,43757130,43889462,44256952,44366035,44741777,44947862,45020237,45734477,46169681,46550823,46564481,46674272,46761581,46794518,46800977,46955720,47155181,47188675,47508737,47672271,48695515,48760577,48766264,48942567,49054450,49266797,49376215,49499981,49789071,50042957,50466662,50507117,50727878,51045715,51239681,51267028,51431981,51470417,51628647,51662477,52237457,52338810,52508556,52825185,52925057,53072342,53239242,54369782,54632717,54862047,55424081,55828064,55921958,56346864,56626410,56697857,56744788,56772497,57211478,57442817,57702797,58131064,58240502,58434618,58497398,58620567,58865340,59010758,59107277,59144081,59251458,59252152,59364737,59389015,59658497,59915117,60098177,60401504,60427181,61254858,61462675,61568918,61763595,61823942,62279297,62387597,62423681,62448087,62789696,62806572,62887125,62928017,62963981,63052915,63287297,63359057,63380050,63390222,63605078,64039181,64360337,64431617,64626027,64872998,64894157,65397447,65594104,65881168,65924395,65966584,65990884,66658671,66660557,66711352,67011437,67079600,67396481,67398038,67613908,67901318,67951692,68023371,68267981,68580497,68952711,68996177,69120919,69316024,69391735,69479681,69568527,69773908,69789677,70132623,70409078,70431352,70537450,70544717,70638408,70818317,70908902,71023181,71266818,71390884,71670017,72155942,72288952,72347777,72381581,72887681,72922450,73066435,73089617,73150982,73257677,73593197,73595847,73755210,73760657,73793367,74116314,74212407,74361857,74865625,75050271,75153748,75464550,75589517,75628502,75663498,76056060,76122278,76615478,77035181,77108102,77111224,77231117,77536887,77557037,77980527,78011981,78497681,78626897,78672224,78820481,78963064,79109274,79235271,79317782,79468209,79752077,79975937,80231297,80263181,80495520,80784422,80858535,81048835,81126464,81325071,81374081,81405677,81759302,81973037,82130177,82277751,82373395,82578979,82661944,82731878,82819675,82974795,83096823,83270082,83380097,83459798,83535437,83566481,83701588,83752577,83944358,84186422,84216557,84370817,84376915,84428342,84644940,84764884,84841450,85283403,85750157,85861888,85876838,86249104,86357668,86509457,86555623,86750127,86766554,86781581,86932481,87383981,87416635,87506940,87564077,87679722,87829624,87863597,87953297,88039862,88067815,88400717,88506252,88506448,88579181,88609087,88833447,89006548,89024081,89201537,89757679,89838750,89879117,90040504,90084497,90230957,90287936,90296427,90557460,90667718,90960257,91105517,91247367,91267272,91366481,91381382,91856438,92059217,92087981,92947181,92994687,93041558,93156715,93340736,93514598,93544337,93629357,93940481,94222481,94354435,94455352,94475597,94531757,94951937,95035757,95231057,95828000,95930395,96106022,96340742,96477197,96594624,97030242,97258602,97380737,97512182,97516877,97580791,97788557,98113517,98446742,98744170,98759981,98808327,98848074,99054737,99131050,99233563,99347367,99383610,99393807,99569754,99611702,...,12802955293392946430059358355316785671094836077026842604014600533614231876657109920783103548090543154630548868508356472776377567814175623555910763332929671090441538880439801923370655952199466656535992132833306505493103769788600910109076793328407778185657214196105431674725526099183831749734993642304060460694916837537035567932611229141410116252896702881015294312724239450597204832425864960152643116528142143292950864382039524969798150292752600541881038212813347282127615982499388722555412086952733651540080809607967678287091038064966234924645135658906274886963150004106069753656534365849275680527577682404010429722304444782894782581672331037219187755929044008561883280737137939019352988595064510911505181363433131194132798445601849762557385243847104975870199732448106390709838240081604784822690625004564641110155261205585638378678082884524677204938468235984991366410705661076405374506731947910931817172334181932499760153593020988265721689584435238824918033373334077500973993621771282797727448123981833684973584972408118903090337208967038350684506726154218475330282368921849765649101493391990635313762354361086683319483317152159518921943833384080098628300044440680815976131269634201640039648327588595913214186187418536516162602135176460624947749583874595076060461770489692853681388191589726257876242883151293873944720045235678482975045357085387134893311999341193432700981700472860977962743862358149981938313936822339318779530442721542092378492926599266031404937109976937448403843334181086142492285905069739941873510526996394948834913985964969645030377123240526514090591317145186227715073708606518445121326974489579281644928619571291817992579110504516670106572599383624118233083191247842108019574685875029174487086208055377502507535606499533943514677481127490525541647731168299443431952582884668843721615172259882425618399305901643949497169464089694529186787949014507675069253657098115365054249442394246548925417925342257442365066326563925510767778678475144571720487507671903014425962521871125845585167659212713286345156663655667762162455481986253376625720570438290049485706531785743064345341311889362196156426229401603765876964074196939366636181194710496689009243743131577003198974245788148035863521013600160657785322500710504435106331279451201063823073343942851827353570128745739101966299094848545492760099260098471940691132433248082294262439224029759673443005258441070350437662227542331693599877109902616982473947576990221562107365279863635737474927852198079643702263557571782196819654977917594144609795541754693221106886536120315374721636014287521004448545336358617720095813536819920792488941072877222018247930468330222762995977601673774233687929758187158980701408466855179784438220355264503956410382499522573306628423167473561155819059021103251472716648170887898483082108995665563603959533633397164173914242687223613193623397183828890353107168206740786370558510434077771663091957164607590320195738105505812172367284893287239410353152087731023302559640256475722318898330568499307001405167102062386373126673770331286668599707021075545166775806837932330488141258933586930204865579291129881802448109668023536355189355625506159023383590529852402582543886751008108954759025021482388020759227599080805870329680050850761598968885133319854438319386976248815477295238430147284253659325070102490608654889858618073342280374306577863137515079311429759427300430474017102247883170855274256845368964415742663635815988998037653932040130018767419718545500395280598537627443922104302234222585346320638721098177408072008824435306047919646676943289720683765337236682645060076261585741810631315988991544992037830260328120129817415716965233131840579087621503979189182168472614866866131505469433788538458547353391844383160376470447805599972209533669912691657182315726071241319493288901953903312788990299917179487534775879706878159179369}
23983 684026731599267736729482743590005614815847022162006397701090981068493710839890: {47962,191816,215793,838985,1006782,1198550,1438260,1534144,1653033,1725912,1941651,3186281,4048733,4551830,5092617,5462196,5701766,6851702,7235337,7294685,7663233,7872641,8010185,8145380,8753622,9440105,9612222,9774456,9877721,10652457,10996263,11213321,11246630,11318417,11328126,11595188,11930313,12754157,12781137,13008605,13495956,13631097,13881833,14111030,14881601,15051341,15610326,16019030,16044281,16175793,16213841,16478813,16599153,16933236,17022297,17061377,17212433,17440696,17877881,17989385,18339737,18959837,19190897,19222836,19620783,19831190,20763017,20820873,21259430,21357881,21583958,21587262,22058777,22083177,22503513,23162630,23358075,23653913,23797428,24078377,24589190,24601953,24851561,24915280,25020993,25074185,25511316,25539830,25662941,25774073,26177081,27043577,27170633,27220961,27670335,27795156,27887222,28029690,28810516,29507028,29515024,29616177,29651213,29817017,29898336,30089022,30103853,30390881,30448857,30647796,31036478,31280673,31339997,31696257,31870697,31921286,32080241,32085878,32231657,32731421,32940875,33204402,33530297,33635628,33756422,35045933,35502230,36334985,36440657,36666417,36676406,36819113,37078433,37330238,37395830,38066441,38219366,38724833,38815190,39266057,39359981,39529050,39551313,40106273,40839988,41086255,41157880,41232605,41560361,42133937,42164320,42266717,42446573,42602676,42670481,43062617,43087622,43601982,43617662,43700297,44207021,44720105,44874996,44880897,45107462,45289353,45697593,46039396,46105617,46302615,46412441,46578228,46756697,46808285,46854173,47434860,47735553,48152726,48223460,48287753,48501281,48602333,48849556,48955737,49303506,49389456,49479126,49587485,50597184,50864681,50944982,51668105,51695582,51845633,52039097,52145321,52851316,52969190,53036918,53664126,54038177,54380630,54438473,54940984,55149281,55256006,55321190,55563138,55975517,56169942,56303201,56376724,56517233,56860358,56921832,57040617,57394841,57646022,57677702,57720761,57868152,58342840,58372433,58464977,58694650,59196041,59308502,59320337,59504982,59629046,59808617,59849913,60651521,60776678,60882653,60957830,61050657,61414937,61627433,61808607,62001726,62021681,62067764,62634617,63252833,63563028,64037061,64083785,64480973,64861886,65039097,65101671,65256756,65635695,65834193,66385428,67109741,67421793,67472321,68319497,68778113,68838196,68842553,69092681,69616193,69785080,70011408,70065593,70191777,70433580,70676957,70930985,70985656,71439917,71832662,72329201,72663830,72872057,72875198,73149396,73465526,73581675,73711697,73743857,74065190,75129152,75163481,75314366,75467966,75501880,75699993,76091817,76850921,76900542,77168477,77395097,77443142,77912824,77999213,78014942,78160756,78487120,78508215,78561101,78762834,78785441,79001944,79126718,79608513,79858863,80348438,80403761,80738486,81554673,81673144,81761846,81992630,82250102,82351460,82458230,82488605,82648433,83264116,83389190,83742096,83849500,83882937,84517385,84520296,84886022,84939615,85117182,85145633,85817217,86168036,86272217,86535917,86645030,86776286,86791766,87144473,87196596,87217385,87360753,87651927,87746097,87754841,88039190,88298010,88516137,88581041,88877187,88878228,88959881,89238605,90009713,90185693,90361190,90602256,90688697,90697828,91882287,91936948,92083622,92274806,92302733,92353377,92735913,92758036,93510164,93942185,94184544,94209858,94306721,94439033,94508561,94727798,95022424,95070075,95085333,95225777,95407617,96389030,96826697,97309497,97719686,98127796,98340280,98359217,98391156,98703830,98821752,98949876,98986326,99294881,99645773,...,17070607057857261906745811140422380894793114769369123472019467378152309168876146561044138064120724206174065158011141963701836757085567498074547684443906228120588718507253069231160874602932622208714656177111075340657471693051467880145435724437877037580876285594807242232967368132245108999646658189738747280926555783382714090576814972188546821670528937174687059083632319267462939776567819946870190822037522857723934485842719366626397533723670134055841384283751129709503487976665851630073882782603644868720107746143956904382788050753288313232860180878541699849284200005474759671542045821132367574036770243205347239629739259710526376775563108049625583674572058678082511040982850585359137318126752681215340241817910841592177064594135799683409846991796139967826932976597475187613117653442139713096920833339419521480207014940780851171570777179366236273251290981313321821880940881435207166008975930547909089563112242576666346871457361317687628919445913651766557377831112103334631991495695043730303264165309111579964779963210825204120449611956051134246008968205624633773709825229133020865468657855987513751683139148115577759311089536212691895925111178773464837733392587574421301508359512268853386197770118127884285581583224715354883469513568614166596999445166126768080615693986257138241850922119635010501657177535058498592960060314237977300060476113849513191082665788257910267975600630481303950325149810866642584418582429785758372707256962056123171323902132354708539916146635916597871791112241448189989714540092986589164680702661859931779885314619959526707169497654035352120788422860248303620098278142024593495102632652772375526571492761722423990105480672688893475430132511498824310777588330456144026099581166705565982781610740503336676714141999378591352903308169987367388863641557732591242603443846225124962153563013176567491199074535525265996225952119592705582383932019343566759004876130820486738999256525662065233890567123009923153421768751900681023704904633526095627316676895870685901283362494834460780223545616951048460208884874223682883273975981671168834294093917720065980942042380990752460455082519149594875234972535471687835952098929252488848241592947328918678991657508769337598632327717530714484694684800214210380430000947339246808441705934934751764097791923802436471426838327652135955065459798060657013465680131295920921509910997443059016585632039679564590673677921427133916882970056442258133169479870155976631930102653628749476487039818180983299903802930772858269684743429042929092873303890125526146394055672924294809182048160420499628848019050028005931393781811490293461084715759894389985254763836296024330573957773630350661303468898365644917239677582878640935211289140239712584293807019338608547176666030097742171230889964748207758745361471001963622197561183864644109478660887418138612711511196218898552323582964817591497862911771853804142890942321048494078013912103695550789276219476787093594317474007749563156379857716319213804202783641364403412853675300963091864440757999076001873556136083181830835565027108382224799609361434060222367742450576440650855011911449240273154105721506509069930812890698048473585807500674878697844787373136536776725182334677478606345366695309850694345636798774407827106240067801015465291846844426472584425849301665087303060317906863045671545766760136654144873186478157431123040499075437150850020105748573012569733907298689469663844227807032342460491952554323551514421318664050205242720173358356559624727333860374131383503258562805736312296780461760851628130903210762678432580408063892862235924386294245020449648910193413435015447655747508421318655393322717107013770826839756554289286977509120772116828671972252242891296819822488175340625911718051278063137855792510880501960597074133296279378226550255542909754301428321759324385202605204417051987066556239316713034506275837545572492}
23984 686428389073350223488538685191266544609834406727238238306032674093490168629595: {71943,167839,239770,287724,311623,527362,1342376,1510173,1602439,1745503,1797825,1917680,2157390,2204044,2301216,2317039,2536474,2588868,3029839,3395362,3490714,3598783,3740839,3967234,4252954,4919074,5016103,5204314,5298703,5394394,5722063,6790156,6827745,7102234,7196962,7268839,7282928,7409023,7764994,8193294,8552649,8615962,9182554,9647116,9920023,10181725,10217644,10277553,10878874,11349154,11443039,11443162,11671496,12218070,12476194,12816296,13032608,13130433,13881754,14203276,14326423,14418333,14493985,14661684,14723362,14816794,15104168,15260609,15688303,15907084,16095463,16495834,16682074,16869945,16961314,16992189,17041516,17042983,17392782,17582839,17612314,17891074,17994608,18076834,18174796,18256039,18355354,18793303,18911962,19730743,19745794,19838362,20243934,20393434,20813768,20855554,21166545,21567724,21800870,22132204,22257439,22577648,22696396,22786063,23415489,23445223,23895514,24028545,24365023,24538114,25399854,25630448,25672903,25825646,26161044,27362383,27761164,28650394,28783016,28834254,29444236,29746785,30004684,30013954,30830362,31144100,31729904,31889145,32188162,32375937,32380893,32737543,32802604,33361324,33368983,34015088,34375543,34626463,34743945,35696142,35881114,36013145,36883785,36893780,37060208,37372920,37493914,37738663,38119714,38266974,38309745,38833954,39342704,39488236,39864448,40118696,40562143,40598476,40792834,40863728,41170903,41413903,41692734,41707564,41830833,42035362,42044535,42261676,42389794,42624583,42832474,43215774,43363162,43708039,43828063,43893274,44260542,44272536,44687362,44847504,45133533,45971694,46213423,46359514,46554717,46798594,46805263,46886362,47675554,47881929,48073361,48128817,48638362,48888556,49806603,50086303,50453442,50634633,51049985,51244423,51341314,51447350,51475183,51602074,52705400,52735084,53082439,53253345,53423362,53766943,54675583,55014609,55237594,55466863,55995357,56012962,56093745,56803568,56927023,57329049,57549245,57596839,58135976,58222785,58245634,58588162,59101474,59149663,59260039,59293575,59833328,59841196,60279325,60385804,60930124,61061945,61259982,61452439,61474156,61574362,61736820,62104304,62104543,62112449,62429623,62969983,63246480,63610714,63616039,63647404,63904014,64625434,64631433,64878754,65274316,65384962,65402973,65426493,65738008,65852608,65972168,66064145,66227362,66647962,67312494,67404034,67437943,67462912,67661193,68173721,68676230,69002863,69059094,69126701,69497434,69520903,69830863,69867342,70470905,70551583,71064223,71152290,71464001,71552168,71663962,72162394,72229089,72335190,72388663,72928550,73274334,73901743,73955259,74002039,74084184,74102263,74218689,74893256,75001039,75717634,75895776,76054156,76129114,76417473,76704514,77075503,77157536,77543373,77584705,77934874,77954839,79276974,79339976,79406554,79453785,79555377,79799884,80271223,80303362,80496189,80791714,80843839,81400876,81413863,81570945,82411476,82668968,82739362,82820314,82884009,82981785,83144621,83344707,83467354,83574943,84254913,84565086,84595039,84750704,85160962,85290537,85382748,85964962,86047745,86469033,86516553,86718796,86790463,86802228,87009008,87087874,87231350,87422983,87514260,87778924,87782839,87872623,88041975,88274081,88513904,88588303,88677439,88732070,88962753,89122039,89210743,89257473,89443569,89483554,89895724,89917783,90040474,91165017,91436745,91468954,92097583,92294153,92339362,93002589,93101646,93128962,93348544,93523162,93554143,93589036,93601954,93911440,93978583,94310362,94377350,95017474,95073703,95344542,97148429,97292829,97391030,97521154,97532528,97636039,97700945,97885134,98042839,98108900,98533594,98752430,98999962,99332503,99578142,99652039,...,25605910586785892860118716710633571342189672154053685208029201067228463753314219841566207096181086309261097737016712945552755135628351247111821526665859342180883077760879603846741311904398933313071984265666613010986207539577201820218153586656815556371314428392210863349451052198367663499469987284608120921389833675074071135865222458282820232505793405762030588625448478901194409664851729920305286233056284286585901728764079049939596300585505201083762076425626694564255231964998777445110824173905467303080161619215935356574182076129932469849290271317812549773926300008212139507313068731698551361055155364808020859444608889565789565163344662074438375511858088017123766561474275878038705977190129021823010362726866262388265596891203699525114770487694209951740399464896212781419676480163209569645381250009129282220310522411171276757356165769049354409876936471969982732821411322152810749013463895821863634344668363864999520307186041976531443379168870477649836066746668155001947987243542565595454896247963667369947169944816237806180674417934076701369013452308436950660564737843699531298202986783981270627524708722173366638966634304319037843887666768160197256600088881361631952262539268403280079296655177191826428372374837073032325204270352921249895499167749190152120923540979385707362776383179452515752485766302587747889440090471356965950090714170774269786623998682386865401963400945721955925487724716299963876627873644678637559060885443084184756985853198532062809874219953874896807686668362172284984571810139479883747021053992789897669827971929939290060754246481053028181182634290372455430147417213036890242653948979158563289857239142583635985158221009033340213145198767248236466166382495684216039149371750058348974172416110755005015071212999067887029354962254981051083295462336598886863905165769337687443230344519764851236798611803287898994338928179389058373575898029015350138507314196230730108498884788493097850835850684514884730132653127851021535557356950289143440975015343806028851925043742251691170335318425426572690313327311335524324910963972506753251441140876580098971413063571486128690682623778724392312852458803207531753928148393878733272362389420993378018487486263154006397948491576296071727042027200321315570645001421008870212662558902402127646146687885703654707140257491478203932598189697090985520198520196943881382264866496164588524878448059519346886010516882140700875324455084663387199754219805233964947895153980443124214730559727271474949855704396159287404527115143564393639309955835188289219591083509386442213773072240630749443272028575042008897090672717235440191627073639841584977882145754444036495860936660445525991955203347548467375859516374317961402816933710359568876440710529007912820764999045146613256846334947122311638118042206502945433296341775796966164217991331127207919067266794328347828485374447226387246794367657780706214336413481572741117020868155543326183914329215180640391476211011624344734569786574478820706304175462046605119280512951444637796661136998614002810334204124772746253347540662573337199414042151090333551613675864660976282517867173860409731158582259763604896219336047072710378711251012318046767181059704805165087773502016217909518050042964776041518455198161611740659360101701523197937770266639708876638773952497630954590476860294568507318650140204981217309779717236146684560748613155726275030158622859518854600860948034204495766341710548513690737928831485327271631977996075307864080260037534839437091000790561197075254887844208604468445170692641277442196354816144017648870612095839293353886579441367530674473365290120152523171483621262631977983089984075660520656240259634831433930466263681158175243007958378364336945229733732263010938867577076917094706783688766320752940895611199944419067339825383314364631452142482638986577803907806625577980599834358975069551759413756318358738}
23985 688838424394195760928592981126508238161123018338108464237297425222249291805418: {95924,359655,383632,431586,791043,1174579,1677970,2013564,2397100,2755055,2876520,3068288,3236085,3306066,3451824,3804711,3883302,4479959,5093043,5236071,5950851,6372562,6379431,7378611,7806471,8091591,8097466,8487695,9103660,10185234,10212559,10653351,10795443,10924392,11214259,11403532,11647491,12058895,12289941,12772055,12923943,13216147,13376311,13703404,13773831,14470674,14589370,15326466,15745282,16020370,16290760,16318311,16822087,17023731,17164743,17507244,17754095,18212047,18327105,18714291,18880210,18961423,19224444,19548912,19755442,19883855,20822631,21301895,21304914,21992526,22085043,22225191,22426642,22493260,22636834,22656252,22680151,22718495,23190376,23860626,23980727,24538111,24743751,25023111,25185139,25441971,25508314,25562274,26017210,26089173,26418471,26522903,26836611,26959655,26991912,27115251,27262194,27432799,27533031,27665255,27763666,28222060,28367943,28370495,29145071,29618691,29757543,29763202,30102682,30365901,30423427,30590151,31220652,31283331,31873363,31960591,32038060,32088562,32351586,32427682,32587967,32701305,32734159,32957626,33139591,33198306,33866472,34044594,34122754,34424866,34701455,34881392,35103859,35755762,35843271,35854387,35978770,36128927,36679474,36805295,36807171,37505855,37919674,38099781,38381794,38445672,38738469,38930125,39241566,39662380,41003255,41526034,41641746,41701655,42518860,42715762,42975591,43066231,43167916,43174524,43251381,43990567,44117554,44166354,44189251,45007026,45020931,45181663,45293303,45585011,46117225,46245543,46325260,46716150,47307826,47594856,48156754,48282243,48868031,49178380,49203906,49360295,49407847,49613299,49703122,49830560,50041986,50148370,50748095,50868979,51022632,51079660,51325882,51548146,52134455,52354162,52827095,53544213,53821671,53912959,54087154,54341266,54441922,55340670,55502399,55590312,55774444,56059380,56240871,57179571,57400461,57462311,57520757,57621032,57725647,58250931,59014056,59030048,59232354,59296259,59302426,59634034,59796672,60178044,60207706,60333527,60781762,60848183,60897714,61110695,61189251,61295592,61500751,62072956,62539101,62561346,62608147,62679994,62927107,63053043,63392514,63584691,63741394,63842572,64160482,64171756,64248711,64463314,64823661,65044743,65176423,65462842,65531599,65839911,65881750,65918855,66216467,66390813,66408804,67031043,67060594,67076111,67271256,67512844,67571039,68957541,69422479,69494303,69539271,69769087,70091866,70197891,70329543,70682911,71004460,71513331,71737999,71802803,72335347,72389927,72669970,72881314,72957543,73332834,73352812,73638226,74156866,74650871,74660476,74791660,74801495,74924791,75482255,75680163,76132882,76162655,76438732,76842695,77011971,77171025,77403111,77449666,77630380,78532114,78719962,79058100,79102626,79559255,80135043,80212546,80951123,81592895,81607151,81679976,82172510,82315760,82465210,82856391,83120722,84019443,84267874,84328640,84533434,84893146,85205352,85340962,86125234,86175244,87151831,87175591,87203964,87235324,87368451,87400594,87882243,88414042,88652211,89440210,89717299,89749992,89761794,89863027,90184259,90214924,90578706,91395186,91616519,91889973,92078792,92211234,92361543,92605230,92824882,93156456,93513394,93616570,93708346,93806899,94632887,94656431,94869720,95067695,95416071,95471106,95856021,96305452,96446920,96575506,96938151,97002562,97204666,97318131,97503559,97699112,97911474,98077443,98607012,98778912,98958252,99174970,99303379,99341043,99749855,99971943,...,38408865880178839290178075065950357013284508231080527812043801600842695629971329762349310644271629463891646605525069418329132703442526870667732289998789013271324616641319405770111967856598399969607976398499919516479311309365802730327230379985223334556971642588316295024176578297551495249204980926912181382084750512611106703797833687424230348758690108643045882938172718351791614497277594880457929349584426429878852593146118574909394450878257801625643114638440041846382847947498166167666236260858200954620242428823903034861273114194898704773935406976718824660889450012318209260969603097547827041582733047212031289166913334348684347745016993111657563267787132025685649842211413817058058965785193532734515544090299393582398395336805549287672155731541314927610599197344319172129514720244814354468071875013693923330465783616756915136034248653574031614815404707954974099232116983229216123520195843732795451517002545797499280460779062964797165068753305716474754100120002232502921980865313848393182344371945501054920754917224356709271011626901115052053520178462655425990847106765549296947304480175971905941287063083260049958449951456478556765831500152240295884900133322042447928393808902604920118944982765787739642558562255609548487806405529381874843248751623785228181385311469078561044164574769178773628728649453881621834160135707035448925136071256161404679935998023580298102945101418582933888231587074449945814941810467017956338591328164626277135478779797798094214811329930812345211530002543258427476857715209219825620531580989184846504741957894908935091131369721579542271773951435558683145221125819555335363980923468737844934785858713875453977737331513550010319717798150872354699249573743526324058724057625087523461258624166132507522606819498601830544032443382471576624943193504898330295857748654006531164845516779647276855197917704931848491508392269083587560363847043523025207760971294346095162748327182739646776253776026772327095198979691776532303336035425433715161462523015709043277887565613377536755502977638139859035469990967003286487366445958760129877161711314870148457119595357229193036023935668086588469278688204811297630892222590818099908543584131490067027731229394731009596922737364444107590563040800481973355967502131513305318993838353603191469220031828555482060710386237217305898897284545636478280297780295415822073397299744246882787317672089279020329015775323211051312986682626995080799631329707850947421842730970664686322095839590907212424783556594238931106790672715346590458964933752782433829386625264079663320659608360946124164908042862563013345636009075853160287440610459762377466823218631666054743791404990668288987932805021322701063789274561476942104225400565539353314661065793511869231147498567719919885269502420683467457177063309754418149944512663695449246326986996690811878600900191492521742728061670839580870191551486671059321504620222359111675531302233314989275871493822770960587214316517436517101854679861718231059456263193069907678920769427166956694991705497921004215501306187159119380021310993860005799121063226635500327420513796991464423776800760790614596737873389645407344329004070609065568066876518477070150771589557207747631660253024326864277075064447164062277682797242417610989040152552284796906655399959563314958160928746446431885715290441852760977975210307471825964669575854220026841122919733589412545237934289278281901291422051306743649512565822770536106893247227990907447966994112961796120390056302259155636501185841795612882331766312906702667756038961916163294532224216026473305918143758940030829869162051296011710047935180228784757225431893947966974634976113490780984360389452247150895699395521737262864511937567546505417844600598394516408301365615375642060175533149481129411343416799916628601009738074971546947178213723958479866705861709938366970899751538462604327639120634477538107}
23986 691256866597656808387549964785742650205839523456324864225616651079229653230937: {119905,143886,335678,479540,575448,623246,647379,694753,1054724,2516955,2555053,2684752,2697649,2996375,3020346,3204878,3491006,3595650,3835360,3977773,4119649,4314780,4408088,4602432,4634078,4686433,4959099,5072948,5177736,5534449,5675533,5824953,6059678,6790724,6981428,7197566,7481678,7503073,7934468,8342449,8482093,8505908,9039949,9558843,9838148,9874573,10032206,10408628,10568113,10597406,10788788,11379575,11444126,12146199,13324273,13580312,13655490,13735213,14204468,14254415,14393924,14418673,14537678,14565856,14818046,15100333,15236449,15277851,15372493,15529988,16386588,17105298,17129255,17231924,18365108,18481633,19152493,19294232,19840046,20291579,20363450,20435288,20488813,20555106,21419953,21706011,21757748,21817933,21884055,22611949,22698308,22886078,22886324,22989699,23271649,23342992,23617923,24030555,24060913,24436140,24952388,25370593,25632592,26065216,26260866,27709873,27763508,28116575,28320315,28406552,28613293,28652846,28836666,28987970,28999393,29256433,29323368,29446724,29633163,29633588,29641453,30208336,30521218,30920173,31047649,31376606,31814168,31957371,32190926,32988789,32991668,33364148,33639963,33739890,33922628,33955251,33984378,34083032,34085966,34785564,34838449,35165678,35224628,35277575,35782148,35790939,35989216,36153668,36212173,36349592,36512078,36585313,36710708,37586606,37823924,38071393,38262471,38343411,39025815,39461486,39491588,39676724,40047575,40487868,40786868,40893291,41498593,41627536,41645499,41711108,42104653,42225649,42333090,42950113,43135448,43431649,43601740,44264408,44514878,44644803,45154023,45155296,45392792,45572126,46830978,46890446,47791028,48057090,48132843,48183649,48527379,48641523,48730046,49076228,49353649,49436439,49577975,49797459,50418403,50632333,50799708,51066891,51184131,51260896,51345806,51637299,51651292,51787213,52132273,52247149,52322088,53148575,53633643,53959895,53968155,54724766,55019211,55208653,55522328,55772593,56783149,56879511,57300788,57566032,57572691,57668508,57906575,58862349,58888472,59493570,59999713,60009368,60027908,60109549,60767053,61094833,61472975,61639693,61660724,62288200,62289051,62291149,62399473,62462619,63371149,63459808,63778290,63849575,64073643,64376324,64443949,64550833,64751874,64761786,65403313,65475086,65605208,66176331,66249531,66722648,66737966,67510539,68030176,68663149,68751086,69078733,69252926,69286093,69487890,69718055,70074225,70961739,71392284,71469979,71762228,72026290,72235131,73272049,73674673,73767570,73787560,73805859,74120416,74376493,74554683,74745840,74987828,75062979,75222555,75477326,76164973,76239428,76533948,76619490,76755949,76988823,77322219,77591195,77667908,77735149,78531243,78685408,78707149,78976472,79728896,79768033,79803215,80055853,80151649,80214695,80237392,80568943,80724913,81105649,81124286,81130731,81196952,81511899,81585668,81662883,81727456,82052449,82341806,82827806,83011005,83385468,83415128,83661666,84017293,84070724,84089070,84391055,84480433,84523352,84779588,85249166,85486723,85664948,86314993,86431548,86726324,87416078,87656126,87786548,87941473,88031149,88521084,88545072,88755575,88848531,88923949,88953639,89374724,89451051,89695008,90267066,90311559,91172643,91346571,91691015,91943388,92426846,92489803,92719028,93109434,93325595,93489575,93597188,93610526,93772724,93842019,94019991,94551649,95088771,95351108,95473933,95548415,95612091,95763858,96139213,96146722,96240723,96257634,96694971,96964333,97037975,97276724,97537633,97777112,98188513,98194263,98659267,98673649,98822625,99613206,...,51211821173571785720237433421267142684379344308107370416058402134456927506628439683132414192362172618522195474033425891105510271256702494223643053331718684361766155521759207693482623808797866626143968531333226021972415079154403640436307173313631112742628856784421726698902104396735326998939974569216241842779667350148142271730444916565640465011586811524061177250896957802388819329703459840610572466112568573171803457528158099879192601171010402167524152851253389128510463929997554890221648347810934606160323238431870713148364152259864939698580542635625099547852600016424279014626137463397102722110310729616041718889217779131579130326689324148876751023716176034247533122948551756077411954380258043646020725453732524776531193782407399050229540975388419903480798929792425562839352960326419139290762500018258564440621044822342553514712331538098708819753872943939965465642822644305621498026927791643727268689336727729999040614372083953062886758337740955299672133493336310003895974487085131190909792495927334739894339889632475612361348835868153402738026904616873901321129475687399062596405973567962541255049417444346733277933268608638075687775333536320394513200177762723263904525078536806560158593310354383652856744749674146064650408540705842499790998335498380304241847081958771414725552766358905031504971532605175495778880180942713931900181428341548539573247997364773730803926801891443911850975449432599927753255747289357275118121770886168369513971706397064125619748439907749793615373336724344569969143620278959767494042107985579795339655943859878580121508492962106056362365268580744910860294834426073780485307897958317126579714478285167271970316442018066680426290397534496472932332764991368432078298743500116697948344832221510010030142425998135774058709924509962102166590924673197773727810331538675374886460689039529702473597223606575797988677856358778116747151796058030700277014628392461460216997769576986195701671701369029769460265306255702043071114713900578286881950030687612057703850087484503382340670636850853145380626654622671048649821927945013506502882281753160197942826127142972257381365247557448784625704917606415063507856296787757466544724778841986756036974972526308012795896983152592143454084054400642631141290002842017740425325117804804255292293375771407309414280514982956407865196379394181971040397040393887762764529732992329177049756896119038693772021033764281401750648910169326774399508439610467929895790307960886248429461119454542949899711408792318574809054230287128787278619911670376578439182167018772884427546144481261498886544057150084017794181345434470880383254147279683169955764291508888072991721873320891051983910406695096934751719032748635922805633867420719137752881421058015825641529998090293226513692669894244623276236084413005890866592683551593932328435982662254415838134533588656695656970748894452774493588735315561412428672826963145482234041736311086652367828658430361280782952422023248689469139573148957641412608350924093210238561025902889275593322273997228005620668408249545492506695081325146674398828084302180667103227351729321952565035734347720819462317164519527209792438672094145420757422502024636093534362119409610330175547004032435819036100085929552083036910396323223481318720203403046395875540533279417753277547904995261909180953720589137014637300280409962434619559434472293369121497226311452550060317245719037709201721896068408991532683421097027381475857662970654543263955992150615728160520075069678874182001581122394150509775688417208936890341385282554884392709632288035297741224191678586707773158882735061348946730580240305046342967242525263955966179968151321041312480519269662867860932527362316350486015916756728673890459467464526021877735154153834189413567377532641505881791222399888838134679650766628729262904284965277973155607815613251155961199668717950139103518827512636717476}
23987 693683744819566288458724800474454924764817754959312084493789825710863895536433: {191848,215829,503517,599425,719310,767264,863172,934869,1318405,1582086,2349158,3355940,3857077,4027128,4530519,4794200,4807317,5007013,5236509,5294497,5393475,5510110,5753040,6136576,6341185,6472170,6612132,6903648,6951117,7609422,7766604,8488405,8726785,8959918,9089517,9918085,10186086,10472142,10632385,10796349,11222517,11882773,11901702,12297685,12371293,12745124,12758862,13010785,13485985,14757222,15048309,15522133,15612942,15896109,16183182,16194932,16678513,16882453,16975390,17166189,17620933,17755585,17880877,17992405,18207320,19412485,20124289,20370468,20425118,20483235,21306702,21539905,21549217,21590886,21806517,21814309,21848784,22227069,22428518,22807064,22956385,23294982,23385373,23982733,24117790,24579882,24793633,24855733,25478893,25544110,25657947,25847886,25854277,26432294,26752622,26801989,27048109,27197185,27406808,27547662,27837397,28093813,28372885,28437313,28607905,28846093,28941348,29147509,29178740,29760069,29822653,30545175,30652932,30832659,31190485,31345249,31490564,31805893,32040740,32581520,32590693,32636622,33644174,33704557,34047462,34329117,34329486,34704385,34835413,35014488,35508190,36269953,36424094,36654210,36808405,37041985,37428582,37743517,37760420,37922846,38448888,38731357,39017269,39052453,39097824,39366577,39391299,39510884,39718693,39767710,40379389,40891189,40983073,41135413,41239585,41645262,41705185,42403285,42603790,42609828,42696709,42979269,43254999,43481955,43985052,44030785,44170086,44450382,44727685,44853284,44986520,45192085,45273668,45312504,45360302,45436990,45781827,45829297,45888385,46053373,46380752,47064909,47279905,47721252,47961454,48286389,48582037,49076222,49183333,49364485,49487502,49595905,50046222,50370278,50609835,50883942,50976567,50983585,51016628,51124548,51128949,51527413,51919489,52034420,52138885,52178346,52508197,52748517,52779637,52836942,53045806,53528449,53673222,53919310,53983824,54230502,54502175,54524388,54706789,54768117,54865598,55066062,55330510,55507057,55527332,56312653,56379909,56444120,56735886,56740990,57404557,57782653,58266109,58290142,58382317,58712077,59192229,59237382,59502517,59515086,59526404,59738785,59818693,60205364,60731802,60846854,60853309,61143373,61180302,61345285,61425229,61605889,62032093,62441304,62566662,62730133,63499635,63556897,63746726,63921182,64076120,64177124,64564115,64703172,64855364,65175934,65402610,65468318,65595613,65915252,66279182,66396612,66772317,67053613,67431589,67732944,68089188,68245508,68358189,68461093,68849732,69104413,69402910,69762784,69877153,70077397,70207718,70246467,70335669,71047333,71451889,71511524,71625985,71686542,71708774,71808829,71911489,71957540,72085635,72257854,72884269,72988237,73095069,73198753,73358948,73610590,73614342,73957933,75011710,75034885,75078877,75176077,75520573,75839348,76199562,76763588,76891344,77018709,77075905,77181409,77476938,77860250,78483132,79324760,79615777,79650853,79930213,80470405,80906389,81471709,82006510,82087149,82702549,83052068,83087989,83283492,83403310,85037720,85431524,85554973,85951182,86132462,86335832,86349048,86502762,87054193,87769573,87981134,88235108,88332708,88378502,89229949,89240355,89702785,90014052,90024877,90041862,90191893,90363326,90518773,90586606,90704053,91170022,91624237,91728109,92234450,92286397,92423713,92491086,92650520,93066157,93432300,93734785,94615652,95189712,95299285,95309533,95667435,95669509,96014389,96313508,96564486,96843109,97084885,97127811,97142679,97736062,98212629,98356760,98407812,98720590,98815694,99226598,99397309,99406244,99661120,99936973,...,76817731760357678580356150131900714026569016462161055624087603201685391259942659524698621288543258927783293211050138836658265406885053741335464579997578026542649233282638811540223935713196799939215952796999839032958622618731605460654460759970446669113943285176632590048353156595102990498409961853824362764169501025222213407595667374848460697517380217286091765876345436703583228994555189760915858699168852859757705186292237149818788901756515603251286229276880083692765695894996332335332472521716401909240484857647806069722546228389797409547870813953437649321778900024636418521939206195095654083165466094424062578333826668697368695490033986223315126535574264051371299684422827634116117931570387065469031088180598787164796790673611098575344311463082629855221198394688638344259029440489628708936143750027387846660931567233513830272068497307148063229630809415909948198464233966458432247040391687465590903034005091594998560921558125929594330137506611432949508200240004465005843961730627696786364688743891002109841509834448713418542023253802230104107040356925310851981694213531098593894608960351943811882574126166520099916899902912957113531663000304480591769800266644084895856787617805209840237889965531575479285117124511219096975612811058763749686497503247570456362770622938157122088329149538357547257457298907763243668320271414070897850272142512322809359871996047160596205890202837165867776463174148899891629883620934035912677182656329252554270957559595596188429622659861624690423060005086516854953715430418439651241063161978369693009483915789817870182262739443159084543547902871117366290442251639110670727961846937475689869571717427750907955474663027100020639435596301744709398499147487052648117448115250175046922517248332265015045213638997203661088064886764943153249886387009796660591715497308013062329691033559294553710395835409863696983016784538167175120727694087046050415521942588692190325496654365479293552507552053544654190397959383553064606672070850867430322925046031418086555775131226755073511005955276279718070939981934006572974732891917520259754323422629740296914239190714458386072047871336173176938557376409622595261784445181636199817087168262980134055462458789462019193845474728888215181126081600963946711935004263026610637987676707206382938440063657110964121420772474434611797794569091272956560595560590831644146794599488493765574635344178558040658031550646422102625973365253990161599262659415701894843685461941329372644191679181814424849567113188477862213581345430693180917929867505564867658773250528159326641319216721892248329816085725126026691272018151706320574881220919524754933646437263332109487582809981336577975865610042645402127578549122953884208450801131078706629322131587023738462294997135439839770539004841366934914354126619508836299889025327390898492653973993381623757201800382985043485456123341679161740383102973342118643009240444718223351062604466629978551742987645541921174428633034873034203709359723436462118912526386139815357841538854333913389983410995842008431002612374318238760042621987720011598242126453271000654841027593982928847553601521581229193475746779290814688658008141218131136133753036954140301543179114415495263320506048653728554150128894328124555365594484835221978080305104569593813310799919126629916321857492892863771430580883705521955950420614943651929339151708440053682245839467178825090475868578556563802582844102613487299025131645541072213786494455981814895933988225923592240780112604518311273002371683591225764663532625813405335512077923832326589064448432052946611836287517880061659738324102592023420095870360457569514450863787895933949269952226981561968720778904494301791398791043474525729023875135093010835689201196789032816602731230751284120351066298962258822686833599833257202019476149943093894356427447916959733411723419876733941799503076925208655278241268955076214}
23988 696119088296079622955264165619561161007954354626456889245962994300852607514778: {167867,239810,263747,287772,407507,671356,742667,959080,1078965,1150896,1246492,1294758,1389506,1411811,1698107,1888811,2109448,2127011,2373129,2412587,2602811,3125267,3523737,3741467,4194925,4734011,5033910,5110106,5369504,5393747,5395298,5723027,5992750,6040692,6380411,6409756,6982012,7191300,7363547,7503707,7670720,7955546,8239298,8265165,8482811,8629560,8816176,8947811,9180011,9204864,9268156,9372866,9708255,9918198,9921707,10145896,10153067,10338011,10355472,10569011,10753667,11068898,11260811,11351066,11414133,11537027,11649906,12119356,12684827,13051067,13371107,13439877,13581448,13962856,14395132,14419907,14465411,14738267,14963356,15006146,15279129,15419147,15708213,15781547,15868936,15931405,16098227,16504811,16684898,16730411,16964186,17011816,17675747,17852553,18079898,18259187,19020107,19117686,19138293,19198811,19676296,19749146,19823267,19956181,20064412,20243665,20817256,20934467,21136226,21194812,21421811,21577576,21819827,22135833,22261307,22349507,22481747,22759150,22888252,23419413,23980957,24106787,24274773,24292398,24893387,25463085,25546907,25807811,26648546,26718707,26935067,27160624,27310980,27367187,27470426,28142987,28401011,28408936,28508830,28787848,28837346,29044811,29075356,29131712,29259011,29301827,29430227,29636092,29900411,30200666,30472898,30555702,30637677,30744986,30922907,31059976,31960053,32386329,32448011,32616827,32773176,33458987,33642777,34210596,34258510,34463848,34942473,35383811,35758427,35966267,36176685,36215411,36256907,36473425,36730216,36869823,36963266,37827827,38074811,38304986,38316165,38588464,38732027,38771829,39100811,39363205,39648441,39680092,40050925,40128933,40569467,40583158,40726900,40870576,40977626,41110212,41321493,41502347,41542811,42839906,42954011,42994187,43412022,43515496,43635866,43768110,43916027,44195747,44514947,45223898,45396616,45772156,45772648,45979398,46537811,46543298,46685984,46695587,47200525,47235846,48061110,48121826,48344507,48656987,48872280,48929987,48954933,49388605,49630187,49904776,50466261,50637011,50675627,50741186,51071193,51253907,51265184,51369347,51494229,51600011,51792011,52022147,52130432,52521732,52939811,53092307,53262285,54118307,54636141,54981315,55419746,55439627,55527016,55777811,56066605,56142873,56233150,56489627,56592085,56640630,56813104,56884269,56937707,57226586,57305692,57673332,57681947,57830411,57975940,57998786,58238027,58512866,58646736,58718507,58893448,58902947,59266326,59267176,59271227,59282906,59344787,59651565,59675411,60416672,60918587,61042436,61645547,61840346,62095298,62188667,62405411,62441507,62467893,62753212,63628336,63699827,63770785,63843011,63905685,63914742,64164707,64381852,64557011,64912811,65043025,65977578,65983336,66187067,66255129,66675573,66728296,66820307,67030811,67279926,67479780,67520867,67765307,67845256,67910502,67968756,68040453,68155485,68166064,68171932,68392067,69085427,69327347,69409165,69571128,69676898,69810011,70331356,70449256,70555150,71146307,71564296,71581878,71894747,71942181,71978432,72307336,72424346,72504227,72673067,72699184,73024156,73077467,73170626,73421416,73614333,73916267,74231253,74408005,74916227,75069333,75082187,75173212,75256705,75380411,75512747,75543853,75555417,75647848,75711011,76142786,76205411,76325913,76524942,76686822,78035267,78051630,78267519,78618107,78922972,78983176,79255413,79353448,79423307,79568709,80095150,80221405,80382947,80509833,80764787,80878965,80975736,81069205,81345753,81525011,81573736,81786582,81966347,82298397,82394065,82599093,82995765,82997186,83255072,83280947,83290998,83422216,83560811,84056747,84209306,84211307,84451298,84489011,84666180,85073147,85103829,85111485,85306885,85900226,86050427,86062165,86270896,86863298,86898827,87049667,87203480,87410867,87435213,87950507,87980411,88398227,88528816,88606547,88695707,88856073,89029756,89140427,89272629,89289606,89389405,89946925,90308046,90310592,90346811,90785584,90959507,91075811,91097703,91144252,91270281,91394987,91698685,91770453,92547467,93658811,93661956,93780892,93800411,93849993,94054787,94252187,94336667,94757987,94799185,95065811,95582056,95620089,95881773,95954485,96011147,96114180,96265686,96367298,96590411,97054758,97283046,97460092,97605277,97763901,98103915,98117867,98152456,98202477,98707298,98872878,99006227,99155950,99166811,99418773,99594918,99726587,...,115226597640536517870534225197851071039853524693241583436131404802528086889913989287047931932814888391674939816575208254987398110327580612003196869996367039813973849923958217310335903569795199908823929195499758549437933928097408190981691139955670003670914927764948885072529734892654485747614942780736544146254251537833320111393501062272691046276070325929137648814518155055374843491832784641373788048753279289636557779438355724728183352634773404876929343915320125539148543842494498502998708782574602863860727286471709104583819342584696114321806220930156473982668350036954627782908809292643481124748199141636093867500740003046053043235050979334972689803361396077056949526634241451174176897355580598203546632270898180747195186010416647863016467194623944782831797592032957516388544160734443063404215625041081769991397350850270745408102745960722094844446214123864922297696350949687648370560587531198386354551007637392497841382337188894391495206259917149424262300360006697508765942595941545179547033115836503164762264751673070127813034880703345156160560535387966277972541320296647890841913440527915717823861189249780149875349854369435670297494500456720887654700399966127343785181426707814760356834948297363218927675686766828645463419216588145624529746254871355684544155934407235683132493724307536320886185948361644865502480407121106346775408213768484214039807994070740894308835304255748801664694761223349837444825431401053869015773984493878831406436339393394282644433989792437035634590007629775282430573145627659476861594742967554539514225873684726805273394109164738626815321854306676049435663377458666006091942770406213534804357576141626361933211994540650030959153394452617064097748721230578972176172172875262570383775872498397522567820458495805491632097330147414729874829580514694990887573245962019593494536550338941830565593753114795545474525176807250762681091541130569075623282913883038285488244981548218940328761328080316981285596939075329596910008106276301145484387569047127129833662696840132610266508932914419577106409972901009859462099337876280389631485133944610445371358786071687579108071807004259765407836064614433892892676667772454299725630752394470201083193688184193028790768212093332322771689122401445920067902506394539915956981515060809574407660095485666446182131158711651917696691853636909434840893340886247466220191899232740648361953016267837060987047325969633153938960047880985242398893989123552842265528192911994058966287518772721637274350669782716793320372018146039771376894801258347301488159875792238989961978825082838372494724128587689040036908027227559480862321831379287132400469655894998164231374214972004866963798415063968103191367823684430826312676201696618059943983197380535607693442495703159759655808507262050402371531189929263254449833537991086347738980960990072435635802700574477565228184185012518742610574654460013177964513860667077335026593906699944967827614481468312881761642949552309551305564039585154693178368789579209723036762308281500870084975116493763012646503918561477358140063932981580017397363189679906500982261541390974393271330402282371843790213620168936222032987012211827196704200629555431210452314768671623242894980759072980592831225193341492186833048391727252832967120457656854390719966199878689944874482786239339295657145871325558282933925630922415477894008727562660080523368759200768237635713802867834845703874266153920230948537697468311608320679741683972722343900982338885388361170168906777466909503557525386838646995298938720108003268116885748489883596672648079419917754431276820092489607486153888035130143805540686354271676295681843900923904928340472342953081168356741452687098186565211788593535812702639516253533801795183549224904096846126926180526599448443388234030250399749885803029214224914640841534641171875439600117585129815100912699254615387812982917361903432614321}
23989 698562926364017931399395104576686084153699726184354461967687966242934440108735: {359715,383696,431658,839195,1007034,1198850,1438620,1534528,1558115,1726344,1845767,1869738,1942137,2084259,2636810,3164172,4698316,5917379,6711880,7550865,7665159,7714154,8012195,8054256,8092947,8727515,8877659,8989125,9061038,9588400,9614634,10014026,10473018,10588994,10786950,11020220,11506080,11585195,11883767,11933319,12217499,12273152,12358947,12682370,12944340,13224264,13807296,13885319,13902234,14059299,14620619,14877297,14885339,15149195,15218844,15533208,16048307,16603347,16976810,17026599,17216759,17453570,17474859,17492099,17622407,17919836,17993915,18179034,18215099,18344339,18640691,18704195,18880379,19836170,20363579,20372172,20768231,20824739,20944284,21264770,21512171,21592698,22445034,22509219,23765546,23803404,24084419,24595370,24742586,24795707,24857819,25027347,25080515,25189367,25446279,25490248,25517724,25780547,26021570,26493515,26804231,26971970,27119847,27177479,27637259,27710531,28610315,28618931,28676529,29514444,29623719,29658659,29824499,30096618,30111419,30155867,30398507,31044266,31225884,31704339,31792218,31965947,32088299,32138939,32239751,32366364,32389864,33201779,33357026,33764906,33950780,34138725,34332378,34838327,35241866,35511170,35761754,35984810,36272987,36344195,36414640,36438597,36828359,37045115,37669799,38039219,38076059,38824970,39576647,39722039,39972819,40051067,40116347,40248578,40740936,40850236,40966470,41205639,41794619,42277331,42613404,42763245,43079810,43098434,43181772,43256019,43402679,43613034,43628618,43666679,43697568,43711271,43997939,44454138,44857036,45300999,45614128,45709347,45804611,45833553,45912770,46117479,46152899,46424099,46589964,46770746,46865939,47965466,48235580,48299879,48586139,48614579,49159764,49587266,49600115,49711466,50459747,50568779,50908625,50957786,51088220,51220979,51315894,51387765,51531767,51695772,51708554,51858779,52158419,52575287,52864588,53251739,53505244,53603978,54096218,54394370,54452147,54813616,55095324,55163207,55444899,55674794,56187626,56317379,56745770,56874626,57215195,57215810,57457479,57692186,57735419,57882696,58295018,58357480,58387259,58479671,59364599,59520138,59645306,59741387,59809499,60601319,60874737,61090350,61305864,61466439,61643099,61665318,62037299,62380970,62618759,62690498,62937671,62981128,63268919,63611786,64081480,64243739,64259859,64497179,65118033,65163040,65181386,65273244,65453799,65652165,65854571,66191867,67288348,67409114,67835847,68094924,68336711,68658234,68658972,68795399,68859947,68969097,69110279,69408770,69434267,69670826,69780779,69814947,70028976,70694819,70853769,71016380,71034179,71260859,71377019,71632115,71917547,72091665,72182739,72469925,72539906,72848188,72994439,73301699,73308420,73616810,74083970,74696267,74857164,74937347,75487034,75520840,75845692,76111779,76174919,76303045,76897776,77311691,77462714,78034538,78104906,78195648,78441515,78733154,78782598,79021768,79245179,79437386,79535420,79936967,80424059,80477315,80758778,81782378,81810371,81894539,81966146,82270826,82479170,83129619,83290524,83410370,83634299,84349725,84758819,84806570,84960945,85207580,85214915,85219656,85230707,85393418,85839879,85883399,85904531,85958538,86509998,86963910,86998179,87769299,87776939,87914195,87970104,88061570,88340172,88899489,88900764,88924359,88982339,89455370,89706568,89973040,90384170,90389761,90547336,90625008,90711731,90720604,90873980,91280195,91300739,91563654,91658594,91776770,92106746,92431499,92760519,92761504,93142947,93822647,93966515,94129818,94462979,94559810,95442504,95872113,95922908,96284747,96572778,96761447,97164074,98152444,98366666,98384231,98653715,98728970,98966367,98975004,99191810,99889259,...,153635463520715357160712300263801428053138032924322111248175206403370782519885319049397242577086517855566586422100277673316530813770107482670929159995156053085298466565277623080447871426393599878431905593999678065917245237463210921308921519940893338227886570353265180096706313190205980996819923707648725528339002050444426815191334749696921395034760434572183531752690873407166457989110379521831717398337705719515410372584474299637577803513031206502572458553760167385531391789992664670664945043432803818480969715295612139445092456779594819095741627906875298643557800049272837043878412390191308166330932188848125156667653337394737390980067972446630253071148528102742599368845655268232235863140774130938062176361197574329593581347222197150688622926165259710442396789377276688518058880979257417872287500054775693321863134467027660544136994614296126459261618831819896396928467932916864494080783374931181806068010183189997121843116251859188660275013222865899016400480008930011687923461255393572729377487782004219683019668897426837084046507604460208214080713850621703963388427062197187789217920703887623765148252333040199833799805825914227063326000608961183539600533288169791713575235610419680475779931063150958570234249022438193951225622117527499372995006495140912725541245876314244176658299076715094514914597815526487336640542828141795700544285024645618719743992094321192411780405674331735552926348297799783259767241868071825354365312658505108541915119191192376859245319723249380846120010173033709907430860836879302482126323956739386018967831579635740364525478886318169087095805742234732580884503278221341455923693874951379739143434855501815910949326054200041278871192603489418796998294974105296234896230500350093845034496664530030090427277994407322176129773529886306499772774019593321183430994616026124659382067118589107420791670819727393966033569076334350241455388174092100831043885177384380650993308730958587105015104107089308380795918767106129213344141701734860645850092062836173111550262453510147022011910552559436141879963868013145949465783835040519508646845259480593828478381428916772144095742672346353877114752819245190523568890363272399634174336525960268110924917578924038387690949457776430362252163201927893423870008526053221275975353414412765876880127314221928242841544948869223595589138182545913121191121181663288293589198976987531149270688357116081316063101292844205251946730507980323198525318831403789687370923882658745288383358363628849699134226376955724427162690861386361835859735011129735317546501056318653282638433443784496659632171450252053382544036303412641149762441839049509867292874526664218975165619962673155951731220085290804255157098245907768416901602262157413258644263174047476924589994270879679541078009682733869828708253239017672599778050654781796985307947986763247514403600765970086970912246683358323480766205946684237286018480889436446702125208933259957103485975291083842348857266069746068407418719446872924237825052772279630715683077708667826779966821991684016862005224748636477520085243975440023196484252906542001309682055187965857695107203043162458386951493558581629377316016282436262272267506073908280603086358228830990526641012097307457108300257788656249110731188969670443956160610209139187626621599838253259832643714985785727542861161767411043911900841229887303858678303416880107364491678934357650180951737157113127605165688205226974598050263291082144427572988911963629791867976451847184481560225209036622546004743367182451529327065251626810671024155847664653178128896864105893223672575035760123319476648205184046840191740720915139028901727575791867898539904453963123937441557808988603582797582086949051458047750270186021671378402393578065633205462461502568240702132597924517645373667199666514404038952299886187788712854895833919466823446839753467883599006153850417310556482537910152428}
23990 701015288461212395962087215820722884648859489199409274807183483644264687342716: {311701,335734,455449,479620,527494,575544,647487,815014,1342712,1459669,1485334,1510551,1745941,1798275,1888969,1918160,2157930,2301792,2317621,2460361,2492984,2589516,2779012,2804607,2823622,3396214,3741781,3777622,3883801,3955215,4218896,4254022,4746258,4825174,5205622,5300041,5441269,5872895,6250534,6427849,7047474,7410901,7482934,8389850,8669641,9366421,9468022,9644629,10067820,10200181,10220212,10739008,10787494,10790596,11446054,11571231,11985500,12081384,12760822,12819512,13591557,13775275,13964024,14382600,14421951,14466649,14727094,15007414,15021039,15341440,15709527,15883491,15911092,16180425,16478596,16530330,16965622,17182489,17259120,17632352,17895622,18260761,18360022,18409728,18536312,18745732,19023555,19066441,19416510,19836396,19843414,19869529,20291792,20306134,20676022,20710944,20853351,21138022,21202249,21507334,21600661,22137796,22303967,22399795,22521622,22702132,22828266,22924021,23074054,23299812,24238712,24502549,25369654,25465215,25810069,26102134,26180355,26742214,26879754,27162896,27268551,27628501,27925712,28341131,28403509,28790264,28839814,28930822,29304409,29476534,29754255,29926712,29945749,30012292,30558258,30838294,31416426,31563094,31737872,31862810,31886767,31897155,32112841,32196454,32389047,32619721,32872729,33009622,33369796,33460822,33503989,33667551,33928372,34023632,34635721,34761109,35351494,35648319,35705106,36011029,36159796,36260149,36518374,36893055,37113879,37872409,38040214,38235372,38276586,38397622,39032355,39352592,39498292,39646534,39912362,39962389,40128824,40457955,40487330,40573129,41182069,41303641,41546569,41634512,41868934,42272452,42389624,42438475,42843622,42998089,43155152,43639654,43719961,43840021,43960009,44271666,44522614,44558869,44699014,44963494,45036661,45144927,45518300,45776504,46566399,46581529,46838826,47688327,47961914,47996761,48213574,48549546,48584796,48700489,48934489,49786774,50035539,50647359,50680309,50926170,51062795,51093814,51374101,51498567,51604789,51615622,52862799,53097241,53211541,53266755,53297092,53437414,53642631,53781961,53870134,53977215,54321248,54621960,54734374,54804181,54940852,55108487,55482421,56071295,56285974,56802022,56817872,56943049,57017660,57054901,57575696,57613081,57674692,57724501,58089622,58150712,58237455,58263424,58518022,58603654,58860454,59272184,59276821,59387161,59800822,59937781,60267289,60294475,60372867,60401332,60945796,61111404,61275354,61449705,61489972,61845814,62119952,62447449,63860275,63920106,64063669,64619715,64647651,64772658,64896022,65233654,65419551,65442927,65546352,66080735,66193429,66681207,66826741,66881555,66917974,67285554,67562329,67771849,68421192,68517020,68869155,68927696,69144047,69851209,69884946,70156119,70767622,70982581,71187349,71516854,71901769,71932534,71948199,72353370,72430822,72511321,72513814,72713929,72946850,73118281,73460432,73739646,73923529,73926532,74023861,74124121,74380899,74567199,75655654,76149622,76436679,76609972,76632330,76973841,77176928,77464054,77490121,77543658,77562831,77978101,78172789,78201622,78493247,78658249,78726410,79045321,79228919,79296882,79360184,79431241,80101850,80257866,80391001,80405967,81138934,81144327,81166316,81453800,81533209,81591555,81741152,81955252,82006069,82220424,82642986,82758901,83004694,83085622,83512191,83600329,84110435,84250741,84281439,85118655,85311939,85679812,85823715,85908022,85988374,86538279,86824044,86907721,87030992,87271732,87442527,87449881,87536220,87809881,87832054,87899701,87989449,88391494,88437109,88615669,88704841,88770475,89029894,89238361,89279099,89280207,89467959,90033781,90447796,90793232,90998041,91060235,91520329,91544312,91545296,91635525,91867081,91958796,92497977,93075622,93086596,93371968,93391174,93571455,93583561,93668629,94035747,94401050,94471692,94807115,95103769,95417679,96021301,96122220,96243652,96689014,97172831,97313974,97667221,97744560,97772079,97859974,97909866,98155381,98777210,99260374,99419275,99809552,...,230453195281073035741068450395702142079707049386483166872262809605056173779827978574095863865629776783349879633150416509974796220655161224006393739992734079627947699847916434620671807139590399817647858390999517098875867856194816381963382279911340007341829855529897770145059469785308971495229885561473088292508503075666640222787002124545382092552140651858275297629036310110749686983665569282747576097506558579273115558876711449456366705269546809753858687830640251078297087684988997005997417565149205727721454572943418209167638685169392228643612441860312947965336700073909255565817618585286962249496398283272187735001480006092106086470101958669945379606722792154113899053268482902348353794711161196407093264541796361494390372020833295726032934389247889565663595184065915032777088321468886126808431250082163539982794701700541490816205491921444189688892428247729844595392701899375296741121175062396772709102015274784995682764674377788782990412519834298848524600720013395017531885191883090359094066231673006329524529503346140255626069761406690312321121070775932555945082640593295781683826881055831435647722378499560299750699708738871340594989000913441775309400799932254687570362853415629520713669896594726437855351373533657290926838433176291249059492509742711369088311868814471366264987448615072641772371896723289731004960814242212693550816427536968428079615988141481788617670608511497603329389522446699674889650862802107738031547968987757662812872678786788565288867979584874071269180015259550564861146291255318953723189485935109079028451747369453610546788218329477253630643708613352098871326754917332012183885540812427069608715152283252723866423989081300061918306788905234128195497442461157944352344345750525140767551744996795045135640916991610983264194660294829459749659161029389981775146491924039186989073100677883661131187506229591090949050353614501525362183082261138151246565827766076570976489963096437880657522656160633962571193878150659193820016212552602290968775138094254259667325393680265220533017865828839154212819945802019718924198675752560779262970267889220890742717572143375158216143614008519530815672129228867785785353335544908599451261504788940402166387376368386057581536424186664645543378244802891840135805012789079831913963030121619148815320190971332892364262317423303835393383707273818869681786681772494932440383798465481296723906032535674121974094651939266307877920095761970484797787978247105684531056385823988117932575037545443274548701339565433586640744036292079542753789602516694602976319751584477979923957650165676744989448257175378080073816054455118961724643662758574264800939311789996328462748429944009733927596830127936206382735647368861652625352403393236119887966394761071215386884991406319519311617014524100804743062379858526508899667075982172695477961921980144871271605401148955130456368370025037485221149308920026355929027721334154670053187813399889935655228962936625763523285899104619102611128079170309386356737579158419446073524616563001740169950232987526025293007837122954716280127865963160034794726379359813001964523082781948786542660804564743687580427240337872444065974024423654393408401259110862420904629537343246485789961518145961185662450386682984373666096783454505665934240915313708781439932399757379889748965572478678591314291742651116565867851261844830955788017455125320161046737518401536475271427605735669691407748532307840461897075394936623216641359483367945444687801964677770776722340337813554933819007115050773677293990597877440216006536233771496979767193345296158839835508862553640184979214972307776070260287611081372708543352591363687801847809856680944685906162336713482905374196373130423577187071625405279032507067603590367098449808193692253852361053198896886776468060500799499771606058428449829281683069282343750879200235170259630201825398509230775625965834723806865228642}
23991 703476204126849796791883045232111550324576594650677874385274592113018344603020: {503601,599525,719430,767392,791241,863316,1174873,1222521,1678390,2014068,2181361,2228001,2397700,2877240,3069056,3116230,3236895,3452688,3473765,3691534,3739476,3884274,4168518,4235433,5094321,5273620,5666433,6061121,6328344,6381033,6923573,7119387,7237761,7808433,9375801,9396632,10571211,11217073,11224401,11834758,12218521,12584775,12775265,13423760,13488245,14202033,14981875,15101730,15330318,15428308,16024390,16108512,16181241,16185894,16219273,17169081,17455030,17755318,17978250,18122076,18672929,18966181,19141233,19176800,19229268,19549993,19888865,20028052,20598245,20826481,20946036,21177988,21208873,21573900,22040440,22090641,22511121,22995769,23012160,23170390,23432165,23767534,23866638,24434998,24544273,24546304,24717894,24795495,25191481,25364740,25448433,25888680,26185873,26448528,26529569,26843433,27540033,27614592,27672245,27712849,27770638,27804468,28098521,28118598,28377665,29124765,29241238,29754594,29765121,29770678,30298390,30437688,30459201,31014033,31066416,31707033,31881361,32096614,32261001,32444513,32742373,33147913,33206694,33782433,33822373,33953620,34053198,34242399,34433518,34611081,34907140,34949718,34984198,35112721,35244814,35839672,35863393,35987830,36358068,36430198,36688678,36748133,37090921,37281382,37408390,37515365,37760758,38042401,38054481,39059009,39153201,39672340,40054441,40113321,40191029,40319631,40727158,40744344,40989941,41536462,41649478,41712245,41888568,42410465,42529540,43024342,43185396,43259721,43396233,43744481,44214801,44890068,45018438,45193009,45199745,45837387,46257441,46711633,46772401,46864169,47124639,47344641,47531092,47606808,47794215,48168838,48294681,48880313,49190740,49372865,49485172,49514433,49591414,49625761,49715638,49980689,50054694,50161030,50191233,50378734,50881873,50892558,50980496,51035448,51561094,51863161,52043140,52840565,52987030,53027241,53557659,53608462,53926501,53943940,54056281,54239694,54354958,54777561,55274518,55421062,56897875,57060321,57220630,57237862,57353058,57414879,57476753,57596433,59028888,59215873,59247438,59311241,59317318,59469801,59648998,59868543,60193236,60222838,60311734,60730995,60797014,60863561,61616213,62088532,62415089,62451768,62655601,62803401,62942953,63408678,63584436,63931894,64176598,64265433,64277878,64479502,64732728,64779728,65192881,65459481,66403558,66407499,66621365,66714052,66783921,67048521,67445241,67529812,67901560,68277450,68664756,68676065,69440161,69511769,69676654,69998741,70258239,70483732,71022340,71272075,71523508,71942871,71969620,72093365,72320361,72545974,72688390,72824319,72829280,72877194,73656718,74090230,74669633,74680161,75091481,75339598,75501665,76078438,76152118,76175401,76182245,76343201,76389255,76640721,76862465,77423433,77649940,79153294,79444078,79664201,79945638,80101273,80102134,80156121,80232694,80497156,80805201,80971649,81082993,81481872,81627713,81700472,81932940,82101561,82411278,82512881,83101913,83589238,84428961,84554662,85203033,85226808,85526490,85622773,85646275,86159620,86196868,86363544,86512038,86805358,87134433,87226068,87257236,87333358,87395136,87422542,87777033,87905481,87995878,88290681,88816549,88908276,89701233,89714072,89885713,90207161,90533969,90601998,91228256,91418694,91419641,91609222,91639673,91667106,91743641,91825540,91913031,92234958,92305798,92408165,92768721,92848198,93179928,93541492,93731878,93830521,94038101,94470961,95257849,95762465,95880159,95930932,96471160,96599758,97158987,97172278,97229158,97344033,97850481,97939313,98319528,99174532,99200230,99422932,...,345679792921609553611602675593553213119560574079724750308394214407584260669741967861143795798444665175024819449725624764962194330982741836009590609989101119441921549771874651931007710709385599726471787586499275648313801784292224572945073419867010011012744783294846655217589204677963457242844828342209632438762754613499960334180503186818073138828210977787412946443554465166124530475498353924121364146259837868909673338315067174184550057904320214630788031745960376617445631527483495508996126347723808591582181859415127313751458027754088342965418662790469421948005050110863883348726427877930443374244597424908281602502220009138159129705152938004918069410084188231170848579902724353522530692066741794610639896812694542241585558031249943589049401583871834348495392776098872549165632482203329190212646875123245309974192052550812236224308237882166284533338642371594766893089052849062945111681762593595159063653022912177493524147011566683174485618779751448272786901080020092526297827787824635538641099347509509494286794255019210383439104642110035468481681606163898833917623960889943672525740321583747153471583567749340449626049563108307010892483501370162662964101199898382031355544280123444281070504844892089656783027060300485936390257649764436873589238764614067053632467803221707049397481172922608962658557845084934596507441221363319040326224641305452642119423982212222682926505912767246404994084283670049512334476294203161607047321953481636494219309018180182847933301969377311106903770022889325847291719436882978430584784228902663618542677621054180415820182327494215880445965562920028148306990132375998018275828311218640604413072728424879085799635983621950092877460183357851192293246163691736916528516518625787711151327617495192567703461375487416474896291990442244189624488741544084972662719737886058780483609651016825491696781259344386636423575530421752288043274623391707226869848741649114856464734944644656820986283984240950943856790817225988790730024318828903436453162707141381389500988090520397830799526798743258731319229918703029578386298013628841168894455401833831336114076358215062737324215421012779296223508193843301678678030003317362899176892257183410603249581064552579086372304636279996968315067367204337760203707519183619747870944545182428723222980286456999338546393476134955753090075560910728304522680022658742398660575697698221945085859048803511182961141977908899461816880143642955727196681967370658526796584578735982176898862556318164911823052009348150379961116054438119314130684403775041904464479627376716969885936475248515117484172385763067120110724081682678442586965494137861397201408967684994492694122644916014600891395245191904309574103471053292478938028605089854179831949592141606823080327487109479278967425521786151207114593569787789763349500613973259043216942882970217306907408101723432695684552555037556227831723963380039533893541582001232005079781720099834903482843444404938645284928848656928653916692118755464079535106368737629169110286924844502610254925349481289037939511755684432074420191798944740052192089569039719502946784624172923179813991206847115531370640860506808666098961036635481590112601888666293631356944306014869728684942277218941778493675580024476560499145175181758498901361372970563172159898599636069834623448358718017886971437613976674848801776892767246433682026182687980241570106277602304712907141408603504537111622798461760692845613092404934824962039225051918167031702947016656165083510506720332400728510672576160515940985896816160324009804350657245469650790017944238259753263293830460277468822458461664105390431416622059062815028887045531702771714785021417028859243505070224358061294559695635365780607438107918548760601405385550647674712290538380778541579798345330164702090751199249657409087642674743922524603923515626318800352755389445302738097763846163438948752085710297842963}
23992 705945703001819221684865164199709236696305545810040504663927040452933510940976: {263791,623402,671468,910898,959240,1054988,1079145,1151088,1294974,1630028,1984447,2517585,2685424,2698327,2919338,2970668,2997125,3021102,3491882,3596550,3777938,3836320,4120687,4262527,4315860,4545991,4603584,4635242,4674345,4920722,4985968,5179032,5537301,5558024,5609214,5647244,5676967,5826411,5958991,6252777,6592025,6792428,7483562,7555244,7767602,7910430,8222053,8437792,8484247,8508044,9042247,9181567,9492516,9650348,10154791,10411244,10432207,10600082,10847791,10882538,11745790,12501068,12855698,13875607,14094948,14821802,14965868,15240367,15376447,16326991,16779700,17339282,17752137,18732842,18936044,19285385,19289258,20135640,20400362,20440424,21026791,21425527,21478016,21574988,21581192,21956167,22353391,22652595,22892108,22995477,23142462,23409487,23672791,23971000,24036585,24067207,24162768,24278841,24984991,25035065,25521644,25639024,26182545,26472485,26632977,26939791,26967375,27183114,27550550,27846487,27928048,28765200,28843902,28933298,29135647,29454188,29520991,30014828,30042078,30682880,31055887,31359713,31419054,31705925,31766982,31822184,32360850,32706991,32957192,33060660,33338791,33931244,33968791,34220287,34364978,34518240,34755585,34973047,35264704,35473447,35651301,35791244,35799957,35847991,36521522,36652497,36720044,36819456,37072624,37076841,37491464,37684361,38047110,38081647,38132882,38328391,38574847,38833020,39672792,39686828,39739058,40583584,40612268,41352044,41421888,41655957,41706702,41994991,42177897,42237127,42276044,42404498,42442025,43014668,43201322,43563727,43633925,43861857,44275592,44607934,44631891,44656017,44799590,45043244,45239527,45404264,45447585,45596791,45656532,45848042,45953407,46148108,46190791,46546327,46599624,46782991,47019367,48144921,48477424,49005098,49590425,49810041,50066047,50739308,50930430,51079797,51455791,51620138,51650277,51686407,52204268,52261687,52360710,52424577,52476297,52867221,53161925,53484428,53759508,53981745,54325792,54537102,54645297,55033017,55257002,55449991,55788247,55851424,55922073,56112585,56641137,56682262,56807018,57580528,57679628,57861644,58608818,58953068,59355991,59413865,59508510,59853424,59891498,60024584,60126607,61090737,61116516,61221367,61488425,61676588,61856465,62304693,62417287,62474217,62832852,63126188,63173791,63475744,63725620,63773534,63794310,64225682,64392908,64536513,64569367,64778094,65053925,65102887,65239442,65745458,66019244,66587167,66739592,66903391,66921644,67007978,67335102,67429925,67527657,67856744,68047264,68266207,68787127,69271442,69522218,70702988,70852807,71296638,71410212,71487913,72022058,72253257,72319592,72520298,73036748,73091791,73293607,73786110,73796887,74227758,74387121,74398447,74573457,75082041,75241545,75568101,75744818,76080428,76088791,76338837,76470744,76553172,76795244,77341641,77610665,77758327,78064710,78499813,78705184,78827527,78996584,79293068,79480545,79824724,79924778,79983991,80175727,80257648,80271487,80412693,80915910,80974660,81130087,81146258,81225127,81359541,81532437,82171567,82364138,82607282,82911777,83093138,83131593,83269024,83392565,83577727,83737868,83763991,83949967,84412265,84413647,84544904,84779248,84876950,85687244,85830945,85856793,85996178,86029587,86310304,86341447,86523391,86976991,87279308,87439922,87680042,87920018,88058287,88104665,88543332,88777925,88871157,88975977,89045228,89117738,89398028,89404385,89473497,89926988,89962025,90073322,90277687,90289854,90334257,90467601,90540991,90716167,91036600,91152847,91195521,91553008,92513029,93132798,93138391,93163058,93634177,93677652,93820087,95113017,95376654,95897841,95923828,95993522,96086791,96264897,96416817,96427148,96719253,97062425,97077367,97099092,97169592,97400978,97568767,97868978,98543791,98705287,98785927,99573548,99605337,...,460906390562146071482136900791404284159414098772966333744525619210112347559655957148191727731259553566699759266300833019949592441310322448012787479985468159255895399695832869241343614279180799635295716781999034197751735712389632763926764559822680014683659711059795540290118939570617942990459771122946176585017006151333280445574004249090764185104281303716550595258072620221499373967331138565495152195013117158546231117753422898912733410539093619507717375661280502156594175369977994011994835130298411455442909145886836418335277370338784457287224883720625895930673400147818511131635237170573924498992796566544375470002960012184212172940203917339890759213445584308227798106536965804696707589422322392814186529083592722988780744041666591452065868778495779131327190368131830065554176642937772253616862500164327079965589403401082981632410983842888379377784856495459689190785403798750593482242350124793545418204030549569991365529348755577565980825039668597697049201440026790035063770383766180718188132463346012659049059006692280511252139522813380624642242141551865111890165281186591563367653762111662871295444756999120599501399417477742681189978001826883550618801599864509375140725706831259041427339793189452875710702747067314581853676866352582498118985019485422738176623737628942732529974897230145283544743793446579462009921628484425387101632855073936856159231976282963577235341217022995206658779044893399349779301725604215476063095937975515325625745357573577130577735959169748142538360030519101129722292582510637907446378971870218158056903494738907221093576436658954507261287417226704197742653509834664024367771081624854139217430304566505447732847978162600123836613577810468256390994884922315888704688691501050281535103489993590090271281833983221966528389320589658919499318322058779963550292983848078373978146201355767322262375012459182181898100707229003050724366164522276302493131655532153141952979926192875761315045312321267925142387756301318387640032425105204581937550276188508519334650787360530441066035731657678308425639891604039437848397351505121558525940535778441781485435144286750316432287228017039061631344258457735571570706671089817198902523009577880804332774752736772115163072848373329291086756489605783680271610025578159663827926060243238297630640381942665784728524634846607670786767414547637739363573363544989864880767596930962593447812065071348243948189303878532615755840191523940969595575956494211369062112771647976235865150075090886549097402679130867173281488072584159085507579205033389205952639503168955959847915300331353489978896514350756160147632108910237923449287325517148529601878623579992656925496859888019467855193660255872412765471294737723305250704806786472239775932789522142430773769982812639038623234029048201609486124759717053017799334151964345390955923843960289742543210802297910260912736740050074970442298617840052711858055442668309340106375626799779871310457925873251527046571798209238205222256158340618772713475158316838892147049233126003480339900465975052050586015674245909432560255731926320069589452758719626003929046165563897573085321609129487375160854480675744888131948048847308786816802518221724841809259074686492971579923036291922371324900773365968747332193566909011331868481830627417562879864799514759779497931144957357182628583485302233131735702523689661911576034910250640322093475036803072950542855211471339382815497064615680923794150789873246433282718966735890889375603929355541553444680675627109867638014230101547354587981195754880432013072467542993959534386690592317679671017725107280369958429944615552140520575222162745417086705182727375603695619713361889371812324673426965810748392746260847154374143250810558065014135207180734196899616387384507704722106397793773552936121001598999543212116856899658563366138564687501758400470340519260403650797018461551251931669447613730457284}
23993 708423814829059954060986057699630475464221787064946768659043365626510766895131: {23993,839335,935103,1007202,1199050,1318735,1366347,1438860,1534784,1582482,1726632,1942461,2037535,2349746,2445042,2900491,3356780,3713335,4028136,4362722,4379007,4456002,4531653,4795400,4863271,5237823,5394825,5666907,5754480,6138112,6232460,6473790,6905376,6947530,6952863,7059055,7163143,7381083,7383068,7478952,7738111,7768548,8337036,8413821,8470866,8490535,9444055,10188642,10547240,10635055,11225343,11332866,11651403,11865645,12062935,12122242,12656688,12762066,13014055,13847146,13950607,14238774,14475522,15616866,15626335,15900123,16323807,17618685,17885371,18674491,18707335,18751602,18793264,18883543,19119271,19198927,19283547,20974625,21142422,21819787,22068007,22232703,22434146,22448802,22565047,23391247,23669516,23670055,23988751,24437042,25169550,25550530,26008923,26847520,26968735,26976490,27054907,27232351,27844411,28099263,28404066,28615135,28623727,28837543,28933887,29154823,29669167,29963750,30203460,30600543,30660636,30856616,31353127,31902055,32048780,32217024,32362482,32371788,32438546,32447227,32598871,32805031,33207343,33544327,33713023,34338162,34713693,34910060,35510636,35956500,36141031,36244152,36751207,36817735,37345858,37518535,37932362,38282466,38353600,38458536,38741143,39027067,39062287,39099986,39282487,39376471,39583291,39728731,39777730,40056104,40194391,40774671,41196490,41325825,41577751,41652962,41801623,41892072,42151567,42355976,42414055,42417746,42707467,43147800,43265853,43399947,43417711,44080880,44181282,44739055,45022242,45063117,45600283,45812287,45900055,45991538,46024320,46160647,46340780,46864330,47128581,47387791,47535068,47650473,47733276,48541275,48869996,49088546,49092608,49195687,49435788,49590990,49608535,50382962,50504047,50729480,50765335,50896866,51547467,51690055,51698023,51777360,51932527,52371746,52521511,52792891,52845055,52897056,53059138,53260663,53686866,53768335,54782283,55080066,55229184,55344490,55384927,55425698,55447687,55541276,55608936,56197042,56237196,56304055,56755330,57070665,57199323,57685135,57797167,58249530,58397143,58482476,59068087,59374651,59509188,59517463,59530242,59541356,59608587,59833807,60353791,60596780,60875376,60918402,61440667,62004343,62028066,62132832,62420347,62560053,62937391,63279643,63414066,63424135,63572911,63606747,63762722,64193228,64522002,64801983,64889026,65255335,65484746,65865607,65985823,66238651,66295826,66413388,66855535,66911901,67098583,67199385,67564866,67644746,67907240,68106396,68484798,68619067,68772063,68867036,69122011,69222162,69814280,69899436,69968396,70095103,70225442,70489628,71469847,71679344,71726786,71929663,71975660,72099535,72327055,72716136,72860396,72902587,73313983,73377356,73496266,73507647,73691335,73763287,73976791,74028271,74181842,74562764,74816780,75030730,75097783,75194971,75521516,76084802,76108962,76187707,76349647,76395645,77095735,77200807,77324647,77430207,78118018,78233887,78306402,78541065,78907735,79344680,79657025,80108882,80226642,80382058,80491135,80639262,80978491,81226207,81454316,81488688,81492367,81805653,81908263,81979882,82524055,82723387,82885503,83072924,83298956,83424490,83652055,83777136,84773023,84820930,85023393,85059080,85210527,85918927,85988743,86048684,86370792,86519442,86792466,87488962,87913227,88378735,88429602,89262765,89780136,89819047,89837247,90036876,90047623,90223783,90386018,90399490,90541567,90727087,91295935,91674774,91751407,92447071,92514882,93269911,93287227,93423266,93544802,93728338,94046023,94249278,94664671,94689282,95062184,95100535,95213616,95588430,95660301,95691465,95693767,95994055,96146491,96337676,96338523,96589362,96777691,96867727,97167141,97515223,97760626,97859163,98381480,98400907,98618187,98745730,98970344,99028866,99033607,99116335,99182828,99251522,99422587,99431276,99780905,99793831,99961378,...,691359585843219107223205351187106426239121148159449500616788428815168521339483935722287591596889330350049638899451249529924388661965483672019181219978202238883843099543749303862015421418771199452943575172998551296627603568584449145890146839734020022025489566589693310435178409355926914485689656684419264877525509226999920668361006373636146277656421955574825892887108930332249060950996707848242728292519675737819346676630134348369100115808640429261576063491920753234891263054966991017992252695447617183164363718830254627502916055508176685930837325580938843896010100221727766697452855755860886748489194849816563205004440018276318259410305876009836138820168376462341697159805448707045061384133483589221279793625389084483171116062499887178098803167743668696990785552197745098331264964406658380425293750246490619948384105101624472448616475764332569066677284743189533786178105698125890223363525187190318127306045824354987048294023133366348971237559502896545573802160040185052595655575649271077282198695019018988573588510038420766878209284220070936963363212327797667835247921779887345051480643167494306943167135498680899252099126216614021784967002740325325928202399796764062711088560246888562141009689784179313566054120600971872780515299528873747178477529228134107264935606443414098794962345845217925317115690169869193014882442726638080652449282610905284238847964424445365853011825534492809988168567340099024668952588406323214094643906963272988438618036360365695866603938754622213807540045778651694583438873765956861169568457805327237085355242108360831640364654988431760891931125840056296613980264751996036551656622437281208826145456849758171599271967243900185754920366715702384586492327383473833057033037251575422302655234990385135406922750974832949792583980884488379248977483088169945325439475772117560967219302033650983393562518688773272847151060843504576086549246783414453739697483298229712929469889289313641972567968481901887713581634451977581460048637657806872906325414282762779001976181040795661599053597486517462638459837406059156772596027257682337788910803667662672228152716430125474648430842025558592447016387686603357356060006634725798353784514366821206499162129105158172744609272559993936630134734408675520407415038367239495741889090364857446445960572913998677092786952269911506180151121821456609045360045317484797321151395396443890171718097607022365922283955817798923633760287285911454393363934741317053593169157471964353797725112636329823646104018696300759922232108876238628261368807550083808928959254753433939771872950497030234968344771526134240221448163365356885173930988275722794402817935369988985388245289832029201782790490383808619148206942106584957876057210179708359663899184283213646160654974218958557934851043572302414229187139575579526699001227946518086433885765940434613814816203446865391369105110075112455663447926760079067787083164002464010159563440199669806965686888809877290569857697313857307833384237510928159070212737475258338220573849689005220509850698962578075879023511368864148840383597889480104384179138079439005893569248345846359627982413694231062741281721013617332197922073270963180225203777332587262713888612029739457369884554437883556987351160048953120998290350363516997802722745941126344319797199272139669246896717436035773942875227953349697603553785534492867364052365375960483140212555204609425814282817207009074223245596923521385691226184809869649924078450103836334063405894033312330167021013440664801457021345152321031881971793632320648019608701314490939301580035888476519506526587660920554937644916923328210780862833244118125630057774091063405543429570042834057718487010140448716122589119391270731561214876215837097521202810771101295349424581076761557083159596690660329404181502398499314818175285349487845049207847031252637600705510778890605476195527692326877897504171420595685926}
23994 710910569453910543225288780208289747573090905816870697293293796237616695074349: {311753,407609,527582,551333,886409,1246804,1342936,1510803,1798575,1821796,1918480,1984613,2109976,2158290,2302176,2373723,2413193,2555909,2589948,3260056,3268409,3524619,3667563,3884453,3968894,3979109,4195975,4310153,4593593,5035170,5370848,5395109,5396654,5536313,5724473,5838676,5941336,5959493,5994250,6042204,6544083,6684003,6983764,7193100,7271909,7505609,7555876,7672640,7790575,7832453,8241374,8525054,8631720,8671109,9091982,9207168,9228835,9270484,9348690,9460793,9710685,9841444,9971936,10155653,10201913,10358064,10421295,10756409,10894853,11074602,11116048,11218428,11294488,11353934,11652822,11917982,12229433,12505554,12706299,12825509,13184050,13191653,13511609,13584856,14967124,15110488,15282963,15423113,15535204,15695033,15820860,15921413,16328393,16444106,16875584,16968494,16999299,17016088,17275493,18084494,18183363,18363134,18488009,18985032,19025033,19143099,19159109,19300696,19962053,20273609,20309582,20770719,20822488,20864414,20939909,21200164,21358161,21604409,21692873,21695582,21713283,21765076,21958073,22267109,22487609,22619813,22795973,23425299,23455433,23491580,23674853,23718713,24113093,24899909,25002136,25030793,25553609,25684133,25711396,26999539,27071909,27719609,27751214,28127403,28189896,29009609,29438009,29566373,29586895,29643604,29931736,30480734,30752894,31058633,31228553,31713633,32118533,32203109,32653982,32709893,32752073,33383813,33559400,33593993,33651219,33673203,33971813,34678564,34850873,35049091,35504274,35768009,36100553,36391109,36655563,37061479,37465684,37754325,37872088,38325795,38331833,38372933,38570770,38578516,38865509,39969593,40060975,40271280,40417733,40464735,40800724,40880848,40905509,41189513,41392133,41998793,42053582,42603653,42606099,42851054,42956032,43149976,43162384,43637575,43912334,43928009,44047973,44327609,44388295,44536063,44706782,44945625,45305190,45640613,45784216,45990954,46234553,46284924,46590053,46818974,46826693,47023673,47345582,47942000,48073170,48083909,48134414,48325536,48357833,48543723,48557682,48657819,48670409,48787493,49255109,49527353,49760393,49969982,50070130,50109413,50535113,50805509,51043288,51278048,51383609,51460553,51499013,51507243,51691193,52151609,52365090,52534409,52944970,53221433,53265954,53297609,53791973,53879582,53934750,54366228,55101100,55492793,55692974,55856096,55943609,56018787,56505509,56898543,56953733,57065609,57423699,57530400,57687804,57698213,57866596,57925975,58271294,58649979,58735109,58908376,59041982,59361593,59398373,59418835,59666595,60022409,60029656,60084156,60278693,60935909,61087495,61365760,61663109,61794735,62111774,62314853,62459333,62479443,62719426,62838108,63179813,63411850,63533964,63626619,63644368,64721700,65144633,65413982,65428409,65914384,66121320,66271923,66311909,66677582,66909833,67435493,67533363,67862488,67937582,68307593,68440574,68516153,68729956,68828453,68987307,69036480,69426595,69511170,69946094,70296495,70529408,70946894,71064713,71302602,71582488,71599914,71695982,71915813,72017609,73043044,73103095,73132613,73304994,73440088,73632819,73638912,74038409,74145248,74153682,74386485,74426695,74605733,74982928,75038009,75368722,75574443,75634313,75745975,76094220,76096313,76163294,76265764,76345299,76622393,76656782,77081033,77149694,77277113,77505509,77570693,77666040,77993609,78058553,78557619,78738533,78867653,79061093,79125509,79345584,79373656,79478116,79588707,79991993,80023973,80241535,80311433,80530299,80884409,81167168,81224536,81991109,82085513,82399673,82620099,82704088,82843776,83016735,83138547,83150393,83179411,83311914,83399609,83413404,83617253,83772473,83803493,83989982,84295563,84355794,84474254,84552088,84638009,84808996,84884050,85132995,86029336,86076773,86083795,86168009,86402644,86562533,86599051,86834873,86985893,87127454,87166853,87267850,87374295,87460495,87617993,87723714,87977609,88067333,88112035,88425509,88551184,88633913,88723109,89079173,89215868,89256773,89263782,89295363,89312034,89522633,89599180,89969575,90086488,90479054,90808528,90895170,90987833,91075495,91193582,91313064,91377603,91696084,91721695,91886213,91906814,91943909,92296216,92318153,92381582,92576453,93042099,93092654,93199248,93203455,93520975,93565982,94038734,94169093,94366409,94401895,94871993,95121099,95263433,95644083,96041609,96096953,96289842,96783003,96954848,97333539,97688009,98010196,98227119,98230409,98823353,99118373,99180850,99385733,99443739,99519113,99620082,...,1037039378764828660834808026780659639358681722239174250925182643222752782009225903583431387395333995525074458349176874294886582992948225508028771829967303358325764649315623955793023132128156799179415362759497826944941405352876673718835220259601030033038234349884539965652767614033890371728534485026628897316288263840499881002541509560454219416484632933362238839330663395498373591426495061772364092438779513606729020014945201522553650173712960643892364095237881129852336894582450486526988379043171425774746545578245381941254374083262265028896255988371408265844015150332591650046179283633791330122733792274724844807506660027414477389115458814014754208230252564693512545739708173060567592076200225383831919690438083626724756674093749830767148204751615503045486178328296617647496897446609987570637940625369735929922576157652436708672924713646498853600015927114784300679267158547188835335045287780785477190959068736532480572441034700049523456856339254344818360703240060277578893483363473906615923298042528528482860382765057631150317313926330106405445044818491696501752871882669831017577220964751241460414750703248021348878148689324921032677450504110487988892303599695146094066632840370332843211514534676268970349081180901457809170772949293310620767716293842201160897403409665121148192443518767826887975673535254803789522323664089957120978673923916357926358271946636668048779517738301739214982252851010148537003428882609484821141965860444909482657927054540548543799905908131933320711310068667977541875158310648935291754352686707990855628032863162541247460546982482647641337896688760084444920970397127994054827484933655921813239218185274637257398907950865850278632380550073553576879738491075210749585549555877363133453982852485577703110384126462249424688875971326732568873466224632254917988159213658176341450828953050476475090343778033159909270726591265256864129823870175121680609546224947344569394204833933970462958851952722852831570372451677966372190072956486710309359488121424144168502964271561193492398580396229776193957689756109088735158894040886523506683366205501494008342229074645188211972646263038337888670524581529905036034090009952088697530676771550231809748743193657737259116913908839990904945202101613013280611122557550859243612833635547286169668940859370998015639180428404867259270226682732184913568040067976227195981727093094665835257577146410533548883425933726698385450640430928867181590045902111975580389753736207946530696587668954494735469156028044451139883348163314357942392053211325125713393438882130150909657809425745545352452517157289201360332172245048035327760896482413584191604226903054983478082367934748043802674185735575712928722310413159877436814085815269562539495848776424820469240982461328437836902276565358453621343780709363369290048501841919777129650828648910651920722224305170298087053657665112668683495171890140118601680624746003696015239345160299504710448530333214815935854786545970785961750076356266392238605319106212887507330860774533507830764776048443867113818535267053296223260575396834220156576268707119158508840353872518769539441973620541346594111922581520425998296883109906444770337805665998880894070832918044609186054826831656825335481026740073429681497435525545275496704084118911689516479695798908209503870345076154053660914312841930024546405330678301739301046078548063940724710318832806914138721424225810513611334868395385282078536839277214804474886117675155754501095108841049968495250531520160997202185532017728481547822957690448480972029413051971736408952370053832714779259789881491380832406467375384992316171294249866177188445086661136595108315144355064251086577730515210673074183883679086906097341822314323755646281804216156651943024136871615142335624739395035990494106272253597748972227262928024231767573811770546878956401058266168335908214293291538490316846256257130893528889}
23995 713405996824459060905892502577110014977145262626150256129092177931184931419590: {47986,791373,1175069,1558505,1678670,1846229,1870206,2014404,2277245,2398100,2637470,2732694,2852549,2877720,3069568,3164964,3237435,3427853,3453264,3884922,4075070,4699492,4890084,5198669,5800982,5953341,6713560,7298345,7426670,7552755,8056272,8094981,8648477,8725444,8729705,8758014,8912004,8991375,9063306,9444845,9590800,9726542,9882677,10475646,10789650,11333814,11508960,11588105,11886749,12276224,12301805,12362061,12464920,12787581,12947580,13221677,13637973,13810752,13895060,13905726,14023035,14118110,14326286,14762166,14766136,14889077,14957904,15476222,15537096,16487081,16611903,16674072,16827642,16888109,16941732,16981070,17030901,17479233,17626829,17876973,18219677,18708905,18758331,18888110,19200533,19419005,19776075,20377284,21094480,21270110,21368597,21876869,22069853,22450686,22665732,22689641,23302806,23665781,23731290,24125870,24244484,24666159,24801929,25313376,25452741,25487429,25524132,25675817,25787021,26028110,26190269,26500205,26810957,27126741,27206345,27234629,27544701,27644201,27694292,27901214,28477548,28951044,29364475,30436157,30464373,31233732,31252670,31296621,31800246,31973981,32096357,32139245,32543373,32647614,33138077,33328229,33547133,33828041,34847069,35063561,35237370,35770742,36282089,37054505,37348982,37414670,37503204,37586528,37679261,37756229,37767086,38238542,38397854,38567094,39285773,39586613,40061189,40126421,40392917,41149229,41581229,41626821,41949250,42155093,42284844,43348205,43413581,43639574,44008997,44136014,44207741,44229257,44465406,44662877,44868292,44897604,45130094,45721101,46129341,46164521,46435757,46719461,46780253,46782494,46832105,47339032,47340110,47977502,48223145,48525677,48874084,48980973,50339100,50472461,50581481,51000905,51101060,51544829,52017846,52171517,52525949,52588493,53256411,53695040,53937470,53952980,54109814,54464702,54465821,54725117,55177133,55688822,56003753,56198526,56545661,56808132,57230270,57247454,57675086,57856155,57867774,58285733,58309646,59338334,59379677,59686601,59756393,59927500,60406920,60616541,61163909,61201086,61321272,61713232,62634677,62706254,62751149,62942693,63080373,63804110,64097560,64260077,64276581,64434048,64724964,64743576,64877092,64894454,65197742,65610062,65617589,65868501,66414686,67060173,67088654,67143497,67426046,67454237,67957785,68484029,68676324,68876375,68986431,69427386,69451949,69798317,69820120,70228461,70712681,71018373,71021272,71052077,71071469,71913000,72109755,72201621,72282062,72333245,72366077,72488304,72836523,73502414,73635470,73748861,73769501,73983077,74380553,74691716,74954973,74956181,75037070,75105195,75275669,75411977,75864724,76194101,76564932,76707200,76917072,77482286,78054134,78124574,78199972,78547635,78564974,78600617,78752942,78825677,79133669,79166582,79417455,79457462,79555460,79898931,79957229,80112208,80388782,80759189,80819373,80902125,81095261,81096581,81499253,81549342,82392980,82651650,83155502,83305924,83539461,83603246,83784144,84303134,84711952,84828110,84835492,85188461,85252229,85414934,85912445,86295600,86531706,86799894,86835422,87406941,88161760,88362564,88562973,88625597,88793789,88831433,89153609,89478110,90044484,90126234,90231401,91200566,91303805,91357469,91624574,91800110,91983076,92048640,92321294,92349161,92681560,93167661,93597749,93728660,94079139,94257162,94354157,94775582,94879289,95070136,95117775,95300946,95332205,95466552,95701853,96046637,96309161,96785813,97082550,97739992,98120973,98177092,98185216,98391374,98871576,99181980,99217070,99347645,...,1382719171686438214446410702374212852478242296318899001233576857630337042678967871444575183193778660700099277798902499059848777323930967344038362439956404477767686199087498607724030842837542398905887150345997102593255207137168898291780293679468040044050979133179386620870356818711853828971379313368838529755051018453999841336722012747272292555312843911149651785774217860664498121901993415696485456585039351475638693353260268696738200231617280858523152126983841506469782526109933982035984505390895234366328727437660509255005832111016353371861674651161877687792020200443455533394905711511721773496978389699633126410008880036552636518820611752019672277640336752924683394319610897414090122768266967178442559587250778168966342232124999774356197606335487337393981571104395490196662529928813316760850587500492981239896768210203248944897232951528665138133354569486379067572356211396251780446727050374380636254612091648709974096588046266732697942475119005793091147604320080370105191311151298542154564397390038037977147177020076841533756418568440141873926726424655595335670495843559774690102961286334988613886334270997361798504198252433228043569934005480650651856404799593528125422177120493777124282019379568358627132108241201943745561030599057747494356955058456268214529871212886828197589924691690435850634231380339738386029764885453276161304898565221810568477695928848890731706023651068985619976337134680198049337905176812646428189287813926545976877236072720731391733207877509244427615080091557303389166877747531913722339136915610654474170710484216721663280729309976863521783862251680112593227960529503992073103313244874562417652290913699516343198543934487800371509840733431404769172984654766947666114066074503150844605310469980770270813845501949665899585167961768976758497954966176339890650878951544235121934438604067301966787125037377546545694302121687009152173098493566828907479394966596459425858939778578627283945135936963803775427163268903955162920097275315613745812650828565525558003952362081591323198107194973034925276919674812118313545192054515364675577821607335325344456305432860250949296861684051117184894032775373206714712120013269451596707569028733642412998324258210316345489218545119987873260269468817351040814830076734478991483778180729714892891921145827997354185573904539823012360302243642913218090720090634969594642302790792887780343436195214044731844567911635597847267520574571822908786727869482634107186338314943928707595450225272659647292208037392601519844464217752477256522737615100167617857918509506867879543745900994060469936689543052268480442896326730713770347861976551445588805635870739977970776490579664058403565580980767617238296413884213169915752114420359416719327798368566427292321309948437917115869702087144604828458374279151159053398002455893036172867771531880869227629632406893730782738210220150224911326895853520158135574166328004928020319126880399339613931373777619754581139715394627714615666768475021856318140425474950516676441147699378010441019701397925156151758047022737728297680767195778960208768358276158878011787138496691692719255964827388462125482563442027234664395844146541926360450407554665174525427777224059478914739769108875767113974702320097906241996580700727033995605445491882252688639594398544279338493793434872071547885750455906699395207107571068985734728104730751920966280425110409218851628565634414018148446491193847042771382452369619739299848156900207672668126811788066624660334042026881329602914042690304642063763943587264641296039217402628981878603160071776953039013053175321841109875289833846656421561725666488236251260115548182126811086859140085668115436974020280897432245178238782541463122429752431674195042405621542202590698849162153523114166319193381320658808363004796998629636350570698975690098415694062505275201411021557781210952391055384653755795008342841191371852}
23996 715910126991894548074007717627304463911964411642741479056929391823297944450485: {71979,455563,623506,815218,1055164,1102666,1603243,1772818,1889443,2318203,2460979,2493608,2518005,2603683,2685872,2805309,2997625,3021606,3031363,3316123,3597150,3643592,3836960,3884779,3956205,3969226,4099041,4219952,4316580,4604352,4747446,4826386,5111818,5179896,5301379,5442643,5827383,5874365,6112605,6520112,6536818,6570163,7049238,7272523,7335126,7768906,7937788,7958218,8391950,8620306,8671843,8701473,8811379,9187186,9368803,10070340,10202779,10341523,10741696,10757323,10790218,10793308,10906805,11072626,11140005,11448883,11448946,11677352,11725003,11882672,11918986,11988500,12084408,12276379,12920369,13088166,13137021,13368006,13594959,13967528,14386200,14543818,14589813,15011218,15111752,15345280,15581150,15664906,15713469,16184475,16482748,16916563,17000721,17050108,17263440,17342218,17368825,17861563,18183964,18265483,18414336,18457670,18540968,18697380,18921586,19071379,19205443,19421370,19682888,19740979,19943872,20311306,20403826,20716128,20842590,20858589,21177165,21489429,21512818,21606283,21789706,22143249,22149204,22232096,22269043,22436856,22588976,22707868,23214333,23305644,23720779,23835964,24458866,25011108,25241463,25412598,25471605,25651018,26368100,26383306,27023218,27169712,27635779,28332165,29055043,29440603,29934248,30081763,30220976,30305605,30565926,30846226,31070408,31390066,31641720,31842826,31905165,32121379,32248243,32628403,32656786,32754979,32888212,33676029,33751168,33936988,33998598,34032176,34550986,34617865,34644979,34770403,34954209,35596935,36168988,36188805,36366726,36394363,36726268,36976018,37758979,37970064,38050066,38286198,38318218,38376379,38601392,39042165,39924106,40547218,40619164,41314843,41421653,41436379,41541438,41644976,41728828,41851821,41879818,42400328,42647779,42716322,43208818,43385746,43391164,43426566,43530152,43851979,43916146,43972003,44534218,44975218,45048979,45239626,45591946,46712683,46850598,46879005,46910866,46983160,47349706,47437426,47539243,47700369,48226186,48713923,48971421,49279549,49298563,49799818,50004272,50061586,50810203,51107218,51368266,51422792,51503779,52539283,52633529,52856055,53112043,53226379,53656113,53796979,53999078,54143818,55439218,55502428,55948843,56023473,56085365,56122005,56254806,56379792,56650629,57070963,57182779,57357813,57596781,57740779,57850641,57852163,58019218,58408003,58876018,59132746,59173790,59287208,59403979,59863472,59954779,60394123,60961468,61092605,61505788,62117266,62143613,62457106,62923875,63427266,63652483,63867403,63876325,64189243,64237066,64406218,64937683,65307964,65419786,65459361,65504146,66204021,66318283,66698109,66767626,67118800,67187986,67302438,67346406,67441225,67476979,67695141,67943626,69357128,69701746,70098182,70173741,70592779,71008548,71010165,71105779,71536018,71966253,72024643,72201106,72782218,73311126,73543123,74045683,74122958,74145979,74646379,74909375,74931368,75244483,75508650,75542563,75744176,76651590,76663666,76745866,77121379,77141540,77157032,77513203,77610979,77731018,78026769,78196123,78487723,79455043,79939186,80031979,80121950,80542560,80835466,80906205,80929470,81096365,81164721,81601448,81697053,81761696,81811018,82030843,82379026,82407979,82783963,82784266,83186369,83439163,83533233,83811979,83997586,84107164,84297789,84646603,85207306,85212198,85522493,85702108,85845405,85871181,85912064,86299952,86324768,86512629,86801661,87275150,87464469,87824668,87836923,87856018,87926779,88016563,88095946,88464403,88655218,88732243,88776590,89007501,89072126,89413564,89891250,90149779,90610380,91026379,91113643,91281226,91548883,91568432,91801629,91895779,91981908,91982323,92327779,92469106,92569848,93180106,93364645,93637948,93653386,93698083,94047346,94059381,94691164,94797883,94830905,95301379,95706165,95884000,96051763,96146340,96167818,96268828,96651072,96715666,97087446,97115364,97197233,97315638,97340818,97341681,97574986,97749965,97796613,97861483,98415093,98510218,99054706,99444325,99520786,99622029,99939964,...,2074078757529657321669616053561319278717363444478348501850365286445505564018451807166862774790667991050148916698353748589773165985896451016057543659934606716651529298631247911586046264256313598358830725518995653889882810705753347437670440519202060066076468699769079931305535228067780743457068970053257794632576527680999762005083019120908438832969265866724477678661326790996747182852990123544728184877559027213458040029890403045107300347425921287784728190475762259704673789164900973053976758086342851549493091156490763882508748166524530057792511976742816531688030300665183300092358567267582660245467584549449689615013320054828954778230917628029508416460505129387025091479416346121135184152400450767663839380876167253449513348187499661534296409503231006090972356656593235294993794893219975141275881250739471859845152315304873417345849427292997707200031854229568601358534317094377670670090575561570954381918137473064961144882069400099046913712678508689636721406480120555157786966726947813231846596085057056965720765530115262300634627852660212810890089636983393003505743765339662035154441929502482920829501406496042697756297378649842065354901008220975977784607199390292188133265680740665686423029069352537940698162361802915618341545898586621241535432587684402321794806819330242296384887037535653775951347070509607579044647328179914241957347847832715852716543893273336097559035476603478429964505702020297074006857765218969642283931720889818965315854109081097087599811816263866641422620137335955083750316621297870583508705373415981711256065726325082494921093964965295282675793377520168889841940794255988109654969867311843626478436370549274514797815901731700557264761100147107153759476982150421499171099111754726266907965704971155406220768252924498849377751942653465137746932449264509835976318427316352682901657906100952950180687556066319818541453182530513728259647740350243361219092449894689138788409667867940925917703905445705663140744903355932744380145912973420618718976242848288337005928543122386984797160792459552387915379512218177470317788081773047013366732411002988016684458149290376423945292526076675777341049163059810072068180019904177395061353543100463619497486387315474518233827817679981809890404203226026561222245115101718487225667271094572339337881718741996031278360856809734518540453365464369827136080135952454391963454186189331670515154292821067097766851867453396770901280861857734363180091804223951160779507472415893061393175337908989470938312056088902279766696326628715884784106422650251426786877764260301819315618851491090704905034314578402720664344490096070655521792964827168383208453806109966956164735869496087605348371471151425857444620826319754873628171630539125078991697552849640938481964922656875673804553130716907242687561418726738580097003683839554259301657297821303841444448610340596174107315330225337366990343780280237203361249492007392030478690320599009420897060666429631871709573091941571923500152712532784477210638212425775014661721549067015661529552096887734227637070534106592446521150793668440313152537414238317017680707745037539078883947241082693188223845163040851996593766219812889540675611331997761788141665836089218372109653663313650670962053480146859362994871051090550993408168237823379032959391597816419007740690152308107321828625683860049092810661356603478602092157096127881449420637665613828277442848451621027222669736790770564157073678554429608949772235350311509002190217682099936990501063040321994404371064035456963095645915380896961944058826103943472817904740107665429558519579762982761664812934750769984632342588499732354376890173322273190216630288710128502173155461030421346148367767358173812194683644628647511292563608432313303886048273743230284671249478790071980988212544507195497944454525856048463535147623541093757912802116532336671816428586583076980633692512514261787057778}
23997 718422990110859656064681143490014628090098372872060697739303750839586138991822: {95972,935259,1222827,1318955,1582746,1653999,2181907,2350138,2659227,3117010,3188143,3357340,3692458,3740412,4028808,4051099,4532409,4554490,4796200,5274940,5395725,5465388,5705098,5755440,5953839,6139136,6329928,6474870,6855706,6906528,7121169,7239579,7642283,7667727,7769844,8150140,9367187,9398984,9780168,9805227,9922235,10217683,10397338,10573857,11002689,11601964,11653359,11906682,11937327,12221587,12587925,12930459,13222783,13427120,13491635,13780779,14596690,14853340,14985625,15105510,16112544,16185327,16189962,16223347,16608939,17173419,17222527,17296954,17450888,17459410,17516028,17824008,17878479,17982750,18126612,18889690,19181600,19453084,19632249,19765354,20052009,20603435,20831707,20951292,21312635,21579300,21815727,22516827,22667628,22691539,22729955,23017920,23176210,23371725,23497359,23773498,24552448,24603610,24724122,24929840,25575162,25895160,26013327,26192467,26443354,27186607,27275946,27446563,27621504,27686505,27719803,27790120,27811452,28046070,28105583,28236220,28382379,28384835,28652572,28858163,29132055,29524332,29532272,29674139,29778154,29794955,29915808,30121507,30438703,30466959,30605739,30952444,31074192,31263885,32269227,32684559,32960125,32974162,33223806,33348144,33655284,33776218,33883464,33962140,34061802,34958466,35253658,35753946,35872399,36439354,36688299,37100287,37417810,37516662,37776220,38051947,38088883,38118897,38401066,38476527,38838010,39387907,39552150,39574959,40534827,40754568,40908299,41000243,41110265,42188960,42421235,42540220,42737194,43424987,43753738,43755503,44139706,44211439,44901372,44994943,45211235,45316139,45331464,45379282,45848889,45907835,46072643,46269339,46605612,46784179,47085099,47331562,47462580,47764239,48251740,48488968,48630907,48985179,49332318,49432699,49603858,49638223,50626752,50773955,50905482,50974858,50997897,51048264,51351634,51550763,51574042,51826479,51876307,52056220,52161035,52380538,53000410,53621914,53940043,54069859,54238955,54253482,54412690,54469258,54550089,55089402,55288402,55388584,55456979,55464027,55802428,56955096,57075099,57429297,57477327,57902088,58499263,58728950,59230747,59886159,60363923,60687487,60820827,60872314,60878939,60928746,61631699,62312157,62430863,62467464,62505340,62593242,62671339,62819727,63600492,63947962,64074483,64192714,64278490,64518787,64813227,65078619,65086746,65139849,65209339,65295228,65564947,65874219,66276154,66656458,66801327,67094266,67462827,67512403,67605107,67656082,67859439,68359663,68387919,68818447,68883139,69378035,69694138,70127122,70275897,70366299,70474740,71024559,71156139,71401267,71541484,71774083,72339279,72426443,72564178,74109010,74386819,74697964,74699727,74829340,75006408,75092379,75173056,75358522,75512458,75534172,76201835,76477084,76660827,76795708,76882235,77052399,77134188,77242883,78571546,79173226,79684223,80122378,80252842,80612803,80785834,80998617,81215727,81239819,81634955,82298458,82533803,83122799,83158827,83162458,83253642,83898500,84310186,84382209,84569688,86696410,86827162,87028827,87279148,88017994,88272028,88314027,88415482,88458514,88699119,88760685,88930812,89325754,89736584,89795208,89834099,90260188,90919027,91442202,91662827,91766939,92258682,92329042,92871514,93175899,93303023,93438922,93560506,93564988,93664210,93685659,94061867,94494907,94678064,94680220,94680563,94704179,95140899,95281903,95955004,96317299,96355599,96426925,96446290,96459683,96609327,97051354,97552603,97748168,97961946,98129679,98256219,99439439,99507547,...,3111118136294485982504424080341978918076045166717522752775547929668258346027677710750294162186001986575223375047530622884659748978844676524086315489901910074977293947946871867379069396384470397538246088278493480834824216058630021156505660778803090099114703049653619896958302842101671115185603455079886691948864791521499643007624528681362658249453898800086716517991990186495120774279485185317092277316338540820187060044835604567660950521138881931677092285713643389557010683747351459580965137129514277324239636734736145823763122249786795086688767965114224797532045450997774950138537850901373990368201376824174534422519980082243432167346376442044262624690757694080537637219124519181702776228600676151495759071314250880174270022281249492301444614254846509136458534984889852942490692339829962711913821876109207789767728472957310126018774140939496560800047781344352902037801475641566506005135863342356431572877206209597441717323104100148570370569017763034455082109720180832736680450090421719847769894127585585448581148295172893450951941778990319216335134455475089505258615648009493052731662894253724381244252109744064046634446067974763098032351512331463966676910799085438282199898521110998529634543604028806911047243542704373427512318847879931862303148881526603482692210228995363444577330556303480663927020605764411368566970992269871362936021771749073779074815839910004146338553214905217644946758553030445611010286647828454463425897581334728447973781163621645631399717724395799962133930206003932625625474931946805875263058060123972566884098589487623742381640947447942924013690066280253334762911191383982164482454800967765439717654555823911772196723852597550835897141650220660730639215473225632248756648667632089400361948557456733109331152379386748274066627913980197706620398673896764753964477640974529024352486859151429425271031334099479727812179773795770592389471610525365041828638674842033708182614501801911388876555858168558494711117355033899116570218869460130928078464364272432505508892814683580477195741188689328581873069268327266205476682122659570520050098616504482025026687223935564635917938789115013666011573744589715108102270029856266092592030314650695429246229580973211777350741726519972714835606304839039841833367672652577730838500906641858509006822578112994046917541285214601777810680048196554740704120203928681587945181279283997505772731439231600646650277801180095156351921292786601544770137706335926741169261208623839592089763006863484206407468084133353419650044489943073827176159633975377140180316646390452728973428277236636057357551471867604080996516735144105983282689447240752574812680709164950434247103804244131408022557206727138786166931239479632310442257445808687618487546329274461407722947383985313510706829696075360864031342128090107870145505525759331388952485946731955762166672915510894261160972995338006050485515670420355805041874238011088045718035480898514131345590999644447807564359637912357885250229068799176715815957318638662521992582323600523492294328145331601341455605801159888669781726190502660469728806121357475526521061617556308618325920861624039782335767744561277994890649329719334311013416997996642682212498754133827558164480494970476006443080220220289044492306576635826490112252356735068549439087396724628511611035228462160982742938525790073639215992034905217903138235644191822174130956498420742416164272677431540834004605186155846235610517831644413424658353025467263503285326523149905485751594560482991606556596053185444643468873071345442916088239155915209226857110161498144337779369644474142497219402126154976948513882749598531565335259983409785324945433065192753259733191545632019222551651037260718292025466942971266938845412648469955829072410614845427006874218185107971482318816760793246916681788784072695302721435311640636869203174798505007724642879874615470950538768771392680586667}
23998 720944616439804486030450409378577460553732921479452294627594172541417499078389: {119965,143958,407677,911126,982237,1247012,1630436,2110328,2127901,2205332,2374119,3206486,3525207,3545636,3778886,3979777,4196675,4263601,4636406,4675515,4688797,4921958,4987216,5036010,5207366,5371744,5538687,5610618,5960497,5995250,6043212,6062726,6101437,6593675,6632246,6831735,7194300,7287184,7366657,7673920,7769558,7912410,7938452,8198082,8224111,8439904,8557647,8633160,9183901,9208704,9494892,9652772,9712305,10157377,10187675,10223636,10283559,10359792,10573501,10602758,10850557,10885286,10988977,11654766,11748730,12225210,13040224,13073636,13140326,14016001,14098476,14502455,14545046,14670252,14971837,15269527,15380401,15537812,15596007,15788317,15875576,15916436,16331197,16737601,16783900,17240612,17343686,17402946,17622758,17860023,18374372,18491197,18566675,18737606,18759901,19430401,20140680,20366077,20405558,20683046,21032257,21483392,21514646,21580436,21586616,21696637,21813610,21895035,22145252,22280010,22359217,22491517,22658265,22897766,22897892,23354704,23450006,23765344,23837972,23977000,24168816,24284943,24316355,24336157,24552758,24991537,25122397,25840738,25945431,26176332,26189115,26274042,26736012,26946877,26974125,27076657,27189918,27935056,27983101,28334535,28628401,28772400,29014717,29087636,29179626,29271901,29528797,29648031,29657137,29913601,30022436,30223504,30690560,30808957,31162300,31329812,31426938,32208817,32368950,32965496,33473857,33833126,34001442,34100216,34526880,34684436,34737650,34764315,35295275,35660247,35723126,35815715,35857597,35982337,36367928,36530966,36828672,36905415,36915340,37081936,37086183,37394760,37843172,38142758,38338717,38362743,38410886,38690555,38842740,39365776,39481958,39665031,39887744,40622612,40807652,40913919,41432256,41685180,41717178,41763901,42069105,42127537,42354330,42427847,42452675,42611377,42978858,43025636,43212566,43579412,44286498,44298408,44464192,44538086,44667231,44873712,45177952,45371101,45415736,45728257,46428666,46611288,47220275,47441558,47671928,48465011,48917732,49461243,49835709,49847197,50022216,50482926,50664327,50825196,50892097,50943210,51092703,51302036,51470077,51816001,52046257,52437699,52620637,52736200,52766612,52880487,53175275,53307517,53630919,54046436,54332977,54339424,54659031,55077143,55239601,55271558,55465537,56029117,56126715,56274993,56664330,56703037,57601599,58043101,58110086,58239467,58257015,58881206,58930717,59328225,59703601,59868496,60163526,60314675,60441952,60611210,61129597,61131852,61347901,61692452,61892401,62140816,62780132,63283440,63685652,63810330,64105791,64242758,64496486,65070275,65121601,65256806,65313572,65509958,65630607,65776424,66209559,66395137,66711901,67352058,67448497,67502336,67873976,67997196,68064352,68068923,69101972,69235730,69289958,69326401,69533617,69540806,69753035,69908418,70873501,70997343,71193870,71589937,72337976,72377610,72708637,72733452,72788726,73452536,73952036,73998477,74405787,74620417,75119197,75517958,75940128,76100132,76210177,76358223,76407601,76462287,76572396,76636436,76703197,76752758,77027451,77096317,77202784,77361063,77586097,78074077,78084330,78131675,78519511,78570807,79141297,79500615,79848212,80007997,80103937,80295601,80432871,80773501,81094436,81238328,81249601,81380223,81619035,81703887,82479037,82629686,82634103,82843306,82872758,82932603,83082876,83289952,83457656,83703642,83759636,84068401,84254017,84531901,84800656,85269757,85295558,85432644,85529647,86417636,86549917,86771492,86782328,86853132,87060304,87094237,87703958,87832292,87944006,88093425,89068436,89426855,89950436,90097958,90393601,90479252,91183892,91308471,91393119,91963057,92394877,93253117,93372455,93425366,93536675,93701196,93758010,93821732,93849601,93889863,93966320,94417715,94526977,94699412,94874852,95078486,95400738,95534401,95596355,95701297,95921943,95994635,96117277,96200257,96289071,96366001,96417735,96452372,97427846,97630119,97942842,98559098,98597126,98817601,99059197,99414231,99599636,99984687,...,4148157515059314643339232107122638557434726888956697003700730572891011128036903614333725549581335982100297833396707497179546331971792902032115087319869213433303058597262495823172092528512627196717661451037991307779765621411506694875340881038404120132152937399538159862611070456135561486914137940106515589265153055361999524010166038241816877665938531733448955357322653581993494365705980247089456369755118054426916080059780806090214600694851842575569456380951524519409347578329801946107953516172685703098986182312981527765017496333049060115585023953485633063376060601330366600184717134535165320490935169098899379230026640109657909556461835256059016832921010258774050182958832692242270368304800901535327678761752334506899026696374999323068592819006462012181944713313186470589987589786439950282551762501478943719690304630609746834691698854585995414400063708459137202717068634188755341340181151123141908763836274946129922289764138800198093827425357017379273442812960241110315573933453895626463693192170114113931441531060230524601269255705320425621780179273966786007011487530679324070308883859004965841659002812992085395512594757299684130709802016441951955569214398780584376266531361481331372846058138705075881396324723605831236683091797173242483070865175368804643589613638660484592769774075071307551902694141019215158089294656359828483914695695665431705433087786546672195118070953206956859929011404040594148013715530437939284567863441779637930631708218162194175199623632527733282845240274671910167500633242595741167017410746831963422512131452650164989842187929930590565351586755040337779683881588511976219309939734623687252956872741098549029595631803463401114529522200294214307518953964300842998342198223509452533815931409942310812441536505848997698755503885306930275493864898529019671952636854632705365803315812201905900361375112132639637082906365061027456519295480700486722438184899789378277576819335735881851835407810891411326281489806711865488760291825946841237437952485696576674011857086244773969594321584919104775830759024436354940635576163546094026733464822005976033368916298580752847890585052153351554682098326119620144136360039808354790122707086200927238994972774630949036467655635359963619780808406452053122444490230203436974451334542189144678675763437483992062556721713619469037080906730928739654272160271904908783926908372378663341030308585642134195533703734906793541802561723715468726360183608447902321559014944831786122786350675817978941876624112177804559533392653257431769568212845300502853573755528520603638631237702982181409810068629156805441328688980192141311043585929654336766416907612219933912329471738992175210696742942302851714889241652639509747256343261078250157983395105699281876963929845313751347609106261433814485375122837453477160194007367679108518603314595642607682888897220681192348214630660450674733980687560560474406722498984014784060957380641198018841794121332859263743419146183883143847000305425065568954421276424851550029323443098134031323059104193775468455274141068213184893042301587336880626305074828476634035361415490075078157767894482165386376447690326081703993187532439625779081351222663995523576283331672178436744219307326627301341924106960293718725989742102181101986816336475646758065918783195632838015481380304616214643657251367720098185621322713206957204184314192255762898841275331227656554885696903242054445339473581541128314147357108859217899544470700623018004380435364199873981002126080643988808742128070913926191291830761793923888117652207886945635809480215330859117039159525965523329625869501539969264685176999464708753780346644546380433260577420257004346310922060842692296735534716347624389367289257295022585127216864626607772096547486460569342498957580143961976425089014390995888909051712096927070295247082187515825604233064673343632857173166153961267385025028523574115556}
23999 723475036341341630773613576780522866329788854803293582368589887688596342838755: {191944,215937,1366689,1558765,1846537,1870518,2038045,2445654,2637910,2756665,2901217,3165492,3307998,4363814,4432045,4482577,4700276,4809729,5318454,5668329,6234020,6376286,6714680,6954609,7382937,7384916,7480824,7554015,7811049,8057616,8102198,8169337,8415927,8992875,9031789,9064818,9094089,9108980,9592400,9923065,9948369,10469209,10549880,10791450,10930776,11410196,11510880,11654337,11868615,11907678,12065965,12278272,12297123,12659856,12779545,12949740,13711412,13813056,13891129,14242338,14479158,15284566,15335454,15529921,15539688,15904137,16300280,16327929,16342045,17482149,17623095,18337815,18679177,18734374,18797968,18888289,19422265,19560336,19610454,19710489,19844470,19895545,20435366,20776921,20794676,20979875,21147714,21550765,21560029,21817569,22005378,22967965,23203928,23306718,23397121,23813364,23874654,24443174,25175850,25860918,25867249,26015529,26104419,26434137,26445566,26538457,26854240,26975545,26983270,27561558,27681565,28106409,28451581,28622365,28630921,28844809,28860577,29193380,29671069,29706680,29797465,29837689,29971250,30211020,30608337,31024569,31821937,32225088,32253241,32271969,32370654,32379924,32446694,32455369,32720415,33215689,33217878,33420015,33721489,34346649,34346838,34377937,34445054,34593908,34901776,34918820,35032056,35069437,35175009,35648016,35756958,35965500,36150109,36253224,36359545,36760429,36829137,36843769,37528045,37779380,38363200,38761107,38906168,38952875,39162265,39264498,39411063,39530708,39738769,40104018,40204477,40784877,40911721,41156137,41206870,41663414,41712937,41812129,41902584,42295021,42625270,43158600,43355545,43631454,43729561,43769439,44236669,45033654,45335256,45383078,45459910,45611737,45823801,45852349,46035840,46076497,46144175,46352420,46743450,46885549,46994718,47140407,47303965,47546996,48320089,48533809,48553425,48896689,49104896,49207220,49208041,49448244,49859680,50749689,50778265,51002163,51009565,51150324,51711049,51790320,52026654,52074121,52106475,52384934,52886708,53274049,53555437,53584689,53782045,54373214,54474265,54551892,54796449,54893126,55243008,55373010,55439606,55580240,55622904,56092140,56211166,56472440,56555137,56764758,56769670,57214137,57305144,57496009,57554371,57616329,57716326,57811681,58264110,58741609,59048664,59064544,59222937,59331217,59348278,59389729,59532409,59556308,59589910,59831616,60243014,60368989,60877406,60923629,60933918,61147165,61174177,61211478,61904888,62148384,62527770,62575767,62953297,63295729,63531495,64127545,64270969,64468287,64538454,64818849,65369118,65882161,65920250,65948324,65958265,66002449,66255289,66429747,66447612,66696288,66807129,67115437,67154749,67310568,67465561,67552436,67558045,67766928,67924280,68123604,69535057,69642999,69912301,69916932,70184521,70507316,71083537,71162337,71507892,71744798,71947837,72878708,73025449,73235677,73332409,73376598,73781929,74200574,74694649,74835620,75033324,75552440,75558649,75724389,75934537,76103894,76177766,76237794,76414815,76802132,76953054,77115565,77344081,77676020,78051709,78179389,78475165,78613789,78775814,79104300,79149918,79607065,80947201,80999017,81069654,81509136,81641965,81655129,81816598,81928849,82000486,82220530,82540777,82907337,84377920,84794329,84842470,84996495,85080440,85202737,85474388,85940521,86010409,86330281,86377465,86849974,87097981,87165129,87507476,87511006,88279412,88321809,88422878,88640449,89274937,89802744,89989886,90245289,90422470,90632278,90662928,90758564,90916815,91697778,91815670,92145286,92364637,92440045,92470429,92538678,93112969,93211224,93310921,93568358,94170198,94369969,94663124,94688509,94925160,95125165,95528478,95715495,95795545,96062761,96364137,96467809,96503480,96744729,96977936,97129249,97261814,97266877,97539949,97885209,97970358,98264937,98425921,98664636,98791837,98865398,99207716,99276446,99810265,99987241,...,6222236272588971965008848160683957836152090333435045505551095859336516692055355421500588324372003973150446750095061245769319497957689353048172630979803820149954587895893743734758138792768940795076492176556986961669648432117260042313011321557606180198229406099307239793916605684203342230371206910159773383897729583042999286015249057362725316498907797600173433035983980372990241548558970370634184554632677081640374120089671209135321901042277763863354184571427286779114021367494702919161930274259028554648479273469472291647526244499573590173377535930228449595064090901995549900277075701802747980736402753648349068845039960164486864334692752884088525249381515388161075274438249038363405552457201352302991518142628501760348540044562498984602889228509693018272917069969779705884981384679659925423827643752218415579535456945914620252037548281878993121600095562688705804075602951283133012010271726684712863145754412419194883434646208200297140741138035526068910164219440361665473360900180843439695539788255171170897162296590345786901903883557980638432670268910950179010517231296018986105463325788507448762488504219488128093268892135949526196064703024662927933353821598170876564399797042221997059269087208057613822094487085408746855024637695759863724606297763053206965384420457990726889154661112606961327854041211528822737133941984539742725872043543498147558149631679820008292677106429810435289893517106060891222020573295656908926851795162669456895947562327243291262799435448791599924267860412007865251250949863893611750526116120247945133768197178975247484763281894895885848027380132560506669525822382767964328964909601935530879435309111647823544393447705195101671794283300441321461278430946451264497513297335264178800723897114913466218662304758773496548133255827960395413240797347793529507928955281949058048704973718302858850542062668198959455624359547591541184778943221050730083657277349684067416365229003603822777753111716337116989422234710067798233140437738920261856156928728544865011017785629367160954391482377378657163746138536654532410953364245319141040100197233008964050053374447871129271835877578230027332023147489179430216204540059712532185184060629301390858492459161946423554701483453039945429671212609678079683666735345305155461677001813283717018013645156225988093835082570429203555621360096393109481408240407857363175890362558567995011545462878463201293300555602360190312703842585573203089540275412671853482338522417247679184179526013726968412814936168266706839300088979886147654352319267950754280360633292780905457946856554473272114715102943735208161993033470288211966565378894481505149625361418329900868494207608488262816045114413454277572333862478959264620884514891617375236975092658548922815445894767970627021413659392150721728062684256180215740291011051518662777904971893463911524333345831021788522321945990676012100971031340840711610083748476022176091436070961797028262691181999288895615128719275824715770500458137598353431631914637277325043985164647201046984588656290663202682911211602319777339563452381005320939457612242714951053042123235112617236651841723248079564671535489122555989781298659438668622026833995993285364424997508267655116328960989940952012886160440440578088984613153271652980224504713470137098878174793449257023222070456924321965485877051580147278431984069810435806276471288383644348261912996841484832328545354863081668009210372311692471221035663288826849316706050934527006570653046299810971503189120965983213113192106370889286937746142690885832176478311830418453714220322996288675558739288948284994438804252309953897027765499197063130670519966819570649890866130385506519466383091264038445103302074521436584050933885942533877690825296939911658144821229690854013748436370215942964637633521586493833363577568145390605442870623281273738406349597010015449285759749230941901077537542785361173334}
24000 726014280282602423016388588729430993150366811732838878838098238852219999032638: {167951,239930,287916,455639,551471,695159,815354,1030151,1698959,1822252,1964474,1985111,2128079,2413799,2494024,2556551,2699231,2805777,3031871,3126839,3260872,3668481,3956865,3980111,4122071,4220656,4255802,4311239,4410664,4736399,4748238,4961997,5019479,5396471,5537711,5678879,5875345,6101951,6412972,6545721,6665039,7050414,7091272,7367279,7414031,7557772,7792525,7834439,7959554,7974431,7977681,8393350,8527202,8673311,8812871,9231145,9272812,9351030,9370391,9377594,9463199,9564429,9843916,9880439,9974432,10072020,10204511,10343279,10414732,10435751,10743488,10851479,10897631,11077374,11221236,11386225,11542919,11818991,11920994,11990500,12086424,12125452,12153297,12202874,12691319,13187350,13264492,13332239,13597227,13663470,14062799,14262745,14388600,14574368,14733314,14745839,15018551,15347840,15427079,15539116,15699071,15824820,15876904,16187175,16396164,16448222,16513319,16879808,17115294,17139265,17266320,17861517,17954471,18367802,18417408,18492791,18806279,18989784,19164071,19305544,19424610,19833551,20303437,20314754,20375350,20412311,20447272,20567118,20719584,21147002,21205516,21211439,21363507,21432959,21610031,21698519,21701114,21718737,21770572,21831191,21977954,22361159,22625711,22926849,22933991,23003181,23309532,23497460,23856479,24382031,24450420,25037351,25690871,25821359,25993345,26080448,26147272,26280652,27208751,27640631,27726911,27856271,28028639,28032002,28101561,28196952,28415999,28630919,29004910,29060159,29090092,29145911,29317319,29340504,29415681,29531399,29574191,29766705,29943674,29958959,30539054,30653049,30760802,30811679,31075624,31192014,31236839,31576634,31721571,31751152,31832872,32211671,32253959,32338511,32662394,32718599,32887319,33008067,33475202,33518879,33567800,33728999,34042897,34400039,34481224,34687372,34805892,34860191,34960077,34985519,35152511,35245516,35720046,35811981,36027119,36234839,36491725,36664761,36748744,36982394,37022351,37133350,37475212,37519802,37763775,37765751,37848191,38095319,38342159,38383271,38752919,38791377,38860802,38998991,39668349,40184279,40281360,40474905,40732154,40811116,40916591,41322311,41342337,41366092,41403359,41524871,41767679,42064514,42131351,42655511,42966784,42977399,43029292,43160872,43173232,43242385,43393274,43459271,43627220,43648525,43739831,43790070,43939991,44059991,44290504,44560020,44718434,44778479,44956875,44983034,45256031,45316530,45772079,45795532,45795784,46563359,46709408,46721231,46800119,46900012,47194079,47224225,47530688,47547959,47675944,47954000,48214631,48337632,48555981,48569886,48632710,48670041,48672314,48800951,49105516,49385471,49413385,49657631,49826817,49983074,50142001,50244794,50665079,50896799,51513311,51520257,51628679,51667581,51681476,51820799,51890862,52051079,52281071,52352664,52378230,52548084,52549031,52625519,53312471,53472024,53635437,53893754,53948250,54153314,54166777,54379836,55508351,55809119,55870112,55959311,55966202,56034359,56669070,56745719,57081671,57193511,57256802,57268031,57544800,57940525,58029434,58085639,58175272,58359252,58492991,58543802,58896747,59057594,59157479,59296062,59314274,59433745,59827202,60039431,60044872,60149351,60156027,60295799,60405551,60447008,60478679,60807359,61381120,61509025,61617914,61810305,61898279,62324600,62441039,62495121,62659624,62853876,62981999,63341639,63664631,63736319,63937905,64094279,64415759,64417634,64737900,65091169,65163359,65447181,65930992,66108385,66401519,66947714,67069559,67454999,67489991,67550481,67559951,67666252,68002884,68074617,68189865,68200432,68431751,68640239,68828461,69053760,69333119,69367679,69368872,69475300,69528630,69574871,69850679,70115175,70160351,70492077,70590550,70880399,71017151,71187911,71320494,71446252,71596919,71631430,71715194,71964674,72038711,72715751,72735856,72749519,73061932,73322351,73557551,73657344,73810830,73830680,73959839,74160551,74163872,74172366,74427719,74445385,74661071,74727671,74789520,75686344,75755879,76217711,76250639,76285516,76677434,76725486,76821772,77136671,77381110,77593799,77626391,77685480,78016871,78039981,78568079,78577401,78731552,78858959,78963916,79330062,79775488,79823879,80047991,80111951,80335559,80431271,80813399,81162671,81245224,81559821,81615304,81763679,81827838,82110311,82204679,82339689,82435405,82487351,82518719,82864512,83059515,83159409,83370360,83434356,83527802,83797919,84107879,84138210,84255074,84293471,84316749,84440545,84447911,84708660,84855694,84905350,85147137,85154505,85222754,85309079,85957716,86051272,86103119,86194391,86425132,86574489,86589071,86861519,86952191,87103151,87158824,87396165,87644951,88004711,88094471,88134145,88572996,88596816,88750511,88928384,88988111,89022417,89076172,89195591,89334462,89384865,89550359,89747424,90355904,90364521,90578519,90742202,90831472,91098385,91190711,91316109,91400877,91451999,91456514,91817217,91972631,92001479,92059151,92404511,92857332,93034679,93222576,93544525,93791655,93859439,94029239,94440550,94565039,94817831,94883116,94985999,95293559,95343856,96002665,96127439,96210431,96403799,96807681,96930022,97095025,97654249,97719191,97835464,98053677,98126471,98855039,98880375,98922486,99230519,99671418,99694394,...,9333354408883457947513272241025936754228135500152568258326643789004775038083033132250882486558005959725670125142591868653979246936534029572258946469705730224931881843840615602137208189153411192614738264835480442504472648175890063469516982336409270297344109148960859690874908526305013345556810365239660075846594374564498929022873586044087974748361696400260149553975970559485362322838455555951276831949015622460561180134506813702982851563416645795031276857140930168671032051242054378742895411388542831972718910204208437471289366749360385260066303895342674392596136352993324850415613552704121971104604130472523603267559940246730296502039129326132787874072273082241612911657373557545108328685802028454487277213942752640522810066843748476904333842764539527409375604954669558827472077019489888135741465628327623369303185418871930378056322422818489682400143344033058706113404426924699518015407590027069294718631618628792325151969312300445711111707053289103365246329160542498210041350271265159543309682382756756345743444885518680352855825336970957649005403366425268515775846944028479158194988682761173143732756329232192139903338203924289294097054536994391900030732397256314846599695563332995588903630812086420733141730628113120282536956543639795586909446644579810448076630686986090333731991668910441991781061817293234105700912976809614088808065315247221337224447519730012439015659644715652934840275659091336833030859943485363390277692744004185343921343490864936894199153173187399886401790618011797876876424795840417625789174180371917700652295768462871227144922842343828772041070198840760004288733574151946493447364402903296319152963667471735316590171557792652507691424950661982191917646419676896746269946002896268201085845672370199327993457138160244822199883741940593119861196021690294261893432922923587073057460577454288275813094002298439183436539321387311777168414831576095125485916024526101124547843505405734166629667574505675484133352065101697349710656608380392784235393092817297516526678444050741431587223566067985745619207804981798616430046367978711560150295849513446075080061671806693907753816367345040998034721233769145324306810089568798277776090943952086287738688742919635332052225179559918144506818914517119525500103017957733192515502719925575527020467734338982140752623855643805333432040144589664222112360611786044763835543837851992517318194317694801939950833403540285469055763878359804634310413119007780223507783625871518776269289020590452619222404252400060258950133469829221481528478901926131420540949939171358186920284831709908172072654415602812242989550205432317949848068341722257724438042127494851302741311412732394224067671620181416358500793718438896931326772337426062855462638987823384223168842151955940532120489088226082592094026384270323610436516577277994166857457840195867286500018746532682783482918986014018151456547011261067415125622714033264137154106442695542394036772998933343422693078913737073655750687206397530147447871955915987565977746970801570476882984435994804024366817403479666009345178571507981409186418364072426579563184852668925854977762584872119347007303233683833984671947989158002933040250993989928046637496262401482674493441484911428019329240660660867133476919729907479470336757070205205648317262190173885534833105685386482948228815577370220917647976104715653709414706932575466522392869495262227248492818032294622502013815558467538706831553494933240273975059076401790509855979569449716457254783681448974819669788159556333930406619214036328748264717467745627680571330484494433013338108933422427491658206378464930845541648248795594696005779950229355974836299195578259779199574636896057667654953111782154876076400828913800816536237945409867487217231844536281020622654555323914446956450282379740750045366352218085908164305934921910607609524395515023173928639623846412851616306314178041760001}